unsigned char PCM_zpig2[148338] = {
1,0,0,0,2,0,0,0,68,172,0,0,177,33,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,
1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,255,255,
0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,1,0,
1,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,255,255,255,255,255,255,255,255,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,1,0,2,0,2,0,1,0,0,0,
1,0,2,0,0,0,253,255,254,255,0,0,255,255,254,255,254,255,254,255,254,255,255,255,0,0,255,255,252,255,251,255,
252,255,253,255,252,255,251,255,252,255,254,255,253,255,253,255,254,255,254,255,254,255,253,255,252,255,251,255,252,255,254,255,
254,255,254,255,255,255,253,255,253,255,255,255,1,0,255,255,252,255,251,255,251,255,254,255,1,0,254,255,253,255,1,0,
4,0,2,0,255,255,253,255,251,255,250,255,253,255,255,255,0,0,2,0,4,0,4,0,2,0,0,0,252,255,249,255,
252,255,1,0,0,0,254,255,255,255,3,0,5,0,3,0,255,255,252,255,255,255,3,0,2,0,255,255,0,0,1,0,
1,0,5,0,6,0,4,0,2,0,3,0,3,0,2,0,3,0,3,0,2,0,6,0,9,0,7,0,5,0,7,0,
10,0,7,0,0,0,251,255,254,255,4,0,5,0,2,0,2,0,255,255,254,255,3,0,5,0,253,255,247,255,251,255,
255,255,251,255,247,255,248,255,0,0,5,0,3,0,255,255,255,255,0,0,254,255,254,255,255,255,252,255,250,255,254,255,
0,0,255,255,1,0,3,0,0,0,251,255,251,255,252,255,252,255,254,255,1,0,2,0,2,0,3,0,4,0,2,0,
254,255,255,255,2,0,1,0,0,0,5,0,9,0,6,0,5,0,7,0,5,0,0,0,1,0,255,255,251,255,253,255,
5,0,8,0,8,0,5,0,0,0,0,0,4,0,3,0,254,255,253,255,1,0,2,0,5,0,7,0,6,0,6,0,
7,0,1,0,251,255,255,255,8,0,7,0,4,0,4,0,5,0,6,0,6,0,6,0,5,0,5,0,4,0,3,0,
2,0,2,0,3,0,7,0,9,0,4,0,1,0,5,0,8,0,3,0,255,255,1,0,6,0,7,0,8,0,7,0,
2,0,255,255,3,0,9,0,5,0,255,255,2,0,7,0,6,0,4,0,7,0,10,0,7,0,5,0,6,0,4,0,
255,255,254,255,1,0,0,0,255,255,2,0,4,0,2,0,2,0,5,0,0,0,251,255,0,0,3,0,249,255,246,255,
0,0,6,0,2,0,3,0,7,0,4,0,255,255,1,0,4,0,2,0,255,255,0,0,8,0,15,0,14,0,7,0,
3,0,4,0,8,0,11,0,6,0,255,255,254,255,5,0,8,0,8,0,8,0,6,0,3,0,2,0,4,0,4,0,
3,0,2,0,4,0,6,0,8,0,5,0,4,0,4,0,3,0,255,255,252,255,253,255,4,0,9,0,7,0,2,0,
0,0,255,255,1,0,5,0,3,0,250,255,252,255,7,0,9,0,2,0,2,0,5,0,2,0,2,0,4,0,255,255,
249,255,255,255,6,0,4,0,0,0,1,0,2,0,2,0,2,0,255,255,251,255,252,255,1,0,2,0,251,255,246,255,
251,255,4,0,4,0,1,0,2,0,0,0,251,255,1,0,6,0,255,255,248,255,254,255,2,0,253,255,255,255,6,0,
5,0,1,0,5,0,7,0,0,0,250,255,252,255,1,0,3,0,4,0,3,0,255,255,254,255,2,0,6,0,6,0,
1,0,255,255,2,0,4,0,1,0,0,0,2,0,4,0,4,0,1,0,252,255,251,255,0,0,2,0,251,255,246,255,
252,255,5,0,7,0,3,0,253,255,249,255,250,255,1,0,2,0,252,255,254,255,4,0,4,0,3,0,7,0,6,0,
0,0,0,0,7,0,5,0,254,255,1,0,5,0,1,0,252,255,254,255,3,0,2,0,254,255,250,255,250,255,252,255,
1,0,3,0,255,255,252,255,254,255,255,255,255,255,4,0,10,0,6,0,255,255,2,0,4,0,255,255,254,255,2,0,
2,0,255,255,3,0,7,0,2,0,250,255,247,255,250,255,251,255,250,255,249,255,249,255,252,255,255,255,255,255,254,255,
254,255,1,0,3,0,1,0,1,0,6,0,6,0,4,0,7,0,11,0,11,0,9,0,7,0,2,0,255,255,5,0,
9,0,6,0,3,0,3,0,2,0,1,0,0,0,255,255,252,255,250,255,248,255,250,255,254,255,253,255,253,255,1,0,
0,0,250,255,248,255,248,255,243,255,244,255,250,255,247,255,241,255,248,255,252,255,242,255,235,255,237,255,236,255,231,255,
234,255,236,255,231,255,229,255,235,255,239,255,236,255,233,255,230,255,227,255,225,255,227,255,229,255,229,255,230,255,232,255,
229,255,225,255,227,255,234,255,236,255,231,255,227,255,229,255,231,255,233,255,235,255,233,255,228,255,230,255,239,255,243,255,
238,255,231,255,231,255,236,255,238,255,238,255,237,255,236,255,233,255,233,255,236,255,237,255,233,255,228,255,232,255,239,255,
237,255,232,255,234,255,241,255,242,255,241,255,246,255,248,255,241,255,237,255,242,255,248,255,248,255,245,255,247,255,252,255,
255,255,253,255,249,255,247,255,248,255,250,255,249,255,246,255,246,255,0,0,5,0,253,255,247,255,252,255,2,0,255,255,
251,255,250,255,249,255,250,255,1,0,2,0,251,255,248,255,253,255,2,0,255,255,250,255,247,255,247,255,248,255,251,255,
250,255,245,255,245,255,251,255,250,255,243,255,243,255,248,255,248,255,247,255,247,255,244,255,239,255,242,255,245,255,243,255,
241,255,239,255,235,255,237,255,243,255,243,255,238,255,233,255,228,255,226,255,232,255,236,255,233,255,233,255,236,255,237,255,
235,255,235,255,233,255,230,255,232,255,236,255,237,255,236,255,237,255,241,255,247,255,248,255,241,255,239,255,244,255,244,255,
240,255,240,255,242,255,243,255,248,255,250,255,244,255,240,255,244,255,248,255,245,255,242,255,241,255,243,255,245,255,246,255,
244,255,246,255,249,255,249,255,249,255,251,255,251,255,251,255,254,255,255,255,252,255,252,255,253,255,250,255,249,255,254,255,
1,0,253,255,252,255,1,0,3,0,1,0,0,0,255,255,254,255,255,255,3,0,4,0,3,0,7,0,12,0,9,0,
4,0,5,0,10,0,11,0,11,0,13,0,11,0,7,0,5,0,7,0,11,0,14,0,9,0,1,0,0,0,3,0,
3,0,255,255,252,255,249,255,247,255,250,255,252,255,248,255,242,255,241,255,243,255,242,255,237,255,233,255,233,255,234,255,
231,255,229,255,230,255,228,255,224,255,222,255,224,255,225,255,220,255,214,255,214,255,215,255,210,255,204,255,207,255,214,255,
214,255,209,255,205,255,202,255,199,255,196,255,195,255,197,255,201,255,202,255,197,255,193,255,192,255,194,255,195,255,193,255,
189,255,191,255,196,255,197,255,195,255,196,255,195,255,192,255,192,255,194,255,194,255,193,255,194,255,195,255,198,255,203,255,
207,255,208,255,204,255,194,255,190,255,199,255,204,255,197,255,193,255,201,255,207,255,208,255,208,255,204,255,199,255,204,255,
211,255,207,255,202,255,205,255,211,255,217,255,221,255,219,255,217,255,220,255,221,255,218,255,221,255,226,255,222,255,216,255,
221,255,229,255,228,255,225,255,225,255,224,255,222,255,220,255,220,255,223,255,226,255,224,255,222,255,226,255,232,255,233,255,
229,255,229,255,235,255,238,255,235,255,232,255,235,255,238,255,237,255,237,255,239,255,240,255,240,255,241,255,237,255,232,255,
234,255,238,255,235,255,230,255,229,255,232,255,233,255,229,255,226,255,226,255,228,255,224,255,217,255,213,255,216,255,223,255,
224,255,218,255,214,255,216,255,219,255,216,255,212,255,208,255,202,255,198,255,199,255,204,255,207,255,205,255,200,255,196,255,
197,255,197,255,195,255,192,255,192,255,192,255,193,255,195,255,195,255,194,255,194,255,194,255,195,255,198,255,199,255,196,255,
196,255,201,255,205,255,205,255,205,255,205,255,205,255,205,255,209,255,210,255,206,255,204,255,206,255,208,255,208,255,208,255,
207,255,205,255,208,255,214,255,211,255,207,255,213,255,217,255,210,255,205,255,208,255,210,255,211,255,216,255,220,255,217,255,
215,255,214,255,211,255,210,255,211,255,210,255,212,255,218,255,218,255,210,255,207,255,208,255,209,255,214,255,217,255,212,255,
205,255,206,255,211,255,214,255,217,255,222,255,226,255,225,255,221,255,220,255,226,255,230,255,228,255,228,255,233,255,235,255,
238,255,247,255,247,255,236,255,231,255,234,255,232,255,228,255,231,255,234,255,232,255,231,255,236,255,239,255,233,255,222,255,
219,255,227,255,236,255,235,255,232,255,229,255,224,255,227,255,237,255,235,255,223,255,221,255,234,255,237,255,226,255,218,255,
219,255,221,255,217,255,213,255,210,255,208,255,206,255,210,255,213,255,210,255,204,255,203,255,207,255,210,255,209,255,203,255,
202,255,208,255,212,255,208,255,206,255,214,255,223,255,226,255,225,255,224,255,224,255,224,255,222,255,220,255,223,255,227,255,
227,255,229,255,235,255,234,255,227,255,226,255,230,255,227,255,221,255,222,255,224,255,219,255,216,255,219,255,219,255,214,255,
213,255,220,255,221,255,212,255,204,255,204,255,208,255,211,255,209,255,204,255,204,255,213,255,224,255,224,255,212,255,199,255,
196,255,202,255,210,255,214,255,210,255,205,255,207,255,220,255,225,255,214,255,203,255,208,255,218,255,216,255,213,255,216,255,
221,255,220,255,217,255,219,255,222,255,222,255,219,255,219,255,223,255,222,255,220,255,223,255,225,255,219,255,216,255,221,255,
221,255,217,255,216,255,214,255,209,255,211,255,219,255,223,255,221,255,216,255,213,255,214,255,216,255,211,255,206,255,211,255,
218,255,218,255,218,255,217,255,213,255,211,255,214,255,212,255,204,255,204,255,210,255,212,255,216,255,222,255,217,255,205,255,
205,255,213,255,214,255,209,255,212,255,222,255,225,255,218,255,217,255,223,255,227,255,227,255,234,255,241,255,237,255,230,255,
233,255,241,255,245,255,242,255,237,255,238,255,244,255,247,255,244,255,243,255,241,255,234,255,230,255,232,255,234,255,233,255,
235,255,236,255,232,255,228,255,226,255,224,255,221,255,219,255,221,255,227,255,229,255,224,255,219,255,216,255,213,255,216,255,
225,255,227,255,216,255,208,255,211,255,214,255,213,255,213,255,211,255,209,255,211,255,216,255,214,255,205,255,201,255,207,255,
208,255,200,255,194,255,201,255,211,255,209,255,200,255,195,255,193,255,192,255,193,255,193,255,192,255,193,255,196,255,192,255,
185,255,183,255,183,255,179,255,177,255,183,255,187,255,183,255,180,255,183,255,182,255,179,255,181,255,181,255,176,255,176,255,
182,255,182,255,179,255,181,255,184,255,181,255,178,255,176,255,174,255,174,255,176,255,172,255,168,255,169,255,169,255,165,255,
166,255,169,255,171,255,179,255,189,255,190,255,182,255,178,255,184,255,193,255,201,255,202,255,198,255,199,255,208,255,220,255,
224,255,217,255,210,255,218,255,234,255,233,255,218,255,213,255,220,255,225,255,231,255,236,255,234,255,228,255,230,255,236,255,
233,255,226,255,227,255,236,255,241,255,239,255,240,255,248,255,251,255,246,255,248,255,251,255,243,255,236,255,242,255,249,255,
245,255,241,255,244,255,244,255,239,255,236,255,236,255,234,255,233,255,235,255,236,255,233,255,231,255,233,255,236,255,235,255,
230,255,228,255,229,255,234,255,240,255,238,255,225,255,221,255,232,255,239,255,231,255,218,255,215,255,220,255,223,255,219,255,
214,255,214,255,213,255,210,255,215,255,219,255,208,255,192,255,195,255,208,255,208,255,199,255,195,255,199,255,205,255,211,255,
207,255,196,255,191,255,195,255,198,255,196,255,190,255,184,255,184,255,188,255,187,255,182,255,180,255,183,255,184,255,183,255,
183,255,181,255,176,255,173,255,175,255,179,255,181,255,183,255,187,255,189,255,186,255,181,255,178,255,183,255,190,255,190,255,
185,255,186,255,196,255,205,255,204,255,196,255,193,255,202,255,212,255,215,255,215,255,217,255,218,255,218,255,221,255,222,255,
219,255,219,255,227,255,232,255,228,255,222,255,217,255,218,255,223,255,227,255,224,255,219,255,216,255,214,255,218,255,226,255,
227,255,222,255,221,255,225,255,228,255,228,255,222,255,216,255,221,255,228,255,228,255,227,255,229,255,228,255,228,255,234,255,
234,255,220,255,215,255,225,255,227,255,219,255,221,255,235,255,241,255,233,255,222,255,217,255,219,255,220,255,218,255,219,255,
224,255,228,255,229,255,228,255,229,255,228,255,222,255,217,255,218,255,219,255,211,255,208,255,217,255,221,255,216,255,216,255,
222,255,221,255,216,255,213,255,205,255,194,255,195,255,207,255,211,255,205,255,204,255,208,255,208,255,200,255,196,255,198,255,
198,255,194,255,193,255,193,255,186,255,182,255,189,255,196,255,193,255,194,255,198,255,189,255,176,255,181,255,193,255,192,255,
186,255,189,255,196,255,198,255,199,255,200,255,197,255,193,255,194,255,195,255,191,255,186,255,189,255,195,255,195,255,193,255,
196,255,197,255,189,255,180,255,182,255,190,255,193,255,191,255,183,255,176,255,178,255,185,255,188,255,187,255,188,255,187,255,
183,255,185,255,191,255,188,255,182,255,187,255,192,255,187,255,182,255,182,255,181,255,180,255,188,255,194,255,187,255,183,255,
191,255,197,255,194,255,191,255,190,255,188,255,192,255,202,255,204,255,198,255,200,255,213,255,221,255,216,255,212,255,215,255,
220,255,221,255,225,255,233,255,234,255,226,255,225,255,231,255,233,255,234,255,239,255,240,255,233,255,234,255,243,255,242,255,
237,255,238,255,241,255,238,255,239,255,248,255,254,255,254,255,254,255,1,0,4,0,5,0,1,0,248,255,243,255,253,255,
13,0,13,0,253,255,248,255,3,0,8,0,2,0,1,0,254,255,241,255,234,255,244,255,254,255,255,255,253,255,251,255,
250,255,0,0,8,0,6,0,250,255,248,255,6,0,15,0,5,0,241,255,237,255,249,255,2,0,2,0,255,255,252,255,
250,255,245,255,237,255,236,255,248,255,0,0,247,255,240,255,242,255,242,255,239,255,245,255,250,255,245,255,239,255,238,255,
233,255,228,255,227,255,227,255,223,255,224,255,228,255,228,255,223,255,220,255,222,255,224,255,218,255,209,255,210,255,218,255,
218,255,217,255,223,255,228,255,225,255,226,255,232,255,229,255,222,255,226,255,235,255,235,255,233,255,236,255,239,255,239,255,
243,255,248,255,247,255,241,255,238,255,240,255,246,255,250,255,245,255,233,255,230,255,240,255,250,255,248,255,240,255,238,255,
244,255,251,255,250,255,242,255,237,255,244,255,252,255,249,255,238,255,234,255,237,255,236,255,231,255,233,255,238,255,234,255,
225,255,225,255,230,255,231,255,227,255,223,255,214,255,205,255,205,255,210,255,211,255,214,255,220,255,219,255,210,255,204,255,
206,255,209,255,207,255,200,255,201,255,212,255,222,255,221,255,216,255,215,255,215,255,213,255,210,255,207,255,206,255,210,255,
211,255,212,255,224,255,236,255,234,255,224,255,223,255,227,255,225,255,219,255,218,255,220,255,222,255,224,255,230,255,237,255,
241,255,241,255,234,255,222,255,218,255,228,255,237,255,234,255,231,255,239,255,247,255,251,255,249,255,239,255,227,255,226,255,
232,255,231,255,231,255,236,255,237,255,234,255,240,255,249,255,242,255,224,255,214,255,222,255,236,255,238,255,229,255,228,255,
235,255,238,255,238,255,242,255,241,255,234,255,232,255,237,255,234,255,228,255,229,255,233,255,232,255,234,255,241,255,243,255,
237,255,225,255,221,255,232,255,245,255,247,255,242,255,242,255,246,255,247,255,247,255,246,255,244,255,241,255,235,255,232,255,
237,255,243,255,241,255,236,255,239,255,241,255,238,255,234,255,233,255,235,255,239,255,240,255,239,255,239,255,241,255,241,255,
241,255,247,255,249,255,237,255,227,255,234,255,245,255,241,255,235,255,241,255,246,255,240,255,230,255,222,255,211,255,202,255,
207,255,220,255,224,255,217,255,209,255,208,255,213,255,215,255,209,255,203,255,203,255,204,255,202,255,207,255,218,255,224,255,
221,255,216,255,218,255,223,255,218,255,205,255,197,255,198,255,203,255,209,255,214,255,207,255,192,255,192,255,204,255,204,255,
185,255,172,255,176,255,178,255,171,255,170,255,175,255,171,255,162,255,166,255,179,255,176,255,156,255,143,255,142,255,146,255,
151,255,154,255,148,255,139,255,137,255,137,255,133,255,132,255,136,255,136,255,134,255,139,255,146,255,144,255,130,255,118,255,
123,255,136,255,143,255,147,255,154,255,151,255,137,255,129,255,132,255,137,255,140,255,146,255,153,255,158,255,163,255,166,255,
162,255,155,255,154,255,169,255,190,255,192,255,176,255,174,255,190,255,197,255,194,255,199,255,210,255,212,255,209,255,208,255,
210,255,213,255,218,255,222,255,229,255,237,255,237,255,231,255,234,255,244,255,250,255,247,255,243,255,242,255,249,255,1,0,
254,255,250,255,6,0,17,0,10,0,250,255,245,255,247,255,248,255,255,255,6,0,5,0,2,0,10,0,22,0,19,0,
4,0,253,255,1,0,4,0,5,0,12,0,18,0,15,0,13,0,19,0,23,0,17,0,10,0,11,0,14,0,12,0,
5,0,253,255,249,255,252,255,4,0,8,0,5,0,7,0,14,0,11,0,252,255,243,255,245,255,247,255,246,255,246,255,
245,255,241,255,239,255,243,255,244,255,239,255,231,255,226,255,220,255,214,255,214,255,217,255,216,255,216,255,223,255,231,255,
230,255,228,255,236,255,247,255,250,255,246,255,244,255,249,255,7,0,19,0,20,0,29,0,69,0,128,0,173,0,187,0,
186,0,190,0,202,0,215,0,223,0,235,0,8,1,50,1,85,1,100,1,93,1,68,1,38,1,26,1,40,1,57,1,
54,1,45,1,46,1,50,1,57,1,81,1,100,1,96,1,96,1,121,1,138,1,123,1,109,1,127,1,163,1,202,1,
254,1,53,2,72,2,40,2,251,1,235,1,239,1,233,1,220,1,216,1,216,1,219,1,224,1,210,1,159,1,99,1,
65,1,54,1,58,1,72,1,76,1,55,1,44,1,74,1,117,1,123,1,87,1,43,1,20,1,20,1,27,1,22,1,
254,0,230,0,231,0,251,0,244,0,189,0,116,0,52,0,254,255,215,255,197,255,179,255,142,255,97,255,68,255,65,255,
63,255,31,255,226,254,174,254,156,254,152,254,149,254,160,254,171,254,156,254,128,254,116,254,103,254,53,254,236,253,172,253,
133,253,122,253,135,253,131,253,75,253,6,253,233,252,231,252,204,252,150,252,94,252,50,252,38,252,76,252,127,252,134,252,
103,252,84,252,88,252,94,252,88,252,70,252,48,252,48,252,89,252,142,252,152,252,113,252,76,252,68,252,58,252,24,252,
246,251,231,251,225,251,224,251,243,251,28,252,61,252,74,252,84,252,92,252,89,252,89,252,122,252,177,252,224,252,11,253,
71,253,136,253,182,253,202,253,198,253,182,253,178,253,204,253,244,253,22,254,49,254,75,254,107,254,153,254,200,254,219,254,
213,254,222,254,7,255,52,255,87,255,128,255,187,255,2,0,75,0,132,0,158,0,165,0,179,0,201,0,229,0,21,1,
86,1,136,1,159,1,173,1,184,1,183,1,177,1,176,1,179,1,194,1,234,1,18,2,31,2,43,2,82,2,125,2,
149,2,174,2,206,2,211,2,187,2,180,2,211,2,253,2,31,3,63,3,95,3,111,3,106,3,87,3,64,3,41,3,
24,3,23,3,40,3,61,3,72,3,70,3,59,3,39,3,16,3,6,3,12,3,17,3,3,3,240,2,234,2,242,2,
248,2,247,2,237,2,219,2,197,2,180,2,170,2,154,2,124,2,88,2,60,2,43,2,28,2,5,2,224,1,169,1,
113,1,80,1,69,1,50,1,13,1,236,0,227,0,226,0,210,0,177,0,141,0,108,0,78,0,52,0,31,0,14,0,
252,255,236,255,225,255,213,255,187,255,145,255,102,255,73,255,55,255,31,255,248,254,211,254,194,254,192,254,180,254,154,254,
133,254,125,254,121,254,120,254,122,254,113,254,87,254,66,254,59,254,48,254,29,254,23,254,28,254,18,254,249,253,233,253,
225,253,211,253,194,253,178,253,153,253,129,253,125,253,133,253,129,253,119,253,121,253,128,253,133,253,141,253,148,253,138,253,
118,253,109,253,125,253,160,253,197,253,215,253,217,253,216,253,217,253,212,253,211,253,222,253,234,253,238,253,243,253,251,253,
1,254,8,254,14,254,16,254,27,254,61,254,96,254,104,254,100,254,112,254,136,254,165,254,211,254,11,255,51,255,58,255,
45,255,32,255,35,255,57,255,89,255,125,255,164,255,194,255,204,255,204,255,200,255,182,255,155,255,154,255,194,255,246,255,
15,0,13,0,8,0,19,0,47,0,72,0,87,0,97,0,108,0,116,0,126,0,153,0,191,0,216,0,227,0,251,0,
26,1,28,1,0,1,242,0,251,0,253,0,250,0,11,1,33,1,38,1,45,1,59,1,53,1,38,1,51,1,82,1,
90,1,87,1,98,1,115,1,128,1,144,1,159,1,166,1,170,1,161,1,131,1,116,1,147,1,188,1,198,1,193,1,
193,1,185,1,172,1,166,1,160,1,139,1,119,1,118,1,137,1,163,1,176,1,163,1,135,1,119,1,128,1,151,1,
162,1,148,1,136,1,148,1,162,1,151,1,137,1,141,1,135,1,106,1,84,1,83,1,82,1,71,1,56,1,40,1,
29,1,22,1,13,1,8,1,12,1,9,1,247,0,238,0,239,0,227,0,217,0,236,0,1,1,241,0,209,0,194,0,
183,0,165,0,156,0,155,0,144,0,133,0,138,0,150,0,147,0,114,0,61,0,25,0,28,0,49,0,59,0,62,0,
64,0,61,0,61,0,75,0,92,0,93,0,77,0,56,0,36,0,24,0,21,0,22,0,22,0,19,0,17,0,29,0,
49,0,40,0,246,255,196,255,182,255,198,255,225,255,241,255,229,255,202,255,195,255,205,255,207,255,198,255,189,255,183,255,
197,255,234,255,254,255,227,255,183,255,159,255,159,255,182,255,210,255,203,255,158,255,125,255,130,255,148,255,168,255,186,255,
181,255,149,255,124,255,127,255,144,255,147,255,117,255,79,255,95,255,180,255,253,255,240,255,172,255,119,255,107,255,131,255,
178,255,216,255,214,255,183,255,168,255,189,255,214,255,191,255,132,255,99,255,120,255,156,255,165,255,146,255,111,255,79,255,
73,255,94,255,116,255,120,255,103,255,75,255,61,255,70,255,80,255,66,255,37,255,8,255,254,254,24,255,58,255,43,255,
242,254,219,254,253,254,33,255,24,255,225,254,149,254,96,254,100,254,136,254,156,254,146,254,117,254,99,254,126,254,187,254,
201,254,131,254,39,254,0,254,16,254,49,254,64,254,46,254,17,254,13,254,39,254,73,254,89,254,60,254,236,253,168,253,
179,253,251,253,47,254,37,254,242,253,202,253,206,253,241,253,4,254,242,253,209,253,205,253,254,253,71,254,99,254,62,254,
14,254,5,254,27,254,63,254,94,254,99,254,82,254,82,254,106,254,129,254,146,254,160,254,160,254,160,254,189,254,227,254,
230,254,205,254,185,254,179,254,203,254,20,255,101,255,137,255,139,255,142,255,147,255,162,255,215,255,23,0,38,0,27,0,
61,0,134,0,177,0,179,0,196,0,247,0,42,1,80,1,126,1,179,1,196,1,162,1,124,1,136,1,206,1,48,2,
139,2,191,2,189,2,165,2,177,2,240,2,46,3,64,3,64,3,91,3,140,3,179,3,205,3,221,3,220,3,216,3,
244,3,49,4,96,4,92,4,52,4,27,4,45,4,100,4,167,4,223,4,243,4,210,4,151,4,129,4,168,4,218,4,
236,4,232,4,240,4,22,5,79,5,112,5,83,5,14,5,225,4,235,4,19,5,39,5,3,5,186,4,153,4,212,4,
48,5,67,5,248,4,151,4,94,4,74,4,65,4,60,4,62,4,65,4,76,4,110,4,139,4,95,4,221,3,104,3,
84,3,131,3,154,3,112,3,24,3,196,2,162,2,184,2,210,2,183,2,98,2,254,1,187,1,161,1,135,1,65,1,
224,0,161,0,165,0,215,0,254,0,218,0,93,0,205,255,127,255,116,255,119,255,96,255,40,255,219,254,158,254,139,254,
137,254,114,254,53,254,215,253,106,253,26,253,240,252,191,252,117,252,69,252,77,252,102,252,112,252,104,252,45,252,175,251,
49,251,244,250,221,250,184,250,139,250,120,250,140,250,185,250,208,250,149,250,19,250,161,249,107,249,78,249,42,249,254,248,
211,248,188,248,209,248,254,248,8,249,212,248,127,248,47,248,2,248,8,248,48,248,72,248,56,248,31,248,37,248,68,248,
82,248,53,248,13,248,10,248,40,248,66,248,77,248,84,248,90,248,95,248,108,248,120,248,110,248,83,248,71,248,98,248,
156,248,213,248,242,248,252,248,24,249,76,249,129,249,173,249,198,249,186,249,159,249,189,249,37,250,142,250,184,250,189,250,
206,250,243,250,33,251,85,251,130,251,149,251,145,251,158,251,216,251,43,252,104,252,132,252,149,252,170,252,213,252,46,253,
158,253,228,253,249,253,21,254,80,254,141,254,186,254,218,254,243,254,31,255,110,255,195,255,0,0,56,0,119,0,163,0,
198,0,5,1,63,1,56,1,24,1,54,1,140,1,217,1,7,2,45,2,100,2,180,2,5,3,61,3,105,3,146,3,
162,3,160,3,204,3,36,4,91,4,105,4,153,4,239,4,38,5,50,5,61,5,84,5,103,5,111,5,115,5,137,5,
192,5,1,6,43,6,63,6,77,6,87,6,102,6,145,6,201,6,245,6,28,7,66,7,79,7,76,7,90,7,112,7,
120,7,135,7,172,7,193,7,178,7,168,7,199,7,10,8,77,8,101,8,69,8,26,8,19,8,25,8,11,8,247,7,
240,7,242,7,10,8,74,8,148,8,175,8,142,8,78,8,30,8,30,8,55,8,56,8,28,8,9,8,1,8,247,7,
243,7,242,7,211,7,159,7,124,7,66,7,160,6,224,5,227,5,233,6,223,7,151,7,118,6,22,6,21,7,15,8,
94,7,72,5,201,3,61,4,191,5,68,6,44,5,7,4,95,4,147,5,221,5,208,4,172,3,121,3,205,3,157,3,
179,2,10,2,119,2,98,3,130,3,172,2,231,1,234,1,84,2,95,2,186,1,221,0,163,0,64,1,225,1,204,1,
78,1,7,1,251,0,219,0,133,0,17,0,195,255,202,255,214,255,136,255,70,255,157,255,13,0,175,255,179,254,14,254,
11,254,36,254,245,253,168,253,159,253,0,254,104,254,79,254,188,253,52,253,255,252,232,252,178,252,106,252,68,252,93,252,
133,252,101,252,255,251,181,251,161,251,112,251,3,251,172,250,150,250,133,250,83,250,38,250,26,250,23,250,4,250,225,249,
162,249,50,249,166,248,56,248,2,248,247,247,10,248,37,248,31,248,230,247,164,247,106,247,24,247,171,246,74,246,249,245,
196,245,226,245,62,246,102,246,51,246,245,245,213,245,174,245,124,245,89,245,57,245,18,245,6,245,44,245,116,245,184,245,
212,245,186,245,135,245,101,245,93,245,109,245,145,245,147,245,88,245,62,245,168,245,59,246,93,246,52,246,62,246,116,246,
149,246,177,246,209,246,186,246,135,246,181,246,95,247,19,248,109,248,116,248,108,248,143,248,211,248,254,248,253,248,251,248,
42,249,137,249,240,249,54,250,83,250,91,250,91,250,96,250,138,250,249,250,134,251,209,251,202,251,221,251,81,252,241,252,
92,253,101,253,42,253,29,253,143,253,50,254,144,254,174,254,217,254,50,255,175,255,50,0,134,0,142,0,92,0,43,0,
73,0,186,0,22,1,51,1,104,1,216,1,71,2,174,2,24,3,68,3,22,3,234,2,20,3,123,3,222,3,31,4,
91,4,186,4,44,5,133,5,184,5,188,5,145,5,115,5,163,5,19,6,125,6,171,6,166,6,176,6,235,6,41,7,
70,7,89,7,119,7,171,7,250,7,55,8,52,8,33,8,67,8,146,8,238,8,62,9,100,9,112,9,140,9,168,9,
173,9,197,9,2,10,47,10,66,10,105,10,154,10,152,10,98,10,49,10,43,10,81,10,140,10,180,10,182,10,184,10,
218,10,244,10,229,10,213,10,215,10,205,10,199,10,223,10,241,10,236,10,240,10,234,10,195,10,180,10,203,10,183,10,
100,10,10,10,193,9,159,9,181,9,199,9,172,9,142,9,108,9,32,9,215,8,176,8,122,8,51,8,18,8,10,8,
1,8,8,8,18,8,0,8,231,7,208,7,159,7,98,7,59,7,24,7,223,6,160,6,107,6,51,6,227,5,152,5,
130,5,133,5,85,5,1,5,213,4,201,4,194,4,212,4,216,4,122,4,226,3,128,3,113,3,147,3,187,3,174,3,
106,3,61,3,63,3,41,3,202,2,57,2,172,1,93,1,79,1,68,1,15,1,201,0,155,0,124,0,67,0,236,255,
150,255,75,255,241,254,144,254,86,254,84,254,115,254,146,254,135,254,62,254,198,253,58,253,195,252,132,252,103,252,55,252,
252,251,228,251,234,251,225,251,152,251,15,251,113,250,217,249,77,249,254,248,12,249,50,249,56,249,51,249,27,249,214,248,
161,248,138,248,59,248,164,247,28,247,202,246,182,246,238,246,47,247,38,247,241,246,184,246,112,246,32,246,208,245,93,245,
208,244,100,244,52,244,80,244,172,244,232,244,195,244,116,244,47,244,237,243,198,243,198,243,175,243,120,243,115,243,186,243,
18,244,73,244,83,244,53,244,2,244,213,243,183,243,168,243,161,243,160,243,178,243,214,243,8,244,59,244,95,244,120,244,
148,244,145,244,87,244,47,244,90,244,178,244,22,245,157,245,49,246,145,246,198,246,244,246,21,247,38,247,49,247,52,247,
48,247,70,247,159,247,56,248,222,248,69,249,89,249,73,249,86,249,141,249,201,249,222,249,220,249,239,249,57,250,215,250,
191,251,135,252,227,252,3,253,44,253,97,253,167,253,245,253,33,254,77,254,182,254,51,255,144,255,241,255,89,0,146,0,
175,0,221,0,11,1,50,1,91,1,127,1,192,1,66,2,207,2,51,3,140,3,226,3,35,4,115,4,213,4,16,5,
50,5,115,5,193,5,17,6,133,6,3,7,64,7,64,7,64,7,89,7,132,7,165,7,171,7,184,7,247,7,86,8,
168,8,211,8,225,8,245,8,32,9,70,9,100,9,145,9,197,9,235,9,32,10,119,10,202,10,249,10,23,11,59,11,
81,11,61,11,11,11,219,10,192,10,215,10,51,11,161,11,207,11,183,11,126,11,50,11,238,10,199,10,159,10,117,10,
126,10,199,10,45,11,156,11,224,11,176,11,57,11,237,10,223,10,224,10,217,10,179,10,111,10,72,10,95,10,125,10,
102,10,32,10,211,9,144,9,71,9,250,8,199,8,156,8,84,8,16,8,237,7,193,7,134,7,82,7,2,7,149,6,
93,6,99,6,106,6,120,6,149,6,134,6,62,6,224,5,83,5,154,4,11,4,194,3,154,3,156,3,187,3,179,3,
116,3,33,3,181,2,39,2,139,1,247,0,142,0,111,0,125,0,143,0,168,0,185,0,153,0,87,0,20,0,192,255,
85,255,250,254,182,254,106,254,44,254,37,254,55,254,26,254,207,253,141,253,97,253,57,253,8,253,168,252,8,252,133,251,
120,251,170,251,180,251,143,251,78,251,249,250,184,250,160,250,137,250,97,250,62,250,43,250,41,250,50,250,40,250,244,249,
160,249,44,249,175,248,98,248,84,248,102,248,135,248,148,248,95,248,2,248,174,247,107,247,69,247,70,247,59,247,8,247,
218,246,193,246,164,246,146,246,156,246,181,246,217,246,235,246,192,246,129,246,104,246,83,246,27,246,235,245,228,245,2,246,
66,246,123,246,109,246,22,246,169,245,89,245,98,245,210,245,97,246,189,246,195,246,131,246,88,246,144,246,232,246,246,246,
215,246,236,246,77,247,213,247,73,248,133,248,160,248,189,248,214,248,241,248,32,249,62,249,58,249,86,249,182,249,37,250,
128,250,212,250,38,251,112,251,175,251,186,251,123,251,68,251,136,251,71,252,28,253,202,253,82,254,171,254,232,254,57,255,
123,255,106,255,50,255,38,255,75,255,178,255,129,0,95,1,212,1,248,1,7,2,4,2,22,2,93,2,148,2,150,2,
169,2,240,2,86,3,230,3,147,4,19,5,65,5,61,5,54,5,86,5,151,5,213,5,19,6,92,6,152,6,212,6,
42,7,93,7,68,7,41,7,53,7,50,7,38,7,82,7,180,7,33,8,129,8,190,8,206,8,195,8,182,8,190,8,
214,8,216,8,194,8,196,8,245,8,74,9,185,9,8,10,0,10,213,9,192,9,158,9,96,9,53,9,32,9,20,9,
56,9,130,9,159,9,119,9,65,9,24,9,245,8,213,8,181,8,137,8,85,8,63,8,100,8,172,8,221,8,215,8,
158,8,74,8,248,7,165,7,50,7,171,6,78,6,59,6,99,6,162,6,181,6,104,6,212,5,54,5,169,4,64,4,
7,4,238,3,226,3,203,3,158,3,109,3,65,3,252,2,164,2,87,2,248,1,127,1,54,1,34,1,252,0,204,0,
177,0,121,0,31,0,216,255,124,255,209,254,29,254,164,253,89,253,66,253,99,253,128,253,106,253,37,253,174,252,29,252,
161,251,64,251,6,251,22,251,86,251,128,251,144,251,133,251,61,251,205,250,108,250,3,250,115,249,230,248,140,248,123,248,
172,248,235,248,236,248,171,248,92,248,24,248,187,247,45,247,131,246,215,245,67,245,4,245,69,245,179,245,226,245,208,245,
150,245,30,245,149,244,64,244,240,243,99,243,213,242,127,242,60,242,20,242,61,242,128,242,113,242,23,242,206,241,168,241,
105,241,245,240,110,240,24,240,61,240,232,240,160,241,223,241,172,241,90,241,14,241,240,240,40,241,103,241,77,241,13,241,
21,241,116,241,252,241,92,242,75,242,252,241,242,241,64,242,140,242,151,242,79,242,230,241,211,241,89,242,74,243,83,244,
16,245,50,245,243,244,214,244,4,245,101,245,229,245,93,246,208,246,116,247,41,248,153,248,211,248,4,249,23,249,44,249,
146,249,51,250,191,250,34,251,90,251,107,251,157,251,32,252,179,252,24,253,111,253,233,253,120,254,239,254,60,255,132,255,
1,0,200,0,179,1,114,2,199,2,221,2,24,3,150,3,49,4,193,4,37,5,79,5,120,5,242,5,183,6,89,7,
115,7,42,7,18,7,132,7,86,8,39,9,166,9,190,9,183,9,237,9,113,10,19,11,151,11,198,11,198,11,21,12,
217,12,177,13,56,14,76,14,6,14,223,13,58,14,216,14,71,15,115,15,120,15,104,15,102,15,149,15,237,15,75,16,
132,16,145,16,152,16,172,16,181,16,180,16,185,16,209,16,20,17,127,17,213,17,2,18,28,18,13,18,203,17,143,17,
95,17,24,17,241,16,5,17,1,17,210,16,177,16,129,16,38,16,233,15,205,15,116,15,244,14,167,14,120,14,61,14,
9,14,201,13,87,13,228,12,166,12,128,12,67,12,235,11,135,11,23,11,159,10,50,10,219,9,128,9,254,8,93,8,
190,7,56,7,211,6,129,6,31,6,159,5,24,5,173,4,107,4,51,4,207,3,49,3,133,2,2,2,206,1,216,1,
213,1,156,1,76,1,249,0,143,0,30,0,183,255,73,255,219,254,135,254,75,254,35,254,20,254,242,253,149,253,15,253,
125,252,253,251,182,251,152,251,115,251,79,251,57,251,23,251,243,250,236,250,211,250,127,250,28,250,217,249,194,249,212,249,
228,249,190,249,116,249,40,249,207,248,122,248,57,248,237,247,154,247,108,247,92,247,69,247,47,247,31,247,8,247,239,246,
208,246,148,246,72,246,7,246,233,245,13,246,92,246,133,246,134,246,159,246,203,246,224,246,217,246,154,246,20,246,179,245,
216,245,80,246,188,246,240,246,214,246,140,246,98,246,121,246,171,246,219,246,251,246,2,247,20,247,100,247,225,247,68,248,
116,248,148,248,198,248,8,249,86,249,175,249,250,249,40,250,83,250,149,250,233,250,65,251,129,251,142,251,128,251,135,251,
183,251,23,252,150,252,255,252,71,253,146,253,208,253,247,253,57,254,140,254,187,254,249,254,135,255,20,0,101,0,188,0,
32,1,91,1,141,1,214,1,7,2,33,2,95,2,172,2,215,2,248,2,43,3,104,3,170,3,247,3,74,4,141,4,
161,4,151,4,170,4,243,4,96,5,232,5,111,6,199,6,239,6,243,6,216,6,224,6,51,7,131,7,147,7,173,7,
3,8,95,8,145,8,137,8,67,8,241,7,209,7,220,7,7,8,92,8,165,8,161,8,121,8,127,8,192,8,23,9,
89,9,92,9,23,9,193,8,166,8,213,8,22,9,64,9,98,9,128,9,128,9,104,9,68,9,238,8,96,8,236,7,
204,7,224,7,245,7,251,7,249,7,239,7,196,7,110,7,12,7,209,6,213,6,0,7,17,7,234,6,166,6,94,6,
27,6,250,5,247,5,212,5,145,5,100,5,63,5,12,5,239,4,200,4,79,4,173,3,42,3,187,2,99,2,61,2,
17,2,197,1,177,1,228,1,3,2,239,1,183,1,67,1,169,0,51,0,243,255,218,255,221,255,221,255,193,255,158,255,
118,255,60,255,9,255,217,254,127,254,1,254,162,253,135,253,164,253,193,253,160,253,67,253,220,252,130,252,65,252,40,252,
39,252,45,252,97,252,213,252,66,253,95,253,48,253,229,252,139,252,20,252,156,251,99,251,109,251,146,251,208,251,38,252,
88,252,78,252,47,252,241,251,113,251,215,250,99,250,33,250,31,250,100,250,185,250,242,250,46,251,119,251,133,251,43,251,
164,250,65,250,16,250,7,250,40,250,85,250,97,250,96,250,115,250,108,250,54,250,8,250,225,249,148,249,71,249,36,249,
8,249,229,248,216,248,219,248,231,248,248,248,216,248,126,248,73,248,88,248,95,248,82,248,92,248,107,248,112,248,107,248,
64,248,238,247,162,247,82,247,250,246,228,246,43,247,108,247,87,247,255,246,159,246,106,246,92,246,73,246,58,246,77,246,
89,246,65,246,65,246,117,246,172,246,193,246,171,246,113,246,78,246,106,246,145,246,151,246,154,246,184,246,247,246,83,247,
171,247,192,247,128,247,14,247,164,246,130,246,196,246,47,247,100,247,97,247,140,247,11,248,125,248,154,248,135,248,98,248,
50,248,60,248,166,248,41,249,144,249,238,249,63,250,125,250,202,250,21,251,29,251,243,250,214,250,214,250,247,250,84,251,
215,251,70,252,137,252,182,252,227,252,9,253,26,253,35,253,59,253,118,253,247,253,179,254,80,255,158,255,215,255,22,0,
72,0,137,0,220,0,254,0,11,1,110,1,9,2,107,2,141,2,161,2,198,2,22,3,134,3,216,3,241,3,231,3,
221,3,11,4,126,4,240,4,60,5,124,5,172,5,220,5,86,6,249,6,82,7,113,7,171,7,246,7,62,8,159,8,
227,8,183,8,87,8,60,8,135,8,30,9,215,9,80,10,71,10,0,10,238,9,9,10,252,9,202,9,183,9,203,9,
247,9,97,10,14,11,167,11,221,11,178,11,88,11,36,11,74,11,148,11,166,11,121,11,75,11,79,11,136,11,201,11,
225,11,191,11,102,11,243,10,161,10,114,10,44,10,210,9,165,9,183,9,240,9,50,10,64,10,3,10,188,9,132,9,
39,9,167,8,67,8,20,8,25,8,61,8,77,8,45,8,231,7,119,7,226,6,81,6,222,5,116,5,251,4,103,4,
229,3,199,3,232,3,194,3,76,3,214,2,93,2,213,1,116,1,45,1,181,0,45,0,239,255,244,255,241,255,171,255,
9,255,35,254,54,253,111,252,218,251,94,251,213,250,61,250,169,249,33,249,200,248,177,248,128,248,214,247,226,246,227,245,
238,244,89,244,115,244,224,244,49,245,130,245,210,245,183,245,40,245,120,244,176,243,213,242,93,242,134,242,216,242,249,242,
27,243,45,243,180,242,190,241,230,240,116,240,88,240,131,240,132,240,235,239,69,239,129,239,120,240,107,241,36,242,142,242,
105,242,245,241,214,241,30,242,82,242,73,242,109,242,39,243,85,244,95,245,180,245,40,245,13,244,37,243,234,242,36,243,
137,243,32,244,185,244,9,245,74,245,178,245,238,245,225,245,241,245,58,246,146,246,18,247,195,247,100,248,244,248,188,249,
170,250,84,251,147,251,174,251,215,251,234,251,202,251,166,251,162,251,191,251,42,252,2,253,230,253,104,254,115,254,6,254,
96,253,44,253,186,253,154,254,107,255,52,0,232,0,152,1,156,2,198,3,83,4,14,4,171,3,211,3,146,4,169,5,
182,6,47,7,228,6,117,6,169,6,105,7,251,7,248,7,137,7,29,7,64,7,16,8,253,8,144,9,4,10,173,10,
107,11,8,12,122,12,184,12,199,12,234,12,111,13,79,14,50,15,213,15,47,16,63,16,18,16,229,15,204,15,153,15,
100,15,106,15,129,15,118,15,118,15,146,15,139,15,97,15,71,15,68,15,101,15,167,15,193,15,162,15,176,15,24,16,
138,16,179,16,131,16,32,16,196,15,122,15,49,15,0,15,220,14,123,14,243,13,157,13,83,13,186,12,246,11,68,11,
163,10,52,10,31,10,34,10,240,9,180,9,175,9,198,9,194,9,164,9,116,9,41,9,226,8,217,8,235,8,178,8,
46,8,182,7,99,7,47,7,24,7,199,6,232,5,228,4,83,4,14,4,187,3,113,3,67,3,5,3,193,2,162,2,
144,2,92,2,12,2,192,1,137,1,129,1,184,1,255,1,7,2,189,1,72,1,193,0,62,0,238,255,193,255,95,255,
176,254,247,253,100,253,15,253,252,252,225,252,115,252,223,251,121,251,62,251,6,251,191,250,98,250,1,250,222,249,32,250,
163,250,9,251,2,251,162,250,40,250,173,249,71,249,28,249,8,249,223,248,206,248,216,248,156,248,24,248,174,247,104,247,
27,247,220,246,171,246,110,246,94,246,173,246,31,247,107,247,141,247,154,247,182,247,2,248,87,248,117,248,97,248,69,248,
70,248,120,248,207,248,31,249,66,249,37,249,207,248,109,248,37,248,0,248,19,248,96,248,160,248,158,248,127,248,130,248,
182,248,251,248,24,249,7,249,26,249,155,249,112,250,60,251,169,251,173,251,134,251,107,251,104,251,124,251,140,251,115,251,
85,251,126,251,231,251,59,252,76,252,42,252,10,252,19,252,41,252,37,252,30,252,61,252,142,252,37,253,248,253,182,254,
50,255,139,255,194,255,197,255,201,255,6,0,93,0,168,0,6,1,142,1,10,2,61,2,72,2,90,2,82,2,26,2,
251,1,36,2,112,2,218,2,87,3,159,3,192,3,36,4,185,4,22,5,76,5,137,5,175,5,225,5,102,6,5,7,
103,7,172,7,240,7,20,8,27,8,25,8,253,7,209,7,187,7,191,7,208,7,242,7,30,8,80,8,141,8,195,8,
195,8,130,8,53,8,36,8,96,8,181,8,252,8,54,9,89,9,98,9,114,9,138,9,130,9,89,9,49,9,10,9,
228,8,208,8,185,8,125,8,45,8,225,7,152,7,84,7,37,7,23,7,27,7,6,7,189,6,110,6,94,6,145,6,
202,6,198,6,116,6,27,6,254,5,1,6,225,5,150,5,75,5,45,5,54,5,35,5,210,4,100,4,238,3,107,3,
3,3,207,2,160,2,90,2,31,2,243,1,185,1,117,1,55,1,5,1,242,0,2,1,30,1,49,1,32,1,225,0,
147,0,75,0,251,255,175,255,129,255,89,255,46,255,23,255,11,255,235,254,160,254,252,253,13,253,81,252,8,252,232,251,
207,251,236,251,39,252,60,252,37,252,226,251,120,251,24,251,213,250,110,250,210,249,83,249,59,249,120,249,176,249,165,249,
111,249,62,249,8,249,173,248,25,248,61,247,67,246,149,245,114,245,196,245,81,246,201,246,208,246,99,246,207,245,67,245,
189,244,85,244,58,244,120,244,234,244,97,245,179,245,182,245,92,245,201,244,48,244,164,243,66,243,33,243,20,243,248,242,
250,242,51,243,106,243,124,243,113,243,65,243,245,242,181,242,132,242,74,242,33,242,53,242,139,242,255,242,107,243,186,243,
213,243,153,243,25,243,175,242,147,242,172,242,226,242,40,243,88,243,116,243,150,243,162,243,131,243,99,243,71,243,23,243,
10,243,76,243,170,243,249,243,70,244,137,244,196,244,26,245,115,245,162,245,192,245,246,245,45,246,93,246,154,246,227,246,
45,247,108,247,152,247,198,247,29,248,149,248,5,249,86,249,143,249,210,249,51,250,154,250,232,250,50,251,140,251,251,251,
142,252,62,253,209,253,56,254,160,254,37,255,188,255,81,0,195,0,252,0,25,1,71,1,156,1,26,2,167,2,19,3,
100,3,200,3,80,4,231,4,117,5,220,5,22,6,75,6,171,6,53,7,204,7,100,8,241,8,96,9,195,9,69,10,
207,10,29,11,71,11,149,11,240,11,44,12,109,12,183,12,219,12,235,12,22,13,70,13,128,13,241,13,100,14,136,14,
134,14,164,14,215,14,9,15,42,15,43,15,62,15,150,15,2,16,64,16,101,16,135,16,155,16,158,16,129,16,51,16,
210,15,129,15,56,15,243,14,181,14,116,14,68,14,76,14,97,14,48,14,188,13,65,13,230,12,175,12,118,12,25,12,
169,11,81,11,23,11,249,10,238,10,212,10,144,10,42,10,176,9,39,9,156,8,31,8,179,7,64,7,168,6,253,5,
110,5,232,4,77,4,202,3,122,3,34,3,168,2,59,2,225,1,124,1,42,1,249,0,164,0,16,0,152,255,113,255,
89,255,8,255,113,254,138,253,100,252,113,251,15,251,253,250,206,250,103,250,204,249,8,249,105,248,20,248,165,247,186,246,
134,245,122,244,210,243,152,243,185,243,1,244,34,244,227,243,95,243,228,242,118,242,225,241,51,241,154,240,51,240,57,240,
183,240,46,241,65,241,14,241,135,240,143,239,170,238,70,238,20,238,216,237,169,237,98,237,31,237,151,237,218,238,232,239,
49,240,0,240,132,239,214,238,122,238,204,238,128,239,71,240,30,241,231,241,116,242,212,242,12,243,223,242,81,242,227,241,
235,241,58,242,171,242,69,243,198,243,223,243,190,243,200,243,22,244,160,244,80,245,220,245,27,246,92,246,237,246,165,247,
58,248,175,248,40,249,158,249,238,249,28,250,80,250,151,250,223,250,29,251,94,251,183,251,42,252,126,252,97,252,213,251,
76,251,44,251,130,251,45,252,3,253,218,253,145,254,40,255,165,255,246,255,28,0,85,0,199,0,71,1,212,1,175,2,
187,3,149,4,56,5,185,5,213,5,143,5,108,5,151,5,223,5,61,6,142,6,151,6,176,6,87,7,76,8,12,9,
144,9,226,9,251,9,34,10,149,10,65,11,24,12,253,12,161,13,25,14,213,14,176,15,20,16,229,15,131,15,82,15,
159,15,97,16,27,17,119,17,149,17,124,17,14,17,130,16,63,16,66,16,72,16,79,16,139,16,17,17,193,17,84,18,
140,18,124,18,117,18,135,18,123,18,83,18,61,18,41,18,244,17,209,17,242,17,43,18,37,18,183,17,231,16,244,15,
73,15,10,15,225,14,128,14,18,14,235,13,251,13,238,13,171,13,54,13,129,12,202,11,157,11,18,12,166,12,247,12,
245,12,159,12,15,12,130,11,243,10,43,10,61,9,140,8,75,8,64,8,23,8,199,7,106,7,236,6,51,6,105,5,
188,4,40,4,164,3,42,3,200,2,201,2,66,3,180,3,191,3,160,3,124,3,31,3,131,2,196,1,230,0,54,0,
251,255,218,255,123,255,29,255,215,254,93,254,208,253,117,253,7,253,82,252,169,251,57,251,229,250,192,250,178,250,74,250,
156,249,81,249,140,249,213,249,245,249,255,249,229,249,158,249,79,249,4,249,165,248,43,248,146,247,228,246,96,246,35,246,
231,245,137,245,81,245,100,245,124,245,109,245,74,245,12,245,169,244,75,244,21,244,5,244,33,244,108,244,184,244,225,244,
13,245,116,245,229,245,239,245,137,245,43,245,35,245,78,245,114,245,108,245,63,245,51,245,138,245,250,245,48,246,88,246,
133,246,104,246,18,246,11,246,116,246,250,246,132,247,35,248,185,248,45,249,148,249,240,249,41,250,64,250,91,250,134,250,
177,250,234,250,78,251,162,251,160,251,131,251,159,251,200,251,219,251,25,252,136,252,233,252,83,253,211,253,26,254,71,254,
205,254,89,255,86,255,46,255,148,255,72,0,194,0,20,1,116,1,225,1,100,2,230,2,26,3,249,2,219,2,224,2,
232,2,4,3,95,3,228,3,91,4,179,4,248,4,58,5,128,5,196,5,5,6,95,6,242,6,172,7,79,8,190,8,
39,9,177,9,43,10,77,10,59,10,74,10,124,10,195,10,68,11,234,11,91,12,123,12,123,12,125,12,164,12,240,12,
244,12,126,12,40,12,129,12,67,13,252,13,149,14,0,15,31,15,17,15,13,15,33,15,63,15,63,15,3,15,172,14,
134,14,198,14,73,15,147,15,78,15,209,14,147,14,101,14,241,13,102,13,255,12,157,12,74,12,78,12,170,12,9,13,
27,13,188,12,13,12,101,11,249,10,166,10,70,10,239,9,203,9,218,9,218,9,148,9,11,9,81,8,120,7,176,6,
32,6,180,5,80,5,248,4,151,4,36,4,209,3,153,3,20,3,48,2,114,1,33,1,248,0,195,0,146,0,119,0,
150,0,249,0,35,1,146,0,134,255,142,254,193,253,14,253,172,252,165,252,185,252,212,252,12,253,72,253,94,253,40,253,
98,252,1,251,154,249,228,248,248,248,94,249,167,249,178,249,129,249,33,249,191,248,118,248,9,248,65,247,130,246,70,246,
110,246,163,246,208,246,223,246,182,246,106,246,191,245,74,244,124,242,112,241,122,241,236,241,46,242,26,242,230,241,14,242,
188,242,86,243,65,243,125,242,80,241,2,240,11,239,208,238,70,239,15,240,186,240,243,240,198,240,154,240,186,240,255,240,
226,240,1,240,190,238,0,238,52,238,243,238,155,239,196,239,90,239,190,238,138,238,230,238,108,239,190,239,196,239,137,239,
59,239,35,239,92,239,199,239,44,240,77,240,20,240,198,239,193,239,6,240,80,240,117,240,125,240,134,240,166,240,207,240,
207,240,162,240,125,240,126,240,144,240,176,240,2,241,140,241,15,242,83,242,123,242,199,242,49,243,136,243,190,243,214,243,
219,243,247,243,50,244,91,244,122,244,203,244,50,245,103,245,147,245,246,245,116,246,229,246,82,247,183,247,0,248,55,248,
115,248,196,248,50,249,157,249,249,249,136,250,113,251,124,252,109,253,39,254,132,254,162,254,238,254,110,255,201,255,12,0,
130,0,28,1,179,1,95,2,27,3,193,3,82,4,208,4,34,5,107,5,238,5,147,6,31,7,165,7,68,8,243,8,
156,9,45,10,159,10,20,11,168,11,52,12,162,12,17,13,137,13,241,13,83,14,185,14,5,15,51,15,103,15,152,15,
176,15,213,15,44,16,153,16,252,16,70,17,99,17,102,17,132,17,208,17,50,18,145,18,190,18,150,18,99,18,139,18,
235,18,21,19,247,18,190,18,116,18,43,18,22,18,52,18,59,18,5,18,182,17,111,17,41,17,237,16,196,16,122,16,
245,15,112,15,18,15,177,14,75,14,7,14,202,13,113,13,29,13,210,12,101,12,252,11,176,11,21,11,248,9,224,8,
39,8,130,7,210,6,86,6,15,6,202,5,130,5,46,5,145,4,153,3,123,2,104,1,116,0,165,255,1,255,126,254,
14,254,200,253,195,253,182,253,37,253,31,252,28,251,61,250,101,249,195,248,113,248,55,248,17,248,13,248,190,247,224,246,
236,245,38,245,50,244,60,243,243,242,58,243,115,243,150,243,181,243,111,243,200,242,59,242,195,241,13,241,80,240,208,239,
115,239,89,239,189,239,65,240,102,240,89,240,92,240,61,240,227,239,118,239,247,238,126,238,134,238,73,239,56,240,176,240,
175,240,118,240,36,240,219,239,178,239,120,239,19,239,254,238,179,239,205,240,141,241,197,241,155,241,27,241,133,240,82,240,
144,240,249,240,138,241,99,242,82,243,255,243,91,244,132,244,126,244,81,244,52,244,96,244,200,244,60,245,174,245,31,246,
130,246,249,246,170,247,68,248,79,248,226,247,115,247,64,247,117,247,50,248,51,249,26,250,253,250,1,252,228,252,99,253,
125,253,60,253,216,252,222,252,139,253,152,254,214,255,51,1,82,2,222,2,239,2,199,2,152,2,150,2,195,2,255,2,
110,3,57,4,30,5,212,5,115,6,21,7,162,7,23,8,112,8,164,8,233,8,122,9,47,10,239,10,225,11,221,12,
143,13,22,14,154,14,200,14,134,14,69,14,59,14,95,14,241,14,253,15,242,16,119,17,192,17,197,17,88,17,214,16,
190,16,249,16,77,17,226,17,197,18,163,19,71,20,180,20,202,20,126,20,41,20,30,20,59,20,85,20,142,20,227,20,
14,21,6,21,255,20,229,20,137,20,8,20,132,19,233,18,83,18,13,18,32,18,94,18,195,18,50,19,81,19,249,18,
99,18,197,17,38,17,164,16,110,16,124,16,156,16,187,16,216,16,193,16,47,16,51,15,31,14,23,13,47,12,177,11,
163,11,128,11,16,11,185,10,152,10,76,10,187,9,30,9,111,8,173,7,17,7,158,6,63,6,31,6,60,6,53,6,
246,5,191,5,114,5,201,4,233,3,240,2,203,1,203,0,82,0,34,0,221,255,156,255,99,255,244,254,89,254,198,253,
42,253,122,252,231,251,139,251,95,251,85,251,48,251,181,250,33,250,213,249,199,249,189,249,161,249,95,249,233,248,98,248,
228,247,101,247,232,246,114,246,229,245,72,245,202,244,103,244,3,244,199,243,211,243,241,243,251,243,26,244,70,244,43,244,
198,243,97,243,9,243,161,242,87,242,102,242,152,242,171,242,205,242,33,243,71,243,240,242,93,242,241,241,192,241,179,241,
171,241,130,241,68,241,46,241,80,241,135,241,187,241,226,241,239,241,247,241,34,242,111,242,210,242,72,243,184,243,5,244,
54,244,87,244,98,244,99,244,109,244,123,244,146,244,201,244,29,245,122,245,209,245,0,246,255,245,3,246,37,246,61,246,
94,246,200,246,109,247,16,248,161,248,5,249,56,249,153,249,88,250,253,250,44,251,43,251,65,251,123,251,6,252,206,252,
99,253,176,253,12,254,105,254,130,254,133,254,157,254,155,254,149,254,229,254,139,255,79,0,39,1,228,1,69,2,119,2,
206,2,33,3,55,3,77,3,179,3,92,4,22,5,198,5,81,6,181,6,4,7,66,7,108,7,149,7,205,7,2,8,
32,8,70,8,159,8,43,9,197,9,92,10,226,10,50,11,53,11,32,11,39,11,84,11,173,11,67,12,255,12,192,13,
118,14,252,14,20,15,187,14,51,14,189,13,133,13,164,13,12,14,140,14,4,15,110,15,190,15,220,15,180,15,80,15,
201,14,76,14,19,14,52,14,128,14,193,14,3,15,68,15,85,15,62,15,53,15,9,15,122,14,221,13,134,13,54,13,
222,12,230,12,43,13,9,13,130,12,2,12,120,11,185,10,13,10,140,9,246,8,110,8,69,8,74,8,49,8,22,8,
247,7,137,7,199,6,15,6,152,5,72,5,241,4,130,4,24,4,211,3,169,3,111,3,10,3,133,2,14,2,184,1,
86,1,192,0,18,0,109,255,231,254,174,254,184,254,144,254,3,254,119,253,26,253,174,252,45,252,188,251,31,251,73,250,
180,249,162,249,195,249,227,249,227,249,85,249,24,248,213,246,19,246,149,245,0,245,86,244,185,243,122,243,12,244,68,245,
32,246,229,245,224,244,151,243,53,242,6,241,127,240,135,240,175,240,5,241,176,241,84,242,177,242,2,243,17,243,50,242,
146,240,50,239,126,238,42,238,18,238,59,238,132,238,245,238,163,239,42,240,9,240,64,239,23,238,227,236,51,236,114,236,
73,237,2,238,85,238,104,238,120,238,180,238,14,239,17,239,87,238,62,237,180,236,39,237,29,238,223,238,32,239,217,238,
62,238,224,237,12,238,81,238,43,238,197,237,139,237,169,237,50,238,17,239,216,239,59,240,81,240,41,240,211,239,181,239,
20,240,162,240,252,240,33,241,44,241,84,241,227,241,177,242,44,243,48,243,40,243,78,243,135,243,195,243,6,244,72,244,
141,244,220,244,34,245,103,245,215,245,125,246,67,247,18,248,213,248,111,249,206,249,249,249,18,250,58,250,109,250,163,250,
0,251,162,251,111,252,47,253,192,253,19,254,73,254,141,254,219,254,15,255,57,255,122,255,213,255,72,0,216,0,129,1,
79,2,51,3,211,3,2,4,32,4,130,4,247,4,83,5,196,5,96,6,15,7,213,7,141,8,228,8,231,8,237,8,
251,8,251,8,57,9,231,9,183,10,94,11,239,11,116,12,201,12,3,13,96,13,223,13,63,14,116,14,188,14,58,15,
212,15,109,16,247,16,75,17,98,17,115,17,140,17,130,17,97,17,116,17,178,17,216,17,231,17,23,18,123,18,226,18,
251,18,159,18,32,18,232,17,233,17,228,17,234,17,32,18,103,18,158,18,192,18,173,18,94,18,11,18,209,17,133,17,
19,17,166,16,106,16,81,16,45,16,225,15,135,15,55,15,219,14,107,14,2,14,168,13,82,13,9,13,200,12,119,12,
35,12,226,11,156,11,68,11,255,10,206,10,139,10,59,10,236,9,132,9,9,9,170,8,105,8,30,8,191,7,79,7,
219,6,137,6,93,6,20,6,134,5,225,4,109,4,78,4,100,4,91,4,25,4,219,3,168,3,66,3,201,2,145,2,
125,2,74,2,9,2,195,1,83,1,217,0,146,0,92,0,3,0,170,255,98,255,9,255,169,254,96,254,10,254,139,253,
20,253,197,252,131,252,69,252,26,252,238,251,171,251,106,251,62,251,14,251,204,250,147,250,95,250,5,250,145,249,54,249,
224,248,108,248,34,248,67,248,114,248,68,248,239,247,206,247,208,247,183,247,101,247,225,246,110,246,105,246,204,246,61,247,
131,247,150,247,138,247,138,247,159,247,144,247,84,247,51,247,77,247,124,247,184,247,11,248,81,248,103,248,104,248,121,248,
145,248,139,248,98,248,77,248,131,248,231,248,76,249,170,249,233,249,245,249,15,250,116,250,227,250,17,251,23,251,252,250,
177,250,125,250,165,250,238,250,28,251,72,251,117,251,152,251,221,251,72,252,134,252,137,252,143,252,142,252,111,252,105,252,
164,252,236,252,31,253,74,253,127,253,224,253,115,254,241,254,45,255,86,255,137,255,178,255,234,255,83,0,189,0,1,1,
72,1,160,1,227,1,34,2,132,2,240,2,69,3,165,3,52,4,221,4,129,5,34,6,179,6,23,7,71,7,100,7,
123,7,148,7,216,7,105,8,40,9,215,9,94,10,186,10,237,10,22,11,78,11,126,11,146,11,171,11,225,11,48,12,
137,12,217,12,7,13,34,13,77,13,134,13,202,13,26,14,78,14,56,14,250,13,215,13,207,13,187,13,146,13,109,13,
95,13,103,13,112,13,108,13,82,13,19,13,202,12,175,12,173,12,114,12,4,12,173,11,113,11,66,11,52,11,44,11,
232,10,146,10,105,10,53,10,187,9,50,9,205,8,135,8,107,8,92,8,10,8,142,7,64,7,237,6,66,6,144,5,
53,5,241,4,161,4,145,4,186,4,175,4,89,4,242,3,118,3,216,2,73,2,232,1,157,1,91,1,40,1,242,0,
158,0,57,0,214,255,108,255,237,254,115,254,22,254,200,253,101,253,235,252,114,252,22,252,216,251,136,251,248,250,77,250,
215,249,148,249,64,249,227,248,197,248,236,248,8,249,216,248,94,248,187,247,22,247,125,246,227,245,62,245,188,244,159,244,
227,244,39,245,20,245,167,244,15,244,138,243,86,243,116,243,146,243,104,243,240,242,95,242,25,242,97,242,211,242,211,242,
139,242,144,242,207,242,226,242,226,242,243,242,221,242,163,242,130,242,79,242,239,241,212,241,39,242,84,242,30,242,239,241,
245,241,10,242,55,242,136,242,186,242,166,242,118,242,91,242,117,242,187,242,233,242,231,242,238,242,14,243,22,243,6,243,
19,243,63,243,105,243,128,243,126,243,138,243,222,243,78,244,109,244,48,244,237,243,221,243,14,244,98,244,141,244,132,244,
159,244,245,244,49,245,68,245,111,245,164,245,182,245,197,245,229,245,255,245,64,246,201,246,60,247,82,247,75,247,97,247,
132,247,204,247,82,248,212,248,33,249,95,249,151,249,167,249,193,249,42,250,165,250,220,250,249,250,71,251,192,251,70,252,
209,252,51,253,69,253,72,253,150,253,35,254,166,254,1,255,72,255,153,255,9,0,132,0,227,0,51,1,161,1,29,2,
115,2,165,2,219,2,36,3,127,3,234,3,87,4,196,4,71,5,208,5,39,6,62,6,69,6,108,6,199,6,65,7,
179,7,33,8,172,8,62,9,150,9,174,9,166,9,159,9,209,9,105,10,35,11,153,11,195,11,209,11,227,11,22,12,
107,12,176,12,191,12,192,12,228,12,58,13,179,13,23,14,57,14,62,14,93,14,142,14,191,14,229,14,215,14,147,14,
113,14,144,14,174,14,200,14,8,15,47,15,247,14,158,14,101,14,37,14,205,13,145,13,126,13,129,13,143,13,125,13,
45,13,204,12,129,12,38,12,169,11,46,11,202,10,135,10,118,10,109,10,20,10,115,9,230,8,140,8,59,8,241,7,
190,7,116,7,235,6,84,6,245,5,188,5,105,5,236,4,94,4,218,3,127,3,86,3,40,3,190,2,35,2,114,1,
206,0,128,0,154,0,157,0,26,0,53,255,59,254,61,253,69,252,90,251,101,250,112,249,181,248,63,248,220,247,119,247,
51,247,69,247,165,247,222,247,111,247,86,246,177,244,134,242,123,240,169,239,49,240,43,241,26,242,24,243,251,243,119,244,
120,244,186,243,7,242,2,240,169,238,50,238,46,238,58,238,60,238,111,238,40,239,45,240,205,240,187,240,57,240,135,239,
212,238,108,238,133,238,7,239,196,239,152,240,92,241,229,241,38,242,47,242,229,241,16,241,7,240,199,239,200,240,100,242,
188,243,96,244,26,244,34,243,68,242,205,241,56,241,126,240,94,240,17,241,37,242,103,243,176,244,123,245,155,245,106,245,
3,245,101,244,7,244,41,244,84,244,76,244,130,244,35,245,206,245,107,246,25,247,123,247,40,247,105,246,176,245,6,245,
158,244,243,244,223,245,176,246,95,247,79,248,56,249,166,249,209,249,237,249,197,249,179,249,109,250,188,251,224,252,194,253,
117,254,167,254,126,254,164,254,38,255,165,255,47,0,195,0,247,0,230,0,67,1,36,2,240,2,107,3,199,3,32,4,
148,4,83,5,54,6,209,6,44,7,217,7,24,9,118,10,113,11,253,11,47,12,1,12,171,11,150,11,224,11,111,12,
54,13,9,14,164,14,28,15,144,15,176,15,70,15,190,14,133,14,158,14,2,15,158,15,44,16,174,16,122,17,116,18,
24,19,84,19,121,19,141,19,106,19,47,19,12,19,2,19,25,19,101,19,195,19,240,19,233,19,224,19,205,19,125,19,
252,18,138,18,61,18,34,18,92,18,200,18,246,18,214,18,179,18,158,18,138,18,166,18,7,19,100,19,135,19,118,19,
53,19,218,18,135,18,41,18,170,17,39,17,188,16,111,16,87,16,84,16,0,16,86,15,183,14,58,14,197,13,130,13,
110,13,32,13,136,12,3,12,190,11,195,11,30,12,117,12,69,12,170,11,17,11,136,10,245,9,97,9,207,8,59,8,
196,7,108,7,12,7,149,6,252,5,46,5,87,4,191,3,103,3,64,3,66,3,47,3,200,2,58,2,198,1,101,1,
17,1,209,0,130,0,30,0,216,255,178,255,120,255,37,255,186,254,40,254,160,253,76,253,209,252,234,251,254,250,90,250,
197,249,61,249,13,249,21,249,250,248,189,248,124,248,22,248,145,247,39,247,216,246,131,246,67,246,60,246,84,246,100,246,
100,246,63,246,227,245,86,245,174,244,2,244,145,243,135,243,172,243,162,243,116,243,106,243,121,243,95,243,28,243,216,242,
157,242,105,242,89,242,132,242,214,242,55,243,163,243,8,244,59,244,43,244,0,244,227,243,196,243,154,243,132,243,150,243,
188,243,2,244,123,244,246,244,40,245,1,245,149,244,14,244,195,243,233,243,84,244,205,244,76,245,190,245,30,246,148,246,
15,247,49,247,240,246,173,246,155,246,188,246,44,247,207,247,70,248,115,248,137,248,157,248,161,248,154,248,132,248,101,248,
109,248,179,248,38,249,187,249,92,250,197,250,240,250,46,251,160,251,11,252,72,252,103,252,132,252,219,252,149,253,123,254,
41,255,128,255,174,255,232,255,54,0,124,0,179,0,2,1,116,1,242,1,139,2,81,3,252,3,77,4,119,4,186,4,
8,5,112,5,25,6,224,6,137,7,36,8,202,8,105,9,237,9,73,10,98,10,95,10,150,10,5,11,108,11,202,11,
55,12,141,12,187,12,236,12,23,13,25,13,21,13,53,13,96,13,159,13,38,14,200,14,25,15,29,15,24,15,2,15,
202,14,180,14,219,14,253,14,9,15,48,15,117,15,174,15,206,15,194,15,95,15,184,14,21,14,149,13,61,13,52,13,
132,13,225,13,16,14,32,14,31,14,230,13,98,13,187,12,28,12,157,11,93,11,118,11,206,11,43,12,100,12,77,12,
199,11,0,11,79,10,190,9,30,9,124,8,19,8,237,7,243,7,14,8,9,8,173,7,25,7,141,6,22,6,159,5,
31,5,148,4,17,4,193,3,171,3,163,3,141,3,87,3,229,2,63,2,171,1,81,1,22,1,218,0,137,0,5,0,
89,255,188,254,58,254,156,253,207,252,7,252,110,251,18,251,253,250,24,251,27,251,205,250,59,250,147,249,12,249,204,248,
171,248,50,248,45,247,233,245,201,244,16,244,237,243,40,244,31,244,166,243,62,243,84,243,226,243,189,244,87,245,231,244,
122,243,253,241,250,240,83,240,6,240,6,240,1,240,29,240,238,240,77,242,95,243,169,243,49,243,27,242,237,240,74,240,
32,240,235,239,171,239,171,239,221,239,42,240,176,240,63,241,87,241,202,240,227,239,6,239,132,238,147,238,14,239,126,239,
167,239,227,239,126,240,29,241,40,241,127,240,117,239,135,238,58,238,171,238,78,239,172,239,241,239,84,240,151,240,142,240,
78,240,205,239,23,239,155,238,164,238,244,238,99,239,11,240,187,240,19,241,36,241,60,241,86,241,76,241,41,241,235,240,
150,240,137,240,26,241,5,242,227,242,184,243,125,244,223,244,208,244,159,244,89,244,245,243,205,243,37,244,199,244,147,245,
176,246,219,247,152,248,231,248,16,249,26,249,25,249,72,249,159,249,0,250,148,250,110,251,65,252,217,252,71,253,150,253,
214,253,42,254,151,254,250,254,75,255,148,255,226,255,71,0,208,0,121,1,48,2,197,2,5,3,5,3,0,3,30,3,
135,3,78,4,23,5,135,5,222,5,104,6,228,6,34,7,72,7,64,7,252,6,250,6,145,7,93,8,12,9,155,9,
214,9,171,9,151,9,218,9,33,10,81,10,150,10,204,10,219,10,12,11,105,11,165,11,194,11,243,11,19,12,15,12,
40,12,99,12,109,12,56,12,2,12,210,11,162,11,170,11,253,11,52,12,16,12,233,11,250,11,230,11,121,11,17,11,
224,10,170,10,122,10,126,10,117,10,47,10,249,9,245,9,227,9,210,9,233,9,210,9,96,9,243,8,168,8,57,8,
205,7,168,7,127,7,35,7,241,6,253,6,224,6,143,6,65,6,225,5,100,5,25,5,13,5,250,4,216,4,208,4,
187,4,106,4,4,4,187,3,126,3,62,3,25,3,14,3,248,2,218,2,205,2,179,2,108,2,33,2,237,1,164,1,
72,1,15,1,226,0,137,0,52,0,33,0,25,0,238,255,212,255,215,255,184,255,114,255,36,255,191,254,83,254,38,254,
49,254,40,254,7,254,1,254,11,254,245,253,182,253,85,253,212,252,95,252,40,252,40,252,53,252,64,252,65,252,41,252,
15,252,11,252,246,251,171,251,94,251,59,251,29,251,254,250,14,251,50,251,54,251,81,251,163,251,208,251,183,251,173,251,
178,251,133,251,89,251,103,251,115,251,111,251,149,251,203,251,210,251,212,251,228,251,211,251,194,251,234,251,26,252,60,252,
145,252,246,252,15,253,3,253,21,253,31,253,27,253,63,253,109,253,121,253,143,253,200,253,243,253,17,254,61,254,107,254,
158,254,223,254,252,254,220,254,187,254,177,254,172,254,207,254,36,255,97,255,109,255,132,255,169,255,198,255,241,255,38,0,
60,0,87,0,160,0,219,0,226,0,237,0,18,1,40,1,50,1,92,1,169,1,255,1,67,2,89,2,81,2,99,2,
153,2,228,2,61,3,158,3,248,3,75,4,149,4,212,4,43,5,173,5,36,6,115,6,198,6,39,7,102,7,135,7,
182,7,238,7,42,8,150,8,50,9,200,9,81,10,222,10,64,11,87,11,88,11,100,11,96,11,109,11,188,11,24,12,
71,12,133,12,245,12,83,13,152,13,239,13,29,14,236,13,193,13,216,13,205,13,135,13,114,13,132,13,101,13,71,13,
104,13,112,13,43,13,229,12,172,12,77,12,238,11,191,11,153,11,110,11,100,11,94,11,32,11,189,10,84,10,236,9,
166,9,157,9,168,9,138,9,71,9,0,9,195,8,127,8,27,8,164,7,65,7,245,6,178,6,125,6,70,6,233,5,
130,5,61,5,253,4,171,4,109,4,76,4,34,4,235,3,173,3,93,3,25,3,10,3,0,3,206,2,150,2,106,2,
29,2,177,1,70,1,212,0,93,0,21,0,0,0,222,255,157,255,99,255,52,255,239,254,139,254,32,254,201,253,134,253,
60,253,226,252,139,252,64,252,251,251,191,251,146,251,100,251,38,251,223,250,143,250,38,250,158,249,19,249,156,248,43,248,
190,247,133,247,148,247,182,247,185,247,157,247,84,247,224,246,139,246,132,246,135,246,72,246,207,245,66,245,218,244,231,244,
98,245,229,245,67,246,162,246,3,247,70,247,110,247,121,247,65,247,206,246,89,246,25,246,44,246,140,246,3,247,97,247,
171,247,244,247,70,248,154,248,216,248,241,248,243,248,222,248,192,248,218,248,80,249,209,249,18,250,43,250,48,250,24,250,
12,250,41,250,64,250,73,250,132,250,231,250,52,251,124,251,194,251,174,251,55,251,201,250,134,250,72,250,70,250,180,250,
62,251,152,251,246,251,107,252,175,252,172,252,151,252,102,252,3,252,178,251,175,251,210,251,247,251,71,252,194,252,39,253,
97,253,131,253,130,253,100,253,80,253,70,253,47,253,52,253,125,253,214,253,7,254,45,254,103,254,163,254,209,254,243,254,
3,255,14,255,57,255,141,255,227,255,16,0,15,0,3,0,4,0,12,0,29,0,64,0,98,0,135,0,208,0,28,1,
24,1,213,0,171,0,168,0,182,0,234,0,33,1,33,1,30,1,93,1,174,1,237,1,62,2,124,2,96,2,33,2,
15,2,7,2,241,1,234,1,224,1,203,1,244,1,105,2,212,2,20,3,45,3,0,3,178,2,157,2,186,2,203,2,
216,2,218,2,176,2,150,2,209,2,34,3,74,3,113,3,161,3,183,3,213,3,22,4,49,4,2,4,188,3,120,3,
59,3,46,3,81,3,98,3,82,3,87,3,131,3,185,3,215,3,193,3,127,3,61,3,13,3,227,2,196,2,176,2,
134,2,74,2,42,2,52,2,62,2,29,2,192,1,56,1,175,0,61,0,230,255,178,255,154,255,111,255,23,255,181,254,
95,254,2,254,151,253,18,253,75,252,89,251,183,250,167,250,204,250,192,250,129,250,30,250,146,249,9,249,175,248,101,248,
7,248,168,247,80,247,251,246,215,246,238,246,208,246,60,246,143,245,44,245,12,245,24,245,54,245,40,245,210,244,87,244,
230,243,182,243,245,243,94,244,97,244,238,243,127,243,106,243,171,243,20,244,114,244,168,244,192,244,194,244,184,244,200,244,
238,244,236,244,187,244,167,244,230,244,118,245,31,246,129,246,104,246,23,246,218,245,187,245,201,245,17,246,84,246,102,246,
116,246,158,246,216,246,40,247,110,247,94,247,20,247,6,247,71,247,145,247,206,247,241,247,219,247,178,247,187,247,246,247,
78,248,179,248,224,248,167,248,83,248,62,248,105,248,186,248,23,249,81,249,106,249,154,249,217,249,240,249,242,249,15,250,
63,250,119,250,224,250,140,251,80,252,239,252,74,253,111,253,145,253,219,253,83,254,219,254,83,255,184,255,22,0,110,0,
194,0,55,1,207,1,83,2,184,2,39,3,154,3,236,3,54,4,155,4,0,5,98,5,223,5,95,6,188,6,16,7,
103,7,153,7,182,7,5,8,141,8,33,9,163,9,249,9,30,10,65,10,106,10,89,10,21,10,6,10,73,10,143,10,
195,10,22,11,105,11,105,11,38,11,246,10,244,10,13,11,59,11,106,11,133,11,181,11,50,12,203,12,39,13,62,13,
52,13,31,13,28,13,64,13,107,13,130,13,163,13,219,13,38,14,155,14,39,15,113,15,98,15,66,15,49,15,30,15,
47,15,134,15,237,15,43,16,82,16,129,16,185,16,242,16,22,17,255,16,194,16,174,16,237,16,74,17,109,17,69,17,
11,17,225,16,179,16,117,16,43,16,214,15,133,15,74,15,14,15,200,14,152,14,105,14,254,13,126,13,42,13,213,12,
76,12,190,11,69,11,198,10,108,10,91,10,64,10,227,9,120,9,15,9,133,8,241,7,111,7,223,6,84,6,0,6,
199,5,121,5,43,5,215,4,91,4,214,3,112,3,10,3,151,2,65,2,251,1,155,1,71,1,46,1,54,1,60,1,
51,1,13,1,201,0,126,0,51,0,233,255,163,255,87,255,248,254,168,254,128,254,85,254,2,254,159,253,65,253,228,252,
146,252,93,252,59,252,13,252,201,251,122,251,32,251,180,250,73,250,243,249,170,249,103,249,69,249,57,249,10,249,176,248,
92,248,20,248,182,247,80,247,245,246,146,246,49,246,241,245,189,245,118,245,56,245,28,245,250,244,179,244,91,244,13,244,
211,243,178,243,153,243,129,243,132,243,183,243,253,243,43,244,53,244,33,244,248,243,215,243,227,243,21,244,60,244,74,244,
92,244,113,244,107,244,102,244,145,244,198,244,217,244,241,244,46,245,119,245,201,245,57,246,153,246,191,246,212,246,255,246,
47,247,104,247,190,247,23,248,97,248,164,248,217,248,253,248,57,249,142,249,196,249,205,249,206,249,202,249,197,249,229,249,
47,250,123,250,189,250,0,251,46,251,67,251,94,251,134,251,168,251,209,251,24,252,113,252,197,252,25,253,112,253,173,253,
205,253,240,253,30,254,57,254,64,254,79,254,100,254,130,254,200,254,34,255,91,255,139,255,239,255,89,0,141,0,178,0,
227,0,251,0,25,1,135,1,31,2,160,2,42,3,194,3,38,4,87,4,136,4,177,4,204,4,6,5,99,5,199,5,
74,6,236,6,104,7,159,7,194,7,238,7,25,8,72,8,126,8,181,8,251,8,102,9,1,10,187,10,105,11,232,11,
63,12,104,12,77,12,31,12,34,12,59,12,70,12,131,12,8,13,128,13,211,13,40,14,64,14,229,13,119,13,73,13,
45,13,9,13,11,13,43,13,72,13,112,13,150,13,135,13,80,13,37,13,8,13,238,12,220,12,195,12,158,12,133,12,
115,12,59,12,222,11,133,11,57,11,232,10,134,10,11,10,143,9,68,9,61,9,86,9,88,9,18,9,137,8,10,8,
191,7,121,7,28,7,217,6,195,6,184,6,197,6,249,6,255,6,151,6,15,6,158,5,17,5,112,4,16,4,225,3,
139,3,38,3,238,2,194,2,131,2,65,2,218,1,50,1,151,0,61,0,220,255,103,255,39,255,17,255,240,254,227,254,
225,254,132,254,207,253,41,253,160,252,21,252,181,251,128,251,35,251,167,250,92,250,57,250,0,250,148,249,232,248,24,248,
128,247,67,247,35,247,255,246,208,246,119,246,16,246,3,246,80,246,107,246,227,245,207,244,196,243,113,243,231,243,119,244,
127,244,252,243,71,243,211,242,225,242,51,243,82,243,21,243,146,242,251,241,194,241,30,242,154,242,183,242,144,242,86,242,
20,242,3,242,58,242,98,242,80,242,60,242,47,242,45,242,119,242,232,242,234,242,128,242,50,242,23,242,9,242,29,242,
37,242,194,241,59,241,14,241,10,241,226,240,216,240,20,241,68,241,101,241,170,241,217,241,181,241,137,241,134,241,98,241,
14,241,215,240,187,240,138,240,119,240,193,240,49,241,124,241,169,241,186,241,147,241,85,241,61,241,60,241,52,241,61,241,
101,241,151,241,212,241,35,242,99,242,138,242,197,242,18,243,49,243,28,243,32,243,111,243,233,243,90,244,156,244,154,244,
120,244,130,244,208,244,27,245,47,245,61,245,117,245,188,245,11,246,134,246,11,247,85,247,121,247,164,247,190,247,207,247,
39,248,187,248,39,249,102,249,188,249,45,250,165,250,28,251,105,251,110,251,100,251,113,251,134,251,187,251,56,252,212,252,
102,253,3,254,160,254,6,255,73,255,161,255,0,0,63,0,106,0,165,0,31,1,229,1,197,2,137,3,50,4,194,4,
30,5,80,5,134,5,195,5,245,5,38,6,94,6,172,6,53,7,248,7,169,8,11,9,48,9,82,9,158,9,12,10,
96,10,134,10,185,10,45,11,197,11,82,12,185,12,233,12,229,12,209,12,204,12,221,12,253,12,39,13,85,13,127,13,
160,13,190,13,213,13,204,13,150,13,83,13,34,13,10,13,23,13,70,13,113,13,129,13,154,13,208,13,8,14,34,14,
15,14,210,13,154,13,140,13,127,13,90,13,70,13,79,13,74,13,56,13,44,13,9,13,204,12,173,12,170,12,146,12,
112,12,93,12,55,12,251,11,238,11,23,12,51,12,35,12,0,12,213,11,170,11,158,11,174,11,167,11,111,11,43,11,
255,10,220,10,165,10,86,10,255,9,170,9,102,9,52,9,251,8,178,8,110,8,39,8,198,7,104,7,50,7,6,7,
194,6,120,6,48,6,218,5,141,5,96,5,35,5,179,4,67,4,245,3,166,3,71,3,231,2,123,2,252,1,149,1,
86,1,27,1,214,0,156,0,88,0,227,255,100,255,28,255,246,254,199,254,164,254,165,254,169,254,154,254,134,254,89,254,
7,254,199,253,189,253,189,253,164,253,131,253,97,253,70,253,77,253,96,253,76,253,40,253,38,253,45,253,31,253,21,253,
21,253,10,253,4,253,16,253,22,253,26,253,60,253,119,253,171,253,195,253,176,253,129,253,118,253,157,253,185,253,171,253,
140,253,115,253,110,253,126,253,128,253,107,253,104,253,118,253,104,253,80,253,87,253,99,253,97,253,104,253,117,253,127,253,
169,253,237,253,10,254,0,254,1,254,250,253,216,253,206,253,247,253,40,254,87,254,141,254,166,254,146,254,125,254,122,254,
118,254,121,254,146,254,187,254,248,254,88,255,195,255,17,0,56,0,74,0,105,0,167,0,242,0,42,1,78,1,118,1,
179,1,12,2,115,2,209,2,26,3,69,3,86,3,119,3,195,3,17,4,68,4,121,4,188,4,231,4,15,5,110,5,
226,5,38,6,75,6,134,6,202,6,15,7,111,7,209,7,244,7,221,7,209,7,237,7,27,8,67,8,83,8,77,8,
95,8,169,8,255,8,39,9,20,9,208,8,120,8,85,8,134,8,197,8,222,8,241,8,8,9,248,8,207,8,184,8,
144,8,62,8,250,7,229,7,213,7,193,7,185,7,174,7,153,7,147,7,122,7,40,7,194,6,109,6,4,6,142,5,
72,5,50,5,28,5,10,5,12,5,9,5,243,4,203,4,125,4,12,4,166,3,96,3,36,3,244,2,228,2,228,2,
192,2,97,2,236,1,150,1,114,1,114,1,118,1,86,1,14,1,201,0,152,0,93,0,27,0,243,255,198,255,116,255,
48,255,7,255,188,254,109,254,114,254,158,254,141,254,85,254,23,254,182,253,80,253,19,253,174,252,236,251,76,251,42,251,
67,251,89,251,102,251,67,251,234,250,148,250,70,250,221,249,122,249,70,249,26,249,216,248,160,248,117,248,60,248,5,248,
233,247,216,247,182,247,125,247,45,247,212,246,133,246,69,246,16,246,231,245,205,245,204,245,224,245,233,245,197,245,129,245,
59,245,9,245,250,244,7,245,19,245,23,245,44,245,87,245,125,245,146,245,146,245,127,245,114,245,134,245,171,245,190,245,
190,245,205,245,2,246,73,246,130,246,190,246,29,247,132,247,178,247,164,247,140,247,132,247,149,247,211,247,58,248,171,248,
32,249,166,249,19,250,39,250,234,249,148,249,67,249,29,249,94,249,247,249,120,250,175,250,211,250,252,250,28,251,72,251,
123,251,112,251,49,251,34,251,87,251,160,251,0,252,116,252,193,252,249,252,90,253,168,253,136,253,55,253,11,253,248,252,
13,253,128,253,34,254,170,254,33,255,125,255,143,255,118,255,119,255,140,255,168,255,237,255,91,0,207,0,71,1,198,1,
47,2,100,2,104,2,102,2,163,2,19,3,100,3,142,3,211,3,48,4,112,4,163,4,199,4,183,4,157,4,195,4,
2,5,41,5,103,5,194,5,251,5,43,6,133,6,207,6,196,6,151,6,124,6,100,6,88,6,124,6,181,6,216,6,
234,6,242,6,231,6,195,6,144,6,78,6,15,6,248,5,27,6,76,6,81,6,44,6,4,6,218,5,159,5,103,5,
64,5,21,5,252,4,31,5,85,5,93,5,87,5,104,5,95,5,15,5,156,4,41,4,192,3,133,3,129,3,132,3,
117,3,123,3,154,3,156,3,109,3,34,3,188,2,66,2,230,1,190,1,159,1,134,1,156,1,181,1,110,1,213,0,
64,0,174,255,254,254,78,254,165,253,233,252,73,252,10,252,5,252,249,251,233,251,184,251,47,251,108,250,165,249,215,248,
24,248,148,247,21,247,118,246,15,246,12,246,21,246,15,246,41,246,58,246,243,245,95,245,140,244,121,243,134,242,18,242,
224,241,143,241,63,241,30,241,29,241,63,241,138,241,181,241,126,241,24,241,218,240,201,240,191,240,179,240,189,240,247,240,
124,241,74,242,34,243,181,243,229,243,175,243,32,243,149,242,146,242,20,243,172,243,40,244,147,244,231,244,60,245,176,245,
233,245,132,245,223,244,150,244,178,244,26,245,233,245,225,246,130,247,227,247,115,248,24,249,93,249,39,249,156,248,216,247,
33,247,237,246,99,247,50,248,254,248,150,249,218,249,209,249,175,249,113,249,218,248,6,248,123,247,110,247,198,247,139,248,
160,249,133,250,7,251,102,251,153,251,113,251,76,251,130,251,186,251,198,251,255,251,123,252,255,252,155,253,72,254,171,254,
208,254,32,255,128,255,174,255,235,255,95,0,191,0,12,1,146,1,70,2,250,2,195,3,140,4,20,5,114,5,232,5,
109,6,248,6,169,7,97,8,204,8,232,8,10,9,80,9,133,9,126,9,100,9,132,9,235,9,105,10,206,10,4,11,
5,11,232,10,209,10,217,10,24,11,147,11,12,12,69,12,77,12,76,12,84,12,129,12,219,12,37,13,64,13,92,13,
118,13,76,13,244,12,189,12,151,12,82,12,38,12,85,12,172,12,239,12,33,13,53,13,27,13,23,13,110,13,227,13,
36,14,82,14,152,14,211,14,251,14,75,15,194,15,50,16,162,16,14,17,58,17,53,17,66,17,70,17,12,17,209,16,
195,16,187,16,196,16,15,17,87,17,73,17,22,17,251,16,241,16,6,17,66,17,94,17,71,17,61,17,58,17,1,17,
178,16,127,16,74,16,9,16,220,15,183,15,126,15,53,15,197,14,35,14,124,13,225,12,52,12,139,11,2,11,118,10,
233,9,138,9,52,9,193,8,122,8,123,8,83,8,212,7,78,7,220,6,95,6,227,5,120,5,6,5,161,4,111,4,
75,4,254,3,128,3,221,2,47,2,152,1,26,1,162,0,62,0,0,0,206,255,141,255,62,255,243,254,186,254,147,254,
101,254,54,254,31,254,26,254,18,254,7,254,228,253,139,253,36,253,230,252,180,252,94,252,242,251,140,251,32,251,182,250,
103,250,41,250,237,249,176,249,92,249,230,248,111,248,23,248,202,247,108,247,14,247,218,246,216,246,231,246,219,246,155,246,
59,246,241,245,201,245,142,245,32,245,191,244,152,244,115,244,28,244,171,243,69,243,250,242,223,242,229,242,217,242,178,242,
132,242,73,242,10,242,244,241,2,242,22,242,69,242,144,242,199,242,244,242,55,243,100,243,90,243,81,243,82,243,50,243,
30,243,74,243,119,243,127,243,168,243,245,243,37,244,79,244,144,244,169,244,137,244,133,244,187,244,251,244,65,245,163,245,
18,246,134,246,255,246,104,247,187,247,5,248,48,248,46,248,62,248,148,248,2,249,73,249,125,249,198,249,2,250,7,250,
245,249,254,249,30,250,85,250,180,250,30,251,98,251,159,251,244,251,42,252,44,252,77,252,165,252,229,252,6,253,65,253,
149,253,235,253,66,254,126,254,140,254,165,254,221,254,253,254,2,255,26,255,55,255,77,255,123,255,172,255,178,255,198,255,
41,0,145,0,185,0,216,0,34,1,130,1,239,1,111,2,220,2,20,3,54,3,105,3,158,3,183,3,208,3,29,4,
158,4,53,5,211,5,95,6,165,6,167,6,149,6,123,6,104,6,152,6,19,7,147,7,22,8,194,8,114,9,2,10,
137,10,213,10,161,10,91,10,138,10,231,10,15,11,64,11,155,11,219,11,2,12,76,12,148,12,164,12,136,12,60,12,
184,11,77,11,61,11,102,11,157,11,214,11,234,11,208,11,194,11,200,11,140,11,0,11,147,10,134,10,175,10,224,10,
10,11,16,11,217,10,126,10,25,10,145,9,229,8,94,8,48,8,55,8,55,8,29,8,236,7,185,7,136,7,56,7,
196,6,87,6,6,6,191,5,149,5,149,5,154,5,162,5,199,5,213,5,150,5,71,5,13,5,155,4,236,3,116,3,
83,3,81,3,105,3,152,3,151,3,73,3,215,2,69,2,146,1,246,0,159,0,128,0,131,0,150,0,164,0,169,0,
157,0,97,0,247,255,131,255,12,255,148,254,55,254,2,254,223,253,202,253,196,253,187,253,150,253,55,253,158,252,24,252,
212,251,124,251,218,250,92,250,90,250,149,250,213,250,15,251,0,251,135,250,8,250,202,249,149,249,75,249,28,249,14,249,
254,248,252,248,34,249,80,249,84,249,36,249,218,248,138,248,56,248,244,247,196,247,145,247,86,247,67,247,108,247,166,247,
207,247,239,247,252,247,252,247,30,248,92,248,119,248,118,248,127,248,96,248,2,248,191,247,184,247,143,247,46,247,250,246,
34,247,115,247,212,247,53,248,66,248,205,247,43,247,185,246,96,246,246,245,163,245,128,245,117,245,159,245,54,246,247,246,
120,247,187,247,196,247,104,247,225,246,159,246,125,246,45,246,243,245,255,245,27,246,104,246,37,247,200,247,179,247,57,247,
200,246,67,246,213,245,243,245,90,246,139,246,188,246,64,247,198,247,249,247,2,248,254,247,213,247,163,247,177,247,20,248,
145,248,229,248,0,249,9,249,30,249,59,249,71,249,42,249,235,248,183,248,174,248,199,248,11,249,132,249,9,250,98,250,
152,250,190,250,194,250,160,250,110,250,58,250,49,250,140,250,60,251,236,251,113,252,204,252,228,252,173,252,89,252,25,252,
235,251,200,251,213,251,47,252,167,252,246,252,26,253,61,253,98,253,134,253,193,253,5,254,42,254,69,254,135,254,226,254,
53,255,138,255,224,255,31,0,87,0,151,0,194,0,213,0,245,0,44,1,98,1,147,1,193,1,229,1,251,1,245,1,
214,1,191,1,199,1,227,1,39,2,168,2,59,3,183,3,30,4,73,4,8,4,163,3,128,3,150,3,189,3,246,3,
38,4,51,4,78,4,145,4,193,4,181,4,120,4,14,4,148,3,85,3,100,3,152,3,210,3,253,3,6,4,8,4,
44,4,94,4,121,4,113,4,80,4,71,4,136,4,232,4,28,5,44,5,58,5,49,5,27,5,33,5,34,5,240,4,
187,4,176,4,195,4,255,4,98,5,158,5,134,5,89,5,48,5,236,4,194,4,241,4,51,5,71,5,131,5,31,6,
172,6,206,6,172,6,107,6,246,5,120,5,56,5,29,5,246,4,236,4,29,5,70,5,72,5,78,5,65,5,238,4,
127,4,43,4,214,3,138,3,126,3,145,3,139,3,148,3,199,3,230,3,227,3,225,3,185,3,78,3,245,2,214,2,
168,2,90,2,45,2,35,2,12,2,224,1,166,1,89,1,16,1,224,0,204,0,222,0,17,1,56,1,51,1,21,1,
253,0,240,0,218,0,170,0,133,0,165,0,249,0,70,1,130,1,180,1,180,1,129,1,72,1,8,1,182,0,120,0,
100,0,91,0,95,0,137,0,199,0,251,0,35,1,49,1,29,1,7,1,246,0,216,0,198,0,229,0,29,1,92,1,
174,1,253,1,37,2,36,2,250,1,164,1,86,1,59,1,50,1,24,1,25,1,81,1,142,1,163,1,138,1,80,1,
14,1,226,0,229,0,32,1,122,1,196,1,233,1,11,2,60,2,89,2,72,2,39,2,31,2,52,2,76,2,96,2,
124,2,164,2,222,2,37,3,72,3,39,3,235,2,199,2,174,2,151,2,180,2,15,3,125,3,241,3,98,4,161,4,
175,4,181,4,167,4,124,4,113,4,160,4,227,4,70,5,220,5,93,6,146,6,163,6,157,6,100,6,35,6,2,6,
227,5,219,5,35,6,148,6,229,6,45,7,122,7,144,7,122,7,121,7,118,7,67,7,14,7,15,7,58,7,128,7,
218,7,33,8,45,8,10,8,209,7,141,7,69,7,255,6,206,6,195,6,211,6,233,6,253,6,1,7,224,6,155,6,
74,6,9,6,230,5,220,5,209,5,197,5,200,5,203,5,184,5,162,5,146,5,105,5,32,5,208,4,132,4,67,4,
30,4,8,4,228,3,182,3,148,3,119,3,75,3,8,3,180,2,115,2,97,2,99,2,76,2,35,2,0,2,230,1,
203,1,165,1,104,1,34,1,231,0,179,0,133,0,103,0,78,0,37,0,241,255,181,255,100,255,11,255,198,254,151,254,
108,254,58,254,4,254,220,253,190,253,133,253,43,253,214,252,152,252,112,252,117,252,140,252,102,252,12,252,209,251,167,251,
90,251,11,251,214,250,139,250,57,250,20,250,246,249,179,249,126,249,107,249,68,249,22,249,9,249,241,248,174,248,102,248,
30,248,206,247,182,247,227,247,251,247,229,247,221,247,212,247,149,247,61,247,253,246,201,246,158,246,153,246,162,246,146,246,
126,246,124,246,110,246,59,246,6,246,231,245,201,245,168,245,157,245,169,245,171,245,174,245,205,245,242,245,254,245,17,246,
68,246,111,246,106,246,52,246,224,245,152,245,148,245,207,245,30,246,113,246,183,246,214,246,235,246,30,247,66,247,44,247,
26,247,66,247,122,247,165,247,235,247,92,248,219,248,96,249,234,249,97,250,174,250,216,250,249,250,30,251,64,251,103,251,
176,251,27,252,145,252,20,253,163,253,23,254,99,254,165,254,213,254,232,254,14,255,92,255,168,255,254,255,142,0,61,1,
221,1,112,2,219,2,245,2,254,2,56,3,121,3,171,3,14,4,157,4,7,5,84,5,178,5,6,6,51,6,79,6,
94,6,89,6,104,6,161,6,231,6,43,7,117,7,203,7,53,8,189,8,61,9,134,9,152,9,142,9,128,9,142,9,
209,9,66,10,197,10,59,11,152,11,223,11,6,12,2,12,234,11,221,11,202,11,163,11,157,11,211,11,26,12,82,12,
150,12,233,12,25,13,18,13,247,12,230,12,210,12,176,12,161,12,184,12,216,12,246,12,53,13,128,13,124,13,25,13,
163,12,67,12,218,11,91,11,227,10,147,10,114,10,104,10,87,10,56,10,250,9,127,9,221,8,62,8,156,7,245,6,
128,6,75,6,43,6,30,6,48,6,37,6,200,5,56,5,159,4,7,4,117,3,219,2,48,2,172,1,119,1,90,1,
25,1,185,0,55,0,156,255,45,255,252,254,187,254,90,254,12,254,195,253,100,253,35,253,27,253,5,253,187,252,93,252,
0,252,170,251,125,251,132,251,126,251,40,251,139,250,247,249,156,249,72,249,184,248,248,247,60,247,176,246,143,246,220,246,
22,247,183,246,209,245,207,244,254,243,129,243,81,243,57,243,43,243,75,243,147,243,206,243,228,243,177,243,241,242,183,241,
132,240,156,239,221,238,90,238,107,238,255,238,153,239,244,239,14,240,173,239,168,238,93,237,51,236,40,235,92,234,52,234,
164,234,68,235,15,236,3,237,145,237,84,237,158,236,178,235,149,234,167,233,85,233,120,233,216,233,137,234,85,235,230,235,
92,236,193,236,137,236,130,235,96,234,191,233,176,233,78,234,164,235,32,237,26,238,164,238,21,239,65,239,225,238,78,238,
14,238,44,238,145,238,99,239,129,240,114,241,32,242,180,242,215,242,58,242,112,241,40,241,75,241,148,241,18,242,197,242,
156,243,184,244,224,245,124,246,120,246,69,246,255,245,169,245,165,245,32,246,221,246,205,247,252,248,3,250,141,250,205,250,
209,250,69,250,82,249,198,248,14,249,205,249,149,250,89,251,33,252,206,252,73,253,151,253,184,253,186,253,227,253,114,254,
80,255,60,0,43,1,46,2,44,3,228,3,69,4,130,4,211,4,63,5,169,5,0,6,73,6,176,6,108,7,93,8,
8,9,73,9,135,9,250,9,108,10,195,10,31,11,151,11,84,12,102,13,100,14,249,14,120,15,37,16,168,16,221,16,
36,17,144,17,247,17,126,18,32,19,107,19,83,19,57,19,22,19,170,18,72,18,102,18,227,18,100,19,200,19,251,19,
245,19,227,19,232,19,223,19,178,19,165,19,249,19,125,20,207,20,223,20,238,20,27,21,75,21,76,21,240,20,69,20,
177,19,107,19,41,19,187,18,111,18,111,18,123,18,117,18,101,18,26,18,129,17,227,16,111,16,26,16,19,16,131,16,
20,17,87,17,74,17,35,17,237,16,155,16,46,16,175,15,48,15,199,14,132,14,83,14,252,13,110,13,237,12,159,12,
65,12,166,11,16,11,162,10,45,10,169,9,76,9,41,9,32,9,37,9,37,9,248,8,158,8,69,8,249,7,153,7,
21,7,138,6,30,6,221,5,168,5,49,5,86,4,109,3,215,2,103,2,204,1,51,1,206,0,86,0,193,255,106,255,
47,255,172,254,46,254,29,254,26,254,223,253,196,253,185,253,74,253,187,252,145,252,128,252,33,252,182,251,88,251,198,250,
52,250,232,249,135,249,211,248,50,248,224,247,167,247,115,247,70,247,229,246,89,246,19,246,44,246,72,246,68,246,82,246,
122,246,143,246,135,246,120,246,106,246,93,246,90,246,91,246,81,246,64,246,56,246,25,246,196,245,101,245,53,245,36,245,
24,245,28,245,38,245,34,245,50,245,121,245,215,245,29,246,74,246,114,246,174,246,15,247,118,247,172,247,171,247,157,247,
186,247,44,248,209,248,65,249,77,249,44,249,7,249,225,248,197,248,186,248,172,248,180,248,0,249,113,249,211,249,42,250,
120,250,159,250,188,250,9,251,105,251,147,251,150,251,190,251,25,252,136,252,3,253,119,253,177,253,177,253,194,253,247,253,
3,254,211,253,168,253,155,253,172,253,8,254,166,254,26,255,78,255,135,255,186,255,198,255,3,0,148,0,19,1,104,1,
225,1,106,2,202,2,51,3,167,3,200,3,173,3,201,3,18,4,79,4,154,4,235,4,22,5,97,5,255,5,121,6,
121,6,97,6,120,6,148,6,185,6,27,7,151,7,0,8,128,8,43,9,185,9,1,10,43,10,75,10,71,10,35,10,
21,10,60,10,120,10,154,10,148,10,136,10,154,10,184,10,168,10,93,10,16,10,233,9,231,9,254,9,26,10,32,10,
34,10,78,10,126,10,107,10,42,10,239,9,181,9,112,9,67,9,54,9,46,9,30,9,250,8,179,8,96,8,20,8,
183,7,72,7,231,6,153,6,92,6,79,6,97,6,83,6,33,6,245,5,212,5,176,5,138,5,90,5,28,5,245,4,
238,4,220,4,176,4,134,4,101,4,48,4,215,3,98,3,244,2,166,2,99,2,10,2,164,1,78,1,28,1,22,1,
20,1,218,0,120,0,38,0,230,255,163,255,109,255,57,255,235,254,148,254,76,254,253,253,172,253,116,253,54,253,207,252,
105,252,20,252,166,251,45,251,200,250,78,250,171,249,29,249,189,248,104,248,30,248,229,247,154,247,66,247,13,247,237,246,
191,246,142,246,87,246,246,245,142,245,100,245,91,245,47,245,220,244,122,244,15,244,182,243,136,243,88,243,252,242,170,242,
170,242,216,242,234,242,211,242,155,242,58,242,217,241,166,241,146,241,147,241,214,241,81,242,182,242,1,243,97,243,178,243,
202,243,207,243,198,243,141,243,97,243,118,243,126,243,101,243,167,243,87,244,247,244,121,245,28,246,161,246,174,246,113,246,
45,246,245,245,10,246,162,246,126,247,82,248,20,249,179,249,23,250,89,250,149,250,197,250,249,250,76,251,172,251,246,251,
51,252,124,252,215,252,66,253,187,253,57,254,171,254,3,255,73,255,111,255,93,255,64,255,129,255,54,0,21,1,245,1,
189,2,41,3,54,3,62,3,91,3,99,3,143,3,41,4,236,4,117,5,225,5,76,6,138,6,153,6,175,6,217,6,
27,7,132,7,240,7,41,8,91,8,210,8,107,9,224,9,61,10,174,10,33,11,111,11,148,11,155,11,155,11,202,11,
68,12,228,12,130,13,41,14,187,14,231,14,161,14,44,14,179,13,77,13,57,13,140,13,8,14,123,14,214,14,245,14,
224,14,212,14,203,14,136,14,37,14,226,13,176,13,114,13,74,13,56,13,19,13,226,12,201,12,199,12,203,12,184,12,
93,12,175,11,219,10,5,10,69,9,180,8,80,8,248,7,165,7,86,7,243,6,131,6,44,6,229,5,140,5,34,5,
175,4,46,4,157,3,231,2,9,2,83,1,22,1,53,1,97,1,108,1,33,1,101,0,121,255,164,254,227,253,62,253,
197,252,79,252,213,251,177,251,235,251,1,252,161,251,240,250,10,250,22,249,116,248,65,248,23,248,178,247,60,247,191,246,
34,246,142,245,67,245,6,245,96,244,62,243,235,241,199,240,53,240,92,240,197,240,198,240,61,240,103,239,102,238,100,237,
161,236,4,236,98,235,22,235,133,235,94,236,32,237,176,237,239,237,141,237,168,236,191,235,10,235,128,234,43,234,16,234,
37,234,127,234,46,235,247,235,127,236,162,236,111,236,245,235,69,235,139,234,18,234,9,234,125,234,113,235,177,236,200,237,
112,238,185,238,157,238,37,238,220,237,64,238,5,239,179,239,90,240,20,241,172,241,10,242,46,242,240,241,122,241,98,241,
216,241,117,242,10,243,183,243,110,244,16,245,172,245,52,246,122,246,118,246,64,246,253,245,250,245,132,246,131,247,152,248,
159,249,191,250,237,251,187,252,202,252,45,252,58,251,93,250,38,250,235,250,84,252,197,253,11,255,20,0,161,0,180,0,
167,0,151,0,108,0,102,0,220,0,169,1,145,2,167,3,216,4,189,5,61,6,186,6,101,7,250,7,50,8,25,8,
235,7,247,7,127,8,97,9,47,10,205,10,118,11,17,12,72,12,49,12,51,12,109,12,225,12,164,13,134,14,55,15,
193,15,45,16,45,16,204,15,162,15,233,15,78,16,191,16,106,17,45,18,189,18,247,18,193,18,35,18,126,17,56,17,
90,17,171,17,234,17,250,17,247,17,12,18,53,18,96,18,140,18,177,18,199,18,206,18,181,18,122,18,82,18,77,18,
63,18,40,18,67,18,124,18,136,18,94,18,8,18,123,17,252,16,243,16,50,17,52,17,237,16,164,16,74,16,175,15,
1,15,141,14,103,14,137,14,248,14,133,15,206,15,175,15,73,15,151,14,145,13,155,12,45,12,35,12,20,12,246,11,
232,11,208,11,159,11,92,11,228,10,32,10,86,9,193,8,65,8,181,7,44,7,178,6,95,6,90,6,140,6,148,6,
65,6,185,5,27,5,94,4,148,3,251,2,175,2,139,2,111,2,83,2,29,2,163,1,234,0,8,0,16,255,72,254,
255,253,21,254,34,254,9,254,207,253,84,253,167,252,16,252,148,251,6,251,133,250,62,250,21,250,251,249,3,250,12,250,
235,249,171,249,98,249,252,248,111,248,189,247,240,246,66,246,254,245,29,246,88,246,125,246,120,246,67,246,243,245,141,245,
253,244,83,244,194,243,113,243,122,243,215,243,67,244,118,244,105,244,58,244,248,243,198,243,175,243,131,243,39,243,218,242,
212,242,0,243,47,243,78,243,80,243,51,243,17,243,15,243,44,243,74,243,83,243,88,243,116,243,178,243,8,244,90,244,
127,244,117,244,112,244,151,244,235,244,104,245,244,245,88,246,145,246,210,246,30,247,69,247,67,247,58,247,57,247,87,247,
187,247,76,248,199,248,22,249,88,249,165,249,250,249,67,250,119,250,159,250,209,250,37,251,167,251,52,252,153,252,222,252,
45,253,127,253,189,253,242,253,34,254,73,254,139,254,1,255,120,255,206,255,30,0,100,0,124,0,134,0,175,0,224,0,
10,1,83,1,190,1,48,2,166,2,25,3,96,3,115,3,127,3,155,3,200,3,15,4,109,4,200,4,18,5,88,5,
167,5,237,5,16,6,24,6,32,6,45,6,70,6,142,6,246,6,48,7,55,7,97,7,190,7,8,8,46,8,88,8,
137,8,185,8,253,8,71,9,111,9,139,9,200,9,16,10,57,10,66,10,68,10,76,10,100,10,150,10,218,10,13,11,
25,11,22,11,22,11,250,10,180,10,116,10,95,10,101,10,137,10,222,10,60,11,100,11,87,11,47,11,240,10,174,10,
135,10,116,10,84,10,48,10,40,10,59,10,76,10,63,10,20,10,212,9,133,9,49,9,221,8,126,8,26,8,210,7,
166,7,120,7,77,7,63,7,44,7,238,6,158,6,94,6,34,6,229,5,161,5,61,5,218,4,180,4,171,4,106,4,
244,3,130,3,34,3,216,2,170,2,110,2,9,2,164,1,88,1,255,0,136,0,2,0,105,255,201,254,97,254,80,254,
100,254,97,254,52,254,240,253,177,253,120,253,53,253,215,252,92,252,208,251,88,251,13,251,220,250,162,250,86,250,2,250,
192,249,165,249,151,249,94,249,238,248,103,248,234,247,152,247,113,247,73,247,7,247,218,246,217,246,220,246,206,246,198,246,
178,246,108,246,9,246,185,245,143,245,125,245,86,245,241,244,116,244,41,244,22,244,8,244,234,243,196,243,161,243,145,243,
151,243,138,243,63,243,208,242,136,242,148,242,221,242,43,243,92,243,108,243,116,243,150,243,197,243,203,243,167,243,155,243,
207,243,41,244,136,244,220,244,11,245,17,245,25,245,78,245,196,245,97,246,224,246,25,247,79,247,199,247,100,248,250,248,
128,249,233,249,60,250,173,250,70,251,199,251,28,252,118,252,240,252,150,253,127,254,135,255,78,0,168,0,169,0,127,0,
119,0,199,0,75,1,201,1,91,2,48,3,40,4,245,4,101,5,118,5,85,5,68,5,111,5,214,5,77,6,168,6,
236,6,65,7,172,7,24,8,128,8,215,8,254,8,1,9,9,9,23,9,27,9,42,9,89,9,158,9,252,9,122,10,
243,10,49,11,49,11,33,11,56,11,135,11,239,11,73,12,159,12,2,13,97,13,150,13,150,13,112,13,87,13,132,13,
248,13,123,14,221,14,21,15,32,15,247,14,183,14,140,14,126,14,113,14,110,14,152,14,221,14,21,15,54,15,51,15,
234,14,126,14,68,14,50,14,0,14,172,13,78,13,212,12,95,12,58,12,52,12,233,11,125,11,56,11,223,10,55,10,
110,9,166,8,214,7,39,7,193,6,117,6,11,6,145,5,13,5,102,4,178,3,41,3,204,2,109,2,244,1,107,1,
219,0,71,0,179,255,18,255,73,254,114,253,208,252,103,252,254,251,146,251,59,251,206,250,50,250,175,249,91,249,235,248,
97,248,245,247,113,247,154,246,188,245,20,245,110,244,213,243,170,243,211,243,224,243,188,243,120,243,232,242,11,242,55,241,
132,240,202,239,36,239,206,238,180,238,174,238,187,238,179,238,83,238,187,237,52,237,170,236,231,235,38,235,188,234,151,234,
136,234,158,234,222,234,51,235,149,235,232,235,226,235,124,235,253,234,134,234,38,234,29,234,143,234,58,235,222,235,104,236,
188,236,195,236,156,236,98,236,36,236,21,236,84,236,180,236,18,237,122,237,219,237,14,238,36,238,69,238,130,238,234,238,
113,239,230,239,54,240,141,240,9,241,151,241,20,242,104,242,149,242,186,242,227,242,6,243,48,243,125,243,224,243,76,244,
217,244,124,245,0,246,85,246,129,246,139,246,146,246,206,246,70,247,219,247,127,248,35,249,181,249,51,250,169,250,26,251,
138,251,8,252,157,252,79,253,7,254,141,254,213,254,23,255,114,255,201,255,30,0,157,0,70,1,251,1,184,2,106,3,
245,3,107,4,234,4,72,5,103,5,135,5,246,5,154,6,70,7,5,8,211,8,128,9,2,10,133,10,255,10,63,11,
77,11,74,11,61,11,75,11,180,11,105,12,26,13,187,13,87,14,191,14,215,14,201,14,169,14,115,14,95,14,154,14,
254,14,109,15,249,15,132,16,199,16,197,16,179,16,170,16,169,16,169,16,163,16,167,16,198,16,245,16,44,17,93,17,
88,17,17,17,213,16,206,16,201,16,173,16,158,16,161,16,182,16,253,16,97,17,149,17,138,17,86,17,232,16,86,16,
250,15,235,15,244,15,13,16,64,16,107,16,121,16,115,16,50,16,154,15,246,14,147,14,84,14,15,14,227,13,224,13,
211,13,169,13,129,13,88,13,0,13,128,12,2,12,140,11,15,11,167,10,115,10,81,10,32,10,233,9,174,9,77,9,
191,8,32,8,129,7,245,6,155,6,110,6,55,6,215,5,110,5,26,5,197,4,70,4,156,3,245,2,125,2,68,2,
58,2,50,2,4,2,181,1,88,1,234,0,111,0,1,0,156,255,35,255,168,254,81,254,33,254,22,254,41,254,19,254,
172,253,50,253,223,252,140,252,26,252,153,251,23,251,183,250,186,250,250,250,5,251,191,250,91,250,235,249,125,249,60,249,
25,249,229,248,174,248,132,248,72,248,255,247,220,247,196,247,119,247,7,247,179,246,143,246,142,246,140,246,92,246,0,246,
174,245,133,245,119,245,105,245,60,245,240,244,177,244,143,244,109,244,74,244,79,244,123,244,165,244,188,244,178,244,123,244,
60,244,36,244,37,244,29,244,44,244,106,244,164,244,188,244,217,244,8,245,23,245,9,245,19,245,57,245,89,245,136,245,
216,245,12,246,9,246,27,246,114,246,225,246,75,247,181,247,4,248,35,248,53,248,92,248,146,248,218,248,54,249,141,249,
218,249,62,250,184,250,30,251,86,251,109,251,143,251,225,251,84,252,181,252,237,252,21,253,81,253,173,253,16,254,86,254,
145,254,229,254,63,255,142,255,243,255,95,0,136,0,138,0,199,0,47,1,119,1,173,1,228,1,248,1,2,2,67,2,
157,2,218,2,21,3,89,3,128,3,162,3,236,3,44,4,52,4,52,4,78,4,106,4,154,4,243,4,72,5,109,5,
125,5,144,5,159,5,186,5,236,5,18,6,24,6,32,6,64,6,101,6,125,6,141,6,155,6,173,6,213,6,23,7,
85,7,113,7,119,7,128,7,144,7,157,7,165,7,182,7,222,7,25,8,82,8,132,8,187,8,233,8,248,8,247,8,
2,9,8,9,241,8,207,8,189,8,205,8,3,9,75,9,121,9,134,9,145,9,170,9,189,9,170,9,92,9,245,8,
177,8,157,8,172,8,220,8,10,9,250,8,189,8,153,8,132,8,83,8,31,8,247,7,178,7,90,7,32,7,242,6,
187,6,162,6,157,6,90,6,231,5,157,5,129,5,87,5,14,5,179,4,84,4,20,4,246,3,206,3,128,3,33,3,
190,2,92,2,2,2,188,1,155,1,166,1,168,1,102,1,253,0,162,0,75,0,232,255,148,255,84,255,20,255,228,254,
215,254,215,254,206,254,184,254,135,254,60,254,254,253,214,253,151,253,56,253,223,252,148,252,89,252,86,252,151,252,208,252,
198,252,146,252,85,252,15,252,201,251,143,251,66,251,218,250,148,250,139,250,144,250,127,250,92,250,25,250,186,249,107,249,
59,249,18,249,248,248,223,248,130,248,239,247,141,247,101,247,35,247,211,246,181,246,177,246,167,246,166,246,148,246,66,246,
228,245,185,245,149,245,73,245,3,245,224,244,190,244,150,244,136,244,159,244,193,244,220,244,235,244,246,244,255,244,9,245,
21,245,21,245,251,244,225,244,248,244,66,245,169,245,47,246,184,246,18,247,77,247,154,247,239,247,77,248,215,248,105,249,
180,249,203,249,235,249,8,250,53,250,193,250,155,251,99,252,32,253,247,253,157,254,215,254,234,254,251,254,221,254,183,254,
247,254,165,255,125,0,109,1,91,2,248,2,60,3,123,3,197,3,231,3,233,3,252,3,25,4,57,4,143,4,32,5,
170,5,25,6,127,6,201,6,221,6,223,6,224,6,201,6,185,6,242,6,121,7,31,8,188,8,38,9,66,9,41,9,
5,9,241,8,255,8,68,9,196,9,130,10,81,11,209,11,212,11,145,11,56,11,200,10,111,10,112,10,206,10,110,11,
60,12,240,12,71,13,96,13,101,13,57,13,217,12,124,12,48,12,242,11,243,11,78,12,201,12,56,13,164,13,253,13,
22,14,211,13,65,13,136,12,217,11,68,11,210,10,169,10,211,10,26,11,69,11,60,11,233,10,73,10,140,9,226,8,
99,8,23,8,236,7,176,7,76,7,205,6,65,6,178,5,36,5,136,4,230,3,119,3,66,3,250,2,124,2,245,1,
107,1,198,0,34,0,143,255,211,254,231,253,40,253,177,252,57,252,189,251,123,251,93,251,21,251,174,250,78,250,209,249,
39,249,122,248,185,247,197,246,250,245,173,245,148,245,98,245,59,245,24,245,178,244,39,244,172,243,3,243,14,242,48,241,
127,240,190,239,49,239,66,239,164,239,209,239,193,239,136,239,19,239,142,238,37,238,143,237,161,236,206,235,122,235,122,235,
152,235,235,235,115,236,234,236,18,237,238,236,153,236,37,236,179,235,106,235,83,235,113,235,223,235,147,236,55,237,144,237,
184,237,191,237,170,237,177,237,240,237,40,238,76,238,171,238,52,239,131,239,150,239,162,239,142,239,88,239,81,239,136,239,
185,239,248,239,135,240,46,241,164,241,17,242,146,242,220,242,206,242,185,242,211,242,16,243,102,243,206,243,56,244,189,244,
142,245,120,246,9,247,41,247,28,247,16,247,22,247,75,247,176,247,39,248,169,248,64,249,214,249,101,250,253,250,135,251,
226,251,46,252,153,252,35,253,201,253,135,254,34,255,119,255,199,255,85,0,12,1,205,1,140,2,44,3,167,3,34,4,
158,4,236,4,2,5,17,5,79,5,205,5,105,6,246,6,132,7,53,8,232,8,112,9,229,9,85,10,165,10,220,10,
6,11,7,11,248,10,51,11,184,11,58,12,178,12,77,13,240,13,96,14,131,14,86,14,0,14,218,13,253,13,37,14,
53,14,87,14,154,14,226,14,37,15,100,15,138,15,150,15,162,15,196,15,235,15,0,16,4,16,10,16,18,16,15,16,
23,16,60,16,92,16,79,16,48,16,30,16,18,16,10,16,21,16,26,16,0,16,248,15,39,16,72,16,18,16,179,15,
126,15,117,15,119,15,132,15,140,15,111,15,72,15,61,15,39,15,220,14,134,14,71,14,254,13,169,13,118,13,97,13,
58,13,245,12,144,12,23,12,196,11,170,11,120,11,255,10,125,10,22,10,178,9,102,9,73,9,40,9,216,8,130,8,
67,8,4,8,183,7,94,7,231,6,90,6,224,5,148,5,97,5,17,5,131,4,222,3,99,3,30,3,0,3,249,2,
211,2,94,2,210,1,124,1,56,1,206,0,84,0,227,255,121,255,60,255,63,255,65,255,23,255,236,254,199,254,120,254,
21,254,201,253,125,253,16,253,159,252,62,252,227,251,170,251,173,251,189,251,166,251,113,251,50,251,219,250,110,250,20,250,
217,249,171,249,145,249,142,249,134,249,99,249,59,249,26,249,247,248,217,248,191,248,129,248,32,248,225,247,218,247,208,247,
163,247,111,247,70,247,45,247,45,247,57,247,44,247,253,246,194,246,150,246,146,246,175,246,187,246,160,246,140,246,165,246,
211,246,247,246,12,247,26,247,34,247,31,247,29,247,53,247,81,247,70,247,34,247,32,247,64,247,112,247,181,247,235,247,
221,247,206,247,22,248,128,248,181,248,215,248,4,249,23,249,51,249,162,249,53,250,143,250,190,250,229,250,247,250,10,251,
80,251,185,251,17,252,75,252,113,252,154,252,231,252,67,253,116,253,110,253,96,253,110,253,173,253,21,254,115,254,168,254,
223,254,62,255,162,255,240,255,53,0,105,0,124,0,136,0,169,0,210,0,249,0,46,1,108,1,166,1,231,1,47,2,
79,2,50,2,2,2,223,1,198,1,207,1,14,2,86,2,131,2,185,2,255,2,25,3,7,3,7,3,23,3,22,3,
35,3,102,3,183,3,238,3,23,4,51,4,50,4,33,4,25,4,22,4,26,4,46,4,81,4,120,4,160,4,202,4,
248,4,40,5,79,5,96,5,90,5,79,5,97,5,169,5,8,6,87,6,165,6,254,6,60,7,87,7,104,7,83,7,
5,7,207,6,231,6,19,7,67,7,162,7,255,7,12,8,247,7,242,7,208,7,137,7,92,7,76,7,63,7,93,7,
170,7,212,7,198,7,184,7,168,7,117,7,62,7,38,7,6,7,191,6,106,6,45,6,13,6,245,5,198,5,119,5,
36,5,229,4,177,4,120,4,56,4,242,3,167,3,105,3,67,3,36,3,239,2,166,2,107,2,76,2,51,2,11,2,
205,1,125,1,55,1,21,1,248,0,184,0,96,0,28,0,237,255,198,255,172,255,155,255,123,255,62,255,247,254,189,254,
146,254,110,254,85,254,84,254,103,254,125,254,148,254,167,254,151,254,91,254,11,254,184,253,109,253,65,253,44,253,14,253,
241,252,239,252,239,252,207,252,149,252,64,252,196,251,71,251,248,250,197,250,147,250,114,250,94,250,56,250,5,250,228,249,
217,249,193,249,127,249,20,249,161,248,60,248,228,247,150,247,79,247,7,247,213,246,219,246,230,246,167,246,64,246,3,246,
209,245,101,245,237,244,173,244,155,244,170,244,237,244,62,245,95,245,98,245,128,245,165,245,163,245,128,245,93,245,60,245,
37,245,58,245,136,245,241,245,88,246,183,246,5,247,57,247,83,247,73,247,28,247,251,246,28,247,124,247,0,248,165,248,
80,249,207,249,30,250,90,250,123,250,124,250,138,250,207,250,67,251,212,251,129,252,57,253,221,253,87,254,153,254,169,254,
172,254,205,254,31,255,137,255,229,255,61,0,204,0,150,1,85,2,225,2,76,3,150,3,183,3,201,3,223,3,0,4,
84,4,243,4,166,5,66,6,219,6,111,7,206,7,237,7,237,7,232,7,248,7,60,8,173,8,37,9,142,9,226,9,
39,10,106,10,173,10,243,10,64,11,126,11,157,11,192,11,13,12,106,12,187,12,13,13,92,13,148,13,204,13,12,14,
35,14,11,14,0,14,6,14,14,14,68,14,178,14,245,14,228,14,205,14,204,14,168,14,97,14,60,14,63,14,70,14,
86,14,122,14,139,14,119,14,96,14,70,14,254,13,142,13,40,13,205,12,95,12,1,12,230,11,234,11,213,11,169,11,
110,11,8,11,114,10,196,9,9,9,88,8,222,7,163,7,131,7,112,7,91,7,27,7,156,6,255,5,91,5,177,4,
23,4,146,3,4,3,113,2,10,2,207,1,131,1,12,1,138,0,3,0,93,255,165,254,253,253,97,253,196,252,70,252,
4,252,202,251,94,251,210,250,68,250,163,249,240,248,87,248,227,247,122,247,26,247,214,246,168,246,115,246,21,246,121,245,
175,244,231,243,70,243,207,242,115,242,24,242,160,241,1,241,81,240,188,239,81,239,242,238,139,238,63,238,26,238,239,237,
167,237,73,237,180,236,221,235,38,235,215,234,187,234,167,234,183,234,205,234,168,234,117,234,117,234,99,234,238,233,88,233,
254,232,211,232,188,232,218,232,60,233,176,233,24,234,126,234,203,234,211,234,162,234,79,234,194,233,40,233,35,233,0,234,
61,235,86,236,56,237,198,237,212,237,146,237,55,237,176,236,50,236,70,236,242,236,213,237,231,238,31,240,244,240,36,241,
19,241,249,240,200,240,188,240,4,241,91,241,194,241,177,242,19,244,59,245,239,245,110,246,185,246,178,246,151,246,161,246,
184,246,246,246,192,247,29,249,139,250,177,251,141,252,5,253,235,252,126,252,56,252,74,252,177,252,130,253,160,254,180,255,
171,0,167,1,101,2,127,2,45,2,10,2,72,2,193,2,104,3,51,4,0,5,200,5,144,6,47,7,136,7,205,7,
40,8,117,8,153,8,194,8,27,9,157,9,66,10,249,10,152,11,20,12,143,12,237,12,233,12,175,12,190,12,54,13,
201,13,79,14,215,14,90,15,197,15,17,16,40,16,11,16,3,16,90,16,251,16,138,17,218,17,8,18,49,18,67,18,
55,18,54,18,90,18,135,18,174,18,222,18,1,19,1,19,0,19,20,19,20,19,238,18,216,18,246,18,43,19,62,19,
6,19,163,18,121,18,163,18,210,18,216,18,202,18,158,18,71,18,247,17,199,17,133,17,49,17,4,17,234,16,173,16,
105,16,56,16,214,15,31,15,104,14,4,14,224,13,195,13,147,13,72,13,227,12,124,12,45,12,228,11,109,11,208,10,
83,10,11,10,204,9,125,9,34,9,176,8,43,8,186,7,109,7,29,7,176,6,35,6,115,5,191,4,67,4,9,4,
222,3,152,3,66,3,244,2,175,2,93,2,227,1,76,1,199,0,119,0,81,0,53,0,8,0,208,255,143,255,56,255,
195,254,69,254,203,253,93,253,19,253,242,252,204,252,138,252,73,252,1,252,148,251,33,251,220,250,169,250,84,250,243,249,
176,249,143,249,146,249,175,249,175,249,106,249,17,249,212,248,146,248,34,248,167,247,86,247,49,247,35,247,49,247,76,247,
66,247,249,246,134,246,11,246,178,245,162,245,191,245,189,245,147,245,123,245,136,245,151,245,156,245,151,245,114,245,68,245,
70,245,115,245,148,245,153,245,146,245,134,245,138,245,177,245,216,245,212,245,188,245,183,245,188,245,208,245,23,246,129,246,
201,246,225,246,9,247,88,247,157,247,179,247,178,247,199,247,11,248,122,248,244,248,86,249,147,249,188,249,225,249,11,250,
53,250,93,250,148,250,223,250,30,251,71,251,133,251,219,251,17,252,36,252,77,252,147,252,213,252,36,253,136,253,211,253,
1,254,77,254,179,254,249,254,29,255,66,255,96,255,120,255,168,255,231,255,15,0,46,0,105,0,178,0,231,0,15,1,
54,1,72,1,61,1,54,1,88,1,149,1,216,1,53,2,185,2,53,3,128,3,160,3,165,3,171,3,223,3,50,4,
94,4,98,4,130,4,198,4,14,5,103,5,195,5,222,5,193,5,185,5,204,5,216,5,242,5,35,6,77,6,135,6,
238,6,77,7,121,7,157,7,193,7,190,7,176,7,220,7,54,8,150,8,246,8,64,9,79,9,51,9,16,9,236,8,
208,8,202,8,201,8,174,8,144,8,155,8,212,8,14,9,28,9,252,8,214,8,188,8,164,8,146,8,145,8,144,8,
136,8,145,8,182,8,221,8,240,8,220,8,149,8,64,8,5,8,217,7,172,7,156,7,163,7,134,7,59,7,245,6,
183,6,100,6,20,6,231,5,203,5,188,5,201,5,219,5,204,5,175,5,145,5,81,5,242,4,163,4,108,4,55,4,
14,4,242,3,201,3,146,3,97,3,36,3,209,2,133,2,58,2,206,1,81,1,242,0,178,0,135,0,110,0,73,0,
6,0,214,255,215,255,213,255,156,255,63,255,230,254,169,254,146,254,131,254,84,254,6,254,181,253,111,253,60,253,17,253,
208,252,119,252,33,252,200,251,95,251,4,251,202,250,152,250,98,250,55,250,7,250,204,249,161,249,128,249,71,249,6,249,
220,248,186,248,134,248,59,248,204,247,85,247,15,247,221,246,123,246,6,246,192,245,150,245,94,245,38,245,229,244,140,244,
78,244,62,244,30,244,230,243,209,243,201,243,141,243,79,243,104,243,193,243,22,244,74,244,77,244,41,244,21,244,42,244,
57,244,30,244,240,243,206,243,208,243,4,244,84,244,141,244,158,244,161,244,182,244,244,244,82,245,171,245,236,245,25,246,
57,246,99,246,191,246,76,247,206,247,28,248,80,248,144,248,227,248,56,249,116,249,134,249,138,249,174,249,238,249,28,250,
54,250,94,250,147,250,182,250,215,250,36,251,151,251,3,252,96,252,193,252,47,253,181,253,81,254,206,254,253,254,16,255,
87,255,207,255,78,0,218,0,119,1,254,1,110,2,249,2,137,3,211,3,225,3,246,3,15,4,26,4,81,4,228,4,
167,5,117,6,89,7,56,8,229,8,111,9,217,9,242,9,211,9,241,9,111,10,15,11,186,11,129,12,67,13,222,13,
79,14,124,14,80,14,22,14,24,14,42,14,30,14,45,14,135,14,249,14,98,15,212,15,57,16,99,16,97,16,84,16,
55,16,23,16,41,16,109,16,173,16,221,16,19,17,55,17,23,17,185,16,56,16,171,15,65,15,38,15,71,15,98,15,
88,15,47,15,243,14,175,14,85,14,203,13,42,13,180,12,138,12,151,12,197,12,246,12,5,13,237,12,192,12,120,12,
15,12,155,11,29,11,117,10,178,9,28,9,224,8,223,8,206,8,111,8,219,7,93,7,0,7,134,6,224,5,58,5,
166,4,29,4,180,3,129,3,106,3,58,3,213,2,67,2,164,1,28,1,177,0,83,0,227,255,76,255,162,254,253,253,
82,253,146,252,206,251,10,251,64,250,158,249,84,249,40,249,190,248,31,248,138,247,11,247,145,246,17,246,123,245,218,244,
90,244,3,244,186,243,124,243,79,243,17,243,158,242,250,241,59,241,129,240,221,239,51,239,115,238,213,237,127,237,63,237,
234,236,148,236,61,236,205,235,95,235,19,235,211,234,155,234,139,234,147,234,132,234,98,234,70,234,51,234,46,234,60,234,
57,234,15,234,222,233,189,233,164,233,157,233,166,233,151,233,105,233,65,233,36,233,12,233,34,233,128,233,245,233,97,234,
210,234,64,235,135,235,168,235,177,235,170,235,191,235,43,236,222,236,144,237,33,238,156,238,6,239,92,239,148,239,168,239,
170,239,186,239,229,239,60,240,209,240,142,241,53,242,174,242,13,243,111,243,244,243,162,244,81,245,215,245,75,246,220,246,
170,247,164,248,131,249,15,250,99,250,178,250,245,250,44,251,133,251,249,251,88,252,189,252,97,253,26,254,170,254,33,255,
121,255,142,255,157,255,22,0,241,0,204,1,121,2,17,3,182,3,126,4,77,5,229,5,53,6,104,6,173,6,28,7,
173,7,51,8,143,8,222,8,57,9,154,9,13,10,146,10,247,10,39,11,87,11,170,11,7,12,103,12,213,12,89,13,
251,13,189,14,126,15,42,16,207,16,92,17,196,17,47,18,165,18,217,18,189,18,176,18,216,18,7,19,57,19,122,19,
165,19,195,19,18,20,108,20,106,20,19,20,200,19,170,19,173,19,220,19,44,20,108,20,148,20,189,20,234,20,9,21,
15,21,236,20,156,20,65,20,254,19,204,19,141,19,39,19,159,18,21,18,171,17,95,17,19,17,171,16,28,16,127,15,
1,15,180,14,125,14,55,14,216,13,127,13,81,13,59,13,4,13,164,12,61,12,218,11,122,11,50,11,242,10,130,10,
241,9,125,9,21,9,138,8,251,7,126,7,221,6,25,6,130,5,37,5,208,4,128,4,75,4,25,4,241,3,237,3,
215,3,112,3,236,2,148,2,83,2,15,2,221,1,169,1,90,1,20,1,237,0,172,0,52,0,169,255,18,255,86,254,
152,253,3,253,139,252,27,252,206,251,170,251,133,251,67,251,249,250,176,250,75,250,199,249,96,249,56,249,34,249,242,248,
189,248,141,248,60,248,202,247,91,247,232,246,80,246,188,245,88,245,7,245,169,244,93,244,39,244,213,243,100,243,20,243,
251,242,232,242,193,242,162,242,165,242,192,242,230,242,16,243,48,243,68,243,104,243,161,243,207,243,222,243,212,243,187,243,
163,243,177,243,227,243,11,244,27,244,55,244,91,244,104,244,119,244,167,244,220,244,5,245,76,245,189,245,50,246,172,246,
52,247,156,247,211,247,29,248,148,248,242,248,33,249,86,249,146,249,178,249,209,249,24,250,97,250,139,250,187,250,244,250,
3,251,244,250,11,251,61,251,78,251,86,251,147,251,254,251,116,252,241,252,99,253,159,253,185,253,240,253,61,254,120,254,
173,254,239,254,27,255,44,255,78,255,136,255,178,255,192,255,193,255,182,255,175,255,209,255,20,0,83,0,132,0,180,0,
231,0,39,1,133,1,242,1,79,2,154,2,229,2,63,3,168,3,16,4,88,4,129,4,167,4,218,4,23,5,87,5,
145,5,198,5,4,6,72,6,128,6,173,6,212,6,224,6,218,6,252,6,81,7,168,7,244,7,91,8,213,8,53,9,
118,9,167,9,197,9,215,9,245,9,31,10,72,10,108,10,131,10,137,10,139,10,140,10,119,10,73,10,11,10,198,9,
149,9,153,9,190,9,208,9,207,9,219,9,238,9,242,9,222,9,172,9,94,9,15,9,214,8,186,8,192,8,217,8,
223,8,195,8,138,8,52,8,206,7,118,7,24,7,149,6,21,6,205,5,164,5,129,5,122,5,122,5,74,5,1,5,
219,4,201,4,161,4,112,4,65,4,9,4,218,3,198,3,174,3,119,3,51,3,240,2,171,2,102,2,39,2,234,1,
171,1,95,1,3,1,178,0,119,0,52,0,230,255,173,255,137,255,102,255,78,255,65,255,37,255,7,255,249,254,209,254,
128,254,70,254,42,254,226,253,124,253,70,253,35,253,214,252,118,252,38,252,201,251,96,251,1,251,149,250,29,250,210,249,
178,249,129,249,71,249,49,249,28,249,221,248,141,248,67,248,244,247,175,247,128,247,81,247,31,247,254,246,218,246,139,246,
24,246,154,245,29,245,174,244,84,244,2,244,186,243,147,243,144,243,166,243,194,243,184,243,108,243,3,243,179,242,139,242,
141,242,178,242,227,242,27,243,109,243,199,243,4,244,32,244,38,244,8,244,208,243,166,243,146,243,138,243,153,243,185,243,
222,243,40,244,176,244,65,245,158,245,201,245,219,245,235,245,31,246,118,246,209,246,62,247,222,247,147,248,47,249,186,249,
40,250,79,250,77,250,104,250,170,250,7,251,126,251,222,251,253,251,29,252,127,252,237,252,52,253,133,253,241,253,65,254,
119,254,201,254,60,255,182,255,66,0,245,0,202,1,158,2,48,3,85,3,57,3,45,3,77,3,143,3,252,3,154,4,
92,5,47,6,221,6,49,7,51,7,18,7,230,6,203,6,246,6,109,7,252,7,154,8,100,9,87,10,72,11,24,12,
163,12,214,12,206,12,184,12,163,12,164,12,234,12,125,13,39,14,199,14,99,15,225,15,251,15,166,15,45,15,214,14,
167,14,170,14,1,15,155,15,54,16,181,16,12,17,29,17,243,16,212,16,209,16,190,16,183,16,240,16,56,17,78,17,
93,17,134,17,130,17,34,17,159,16,19,16,113,15,227,14,152,14,115,14,89,14,85,14,85,14,50,14,247,13,169,13,
35,13,116,12,234,11,159,11,111,11,93,11,118,11,140,11,119,11,59,11,213,10,44,10,88,9,144,8,230,7,88,7,
242,6,169,6,65,6,167,5,253,4,97,4,209,3,91,3,1,3,159,2,34,2,178,1,106,1,36,1,197,0,98,0,
7,0,156,255,30,255,162,254,41,254,169,253,38,253,167,252,45,252,198,251,112,251,247,250,41,250,32,249,45,248,132,247,
22,247,193,246,138,246,128,246,138,246,115,246,34,246,154,245,223,244,12,244,93,243,252,242,204,242,144,242,52,242,217,241,
163,241,124,241,33,241,115,240,143,239,160,238,195,237,21,237,177,236,141,236,126,236,84,236,253,235,159,235,94,235,29,235,
170,234,39,234,242,233,33,234,121,234,205,234,29,235,100,235,132,235,94,235,235,234,78,234,184,233,77,233,34,233,55,233,
114,233,193,233,41,234,158,234,241,234,5,235,229,234,173,234,130,234,145,234,236,234,138,235,86,236,39,237,202,237,48,238,
121,238,199,238,39,239,138,239,211,239,15,240,126,240,43,241,198,241,30,242,86,242,136,242,174,242,224,242,52,243,151,243,
2,244,153,244,101,245,63,246,14,247,196,247,77,248,164,248,225,248,42,249,179,249,141,250,119,251,37,252,157,252,8,253,
115,253,215,253,32,254,45,254,29,254,69,254,173,254,23,255,140,255,50,0,201,0,12,1,51,1,142,1,23,2,174,2,
68,3,190,3,34,4,172,4,112,5,50,6,188,6,13,7,65,7,119,7,193,7,26,8,130,8,253,8,118,9,224,9,
68,10,151,10,205,10,3,11,74,11,129,11,180,11,47,12,253,12,216,13,165,14,106,15,10,16,117,16,198,16,11,17,
57,17,109,17,186,17,0,18,52,18,126,18,224,18,47,19,79,19,68,19,37,19,27,19,49,19,53,19,4,19,191,18,
152,18,164,18,213,18,10,19,33,19,26,19,13,19,11,19,12,19,247,18,192,18,138,18,107,18,50,18,197,17,95,17,
7,17,108,16,143,15,214,14,93,14,240,13,140,13,50,13,185,12,60,12,253,11,199,11,73,11,178,10,66,10,215,9,
101,9,31,9,246,8,194,8,160,8,152,8,109,8,27,8,204,7,100,7,188,6,7,6,110,5,223,4,104,4,36,4,
232,3,135,3,42,3,233,2,155,2,49,2,211,1,147,1,97,1,52,1,11,1,223,0,177,0,143,0,121,0,86,0,
16,0,176,255,91,255,14,255,176,254,64,254,215,253,115,253,12,253,171,252,72,252,206,251,71,251,205,250,101,250,16,250,
208,249,152,249,93,249,41,249,251,248,197,248,152,248,127,248,85,248,10,248,201,247,164,247,127,247,83,247,35,247,216,246,
117,246,37,246,237,245,183,245,150,245,141,245,107,245,36,245,240,244,228,244,225,244,229,244,250,244,25,245,73,245,158,245,
2,246,85,246,149,246,197,246,227,246,255,246,26,247,40,247,69,247,138,247,209,247,0,248,64,248,142,248,183,248,201,248,
255,248,68,249,103,249,133,249,192,249,4,250,88,250,219,250,106,251,204,251,23,252,122,252,236,252,73,253,146,253,200,253,
229,253,6,254,81,254,176,254,238,254,5,255,21,255,41,255,63,255,95,255,132,255,154,255,177,255,227,255,31,0,82,0,
139,0,206,0,246,0,251,0,14,1,75,1,155,1,240,1,69,2,132,2,175,2,234,2,53,3,82,3,52,3,25,3,
33,3,45,3,48,3,63,3,86,3,103,3,130,3,185,3,252,3,55,4,112,4,172,4,216,4,247,4,34,5,104,5,
175,5,218,5,244,5,23,6,72,6,121,6,160,6,185,6,208,6,246,6,35,7,56,7,52,7,54,7,66,7,64,7,
51,7,42,7,43,7,61,7,106,7,171,7,230,7,19,8,59,8,87,8,81,8,40,8,244,7,215,7,216,7,235,7,
249,7,240,7,214,7,196,7,188,7,157,7,99,7,38,7,231,6,158,6,106,6,93,6,91,6,76,6,52,6,11,6,
218,5,200,5,207,5,180,5,112,5,56,5,29,5,7,5,239,4,213,4,169,4,99,4,12,4,177,3,94,3,31,3,
245,2,210,2,164,2,105,2,60,2,44,2,20,2,211,1,140,1,107,1,86,1,52,1,27,1,17,1,251,0,221,0,
205,0,175,0,104,0,36,0,251,255,191,255,90,255,244,254,169,254,117,254,85,254,66,254,35,254,237,253,170,253,104,253,
61,253,48,253,30,253,235,252,170,252,117,252,83,252,82,252,94,252,53,252,209,251,133,251,121,251,134,251,132,251,77,251,
193,250,34,250,209,249,189,249,142,249,63,249,251,248,198,248,165,248,170,248,179,248,142,248,62,248,224,247,145,247,103,247,
97,247,95,247,71,247,26,247,237,246,218,246,207,246,153,246,54,246,220,245,145,245,57,245,233,244,189,244,164,244,158,244,
192,244,234,244,241,244,234,244,218,244,159,244,83,244,54,244,61,244,66,244,111,244,229,244,112,245,224,245,44,246,61,246,
12,246,205,245,165,245,137,245,127,245,150,245,199,245,28,246,173,246,73,247,158,247,182,247,205,247,242,247,42,248,127,248,
210,248,21,249,125,249,37,250,220,250,135,251,34,252,116,252,99,252,71,252,104,252,180,252,12,253,107,253,190,253,12,254,
128,254,255,254,50,255,251,254,164,254,142,254,215,254,71,255,174,255,29,0,162,0,35,1,159,1,38,2,137,2,167,2,
185,2,227,2,14,3,81,3,214,3,98,4,178,4,242,4,74,5,158,5,231,5,46,6,75,6,70,6,126,6,12,7,
165,7,24,8,103,8,152,8,205,8,60,9,223,9,138,10,56,11,236,11,136,12,255,12,97,13,164,13,182,13,167,13,
152,13,172,13,9,14,166,14,68,15,183,15,3,16,50,16,72,16,69,16,18,16,179,15,124,15,162,15,238,15,55,16,
160,16,33,17,120,17,163,17,172,17,90,17,189,16,75,16,32,16,236,15,179,15,174,15,179,15,139,15,87,15,29,15,
166,14,238,13,51,13,154,12,45,12,255,11,0,12,251,11,212,11,165,11,127,11,65,11,207,10,69,10,205,9,105,9,
31,9,9,9,10,9,234,8,179,8,120,8,12,8,105,7,204,6,55,6,123,5,194,4,79,4,8,4,211,3,191,3,
165,3,79,3,235,2,164,2,72,2,201,1,102,1,24,1,166,0,53,0,252,255,205,255,118,255,26,255,185,254,22,254,
70,253,152,252,12,252,111,251,208,250,77,250,197,249,46,249,177,248,78,248,208,247,45,247,139,246,250,245,122,245,28,245,
229,244,185,244,108,244,242,243,96,243,205,242,51,242,141,241,226,240,63,240,189,239,114,239,60,239,209,238,46,238,133,237,
227,236,58,236,141,235,217,234,37,234,181,233,179,233,211,233,208,233,188,233,148,233,51,233,192,232,133,232,117,232,89,232,
72,232,109,232,165,232,194,232,209,232,230,232,221,232,160,232,87,232,25,232,209,231,162,231,220,231,115,232,19,233,161,233,
27,234,81,234,85,234,131,234,214,234,249,234,9,235,98,235,2,236,182,236,120,237,40,238,139,238,178,238,225,238,29,239,
81,239,144,239,234,239,77,240,184,240,69,241,231,241,113,242,209,242,27,243,103,243,205,243,97,244,14,245,173,245,57,246,
210,246,134,247,64,248,223,248,75,249,142,249,212,249,60,250,183,250,51,251,175,251,37,252,132,252,206,252,33,253,147,253,
24,254,137,254,219,254,45,255,157,255,47,0,210,0,94,1,207,1,103,2,67,3,9,4,115,4,203,4,96,5,19,6,
173,6,38,7,127,7,199,7,45,8,182,8,51,9,146,9,250,9,131,10,25,11,163,11,38,12,170,12,26,13,112,13,
209,13,98,14,22,15,217,15,150,16,39,17,147,17,28,18,199,18,73,19,153,19,222,19,9,20,29,20,87,20,170,20,
205,20,227,20,56,21,152,21,173,21,154,21,154,21,161,21,155,21,145,21,135,21,141,21,191,21,5,22,37,22,21,22,
245,21,216,21,187,21,142,21,68,21,249,20,212,20,183,20,92,20,205,19,87,19,16,19,196,18,81,18,179,17,251,16,
96,16,3,16,186,15,97,15,24,15,236,14,176,14,104,14,43,14,199,13,22,13,94,12,219,11,128,11,71,11,43,11,
240,10,110,10,209,9,70,9,200,8,65,8,156,7,210,6,19,6,151,5,85,5,24,5,191,4,85,4,2,4,207,3,
147,3,51,3,191,2,61,2,175,1,47,1,203,0,126,0,80,0,41,0,200,255,47,255,164,254,44,254,152,253,239,252,
66,252,129,251,203,250,90,250,4,250,146,249,35,249,207,248,105,248,240,247,150,247,77,247,224,246,85,246,214,245,113,245,
46,245,3,245,198,244,90,244,212,243,85,243,227,242,122,242,11,242,139,241,22,241,218,240,196,240,157,240,98,240,49,240,
254,239,188,239,138,239,117,239,111,239,135,239,183,239,204,239,202,239,250,239,98,240,181,240,208,240,200,240,192,240,219,240,
29,241,90,241,126,241,168,241,214,241,250,241,48,242,137,242,228,242,47,243,106,243,160,243,247,243,140,244,35,245,139,245,
235,245,93,246,197,246,44,247,171,247,36,248,132,248,238,248,96,249,181,249,254,249,87,250,164,250,212,250,2,251,60,251,
128,251,221,251,89,252,218,252,64,253,130,253,173,253,218,253,37,254,139,254,240,254,68,255,164,255,44,0,187,0,33,1,
106,1,185,1,6,2,61,2,120,2,195,2,254,2,34,3,84,3,156,3,223,3,25,4,97,4,167,4,215,4,6,5,
82,5,168,5,248,5,96,6,224,6,63,7,132,7,237,7,107,8,197,8,250,8,34,9,57,9,92,9,178,9,27,10,
106,10,173,10,237,10,24,11,59,11,104,11,134,11,134,11,127,11,128,11,149,11,201,11,12,12,73,12,135,12,195,12,
243,12,32,13,64,13,63,13,50,13,59,13,66,13,43,13,19,13,16,13,17,13,16,13,255,12,200,12,128,12,77,12,
28,12,217,11,167,11,149,11,135,11,126,11,141,11,136,11,62,11,211,10,136,10,101,10,74,10,39,10,236,9,149,9,
76,9,52,9,45,9,253,8,168,8,63,8,194,7,81,7,9,7,198,6,108,6,34,6,242,5,176,5,111,5,85,5,
47,5,207,4,115,4,76,4,56,4,35,4,20,4,241,3,168,3,92,3,33,3,225,2,152,2,89,2,34,2,219,1,
130,1,54,1,3,1,198,0,108,0,34,0,252,255,206,255,126,255,37,255,203,254,119,254,76,254,64,254,27,254,216,253,
160,253,121,253,82,253,37,253,235,252,155,252,68,252,247,251,187,251,141,251,80,251,227,250,93,250,253,249,213,249,194,249,
159,249,94,249,20,249,225,248,201,248,180,248,144,248,91,248,28,248,233,247,212,247,213,247,208,247,179,247,133,247,94,247,
63,247,30,247,254,246,218,246,158,246,75,246,253,245,181,245,117,245,95,245,110,245,98,245,58,245,59,245,102,245,127,245,
117,245,102,245,98,245,107,245,132,245,169,245,205,245,228,245,240,245,5,246,38,246,75,246,130,246,195,246,208,246,182,246,
200,246,233,246,198,246,166,246,248,246,117,247,198,247,48,248,196,248,19,249,34,249,105,249,214,249,1,250,31,250,145,250,
28,251,110,251,199,251,89,252,212,252,12,253,89,253,229,253,82,254,111,254,119,254,145,254,183,254,10,255,153,255,40,0,
151,0,8,1,119,1,177,1,187,1,208,1,11,2,106,2,226,2,103,3,235,3,101,4,204,4,27,5,76,5,93,5,
108,5,149,5,191,5,215,5,248,5,53,6,121,6,189,6,253,6,38,7,71,7,129,7,189,7,210,7,210,7,236,7,
40,8,122,8,217,8,60,9,150,9,218,9,2,10,20,10,27,10,28,10,45,10,87,10,121,10,137,10,170,10,209,10,
209,10,191,10,194,10,192,10,181,10,197,10,222,10,216,10,223,10,27,11,83,11,86,11,66,11,61,11,76,11,96,11,
87,11,39,11,243,10,221,10,221,10,222,10,195,10,121,10,28,10,218,9,161,9,68,9,215,8,136,8,73,8,253,7,
190,7,165,7,138,7,63,7,221,6,126,6,17,6,168,5,113,5,73,5,242,4,142,4,78,4,7,4,149,3,42,3,
216,2,121,2,9,2,166,1,76,1,232,0,117,0,255,255,150,255,55,255,209,254,121,254,80,254,41,254,201,253,86,253,
8,253,207,252,145,252,93,252,52,252,3,252,197,251,113,251,247,250,113,250,17,250,213,249,135,249,8,249,127,248,29,248,
218,247,139,247,35,247,160,246,7,246,130,245,26,245,147,244,223,243,52,243,138,242,199,241,85,241,140,241,236,241,216,241,
86,241,135,240,98,239,51,238,83,237,159,236,252,235,199,235,39,236,174,236,251,236,17,237,223,236,61,236,92,235,170,234,
59,234,218,233,135,233,110,233,140,233,225,233,147,234,125,235,17,236,6,236,161,235,38,235,173,234,104,234,129,234,225,234,
120,235,111,236,186,237,201,238,27,239,212,238,104,238,4,238,209,237,56,238,72,239,105,240,52,241,214,241,104,242,189,242,
217,242,210,242,163,242,132,242,213,242,137,243,75,244,255,244,177,245,92,246,6,247,161,247,245,247,231,247,153,247,54,247,
245,246,40,247,241,247,14,249,29,250,227,250,93,251,154,251,146,251,66,251,219,250,156,250,168,250,30,251,0,252,10,253,
233,253,138,254,233,254,11,255,31,255,82,255,163,255,17,0,163,0,72,1,241,1,161,2,77,3,236,3,137,4,19,5,
121,5,224,5,90,6,178,6,242,6,127,7,83,8,253,8,103,9,226,9,120,10,245,10,88,11,168,11,211,11,21,12,
221,12,7,14,246,14,126,15,226,15,17,16,230,15,193,15,0,16,108,16,204,16,74,17,226,17,81,18,153,18,187,18,
119,18,212,17,94,17,104,17,190,17,13,18,37,18,255,17,201,17,191,17,243,17,52,18,55,18,236,17,150,17,100,17,
53,17,1,17,230,16,212,16,179,16,163,16,163,16,124,16,49,16,217,15,83,15,179,14,116,14,175,14,231,14,201,14,
103,14,231,13,122,13,65,13,9,13,162,12,86,12,128,12,228,12,2,13,201,12,127,12,44,12,181,11,74,11,35,11,
16,11,206,10,121,10,49,10,221,9,143,9,122,9,102,9,255,8,112,8,15,8,203,7,116,7,18,7,177,6,83,6,
23,6,8,6,231,5,134,5,12,5,165,4,61,4,200,3,105,3,26,3,175,2,55,2,220,1,121,1,236,0,98,0,
243,255,106,255,208,254,103,254,32,254,193,253,75,253,221,252,122,252,32,252,200,251,92,251,235,250,142,250,58,250,240,249,
191,249,141,249,81,249,51,249,27,249,202,248,89,248,247,247,120,247,216,246,119,246,104,246,90,246,63,246,50,246,23,246,
228,245,197,245,182,245,140,245,82,245,48,245,28,245,4,245,251,244,25,245,74,245,102,245,108,245,118,245,119,245,84,245,
40,245,24,245,14,245,246,244,252,244,57,245,115,245,122,245,96,245,72,245,50,245,31,245,46,245,110,245,196,245,19,246,
81,246,114,246,111,246,112,246,141,246,166,246,171,246,197,246,7,247,89,247,165,247,223,247,251,247,14,248,43,248,62,248,
69,248,102,248,162,248,207,248,236,248,34,249,131,249,253,249,112,250,201,250,15,251,76,251,127,251,179,251,243,251,62,252,
169,252,55,253,167,253,225,253,47,254,156,254,211,254,220,254,15,255,96,255,151,255,221,255,83,0,188,0,246,0,39,1,
105,1,191,1,42,2,150,2,241,2,67,3,143,3,214,3,37,4,109,4,146,4,185,4,7,5,81,5,134,5,219,5,
67,6,100,6,65,6,62,6,112,6,155,6,175,6,189,6,189,6,189,6,228,6,33,7,58,7,74,7,148,7,236,7,
250,7,221,7,223,7,233,7,209,7,188,7,205,7,245,7,43,8,88,8,78,8,17,8,228,7,223,7,220,7,195,7,
157,7,142,7,175,7,223,7,242,7,235,7,216,7,180,7,150,7,160,7,187,7,195,7,199,7,228,7,20,8,65,8,
89,8,99,8,111,8,89,8,253,7,155,7,133,7,156,7,167,7,185,7,225,7,3,8,24,8,23,8,223,7,130,7,
61,7,26,7,254,6,239,6,255,6,53,7,125,7,160,7,117,7,36,7,233,6,182,6,100,6,255,5,174,5,136,5,
126,5,103,5,50,5,246,4,177,4,74,4,211,3,112,3,27,3,203,2,147,2,112,2,71,2,30,2,253,1,200,1,
110,1,14,1,184,0,88,0,253,255,211,255,195,255,141,255,52,255,223,254,124,254,252,253,146,253,65,253,217,252,119,252,
82,252,60,252,7,252,237,251,240,251,187,251,96,251,43,251,252,250,176,250,138,250,161,250,170,250,153,250,156,250,155,250,
121,250,90,250,75,250,30,250,200,249,115,249,57,249,20,249,3,249,11,249,25,249,11,249,224,248,189,248,155,248,92,248,
25,248,246,247,216,247,182,247,189,247,221,247,217,247,200,247,209,247,198,247,129,247,40,247,215,246,132,246,57,246,9,246,
229,245,190,245,164,245,160,245,165,245,156,245,121,245,69,245,22,245,250,244,245,244,243,244,224,244,213,244,2,245,89,245,
154,245,169,245,153,245,133,245,123,245,129,245,153,245,208,245,28,246,92,246,124,246,152,246,200,246,3,247,55,247,99,247,
146,247,207,247,35,248,153,248,36,249,146,249,224,249,82,250,238,250,103,251,185,251,33,252,133,252,187,252,255,252,117,253,
226,253,58,254,179,254,56,255,166,255,24,0,136,0,197,0,227,0,25,1,106,1,226,1,138,2,31,3,110,3,184,3,
56,4,200,4,58,5,136,5,187,5,238,5,76,6,198,6,39,7,107,7,185,7,33,8,140,8,236,8,69,9,143,9,
186,9,211,9,250,9,55,10,138,10,249,10,115,11,215,11,46,12,132,12,185,12,193,12,210,12,2,13,50,13,101,13,
190,13,44,14,120,14,151,14,163,14,165,14,155,14,148,14,168,14,206,14,235,14,253,14,15,15,19,15,8,15,13,15,
31,15,34,15,30,15,33,15,21,15,239,14,201,14,171,14,150,14,146,14,139,14,97,14,37,14,248,13,204,13,131,13,
25,13,178,12,130,12,125,12,86,12,251,11,159,11,63,11,192,10,88,10,36,10,224,9,122,9,43,9,224,8,88,8,
184,7,63,7,221,6,120,6,24,6,178,5,55,5,178,4,38,4,144,3,245,2,81,2,173,1,37,1,182,0,66,0,
211,255,119,255,247,254,53,254,132,253,31,253,189,252,19,252,76,251,175,250,57,250,222,249,163,249,98,249,230,248,87,248,
240,247,126,247,188,246,228,245,73,245,212,244,93,244,242,243,155,243,64,243,216,242,95,242,202,241,28,241,102,240,185,239,
43,239,181,238,62,238,226,237,202,237,203,237,152,237,45,237,164,236,247,235,47,235,108,234,199,233,98,233,103,233,202,233,
64,234,116,234,86,234,33,234,252,233,175,233,23,233,145,232,105,232,116,232,138,232,204,232,56,233,153,233,213,233,232,233,
213,233,184,233,167,233,156,233,131,233,112,233,181,233,157,234,205,235,119,236,110,236,69,236,55,236,27,236,37,236,126,236,
208,236,35,237,31,238,161,239,137,240,136,240,108,240,136,240,112,240,68,240,157,240,74,241,188,241,50,242,29,243,22,244,
180,244,82,245,3,246,16,246,124,245,107,245,77,246,54,247,154,247,15,248,19,249,79,250,96,251,44,252,121,252,42,252,
206,251,7,252,161,252,54,253,17,254,80,255,58,0,127,0,221,0,176,1,85,2,115,2,111,2,147,2,5,3,249,3,
44,5,248,5,81,6,199,6,148,7,104,8,242,8,29,9,41,9,116,9,19,10,199,10,106,11,8,12,161,12,25,13,
100,13,148,13,192,13,241,13,56,14,150,14,231,14,54,15,214,15,184,16,59,17,51,17,61,17,148,17,189,17,163,17,
197,17,47,18,144,18,237,18,75,19,87,19,19,19,18,19,116,19,153,19,55,19,231,18,21,19,69,19,12,19,209,18,
239,18,3,19,189,18,124,18,128,18,132,18,120,18,145,18,140,18,13,18,143,17,185,17,22,18,185,17,218,16,103,16,
109,16,103,16,104,16,139,16,71,16,146,15,55,15,60,15,191,14,198,13,48,13,5,13,186,12,141,12,233,12,71,13,
237,12,17,12,87,11,230,10,149,10,89,10,20,10,130,9,209,8,175,8,38,9,76,9,169,8,217,7,81,7,211,6,
71,6,214,5,92,5,190,4,73,4,27,4,243,3,202,3,179,3,89,3,109,2,81,1,168,0,145,0,160,0,99,0,
201,255,49,255,10,255,51,255,16,255,79,254,81,253,150,252,59,252,34,252,22,252,204,251,66,251,214,250,161,250,90,250,
2,250,212,249,132,249,189,248,247,247,196,247,218,247,178,247,104,247,57,247,15,247,233,246,240,246,224,246,87,246,170,245,
122,245,159,245,122,245,36,245,24,245,52,245,22,245,229,244,208,244,152,244,57,244,21,244,52,244,67,244,53,244,49,244,
49,244,30,244,11,244,31,244,93,244,134,244,99,244,46,244,70,244,157,244,239,244,44,245,70,245,46,245,32,245,80,245,
126,245,107,245,69,245,72,245,125,245,237,245,134,246,247,246,8,247,224,246,204,246,251,246,101,247,209,247,12,248,33,248,
83,248,220,248,169,249,77,250,115,250,76,250,86,250,177,250,19,251,77,251,119,251,174,251,246,251,97,252,242,252,114,253,
168,253,180,253,202,253,236,253,38,254,157,254,46,255,141,255,205,255,50,0,182,0,37,1,105,1,136,1,164,1,230,1,
81,2,195,2,29,3,82,3,120,3,185,3,17,4,85,4,141,4,214,4,9,5,18,5,42,5,122,5,221,5,57,6,
128,6,160,6,175,6,228,6,59,7,128,7,158,7,185,7,255,7,109,8,197,8,228,8,240,8,12,9,48,9,88,9,
116,9,107,9,107,9,174,9,253,9,6,10,248,9,29,10,88,10,128,10,157,10,165,10,145,10,137,10,159,10,180,10,
195,10,222,10,244,10,235,10,215,10,218,10,248,10,15,11,248,10,186,10,139,10,137,10,155,10,153,10,123,10,83,10,
45,10,17,10,254,9,226,9,182,9,162,9,172,9,143,9,57,9,252,8,248,8,230,8,170,8,111,8,64,8,23,8,
7,8,253,7,197,7,108,7,29,7,219,6,166,6,129,6,73,6,244,5,172,5,111,5,39,5,249,4,248,4,219,4,
122,4,17,4,204,3,164,3,134,3,90,3,18,3,197,2,135,2,83,2,27,2,212,1,127,1,58,1,7,1,201,0,
151,0,152,0,143,0,50,0,170,255,56,255,221,254,164,254,144,254,96,254,255,253,204,253,238,253,8,254,211,253,114,253,
18,253,188,252,122,252,84,252,42,252,221,251,138,251,113,251,134,251,132,251,90,251,40,251,227,250,131,250,65,250,62,250,
60,250,14,250,208,249,151,249,101,249,73,249,75,249,66,249,16,249,221,248,218,248,249,248,2,249,225,248,168,248,111,248,
69,248,36,248,241,247,193,247,200,247,237,247,232,247,220,247,6,248,42,248,254,247,166,247,66,247,216,246,178,246,251,246,
85,247,124,247,169,247,226,247,233,247,200,247,163,247,102,247,26,247,8,247,60,247,129,247,200,247,28,248,110,248,164,248,
181,248,178,248,168,248,144,248,109,248,99,248,126,248,172,248,8,249,176,249,91,250,191,250,246,250,28,251,9,251,207,250,
197,250,12,251,129,251,11,252,156,252,32,253,152,253,6,254,80,254,93,254,78,254,101,254,175,254,247,254,41,255,119,255,
254,255,135,0,222,0,23,1,87,1,151,1,186,1,193,1,205,1,255,1,77,2,160,2,244,2,67,3,134,3,196,3,
246,3,0,4,238,3,239,3,8,4,31,4,68,4,140,4,211,4,229,4,210,4,204,4,228,4,0,5,21,5,44,5,
53,5,50,5,83,5,159,5,197,5,169,5,140,5,134,5,132,5,167,5,242,5,5,6,220,5,229,5,36,6,52,6,
24,6,14,6,252,5,213,5,214,5,0,6,20,6,22,6,30,6,254,5,177,5,146,5,191,5,225,5,194,5,139,5,
111,5,119,5,156,5,189,5,163,5,70,5,221,4,144,4,80,4,19,4,225,3,169,3,90,3,28,3,15,3,9,3,
223,2,154,2,62,2,185,1,29,1,167,0,91,0,250,255,121,255,30,255,5,255,235,254,168,254,81,254,229,253,87,253,
203,252,80,252,170,251,206,250,13,250,141,249,24,249,152,248,59,248,31,248,31,248,255,247,156,247,247,246,33,246,62,245,
136,244,23,244,203,243,165,243,193,243,247,243,251,243,213,243,154,243,30,243,89,242,154,241,8,241,151,240,85,240,71,240,
57,240,30,240,49,240,119,240,156,240,103,240,249,239,148,239,85,239,61,239,87,239,165,239,13,240,128,240,10,241,136,241,
182,241,160,241,131,241,96,241,54,241,96,241,17,242,210,242,46,243,68,243,95,243,122,243,126,243,112,243,80,243,50,243,
92,243,221,243,109,244,235,244,122,245,251,245,55,246,103,246,193,246,2,247,255,246,0,247,36,247,84,247,174,247,61,248,
165,248,195,248,224,248,5,249,251,248,208,248,184,248,173,248,178,248,245,248,120,249,6,250,123,250,220,250,63,251,153,251,
209,251,253,251,75,252,186,252,61,253,227,253,144,254,255,254,72,255,179,255,50,0,158,0,19,1,155,1,5,2,72,2,
139,2,234,2,110,3,251,3,96,4,175,4,43,5,217,5,130,6,23,7,162,7,37,8,188,8,119,9,51,10,208,10,
63,11,110,11,119,11,174,11,43,12,175,12,30,13,132,13,212,13,4,14,47,14,76,14,48,14,245,13,222,13,244,13,
29,14,103,14,202,14,5,15,2,15,3,15,40,15,76,15,96,15,111,15,98,15,67,15,82,15,124,15,113,15,77,15,
87,15,92,15,27,15,201,14,149,14,91,14,29,14,17,14,42,14,52,14,38,14,20,14,254,13,214,13,160,13,133,13,
143,13,150,13,156,13,218,13,48,14,65,14,34,14,21,14,241,13,160,13,117,13,114,13,65,13,247,12,223,12,217,12,
179,12,142,12,108,12,33,12,195,11,133,11,77,11,247,10,160,10,111,10,89,10,70,10,61,10,62,10,15,10,143,9,
14,9,206,8,141,8,30,8,189,7,106,7,225,6,80,6,1,6,181,5,48,5,183,4,88,4,201,3,46,3,221,2,
159,2,31,2,146,1,54,1,232,0,150,0,99,0,59,0,227,255,115,255,36,255,235,254,169,254,108,254,56,254,237,253,
135,253,45,253,233,252,157,252,66,252,235,251,161,251,110,251,91,251,88,251,67,251,8,251,181,250,116,250,91,250,85,250,
78,250,72,250,43,250,238,249,209,249,244,249,12,250,238,249,202,249,167,249,91,249,16,249,5,249,11,249,234,248,193,248,
172,248,144,248,109,248,93,248,82,248,39,248,229,247,188,247,196,247,222,247,243,247,15,248,36,248,12,248,226,247,222,247,
221,247,165,247,105,247,102,247,112,247,96,247,94,247,121,247,133,247,112,247,72,247,24,247,247,246,251,246,14,247,10,247,
243,246,236,246,14,247,67,247,104,247,122,247,142,247,159,247,169,247,197,247,232,247,243,247,250,247,26,248,48,248,43,248,
71,248,141,248,181,248,189,248,230,248,48,249,112,249,173,249,235,249,4,250,11,250,62,250,144,250,205,250,12,251,111,251,
210,251,40,252,140,252,231,252,18,253,61,253,140,253,193,253,195,253,230,253,75,254,162,254,200,254,251,254,87,255,186,255,
19,0,97,0,147,0,167,0,192,0,244,0,55,1,131,1,220,1,49,2,105,2,136,2,168,2,204,2,231,2,250,2,
11,3,28,3,53,3,87,3,104,3,94,3,80,3,80,3,86,3,96,3,115,3,127,3,125,3,119,3,116,3,116,3,
135,3,175,3,213,3,226,3,207,3,172,3,147,3,146,3,162,3,182,3,197,3,208,3,230,3,3,4,254,3,199,3,
145,3,125,3,118,3,119,3,158,3,231,3,36,4,75,4,107,4,131,4,152,4,194,4,241,4,251,4,239,4,13,5,
79,5,116,5,127,5,163,5,214,5,231,5,220,5,211,5,195,5,174,5,167,5,161,5,139,5,133,5,168,5,204,5,
206,5,186,5,157,5,125,5,103,5,100,5,103,5,102,5,101,5,102,5,95,5,70,5,28,5,239,4,189,4,114,4,
23,4,203,3,166,3,169,3,177,3,135,3,40,3,213,2,166,2,119,2,65,2,16,2,214,1,154,1,134,1,148,1,
149,1,138,1,133,1,119,1,89,1,65,1,54,1,26,1,223,0,158,0,128,0,133,0,144,0,144,0,133,0,98,0,
62,0,67,0,76,0,25,0,210,255,190,255,199,255,205,255,231,255,13,0,17,0,6,0,13,0,15,0,4,0,6,0,
6,0,235,255,203,255,173,255,125,255,84,255,72,255,52,255,6,255,237,254,242,254,236,254,205,254,169,254,124,254,54,254,
238,253,203,253,210,253,234,253,4,254,29,254,28,254,242,253,190,253,154,253,116,253,74,253,54,253,45,253,18,253,245,252,
228,252,200,252,160,252,131,252,117,252,102,252,84,252,71,252,61,252,31,252,223,251,171,251,191,251,255,251,30,252,19,252,
253,251,213,251,162,251,139,251,143,251,131,251,107,251,113,251,153,251,176,251,144,251,66,251,237,250,170,250,137,250,174,250,
32,251,150,251,188,251,145,251,80,251,55,251,93,251,158,251,214,251,10,252,69,252,133,252,201,252,7,253,32,253,40,253,
84,253,166,253,251,253,87,254,175,254,212,254,203,254,212,254,16,255,135,255,42,0,172,0,217,0,235,0,41,1,132,1,
214,1,28,2,90,2,165,2,25,3,150,3,221,3,230,3,216,3,222,3,27,4,134,4,235,4,44,5,77,5,64,5,
8,5,220,4,221,4,255,4,56,5,129,5,190,5,222,5,238,5,238,5,206,5,152,5,117,5,126,5,170,5,209,5,
215,5,202,5,195,5,196,5,190,5,178,5,184,5,214,5,230,5,195,5,140,5,116,5,118,5,128,5,151,5,176,5,
189,5,212,5,2,6,35,6,44,6,62,6,86,6,96,6,118,6,161,6,180,6,167,6,157,6,145,6,113,6,103,6,
145,6,198,6,218,6,193,6,119,6,18,6,214,5,210,5,192,5,122,5,47,5,12,5,3,5,248,4,209,4,115,4,
239,3,133,3,72,3,18,3,212,2,147,2,34,2,109,1,188,0,70,0,225,255,101,255,217,254,61,254,163,253,58,253,
239,252,108,252,169,251,237,250,77,250,186,249,64,249,199,248,28,248,100,247,247,246,208,246,179,246,149,246,99,246,218,245,
254,244,46,244,159,243,59,243,252,242,227,242,196,242,147,242,124,242,123,242,72,242,214,241,100,241,19,241,213,240,176,240,
158,240,125,240,85,240,77,240,90,240,95,240,111,240,144,240,140,240,90,240,47,240,21,240,245,239,245,239,55,240,138,240,
188,240,212,240,209,240,163,240,108,240,92,240,118,240,165,240,244,240,104,241,227,241,46,242,48,242,8,242,236,241,249,241,
54,242,145,242,224,242,14,243,58,243,134,243,242,243,119,244,247,244,51,245,43,245,44,245,76,245,93,245,116,245,194,245,
36,246,130,246,27,247,248,247,165,248,224,248,225,248,218,248,219,248,8,249,117,249,248,249,110,250,237,250,124,251,249,251,
93,252,202,252,58,253,122,253,154,253,231,253,109,254,232,254,61,255,142,255,232,255,88,0,246,0,160,1,27,2,110,2,
196,2,28,3,128,3,13,4,168,4,33,5,138,5,248,5,84,6,168,6,22,7,127,7,205,7,48,8,196,8,90,9,
219,9,85,10,178,10,216,10,235,10,18,11,76,11,154,11,9,12,123,12,210,12,28,13,102,13,159,13,200,13,247,13,
37,14,62,14,83,14,117,14,151,14,174,14,194,14,209,14,223,14,4,15,57,15,82,15,72,15,49,15,15,15,238,14,
240,14,18,15,39,15,28,15,248,14,190,14,135,14,117,14,128,14,137,14,135,14,119,14,92,14,74,14,61,14,18,14,
203,13,135,13,76,13,42,13,54,13,83,13,73,13,24,13,229,12,188,12,156,12,127,12,77,12,254,11,169,11,105,11,
72,11,60,11,35,11,245,10,204,10,164,10,108,10,55,10,252,9,136,9,245,8,150,8,101,8,47,8,10,8,243,7,
164,7,41,7,207,6,136,6,38,6,205,5,130,5,15,5,131,4,39,4,239,3,171,3,80,3,224,2,93,2,238,1,
171,1,111,1,25,1,174,0,65,0,225,255,154,255,96,255,31,255,204,254,94,254,225,253,119,253,41,253,226,252,156,252,
93,252,34,252,252,251,250,251,235,251,154,251,37,251,200,250,132,250,68,250,11,250,220,249,178,249,150,249,140,249,128,249,
106,249,74,249,25,249,221,248,175,248,141,248,92,248,39,248,16,248,7,248,237,247,223,247,241,247,241,247,192,247,139,247,
108,247,72,247,26,247,247,246,223,246,214,246,235,246,4,247,250,246,215,246,186,246,167,246,159,246,160,246,149,246,124,246,
108,246,113,246,138,246,176,246,201,246,196,246,184,246,192,246,217,246,251,246,21,247,11,247,236,246,236,246,14,247,57,247,
103,247,135,247,137,247,153,247,219,247,33,248,62,248,74,248,82,248,84,248,119,248,198,248,14,249,62,249,116,249,170,249,
215,249,23,250,104,250,162,250,194,250,227,250,18,251,90,251,173,251,224,251,245,251,31,252,105,252,183,252,9,253,84,253,
124,253,147,253,191,253,253,253,72,254,170,254,1,255,43,255,77,255,140,255,216,255,35,0,106,0,144,0,166,0,235,0,
91,1,179,1,233,1,27,2,65,2,90,2,140,2,216,2,17,3,45,3,77,3,129,3,189,3,246,3,28,4,53,4,
85,4,133,4,181,4,225,4,8,5,32,5,38,5,48,5,83,5,131,5,172,5,201,5,213,5,211,5,216,5,237,5,
253,5,246,5,234,5,242,5,11,6,36,6,45,6,36,6,26,6,27,6,33,6,36,6,41,6,44,6,35,6,21,6,
14,6,15,6,19,6,25,6,27,6,23,6,20,6,22,6,25,6,22,6,4,6,231,5,203,5,184,5,170,5,156,5,
126,5,85,5,79,5,111,5,122,5,91,5,65,5,57,5,34,5,3,5,239,4,209,4,164,4,138,4,127,4,104,4,
84,4,75,4,46,4,254,3,216,3,187,3,159,3,132,3,88,3,16,3,200,2,150,2,112,2,85,2,51,2,230,1,
142,1,105,1,88,1,32,1,225,0,188,0,136,0,63,0,16,0,231,255,154,255,65,255,3,255,213,254,184,254,185,254,
177,254,113,254,18,254,201,253,158,253,122,253,73,253,11,253,210,252,185,252,197,252,212,252,183,252,111,252,33,252,225,251,
188,251,193,251,214,251,193,251,137,251,113,251,129,251,137,251,121,251,83,251,23,251,223,250,202,250,201,250,190,250,180,250,
179,250,175,250,170,250,171,250,156,250,113,250,52,250,248,249,212,249,228,249,17,250,42,250,42,250,45,250,49,250,37,250,
15,250,236,249,183,249,143,249,163,249,226,249,24,250,58,250,80,250,74,250,42,250,35,250,59,250,65,250,58,250,86,250,
137,250,173,250,212,250,15,251,54,251,55,251,57,251,72,251,91,251,121,251,157,251,181,251,223,251,58,252,155,252,200,252,
205,252,204,252,210,252,232,252,13,253,51,253,95,253,161,253,238,253,51,254,102,254,129,254,141,254,158,254,177,254,193,254,
233,254,50,255,103,255,110,255,122,255,183,255,12,0,76,0,110,0,126,0,132,0,146,0,189,0,2,1,60,1,99,1,
153,1,231,1,46,2,107,2,165,2,205,2,228,2,17,3,89,3,162,3,230,3,34,4,72,4,124,4,236,4,118,5,
214,5,18,6,68,6,101,6,127,6,176,6,235,6,20,7,68,7,167,7,62,8,223,8,93,9,162,9,179,9,168,9,
163,9,179,9,204,9,240,9,60,10,169,10,4,11,74,11,155,11,219,11,208,11,149,11,106,11,84,11,66,11,70,11,
95,11,123,11,164,11,226,11,17,12,16,12,236,11,184,11,114,11,32,11,235,10,232,10,252,10,13,11,39,11,66,11,
54,11,0,11,186,10,89,10,227,9,147,9,125,9,116,9,115,9,139,9,140,9,80,9,7,9,202,8,106,8,245,7,
180,7,160,7,138,7,118,7,104,7,56,7,236,6,185,6,147,6,64,6,204,5,111,5,39,5,205,4,108,4,43,4,
253,3,187,3,100,3,14,3,174,2,49,2,164,1,22,1,135,0,19,0,212,255,165,255,81,255,221,254,105,254,248,253,
122,253,251,252,131,252,8,252,132,251,17,251,187,250,94,250,222,249,76,249,185,248,34,248,164,247,94,247,36,247,181,246,
36,246,172,245,79,245,246,244,165,244,80,244,216,243,71,243,205,242,116,242,37,242,216,241,143,241,68,241,243,240,178,240,
127,240,52,240,197,239,81,239,224,238,98,238,252,237,201,237,145,237,50,237,242,236,237,236,216,236,167,236,148,236,123,236,
37,236,211,235,205,235,215,235,195,235,184,235,188,235,180,235,191,235,3,236,80,236,106,236,96,236,88,236,99,236,130,236,
185,236,240,236,251,236,233,236,4,237,106,237,228,237,77,238,178,238,4,239,56,239,116,239,198,239,5,240,69,240,180,240,
51,241,163,241,46,242,206,242,54,243,114,243,208,243,66,244,157,244,239,244,64,245,122,245,198,245,77,246,224,246,91,247,
232,247,135,248,0,249,76,249,148,249,219,249,23,250,99,250,220,250,131,251,68,252,254,252,142,253,248,253,95,254,202,254,
29,255,79,255,137,255,239,255,123,0,19,1,163,1,28,2,116,2,197,2,46,3,171,3,34,4,133,4,216,4,41,5,
149,5,54,6,248,6,159,7,9,8,80,8,170,8,37,9,164,9,13,10,94,10,166,10,6,11,145,11,50,12,176,12,
229,12,227,12,232,12,34,13,129,13,214,13,14,14,62,14,133,14,238,14,97,15,187,15,243,15,5,16,238,15,216,15,
9,16,117,16,202,16,230,16,227,16,225,16,253,16,53,17,74,17,23,17,213,16,178,16,157,16,150,16,161,16,146,16,
92,16,55,16,54,16,54,16,45,16,25,16,220,15,130,15,66,15,46,15,47,15,42,15,5,15,197,14,156,14,134,14,
80,14,2,14,184,13,93,13,250,12,205,12,199,12,145,12,39,12,188,11,96,11,11,11,190,10,110,10,34,10,239,9,
194,9,126,9,55,9,9,9,224,8,168,8,101,8,10,8,146,7,25,7,175,6,85,6,14,6,209,5,134,5,46,5,
216,4,122,4,17,4,172,3,69,3,194,2,44,2,176,1,102,1,52,1,248,0,170,0,92,0,20,0,202,255,128,255,
57,255,223,254,116,254,28,254,230,253,175,253,104,253,22,253,172,252,43,252,189,251,118,251,63,251,9,251,199,250,104,250,
8,250,218,249,193,249,126,249,27,249,197,248,118,248,52,248,37,248,45,248,6,248,191,247,151,247,135,247,113,247,105,247,
88,247,250,246,113,246,32,246,15,246,9,246,14,246,18,246,229,245,165,245,158,245,185,245,180,245,154,245,131,245,102,245,
97,245,158,245,239,245,14,246,5,246,251,245,255,245,38,246,113,246,173,246,183,246,174,246,192,246,244,246,56,247,110,247,
135,247,138,247,157,247,227,247,64,248,107,248,101,248,132,248,216,248,40,249,120,249,231,249,66,250,97,250,134,250,208,250,
20,251,84,251,171,251,246,251,33,252,90,252,174,252,235,252,9,253,42,253,99,253,178,253,7,254,72,254,117,254,162,254,
213,254,7,255,51,255,87,255,138,255,233,255,94,0,190,0,10,1,77,1,126,1,176,1,3,2,87,2,131,2,162,2,
204,2,231,2,1,3,67,3,159,3,230,3,34,4,103,4,163,4,214,4,9,5,37,5,30,5,40,5,120,5,249,5,
122,6,213,6,6,7,37,7,77,7,130,7,187,7,250,7,56,8,102,8,139,8,183,8,225,8,247,8,255,8,4,9,
14,9,44,9,102,9,167,9,206,9,220,9,231,9,252,9,28,10,63,10,79,10,67,10,48,10,42,10,36,10,28,10,
46,10,85,10,106,10,100,10,87,10,57,10,246,9,154,9,61,9,234,8,178,8,169,8,196,8,217,8,191,8,121,8,
40,8,219,7,137,7,61,7,5,7,212,6,165,6,134,6,105,6,59,6,3,6,192,5,95,5,249,4,180,4,124,4,
53,4,233,3,151,3,60,3,233,2,165,2,98,2,35,2,229,1,148,1,55,1,239,0,182,0,126,0,92,0,78,0,
44,0,237,255,161,255,73,255,232,254,136,254,46,254,233,253,205,253,192,253,150,253,77,253,241,252,140,252,53,252,238,251,
157,251,73,251,16,251,236,250,197,250,157,250,114,250,54,250,245,249,189,249,131,249,67,249,17,249,239,248,201,248,147,248,
84,248,17,248,206,247,135,247,63,247,6,247,211,246,143,246,61,246,247,245,195,245,156,245,135,245,124,245,101,245,64,245,
38,245,27,245,16,245,255,244,231,244,205,244,200,244,233,244,18,245,29,245,11,245,241,244,216,244,202,244,207,244,219,244,
224,244,228,244,242,244,2,245,18,245,55,245,120,245,182,245,228,245,29,246,116,246,205,246,23,247,90,247,141,247,191,247,
29,248,160,248,4,249,61,249,127,249,204,249,3,250,49,250,109,250,171,250,232,250,54,251,136,251,191,251,225,251,10,252,
70,252,141,252,217,252,49,253,151,253,254,253,91,254,167,254,228,254,42,255,142,255,244,255,65,0,141,0,223,0,29,1,
90,1,177,1,240,1,1,2,36,2,98,2,122,2,130,2,211,2,95,3,213,3,44,4,126,4,208,4,28,5,90,5,
125,5,148,5,202,5,63,6,227,6,136,7,22,8,163,8,48,9,139,9,168,9,187,9,216,9,236,9,4,10,50,10,
104,10,178,10,52,11,203,11,45,12,92,12,130,12,155,12,150,12,151,12,190,12,239,12,38,13,145,13,38,14,137,14,
163,14,171,14,164,14,115,14,72,14,80,14,98,14,108,14,144,14,158,14,88,14,9,14,243,13,188,13,51,13,213,12,
213,12,204,12,163,12,172,12,210,12,196,12,167,12,164,12,117,12,10,12,186,11,139,11,48,11,191,10,134,10,119,10,
102,10,89,10,58,10,209,9,53,9,173,8,55,8,179,7,57,7,231,6,165,6,97,6,50,6,19,6,209,5,99,5,
246,4,157,4,80,4,27,4,253,3,200,3,95,3,218,2,96,2,7,2,190,1,85,1,197,0,62,0,215,255,122,255,
30,255,176,254,17,254,102,253,246,252,170,252,66,252,203,251,85,251,205,250,76,250,7,250,231,249,181,249,105,249,10,249,
149,248,33,248,181,247,56,247,152,246,241,245,120,245,76,245,62,245,2,245,135,244,238,243,83,243,204,242,99,242,245,241,
114,241,1,241,175,240,83,240,238,239,168,239,126,239,88,239,48,239,7,239,211,238,145,238,62,238,222,237,124,237,34,237,
206,236,129,236,45,236,202,235,116,235,54,235,246,234,180,234,154,234,169,234,196,234,222,234,227,234,181,234,99,234,34,234,
15,234,35,234,87,234,163,234,246,234,72,235,150,235,213,235,243,235,250,235,8,236,30,236,36,236,39,236,89,236,189,236,
30,237,102,237,185,237,45,238,165,238,245,238,26,239,58,239,131,239,2,240,168,240,91,241,19,242,207,242,123,243,253,243,
90,244,178,244,18,245,107,245,191,245,52,246,224,246,158,247,54,248,163,248,244,248,48,249,107,249,194,249,44,250,147,250,
250,250,105,251,231,251,143,252,79,253,213,253,18,254,80,254,162,254,232,254,54,255,164,255,13,0,112,0,253,0,162,1,
29,2,107,2,152,2,143,2,103,2,129,2,254,2,134,3,214,3,37,4,168,4,58,5,179,5,36,6,120,6,148,6,
190,6,53,7,194,7,56,8,192,8,85,9,202,9,62,10,210,10,83,11,163,11,230,11,37,12,100,12,192,12,44,13,
126,13,204,13,54,14,160,14,237,14,56,15,145,15,225,15,32,16,104,16,204,16,52,17,119,17,159,17,201,17,242,17,
15,18,48,18,83,18,105,18,125,18,144,18,138,18,106,18,63,18,6,18,196,17,143,17,100,17,61,17,32,17,250,16,
186,16,130,16,111,16,84,16,9,16,168,15,76,15,248,14,174,14,115,14,68,14,23,14,227,13,159,13,78,13,245,12,
143,12,26,12,166,11,72,11,8,11,221,10,177,10,119,10,48,10,226,9,143,9,59,9,237,8,159,8,89,8,47,8,
27,8,255,7,216,7,180,7,129,7,55,7,239,6,167,6,62,6,200,5,110,5,32,5,215,4,188,4,191,4,156,4,
82,4,243,3,109,3,222,2,126,2,37,2,168,1,69,1,34,1,12,1,234,0,198,0,116,0,225,255,78,255,221,254,
117,254,16,254,185,253,88,253,226,252,119,252,39,252,222,251,136,251,43,251,197,250,75,250,210,249,122,249,39,249,180,248,
78,248,37,248,16,248,226,247,168,247,95,247,247,246,150,246,89,246,34,246,234,245,199,245,167,245,112,245,59,245,28,245,
252,244,204,244,155,244,121,244,111,244,122,244,140,244,142,244,103,244,50,244,52,244,113,244,172,244,212,244,251,244,20,245,
37,245,77,245,123,245,133,245,131,245,158,245,215,245,38,246,118,246,168,246,189,246,214,246,255,246,56,247,129,247,183,247,
205,247,241,247,55,248,138,248,243,248,107,249,182,249,221,249,37,250,131,250,178,250,185,250,200,250,230,250,25,251,114,251,
210,251,23,252,83,252,151,252,209,252,247,252,10,253,14,253,31,253,88,253,169,253,1,254,106,254,205,254,7,255,58,255,
149,255,243,255,42,0,88,0,139,0,176,0,229,0,69,1,165,1,229,1,32,2,91,2,143,2,209,2,21,3,55,3,
78,3,131,3,206,3,41,4,149,4,242,4,57,5,142,5,230,5,32,6,91,6,167,6,230,6,45,7,150,7,238,7,
38,8,105,8,170,8,197,8,226,8,30,9,65,9,53,9,48,9,72,9,109,9,152,9,189,9,216,9,246,9,27,10,
56,10,62,10,40,10,12,10,17,10,58,10,102,10,135,10,163,10,173,10,159,10,143,10,133,10,109,10,66,10,33,10,
18,10,243,9,191,9,153,9,133,9,105,9,92,9,106,9,83,9,8,9,216,8,202,8,159,8,120,8,133,8,137,8,
102,8,92,8,102,8,75,8,29,8,247,7,189,7,131,7,120,7,117,7,73,7,12,7,217,6,155,6,74,6,245,5,
175,5,134,5,103,5,60,5,10,5,219,4,169,4,133,4,114,4,82,4,27,4,226,3,161,3,75,3,6,3,219,2,
168,2,107,2,64,2,20,2,208,1,133,1,53,1,207,0,96,0,254,255,155,255,55,255,236,254,182,254,129,254,83,254,
42,254,240,253,176,253,124,253,62,253,241,252,184,252,133,252,53,252,236,251,205,251,169,251,107,251,63,251,15,251,191,250,
133,250,109,250,43,250,190,249,109,249,50,249,241,248,203,248,185,248,133,248,65,248,24,248,2,248,247,247,252,247,231,247,
165,247,90,247,36,247,15,247,18,247,252,246,186,246,132,246,121,246,119,246,118,246,120,246,78,246,250,245,195,245,192,245,
187,245,151,245,103,245,77,245,102,245,157,245,190,245,186,245,174,245,172,245,179,245,195,245,220,245,238,245,245,245,7,246,
61,246,132,246,193,246,246,246,18,247,247,246,217,246,8,247,98,247,166,247,236,247,78,248,166,248,245,248,64,249,92,249,
88,249,146,249,3,250,99,250,193,250,67,251,194,251,45,252,164,252,17,253,87,253,159,253,5,254,92,254,132,254,175,254,
14,255,151,255,38,0,187,0,89,1,222,1,44,2,84,2,102,2,117,2,181,2,60,3,213,3,89,4,224,4,116,5,
248,5,93,6,146,6,141,6,132,6,194,6,67,7,205,7,62,8,143,8,195,8,239,8,32,9,91,9,167,9,0,10,
61,10,70,10,73,10,135,10,246,10,87,11,145,11,185,11,236,11,40,12,74,12,47,12,0,12,253,11,40,12,106,12,
197,12,31,13,66,13,55,13,26,13,230,12,175,12,166,12,191,12,198,12,200,12,225,12,5,13,36,13,53,13,33,13,
226,12,153,12,111,12,110,12,111,12,68,12,0,12,203,11,157,11,109,11,71,11,25,11,205,10,130,10,65,10,231,9,
141,9,80,9,2,9,145,8,65,8,22,8,211,7,111,7,252,6,113,6,223,5,112,5,46,5,4,5,206,4,106,4,
230,3,93,3,198,2,45,2,187,1,92,1,229,0,119,0,45,0,228,255,149,255,73,255,212,254,29,254,99,253,211,252,
98,252,4,252,175,251,84,251,252,250,190,250,150,250,112,250,45,250,178,249,9,249,89,248,196,247,100,247,66,247,51,247,
11,247,204,246,125,246,19,246,144,245,252,244,80,244,150,243,247,242,152,242,123,242,129,242,118,242,60,242,222,241,122,241,
15,241,127,240,175,239,164,238,137,237,186,236,148,236,250,236,102,237,134,237,95,237,225,236,21,236,88,235,205,234,59,234,
194,233,198,233,47,234,152,234,221,234,234,234,168,234,85,234,53,234,23,234,203,233,133,233,95,233,59,233,64,233,185,233,
127,234,41,235,143,235,180,235,144,235,64,235,240,234,165,234,126,234,241,234,38,236,146,237,157,238,50,239,113,239,110,239,
60,239,248,238,219,238,53,239,10,240,13,241,12,242,233,242,112,243,173,243,239,243,72,244,153,244,225,244,6,245,249,244,
17,245,157,245,121,246,120,247,123,248,53,249,138,249,217,249,65,250,118,250,87,250,27,250,45,250,9,251,159,252,9,254,
138,254,92,254,36,254,54,254,135,254,218,254,25,255,118,255,15,0,203,0,154,1,93,2,204,2,215,2,187,2,207,2,
107,3,146,4,165,5,27,6,67,6,185,6,157,7,161,8,91,9,148,9,164,9,7,10,156,10,254,10,60,11,151,11,
26,12,215,12,207,13,159,14,242,14,255,14,8,15,2,15,17,15,141,15,95,16,29,17,181,17,55,18,121,18,129,18,
155,18,186,18,178,18,219,18,124,19,37,20,104,20,90,20,23,20,187,19,158,19,178,19,123,19,12,19,247,18,59,19,
85,19,38,19,230,18,184,18,173,18,178,18,137,18,41,18,208,17,138,17,50,17,237,16,8,17,95,17,128,17,58,17,
180,16,28,16,159,15,69,15,209,14,44,14,195,13,221,13,29,14,21,14,199,13,59,13,118,12,218,11,173,11,163,11,
102,11,28,11,236,10,190,10,154,10,163,10,165,10,68,10,156,9,14,9,163,8,76,8,65,8,92,8,8,8,94,7,
18,7,27,7,214,6,63,6,145,5,181,4,243,3,217,3,30,4,36,4,251,3,200,3,88,3,220,2,168,2,109,2,
212,1,39,1,164,0,75,0,59,0,104,0,90,0,220,255,64,255,210,254,133,254,44,254,164,253,237,252,60,252,208,251,
182,251,184,251,148,251,65,251,218,250,114,250,25,250,210,249,128,249,29,249,225,248,221,248,235,248,250,248,241,248,145,248,
2,248,172,247,135,247,79,247,25,247,4,247,224,246,174,246,162,246,163,246,116,246,49,246,5,246,235,245,227,245,253,245,
6,246,214,245,166,245,193,245,13,246,76,246,107,246,98,246,47,246,15,246,50,246,91,246,80,246,60,246,73,246,105,246,
153,246,195,246,165,246,58,246,237,245,8,246,111,246,221,246,25,247,9,247,215,246,206,246,11,247,94,247,130,247,100,247,
72,247,125,247,2,248,141,248,219,248,217,248,170,248,154,248,231,248,108,249,180,249,130,249,50,249,62,249,174,249,69,250,
203,250,7,251,253,250,13,251,101,251,189,251,243,251,37,252,77,252,113,252,209,252,113,253,255,253,71,254,85,254,75,254,
109,254,221,254,87,255,148,255,165,255,196,255,12,0,113,0,197,0,238,0,15,1,61,1,122,1,210,1,50,2,102,2,
117,2,165,2,3,3,97,3,149,3,165,3,180,3,220,3,18,4,74,4,130,4,167,4,184,4,224,4,33,5,77,5,
99,5,105,5,73,5,41,5,84,5,175,5,226,5,229,5,223,5,231,5,10,6,45,6,30,6,243,5,236,5,27,6,
99,6,153,6,152,6,126,6,126,6,132,6,111,6,103,6,109,6,74,6,23,6,18,6,40,6,58,6,97,6,133,6,
119,6,91,6,94,6,88,6,42,6,248,5,213,5,193,5,209,5,6,6,53,6,74,6,76,6,43,6,226,5,160,5,
134,5,118,5,83,5,44,5,13,5,247,4,251,4,20,5,25,5,241,4,171,4,108,4,85,4,85,4,51,4,235,3,
171,3,135,3,120,3,135,3,155,3,127,3,56,3,229,2,133,2,49,2,19,2,7,2,209,1,134,1,85,1,63,1,
52,1,25,1,206,0,113,0,56,0,24,0,238,255,195,255,156,255,114,255,80,255,51,255,17,255,251,254,238,254,199,254,
140,254,88,254,40,254,241,253,188,253,133,253,81,253,60,253,63,253,47,253,3,253,213,252,186,252,179,252,168,252,128,252,
78,252,49,252,42,252,51,252,58,252,31,252,242,251,233,251,6,252,21,252,3,252,226,251,194,251,164,251,133,251,109,251,
103,251,93,251,64,251,56,251,76,251,80,251,76,251,89,251,78,251,30,251,14,251,38,251,41,251,25,251,15,251,0,251,
6,251,47,251,68,251,48,251,39,251,35,251,5,251,243,250,253,250,244,250,227,250,236,250,240,250,233,250,9,251,66,251,
90,251,85,251,72,251,55,251,74,251,142,251,193,251,191,251,190,251,229,251,37,252,111,252,170,252,175,252,133,252,104,252,
111,252,137,252,168,252,190,252,197,252,206,252,231,252,9,253,47,253,84,253,86,253,45,253,24,253,56,253,94,253,122,253,
166,253,208,253,228,253,12,254,76,254,106,254,96,254,83,254,61,254,26,254,23,254,49,254,71,254,100,254,145,254,172,254,
167,254,153,254,145,254,149,254,161,254,169,254,179,254,213,254,6,255,52,255,99,255,141,255,174,255,217,255,8,0,39,0,
71,0,123,0,175,0,214,0,251,0,42,1,120,1,212,1,1,2,234,1,203,1,208,1,250,1,78,2,187,2,22,3,
92,3,161,3,219,3,5,4,35,4,50,4,66,4,125,4,223,4,73,5,175,5,3,6,60,6,113,6,179,6,237,6,
28,7,55,7,41,7,6,7,1,7,37,7,109,7,203,7,19,8,56,8,100,8,154,8,166,8,136,8,102,8,86,8,
106,8,179,8,28,9,131,9,204,9,208,9,152,9,99,9,91,9,122,9,169,9,180,9,139,9,114,9,137,9,152,9,
140,9,128,9,98,9,44,9,23,9,33,9,7,9,209,8,176,8,160,8,166,8,229,8,47,9,49,9,248,8,187,8,
114,8,24,8,227,7,228,7,224,7,195,7,175,7,151,7,85,7,4,7,200,6,132,6,38,6,218,5,176,5,130,5,
77,5,37,5,238,4,141,4,27,4,189,3,139,3,119,3,82,3,250,2,136,2,26,2,174,1,66,1,231,0,148,0,
41,0,168,255,52,255,205,254,94,254,241,253,151,253,45,253,170,252,65,252,231,251,82,251,141,250,222,249,76,249,217,248,
166,248,140,248,65,248,216,247,109,247,221,246,54,246,179,245,55,245,145,244,242,243,144,243,92,243,54,243,6,243,178,242,
55,242,173,241,50,241,219,240,133,240,255,239,115,239,37,239,10,239,8,239,31,239,31,239,223,238,151,238,103,238,36,238,
213,237,166,237,129,237,85,237,76,237,109,237,154,237,196,237,199,237,128,237,43,237,28,237,65,237,94,237,107,237,120,237,
161,237,5,238,149,238,16,239,88,239,125,239,132,239,113,239,109,239,166,239,19,240,137,240,254,240,112,241,198,241,0,242,
59,242,105,242,116,242,145,242,227,242,55,243,118,243,197,243,35,244,140,244,25,245,166,245,242,245,47,246,165,246,40,247,
117,247,167,247,240,247,104,248,35,249,2,250,168,250,242,250,22,251,78,251,163,251,2,252,100,252,214,252,91,253,235,253,
136,254,42,255,168,255,235,255,14,0,67,0,178,0,109,1,79,2,9,3,113,3,194,3,71,4,248,4,139,5,223,5,
23,6,91,6,186,6,40,7,134,7,205,7,37,8,168,8,59,9,183,9,15,10,67,10,76,10,49,10,42,10,126,10,
30,11,185,11,48,12,146,12,213,12,7,13,81,13,137,13,120,13,109,13,170,13,245,13,60,14,161,14,230,14,216,14,
204,14,229,14,215,14,176,14,185,14,202,14,183,14,166,14,172,14,195,14,2,15,79,15,112,15,125,15,146,15,134,15,
96,15,78,15,68,15,57,15,81,15,128,15,151,15,164,15,189,15,185,15,125,15,48,15,4,15,7,15,30,15,21,15,
227,14,175,14,143,14,125,14,113,14,109,14,111,14,112,14,105,14,94,14,80,14,56,14,30,14,9,14,228,13,179,13,
157,13,166,13,163,13,135,13,88,13,11,13,169,12,81,12,255,11,184,11,135,11,73,11,225,10,136,10,103,10,81,10,
34,10,236,9,177,9,111,9,53,9,250,8,167,8,75,8,252,7,197,7,176,7,173,7,135,7,35,7,155,6,23,6,
172,5,91,5,9,5,168,4,80,4,14,4,212,3,145,3,64,3,226,2,122,2,17,2,189,1,143,1,118,1,68,1,
237,0,146,0,77,0,17,0,194,255,92,255,235,254,114,254,250,253,149,253,63,253,233,252,139,252,19,252,119,251,231,250,
135,250,40,250,160,249,15,249,153,248,61,248,252,247,187,247,85,247,213,246,84,246,190,245,38,245,185,244,91,244,227,243,
116,243,28,243,185,242,86,242,246,241,97,241,147,240,201,239,25,239,127,238,23,238,230,237,211,237,209,237,196,237,136,237,
40,237,184,236,70,236,241,235,199,235,172,235,171,235,222,235,18,236,40,236,75,236,125,236,142,236,138,236,133,236,97,236,
47,236,38,236,63,236,106,236,198,236,86,237,244,237,131,238,235,238,17,239,9,239,15,239,75,239,194,239,93,240,4,241,
175,241,73,242,185,242,0,243,54,243,101,243,163,243,5,244,115,244,216,244,65,245,157,245,209,245,2,246,91,246,195,246,
22,247,81,247,118,247,159,247,235,247,75,248,156,248,254,248,153,249,78,250,232,250,89,251,160,251,192,251,211,251,8,252,
114,252,248,252,122,253,243,253,96,254,179,254,243,254,67,255,179,255,46,0,162,0,33,1,192,1,98,2,229,2,86,3,
202,3,57,4,185,4,115,5,80,6,25,7,209,7,127,8,255,8,96,9,227,9,128,10,0,11,101,11,197,11,35,12,
144,12,12,13,114,13,195,13,42,14,174,14,40,15,137,15,210,15,255,15,25,16,64,16,147,16,9,17,122,17,208,17,
16,18,62,18,82,18,73,18,46,18,17,18,5,18,10,18,25,18,48,18,44,18,236,17,148,17,87,17,45,17,19,17,
22,17,12,17,221,16,198,16,206,16,176,16,124,16,104,16,80,16,26,16,250,15,236,15,198,15,161,15,139,15,91,15,
35,15,16,15,255,14,189,14,92,14,244,13,134,13,38,13,234,12,200,12,172,12,140,12,108,12,71,12,3,12,164,11,
91,11,39,11,219,10,140,10,95,10,40,10,218,9,175,9,135,9,20,9,128,8,10,8,140,7,251,6,143,6,54,6,
184,5,56,5,229,4,151,4,47,4,189,3,62,3,168,2,31,2,178,1,65,1,206,0,121,0,45,0,205,255,118,255,
48,255,207,254,72,254,190,253,53,253,166,252,39,252,177,251,46,251,185,250,107,250,22,250,164,249,63,249,247,248,174,248,
94,248,1,248,132,247,250,246,155,246,102,246,42,246,211,245,118,245,43,245,241,244,183,244,108,244,5,244,126,243,249,242,
137,242,7,242,79,241,143,240,244,239,127,239,58,239,42,239,34,239,253,238,183,238,74,238,194,237,79,237,248,236,146,236,
48,236,30,236,99,236,195,236,14,237,32,237,228,236,128,236,55,236,4,236,179,235,74,235,240,234,175,234,168,234,14,235,
171,235,27,236,102,236,163,236,138,236,34,236,243,235,11,236,18,236,69,236,7,237,16,238,0,239,216,239,98,240,98,240,
53,240,54,240,61,240,63,240,131,240,9,241,160,241,72,242,243,242,110,243,179,243,220,243,235,243,218,243,195,243,206,243,
28,244,184,244,162,245,199,246,225,247,171,248,46,249,138,249,161,249,112,249,70,249,97,249,186,249,89,250,67,251,56,252,
242,252,114,253,193,253,217,253,210,253,212,253,226,253,0,254,83,254,245,254,193,255,145,0,101,1,53,2,215,2,75,3,
183,3,33,4,122,4,212,4,75,5,223,5,138,6,67,7,229,7,84,8,157,8,221,8,22,9,66,9,119,9,220,9,
99,10,218,10,67,11,186,11,44,12,125,12,186,12,237,12,22,13,107,13,9,14,171,14,18,15,79,15,142,15,216,15,
25,16,50,16,38,16,29,16,24,16,254,15,235,15,251,15,17,16,23,16,18,16,246,15,197,15,179,15,197,15,183,15,
118,15,60,15,54,15,84,15,122,15,142,15,118,15,64,15,29,15,28,15,19,15,254,14,253,14,243,14,166,14,63,14,
241,13,155,13,43,13,207,12,128,12,42,12,18,12,73,12,94,12,31,12,206,11,140,11,79,11,33,11,234,10,140,10,
54,10,27,10,32,10,28,10,20,10,6,10,219,9,135,9,20,9,145,8,6,8,127,7,23,7,208,6,137,6,79,6,
49,6,242,5,104,5,215,4,115,4,30,4,205,3,140,3,75,3,22,3,22,3,32,3,231,2,117,2,253,1,142,1,
42,1,202,0,97,0,3,0,204,255,170,255,129,255,75,255,2,255,159,254,33,254,142,253,8,253,184,252,139,252,88,252,
55,252,82,252,144,252,185,252,160,252,67,252,211,251,131,251,83,251,52,251,30,251,251,250,213,250,222,250,19,251,40,251,
246,250,152,250,50,250,237,249,225,249,234,249,205,249,145,249,114,249,144,249,214,249,29,250,68,250,66,250,38,250,18,250,
29,250,60,250,85,250,82,250,58,250,58,250,104,250,153,250,164,250,153,250,141,250,131,250,144,250,168,250,160,250,136,250,
146,250,159,250,144,250,151,250,190,250,214,250,237,250,36,251,81,251,93,251,107,251,109,251,78,251,66,251,100,251,122,251,
118,251,132,251,156,251,151,251,130,251,125,251,128,251,119,251,102,251,86,251,74,251,76,251,104,251,144,251,169,251,205,251,
9,252,45,252,37,252,35,252,53,252,68,252,99,252,153,252,187,252,207,252,251,252,32,253,35,253,48,253,83,253,93,253,
87,253,114,253,158,253,185,253,208,253,252,253,55,254,113,254,161,254,205,254,252,254,52,255,119,255,182,255,222,255,2,0,
59,0,105,0,124,0,160,0,211,0,234,0,240,0,0,1,2,1,255,0,26,1,42,1,26,1,37,1,64,1,39,1,
17,1,69,1,133,1,161,1,196,1,224,1,200,1,176,1,195,1,204,1,187,1,187,1,198,1,197,1,207,1,242,1,
8,2,247,1,211,1,176,1,133,1,73,1,18,1,249,0,247,0,7,1,57,1,123,1,165,1,196,1,237,1,247,1,
209,1,194,1,236,1,18,2,23,2,44,2,89,2,126,2,163,2,211,2,234,2,226,2,231,2,241,2,230,2,234,2,
13,3,24,3,14,3,54,3,135,3,183,3,204,3,242,3,18,4,32,4,58,4,92,4,107,4,118,4,146,4,174,4,
194,4,207,4,190,4,141,4,106,4,109,4,128,4,132,4,103,4,38,4,216,3,157,3,127,3,108,3,82,3,61,3,
58,3,62,3,52,3,29,3,0,3,215,2,156,2,100,2,80,2,90,2,76,2,25,2,244,1,237,1,212,1,157,1,
106,1,54,1,242,0,189,0,156,0,108,0,64,0,59,0,65,0,51,0,47,0,57,0,41,0,253,255,213,255,190,255,
181,255,185,255,188,255,182,255,181,255,188,255,186,255,156,255,100,255,44,255,2,255,222,254,191,254,174,254,152,254,107,254,
64,254,34,254,254,253,221,253,204,253,183,253,149,253,125,253,98,253,49,253,10,253,5,253,0,253,230,252,199,252,168,252,
134,252,100,252,52,252,252,251,218,251,188,251,110,251,12,251,212,250,188,250,161,250,140,250,120,250,91,250,81,250,93,250,
69,250,3,250,203,249,164,249,123,249,100,249,101,249,103,249,116,249,151,249,159,249,116,249,68,249,31,249,232,248,166,248,
129,248,111,248,92,248,92,248,128,248,165,248,171,248,170,248,185,248,190,248,164,248,141,248,147,248,156,248,175,248,238,248,
67,249,125,249,169,249,199,249,176,249,126,249,124,249,157,249,168,249,171,249,198,249,238,249,38,250,117,250,180,250,198,250,
200,250,211,250,226,250,249,250,40,251,113,251,196,251,24,252,112,252,193,252,240,252,4,253,21,253,25,253,8,253,23,253,
92,253,160,253,204,253,253,253,36,254,46,254,65,254,88,254,59,254,16,254,37,254,102,254,154,254,206,254,17,255,73,255,
126,255,195,255,248,255,4,0,3,0,3,0,5,0,30,0,86,0,145,0,197,0,9,1,81,1,107,1,98,1,102,1,
126,1,141,1,159,1,213,1,31,2,105,2,182,2,10,3,86,3,148,3,192,3,223,3,12,4,86,4,169,4,243,4,
60,5,131,5,197,5,22,6,119,6,194,6,230,6,4,7,47,7,88,7,122,7,159,7,194,7,221,7,13,8,99,8,
199,8,26,9,89,9,129,9,140,9,138,9,138,9,142,9,162,9,204,9,249,9,33,10,84,10,145,10,196,10,216,10,
187,10,129,10,93,10,91,10,79,10,49,10,36,10,37,10,43,10,65,10,85,10,79,10,64,10,43,10,251,9,191,9,
152,9,135,9,138,9,173,9,213,9,230,9,229,9,206,9,146,9,68,9,2,9,214,8,194,8,187,8,184,8,190,8,
183,8,132,8,69,8,24,8,213,7,120,7,65,7,44,7,7,7,230,6,221,6,199,6,167,6,144,6,83,6,230,5,
148,5,98,5,23,5,185,4,108,4,36,4,231,3,189,3,128,3,27,3,168,2,44,2,152,1,10,1,165,0,91,0,
9,0,157,255,37,255,196,254,127,254,50,254,203,253,79,253,206,252,94,252,12,252,181,251,57,251,169,250,39,250,190,249,
101,249,13,249,174,248,70,248,204,247,70,247,213,246,132,246,38,246,175,245,74,245,6,245,192,244,116,244,61,244,10,244,
181,243,82,243,17,243,234,242,175,242,99,242,34,242,236,241,195,241,178,241,160,241,112,241,60,241,12,241,193,240,110,240,
70,240,48,240,11,240,0,240,24,240,26,240,13,240,34,240,58,240,36,240,10,240,24,240,42,240,47,240,77,240,133,240,
177,240,210,240,249,240,15,241,16,241,43,241,96,241,122,241,126,241,150,241,176,241,182,241,208,241,8,242,49,242,86,242,
150,242,204,242,234,242,36,243,122,243,186,243,230,243,19,244,52,244,93,244,170,244,243,244,31,245,91,245,186,245,19,246,
88,246,133,246,147,246,152,246,189,246,249,246,57,247,129,247,209,247,35,248,132,248,0,249,134,249,231,249,15,250,38,250,
96,250,192,250,58,251,195,251,56,252,154,252,34,253,211,253,101,254,204,254,42,255,103,255,134,255,207,255,69,0,166,0,
2,1,138,1,32,2,176,2,75,3,211,3,36,4,95,4,163,4,238,4,84,5,225,5,105,6,219,6,80,7,203,7,
57,8,153,8,224,8,6,9,43,9,107,9,174,9,226,9,29,10,104,10,177,10,238,10,37,11,83,11,112,11,131,11,
147,11,165,11,191,11,234,11,25,12,69,12,130,12,207,12,6,13,22,13,18,13,255,12,234,12,0,13,66,13,120,13,
154,13,210,13,20,14,48,14,35,14,6,14,223,13,198,13,222,13,18,14,61,14,104,14,161,14,210,14,229,14,234,14,
238,14,232,14,221,14,214,14,209,14,216,14,3,15,64,15,95,15,96,15,106,15,124,15,121,15,84,15,21,15,203,14,
142,14,113,14,111,14,110,14,93,14,62,14,29,14,236,13,154,13,65,13,253,12,185,12,102,12,43,12,23,12,254,11,
200,11,119,11,9,11,152,10,75,10,15,10,188,9,99,9,30,9,213,8,119,8,18,8,164,7,45,7,206,6,145,6,
79,6,239,5,136,5,52,5,237,4,161,4,80,4,1,4,180,3,107,3,41,3,225,2,143,2,70,2,10,2,201,1,
137,1,87,1,23,1,191,0,110,0,37,0,204,255,124,255,68,255,253,254,157,254,78,254,28,254,230,253,159,253,67,253,
220,252,143,252,105,252,71,252,22,252,218,251,133,251,20,251,180,250,114,250,50,250,232,249,154,249,72,249,249,248,188,248,
126,248,42,248,209,247,133,247,59,247,232,246,154,246,86,246,15,246,198,245,153,245,136,245,109,245,64,245,29,245,6,245,
228,244,199,244,183,244,148,244,95,244,61,244,46,244,34,244,46,244,72,244,68,244,46,244,46,244,56,244,53,244,64,244,
93,244,110,244,124,244,160,244,198,244,220,244,255,244,60,245,118,245,173,245,247,245,71,246,133,246,179,246,224,246,17,247,
79,247,158,247,226,247,13,248,65,248,145,248,220,248,13,249,65,249,132,249,204,249,37,250,141,250,213,250,237,250,6,251,
63,251,133,251,206,251,42,252,146,252,243,252,78,253,168,253,239,253,27,254,64,254,102,254,139,254,198,254,44,255,149,255,
219,255,10,0,62,0,120,0,187,0,6,1,64,1,104,1,156,1,217,1,15,2,72,2,141,2,204,2,21,3,124,3,
228,3,52,4,118,4,166,4,187,4,216,4,25,5,104,5,172,5,229,5,18,6,62,6,112,6,154,6,186,6,225,6,
18,7,68,7,129,7,203,7,1,8,19,8,24,8,44,8,82,8,126,8,176,8,235,8,34,9,67,9,82,9,86,9,
79,9,82,9,104,9,113,9,108,9,131,9,159,9,135,9,82,9,51,9,32,9,22,9,46,9,69,9,45,9,14,9,
1,9,225,8,178,8,161,8,150,8,110,8,75,8,61,8,34,8,244,7,200,7,151,7,98,7,63,7,40,7,243,6,
149,6,52,6,243,5,198,5,154,5,107,5,60,5,12,5,227,4,194,4,148,4,87,4,18,4,195,3,119,3,77,3,
55,3,14,3,215,2,167,2,107,2,33,2,233,1,182,1,104,1,23,1,224,0,174,0,115,0,65,0,14,0,198,255,
118,255,52,255,254,254,206,254,154,254,89,254,34,254,15,254,7,254,229,253,173,253,112,253,35,253,207,252,153,252,125,252,
74,252,255,251,199,251,170,251,149,251,137,251,124,251,80,251,11,251,203,250,141,250,80,250,42,250,26,250,13,250,5,250,
13,250,21,250,16,250,252,249,215,249,168,249,136,249,128,249,126,249,114,249,90,249,75,249,84,249,101,249,103,249,95,249,
86,249,70,249,55,249,53,249,46,249,22,249,2,249,6,249,31,249,75,249,120,249,147,249,151,249,144,249,141,249,153,249,
174,249,191,249,202,249,206,249,205,249,221,249,254,249,1,250,222,249,207,249,238,249,24,250,49,250,48,250,26,250,27,250,
64,250,87,250,81,250,95,250,138,250,177,250,213,250,246,250,252,250,250,250,13,251,28,251,36,251,89,251,180,251,238,251,
248,251,249,251,3,252,27,252,70,252,116,252,148,252,176,252,215,252,7,253,54,253,91,253,120,253,157,253,215,253,33,254,
103,254,151,254,189,254,227,254,255,254,21,255,67,255,129,255,175,255,212,255,251,255,13,0,24,0,66,0,103,0,89,0,
75,0,109,0,145,0,151,0,151,0,144,0,124,0,126,0,159,0,179,0,176,0,177,0,172,0,143,0,113,0,96,0,
73,0,42,0,15,0,236,255,190,255,159,255,144,255,100,255,8,255,170,254,108,254,53,254,243,253,179,253,128,253,87,253,
50,253,8,253,200,252,110,252,15,252,202,251,177,251,183,251,188,251,191,251,194,251,177,251,123,251,54,251,247,250,186,250,
134,250,110,250,118,250,134,250,133,250,105,250,75,250,67,250,70,250,59,250,30,250,254,249,227,249,207,249,212,249,255,249,
72,250,158,250,251,250,76,251,110,251,101,251,87,251,67,251,38,251,50,251,136,251,245,251,76,252,138,252,154,252,113,252,
74,252,72,252,73,252,80,252,129,252,197,252,243,252,28,253,74,253,98,253,100,253,116,253,154,253,195,253,231,253,6,254,
32,254,51,254,81,254,145,254,225,254,17,255,20,255,252,254,207,254,161,254,147,254,159,254,174,254,220,254,53,255,138,255,
190,255,213,255,196,255,152,255,146,255,190,255,254,255,81,0,190,0,26,1,76,1,110,1,149,1,198,1,251,1,37,2,
67,2,111,2,167,2,204,2,218,2,238,2,30,3,113,3,204,3,9,4,37,4,54,4,74,4,104,4,153,4,212,4,
18,5,94,5,182,5,1,6,51,6,73,6,69,6,63,6,86,6,133,6,192,6,248,6,23,7,25,7,17,7,255,6,
225,6,207,6,206,6,202,6,206,6,241,6,6,7,231,6,192,6,191,6,210,6,227,6,252,6,6,7,230,6,183,6,
162,6,152,6,133,6,131,6,152,6,158,6,140,6,125,6,111,6,76,6,30,6,249,5,218,5,208,5,233,5,255,5,
233,5,194,5,174,5,160,5,151,5,166,5,193,5,205,5,209,5,227,5,242,5,225,5,188,5,159,5,143,5,137,5,
143,5,152,5,149,5,139,5,132,5,117,5,89,5,65,5,35,5,237,4,185,4,166,4,166,4,165,4,169,4,170,4,
152,4,131,4,119,4,93,4,39,4,231,3,187,3,171,3,163,3,144,3,126,3,108,3,69,3,15,3,230,2,183,2,
114,2,56,2,22,2,240,1,205,1,193,1,178,1,142,1,110,1,81,1,44,1,11,1,238,0,192,0,152,0,161,0,
205,0,228,0,207,0,156,0,106,0,74,0,45,0,9,0,237,255,223,255,222,255,237,255,252,255,235,255,196,255,160,255,
130,255,104,255,88,255,80,255,76,255,83,255,93,255,97,255,105,255,115,255,114,255,105,255,91,255,64,255,39,255,28,255,
7,255,231,254,220,254,232,254,239,254,241,254,233,254,201,254,159,254,130,254,100,254,66,254,52,254,59,254,63,254,64,254,
65,254,55,254,51,254,64,254,70,254,55,254,41,254,38,254,27,254,0,254,230,253,220,253,227,253,245,253,6,254,15,254,
10,254,250,253,234,253,221,253,211,253,212,253,230,253,251,253,9,254,20,254,32,254,43,254,48,254,57,254,73,254,90,254,
103,254,123,254,148,254,156,254,142,254,137,254,147,254,151,254,151,254,163,254,172,254,169,254,172,254,185,254,183,254,171,254,
179,254,197,254,203,254,201,254,199,254,180,254,156,254,167,254,210,254,242,254,251,254,1,255,243,254,200,254,161,254,135,254,
97,254,66,254,73,254,81,254,59,254,46,254,55,254,44,254,9,254,238,253,218,253,209,253,225,253,238,253,216,253,184,253,
174,253,178,253,182,253,180,253,171,253,170,253,181,253,183,253,165,253,145,253,122,253,88,253,56,253,47,253,63,253,84,253,
80,253,53,253,48,253,75,253,103,253,115,253,113,253,91,253,68,253,73,253,104,253,140,253,168,253,185,253,200,253,234,253,
10,254,6,254,233,253,204,253,177,253,175,253,208,253,232,253,232,253,251,253,30,254,32,254,17,254,24,254,38,254,35,254,
35,254,56,254,90,254,130,254,160,254,173,254,181,254,204,254,234,254,245,254,223,254,192,254,194,254,231,254,10,255,33,255,
51,255,49,255,29,255,19,255,15,255,0,255,249,254,12,255,42,255,84,255,146,255,194,255,193,255,174,255,178,255,194,255,
205,255,226,255,3,0,28,0,48,0,86,0,125,0,129,0,113,0,114,0,126,0,138,0,165,0,199,0,207,0,196,0,
204,0,235,0,25,1,81,1,121,1,123,1,115,1,135,1,171,1,208,1,255,1,43,2,61,2,79,2,123,2,160,2,
151,2,126,2,120,2,122,2,130,2,172,2,230,2,251,2,233,2,218,2,224,2,237,2,245,2,240,2,226,2,231,2,
13,3,55,3,77,3,87,3,95,3,111,3,136,3,154,3,151,3,127,3,81,3,26,3,249,2,250,2,3,3,12,3,
28,3,38,3,27,3,13,3,249,2,209,2,165,2,139,2,127,2,128,2,148,2,177,2,203,2,235,2,13,3,31,3,
28,3,15,3,249,2,218,2,187,2,167,2,160,2,162,2,178,2,210,2,231,2,217,2,193,2,183,2,172,2,162,2,
179,2,207,2,225,2,252,2,29,3,38,3,49,3,82,3,91,3,66,3,67,3,105,3,139,3,163,3,179,3,165,3,
139,3,136,3,128,3,90,3,52,3,41,3,40,3,34,3,31,3,48,3,83,3,111,3,109,3,88,3,58,3,27,3,
15,3,18,3,10,3,0,3,16,3,47,3,60,3,51,3,24,3,237,2,191,2,144,2,100,2,74,2,57,2,27,2,
254,1,245,1,236,1,213,1,192,1,164,1,113,1,73,1,76,1,99,1,110,1,97,1,65,1,33,1,12,1,238,0,
188,0,144,0,112,0,79,0,50,0,37,0,23,0,245,255,198,255,140,255,62,255,230,254,158,254,111,254,65,254,14,254,
228,253,207,253,196,253,188,253,169,253,121,253,44,253,215,252,138,252,72,252,13,252,210,251,152,251,104,251,73,251,50,251,
17,251,214,250,134,250,49,250,213,249,118,249,53,249,21,249,238,248,185,248,149,248,127,248,92,248,59,248,35,248,5,248,
238,247,239,247,241,247,219,247,184,247,143,247,94,247,53,247,35,247,34,247,28,247,13,247,8,247,22,247,26,247,6,247,
243,246,234,246,217,246,195,246,187,246,181,246,180,246,205,246,237,246,250,246,11,247,51,247,88,247,104,247,106,247,89,247,
58,247,42,247,48,247,65,247,91,247,121,247,133,247,128,247,118,247,107,247,105,247,119,247,132,247,139,247,156,247,185,247,
212,247,228,247,225,247,219,247,247,247,45,248,80,248,101,248,140,248,182,248,211,248,250,248,36,249,47,249,42,249,58,249,
83,249,106,249,144,249,207,249,31,250,118,250,192,250,238,250,15,251,46,251,78,251,122,251,187,251,1,252,76,252,177,252,
44,253,159,253,252,253,65,254,113,254,157,254,209,254,10,255,69,255,134,255,206,255,28,0,114,0,217,0,72,1,160,1,
207,1,240,1,35,2,96,2,159,2,231,2,49,3,126,3,234,3,111,4,219,4,27,5,70,5,98,5,123,5,178,5,
14,6,103,6,170,6,228,6,29,7,77,7,119,7,166,7,212,7,235,7,246,7,21,8,79,8,150,8,224,8,30,9,
73,9,118,9,185,9,246,9,13,10,5,10,246,9,235,9,245,9,30,10,93,10,150,10,185,10,196,10,186,10,157,10,
124,10,100,10,63,10,0,10,217,9,239,9,19,10,25,10,18,10,4,10,231,9,213,9,208,9,171,9,101,9,37,9,
239,8,187,8,157,8,148,8,122,8,75,8,29,8,237,7,162,7,67,7,246,6,185,6,121,6,75,6,70,6,53,6,
237,5,161,5,119,5,73,5,17,5,241,4,214,4,167,4,135,4,115,4,56,4,222,3,147,3,88,3,37,3,255,2,
210,2,140,2,73,2,29,2,245,1,197,1,145,1,97,1,44,1,226,0,132,0,62,0,36,0,17,0,229,255,178,255,
142,255,114,255,71,255,253,254,151,254,43,254,210,253,147,253,99,253,54,253,17,253,243,252,193,252,113,252,28,252,204,251,
113,251,23,251,210,250,155,250,132,250,167,250,202,250,169,250,106,250,74,250,45,250,254,249,215,249,164,249,80,249,26,249,
42,249,75,249,92,249,118,249,136,249,113,249,83,249,76,249,58,249,22,249,9,249,19,249,40,249,110,249,237,249,88,250,
128,250,141,250,165,250,194,250,221,250,241,250,247,250,6,251,76,251,188,251,21,252,59,252,76,252,98,252,120,252,137,252,
160,252,182,252,189,252,199,252,243,252,72,253,172,253,249,253,36,254,58,254,75,254,93,254,120,254,156,254,187,254,211,254,
254,254,64,255,117,255,137,255,140,255,138,255,134,255,141,255,162,255,179,255,189,255,203,255,225,255,253,255,37,0,85,0,
125,0,155,0,187,0,228,0,23,1,83,1,133,1,164,1,206,1,25,2,106,2,155,2,177,2,193,2,230,2,48,3,
138,3,196,3,222,3,246,3,18,4,48,4,89,4,138,4,184,4,228,4,21,5,81,5,169,5,6,6,54,6,57,6,
60,6,93,6,157,6,229,6,6,7,2,7,21,7,80,7,133,7,153,7,133,7,81,7,37,7,35,7,50,7,56,7,
57,7,42,7,11,7,246,6,244,6,244,6,231,6,185,6,114,6,84,6,123,6,162,6,157,6,122,6,65,6,6,6,
249,5,9,6,238,5,157,5,75,5,28,5,19,5,20,5,250,4,195,4,144,4,101,4,61,4,24,4,237,3,180,3,
136,3,122,3,121,3,120,3,119,3,105,3,62,3,2,3,213,2,193,2,176,2,141,2,98,2,72,2,63,2,53,2,
15,2,202,1,132,1,88,1,51,1,0,1,204,0,160,0,123,0,92,0,59,0,19,0,242,255,217,255,175,255,121,255,
86,255,71,255,43,255,243,254,179,254,127,254,91,254,60,254,18,254,219,253,162,253,119,253,93,253,53,253,237,252,156,252,
98,252,70,252,66,252,56,252,14,252,212,251,166,251,122,251,81,251,66,251,58,251,21,251,233,250,215,250,217,250,219,250,
207,250,165,250,104,250,65,250,57,250,49,250,20,250,223,249,166,249,146,249,173,249,208,249,212,249,193,249,168,249,140,249,
114,249,100,249,97,249,96,249,95,249,108,249,142,249,187,249,225,249,234,249,195,249,133,249,108,249,139,249,176,249,175,249,
154,249,149,249,167,249,204,249,239,249,238,249,205,249,192,249,213,249,232,249,244,249,12,250,44,250,71,250,106,250,147,250,
175,250,197,250,215,250,211,250,199,250,220,250,15,251,57,251,88,251,115,251,132,251,146,251,170,251,185,251,183,251,198,251,
248,251,47,252,88,252,136,252,194,252,237,252,12,253,47,253,75,253,97,253,135,253,183,253,211,253,238,253,38,254,96,254,
137,254,180,254,219,254,246,254,30,255,72,255,71,255,61,255,105,255,173,255,212,255,0,0,73,0,145,0,204,0,5,1,
39,1,40,1,54,1,115,1,198,1,12,2,75,2,141,2,198,2,238,2,27,3,82,3,121,3,147,3,179,3,210,3,
252,3,76,4,166,4,223,4,22,5,116,5,218,5,35,6,82,6,103,6,99,6,110,6,164,6,238,6,57,7,142,7,
239,7,72,8,128,8,157,8,176,8,182,8,171,8,170,8,191,8,225,8,22,9,86,9,116,9,113,9,144,9,217,9,
13,10,24,10,23,10,17,10,4,10,11,10,47,10,71,10,67,10,71,10,101,10,116,10,95,10,71,10,56,10,27,10,
249,9,233,9,228,9,226,9,227,9,205,9,144,9,84,9,53,9,34,9,13,9,251,8,230,8,203,8,179,8,157,8,
133,8,109,8,77,8,34,8,236,7,167,7,101,7,58,7,11,7,193,6,131,6,100,6,68,6,22,6,233,5,172,5,
86,5,249,4,159,4,73,4,13,4,232,3,193,3,144,3,83,3,12,3,214,2,178,2,117,2,15,2,165,1,72,1,
245,0,178,0,112,0,14,0,157,255,66,255,250,254,184,254,116,254,19,254,132,253,248,252,153,252,81,252,7,252,194,251,
122,251,30,251,198,250,142,250,81,250,230,249,108,249,11,249,187,248,104,248,16,248,167,247,34,247,151,246,35,246,200,245,
115,245,23,245,178,244,65,244,197,243,84,243,5,243,193,242,105,242,10,242,190,241,122,241,57,241,0,241,182,240,70,240,
205,239,109,239,23,239,185,238,102,238,61,238,50,238,46,238,49,238,48,238,10,238,196,237,135,237,66,237,211,236,112,236,
87,236,103,236,133,236,210,236,51,237,96,237,95,237,93,237,72,237,32,237,15,237,11,237,241,236,230,236,28,237,120,237,
222,237,90,238,210,238,7,239,3,239,251,238,244,238,231,238,7,239,109,239,236,239,116,240,35,241,210,241,49,242,71,242,
87,242,116,242,155,242,232,242,91,243,207,243,55,244,183,244,80,245,207,245,27,246,89,246,156,246,214,246,22,247,105,247,
169,247,217,247,64,248,239,248,169,249,83,250,228,250,53,251,75,251,103,251,158,251,224,251,61,252,184,252,54,253,190,253,
93,254,232,254,58,255,105,255,146,255,207,255,49,0,170,0,29,1,140,1,4,2,128,2,248,2,116,3,247,3,112,4,
204,4,20,5,100,5,189,5,25,6,129,6,242,6,95,7,220,7,109,8,227,8,40,9,84,9,123,9,166,9,245,9,
99,10,203,10,42,11,151,11,0,12,82,12,162,12,253,12,74,13,123,13,170,13,229,13,27,14,73,14,136,14,199,14,
220,14,223,14,15,15,93,15,146,15,163,15,150,15,113,15,96,15,125,15,150,15,138,15,127,15,133,15,127,15,118,15,
135,15,156,15,150,15,139,15,147,15,142,15,102,15,62,15,35,15,236,14,157,14,116,14,103,14,60,14,4,14,238,13,
211,13,143,13,70,13,7,13,195,12,147,12,139,12,121,12,61,12,254,11,210,11,173,11,142,11,116,11,68,11,248,10,
179,10,132,10,82,10,15,10,206,9,149,9,88,9,27,9,234,8,179,8,103,8,19,8,192,7,108,7,38,7,250,6,
214,6,159,6,81,6,5,6,206,5,165,5,115,5,46,5,216,4,129,4,67,4,28,4,228,3,145,3,54,3,217,2,
121,2,43,2,232,1,148,1,49,1,205,0,103,0,18,0,226,255,185,255,115,255,23,255,189,254,111,254,49,254,241,253,
149,253,54,253,241,252,188,252,141,252,117,252,93,252,30,252,199,251,128,251,71,251,2,251,178,250,95,250,12,250,212,249,
213,249,242,249,243,249,215,249,188,249,163,249,132,249,105,249,74,249,26,249,253,248,17,249,68,249,110,249,130,249,134,249,
137,249,151,249,164,249,156,249,127,249,97,249,94,249,125,249,169,249,206,249,239,249,12,250,42,250,82,250,116,250,129,250,
142,250,164,250,183,250,223,250,56,251,147,251,187,251,200,251,227,251,4,252,24,252,38,252,64,252,105,252,149,252,190,252,
239,252,34,253,63,253,76,253,92,253,108,253,125,253,160,253,199,253,230,253,22,254,91,254,157,254,215,254,9,255,39,255,
57,255,85,255,111,255,128,255,156,255,197,255,233,255,23,0,88,0,145,0,178,0,197,0,209,0,223,0,255,0,43,1,
82,1,118,1,166,1,225,1,28,2,84,2,141,2,189,2,227,2,3,3,31,3,59,3,106,3,167,3,217,3,1,4,
48,4,85,4,100,4,117,4,136,4,135,4,129,4,140,4,164,4,195,4,222,4,231,4,248,4,39,5,76,5,63,5,
40,5,49,5,79,5,111,5,133,5,135,5,133,5,145,5,156,5,144,5,108,5,63,5,30,5,16,5,251,4,214,4,
183,4,166,4,148,4,130,4,114,4,88,4,49,4,1,4,200,3,155,3,143,3,143,3,124,3,94,3,71,3,56,3,
47,3,34,3,254,2,191,2,136,2,116,2,110,2,83,2,34,2,232,1,168,1,107,1,67,1,37,1,3,1,239,0,
231,0,209,0,180,0,175,0,179,0,159,0,122,0,81,0,41,0,18,0,22,0,19,0,247,255,228,255,244,255,5,0,
236,255,184,255,135,255,79,255,14,255,229,254,219,254,203,254,175,254,156,254,135,254,100,254,69,254,48,254,25,254,2,254,
227,253,186,253,169,253,178,253,161,253,108,253,65,253,40,253,8,253,241,252,229,252,195,252,133,252,76,252,43,252,23,252,
254,251,211,251,151,251,85,251,27,251,242,250,215,250,198,250,189,250,195,250,211,250,223,250,218,250,187,250,146,250,120,250,
110,250,100,250,97,250,109,250,127,250,142,250,155,250,164,250,157,250,132,250,100,250,69,250,50,250,53,250,75,250,88,250,
91,250,114,250,147,250,152,250,150,250,184,250,220,250,225,250,234,250,0,251,254,250,255,250,37,251,73,251,84,251,108,251,
134,251,122,251,94,251,94,251,106,251,116,251,129,251,137,251,132,251,134,251,158,251,186,251,190,251,178,251,180,251,215,251,
19,252,83,252,128,252,141,252,141,252,158,252,185,252,208,252,234,252,10,253,36,253,62,253,108,253,168,253,221,253,250,253,
253,253,0,254,31,254,94,254,168,254,233,254,26,255,86,255,176,255,17,0,81,0,111,0,134,0,171,0,228,0,47,1,
142,1,254,1,104,2,180,2,227,2,11,3,60,3,112,3,143,3,148,3,169,3,244,3,92,4,191,4,34,5,135,5,
230,5,71,6,149,6,159,6,112,6,85,6,120,6,204,6,58,7,178,7,42,8,142,8,198,8,198,8,158,8,109,8,
90,8,111,8,143,8,180,8,4,9,108,9,168,9,189,9,217,9,240,9,239,9,235,9,227,9,195,9,182,9,225,9,
32,10,77,10,122,10,170,10,193,10,180,10,136,10,65,10,246,9,203,9,205,9,235,9,30,10,86,10,101,10,50,10,
218,9,138,9,78,9,45,9,35,9,31,9,29,9,42,9,57,9,51,9,20,9,217,8,133,8,51,8,238,7,164,7,
87,7,30,7,246,6,208,6,167,6,114,6,50,6,244,5,159,5,22,5,127,4,14,4,189,3,127,3,90,3,68,3,
33,3,221,2,126,2,26,2,185,1,76,1,211,0,103,0,15,0,195,255,134,255,61,255,198,254,63,254,220,253,137,253,
31,253,174,252,71,252,215,251,88,251,229,250,137,250,56,250,240,249,179,249,112,249,36,249,236,248,200,248,141,248,44,248,
203,247,117,247,18,247,158,246,25,246,124,245,226,244,115,244,35,244,217,243,160,243,116,243,57,243,239,242,160,242,48,242,
143,241,237,240,121,240,35,240,204,239,125,239,75,239,32,239,238,238,200,238,170,238,120,238,59,238,251,237,163,237,62,237,
250,236,208,236,159,236,126,236,128,236,133,236,109,236,61,236,9,236,242,235,7,236,40,236,55,236,65,236,84,236,111,236,
146,236,184,236,222,236,12,237,61,237,102,237,149,237,212,237,17,238,79,238,150,238,217,238,25,239,111,239,214,239,49,240,
134,240,232,240,79,241,176,241,12,242,108,242,211,242,72,243,200,243,71,244,199,244,73,245,194,245,60,246,217,246,140,247,
19,248,86,248,134,248,199,248,20,249,128,249,24,250,174,250,30,251,124,251,226,251,84,252,203,252,41,253,90,253,131,253,
211,253,69,254,202,254,90,255,214,255,44,0,115,0,194,0,18,1,85,1,141,1,202,1,24,2,117,2,220,2,80,3,
183,3,241,3,24,4,84,4,156,4,218,4,20,5,71,5,122,5,208,5,81,6,210,6,57,7,144,7,219,7,30,8,
105,8,179,8,233,8,34,9,141,9,33,10,163,10,253,10,75,11,146,11,199,11,253,11,58,12,92,12,115,12,196,12,
66,13,158,13,206,13,245,13,15,14,23,14,54,14,114,14,164,14,187,14,203,14,230,14,13,15,65,15,104,15,90,15,
34,15,247,14,239,14,247,14,0,15,244,14,187,14,134,14,153,14,193,14,152,14,53,14,219,13,130,13,33,13,231,12,
209,12,176,12,132,12,102,12,73,12,34,12,253,11,202,11,103,11,219,10,102,10,49,10,34,10,9,10,228,9,192,9,
153,9,123,9,102,9,41,9,189,8,93,8,34,8,237,7,188,7,156,7,121,7,82,7,64,7,47,7,252,6,190,6,
146,6,98,6,42,6,12,6,10,6,250,5,215,5,183,5,146,5,105,5,81,5,58,5,247,4,150,4,87,4,64,4,
50,4,27,4,235,3,150,3,64,3,251,2,169,2,72,2,248,1,180,1,104,1,44,1,16,1,246,0,186,0,87,0,
234,255,158,255,111,255,40,255,186,254,75,254,252,253,205,253,171,253,115,253,22,253,172,252,85,252,28,252,240,251,171,251,
73,251,242,250,185,250,139,250,103,250,74,250,23,250,209,249,160,249,145,249,142,249,138,249,128,249,109,249,97,249,105,249,
114,249,94,249,47,249,255,248,240,248,10,249,57,249,94,249,95,249,75,249,76,249,104,249,125,249,128,249,133,249,144,249,
159,249,184,249,216,249,244,249,15,250,40,250,57,250,80,250,124,250,176,250,207,250,213,250,223,250,1,251,40,251,56,251,
48,251,40,251,46,251,70,251,99,251,118,251,132,251,153,251,183,251,219,251,7,252,39,252,48,252,57,252,74,252,85,252,
110,252,168,252,240,252,55,253,124,253,160,253,159,253,163,253,182,253,190,253,207,253,251,253,40,254,85,254,151,254,216,254,
1,255,44,255,99,255,131,255,138,255,156,255,190,255,228,255,30,0,114,0,192,0,243,0,38,1,112,1,183,1,229,1,
3,2,13,2,255,1,0,2,55,2,129,2,174,2,202,2,243,2,36,3,74,3,99,3,117,3,121,3,115,3,125,3,
161,3,201,3,227,3,244,3,1,4,27,4,81,4,127,4,121,4,94,4,85,4,79,4,75,4,101,4,129,4,124,4,
110,4,112,4,114,4,114,4,113,4,88,4,46,4,27,4,35,4,41,4,39,4,35,4,29,4,27,4,32,4,38,4,
35,4,15,4,241,3,217,3,203,3,186,3,172,3,166,3,154,3,131,3,113,3,105,3,91,3,58,3,20,3,6,3,
16,3,17,3,1,3,248,2,241,2,219,2,203,2,207,2,202,2,176,2,156,2,148,2,139,2,129,2,122,2,114,2,
109,2,107,2,96,2,72,2,43,2,23,2,254,1,204,1,141,1,102,1,92,1,95,1,93,1,77,1,59,1,71,1,
95,1,76,1,14,1,207,0,159,0,121,0,91,0,60,0,20,0,248,255,240,255,242,255,246,255,229,255,170,255,88,255,
13,255,213,254,177,254,153,254,122,254,86,254,66,254,64,254,68,254,63,254,23,254,209,253,155,253,135,253,116,253,93,253,
77,253,55,253,31,253,31,253,43,253,29,253,244,252,197,252,154,252,130,252,131,252,133,252,122,252,114,252,116,252,113,252,
116,252,134,252,137,252,106,252,80,252,94,252,116,252,118,252,120,252,127,252,123,252,124,252,140,252,131,252,86,252,50,252,
32,252,15,252,10,252,24,252,26,252,9,252,254,251,251,251,235,251,211,251,192,251,170,251,143,251,131,251,146,251,154,251,
129,251,104,251,109,251,116,251,107,251,109,251,115,251,95,251,73,251,72,251,52,251,5,251,241,250,254,250,3,251,7,251,
41,251,89,251,108,251,92,251,66,251,65,251,109,251,189,251,7,252,40,252,42,252,58,252,107,252,182,252,15,253,96,253,
150,253,200,253,16,254,81,254,114,254,150,254,200,254,239,254,33,255,140,255,18,0,110,0,157,0,199,0,247,0,39,1,
102,1,193,1,34,2,115,2,194,2,35,3,135,3,213,3,10,4,57,4,117,4,191,4,9,5,77,5,131,5,161,5,
179,5,222,5,38,6,121,6,203,6,3,7,7,7,243,6,251,6,32,7,83,7,147,7,217,7,37,8,126,8,202,8,
227,8,223,8,228,8,233,8,238,8,18,9,85,9,154,9,204,9,228,9,231,9,236,9,249,9,247,9,235,9,232,9,
234,9,239,9,4,10,39,10,69,10,90,10,107,10,116,10,125,10,138,10,137,10,108,10,66,10,40,10,47,10,80,10,
111,10,107,10,74,10,41,10,1,10,187,9,115,9,70,9,31,9,240,8,214,8,200,8,156,8,84,8,17,8,214,7,
158,7,104,7,41,7,227,6,170,6,121,6,56,6,237,5,166,5,90,5,12,5,191,4,105,4,9,4,169,3,69,3,
211,2,99,2,8,2,184,1,97,1,1,1,157,0,60,0,222,255,126,255,24,255,174,254,81,254,11,254,195,253,99,253,
249,252,147,252,44,252,211,251,145,251,72,251,224,250,114,250,30,250,219,249,152,249,66,249,199,248,47,248,170,247,74,247,
241,246,131,246,11,246,154,245,56,245,1,245,14,245,51,245,20,245,156,244,250,243,84,243,187,242,60,242,203,241,81,241,
224,240,170,240,185,240,224,240,245,240,219,240,138,240,27,240,189,239,119,239,32,239,182,238,102,238,60,238,58,238,121,238,
223,238,8,239,225,238,185,238,156,238,106,238,66,238,54,238,13,238,211,237,222,237,42,238,101,238,121,238,118,238,85,238,
44,238,52,238,110,238,159,238,184,238,217,238,14,239,85,239,181,239,36,240,125,240,193,240,13,241,87,241,138,241,198,241,
32,242,109,242,159,242,221,242,42,243,108,243,172,243,244,243,46,244,93,244,175,244,46,245,166,245,251,245,68,246,147,246,
229,246,63,247,167,247,20,248,141,248,36,249,184,249,20,250,81,250,164,250,6,251,99,251,192,251,16,252,66,252,125,252,
221,252,61,253,129,253,185,253,236,253,28,254,91,254,181,254,40,255,170,255,32,0,130,0,244,0,137,1,33,2,145,2,
212,2,8,3,67,3,137,3,218,3,60,4,173,4,49,5,214,5,119,6,210,6,237,6,0,7,19,7,25,7,49,7,
115,7,207,7,75,8,222,8,91,9,195,9,58,10,173,10,234,10,251,10,13,11,50,11,116,11,205,11,34,12,108,12,
191,12,24,13,80,13,80,13,56,13,29,13,249,12,210,12,193,12,204,12,239,12,42,13,97,13,109,13,95,13,92,13,
84,13,46,13,253,12,231,12,253,12,50,13,86,13,90,13,87,13,83,13,53,13,248,12,161,12,60,12,244,11,210,11,
174,11,134,11,127,11,127,11,87,11,20,11,200,10,116,10,54,10,30,10,5,10,228,9,229,9,11,10,43,10,46,10,
19,10,240,9,219,9,195,9,135,9,57,9,3,9,230,8,199,8,148,8,85,8,38,8,19,8,4,8,220,7,155,7,
86,7,32,7,249,6,213,6,183,6,162,6,142,6,115,6,81,6,35,6,254,5,238,5,212,5,146,5,75,5,30,5,
236,4,151,4,38,4,173,3,78,3,25,3,242,2,177,2,86,2,247,1,169,1,101,1,13,1,169,0,97,0,52,0,
3,0,215,255,191,255,176,255,154,255,99,255,254,254,150,254,91,254,43,254,225,253,155,253,100,253,40,253,245,252,208,252,
149,252,75,252,30,252,255,251,192,251,108,251,52,251,33,251,29,251,23,251,20,251,27,251,32,251,23,251,12,251,2,251,
244,250,233,250,228,250,227,250,227,250,224,250,209,250,188,250,162,250,126,250,97,250,89,250,77,250,46,250,24,250,36,250,
67,250,87,250,75,250,50,250,59,250,91,250,95,250,73,250,63,250,70,250,89,250,118,250,131,250,124,250,137,250,177,250,
181,250,125,250,63,250,49,250,69,250,87,250,89,250,83,250,78,250,91,250,130,250,160,250,167,250,194,250,248,250,13,251,
10,251,49,251,112,251,151,251,186,251,243,251,45,252,107,252,184,252,231,252,225,252,221,252,5,253,67,253,115,253,143,253,
168,253,207,253,7,254,71,254,126,254,164,254,207,254,22,255,96,255,147,255,197,255,7,0,66,0,117,0,165,0,206,0,
254,0,70,1,125,1,137,1,154,1,204,1,245,1,1,2,7,2,18,2,28,2,51,2,82,2,95,2,92,2,110,2,
150,2,176,2,185,2,211,2,254,2,22,3,28,3,39,3,56,3,80,3,116,3,132,3,107,3,82,3,84,3,86,3,
83,3,98,3,111,3,98,3,83,3,82,3,78,3,69,3,66,3,64,3,47,3,24,3,17,3,29,3,37,3,38,3,
43,3,57,3,70,3,77,3,72,3,50,3,35,3,33,3,19,3,245,2,219,2,196,2,182,2,197,2,207,2,169,2,
121,2,111,2,109,2,84,2,63,2,57,2,53,2,55,2,60,2,42,2,2,2,230,1,226,1,230,1,224,1,207,1,
190,1,172,1,143,1,110,1,87,1,67,1,38,1,10,1,243,0,215,0,187,0,162,0,128,0,88,0,68,0,72,0,
76,0,70,0,58,0,33,0,249,255,226,255,223,255,208,255,176,255,165,255,168,255,151,255,122,255,102,255,73,255,30,255,
2,255,246,254,221,254,184,254,158,254,146,254,138,254,127,254,119,254,113,254,100,254,72,254,51,254,48,254,45,254,42,254,
53,254,57,254,42,254,48,254,72,254,64,254,31,254,20,254,12,254,233,253,208,253,211,253,212,253,222,253,0,254,12,254,
243,253,231,253,244,253,240,253,225,253,233,253,248,253,254,253,17,254,47,254,57,254,56,254,72,254,81,254,60,254,35,254,
27,254,27,254,29,254,41,254,53,254,54,254,53,254,47,254,25,254,2,254,247,253,235,253,217,253,217,253,245,253,14,254,
26,254,46,254,77,254,82,254,48,254,9,254,251,253,238,253,210,253,197,253,212,253,219,253,207,253,200,253,197,253,185,253,
179,253,178,253,150,253,103,253,82,253,84,253,87,253,98,253,121,253,129,253,125,253,137,253,156,253,158,253,156,253,160,253,
143,253,116,253,123,253,160,253,175,253,168,253,172,253,178,253,168,253,162,253,172,253,172,253,169,253,188,253,212,253,229,253,
10,254,58,254,73,254,76,254,116,254,159,254,176,254,210,254,22,255,75,255,105,255,142,255,166,255,163,255,181,255,241,255,
41,0,67,0,87,0,114,0,138,0,169,0,220,0,16,1,56,1,110,1,178,1,219,1,226,1,235,1,4,2,43,2,
112,2,206,2,28,3,81,3,130,3,169,3,178,3,171,3,182,3,216,3,3,4,48,4,90,4,116,4,125,4,155,4,
228,4,36,5,56,5,79,5,136,5,187,5,208,5,232,5,4,6,21,6,63,6,143,6,219,6,12,7,51,7,74,7,
78,7,99,7,149,7,179,7,176,7,189,7,229,7,0,8,15,8,41,8,52,8,29,8,35,8,98,8,150,8,158,8,
160,8,162,8,144,8,142,8,174,8,195,8,190,8,191,8,196,8,184,8,173,8,170,8,154,8,124,8,101,8,78,8,
38,8,241,7,198,7,169,7,132,7,84,7,47,7,20,7,233,6,181,6,135,6,80,6,13,6,208,5,151,5,95,5,
59,5,24,5,205,4,114,4,41,4,217,3,120,3,35,3,219,2,132,2,42,2,212,1,111,1,1,1,170,0,95,0,
1,0,151,255,54,255,214,254,108,254,4,254,161,253,65,253,251,252,210,252,146,252,28,252,153,251,33,251,166,250,57,250,
227,249,129,249,22,249,205,248,149,248,57,248,196,247,85,247,221,246,84,246,207,245,90,245,242,244,140,244,18,244,145,243,
42,243,220,242,152,242,87,242,251,241,119,241,247,240,140,240,15,240,137,239,50,239,4,239,221,238,199,238,189,238,149,238,
79,238,21,238,236,237,187,237,138,237,121,237,122,237,104,237,77,237,76,237,102,237,143,237,201,237,241,237,225,237,193,237,
201,237,227,237,247,237,40,238,126,238,219,238,55,239,148,239,222,239,17,240,64,240,104,240,123,240,152,240,241,240,122,241,
2,242,133,242,27,243,169,243,251,243,41,244,95,244,149,244,198,244,16,245,109,245,205,245,80,246,2,247,175,247,53,248,
154,248,229,248,38,249,115,249,186,249,233,249,45,250,182,250,126,251,78,252,239,252,90,253,175,253,242,253,27,254,72,254,
140,254,213,254,54,255,204,255,118,0,14,1,173,1,73,2,161,2,190,2,234,2,58,3,146,3,250,3,133,4,27,5,
171,5,75,6,242,6,110,7,184,7,3,8,83,8,139,8,194,8,36,9,153,9,4,10,115,10,233,10,81,11,178,11,
2,12,39,12,48,12,77,12,142,12,237,12,84,13,172,13,249,13,80,14,163,14,227,14,12,15,17,15,251,14,0,15,
44,15,77,15,93,15,124,15,158,15,166,15,163,15,160,15,142,15,104,15,53,15,250,14,195,14,158,14,134,14,102,14,
65,14,51,14,68,14,70,14,22,14,204,13,140,13,82,13,12,13,193,12,128,12,76,12,34,12,247,11,199,11,141,11,
69,11,255,10,198,10,122,10,19,10,195,9,154,9,110,9,53,9,7,9,214,8,161,8,129,8,102,8,40,8,219,7,
167,7,134,7,105,7,84,7,68,7,36,7,233,6,162,6,95,6,27,6,210,5,141,5,73,5,251,4,193,4,191,4,
201,4,161,4,87,4,18,4,207,3,145,3,92,3,21,3,185,2,121,2,106,2,104,2,89,2,58,2,8,2,193,1,
118,1,53,1,239,0,147,0,52,0,230,255,164,255,121,255,117,255,117,255,75,255,12,255,229,254,199,254,155,254,99,254,
35,254,231,253,212,253,236,253,1,254,250,253,231,253,208,253,179,253,160,253,162,253,157,253,115,253,64,253,50,253,66,253,
73,253,77,253,86,253,75,253,64,253,94,253,129,253,116,253,86,253,85,253,101,253,142,253,212,253,5,254,2,254,254,253,
21,254,35,254,28,254,20,254,20,254,30,254,52,254,68,254,71,254,62,254,39,254,12,254,5,254,8,254,249,253,220,253,
204,253,200,253,194,253,194,253,205,253,207,253,187,253,159,253,140,253,124,253,104,253,76,253,30,253,237,252,224,252,231,252,
200,252,134,252,76,252,28,252,233,251,194,251,167,251,127,251,77,251,42,251,20,251,250,250,218,250,189,250,162,250,131,250,
109,250,112,250,115,250,85,250,52,250,52,250,56,250,48,250,50,250,45,250,251,249,195,249,182,249,190,249,192,249,192,249,
178,249,152,249,161,249,215,249,10,250,30,250,28,250,16,250,19,250,53,250,94,250,115,250,129,250,148,250,175,250,219,250,
26,251,81,251,101,251,99,251,97,251,102,251,114,251,129,251,122,251,98,251,108,251,164,251,224,251,14,252,57,252,77,252,
73,252,94,252,143,252,168,252,174,252,197,252,220,252,238,252,34,253,107,253,142,253,153,253,178,253,204,253,221,253,248,253,
8,254,245,253,228,253,251,253,41,254,84,254,117,254,139,254,158,254,194,254,255,254,60,255,97,255,119,255,152,255,197,255,
242,255,33,0,88,0,146,0,212,0,24,1,82,1,137,1,201,1,247,1,7,2,39,2,112,2,201,2,25,3,91,3,
145,3,200,3,11,4,82,4,145,4,199,4,250,4,62,5,171,5,34,6,114,6,156,6,197,6,252,6,58,7,119,7,
177,7,226,7,5,8,37,8,86,8,151,8,212,8,255,8,25,9,39,9,57,9,84,9,98,9,91,9,91,9,125,9,
197,9,32,10,92,10,85,10,45,10,11,10,244,9,237,9,248,9,248,9,240,9,255,9,28,10,35,10,31,10,11,10,
203,9,128,9,93,9,80,9,56,9,42,9,40,9,19,9,252,8,249,8,235,8,184,8,125,8,84,8,44,8,2,8,
231,7,209,7,178,7,158,7,148,7,106,7,30,7,219,6,155,6,65,6,242,5,214,5,201,5,170,5,135,5,93,5,
25,5,205,4,139,4,65,4,234,3,148,3,72,3,18,3,245,2,216,2,165,2,98,2,25,2,210,1,135,1,36,1,
179,0,89,0,20,0,209,255,158,255,123,255,75,255,11,255,200,254,107,254,247,253,154,253,83,253,248,252,155,252,97,252,
57,252,254,251,185,251,115,251,33,251,186,250,84,250,243,249,131,249,4,249,148,248,66,248,250,247,178,247,106,247,18,247,
165,246,57,246,204,245,82,245,214,244,105,244,7,244,174,243,103,243,40,243,219,242,119,242,6,242,139,241,5,241,128,240,
17,240,177,239,82,239,28,239,44,239,71,239,42,239,218,238,107,238,237,237,136,237,68,237,254,236,205,236,222,236,10,237,
31,237,48,237,52,237,253,236,168,236,112,236,60,236,234,235,160,235,130,235,138,235,200,235,68,236,193,236,5,237,29,237,
39,237,29,237,10,237,14,237,29,237,41,237,119,237,47,238,243,238,113,239,215,239,67,240,124,240,130,240,141,240,156,240,
170,240,244,240,136,241,23,242,117,242,196,242,17,243,79,243,144,243,229,243,57,244,120,244,187,244,29,245,149,245,35,246,
201,246,97,247,194,247,18,248,122,248,223,248,39,249,108,249,188,249,28,250,168,250,82,251,208,251,12,252,53,252,108,252,
182,252,7,253,71,253,128,253,223,253,119,254,48,255,248,255,186,0,83,1,177,1,230,1,33,2,153,2,80,3,0,4,
126,4,235,4,128,5,68,6,18,7,173,7,9,8,85,8,175,8,7,9,83,9,164,9,254,9,101,10,243,10,176,11,
116,12,16,13,131,13,223,13,50,14,146,14,18,15,145,15,233,15,55,16,165,16,32,17,146,17,251,17,64,18,83,18,
105,18,166,18,218,18,228,18,225,18,224,18,225,18,234,18,242,18,251,18,25,19,67,19,87,19,87,19,88,19,94,19,
112,19,137,19,132,19,95,19,70,19,64,19,42,19,1,19,215,18,177,18,143,18,102,18,31,18,202,17,142,17,94,17,
13,17,166,16,87,16,43,16,15,16,241,15,202,15,146,15,83,15,30,15,241,14,188,14,142,14,112,14,78,14,36,14,
252,13,199,13,123,13,41,13,196,12,51,12,169,11,91,11,31,11,190,10,77,10,227,9,122,9,32,9,208,8,96,8,
208,7,83,7,247,6,160,6,64,6,228,5,147,5,69,5,243,4,166,4,82,4,218,3,66,3,169,2,14,2,108,1,
224,0,117,0,5,0,139,255,34,255,195,254,81,254,200,253,59,253,183,252,64,252,213,251,123,251,51,251,240,250,172,250,
104,250,23,250,190,249,122,249,77,249,16,249,185,248,98,248,20,248,200,247,131,247,64,247,242,246,166,246,114,246,74,246,
19,246,206,245,147,245,115,245,100,245,92,245,88,245,80,245,71,245,84,245,111,245,115,245,98,245,92,245,92,245,94,245,
114,245,149,245,171,245,174,245,162,245,144,245,138,245,138,245,123,245,108,245,123,245,159,245,200,245,246,245,14,246,9,246,
27,246,89,246,156,246,204,246,246,246,25,247,63,247,125,247,200,247,255,247,29,248,52,248,82,248,127,248,176,248,211,248,
227,248,238,248,3,249,38,249,82,249,130,249,179,249,232,249,33,250,94,250,148,250,197,250,6,251,92,251,180,251,3,252,
76,252,135,252,185,252,238,252,37,253,96,253,172,253,250,253,50,254,96,254,143,254,182,254,223,254,19,255,62,255,95,255,
150,255,227,255,49,0,132,0,219,0,44,1,126,1,210,1,29,2,101,2,178,2,251,2,62,3,134,3,209,3,25,4,
97,4,157,4,196,4,229,4,5,5,29,5,63,5,115,5,161,5,198,5,238,5,16,6,38,6,71,6,118,6,154,6,
185,6,228,6,16,7,44,7,70,7,97,7,108,7,111,7,137,7,171,7,171,7,147,7,135,7,125,7,107,7,106,7,
109,7,79,7,42,7,28,7,9,7,225,6,200,6,189,6,173,6,172,6,186,6,183,6,176,6,176,6,149,6,103,6,
97,6,116,6,100,6,54,6,18,6,254,5,247,5,248,5,226,5,171,5,128,5,117,5,100,5,58,5,15,5,244,4,
225,4,211,4,201,4,173,4,122,4,85,4,75,4,65,4,48,4,40,4,15,4,223,3,195,3,184,3,142,3,77,3,
31,3,238,2,168,2,121,2,103,2,64,2,249,1,180,1,125,1,81,1,49,1,14,1,209,0,135,0,83,0,50,0,
6,0,203,255,146,255,89,255,29,255,242,254,212,254,155,254,76,254,10,254,207,253,139,253,82,253,35,253,226,252,145,252,
72,252,18,252,242,251,221,251,181,251,121,251,77,251,54,251,31,251,250,250,194,250,134,250,99,250,77,250,40,250,10,250,
7,250,252,249,222,249,204,249,190,249,149,249,95,249,50,249,6,249,225,248,218,248,230,248,223,248,196,248,178,248,179,248,
183,248,178,248,164,248,142,248,126,248,127,248,131,248,121,248,107,248,96,248,89,248,98,248,119,248,114,248,85,248,74,248,
79,248,69,248,59,248,66,248,78,248,94,248,118,248,129,248,134,248,162,248,195,248,209,248,228,248,12,249,51,249,82,249,
113,249,135,249,155,249,194,249,243,249,17,250,31,250,53,250,103,250,171,250,224,250,250,250,19,251,57,251,101,251,152,251,
211,251,13,252,71,252,136,252,200,252,254,252,50,253,107,253,168,253,228,253,34,254,96,254,152,254,199,254,250,254,55,255,
110,255,155,255,201,255,244,255,21,0,64,0,131,0,199,0,252,0,43,1,98,1,166,1,234,1,22,2,52,2,93,2,
136,2,175,2,222,2,19,3,74,3,147,3,229,3,23,4,41,4,62,4,88,4,108,4,135,4,167,4,202,4,246,4,
38,5,77,5,122,5,175,5,210,5,229,5,252,5,19,6,40,6,72,6,114,6,149,6,180,6,216,6,255,6,38,7,
62,7,64,7,66,7,91,7,124,7,135,7,125,7,127,7,159,7,190,7,195,7,188,7,187,7,183,7,170,7,160,7,
151,7,146,7,162,7,187,7,194,7,180,7,164,7,155,7,144,7,123,7,96,7,75,7,55,7,24,7,253,6,241,6,
227,6,201,6,176,6,148,6,105,6,66,6,55,6,58,6,53,6,27,6,244,5,208,5,184,5,164,5,151,5,136,5,
109,5,85,5,67,5,32,5,254,4,253,4,251,4,208,4,172,4,171,4,145,4,79,4,30,4,11,4,0,4,5,4,
20,4,8,4,229,3,200,3,167,3,119,3,78,3,50,3,17,3,242,2,236,2,237,2,214,2,175,2,140,2,89,2,
13,2,206,1,180,1,160,1,126,1,89,1,47,1,250,0,201,0,159,0,109,0,52,0,244,255,172,255,106,255,57,255,
12,255,220,254,179,254,136,254,79,254,9,254,186,253,102,253,8,253,158,252,72,252,48,252,50,252,13,252,199,251,125,251,
44,251,220,250,157,250,77,250,227,249,155,249,131,249,103,249,67,249,47,249,8,249,181,248,99,248,37,248,212,247,102,247,
6,247,195,246,147,246,115,246,89,246,38,246,226,245,184,245,161,245,114,245,42,245,229,244,153,244,73,244,22,244,255,243,
227,243,201,243,184,243,157,243,126,243,108,243,79,243,25,243,232,242,196,242,163,242,144,242,136,242,115,242,89,242,73,242,
58,242,50,242,71,242,99,242,100,242,91,242,94,242,100,242,102,242,109,242,123,242,146,242,178,242,220,242,5,243,32,243,
43,243,51,243,62,243,77,243,109,243,160,243,200,243,220,243,247,243,37,244,82,244,115,244,147,244,189,244,245,244,50,245,
106,245,156,245,197,245,232,245,32,246,120,246,203,246,0,247,50,247,117,247,188,247,249,247,51,248,113,248,179,248,249,248,
65,249,135,249,195,249,244,249,37,250,101,250,197,250,60,251,154,251,208,251,26,252,152,252,12,253,87,253,159,253,234,253,
43,254,132,254,254,254,112,255,209,255,56,0,150,0,229,0,69,1,178,1,14,2,99,2,189,2,14,3,88,3,183,3,
37,4,143,4,238,4,70,5,171,5,39,6,164,6,16,7,112,7,206,7,41,8,139,8,246,8,91,9,177,9,2,10,
92,10,193,10,44,11,146,11,225,11,30,12,90,12,155,12,223,12,43,13,125,13,193,13,249,13,71,14,169,14,239,14,
22,15,58,15,94,15,128,15,184,15,248,15,36,16,76,16,131,16,175,16,198,16,218,16,237,16,243,16,242,16,240,16,
240,16,253,16,14,17,28,17,49,17,68,17,62,17,43,17,22,17,240,16,192,16,162,16,142,16,123,16,117,16,125,16,
119,16,94,16,50,16,241,15,167,15,103,15,37,15,223,14,175,14,154,14,129,14,81,14,11,14,184,13,99,13,23,13,
207,12,127,12,35,12,207,11,145,11,91,11,22,11,194,10,106,10,23,10,199,9,110,9,8,9,161,8,57,8,211,7,
133,7,75,7,254,6,153,6,60,6,224,5,112,5,1,5,153,4,31,4,158,3,63,3,247,2,170,2,87,2,244,1,
116,1,231,0,102,0,236,255,115,255,3,255,164,254,80,254,1,254,176,253,81,253,227,252,111,252,254,251,140,251,20,251,
161,250,56,250,215,249,127,249,54,249,238,248,156,248,69,248,237,247,145,247,43,247,182,246,71,246,248,245,185,245,110,245,
43,245,251,244,181,244,90,244,28,244,242,243,185,243,133,243,99,243,46,243,234,242,197,242,185,242,167,242,155,242,151,242,
127,242,93,242,92,242,120,242,125,242,97,242,74,242,73,242,79,242,93,242,118,242,136,242,153,242,197,242,6,243,56,243,
94,243,129,243,148,243,165,243,220,243,38,244,99,244,163,244,4,245,120,245,236,245,89,246,161,246,183,246,183,246,206,246,
15,247,116,247,243,247,129,248,12,249,130,249,223,249,46,250,107,250,150,250,191,250,254,250,87,251,199,251,74,252,217,252,
102,253,224,253,84,254,210,254,66,255,129,255,166,255,220,255,35,0,129,0,5,1,155,1,33,2,152,2,8,3,91,3,
146,3,198,3,251,3,48,4,120,4,232,4,120,5,254,5,91,6,158,6,224,6,21,7,60,7,112,7,172,7,227,7,
49,8,163,8,11,9,78,9,122,9,149,9,171,9,217,9,7,10,12,10,7,10,47,10,117,10,183,10,0,11,79,11,
130,11,150,11,159,11,158,11,138,11,120,11,131,11,163,11,201,11,246,11,34,12,49,12,30,12,1,12,229,11,202,11,
172,11,138,11,104,11,82,11,68,11,46,11,20,11,255,10,229,10,193,10,155,10,118,10,70,10,7,10,199,9,150,9,
113,9,70,9,19,9,228,8,168,8,88,8,18,8,224,7,160,7,77,7,2,7,190,6,116,6,40,6,220,5,128,5,
23,5,184,4,122,4,92,4,57,4,246,3,169,3,101,3,21,3,183,2,97,2,13,2,172,1,81,1,4,1,182,0,
112,0,57,0,242,255,146,255,55,255,233,254,149,254,47,254,190,253,85,253,10,253,221,252,179,252,113,252,7,252,134,251,
20,251,194,250,111,250,5,250,152,249,54,249,215,248,128,248,57,248,229,247,96,247,193,246,38,246,131,245,208,244,41,244,
138,243,219,242,73,242,11,242,3,242,242,241,192,241,88,241,178,240,9,240,145,239,51,239,226,238,195,238,218,238,247,238,
6,239,15,239,248,238,167,238,60,238,241,237,198,237,150,237,102,237,85,237,90,237,90,237,120,237,203,237,23,238,40,238,
17,238,235,237,197,237,206,237,18,238,96,238,172,238,36,239,197,239,88,240,197,240,23,241,66,241,65,241,63,241,117,241,
234,241,120,242,247,242,77,243,118,243,151,243,210,243,16,244,46,244,63,244,103,244,180,244,37,245,167,245,18,246,91,246,
156,246,229,246,49,247,128,247,207,247,18,248,71,248,129,248,224,248,112,249,5,250,102,250,144,250,167,250,187,250,215,250,
254,250,23,251,26,251,56,251,162,251,67,252,230,252,103,253,186,253,243,253,52,254,129,254,204,254,38,255,152,255,16,0,
135,0,21,1,191,1,101,2,245,2,100,3,165,3,209,3,34,4,147,4,231,4,23,5,92,5,201,5,70,6,200,6,
62,7,155,7,240,7,73,8,160,8,4,9,129,9,243,9,74,10,168,10,10,11,92,11,186,11,35,12,100,12,140,12,
215,12,52,13,108,13,136,13,146,13,124,13,100,13,107,13,108,13,78,13,60,13,77,13,95,13,98,13,110,13,136,13,
161,13,175,13,179,13,167,13,147,13,141,13,152,13,152,13,125,13,95,13,80,13,64,13,25,13,239,12,220,12,208,12,
167,12,98,12,38,12,4,12,230,11,174,11,95,11,23,11,242,10,246,10,6,11,0,11,227,10,214,10,234,10,1,11,
250,10,215,10,162,10,93,10,36,10,22,10,27,10,21,10,10,10,240,9,173,9,96,9,49,9,245,8,138,8,31,8,
214,7,161,7,139,7,145,7,112,7,31,7,232,6,221,6,195,6,135,6,68,6,3,6,201,5,155,5,103,5,26,5,
194,4,114,4,40,4,221,3,140,3,47,3,203,2,100,2,253,1,158,1,81,1,20,1,210,0,119,0,7,0,159,255,
79,255,11,255,196,254,138,254,115,254,112,254,96,254,64,254,31,254,242,253,164,253,57,253,206,252,116,252,56,252,23,252,
248,251,207,251,186,251,189,251,169,251,107,251,39,251,247,250,207,250,172,250,145,250,114,250,82,250,82,250,127,250,174,250,
187,250,182,250,177,250,162,250,137,250,115,250,85,250,38,250,3,250,255,249,8,250,17,250,23,250,7,250,215,249,168,249,
147,249,140,249,121,249,86,249,54,249,51,249,89,249,145,249,177,249,164,249,135,249,139,249,176,249,199,249,192,249,179,249,
169,249,158,249,163,249,186,249,199,249,191,249,180,249,180,249,193,249,221,249,243,249,245,249,246,249,15,250,66,250,129,250,
183,250,219,250,244,250,12,251,47,251,100,251,155,251,192,251,234,251,53,252,136,252,195,252,246,252,32,253,39,253,29,253,
54,253,110,253,161,253,214,253,21,254,69,254,105,254,155,254,213,254,3,255,54,255,116,255,169,255,215,255,19,0,74,0,
116,0,169,0,228,0,2,1,17,1,56,1,106,1,143,1,179,1,214,1,233,1,255,1,35,2,56,2,63,2,88,2,
124,2,146,2,170,2,212,2,1,3,37,3,70,3,99,3,117,3,131,3,153,3,184,3,215,3,238,3,8,4,51,4,
99,4,132,4,141,4,131,4,114,4,111,4,123,4,135,4,153,4,185,4,216,4,237,4,8,5,47,5,77,5,81,5,
71,5,74,5,103,5,140,5,161,5,162,5,162,5,170,5,188,5,210,5,229,5,238,5,229,5,201,5,179,5,181,5,
197,5,202,5,190,5,165,5,144,5,147,5,161,5,148,5,106,5,79,5,82,5,90,5,92,5,90,5,64,5,13,5,
232,4,221,4,200,4,158,4,123,4,91,4,44,4,2,4,234,3,194,3,133,3,90,3,65,3,19,3,217,2,181,2,
154,2,110,2,65,2,39,2,14,2,232,1,192,1,163,1,129,1,84,1,40,1,251,0,195,0,146,0,123,0,96,0,
41,0,249,255,223,255,187,255,130,255,80,255,41,255,8,255,246,254,233,254,200,254,156,254,112,254,59,254,10,254,238,253,
214,253,186,253,182,253,191,253,177,253,148,253,119,253,70,253,1,253,203,252,162,252,109,252,62,252,46,252,36,252,14,252,
243,251,206,251,157,251,119,251,102,251,81,251,42,251,251,250,205,250,172,250,168,250,177,250,163,250,123,250,81,250,47,250,
18,250,248,249,217,249,182,249,158,249,147,249,131,249,103,249,71,249,38,249,254,248,210,248,174,248,159,248,152,248,135,248,
115,248,109,248,112,248,118,248,123,248,112,248,82,248,67,248,80,248,86,248,77,248,80,248,86,248,77,248,77,248,100,248,
120,248,131,248,147,248,160,248,167,248,186,248,210,248,210,248,205,248,231,248,15,249,44,249,70,249,111,249,159,249,200,249,
237,249,22,250,63,250,96,250,127,250,164,250,205,250,241,250,23,251,71,251,120,251,165,251,209,251,249,251,21,252,49,252,
86,252,124,252,158,252,194,252,230,252,5,253,42,253,94,253,153,253,205,253,251,253,30,254,56,254,91,254,144,254,193,254,
227,254,10,255,60,255,106,255,149,255,199,255,240,255,7,0,27,0,55,0,82,0,112,0,157,0,204,0,238,0,17,1,
60,1,95,1,126,1,165,1,202,1,224,1,5,2,69,2,130,2,175,2,226,2,18,3,47,3,76,3,118,3,149,3,
172,3,214,3,8,4,54,4,108,4,161,4,183,4,190,4,218,4,2,5,36,5,75,5,116,5,144,5,162,5,195,5,
241,5,23,6,41,6,47,6,60,6,79,6,88,6,97,6,123,6,151,6,166,6,187,6,222,6,244,6,237,6,215,6,
189,6,167,6,156,6,151,6,145,6,143,6,148,6,152,6,149,6,137,6,121,6,119,6,139,6,148,6,132,6,110,6,
92,6,69,6,56,6,64,6,68,6,60,6,70,6,96,6,105,6,94,6,81,6,56,6,21,6,255,5,250,5,253,5,
6,6,13,6,16,6,31,6,52,6,49,6,32,6,35,6,44,6,33,6,21,6,21,6,7,6,240,5,232,5,234,5,
240,5,252,5,253,5,223,5,178,5,135,5,94,5,63,5,53,5,46,5,23,5,2,5,244,4,221,4,181,4,128,4,
72,4,32,4,16,4,2,4,227,3,183,3,131,3,75,3,27,3,239,2,187,2,134,2,87,2,28,2,203,1,128,1,
76,1,27,1,230,0,189,0,155,0,96,0,9,0,175,255,91,255,11,255,204,254,169,254,143,254,112,254,77,254,36,254,
225,253,131,253,32,253,196,252,110,252,35,252,229,251,173,251,118,251,66,251,11,251,201,250,121,250,25,250,182,249,96,249,
17,249,180,248,87,248,23,248,237,247,185,247,121,247,46,247,210,246,109,246,16,246,181,245,89,245,15,245,218,244,155,244,
80,244,20,244,230,243,169,243,90,243,25,243,237,242,190,242,133,242,87,242,57,242,34,242,17,242,9,242,251,241,226,241,
215,241,224,241,225,241,212,241,214,241,242,241,22,242,47,242,50,242,44,242,52,242,75,242,95,242,117,242,158,242,203,242,
245,242,40,243,93,243,126,243,149,243,194,243,4,244,76,244,149,244,218,244,27,245,88,245,139,245,183,245,246,245,66,246,
120,246,161,246,224,246,44,247,113,247,180,247,236,247,12,248,53,248,133,248,216,248,19,249,74,249,131,249,182,249,249,249,
93,250,193,250,23,251,112,251,195,251,0,252,58,252,124,252,186,252,254,252,92,253,199,253,46,254,154,254,255,254,67,255,
117,255,190,255,26,0,108,0,180,0,15,1,132,1,254,1,110,2,224,2,87,3,191,3,25,4,120,4,220,4,56,5,
156,5,20,6,135,6,233,6,79,7,191,7,35,8,118,8,188,8,242,8,42,9,120,9,211,9,45,10,141,10,243,10,
76,11,143,11,198,11,247,11,37,12,92,12,153,12,214,12,26,13,109,13,194,13,247,13,3,14,1,14,14,14,37,14,
51,14,65,14,93,14,122,14,138,14,152,14,169,14,174,14,173,14,177,14,178,14,170,14,164,14,163,14,157,14,150,14,
155,14,165,14,171,14,174,14,167,14,138,14,91,14,50,14,21,14,250,13,218,13,185,13,154,13,118,13,66,13,6,13,
206,12,157,12,110,12,68,12,35,12,0,12,204,11,140,11,77,11,9,11,195,10,145,10,120,10,83,10,15,10,204,9,
146,9,76,9,252,8,183,8,109,8,12,8,173,7,100,7,28,7,196,6,98,6,251,5,158,5,88,5,19,5,188,4,
102,4,25,4,190,3,102,3,42,3,233,2,136,2,40,2,224,1,152,1,70,1,242,0,140,0,24,0,192,255,128,255,
38,255,176,254,68,254,237,253,154,253,70,253,240,252,149,252,54,252,213,251,117,251,36,251,236,250,187,250,129,250,65,250,
2,250,198,249,133,249,60,249,247,248,189,248,123,248,47,248,244,247,206,247,161,247,101,247,38,247,231,246,173,246,137,246,
111,246,70,246,22,246,242,245,211,245,181,245,163,245,160,245,174,245,206,245,233,245,241,245,250,245,1,246,233,245,201,245,
219,245,17,246,63,246,107,246,162,246,191,246,190,246,200,246,231,246,3,247,31,247,75,247,119,247,160,247,218,247,40,248,
115,248,178,248,246,248,67,249,134,249,181,249,227,249,26,250,74,250,124,250,214,250,93,251,232,251,90,252,169,252,204,252,
215,252,246,252,36,253,71,253,123,253,225,253,93,254,205,254,64,255,170,255,231,255,253,255,25,0,66,0,119,0,196,0,
32,1,109,1,184,1,31,2,142,2,231,2,52,3,122,3,160,3,179,3,223,3,37,4,97,4,154,4,225,4,36,5,
92,5,161,5,227,5,250,5,0,6,43,6,104,6,151,6,213,6,44,7,106,7,131,7,172,7,239,7,33,8,49,8,
49,8,53,8,78,8,128,8,173,8,191,8,205,8,225,8,234,8,234,8,240,8,242,8,226,8,205,8,189,8,175,8,
165,8,169,8,182,8,180,8,151,8,118,8,108,8,112,8,95,8,53,8,9,8,235,7,207,7,170,7,127,7,88,7,
50,7,1,7,203,6,155,6,106,6,46,6,244,5,195,5,139,5,79,5,32,5,235,4,158,4,88,4,45,4,1,4,
208,3,166,3,105,3,15,3,198,2,156,2,98,2,17,2,204,1,139,1,62,1,250,0,193,0,118,0,33,0,221,255,
152,255,68,255,250,254,187,254,104,254,2,254,174,253,113,253,61,253,12,253,219,252,157,252,73,252,233,251,145,251,63,251,
227,250,134,250,64,250,252,249,156,249,47,249,201,248,86,248,208,247,81,247,211,246,73,246,200,245,85,245,207,244,65,244,
227,243,179,243,129,243,61,243,224,242,99,242,229,241,133,241,44,241,203,240,130,240,95,240,64,240,36,240,31,240,22,240,
231,239,158,239,82,239,3,239,182,238,117,238,64,238,33,238,52,238,130,238,230,238,55,239,94,239,80,239,25,239,242,238,
1,239,55,239,124,239,227,239,109,240,237,240,76,241,154,241,218,241,253,241,18,242,46,242,80,242,128,242,215,242,63,243,
142,243,209,243,34,244,119,244,190,244,244,244,9,245,0,245,9,245,77,245,199,245,113,246,52,247,210,247,42,248,100,248,
155,248,176,248,161,248,168,248,228,248,67,249,194,249,90,250,206,250,242,250,238,250,246,250,9,251,37,251,93,251,150,251,
180,251,233,251,106,252,13,253,152,253,18,254,119,254,171,254,208,254,35,255,150,255,247,255,86,0,205,0,82,1,228,1,
138,2,21,3,86,3,103,3,130,3,190,3,20,4,119,4,220,4,63,5,166,5,26,6,154,6,22,7,119,7,191,7,
14,8,117,8,242,8,131,9,25,10,146,10,239,10,65,11,139,11,203,11,8,12,53,12,69,12,88,12,141,12,214,12,
26,13,80,13,94,13,64,13,31,13,23,13,20,13,10,13,7,13,10,13,28,13,78,13,143,13,180,13,176,13,148,13,
107,13,73,13,67,13,71,13,59,13,35,13,2,13,206,12,147,12,94,12,32,12,211,11,140,11,86,11,46,11,18,11,
252,10,222,10,193,10,170,10,142,10,104,10,82,10,83,10,87,10,75,10,52,10,36,10,42,10,73,10,97,10,69,10,
237,9,139,9,87,9,74,9,60,9,34,9,5,9,215,8,164,8,146,8,139,8,77,8,227,7,143,7,96,7,79,7,
111,7,155,7,135,7,68,7,37,7,39,7,14,7,220,6,159,6,67,6,224,5,170,5,145,5,89,5,253,4,154,4,
56,4,230,3,170,3,103,3,2,3,152,2,69,2,0,2,201,1,173,1,139,1,54,1,203,0,134,0,102,0,70,0,
22,0,217,255,141,255,65,255,14,255,236,254,192,254,130,254,54,254,221,253,130,253,53,253,242,252,182,252,135,252,101,252,
66,252,37,252,25,252,19,252,255,251,220,251,188,251,179,251,195,251,207,251,199,251,195,251,206,251,204,251,178,251,148,251,
125,251,103,251,83,251,73,251,67,251,57,251,42,251,30,251,28,251,24,251,0,251,227,250,220,250,225,250,227,250,236,250,
251,250,253,250,1,251,30,251,66,251,80,251,75,251,51,251,17,251,13,251,51,251,80,251,65,251,30,251,1,251,245,250,
4,251,19,251,250,250,204,250,190,250,216,250,4,251,60,251,107,251,122,251,117,251,133,251,179,251,227,251,240,251,215,251,
192,251,212,251,24,252,106,252,155,252,151,252,127,252,134,252,175,252,219,252,254,252,10,253,248,252,244,252,43,253,124,253,
176,253,202,253,224,253,243,253,26,254,95,254,152,254,172,254,190,254,226,254,10,255,64,255,128,255,155,255,139,255,133,255,
155,255,170,255,168,255,169,255,179,255,196,255,226,255,10,0,50,0,80,0,91,0,92,0,102,0,113,0,107,0,105,0,
129,0,160,0,184,0,216,0,247,0,246,0,229,0,223,0,205,0,163,0,142,0,162,0,183,0,185,0,191,0,198,0,
184,0,158,0,151,0,160,0,162,0,158,0,164,0,174,0,183,0,201,0,234,0,9,1,26,1,32,1,29,1,20,1,
18,1,26,1,26,1,4,1,232,0,224,0,250,0,41,1,72,1,58,1,24,1,13,1,32,1,56,1,74,1,84,1,
80,1,73,1,91,1,130,1,158,1,159,1,142,1,128,1,133,1,153,1,160,1,129,1,77,1,45,1,50,1,70,1,
82,1,74,1,51,1,23,1,8,1,10,1,10,1,246,0,218,0,206,0,220,0,252,0,29,1,44,1,40,1,29,1,
28,1,31,1,31,1,23,1,11,1,0,1,0,1,17,1,39,1,38,1,19,1,8,1,13,1,19,1,30,1,50,1,
57,1,50,1,60,1,91,1,101,1,89,1,90,1,100,1,98,1,100,1,118,1,126,1,114,1,105,1,107,1,111,1,
109,1,96,1,77,1,65,1,60,1,44,1,17,1,243,0,213,0,198,0,211,0,225,0,219,0,207,0,191,0,159,0,
135,0,140,0,141,0,119,0,96,0,77,0,51,0,36,0,32,0,7,0,225,255,204,255,183,255,151,255,134,255,131,255,
109,255,78,255,63,255,48,255,27,255,14,255,250,254,207,254,176,254,186,254,203,254,203,254,195,254,182,254,162,254,152,254,
160,254,160,254,131,254,82,254,44,254,32,254,29,254,17,254,5,254,253,253,242,253,230,253,229,253,235,253,228,253,204,253,
179,253,171,253,181,253,190,253,184,253,169,253,150,253,121,253,106,253,125,253,149,253,143,253,130,253,129,253,122,253,101,253,
82,253,62,253,38,253,36,253,55,253,62,253,60,253,71,253,81,253,69,253,55,253,54,253,51,253,42,253,41,253,45,253,
48,253,53,253,63,253,70,253,77,253,95,253,107,253,97,253,82,253,85,253,99,253,109,253,125,253,148,253,156,253,158,253,
181,253,213,253,227,253,242,253,22,254,52,254,60,254,74,254,98,254,106,254,103,254,113,254,126,254,132,254,150,254,181,254,
196,254,197,254,208,254,235,254,6,255,28,255,43,255,43,255,32,255,35,255,58,255,81,255,92,255,102,255,121,255,136,255,
146,255,164,255,188,255,197,255,195,255,202,255,217,255,227,255,235,255,242,255,235,255,227,255,242,255,26,0,61,0,70,0,
63,0,61,0,75,0,95,0,110,0,119,0,133,0,150,0,163,0,172,0,184,0,196,0,206,0,214,0,222,0,230,0,
240,0,243,0,243,0,254,0,23,1,43,1,59,1,85,1,114,1,124,1,124,1,138,1,159,1,167,1,168,1,180,1,
203,1,228,1,0,2,29,2,51,2,70,2,102,2,137,2,154,2,159,2,172,2,179,2,172,2,176,2,214,2,5,3,
40,3,72,3,108,3,136,3,147,3,143,3,131,3,140,3,177,3,211,3,229,3,2,4,38,4,49,4,54,4,81,4,
96,4,77,4,65,4,74,4,64,4,52,4,80,4,117,4,120,4,119,4,137,4,136,4,102,4,68,4,44,4,15,4,
248,3,245,3,252,3,7,4,26,4,31,4,0,4,211,3,181,3,148,3,85,3,15,3,230,2,208,2,189,2,187,2,
191,2,162,2,113,2,79,2,44,2,237,1,169,1,119,1,71,1,30,1,26,1,35,1,22,1,247,0,209,0,152,0,
82,0,22,0,219,255,157,255,109,255,82,255,56,255,26,255,249,254,197,254,128,254,64,254,8,254,193,253,111,253,46,253,
2,253,212,252,163,252,124,252,77,252,251,251,149,251,48,251,192,250,85,250,28,250,12,250,234,249,171,249,99,249,8,249,
147,248,28,248,172,247,68,247,0,247,230,246,208,246,185,246,173,246,142,246,69,246,246,245,176,245,83,245,238,244,171,244,
128,244,91,244,83,244,106,244,121,244,114,244,100,244,76,244,29,244,231,243,187,243,168,243,182,243,239,243,73,244,165,244,
227,244,7,245,33,245,38,245,21,245,24,245,67,245,130,245,211,245,54,246,136,246,189,246,245,246,44,247,62,247,71,247,
116,247,169,247,205,247,7,248,98,248,185,248,9,249,95,249,167,249,215,249,8,250,53,250,75,250,99,250,162,250,1,251,
114,251,237,251,76,252,119,252,146,252,187,252,222,252,237,252,9,253,70,253,146,253,229,253,62,254,140,254,200,254,4,255,
71,255,134,255,188,255,237,255,32,0,95,0,176,0,10,1,106,1,213,1,58,2,130,2,192,2,17,3,96,3,150,3,
204,3,29,4,125,4,223,4,66,5,152,5,217,5,23,6,95,6,159,6,225,6,66,7,188,7,37,8,114,8,186,8,
1,9,48,9,73,9,111,9,170,9,233,9,39,10,103,10,160,10,203,10,246,10,33,11,59,11,72,11,84,11,87,11,
74,11,65,11,73,11,80,11,85,11,106,11,141,11,164,11,163,11,150,11,134,11,111,11,83,11,58,11,40,11,29,11,
23,11,9,11,226,10,183,10,166,10,156,10,116,10,59,10,25,10,9,10,244,9,219,9,190,9,152,9,112,9,76,9,
36,9,1,9,244,8,230,8,190,8,154,8,149,8,141,8,106,8,70,8,42,8,5,8,219,7,187,7,146,7,89,7,
47,7,25,7,248,6,205,6,173,6,129,6,61,6,7,6,235,5,190,5,123,5,73,5,32,5,232,4,190,4,178,4,
154,4,102,4,48,4,245,3,168,3,98,3,42,3,233,2,169,2,133,2,102,2,45,2,232,1,168,1,102,1,40,1,
244,0,185,0,120,0,72,0,40,0,255,255,192,255,117,255,49,255,7,255,241,254,217,254,183,254,138,254,90,254,46,254,
9,254,226,253,183,253,140,253,95,253,58,253,42,253,20,253,233,252,199,252,187,252,164,252,129,252,117,252,117,252,98,252,
74,252,59,252,43,252,36,252,47,252,41,252,12,252,2,252,5,252,240,251,211,251,204,251,209,251,211,251,216,251,217,251,
219,251,235,251,237,251,204,251,173,251,179,251,192,251,200,251,225,251,252,251,254,251,253,251,24,252,58,252,72,252,65,252,
51,252,45,252,54,252,71,252,89,252,106,252,113,252,110,252,116,252,134,252,145,252,144,252,147,252,152,252,150,252,159,252,
193,252,226,252,233,252,224,252,228,252,248,252,10,253,21,253,32,253,41,253,42,253,41,253,51,253,72,253,83,253,75,253,
63,253,64,253,76,253,87,253,89,253,78,253,63,253,66,253,92,253,110,253,114,253,128,253,151,253,161,253,165,253,182,253,
194,253,196,253,209,253,240,253,17,254,50,254,75,254,74,254,61,254,68,254,79,254,79,254,93,254,125,254,147,254,162,254,
197,254,233,254,245,254,253,254,12,255,19,255,30,255,71,255,123,255,149,255,154,255,171,255,209,255,250,255,25,0,50,0,
77,0,105,0,120,0,117,0,105,0,108,0,133,0,162,0,175,0,184,0,202,0,219,0,225,0,228,0,233,0,242,0,
1,1,22,1,38,1,46,1,51,1,58,1,65,1,68,1,71,1,86,1,111,1,123,1,120,1,119,1,116,1,98,1,
75,1,61,1,49,1,51,1,81,1,115,1,126,1,133,1,152,1,157,1,139,1,128,1,131,1,129,1,123,1,126,1,
141,1,172,1,219,1,5,2,21,2,21,2,18,2,12,2,7,2,1,2,232,1,199,1,192,1,220,1,254,1,25,2,
55,2,77,2,81,2,80,2,73,2,37,2,250,1,239,1,246,1,246,1,4,2,47,2,78,2,75,2,58,2,40,2,
16,2,249,1,231,1,201,1,170,1,163,1,170,1,170,1,162,1,154,1,145,1,138,1,130,1,114,1,91,1,68,1,
51,1,46,1,49,1,46,1,35,1,25,1,13,1,255,0,247,0,234,0,205,0,184,0,178,0,165,0,148,0,153,0,
156,0,122,0,81,0,69,0,70,0,65,0,63,0,62,0,58,0,57,0,62,0,65,0,65,0,55,0,29,0,255,255,
237,255,227,255,220,255,218,255,210,255,195,255,194,255,199,255,183,255,144,255,106,255,77,255,62,255,57,255,49,255,38,255,
41,255,53,255,50,255,33,255,15,255,248,254,223,254,213,254,208,254,197,254,185,254,183,254,179,254,166,254,148,254,137,254,
133,254,123,254,98,254,69,254,42,254,16,254,0,254,4,254,7,254,246,253,234,253,241,253,246,253,235,253,230,253,235,253,
238,253,235,253,239,253,245,253,234,253,212,253,200,253,198,253,197,253,199,253,213,253,224,253,221,253,223,253,234,253,233,253,
216,253,194,253,167,253,148,253,163,253,201,253,231,253,252,253,13,254,15,254,12,254,22,254,23,254,252,253,230,253,239,253,
255,253,8,254,21,254,29,254,8,254,235,253,221,253,214,253,205,253,197,253,189,253,183,253,189,253,205,253,204,253,189,253,
190,253,214,253,225,253,217,253,225,253,253,253,13,254,14,254,20,254,30,254,35,254,50,254,75,254,85,254,86,254,94,254,
100,254,108,254,136,254,171,254,187,254,198,254,217,254,226,254,227,254,249,254,39,255,85,255,124,255,164,255,205,255,0,0,
53,0,80,0,76,0,72,0,99,0,155,0,219,0,24,1,86,1,139,1,163,1,166,1,176,1,187,1,181,1,188,1,
232,1,30,2,86,2,167,2,247,2,27,3,36,3,59,3,80,3,86,3,101,3,125,3,143,3,173,3,234,3,52,4,
120,4,183,4,222,4,227,4,220,4,210,4,179,4,143,4,144,4,181,4,229,4,33,5,101,5,137,5,127,5,105,5,
93,5,76,5,56,5,54,5,70,5,93,5,131,5,174,5,193,5,201,5,217,5,220,5,181,5,127,5,97,5,89,5,
87,5,94,5,118,5,151,5,177,5,179,5,146,5,85,5,15,5,223,4,200,4,177,4,156,4,162,4,190,4,203,4,
196,4,180,4,134,4,61,4,252,3,204,3,154,3,117,3,102,3,75,3,31,3,10,3,2,3,214,2,135,2,58,2,
238,1,156,1,83,1,20,1,215,0,158,0,110,0,65,0,17,0,218,255,144,255,52,255,222,254,148,254,71,254,234,253,
140,253,60,253,234,252,133,252,32,252,202,251,111,251,2,251,151,250,57,250,213,249,94,249,218,248,81,248,203,247,64,247,
165,246,28,246,207,245,176,245,149,245,121,245,70,245,209,244,46,244,150,243,16,243,150,242,79,242,60,242,48,242,45,242,
63,242,44,242,204,241,86,241,243,240,138,240,28,240,202,239,139,239,86,239,85,239,147,239,211,239,248,239,29,240,54,240,
22,240,206,239,140,239,89,239,72,239,146,239,44,240,201,240,75,241,193,241,0,242,223,241,154,241,121,241,107,241,115,241,
203,241,98,242,231,242,86,243,206,243,36,244,49,244,44,244,67,244,97,244,132,244,205,244,62,245,195,245,93,246,250,246,
119,247,218,247,52,248,98,248,86,248,79,248,129,248,213,248,62,249,216,249,133,250,4,251,94,251,173,251,207,251,191,251,
196,251,244,251,47,252,141,252,44,253,207,253,74,254,201,254,77,255,166,255,231,255,54,0,116,0,156,0,241,0,118,1,
235,1,88,2,228,2,102,3,193,3,24,4,113,4,171,4,219,4,52,5,166,5,14,6,116,6,225,6,68,7,159,7,
8,8,113,8,184,8,249,8,108,9,247,9,97,10,180,10,21,11,98,11,132,11,161,11,213,11,10,12,67,12,132,12,
174,12,203,12,16,13,91,13,100,13,80,13,99,13,126,13,125,13,139,13,170,13,161,13,131,13,144,13,178,13,184,13,
185,13,199,13,185,13,136,13,95,13,75,13,52,13,26,13,252,12,204,12,149,12,110,12,75,12,16,12,203,11,146,11,
99,11,69,11,62,11,45,11,253,10,199,10,146,10,65,10,231,9,176,9,144,9,104,9,73,9,67,9,51,9,14,9,
233,8,186,8,110,8,27,8,210,7,136,7,64,7,15,7,241,6,213,6,180,6,134,6,76,6,19,6,215,5,136,5,
52,5,245,4,192,4,130,4,70,4,22,4,226,3,162,3,103,3,54,3,244,2,156,2,70,2,250,1,166,1,80,1,
19,1,233,0,178,0,111,0,37,0,199,255,93,255,6,255,190,254,120,254,71,254,47,254,15,254,220,253,167,253,101,253,
7,253,167,252,94,252,40,252,3,252,241,251,229,251,202,251,159,251,115,251,76,251,31,251,233,250,191,250,162,250,127,250,
91,250,82,250,87,250,77,250,72,250,89,250,101,250,101,250,110,250,101,250,62,250,45,250,74,250,94,250,89,250,104,250,
133,250,140,250,139,250,149,250,148,250,138,250,150,250,175,250,194,250,219,250,254,250,13,251,9,251,23,251,48,251,50,251,
38,251,46,251,79,251,115,251,152,251,189,251,216,251,227,251,233,251,238,251,242,251,252,251,18,252,34,252,40,252,54,252,
89,252,132,252,165,252,184,252,198,252,220,252,247,252,15,253,38,253,58,253,75,253,98,253,142,253,198,253,250,253,41,254,
84,254,119,254,153,254,187,254,212,254,230,254,254,254,33,255,76,255,130,255,191,255,247,255,43,0,87,0,119,0,149,0,
179,0,201,0,224,0,16,1,75,1,126,1,178,1,230,1,6,2,32,2,71,2,107,2,126,2,144,2,165,2,177,2,
193,2,221,2,246,2,8,3,25,3,35,3,35,3,42,3,49,3,43,3,24,3,8,3,4,3,18,3,35,3,25,3,
3,3,251,2,237,2,193,2,144,2,115,2,92,2,76,2,79,2,83,2,61,2,27,2,253,1,217,1,167,1,122,1,
91,1,64,1,34,1,11,1,254,0,238,0,215,0,192,0,168,0,137,0,106,0,79,0,42,0,255,255,234,255,230,255,
222,255,215,255,216,255,209,255,189,255,177,255,169,255,145,255,115,255,90,255,57,255,28,255,39,255,71,255,79,255,65,255,
65,255,68,255,49,255,29,255,19,255,250,254,207,254,190,254,208,254,212,254,192,254,185,254,191,254,184,254,176,254,184,254,
179,254,150,254,127,254,116,254,99,254,86,254,93,254,97,254,84,254,70,254,64,254,66,254,81,254,93,254,75,254,43,254,
31,254,36,254,33,254,29,254,33,254,38,254,39,254,47,254,62,254,68,254,66,254,71,254,76,254,79,254,90,254,113,254,
127,254,137,254,165,254,199,254,211,254,221,254,254,254,32,255,49,255,68,255,88,255,88,255,89,255,110,255,137,255,166,255,
212,255,254,255,19,0,42,0,72,0,88,0,100,0,127,0,151,0,169,0,209,0,0,1,22,1,38,1,64,1,86,1,
111,1,152,1,179,1,183,1,201,1,229,1,226,1,211,1,224,1,244,1,245,1,251,1,17,2,35,2,44,2,52,2,
57,2,54,2,53,2,51,2,43,2,38,2,43,2,46,2,45,2,52,2,68,2,78,2,76,2,68,2,58,2,36,2,
8,2,245,1,232,1,215,1,198,1,189,1,183,1,177,1,179,1,183,1,166,1,132,1,108,1,98,1,85,1,61,1,
39,1,30,1,31,1,39,1,45,1,30,1,253,0,233,0,227,0,206,0,174,0,158,0,147,0,122,0,100,0,91,0,
73,0,45,0,27,0,14,0,251,255,237,255,220,255,181,255,142,255,129,255,126,255,110,255,91,255,77,255,59,255,36,255,
12,255,235,254,195,254,155,254,120,254,91,254,66,254,45,254,27,254,6,254,227,253,182,253,144,253,109,253,65,253,12,253,
217,252,177,252,155,252,148,252,138,252,123,252,112,252,94,252,65,252,37,252,11,252,231,251,197,251,180,251,163,251,141,251,
130,251,133,251,134,251,126,251,110,251,95,251,88,251,86,251,76,251,66,251,68,251,75,251,78,251,77,251,73,251,71,251,
84,251,103,251,119,251,151,251,199,251,225,251,228,251,246,251,20,252,36,252,45,252,62,252,75,252,94,252,145,252,209,252,
255,252,39,253,92,253,141,253,177,253,225,253,30,254,79,254,114,254,154,254,205,254,0,255,59,255,141,255,224,255,24,0,
70,0,133,0,202,0,254,0,41,1,90,1,145,1,204,1,2,2,41,2,76,2,128,2,192,2,11,3,112,3,232,3,
71,4,132,4,178,4,217,4,243,4,15,5,60,5,108,5,158,5,233,5,76,6,156,6,204,6,253,6,53,7,84,7,
91,7,110,7,137,7,154,7,179,7,223,7,11,8,51,8,103,8,149,8,173,8,190,8,210,8,221,8,230,8,243,8,
248,8,253,8,20,9,36,9,24,9,9,9,255,8,220,8,175,8,169,8,189,8,192,8,185,8,186,8,174,8,133,8,
78,8,25,8,229,7,183,7,149,7,129,7,116,7,103,7,95,7,83,7,43,7,237,6,174,6,99,6,1,6,169,5,
109,5,48,5,240,4,198,4,157,4,92,4,34,4,243,3,163,3,53,3,217,2,133,2,30,2,191,1,119,1,37,1,
201,0,138,0,88,0,8,0,155,255,40,255,178,254,63,254,213,253,100,253,226,252,98,252,237,251,120,251,4,251,150,250,
30,250,146,249,12,249,150,248,24,248,137,247,251,246,111,246,235,245,142,245,82,245,250,244,117,244,239,243,111,243,230,242,
110,242,22,242,194,241,111,241,55,241,10,241,207,240,143,240,69,240,219,239,107,239,14,239,165,238,50,238,233,237,200,237,
156,237,118,237,133,237,171,237,173,237,153,237,129,237,79,237,9,237,227,236,238,236,14,237,73,237,180,237,43,238,128,238,
196,238,16,239,66,239,75,239,91,239,138,239,201,239,28,240,128,240,202,240,250,240,76,241,197,241,51,242,134,242,206,242,
4,243,57,243,140,243,242,243,79,244,183,244,53,245,171,245,13,246,110,246,206,246,27,247,92,247,172,247,19,248,135,248,
248,248,96,249,183,249,247,249,48,250,131,250,233,250,63,251,131,251,210,251,46,252,143,252,0,253,122,253,235,253,82,254,
173,254,249,254,86,255,214,255,81,0,173,0,15,1,143,1,21,2,155,2,29,3,126,3,191,3,13,4,113,4,207,4,
45,5,149,5,245,5,69,6,157,6,9,7,127,7,241,7,90,8,189,8,40,9,160,9,19,10,109,10,179,10,247,10,
71,11,163,11,251,11,64,12,122,12,187,12,3,13,67,13,119,13,164,13,198,13,221,13,241,13,248,13,227,13,205,13,
215,13,245,13,7,14,21,14,43,14,67,14,86,14,95,14,78,14,39,14,2,14,231,13,213,13,216,13,227,13,207,13,
151,13,90,13,40,13,255,12,215,12,155,12,72,12,1,12,217,11,190,11,159,11,117,11,53,11,233,10,179,10,154,10,
129,10,82,10,19,10,220,9,188,9,169,9,151,9,129,9,92,9,27,9,211,8,155,8,98,8,25,8,209,7,149,7,
94,7,53,7,18,7,211,6,124,6,42,6,216,5,130,5,69,5,30,5,235,4,177,4,131,4,76,4,4,4,200,3,
144,3,66,3,239,2,168,2,89,2,2,2,184,1,111,1,25,1,203,0,136,0,50,0,198,255,102,255,18,255,181,254,
85,254,8,254,203,253,135,253,50,253,223,252,153,252,84,252,8,252,191,251,127,251,70,251,23,251,235,250,175,250,97,250,
27,250,230,249,177,249,112,249,43,249,244,248,197,248,148,248,105,248,73,248,32,248,237,247,212,247,213,247,199,247,167,247,
145,247,125,247,98,247,96,247,122,247,126,247,101,247,85,247,83,247,77,247,81,247,101,247,104,247,87,247,83,247,100,247,
116,247,119,247,111,247,90,247,79,247,99,247,136,247,156,247,159,247,172,247,199,247,235,247,30,248,74,248,85,248,79,248,
103,248,148,248,182,248,205,248,232,248,255,248,21,249,58,249,103,249,136,249,161,249,186,249,213,249,249,249,36,250,78,250,
120,250,164,250,199,250,241,250,53,251,124,251,175,251,227,251,27,252,70,252,117,252,191,252,7,253,61,253,122,253,189,253,
239,253,33,254,100,254,156,254,194,254,244,254,50,255,104,255,159,255,220,255,19,0,72,0,128,0,180,0,230,0,37,1,
107,1,171,1,233,1,33,2,80,2,127,2,172,2,210,2,5,3,70,3,111,3,126,3,160,3,215,3,255,3,29,4,
68,4,99,4,118,4,149,4,197,4,232,4,244,4,253,4,15,5,46,5,86,5,121,5,138,5,141,5,142,5,152,5,
169,5,193,5,219,5,234,5,236,5,238,5,244,5,241,5,226,5,208,5,187,5,172,5,175,5,185,5,180,5,169,5,
164,5,152,5,131,5,118,5,113,5,99,5,80,5,63,5,40,5,22,5,16,5,1,5,224,4,197,4,187,4,172,4,
138,4,97,4,64,4,41,4,21,4,253,3,228,3,206,3,179,3,139,3,97,3,64,3,37,3,9,3,232,2,200,2,
173,2,145,2,110,2,77,2,45,2,7,2,226,1,199,1,166,1,114,1,58,1,5,1,210,0,171,0,137,0,84,0,
16,0,220,255,182,255,142,255,104,255,67,255,11,255,200,254,150,254,118,254,80,254,25,254,220,253,173,253,147,253,125,253,
90,253,37,253,231,252,169,252,121,252,87,252,49,252,7,252,224,251,188,251,156,251,131,251,98,251,45,251,251,250,225,250,
207,250,184,250,162,250,143,250,124,250,111,250,102,250,95,250,95,250,100,250,99,250,93,250,87,250,83,250,81,250,80,250,
75,250,71,250,82,250,103,250,117,250,120,250,115,250,120,250,147,250,182,250,196,250,204,250,221,250,231,250,230,250,251,250,
39,251,71,251,97,251,140,251,184,251,209,251,237,251,18,252,40,252,52,252,75,252,110,252,146,252,186,252,227,252,7,253,
40,253,76,253,111,253,136,253,157,253,183,253,219,253,3,254,43,254,91,254,146,254,193,254,225,254,2,255,42,255,81,255,
114,255,153,255,205,255,2,0,41,0,81,0,128,0,160,0,178,0,208,0,254,0,39,1,80,1,135,1,192,1,245,1,
42,2,80,2,100,2,138,2,190,2,217,2,237,2,37,3,101,3,137,3,183,3,1,4,56,4,83,4,116,4,150,4,
165,4,175,4,194,4,216,4,245,4,31,5,76,5,116,5,154,5,177,5,182,5,188,5,201,5,216,5,234,5,254,5,
4,6,5,6,14,6,25,6,33,6,45,6,47,6,25,6,3,6,4,6,9,6,253,5,226,5,197,5,174,5,160,5,
146,5,120,5,92,5,77,5,58,5,20,5,238,4,216,4,187,4,135,4,88,4,64,4,36,4,250,3,220,3,201,3,
158,3,96,3,57,3,32,3,237,2,166,2,104,2,58,2,20,2,250,1,229,1,193,1,143,1,98,1,61,1,20,1,
236,0,210,0,192,0,167,0,134,0,98,0,60,0,23,0,0,0,230,255,189,255,160,255,163,255,158,255,119,255,83,255,
70,255,62,255,49,255,42,255,25,255,241,254,199,254,177,254,174,254,190,254,215,254,227,254,224,254,233,254,254,254,4,255,
239,254,206,254,177,254,160,254,158,254,174,254,200,254,222,254,235,254,245,254,244,254,233,254,232,254,237,254,229,254,219,254,
221,254,216,254,202,254,216,254,254,254,16,255,19,255,42,255,65,255,65,255,66,255,70,255,51,255,23,255,34,255,80,255,
120,255,143,255,156,255,162,255,164,255,163,255,166,255,175,255,179,255,170,255,166,255,187,255,221,255,248,255,9,0,10,0,
1,0,255,255,10,0,26,0,37,0,42,0,42,0,48,0,65,0,77,0,84,0,90,0,77,0,39,0,12,0,13,0,
14,0,6,0,0,0,242,255,217,255,207,255,208,255,179,255,122,255,72,255,41,255,22,255,12,255,252,254,220,254,184,254,
139,254,72,254,3,254,213,253,167,253,101,253,43,253,2,253,205,252,138,252,80,252,14,252,174,251,65,251,218,250,105,250,
248,249,177,249,151,249,141,249,127,249,98,249,29,249,175,248,59,248,205,247,90,247,240,246,177,246,160,246,171,246,195,246,
210,246,182,246,114,246,41,246,232,245,147,245,40,245,203,244,146,244,115,244,121,244,186,244,17,245,63,245,65,245,51,245,
19,245,221,244,169,244,136,244,125,244,163,244,1,245,100,245,179,245,254,245,47,246,33,246,246,245,228,245,225,245,231,245,
22,246,93,246,148,246,202,246,24,247,92,247,134,247,171,247,192,247,178,247,178,247,239,247,73,248,154,248,245,248,103,249,
216,249,52,250,112,250,122,250,98,250,88,250,125,250,202,250,48,251,162,251,1,252,61,252,114,252,180,252,236,252,7,253,
25,253,52,253,94,253,172,253,37,254,155,254,246,254,93,255,213,255,49,0,112,0,179,0,232,0,5,1,57,1,154,1,
9,2,133,2,23,3,146,3,217,3,12,4,61,4,96,4,138,4,210,4,39,5,122,5,227,5,96,6,206,6,33,7,
104,7,170,7,238,7,65,8,157,8,237,8,45,9,102,9,156,9,209,9,18,10,90,10,142,10,161,10,178,10,218,10,
0,11,17,11,39,11,74,11,92,11,96,11,115,11,133,11,117,11,86,11,75,11,84,11,102,11,129,11,149,11,149,11,
145,11,138,11,101,11,43,11,3,11,238,10,213,10,184,10,157,10,121,10,70,10,11,10,206,9,148,9,98,9,52,9,
2,9,217,8,192,8,166,8,125,8,76,8,29,8,238,7,185,7,127,7,67,7,12,7,225,6,193,6,174,6,163,6,
134,6,71,6,244,5,164,5,88,5,7,5,182,4,107,4,53,4,26,4,5,4,221,3,169,3,114,3,44,3,217,2,
150,2,95,2,27,2,213,1,169,1,137,1,96,1,58,1,24,1,224,0,145,0,64,0,237,255,144,255,48,255,221,254,
153,254,99,254,54,254,19,254,243,253,195,253,120,253,34,253,220,252,162,252,110,252,64,252,15,252,215,251,169,251,143,251,
116,251,71,251,23,251,244,250,212,250,174,250,131,250,81,250,22,250,223,249,183,249,154,249,123,249,93,249,68,249,37,249,
1,249,234,248,233,248,237,248,242,248,254,248,8,249,7,249,1,249,251,248,238,248,226,248,228,248,231,248,231,248,246,248,
14,249,24,249,29,249,43,249,57,249,59,249,64,249,79,249,88,249,94,249,117,249,156,249,191,249,217,249,246,249,27,250,
62,250,97,250,144,250,187,250,208,250,235,250,35,251,87,251,114,251,144,251,187,251,212,251,228,251,12,252,56,252,83,252,
122,252,181,252,227,252,3,253,46,253,83,253,107,253,152,253,216,253,4,254,43,254,111,254,191,254,252,254,48,255,101,255,
135,255,159,255,201,255,2,0,53,0,94,0,137,0,188,0,249,0,60,1,118,1,157,1,178,1,196,1,222,1,3,2,
47,2,89,2,126,2,172,2,234,2,39,3,81,3,109,3,137,3,164,3,195,3,234,3,20,4,49,4,68,4,83,4,
97,4,114,4,137,4,158,4,168,4,176,4,191,4,211,4,227,4,233,4,236,4,248,4,6,5,4,5,244,4,242,4,
2,5,16,5,21,5,27,5,34,5,31,5,20,5,13,5,5,5,246,4,228,4,213,4,202,4,198,4,201,4,193,4,
165,4,134,4,114,4,90,4,58,4,32,4,18,4,8,4,1,4,249,3,223,3,187,3,161,3,137,3,100,3,60,3,
30,3,2,3,234,2,222,2,205,2,170,2,132,2,105,2,76,2,32,2,239,1,196,1,155,1,121,1,102,1,87,1,
64,1,33,1,4,1,232,0,200,0,166,0,130,0,88,0,49,0,25,0,9,0,241,255,205,255,163,255,122,255,90,255,
59,255,23,255,246,254,225,254,197,254,155,254,116,254,80,254,34,254,252,253,235,253,213,253,176,253,147,253,129,253,104,253,
81,253,59,253,28,253,250,252,222,252,184,252,138,252,110,252,90,252,64,252,52,252,59,252,44,252,3,252,227,251,208,251,
183,251,161,251,154,251,143,251,126,251,117,251,118,251,125,251,135,251,133,251,115,251,101,251,104,251,114,251,123,251,126,251,
126,251,135,251,164,251,199,251,227,251,244,251,245,251,239,251,253,251,30,252,57,252,82,252,120,252,157,252,184,252,221,252,
14,253,51,253,72,253,98,253,130,253,166,253,211,253,4,254,36,254,64,254,113,254,178,254,232,254,14,255,51,255,87,255,
114,255,140,255,182,255,239,255,43,0,90,0,120,0,150,0,189,0,223,0,243,0,13,1,60,1,109,1,144,1,182,1,
225,1,0,2,31,2,75,2,111,2,129,2,151,2,183,2,198,2,198,2,213,2,253,2,42,3,78,3,98,3,109,3,
129,3,155,3,168,3,164,3,163,3,175,3,196,3,218,3,242,3,10,4,35,4,59,4,73,4,85,4,104,4,122,4,
126,4,130,4,147,4,156,4,146,4,146,4,172,4,198,4,213,4,247,4,38,5,55,5,37,5,11,5,244,4,232,4,
247,4,26,5,64,5,107,5,148,5,169,5,173,5,173,5,159,5,129,5,117,5,124,5,121,5,107,5,109,5,127,5,
152,5,181,5,198,5,187,5,157,5,117,5,68,5,22,5,251,4,244,4,249,4,5,5,26,5,51,5,59,5,26,5,
216,4,143,4,77,4,29,4,13,4,21,4,26,4,26,4,26,4,1,4,203,3,143,3,81,3,9,3,205,2,171,2,
146,2,126,2,120,2,109,2,78,2,44,2,14,2,224,1,162,1,90,1,16,1,226,0,221,0,224,0,219,0,222,0,
214,0,163,0,94,0,39,0,233,255,159,255,112,255,98,255,84,255,76,255,89,255,91,255,62,255,29,255,0,255,207,254,
137,254,80,254,51,254,40,254,36,254,28,254,8,254,245,253,240,253,229,253,187,253,128,253,76,253,18,253,212,252,181,252,
180,252,157,252,105,252,64,252,39,252,9,252,231,251,195,251,134,251,69,251,39,251,25,251,242,250,187,250,143,250,98,250,
47,250,16,250,252,249,202,249,129,249,73,249,34,249,243,248,192,248,147,248,84,248,250,247,175,247,135,247,94,247,32,247,
227,246,175,246,124,246,86,246,66,246,39,246,1,246,230,245,204,245,157,245,109,245,80,245,42,245,243,244,207,244,202,244,
205,244,204,244,200,244,176,244,137,244,120,244,131,244,132,244,112,244,98,244,95,244,87,244,78,244,85,244,106,244,130,244,
162,244,199,244,239,244,31,245,72,245,78,245,68,245,80,245,109,245,136,245,170,245,211,245,237,245,8,246,61,246,114,246,
149,246,191,246,234,246,252,246,18,247,61,247,86,247,92,247,143,247,236,247,65,248,144,248,236,248,53,249,105,249,167,249,
224,249,254,249,33,250,94,250,149,250,208,250,53,251,159,251,219,251,8,252,82,252,149,252,179,252,207,252,8,253,81,253,
161,253,8,254,130,254,240,254,77,255,164,255,240,255,45,0,113,0,190,0,255,0,72,1,184,1,42,2,117,2,194,2,
49,3,143,3,196,3,253,3,62,4,103,4,147,4,229,4,57,5,125,5,215,5,71,6,160,6,217,6,19,7,76,7,
117,7,159,7,220,7,39,8,120,8,211,8,40,9,97,9,132,9,164,9,186,9,179,9,169,9,191,9,238,9,20,10,
51,10,85,10,117,10,147,10,173,10,174,10,148,10,129,10,135,10,149,10,162,10,177,10,190,10,206,10,239,10,18,11,
24,11,0,11,222,10,180,10,128,10,90,10,80,10,78,10,61,10,37,10,27,10,22,10,251,9,198,9,138,9,77,9,
17,9,231,8,213,8,199,8,180,8,163,8,142,8,109,8,73,8,40,8,248,7,171,7,97,7,52,7,17,7,225,6,
175,6,133,6,80,6,6,6,188,5,123,5,51,5,228,4,164,4,114,4,64,4,13,4,216,3,152,3,83,3,20,3,
220,2,166,2,115,2,61,2,2,2,197,1,144,1,96,1,41,1,227,0,152,0,83,0,12,0,195,255,135,255,79,255,
9,255,200,254,165,254,130,254,72,254,15,254,224,253,174,253,131,253,101,253,60,253,13,253,253,252,251,252,228,252,197,252,
170,252,119,252,56,252,28,252,21,252,1,252,247,251,0,252,245,251,205,251,174,251,154,251,125,251,98,251,95,251,112,251,
134,251,152,251,160,251,158,251,151,251,155,251,184,251,219,251,228,251,226,251,245,251,20,252,40,252,59,252,87,252,110,252,
125,252,145,252,165,252,180,252,197,252,214,252,227,252,0,253,63,253,141,253,199,253,232,253,0,254,29,254,66,254,109,254,
154,254,204,254,2,255,56,255,107,255,155,255,208,255,7,0,51,0,89,0,140,0,190,0,213,0,231,0,12,1,53,1,
93,1,157,1,233,1,33,2,77,2,133,2,180,2,206,2,242,2,33,3,69,3,104,3,156,3,205,3,240,3,26,4,
77,4,123,4,166,4,210,4,239,4,247,4,248,4,253,4,9,5,36,5,70,5,103,5,141,5,184,5,212,5,214,5,
202,5,194,5,192,5,197,5,211,5,233,5,254,5,9,6,4,6,239,5,219,5,204,5,187,5,164,5,142,5,115,5,
77,5,47,5,31,5,10,5,233,4,202,4,170,4,121,4,70,4,26,4,230,3,169,3,117,3,78,3,39,3,252,2,
205,2,148,2,88,2,26,2,205,1,118,1,44,1,241,0,177,0,105,0,36,0,226,255,149,255,61,255,236,254,167,254,
91,254,0,254,174,253,107,253,36,253,219,252,158,252,96,252,25,252,223,251,178,251,111,251,29,251,213,250,136,250,47,250,
237,249,196,249,140,249,76,249,30,249,249,248,202,248,158,248,111,248,42,248,224,247,164,247,107,247,53,247,20,247,11,247,
3,247,249,246,245,246,242,246,216,246,163,246,109,246,76,246,54,246,33,246,28,246,37,246,42,246,45,246,56,246,52,246,
28,246,12,246,3,246,237,245,221,245,237,245,8,246,27,246,49,246,80,246,111,246,141,246,169,246,182,246,183,246,196,246,
227,246,12,247,55,247,102,247,157,247,216,247,13,248,56,248,90,248,110,248,129,248,166,248,226,248,41,249,118,249,192,249,
252,249,50,250,112,250,164,250,202,250,255,250,79,251,153,251,221,251,49,252,138,252,209,252,21,253,102,253,183,253,249,253,
49,254,108,254,173,254,243,254,61,255,146,255,238,255,64,0,133,0,203,0,16,1,76,1,135,1,195,1,245,1,45,2,
132,2,228,2,45,3,111,3,191,3,11,4,63,4,113,4,176,4,239,4,43,5,110,5,172,5,221,5,16,6,76,6,
132,6,192,6,8,7,65,7,97,7,137,7,194,7,232,7,248,7,27,8,87,8,143,8,192,8,243,8,30,9,64,9,
99,9,129,9,162,9,214,9,13,10,43,10,59,10,84,10,108,10,127,10,158,10,196,10,224,10,243,10,3,11,16,11,
29,11,36,11,26,11,15,11,26,11,55,11,90,11,126,11,140,11,118,11,94,11,88,11,83,11,79,11,95,11,109,11,
91,11,66,11,67,11,74,11,50,11,3,11,220,10,194,10,176,10,158,10,128,10,77,10,23,10,252,9,243,9,223,9,
190,9,160,9,115,9,46,9,244,8,208,8,163,8,103,8,66,8,54,8,32,8,248,7,191,7,117,7,39,7,229,6,
167,6,107,6,60,6,21,6,226,5,169,5,114,5,49,5,228,4,147,4,73,4,9,4,213,3,163,3,108,3,54,3,
3,3,212,2,168,2,116,2,50,2,236,1,163,1,80,1,2,1,199,0,139,0,70,0,19,0,237,255,172,255,87,255,
16,255,203,254,116,254,31,254,225,253,171,253,112,253,46,253,234,252,167,252,110,252,62,252,9,252,202,251,133,251,59,251,
237,250,149,250,61,250,243,249,183,249,122,249,60,249,3,249,204,248,139,248,65,248,240,247,153,247,71,247,3,247,191,246,
111,246,34,246,230,245,177,245,118,245,53,245,235,244,143,244,41,244,208,243,127,243,33,243,188,242,109,242,56,242,3,242,
192,241,109,241,6,241,138,240,14,240,168,239,92,239,30,239,240,238,223,238,223,238,208,238,162,238,86,238,247,237,159,237,
103,237,66,237,34,237,24,237,46,237,82,237,131,237,189,237,205,237,158,237,97,237,54,237,18,237,6,237,46,237,110,237,
173,237,11,238,135,238,234,238,35,239,74,239,91,239,95,239,139,239,239,239,92,240,191,240,56,241,204,241,97,242,235,242,
101,243,187,243,226,243,254,243,64,244,174,244,45,245,179,245,65,246,205,246,78,247,198,247,42,248,113,248,180,248,13,249,
110,249,224,249,133,250,67,251,213,251,56,252,148,252,236,252,54,253,133,253,224,253,64,254,166,254,25,255,144,255,254,255,
98,0,190,0,9,1,63,1,119,1,205,1,50,2,141,2,236,2,89,3,201,3,59,4,187,4,38,5,99,5,154,5,
239,5,70,6,152,6,7,7,140,7,4,8,116,8,230,8,65,9,134,9,201,9,3,10,56,10,135,10,240,10,79,11,
176,11,36,12,138,12,209,12,25,13,104,13,172,13,242,13,72,14,150,14,210,14,12,15,77,15,144,15,203,15,228,15,
221,15,225,15,16,16,72,16,100,16,107,16,107,16,102,16,92,16,75,16,33,16,220,15,161,15,137,15,140,15,156,15,
172,15,157,15,105,15,55,15,20,15,222,14,144,14,75,14,18,14,215,13,167,13,141,13,110,13,55,13,246,12,185,12,
126,12,63,12,248,11,154,11,47,11,223,10,195,10,188,10,168,10,140,10,107,10,53,10,232,9,157,9,90,9,22,9,
231,8,227,8,242,8,235,8,207,8,171,8,116,8,41,8,224,7,164,7,112,7,75,7,54,7,31,7,0,7,226,6,
189,6,143,6,94,6,45,6,243,5,183,5,128,5,85,5,58,5,40,5,15,5,234,4,193,4,152,4,107,4,39,4,
202,3,120,3,81,3,56,3,11,3,214,2,164,2,103,2,42,2,250,1,197,1,130,1,69,1,17,1,220,0,182,0,
167,0,140,0,81,0,19,0,237,255,210,255,170,255,122,255,90,255,76,255,60,255,37,255,12,255,230,254,169,254,105,254,
58,254,14,254,223,253,198,253,200,253,205,253,198,253,175,253,127,253,68,253,16,253,217,252,158,252,121,252,102,252,88,252,
86,252,83,252,39,252,224,251,168,251,116,251,51,251,249,250,193,250,115,250,36,250,239,249,191,249,127,249,64,249,0,249,
174,248,87,248,12,248,194,247,110,247,34,247,232,246,175,246,100,246,19,246,202,245,127,245,47,245,236,244,181,244,119,244,
53,244,6,244,224,243,166,243,89,243,9,243,192,242,138,242,116,242,109,242,92,242,71,242,67,242,74,242,77,242,67,242,
34,242,237,241,194,241,180,241,188,241,221,241,25,242,81,242,121,242,171,242,229,242,251,242,236,242,225,242,235,242,6,243,
70,243,178,243,18,244,64,244,102,244,167,244,228,244,17,245,77,245,145,245,193,245,252,245,86,246,165,246,218,246,31,247,
108,247,158,247,206,247,19,248,83,248,138,248,213,248,43,249,108,249,176,249,18,250,114,250,172,250,204,250,232,250,2,251,
43,251,125,251,229,251,70,252,164,252,11,253,105,253,185,253,249,253,21,254,22,254,54,254,140,254,240,254,81,255,196,255,
53,0,131,0,196,0,24,1,111,1,174,1,224,1,26,2,100,2,205,2,71,3,176,3,9,4,108,4,200,4,15,5,
95,5,189,5,6,6,61,6,131,6,214,6,43,7,143,7,243,7,57,8,103,8,151,8,208,8,17,9,86,9,147,9,
197,9,249,9,63,10,142,10,205,10,241,10,5,11,16,11,22,11,39,11,80,11,128,11,165,11,204,11,243,11,16,12,
39,12,48,12,14,12,210,11,176,11,174,11,174,11,177,11,195,11,207,11,193,11,175,11,167,11,145,11,103,11,62,11,
26,11,240,10,199,10,170,10,149,10,130,10,108,10,77,10,38,10,1,10,216,9,157,9,88,9,25,9,231,8,185,8,
135,8,87,8,45,8,253,7,192,7,130,7,73,7,21,7,235,6,200,6,151,6,93,6,41,6,253,5,210,5,161,5,
96,5,22,5,216,4,168,4,127,4,89,4,45,4,239,3,174,3,125,3,79,3,16,3,194,2,123,2,74,2,42,2,
10,2,235,1,205,1,158,1,98,1,49,1,8,1,215,0,167,0,128,0,88,0,49,0,18,0,235,255,181,255,132,255,
100,255,65,255,22,255,250,254,234,254,202,254,145,254,85,254,38,254,11,254,250,253,227,253,201,253,179,253,159,253,137,253,
131,253,133,253,119,253,95,253,78,253,54,253,20,253,250,252,230,252,201,252,176,252,167,252,163,252,157,252,147,252,124,252,
88,252,49,252,19,252,9,252,7,252,248,251,230,251,227,251,227,251,215,251,199,251,182,251,157,251,131,251,108,251,81,251,
54,251,31,251,3,251,227,250,206,250,191,250,167,250,139,250,112,250,77,250,27,250,228,249,187,249,162,249,136,249,94,249,
47,249,2,249,212,248,175,248,167,248,177,248,173,248,142,248,87,248,5,248,168,247,102,247,55,247,3,247,231,246,252,246,
11,247,239,246,201,246,161,246,95,246,31,246,253,245,216,245,157,245,113,245,84,245,55,245,53,245,93,245,129,245,134,245,
135,245,142,245,126,245,81,245,47,245,41,245,59,245,103,245,175,245,243,245,23,246,38,246,42,246,30,246,15,246,16,246,
40,246,88,246,153,246,213,246,11,247,72,247,132,247,170,247,194,247,227,247,18,248,70,248,128,248,195,248,15,249,98,249,
192,249,36,250,122,250,177,250,210,250,229,250,238,250,10,251,76,251,157,251,228,251,50,252,146,252,235,252,37,253,78,253,
110,253,124,253,141,253,197,253,27,254,102,254,175,254,17,255,129,255,228,255,54,0,113,0,144,0,168,0,204,0,250,0,
42,1,99,1,172,1,2,2,84,2,158,2,233,2,40,3,68,3,86,3,128,3,189,3,0,4,85,4,173,4,246,4,
72,5,171,5,1,6,66,6,130,6,193,6,250,6,61,7,143,7,216,7,11,8,56,8,112,8,170,8,214,8,251,8,
34,9,68,9,101,9,149,9,203,9,242,9,22,10,74,10,117,10,134,10,153,10,186,10,204,10,211,10,242,10,27,11,
47,11,56,11,64,11,48,11,19,11,8,11,243,10,190,10,148,10,137,10,121,10,100,10,89,10,56,10,248,9,195,9,
157,9,108,9,61,9,31,9,0,9,220,8,195,8,183,8,170,8,135,8,71,8,254,7,198,7,153,7,104,7,48,7,
237,6,171,6,124,6,85,6,29,6,217,5,153,5,90,5,31,5,240,4,198,4,153,4,110,4,72,4,24,4,233,3,
211,3,194,3,144,3,81,3,42,3,14,3,228,2,185,2,148,2,104,2,57,2,11,2,209,1,136,1,71,1,16,1,
215,0,161,0,120,0,85,0,45,0,254,255,211,255,175,255,143,255,117,255,91,255,55,255,22,255,4,255,238,254,192,254,
145,254,102,254,43,254,241,253,217,253,206,253,175,253,136,253,99,253,57,253,15,253,235,252,191,252,136,252,88,252,65,252,
64,252,64,252,55,252,48,252,51,252,60,252,67,252,70,252,66,252,49,252,29,252,23,252,31,252,31,252,16,252,11,252,
26,252,37,252,37,252,40,252,35,252,23,252,25,252,45,252,59,252,72,252,96,252,123,252,149,252,183,252,222,252,252,252,
22,253,57,253,97,253,133,253,161,253,191,253,221,253,244,253,254,253,8,254,31,254,60,254,76,254,87,254,119,254,160,254,
181,254,193,254,214,254,232,254,248,254,24,255,57,255,79,255,117,255,167,255,199,255,224,255,3,0,33,0,45,0,61,0,
80,0,90,0,94,0,99,0,107,0,117,0,127,0,138,0,159,0,177,0,177,0,176,0,191,0,206,0,211,0,220,0,
240,0,3,1,18,1,38,1,69,1,99,1,112,1,109,1,103,1,106,1,127,1,152,1,158,1,143,1,133,1,141,1,
151,1,150,1,147,1,142,1,132,1,127,1,143,1,165,1,173,1,174,1,178,1,181,1,193,1,221,1,233,1,219,1,
216,1,234,1,249,1,6,2,28,2,33,2,16,2,2,2,248,1,234,1,218,1,201,1,187,1,191,1,207,1,212,1,
209,1,205,1,200,1,202,1,206,1,191,1,163,1,152,1,154,1,153,1,155,1,166,1,168,1,158,1,151,1,143,1,
123,1,93,1,63,1,36,1,7,1,243,0,239,0,239,0,227,0,202,0,175,0,158,0,151,0,137,0,118,0,112,0,
122,0,127,0,121,0,113,0,101,0,80,0,51,0,31,0,30,0,35,0,28,0,16,0,2,0,240,255,230,255,226,255,
204,255,171,255,159,255,154,255,132,255,118,255,126,255,129,255,117,255,116,255,128,255,136,255,125,255,98,255,74,255,62,255,
49,255,27,255,8,255,1,255,252,254,233,254,197,254,169,254,159,254,134,254,85,254,52,254,50,254,40,254,12,254,253,253,
248,253,227,253,198,253,186,253,186,253,176,253,157,253,146,253,141,253,135,253,120,253,89,253,53,253,34,253,27,253,7,253,
242,252,243,252,246,252,232,252,219,252,214,252,195,252,175,252,179,252,193,252,197,252,195,252,200,252,205,252,207,252,224,252,
1,253,19,253,15,253,17,253,34,253,44,253,47,253,53,253,56,253,54,253,58,253,70,253,89,253,116,253,130,253,127,253,
135,253,161,253,182,253,197,253,222,253,245,253,255,253,8,254,26,254,46,254,66,254,89,254,114,254,138,254,154,254,167,254,
181,254,183,254,176,254,175,254,181,254,191,254,209,254,229,254,241,254,253,254,14,255,23,255,28,255,45,255,64,255,70,255,
72,255,86,255,110,255,132,255,150,255,167,255,181,255,198,255,216,255,231,255,242,255,253,255,5,0,9,0,20,0,40,0,
50,0,51,0,58,0,70,0,81,0,100,0,124,0,142,0,161,0,186,0,214,0,238,0,253,0,2,1,14,1,30,1,
36,1,47,1,78,1,101,1,102,1,106,1,123,1,135,1,135,1,121,1,109,1,119,1,137,1,132,1,119,1,119,1,
117,1,114,1,132,1,155,1,159,1,160,1,167,1,160,1,143,1,146,1,160,1,165,1,167,1,174,1,167,1,141,1,
121,1,110,1,93,1,83,1,88,1,86,1,71,1,66,1,61,1,34,1,6,1,7,1,18,1,11,1,250,0,249,0,
5,1,4,1,246,0,242,0,247,0,243,0,234,0,230,0,222,0,208,0,188,0,157,0,136,0,145,0,155,0,143,0,
133,0,128,0,106,0,82,0,76,0,66,0,50,0,53,0,59,0,45,0,38,0,51,0,56,0,40,0,26,0,18,0,
5,0,244,255,238,255,237,255,224,255,201,255,187,255,182,255,168,255,143,255,121,255,111,255,103,255,87,255,73,255,68,255,
59,255,42,255,29,255,17,255,5,255,1,255,1,255,246,254,232,254,230,254,229,254,223,254,231,254,238,254,219,254,191,254,
179,254,173,254,159,254,144,254,136,254,135,254,140,254,155,254,176,254,185,254,179,254,184,254,206,254,227,254,247,254,12,255,
19,255,16,255,29,255,53,255,74,255,100,255,133,255,164,255,191,255,222,255,251,255,14,0,23,0,33,0,59,0,98,0,
127,0,138,0,149,0,185,0,0,1,78,1,134,1,180,1,222,1,239,1,233,1,245,1,21,2,49,2,84,2,142,2,
203,2,250,2,38,3,75,3,91,3,90,3,96,3,113,3,128,3,145,3,175,3,202,3,222,3,4,4,58,4,106,4,
146,4,185,4,198,4,185,4,189,4,223,4,255,4,21,5,53,5,92,5,113,5,120,5,128,5,126,5,106,5,100,5,
128,5,159,5,179,5,200,5,210,5,197,5,190,5,196,5,194,5,190,5,192,5,180,5,169,5,190,5,213,5,207,5,
205,5,212,5,190,5,152,5,132,5,109,5,57,5,3,5,226,4,203,4,189,4,187,4,175,4,134,4,79,4,33,4,
247,3,198,3,154,3,120,3,82,3,36,3,247,2,204,2,158,2,115,2,78,2,31,2,224,1,161,1,111,1,57,1,
233,0,147,0,80,0,28,0,232,255,175,255,104,255,18,255,186,254,107,254,36,254,232,253,169,253,87,253,5,253,193,252,
121,252,49,252,247,251,178,251,87,251,6,251,195,250,113,250,22,250,194,249,113,249,28,249,201,248,118,248,46,248,241,247,
168,247,77,247,242,246,159,246,81,246,8,246,192,245,107,245,8,245,166,244,86,244,32,244,243,243,184,243,108,243,33,243,
221,242,164,242,117,242,70,242,9,242,198,241,146,241,106,241,64,241,24,241,249,240,219,240,194,240,194,240,203,240,195,240,
173,240,146,240,119,240,117,240,144,240,167,240,182,240,217,240,8,241,46,241,100,241,178,241,252,241,56,242,122,242,198,242,
15,243,81,243,143,243,207,243,20,244,98,244,194,244,50,245,164,245,5,246,79,246,142,246,216,246,44,247,120,247,203,247,
49,248,141,248,212,248,49,249,181,249,51,250,155,250,5,251,114,251,210,251,39,252,119,252,196,252,21,253,109,253,195,253,
21,254,113,254,217,254,50,255,106,255,154,255,225,255,55,0,137,0,213,0,27,1,95,1,168,1,239,1,51,2,128,2,
207,2,19,3,92,3,191,3,45,4,143,4,228,4,52,5,130,5,200,5,4,6,67,6,133,6,185,6,224,6,18,7,
89,7,177,7,14,8,100,8,173,8,231,8,17,9,58,9,112,9,165,9,207,9,1,10,69,10,151,10,237,10,51,11,
91,11,118,11,150,11,176,11,200,11,234,11,4,12,9,12,6,12,3,12,254,11,1,12,7,12,2,12,254,11,255,11,
240,11,204,11,172,11,152,11,135,11,121,11,105,11,79,11,46,11,12,11,228,10,181,10,139,10,112,10,88,10,51,10,
0,10,193,9,120,9,48,9,237,8,172,8,111,8,57,8,7,8,213,7,158,7,94,7,35,7,244,6,184,6,110,6,
52,6,13,6,223,5,171,5,119,5,64,5,21,5,253,4,219,4,159,4,91,4,22,4,201,3,124,3,57,3,253,2,
196,2,138,2,81,2,28,2,228,1,167,1,118,1,76,1,20,1,221,0,185,0,142,0,85,0,35,0,250,255,202,255,
158,255,121,255,73,255,21,255,234,254,184,254,113,254,50,254,12,254,231,253,178,253,122,253,67,253,11,253,225,252,191,252,
146,252,102,252,80,252,67,252,52,252,50,252,45,252,12,252,229,251,209,251,195,251,184,251,178,251,160,251,129,251,116,251,
122,251,121,251,108,251,93,251,77,251,62,251,53,251,54,251,56,251,48,251,45,251,71,251,106,251,119,251,133,251,173,251,
207,251,219,251,245,251,27,252,40,252,36,252,56,252,100,252,133,252,153,252,179,252,215,252,244,252,11,253,38,253,69,253,
100,253,138,253,174,253,197,253,223,253,15,254,74,254,124,254,167,254,216,254,16,255,76,255,137,255,193,255,234,255,1,0,
25,0,64,0,109,0,151,0,192,0,231,0,14,1,54,1,85,1,110,1,138,1,160,1,181,1,222,1,17,2,51,2,
77,2,111,2,144,2,174,2,211,2,240,2,254,2,23,3,63,3,92,3,105,3,123,3,146,3,155,3,151,3,160,3,
179,3,179,3,164,3,163,3,178,3,194,3,214,3,232,3,235,3,237,3,251,3,7,4,8,4,5,4,6,4,18,4,
41,4,57,4,57,4,52,4,46,4,35,4,27,4,22,4,9,4,244,3,227,3,219,3,214,3,210,3,204,3,193,3,
174,3,154,3,134,3,114,3,95,3,79,3,67,3,61,3,58,3,41,3,8,3,231,2,209,2,182,2,146,2,108,2,
72,2,42,2,21,2,249,1,205,1,150,1,94,1,45,1,5,1,219,0,179,0,155,0,135,0,94,0,49,0,16,0,
231,255,180,255,136,255,97,255,54,255,15,255,232,254,183,254,139,254,109,254,81,254,46,254,1,254,206,253,157,253,112,253,
66,253,24,253,243,252,206,252,180,252,165,252,144,252,112,252,85,252,58,252,23,252,252,251,240,251,224,251,209,251,204,251,
192,251,152,251,111,251,97,251,91,251,70,251,47,251,26,251,5,251,252,250,251,250,236,250,217,250,217,250,213,250,191,250,
185,250,198,250,200,250,194,250,200,250,203,250,205,250,219,250,227,250,217,250,218,250,231,250,235,250,239,250,0,251,15,251,
15,251,16,251,32,251,52,251,63,251,72,251,93,251,117,251,136,251,167,251,211,251,236,251,245,251,16,252,59,252,91,252,
120,252,158,252,189,252,210,252,242,252,28,253,65,253,94,253,131,253,172,253,209,253,245,253,21,254,40,254,61,254,108,254,
171,254,219,254,253,254,36,255,84,255,131,255,163,255,190,255,228,255,20,0,63,0,106,0,153,0,194,0,236,0,29,1,
65,1,83,1,110,1,154,1,192,1,222,1,255,1,33,2,63,2,92,2,126,2,176,2,226,2,252,2,14,3,46,3,
81,3,111,3,146,3,179,3,197,3,216,3,0,4,45,4,71,4,82,4,96,4,117,4,138,4,156,4,171,4,183,4,
198,4,216,4,229,4,232,4,233,4,231,4,224,4,230,4,254,4,20,5,27,5,22,5,11,5,1,5,1,5,255,4,
238,4,221,4,217,4,225,4,233,4,230,4,211,4,190,4,174,4,151,4,119,4,91,4,73,4,56,4,35,4,22,4,
14,4,252,3,224,3,208,3,197,3,175,3,151,3,124,3,86,3,55,3,50,3,43,3,14,3,244,2,227,2,200,2,
169,2,147,2,121,2,82,2,42,2,13,2,251,1,232,1,203,1,171,1,140,1,106,1,77,1,55,1,23,1,240,0,
216,0,208,0,196,0,172,0,139,0,101,0,61,0,11,0,216,255,185,255,166,255,134,255,93,255,63,255,30,255,240,254,
198,254,162,254,119,254,77,254,45,254,2,254,202,253,165,253,142,253,100,253,47,253,22,253,11,253,238,252,207,252,184,252,
138,252,76,252,39,252,23,252,246,251,201,251,169,251,149,251,125,251,87,251,46,251,21,251,8,251,245,250,222,250,196,250,
159,250,126,250,117,250,112,250,104,250,105,250,106,250,99,250,100,250,102,250,88,250,78,250,81,250,76,250,68,250,78,250,
89,250,87,250,93,250,113,250,125,250,139,250,174,250,209,250,228,250,251,250,29,251,51,251,57,251,75,251,115,251,166,251,
225,251,31,252,83,252,136,252,199,252,250,252,25,253,65,253,122,253,165,253,187,253,218,253,17,254,76,254,135,254,213,254,
54,255,143,255,217,255,31,0,79,0,96,0,119,0,173,0,235,0,52,1,150,1,241,1,57,2,138,2,214,2,252,2,
23,3,72,3,125,3,178,3,248,3,55,4,91,4,124,4,171,4,224,4,24,5,83,5,129,5,157,5,187,5,222,5,
3,6,45,6,94,6,134,6,166,6,208,6,252,6,8,7,246,6,234,6,248,6,26,7,73,7,118,7,140,7,147,7,
150,7,146,7,132,7,119,7,111,7,110,7,118,7,136,7,154,7,168,7,174,7,173,7,160,7,143,7,136,7,134,7,
111,7,76,7,48,7,19,7,240,6,225,6,227,6,208,6,171,6,137,6,93,6,33,6,241,5,211,5,173,5,120,5,
65,5,6,5,196,4,135,4,80,4,18,4,210,3,167,3,133,3,70,3,236,2,148,2,49,2,187,1,89,1,19,1,
198,0,105,0,18,0,191,255,100,255,4,255,152,254,28,254,159,253,41,253,174,252,45,252,170,251,42,251,186,250,109,250,
53,250,228,249,110,249,243,248,121,248,230,247,78,247,220,246,133,246,53,246,6,246,249,245,203,245,103,245,255,244,157,244,
50,244,211,243,146,243,75,243,244,242,191,242,184,242,166,242,120,242,91,242,81,242,57,242,20,242,238,241,178,241,108,241,
79,241,102,241,148,241,205,241,0,242,27,242,48,242,67,242,62,242,40,242,45,242,88,242,158,242,238,242,46,243,84,243,
123,243,171,243,211,243,246,243,34,244,84,244,136,244,200,244,22,245,106,245,187,245,5,246,85,246,172,246,242,246,19,247,
33,247,63,247,127,247,220,247,71,248,179,248,25,249,114,249,181,249,224,249,247,249,6,250,25,250,69,250,153,250,4,251,
97,251,169,251,245,251,84,252,180,252,253,252,47,253,97,253,168,253,254,253,87,254,173,254,248,254,69,255,187,255,69,0,
169,0,231,0,40,1,105,1,170,1,14,2,136,2,232,2,50,3,133,3,224,3,51,4,120,4,173,4,229,4,66,5,
201,5,92,6,216,6,50,7,123,7,190,7,247,7,46,8,105,8,157,8,209,8,36,9,145,9,231,9,33,10,94,10,
148,10,171,10,182,10,196,10,185,10,159,10,170,10,220,10,2,11,27,11,69,11,108,11,119,11,119,11,108,11,71,11,
32,11,14,11,1,11,246,10,252,10,252,10,222,10,193,10,183,10,156,10,97,10,33,10,240,9,202,9,169,9,142,9,
101,9,43,9,255,8,235,8,193,8,117,8,55,8,27,8,1,8,229,7,212,7,185,7,142,7,114,7,89,7,30,7,
212,6,155,6,109,6,74,6,56,6,34,6,239,5,174,5,123,5,89,5,54,5,1,5,187,4,119,4,74,4,46,4,
15,4,228,3,181,3,143,3,117,3,98,3,64,3,1,3,188,2,134,2,86,2,42,2,5,2,219,1,161,1,104,1,
52,1,252,0,188,0,119,0,48,0,251,255,219,255,182,255,126,255,70,255,26,255,240,254,191,254,140,254,95,254,56,254,
27,254,11,254,244,253,198,253,154,253,129,253,92,253,33,253,239,252,203,252,166,252,139,252,128,252,118,252,103,252,90,252,
73,252,57,252,54,252,49,252,29,252,7,252,3,252,12,252,24,252,37,252,61,252,97,252,129,252,143,252,145,252,145,252,
143,252,148,252,161,252,172,252,181,252,197,252,222,252,245,252,7,253,29,253,54,253,74,253,99,253,141,253,183,253,209,253,
226,253,240,253,1,254,33,254,72,254,87,254,91,254,125,254,174,254,206,254,226,254,251,254,12,255,14,255,18,255,29,255,
39,255,45,255,61,255,85,255,106,255,128,255,166,255,204,255,219,255,224,255,236,255,247,255,1,0,24,0,45,0,59,0,
80,0,105,0,118,0,130,0,148,0,157,0,160,0,172,0,180,0,181,0,199,0,229,0,241,0,239,0,0,1,25,1,
36,1,42,1,68,1,100,1,120,1,137,1,161,1,182,1,196,1,206,1,213,1,222,1,234,1,245,1,251,1,5,2,
18,2,32,2,47,2,58,2,56,2,48,2,40,2,33,2,33,2,33,2,22,2,17,2,35,2,54,2,51,2,37,2,
30,2,25,2,16,2,1,2,232,1,204,1,179,1,159,1,136,1,103,1,66,1,41,1,24,1,2,1,233,0,204,0,
166,0,122,0,81,0,46,0,18,0,248,255,209,255,169,255,150,255,141,255,114,255,80,255,56,255,29,255,248,254,220,254,
205,254,179,254,140,254,109,254,91,254,68,254,39,254,20,254,255,253,225,253,211,253,221,253,225,253,210,253,196,253,192,253,
186,253,174,253,161,253,153,253,153,253,159,253,167,253,171,253,174,253,181,253,190,253,194,253,193,253,191,253,185,253,173,253,
162,253,160,253,167,253,184,253,207,253,222,253,227,253,235,253,252,253,8,254,3,254,249,253,3,254,26,254,45,254,68,254,
95,254,106,254,101,254,108,254,122,254,131,254,146,254,165,254,172,254,173,254,183,254,191,254,194,254,200,254,199,254,195,254,
213,254,247,254,13,255,28,255,54,255,82,255,98,255,109,255,118,255,121,255,124,255,139,255,157,255,166,255,179,255,205,255,
227,255,236,255,249,255,15,0,28,0,27,0,25,0,24,0,19,0,22,0,52,0,95,0,115,0,117,0,131,0,157,0,
170,0,173,0,178,0,178,0,181,0,204,0,235,0,251,0,252,0,244,0,242,0,255,0,12,1,8,1,255,0,249,0,
239,0,234,0,241,0,244,0,244,0,255,0,4,1,250,0,254,0,18,1,19,1,5,1,8,1,20,1,23,1,26,1,
41,1,56,1,60,1,58,1,56,1,54,1,51,1,48,1,46,1,44,1,37,1,29,1,30,1,36,1,36,1,30,1,
20,1,10,1,18,1,40,1,48,1,37,1,42,1,64,1,68,1,57,1,55,1,53,1,40,1,32,1,30,1,26,1,
24,1,19,1,254,0,237,0,238,0,231,0,204,0,183,0,175,0,169,0,167,0,173,0,170,0,155,0,144,0,149,0,
156,0,150,0,138,0,132,0,129,0,119,0,117,0,130,0,135,0,129,0,121,0,99,0,59,0,31,0,28,0,22,0,
11,0,14,0,21,0,14,0,3,0,254,255,244,255,232,255,223,255,206,255,187,255,193,255,208,255,200,255,186,255,195,255,
202,255,187,255,169,255,148,255,111,255,77,255,63,255,49,255,27,255,20,255,22,255,8,255,235,254,208,254,188,254,173,254,
155,254,135,254,123,254,124,254,125,254,120,254,115,254,110,254,102,254,87,254,68,254,52,254,38,254,18,254,4,254,2,254,
251,253,235,253,225,253,222,253,214,253,198,253,176,253,152,253,140,253,144,253,147,253,146,253,159,253,183,253,194,253,193,253,
198,253,197,253,184,253,186,253,205,253,204,253,184,253,186,253,211,253,231,253,250,253,14,254,8,254,245,253,248,253,9,254,
10,254,7,254,13,254,17,254,29,254,67,254,114,254,143,254,162,254,197,254,238,254,8,255,24,255,44,255,59,255,61,255,
75,255,117,255,169,255,210,255,248,255,29,0,58,0,83,0,110,0,133,0,149,0,180,0,234,0,34,1,68,1,95,1,
138,1,196,1,4,2,66,2,122,2,173,2,217,2,250,2,27,3,79,3,136,3,179,3,218,3,12,4,54,4,79,4,
107,4,148,4,195,4,249,4,53,5,104,5,139,5,169,5,198,5,219,5,228,5,243,5,22,6,71,6,118,6,164,6,
200,6,224,6,250,6,24,7,32,7,15,7,1,7,2,7,8,7,25,7,50,7,58,7,56,7,74,7,97,7,84,7,
47,7,23,7,7,7,237,6,220,6,223,6,225,6,214,6,202,6,187,6,162,6,124,6,74,6,22,6,245,5,225,5,
196,5,164,5,132,5,81,5,16,5,227,4,197,4,145,4,70,4,0,4,209,3,177,3,144,3,97,3,39,3,232,2,
157,2,67,2,233,1,156,1,93,1,39,1,241,0,184,0,125,0,60,0,238,255,150,255,54,255,207,254,107,254,16,254,
185,253,97,253,8,253,171,252,76,252,244,251,161,251,73,251,229,250,123,250,12,250,151,249,34,249,177,248,64,248,203,247,
89,247,238,246,127,246,3,246,140,245,59,245,9,245,200,244,100,244,239,243,107,243,207,242,61,242,216,241,139,241,68,241,
26,241,11,241,249,240,216,240,151,240,40,240,173,239,92,239,36,239,218,238,136,238,76,238,45,238,49,238,81,238,109,238,
103,238,67,238,21,238,230,237,187,237,158,237,157,237,202,237,43,238,165,238,20,239,106,239,166,239,197,239,205,239,212,239,
248,239,62,240,152,240,244,240,84,241,188,241,37,242,140,242,245,242,83,243,142,243,172,243,214,243,39,244,140,244,242,244,
97,245,229,245,113,246,251,246,126,247,221,247,5,248,32,248,109,248,236,248,127,249,16,250,137,250,221,250,47,251,160,251,
23,252,115,252,180,252,224,252,14,253,105,253,238,253,100,254,191,254,33,255,148,255,16,0,143,0,244,0,44,1,94,1,
187,1,51,2,163,2,24,3,161,3,44,4,172,4,33,5,129,5,206,5,33,6,133,6,225,6,48,7,137,7,242,7,
99,8,220,8,85,9,195,9,39,10,149,10,11,11,112,11,189,11,7,12,91,12,181,12,32,13,157,13,7,14,70,14,
129,14,216,14,52,15,107,15,134,15,158,15,190,15,221,15,251,15,27,16,56,16,76,16,101,16,133,16,150,16,144,16,
140,16,141,16,128,16,110,16,105,16,99,16,78,16,62,16,54,16,30,16,247,15,204,15,151,15,94,15,51,15,3,15,
176,14,88,14,42,14,12,14,208,13,122,13,31,13,198,12,130,12,91,12,42,12,213,11,123,11,61,11,19,11,235,10,
187,10,124,10,47,10,227,9,160,9,94,9,27,9,214,8,139,8,59,8,248,7,192,7,122,7,29,7,189,6,104,6,
27,6,217,5,160,5,94,5,20,5,214,4,155,4,72,4,240,3,180,3,133,3,73,3,8,3,195,2,114,2,33,2,
222,1,143,1,47,1,225,0,166,0,93,0,0,0,170,255,88,255,251,254,166,254,101,254,34,254,207,253,118,253,36,253,
226,252,180,252,137,252,74,252,6,252,210,251,168,251,119,251,60,251,246,250,173,250,119,250,87,250,52,250,5,250,216,249,
176,249,132,249,84,249,41,249,255,248,212,248,190,248,191,248,185,248,162,248,150,248,149,248,135,248,118,248,124,248,137,248,
133,248,129,248,138,248,150,248,164,248,184,248,192,248,191,248,209,248,235,248,235,248,217,248,216,248,233,248,2,249,37,249,
70,249,82,249,92,249,118,249,153,249,192,249,239,249,24,250,54,250,92,250,138,250,172,250,203,250,246,250,31,251,59,251,
96,251,143,251,176,251,194,251,221,251,10,252,56,252,88,252,107,252,134,252,188,252,252,252,38,253,64,253,106,253,165,253,
214,253,253,253,46,254,99,254,142,254,189,254,245,254,38,255,77,255,125,255,173,255,200,255,227,255,16,0,52,0,68,0,
96,0,140,0,170,0,196,0,241,0,33,1,73,1,120,1,169,1,200,1,231,1,24,2,66,2,89,2,123,2,168,2,
201,2,227,2,3,3,33,3,60,3,100,3,139,3,156,3,163,3,172,3,178,3,176,3,176,3,189,3,213,3,236,3,
252,3,14,4,48,4,81,4,93,4,89,4,82,4,78,4,83,4,92,4,94,4,89,4,94,4,110,4,121,4,116,4,
96,4,70,4,45,4,23,4,2,4,238,3,222,3,202,3,172,3,139,3,122,3,118,3,107,3,83,3,62,3,49,3,
31,3,4,3,235,2,214,2,187,2,159,2,137,2,114,2,89,2,64,2,32,2,248,1,221,1,205,1,173,1,134,1,
115,1,97,1,53,1,9,1,240,0,213,0,188,0,184,0,185,0,166,0,148,0,135,0,104,0,66,0,55,0,57,0,
37,0,8,0,247,255,228,255,194,255,162,255,143,255,123,255,94,255,68,255,53,255,34,255,6,255,238,254,223,254,204,254,
177,254,153,254,132,254,111,254,97,254,89,254,76,254,54,254,35,254,21,254,5,254,239,253,213,253,194,253,184,253,165,253,
131,253,103,253,93,253,79,253,54,253,36,253,23,253,8,253,4,253,8,253,245,252,210,252,194,252,198,252,194,252,187,252,
190,252,189,252,183,252,187,252,198,252,196,252,184,252,177,252,173,252,169,252,170,252,174,252,172,252,165,252,167,252,182,252,
201,252,216,252,227,252,232,252,235,252,245,252,2,253,6,253,10,253,32,253,64,253,86,253,99,253,113,253,127,253,145,253,
170,253,185,253,186,253,199,253,224,253,238,253,249,253,16,254,35,254,40,254,49,254,68,254,87,254,107,254,133,254,152,254,
169,254,200,254,226,254,234,254,242,254,7,255,24,255,38,255,61,255,78,255,79,255,85,255,110,255,138,255,156,255,169,255,
178,255,187,255,204,255,226,255,240,255,245,255,247,255,253,255,12,0,34,0,55,0,71,0,86,0,100,0,112,0,130,0,
150,0,157,0,149,0,147,0,162,0,177,0,183,0,199,0,226,0,239,0,237,0,244,0,2,1,3,1,2,1,13,1,
17,1,12,1,19,1,35,1,41,1,51,1,71,1,80,1,79,1,94,1,110,1,99,1,81,1,81,1,83,1,82,1,
90,1,102,1,104,1,112,1,129,1,134,1,126,1,121,1,116,1,102,1,87,1,82,1,84,1,88,1,90,1,86,1,
86,1,96,1,108,1,114,1,111,1,105,1,103,1,108,1,100,1,73,1,52,1,63,1,91,1,113,1,120,1,107,1,
86,1,73,1,71,1,62,1,55,1,67,1,87,1,92,1,86,1,78,1,60,1,34,1,27,1,44,1,58,1,57,1,
58,1,64,1,66,1,66,1,69,1,57,1,30,1,19,1,23,1,10,1,241,0,237,0,240,0,225,0,210,0,217,0,
223,0,211,0,187,0,154,0,120,0,100,0,88,0,67,0,51,0,49,0,47,0,40,0,38,0,27,0,254,255,234,255,
230,255,211,255,180,255,168,255,167,255,145,255,114,255,103,255,104,255,98,255,89,255,83,255,75,255,63,255,53,255,48,255,
31,255,3,255,244,254,1,255,14,255,7,255,5,255,32,255,71,255,96,255,105,255,104,255,102,255,110,255,130,255,153,255,
176,255,197,255,213,255,231,255,1,0,25,0,40,0,61,0,96,0,130,0,161,0,201,0,241,0,5,1,13,1,39,1,
90,1,138,1,173,1,208,1,248,1,28,2,59,2,95,2,134,2,165,2,192,2,220,2,243,2,252,2,254,2,7,3,
30,3,58,3,78,3,105,3,145,3,168,3,159,3,157,3,178,3,192,3,198,3,224,3,249,3,243,3,239,3,7,4,
21,4,15,4,21,4,28,4,10,4,255,3,17,4,24,4,1,4,237,3,229,3,223,3,231,3,244,3,226,3,192,3,
185,3,199,3,198,3,195,3,204,3,206,3,198,3,189,3,171,3,132,3,96,3,77,3,65,3,58,3,53,3,32,3,
250,2,213,2,178,2,129,2,71,2,22,2,236,1,195,1,161,1,122,1,61,1,255,0,217,0,179,0,118,0,56,0,
253,255,168,255,66,255,240,254,171,254,90,254,11,254,195,253,97,253,234,252,124,252,7,252,120,251,235,250,117,250,13,250,
190,249,133,249,50,249,182,248,50,248,167,247,7,247,119,246,22,246,200,245,135,245,110,245,87,245,16,245,192,244,129,244,
28,244,139,243,24,243,205,242,119,242,29,242,229,241,199,241,183,241,193,241,213,241,202,241,160,241,98,241,16,241,197,240,
171,240,193,240,241,240,63,241,170,241,13,242,82,242,125,242,129,242,93,242,72,242,105,242,168,242,237,242,71,243,176,243,
1,244,59,244,124,244,194,244,247,244,27,245,61,245,104,245,174,245,16,246,129,246,1,247,137,247,249,247,76,248,156,248,
223,248,254,248,29,249,105,249,196,249,26,250,136,250,1,251,77,251,113,251,150,251,185,251,219,251,26,252,101,252,148,252,
200,252,32,253,124,253,206,253,50,254,141,254,188,254,236,254,66,255,151,255,221,255,56,0,159,0,245,0,92,1,227,1,
72,2,112,2,149,2,206,2,7,3,74,3,170,3,8,4,83,4,166,4,7,5,92,5,172,5,9,6,97,6,180,6,
31,7,159,7,12,8,100,8,188,8,13,9,89,9,185,9,30,10,100,10,156,10,235,10,58,11,115,11,174,11,234,11,
13,12,33,12,58,12,67,12,65,12,91,12,137,12,161,12,181,12,228,12,15,13,38,13,65,13,82,13,53,13,12,13,
5,13,2,13,232,12,208,12,199,12,183,12,153,12,112,12,54,12,245,11,188,11,120,11,32,11,211,10,165,10,126,10,
82,10,38,10,250,9,202,9,150,9,91,9,24,9,219,8,174,8,139,8,105,8,68,8,19,8,213,7,152,7,98,7,
37,7,217,6,150,6,101,6,44,6,217,5,131,5,65,5,7,5,206,4,157,4,111,4,52,4,249,3,208,3,176,3,
138,3,93,3,42,3,243,2,192,2,144,2,86,2,13,2,188,1,116,1,61,1,5,1,183,0,99,0,34,0,224,255,
136,255,49,255,232,254,146,254,50,254,240,253,199,253,147,253,88,253,29,253,214,252,137,252,85,252,50,252,6,252,210,251,
161,251,109,251,58,251,8,251,198,250,110,250,27,250,224,249,175,249,123,249,77,249,41,249,4,249,216,248,175,248,145,248,
123,248,101,248,85,248,74,248,65,248,63,248,68,248,65,248,52,248,51,248,68,248,84,248,86,248,86,248,91,248,95,248,
99,248,109,248,123,248,135,248,140,248,138,248,142,248,160,248,182,248,197,248,209,248,231,248,17,249,74,249,125,249,163,249,
203,249,252,249,37,250,70,250,109,250,151,250,182,250,208,250,239,250,19,251,57,251,91,251,117,251,147,251,188,251,223,251,
247,251,25,252,72,252,114,252,152,252,196,252,243,252,33,253,88,253,147,253,198,253,248,253,55,254,121,254,170,254,208,254,
246,254,29,255,68,255,122,255,189,255,246,255,21,0,45,0,82,0,122,0,159,0,206,0,7,1,61,1,110,1,168,1,
222,1,10,2,61,2,124,2,186,2,246,2,54,3,108,3,151,3,210,3,16,4,52,4,73,4,114,4,165,4,205,4,
243,4,36,5,89,5,137,5,177,5,206,5,229,5,2,6,37,6,73,6,110,6,154,6,199,6,234,6,10,7,51,7,
94,7,120,7,132,7,142,7,155,7,173,7,196,7,214,7,220,7,234,7,1,8,6,8,245,7,236,7,237,7,223,7,
194,7,179,7,181,7,184,7,185,7,195,7,205,7,200,7,179,7,151,7,123,7,96,7,65,7,34,7,13,7,249,6,
219,6,186,6,153,6,109,6,55,6,14,6,239,5,198,5,149,5,110,5,79,5,32,5,222,4,164,4,124,4,82,4,
35,4,253,3,223,3,182,3,140,3,102,3,53,3,252,2,203,2,150,2,79,2,21,2,242,1,193,1,121,1,63,1,
30,1,253,0,212,0,163,0,100,0,37,0,252,255,222,255,180,255,128,255,77,255,25,255,232,254,195,254,162,254,116,254,
67,254,29,254,248,253,197,253,140,253,85,253,28,253,228,252,183,252,146,252,100,252,35,252,231,251,194,251,167,251,128,251,
81,251,36,251,251,250,205,250,149,250,86,250,35,250,0,250,220,249,178,249,143,249,113,249,76,249,36,249,247,248,189,248,
131,248,90,248,57,248,26,248,1,248,229,247,188,247,147,247,125,247,115,247,106,247,98,247,94,247,88,247,75,247,57,247,
42,247,34,247,24,247,17,247,25,247,46,247,69,247,90,247,112,247,130,247,149,247,174,247,195,247,208,247,229,247,9,248,
45,248,78,248,125,248,179,248,222,248,12,249,78,249,149,249,206,249,7,250,72,250,127,250,164,250,205,250,12,251,86,251,
148,251,204,251,18,252,89,252,141,252,192,252,8,253,82,253,147,253,213,253,20,254,68,254,117,254,178,254,236,254,35,255,
99,255,165,255,228,255,39,0,104,0,153,0,197,0,247,0,37,1,73,1,113,1,161,1,210,1,1,2,50,2,100,2,
141,2,175,2,206,2,237,2,14,3,55,3,100,3,134,3,159,3,198,3,252,3,39,4,67,4,96,4,121,4,130,4,
145,4,187,4,227,4,244,4,6,5,39,5,68,5,90,5,117,5,138,5,147,5,164,5,186,5,201,5,222,5,252,5,
15,6,31,6,65,6,97,6,101,6,100,6,111,6,118,6,113,6,117,6,133,6,147,6,155,6,165,6,172,6,166,6,
153,6,143,6,126,6,95,6,70,6,62,6,57,6,45,6,37,6,31,6,15,6,244,5,216,5,188,5,161,5,135,5,
105,5,68,5,31,5,0,5,222,4,179,4,135,4,93,4,48,4,4,4,219,3,170,3,111,3,61,3,17,3,215,2,
152,2,109,2,76,2,26,2,222,1,174,1,139,1,100,1,53,1,5,1,211,0,158,0,108,0,63,0,14,0,216,255,
169,255,135,255,103,255,65,255,15,255,211,254,160,254,114,254,54,254,255,253,232,253,216,253,179,253,140,253,121,253,102,253,
75,253,53,253,24,253,232,252,186,252,163,252,163,252,171,252,177,252,175,252,168,252,154,252,125,252,86,252,58,252,52,252,
60,252,74,252,94,252,112,252,119,252,127,252,139,252,141,252,134,252,140,252,163,252,184,252,196,252,212,252,244,252,37,253,
89,253,131,253,162,253,185,253,202,253,222,253,249,253,19,254,43,254,85,254,139,254,188,254,229,254,12,255,36,255,45,255,
62,255,105,255,155,255,192,255,229,255,19,0,53,0,70,0,101,0,148,0,179,0,197,0,225,0,3,1,31,1,60,1,
86,1,98,1,116,1,145,1,164,1,174,1,195,1,217,1,225,1,242,1,18,2,44,2,58,2,73,2,82,2,80,2,
85,2,101,2,115,2,136,2,171,2,196,2,201,2,208,2,221,2,218,2,206,2,208,2,212,2,208,2,211,2,213,2,
199,2,193,2,212,2,224,2,215,2,203,2,186,2,144,2,94,2,61,2,33,2,253,1,228,1,227,1,228,1,203,1,
151,1,85,1,10,1,190,0,120,0,44,0,209,255,118,255,41,255,231,254,179,254,140,254,91,254,16,254,166,253,24,253,
126,252,250,251,131,251,12,251,197,250,188,250,167,250,105,250,41,250,225,249,103,249,219,248,99,248,228,247,92,247,252,246,
187,246,109,246,55,246,55,246,44,246,242,245,191,245,134,245,13,245,136,244,71,244,38,244,4,244,22,244,87,244,129,244,
150,244,175,244,159,244,98,244,66,244,86,244,113,244,145,244,202,244,2,245,34,245,60,245,86,245,105,245,134,245,179,245,
212,245,223,245,252,245,57,246,130,246,214,246,53,247,128,247,180,247,240,247,32,248,28,248,18,248,72,248,163,248,240,248,
72,249,182,249,5,250,32,250,41,250,51,250,67,250,103,250,150,250,186,250,217,250,16,251,86,251,146,251,195,251,245,251,
39,252,91,252,147,252,194,252,236,252,32,253,86,253,138,253,217,253,72,254,171,254,237,254,33,255,76,255,119,255,192,255,
24,0,87,0,140,0,215,0,35,1,92,1,154,1,233,1,59,2,148,2,3,3,126,3,241,3,83,4,159,4,221,4,
33,5,122,5,223,5,65,6,157,6,246,6,76,7,163,7,253,7,77,8,138,8,188,8,236,8,17,9,41,9,68,9,
98,9,135,9,188,9,254,9,59,10,108,10,146,10,174,10,192,10,198,10,199,10,207,10,232,10,11,11,33,11,28,11,
9,11,252,10,241,10,219,10,189,10,156,10,118,10,81,10,53,10,21,10,229,9,178,9,135,9,96,9,57,9,21,9,
245,8,211,8,172,8,138,8,123,8,112,8,79,8,38,8,2,8,212,7,155,7,113,7,86,7,49,7,3,7,221,6,
184,6,132,6,65,6,255,5,194,5,132,5,73,5,24,5,242,4,211,4,184,4,160,4,135,4,106,4,69,4,33,4,
6,4,229,3,173,3,116,3,84,3,61,3,27,3,247,2,206,2,149,2,86,2,26,2,219,1,158,1,110,1,56,1,
248,0,205,0,176,0,119,0,41,0,245,255,220,255,185,255,149,255,133,255,108,255,54,255,6,255,229,254,185,254,132,254,
82,254,20,254,207,253,167,253,140,253,87,253,24,253,232,252,187,252,145,252,110,252,63,252,253,251,201,251,170,251,145,251,
129,251,122,251,106,251,87,251,78,251,61,251,25,251,253,250,246,250,235,250,214,250,206,250,212,250,205,250,182,250,160,250,
146,250,132,250,119,250,105,250,90,250,93,250,116,250,137,250,149,250,165,250,189,250,222,250,3,251,25,251,30,251,52,251,
95,251,125,251,146,251,197,251,9,252,49,252,59,252,79,252,106,252,115,252,126,252,167,252,208,252,227,252,6,253,69,253,
114,253,139,253,184,253,231,253,255,253,30,254,80,254,115,254,138,254,173,254,208,254,238,254,38,255,109,255,146,255,154,255,
173,255,199,255,212,255,222,255,240,255,255,255,13,0,41,0,79,0,104,0,120,0,144,0,170,0,192,0,222,0,8,1,
44,1,69,1,94,1,123,1,155,1,188,1,213,1,232,1,1,2,32,2,60,2,82,2,100,2,118,2,137,2,156,2,
178,2,208,2,239,2,11,3,34,3,51,3,75,3,119,3,164,3,194,3,227,3,16,4,51,4,72,4,99,4,129,4,
157,4,188,4,209,4,212,4,230,4,9,5,21,5,12,5,14,5,23,5,21,5,18,5,21,5,24,5,32,5,47,5,
49,5,41,5,50,5,73,5,75,5,57,5,50,5,56,5,52,5,39,5,19,5,243,4,218,4,218,4,216,4,187,4,
155,4,132,4,100,4,66,4,42,4,10,4,219,3,178,3,155,3,136,3,118,3,100,3,80,3,57,3,35,3,17,3,
255,2,231,2,200,2,172,2,144,2,118,2,100,2,79,2,40,2,255,1,227,1,195,1,156,1,122,1,85,1,39,1,
2,1,234,0,207,0,178,0,163,0,151,0,122,0,88,0,63,0,33,0,246,255,217,255,209,255,187,255,142,255,103,255,
75,255,39,255,255,254,221,254,183,254,138,254,98,254,61,254,20,254,233,253,182,253,129,253,94,253,69,253,26,253,240,252,
216,252,187,252,140,252,105,252,87,252,60,252,21,252,244,251,209,251,157,251,106,251,72,251,41,251,4,251,233,250,212,250,
178,250,140,250,112,250,79,250,37,250,10,250,247,249,215,249,185,249,173,249,157,249,131,249,115,249,111,249,108,249,100,249,
89,249,71,249,52,249,37,249,27,249,28,249,33,249,33,249,30,249,31,249,38,249,44,249,42,249,41,249,48,249,57,249,
65,249,85,249,115,249,139,249,161,249,193,249,227,249,3,250,32,250,53,250,68,250,97,250,133,250,163,250,199,250,249,250,
36,251,69,251,122,251,192,251,240,251,3,252,34,252,89,252,140,252,178,252,228,252,36,253,97,253,154,253,211,253,5,254,
61,254,126,254,177,254,212,254,7,255,73,255,127,255,173,255,225,255,17,0,61,0,123,0,190,0,234,0,7,1,55,1,
119,1,171,1,212,1,8,2,63,2,99,2,133,2,179,2,219,2,251,2,42,3,87,3,115,3,156,3,213,3,244,3,
3,4,43,4,91,4,114,4,135,4,178,4,215,4,234,4,9,5,59,5,101,5,134,5,176,5,224,5,4,6,33,6,
64,6,91,6,118,6,151,6,185,6,225,6,15,7,48,7,62,7,87,7,129,7,165,7,193,7,219,7,233,7,245,7,
15,8,38,8,53,8,80,8,119,8,148,8,169,8,184,8,191,8,199,8,211,8,212,8,207,8,216,8,234,8,235,8,
221,8,209,8,198,8,174,8,136,8,104,8,84,8,61,8,31,8,8,8,250,7,229,7,194,7,151,7,105,7,61,7,
20,7,235,6,192,6,148,6,106,6,65,6,15,6,219,5,178,5,138,5,87,5,31,5,228,4,162,4,102,4,55,4,
3,4,200,3,154,3,113,3,61,3,8,3,212,2,157,2,120,2,113,2,108,2,94,2,76,2,38,2,225,1,157,1,
113,1,75,1,39,1,32,1,50,1,61,1,52,1,36,1,12,1,223,0,164,0,110,0,61,0,16,0,246,255,239,255,
237,255,244,255,8,0,25,0,27,0,9,0,221,255,158,255,98,255,46,255,2,255,239,254,248,254,10,255,12,255,248,254,
214,254,168,254,102,254,27,254,222,253,183,253,154,253,135,253,118,253,89,253,54,253,23,253,248,252,211,252,169,252,116,252,
62,252,28,252,11,252,246,251,212,251,171,251,132,251,98,251,58,251,4,251,196,250,135,250,86,250,62,250,60,250,54,250,
30,250,250,249,209,249,163,249,116,249,70,249,30,249,5,249,246,248,238,248,235,248,226,248,196,248,154,248,125,248,108,248,
80,248,32,248,250,247,235,247,217,247,180,247,150,247,132,247,106,247,76,247,59,247,38,247,249,246,198,246,165,246,150,246,
148,246,144,246,128,246,104,246,76,246,41,246,4,246,227,245,199,245,181,245,178,245,173,245,150,245,115,245,84,245,65,245,
51,245,28,245,3,245,244,244,229,244,208,244,202,244,218,244,232,244,237,244,249,244,12,245,24,245,27,245,35,245,44,245,
51,245,79,245,127,245,160,245,171,245,193,245,226,245,251,245,31,246,92,246,136,246,156,246,198,246,0,247,30,247,54,247,
113,247,194,247,17,248,92,248,163,248,229,248,40,249,106,249,170,249,245,249,77,250,160,250,231,250,36,251,94,251,153,251,
218,251,40,252,138,252,242,252,72,253,129,253,178,253,236,253,38,254,95,254,172,254,24,255,132,255,217,255,35,0,103,0,
155,0,215,0,40,1,122,1,199,1,27,2,102,2,155,2,208,2,16,3,78,3,137,3,205,3,16,4,69,4,108,4,
147,4,199,4,4,5,67,5,139,5,216,5,19,6,64,6,107,6,143,6,173,6,219,6,30,7,97,7,160,7,223,7,
16,8,48,8,69,8,88,8,106,8,128,8,156,8,189,8,226,8,6,9,33,9,48,9,65,9,91,9,112,9,121,9,
132,9,143,9,138,9,141,9,176,9,215,9,230,9,240,9,246,9,233,9,218,9,215,9,201,9,173,9,160,9,167,9,
169,9,155,9,129,9,96,9,59,9,22,9,247,8,217,8,182,8,150,8,130,8,113,8,90,8,59,8,16,8,223,7,
179,7,134,7,82,7,38,7,0,7,204,6,150,6,113,6,72,6,8,6,199,5,145,5,78,5,250,4,174,4,115,4,
54,4,241,3,180,3,129,3,73,3,8,3,193,2,117,2,44,2,241,1,188,1,129,1,73,1,21,1,216,0,146,0,
78,0,1,0,175,255,105,255,47,255,241,254,178,254,122,254,71,254,19,254,213,253,144,253,84,253,30,253,229,252,182,252,
147,252,106,252,62,252,31,252,5,252,230,251,202,251,176,251,139,251,98,251,66,251,39,251,14,251,246,250,224,250,205,250,
195,250,194,250,192,250,174,250,146,250,124,250,114,250,110,250,114,250,126,250,143,250,158,250,171,250,182,250,195,250,197,250,
187,250,190,250,219,250,247,250,5,251,26,251,52,251,68,251,82,251,102,251,119,251,140,251,166,251,185,251,206,251,237,251,
6,252,22,252,54,252,103,252,147,252,187,252,223,252,247,252,9,253,41,253,83,253,123,253,167,253,220,253,9,254,47,254,
98,254,152,254,182,254,203,254,247,254,45,255,85,255,128,255,187,255,243,255,34,0,84,0,133,0,180,0,240,0,52,1,
108,1,152,1,201,1,1,2,57,2,103,2,143,2,194,2,254,2,54,3,106,3,162,3,213,3,3,4,48,4,81,4,
107,4,153,4,209,4,248,4,23,5,64,5,103,5,132,5,170,5,215,5,247,5,8,6,35,6,69,6,87,6,93,6,
115,6,148,6,172,6,193,6,220,6,233,6,223,6,214,6,221,6,232,6,232,6,225,6,220,6,222,6,222,6,219,6,
221,6,219,6,205,6,191,6,184,6,176,6,165,6,154,6,137,6,124,6,122,6,119,6,105,6,85,6,60,6,28,6,
4,6,242,5,219,5,197,5,182,5,164,5,139,5,115,5,95,5,65,5,24,5,243,4,219,4,195,4,160,4,125,4,
100,4,78,4,59,4,42,4,11,4,220,3,178,3,140,3,91,3,40,3,253,2,214,2,172,2,136,2,105,2,73,2,
36,2,250,1,205,1,155,1,99,1,45,1,251,0,207,0,170,0,137,0,104,0,75,0,41,0,239,255,170,255,118,255,
82,255,50,255,23,255,246,254,203,254,169,254,137,254,81,254,19,254,239,253,213,253,174,253,140,253,117,253,81,253,34,253,
2,253,246,252,233,252,210,252,178,252,136,252,89,252,52,252,30,252,10,252,246,251,239,251,238,251,223,251,195,251,165,251,
132,251,98,251,73,251,59,251,45,251,28,251,16,251,13,251,1,251,225,250,194,250,182,250,171,250,155,250,151,250,152,250,
139,250,120,250,103,250,82,250,70,250,72,250,65,250,39,250,17,250,14,250,22,250,28,250,21,250,9,250,7,250,4,250,
242,249,231,249,238,249,241,249,237,249,243,249,2,250,12,250,27,250,50,250,60,250,49,250,49,250,72,250,94,250,100,250,
106,250,118,250,135,250,168,250,212,250,239,250,251,250,9,251,26,251,50,251,87,251,116,251,127,251,145,251,178,251,205,251,
238,251,34,252,69,252,73,252,92,252,142,252,189,252,215,252,238,252,7,253,34,253,71,253,118,253,157,253,176,253,189,253,
218,253,0,254,33,254,61,254,78,254,86,254,108,254,155,254,201,254,235,254,11,255,33,255,35,255,37,255,57,255,80,255,
92,255,102,255,129,255,168,255,208,255,249,255,25,0,28,0,17,0,23,0,41,0,50,0,57,0,69,0,80,0,100,0,
125,0,137,0,139,0,153,0,167,0,170,0,180,0,202,0,211,0,211,0,227,0,254,0,18,1,30,1,44,1,58,1,
61,1,59,1,61,1,71,1,87,1,115,1,142,1,152,1,154,1,158,1,155,1,145,1,153,1,174,1,184,1,188,1,
203,1,224,1,238,1,241,1,241,1,245,1,254,1,4,2,11,2,23,2,31,2,32,2,35,2,44,2,53,2,57,2,
56,2,51,2,42,2,34,2,41,2,54,2,55,2,55,2,69,2,76,2,63,2,53,2,55,2,56,2,64,2,80,2,
83,2,78,2,88,2,94,2,75,2,56,2,63,2,78,2,80,2,75,2,71,2,66,2,56,2,50,2,55,2,58,2,
47,2,36,2,37,2,40,2,30,2,10,2,248,1,246,1,253,1,4,2,7,2,3,2,243,1,223,1,207,1,186,1,
159,1,131,1,105,1,75,1,47,1,22,1,254,0,228,0,190,0,145,0,107,0,69,0,10,0,201,255,143,255,74,255,
252,254,195,254,165,254,139,254,101,254,38,254,207,253,128,253,60,253,229,252,127,252,39,252,232,251,192,251,172,251,146,251,
84,251,245,250,145,250,56,250,237,249,174,249,102,249,12,249,189,248,162,248,167,248,155,248,120,248,73,248,15,248,219,247,
189,247,152,247,88,247,39,247,34,247,63,247,115,247,173,247,198,247,176,247,151,247,159,247,185,247,196,247,194,247,211,247,
9,248,78,248,146,248,212,248,5,249,34,249,75,249,133,249,176,249,208,249,5,250,77,250,147,250,223,250,56,251,139,251,
197,251,237,251,14,252,42,252,76,252,136,252,210,252,16,253,67,253,127,253,186,253,231,253,9,254,35,254,53,254,71,254,
102,254,150,254,212,254,10,255,40,255,59,255,88,255,125,255,158,255,180,255,181,255,175,255,197,255,246,255,41,0,82,0,
114,0,145,0,180,0,209,0,223,0,234,0,3,1,41,1,95,1,161,1,222,1,20,2,82,2,149,2,206,2,249,2,
30,3,76,3,139,3,216,3,44,4,122,4,191,4,2,5,68,5,124,5,178,5,249,5,68,6,133,6,209,6,51,7,
139,7,197,7,252,7,65,8,127,8,169,8,204,8,251,8,45,9,88,9,140,9,206,9,3,10,38,10,76,10,109,10,
115,10,103,10,92,10,92,10,107,10,124,10,128,10,128,10,131,10,123,10,103,10,81,10,51,10,10,10,229,9,202,9,
178,9,156,9,121,9,69,9,22,9,247,8,206,8,140,8,69,8,16,8,233,7,197,7,157,7,111,7,62,7,13,7,
222,6,175,6,116,6,48,6,250,5,222,5,203,5,173,5,140,5,118,5,90,5,39,5,242,4,200,4,153,4,110,4,
96,4,86,4,48,4,12,4,0,4,242,3,211,3,183,3,153,3,107,3,62,3,31,3,7,3,241,2,220,2,207,2,
202,2,193,2,167,2,136,2,103,2,59,2,18,2,254,1,239,1,204,1,170,1,154,1,142,1,114,1,77,1,40,1,
249,0,196,0,164,0,143,0,101,0,47,0,12,0,246,255,214,255,175,255,137,255,103,255,73,255,41,255,0,255,214,254,
179,254,147,254,118,254,93,254,63,254,28,254,250,253,215,253,182,253,162,253,134,253,86,253,44,253,23,253,1,253,224,252,
197,252,173,252,144,252,123,252,117,252,105,252,73,252,50,252,55,252,62,252,43,252,14,252,2,252,251,251,240,251,233,251,
231,251,225,251,225,251,242,251,5,252,255,251,229,251,213,251,223,251,237,251,240,251,240,251,241,251,244,251,7,252,36,252,
54,252,61,252,70,252,80,252,95,252,122,252,145,252,151,252,153,252,163,252,181,252,204,252,224,252,230,252,232,252,246,252,
12,253,25,253,30,253,35,253,44,253,59,253,77,253,90,253,91,253,82,253,84,253,101,253,113,253,114,253,120,253,127,253,
129,253,135,253,141,253,127,253,103,253,99,253,112,253,118,253,107,253,95,253,93,253,91,253,81,253,69,253,60,253,50,253,
46,253,59,253,79,253,86,253,79,253,71,253,69,253,74,253,79,253,82,253,80,253,79,253,97,253,132,253,155,253,158,253,
167,253,189,253,201,253,206,253,221,253,240,253,251,253,18,254,64,254,112,254,153,254,186,254,208,254,223,254,244,254,18,255,
42,255,58,255,86,255,134,255,183,255,220,255,250,255,17,0,33,0,49,0,66,0,74,0,84,0,111,0,142,0,167,0,
192,0,221,0,243,0,0,1,5,1,3,1,4,1,9,1,17,1,29,1,45,1,58,1,71,1,81,1,72,1,51,1,
37,1,31,1,23,1,17,1,16,1,16,1,15,1,12,1,14,1,26,1,24,1,248,0,221,0,229,0,244,0,238,0,
236,0,252,0,2,1,254,0,2,1,8,1,5,1,7,1,16,1,18,1,19,1,36,1,54,1,61,1,68,1,78,1,
81,1,92,1,110,1,113,1,108,1,129,1,163,1,176,1,181,1,201,1,225,1,246,1,5,2,4,2,251,1,6,2,
30,2,44,2,48,2,56,2,63,2,68,2,72,2,69,2,58,2,46,2,37,2,35,2,41,2,45,2,36,2,22,2,
13,2,10,2,10,2,5,2,254,1,247,1,236,1,214,1,191,1,180,1,176,1,171,1,168,1,162,1,142,1,118,1,
102,1,87,1,59,1,30,1,18,1,7,1,243,0,232,0,230,0,214,0,191,0,186,0,186,0,168,0,153,0,151,0,
143,0,128,0,123,0,124,0,118,0,112,0,107,0,94,0,85,0,92,0,94,0,68,0,36,0,34,0,48,0,48,0,
36,0,32,0,28,0,13,0,1,0,7,0,15,0,7,0,245,255,237,255,245,255,249,255,236,255,224,255,232,255,243,255,
238,255,222,255,209,255,198,255,180,255,159,255,142,255,132,255,128,255,125,255,120,255,118,255,120,255,120,255,106,255,81,255,
50,255,19,255,1,255,255,254,251,254,245,254,0,255,18,255,14,255,253,254,243,254,223,254,185,254,154,254,134,254,111,254,
98,254,108,254,120,254,119,254,111,254,95,254,77,254,67,254,56,254,31,254,8,254,2,254,5,254,7,254,11,254,17,254,
17,254,6,254,248,253,238,253,231,253,223,253,222,253,234,253,255,253,16,254,26,254,19,254,249,253,229,253,229,253,237,253,
249,253,21,254,64,254,98,254,116,254,125,254,126,254,118,254,118,254,132,254,148,254,163,254,182,254,208,254,247,254,46,255,
96,255,126,255,143,255,153,255,153,255,158,255,179,255,201,255,224,255,18,0,87,0,137,0,165,0,184,0,193,0,198,0,
216,0,246,0,21,1,60,1,111,1,154,1,173,1,185,1,203,1,217,1,228,1,2,2,37,2,46,2,48,2,80,2,
122,2,142,2,155,2,169,2,170,2,161,2,159,2,162,2,168,2,185,2,205,2,222,2,248,2,17,3,15,3,242,2,
213,2,205,2,217,2,229,2,229,2,230,2,242,2,1,3,3,3,246,2,229,2,217,2,208,2,198,2,195,2,195,2,
187,2,177,2,181,2,191,2,186,2,166,2,144,2,128,2,119,2,114,2,106,2,92,2,79,2,72,2,63,2,48,2,
29,2,255,1,214,1,184,1,179,1,170,1,143,1,118,1,95,1,57,1,19,1,244,0,192,0,125,0,76,0,44,0,
11,0,237,255,210,255,166,255,106,255,49,255,253,254,200,254,139,254,67,254,254,253,198,253,147,253,91,253,31,253,227,252,
167,252,115,252,64,252,1,252,170,251,76,251,3,251,206,250,149,250,82,250,18,250,207,249,129,249,61,249,11,249,219,248,
166,248,115,248,68,248,24,248,234,247,176,247,110,247,52,247,9,247,230,246,199,246,165,246,129,246,102,246,85,246,66,246,
44,246,17,246,242,245,214,245,191,245,170,245,159,245,164,245,177,245,192,245,215,245,246,245,8,246,255,245,232,245,230,245,
252,245,19,246,33,246,54,246,85,246,125,246,174,246,215,246,239,246,9,247,48,247,80,247,103,247,132,247,166,247,194,247,
227,247,26,248,95,248,148,248,180,248,216,248,5,249,50,249,100,249,158,249,210,249,251,249,35,250,72,250,112,250,160,250,
206,250,249,250,51,251,120,251,182,251,239,251,38,252,79,252,120,252,179,252,238,252,32,253,83,253,129,253,170,253,238,253,
73,254,151,254,218,254,34,255,98,255,145,255,191,255,247,255,59,0,134,0,199,0,1,1,71,1,155,1,226,1,24,2,
79,2,144,2,214,2,37,3,118,3,188,3,249,3,61,4,131,4,187,4,241,4,57,5,133,5,194,5,246,5,51,6,
128,6,202,6,245,6,19,7,76,7,137,7,167,7,193,7,242,7,31,8,68,8,125,8,188,8,230,8,7,9,40,9,
62,9,70,9,82,9,100,9,124,9,146,9,166,9,189,9,218,9,244,9,6,10,11,10,5,10,3,10,0,10,239,9,
228,9,243,9,249,9,225,9,211,9,221,9,220,9,203,9,194,9,185,9,166,9,151,9,145,9,129,9,100,9,76,9,
59,9,27,9,241,8,222,8,222,8,207,8,168,8,131,8,106,8,87,8,65,8,30,8,241,7,201,7,168,7,129,7,
91,7,57,7,28,7,255,6,226,6,196,6,165,6,133,6,94,6,46,6,246,5,195,5,156,5,117,5,68,5,25,5,
244,4,197,4,145,4,108,4,60,4,243,3,182,3,142,3,89,3,20,3,216,2,164,2,112,2,66,2,29,2,242,1,
183,1,122,1,65,1,3,1,189,0,128,0,76,0,19,0,219,255,172,255,116,255,56,255,15,255,234,254,170,254,96,254,
39,254,250,253,208,253,159,253,97,253,41,253,12,253,246,252,210,252,168,252,132,252,93,252,50,252,8,252,234,251,217,251,
193,251,147,251,98,251,68,251,55,251,39,251,10,251,236,250,220,250,212,250,199,250,184,250,170,250,149,250,124,250,109,250,
100,250,98,250,100,250,94,250,83,250,84,250,94,250,92,250,82,250,86,250,101,250,110,250,113,250,116,250,121,250,123,250,
131,250,149,250,168,250,190,250,219,250,239,250,243,250,251,250,18,251,43,251,71,251,98,251,108,251,125,251,173,251,218,251,
234,251,0,252,48,252,96,252,135,252,170,252,198,252,221,252,251,252,29,253,65,253,108,253,162,253,222,253,24,254,71,254,
114,254,154,254,188,254,224,254,13,255,57,255,97,255,147,255,202,255,251,255,48,0,103,0,148,0,192,0,239,0,19,1,
54,1,106,1,153,1,179,1,217,1,26,2,82,2,112,2,140,2,177,2,212,2,247,2,40,3,93,3,131,3,156,3,
186,3,227,3,12,4,38,4,51,4,71,4,106,4,142,4,169,4,197,4,228,4,5,5,42,5,70,5,82,5,100,5,
125,5,130,5,126,5,142,5,168,5,191,5,216,5,231,5,225,5,225,5,236,5,241,5,244,5,250,5,244,5,232,5,
232,5,240,5,238,5,224,5,201,5,183,5,181,5,180,5,164,5,143,5,119,5,90,5,67,5,50,5,22,5,239,4,
206,4,183,4,154,4,115,4,75,4,41,4,4,4,216,3,178,3,148,3,105,3,44,3,246,2,210,2,175,2,123,2,
63,2,13,2,226,1,180,1,128,1,72,1,7,1,194,0,144,0,112,0,77,0,22,0,211,255,151,255,105,255,52,255,
240,254,183,254,144,254,99,254,44,254,251,253,203,253,148,253,95,253,46,253,253,252,211,252,169,252,119,252,69,252,24,252,
237,251,193,251,146,251,102,251,63,251,22,251,229,250,184,250,147,250,106,250,70,250,51,250,29,250,247,249,214,249,192,249,
160,249,118,249,85,249,65,249,48,249,32,249,21,249,3,249,229,248,207,248,200,248,182,248,150,248,136,248,145,248,145,248,
132,248,126,248,126,248,130,248,138,248,138,248,131,248,135,248,143,248,149,248,169,248,203,248,223,248,234,248,6,249,42,249,
68,249,89,249,109,249,125,249,147,249,185,249,224,249,252,249,29,250,75,250,116,250,153,250,205,250,252,250,18,251,46,251,
103,251,166,251,219,251,20,252,79,252,125,252,170,252,226,252,26,253,76,253,131,253,197,253,4,254,54,254,102,254,158,254,
213,254,3,255,54,255,116,255,169,255,214,255,14,0,85,0,158,0,218,0,10,1,65,1,136,1,196,1,237,1,36,2,
107,2,166,2,227,2,45,3,108,3,160,3,231,3,44,4,84,4,122,4,183,4,243,4,42,5,115,5,193,5,248,5,
36,6,95,6,162,6,215,6,3,7,57,7,121,7,185,7,249,7,57,8,114,8,164,8,213,8,1,9,33,9,63,9,
103,9,147,9,184,9,224,9,21,10,72,10,106,10,130,10,148,10,154,10,160,10,173,10,177,10,179,10,207,10,245,10,
8,11,14,11,24,11,30,11,22,11,1,11,228,10,200,10,183,10,171,10,159,10,146,10,125,10,102,10,81,10,51,10,
5,10,206,9,147,9,91,9,44,9,247,8,188,8,148,8,123,8,76,8,18,8,228,7,168,7,82,7,7,7,211,6,
149,6,72,6,5,6,200,5,135,5,75,5,20,5,206,4,127,4,63,4,1,4,173,3,82,3,7,3,193,2,113,2,
36,2,228,1,164,1,88,1,6,1,183,0,112,0,45,0,227,255,151,255,78,255,5,255,186,254,112,254,38,254,216,253,
134,253,54,253,241,252,170,252,76,252,229,251,146,251,75,251,249,250,163,250,84,250,2,250,176,249,101,249,20,249,189,248,
111,248,40,248,219,247,138,247,61,247,237,246,148,246,64,246,252,245,190,245,111,245,24,245,200,244,118,244,31,244,208,243,
139,243,63,243,246,242,182,242,111,242,36,242,233,241,176,241,101,241,24,241,220,240,165,240,98,240,29,240,232,239,188,239,
139,239,86,239,41,239,4,239,224,238,189,238,149,238,105,238,76,238,73,238,83,238,93,238,90,238,72,238,55,238,51,238,
52,238,49,238,53,238,65,238,85,238,122,238,177,238,233,238,23,239,67,239,124,239,199,239,21,240,75,240,110,240,159,240,
242,240,85,241,174,241,6,242,106,242,199,242,29,243,127,243,233,243,65,244,144,244,241,244,95,245,209,245,62,246,159,246,
253,246,103,247,219,247,86,248,223,248,98,249,206,249,57,250,184,250,61,251,183,251,40,252,152,252,17,253,143,253,4,254,
118,254,239,254,95,255,195,255,47,0,160,0,2,1,99,1,206,1,44,2,122,2,215,2,81,3,210,3,72,4,174,4,
2,5,77,5,157,5,252,5,101,6,200,6,30,7,111,7,197,7,31,8,111,8,178,8,241,8,51,9,122,9,201,9,
19,10,74,10,115,10,166,10,236,10,52,11,119,11,181,11,241,11,38,12,86,12,140,12,205,12,10,13,61,13,120,13,
182,13,235,13,32,14,74,14,93,14,114,14,157,14,194,14,215,14,249,14,27,15,37,15,50,15,79,15,94,15,97,15,
118,15,143,15,153,15,154,15,150,15,138,15,130,15,135,15,137,15,134,15,135,15,139,15,142,15,136,15,114,15,81,15,
44,15,6,15,217,14,172,14,136,14,103,14,57,14,4,14,213,13,160,13,97,13,46,13,4,13,206,12,140,12,87,12,
37,12,224,11,146,11,85,11,33,11,236,10,183,10,129,10,57,10,226,9,145,9,72,9,246,8,162,8,90,8,15,8,
179,7,86,7,246,6,146,6,60,6,252,5,192,5,133,5,78,5,6,5,173,4,89,4,13,4,193,3,126,3,66,3,
251,2,177,2,115,2,54,2,239,1,164,1,93,1,30,1,231,0,170,0,92,0,2,0,173,255,104,255,46,255,248,254,
198,254,147,254,85,254,22,254,225,253,175,253,115,253,53,253,255,252,213,252,177,252,121,252,39,252,224,251,178,251,129,251,
60,251,246,250,180,250,111,250,40,250,222,249,145,249,75,249,13,249,205,248,135,248,67,248,253,247,168,247,74,247,250,246,
192,246,134,246,66,246,255,245,188,245,116,245,44,245,227,244,135,244,33,244,209,243,154,243,100,243,30,243,208,242,138,242,
81,242,43,242,16,242,236,241,181,241,129,241,95,241,68,241,46,241,31,241,13,241,252,240,1,241,22,241,35,241,41,241,
42,241,38,241,44,241,73,241,114,241,156,241,200,241,240,241,26,242,82,242,141,242,194,242,3,243,84,243,165,243,246,243,
79,244,168,244,245,244,58,245,140,245,249,245,107,246,195,246,16,247,111,247,208,247,34,248,120,248,218,248,57,249,149,249,
243,249,75,250,155,250,237,250,64,251,143,251,228,251,69,252,166,252,251,252,71,253,151,253,237,253,66,254,136,254,197,254,
9,255,83,255,146,255,201,255,9,0,77,0,141,0,206,0,8,1,57,1,110,1,165,1,207,1,5,2,83,2,145,2,
192,2,15,3,114,3,181,3,238,3,58,4,123,4,169,4,245,4,97,5,186,5,245,5,60,6,158,6,253,6,66,7,
127,7,197,7,13,8,85,8,156,8,225,8,53,9,163,9,14,10,96,10,178,10,13,11,77,11,122,11,186,11,7,12,
71,12,142,12,225,12,46,13,119,13,195,13,247,13,7,14,25,14,60,14,85,14,93,14,105,14,120,14,133,14,158,14,
180,14,174,14,153,14,148,14,147,14,133,14,125,14,117,14,87,14,58,14,52,14,44,14,13,14,224,13,173,13,117,13,
67,13,24,13,226,12,157,12,89,12,38,12,248,11,185,11,107,11,30,11,212,10,143,10,88,10,35,10,218,9,140,9,
80,9,27,9,220,8,156,8,93,8,28,8,220,7,163,7,113,7,63,7,0,7,179,6,101,6,24,6,197,5,110,5,
19,5,188,4,120,4,70,4,18,4,213,3,154,3,97,3,32,3,213,2,134,2,62,2,254,1,188,1,123,1,74,1,
32,1,236,0,176,0,122,0,70,0,5,0,174,255,79,255,254,254,184,254,111,254,34,254,219,253,160,253,114,253,70,253,
12,253,204,252,147,252,86,252,15,252,205,251,156,251,116,251,74,251,26,251,235,250,197,250,163,250,119,250,62,250,254,249,
191,249,138,249,95,249,53,249,11,249,224,248,186,248,148,248,98,248,42,248,0,248,220,247,173,247,129,247,102,247,75,247,
42,247,9,247,220,246,155,246,94,246,39,246,238,245,189,245,152,245,109,245,57,245,11,245,226,244,177,244,114,244,33,244,
197,243,105,243,10,243,174,242,107,242,65,242,40,242,31,242,15,242,217,241,141,241,70,241,250,240,162,240,90,240,51,240,
33,240,24,240,29,240,34,240,16,240,233,239,193,239,158,239,122,239,91,239,67,239,46,239,30,239,36,239,75,239,135,239,
194,239,244,239,34,240,79,240,120,240,159,240,199,240,243,240,57,241,165,241,29,242,125,242,197,242,3,243,69,243,150,243,
242,243,79,244,175,244,9,245,83,245,165,245,11,246,104,246,192,246,59,247,204,247,76,248,195,248,61,249,166,249,0,250,
100,250,209,250,65,251,179,251,19,252,93,252,177,252,37,253,169,253,44,254,161,254,249,254,52,255,104,255,161,255,216,255,
6,0,65,0,163,0,29,1,140,1,229,1,52,2,118,2,170,2,230,2,57,3,149,3,222,3,22,4,80,4,147,4,
221,4,41,5,118,5,187,5,250,5,46,6,87,6,123,6,160,6,201,6,4,7,91,7,182,7,0,8,59,8,100,8,
124,8,163,8,233,8,58,9,141,9,230,9,56,10,117,10,159,10,193,10,234,10,32,11,83,11,119,11,145,11,172,11,
205,11,243,11,20,12,47,12,72,12,91,12,106,12,122,12,122,12,94,12,78,12,98,12,124,12,134,12,148,12,163,12,
159,12,145,12,133,12,111,12,76,12,50,12,26,12,234,11,170,11,117,11,70,11,13,11,215,10,173,10,119,10,53,10,
1,10,205,9,128,9,53,9,255,8,191,8,110,8,51,8,12,8,208,7,128,7,60,7,15,7,234,6,185,6,116,6,
29,6,193,5,103,5,17,5,198,4,130,4,53,4,227,3,163,3,118,3,59,3,230,2,145,2,73,2,13,2,221,1,
176,1,118,1,59,1,15,1,227,0,179,0,144,0,111,0,60,0,3,0,207,255,156,255,106,255,61,255,19,255,235,254,
193,254,145,254,98,254,63,254,28,254,243,253,203,253,174,253,157,253,148,253,137,253,122,253,103,253,77,253,53,253,44,253,
38,253,24,253,11,253,253,252,239,252,237,252,244,252,229,252,200,252,180,252,156,252,119,252,98,252,93,252,77,252,59,252,
63,252,74,252,72,252,70,252,74,252,67,252,56,252,59,252,64,252,54,252,43,252,45,252,47,252,44,252,45,252,46,252,
42,252,38,252,30,252,14,252,5,252,4,252,251,251,238,251,238,251,250,251,12,252,34,252,54,252,62,252,64,252,75,252,
100,252,127,252,142,252,159,252,192,252,218,252,230,252,7,253,54,253,74,253,79,253,103,253,130,253,145,253,173,253,207,253,
224,253,245,253,38,254,94,254,138,254,176,254,225,254,27,255,77,255,110,255,143,255,189,255,234,255,15,0,56,0,100,0,
139,0,181,0,223,0,2,1,34,1,77,1,121,1,148,1,170,1,202,1,231,1,244,1,1,2,29,2,63,2,89,2,
117,2,153,2,188,2,214,2,236,2,0,3,19,3,33,3,41,3,40,3,33,3,36,3,52,3,57,3,46,3,50,3,
61,3,46,3,23,3,27,3,36,3,26,3,16,3,9,3,251,2,242,2,245,2,245,2,240,2,235,2,227,2,226,2,
231,2,224,2,204,2,199,2,199,2,180,2,161,2,158,2,147,2,122,2,109,2,113,2,101,2,78,2,76,2,90,2,
84,2,63,2,57,2,56,2,45,2,43,2,52,2,48,2,37,2,41,2,44,2,34,2,27,2,18,2,250,1,232,1,
231,1,222,1,196,1,176,1,165,1,148,1,127,1,115,1,108,1,86,1,50,1,14,1,251,0,0,1,5,1,239,0,
200,0,182,0,177,0,153,0,118,0,91,0,56,0,13,0,245,255,225,255,181,255,132,255,104,255,85,255,54,255,19,255,
239,254,193,254,146,254,112,254,84,254,51,254,23,254,6,254,241,253,213,253,196,253,176,253,132,253,88,253,58,253,25,253,
248,252,229,252,201,252,160,252,139,252,133,252,109,252,78,252,54,252,19,252,239,251,226,251,219,251,199,251,177,251,166,251,
159,251,157,251,155,251,145,251,130,251,127,251,136,251,137,251,120,251,105,251,110,251,115,251,103,251,94,251,101,251,100,251,
91,251,98,251,114,251,113,251,110,251,131,251,159,251,172,251,186,251,210,251,220,251,217,251,233,251,15,252,48,252,72,252,
93,252,114,252,136,252,159,252,179,252,201,252,229,252,252,252,20,253,57,253,96,253,123,253,143,253,163,253,191,253,238,253,
33,254,61,254,88,254,139,254,197,254,237,254,17,255,57,255,100,255,143,255,178,255,211,255,253,255,38,0,69,0,111,0,
163,0,200,0,230,0,16,1,54,1,79,1,117,1,168,1,212,1,252,1,41,2,80,2,120,2,173,2,224,2,3,3,
38,3,83,3,123,3,147,3,173,3,214,3,2,4,35,4,62,4,87,4,112,4,141,4,177,4,208,4,232,4,254,4,
18,5,38,5,59,5,79,5,93,5,104,5,123,5,150,5,173,5,185,5,195,5,203,5,204,5,206,5,209,5,202,5,
185,5,173,5,167,5,161,5,159,5,151,5,128,5,106,5,92,5,71,5,46,5,26,5,1,5,229,4,212,4,200,4,
181,4,156,4,126,4,89,4,62,4,43,4,14,4,231,3,199,3,165,3,123,3,79,3,38,3,255,2,218,2,179,2,
141,2,114,2,82,2,33,2,238,1,204,1,172,1,132,1,92,1,58,1,19,1,231,0,194,0,164,0,129,0,93,0,
64,0,28,0,232,255,184,255,147,255,96,255,40,255,8,255,241,254,200,254,152,254,117,254,78,254,27,254,244,253,218,253,
185,253,143,253,114,253,92,253,59,253,21,253,245,252,212,252,176,252,145,252,111,252,73,252,43,252,20,252,240,251,201,251,
176,251,152,251,114,251,72,251,38,251,11,251,244,250,224,250,202,250,184,250,172,250,164,250,150,250,123,250,98,250,86,250,
80,250,71,250,67,250,65,250,55,250,48,250,47,250,37,250,29,250,34,250,34,250,17,250,10,250,19,250,25,250,28,250,
37,250,47,250,58,250,75,250,96,250,116,250,134,250,151,250,170,250,195,250,224,250,1,251,34,251,63,251,94,251,133,251,
162,251,180,251,214,251,3,252,34,252,61,252,107,252,154,252,187,252,225,252,22,253,69,253,108,253,157,253,214,253,14,254,
72,254,131,254,184,254,240,254,47,255,100,255,155,255,225,255,32,0,79,0,136,0,198,0,239,0,30,1,111,1,186,1,
240,1,51,2,131,2,183,2,215,2,6,3,65,3,123,3,182,3,246,3,68,4,150,4,214,4,5,5,56,5,112,5,
169,5,231,5,37,6,93,6,144,6,194,6,245,6,47,7,104,7,149,7,193,7,246,7,38,8,71,8,97,8,118,8,
145,8,196,8,4,9,56,9,89,9,111,9,127,9,147,9,176,9,210,9,241,9,11,10,30,10,43,10,54,10,59,10,
47,10,28,10,23,10,33,10,42,10,43,10,34,10,8,10,229,9,205,9,193,9,177,9,151,9,119,9,85,9,59,9,
33,9,255,8,225,8,207,8,183,8,139,8,86,8,27,8,219,7,161,7,107,7,41,7,234,6,185,6,129,6,51,6,
230,5,168,5,97,5,11,5,193,4,141,4,82,4,255,3,169,3,90,3,3,3,168,2,98,2,37,2,217,1,130,1,
48,1,226,0,146,0,60,0,222,255,123,255,27,255,195,254,115,254,30,254,189,253,98,253,20,253,196,252,104,252,11,252,
170,251,74,251,246,250,172,250,98,250,32,250,229,249,155,249,64,249,233,248,150,248,64,248,233,247,152,247,78,247,13,247,
206,246,129,246,51,246,244,245,183,245,109,245,32,245,218,244,144,244,72,244,21,244,239,243,195,243,145,243,94,243,37,243,
235,242,180,242,120,242,61,242,22,242,251,241,221,241,191,241,160,241,113,241,60,241,15,241,227,240,184,240,161,240,160,240,
156,240,140,240,124,240,112,240,98,240,75,240,45,240,22,240,18,240,46,240,90,240,119,240,128,240,143,240,168,240,189,240,
205,240,216,240,213,240,214,240,242,240,32,241,90,241,169,241,247,241,47,242,106,242,174,242,214,242,229,242,14,243,83,243,
153,243,238,243,97,244,207,244,37,245,122,245,211,245,35,246,110,246,189,246,1,247,70,247,178,247,57,248,163,248,240,248,
80,249,195,249,41,250,128,250,216,250,50,251,151,251,16,252,137,252,240,252,89,253,209,253,69,254,172,254,21,255,129,255,
226,255,71,0,191,0,51,1,142,1,227,1,62,2,148,2,236,2,80,3,176,3,3,4,95,4,201,4,49,5,143,5,
231,5,58,6,140,6,218,6,31,7,106,7,197,7,33,8,114,8,190,8,14,9,94,9,163,9,204,9,227,9,9,10,
70,10,128,10,179,10,237,10,40,11,86,11,120,11,155,11,191,11,218,11,240,11,18,12,57,12,88,12,122,12,169,12,
204,12,214,12,221,12,235,12,240,12,230,12,215,12,199,12,189,12,194,12,205,12,198,12,175,12,154,12,134,12,104,12,
70,12,36,12,255,11,230,11,223,11,205,11,159,11,115,11,94,11,74,11,45,11,11,11,221,10,160,10,105,10,61,10,
13,10,214,9,150,9,81,9,20,9,225,8,166,8,100,8,47,8,8,8,214,7,151,7,93,7,39,7,228,6,152,6,
89,6,35,6,238,5,192,5,153,5,102,5,37,5,237,4,186,4,114,4,21,4,191,3,122,3,50,3,228,2,168,2,
124,2,66,2,250,1,192,1,143,1,84,1,24,1,223,0,152,0,76,0,24,0,236,255,181,255,135,255,99,255,42,255,
229,254,182,254,144,254,80,254,3,254,196,253,150,253,101,253,41,253,228,252,164,252,120,252,88,252,49,252,1,252,213,251,
180,251,148,251,112,251,74,251,30,251,236,250,193,250,158,250,126,250,99,250,83,250,66,250,40,250,15,250,253,249,228,249,
191,249,159,249,132,249,99,249,67,249,51,249,42,249,31,249,30,249,41,249,48,249,53,249,63,249,67,249,62,249,61,249,
67,249,76,249,86,249,97,249,118,249,152,249,176,249,181,249,193,249,222,249,242,249,254,249,18,250,43,250,67,250,106,250,
153,250,181,250,202,250,245,250,46,251,102,251,162,251,217,251,3,252,45,252,97,252,151,252,204,252,8,253,65,253,113,253,
173,253,251,253,55,254,87,254,127,254,188,254,251,254,55,255,123,255,181,255,219,255,6,0,78,0,164,0,237,0,33,1,
83,1,148,1,220,1,25,2,77,2,125,2,171,2,224,2,41,3,113,3,158,3,187,3,228,3,26,4,69,4,98,4,
124,4,153,4,183,4,225,4,25,5,68,5,84,5,99,5,139,5,186,5,211,5,224,5,244,5,17,6,46,6,78,6,
103,6,105,6,98,6,107,6,126,6,139,6,151,6,157,6,147,6,137,6,144,6,148,6,133,6,118,6,114,6,114,6,
120,6,123,6,109,6,86,6,79,6,89,6,96,6,88,6,67,6,44,6,20,6,255,5,242,5,226,5,194,5,164,5,
161,5,166,5,144,5,98,5,55,5,20,5,247,4,229,4,217,4,197,4,162,4,127,4,108,4,100,4,82,4,44,4,
250,3,200,3,159,3,134,3,120,3,94,3,45,3,250,2,213,2,175,2,125,2,73,2,25,2,232,1,184,1,140,1,
99,1,61,1,20,1,226,0,175,0,139,0,107,0,64,0,9,0,210,255,156,255,103,255,54,255,9,255,227,254,191,254,
150,254,106,254,58,254,6,254,215,253,177,253,131,253,75,253,33,253,6,253,218,252,158,252,111,252,85,252,55,252,24,252,
6,252,247,251,218,251,179,251,139,251,98,251,59,251,23,251,241,250,202,250,182,250,174,250,152,250,114,250,83,250,58,250,
28,250,2,250,238,249,211,249,186,249,176,249,165,249,142,249,123,249,114,249,104,249,93,249,86,249,74,249,55,249,35,249,
20,249,13,249,12,249,2,249,245,248,251,248,6,249,249,248,224,248,224,248,237,248,237,248,236,248,246,248,252,248,255,248,
18,249,44,249,65,249,84,249,102,249,116,249,137,249,171,249,201,249,222,249,242,249,10,250,41,250,80,250,118,250,145,250,
173,250,216,250,10,251,55,251,95,251,135,251,175,251,217,251,12,252,71,252,117,252,149,252,195,252,8,253,72,253,117,253,
166,253,223,253,20,254,77,254,146,254,209,254,255,254,44,255,99,255,149,255,188,255,230,255,31,0,98,0,164,0,223,0,
15,1,55,1,101,1,161,1,215,1,252,1,31,2,74,2,121,2,172,2,231,2,31,3,75,3,118,3,165,3,206,3,
245,3,32,4,66,4,82,4,101,4,137,4,175,4,206,4,232,4,3,5,35,5,77,5,117,5,138,5,147,5,159,5,
171,5,186,5,217,5,248,5,2,6,4,6,29,6,62,6,76,6,85,6,102,6,110,6,107,6,107,6,99,6,76,6,
66,6,81,6,88,6,83,6,96,6,110,6,94,6,73,6,81,6,93,6,78,6,54,6,39,6,33,6,40,6,51,6,
41,6,15,6,252,5,243,5,236,5,224,5,202,5,167,5,134,5,121,5,126,5,122,5,87,5,36,5,3,5,244,4,
224,4,197,4,166,4,129,4,102,4,101,4,91,4,46,4,255,3,233,3,213,3,175,3,134,3,96,3,55,3,22,3,
249,2,207,2,150,2,95,2,47,2,2,2,218,1,183,1,142,1,86,1,29,1,249,0,230,0,194,0,135,0,78,0,
34,0,244,255,199,255,160,255,114,255,61,255,28,255,10,255,230,254,178,254,124,254,63,254,5,254,224,253,195,253,147,253,
95,253,66,253,48,253,15,253,228,252,193,252,165,252,143,252,128,252,119,252,106,252,90,252,76,252,64,252,53,252,43,252,
28,252,12,252,8,252,14,252,11,252,253,251,250,251,7,252,23,252,36,252,45,252,51,252,56,252,61,252,62,252,70,252,
98,252,131,252,149,252,166,252,199,252,238,252,17,253,48,253,68,253,79,253,103,253,146,253,179,253,184,253,178,253,187,253,
214,253,250,253,30,254,57,254,71,254,83,254,106,254,135,254,158,254,171,254,177,254,180,254,193,254,220,254,244,254,250,254,
0,255,26,255,55,255,70,255,75,255,75,255,64,255,49,255,40,255,39,255,34,255,19,255,13,255,26,255,37,255,24,255,
4,255,2,255,4,255,3,255,9,255,5,255,236,254,225,254,241,254,250,254,237,254,222,254,200,254,171,254,172,254,201,254,
202,254,162,254,131,254,130,254,134,254,123,254,99,254,77,254,65,254,56,254,41,254,26,254,13,254,2,254,3,254,19,254,
28,254,18,254,1,254,240,253,219,253,204,253,187,253,148,253,106,253,95,253,100,253,87,253,60,253,38,253,16,253,248,252,
231,252,213,252,188,252,167,252,156,252,140,252,113,252,88,252,67,252,44,252,34,252,42,252,40,252,12,252,235,251,216,251,
200,251,184,251,172,251,159,251,143,251,138,251,139,251,124,251,99,251,82,251,77,251,87,251,115,251,134,251,124,251,112,251,
125,251,143,251,147,251,149,251,160,251,172,251,189,251,219,251,251,251,12,252,22,252,48,252,88,252,122,252,139,252,148,252,
160,252,183,252,216,252,255,252,32,253,63,253,105,253,161,253,217,253,1,254,21,254,40,254,79,254,124,254,154,254,181,254,
224,254,18,255,62,255,108,255,159,255,206,255,246,255,14,0,20,0,32,0,68,0,103,0,124,0,157,0,211,0,1,1,
28,1,56,1,93,1,128,1,150,1,165,1,182,1,207,1,230,1,247,1,13,2,46,2,81,2,108,2,125,2,138,2,
151,2,156,2,145,2,137,2,150,2,172,2,194,2,225,2,254,2,9,3,14,3,25,3,34,3,41,3,57,3,66,3,
58,3,54,3,67,3,84,3,96,3,107,3,114,3,118,3,127,3,135,3,132,3,120,3,105,3,97,3,114,3,143,3,
147,3,126,3,117,3,129,3,138,3,138,3,134,3,125,3,118,3,128,3,140,3,129,3,107,3,97,3,98,3,90,3,
76,3,66,3,47,3,9,3,236,2,231,2,227,2,204,2,181,2,165,2,142,2,112,2,95,2,76,2,38,2,4,2,
249,1,231,1,184,1,137,1,111,1,78,1,30,1,254,0,236,0,198,0,145,0,111,0,86,0,43,0,252,255,212,255,
172,255,140,255,122,255,88,255,27,255,236,254,219,254,201,254,178,254,159,254,131,254,93,254,70,254,61,254,39,254,6,254,
239,253,224,253,209,253,193,253,170,253,145,253,135,253,133,253,124,253,117,253,122,253,127,253,124,253,118,253,117,253,118,253,
122,253,131,253,144,253,161,253,176,253,186,253,196,253,211,253,234,253,6,254,31,254,45,254,54,254,67,254,88,254,117,254,
143,254,155,254,163,254,184,254,211,254,237,254,14,255,47,255,68,255,90,255,133,255,180,255,208,255,224,255,247,255,24,0,
58,0,78,0,89,0,116,0,159,0,195,0,219,0,246,0,14,1,30,1,54,1,86,1,106,1,124,1,157,1,187,1,
206,1,235,1,23,2,56,2,79,2,108,2,141,2,172,2,203,2,231,2,254,2,22,3,51,3,74,3,95,3,121,3,
147,3,164,3,182,3,215,3,251,3,19,4,37,4,61,4,87,4,106,4,118,4,129,4,143,4,166,4,199,4,230,4,
248,4,6,5,27,5,47,5,54,5,53,5,61,5,72,5,73,5,68,5,74,5,80,5,79,5,79,5,81,5,69,5,
51,5,48,5,42,5,14,5,244,4,240,4,243,4,235,4,214,4,179,4,142,4,118,4,96,4,63,4,36,4,20,4,
248,3,208,3,180,3,156,3,116,3,69,3,25,3,230,2,169,2,115,2,76,2,40,2,254,1,216,1,183,1,140,1,
82,1,32,1,253,0,204,0,136,0,84,0,55,0,18,0,225,255,184,255,147,255,104,255,60,255,9,255,205,254,153,254,
116,254,76,254,29,254,244,253,204,253,160,253,119,253,82,253,42,253,3,253,224,252,188,252,148,252,117,252,95,252,73,252,
40,252,255,251,222,251,203,251,181,251,140,251,93,251,61,251,43,251,23,251,246,250,211,250,188,250,171,250,143,250,111,250,
89,250,71,250,47,250,29,250,23,250,14,250,255,249,244,249,236,249,222,249,210,249,205,249,194,249,178,249,173,249,183,249,
190,249,181,249,175,249,185,249,196,249,194,249,193,249,206,249,222,249,230,249,239,249,250,249,8,250,28,250,54,250,79,250,
105,250,140,250,178,250,216,250,253,250,30,251,59,251,92,251,131,251,170,251,215,251,14,252,58,252,85,252,125,252,196,252,
15,253,71,253,130,253,203,253,8,254,56,254,118,254,179,254,215,254,4,255,96,255,201,255,28,0,106,0,188,0,3,1,
73,1,151,1,213,1,1,2,57,2,130,2,202,2,23,3,96,3,153,3,217,3,57,4,154,4,220,4,16,5,62,5,
98,5,146,5,223,5,43,6,90,6,129,6,183,6,247,6,54,7,102,7,131,7,147,7,166,7,202,7,2,8,57,8,
78,8,82,8,107,8,146,8,167,8,164,8,160,8,169,8,194,8,224,8,244,8,248,8,240,8,223,8,210,8,209,8,
205,8,183,8,162,8,160,8,164,8,158,8,139,8,114,8,88,8,71,8,58,8,31,8,245,7,203,7,170,7,144,7,
129,7,121,7,105,7,65,7,15,7,232,6,195,6,145,6,88,6,39,6,253,5,219,5,192,5,153,5,98,5,55,5,
22,5,227,4,156,4,87,4,22,4,211,3,157,3,121,3,79,3,22,3,221,2,168,2,116,2,57,2,245,1,173,1,
112,1,64,1,14,1,200,0,117,0,46,0,250,255,201,255,139,255,73,255,13,255,211,254,144,254,70,254,2,254,205,253,
157,253,103,253,49,253,1,253,212,252,163,252,104,252,36,252,228,251,178,251,130,251,74,251,28,251,252,250,214,250,166,250,
120,250,76,250,31,250,252,249,220,249,172,249,115,249,74,249,38,249,247,248,201,248,163,248,124,248,83,248,43,248,2,248,
215,247,165,247,92,247,14,247,215,246,175,246,128,246,82,246,49,246,22,246,2,246,244,245,211,245,141,245,60,245,247,244,
182,244,105,244,23,244,209,243,142,243,72,243,39,243,74,243,114,243,83,243,253,242,172,242,95,242,9,242,184,241,103,241,
29,241,15,241,74,241,135,241,153,241,151,241,139,241,106,241,67,241,32,241,232,240,158,240,112,240,121,240,171,240,241,240,
57,241,113,241,165,241,228,241,18,242,11,242,236,241,239,241,36,242,120,242,226,242,85,243,188,243,28,244,138,244,246,244,
67,245,125,245,194,245,27,246,135,246,4,247,124,247,215,247,44,248,162,248,53,249,190,249,39,250,128,250,226,250,90,251,
228,251,107,252,227,252,88,253,224,253,112,254,234,254,65,255,136,255,225,255,99,0,1,1,139,1,234,1,60,2,158,2,
254,2,69,3,132,3,195,3,10,4,113,4,241,4,79,5,121,5,160,5,228,5,54,6,151,6,3,7,76,7,103,7,
141,7,222,7,42,8,85,8,126,8,184,8,238,8,25,9,64,9,88,9,96,9,123,9,192,9,10,10,57,10,89,10,
108,10,104,10,112,10,158,10,209,10,238,10,22,11,88,11,150,11,192,11,214,11,218,11,227,11,8,12,47,12,61,12,
65,12,75,12,84,12,100,12,133,12,162,12,169,12,157,12,136,12,122,12,121,12,117,12,99,12,92,12,109,12,134,12,
153,12,150,12,115,12,73,12,51,12,39,12,22,12,6,12,234,11,174,11,109,11,78,11,59,11,16,11,208,10,139,10,
67,10,7,10,220,9,159,9,65,9,233,8,180,8,140,8,92,8,27,8,186,7,69,7,236,6,190,6,141,6,58,6,
223,5,144,5,65,5,240,4,156,4,52,4,184,3,80,3,6,3,181,2,79,2,235,1,144,1,54,1,233,0,170,0,
96,0,0,0,161,255,83,255,16,255,206,254,129,254,44,254,232,253,195,253,162,253,103,253,26,253,212,252,156,252,103,252,
46,252,245,251,190,251,136,251,91,251,61,251,37,251,11,251,243,250,222,250,210,250,209,250,202,250,173,250,146,250,148,250,
160,250,162,250,168,250,183,250,194,250,212,250,236,250,243,250,228,250,225,250,246,250,11,251,14,251,6,251,7,251,27,251,
59,251,95,251,129,251,153,251,170,251,197,251,227,251,241,251,255,251,33,252,67,252,89,252,119,252,159,252,184,252,195,252,
217,252,252,252,29,253,55,253,70,253,79,253,101,253,135,253,161,253,178,253,204,253,238,253,7,254,31,254,69,254,110,254,
136,254,161,254,206,254,3,255,42,255,71,255,104,255,136,255,169,255,216,255,14,0,51,0,79,0,124,0,175,0,204,0,
230,0,20,1,66,1,102,1,149,1,208,1,0,2,46,2,103,2,159,2,208,2,10,3,66,3,102,3,132,3,175,3,
222,3,7,4,47,4,86,4,124,4,158,4,189,4,219,4,246,4,14,5,38,5,65,5,88,5,100,5,108,5,116,5,
130,5,150,5,167,5,170,5,169,5,176,5,181,5,181,5,190,5,203,5,194,5,165,5,142,5,130,5,107,5,72,5,
41,5,13,5,241,4,220,4,199,4,164,4,138,4,132,4,113,4,65,4,24,4,1,4,224,3,181,3,148,3,120,3,
96,3,79,3,58,3,27,3,2,3,235,2,195,2,155,2,129,2,92,2,39,2,4,2,246,1,221,1,185,1,160,1,
141,1,118,1,101,1,86,1,51,1,8,1,243,0,237,0,218,0,191,0,176,0,163,0,139,0,118,0,103,0,81,0,
51,0,27,0,255,255,223,255,200,255,182,255,144,255,97,255,71,255,67,255,58,255,30,255,248,254,214,254,197,254,192,254,
173,254,132,254,93,254,73,254,60,254,38,254,11,254,244,253,220,253,195,253,172,253,154,253,135,253,99,253,50,253,12,253,
244,252,211,252,173,252,147,252,129,252,103,252,76,252,53,252,24,252,254,251,237,251,214,251,183,251,162,251,154,251,143,251,
124,251,100,251,70,251,43,251,25,251,8,251,244,250,225,250,208,250,189,250,166,250,143,250,130,250,124,250,104,250,71,250,
50,250,56,250,68,250,65,250,52,250,46,250,50,250,55,250,58,250,57,250,45,250,35,250,45,250,55,250,47,250,41,250,
52,250,62,250,64,250,74,250,78,250,65,250,58,250,71,250,84,250,88,250,103,250,131,250,163,250,193,250,221,250,243,250,
7,251,23,251,39,251,65,251,103,251,137,251,158,251,170,251,188,251,221,251,2,252,25,252,34,252,53,252,94,252,138,252,
169,252,196,252,231,252,12,253,55,253,109,253,161,253,194,253,221,253,8,254,64,254,116,254,167,254,221,254,17,255,58,255,
95,255,138,255,179,255,211,255,244,255,34,0,81,0,120,0,158,0,197,0,236,0,28,1,81,1,123,1,158,1,204,1,
252,1,31,2,64,2,105,2,147,2,188,2,232,2,17,3,50,3,74,3,90,3,116,3,160,3,197,3,207,3,212,3,
237,3,7,4,13,4,17,4,39,4,65,4,83,4,103,4,131,4,151,4,158,4,171,4,189,4,197,4,198,4,198,4,
197,4,201,4,216,4,231,4,233,4,225,4,216,4,211,4,209,4,199,4,179,4,156,4,139,4,134,4,135,4,125,4,
104,4,95,4,100,4,93,4,72,4,51,4,24,4,250,3,236,3,235,3,226,3,203,3,172,3,143,3,125,3,105,3,
66,3,19,3,236,2,203,2,178,2,169,2,151,2,104,2,56,2,30,2,12,2,235,1,188,1,142,1,107,1,83,1,
62,1,40,1,2,1,206,0,167,0,151,0,125,0,69,0,13,0,230,255,191,255,156,255,140,255,117,255,71,255,33,255,
16,255,249,254,210,254,171,254,128,254,84,254,63,254,64,254,51,254,24,254,6,254,243,253,216,253,199,253,190,253,167,253,
143,253,148,253,165,253,163,253,142,253,120,253,112,253,120,253,126,253,119,253,115,253,127,253,161,253,212,253,253,253,0,254,
250,253,10,254,32,254,41,254,44,254,48,254,59,254,97,254,163,254,227,254,12,255,40,255,72,255,107,255,136,255,151,255,
155,255,151,255,157,255,205,255,30,0,95,0,128,0,155,0,191,0,232,0,12,1,24,1,10,1,13,1,47,1,85,1,
116,1,154,1,181,1,188,1,203,1,235,1,2,2,3,2,251,1,245,1,0,2,27,2,43,2,37,2,25,2,18,2,
19,2,27,2,26,2,4,2,239,1,245,1,5,2,253,1,231,1,220,1,209,1,181,1,150,1,130,1,108,1,78,1,
58,1,49,1,30,1,255,0,229,0,206,0,170,0,131,0,105,0,81,0,45,0,2,0,218,255,178,255,147,255,125,255,
87,255,18,255,209,254,171,254,138,254,90,254,36,254,240,253,200,253,174,253,132,253,57,253,235,252,181,252,138,252,89,252,
31,252,221,251,150,251,82,251,28,251,250,250,221,250,160,250,75,250,8,250,217,249,156,249,82,249,10,249,192,248,133,248,
109,248,98,248,67,248,10,248,197,247,140,247,113,247,87,247,28,247,208,246,150,246,123,246,120,246,116,246,82,246,38,246,
26,246,38,246,33,246,5,246,224,245,185,245,157,245,151,245,162,245,170,245,173,245,186,245,219,245,254,245,16,246,18,246,
21,246,37,246,68,246,101,246,123,246,136,246,156,246,203,246,15,247,72,247,100,247,132,247,197,247,19,248,71,248,99,248,
123,248,156,248,212,248,38,249,115,249,166,249,204,249,6,250,96,250,206,250,45,251,98,251,124,251,165,251,246,251,85,252,
165,252,234,252,55,253,141,253,236,253,85,254,172,254,219,254,251,254,61,255,163,255,12,0,97,0,166,0,234,0,64,1,
171,1,23,2,102,2,153,2,210,2,36,3,124,3,199,3,12,4,85,4,170,4,16,5,114,5,185,5,228,5,6,6,
53,6,120,6,194,6,7,7,77,7,143,7,196,7,250,7,53,8,90,8,106,8,146,8,208,8,1,9,42,9,89,9,
116,9,129,9,172,9,244,9,39,10,50,10,41,10,41,10,62,10,94,10,119,10,135,10,149,10,168,10,196,10,216,10,
211,10,190,10,170,10,160,10,172,10,196,10,189,10,156,10,143,10,147,10,134,10,112,10,103,10,91,10,66,10,36,10,
2,10,217,9,185,9,165,9,136,9,93,9,48,9,4,9,210,8,153,8,94,8,36,8,247,7,210,7,166,7,107,7,
46,7,244,6,186,6,130,6,75,6,15,6,205,5,142,5,79,5,8,5,192,4,123,4,57,4,248,3,179,3,111,3,
54,3,250,2,167,2,76,2,7,2,219,1,171,1,96,1,255,0,171,0,124,0,81,0,9,0,183,255,110,255,52,255,
15,255,241,254,172,254,68,254,247,253,209,253,169,253,108,253,39,253,232,252,180,252,138,252,104,252,68,252,12,252,196,251,
141,251,107,251,69,251,30,251,0,251,217,250,174,250,156,250,138,250,89,250,37,250,11,250,248,249,225,249,209,249,190,249,
159,249,137,249,130,249,117,249,84,249,48,249,31,249,40,249,46,249,24,249,247,248,234,248,241,248,0,249,11,249,3,249,
235,248,223,248,240,248,11,249,30,249,39,249,45,249,59,249,87,249,115,249,130,249,132,249,136,249,155,249,194,249,244,249,
29,250,61,250,100,250,147,250,193,250,246,250,44,251,79,251,111,251,180,251,10,252,71,252,119,252,184,252,1,253,72,253,
146,253,213,253,14,254,82,254,163,254,237,254,48,255,126,255,212,255,32,0,94,0,159,0,239,0,62,1,134,1,221,1,
56,2,125,2,188,2,12,3,81,3,135,3,209,3,34,4,89,4,144,4,224,4,39,5,86,5,140,5,203,5,249,5,
22,6,52,6,90,6,139,6,186,6,223,6,10,7,64,7,109,7,135,7,157,7,179,7,195,7,210,7,230,7,255,7,
21,8,38,8,55,8,74,8,86,8,87,8,84,8,88,8,95,8,96,8,92,8,94,8,105,8,109,8,101,8,90,8,
80,8,71,8,65,8,55,8,38,8,20,8,9,8,1,8,244,7,221,7,194,7,178,7,171,7,151,7,114,7,84,7,
64,7,35,7,253,6,221,6,198,6,169,6,123,6,70,6,28,6,255,5,224,5,193,5,159,5,114,5,68,5,34,5,
255,4,202,4,139,4,78,4,33,4,7,4,227,3,158,3,89,3,55,3,32,3,239,2,162,2,80,2,12,2,221,1,
179,1,115,1,38,1,229,0,186,0,147,0,93,0,23,0,208,255,139,255,78,255,30,255,239,254,176,254,106,254,43,254,
241,253,191,253,141,253,67,253,231,252,161,252,121,252,84,252,26,252,203,251,126,251,82,251,69,251,45,251,236,250,150,250,
84,250,48,250,21,250,242,249,197,249,141,249,87,249,62,249,59,249,28,249,210,248,144,248,115,248,104,248,85,248,55,248,
13,248,231,247,212,247,206,247,195,247,174,247,140,247,98,247,71,247,71,247,80,247,67,247,36,247,26,247,48,247,66,247,
55,247,34,247,21,247,15,247,21,247,36,247,46,247,52,247,62,247,72,247,81,247,103,247,136,247,160,247,169,247,183,247,
214,247,0,248,35,248,60,248,84,248,111,248,146,248,199,248,2,249,57,249,105,249,154,249,207,249,13,250,74,250,117,250,
156,250,210,250,14,251,74,251,139,251,211,251,29,252,105,252,174,252,234,252,46,253,118,253,169,253,211,253,21,254,108,254,
197,254,19,255,86,255,153,255,230,255,51,0,120,0,186,0,251,0,54,1,119,1,194,1,11,2,83,2,161,2,234,2,
41,3,102,3,164,3,223,3,26,4,82,4,136,4,196,4,9,5,83,5,154,5,209,5,251,5,47,6,116,6,182,6,
241,6,49,7,109,7,158,7,209,7,6,8,49,8,93,8,150,8,205,8,254,8,56,9,119,9,167,9,203,9,245,9,
27,10,51,10,73,10,101,10,132,10,168,10,215,10,2,11,38,11,87,11,135,11,156,11,157,11,155,11,148,11,145,11,
154,11,160,11,160,11,176,11,195,11,191,11,175,11,162,11,140,11,103,11,69,11,42,11,11,11,227,10,187,10,160,10,
135,10,96,10,55,10,23,10,237,9,180,9,122,9,57,9,238,8,182,8,143,8,83,8,8,8,198,7,126,7,44,7,
231,6,170,6,91,6,6,6,193,5,136,5,88,5,38,5,225,4,137,4,49,4,226,3,163,3,109,3,38,3,201,2,
118,2,59,2,8,2,209,1,139,1,46,1,210,0,146,0,89,0,7,0,170,255,96,255,33,255,224,254,163,254,105,254,
34,254,207,253,128,253,53,253,229,252,154,252,86,252,9,252,174,251,87,251,18,251,208,250,127,250,38,250,213,249,137,249,
54,249,231,248,161,248,75,248,230,247,144,247,79,247,5,247,175,246,89,246,15,246,213,245,156,245,76,245,243,244,172,244,
107,244,21,244,184,243,102,243,37,243,238,242,180,242,110,242,47,242,251,241,185,241,107,241,34,241,216,240,140,240,73,240,
11,240,204,239,161,239,135,239,94,239,34,239,224,238,160,238,105,238,54,238,247,237,185,237,150,237,142,237,144,237,149,237,
143,237,125,237,118,237,114,237,78,237,20,237,248,236,1,237,13,237,21,237,39,237,72,237,112,237,161,237,218,237,9,238,
40,238,75,238,132,238,201,238,14,239,85,239,158,239,237,239,75,240,185,240,39,241,137,241,226,241,61,242,167,242,30,243,
149,243,1,244,96,244,198,244,76,245,229,245,111,246,222,246,79,247,217,247,117,248,8,249,133,249,250,249,126,250,9,251,
149,251,31,252,159,252,23,253,150,253,31,254,163,254,36,255,165,255,23,0,131,0,244,0,98,1,202,1,64,2,187,2,
40,3,152,3,24,4,141,4,228,4,45,5,128,5,230,5,80,6,164,6,238,6,76,7,182,7,15,8,85,8,149,8,
216,8,33,9,105,9,163,9,205,9,249,9,55,10,124,10,182,10,239,10,55,11,126,11,176,11,215,11,254,11,34,12,
80,12,149,12,209,12,244,12,30,13,89,13,130,13,151,13,182,13,221,13,250,13,13,14,29,14,45,14,70,14,110,14,
151,14,172,14,184,14,212,14,252,14,23,15,29,15,26,15,23,15,36,15,65,15,81,15,66,15,57,15,70,15,77,15,
69,15,63,15,54,15,23,15,239,14,213,14,196,14,171,14,132,14,88,14,57,14,36,14,17,14,244,13,197,13,135,13,
78,13,39,13,255,12,196,12,121,12,49,12,250,11,210,11,165,11,100,11,19,11,198,10,131,10,57,10,216,9,112,9,
26,9,213,8,146,8,78,8,0,8,169,7,83,7,254,6,164,6,76,6,244,5,150,5,66,5,10,5,215,4,146,4,
61,4,226,3,142,3,76,3,11,3,178,2,79,2,250,1,182,1,130,1,83,1,15,1,185,0,108,0,53,0,4,0,
199,255,122,255,52,255,10,255,235,254,190,254,137,254,84,254,30,254,237,253,187,253,120,253,56,253,15,253,224,252,157,252,
104,252,73,252,26,252,208,251,134,251,71,251,14,251,212,250,148,250,80,250,14,250,209,249,153,249,97,249,27,249,204,248,
132,248,64,248,242,247,156,247,77,247,8,247,197,246,127,246,48,246,214,245,121,245,39,245,228,244,164,244,88,244,4,244,
186,243,132,243,72,243,243,242,163,242,115,242,76,242,29,242,255,241,248,241,232,241,204,241,184,241,165,241,151,241,154,241,
156,241,137,241,129,241,156,241,200,241,241,241,23,242,53,242,86,242,141,242,210,242,9,243,45,243,91,243,178,243,36,244,
139,244,232,244,83,245,191,245,33,246,137,246,241,246,68,247,159,247,25,248,145,248,250,248,111,249,237,249,90,250,190,250,
29,251,113,251,203,251,54,252,159,252,253,252,95,253,196,253,41,254,150,254,6,255,106,255,193,255,4,0,51,0,108,0,
198,0,38,1,103,1,145,1,201,1,22,2,98,2,149,2,174,2,186,2,201,2,236,2,41,3,103,3,129,3,126,3,
145,3,210,3,23,4,51,4,56,4,73,4,107,4,147,4,179,4,200,4,217,4,235,4,250,4,12,5,47,5,83,5,
90,5,79,5,89,5,135,5,188,5,214,5,218,5,233,5,8,6,38,6,75,6,122,6,157,6,191,6,245,6,39,7,
61,7,85,7,131,7,181,7,228,7,16,8,48,8,78,8,114,8,137,8,144,8,163,8,193,8,214,8,239,8,20,9,
49,9,71,9,100,9,126,9,148,9,177,9,209,9,224,9,218,9,201,9,189,9,201,9,231,9,250,9,241,9,218,9,
205,9,199,9,177,9,133,9,89,9,52,9,16,9,246,8,233,8,203,8,148,8,100,8,71,8,36,8,246,7,206,7,
168,7,116,7,64,7,30,7,5,7,219,6,161,6,98,6,34,6,233,5,186,5,139,5,82,5,32,5,0,5,229,4,
188,4,130,4,61,4,0,4,209,3,167,3,130,3,110,3,101,3,86,3,60,3,29,3,0,3,234,2,210,2,183,2,
154,2,113,2,66,2,46,2,54,2,47,2,15,2,245,1,230,1,206,1,174,1,140,1,102,1,70,1,54,1,51,1,
51,1,35,1,247,0,198,0,172,0,161,0,144,0,114,0,78,0,47,0,23,0,247,255,201,255,149,255,100,255,53,255,
11,255,231,254,194,254,149,254,92,254,32,254,244,253,221,253,191,253,140,253,75,253,12,253,227,252,209,252,182,252,131,252,
83,252,51,252,17,252,234,251,195,251,145,251,81,251,24,251,241,250,206,250,159,250,108,250,71,250,40,250,250,249,194,249,
148,249,103,249,41,249,227,248,164,248,115,248,79,248,46,248,7,248,224,247,189,247,150,247,98,247,29,247,205,246,123,246,
39,246,195,245,87,245,2,245,199,244,147,244,98,244,44,244,227,243,140,243,52,243,204,242,71,242,194,241,107,241,72,241,
64,241,52,241,25,241,243,240,203,240,164,240,111,240,28,240,187,239,98,239,31,239,250,238,243,238,252,238,13,239,33,239,
49,239,58,239,69,239,64,239,40,239,35,239,71,239,125,239,191,239,28,240,126,240,204,240,21,241,102,241,173,241,232,241,
55,242,161,242,17,243,110,243,190,243,28,244,148,244,25,245,147,245,242,245,68,246,188,246,100,247,2,248,122,248,236,248,
103,249,233,249,130,250,31,251,146,251,226,251,70,252,210,252,126,253,52,254,202,254,49,255,142,255,6,0,144,0,10,1,
90,1,148,1,244,1,148,2,61,3,184,3,11,4,81,4,166,4,31,5,179,5,45,6,115,6,173,6,13,7,139,7,
251,7,69,8,126,8,197,8,36,9,131,9,195,9,228,9,6,10,73,10,169,10,5,11,65,11,94,11,115,11,146,11,
196,11,2,12,54,12,96,12,160,12,254,12,85,13,132,13,137,13,120,13,122,13,167,13,229,13,13,14,19,14,6,14,
10,14,58,14,119,14,138,14,114,14,93,14,100,14,127,14,127,14,72,14,7,14,253,13,38,14,85,14,109,14,92,14,
42,14,9,14,9,14,4,14,231,13,186,13,121,13,55,13,20,13,248,12,183,12,100,12,37,12,254,11,228,11,192,11,
118,11,8,11,157,10,81,10,32,10,234,9,148,9,41,9,208,8,141,8,75,8,254,7,161,7,60,7,239,6,186,6,
103,6,222,5,73,5,215,4,134,4,60,4,221,3,93,3,210,2,106,2,41,2,222,1,109,1,240,0,141,0,74,0,
14,0,187,255,72,255,209,254,121,254,70,254,28,254,222,253,128,253,24,253,202,252,156,252,117,252,52,252,212,251,117,251,
59,251,32,251,254,250,190,250,104,250,39,250,32,250,53,250,38,250,239,249,187,249,157,249,150,249,161,249,158,249,121,249,
92,249,92,249,95,249,93,249,99,249,91,249,69,249,71,249,90,249,85,249,54,249,33,249,37,249,57,249,82,249,101,249,
115,249,135,249,163,249,197,249,230,249,245,249,251,249,19,250,62,250,100,250,121,250,131,250,151,250,199,250,3,251,43,251,
59,251,68,251,86,251,124,251,169,251,195,251,208,251,235,251,22,252,67,252,118,252,170,252,209,252,251,252,58,253,129,253,
182,253,216,253,245,253,25,254,66,254,111,254,156,254,201,254,243,254,28,255,69,255,110,255,154,255,194,255,223,255,251,255,
36,0,83,0,119,0,148,0,187,0,246,0,58,1,109,1,145,1,188,1,242,1,33,2,71,2,106,2,140,2,176,2,
218,2,0,3,30,3,57,3,84,3,111,3,146,3,186,3,222,3,249,3,17,4,45,4,75,4,98,4,119,4,150,4,
181,4,198,4,211,4,243,4,27,5,55,5,74,5,97,5,127,5,145,5,133,5,104,5,90,5,89,5,81,5,69,5,
63,5,56,5,46,5,36,5,27,5,21,5,9,5,243,4,220,4,209,4,191,4,154,4,118,4,93,4,76,4,58,4,
29,4,245,3,213,3,188,3,153,3,110,3,73,3,31,3,232,2,180,2,134,2,81,2,27,2,240,1,219,1,209,1,
190,1,154,1,120,1,91,1,58,1,25,1,255,0,219,0,176,0,151,0,141,0,121,0,93,0,68,0,43,0,15,0,
245,255,214,255,166,255,109,255,71,255,55,255,41,255,18,255,2,255,254,254,250,254,239,254,225,254,206,254,184,254,165,254,
145,254,121,254,106,254,108,254,106,254,84,254,58,254,49,254,42,254,22,254,0,254,239,253,206,253,159,253,129,253,122,253,
116,253,105,253,95,253,81,253,74,253,78,253,81,253,75,253,62,253,34,253,6,253,1,253,8,253,1,253,236,252,215,252,
202,252,209,252,225,252,219,252,186,252,154,252,140,252,138,252,134,252,116,252,95,252,90,252,99,252,112,252,122,252,116,252,
93,252,86,252,103,252,109,252,101,252,104,252,108,252,97,252,85,252,79,252,70,252,64,252,62,252,55,252,49,252,57,252,
62,252,52,252,41,252,40,252,39,252,34,252,26,252,15,252,8,252,23,252,53,252,67,252,59,252,53,252,64,252,78,252,
80,252,69,252,53,252,47,252,60,252,78,252,87,252,92,252,101,252,112,252,120,252,129,252,138,252,147,252,153,252,161,252,
177,252,201,252,232,252,20,253,66,253,99,253,123,253,152,253,187,253,225,253,7,254,29,254,43,254,73,254,118,254,157,254,
190,254,224,254,255,254,36,255,79,255,111,255,140,255,190,255,244,255,27,0,73,0,133,0,183,0,224,0,10,1,46,1,
85,1,146,1,209,1,249,1,25,2,61,2,93,2,130,2,176,2,212,2,227,2,237,2,253,2,25,3,61,3,95,3,
117,3,136,3,169,3,213,3,253,3,25,4,41,4,48,4,52,4,68,4,100,4,122,4,116,4,107,4,117,4,133,4,
138,4,141,4,142,4,130,4,109,4,96,4,88,4,71,4,47,4,31,4,23,4,16,4,7,4,244,3,220,3,206,3,
202,3,186,3,157,3,136,3,119,3,98,3,71,3,28,3,228,2,186,2,164,2,140,2,105,2,68,2,34,2,5,2,
228,1,184,1,142,1,105,1,57,1,12,1,250,0,230,0,183,0,148,0,143,0,138,0,119,0,90,0,43,0,247,255,
225,255,215,255,181,255,134,255,95,255,68,255,55,255,53,255,37,255,5,255,229,254,203,254,179,254,164,254,145,254,109,254,
83,254,90,254,108,254,103,254,78,254,56,254,43,254,33,254,28,254,26,254,9,254,235,253,217,253,218,253,216,253,204,253,
190,253,169,253,147,253,144,253,157,253,147,253,117,253,103,253,114,253,129,253,144,253,158,253,151,253,126,253,119,253,132,253,
140,253,141,253,144,253,144,253,143,253,145,253,139,253,121,253,117,253,130,253,136,253,136,253,149,253,165,253,163,253,149,253,
148,253,175,253,211,253,232,253,249,253,18,254,36,254,49,254,82,254,118,254,128,254,142,254,189,254,236,254,7,255,34,255,
65,255,93,255,129,255,168,255,190,255,216,255,11,0,66,0,109,0,161,0,230,0,50,1,124,1,186,1,223,1,246,1,
28,2,91,2,162,2,227,2,39,3,117,3,188,3,255,3,69,4,118,4,130,4,140,4,183,4,236,4,23,5,71,5,
122,5,165,5,222,5,39,6,91,6,106,6,108,6,113,6,129,6,166,6,208,6,226,6,233,6,2,7,39,7,63,7,
67,7,49,7,15,7,245,6,248,6,2,7,244,6,218,6,204,6,197,6,179,6,151,6,119,6,88,6,63,6,45,6,
37,6,30,6,12,6,239,5,208,5,180,5,144,5,96,5,42,5,4,5,242,4,222,4,182,4,139,4,104,4,62,4,
9,4,214,3,160,3,100,3,50,3,13,3,230,2,188,2,143,2,93,2,44,2,2,2,208,1,138,1,63,1,249,0,
181,0,115,0,54,0,253,255,194,255,121,255,32,255,192,254,89,254,233,253,131,253,38,253,196,252,95,252,253,251,144,251,
27,251,184,250,105,250,22,250,181,249,69,249,204,248,82,248,212,247,72,247,194,246,94,246,21,246,212,245,139,245,47,245,
199,244,104,244,6,244,139,243,7,243,152,242,63,242,241,241,175,241,124,241,83,241,45,241,9,241,237,240,214,240,173,240,
101,240,22,240,228,239,218,239,228,239,239,239,248,239,0,240,7,240,22,240,43,240,47,240,25,240,8,240,31,240,84,240,
136,240,175,240,204,240,236,240,45,241,144,241,234,241,31,242,79,242,150,242,230,242,49,243,122,243,181,243,225,243,36,244,
143,244,248,244,74,245,159,245,1,246,95,246,191,246,47,247,155,247,230,247,32,248,117,248,241,248,113,249,222,249,71,250,
190,250,62,251,190,251,47,252,130,252,207,252,60,253,191,253,54,254,163,254,19,255,133,255,251,255,114,0,211,0,38,1,
133,1,237,1,79,2,179,2,26,3,122,3,222,3,82,4,195,4,31,5,108,5,189,5,21,6,112,6,202,6,35,7,
122,7,201,7,16,8,92,8,169,8,234,8,32,9,88,9,150,9,219,9,30,10,83,10,126,10,175,10,230,10,24,11,
61,11,90,11,127,11,183,11,239,11,16,12,40,12,77,12,118,12,150,12,174,12,189,12,188,12,185,12,206,12,248,12,
21,13,11,13,235,12,218,12,223,12,222,12,200,12,173,12,156,12,145,12,132,12,117,12,95,12,60,12,18,12,237,11,
209,11,178,11,129,11,57,11,247,10,211,10,186,10,142,10,75,10,0,10,186,9,122,9,52,9,218,8,120,8,35,8,
219,7,150,7,85,7,18,7,197,6,120,6,48,6,226,5,143,5,58,5,226,4,132,4,47,4,233,3,160,3,79,3,
4,3,196,2,125,2,39,2,211,1,132,1,48,1,219,0,143,0,71,0,2,0,201,255,148,255,82,255,9,255,197,254,
135,254,80,254,28,254,216,253,143,253,95,253,65,253,22,253,221,252,162,252,101,252,50,252,15,252,233,251,175,251,117,251,
74,251,43,251,18,251,247,250,202,250,144,250,107,250,100,250,88,250,50,250,11,250,246,249,230,249,210,249,198,249,191,249,
176,249,161,249,151,249,139,249,131,249,136,249,129,249,101,249,90,249,108,249,122,249,117,249,115,249,124,249,135,249,151,249,
173,249,194,249,211,249,229,249,245,249,10,250,45,250,82,250,105,250,123,250,159,250,207,250,244,250,7,251,29,251,66,251,
108,251,145,251,182,251,214,251,236,251,17,252,81,252,142,252,179,252,220,252,21,253,68,253,106,253,156,253,196,253,216,253,
0,254,73,254,137,254,180,254,228,254,25,255,75,255,136,255,204,255,250,255,19,0,52,0,98,0,151,0,207,0,3,1,
47,1,95,1,161,1,233,1,27,2,63,2,113,2,168,2,206,2,240,2,32,3,77,3,115,3,173,3,239,3,25,4,
56,4,100,4,145,4,181,4,213,4,232,4,242,4,18,5,67,5,97,5,116,5,143,5,169,5,194,5,228,5,253,5,
3,6,13,6,33,6,42,6,41,6,44,6,46,6,53,6,69,6,80,6,79,6,75,6,68,6,48,6,25,6,13,6,
6,6,248,5,222,5,191,5,172,5,173,5,175,5,164,5,135,5,97,5,67,5,52,5,31,5,245,4,205,4,184,4,
163,4,133,4,110,4,91,4,57,4,8,4,215,3,176,3,146,3,116,3,79,3,46,3,24,3,252,2,212,2,173,2,
140,2,104,2,66,2,33,2,5,2,238,1,213,1,178,1,141,1,110,1,76,1,34,1,252,0,215,0,173,0,140,0,
114,0,78,0,41,0,19,0,252,255,219,255,187,255,154,255,121,255,97,255,72,255,33,255,254,254,235,254,213,254,180,254,
149,254,120,254,91,254,68,254,47,254,20,254,249,253,224,253,194,253,166,253,146,253,123,253,89,253,50,253,15,253,251,252,
247,252,236,252,203,252,176,252,166,252,153,252,129,252,110,252,92,252,64,252,32,252,11,252,4,252,254,251,239,251,219,251,
204,251,188,251,165,251,145,251,133,251,116,251,95,251,86,251,80,251,67,251,57,251,57,251,48,251,22,251,1,251,2,251,
13,251,18,251,14,251,3,251,251,250,252,250,5,251,10,251,2,251,244,250,244,250,1,251,13,251,20,251,23,251,27,251,
46,251,79,251,97,251,89,251,88,251,114,251,150,251,183,251,218,251,246,251,11,252,40,252,73,252,100,252,128,252,161,252,
189,252,222,252,12,253,52,253,80,253,123,253,181,253,227,253,2,254,39,254,81,254,117,254,157,254,207,254,4,255,51,255,
99,255,155,255,213,255,4,0,44,0,90,0,143,0,187,0,225,0,16,1,69,1,108,1,135,1,170,1,218,1,6,2,
38,2,66,2,95,2,123,2,163,2,213,2,254,2,24,3,53,3,89,3,118,3,142,3,164,3,179,3,195,3,225,3,
3,4,28,4,48,4,65,4,67,4,72,4,95,4,115,4,115,4,113,4,120,4,122,4,124,4,141,4,153,4,144,4,
134,4,141,4,144,4,131,4,126,4,138,4,143,4,128,4,107,4,92,4,78,4,61,4,41,4,16,4,244,3,228,3,
228,3,222,3,190,3,146,3,119,3,107,3,91,3,62,3,21,3,229,2,195,2,189,2,186,2,157,2,114,2,88,2,
78,2,62,2,28,2,233,1,178,1,142,1,129,1,115,1,82,1,43,1,14,1,255,0,239,0,202,0,141,0,91,0,
73,0,59,0,24,0,239,255,209,255,185,255,167,255,156,255,131,255,80,255,33,255,11,255,247,254,213,254,179,254,143,254,
102,254,78,254,83,254,72,254,13,254,200,253,171,253,175,253,168,253,132,253,81,253,42,253,34,253,36,253,19,253,244,252,
219,252,200,252,186,252,184,252,185,252,167,252,140,252,125,252,119,252,123,252,139,252,152,252,150,252,155,252,182,252,206,252,
209,252,206,252,213,252,232,252,255,252,26,253,57,253,93,253,134,253,181,253,229,253,9,254,36,254,60,254,86,254,117,254,
162,254,214,254,5,255,51,255,107,255,160,255,210,255,8,0,49,0,60,0,75,0,124,0,180,0,214,0,246,0,43,1,
103,1,147,1,171,1,186,1,206,1,238,1,20,2,54,2,80,2,97,2,113,2,141,2,181,2,218,2,232,2,217,2,
208,2,232,2,10,3,11,3,249,2,250,2,20,3,50,3,65,3,56,3,32,3,17,3,19,3,28,3,36,3,42,3,
42,3,41,3,42,3,40,3,31,3,17,3,253,2,233,2,228,2,236,2,235,2,218,2,195,2,177,2,175,2,178,2,
156,2,112,2,77,2,58,2,40,2,18,2,243,1,200,1,170,1,157,1,128,1,73,1,25,1,250,0,207,0,147,0,
85,0,25,0,220,255,153,255,73,255,249,254,186,254,132,254,71,254,10,254,205,253,126,253,27,253,177,252,79,252,247,251,
156,251,42,251,175,250,84,250,29,250,224,249,133,249,21,249,163,248,52,248,195,247,77,247,211,246,89,246,236,245,158,245,
111,245,66,245,254,244,163,244,61,244,222,243,136,243,38,243,183,242,96,242,42,242,253,241,220,241,207,241,181,241,134,241,
103,241,89,241,47,241,244,240,206,240,184,240,164,240,170,240,210,240,6,241,58,241,95,241,101,241,100,241,125,241,171,241,
220,241,11,242,56,242,108,242,184,242,15,243,93,243,163,243,233,243,49,244,141,244,4,245,118,245,195,245,2,246,90,246,
214,246,92,247,201,247,18,248,87,248,192,248,70,249,201,249,52,250,154,250,19,251,152,251,6,252,86,252,161,252,0,253,
116,253,245,253,115,254,231,254,83,255,183,255,13,0,99,0,189,0,22,1,124,1,252,1,115,2,206,2,45,3,155,3,
254,3,93,4,200,4,34,5,89,5,149,5,236,5,77,6,179,6,31,7,126,7,214,7,54,8,142,8,197,8,239,8,
38,9,111,9,203,9,47,10,134,10,208,10,25,11,94,11,154,11,214,11,15,12,61,12,105,12,158,12,217,12,21,13,
82,13,144,13,205,13,255,13,38,14,71,14,98,14,112,14,124,14,147,14,181,14,221,14,6,15,31,15,32,15,34,15,
52,15,65,15,61,15,49,15,39,15,30,15,19,15,252,14,214,14,183,14,170,14,161,14,137,14,94,14,40,14,250,13,
220,13,183,13,123,13,51,13,235,12,167,12,106,12,40,12,210,11,122,11,59,11,11,11,213,10,143,10,43,10,167,9,
47,9,224,8,153,8,53,8,189,7,70,7,223,6,143,6,70,6,229,5,106,5,246,4,149,4,57,4,206,3,83,3,
212,2,97,2,4,2,187,1,110,1,10,1,154,0,49,0,204,255,110,255,30,255,205,254,102,254,254,253,180,253,117,253,
32,253,185,252,87,252,5,252,198,251,138,251,55,251,211,250,129,250,80,250,45,250,5,250,203,249,125,249,45,249,239,248,
190,248,134,248,76,248,36,248,13,248,244,247,207,247,161,247,108,247,56,247,22,247,3,247,229,246,182,246,142,246,118,246,
105,246,100,246,94,246,67,246,33,246,21,246,32,246,32,246,11,246,243,245,234,245,248,245,23,246,54,246,66,246,62,246,
67,246,99,246,143,246,168,246,177,246,199,246,235,246,11,247,43,247,87,247,134,247,178,247,235,247,46,248,101,248,147,248,
206,248,14,249,68,249,121,249,189,249,13,250,95,250,172,250,242,250,59,251,150,251,245,251,68,252,136,252,212,252,42,253,
128,253,215,253,44,254,123,254,207,254,46,255,137,255,218,255,44,0,127,0,204,0,31,1,122,1,204,1,22,2,107,2,
191,2,1,3,66,3,148,3,229,3,41,4,108,4,179,4,241,4,40,5,100,5,164,5,222,5,10,6,44,6,90,6,
156,6,216,6,244,6,4,7,38,7,89,7,137,7,175,7,198,7,200,7,205,7,234,7,11,8,23,8,24,8,33,8,
46,8,53,8,59,8,58,8,51,8,49,8,53,8,52,8,45,8,38,8,22,8,254,7,245,7,246,7,229,7,202,7,
181,7,161,7,140,7,127,7,113,7,88,7,63,7,44,7,17,7,239,6,207,6,174,6,138,6,106,6,72,6,33,6,
2,6,230,5,192,5,150,5,116,5,81,5,45,5,15,5,234,4,177,4,120,4,80,4,47,4,6,4,219,3,177,3,
133,3,90,3,48,3,250,2,182,2,122,2,84,2,47,2,250,1,191,1,140,1,91,1,41,1,247,0,190,0,125,0,
66,0,16,0,219,255,167,255,119,255,68,255,14,255,222,254,169,254,104,254,49,254,5,254,207,253,152,253,114,253,77,253,
27,253,231,252,176,252,116,252,72,252,37,252,234,251,166,251,129,251,111,251,79,251,38,251,0,251,213,250,171,250,141,250,
109,250,69,250,34,250,7,250,235,249,213,249,202,249,185,249,154,249,123,249,103,249,86,249,64,249,45,249,36,249,27,249,
16,249,10,249,5,249,245,248,233,248,243,248,254,248,251,248,254,248,12,249,20,249,24,249,33,249,41,249,48,249,71,249,
96,249,106,249,113,249,132,249,157,249,184,249,213,249,234,249,249,249,20,250,55,250,84,250,104,250,127,250,157,250,187,250,
220,250,6,251,46,251,62,251,69,251,112,251,183,251,226,251,241,251,19,252,69,252,106,252,142,252,191,252,230,252,253,252,
30,253,75,253,115,253,154,253,198,253,242,253,36,254,92,254,144,254,183,254,214,254,249,254,37,255,83,255,123,255,166,255,
220,255,17,0,60,0,106,0,153,0,196,0,245,0,45,1,93,1,135,1,183,1,226,1,6,2,50,2,99,2,142,2,
187,2,234,2,10,3,41,3,97,3,156,3,193,3,221,3,247,3,11,4,36,4,73,4,99,4,110,4,140,4,198,4,
246,4,4,5,8,5,32,5,70,5,96,5,104,5,102,5,98,5,104,5,130,5,164,5,179,5,178,5,178,5,186,5,
205,5,220,5,206,5,174,5,162,5,169,5,173,5,176,5,175,5,161,5,149,5,158,5,162,5,140,5,118,5,108,5,
93,5,79,5,72,5,50,5,13,5,251,4,247,4,229,4,199,4,172,4,146,4,123,4,103,4,70,4,27,4,247,3,
213,3,173,3,142,3,121,3,88,3,48,3,22,3,0,3,214,2,162,2,129,2,112,2,78,2,16,2,210,1,171,1,
145,1,111,1,69,1,24,1,236,0,194,0,154,0,107,0,51,0,254,255,217,255,195,255,169,255,125,255,74,255,28,255,
243,254,206,254,177,254,140,254,92,254,55,254,38,254,9,254,212,253,156,253,112,253,77,253,54,253,26,253,229,252,176,252,
155,252,143,252,107,252,60,252,25,252,254,251,234,251,221,251,204,251,176,251,150,251,139,251,136,251,122,251,85,251,43,251,
28,251,35,251,36,251,26,251,28,251,43,251,58,251,71,251,77,251,64,251,42,251,43,251,74,251,115,251,148,251,179,251,
219,251,11,252,64,252,112,252,149,252,186,252,229,252,22,253,83,253,157,253,223,253,12,254,66,254,145,254,220,254,16,255,
72,255,144,255,218,255,44,0,141,0,218,0,10,1,65,1,136,1,194,1,246,1,57,2,123,2,185,2,16,3,122,3,
208,3,15,4,77,4,125,4,150,4,172,4,197,4,212,4,236,4,34,5,99,5,155,5,208,5,2,6,25,6,23,6,
21,6,34,6,47,6,47,6,47,6,66,6,101,6,129,6,138,6,133,6,126,6,121,6,126,6,131,6,118,6,86,6,
61,6,60,6,67,6,66,6,56,6,40,6,20,6,254,5,231,5,206,5,189,5,188,5,189,5,177,5,153,5,131,5,
109,5,74,5,37,5,16,5,4,5,237,4,199,4,154,4,107,4,63,4,19,4,218,3,150,3,88,3,34,3,224,2,
150,2,85,2,24,2,210,1,137,1,63,1,230,0,126,0,23,0,181,255,78,255,220,254,108,254,14,254,192,253,102,253,
234,252,89,252,205,251,76,251,202,250,58,250,149,249,232,248,76,248,212,247,114,247,254,246,104,246,200,245,59,245,175,244,
9,244,80,243,161,242,27,242,199,241,132,241,42,241,188,240,89,240,252,239,145,239,32,239,170,238,36,238,169,237,91,237,
44,237,2,237,221,236,186,236,147,236,128,236,130,236,99,236,12,236,192,235,193,235,254,235,55,236,86,236,115,236,162,236,
216,236,12,237,64,237,113,237,161,237,226,237,69,238,180,238,17,239,88,239,152,239,236,239,96,240,219,240,68,241,180,241,
62,242,204,242,83,243,226,243,115,244,234,244,78,245,184,245,37,246,150,246,31,247,182,247,65,248,205,248,116,249,33,250,
171,250,11,251,78,251,138,251,236,251,136,252,45,253,166,253,18,254,152,254,35,255,160,255,29,0,140,0,210,0,28,1,
154,1,39,2,155,2,8,3,117,3,214,3,63,4,184,4,17,5,64,5,120,5,205,5,41,6,148,6,8,7,102,7,
181,7,20,8,109,8,159,8,202,8,15,9,94,9,172,9,12,10,120,10,210,10,21,11,86,11,147,11,196,11,247,11,
53,12,108,12,152,12,210,12,26,13,83,13,136,13,206,13,8,14,26,14,40,14,79,14,118,14,148,14,189,14,229,14,
249,14,16,15,55,15,83,15,92,15,101,15,117,15,130,15,136,15,132,15,123,15,117,15,102,15,70,15,36,15,11,15,
244,14,215,14,178,14,132,14,96,14,76,14,39,14,224,13,153,13,95,13,23,13,196,12,123,12,54,12,235,11,167,11,
105,11,28,11,198,10,116,10,31,10,190,9,88,9,239,8,129,8,19,8,174,7,84,7,248,6,147,6,41,6,204,5,
123,5,42,5,206,4,104,4,3,4,169,3,93,3,17,3,186,2,95,2,8,2,193,1,136,1,75,1,2,1,179,0,
99,0,30,0,241,255,199,255,126,255,34,255,224,254,185,254,152,254,122,254,84,254,25,254,228,253,208,253,193,253,159,253,
118,253,74,253,14,253,219,252,210,252,215,252,188,252,132,252,86,252,71,252,77,252,67,252,14,252,197,251,151,251,151,251,
165,251,149,251,101,251,54,251,32,251,27,251,17,251,254,250,229,250,203,250,184,250,180,250,175,250,147,250,103,250,69,250,
59,250,64,250,72,250,65,250,30,250,249,249,243,249,2,250,10,250,6,250,251,249,232,249,225,249,243,249,3,250,1,250,
11,250,42,250,63,250,72,250,93,250,115,250,127,250,148,250,176,250,188,250,194,250,222,250,252,250,15,251,47,251,101,251,
149,251,181,251,210,251,236,251,1,252,29,252,69,252,100,252,126,252,175,252,245,252,44,253,74,253,101,253,138,253,174,253,
210,253,250,253,30,254,61,254,104,254,153,254,190,254,225,254,16,255,61,255,96,255,130,255,156,255,173,255,200,255,239,255,
19,0,54,0,96,0,122,0,137,0,180,0,237,0,3,1,1,1,15,1,41,1,66,1,102,1,140,1,152,1,150,1,
168,1,198,1,218,1,227,1,234,1,242,1,7,2,39,2,56,2,54,2,59,2,71,2,73,2,74,2,86,2,101,2,
107,2,113,2,127,2,150,2,170,2,172,2,163,2,161,2,165,2,170,2,182,2,196,2,191,2,183,2,202,2,235,2,
246,2,241,2,238,2,232,2,231,2,0,3,31,3,44,3,49,3,58,3,62,3,69,3,84,3,83,3,68,3,74,3,
96,3,101,3,99,3,117,3,129,3,113,3,90,3,82,3,81,3,86,3,87,3,67,3,41,3,38,3,49,3,46,3,
39,3,37,3,8,3,205,2,162,2,152,2,140,2,119,2,107,2,92,2,60,2,41,2,39,2,5,2,196,1,157,1,
152,1,135,1,99,1,62,1,14,1,222,0,205,0,203,0,177,0,138,0,102,0,63,0,27,0,9,0,245,255,205,255,
166,255,137,255,111,255,91,255,78,255,55,255,20,255,243,254,218,254,204,254,198,254,175,254,128,254,82,254,56,254,38,254,
25,254,11,254,238,253,200,253,184,253,185,253,177,253,161,253,147,253,125,253,92,253,62,253,44,253,38,253,35,253,27,253,
11,253,253,252,242,252,236,252,237,252,235,252,221,252,209,252,208,252,205,252,193,252,184,252,177,252,165,252,163,252,187,252,
215,252,215,252,196,252,190,252,204,252,223,252,233,252,227,252,209,252,205,252,232,252,12,253,25,253,28,253,40,253,49,253,
50,253,56,253,69,253,79,253,89,253,101,253,116,253,147,253,190,253,208,253,197,253,196,253,215,253,235,253,255,253,28,254,
47,254,58,254,86,254,123,254,147,254,168,254,199,254,224,254,226,254,226,254,250,254,32,255,59,255,82,255,116,255,152,255,
182,255,218,255,253,255,9,0,11,0,34,0,70,0,100,0,128,0,156,0,176,0,198,0,223,0,246,0,25,1,69,1,
77,1,59,1,84,1,143,1,167,1,163,1,177,1,194,1,206,1,239,1,15,2,0,2,229,1,245,1,31,2,66,2,
89,2,83,2,48,2,27,2,51,2,90,2,97,2,66,2,41,2,53,2,80,2,89,2,78,2,55,2,33,2,42,2,
77,2,76,2,31,2,2,2,2,2,249,1,237,1,230,1,201,1,168,1,178,1,203,1,185,1,145,1,122,1,105,1,
86,1,82,1,72,1,39,1,11,1,8,1,250,0,216,0,196,0,195,0,181,0,155,0,142,0,133,0,110,0,93,0,
95,0,78,0,31,0,2,0,16,0,32,0,17,0,237,255,204,255,188,255,193,255,204,255,205,255,199,255,175,255,136,255,
126,255,156,255,159,255,113,255,86,255,108,255,135,255,139,255,123,255,92,255,71,255,98,255,147,255,154,255,114,255,80,255,
87,255,121,255,151,255,161,255,157,255,147,255,145,255,169,255,211,255,231,255,225,255,236,255,23,0,67,0,98,0,113,0,
104,0,96,0,129,0,186,0,222,0,252,0,48,1,93,1,109,1,139,1,203,1,247,1,249,1,1,2,36,2,71,2,
109,2,170,2,229,2,15,3,74,3,147,3,179,3,182,3,203,3,227,3,242,3,30,4,96,4,126,4,141,4,197,4,
4,5,28,5,45,5,74,5,80,5,64,5,65,5,83,5,101,5,121,5,134,5,132,5,135,5,160,5,181,5,164,5,
113,5,77,5,86,5,105,5,96,5,79,5,76,5,59,5,24,5,1,5,236,4,192,4,155,4,143,4,124,4,90,4,
57,4,22,4,243,3,225,3,201,3,136,3,67,3,34,3,3,3,201,2,145,2,110,2,80,2,45,2,253,1,183,1,
107,1,53,1,15,1,221,0,151,0,78,0,18,0,219,255,155,255,85,255,16,255,201,254,125,254,48,254,234,253,173,253,
102,253,248,252,113,252,9,252,203,251,130,251,24,251,167,250,63,250,231,249,169,249,99,249,222,248,50,248,166,247,50,247,
169,246,33,246,194,245,124,245,45,245,207,244,88,244,195,243,52,243,180,242,23,242,100,241,236,240,195,240,158,240,87,240,
20,240,221,239,154,239,83,239,8,239,142,238,240,237,125,237,85,237,71,237,56,237,54,237,61,237,65,237,74,237,83,237,
56,237,241,236,178,236,171,236,213,236,6,237,60,237,135,237,222,237,54,238,146,238,224,238,6,239,44,239,134,239,241,239,
64,240,152,240,22,241,149,241,12,242,144,242,2,243,77,243,181,243,104,244,36,245,162,245,242,245,69,246,192,246,112,247,
41,248,163,248,222,248,51,249,230,249,207,250,152,251,22,252,104,252,203,252,100,253,15,254,127,254,172,254,237,254,138,255,
108,0,70,1,212,1,10,2,54,2,179,2,105,3,248,3,75,4,145,4,237,4,117,5,39,6,194,6,18,7,68,7,
155,7,19,8,139,8,240,8,46,9,87,9,166,9,45,10,187,10,33,11,87,11,108,11,132,11,199,11,40,12,117,12,
166,12,241,12,110,13,229,13,32,14,54,14,78,14,112,14,165,14,237,14,27,15,25,15,43,15,123,15,203,15,237,15,
3,16,24,16,27,16,29,16,39,16,26,16,5,16,23,16,60,16,72,16,87,16,119,16,109,16,41,16,250,15,6,16,
28,16,23,16,0,16,228,15,201,15,181,15,143,15,66,15,234,14,176,14,137,14,88,14,26,14,209,13,122,13,48,13,
8,13,222,12,132,12,15,12,163,11,58,11,203,10,104,10,22,10,200,9,120,9,43,9,216,8,111,8,239,7,108,7,
245,6,125,6,253,5,133,5,30,5,181,4,64,4,206,3,103,3,255,2,145,2,33,2,183,1,75,1,206,0,77,0,
234,255,167,255,105,255,37,255,209,254,82,254,200,253,129,253,101,253,29,253,175,252,85,252,13,252,206,251,168,251,112,251,
0,251,167,250,155,250,141,250,66,250,245,249,209,249,190,249,184,249,185,249,156,249,97,249,51,249,28,249,10,249,3,249,
6,249,252,248,235,248,241,248,10,249,16,249,245,248,207,248,189,248,196,248,210,248,214,248,207,248,211,248,243,248,29,249,
43,249,30,249,37,249,73,249,113,249,133,249,126,249,108,249,124,249,188,249,248,249,5,250,254,249,10,250,41,250,82,250,
112,250,112,250,106,250,131,250,176,250,210,250,237,250,5,251,18,251,42,251,99,251,159,251,184,251,192,251,220,251,7,252,
46,252,80,252,114,252,142,252,176,252,237,252,48,253,74,253,75,253,110,253,177,253,225,253,247,253,20,254,56,254,90,254,
134,254,195,254,252,254,44,255,98,255,161,255,214,255,253,255,30,0,70,0,122,0,177,0,228,0,22,1,75,1,122,1,
157,1,186,1,231,1,35,2,80,2,100,2,123,2,166,2,206,2,229,2,247,2,11,3,36,3,75,3,120,3,149,3,
160,3,171,3,193,3,228,3,13,4,36,4,25,4,2,4,250,3,3,4,20,4,42,4,57,4,43,4,4,4,234,3,
240,3,246,3,219,3,183,3,174,3,176,3,165,3,143,3,117,3,90,3,75,3,74,3,67,3,47,3,29,3,13,3,
247,2,224,2,204,2,183,2,161,2,137,2,114,2,98,2,88,2,68,2,34,2,252,1,218,1,200,1,201,1,194,1,
165,1,136,1,117,1,101,1,99,1,108,1,98,1,69,1,50,1,26,1,245,0,234,0,249,0,244,0,218,0,202,0,
183,0,159,0,154,0,149,0,107,0,63,0,48,0,32,0,11,0,11,0,3,0,216,255,188,255,197,255,192,255,157,255,
121,255,78,255,29,255,19,255,44,255,36,255,237,254,184,254,161,254,152,254,138,254,109,254,63,254,22,254,4,254,0,254,
245,253,215,253,170,253,131,253,117,253,119,253,111,253,83,253,47,253,23,253,15,253,18,253,19,253,7,253,234,252,195,252,
169,252,176,252,208,252,227,252,214,252,198,252,209,252,230,252,237,252,231,252,221,252,215,252,233,252,24,253,71,253,97,253,
114,253,135,253,159,253,186,253,214,253,240,253,6,254,27,254,53,254,91,254,138,254,178,254,211,254,249,254,29,255,55,255,
75,255,95,255,118,255,158,255,217,255,8,0,31,0,50,0,84,0,127,0,172,0,209,0,230,0,246,0,19,1,56,1,
81,1,87,1,98,1,134,1,174,1,184,1,174,1,184,1,213,1,239,1,6,2,25,2,24,2,10,2,10,2,31,2,
54,2,69,2,79,2,88,2,91,2,89,2,99,2,131,2,149,2,126,2,95,2,91,2,94,2,98,2,113,2,113,2,
84,2,69,2,84,2,88,2,73,2,64,2,53,2,35,2,38,2,57,2,51,2,25,2,13,2,10,2,4,2,9,2,
14,2,249,1,221,1,220,1,227,1,215,1,193,1,173,1,150,1,122,1,105,1,95,1,78,1,56,1,46,1,36,1,
14,1,0,1,0,1,237,0,190,0,155,0,144,0,134,0,123,0,117,0,95,0,59,0,33,0,16,0,246,255,218,255,
183,255,134,255,94,255,82,255,67,255,21,255,214,254,154,254,112,254,103,254,102,254,68,254,12,254,231,253,206,253,173,253,
139,253,107,253,65,253,26,253,1,253,224,252,173,252,132,252,109,252,81,252,38,252,246,251,211,251,194,251,174,251,131,251,
84,251,66,251,60,251,32,251,247,250,225,250,220,250,209,250,195,250,189,250,189,250,189,250,188,250,188,250,195,250,199,250,
178,250,150,250,156,250,194,250,229,250,249,250,1,251,247,250,251,250,43,251,90,251,85,251,77,251,116,251,164,251,192,251,
233,251,24,252,53,252,97,252,170,252,209,252,208,252,236,252,51,253,120,253,171,253,217,253,1,254,49,254,110,254,163,254,
204,254,254,254,48,255,85,255,130,255,193,255,3,0,71,0,139,0,191,0,235,0,32,1,75,1,101,1,159,1,1,2,
78,2,109,2,142,2,206,2,28,3,99,3,157,3,195,3,228,3,26,4,108,4,188,4,238,4,13,5,57,5,125,5,
204,5,20,6,64,6,87,6,131,6,221,6,54,7,98,7,111,7,122,7,141,7,179,7,238,7,36,8,77,8,122,8,
174,8,218,8,251,8,18,9,22,9,7,9,251,8,10,9,48,9,77,9,84,9,102,9,137,9,160,9,162,9,163,9,
144,9,88,9,39,9,26,9,15,9,241,8,219,8,203,8,170,8,131,8,103,8,72,8,27,8,229,7,154,7,69,7,
18,7,12,7,249,6,179,6,88,6,23,6,247,5,224,5,177,5,88,5,235,4,151,4,107,4,71,4,10,4,176,3,
75,3,250,2,205,2,163,2,79,2,220,1,124,1,65,1,16,1,204,0,109,0,12,0,209,255,181,255,131,255,39,255,
186,254,78,254,242,253,183,253,139,253,67,253,219,252,119,252,38,252,229,251,167,251,80,251,215,250,99,250,19,250,207,249,
118,249,16,249,180,248,105,248,41,248,224,247,117,247,235,246,115,246,37,246,225,245,132,245,34,245,210,244,136,244,48,244,
205,243,87,243,203,242,63,242,198,241,96,241,14,241,204,240,130,240,31,240,179,239,68,239,206,238,88,238,233,237,138,237,
76,237,43,237,9,237,234,236,217,236,194,236,149,236,98,236,27,236,179,235,108,235,117,235,160,235,186,235,204,235,213,235,
209,235,235,235,34,236,36,236,226,235,190,235,5,236,164,236,79,237,180,237,203,237,242,237,125,238,69,239,220,239,255,239,
238,239,72,240,79,241,131,242,76,243,173,243,245,243,91,244,254,244,199,245,86,246,140,246,206,246,132,247,162,248,215,249,
180,250,251,250,11,251,143,251,141,252,101,253,183,253,208,253,43,254,13,255,85,0,119,1,246,1,1,2,52,2,203,2,
126,3,255,3,74,4,140,4,4,5,194,5,127,6,243,6,50,7,109,7,175,7,251,7,104,8,232,8,83,9,164,9,
239,9,62,10,150,10,235,10,32,11,54,11,82,11,131,11,193,11,16,12,115,12,210,12,21,13,52,13,47,13,26,13,
26,13,67,13,121,13,165,13,220,13,56,14,158,14,215,14,204,14,150,14,104,14,125,14,218,14,45,15,33,15,230,14,
234,14,65,15,160,15,194,15,150,15,63,15,2,15,4,15,36,15,57,15,60,15,57,15,63,15,91,15,123,15,114,15,
39,15,188,14,121,14,142,14,216,14,253,14,209,14,123,14,61,14,42,14,21,14,199,13,71,13,215,12,155,12,129,12,
97,12,22,12,161,11,66,11,37,11,11,11,165,10,11,10,117,9,248,8,161,8,116,8,71,8,235,7,117,7,18,7,
200,6,117,6,242,5,66,5,163,4,72,4,30,4,218,3,69,3,125,2,224,1,167,1,154,1,94,1,220,0,63,0,
191,255,137,255,127,255,68,255,183,254,38,254,223,253,217,253,205,253,128,253,255,252,149,252,125,252,163,252,180,252,103,252,
202,251,70,251,47,251,97,251,121,251,69,251,227,250,158,250,171,250,228,250,244,250,203,250,154,250,128,250,129,250,155,250,
168,250,137,250,90,250,70,250,80,250,114,250,164,250,185,250,146,250,96,250,87,250,103,250,104,250,83,250,51,250,30,250,
42,250,74,250,96,250,100,250,93,250,85,250,93,250,118,250,117,250,77,250,47,250,56,250,76,250,87,250,107,250,126,250,
117,250,96,250,96,250,110,250,118,250,117,250,103,250,78,250,77,250,107,250,125,250,124,250,149,250,198,250,223,250,215,250,
213,250,241,250,39,251,92,251,110,251,104,251,118,251,161,251,207,251,245,251,9,252,5,252,12,252,63,252,120,252,135,252,
134,252,161,252,216,252,18,253,55,253,65,253,80,253,128,253,185,253,216,253,227,253,246,253,36,254,98,254,146,254,172,254,
200,254,241,254,26,255,68,255,104,255,104,255,79,255,87,255,138,255,187,255,219,255,240,255,254,255,36,0,119,0,195,0,
205,0,173,0,152,0,168,0,229,0,54,1,92,1,82,1,90,1,148,1,214,1,249,1,251,1,231,1,219,1,251,1,
50,2,71,2,50,2,36,2,60,2,109,2,157,2,186,2,176,2,142,2,138,2,186,2,240,2,12,3,16,3,255,2,
238,2,14,3,78,3,93,3,57,3,47,3,69,3,78,3,83,3,106,3,110,3,81,3,72,3,89,3,89,3,70,3,
72,3,93,3,112,3,129,3,134,3,118,3,108,3,132,3,158,3,150,3,132,3,136,3,147,3,151,3,160,3,168,3,
154,3,134,3,134,3,133,3,113,3,105,3,115,3,108,3,85,3,77,3,75,3,55,3,33,3,22,3,4,3,239,2,
235,2,230,2,206,2,196,2,209,2,201,2,162,2,136,2,126,2,95,2,50,2,26,2,18,2,12,2,6,2,242,1,
199,1,169,1,182,1,187,1,141,1,74,1,31,1,13,1,18,1,33,1,21,1,238,0,215,0,207,0,179,0,145,0,
139,0,141,0,115,0,81,0,67,0,69,0,70,0,52,0,16,0,247,255,0,0,20,0,19,0,246,255,209,255,190,255,
201,255,216,255,206,255,185,255,171,255,155,255,137,255,135,255,150,255,159,255,143,255,104,255,76,255,83,255,104,255,104,255,
83,255,58,255,39,255,40,255,57,255,58,255,42,255,34,255,27,255,6,255,254,254,16,255,22,255,255,254,229,254,216,254,
216,254,224,254,220,254,193,254,167,254,161,254,166,254,170,254,160,254,114,254,68,254,76,254,116,254,123,254,96,254,65,254,
29,254,6,254,31,254,78,254,82,254,47,254,22,254,18,254,28,254,44,254,44,254,16,254,246,253,255,253,23,254,31,254,
33,254,44,254,46,254,34,254,31,254,48,254,62,254,66,254,77,254,92,254,100,254,110,254,133,254,159,254,180,254,202,254,
222,254,236,254,255,254,26,255,44,255,43,255,46,255,64,255,77,255,79,255,92,255,116,255,127,255,135,255,166,255,197,255,
196,255,188,255,194,255,197,255,193,255,211,255,231,255,221,255,205,255,211,255,224,255,234,255,253,255,1,0,234,255,217,255,
218,255,205,255,177,255,157,255,137,255,115,255,116,255,130,255,128,255,116,255,110,255,95,255,74,255,70,255,72,255,59,255,
40,255,33,255,32,255,26,255,22,255,23,255,25,255,29,255,36,255,38,255,31,255,25,255,35,255,48,255,47,255,43,255,
59,255,95,255,128,255,147,255,151,255,160,255,197,255,3,0,68,0,123,0,161,0,179,0,203,0,255,0,59,1,101,1,
135,1,164,1,190,1,238,1,53,2,116,2,172,2,241,2,48,3,85,3,116,3,149,3,174,3,214,3,20,4,69,4,
105,4,165,4,232,4,15,5,50,5,96,5,128,5,142,5,155,5,152,5,140,5,169,5,231,5,11,6,10,6,14,6,
26,6,27,6,22,6,23,6,24,6,10,6,246,5,235,5,231,5,223,5,219,5,217,5,194,5,159,5,147,5,145,5,
123,5,101,5,98,5,80,5,29,5,237,4,200,4,161,4,140,4,132,4,88,4,22,4,8,4,33,4,21,4,225,3,
174,3,122,3,60,3,18,3,252,2,215,2,164,2,134,2,121,2,94,2,51,2,1,2,186,1,103,1,42,1,10,1,
223,0,152,0,77,0,18,0,226,255,180,255,118,255,27,255,185,254,108,254,45,254,230,253,153,253,76,253,251,252,168,252,
86,252,246,251,130,251,12,251,165,250,78,250,3,250,180,249,76,249,210,248,103,248,10,248,145,247,241,246,75,246,185,245,
61,245,224,244,155,244,64,244,188,243,60,243,215,242,102,242,203,241,31,241,124,240,245,239,157,239,104,239,55,239,0,239,
194,238,111,238,20,238,206,237,130,237,9,237,128,236,36,236,4,236,13,236,34,236,32,236,2,236,227,235,214,235,242,235,
57,236,96,236,9,236,113,235,68,235,201,235,155,236,38,237,42,237,254,236,80,237,67,238,47,239,126,239,91,239,77,239,
168,239,122,240,116,241,20,242,62,242,121,242,58,243,101,244,124,245,16,246,19,246,15,246,178,246,249,247,33,249,150,249,
144,249,187,249,151,250,5,252,63,253,156,253,109,253,159,253,144,254,193,255,159,0,4,1,40,1,115,1,48,2,41,3,
232,3,70,4,118,4,176,4,39,5,248,5,226,6,103,7,117,7,136,7,254,7,170,8,46,9,100,9,107,9,135,9,
238,9,144,10,26,11,89,11,120,11,177,11,2,12,77,12,133,12,163,12,175,12,214,12,45,13,146,13,234,13,58,14,
115,14,120,14,110,14,149,14,235,14,65,15,118,15,118,15,76,15,65,15,131,15,215,15,242,15,233,15,229,15,231,15,
250,15,43,16,70,16,43,16,13,16,19,16,32,16,41,16,44,16,4,16,186,15,166,15,222,15,10,16,252,15,204,15,
133,15,64,15,40,15,24,15,193,14,74,14,19,14,12,14,225,13,136,13,40,13,213,12,161,12,135,12,69,12,179,11,
22,11,192,10,150,10,76,10,215,9,97,9,249,8,164,8,107,8,35,8,137,7,183,6,25,6,227,5,217,5,157,5,
239,4,241,3,42,3,235,2,221,2,128,2,203,1,5,1,112,0,47,0,25,0,204,255,40,255,119,254,3,254,209,253,
176,253,81,253,144,252,195,251,107,251,150,251,197,251,124,251,196,250,19,250,196,249,199,249,193,249,115,249,224,248,86,248,
45,248,83,248,103,248,66,248,6,248,200,247,148,247,138,247,163,247,154,247,89,247,22,247,1,247,35,247,104,247,150,247,
129,247,78,247,66,247,96,247,128,247,141,247,134,247,113,247,103,247,131,247,187,247,240,247,15,248,29,248,41,248,82,248,
152,248,204,248,210,248,212,248,1,249,71,249,138,249,202,249,249,249,11,250,39,250,112,250,206,250,26,251,81,251,114,251,
131,251,165,251,230,251,38,252,92,252,154,252,216,252,6,253,60,253,141,253,229,253,49,254,110,254,159,254,211,254,24,255,
107,255,187,255,248,255,31,0,77,0,160,0,4,1,78,1,118,1,152,1,205,1,30,2,110,2,147,2,161,2,207,2,
22,3,76,3,116,3,162,3,201,3,241,3,53,4,127,4,164,4,179,4,205,4,237,4,11,5,45,5,69,5,71,5,
77,5,121,5,176,5,190,5,171,5,174,5,214,5,2,6,17,6,247,5,194,5,170,5,210,5,8,6,4,6,214,5,
183,5,182,5,208,5,240,5,223,5,139,5,56,5,37,5,59,5,69,5,30,5,197,4,122,4,129,4,175,4,162,4,
78,4,243,3,191,3,183,3,194,3,173,3,97,3,13,3,225,2,216,2,206,2,168,2,98,2,27,2,238,1,223,1,
212,1,165,1,75,1,244,0,201,0,182,0,149,0,97,0,28,0,214,255,169,255,150,255,122,255,83,255,54,255,16,255,
212,254,162,254,132,254,93,254,53,254,28,254,253,253,209,253,190,253,185,253,149,253,95,253,67,253,52,253,17,253,239,252,
223,252,203,252,169,252,143,252,130,252,115,252,101,252,91,252,74,252,50,252,43,252,53,252,50,252,27,252,8,252,251,251,
229,251,212,251,211,251,202,251,178,251,171,251,187,251,195,251,195,251,194,251,174,251,137,251,119,251,120,251,117,251,121,251,
142,251,151,251,142,251,150,251,179,251,196,251,198,251,201,251,198,251,190,251,201,251,228,251,252,251,15,252,36,252,50,252,
58,252,77,252,107,252,128,252,137,252,144,252,165,252,209,252,12,253,52,253,64,253,79,253,116,253,169,253,227,253,18,254,
42,254,60,254,110,254,187,254,250,254,31,255,59,255,83,255,114,255,174,255,245,255,31,0,46,0,73,0,125,0,198,0,
23,1,79,1,86,1,84,1,127,1,206,1,18,2,56,2,72,2,93,2,144,2,210,2,4,3,32,3,53,3,74,3,
107,3,158,3,192,3,184,3,175,3,193,3,214,3,225,3,253,3,27,4,27,4,23,4,48,4,67,4,57,4,54,4,
68,4,62,4,35,4,22,4,26,4,31,4,38,4,40,4,20,4,252,3,3,4,24,4,16,4,232,3,188,3,161,3,
151,3,148,3,129,3,94,3,70,3,68,3,69,3,60,3,45,3,17,3,232,2,206,2,196,2,165,2,106,2,58,2,
39,2,32,2,19,2,250,1,201,1,153,1,137,1,131,1,85,1,9,1,214,0,193,0,164,0,112,0,62,0,40,0,
38,0,21,0,234,255,184,255,135,255,80,255,36,255,22,255,13,255,231,254,172,254,117,254,77,254,48,254,17,254,224,253,
159,253,104,253,78,253,72,253,62,253,31,253,242,252,203,252,177,252,151,252,119,252,78,252,40,252,18,252,10,252,3,252,
255,251,253,251,227,251,176,251,138,251,125,251,101,251,54,251,14,251,254,250,4,251,22,251,24,251,247,250,211,250,206,250,
218,250,209,250,173,250,126,250,103,250,124,250,171,250,200,250,195,250,179,250,173,250,179,250,174,250,152,250,135,250,142,250,
167,250,196,250,215,250,212,250,204,250,223,250,10,251,40,251,45,251,43,251,51,251,82,251,134,251,183,251,218,251,251,251,
29,252,67,252,128,252,198,252,243,252,23,253,81,253,145,253,195,253,4,254,80,254,130,254,172,254,245,254,81,255,167,255,
1,0,90,0,158,0,218,0,36,1,106,1,169,1,248,1,79,2,153,2,233,2,87,3,196,3,18,4,83,4,151,4,
210,4,2,5,60,5,125,5,179,5,238,5,71,6,172,6,249,6,50,7,101,7,148,7,192,7,238,7,14,8,36,8,
72,8,121,8,161,8,209,8,19,9,68,9,81,9,84,9,87,9,84,9,97,9,134,9,152,9,134,9,118,9,128,9,
149,9,165,9,163,9,140,9,121,9,118,9,114,9,92,9,61,9,31,9,3,9,242,8,235,8,222,8,197,8,161,8,
114,8,60,8,12,8,224,7,168,7,95,7,30,7,245,6,205,6,139,6,61,6,248,5,184,5,114,5,41,5,200,4,
80,4,238,3,177,3,105,3,5,3,168,2,85,2,240,1,133,1,31,1,161,0,16,0,155,255,68,255,220,254,84,254,
194,253,56,253,188,252,67,252,172,251,244,250,75,250,201,249,86,249,216,248,73,248,168,247,255,246,95,246,194,245,18,245,
88,244,187,243,68,243,218,242,120,242,31,242,181,241,38,241,151,240,30,240,157,239,8,239,128,238,23,238,198,237,149,237,
112,237,43,237,217,236,172,236,138,236,62,236,225,235,161,235,123,235,116,235,148,235,182,235,195,235,226,235,22,236,44,236,
40,236,59,236,97,236,125,236,160,236,224,236,57,237,169,237,40,238,134,238,190,238,11,239,135,239,0,240,89,240,180,240,
44,241,185,241,93,242,19,243,180,243,35,244,135,244,13,245,166,245,51,246,177,246,31,247,142,247,47,248,1,249,174,249,
14,250,101,250,245,250,175,251,99,252,240,252,75,253,159,253,39,254,225,254,143,255,14,0,118,0,235,0,126,1,28,2,
160,2,3,3,94,3,192,3,55,4,193,4,64,5,150,5,224,5,75,6,214,6,92,7,196,7,19,8,109,8,228,8,
90,9,173,9,234,9,44,10,130,10,240,10,100,11,187,11,249,11,72,12,164,12,236,12,41,13,116,13,186,13,231,13,
12,14,53,14,99,14,159,14,233,14,48,15,110,15,166,15,202,15,215,15,239,15,34,16,77,16,89,16,95,16,120,16,
153,16,171,16,173,16,162,16,154,16,162,16,174,16,157,16,110,16,68,16,38,16,12,16,244,15,216,15,163,15,99,15,
59,15,30,15,233,14,165,14,99,14,24,14,210,13,167,13,120,13,21,13,148,12,37,12,212,11,146,11,69,11,211,10,
73,10,207,9,110,9,8,9,151,8,37,8,172,7,48,7,191,6,83,6,219,5,92,5,222,4,96,4,235,3,129,3,
17,3,146,2,16,2,160,1,76,1,8,1,172,0,37,0,154,255,49,255,226,254,139,254,37,254,184,253,81,253,0,253,
203,252,149,252,60,252,208,251,128,251,83,251,32,251,215,250,143,250,87,250,43,250,13,250,249,249,216,249,169,249,128,249,
98,249,73,249,53,249,35,249,12,249,251,248,247,248,236,248,210,248,186,248,171,248,159,248,158,248,172,248,187,248,189,248,
187,248,195,248,214,248,227,248,221,248,225,248,6,249,45,249,49,249,49,249,89,249,158,249,209,249,217,249,197,249,196,249,
245,249,57,250,92,250,96,250,110,250,153,250,216,250,20,251,52,251,63,251,84,251,133,251,197,251,255,251,39,252,59,252,
86,252,139,252,210,252,16,253,60,253,87,253,113,253,156,253,221,253,33,254,79,254,101,254,126,254,184,254,6,255,62,255,
89,255,115,255,160,255,225,255,45,0,114,0,159,0,188,0,221,0,5,1,53,1,108,1,152,1,174,1,197,1,249,1,
66,2,130,2,161,2,172,2,188,2,215,2,242,2,14,3,49,3,73,3,87,3,117,3,169,3,206,3,216,3,222,3,
240,3,9,4,31,4,49,4,60,4,61,4,52,4,54,4,82,4,106,4,94,4,68,4,59,4,57,4,48,4,39,4,
21,4,241,3,217,3,221,3,220,3,196,3,166,3,142,3,117,3,106,3,112,3,99,3,49,3,247,2,215,2,204,2,
190,2,154,2,102,2,57,2,37,2,35,2,21,2,233,1,175,1,136,1,121,1,106,1,75,1,26,1,231,0,204,0,
203,0,194,0,156,0,113,0,83,0,59,0,33,0,8,0,231,255,189,255,149,255,121,255,105,255,95,255,80,255,48,255,
4,255,219,254,188,254,171,254,160,254,144,254,119,254,97,254,88,254,90,254,89,254,68,254,33,254,7,254,243,253,217,253,
202,253,209,253,205,253,176,253,157,253,163,253,166,253,154,253,135,253,104,253,68,253,50,253,48,253,44,253,41,253,42,253,
42,253,43,253,54,253,62,253,56,253,41,253,33,253,39,253,55,253,59,253,41,253,28,253,36,253,52,253,69,253,89,253,
100,253,86,253,65,253,64,253,87,253,118,253,138,253,133,253,119,253,127,253,162,253,198,253,212,253,214,253,224,253,249,253,
22,254,44,254,64,254,87,254,109,254,124,254,134,254,150,254,174,254,196,254,206,254,220,254,247,254,22,255,51,255,77,255,
93,255,114,255,158,255,199,255,204,255,204,255,244,255,41,0,69,0,87,0,108,0,127,0,164,0,219,0,246,0,247,0,
11,1,44,1,59,1,79,1,113,1,125,1,132,1,184,1,243,1,245,1,229,1,246,1,16,2,35,2,76,2,117,2,
112,2,95,2,121,2,166,2,189,2,194,2,195,2,188,2,200,2,244,2,23,3,21,3,15,3,29,3,33,3,26,3,
36,3,46,3,38,3,46,3,82,3,99,3,94,3,109,3,135,3,138,3,138,3,150,3,144,3,129,3,145,3,170,3,
159,3,145,3,166,3,187,3,184,3,180,3,171,3,143,3,122,3,118,3,106,3,86,3,75,3,64,3,42,3,32,3,
35,3,26,3,4,3,239,2,216,2,190,2,181,2,179,2,150,2,93,2,48,2,35,2,32,2,11,2,227,1,181,1,
150,1,142,1,133,1,91,1,38,1,5,1,228,0,178,0,145,0,142,0,122,0,70,0,39,0,44,0,43,0,21,0,
241,255,186,255,132,255,111,255,102,255,63,255,16,255,253,254,244,254,223,254,200,254,186,254,169,254,142,254,105,254,57,254,
6,254,231,253,217,253,196,253,165,253,145,253,138,253,127,253,104,253,76,253,43,253,6,253,229,252,197,252,154,252,116,252,
101,252,94,252,72,252,47,252,26,252,2,252,244,251,239,251,207,251,148,251,114,251,108,251,87,251,54,251,40,251,32,251,
20,251,24,251,35,251,15,251,236,250,230,250,245,250,253,250,252,250,247,250,233,250,221,250,233,250,16,251,64,251,97,251,
105,251,109,251,145,251,209,251,4,252,25,252,41,252,76,252,123,252,179,252,248,252,56,253,96,253,138,253,213,253,37,254,
90,254,141,254,216,254,32,255,88,255,157,255,240,255,51,0,107,0,176,0,250,0,63,1,136,1,206,1,1,2,52,2,
128,2,219,2,40,3,96,3,145,3,199,3,6,4,74,4,133,4,171,4,203,4,254,4,58,5,94,5,114,5,157,5,
211,5,238,5,247,5,11,6,42,6,71,6,97,6,108,6,99,6,102,6,126,6,146,6,157,6,171,6,181,6,181,6,
188,6,198,6,189,6,170,6,158,6,142,6,113,6,90,6,79,6,61,6,36,6,20,6,18,6,14,6,250,5,208,5,
155,5,105,5,65,5,33,5,252,4,206,4,164,4,137,4,116,4,92,4,56,4,253,3,176,3,104,3,41,3,227,2,
155,2,94,2,31,2,212,1,145,1,87,1,13,1,169,0,59,0,209,255,113,255,28,255,197,254,92,254,237,253,135,253,
43,253,197,252,73,252,183,251,25,251,120,250,231,249,120,249,34,249,193,248,60,248,151,247,244,246,112,246,249,245,84,245,
135,244,231,243,148,243,81,243,251,242,167,242,76,242,214,241,99,241,2,241,146,240,12,240,140,239,26,239,196,238,172,238,
183,238,153,238,84,238,36,238,13,238,236,237,187,237,126,237,61,237,32,237,65,237,115,237,143,237,174,237,230,237,20,238,
34,238,49,238,107,238,209,238,59,239,120,239,130,239,160,239,35,240,228,240,107,241,142,241,164,241,12,242,209,242,173,243,
76,244,150,244,204,244,55,245,216,245,129,246,5,247,79,247,139,247,25,248,13,249,0,250,156,250,232,250,30,251,133,251,
75,252,38,253,139,253,135,253,188,253,129,254,142,255,108,0,211,0,221,0,3,1,151,1,89,2,224,2,32,3,83,3,
165,3,40,4,206,4,100,5,192,5,236,5,18,6,89,6,206,6,82,7,173,7,211,7,247,7,75,8,190,8,25,9,
67,9,79,9,97,9,155,9,251,9,89,10,146,10,189,10,250,10,65,11,123,11,163,11,182,11,184,11,202,11,0,12,
73,12,139,12,197,12,237,12,245,12,238,12,253,12,42,13,83,13,84,13,56,13,49,13,85,13,133,13,169,13,188,13,
186,13,170,13,164,13,164,13,156,13,155,13,172,13,177,13,156,13,132,13,119,13,107,13,84,13,38,13,235,12,202,12,
198,12,171,12,108,12,55,12,23,12,237,11,172,11,92,11,8,11,192,10,132,10,57,10,227,9,159,9,105,9,36,9,
212,8,135,8,41,8,186,7,86,7,1,7,156,6,35,6,182,5,94,5,6,5,172,4,89,4,249,3,115,3,238,2,
157,2,103,2,10,2,130,1,246,0,135,0,66,0,25,0,214,255,94,255,220,254,130,254,75,254,27,254,216,253,117,253,
15,253,206,252,164,252,110,252,48,252,241,251,169,251,106,251,82,251,82,251,55,251,251,250,193,250,168,250,169,250,167,250,
144,250,107,250,73,250,56,250,65,250,92,250,121,250,137,250,128,250,97,250,93,250,149,250,219,250,237,250,213,250,198,250,
226,250,47,251,139,251,185,251,177,251,183,251,241,251,64,252,124,252,155,252,170,252,203,252,12,253,79,253,125,253,154,253,
173,253,200,253,11,254,100,254,148,254,146,254,154,254,201,254,7,255,66,255,111,255,136,255,150,255,173,255,209,255,252,255,
39,0,75,0,102,0,128,0,156,0,185,0,215,0,242,0,1,1,1,1,253,0,11,1,51,1,96,1,119,1,123,1,
121,1,118,1,133,1,176,1,210,1,200,1,179,1,195,1,230,1,248,1,239,1,227,1,241,1,27,2,54,2,39,2,
10,2,7,2,30,2,66,2,90,2,77,2,42,2,26,2,34,2,44,2,60,2,79,2,72,2,44,2,35,2,58,2,
80,2,78,2,54,2,30,2,29,2,39,2,32,2,3,2,235,1,230,1,237,1,235,1,212,1,179,1,157,1,147,1,
137,1,118,1,87,1,50,1,28,1,26,1,23,1,9,1,243,0,209,0,162,0,125,0,115,0,117,0,107,0,73,0,
30,0,3,0,252,255,246,255,222,255,183,255,140,255,105,255,79,255,53,255,35,255,29,255,12,255,227,254,189,254,173,254,
155,254,124,254,98,254,77,254,53,254,43,254,34,254,253,253,211,253,194,253,183,253,160,253,148,253,137,253,96,253,53,253,
52,253,63,253,43,253,11,253,241,252,213,252,195,252,206,252,213,252,185,252,146,252,131,252,140,252,157,252,166,252,157,252,
127,252,98,252,95,252,115,252,127,252,114,252,95,252,96,252,114,252,135,252,144,252,126,252,100,252,108,252,154,252,181,252,
164,252,146,252,165,252,202,252,224,252,224,252,219,252,222,252,237,252,11,253,51,253,81,253,86,253,81,253,93,253,130,253,
166,253,175,253,165,253,172,253,208,253,3,254,43,254,56,254,56,254,82,254,141,254,185,254,178,254,166,254,197,254,251,254,
39,255,79,255,109,255,119,255,139,255,196,255,251,255,12,0,16,0,40,0,80,0,127,0,172,0,202,0,226,0,4,1,
37,1,69,1,113,1,154,1,161,1,161,1,201,1,8,2,50,2,73,2,93,2,112,2,134,2,165,2,190,2,203,2,
217,2,243,2,23,3,68,3,105,3,111,3,92,3,87,3,112,3,137,3,141,3,140,3,147,3,156,3,172,3,209,3,
241,3,226,3,187,3,174,3,190,3,201,3,192,3,168,3,148,3,161,3,204,3,230,3,213,3,177,3,146,3,134,3,
140,3,135,3,105,3,81,3,85,3,94,3,97,3,99,3,75,3,29,3,12,3,27,3,18,3,234,2,202,2,189,2,
184,2,187,2,179,2,135,2,85,2,65,2,52,2,21,2,242,1,215,1,190,1,170,1,157,1,136,1,98,1,62,1,
39,1,20,1,250,0,221,0,196,0,169,0,137,0,110,0,90,0,60,0,16,0,228,255,199,255,190,255,183,255,146,255,
85,255,50,255,47,255,22,255,227,254,190,254,166,254,131,254,104,254,90,254,62,254,26,254,4,254,237,253,186,253,133,253,
104,253,86,253,58,253,21,253,245,252,227,252,210,252,173,252,114,252,61,252,26,252,255,251,225,251,196,251,180,251,172,251,
151,251,118,251,89,251,60,251,18,251,232,250,195,250,157,250,141,250,158,250,160,250,127,250,111,250,129,250,132,250,107,250,
80,250,47,250,13,250,8,250,24,250,30,250,42,250,66,250,75,250,74,250,96,250,127,250,143,250,163,250,197,250,222,250,
241,250,21,251,67,251,106,251,143,251,190,251,248,251,55,252,109,252,158,252,212,252,15,253,81,253,168,253,252,253,43,254,
74,254,139,254,235,254,74,255,164,255,249,255,66,0,142,0,240,0,86,1,169,1,237,1,53,2,132,2,218,2,56,3,
146,3,225,3,45,4,133,4,224,4,37,5,89,5,149,5,212,5,15,6,91,6,183,6,252,6,42,7,95,7,150,7,
185,7,220,7,9,8,43,8,73,8,114,8,153,8,184,8,226,8,6,9,7,9,255,8,16,9,36,9,38,9,36,9,
34,9,26,9,35,9,72,9,99,9,83,9,40,9,9,9,255,8,250,8,235,8,212,8,190,8,174,8,166,8,159,8,
136,8,100,8,69,8,38,8,254,7,213,7,174,7,131,7,94,7,70,7,41,7,252,6,199,6,133,6,59,6,4,6,
221,5,165,5,98,5,43,5,246,4,173,4,87,4,0,4,170,3,97,3,29,3,194,2,84,2,248,1,173,1,90,1,
253,0,150,0,22,0,138,255,24,255,189,254,82,254,210,253,83,253,214,252,78,252,193,251,58,251,161,250,230,249,46,249,
172,248,76,248,217,247,63,247,143,246,217,245,47,245,152,244,2,244,95,243,198,242,69,242,208,241,104,241,22,241,197,240,
82,240,190,239,30,239,129,238,254,237,160,237,69,237,223,236,151,236,132,236,125,236,100,236,53,236,227,235,121,235,60,235,
66,235,63,235,13,235,230,234,245,234,48,235,145,235,245,235,21,236,240,235,231,235,46,236,152,236,254,236,78,237,118,237,
146,237,244,237,162,238,78,239,200,239,28,240,99,240,203,240,122,241,64,242,200,242,26,243,124,243,1,244,159,244,86,245,
8,246,132,246,232,246,123,247,62,248,7,249,188,249,61,250,125,250,207,250,141,251,131,252,58,253,154,253,234,253,106,254,
57,255,43,0,201,0,223,0,228,0,98,1,76,2,40,3,172,3,228,3,16,4,119,4,37,5,208,5,44,6,64,6,
78,6,139,6,13,7,193,7,88,8,153,8,179,8,251,8,106,9,194,9,241,9,10,10,33,10,98,10,220,10,75,11,
132,11,179,11,252,11,63,12,119,12,174,12,193,12,169,12,173,12,239,12,67,13,146,13,219,13,248,13,237,13,253,13,
59,14,111,14,128,14,128,14,113,14,100,14,135,14,207,14,240,14,217,14,204,14,236,14,11,15,4,15,238,14,216,14,
196,14,195,14,209,14,186,14,118,14,69,14,68,14,72,14,55,14,13,14,193,13,122,13,113,13,131,13,88,13,240,12,
128,12,19,12,191,11,172,11,163,11,73,11,188,10,100,10,69,10,28,10,203,9,77,9,169,8,27,8,212,7,164,7,
61,7,179,6,75,6,4,6,185,5,97,5,243,4,90,4,194,3,99,3,33,3,190,2,74,2,225,1,113,1,0,1,
179,0,105,0,240,255,109,255,5,255,159,254,59,254,251,253,204,253,132,253,43,253,200,252,92,252,18,252,6,252,238,251,
142,251,27,251,224,250,219,250,221,250,195,250,130,250,52,250,7,250,7,250,17,250,3,250,223,249,191,249,178,249,188,249,
215,249,228,249,199,249,160,249,168,249,212,249,246,249,4,250,9,250,18,250,61,250,132,250,169,250,155,250,157,250,194,250,
232,250,18,251,80,251,117,251,122,251,156,251,222,251,11,252,34,252,67,252,97,252,118,252,159,252,214,252,0,253,34,253,
75,253,102,253,121,253,162,253,211,253,226,253,236,253,35,254,110,254,146,254,148,254,158,254,184,254,227,254,30,255,68,255,
54,255,34,255,68,255,138,255,197,255,229,255,226,255,203,255,218,255,35,0,97,0,99,0,83,0,97,0,137,0,179,0,
213,0,224,0,220,0,228,0,1,1,36,1,65,1,81,1,84,1,86,1,98,1,123,1,148,1,155,1,144,1,145,1,
173,1,203,1,213,1,206,1,199,1,203,1,222,1,244,1,254,1,5,2,9,2,0,2,242,1,251,1,21,2,36,2,
36,2,26,2,2,2,235,1,240,1,9,2,16,2,245,1,206,1,189,1,200,1,213,1,205,1,184,1,165,1,153,1,
149,1,145,1,134,1,110,1,84,1,66,1,58,1,52,1,38,1,9,1,236,0,226,0,228,0,224,0,204,0,176,0,
148,0,133,0,133,0,125,0,93,0,60,0,55,0,61,0,50,0,29,0,18,0,16,0,13,0,6,0,241,255,210,255,
197,255,207,255,201,255,165,255,127,255,117,255,127,255,138,255,132,255,106,255,79,255,71,255,76,255,72,255,46,255,6,255,
231,254,222,254,227,254,229,254,215,254,189,254,174,254,184,254,189,254,164,254,129,254,104,254,90,254,89,254,87,254,61,254,
31,254,37,254,60,254,46,254,14,254,4,254,0,254,237,253,227,253,228,253,220,253,214,253,223,253,223,253,207,253,207,253,
224,253,226,253,213,253,212,253,219,253,218,253,216,253,228,253,243,253,247,253,239,253,233,253,243,253,18,254,46,254,39,254,
15,254,29,254,79,254,114,254,113,254,99,254,94,254,106,254,141,254,167,254,159,254,145,254,157,254,186,254,219,254,0,255,
14,255,241,254,215,254,238,254,26,255,48,255,41,255,20,255,11,255,44,255,110,255,156,255,143,255,99,255,91,255,143,255,
207,255,232,255,217,255,190,255,183,255,217,255,13,0,33,0,24,0,19,0,25,0,44,0,90,0,124,0,102,0,68,0,
82,0,112,0,125,0,141,0,151,0,132,0,130,0,175,0,213,0,214,0,214,0,214,0,197,0,193,0,222,0,242,0,
231,0,219,0,218,0,227,0,1,1,42,1,41,1,248,0,208,0,214,0,237,0,247,0,253,0,255,0,239,0,232,0,
6,1,30,1,1,1,219,0,222,0,231,0,215,0,205,0,211,0,209,0,212,0,237,0,248,0,230,0,214,0,207,0,
191,0,176,0,170,0,157,0,144,0,151,0,161,0,152,0,143,0,153,0,159,0,142,0,120,0,105,0,85,0,61,0,
57,0,68,0,65,0,48,0,39,0,31,0,19,0,19,0,23,0,251,255,211,255,199,255,197,255,179,255,171,255,174,255,
159,255,137,255,134,255,126,255,98,255,77,255,64,255,40,255,23,255,25,255,21,255,1,255,241,254,222,254,193,254,170,254,
150,254,120,254,95,254,85,254,68,254,42,254,23,254,4,254,225,253,189,253,165,253,144,253,120,253,100,253,88,253,72,253,
43,253,11,253,248,252,236,252,215,252,184,252,151,252,120,252,108,252,119,252,121,252,94,252,66,252,51,252,36,252,26,252,
26,252,13,252,239,251,232,251,252,251,6,252,7,252,18,252,29,252,33,252,45,252,58,252,52,252,47,252,73,252,112,252,
143,252,181,252,229,252,8,253,31,253,66,253,115,253,164,253,208,253,242,253,10,254,55,254,145,254,243,254,53,255,103,255,
167,255,242,255,63,0,141,0,202,0,245,0,57,1,158,1,243,1,38,2,104,2,208,2,68,3,173,3,255,3,54,4,
99,4,157,4,228,4,34,5,87,5,146,5,217,5,44,6,131,6,218,6,45,7,111,7,149,7,180,7,229,7,23,8,
43,8,51,8,92,8,168,8,232,8,254,8,4,9,35,9,92,9,139,9,152,9,137,9,124,9,136,9,167,9,190,9,
187,9,168,9,156,9,161,9,177,9,188,9,183,9,167,9,154,9,139,9,116,9,90,9,65,9,33,9,249,8,219,8,
203,8,191,8,166,8,126,8,72,8,19,8,242,7,217,7,163,7,87,7,24,7,241,6,207,6,166,6,102,6,11,6,
184,5,130,5,76,5,4,5,189,4,115,4,20,4,188,3,129,3,61,3,216,2,110,2,7,2,147,1,42,1,220,0,
135,0,19,0,145,255,17,255,154,254,56,254,217,253,96,253,214,252,92,252,240,251,125,251,251,250,113,250,229,249,87,249,
191,248,27,248,122,247,233,246,103,246,236,245,105,245,217,244,71,244,183,243,27,243,114,242,207,241,67,241,211,240,112,240,
7,240,162,239,88,239,12,239,150,238,14,238,158,237,53,237,195,236,99,236,32,236,240,235,225,235,231,235,204,235,133,235,
77,235,59,235,46,235,18,235,244,234,223,234,226,234,13,235,83,235,161,235,235,235,31,236,43,236,56,236,148,236,59,237,
191,237,219,237,212,237,30,238,212,238,178,239,73,240,100,240,111,240,8,241,22,242,243,242,104,243,185,243,12,244,127,244,
64,245,20,246,139,246,184,246,18,247,201,247,199,248,208,249,114,250,137,250,168,250,95,251,107,252,39,253,92,253,93,253,
164,253,117,254,149,255,110,0,182,0,193,0,10,1,164,1,79,2,217,2,57,3,116,3,177,3,45,4,217,4,95,5,
163,5,205,5,250,5,71,6,208,6,83,7,123,7,133,7,225,7,121,8,237,8,37,9,49,9,45,9,88,9,186,9,
5,10,47,10,118,10,207,10,4,11,50,11,131,11,197,11,205,11,198,11,215,11,248,11,38,12,103,12,162,12,193,12,
220,12,10,13,52,13,68,13,78,13,97,13,112,13,122,13,141,13,157,13,167,13,202,13,0,14,19,14,254,13,242,13,
249,13,6,14,30,14,51,14,36,14,0,14,232,13,214,13,201,13,212,13,220,13,183,13,128,13,107,13,115,13,112,13,
77,13,5,13,174,12,115,12,96,12,64,12,237,11,137,11,79,11,58,11,26,11,223,10,146,10,43,10,182,9,96,9,
41,9,222,8,116,8,5,8,145,7,43,7,253,6,229,6,134,6,218,5,57,5,211,4,161,4,124,4,30,4,118,3,
220,2,145,2,100,2,31,2,198,1,87,1,209,0,105,0,60,0,16,0,176,255,53,255,209,254,150,254,116,254,68,254,
228,253,102,253,12,253,242,252,239,252,205,252,133,252,57,252,2,252,227,251,210,251,186,251,147,251,110,251,83,251,47,251,
12,251,10,251,24,251,5,251,216,250,195,250,207,250,224,250,233,250,230,250,206,250,177,250,178,250,198,250,198,250,179,250,
166,250,163,250,172,250,212,250,8,251,23,251,249,250,226,250,244,250,21,251,33,251,12,251,236,250,235,250,22,251,70,251,
83,251,68,251,57,251,66,251,95,251,119,251,110,251,73,251,51,251,65,251,98,251,127,251,143,251,144,251,144,251,156,251,
177,251,186,251,176,251,164,251,170,251,197,251,225,251,243,251,255,251,9,252,23,252,51,252,85,252,102,252,99,252,103,252,
129,252,162,252,190,252,218,252,248,252,22,253,58,253,104,253,143,253,161,253,174,253,200,253,238,253,25,254,71,254,119,254,
165,254,214,254,4,255,35,255,58,255,91,255,137,255,184,255,227,255,14,0,57,0,95,0,127,0,165,0,216,0,14,1,
54,1,82,1,106,1,127,1,162,1,220,1,11,2,25,2,41,2,87,2,140,2,176,2,187,2,180,2,193,2,254,2,
65,3,78,3,58,3,53,3,73,3,112,3,159,3,180,3,165,3,165,3,206,3,253,3,22,4,22,4,0,4,240,3,
5,4,42,4,56,4,46,4,37,4,48,4,84,4,127,4,141,4,116,4,86,4,79,4,91,4,97,4,83,4,72,4,
87,4,112,4,123,4,125,4,122,4,110,4,106,4,112,4,95,4,55,4,41,4,64,4,84,4,82,4,67,4,53,4,
49,4,48,4,30,4,252,3,222,3,201,3,192,3,205,3,212,3,180,3,130,3,110,3,115,3,106,3,74,3,37,3,
4,3,230,2,207,2,195,2,182,2,155,2,125,2,101,2,73,2,46,2,28,2,249,1,179,1,116,1,97,1,92,1,
72,1,46,1,8,1,214,0,185,0,168,0,118,0,52,0,13,0,236,255,191,255,164,255,153,255,119,255,75,255,47,255,
17,255,231,254,193,254,149,254,83,254,23,254,247,253,229,253,207,253,182,253,150,253,114,253,86,253,63,253,31,253,233,252,
170,252,134,252,128,252,109,252,66,252,34,252,17,252,249,251,227,251,205,251,157,251,107,251,96,251,90,251,54,251,19,251,
1,251,223,250,189,250,191,250,192,250,154,250,115,250,100,250,85,250,74,250,84,250,89,250,69,250,46,250,37,250,32,250,
24,250,15,250,1,250,247,249,1,250,24,250,33,250,19,250,4,250,7,250,19,250,26,250,33,250,44,250,51,250,54,250,
59,250,76,250,118,250,178,250,206,250,191,250,195,250,251,250,62,251,100,251,115,251,126,251,159,251,233,251,62,252,109,252,
127,252,157,252,211,252,23,253,87,253,130,253,154,253,187,253,248,253,68,254,139,254,194,254,240,254,46,255,121,255,186,255,
234,255,25,0,80,0,138,0,201,0,16,1,86,1,143,1,185,1,234,1,48,2,117,2,165,2,214,2,18,3,59,3,
86,3,135,3,204,3,2,4,45,4,85,4,107,4,128,4,179,4,241,4,24,5,54,5,91,5,121,5,145,5,173,5,
184,5,182,5,206,5,254,5,21,6,12,6,6,6,13,6,25,6,48,6,70,6,63,6,32,6,17,6,31,6,50,6,
52,6,41,6,25,6,9,6,255,5,248,5,229,5,197,5,163,5,138,5,125,5,125,5,119,5,90,5,49,5,22,5,
3,5,228,4,187,4,150,4,119,4,89,4,70,4,56,4,27,4,237,3,198,3,173,3,145,3,118,3,100,3,69,3,
12,3,217,2,201,2,196,2,173,2,131,2,77,2,23,2,247,1,241,1,236,1,216,1,183,1,139,1,100,1,85,1,
83,1,59,1,9,1,215,0,192,0,197,0,204,0,186,0,153,0,139,0,147,0,153,0,138,0,103,0,52,0,12,0,
13,0,40,0,43,0,13,0,248,255,2,0,20,0,16,0,246,255,216,255,198,255,198,255,205,255,200,255,184,255,174,255,
180,255,191,255,197,255,186,255,159,255,137,255,136,255,144,255,139,255,123,255,111,255,114,255,129,255,129,255,102,255,74,255,
73,255,87,255,89,255,74,255,57,255,48,255,49,255,48,255,42,255,38,255,30,255,11,255,0,255,6,255,5,255,249,254,
250,254,249,254,221,254,188,254,169,254,150,254,136,254,139,254,132,254,104,254,87,254,85,254,70,254,47,254,27,254,245,253,
194,253,161,253,155,253,148,253,127,253,92,253,49,253,9,253,231,252,195,252,152,252,97,252,39,252,250,251,211,251,158,251,
105,251,73,251,35,251,227,250,165,250,110,250,36,250,214,249,159,249,97,249,7,249,181,248,123,248,58,248,227,247,134,247,
51,247,241,246,185,246,113,246,22,246,195,245,125,245,39,245,198,244,121,244,54,244,215,243,105,243,55,243,95,243,151,243,
127,243,254,242,80,242,221,241,230,241,41,242,20,242,153,241,64,241,99,241,211,241,65,242,116,242,79,242,2,242,231,241,
8,242,52,242,80,242,87,242,97,242,184,242,129,243,90,244,185,244,144,244,94,244,177,244,135,245,64,246,87,246,11,246,
19,246,218,246,17,248,1,249,70,249,59,249,111,249,6,250,208,250,133,251,220,251,224,251,2,252,153,252,127,253,81,254,
187,254,190,254,217,254,129,255,117,0,26,1,75,1,87,1,145,1,23,2,187,2,36,3,71,3,122,3,242,3,135,4,
6,5,83,5,120,5,163,5,249,5,103,6,197,6,251,6,5,7,4,7,59,7,192,7,85,8,182,8,212,8,206,8,
208,8,234,8,20,9,68,9,125,9,176,9,206,9,233,9,15,10,57,10,94,10,123,10,138,10,137,10,124,10,105,10,
98,10,135,10,205,10,254,10,249,10,208,10,174,10,183,10,221,10,234,10,196,10,141,10,117,10,129,10,149,10,156,10,
148,10,123,10,85,10,53,10,36,10,6,10,205,9,156,9,136,9,122,9,99,9,73,9,36,9,252,8,238,8,240,8,
206,8,127,8,36,8,215,7,166,7,152,7,149,7,122,7,60,7,235,6,169,6,144,6,138,6,105,6,19,6,153,5,
37,5,217,4,179,4,141,4,81,4,9,4,187,3,115,3,71,3,42,3,233,2,118,2,241,1,123,1,41,1,254,0,
204,0,105,0,254,255,196,255,164,255,101,255,15,255,183,254,87,254,247,253,175,253,112,253,25,253,180,252,98,252,47,252,
30,252,21,252,222,251,105,251,246,250,194,250,192,250,196,250,164,250,75,250,214,249,146,249,168,249,223,249,229,249,175,249,
105,249,65,249,76,249,122,249,144,249,108,249,57,249,55,249,104,249,154,249,171,249,161,249,155,249,188,249,5,250,72,250,
87,250,64,250,56,250,93,250,166,250,250,250,52,251,62,251,59,251,105,251,202,251,43,252,99,252,102,252,88,252,129,252,
239,252,87,253,123,253,123,253,140,253,195,253,27,254,118,254,171,254,190,254,211,254,244,254,31,255,93,255,166,255,218,255,
241,255,13,0,73,0,145,0,188,0,201,0,221,0,11,1,71,1,126,1,163,1,180,1,197,1,238,1,37,2,88,2,
125,2,138,2,137,2,155,2,197,2,244,2,27,3,52,3,60,3,73,3,114,3,161,3,182,3,189,3,199,3,205,3,
214,3,244,3,24,4,43,4,52,4,62,4,74,4,88,4,108,4,126,4,136,4,141,4,141,4,142,4,151,4,175,4,
203,4,219,4,219,4,219,4,223,4,223,4,221,4,236,4,0,5,1,5,0,5,13,5,13,5,249,4,248,4,14,5,
19,5,7,5,251,4,239,4,238,4,2,5,6,5,231,4,211,4,219,4,213,4,182,4,146,4,113,4,93,4,98,4,
103,4,75,4,26,4,235,3,202,3,188,3,179,3,144,3,82,3,21,3,239,2,228,2,217,2,173,2,106,2,52,2,
17,2,245,1,214,1,161,1,87,1,30,1,8,1,243,0,200,0,147,0,94,0,41,0,2,0,234,255,204,255,154,255,
90,255,32,255,253,254,237,254,216,254,179,254,134,254,96,254,74,254,61,254,42,254,10,254,226,253,191,253,169,253,160,253,
146,253,121,253,100,253,85,253,58,253,27,253,17,253,16,253,4,253,247,252,233,252,205,252,180,252,179,252,180,252,167,252,
160,252,154,252,135,252,125,252,139,252,142,252,119,252,98,252,89,252,83,252,87,252,82,252,53,252,27,252,34,252,47,252,
46,252,38,252,24,252,10,252,10,252,11,252,253,251,236,251,222,251,202,251,194,251,213,251,235,251,239,251,231,251,210,251,
184,251,176,251,179,251,177,251,178,251,187,251,184,251,174,251,182,251,204,251,217,251,213,251,199,251,186,251,192,251,208,251,
215,251,217,251,229,251,246,251,11,252,38,252,59,252,61,252,62,252,88,252,126,252,154,252,185,252,233,252,25,253,62,253,
112,253,179,253,235,253,14,254,49,254,96,254,152,254,223,254,42,255,97,255,130,255,168,255,232,255,63,0,158,0,240,0,
46,1,104,1,172,1,243,1,56,2,136,2,218,2,18,3,57,3,120,3,217,3,58,4,133,4,194,4,251,4,51,5,
108,5,161,5,199,5,232,5,14,6,60,6,110,6,171,6,238,6,30,7,55,7,85,7,136,7,183,7,199,7,194,7,
189,7,195,7,231,7,33,8,68,8,61,8,45,8,47,8,65,8,87,8,89,8,62,8,34,8,32,8,43,8,52,8,
50,8,28,8,255,7,255,7,24,8,37,8,27,8,2,8,224,7,195,7,183,7,175,7,154,7,128,7,102,7,70,7,
41,7,36,7,36,7,253,6,181,6,135,6,122,6,95,6,36,6,228,5,173,5,126,5,88,5,50,5,2,5,206,4,
155,4,90,4,14,4,198,3,127,3,52,3,231,2,153,2,79,2,19,2,216,1,136,1,44,1,218,0,148,0,73,0,
231,255,120,255,20,255,199,254,137,254,78,254,6,254,165,253,65,253,248,252,186,252,105,252,17,252,190,251,103,251,27,251,
237,250,188,250,101,250,12,250,210,249,155,249,81,249,9,249,195,248,119,248,62,248,24,248,216,247,120,247,42,247,250,246,
201,246,141,246,78,246,9,246,203,245,154,245,100,245,39,245,242,244,178,244,79,244,231,243,148,243,52,243,188,242,99,242,
76,242,59,242,231,241,88,241,201,240,99,240,36,240,227,239,107,239,201,238,100,238,98,238,117,238,98,238,62,238,11,238,
189,237,118,237,68,237,254,236,172,236,127,236,119,236,140,236,201,236,1,237,249,236,213,236,214,236,238,236,254,236,1,237,
241,236,221,236,6,237,144,237,56,238,174,238,244,238,56,239,144,239,8,240,154,240,21,241,76,241,126,241,9,242,224,242,
181,243,106,244,249,244,94,245,214,245,148,246,82,247,203,247,62,248,233,248,151,249,40,250,203,250,122,251,255,251,132,252,
74,253,25,254,163,254,13,255,144,255,42,0,223,0,173,1,72,2,148,2,242,2,159,3,92,4,249,4,140,5,15,6,
115,6,224,6,111,7,233,7,54,8,141,8,255,8,101,9,203,9,77,10,192,10,0,11,71,11,179,11,4,12,42,12,
84,12,126,12,160,12,245,12,123,13,206,13,226,13,11,14,78,14,126,14,172,14,220,14,219,14,185,14,195,14,8,15,
84,15,137,15,159,15,141,15,113,15,117,15,138,15,127,15,82,15,55,15,55,15,53,15,55,15,73,15,75,15,47,15,
21,15,11,15,246,14,212,14,164,14,105,14,77,14,108,14,131,14,90,14,38,14,21,14,251,13,201,13,164,13,132,13,
67,13,251,12,208,12,171,12,123,12,84,12,42,12,219,11,134,11,90,11,60,11,7,11,201,10,141,10,69,10,251,9,
193,9,127,9,40,9,215,8,143,8,53,8,208,7,130,7,68,7,243,6,144,6,47,6,211,5,106,5,243,4,121,4,
8,4,172,3,100,3,12,3,138,2,5,2,177,1,116,1,27,1,162,0,30,0,165,255,77,255,15,255,195,254,90,254,
238,253,139,253,45,253,220,252,142,252,40,252,183,251,102,251,50,251,239,250,157,250,89,250,26,250,211,249,156,249,125,249,
78,249,17,249,233,248,213,248,186,248,166,248,156,248,130,248,95,248,79,248,81,248,88,248,92,248,78,248,58,248,69,248,
102,248,114,248,109,248,119,248,137,248,156,248,190,248,235,248,18,249,50,249,81,249,119,249,173,249,237,249,27,250,54,250,
96,250,170,250,250,250,47,251,86,251,138,251,207,251,19,252,73,252,111,252,146,252,207,252,31,253,95,253,134,253,175,253,
233,253,41,254,102,254,155,254,199,254,243,254,35,255,84,255,138,255,197,255,247,255,30,0,78,0,140,0,193,0,216,0,
226,0,251,0,33,1,64,1,90,1,121,1,146,1,167,1,197,1,222,1,224,1,226,1,255,1,32,2,38,2,35,2,
50,2,74,2,91,2,111,2,138,2,153,2,153,2,162,2,178,2,187,2,196,2,212,2,219,2,213,2,211,2,220,2,
229,2,234,2,234,2,236,2,249,2,14,3,35,3,49,3,46,3,30,3,35,3,63,3,84,3,89,3,92,3,95,3,
101,3,124,3,142,3,130,3,112,3,114,3,120,3,111,3,92,3,78,3,82,3,89,3,80,3,67,3,68,3,63,3,
42,3,25,3,13,3,251,2,233,2,220,2,203,2,190,2,184,2,165,2,131,2,105,2,83,2,47,2,9,2,231,1,
190,1,153,1,136,1,115,1,66,1,16,1,246,0,219,0,178,0,139,0,99,0,46,0,10,0,11,0,6,0,214,255,
152,255,110,255,79,255,48,255,19,255,233,254,174,254,125,254,104,254,89,254,51,254,252,253,206,253,176,253,151,253,123,253,
92,253,54,253,9,253,230,252,216,252,207,252,181,252,136,252,102,252,99,252,103,252,86,252,58,252,35,252,16,252,3,252,
2,252,247,251,214,251,188,251,190,251,204,251,215,251,216,251,207,251,198,251,201,251,213,251,222,251,225,251,230,251,244,251,
7,252,25,252,50,252,78,252,84,252,79,252,106,252,163,252,204,252,215,252,218,252,230,252,6,253,54,253,89,253,103,253,
119,253,152,253,193,253,232,253,7,254,32,254,63,254,99,254,129,254,155,254,182,254,211,254,245,254,32,255,75,255,105,255,
118,255,121,255,144,255,196,255,241,255,252,255,248,255,5,0,39,0,85,0,119,0,124,0,120,0,142,0,177,0,196,0,
206,0,228,0,252,0,6,1,14,1,34,1,55,1,67,1,79,1,95,1,110,1,121,1,131,1,142,1,161,1,180,1,
191,1,204,1,221,1,220,1,206,1,218,1,1,2,29,2,43,2,53,2,51,2,46,2,66,2,102,2,117,2,107,2,
94,2,97,2,123,2,155,2,170,2,172,2,179,2,196,2,213,2,220,2,216,2,210,2,210,2,223,2,239,2,241,2,
232,2,233,2,249,2,1,3,253,2,245,2,238,2,233,2,232,2,230,2,224,2,218,2,203,2,173,2,159,2,170,2,
170,2,144,2,118,2,108,2,102,2,87,2,62,2,41,2,26,2,2,2,225,1,204,1,188,1,159,1,129,1,109,1,
84,1,53,1,33,1,3,1,209,0,169,0,151,0,129,0,93,0,55,0,17,0,232,255,197,255,170,255,147,255,119,255,
81,255,40,255,5,255,236,254,218,254,189,254,143,254,98,254,66,254,33,254,251,253,227,253,214,253,184,253,133,253,87,253,
51,253,18,253,251,252,237,252,211,252,171,252,145,252,135,252,115,252,84,252,66,252,53,252,33,252,25,252,34,252,30,252,
3,252,235,251,229,251,237,251,250,251,249,251,230,251,218,251,230,251,246,251,251,251,247,251,243,251,246,251,5,252,24,252,
41,252,51,252,51,252,57,252,80,252,107,252,127,252,145,252,157,252,160,252,179,252,221,252,255,252,9,253,13,253,36,253,
72,253,99,253,114,253,133,253,153,253,163,253,173,253,198,253,235,253,13,254,38,254,52,254,65,254,91,254,119,254,140,254,
161,254,178,254,185,254,209,254,255,254,25,255,27,255,42,255,76,255,112,255,146,255,169,255,172,255,188,255,230,255,4,0,
10,0,20,0,45,0,77,0,124,0,175,0,196,0,196,0,222,0,23,1,70,1,88,1,104,1,129,1,156,1,187,1,
228,1,11,2,46,2,82,2,112,2,129,2,151,2,192,2,235,2,0,3,9,3,31,3,69,3,106,3,135,3,164,3,
189,3,207,3,227,3,254,3,24,4,55,4,91,4,118,4,140,4,169,4,198,4,213,4,227,4,246,4,3,5,19,5,
45,5,62,5,62,5,70,5,96,5,125,5,140,5,143,5,146,5,158,5,168,5,169,5,172,5,181,5,192,5,204,5,
209,5,205,5,212,5,235,5,246,5,231,5,210,5,199,5,199,5,204,5,200,5,180,5,160,5,150,5,143,5,137,5,
125,5,97,5,66,5,49,5,38,5,19,5,249,4,221,4,193,4,166,4,139,4,115,4,93,4,64,4,25,4,243,3,
206,3,171,3,141,3,105,3,60,3,20,3,238,2,184,2,128,2,96,2,64,2,9,2,210,1,173,1,140,1,102,1,
58,1,1,1,196,0,151,0,116,0,76,0,35,0,250,255,200,255,150,255,119,255,94,255,54,255,6,255,209,254,145,254,
89,254,66,254,45,254,246,253,184,253,142,253,104,253,60,253,23,253,239,252,186,252,140,252,108,252,73,252,32,252,250,251,
213,251,168,251,113,251,63,251,28,251,248,250,196,250,144,250,111,250,82,250,44,250,3,250,214,249,164,249,120,249,83,249,
43,249,3,249,222,248,179,248,145,248,128,248,103,248,51,248,252,247,217,247,190,247,154,247,110,247,71,247,42,247,15,247,
243,246,218,246,187,246,150,246,122,246,103,246,76,246,48,246,34,246,26,246,10,246,248,245,229,245,213,245,218,245,240,245,
254,245,249,245,230,245,209,245,200,245,209,245,224,245,236,245,241,245,241,245,255,245,33,246,58,246,61,246,66,246,91,246,
124,246,158,246,193,246,221,246,246,246,28,247,80,247,128,247,165,247,208,247,6,248,53,248,91,248,140,248,199,248,243,248,
21,249,79,249,157,249,226,249,26,250,78,250,123,250,165,250,226,250,52,251,127,251,181,251,229,251,32,252,111,252,208,252,
41,253,98,253,140,253,198,253,9,254,78,254,156,254,218,254,246,254,32,255,118,255,202,255,3,0,63,0,128,0,179,0,
235,0,47,1,111,1,167,1,221,1,7,2,53,2,125,2,199,2,251,2,42,3,98,3,147,3,185,3,230,3,27,4,
72,4,102,4,138,4,192,4,255,4,53,5,91,5,108,5,117,5,154,5,214,5,255,5,13,6,27,6,46,6,72,6,
122,6,177,6,201,6,207,6,233,6,14,7,34,7,46,7,65,7,84,7,94,7,111,7,141,7,162,7,169,7,176,7,
179,7,171,7,175,7,200,7,198,7,161,7,146,7,166,7,172,7,158,7,154,7,152,7,139,7,134,7,137,7,122,7,
95,7,76,7,55,7,24,7,7,7,4,7,240,6,208,6,190,6,175,6,139,6,98,6,66,6,27,6,240,5,214,5,
186,5,136,5,93,5,74,5,45,5,247,4,203,4,176,4,135,4,80,4,35,4,2,4,211,3,146,3,86,3,44,3,
17,3,249,2,203,2,123,2,48,2,10,2,235,1,181,1,120,1,61,1,0,1,214,0,191,0,147,0,84,0,42,0,
7,0,205,255,150,255,115,255,70,255,14,255,224,254,183,254,141,254,108,254,72,254,19,254,222,253,185,253,148,253,102,253,
60,253,29,253,254,252,216,252,183,252,159,252,132,252,97,252,68,252,49,252,26,252,252,251,223,251,201,251,184,251,172,251,
163,251,158,251,149,251,123,251,88,251,72,251,76,251,74,251,52,251,29,251,20,251,26,251,39,251,49,251,48,251,36,251,
30,251,43,251,64,251,76,251,79,251,80,251,79,251,87,251,108,251,121,251,122,251,142,251,184,251,210,251,218,251,243,251,
25,252,44,252,53,252,80,252,120,252,155,252,187,252,217,252,248,252,44,253,119,253,172,253,186,253,203,253,244,253,31,254,
80,254,141,254,184,254,206,254,248,254,60,255,123,255,176,255,218,255,240,255,12,0,78,0,157,0,201,0,221,0,1,1,
66,1,136,1,190,1,232,1,15,2,54,2,99,2,152,2,194,2,221,2,3,3,54,3,96,3,138,3,190,3,231,3,
250,3,13,4,41,4,74,4,108,4,125,4,124,4,141,4,185,4,220,4,228,4,234,4,248,4,14,5,42,5,65,5,
69,5,68,5,76,5,86,5,92,5,105,5,114,5,103,5,87,5,96,5,124,5,129,5,100,5,69,5,54,5,53,5,
62,5,72,5,63,5,33,5,9,5,5,5,10,5,5,5,236,4,195,4,155,4,134,4,134,4,126,4,93,4,58,4,
41,4,28,4,3,4,229,3,194,3,151,3,118,3,105,3,86,3,48,3,13,3,248,2,228,2,204,2,182,2,154,2,
113,2,64,2,20,2,240,1,214,1,194,1,162,1,117,1,85,1,71,1,39,1,241,0,205,0,188,0,155,0,113,0,
88,0,69,0,44,0,21,0,252,255,219,255,188,255,166,255,149,255,135,255,107,255,59,255,26,255,19,255,9,255,241,254,
216,254,188,254,157,254,133,254,108,254,77,254,55,254,39,254,10,254,240,253,237,253,233,253,207,253,174,253,151,253,138,253,
130,253,123,253,109,253,90,253,72,253,67,253,71,253,66,253,45,253,24,253,15,253,8,253,251,252,232,252,212,252,201,252,
202,252,206,252,206,252,200,252,189,252,176,252,176,252,192,252,201,252,183,252,155,252,153,252,180,252,209,252,212,252,186,252,
160,252,169,252,209,252,241,252,234,252,201,252,173,252,174,252,205,252,233,252,228,252,208,252,204,252,218,252,237,252,246,252,
235,252,214,252,205,252,211,252,224,252,240,252,243,252,220,252,198,252,206,252,234,252,247,252,225,252,187,252,173,252,200,252,
238,252,250,252,229,252,201,252,199,252,233,252,27,253,59,253,51,253,17,253,10,253,55,253,106,253,117,253,104,253,97,253,
111,253,155,253,211,253,235,253,227,253,231,253,7,254,51,254,95,254,118,254,112,254,115,254,163,254,238,254,43,255,69,255,
74,255,94,255,145,255,208,255,255,255,18,0,24,0,46,0,104,0,167,0,200,0,214,0,230,0,0,1,44,1,108,1,
154,1,156,1,145,1,160,1,199,1,243,1,21,2,32,2,32,2,51,2,93,2,123,2,128,2,133,2,143,2,153,2,
179,2,223,2,246,2,234,2,221,2,229,2,246,2,11,3,25,3,17,3,2,3,12,3,42,3,58,3,47,3,30,3,
23,3,23,3,24,3,23,3,25,3,29,3,33,3,33,3,29,3,27,3,30,3,27,3,21,3,20,3,17,3,6,3,
255,2,255,2,246,2,238,2,244,2,242,2,221,2,205,2,205,2,196,2,179,2,173,2,176,2,172,2,164,2,163,2,
161,2,146,2,125,2,112,2,101,2,92,2,94,2,98,2,88,2,81,2,90,2,84,2,60,2,55,2,71,2,66,2,
42,2,30,2,30,2,31,2,32,2,25,2,9,2,1,2,14,2,29,2,24,2,253,1,225,1,217,1,221,1,214,1,
197,1,186,1,186,1,194,1,199,1,193,1,185,1,183,1,172,1,153,1,148,1,149,1,126,1,92,1,84,1,95,1,
98,1,99,1,102,1,90,1,68,1,64,1,70,1,60,1,41,1,28,1,15,1,10,1,32,1,61,1,63,1,43,1,
34,1,44,1,57,1,58,1,49,1,51,1,67,1,78,1,86,1,104,1,118,1,118,1,121,1,131,1,132,1,132,1,
143,1,155,1,165,1,185,1,201,1,193,1,183,1,202,1,230,1,235,1,218,1,201,1,199,1,214,1,239,1,254,1,
239,1,210,1,198,1,202,1,203,1,196,1,176,1,149,1,134,1,137,1,129,1,101,1,71,1,40,1,9,1,251,0,
241,0,207,0,164,0,142,0,123,0,92,0,63,0,36,0,249,255,196,255,158,255,136,255,112,255,75,255,29,255,232,254,
180,254,149,254,139,254,110,254,45,254,231,253,186,253,155,253,117,253,70,253,16,253,223,252,188,252,149,252,95,252,40,252,
247,251,190,251,132,251,85,251,38,251,241,250,193,250,143,250,79,250,22,250,244,249,203,249,137,249,77,249,46,249,15,249,
226,248,184,248,149,248,107,248,60,248,18,248,240,247,215,247,193,247,162,247,127,247,105,247,103,247,103,247,88,247,58,247,
36,247,42,247,58,247,62,247,62,247,65,247,68,247,79,247,103,247,125,247,143,247,167,247,192,247,217,247,4,248,50,248,
73,248,95,248,143,248,195,248,240,248,27,249,55,249,70,249,112,249,188,249,249,249,29,250,70,250,113,250,144,250,189,250,
3,251,51,251,54,251,64,251,117,251,183,251,234,251,17,252,43,252,60,252,99,252,157,252,186,252,189,252,216,252,4,253,
26,253,39,253,70,253,102,253,120,253,137,253,166,253,198,253,222,253,234,253,244,253,18,254,61,254,86,254,88,254,95,254,
125,254,167,254,208,254,243,254,5,255,7,255,22,255,68,255,122,255,154,255,172,255,193,255,218,255,251,255,40,0,86,0,
117,0,137,0,160,0,201,0,4,1,56,1,77,1,87,1,122,1,185,1,246,1,34,2,71,2,112,2,157,2,205,2,
2,3,54,3,97,3,140,3,197,3,9,4,72,4,113,4,127,4,142,4,187,4,0,5,65,5,119,5,160,5,188,5,
218,5,17,6,89,6,147,6,173,6,188,6,210,6,243,6,32,7,90,7,140,7,161,7,171,7,201,7,242,7,17,8,
34,8,33,8,18,8,27,8,70,8,102,8,94,8,80,8,80,8,82,8,84,8,96,8,100,8,73,8,40,8,29,8,
27,8,10,8,244,7,224,7,191,7,149,7,124,7,105,7,69,7,26,7,241,6,199,6,162,6,141,6,113,6,64,6,
9,6,216,5,173,5,146,5,128,5,88,5,23,5,214,4,173,4,150,4,118,4,68,4,16,4,236,3,202,3,161,3,
122,3,85,3,42,3,254,2,211,2,169,2,139,2,115,2,72,2,20,2,243,1,222,1,187,1,146,1,108,1,66,1,
31,1,21,1,6,1,213,0,167,0,154,0,140,0,99,0,60,0,36,0,252,255,199,255,161,255,136,255,105,255,75,255,
51,255,20,255,238,254,205,254,182,254,163,254,137,254,92,254,38,254,255,253,237,253,226,253,212,253,196,253,173,253,146,253,
117,253,94,253,74,253,51,253,25,253,5,253,243,252,225,252,215,252,207,252,187,252,165,252,159,252,156,252,140,252,116,252,
100,252,97,252,107,252,113,252,99,252,70,252,53,252,60,252,78,252,86,252,72,252,54,252,48,252,53,252,72,252,93,252,
93,252,73,252,65,252,74,252,85,252,98,252,109,252,104,252,88,252,94,252,123,252,149,252,155,252,144,252,139,252,147,252,
164,252,180,252,188,252,179,252,172,252,193,252,225,252,233,252,220,252,214,252,224,252,241,252,4,253,18,253,25,253,26,253,
24,253,35,253,61,253,75,253,64,253,65,253,97,253,125,253,131,253,136,253,145,253,147,253,150,253,163,253,167,253,161,253,
167,253,185,253,201,253,220,253,245,253,253,253,244,253,245,253,9,254,26,254,31,254,28,254,27,254,49,254,86,254,109,254,
120,254,137,254,159,254,182,254,215,254,245,254,254,254,3,255,20,255,45,255,82,255,124,255,142,255,148,255,181,255,229,255,
7,0,34,0,63,0,83,0,105,0,147,0,193,0,225,0,250,0,21,1,56,1,104,1,160,1,211,1,251,1,21,2,
42,2,78,2,132,2,188,2,230,2,5,3,39,3,87,3,141,3,180,3,208,3,238,3,19,4,65,4,117,4,164,4,
197,4,220,4,246,4,28,5,76,5,118,5,150,5,180,5,210,5,236,5,10,6,40,6,54,6,61,6,88,6,131,6,
162,6,173,6,182,6,197,6,212,6,236,6,13,7,26,7,12,7,8,7,32,7,46,7,37,7,38,7,51,7,43,7,
29,7,43,7,66,7,58,7,23,7,251,6,247,6,254,6,1,7,242,6,211,6,179,6,165,6,168,6,162,6,134,6,
102,6,79,6,62,6,49,6,29,6,252,5,212,5,178,5,153,5,135,5,111,5,67,5,14,5,231,4,213,4,195,4,
157,4,103,4,50,4,4,4,216,3,179,3,144,3,93,3,33,3,245,2,208,2,161,2,114,2,68,2,3,2,195,1,
154,1,115,1,64,1,13,1,212,0,138,0,75,0,41,0,5,0,197,255,128,255,75,255,32,255,238,254,181,254,123,254,
61,254,253,253,203,253,165,253,114,253,47,253,242,252,192,252,150,252,116,252,78,252,30,252,239,251,201,251,164,251,127,251,
91,251,47,251,255,250,218,250,186,250,150,250,119,250,93,250,67,250,43,250,23,250,254,249,225,249,196,249,171,249,148,249,
123,249,93,249,64,249,44,249,28,249,16,249,9,249,0,249,234,248,205,248,187,248,181,248,173,248,160,248,143,248,123,248,
108,248,105,248,100,248,77,248,53,248,45,248,42,248,31,248,18,248,255,247,230,247,215,247,203,247,175,247,145,247,135,247,
128,247,111,247,91,247,74,247,55,247,32,247,0,247,225,246,206,246,186,246,154,246,125,246,108,246,98,246,100,246,109,246,
105,246,90,246,79,246,63,246,39,246,26,246,20,246,13,246,14,246,23,246,30,246,37,246,50,246,68,246,88,246,99,246,
93,246,89,246,106,246,134,246,165,246,203,246,239,246,15,247,61,247,119,247,172,247,220,247,9,248,51,248,97,248,157,248,
232,248,50,249,107,249,143,249,191,249,17,250,102,250,159,250,212,250,39,251,136,251,217,251,19,252,68,252,122,252,197,252,
41,253,133,253,191,253,238,253,54,254,144,254,229,254,60,255,146,255,208,255,255,255,58,0,131,0,198,0,2,1,64,1,
124,1,187,1,1,2,55,2,82,2,119,2,191,2,0,3,29,3,63,3,118,3,156,3,187,3,248,3,48,4,66,4,
87,4,131,4,158,4,177,4,222,4,10,5,27,5,50,5,93,5,130,5,156,5,179,5,195,5,210,5,235,5,1,6,
10,6,20,6,46,6,83,6,112,6,124,6,137,6,154,6,163,6,175,6,201,6,213,6,205,6,219,6,254,6,16,7,
25,7,42,7,47,7,41,7,58,7,82,7,86,7,90,7,104,7,108,7,111,7,134,7,152,7,154,7,162,7,175,7,
171,7,169,7,188,7,200,7,189,7,184,7,190,7,185,7,178,7,185,7,195,7,196,7,194,7,184,7,166,7,160,7,
165,7,155,7,133,7,120,7,111,7,91,7,65,7,37,7,11,7,249,6,235,6,215,6,188,6,152,6,110,6,78,6,
47,6,254,5,201,5,163,5,123,5,73,5,26,5,241,4,197,4,151,4,98,4,40,4,242,3,189,3,131,3,78,3,
30,3,222,2,150,2,92,2,41,2,244,1,194,1,139,1,72,1,11,1,215,0,157,0,99,0,49,0,250,255,188,255,
136,255,101,255,65,255,14,255,214,254,173,254,144,254,105,254,59,254,17,254,228,253,179,253,148,253,125,253,84,253,36,253,
12,253,5,253,244,252,210,252,173,252,138,252,105,252,82,252,70,252,56,252,29,252,253,251,229,251,221,251,223,251,214,251,
186,251,167,251,174,251,171,251,144,251,125,251,119,251,104,251,91,251,97,251,96,251,72,251,56,251,65,251,78,251,82,251,
83,251,76,251,64,251,64,251,82,251,99,251,107,251,113,251,118,251,124,251,146,251,176,251,187,251,190,251,212,251,239,251,
247,251,3,252,34,252,58,252,75,252,102,252,131,252,155,252,183,252,215,252,246,252,24,253,57,253,84,253,114,253,153,253,
188,253,222,253,8,254,50,254,84,254,118,254,162,254,209,254,246,254,17,255,51,255,94,255,136,255,181,255,228,255,1,0,
18,0,56,0,105,0,143,0,179,0,222,0,254,0,26,1,67,1,109,1,144,1,186,1,231,1,8,2,36,2,65,2,
88,2,113,2,152,2,197,2,239,2,14,3,32,3,44,3,66,3,100,3,129,3,143,3,158,3,185,3,216,3,239,3,
6,4,33,4,54,4,70,4,88,4,100,4,105,4,122,4,145,4,154,4,157,4,170,4,183,4,187,4,196,4,211,4,
212,4,199,4,196,4,207,4,210,4,201,4,198,4,195,4,181,4,173,4,181,4,179,4,156,4,139,4,134,4,131,4,
127,4,114,4,89,4,70,4,65,4,51,4,25,4,5,4,245,3,218,3,186,3,167,3,159,3,143,3,113,3,86,3,
71,3,54,3,26,3,0,3,233,2,205,2,178,2,157,2,133,2,103,2,78,2,63,2,51,2,30,2,253,1,223,1,
200,1,171,1,139,1,122,1,105,1,72,1,43,1,24,1,255,0,229,0,212,0,189,0,160,0,141,0,126,0,99,0,
63,0,34,0,15,0,254,255,227,255,197,255,181,255,168,255,141,255,116,255,101,255,75,255,36,255,9,255,0,255,240,254,
214,254,185,254,154,254,123,254,107,254,101,254,81,254,48,254,23,254,4,254,235,253,212,253,198,253,177,253,143,253,117,253,
105,253,95,253,80,253,63,253,41,253,16,253,252,252,235,252,214,252,191,252,180,252,180,252,173,252,152,252,129,252,109,252,
95,252,95,252,95,252,79,252,62,252,61,252,55,252,43,252,42,252,34,252,7,252,4,252,29,252,32,252,13,252,6,252,
255,251,241,251,250,251,19,252,23,252,17,252,20,252,17,252,19,252,43,252,69,252,78,252,84,252,93,252,101,252,118,252,
138,252,147,252,158,252,187,252,216,252,231,252,244,252,4,253,18,253,37,253,68,253,96,253,117,253,136,253,156,253,178,253,
208,253,247,253,18,254,33,254,58,254,96,254,126,254,143,254,164,254,192,254,212,254,226,254,249,254,25,255,54,255,82,255,
113,255,138,255,152,255,165,255,182,255,195,255,207,255,227,255,242,255,252,255,17,0,47,0,64,0,71,0,78,0,90,0,
115,0,146,0,151,0,137,0,145,0,166,0,171,0,181,0,204,0,211,0,207,0,220,0,235,0,230,0,228,0,239,0,
247,0,250,0,255,0,5,1,9,1,14,1,24,1,38,1,41,1,31,1,33,1,57,1,70,1,64,1,65,1,81,1,
87,1,79,1,75,1,80,1,86,1,94,1,103,1,106,1,106,1,112,1,122,1,125,1,122,1,121,1,119,1,115,1,
126,1,149,1,157,1,145,1,133,1,128,1,129,1,137,1,146,1,140,1,131,1,139,1,152,1,148,1,132,1,124,1,
123,1,116,1,109,1,108,1,104,1,92,1,83,1,83,1,85,1,82,1,68,1,49,1,44,1,54,1,53,1,34,1,
14,1,3,1,254,0,250,0,241,0,227,0,215,0,208,0,203,0,202,0,201,0,185,0,160,0,139,0,126,0,123,0,
123,0,113,0,99,0,94,0,97,0,102,0,109,0,108,0,95,0,89,0,99,0,108,0,111,0,114,0,116,0,122,0,
133,0,138,0,138,0,145,0,157,0,165,0,177,0,200,0,223,0,238,0,247,0,0,1,18,1,43,1,64,1,79,1,
96,1,114,1,137,1,164,1,186,1,197,1,211,1,237,1,8,2,30,2,44,2,50,2,55,2,68,2,87,2,103,2,
115,2,125,2,133,2,143,2,158,2,173,2,175,2,169,2,169,2,176,2,177,2,169,2,159,2,153,2,154,2,154,2,
143,2,131,2,121,2,106,2,91,2,83,2,72,2,48,2,26,2,5,2,238,1,220,1,206,1,179,1,142,1,113,1,
87,1,59,1,34,1,7,1,224,0,184,0,147,0,113,0,85,0,54,0,5,0,211,255,172,255,135,255,95,255,64,255,
29,255,229,254,169,254,125,254,89,254,44,254,248,253,197,253,150,253,107,253,63,253,13,253,211,252,154,252,104,252,56,252,
7,252,215,251,164,251,107,251,52,251,1,251,202,250,147,250,95,250,41,250,244,249,202,249,161,249,109,249,54,249,6,249,
221,248,191,248,168,248,136,248,85,248,33,248,1,248,248,247,237,247,207,247,166,247,131,247,108,247,98,247,95,247,80,247,
50,247,26,247,19,247,19,247,14,247,3,247,253,246,7,247,17,247,14,247,11,247,12,247,1,247,251,246,19,247,46,247,
41,247,31,247,47,247,73,247,90,247,107,247,123,247,131,247,143,247,167,247,190,247,208,247,228,247,251,247,26,248,73,248,
117,248,129,248,134,248,173,248,223,248,247,248,9,249,46,249,80,249,108,249,155,249,212,249,247,249,14,250,55,250,115,250,
175,250,221,250,1,251,39,251,81,251,126,251,189,251,10,252,70,252,109,252,159,252,233,252,55,253,117,253,156,253,190,253,
251,253,77,254,151,254,221,254,36,255,91,255,138,255,211,255,46,0,116,0,160,0,204,0,10,1,90,1,172,1,236,1,
31,2,83,2,148,2,225,2,49,3,115,3,163,3,212,3,19,4,91,4,159,4,215,4,1,5,44,5,104,5,177,5,
244,5,33,6,62,6,99,6,156,6,222,6,20,7,59,7,92,7,129,7,176,7,235,7,34,8,65,8,81,8,109,8,
152,8,195,8,230,8,249,8,5,9,35,9,80,9,110,9,123,9,136,9,147,9,158,9,176,9,195,9,207,9,218,9,
222,9,214,9,213,9,223,9,223,9,215,9,211,9,203,9,194,9,189,9,171,9,137,9,124,9,127,9,104,9,59,9,
29,9,10,9,237,8,202,8,168,8,128,8,85,8,51,8,19,8,232,7,186,7,153,7,113,7,45,7,233,6,196,6,
163,6,108,6,53,6,13,6,221,5,159,5,101,5,50,5,251,4,193,4,139,4,89,4,35,4,229,3,170,3,126,3,
86,3,32,3,226,2,169,2,118,2,67,2,18,2,223,1,160,1,94,1,42,1,2,1,217,0,171,0,126,0,75,0,
21,0,226,255,171,255,108,255,54,255,13,255,233,254,196,254,150,254,92,254,40,254,4,254,223,253,173,253,122,253,70,253,
18,253,233,252,203,252,167,252,122,252,79,252,40,252,5,252,226,251,183,251,138,251,101,251,71,251,44,251,19,251,243,250,
205,250,172,250,145,250,123,250,110,250,93,250,64,250,44,250,34,250,10,250,241,249,242,249,247,249,233,249,223,249,228,249,
227,249,220,249,221,249,232,249,246,249,255,249,253,249,0,250,19,250,42,250,62,250,93,250,127,250,143,250,152,250,174,250,
204,250,233,250,9,251,41,251,68,251,101,251,144,251,187,251,220,251,254,251,44,252,95,252,137,252,167,252,198,252,242,252,
37,253,83,253,128,253,179,253,228,253,18,254,65,254,107,254,151,254,213,254,19,255,53,255,86,255,145,255,200,255,234,255,
23,0,82,0,135,0,185,0,239,0,30,1,68,1,110,1,154,1,201,1,253,1,40,2,74,2,116,2,162,2,204,2,
249,2,37,3,64,3,90,3,134,3,186,3,231,3,6,4,25,4,47,4,86,4,129,4,162,4,185,4,200,4,217,4,
252,4,39,5,64,5,73,5,80,5,93,5,123,5,163,5,179,5,168,5,170,5,201,5,229,5,239,5,249,5,5,6,
7,6,8,6,28,6,54,6,62,6,51,6,40,6,45,6,65,6,82,6,74,6,53,6,47,6,58,6,65,6,61,6,
53,6,44,6,36,6,32,6,29,6,27,6,20,6,8,6,1,6,252,5,241,5,229,5,225,5,216,5,195,5,177,5,
163,5,137,5,112,5,99,5,88,5,68,5,42,5,15,5,251,4,238,4,218,4,180,4,142,4,116,4,100,4,77,4,
37,4,243,3,211,3,196,3,170,3,127,3,85,3,47,3,3,3,217,2,186,2,150,2,98,2,48,2,16,2,240,1,
196,1,152,1,110,1,57,1,7,1,230,0,198,0,154,0,110,0,64,0,13,0,234,255,210,255,163,255,106,255,67,255,
32,255,241,254,203,254,180,254,143,254,94,254,57,254,26,254,243,253,208,253,179,253,138,253,87,253,54,253,41,253,18,253,
234,252,198,252,173,252,150,252,128,252,103,252,67,252,36,252,24,252,10,252,239,251,214,251,189,251,158,251,140,251,139,251,
122,251,86,251,65,251,64,251,54,251,31,251,12,251,255,250,239,250,227,250,220,250,207,250,188,250,173,250,165,250,162,250,
163,250,161,250,151,250,142,250,137,250,129,250,119,250,112,250,97,250,82,250,88,250,105,250,106,250,100,250,99,250,94,250,
91,250,99,250,104,250,95,250,89,250,91,250,88,250,90,250,100,250,104,250,101,250,110,250,126,250,135,250,141,250,147,250,
146,250,142,250,152,250,169,250,179,250,183,250,197,250,219,250,236,250,249,250,9,251,20,251,33,251,62,251,91,251,102,251,
110,251,128,251,147,251,172,251,209,251,237,251,249,251,16,252,53,252,80,252,97,252,119,252,145,252,167,252,194,252,231,252,
15,253,46,253,71,253,98,253,132,253,166,253,196,253,227,253,8,254,47,254,80,254,107,254,140,254,184,254,229,254,11,255,
42,255,68,255,101,255,142,255,180,255,207,255,235,255,15,0,51,0,84,0,120,0,155,0,183,0,208,0,236,0,13,1,
49,1,84,1,112,1,133,1,156,1,195,1,237,1,8,2,24,2,42,2,63,2,94,2,134,2,157,2,158,2,174,2,
209,2,233,2,250,2,19,3,39,3,46,3,58,3,82,3,107,3,130,3,140,3,138,3,146,3,168,3,188,3,203,3,
215,3,221,3,229,3,241,3,245,3,246,3,251,3,253,3,255,3,15,4,34,4,39,4,39,4,37,4,28,4,25,4,
36,4,43,4,40,4,38,4,31,4,24,4,31,4,41,4,33,4,15,4,2,4,245,3,238,3,239,3,227,3,200,3,
182,3,178,3,165,3,148,3,142,3,135,3,111,3,89,3,80,3,66,3,42,3,20,3,246,2,201,2,165,2,151,2,
138,2,111,2,79,2,49,2,19,2,243,1,211,1,175,1,129,1,77,1,36,1,9,1,240,0,212,0,181,0,130,0,
71,0,45,0,32,0,226,255,134,255,78,255,49,255,3,255,202,254,149,254,88,254,12,254,191,253,125,253,79,253,30,253,
204,252,106,252,37,252,249,251,202,251,147,251,81,251,254,250,173,250,119,250,82,250,32,250,212,249,131,249,70,249,28,249,
248,248,209,248,150,248,71,248,13,248,254,247,244,247,204,247,148,247,91,247,43,247,29,247,47,247,38,247,247,246,219,246,
228,246,243,246,0,247,14,247,1,247,224,246,231,246,29,247,74,247,89,247,97,247,116,247,157,247,222,247,18,248,39,248,
65,248,117,248,169,248,224,248,34,249,85,249,110,249,156,249,234,249,51,250,108,250,167,250,226,250,24,251,89,251,166,251,
229,251,18,252,63,252,121,252,188,252,4,253,70,253,114,253,151,253,210,253,26,254,81,254,129,254,191,254,247,254,38,255,
96,255,154,255,191,255,234,255,41,0,89,0,115,0,153,0,199,0,241,0,33,1,78,1,104,1,135,1,189,1,235,1,
7,2,51,2,104,2,126,2,137,2,180,2,239,2,18,3,43,3,81,3,121,3,159,3,204,3,242,3,2,4,25,4,
70,4,107,4,132,4,174,4,221,4,240,4,252,4,34,5,77,5,101,5,128,5,163,5,189,5,209,5,242,5,23,6,
44,6,60,6,86,6,117,6,144,6,173,6,199,6,213,6,224,6,245,6,13,7,32,7,48,7,58,7,63,7,76,7,
100,7,120,7,133,7,141,7,144,7,146,7,155,7,167,7,174,7,177,7,179,7,175,7,167,7,164,7,172,7,174,7,
157,7,140,7,145,7,148,7,133,7,115,7,96,7,58,7,23,7,18,7,20,7,255,6,219,6,186,6,160,6,139,6,
112,6,70,6,29,6,255,5,221,5,178,5,135,5,94,5,46,5,254,4,220,4,191,4,146,4,86,4,31,4,241,3,
195,3,151,3,112,3,66,3,12,3,219,2,180,2,141,2,99,2,47,2,250,1,212,1,182,1,143,1,102,1,68,1,
29,1,245,0,217,0,191,0,150,0,109,0,80,0,54,0,29,0,14,0,1,0,225,255,184,255,165,255,166,255,154,255,
125,255,100,255,79,255,57,255,50,255,50,255,29,255,5,255,6,255,10,255,249,254,234,254,227,254,213,254,200,254,203,254,
207,254,193,254,171,254,157,254,154,254,154,254,148,254,139,254,130,254,118,254,105,254,96,254,86,254,70,254,58,254,52,254,
46,254,39,254,31,254,23,254,19,254,13,254,252,253,235,253,231,253,228,253,210,253,186,253,172,253,168,253,163,253,149,253,
131,253,123,253,120,253,113,253,105,253,96,253,81,253,64,253,55,253,51,253,47,253,35,253,16,253,9,253,17,253,20,253,
11,253,0,253,241,252,229,252,235,252,245,252,233,252,214,252,209,252,214,252,226,252,238,252,229,252,207,252,205,252,220,252,
223,252,217,252,214,252,209,252,203,252,212,252,225,252,222,252,210,252,208,252,218,252,230,252,236,252,229,252,219,252,221,252,
238,252,252,252,249,252,240,252,241,252,252,252,8,253,23,253,38,253,42,253,37,253,40,253,52,253,63,253,76,253,92,253,
100,253,106,253,125,253,146,253,148,253,144,253,157,253,177,253,186,253,187,253,189,253,201,253,224,253,241,253,244,253,248,253,
0,254,4,254,14,254,38,254,57,254,66,254,79,254,89,254,93,254,109,254,130,254,132,254,131,254,153,254,175,254,178,254,
182,254,196,254,208,254,216,254,230,254,244,254,252,254,1,255,4,255,14,255,30,255,39,255,46,255,65,255,86,255,88,255,
84,255,97,255,113,255,113,255,122,255,153,255,173,255,171,255,180,255,211,255,229,255,228,255,235,255,251,255,5,0,15,0,
38,0,61,0,70,0,81,0,105,0,126,0,134,0,142,0,155,0,161,0,169,0,196,0,223,0,230,0,233,0,250,0,
15,1,30,1,43,1,53,1,62,1,76,1,91,1,102,1,119,1,135,1,138,1,142,1,160,1,180,1,191,1,195,1,
197,1,207,1,225,1,231,1,226,1,235,1,252,1,0,2,1,2,12,2,21,2,20,2,25,2,35,2,36,2,33,2,
39,2,50,2,51,2,43,2,40,2,48,2,58,2,61,2,62,2,61,2,58,2,62,2,68,2,68,2,61,2,52,2,
43,2,37,2,39,2,42,2,40,2,34,2,35,2,39,2,37,2,21,2,2,2,248,1,250,1,253,1,250,1,244,1,
240,1,235,1,227,1,224,1,229,1,227,1,211,1,199,1,200,1,200,1,195,1,191,1,182,1,168,1,162,1,166,1,
165,1,155,1,151,1,155,1,152,1,142,1,136,1,127,1,107,1,95,1,99,1,101,1,97,1,101,1,101,1,87,1,
84,1,96,1,89,1,68,1,61,1,64,1,65,1,70,1,70,1,56,1,49,1,58,1,65,1,65,1,62,1,49,1,
32,1,25,1,18,1,2,1,244,0,241,0,241,0,235,0,224,0,219,0,219,0,207,0,184,0,170,0,160,0,142,0,
133,0,137,0,120,0,83,0,61,0,54,0,43,0,26,0,3,0,232,255,211,255,193,255,170,255,154,255,144,255,115,255,
79,255,69,255,73,255,52,255,16,255,246,254,227,254,205,254,192,254,182,254,159,254,126,254,104,254,94,254,81,254,65,254,
53,254,35,254,9,254,245,253,235,253,231,253,230,253,218,253,192,253,177,253,186,253,193,253,188,253,179,253,165,253,149,253,
150,253,165,253,170,253,168,253,168,253,164,253,162,253,178,253,204,253,210,253,197,253,191,253,209,253,238,253,0,254,5,254,
12,254,24,254,44,254,74,254,104,254,121,254,131,254,138,254,145,254,172,254,220,254,247,254,248,254,6,255,40,255,69,255,
97,255,131,255,149,255,158,255,190,255,233,255,252,255,5,0,28,0,58,0,89,0,123,0,150,0,166,0,186,0,220,0,
4,1,37,1,57,1,62,1,66,1,92,1,133,1,164,1,178,1,196,1,231,1,10,2,32,2,52,2,71,2,81,2,
90,2,111,2,133,2,143,2,151,2,167,2,189,2,214,2,238,2,249,2,244,2,242,2,250,2,6,3,14,3,18,3,
23,3,29,3,40,3,52,3,59,3,60,3,59,3,53,3,44,3,47,3,59,3,61,3,49,3,42,3,42,3,41,3,
42,3,43,3,30,3,12,3,9,3,5,3,246,2,235,2,225,2,204,2,186,2,182,2,172,2,147,2,122,2,106,2,
99,2,92,2,63,2,17,2,248,1,248,1,235,1,202,1,174,1,148,1,109,1,67,1,44,1,30,1,248,0,191,0,
149,0,124,0,91,0,52,0,20,0,235,255,178,255,139,255,121,255,86,255,27,255,228,254,181,254,133,254,88,254,42,254,
246,253,200,253,160,253,110,253,55,253,9,253,210,252,140,252,87,252,55,252,15,252,217,251,170,251,127,251,78,251,42,251,
15,251,222,250,150,250,93,250,60,250,28,250,249,249,214,249,167,249,119,249,89,249,63,249,24,249,241,248,206,248,169,248,
146,248,139,248,113,248,65,248,43,248,54,248,51,248,30,248,24,248,26,248,3,248,228,247,226,247,236,247,225,247,203,247,
202,247,217,247,228,247,234,247,239,247,247,247,4,248,14,248,15,248,18,248,32,248,50,248,73,248,107,248,134,248,145,248,
168,248,217,248,7,249,32,249,56,249,89,249,119,249,148,249,189,249,233,249,11,250,44,250,88,250,133,250,173,250,218,250,
5,251,38,251,74,251,127,251,183,251,227,251,8,252,50,252,104,252,170,252,227,252,10,253,50,253,101,253,153,253,207,253,
12,254,63,254,98,254,140,254,196,254,2,255,65,255,123,255,163,255,195,255,237,255,28,0,75,0,125,0,176,0,220,0,
0,1,39,1,90,1,140,1,179,1,218,1,2,2,31,2,57,2,100,2,156,2,205,2,245,2,22,3,47,3,77,3,
127,3,176,3,199,3,209,3,232,3,12,4,47,4,80,4,109,4,127,4,144,4,180,4,223,4,247,4,3,5,21,5,
38,5,56,5,86,5,109,5,110,5,121,5,155,5,177,5,186,5,214,5,246,5,253,5,2,6,26,6,41,6,35,6,
35,6,56,6,81,6,89,6,81,6,79,6,89,6,96,6,104,6,119,6,116,6,93,6,85,6,103,6,111,6,100,6,
89,6,83,6,78,6,79,6,77,6,64,6,49,6,38,6,33,6,27,6,10,6,242,5,231,5,225,5,208,5,184,5,
162,5,133,5,106,5,96,5,89,5,70,5,47,5,20,5,237,4,213,4,212,4,196,4,153,4,116,4,99,4,83,4,
62,4,44,4,17,4,234,3,201,3,185,3,171,3,140,3,96,3,58,3,33,3,7,3,230,2,196,2,169,2,146,2,
117,2,85,2,60,2,38,2,5,2,221,1,189,1,165,1,140,1,109,1,73,1,41,1,18,1,252,0,218,0,180,0,
150,0,127,0,109,0,86,0,48,0,7,0,243,255,234,255,210,255,170,255,128,255,95,255,77,255,64,255,41,255,13,255,
247,254,222,254,197,254,183,254,169,254,141,254,115,254,96,254,70,254,40,254,17,254,253,253,230,253,215,253,213,253,206,253,
181,253,150,253,135,253,133,253,117,253,87,253,67,253,58,253,46,253,38,253,35,253,20,253,253,252,248,252,253,252,243,252,
222,252,209,252,202,252,190,252,177,252,175,252,175,252,165,252,157,252,167,252,178,252,172,252,166,252,174,252,178,252,168,252,
167,252,181,252,189,252,187,252,192,252,206,252,219,252,230,252,245,252,253,252,249,252,249,252,16,253,40,253,44,253,45,253,
67,253,98,253,121,253,140,253,156,253,169,253,188,253,217,253,250,253,20,254,31,254,39,254,64,254,101,254,135,254,166,254,
193,254,205,254,217,254,252,254,36,255,58,255,75,255,98,255,112,255,127,255,155,255,184,255,210,255,240,255,10,0,23,0,
38,0,66,0,92,0,113,0,136,0,158,0,173,0,191,0,216,0,235,0,250,0,20,1,53,1,73,1,81,1,90,1,
103,1,117,1,134,1,146,1,147,1,145,1,154,1,175,1,195,1,210,1,222,1,234,1,249,1,4,2,3,2,248,1,
242,1,0,2,20,2,25,2,17,2,21,2,43,2,58,2,57,2,54,2,56,2,55,2,52,2,59,2,66,2,57,2,
43,2,51,2,69,2,69,2,57,2,55,2,50,2,39,2,41,2,51,2,38,2,12,2,11,2,26,2,30,2,22,2,
14,2,5,2,4,2,15,2,17,2,253,1,232,1,227,1,222,1,212,1,208,1,208,1,199,1,189,1,190,1,192,1,
184,1,173,1,159,1,140,1,128,1,128,1,122,1,98,1,76,1,67,1,66,1,65,1,57,1,39,1,21,1,6,1,
249,0,234,0,212,0,182,0,161,0,157,0,152,0,138,0,117,0,85,0,51,0,45,0,54,0,36,0,248,255,216,255,
204,255,194,255,177,255,145,255,107,255,83,255,78,255,72,255,51,255,20,255,245,254,222,254,204,254,186,254,164,254,137,254,
105,254,87,254,88,254,85,254,61,254,34,254,19,254,5,254,247,253,234,253,216,253,192,253,173,253,165,253,161,253,154,253,
139,253,127,253,128,253,133,253,127,253,114,253,102,253,94,253,88,253,80,253,72,253,64,253,56,253,51,253,61,253,79,253,
88,253,91,253,100,253,106,253,102,253,107,253,125,253,136,253,136,253,142,253,161,253,176,253,181,253,191,253,215,253,235,253,
241,253,248,253,6,254,11,254,24,254,61,254,92,254,96,254,99,254,127,254,163,254,188,254,200,254,211,254,237,254,17,255,
42,255,59,255,81,255,95,255,108,255,144,255,188,255,206,255,210,255,232,255,7,0,31,0,49,0,67,0,90,0,120,0,
147,0,170,0,195,0,214,0,221,0,238,0,22,1,62,1,81,1,85,1,93,1,114,1,145,1,176,1,195,1,204,1,
214,1,235,1,10,2,34,2,47,2,60,2,80,2,102,2,125,2,144,2,159,2,173,2,186,2,194,2,210,2,237,2,
252,2,0,3,20,3,57,3,81,3,83,3,80,3,92,3,126,3,162,3,175,3,171,3,171,3,185,3,214,3,247,3,
7,4,3,4,2,4,20,4,53,4,83,4,92,4,80,4,75,4,99,4,136,4,151,4,131,4,108,4,120,4,154,4,
170,4,166,4,162,4,152,4,145,4,160,4,179,4,171,4,154,4,146,4,129,4,109,4,114,4,122,4,98,4,60,4,
43,4,41,4,28,4,250,3,204,3,171,3,159,3,150,3,124,3,84,3,40,3,0,3,223,2,200,2,180,2,148,2,
95,2,38,2,254,1,231,1,201,1,152,1,96,1,47,1,13,1,242,0,207,0,156,0,100,0,59,0,31,0,250,255,
198,255,151,255,122,255,97,255,65,255,17,255,206,254,139,254,110,254,110,254,81,254,7,254,187,253,150,253,150,253,168,253,
173,253,135,253,54,253,231,252,191,252,175,252,148,252,104,252,54,252,253,251,210,251,214,251,247,251,247,251,188,251,106,251,
34,251,245,250,227,250,204,250,146,250,82,250,52,250,44,250,26,250,255,249,223,249,170,249,99,249,42,249,6,249,218,248,
149,248,83,248,44,248,19,248,237,247,177,247,108,247,50,247,14,247,246,246,209,246,149,246,82,246,28,246,254,245,244,245,
230,245,198,245,157,245,127,245,113,245,105,245,93,245,72,245,46,245,22,245,254,244,225,244,214,244,237,244,4,245,250,244,
240,244,3,245,25,245,32,245,49,245,86,245,125,245,165,245,207,245,240,245,17,246,76,246,159,246,238,246,45,247,97,247,
149,247,217,247,47,248,131,248,194,248,242,248,37,249,113,249,214,249,58,250,131,250,187,250,254,250,83,251,175,251,10,252,
86,252,140,252,194,252,23,253,130,253,225,253,47,254,124,254,198,254,16,255,103,255,192,255,253,255,40,0,93,0,160,0,
233,0,48,1,100,1,134,1,181,1,251,1,56,2,95,2,129,2,167,2,198,2,231,2,30,3,92,3,125,3,132,3,
155,3,209,3,15,4,65,4,86,4,78,4,83,4,134,4,193,4,214,4,220,4,246,4,23,5,46,5,67,5,91,5,
118,5,138,5,144,5,152,5,178,5,197,5,194,5,199,5,228,5,251,5,8,6,35,6,72,6,94,6,107,6,118,6,
122,6,122,6,128,6,147,6,169,6,187,6,201,6,214,6,223,6,233,6,253,6,14,7,7,7,248,6,250,6,1,7,
253,6,253,6,5,7,7,7,5,7,9,7,13,7,9,7,2,7,255,6,249,6,237,6,222,6,213,6,206,6,192,6,
176,6,169,6,169,6,164,6,145,6,114,6,88,6,67,6,34,6,248,5,223,5,211,5,187,5,156,5,127,5,94,5,
63,5,46,5,21,5,232,4,195,4,171,4,133,4,82,4,39,4,12,4,245,3,217,3,175,3,129,3,90,3,53,3,
13,3,234,2,195,2,145,2,102,2,71,2,40,2,0,2,216,1,178,1,144,1,115,1,91,1,67,1,38,1,3,1,
229,0,205,0,174,0,142,0,125,0,111,0,81,0,58,0,49,0,27,0,253,255,242,255,239,255,220,255,201,255,192,255,
174,255,149,255,134,255,127,255,121,255,118,255,114,255,105,255,104,255,116,255,121,255,109,255,96,255,94,255,90,255,80,255,
82,255,85,255,73,255,62,255,76,255,96,255,101,255,102,255,106,255,101,255,91,255,87,255,82,255,75,255,68,255,66,255,
77,255,101,255,115,255,115,255,123,255,142,255,146,255,136,255,136,255,147,255,154,255,151,255,148,255,163,255,193,255,220,255,
231,255,237,255,244,255,255,255,19,0,31,0,24,0,18,0,32,0,54,0,70,0,84,0,96,0,105,0,124,0,157,0,
184,0,188,0,178,0,175,0,191,0,215,0,233,0,239,0,241,0,242,0,250,0,11,1,27,1,35,1,38,1,41,1,
42,1,42,1,37,1,29,1,26,1,36,1,50,1,53,1,42,1,27,1,17,1,11,1,7,1,4,1,253,0,231,0,
204,0,193,0,196,0,191,0,166,0,139,0,122,0,109,0,92,0,77,0,60,0,25,0,237,255,213,255,215,255,215,255,
191,255,151,255,118,255,103,255,94,255,70,255,38,255,14,255,248,254,220,254,197,254,177,254,150,254,127,254,119,254,105,254,
75,254,42,254,14,254,243,253,227,253,219,253,197,253,160,253,137,253,131,253,122,253,104,253,85,253,61,253,34,253,17,253,
12,253,253,252,228,252,207,252,198,252,193,252,190,252,186,252,173,252,148,252,121,252,105,252,99,252,98,252,98,252,99,252,
101,252,100,252,96,252,87,252,65,252,41,252,30,252,30,252,28,252,26,252,28,252,38,252,56,252,75,252,88,252,94,252,
95,252,80,252,51,252,32,252,31,252,32,252,33,252,47,252,75,252,106,252,129,252,139,252,137,252,134,252,134,252,132,252,
123,252,112,252,109,252,124,252,143,252,152,252,160,252,177,252,196,252,206,252,209,252,211,252,212,252,206,252,196,252,197,252,
213,252,225,252,229,252,244,252,11,253,24,253,32,253,50,253,62,253,52,253,45,253,62,253,80,253,78,253,78,253,102,253,
131,253,143,253,147,253,158,253,170,253,175,253,182,253,199,253,210,253,208,253,206,253,222,253,250,253,14,254,23,254,38,254,
57,254,66,254,78,254,104,254,121,254,118,254,123,254,143,254,159,254,176,254,202,254,218,254,225,254,250,254,30,255,49,255,
52,255,54,255,58,255,75,255,105,255,132,255,147,255,166,255,193,255,224,255,255,255,24,0,34,0,34,0,44,0,76,0,
113,0,134,0,151,0,179,0,210,0,240,0,29,1,74,1,88,1,90,1,119,1,163,1,189,1,200,1,221,1,255,1,
40,2,73,2,89,2,103,2,123,2,150,2,188,2,233,2,5,3,12,3,23,3,48,3,71,3,90,3,118,3,151,3,
175,3,190,3,208,3,224,3,235,3,253,3,25,4,40,4,38,4,47,4,66,4,71,4,71,4,86,4,97,4,91,4,
95,4,110,4,114,4,108,4,106,4,103,4,95,4,95,4,100,4,102,4,97,4,88,4,80,4,79,4,81,4,77,4,
63,4,40,4,25,4,26,4,26,4,12,4,1,4,0,4,243,3,220,3,214,3,215,3,200,3,171,3,146,3,134,3,
130,3,123,3,106,3,88,3,78,3,62,3,38,3,14,3,249,2,239,2,241,2,231,2,197,2,167,2,162,2,162,2,
145,2,119,2,92,2,65,2,48,2,47,2,39,2,5,2,228,1,218,1,212,1,185,1,156,1,140,1,119,1,91,1,
73,1,55,1,24,1,251,0,232,0,208,0,183,0,169,0,156,0,132,0,106,0,86,0,64,0,44,0,28,0,8,0,
239,255,212,255,183,255,154,255,136,255,130,255,118,255,88,255,57,255,43,255,34,255,14,255,244,254,219,254,191,254,172,254,
165,254,152,254,129,254,111,254,96,254,73,254,59,254,53,254,30,254,2,254,3,254,10,254,238,253,206,253,207,253,213,253,
191,253,166,253,163,253,163,253,151,253,142,253,144,253,142,253,128,253,113,253,112,253,117,253,116,253,113,253,117,253,116,253,
102,253,97,253,120,253,148,253,148,253,138,253,143,253,155,253,159,253,167,253,177,253,179,253,181,253,204,253,234,253,250,253,
255,253,11,254,31,254,48,254,59,254,76,254,103,254,125,254,134,254,145,254,166,254,185,254,196,254,219,254,5,255,40,255,
49,255,48,255,69,255,105,255,125,255,133,255,152,255,182,255,211,255,245,255,27,0,55,0,73,0,92,0,113,0,137,0,
169,0,200,0,223,0,248,0,28,1,61,1,81,1,99,1,129,1,165,1,197,1,223,1,244,1,7,2,30,2,61,2,
92,2,117,2,140,2,165,2,187,2,213,2,251,2,35,3,54,3,54,3,64,3,95,3,133,3,157,3,171,3,186,3,
200,3,217,3,240,3,0,4,4,4,11,4,31,4,50,4,55,4,53,4,51,4,59,4,74,4,83,4,83,4,81,4,
76,4,68,4,72,4,78,4,68,4,52,4,47,4,39,4,17,4,252,3,233,3,220,3,222,3,218,3,182,3,140,3,
119,3,101,3,76,3,61,3,44,3,10,3,239,2,236,2,222,2,173,2,123,2,97,2,77,2,48,2,26,2,12,2,
238,1,192,1,166,1,157,1,128,1,78,1,44,1,31,1,10,1,230,0,198,0,168,0,123,0,76,0,60,0,76,0,
78,0,36,0,228,255,171,255,136,255,133,255,149,255,134,255,66,255,253,254,230,254,242,254,253,254,237,254,190,254,127,254,
77,254,66,254,81,254,74,254,15,254,194,253,143,253,126,253,125,253,117,253,94,253,60,253,26,253,248,252,224,252,213,252,
187,252,133,252,78,252,43,252,18,252,255,251,244,251,222,251,192,251,178,251,172,251,150,251,112,251,65,251,14,251,233,250,
219,250,199,250,159,250,124,250,114,250,128,250,150,250,148,250,113,250,75,250,61,250,61,250,56,250,28,250,236,249,205,249,
207,249,216,249,209,249,198,249,191,249,188,249,202,249,221,249,211,249,175,249,160,249,183,249,208,249,211,249,204,249,196,249,
192,249,217,249,22,250,63,250,48,250,17,250,24,250,61,250,94,250,107,250,102,250,89,250,93,250,123,250,170,250,212,250,
228,250,221,250,231,250,22,251,72,251,91,251,87,251,85,251,103,251,146,251,194,251,220,251,223,251,231,251,12,252,68,252,
112,252,126,252,130,252,143,252,173,252,218,252,7,253,26,253,30,253,57,253,109,253,156,253,184,253,197,253,208,253,235,253,
30,254,74,254,92,254,97,254,115,254,155,254,204,254,240,254,3,255,27,255,61,255,95,255,124,255,147,255,163,255,189,255,
233,255,13,0,25,0,32,0,55,0,92,0,140,0,183,0,197,0,190,0,196,0,227,0,12,1,48,1,72,1,81,1,
90,1,114,1,154,1,188,1,202,1,207,1,225,1,254,1,21,2,36,2,57,2,81,2,97,2,121,2,160,2,186,2,
187,2,199,2,241,2,18,3,20,3,22,3,41,3,60,3,84,3,123,3,156,3,164,3,167,3,187,3,220,3,249,3,
8,4,7,4,7,4,23,4,50,4,71,4,82,4,92,4,105,4,127,4,149,4,159,4,156,4,152,4,160,4,180,4,
196,4,195,4,190,4,197,4,209,4,213,4,215,4,223,4,224,4,210,4,200,4,207,4,213,4,206,4,198,4,199,4,
193,4,177,4,170,4,173,4,168,4,157,4,152,4,139,4,110,4,88,4,87,4,78,4,52,4,33,4,29,4,17,4,
249,3,230,3,212,3,182,3,153,3,137,3,122,3,99,3,74,3,52,3,24,3,246,2,218,2,205,2,192,2,155,2,
99,2,55,2,33,2,12,2,235,1,195,1,150,1,109,1,76,1,37,1,242,0,196,0,161,0,125,0,87,0,52,0,
11,0,216,255,171,255,136,255,104,255,69,255,32,255,254,254,225,254,189,254,141,254,96,254,68,254,43,254,3,254,212,253,
172,253,139,253,107,253,76,253,53,253,31,253,251,252,212,252,188,252,173,252,149,252,120,252,97,252,79,252,67,252,59,252,
41,252,17,252,6,252,9,252,4,252,244,251,232,251,233,251,235,251,226,251,219,251,220,251,219,251,213,251,215,251,220,251,
216,251,212,251,219,251,225,251,231,251,243,251,0,252,12,252,27,252,36,252,35,252,44,252,67,252,78,252,77,252,89,252,
112,252,130,252,150,252,177,252,194,252,199,252,214,252,250,252,24,253,29,253,31,253,55,253,85,253,103,253,118,253,132,253,
141,253,164,253,207,253,239,253,249,253,8,254,32,254,54,254,78,254,105,254,124,254,140,254,165,254,197,254,229,254,1,255,
22,255,46,255,78,255,109,255,136,255,166,255,190,255,202,255,222,255,252,255,22,0,47,0,81,0,114,0,143,0,176,0,
204,0,225,0,244,0,13,1,40,1,70,1,103,1,136,1,163,1,174,1,188,1,230,1,23,2,44,2,54,2,81,2,
108,2,125,2,148,2,179,2,200,2,213,2,236,2,9,3,38,3,55,3,65,3,81,3,111,3,142,3,164,3,179,3,
191,3,201,3,211,3,224,3,246,3,17,4,31,4,35,4,55,4,85,4,99,4,104,4,111,4,114,4,114,4,122,4,
132,4,135,4,136,4,137,4,142,4,156,4,172,4,179,4,178,4,172,4,166,4,174,4,185,4,174,4,153,4,149,4,
159,4,160,4,150,4,145,4,148,4,147,4,133,4,119,4,111,4,94,4,70,4,62,4,61,4,39,4,12,4,4,4,
255,3,237,3,221,3,210,3,193,3,170,3,146,3,123,3,111,3,107,3,90,3,58,3,26,3,3,3,250,2,245,2,
223,2,187,2,161,2,144,2,119,2,97,2,85,2,66,2,36,2,10,2,243,1,221,1,205,1,183,1,152,1,125,1,
115,1,107,1,88,1,60,1,34,1,10,1,244,0,225,0,208,0,189,0,169,0,153,0,133,0,100,0,73,0,66,0,
62,0,45,0,24,0,6,0,242,255,218,255,194,255,173,255,158,255,143,255,118,255,94,255,88,255,86,255,72,255,52,255,
36,255,20,255,255,254,237,254,229,254,219,254,201,254,184,254,178,254,169,254,152,254,142,254,142,254,134,254,120,254,108,254,
93,254,73,254,60,254,49,254,35,254,26,254,26,254,21,254,12,254,7,254,1,254,245,253,234,253,231,253,227,253,214,253,
197,253,191,253,196,253,199,253,197,253,198,253,194,253,183,253,178,253,184,253,183,253,177,253,174,253,164,253,147,253,142,253,
150,253,155,253,160,253,168,253,166,253,156,253,159,253,171,253,175,253,170,253,165,253,161,253,162,253,169,253,170,253,165,253,
173,253,191,253,199,253,199,253,206,253,213,253,213,253,214,253,220,253,229,253,237,253,239,253,238,253,242,253,4,254,25,254,
41,254,54,254,62,254,67,254,77,254,91,254,99,254,104,254,124,254,148,254,162,254,169,254,183,254,197,254,207,254,223,254,
249,254,13,255,18,255,24,255,43,255,69,255,91,255,108,255,119,255,130,255,149,255,174,255,190,255,199,255,211,255,230,255,
254,255,26,0,46,0,52,0,55,0,72,0,93,0,107,0,121,0,141,0,159,0,171,0,188,0,205,0,208,0,206,0,
220,0,246,0,4,1,5,1,11,1,26,1,39,1,45,1,46,1,50,1,59,1,70,1,84,1,97,1,97,1,86,1,
80,1,89,1,105,1,112,1,106,1,98,1,101,1,110,1,108,1,104,1,109,1,105,1,89,1,89,1,100,1,98,1,
89,1,89,1,87,1,79,1,78,1,72,1,58,1,52,1,56,1,50,1,40,1,40,1,40,1,33,1,29,1,25,1,
11,1,253,0,249,0,249,0,247,0,233,0,205,0,177,0,165,0,166,0,171,0,177,0,179,0,172,0,154,0,125,0,
100,0,89,0,76,0,46,0,13,0,253,255,250,255,251,255,252,255,246,255,226,255,194,255,168,255,158,255,145,255,105,255,
49,255,2,255,228,254,215,254,212,254,197,254,167,254,143,254,136,254,127,254,99,254,54,254,4,254,216,253,181,253,149,253,
116,253,82,253,39,253,251,252,226,252,212,252,181,252,123,252,58,252,4,252,217,251,171,251,120,251,72,251,25,251,239,250,
215,250,195,250,158,250,125,250,120,250,114,250,77,250,30,250,241,249,193,249,155,249,132,249,103,249,65,249,30,249,3,249,
247,248,250,248,250,248,233,248,207,248,175,248,141,248,119,248,106,248,83,248,64,248,68,248,81,248,87,248,91,248,100,248,
118,248,152,248,179,248,177,248,164,248,163,248,177,248,202,248,231,248,248,248,4,249,37,249,90,249,136,249,163,249,183,249,
206,249,237,249,14,250,50,250,88,250,123,250,158,250,206,250,8,251,56,251,97,251,152,251,221,251,32,252,81,252,117,252,
151,252,189,252,229,252,31,253,101,253,152,253,181,253,230,253,50,254,111,254,143,254,169,254,206,254,2,255,61,255,106,255,
133,255,163,255,206,255,2,0,58,0,104,0,134,0,162,0,204,0,0,1,46,1,76,1,94,1,115,1,152,1,200,1,
248,1,25,2,40,2,62,2,106,2,147,2,169,2,191,2,224,2,0,3,32,3,66,3,87,3,104,3,136,3,171,3,
204,3,245,3,28,4,51,4,76,4,113,4,144,4,169,4,204,4,239,4,6,5,31,5,66,5,101,5,132,5,167,5,
205,5,235,5,250,5,10,6,43,6,84,6,114,6,141,6,166,6,180,6,197,6,232,6,11,7,29,7,46,7,76,7,
108,7,131,7,148,7,160,7,168,7,180,7,200,7,224,7,242,7,249,7,244,7,240,7,253,7,22,8,29,8,14,8,
7,8,13,8,9,8,254,7,255,7,253,7,233,7,221,7,226,7,222,7,193,7,164,7,150,7,140,7,123,7,94,7,
64,7,43,7,27,7,7,7,235,6,193,6,142,6,104,6,85,6,61,6,18,6,225,5,185,5,150,5,113,5,76,5,
42,5,2,5,206,4,154,4,112,4,70,4,21,4,232,3,195,3,155,3,114,3,77,3,35,3,242,2,194,2,141,2,
83,2,33,2,246,1,200,1,156,1,121,1,87,1,50,1,16,1,239,0,201,0,160,0,116,0,64,0,17,0,237,255,
202,255,164,255,131,255,106,255,84,255,64,255,38,255,3,255,223,254,194,254,165,254,132,254,100,254,71,254,40,254,8,254,
241,253,224,253,210,253,196,253,179,253,153,253,124,253,98,253,75,253,54,253,37,253,22,253,4,253,239,252,218,252,203,252,
195,252,186,252,167,252,144,252,124,252,107,252,94,252,82,252,59,252,35,252,25,252,21,252,6,252,245,251,237,251,227,251,
209,251,193,251,181,251,171,251,167,251,173,251,171,251,154,251,140,251,141,251,145,251,145,251,149,251,158,251,155,251,139,251,
130,251,136,251,141,251,139,251,147,251,167,251,179,251,174,251,170,251,181,251,202,251,219,251,228,251,236,251,249,251,14,252,
37,252,60,252,82,252,101,252,118,252,140,252,171,252,199,252,216,252,233,252,1,253,26,253,47,253,76,253,117,253,154,253,
176,253,196,253,230,253,12,254,45,254,80,254,113,254,132,254,158,254,206,254,251,254,16,255,41,255,86,255,130,255,166,255,
205,255,240,255,8,0,39,0,76,0,105,0,134,0,165,0,191,0,216,0,248,0,25,1,58,1,92,1,118,1,138,1,
169,1,205,1,227,1,241,1,9,2,38,2,60,2,81,2,109,2,136,2,150,2,155,2,163,2,177,2,196,2,222,2,
245,2,246,2,240,2,254,2,23,3,33,3,32,3,36,3,41,3,49,3,66,3,79,3,77,3,69,3,69,3,73,3,
69,3,68,3,79,3,87,3,78,3,69,3,71,3,65,3,47,3,37,3,35,3,26,3,18,3,17,3,10,3,252,2,
247,2,246,2,238,2,226,2,219,2,213,2,203,2,190,2,179,2,169,2,153,2,133,2,127,2,130,2,118,2,95,2,
78,2,66,2,54,2,39,2,17,2,249,1,233,1,224,1,211,1,197,1,182,1,162,1,143,1,127,1,111,1,102,1,
95,1,72,1,46,1,37,1,21,1,240,0,220,0,218,0,198,0,165,0,147,0,135,0,108,0,79,0,57,0,34,0,
13,0,250,255,225,255,197,255,177,255,164,255,150,255,133,255,113,255,91,255,67,255,45,255,27,255,6,255,232,254,204,254,
188,254,174,254,152,254,129,254,107,254,86,254,67,254,52,254,39,254,25,254,2,254,225,253,201,253,190,253,175,253,154,253,
140,253,130,253,112,253,93,253,83,253,79,253,73,253,59,253,38,253,21,253,9,253,3,253,8,253,7,253,243,252,219,252,
212,252,209,252,202,252,200,252,199,252,189,252,184,252,187,252,188,252,184,252,185,252,188,252,192,252,197,252,199,252,201,252,
209,252,219,252,224,252,229,252,234,252,237,252,247,252,2,253,6,253,8,253,11,253,16,253,29,253,43,253,47,253,56,253,
81,253,92,253,83,253,93,253,125,253,142,253,140,253,146,253,159,253,169,253,181,253,194,253,203,253,212,253,226,253,244,253,
2,254,9,254,15,254,28,254,41,254,48,254,61,254,83,254,94,254,95,254,109,254,133,254,145,254,146,254,155,254,170,254,
182,254,197,254,217,254,233,254,241,254,252,254,10,255,21,255,30,255,41,255,53,255,66,255,87,255,102,255,100,255,105,255,
132,255,155,255,157,255,163,255,181,255,198,255,211,255,226,255,238,255,246,255,0,0,19,0,47,0,69,0,72,0,65,0,
71,0,93,0,117,0,140,0,156,0,159,0,162,0,176,0,196,0,213,0,225,0,235,0,244,0,0,1,14,1,28,1,
37,1,45,1,65,1,90,1,97,1,92,1,107,1,132,1,138,1,136,1,150,1,161,1,156,1,160,1,182,1,198,1,
197,1,194,1,198,1,204,1,208,1,213,1,219,1,218,1,212,1,214,1,220,1,215,1,207,1,216,1,234,1,233,1,
217,1,208,1,206,1,204,1,204,1,202,1,191,1,177,1,174,1,171,1,161,1,153,1,153,1,148,1,129,1,109,1,
101,1,96,1,80,1,59,1,51,1,54,1,45,1,25,1,10,1,1,1,248,0,240,0,232,0,212,0,189,0,183,0,
181,0,166,0,151,0,143,0,127,0,112,0,112,0,108,0,79,0,53,0,52,0,51,0,35,0,21,0,16,0,6,0,
250,255,248,255,250,255,242,255,224,255,209,255,198,255,195,255,196,255,190,255,176,255,165,255,163,255,165,255,164,255,158,255,
144,255,133,255,131,255,133,255,125,255,115,255,111,255,108,255,103,255,102,255,103,255,93,255,81,255,86,255,99,255,96,255,
82,255,79,255,85,255,82,255,79,255,86,255,92,255,87,255,80,255,79,255,81,255,78,255,66,255,58,255,68,255,82,255,
78,255,69,255,75,255,88,255,89,255,88,255,93,255,97,255,94,255,87,255,88,255,100,255,110,255,110,255,116,255,126,255,
127,255,125,255,138,255,151,255,150,255,150,255,158,255,164,255,172,255,186,255,196,255,197,255,198,255,204,255,218,255,237,255,
247,255,249,255,3,0,22,0,32,0,35,0,48,0,64,0,75,0,84,0,94,0,100,0,107,0,126,0,150,0,162,0,
162,0,172,0,197,0,214,0,215,0,223,0,240,0,251,0,0,1,15,1,36,1,42,1,37,1,49,1,81,1,99,1,
93,1,96,1,119,1,130,1,124,1,130,1,143,1,142,1,143,1,159,1,175,1,181,1,186,1,194,1,196,1,195,1,
195,1,200,1,206,1,208,1,205,1,201,1,197,1,194,1,196,1,195,1,191,1,194,1,194,1,179,1,162,1,157,1,
156,1,151,1,146,1,138,1,128,1,126,1,126,1,118,1,111,1,103,1,89,1,73,1,61,1,47,1,41,1,41,1,
31,1,15,1,13,1,8,1,238,0,217,0,216,0,210,0,193,0,182,0,177,0,167,0,154,0,142,0,131,0,120,0,
102,0,84,0,77,0,73,0,57,0,39,0,31,0,28,0,18,0,2,0,243,255,237,255,236,255,226,255,203,255,182,255,
172,255,167,255,155,255,135,255,120,255,119,255,115,255,99,255,81,255,69,255,58,255,50,255,49,255,42,255,24,255,5,255,
249,254,238,254,227,254,219,254,217,254,211,254,194,254,178,254,176,254,172,254,157,254,148,254,143,254,129,254,119,254,123,254,
118,254,102,254,100,254,104,254,91,254,79,254,83,254,83,254,70,254,66,254,75,254,80,254,69,254,58,254,65,254,82,254,
87,254,82,254,81,254,82,254,84,254,94,254,105,254,105,254,99,254,95,254,101,254,118,254,131,254,127,254,127,254,148,254,
161,254,161,254,176,254,204,254,216,254,218,254,228,254,233,254,234,254,247,254,9,255,18,255,33,255,56,255,66,255,67,255,
81,255,104,255,116,255,120,255,132,255,150,255,160,255,163,255,175,255,196,255,212,255,220,255,229,255,244,255,4,0,17,0,
28,0,35,0,41,0,51,0,67,0,85,0,92,0,90,0,92,0,104,0,118,0,127,0,125,0,115,0,117,0,138,0,
157,0,154,0,143,0,142,0,153,0,163,0,162,0,158,0,158,0,159,0,156,0,158,0,164,0,164,0,161,0,161,0,
157,0,153,0,157,0,160,0,149,0,140,0,142,0,141,0,138,0,142,0,142,0,130,0,122,0,126,0,131,0,130,0,
124,0,116,0,110,0,108,0,110,0,117,0,123,0,119,0,107,0,99,0,99,0,103,0,103,0,99,0,95,0,91,0,
87,0,85,0,91,0,96,0,91,0,86,0,92,0,97,0,88,0,75,0,65,0,61,0,63,0,65,0,58,0,53,0,
55,0,51,0,35,0,27,0,29,0,23,0,9,0,2,0,255,255,246,255,240,255,243,255,241,255,226,255,215,255,211,255,
206,255,198,255,192,255,186,255,175,255,158,255,147,255,143,255,137,255,123,255,109,255,100,255,93,255,88,255,84,255,74,255,
57,255,47,255,43,255,34,255,22,255,23,255,28,255,17,255,255,254,249,254,252,254,245,254,234,254,234,254,242,254,239,254,
226,254,222,254,231,254,234,254,221,254,208,254,214,254,222,254,217,254,217,254,231,254,236,254,223,254,222,254,243,254,2,255,
4,255,8,255,16,255,15,255,15,255,30,255,45,255,46,255,44,255,54,255,67,255,71,255,79,255,97,255,109,255,112,255,
124,255,140,255,144,255,140,255,147,255,168,255,192,255,205,255,204,255,204,255,222,255,241,255,244,255,242,255,250,255,4,0,
13,0,27,0,43,0,51,0,51,0,53,0,65,0,80,0,83,0,80,0,86,0,91,0,88,0,94,0,113,0,120,0,
114,0,115,0,124,0,130,0,131,0,132,0,136,0,144,0,151,0,150,0,148,0,149,0,146,0,146,0,155,0,159,0,
154,0,155,0,159,0,148,0,132,0,138,0,159,0,165,0,157,0,156,0,167,0,173,0,172,0,170,0,164,0,150,0,
148,0,161,0,170,0,167,0,167,0,169,0,165,0,166,0,178,0,190,0,186,0,171,0,161,0,166,0,180,0,188,0,
192,0,194,0,194,0,196,0,205,0,216,0,223,0,223,0,215,0,207,0,213,0,225,0,229,0,232,0,244,0,253,0,
250,0,246,0,0,1,16,1,13,1,253,0,2,1,30,1,38,1,22,1,21,1,34,1,33,1,35,1,54,1,64,1,
57,1,58,1,69,1,70,1,67,1,71,1,74,1,75,1,79,1,86,1,83,1,68,1,56,1,68,1,93,1,96,1,
83,1,81,1,86,1,85,1,84,1,87,1,84,1,84,1,92,1,90,1,75,1,68,1,73,1,82,1,90,1,93,1,
87,1,78,1,72,1,67,1,65,1,71,1,77,1,67,1,50,1,45,1,52,1,56,1,51,1,45,1,44,1,52,1,
63,1,61,1,44,1,31,1,31,1,31,1,25,1,18,1,15,1,14,1,18,1,17,1,9,1,5,1,3,1,249,0,
240,0,245,0,245,0,224,0,203,0,198,0,198,0,197,0,197,0,195,0,192,0,187,0,180,0,173,0,170,0,164,0,
150,0,135,0,127,0,129,0,129,0,118,0,99,0,87,0,79,0,71,0,69,0,67,0,54,0,34,0,25,0,22,0,
16,0,10,0,2,0,250,255,247,255,241,255,230,255,222,255,217,255,205,255,194,255,194,255,190,255,174,255,162,255,158,255,
150,255,144,255,145,255,139,255,121,255,106,255,100,255,97,255,93,255,88,255,78,255,68,255,65,255,59,255,43,255,32,255,
37,255,43,255,38,255,33,255,24,255,0,255,233,254,240,254,9,255,14,255,250,254,230,254,224,254,225,254,226,254,225,254,
214,254,197,254,191,254,200,254,205,254,196,254,183,254,176,254,174,254,178,254,186,254,185,254,171,254,159,254,160,254,165,254,
164,254,160,254,154,254,146,254,139,254,135,254,132,254,130,254,129,254,124,254,118,254,118,254,119,254,111,254,104,254,109,254,
116,254,109,254,95,254,88,254,85,254,83,254,83,254,83,254,78,254,70,254,59,254,49,254,49,254,54,254,53,254,40,254,
23,254,7,254,253,253,255,253,1,254,247,253,237,253,237,253,235,253,219,253,202,253,202,253,207,253,200,253,186,253,174,253,
167,253,163,253,162,253,159,253,153,253,142,253,126,253,114,253,117,253,123,253,111,253,96,253,95,253,96,253,90,253,87,253,
82,253,67,253,61,253,66,253,61,253,52,253,58,253,65,253,58,253,52,253,53,253,41,253,30,253,42,253,59,253,53,253,
38,253,37,253,44,253,45,253,50,253,66,253,80,253,75,253,63,253,69,253,85,253,96,253,107,253,119,253,125,253,128,253,
141,253,157,253,167,253,174,253,188,253,208,253,228,253,238,253,243,253,254,253,20,254,43,254,60,254,71,254,83,254,106,254,
133,254,154,254,171,254,187,254,202,254,221,254,253,254,31,255,52,255,65,255,80,255,98,255,121,255,150,255,177,255,200,255,
219,255,237,255,5,0,33,0,55,0,67,0,83,0,109,0,134,0,151,0,162,0,180,0,212,0,245,0,8,1,19,1,
35,1,55,1,77,1,96,1,113,1,130,1,144,1,154,1,171,1,198,1,212,1,217,1,236,1,5,2,17,2,33,2,
52,2,52,2,48,2,77,2,112,2,121,2,120,2,129,2,141,2,156,2,180,2,196,2,196,2,194,2,203,2,226,2,
251,2,4,3,0,3,0,3,8,3,19,3,33,3,38,3,28,3,29,3,50,3,62,3,57,3,60,3,71,3,75,3,
74,3,77,3,77,3,68,3,64,3,72,3,77,3,74,3,79,3,95,3,98,3,81,3,66,3,61,3,56,3,51,3,
46,3,36,3,26,3,19,3,12,3,10,3,10,3,253,2,235,2,232,2,228,2,204,2,184,2,185,2,184,2,171,2,
154,2,129,2,103,2,98,2,99,2,86,2,69,2,55,2,32,2,3,2,238,1,221,1,204,1,186,1,165,1,144,1,
131,1,125,1,109,1,73,1,36,1,23,1,25,1,11,1,239,0,215,0,191,0,163,0,154,0,161,0,148,0,116,0,
96,0,83,0,65,0,48,0,37,0,23,0,8,0,247,255,228,255,214,255,207,255,199,255,187,255,175,255,166,255,164,255,
166,255,157,255,139,255,125,255,113,255,102,255,102,255,113,255,118,255,115,255,113,255,115,255,116,255,116,255,109,255,99,255,
97,255,100,255,102,255,105,255,111,255,117,255,124,255,133,255,145,255,151,255,146,255,146,255,159,255,167,255,166,255,173,255,
184,255,181,255,181,255,202,255,221,255,218,255,217,255,226,255,232,255,237,255,249,255,254,255,255,255,10,0,22,0,20,0,
19,0,36,0,59,0,69,0,62,0,55,0,58,0,67,0,71,0,71,0,76,0,83,0,88,0,91,0,92,0,97,0,
103,0,105,0,103,0,101,0,99,0,97,0,102,0,112,0,118,0,114,0,103,0,99,0,111,0,124,0,117,0,98,0,
86,0,88,0,101,0,113,0,110,0,94,0,85,0,89,0,96,0,98,0,91,0,74,0,60,0,54,0,54,0,64,0,
82,0,84,0,70,0,62,0,59,0,47,0,38,0,46,0,54,0,52,0,51,0,45,0,32,0,24,0,27,0,29,0,
24,0,16,0,255,255,237,255,238,255,252,255,249,255,231,255,219,255,215,255,211,255,215,255,220,255,207,255,177,255,158,255,
156,255,160,255,161,255,153,255,136,255,127,255,131,255,125,255,103,255,84,255,74,255,66,255,61,255,52,255,34,255,22,255,
24,255,25,255,14,255,0,255,243,254,225,254,209,254,201,254,196,254,183,254,163,254,148,254,144,254,149,254,150,254,136,254,
115,254,103,254,99,254,85,254,68,254,62,254,63,254,55,254,41,254,31,254,23,254,16,254,16,254,19,254,11,254,255,253,
246,253,238,253,236,253,246,253,252,253,239,253,227,253,235,253,246,253,243,253,235,253,237,253,240,253,238,253,243,253,251,253,
250,253,250,253,6,254,19,254,22,254,25,254,33,254,42,254,47,254,51,254,57,254,67,254,80,254,91,254,105,254,122,254,
135,254,141,254,151,254,168,254,190,254,209,254,216,254,214,254,215,254,225,254,244,254,18,255,49,255,57,255,54,255,68,255,
97,255,115,255,121,255,126,255,137,255,154,255,171,255,181,255,190,255,204,255,220,255,237,255,1,0,10,0,11,0,26,0,
52,0,66,0,67,0,75,0,87,0,94,0,107,0,127,0,136,0,132,0,143,0,173,0,191,0,187,0,187,0,204,0,
222,0,231,0,234,0,232,0,235,0,248,0,2,1,7,1,19,1,33,1,35,1,33,1,39,1,47,1,56,1,70,1,
80,1,79,1,77,1,83,1,96,1,113,1,122,1,115,1,108,1,112,1,119,1,129,1,143,1,147,1,141,1,143,1,
155,1,164,1,170,1,174,1,169,1,161,1,162,1,168,1,173,1,177,1,184,1,192,1,198,1,200,1,197,1,195,1,
195,1,196,1,196,1,194,1,198,1,208,1,213,1,210,1,205,1,200,1,197,1,205,1,216,1,213,1,208,1,219,1,
225,1,213,1,207,1,217,1,220,1,213,1,212,1,215,1,209,1,200,1,201,1,214,1,227,1,226,1,218,1,217,1,
224,1,229,1,228,1,211,1,189,1,185,1,202,1,213,1,208,1,198,1,191,1,190,1,189,1,186,1,186,1,190,1,
177,1,152,1,145,1,156,1,157,1,146,1,142,1,144,1,146,1,146,1,137,1,121,1,116,1,118,1,115,1,104,1,
87,1,64,1,47,1,46,1,52,1,51,1,36,1,17,1,15,1,28,1,29,1,8,1,235,0,215,0,208,0,209,0,
202,0,185,0,173,0,172,0,166,0,156,0,149,0,142,0,132,0,120,0,107,0,92,0,72,0,47,0,33,0,38,0,
44,0,34,0,17,0,6,0,254,255,247,255,239,255,222,255,205,255,198,255,191,255,176,255,161,255,150,255,143,255,141,255,
132,255,117,255,109,255,102,255,85,255,67,255,56,255,43,255,30,255,23,255,13,255,253,254,243,254,231,254,210,254,199,254,
200,254,186,254,157,254,135,254,121,254,111,254,104,254,88,254,63,254,47,254,40,254,24,254,255,253,238,253,227,253,208,253,
181,253,160,253,145,253,125,253,99,253,78,253,64,253,52,253,41,253,26,253,0,253,223,252,198,252,183,252,171,252,157,252,
133,252,104,252,92,252,91,252,81,252,63,252,45,252,25,252,3,252,246,251,234,251,212,251,193,251,189,251,190,251,182,251,
164,251,146,251,137,251,130,251,125,251,128,251,127,251,107,251,86,251,88,251,99,251,99,251,97,251,96,251,86,251,74,251,
73,251,81,251,93,251,105,251,111,251,108,251,106,251,111,251,123,251,142,251,154,251,156,251,161,251,169,251,171,251,178,251,
204,251,231,251,240,251,245,251,7,252,31,252,44,252,52,252,76,252,118,252,146,252,147,252,149,252,170,252,197,252,221,252,
246,252,12,253,28,253,48,253,86,253,129,253,155,253,166,253,184,253,214,253,246,253,22,254,56,254,81,254,99,254,125,254,
162,254,198,254,230,254,3,255,27,255,51,255,76,255,97,255,125,255,167,255,202,255,220,255,242,255,25,0,59,0,82,0,
109,0,138,0,162,0,184,0,207,0,228,0,2,1,42,1,79,1,103,1,119,1,141,1,172,1,204,1,226,1,237,1,
245,1,8,2,45,2,83,2,102,2,114,2,141,2,173,2,193,2,208,2,228,2,246,2,6,3,21,3,34,3,48,3,
69,3,90,3,104,3,124,3,154,3,176,3,186,3,200,3,219,3,228,3,227,3,232,3,248,3,9,4,22,4,35,4,
47,4,57,4,64,4,65,4,65,4,76,4,89,4,87,4,77,4,79,4,83,4,82,4,85,4,90,4,79,4,62,4,
62,4,67,4,53,4,35,4,31,4,34,4,25,4,7,4,252,3,245,3,226,3,197,3,173,3,156,3,139,3,123,3,
110,3,93,3,69,3,48,3,27,3,255,2,228,2,212,2,195,2,162,2,120,2,89,2,76,2,67,2,44,2,11,2,
236,1,210,1,192,1,180,1,155,1,106,1,60,1,42,1,33,1,9,1,233,0,208,0,187,0,166,0,153,0,140,0,
113,0,79,0,54,0,36,0,14,0,241,255,216,255,204,255,201,255,193,255,174,255,156,255,144,255,129,255,113,255,100,255,
78,255,45,255,24,255,24,255,24,255,16,255,8,255,254,254,237,254,223,254,218,254,216,254,208,254,192,254,170,254,155,254,
155,254,160,254,158,254,153,254,150,254,147,254,144,254,141,254,124,254,100,254,93,254,107,254,116,254,110,254,102,254,101,254,
100,254,103,254,108,254,109,254,105,254,97,254,88,254,85,254,94,254,110,254,118,254,120,254,121,254,125,254,133,254,141,254,
143,254,149,254,163,254,173,254,174,254,176,254,186,254,194,254,198,254,206,254,226,254,250,254,9,255,18,255,33,255,52,255,
57,255,55,255,68,255,91,255,105,255,110,255,125,255,149,255,170,255,187,255,203,255,219,255,230,255,239,255,255,255,17,0,
29,0,40,0,57,0,77,0,99,0,119,0,130,0,138,0,162,0,196,0,216,0,220,0,223,0,235,0,255,0,30,1,
62,1,79,1,82,1,88,1,105,1,126,1,146,1,165,1,173,1,171,1,183,1,214,1,233,1,230,1,232,1,253,1,
14,2,24,2,39,2,51,2,46,2,42,2,56,2,76,2,82,2,75,2,74,2,82,2,89,2,91,2,98,2,107,2,
103,2,95,2,95,2,91,2,78,2,73,2,83,2,87,2,73,2,53,2,42,2,43,2,42,2,37,2,38,2,37,2,
17,2,249,1,246,1,245,1,227,1,212,1,210,1,202,1,184,1,171,1,158,1,141,1,131,1,125,1,109,1,93,1,
86,1,75,1,53,1,36,1,30,1,22,1,6,1,245,0,226,0,199,0,178,0,172,0,169,0,159,0,151,0,140,0,
123,0,112,0,104,0,85,0,65,0,55,0,34,0,255,255,238,255,238,255,226,255,209,255,205,255,204,255,193,255,183,255,
173,255,155,255,135,255,119,255,100,255,81,255,67,255,57,255,53,255,51,255,40,255,27,255,22,255,18,255,8,255,251,254,
235,254,216,254,205,254,197,254,186,254,177,254,168,254,151,254,134,254,136,254,147,254,147,254,141,254,142,254,142,254,126,254,
105,254,99,254,106,254,102,254,88,254,83,254,82,254,79,254,86,254,105,254,115,254,113,254,111,254,106,254,99,254,97,254,
104,254,114,254,122,254,122,254,117,254,124,254,141,254,157,254,170,254,182,254,191,254,202,254,214,254,216,254,215,254,225,254,
243,254,4,255,25,255,47,255,54,255,59,255,82,255,118,255,149,255,163,255,169,255,183,255,203,255,218,255,230,255,250,255,
17,0,38,0,65,0,94,0,120,0,148,0,171,0,180,0,193,0,221,0,245,0,254,0,6,1,22,1,43,1,64,1,
83,1,102,1,125,1,143,1,150,1,160,1,179,1,196,1,208,1,209,1,196,1,186,1,203,1,229,1,239,1,244,1,
255,1,2,2,252,1,253,1,3,2,0,2,247,1,238,1,232,1,225,1,215,1,209,1,211,1,217,1,220,1,211,1,
194,1,178,1,170,1,166,1,161,1,149,1,121,1,92,1,89,1,97,1,88,1,76,1,83,1,86,1,71,1,53,1,
39,1,22,1,8,1,255,0,246,0,243,0,243,0,235,0,229,0,234,0,230,0,211,0,200,0,193,0,178,0,173,0,
179,0,170,0,145,0,127,0,119,0,114,0,119,0,124,0,113,0,98,0,91,0,81,0,62,0,49,0,46,0,30,0,
252,255,225,255,213,255,210,255,213,255,217,255,199,255,162,255,141,255,140,255,127,255,98,255,71,255,42,255,9,255,251,254,
8,255,15,255,245,254,198,254,161,254,156,254,173,254,176,254,150,254,108,254,67,254,44,254,47,254,53,254,40,254,10,254,
228,253,193,253,184,253,201,253,214,253,206,253,180,253,147,253,122,253,115,253,117,253,112,253,92,253,54,253,7,253,240,252,
255,252,27,253,38,253,20,253,238,252,212,252,214,252,219,252,203,252,176,252,158,252,147,252,135,252,119,252,101,252,85,252,
78,252,84,252,90,252,77,252,46,252,20,252,9,252,4,252,2,252,249,251,219,251,180,251,162,251,160,251,160,251,165,251,
172,251,161,251,136,251,121,251,117,251,114,251,110,251,99,251,75,251,55,251,56,251,64,251,63,251,62,251,67,251,64,251,
49,251,45,251,60,251,75,251,73,251,65,251,60,251,59,251,70,251,92,251,107,251,113,251,118,251,119,251,116,251,128,251,
152,251,165,251,167,251,172,251,186,251,206,251,228,251,249,251,15,252,30,252,32,252,36,252,63,252,97,252,112,252,122,252,
141,252,162,252,186,252,224,252,1,253,17,253,33,253,58,253,79,253,99,253,131,253,164,253,186,253,205,253,230,253,6,254,
43,254,82,254,113,254,140,254,176,254,215,254,241,254,2,255,28,255,59,255,93,255,137,255,176,255,198,255,220,255,10,0,
69,0,117,0,147,0,163,0,181,0,221,0,19,1,54,1,68,1,84,1,115,1,160,1,213,1,2,2,27,2,50,2,
82,2,115,2,147,2,186,2,221,2,243,2,10,3,42,3,73,3,105,3,144,3,177,3,192,3,203,3,228,3,2,4,
21,4,33,4,51,4,79,4,108,4,129,4,141,4,151,4,169,4,199,4,226,4,239,4,245,4,4,5,20,5,25,5,
28,5,40,5,49,5,47,5,49,5,67,5,85,5,94,5,98,5,100,5,97,5,91,5,85,5,81,5,79,5,79,5,
73,5,64,5,64,5,66,5,57,5,43,5,39,5,40,5,26,5,0,5,233,4,216,4,203,4,195,4,191,4,174,4,
140,4,111,4,106,4,109,4,96,4,69,4,48,4,33,4,10,4,232,3,202,3,178,3,158,3,147,3,145,3,141,3,
123,3,98,3,78,3,64,3,57,3,44,3,7,3,205,2,159,2,142,2,147,2,158,2,161,2,148,2,136,2,144,2,
146,2,115,2,74,2,53,2,34,2,252,1,219,1,212,1,216,1,221,1,239,1,3,2,252,1,226,1,217,1,220,1,
207,1,167,1,120,1,94,1,97,1,107,1,98,1,86,1,90,1,99,1,102,1,104,1,89,1,45,1,8,1,2,1,
5,1,252,0,232,0,204,0,179,0,177,0,192,0,200,0,196,0,189,0,175,0,148,0,121,0,103,0,91,0,77,0,
54,0,29,0,14,0,10,0,13,0,16,0,13,0,250,255,222,255,204,255,206,255,207,255,189,255,160,255,129,255,100,255,
88,255,103,255,120,255,106,255,67,255,39,255,35,255,44,255,49,255,37,255,10,255,234,254,212,254,213,254,226,254,218,254,
190,254,173,254,169,254,156,254,142,254,139,254,131,254,113,254,104,254,96,254,74,254,58,254,65,254,74,254,69,254,59,254,
41,254,8,254,239,253,239,253,250,253,244,253,221,253,201,253,198,253,203,253,204,253,199,253,191,253,187,253,191,253,192,253,
174,253,151,253,143,253,145,253,145,253,146,253,148,253,137,253,117,253,113,253,133,253,156,253,159,253,145,253,128,253,118,253,
117,253,121,253,118,253,107,253,103,253,117,253,134,253,147,253,155,253,155,253,147,253,141,253,144,253,150,253,158,253,160,253,
154,253,158,253,179,253,194,253,186,253,175,253,175,253,187,253,211,253,234,253,237,253,223,253,212,253,215,253,228,253,241,253,
244,253,237,253,232,253,243,253,13,254,37,254,43,254,39,254,41,254,48,254,56,254,60,254,51,254,33,254,32,254,53,254,
73,254,86,254,100,254,107,254,107,254,117,254,134,254,143,254,149,254,149,254,136,254,123,254,133,254,147,254,149,254,150,254,
165,254,183,254,197,254,211,254,225,254,231,254,229,254,228,254,231,254,231,254,219,254,205,254,207,254,230,254,4,255,24,255,
34,255,45,255,54,255,55,255,57,255,65,255,62,255,51,255,51,255,61,255,65,255,74,255,101,255,128,255,136,255,136,255,
145,255,165,255,179,255,176,255,165,255,161,255,161,255,167,255,193,255,217,255,220,255,225,255,250,255,17,0,26,0,37,0,
48,0,45,0,41,0,46,0,55,0,64,0,77,0,96,0,119,0,139,0,151,0,161,0,173,0,181,0,186,0,199,0,
204,0,198,0,205,0,230,0,250,0,255,0,5,1,20,1,35,1,46,1,53,1,59,1,72,1,87,1,97,1,97,1,
97,1,108,1,126,1,141,1,156,1,168,1,164,1,149,1,148,1,163,1,176,1,189,1,203,1,210,1,214,1,224,1,
234,1,240,1,243,1,234,1,215,1,211,1,226,1,245,1,10,2,32,2,35,2,25,2,30,2,49,2,57,2,51,2,
39,2,34,2,54,2,100,2,151,2,184,2,181,2,148,2,125,2,153,2,210,2,237,2,202,2,127,2,69,2,78,2,
148,2,230,2,20,3,8,3,211,2,163,2,154,2,177,2,205,2,206,2,167,2,116,2,88,2,90,2,110,2,137,2,
158,2,163,2,154,2,137,2,113,2,97,2,99,2,105,2,98,2,74,2,40,2,20,2,28,2,57,2,93,2,120,2,
113,2,65,2,2,2,216,1,211,1,243,1,27,2,21,2,202,1,104,1,66,1,120,1,215,1,13,2,247,1,175,1,
100,1,68,1,90,1,121,1,115,1,68,1,11,1,240,0,9,1,56,1,73,1,58,1,46,1,39,1,23,1,1,1,
223,0,176,0,144,0,153,0,177,0,181,0,160,0,132,0,110,0,113,0,136,0,148,0,119,0,64,0,25,0,27,0,
55,0,78,0,70,0,27,0,233,255,218,255,243,255,12,0,3,0,224,255,193,255,180,255,181,255,183,255,175,255,147,255,
105,255,77,255,77,255,89,255,86,255,64,255,34,255,9,255,252,254,252,254,253,254,240,254,210,254,173,254,147,254,138,254,
140,254,145,254,140,254,114,254,85,254,75,254,71,254,54,254,40,254,41,254,35,254,11,254,239,253,215,253,194,253,186,253,
189,253,185,253,172,253,159,253,144,253,133,253,138,253,150,253,145,253,115,253,77,253,52,253,45,253,54,253,66,253,65,253,
49,253,34,253,32,253,34,253,30,253,19,253,10,253,8,253,7,253,1,253,242,252,229,252,229,252,238,252,246,252,238,252,
217,252,204,252,208,252,219,252,231,252,245,252,254,252,248,252,232,252,221,252,222,252,232,252,243,252,247,252,246,252,246,252,
254,252,11,253,26,253,38,253,45,253,46,253,41,253,35,253,43,253,64,253,84,253,95,253,100,253,100,253,106,253,125,253,
150,253,164,253,164,253,163,253,173,253,191,253,206,253,216,253,230,253,250,253,9,254,13,254,17,254,32,254,53,254,72,254,
86,254,98,254,113,254,133,254,150,254,159,254,169,254,186,254,201,254,209,254,216,254,225,254,238,254,4,255,29,255,45,255,
55,255,65,255,74,255,81,255,90,255,103,255,118,255,135,255,151,255,157,255,153,255,156,255,176,255,203,255,225,255,235,255,
237,255,240,255,254,255,17,0,29,0,28,0,25,0,32,0,47,0,61,0,76,0,93,0,104,0,109,0,114,0,124,0,
133,0,139,0,146,0,156,0,163,0,169,0,180,0,192,0,199,0,207,0,224,0,243,0,252,0,0,1,6,1,9,1,
9,1,12,1,18,1,26,1,36,1,47,1,61,1,80,1,102,1,121,1,133,1,139,1,135,1,125,1,115,1,116,1,
128,1,144,1,153,1,160,1,176,1,197,1,214,1,226,1,227,1,219,1,216,1,225,1,233,1,227,1,218,1,219,1,
229,1,243,1,250,1,254,1,8,2,24,2,38,2,46,2,47,2,32,2,9,2,0,2,8,2,18,2,25,2,33,2,
37,2,35,2,34,2,41,2,50,2,54,2,54,2,55,2,53,2,44,2,33,2,23,2,14,2,15,2,27,2,40,2,
44,2,43,2,39,2,36,2,35,2,26,2,6,2,253,1,11,2,26,2,23,2,15,2,15,2,15,2,8,2,254,1,
245,1,239,1,238,1,243,1,245,1,236,1,224,1,219,1,217,1,214,1,209,1,203,1,188,1,171,1,162,1,161,1,
166,1,175,1,174,1,160,1,155,1,163,1,157,1,126,1,95,1,79,1,77,1,83,1,83,1,69,1,55,1,56,1,
67,1,76,1,75,1,55,1,19,1,241,0,224,0,216,0,210,0,206,0,205,0,208,0,211,0,210,0,200,0,185,0,
169,0,155,0,146,0,138,0,121,0,91,0,61,0,48,0,55,0,67,0,66,0,52,0,36,0,30,0,34,0,34,0,
16,0,240,255,209,255,185,255,166,255,155,255,157,255,168,255,173,255,159,255,136,255,124,255,122,255,123,255,123,255,117,255,
99,255,78,255,62,255,40,255,16,255,9,255,18,255,15,255,0,255,251,254,3,255,16,255,25,255,22,255,3,255,237,254,
223,254,210,254,188,254,167,254,161,254,171,254,184,254,189,254,189,254,190,254,193,254,195,254,196,254,194,254,182,254,158,254,
131,254,114,254,116,254,131,254,147,254,149,254,137,254,133,254,155,254,182,254,186,254,165,254,141,254,126,254,123,254,120,254,
106,254,90,254,95,254,121,254,143,254,147,254,138,254,131,254,132,254,145,254,159,254,159,254,135,254,101,254,85,254,96,254,
115,254,122,254,120,254,117,254,125,254,152,254,182,254,182,254,151,254,123,254,126,254,145,254,156,254,150,254,132,254,114,254,
120,254,153,254,182,254,186,254,179,254,181,254,188,254,194,254,204,254,200,254,174,254,150,254,154,254,176,254,194,254,201,254,
201,254,208,254,231,254,2,255,18,255,14,255,251,254,230,254,228,254,241,254,242,254,229,254,221,254,227,254,246,254,19,255,
51,255,61,255,46,255,29,255,32,255,51,255,60,255,48,255,23,255,7,255,15,255,42,255,68,255,80,255,81,255,86,255,
104,255,131,255,146,255,136,255,118,255,107,255,102,255,101,255,112,255,121,255,120,255,125,255,147,255,171,255,191,255,208,255,
211,255,198,255,183,255,177,255,177,255,181,255,183,255,179,255,178,255,192,255,213,255,233,255,249,255,255,255,253,255,251,255,
251,255,250,255,250,255,250,255,247,255,244,255,249,255,8,0,25,0,36,0,43,0,44,0,37,0,29,0,33,0,47,0,
56,0,57,0,49,0,36,0,37,0,63,0,86,0,82,0,68,0,67,0,71,0,73,0,77,0,80,0,80,0,79,0,
76,0,73,0,77,0,83,0,81,0,77,0,77,0,82,0,88,0,92,0,89,0,88,0,91,0,94,0,93,0,93,0,
90,0,82,0,78,0,84,0,96,0,106,0,110,0,102,0,91,0,90,0,101,0,112,0,113,0,109,0,105,0,99,0,
92,0,95,0,105,0,112,0,112,0,109,0,104,0,102,0,113,0,133,0,146,0,140,0,123,0,106,0,103,0,112,0,
120,0,118,0,113,0,107,0,104,0,113,0,129,0,138,0,140,0,138,0,131,0,123,0,123,0,123,0,116,0,108,0,
111,0,119,0,125,0,129,0,134,0,140,0,148,0,157,0,158,0,148,0,136,0,132,0,133,0,134,0,134,0,137,0,
147,0,159,0,166,0,166,0,164,0,163,0,168,0,174,0,173,0,161,0,148,0,148,0,159,0,172,0,179,0,176,0,
167,0,166,0,175,0,186,0,190,0,185,0,174,0,166,0,168,0,176,0,179,0,177,0,176,0,176,0,179,0,184,0,
186,0,181,0,181,0,191,0,201,0,199,0,191,0,183,0,178,0,177,0,189,0,203,0,204,0,193,0,185,0,187,0,
195,0,205,0,206,0,196,0,189,0,192,0,196,0,199,0,200,0,200,0,199,0,200,0,199,0,196,0,199,0,206,0,
207,0,200,0,194,0,192,0,190,0,186,0,187,0,190,0,192,0,191,0,186,0,179,0,172,0,173,0,180,0,182,0,
172,0,162,0,156,0,153,0,155,0,158,0,158,0,155,0,153,0,147,0,140,0,136,0,136,0,139,0,142,0,138,0,
126,0,119,0,117,0,118,0,119,0,118,0,110,0,104,0,104,0,105,0,101,0,98,0,97,0,96,0,93,0,89,0,
85,0,85,0,86,0,78,0,63,0,55,0,55,0,58,0,59,0,55,0,44,0,33,0,33,0,41,0,44,0,36,0,
25,0,15,0,12,0,14,0,11,0,1,0,248,255,244,255,242,255,243,255,252,255,5,0,2,0,243,255,223,255,205,255,
203,255,219,255,235,255,229,255,210,255,199,255,201,255,205,255,208,255,207,255,202,255,196,255,191,255,189,255,187,255,187,255,
189,255,193,255,193,255,184,255,170,255,165,255,172,255,182,255,181,255,170,255,161,255,159,255,164,255,171,255,172,255,164,255,
154,255,148,255,148,255,154,255,158,255,155,255,148,255,144,255,143,255,142,255,142,255,137,255,129,255,124,255,126,255,132,255,
140,255,141,255,130,255,120,255,122,255,134,255,140,255,130,255,108,255,92,255,96,255,115,255,128,255,126,255,117,255,116,255,
123,255,127,255,126,255,123,255,118,255,109,255,105,255,110,255,115,255,116,255,115,255,111,255,108,255,117,255,133,255,139,255,
130,255,115,255,105,255,108,255,120,255,128,255,126,255,122,255,123,255,127,255,135,255,141,255,137,255,125,255,120,255,125,255,
130,255,132,255,136,255,144,255,149,255,149,255,146,255,143,255,142,255,147,255,155,255,157,255,155,255,156,255,157,255,156,255,
156,255,158,255,165,255,176,255,184,255,179,255,171,255,172,255,181,255,188,255,186,255,175,255,165,255,171,255,187,255,196,255,
192,255,189,255,194,255,202,255,208,255,203,255,195,255,198,255,211,255,216,255,207,255,197,255,197,255,206,255,215,255,215,255,
211,255,213,255,222,255,224,255,218,255,216,255,221,255,227,255,230,255,226,255,216,255,211,255,219,255,232,255,233,255,228,255,
230,255,240,255,246,255,243,255,235,255,232,255,238,255,246,255,243,255,235,255,234,255,241,255,248,255,251,255,254,255,254,255,
253,255,254,255,1,0,2,0,254,255,249,255,244,255,239,255,243,255,252,255,1,0,2,0,4,0,8,0,12,0,14,0,
12,0,5,0,254,255,248,255,246,255,248,255,253,255,253,255,251,255,255,255,8,0,18,0,24,0,22,0,9,0,252,255,
248,255,251,255,255,255,1,0,4,0,7,0,12,0,16,0,19,0,18,0,17,0,17,0,18,0,15,0,9,0,6,0,
6,0,8,0,13,0,19,0,20,0,21,0,22,0,23,0,26,0,32,0,34,0,31,0,24,0,15,0,14,0,24,0,
29,0,18,0,8,0,11,0,20,0,31,0,38,0,34,0,24,0,23,0,27,0,23,0,15,0,12,0,15,0,19,0,
21,0,20,0,17,0,18,0,19,0,15,0,13,0,19,0,28,0,34,0,36,0,35,0,27,0,18,0,16,0,20,0,
20,0,15,0,12,0,14,0,18,0,25,0,35,0,42,0,43,0,35,0,22,0,17,0,21,0,25,0,25,0,22,0,
17,0,17,0,28,0,43,0,47,0,43,0,40,0,39,0,37,0,37,0,34,0,28,0,28,0,36,0,44,0,47,0,
46,0,43,0,41,0,45,0,50,0,49,0,41,0,32,0,27,0,33,0,44,0,50,0,46,0,41,0,41,0,43,0,
46,0,47,0,44,0,40,0,41,0,43,0,39,0,33,0,33,0,35,0,38,0,41,0,40,0,34,0,31,0,38,0,
46,0,50,0,45,0,33,0,22,0,20,0,26,0,32,0,34,0,31,0,27,0,31,0,41,0,48,0,48,0,39,0,
30,0,28,0,31,0,34,0,31,0,27,0,26,0,30,0,39,0,46,0,48,0,43,0,37,0,34,0,32,0,29,0,
25,0,22,0,20,0,21,0,29,0,39,0,38,0,32,0,28,0,27,0,25,0,24,0,20,0,11,0,7,0,12,0,
21,0,25,0,24,0,25,0,32,0,38,0,31,0,17,0,11,0,13,0,18,0,18,0,13,0,9,0,15,0,28,0,
36,0,35,0,33,0,31,0,28,0,25,0,24,0,23,0,21,0,17,0,16,0,19,0,20,0,22,0,27,0,33,0,
32,0,29,0,26,0,22,0,18,0,18,0,18,0,17,0,17,0,12,0,2,0,254,255,4,0,11,0,14,0,13,0,
8,0,5,0,8,0,11,0,8,0,2,0,253,255,248,255,243,255,242,255,245,255,251,255,2,0,5,0,4,0,4,0,
5,0,3,0,2,0,4,0,3,0,249,255,239,255,239,255,243,255,246,255,249,255,253,255,253,255,0,0,7,0,10,0,
4,0,253,255,247,255,242,255,241,255,247,255,250,255,245,255,239,255,240,255,251,255,9,0,12,0,4,0,250,255,247,255,
249,255,252,255,250,255,241,255,231,255,231,255,239,255,247,255,252,255,1,0,4,0,2,0,0,0,253,255,248,255,245,255,
247,255,242,255,231,255,227,255,234,255,242,255,250,255,3,0,5,0,0,0,252,255,247,255,239,255,233,255,229,255,224,255,
223,255,230,255,240,255,248,255,252,255,250,255,246,255,246,255,249,255,244,255,233,255,224,255,220,255,223,255,228,255,231,255,
232,255,235,255,239,255,244,255,248,255,247,255,240,255,232,255,226,255,226,255,228,255,230,255,227,255,223,255,220,255,225,255,
240,255,254,255,254,255,244,255,236,255,231,255,227,255,227,255,229,255,227,255,224,255,226,255,232,255,238,255,242,255,245,255,
245,255,241,255,232,255,224,255,223,255,225,255,229,255,231,255,225,255,217,255,219,255,235,255,250,255,255,255,249,255,238,255,
230,255,227,255,223,255,217,255,212,255,215,255,225,255,236,255,239,255,239,255,244,255,250,255,250,255,244,255,235,255,224,255,
216,255,214,255,214,255,220,255,233,255,244,255,241,255,237,255,239,255,243,255,243,255,241,255,236,255,227,255,220,255,220,255,
220,255,219,255,218,255,221,255,227,255,234,255,237,255,235,255,233,255,236,255,240,255,240,255,234,255,223,255,213,255,211,255,
216,255,222,255,224,255,225,255,223,255,222,255,231,255,243,255,246,255,238,255,228,255,222,255,218,255,215,255,215,255,216,255,
218,255,222,255,227,255,229,255,233,255,241,255,247,255,244,255,236,255,230,255,225,255,215,255,206,255,206,255,215,255,228,255,
237,255,240,255,240,255,242,255,247,255,249,255,242,255,230,255,225,255,229,255,232,255,232,255,233,255,236,255,241,255,246,255,
251,255,253,255,255,255,1,0,255,255,247,255,243,255,244,255,244,255,241,255,237,255,235,255,238,255,245,255,252,255,0,0,
4,0,6,0,8,0,5,0,252,255,240,255,232,255,232,255,241,255,252,255,252,255,246,255,252,255,11,0,12,0,255,255,
243,255,238,255,240,255,246,255,246,255,240,255,239,255,244,255,246,255,246,255,245,255,243,255,243,255,246,255,247,255,247,255,
248,255,250,255,248,255,247,255,249,255,252,255,253,255,252,255,247,255,238,255,235,255,245,255,5,0,11,0,6,0,1,0,
3,0,8,0,11,0,8,0,254,255,245,255,246,255,251,255,253,255,252,255,253,255,2,0,12,0,21,0,22,0,14,0,
5,0,1,0,1,0,1,0,253,255,250,255,251,255,254,255,0,0,6,0,12,0,13,0,12,0,13,0,11,0,8,0,
11,0,15,0,11,0,3,0,0,0,0,0,4,0,13,0,20,0,20,0,20,0,28,0,33,0,27,0,14,0,8,0,
11,0,20,0,24,0,23,0,23,0,30,0,39,0,39,0,36,0,36,0,37,0,35,0,30,0,26,0,30,0,39,0,
43,0,40,0,37,0,40,0,45,0,47,0,44,0,40,0,40,0,42,0,45,0,44,0,41,0,41,0,45,0,48,0,
45,0,43,0,44,0,45,0,42,0,39,0,39,0,39,0,40,0,42,0,43,0,42,0,43,0,47,0,50,0,48,0,
42,0,36,0,31,0,32,0,37,0,41,0,40,0,41,0,50,0,56,0,52,0,44,0,39,0,36,0,36,0,40,0,
43,0,45,0,47,0,43,0,37,0,41,0,51,0,56,0,54,0,49,0,43,0,38,0,36,0,37,0,38,0,37,0,
35,0,37,0,42,0,48,0,52,0,54,0,50,0,42,0,38,0,33,0,22,0,15,0,21,0,31,0,34,0,33,0,
30,0,30,0,35,0,41,0,41,0,33,0,21,0,11,0,10,0,18,0,24,0,25,0,23,0,22,0,24,0,26,0,
23,0,15,0,11,0,13,0,17,0,17,0,12,0,6,0,6,0,11,0,15,0,15,0,13,0,10,0,6,0,2,0,
0,0,0,0,5,0,11,0,9,0,2,0,255,255,0,0,253,255,247,255,245,255,250,255,3,0,6,0,1,0,249,255,
248,255,4,0,12,0,2,0,241,255,234,255,235,255,239,255,248,255,2,0,1,0,248,255,242,255,242,255,246,255,252,255,
253,255,246,255,236,255,231,255,232,255,235,255,239,255,243,255,245,255,245,255,245,255,241,255,239,255,241,255,243,255,240,255,
235,255,228,255,224,255,227,255,233,255,236,255,236,255,240,255,246,255,250,255,251,255,246,255,236,255,232,255,234,255,233,255,
225,255,218,255,218,255,223,255,234,255,245,255,248,255,248,255,245,255,240,255,236,255,236,255,233,255,225,255,221,255,223,255,
226,255,229,255,233,255,233,255,233,255,238,255,245,255,244,255,235,255,229,255,225,255,222,255,221,255,225,255,228,255,228,255,
228,255,228,255,227,255,228,255,233,255,236,255,233,255,231,255,230,255,223,255,217,255,216,255,221,255,228,255,229,255,217,255,
205,255,213,255,235,255,250,255,249,255,235,255,219,255,212,255,218,255,227,255,227,255,218,255,208,255,206,255,217,255,235,255,
248,255,251,255,243,255,232,255,230,255,232,255,228,255,218,255,213,255,215,255,224,255,234,255,237,255,232,255,227,255,232,255,
243,255,249,255,244,255,233,255,225,255,223,255,225,255,229,255,230,255,227,255,226,255,230,255,232,255,233,255,237,255,241,255,
238,255,232,255,229,255,228,255,228,255,227,255,226,255,225,255,228,255,232,255,232,255,231,255,235,255,241,255,245,255,243,255,
237,255,232,255,234,255,240,255,243,255,242,255,241,255,241,255,240,255,242,255,248,255,253,255,1,0,5,0,6,0,255,255,
251,255,254,255,1,0,254,255,252,255,253,255,255,255,0,0,4,0,10,0,13,0,13,0,10,0,6,0,5,0,9,0,
13,0,12,0,6,0,1,0,1,0,5,0,8,0,6,0,3,0,3,0,8,0,13,0,13,0,10,0,8,0,8,0,
8,0,4,0,0,0,255,255,1,0,4,0,10,0,14,0,15,0,16,0,18,0,15,0,8,0,5,0,5,0,9,0,
13,0,12,0,7,0,7,0,12,0,17,0,20,0,18,0,10,0,1,0,0,0,5,0,10,0,14,0,16,0,14,0,
10,0,9,0,11,0,11,0,8,0,5,0,4,0,3,0,3,0,6,0,14,0,16,0,11,0,8,0,10,0,11,0,
9,0,4,0,254,255,254,255,5,0,11,0,11,0,8,0,9,0,14,0,19,0,18,0,10,0,4,0,1,0,255,255,
255,255,1,0,7,0,12,0,13,0,11,0,10,0,9,0,10,0,12,0,13,0,6,0,253,255,251,255,253,255,0,0,
4,0,8,0,7,0,7,0,10,0,9,0,7,0,11,0,11,0,5,0,0,0,2,0,3,0,2,0,3,0,7,0,
11,0,15,0,18,0,19,0,18,0,14,0,8,0,4,0,3,0,4,0,7,0,12,0,15,0,16,0,17,0,19,0,
21,0,24,0,24,0,18,0,8,0,2,0,5,0,12,0,16,0,15,0,13,0,13,0,19,0,26,0,27,0,20,0,
10,0,3,0,1,0,4,0,7,0,10,0,15,0,17,0,15,0,14,0,17,0,21,0,21,0,16,0,10,0,6,0,
7,0,9,0,8,0,5,0,5,0,13,0,20,0,22,0,20,0,20,0,20,0,20,0,20,0,15,0,9,0,7,0,
9,0,8,0,7,0,7,0,10,0,16,0,24,0,28,0,25,0,19,0,13,0,10,0,9,0,8,0,4,0,1,0,
2,0,6,0,12,0,17,0,17,0,16,0,15,0,15,0,13,0,8,0,2,0,1,0,5,0,5,0,4,0,6,0,
8,0,8,0,9,0,9,0,8,0,10,0,15,0,13,0,6,0,3,0,6,0,9,0,6,0,255,255,250,255,252,255,
3,0,8,0,9,0,9,0,8,0,9,0,9,0,3,0,251,255,248,255,251,255,251,255,249,255,248,255,249,255,252,255,
0,0,4,0,6,0,2,0,251,255,245,255,245,255,246,255,248,255,248,255,247,255,246,255,246,255,246,255,247,255,245,255,
241,255,237,255,241,255,247,255,248,255,244,255,238,255,235,255,237,255,239,255,236,255,231,255,228,255,229,255,233,255,240,255,
246,255,244,255,237,255,233,255,231,255,234,255,238,255,239,255,233,255,228,255,228,255,232,255,237,255,240,255,238,255,236,255,
236,255,239,255,241,255,241,255,238,255,233,255,229,255,229,255,228,255,227,255,230,255,237,255,241,255,240,255,238,255,238,255,
239,255,241,255,241,255,237,255,229,255,225,255,228,255,235,255,239,255,238,255,235,255,236,255,238,255,241,255,246,255,247,255,
242,255,237,255,234,255,233,255,235,255,240,255,242,255,240,255,240,255,244,255,248,255,251,255,251,255,250,255,250,255,252,255,
252,255,250,255,248,255,248,255,249,255,249,255,249,255,248,255,248,255,251,255,254,255,2,0,5,0,8,0,7,0,3,0,
254,255,249,255,246,255,248,255,253,255,254,255,251,255,252,255,2,0,6,0,8,0,9,0,9,0,7,0,6,0,5,0,
2,0,2,0,4,0,6,0,6,0,5,0,5,0,8,0,12,0,13,0,11,0,10,0,11,0,12,0,11,0,9,0,
6,0,7,0,10,0,10,0,7,0,7,0,11,0,14,0,15,0,12,0,9,0,9,0,10,0,10,0,8,0,7,0,
6,0,7,0,10,0,11,0,9,0,8,0,10,0,12,0,14,0,14,0,11,0,8,0,6,0,6,0,9,0,11,0,
9,0,7,0,7,0,8,0,10,0,12,0,12,0,10,0,11,0,13,0,12,0,8,0,7,0,8,0,7,0,5,0,
6,0,7,0,9,0,9,0,9,0,9,0,9,0,10,0,10,0,9,0,8,0,6,0,4,0,1,0,1,0,4,0,
9,0,13,0,12,0,7,0,4,0,5,0,8,0,9,0,8,0,1,0,253,255,0,0,6,0,8,0,6,0,5,0,
5,0,6,0,7,0,8,0,6,0,4,0,1,0,254,255,252,255,254,255,1,0,1,0,1,0,4,0,6,0,6,0,
4,0,2,0,2,0,2,0,0,0,253,255,252,255,253,255,254,255,255,255,1,0,3,0,3,0,3,0,3,0,1,0,
255,255,252,255,249,255,250,255,255,255,5,0,5,0,2,0,0,0,255,255,0,0,4,0,4,0,0,0,253,255,253,255,
0,0,3,0,3,0,3,0,4,0,4,0,1,0,254,255,254,255,1,0,2,0,0,0,255,255,1,0,4,0,5,0,
5,0,3,0,1,0,1,0,3,0,2,0,0,0,255,255,1,0,3,0,3,0,3,0,3,0,3,0,3,0,4,0,
7,0,7,0,5,0,3,0,2,0,0,0,0,0,3,0,7,0,7,0,5,0,4,0,3,0,3,0,5,0,8,0,
8,0,7,0,5,0,5,0,7,0,9,0,9,0,7,0,6,0,4,0,2,0,0,0,0,0,3,0,8,0,11,0,
10,0,9,0,10,0,11,0,10,0,6,0,2,0,2,0,5,0,8,0,7,0,5,0,6,0,10,0,13,0,12,0,
9,0,4,0,3,0,6,0,9,0,10,0,9,0,6,0,4,0,5,0,5,0,4,0,4,0,4,0,1,0,0,0,
3,0,6,0,5,0,2,0,1,0,0,0,0,0,0,0,1,0,255,255,255,255,1,0,1,0,254,255,251,255,251,255,
252,255,254,255,0,0,255,255,252,255,251,255,252,255,253,255,254,255,255,255,253,255,250,255,249,255,251,255,254,255,255,255,
253,255,250,255,249,255,252,255,254,255,253,255,250,255,250,255,252,255,252,255,252,255,251,255,251,255,251,255,251,255,251,255,
250,255,248,255,247,255,249,255,251,255,251,255,249,255,248,255,247,255,250,255,252,255,250,255,249,255,249,255,250,255,249,255,
247,255,245,255,244,255,246,255,249,255,253,255,255,255,253,255,250,255,248,255,248,255,251,255,253,255,249,255,242,255,239,255,
244,255,250,255,253,255,255,255,254,255,252,255,250,255,251,255,251,255,251,255,248,255,243,255,240,255,242,255,247,255,251,255,
252,255,250,255,248,255,248,255,249,255,249,255,245,255,244,255,245,255,247,255,246,255,245,255,245,255,244,255,245,255,248,255,
248,255,245,255,245,255,246,255,246,255,245,255,245,255,246,255,246,255,247,255,248,255,247,255,245,255,245,255,246,255,247,255,
248,255,249,255,247,255,247,255,247,255,247,255,246,255,247,255,248,255,248,255,247,255,248,255,249,255,248,255,248,255,248,255,
248,255,247,255,245,255,245,255,246,255,246,255,246,255,247,255,249,255,250,255,250,255,248,255,245,255,245,255,248,255,250,255,
247,255,244,255,243,255,244,255,246,255,250,255,251,255,250,255,249,255,248,255,247,255,248,255,250,255,251,255,247,255,245,255,
245,255,246,255,249,255,251,255,251,255,251,255,251,255,252,255,252,255,252,255,253,255,254,255,252,255,249,255,248,255,249,255,
252,255,252,255,252,255,252,255,254,255,0,0,0,0,255,255,254,255,255,255,0,0,0,0,254,255,251,255,252,255,254,255,
0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,3,0,3,0,
2,0,3,0,5,0,4,0,3,0,2,0,1,0,1,0,2,0,5,0,6,0,6,0,6,0,6,0,6,0,8,0,
8,0,6,0,3,0,3,0,5,0,7,0,7,0,7,0,7,0,8,0,9,0,10,0,10,0,9,0,8,0,7,0,
5,0,5,0,7,0,7,0,7,0,9,0,12,0,13,0,11,0,9,0,8,0,8,0,8,0,7,0,6,0,6,0,
7,0,9,0,11,0,12,0,11,0,10,0,9,0,9,0,10,0,10,0,9,0,8,0,8,0,8,0,9,0,9,0,
9,0,10,0,10,0,10,0,11,0,11,0,10,0,9,0,8,0,9,0,10,0,10,0,8,0,5,0,7,0,10,0,
11,0,10,0,8,0,8,0,8,0,8,0,9,0,10,0,8,0,7,0,7,0,7,0,8,0,8,0,8,0,6,0,
5,0,8,0,12,0,11,0,8,0,6,0,6,0,7,0,6,0,5,0,3,0,3,0,5,0,8,0,10,0,10,0,
8,0,7,0,7,0,7,0,7,0,6,0,3,0,2,0,2,0,4,0,6,0,6,0,5,0,5,0,6,0,7,0,
8,0,8,0,7,0,5,0,3,0,3,0,4,0,4,0,3,0,1,0,1,0,4,0,6,0,7,0,7,0,5,0,
5,0,5,0,6,0,4,0,0,0,254,255,0,0,2,0,4,0,3,0,3,0,3,0,5,0,7,0,7,0,2,0,
0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,3,0,4,0,4,0,3,0,2,0,1,0,0,0,0,0,
1,0,1,0,1,0,1,0,1,0,1,0,1,0,255,255,254,255,254,255,0,0,1,0,2,0,2,0,1,0,255,255,
255,255,0,0,0,0,254,255,253,255,253,255,255,255,255,255,255,255,254,255,255,255,0,0,1,0,1,0,255,255,254,255,
254,255,255,255,255,255,255,255,254,255,254,255,253,255,253,255,254,255,255,255,255,255,253,255,253,255,255,255,0,0,255,255,
253,255,252,255,252,255,253,255,253,255,252,255,251,255,252,255,253,255,254,255,254,255,253,255,252,255,252,255,253,255,254,255,
253,255,252,255,251,255,251,255,251,255,251,255,252,255,252,255,252,255,251,255,251,255,252,255,253,255,254,255,253,255,250,255,
249,255,250,255,251,255,251,255,251,255,251,255,251,255,251,255,253,255,254,255,253,255,252,255,252,255,252,255,252,255,251,255,
250,255,249,255,250,255,252,255,253,255,252,255,252,255,253,255,254,255,254,255,254,255,252,255,252,255,252,255,252,255,251,255,
251,255,252,255,253,255,253,255,252,255,253,255,253,255,253,255,252,255,252,255,252,255,252,255,253,255,254,255,253,255,252,255,
253,255,253,255,253,255,252,255,253,255,254,255,254,255,254,255,254,255,253,255,253,255,253,255,253,255,254,255,254,255,253,255,
253,255,254,255,254,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,254,255,254,255,254,255,254,255,254,255,255,255,
255,255,253,255,253,255,254,255,254,255,254,255,254,255,254,255,254,255,255,255,0,0,0,0,255,255,254,255,254,255,253,255,
253,255,254,255,253,255,252,255,253,255,0,0,1,0,255,255,255,255,0,0,0,0,0,0,0,0,255,255,254,255,254,255,
254,255,254,255,254,255,0,0,1,0,0,0,1,0,2,0,3,0,1,0,255,255,254,255,255,255,0,0,0,0,255,255,
255,255,0,0,1,0,1,0,2,0,2,0,2,0,1,0,0,0,255,255,255,255,255,255,0,0,0,0,0,0,255,255,
0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,255,255,255,255,255,255,0,0,0,0,0,0,0,0,
1,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,0,1,0,
2,0,2,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,255,255,255,255,0,0,1,0,1,0,1,0,1,0,
1,0,2,0,1,0,255,255,255,255,0,0,0,0,255,255,254,255,255,255,0,0,1,0,1,0,0,0,0,0,1,0,
1,0,1,0,255,255,255,255,255,255,255,255,255,255,0,0,1,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,
1,0,1,0,1,0,0,0,1,0,1,0,2,0,2,0,2,0,2,0,2,0,1,0,2,0,2,0,2,0,2,0,
2,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,
1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,3,0,1,0,255,255,0,0,1,0,0,0,255,255,255,255,
0,0,1,0,1,0,2,0,1,0,0,0,1,0,2,0,2,0,0,0,255,255,0,0,0,0,1,0,1,0,1,0,
1,0,2,0,3,0,2,0,2,0,2,0,2,0,1,0,255,255,255,255,0,0,1,0,1,0,2,0,2,0,2,0,
2,0,2,0,2,0,3,0,2,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,2,0,1,0,1,0,2,0,
2,0,2,0,1,0,0,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,2,0,2,0,1,0,0,0,1,0,
1,0,0,0,1,0,1,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,
1,0,1,0,2,0,3,0,3,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,2,0,
3,0,2,0,2,0,3,0,2,0,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,1,0,1,0,
1,0,1,0,1,0,0,0,255,255,255,255,254,255,253,255,253,255,254,255,255,255,0,0,0,0,0,0,0,0,1,0,
0,0,255,255,255,255,255,255,255,255,254,255,255,255,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
1,0,1,0,0,0,255,255,254,255,255,255,0,0,1,0,1,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,
0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,254,255,255,255,255,255,253,255,252,255,254,255,255,255,
255,255,255,255,254,255,254,255,254,255,254,255,253,255,252,255,253,255,254,255,253,255,253,255,253,255,253,255,254,255,255,255,
0,0,254,255,253,255,253,255,254,255,254,255,253,255,253,255,253,255,253,255,255,255,0,0,255,255,254,255,254,255,255,255,
255,255,254,255,253,255,252,255,253,255,254,255,0,0,255,255,253,255,253,255,254,255,254,255,254,255,255,255,255,255,255,255,
254,255,253,255,254,255,254,255,253,255,252,255,252,255,254,255,255,255,255,255,255,255,255,255,254,255,254,255,254,255,253,255,
253,255,253,255,253,255,253,255,254,255,255,255,255,255,254,255,255,255,0,0,0,0,255,255,254,255,253,255,253,255,254,255,
254,255,254,255,254,255,254,255,255,255,0,0,1,0,0,0,254,255,254,255,0,0,1,0,255,255,253,255,253,255,254,255,
255,255,0,0,0,0,255,255,255,255,0,0,0,0,0,0,255,255,0,0,255,255,255,255,255,255,0,0,255,255,255,255,
0,0,0,0,0,0,255,255,254,255,255,255,255,255,0,0,255,255,255,255,0,0,0,0,255,255,255,255,255,255,255,255,
255,255,255,255,254,255,255,255,0,0,1,0,1,0,255,255,255,255,0,0,2,0,1,0,0,0,255,255,0,0,1,0,
1,0,0,0,0,0,1,0,1,0,2,0,3,0,2,0,2,0,2,0,2,0,2,0,2,0,1,0,1,0,0,0,
1,0,3,0,3,0,2,0,2,0,2,0,2,0,2,0,3,0,3,0,2,0,1,0,1,0,1,0,1,0,1,0,
2,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,1,0,1,0,2,0,3,0,2,0,0,0,0,0,0,0,
0,0,1,0,2,0,2,0,1,0,2,0,2,0,1,0,2,0,3,0,2,0,1,0,2,0,3,0,2,0,1,0,
1,0,2,0,2,0,2,0,2,0,2,0,3,0,3,0,3,0,3,0,2,0,2,0,2,0,1,0,1,0,2,0,
3,0,3,0,2,0,2,0,1,0,2,0,2,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,1,0,1,0,
2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,1,0,1,0,1,0,1,0,2,0,2,0,2,0,
3,0,3,0,2,0,1,0,2,0,3,0,2,0,1,0,2,0,3,0,2,0,1,0,2,0,2,0,2,0,2,0,
1,0,1,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,
0,0,255,255,0,0,1,0,2,0,1,0,255,255,254,255,255,255,0,0,0,0,0,0,1,0,2,0,1,0,0,0,
0,0,1,0,1,0,1,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,
0,0,0,0,0,0,1,0,1,0,1,0,255,255,255,255,0,0,1,0,1,0,0,0,0,0,255,255,255,255,0,0,
0,0,255,255,255,255,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,
255,255,1,0,1,0,1,0,1,0,0,0,255,255,254,255,255,255,1,0,0,0,255,255,255,255,0,0,0,0,0,0,
1,0,0,0,255,255,255,255,0,0,255,255,254,255,254,255,255,255,255,255,0,0,0,0,254,255,253,255,254,255,255,255,
254,255,253,255,252,255,254,255,255,255,255,255,254,255,254,255,255,255,0,0,255,255,253,255,253,255,254,255,254,255,254,255,
254,255,254,255,254,255,254,255,254,255,255,255,0,0,0,0,255,255,255,255,255,255,254,255,254,255,254,255,255,255,255,255,
255,255,254,255,254,255,255,255,0,0,255,255,254,255,254,255,254,255,254,255,254,255,254,255,255,255,255,255,255,255,255,255,
254,255,253,255,254,255,255,255,0,0,254,255,253,255,253,255,253,255,253,255,254,255,255,255,254,255,255,255,255,255,255,255,
254,255,254,255,255,255,254,255,254,255,255,255,254,255,253,255,253,255,254,255,255,255,255,255,0,0,255,255,254,255,254,255,
255,255,255,255,254,255,254,255,254,255,254,255,254,255,255,255,254,255,254,255,254,255,255,255,254,255,253,255,254,255,255,255,
255,255,253,255,253,255,255,255,255,255,254,255,253,255,253,255,253,255,253,255,253,255,254,255,254,255,254,255,254,255,254,255,
255,255,255,255,255,255,254,255,254,255,254,255,255,255,255,255,254,255,254,255,255,255,255,255,254,255,255,255,0,0,1,0,
0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,
255,255,255,255,255,255,1,0,0,0,255,255,255,255,0,0,0,0,255,255,255,255,0,0,0,0,0,0,1,0,0,0,
255,255,255,255,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,
1,0,1,0,0,0,0,0,1,0,1,0,2,0,2,0,1,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,
0,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,1,0,0,0,1,0,2,0,2,0,1,0,0,0,
0,0,1,0,2,0,2,0,0,0,0,0,2,0,3,0,3,0,3,0,4,0,4,0,2,0,2,0,2,0,3,0,
2,0,2,0,2,0,2,0,2,0,3,0,4,0,4,0,4,0,4,0,3,0,3,0,3,0,3,0,3,0,3,0,
3,0,2,0,1,0,2,0,3,0,3,0,3,0,3,0,4,0,3,0,3,0,3,0,2,0,2,0,3,0,2,0,
1,0,1,0,2,0,3,0,2,0,3,0,4,0,4,0,3,0,3,0,2,0,2,0,2,0,3,0,3,0,2,0,
2,0,2,0,2,0,3,0,3,0,2,0,2,0,3,0,3,0,2,0,2,0,2,0,2,0,2,0,3,0,3,0,
2,0,2,0,2,0,3,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,3,0,3,0,2,0,
2,0,2,0,3,0,2,0,0,0,255,255,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,3,0,2,0,
1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,
0,0,0,0,255,255,255,255,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,254,255,
254,255,255,255,0,0,0,0,255,255,255,255,255,255,255,255,254,255,254,255,254,255,254,255,254,255,254,255,255,255,255,255,
255,255,255,255,255,255,255,255,254,255,254,255,253,255,254,255,254,255,255,255,254,255,253,255,253,255,253,255,255,255,255,255,
255,255,254,255,253,255,253,255,253,255,253,255,253,255,253,255,254,255,254,255,254,255,253,255,254,255,254,255,254,255,253,255,
253,255,253,255,253,255,253,255,253,255,254,255,254,255,254,255,254,255,254,255,254,255,254,255,254,255,253,255,254,255,253,255,
253,255,253,255,254,255,253,255,253,255,253,255,255,255,255,255,255,255,255,255,254,255,253,255,254,255,254,255,253,255,253,255,
253,255,253,255,253,255,254,255,255,255,254,255,254,255,254,255,254,255,254,255,254,255,253,255,253,255,253,255,253,255,253,255,
253,255,254,255,254,255,254,255,254,255,254,255,255,255,254,255,253,255,253,255,253,255,254,255,254,255,254,255,254,255,255,255,
255,255,255,255,254,255,253,255,254,255,254,255,254,255,254,255,253,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,
0,0,0,0,255,255,254,255,254,255,254,255,254,255,255,255,255,255,255,255,254,255,255,255,0,0,1,0,0,0,255,255,
255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,
2,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,
1,0,2,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,2,0,2,0,1,0,2,0,
2,0,2,0,1,0,1,0,1,0,2,0,2,0,2,0,2,0,1,0,2,0,2,0,2,0,2,0,1,0,1,0,
2,0,2,0,3,0,2,0,1,0,1,0,1,0,1,0,2,0,2,0,2,0,2,0,2,0,2,0,1,0,1,0,
2,0,2,0,1,0,1,0,1,0,2,0,2,0,3,0,2,0,2,0,2,0,2,0,2,0,1,0,1,0,2,0,
1,0,1,0,2,0,2,0,2,0,2,0,3,0,3,0,2,0,2,0,2,0,2,0,1,0,1,0,1,0,1,0,
1,0,2,0,1,0,2,0,2,0,3,0,2,0,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,2,0,2,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,
0,0,0,0,0,0,0,0,255,255,254,255,254,255,254,255,254,255,255,255,255,255,0,0,0,0,255,255,255,255,255,255,
255,255,255,255,254,255,255,255,255,255,255,255,255,255,0,0,0,0,255,255,255,255,255,255,255,255,255,255,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,
255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,0,0,
0,0,0,0,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,254,255,254,255,255,255,
0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,255,255,
255,255,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,255,255,255,255,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,255,255,0,0,0,0,1,0,1,0,
1,0,1,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,255,255,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,
1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,0,0,0,0,1,0,1,0,0,0,0,0,
255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,
0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,255,255,255,255,255,255,0,0,0,0,1,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,
255,255,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,255,255,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,255,255,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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