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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,2,3,2,3,3,4,5,4,4,3,2,1,1,2,3,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,1,2,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,3,3,4,3,4,3,4,4,5,14,5,5,4,3,2,2,3,4,3,2,1,0,0,0,0,0,0,0,0,1,2,2,3,2,1,2,2,3,3,2,2,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,1,2,3,4,4,5,4,5,4,5,5,6,6,6,6,5,4,3,3,4,5,4,3,2,1,0,0,0,0,0,0,1,2,3,3,4,3,2,3,3,4,4,3,3,3,3,3,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,2,2,3,2,3,4,5,5,6,5,6,5,5,6,6,9,11,6,6,5,4,4,4,5,4,3,2,1,0,0,0,1,0,1,2,3,4,4,5,4,3,4,4,5,5,4,4,4,4,4,3,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,3,3,4,3,3,4,5,5,6,12,6,16,14,6,9,10,5,6,6,5,5,5,5,6,5,4,3,2,1,0,1,2,1,2,3,4,5,5,5,5,4,5,5,6,6,5,5,5,5,5,4,3,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,5,4,4,5,4,4,5,12,5,6,6,6,6,6,6,6,13,6,6,6,5,5,5,6,18,6,5,4,3,2,1,2,3,2,2,3,4,5,5,5,5,5,15,13,6,6,6,6,6,6,6,5,4,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,2,3,4,4,4,5,6,5,5,18,5,5,6,10,7,10,110,100,100,100,100,100,100,100,100,111,9,6,10,6,6,6,5,5,4,3,2,3,4,3,3,4,5,6,5,5,5,5,9,6,6,18,9,6,8,10,6,5,5,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,2,3,4,5,5,5,6,16,5,6,120,6,6,6,6,6,110,104,212,220,207,207,203,215,213,223,105,111,6,17,6,6,7,5,5,5,4,3,4,5,4,4,5,14,6,6,5,5,5,5,6,6,6,6,6,6,18,6,5,16,6,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,3,4,5,6,5,6,6,9,6,6,6,6,6,6,110,100,104,201,209,224,222,200,208,200,215,210,200,101,9,6,6,6,17,8,6,5,4,4,5,6,5,5,6,6,7,6,5,5,6,17,12,6,9,6,6,120,7,5,6,6,18,6,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,2,3,4,5,14,6,6,5,6,6,8,14,110,100,100,100,104,217,212,211,206,209,202,217,216,215,224,205,206,105,100,111,6,17,19,6,14,5,5,5,15,6,14,5,5,12,120,11,13,16,10,110,100,100,100,100,100,111,16,6,6,6,6,6,6,5,4,3,2,1,0,0,0,0,0,0,0,1,1,2,3,2,2,3,2,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,3,4,5,17,6,6,19,110,100,100,104,200,200,218,216,220,206,203,224,216,223,210,223,212,202,223,201,205,223,105,111,6,6,6,9,5,5,6,11,6,6,6,6,17,6,110,100,100,100,104,207,212,206,218,200,105,100,111,6,6,18,18,5,4,3,2,1,0,0,1,0,0,1,1,1,2,2,3,4,3,3,4,3,2,3,2,1,1,1,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,2,3,4,4,5,12,6,110,100,104,200,213,200,204,217,217,200,217,217,204,210,210,215,223,215,203,213,203,207,200,218,220,101,6,6,6,6,6,5,6,120,6,13,15,17,6,110,104,214,202,202,216,219,222,200,224,221,220,220,105,111,6,6,6,5,4,3,2,1,0,1,2,1,1,2,2,2,3,3,4,5,4,4,5,4,3,4,3,2,2,2,3,2,2,2,2,2,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,2,3,4,5,5,6,14,6,103,200,205,208,222,202,212,220,210,221,219,223,210,200,215,220,206,206,222,205,221,223,200,209,221,105,100,111,14,6,6,6,6,6,6,6,6,110,100,104,210,218,208,219,203,207,206,205,223,201,211,207,207,101,6,6,6,7,5,4,3,2,1,2,3,2,2,3,3,3,4,4,5,16,5,5,6,5,4,5,4,3,3,3,4,3,3,3,3,3,2,2,3,2,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,2,3,4,5,6,120,6,103,219,206,221,223,217,205,206,206,200,211,223,209,210,200,222,219,203,202,222,207,220,204,207,200,203,200,105,100,100,100,100,100,111,110,100,100,104,220,222,200,200,222,220,211,219,202,200,204,209,208,200,202,105,111,18,6,6,6,5,4,3,2,3,4,3,3,4,4,4,5,5,18,6,6,6,16,5,5,6,5,4,4,4,5,4,4,4,4,4,3,3,4,3,2,1,0,1,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,2,3,4,5,5,9,6,6,103,202,210,224,201,218,205,213,215,222,205,213,221,201,220,215,210,221,216,200,224,224,206,206,210,207,218,203,200,221,224,221,211,105,104,213,210,209,206,201,211,212,214,220,211,203,213,208,212,213,200,224,216,219,105,111,6,9,5,4,3,2,3,4,5,4,4,5,5,5,5,5,6,6,6,18,6,6,10,6,6,5,5,5,12,5,5,5,5,5,4,4,5,4,3,2,1,2,3,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,2,3,4,5,6,6,6,6,103,205,211,214,203,219,212,206,216,213,200,207,215,207,212,223,215,208,219,208,208,200,216,213,215,200,214,222,203,208,215,206,214,212,219,218,215,204,202,214,200,217,218,205,221,213,212,201,210,206,210,213,219,200,200,101,6,5,5,4,3,3,4,5,6,5,5,5,5,5,5,5,5,10,6,6,6,6,5,6,6,7,6,6,6,6,5,5,5,5,4,5,8,5,4,3,2,3,4,5,4,3,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,3,4,5,5,18,5,6,6,103,200,213,205,207,209,200,200,224,219,220,222,203,211,206,204,212,210,203,201,202,216,220,216,214,216,203,204,212,222,215,224,200,200,208,216,224,212,220,200,200,202,221,209,220,202,208,201,218,211,207,202,214,206,207,101,9,5,5,4,3,4,5,5,15,5,5,6,5,5,5,5,5,6,6,8,14,6,6,6,12,11,6,6,6,19,9,5,5,5,5,14,14,6,5,4,3,2,3,4,3,2,1,0,0,0,0,0,0,0,1,1,2,1,0,0,1,2,3,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,2,3,4,5,6,120,6,6,6,103,223,202,215,200,200,215,206,204,200,212,200,203,209,205,202,206,223,209,200,210,206,221,224,200,208,200,213,201,212,205,214,205,215,223,215,200,219,219,216,207,214,202,201,208,219,212,202,223,223,223,219,215,212,210,101,6,6,5,4,4,5,6,5,6,6,6,6,6,6,6,6,6,6,6,110,100,100,100,100,100,100,100,100,100,111,6,6,5,5,19,6,6,6,6,5,4,3,2,3,2,1,1,0,0,0,0,0,0,1,2,2,3,2,1,1,2,3,4,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,3,4,5,5,5,9,5,120,6,103,206,213,208,200,205,210,216,200,210,218,217,218,218,215,212,220,200,203,202,206,203,210,215,216,216,206,222,212,212,200,209,203,214,214,207,208,217,218,216,217,209,208,206,206,200,220,217,201,224,223,209,214,212,206,101,10,6,6,5,4,5,6,6,6,6,110,100,100,100,100,111,100,100,100,104,203,217,203,222,212,212,207,203,200,105,100,111,6,18,6,6,6,5,5,5,4,3,2,2,1,1,2,1,0,0,0,1,1,2,3,3,4,3,2,2,3,3,4,5,5,4,3,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,2,3,4,5,5,5,5,6,6,6,103,224,205,219,204,205,208,211,210,200,224,219,202,208,201,212,204,202,200,211,218,216,221,206,218,215,222,200,222,201,213,211,222,221,200,212,218,205,208,220,206,204,215,211,211,216,219,203,205,205,219,214,202,221,214,105,111,6,6,6,5,5,6,6,110,100,104,211,215,223,200,105,200,200,214,220,217,215,222,222,212,207,205,220,211,210,221,105,100,100,111,6,6,6,6,5,4,3,2,1,1,2,3,2,1,0,1,2,2,3,4,4,5,4,3,3,4,4,5,16,5,5,4,3,2,1,1,1,1,2,1,0,0,0,0,0,0,0
0,0,1,2,3,4,5,5,6,6,8,9,110,104,222,221,222,200,200,205,216,221,214,215,211,202,211,201,200,221,206,223,223,202,218,203,212,221,200,217,210,222,222,213,208,211,214,213,221,217,200,215,208,203,213,220,202,219,223,201,211,202,215,212,210,201,218,206,209,101,6,6,5,5,6,5,6,103,215,213,204,224,218,223,211,200,201,205,204,206,200,201,210,219,212,203,220,200,209,200,214,203,212,105,111,6,6,9,18,5,4,3,2,2,3,4,3,2,1,2,3,3,4,5,5,6,5,4,4,5,5,6,5,5,4,3,2,2,2,2,2,2,3,2,1,0,0,0,0,0,0
0,0,1,2,3,4,5,6,6,110,100,100,104,216,215,210,202,219,200,200,205,210,200,201,221,223,213,209,219,201,212,213,208,215,209,224,207,221,221,207,221,223,208,202,200,217,217,215,204,217,200,208,202,224,219,200,205,200,205,214,200,200,208,205,216,200,200,209,200,105,111,6,5,6,6,6,110,104,214,212,210,212,223,202,215,215,218,210,201,204,202,202,221,209,218,203,205,200,203,211,221,206,213,215,101,10,6,6,5,5,4,3,2,3,4,5,4,3,2,3,4,4,5,6,6,9,6,5,5,9,14,6,6,5,4,3,3,3,3,3,3,3,4,3,2,1,0,0,0,0,0
0,1,2,3,4,5,9,14,6,103,222,218,209,203,200,205,215,209,215,205,210,215,210,200,216,211,223,210,224,224,212,213,212,224,203,201,214,221,200,203,211,202,204,201,208,209,213,223,224,206,205,213,200,211,224,214,211,203,205,212,206,211,213,211,213,216,219,202,207,217,105,111,6,6,110,100,104,200,214,202,207,219,218,215,208,206,200,218,215,219,224,200,217,208,207,218,216,200,221,220,212,203,208,223,105,111,6,5,5,5,5,4,3,3,4,5,4,3,3,4,5,5,11,6,5,6,6,6,19,18,8,6,6,12,5,4,4,4,4,4,4,4,5,4,3,2,1,0,0,0,0
1,2,3,4,5,19,16,6,6,103,200,223,222,218,215,220,216,206,206,209,223,224,220,209,212,200,221,219,220,206,206,222,208,201,213,213,208,219,215,203,204,206,200,209,216,204,212,223,221,220,219,201,220,212,208,219,208,219,221,205,224,217,221,201,224,215,212,219,218,204,200,105,111,6,103,200,223,200,200,215,224,214,205,205,207,217,221,219,210,200,201,214,202,215,218,201,217,213,215,223,202,224,219,219,213,105,111,6,5,5,5,4,3,3,4,5,5,4,4,5,5,4,5,6,5,5,8,6,6,17,6,13,9,12,6,5,5,5,5,5,5,5,6,5,4,3,2,1,0,0,0
2,3,4,5,6,6,6,6,17,103,214,214,201,215,205,224,201,214,209,216,212,224,219,200,221,217,211,214,200,214,203,214,200,220,217,200,209,212,216,200,214,203,209,201,206,200,219,207,206,217,203,205,215,213,203,215,210,212,223,206,222,211,207,202,202,205,210,200,201,222,220,200,105,111,104,217,214,218,203,215,224,207,213,212,223,200,214,205,208,201,206,218,224,211,220,222,219,218,208,220,202,211,205,224,213,201,105,111,120,5,5,5,4,4,5,5,4,5,5,10,6,5,4,5,5,6,110,100,100,100,111,6,6,6,5,6,5,5,5,5,6,7,6,19,5,4,3,2,1,0,0
1,2,3,4,5,6,6,14,12,109,102,102,102,107,211,205,206,201,217,220,219,223,215,203,215,208,222,214,208,218,207,208,204,210,202,224,200,215,209,212,202,204,211,222,213,221,210,204,212,200,207,219,200,208,217,200,215,206,217,210,215,208,223,201,208,222,210,211,201,211,220,203,214,105,222,219,217,219,210,205,218,217,205,200,205,211,212,219,218,207,202,201,215,224,212,212,222,213,213,215,200,206,223,220,200,206,211,101,120,11,5,4,4,5,10,19,5,6,6,6,6,19,5,4,5,6,103,221,215,214,105,111,6,9,5,5,5,5,5,6,8,15,6,5,5,5,4,3,2,1,0
0,1,2,3,4,5,6,6,6,6,6,6,6,103,203,214,214,216,202,210,220,206,210,224,224,209,203,202,215,222,219,205,216,211,216,211,206,200,222,202,212,205,218,204,207,200,200,212,208,212,217,200,215,213,200,203,202,200,224,200,208,205,223,221,224,216,205,224,221,220,214,201,200,210,212,224,221,211,215,202,224,219,219,212,213,200,223,224,209,208,200,208,224,216,219,205,212,200,224,212,218,202,205,209,221,207,222,101,6,6,5,4,4,5,9,6,17,6,17,12,15,18,5,5,5,10,103,205,202,224,216,101,6,16,5,4,5,7,14,6,6,6,6,6,6,5,4,3,2,1,0
0,1,2,3,4,5,7,6,12,19,6,18,6,109,102,107,204,218,202,209,212,218,219,216,215,213,204,210,200,209,217,216,202,219,212,215,211,217,224,220,212,220,208,206,203,224,216,220,200,213,203,204,215,217,200,205,207,212,222,202,205,205,211,201,200,214,223,212,200,209,203,205,210,218,207,211,220,208,212,208,220,214,205,224,214,200,212,209,223,201,211,213,200,224,201,211,203,202,212,200,207,203,210,224,204,201,206,105,111,6,5,4,4,5,6,110,100,100,100,100,100,111,6,5,5,8,103,203,213,210,218,101,6,6,7,5,6,6,110,100,100,100,111,120,6,5,4,3,2,1,0
0,1,2,3,4,5,6,13,6,6,11,6,18,6,6,109,107,212,200,217,209,215,221,211,206,200,208,202,219,223,203,201,207,208,220,200,224,211,209,214,205,222,202,220,202,211,213,208,221,215,203,201,203,206,204,223,221,219,218,214,218,214,222,209,208,200,205,207,215,217,214,206,217,223,201,203,212,216,200,216,215,220,221,220,221,211,201,208,200,211,210,224,204,208,212,219,211,204,219,204,207,205,223,223,222,206,206,224,101,19,5,4,5,6,6,103,203,209,224,213,210,105,111,9,9,6,109,107,207,222,223,101,6,17,10,6,6,120,103,217,219,204,105,111,9,13,5,4,3,2,1
0,0,1,2,3,4,5,6,12,13,6,5,5,5,6,9,109,107,209,224,209,224,208,215,220,218,221,207,213,204,215,202,221,203,221,200,213,205,204,206,207,213,202,219,216,224,202,213,214,204,200,221,222,207,200,206,200,209,217,213,201,201,204,200,221,212,202,202,206,218,220,213,210,209,217,220,224,223,201,223,213,214,205,205,223,223,200,210,211,211,202,221,201,223,200,208,217,215,204,213,204,222,207,210,205,217,207,200,101,19,5,5,6,110,100,104,200,220,207,206,204,215,105,111,6,6,6,109,102,102,102,108,6,5,6,6,110,100,104,200,224,211,200,101,6,11,5,4,3,2,1
0,0,0,1,2,3,4,5,6,6,16,5,5,15,6,6,110,104,207,212,206,203,210,201,209,217,200,200,201,212,210,208,211,209,203,223,200,224,211,207,214,219,214,212,208,203,204,202,211,203,206,201,218,216,202,224,212,215,223,223,218,201,218,215,224,214,213,201,206,223,211,200,217,208,209,204,215,217,219,213,207,215,214,204,201,211,216,201,203,202,208,221,206,200,206,218,209,202,210,218,206,206,209,224,221,210,205,210,101,8,5,5,6,103,216,201,200,200,218,203,201,214,216,105,111,7,15,6,8,6,6,6,5,6,14,6,103,216,219,205,215,217,223,101,10,6,6,5,4,3,2
0,0,0,0,1,2,3,4,5,5,5,6,5,6,6,6,103,216,222,221,207,222,216,216,206,215,215,201,211,224,216,223,214,213,216,206,222,200,216,224,200,202,200,213,224,210,202,201,215,203,201,204,207,200,217,206,219,200,204,221,201,200,207,206,206,200,219,200,202,214,219,209,214,221,200,208,209,205,209,214,209,218,217,210,211,200,221,213,200,220,216,220,206,213,211,201,209,212,201,217,215,200,207,200,200,202,214,206,101,6,5,5,6,103,200,217,200,221,203,208,214,200,210,204,105,111,10,18,6,16,6,6,5,6,6,12,103,210,217,219,210,200,216,101,6,6,6,5,4,3,2
0,0,0,0,1,2,3,4,5,5,5,5,6,10,17,6,103,219,200,200,203,208,206,204,214,220,205,200,216,201,200,200,220,213,203,200,208,206,213,200,217,214,224,220,217,209,220,215,209,220,211,202,220,200,208,224,206,224,220,222,218,208,200,220,212,222,211,216,222,202,215,211,217,223,221,219,209,217,206,200,207,204,221,215,212,218,207,219,210,217,220,218,207,208,213,220,209,213,210,220,223,208,216,203,204,217,217,200,101,18,6,12,6,109,107,203,200,202,200,214,213,221,222,201,200,105,111,6,19,6,6,5,4,5,12,19,103,213,214,206,221,217,212,105,100,111,6,5,4,3,2
0,0,0,0,0,1,2,3,4,4,4,5,5,6,5,6,109,102,102,102,102,102,107,222,200,205,217,200,213,212,220,203,214,223,204,217,206,222,222,200,204,222,207,216,217,211,210,202,207,205,205,212,207,224,205,200,218,218,222,200,208,208,208,206,208,206,222,203,212,216,205,206,200,217,214,206,204,203,217,208,217,206,212,221,218,214,213,210,209,216,222,221,212,211,216,201,219,222,221,208,217,215,200,222,221,211,213,200,101,11,6,5,19,6,109,107,217,217,204,200,213,213,208,222,213,205,105,100,111,6,9,5,5,4,5,6,109,102,107,218,210,201,206,223,224,101,6,6,5,4,3
0,0,0,0,0,0,1,2,3,3,4,5,4,5,5,5,12,6,6,6,6,6,103,221,209,205,215,218,209,206,204,202,204,207,200,200,210,208,207,212,221,221,206,224,211,205,221,206,212,215,208,202,215,214,203,200,208,203,205,216,200,217,201,205,218,211,221,201,224,203,213,217,204,200,221,204,216,210,204,210,204,201,200,208,216,200,205,200,217,215,200,221,201,207,203,224,217,222,200,214,224,202,220,208,218,219,205,221,105,111,10,5,5,5,8,103,217,222,216,219,213,211,207,200,215,207,218,222,101,11,6,14,6,5,5,5,6,6,103,205,208,208,219,224,205,101,9,6,6,5,4
0,0,0,0,0,0,0,1,2,2,3,4,4,5,4,5,6,10,18,11,6,6,109,102,102,102,102,102,107,223,214,217,218,212,219,203,201,207,210,218,204,224,213,205,210,202,202,218,212,204,202,222,209,203,209,200,210,224,206,202,220,224,217,207,206,224,215,202,200,200,218,224,212,204,208,203,202,216,213,214,202,221,218,201,219,216,200,207,209,202,216,205,222,211,224,220,219,220,221,215,220,200,200,220,209,218,220,219,214,101,14,5,5,18,10,103,208,207,200,216,204,219,211,214,206,205,202,213,105,111,6,6,6,6,6,6,5,6,109,102,107,200,200,211,206,101,16,6,5,4,3
0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,5,12,6,6,5,5,6,18,13,6,7,6,10,109,102,107,209,209,207,204,207,216,202,210,206,200,223,205,202,201,207,221,205,200,212,200,214,214,219,213,207,223,208,211,201,202,204,204,222,216,205,207,209,207,217,200,207,206,207,214,210,210,223,210,209,208,217,211,201,206,211,204,209,221,218,200,213,218,213,213,207,213,219,224,217,202,222,218,211,216,218,213,223,211,101,6,5,18,17,110,104,222,212,218,202,213,213,212,204,206,209,217,208,213,105,100,100,100,100,111,6,6,5,10,6,109,107,221,205,217,101,18,5,4,3,2
0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,5,6,5,4,5,5,6,15,6,6,6,10,13,11,103,213,201,219,201,210,222,222,217,224,219,215,214,216,212,208,200,218,215,222,204,203,211,204,203,214,212,203,201,218,216,221,217,201,214,224,201,218,216,206,216,211,216,223,200,212,214,223,215,200,218,202,215,206,216,220,200,222,210,215,209,224,202,219,221,209,208,221,222,204,220,219,208,200,210,213,205,215,212,105,111,6,6,14,103,204,200,216,218,215,203,212,205,212,217,216,209,210,208,200,211,224,204,210,105,111,17,5,5,5,15,109,102,102,102,108,6,5,4,3,2
0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,5,4,3,4,5,5,6,6,13,6,16,110,100,104,218,210,204,223,208,203,213,213,215,219,214,218,209,200,203,206,202,214,216,213,200,214,224,213,200,221,222,207,212,200,217,200,224,216,206,206,224,210,200,211,213,202,202,218,221,207,224,224,210,209,209,215,200,210,218,208,204,218,200,216,200,205,219,217,217,223,221,209,211,206,201,213,220,215,205,213,205,220,224,105,100,111,110,104,207,217,205,220,219,221,212,220,218,224,214,200,207,216,209,200,213,206,202,210,101,6,6,5,5,5,6,6,11,6,6,5,4,3,2,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,4,3,3,4,4,5,6,17,9,6,110,104,220,200,220,206,220,201,202,221,213,219,200,219,205,219,224,215,205,209,202,213,206,219,221,209,219,206,219,210,214,216,211,200,206,204,203,200,210,221,210,220,203,210,206,203,210,218,219,203,217,200,220,200,224,218,217,216,200,218,218,223,209,211,217,222,221,223,200,214,205,211,217,208,213,213,223,220,200,219,208,201,224,212,209,105,104,209,217,222,200,216,207,200,207,222,219,217,211,224,200,206,206,217,215,217,213,224,105,111,6,5,5,4,5,5,5,5,6,5,4,3,2,1
0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,5,5,4,4,5,5,6,16,18,110,100,104,200,200,208,204,203,208,220,222,204,215,214,204,220,200,223,213,214,204,206,201,213,221,106,102,102,107,219,204,205,219,200,223,223,220,213,219,220,220,215,204,215,200,202,200,202,208,220,217,208,207,203,201,203,211,210,207,216,212,214,209,206,215,219,213,222,200,202,219,205,200,217,207,221,201,215,206,205,204,215,203,206,211,220,219,223,215,200,206,203,221,215,209,200,214,223,211,209,200,204,200,222,219,218,211,224,220,209,216,105,111,6,6,5,6,5,4,4,5,4,3,2,1,0
0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,5,6,5,5,5,17,5,7,110,100,104,221,217,222,224,220,202,200,206,205,208,218,202,204,211,206,200,214,209,215,201,208,200,106,102,108,6,8,109,107,212,213,213,221,206,210,211,205,206,219,209,218,202,211,210,200,208,219,214,208,214,204,204,210,209,205,216,209,218,206,203,200,204,203,214,201,207,213,204,202,214,203,220,205,223,220,223,207,206,208,206,200,206,201,200,210,215,211,209,213,223,208,218,208,200,210,205,214,215,220,204,221,221,212,210,223,213,202,212,210,202,201,105,100,111,6,5,5,4,3,4,3,2,1,0,0
0,0,0,0,0,0,0,0,1,2,3,3,3,4,5,6,6,18,5,6,18,6,6,103,203,216,203,201,214,206,216,216,222,204,201,205,204,211,224,208,200,203,205,205,210,219,220,106,108,6,15,6,13,6,103,210,212,203,206,215,222,222,201,203,217,201,215,201,208,214,201,220,201,220,200,217,212,204,213,218,213,220,201,222,219,220,202,204,213,200,222,202,220,202,213,221,210,219,213,208,200,220,202,200,222,212,201,217,200,206,214,209,205,202,210,218,207,217,212,208,202,218,210,214,217,208,214,203,204,221,217,220,213,219,220,200,205,210,221,105,111,8,5,4,3,3,2,1,0,0,0
0,0,0,0,0,0,0,1,2,3,4,4,3,4,5,6,6,7,5,5,6,5,6,103,200,218,224,200,206,210,222,200,202,204,204,220,219,200,205,204,207,207,223,200,220,214,201,101,6,6,9,5,6,6,103,224,200,223,214,202,202,213,219,200,217,218,216,217,207,201,213,200,222,202,218,213,203,221,222,224,208,200,200,222,200,204,207,204,219,205,200,210,204,214,220,202,217,205,224,210,211,207,213,211,218,214,206,219,201,206,220,213,200,200,222,204,201,204,200,211,218,216,210,217,224,219,209,204,205,211,201,200,211,207,223,213,211,205,218,200,101,6,5,4,3,2,1,0,0,0,0
0,0,0,0,0,0,1,2,3,4,5,5,4,5,6,6,6,16,5,6,5,5,15,103,212,217,205,207,212,217,206,202,204,224,207,224,210,206,211,206,216,212,205,211,210,216,106,108,6,6,5,5,6,6,103,208,213,200,205,200,214,217,223,221,214,215,200,224,219,202,211,200,203,219,211,219,219,202,214,202,212,200,222,204,223,200,200,213,209,209,218,200,200,222,208,222,207,208,200,212,206,211,200,216,201,218,209,209,214,206,222,214,203,213,222,211,210,211,216,214,223,200,206,212,207,215,214,205,209,220,205,203,205,203,200,211,212,214,223,222,101,6,5,4,3,2,1,0,0,0,0
0,0,0,0,0,1,2,3,4,5,15,5,5,6,6,9,18,5,6,6,13,6,110,104,222,216,219,217,202,207,215,200,217,221,220,200,214,218,216,212,206,216,218,224,215,204,101,6,6,5,5,6,6,110,104,208,206,202,202,214,206,210,202,208,207,216,205,222,213,208,204,208,203,201,212,202,216,212,214,207,200,220,217,206,218,220,201,200,216,207,210,205,220,216,213,200,213,224,209,209,221,222,222,205,212,202,203,212,212,208,209,217,220,206,203,216,216,223,202,208,202,221,202,215,223,200,224,219,200,202,206,201,204,215,222,211,211,215,218,203,101,17,5,5,4,3,2,1,0,0,0
0,0,0,0,1,2,3,4,5,6,6,7,5,6,120,6,5,5,6,6,6,6,103,206,214,208,213,207,215,221,201,216,212,217,212,201,209,212,208,200,220,200,200,222,216,106,108,11,5,9,8,6,6,103,221,200,215,219,201,212,203,208,205,205,205,221,200,207,209,204,222,213,210,210,202,212,205,215,213,204,200,210,203,213,203,211,212,204,207,200,214,205,216,204,209,201,215,220,200,221,211,215,206,224,223,206,209,200,207,210,214,205,211,205,216,219,207,200,200,201,221,214,214,211,221,202,219,200,201,207,222,220,200,214,224,214,201,220,221,209,101,6,6,5,4,3,2,1,0,0,0
0,0,0,1,2,3,4,5,6,6,6,19,6,6,6,15,6,7,14,110,100,100,104,206,217,224,210,203,210,211,205,221,204,223,217,219,214,224,203,200,219,222,205,106,102,108,6,6,5,5,6,6,6,103,201,200,219,224,224,221,224,219,217,216,209,201,207,205,209,200,224,222,206,210,218,217,217,200,201,220,203,209,221,218,215,221,203,211,224,216,209,200,220,206,221,208,204,200,221,216,200,208,201,203,203,211,202,208,200,204,201,223,202,215,210,211,222,216,200,200,219,223,213,200,200,219,202,221,206,206,224,215,204,213,221,200,212,200,200,221,101,12,6,6,5,4,3,2,1,0,0
0,0,1,2,3,4,5,4,5,6,18,6,110,100,100,100,100,100,100,104,206,211,211,211,205,217,201,203,204,200,212,219,217,214,216,208,217,223,205,204,209,200,224,101,6,6,10,8,6,6,6,6,14,109,107,220,209,217,215,216,215,203,221,208,222,217,211,218,201,222,221,200,203,200,206,218,206,204,223,214,212,210,204,214,221,216,215,201,220,201,212,211,206,215,205,200,213,210,218,200,223,211,202,210,202,200,214,209,211,224,200,205,213,200,224,209,220,218,206,200,216,201,210,209,203,211,221,214,213,208,200,215,212,206,206,106,102,102,102,102,108,11,6,6,5,4,3,2,1,0,0
0,0,0,1,2,3,4,5,5,5,6,110,104,212,200,212,214,208,200,205,205,200,221,200,214,218,213,220,212,224,223,220,207,219,203,219,207,223,224,223,213,209,209,101,11,16,12,13,5,13,9,6,18,6,103,221,210,200,200,223,222,211,215,212,200,210,203,207,200,202,220,209,221,200,210,212,207,200,203,207,218,204,215,222,207,201,211,209,213,200,217,208,206,200,200,221,209,211,217,217,209,207,215,208,211,200,213,220,224,200,211,207,204,214,205,218,213,200,204,212,217,214,200,212,201,208,222,206,222,220,214,106,102,102,102,108,15,6,6,6,18,5,6,5,4,3,2,1,0,0,0
0,0,1,2,3,4,5,5,5,5,6,103,219,215,201,210,209,221,223,207,204,200,221,213,224,210,221,208,212,220,211,207,207,220,213,223,210,219,210,213,203,206,106,108,6,19,19,17,6,8,11,6,16,6,109,107,205,202,222,214,215,218,217,216,220,224,219,201,203,201,221,209,211,213,223,223,200,216,217,204,211,209,222,204,220,202,202,212,212,210,207,208,224,224,215,220,223,203,224,200,209,201,208,204,200,223,200,200,214,213,208,224,212,207,220,208,202,205,217,217,209,205,209,206,222,211,204,220,209,106,102,108,9,6,6,6,5,14,11,15,10,5,5,4,3,2,1,0,0,0,0
0,0,1,2,3,4,5,5,5,6,15,103,220,202,220,208,200,203,220,223,223,222,214,212,203,206,200,217,214,222,207,203,200,217,206,204,207,200,209,215,207,200,101,8,6,13,6,110,100,100,100,111,6,17,6,103,214,200,208,215,208,223,221,222,200,219,220,215,200,202,219,203,210,220,216,200,214,201,220,217,212,201,221,218,216,208,217,207,206,200,212,215,204,204,201,224,202,200,219,210,206,220,221,213,219,208,200,219,218,213,222,206,219,204,213,216,205,205,224,209,217,214,217,206,212,220,203,106,102,108,6,6,6,5,5,5,4,5,5,5,5,4,4,3,2,1,0,0,0,0,0
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0,0,1,2,3,4,5,4,5,9,6,103,204,202,202,210,218,221,201,212,208,200,224,224,207,215,200,204,223,206,219,213,220,202,216,200,224,200,200,214,204,212,105,100,100,104,214,211,209,200,217,105,111,6,110,104,208,224,206,216,207,204,209,221,209,217,208,213,216,200,223,200,201,203,218,212,201,214,202,216,215,220,222,215,205,205,213,202,209,204,210,217,218,207,210,200,222,207,209,222,203,216,204,205,208,211,219,205,217,207,215,206,202,212,208,200,224,212,202,200,200,200,203,203,203,221,101,6,18,6,6,6,5,6,5,5,5,4,3,3,3,2,2,1,0,0,0,0,0,0,0
0,0,0,1,2,3,4,5,5,5,6,103,209,206,224,205,208,216,206,220,204,220,200,212,213,208,220,218,212,210,211,202,219,216,212,214,210,210,204,200,203,214,217,207,202,203,210,208,218,217,221,217,105,100,104,215,206,200,213,217,224,222,200,216,204,203,216,221,208,217,208,220,220,200,200,214,210,217,215,201,212,218,219,201,218,211,204,220,209,207,204,223,213,201,202,220,224,205,203,204,204,223,205,213,200,204,217,207,200,207,224,221,223,220,206,201,214,212,220,218,222,218,202,200,208,200,105,100,100,111,6,6,6,16,6,6,6,5,4,3,2,1,1,0,0,0,0,0,0,0,0
0,0,0,1,2,3,4,5,6,5,6,103,208,217,201,209,203,206,214,200,219,201,221,210,220,211,201,221,221,218,206,220,209,217,210,217,200,224,222,205,224,205,211,200,222,205,214,214,210,211,211,202,212,215,221,203,203,201,205,208,224,215,201,212,204,213,219,222,219,205,205,210,219,210,212,222,202,213,213,214,223,217,221,209,224,208,202,204,204,213,203,217,204,200,200,215,222,219,222,212,208,204,204,200,206,215,215,212,224,209,211,203,200,209,220,203,216,211,215,216,201,207,207,218,214,203,220,224,201,105,100,100,100,100,100,111,6,6,5,4,3,2,1,0,0,0,0,0,0,0,0
0,0,0,1,2,3,4,5,5,5,6,109,107,210,222,211,209,212,211,207,200,211,206,205,210,210,216,211,217,205,208,211,223,207,201,218,210,222,205,201,200,208,202,206,200,218,206,215,215,208,201,213,220,209,212,213,200,209,217,211,213,208,200,215,204,200,206,212,209,205,221,203,200,217,200,202,205,206,221,218,200,201,218,203,212,219,217,210,200,218,203,219,220,214,200,211,202,206,200,200,223,200,214,217,220,212,208,220,203,219,203,218,216,219,220,208,219,206,217,200,224,223,200,219,202,203,213,200,207,215,222,224,200,204,205,105,111,6,10,5,4,3,2,1,0,0,0,0,0,0,0
0,0,1,2,3,4,5,4,5,6,6,6,103,224,217,224,200,208,202,215,218,222,222,202,211,203,213,212,200,200,213,200,200,205,210,200,200,224,224,209,203,216,224,203,219,205,200,202,211,220,223,204,214,217,204,201,218,215,208,209,211,210,222,222,215,214,215,200,204,202,206,219,205,217,218,215,216,217,205,222,219,201,216,222,206,212,210,200,220,202,208,206,207,200,215,218,223,216,209,215,200,208,219,205,217,207,210,223,212,217,208,204,215,200,207,203,217,224,212,210,216,216,221,211,200,200,202,212,219,205,207,215,214,202,205,216,105,111,6,6,5,4,3,2,1,0,0,0,0,0,0
0,0,1,2,3,4,5,5,5,6,6,11,103,215,224,203,200,200,211,222,211,213,224,205,216,222,204,214,212,224,216,221,209,218,213,212,219,202,214,221,200,217,210,207,218,212,206,203,208,215,202,219,214,223,200,224,202,200,200,223,206,211,213,210,222,204,218,200,208,209,224,201,212,209,212,222,207,219,207,221,206,203,211,222,223,205,221,209,200,219,216,208,215,203,203,207,222,218,200,212,204,216,200,206,219,207,215,218,221,223,207,204,203,208,216,221,210,204,212,204,221,202,210,206,210,208,216,204,203,200,222,216,217,206,211,212,205,105,111,10,6,5,4,3,2,1,0,0,0,0,0
0,0,1,2,3,4,5,4,5,5,5,6,109,107,211,212,211,216,212,222,208,207,200,224,206,209,207,212,210,222,221,214,206,207,200,206,223,215,219,218,201,222,206,221,205,218,200,201,205,201,218,200,202,218,213,201,224,216,206,207,202,210,216,206,206,211,212,200,219,216,202,224,205,216,204,220,216,221,218,215,203,210,211,218,219,202,213,206,214,213,209,202,210,210,215,224,219,201,212,222,209,215,214,217,207,200,221,217,209,202,210,210,221,212,210,220,210,213,213,215,204,214,208,221,201,200,214,217,213,223,219,212,209,200,209,217,210,205,101,6,5,4,3,3,2,1,0,0,0,0,0
0,0,0,1,2,3,4,5,6,5,5,5,6,109,102,107,219,206,212,213,222,219,218,201,213,220,200,205,200,200,200,216,203,218,221,211,214,212,217,203,200,224,209,219,208,206,222,214,201,212,219,219,200,202,209,223,200,205,212,200,207,215,206,219,219,211,212,219,210,211,211,212,214,209,220,204,222,203,214,208,210,208,218,208,223,207,204,200,208,205,219,203,214,208,203,200,223,219,203,210,203,209,200,203,223,209,218,206,223,224,206,204,214,221,205,209,201,221,207,213,205,200,201,205,208,210,218,212,207,223,211,201,208,218,204,222,218,215,101,6,5,5,4,4,3,2,1,0,0,0,0
0,0,1,2,3,4,5,12,13,6,9,17,5,6,6,109,102,102,102,107,211,222,219,201,210,224,215,209,216,210,218,205,213,201,222,216,224,200,217,213,218,201,208,208,209,216,206,216,209,220,224,204,216,200,205,220,219,209,207,223,221,200,210,219,200,207,223,203,200,214,218,205,210,203,221,202,223,217,207,208,203,200,218,220,222,207,215,218,212,223,106,102,102,102,102,102,107,219,106,102,102,102,102,107,211,222,201,200,200,221,218,216,200,202,212,221,216,213,207,209,205,207,212,222,201,212,204,224,214,217,217,223,219,212,209,200,206,211,105,111,6,5,4,5,4,3,2,1,0,0,0
0,1,2,3,4,3,4,5,6,6,120,6,6,5,6,7,6,14,11,109,107,213,208,218,202,200,200,215,219,210,212,221,203,215,208,210,216,210,216,214,208,209,215,208,217,213,208,223,210,205,212,215,208,214,203,203,206,200,223,222,219,222,213,210,212,207,211,216,221,208,204,208,207,215,219,200,204,222,203,223,221,207,203,209,216,220,206,106,102,102,113,100,100,100,100,100,112,102,113,100,100,100,100,104,222,209,221,210,216,219,212,211,204,200,212,221,206,200,209,208,215,222,205,205,218,217,205,201,222,224,201,201,213,200,219,219,222,204,217,101,6,6,5,6,5,4,3,2,1,0,0
1,2,3,4,5,4,5,4,5,8,8,14,5,5,5,6,6,10,5,6,109,107,200,208,200,202,224,224,200,212,207,203,224,223,206,200,203,200,216,211,215,219,202,200,224,209,222,213,224,218,208,210,220,219,219,208,200,223,223,205,203,223,209,201,221,220,207,209,208,203,223,216,213,221,200,217,200,206,200,220,212,204,219,220,209,200,106,113,100,100,104,217,200,200,209,224,105,100,104,216,207,224,211,220,224,224,217,216,200,213,222,210,214,211,207,219,202,212,222,200,208,205,223,214,215,213,206,209,215,224,212,204,222,217,214,202,211,214,216,101,18,5,5,6,5,4,3,2,1,0,0
1,2,3,4,5,4,4,3,4,5,5,5,4,5,5,10,17,6,5,13,6,109,107,212,220,209,208,210,209,222,217,218,201,219,208,216,215,216,224,222,218,204,200,204,205,206,212,214,213,206,211,203,213,205,207,205,212,217,206,218,205,204,212,210,216,208,219,207,215,218,200,223,205,217,222,215,204,213,212,202,203,213,202,207,207,211,101,103,214,201,213,200,209,223,216,200,212,212,211,213,209,210,221,210,221,217,203,200,216,215,211,210,204,212,218,215,206,208,216,218,210,213,215,204,201,200,203,211,200,201,216,210,214,206,202,213,204,224,213,101,6,5,6,6,6,5,4,3,2,1,0
1,2,3,4,5,4,3,2,3,4,5,4,4,5,6,19,6,6,19,8,7,15,103,222,224,219,219,206,206,220,221,207,208,206,204,200,215,217,208,218,208,201,213,204,212,224,206,209,222,219,210,224,220,203,204,215,204,213,219,224,214,222,210,202,214,207,207,210,219,202,203,203,202,223,204,217,208,207,211,216,201,207,211,208,206,210,101,103,214,221,216,217,215,219,200,200,212,221,220,215,211,203,202,206,212,221,200,204,203,218,206,205,217,209,218,200,222,200,222,212,206,212,200,200,200,221,210,211,210,219,205,200,216,215,224,211,210,204,201,101,6,6,6,6,6,5,4,3,2,1,0
0,1,2,3,4,3,2,1,2,3,4,3,3,4,5,6,10,5,5,6,6,6,109,107,221,218,207,216,207,204,204,211,204,206,210,221,212,213,204,207,205,212,202,215,200,202,202,212,204,216,200,217,217,206,207,205,201,211,221,205,201,216,209,212,207,213,200,202,218,223,219,201,207,208,209,207,216,220,211,223,209,200,208,220,214,217,105,112,107,200,215,222,215,214,219,207,200,200,210,224,220,206,214,209,206,200,200,205,215,200,209,219,207,202,212,220,204,213,220,207,215,209,209,221,220,220,214,216,213,213,213,211,216,219,214,213,221,224,218,101,6,5,5,6,5,4,3,2,1,0,0
0,0,1,2,3,2,1,2,3,4,5,4,3,4,5,5,5,4,5,5,5,6,6,103,218,209,220,204,201,202,208,201,219,203,223,202,205,219,206,212,213,200,220,223,202,214,216,200,214,218,200,218,202,220,217,218,203,223,211,204,208,217,212,214,206,222,220,217,204,213,208,205,200,223,201,211,217,201,218,213,212,222,218,218,200,207,200,101,103,200,208,208,204,217,214,201,200,221,222,203,221,200,214,208,207,207,204,209,218,221,203,214,205,224,210,216,205,216,200,205,200,218,220,204,207,204,204,212,217,216,201,200,207,218,203,224,210,205,200,101,6,6,6,14,5,4,3,2,1,0,0
0,0,0,1,2,1,2,3,4,4,4,5,4,5,4,4,4,3,4,5,5,9,6,109,107,216,215,207,220,218,214,210,221,207,206,218,217,223,211,212,203,224,216,200,222,218,204,200,206,204,207,219,201,210,220,205,207,210,219,204,208,224,200,211,204,213,209,215,224,207,224,217,206,222,203,223,216,200,209,213,207,210,205,222,212,203,224,101,103,200,209,213,205,204,204,200,206,218,212,201,219,200,215,224,216,220,223,221,211,201,216,217,211,224,200,201,215,203,206,218,210,210,204,208,215,201,213,222,219,200,203,205,214,201,208,206,217,224,200,101,6,6,6,8,7,5,4,3,2,1,0
0,0,0,0,1,2,3,4,5,5,5,5,5,5,5,4,3,4,5,6,12,8,6,6,103,219,206,202,217,205,218,221,222,223,200,213,218,202,219,206,220,224,215,224,221,202,221,200,200,216,223,211,203,220,202,201,205,224,214,210,217,204,222,216,204,217,203,210,223,217,220,221,203,212,222,220,217,208,212,209,209,203,214,205,224,221,209,105,112,107,207,201,213,200,213,211,201,223,215,205,223,207,209,224,216,208,215,224,208,200,201,204,200,223,215,209,223,224,207,203,208,207,206,202,214,201,206,209,222,204,217,206,215,220,221,207,224,200,106,108,6,6,11,15,5,5,4,3,2,1,0
0,0,0,1,2,3,4,4,5,6,6,6,5,5,5,5,4,5,6,6,6,6,120,6,103,203,224,220,208,202,216,210,201,212,224,216,221,214,200,200,219,215,224,222,202,221,218,220,206,213,222,205,207,218,204,209,208,217,203,200,210,204,215,205,222,201,208,200,211,201,220,201,214,211,200,212,212,215,215,206,216,207,216,214,208,223,208,208,101,103,211,211,216,201,205,204,222,217,217,204,217,202,204,207,209,216,220,217,202,211,204,214,210,202,210,214,211,207,201,206,219,218,220,214,220,210,214,200,221,200,200,212,202,200,221,106,102,102,108,6,6,6,6,6,5,4,3,2,1,0,0
0,0,1,2,3,4,5,5,6,13,6,6,13,5,12,6,5,5,120,6,14,6,6,6,103,202,206,207,204,220,223,208,200,206,209,202,209,202,214,222,211,214,214,205,212,209,202,210,214,220,209,224,209,224,206,221,215,203,204,209,222,208,220,202,208,220,224,216,208,211,205,204,221,216,216,203,203,217,211,200,212,218,223,220,220,219,210,205,105,112,107,214,213,216,219,223,200,209,208,214,210,205,211,208,203,206,215,201,221,200,219,200,220,202,204,200,218,217,214,208,223,211,201,201,210,221,216,216,206,211,200,201,106,102,102,108,6,120,6,6,11,12,6,17,6,5,4,3,2,1,0
0,0,0,1,2,3,4,5,5,6,5,6,19,6,14,6,6,5,5,6,6,5,5,6,103,206,207,208,201,212,208,218,220,214,205,221,222,214,211,208,200,205,200,200,211,207,203,220,207,209,202,205,201,216,215,200,203,218,205,208,216,200,218,200,213,222,214,207,202,202,213,213,206,224,212,216,218,221,218,220,205,218,200,201,211,215,210,216,218,101,103,212,203,201,212,213,217,209,222,209,200,200,200,220,214,221,203,209,205,205,219,203,206,210,214,209,205,223,222,206,205,200,205,209,223,215,218,202,211,209,208,106,108,6,6,6,5,11,16,17,5,6,7,18,5,4,3,2,1,0,0
0,0,1,2,3,4,5,5,5,15,6,6,110,100,100,100,111,6,5,5,5,5,6,6,109,107,200,210,200,211,209,200,200,221,206,224,202,222,202,217,223,218,200,203,206,216,211,210,220,221,200,223,208,215,217,224,214,219,213,200,200,206,212,215,200,208,203,220,201,208,208,208,210,207,204,217,209,201,209,206,202,212,202,217,210,206,209,210,204,105,112,107,217,205,210,208,221,216,200,204,208,204,216,201,208,220,204,221,213,205,215,205,204,213,212,215,200,200,221,218,208,211,211,206,216,212,209,201,200,200,106,108,13,6,6,5,5,7,6,5,5,5,5,5,4,3,2,1,0,0,0
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0,0,1,2,2,3,4,5,5,6,10,6,6,6,103,212,217,216,200,200,215,215,205,211,218,211,201,221,201,221,208,214,216,210,223,206,212,223,207,200,223,200,202,222,212,214,204,200,219,215,215,222,211,223,204,207,200,211,210,204,204,202,203,222,213,200,214,200,201,200,208,206,205,215,210,217,224,212,204,211,214,214,224,220,206,216,212,200,215,224,216,219,205,221,224,220,200,223,201,217,200,217,216,217,214,205,219,210,200,200,212,210,219,201,222,222,200,203,221,212,211,222,222,210,223,207,209,205,200,203,105,111,6,6,6,5,5,4,3,4,4,3,2,1,0,0,0,0,0,0,0
0,1,2,3,3,3,4,5,5,6,8,6,6,110,104,217,203,212,211,220,213,215,210,218,203,202,214,216,206,224,221,203,211,203,207,206,207,223,223,201,221,206,213,206,204,214,205,211,201,201,214,223,212,215,210,203,206,223,218,205,223,213,217,211,200,201,219,206,212,202,203,207,204,203,214,224,222,215,214,214,206,206,201,214,212,206,207,217,205,210,223,221,211,206,211,207,206,217,224,214,212,202,215,207,206,218,208,206,218,202,206,204,207,212,200,217,214,200,201,212,215,205,200,221,210,217,221,217,218,204,202,105,111,13,5,5,6,5,4,3,3,2,1,0,0,0,0,0,0,0,0
1,2,3,4,4,4,5,6,9,5,6,12,110,104,200,205,200,224,205,210,209,200,217,221,212,219,202,218,208,204,202,200,200,220,212,210,200,211,211,210,215,204,218,200,203,222,212,215,211,216,202,223,212,213,221,206,219,211,202,224,212,219,200,218,223,212,220,200,204,207,221,204,214,222,224,221,201,200,209,209,209,215,219,204,213,205,218,205,207,209,217,203,203,212,216,217,220,200,209,205,220,217,202,203,202,200,216,204,206,201,216,210,218,201,208,200,212,220,208,222,224,222,219,213,209,200,210,216,203,222,206,220,101,19,10,5,6,5,5,4,3,2,1,0,0,0,0,0,0,0,0
2,3,4,5,5,5,6,6,6,6,15,6,103,217,206,222,201,200,200,222,217,203,214,209,201,221,223,218,216,213,201,224,213,204,223,223,210,224,209,210,213,209,221,202,210,202,206,221,216,208,203,222,212,200,218,210,208,216,201,224,216,212,221,221,211,207,203,221,206,211,215,213,216,224,216,214,222,200,217,207,222,209,210,224,207,222,213,212,219,203,200,216,221,200,217,212,201,216,210,216,200,223,221,221,214,218,207,201,217,206,224,223,224,200,200,210,211,215,207,200,221,219,209,223,204,214,210,211,200,214,200,200,101,6,6,11,5,5,6,5,4,3,2,1,0,0,0,0,0,0,0
2,3,4,5,5,5,5,6,110,100,100,100,104,224,202,212,207,224,208,207,203,211,213,211,201,208,209,220,210,215,222,224,204,205,215,201,207,213,202,212,212,220,220,207,211,211,218,206,200,201,202,201,200,221,214,218,201,201,200,224,211,211,224,200,219,224,203,210,203,213,213,203,214,209,213,215,215,218,200,205,218,208,214,214,218,217,223,208,200,210,202,211,201,200,219,212,214,210,200,214,214,205,203,222,216,201,223,219,214,206,201,213,208,208,200,217,214,217,218,219,202,215,211,221,202,220,202,209,212,200,205,210,105,100,111,6,6,5,5,5,4,3,2,1,0,0,0,0,0,0,0
3,4,5,6,6,10,6,6,103,210,223,207,204,215,215,211,202,208,210,220,222,204,210,224,205,208,214,214,223,223,220,216,217,212,203,208,210,221,206,214,200,203,212,215,209,209,215,205,211,207,219,209,218,209,223,212,218,204,200,201,221,210,203,201,207,216,214,223,210,215,202,220,209,207,210,200,220,204,213,200,203,211,210,207,205,211,200,213,202,212,210,201,223,214,201,209,206,219,219,210,211,217,211,222,200,211,216,221,209,215,219,204,216,203,202,202,201,200,219,211,221,201,201,207,202,212,209,205,209,205,207,208,207,223,101,6,6,6,5,5,4,3,2,1,0,0,0,0,0,0,0
4,5,6,6,13,6,110,100,104,207,212,211,211,213,211,203,222,220,217,208,208,217,218,204,220,207,207,221,220,208,211,210,215,218,213,209,202,220,202,206,224,201,202,205,204,211,207,205,201,200,221,217,222,210,203,206,201,211,210,216,221,224,209,219,219,200,220,209,215,217,211,221,214,202,200,215,212,204,200,201,208,223,221,205,206,206,209,213,202,215,202,211,214,205,200,200,200,200,216,206,206,201,207,215,208,204,214,214,206,200,207,206,210,200,221,209,210,224,217,214,204,215,211,220,216,218,204,201,200,203,202,215,222,221,101,17,18,5,5,5,5,4,3,2,1,0,0,0,0,0,0
3,4,5,6,6,6,103,202,206,213,204,212,222,218,206,213,204,217,201,201,218,207,210,218,208,202,219,213,222,212,221,206,223,221,209,224,215,224,200,219,210,204,212,219,216,213,220,213,200,216,219,223,209,217,223,208,206,202,207,209,200,200,218,213,208,207,224,202,200,215,218,205,212,214,208,211,222,205,205,200,215,200,215,220,219,200,218,202,214,213,213,221,219,213,215,218,220,200,211,209,208,211,208,216,207,224,224,223,210,217,208,200,209,207,212,213,208,219,200,220,203,224,200,221,217,213,211,224,212,221,211,203,204,223,105,111,6,5,14,5,5,4,3,2,1,0,0,0,0,0,0
2,3,4,5,15,6,103,201,224,204,215,202,208,212,220,203,220,211,212,219,222,208,221,208,220,201,211,200,200,209,223,214,207,204,209,200,200,214,212,201,223,217,218,220,205,206,213,207,220,203,224,221,206,212,200,208,206,222,200,206,200,220,220,223,203,209,223,217,207,219,201,220,217,216,215,208,208,202,202,202,210,216,204,219,201,222,210,205,201,215,202,207,200,205,200,207,220,205,201,218,202,224,214,206,200,218,212,210,211,216,207,215,204,218,215,205,201,200,200,203,210,218,220,220,224,216,217,207,202,200,200,207,206,222,207,101,15,6,5,5,5,4,3,2,1,0,0,0,0,0,0
2,3,4,5,6,6,103,218,218,200,200,200,201,213,211,200,213,217,204,206,200,200,220,200,218,205,215,220,208,203,207,211,205,215,210,202,218,218,219,208,205,219,223,206,207,224,217,203,202,211,215,222,200,203,207,216,211,201,222,220,217,215,212,206,203,217,207,218,207,206,224,210,220,208,217,208,224,214,206,211,207,217,200,222,200,208,208,206,213,204,214,215,214,212,211,201,206,206,217,214,220,222,202,216,200,221,217,223,211,224,212,201,205,216,203,209,203,207,221,214,213,208,200,221,220,205,210,203,201,204,207,204,224,223,202,101,6,6,6,5,6,5,4,3,2,1,0,0,0,0,0
2,3,4,5,13,12,103,200,201,201,213,208,200,211,200,212,206,221,203,215,213,200,202,200,206,202,208,221,213,207,219,211,214,218,209,224,219,212,200,212,215,209,204,205,215,204,222,200,202,218,216,222,204,201,222,217,220,217,223,215,224,200,214,214,204,214,220,211,212,204,221,209,220,202,205,220,213,209,219,205,222,200,212,204,218,222,223,211,202,212,200,223,219,206,202,215,201,211,212,218,223,210,206,217,207,208,204,222,215,202,201,214,218,208,208,206,204,215,207,216,223,214,213,213,223,218,202,200,205,204,202,224,213,215,210,101,11,6,6,6,13,6,5,4,3,2,1,0,0,0,0
3,4,5,6,6,16,109,107,213,210,203,222,211,217,211,200,221,224,215,208,217,222,209,218,209,213,218,205,204,214,200,213,208,200,201,202,206,221,224,212,205,218,215,214,204,207,204,223,207,207,218,207,200,211,208,204,205,220,211,207,209,212,216,206,210,204,217,203,201,203,215,213,214,216,221,210,206,202,205,201,206,216,215,200,224,222,217,207,201,200,220,221,211,219,224,202,212,202,222,219,224,223,214,207,216,214,210,205,206,210,201,203,220,207,215,216,200,217,216,205,204,212,224,205,220,201,215,205,224,200,219,223,209,201,206,101,15,6,6,5,11,5,4,3,2,1,0,0,0,0,0
3,4,5,6,6,11,6,109,102,102,107,215,204,206,211,203,203,201,222,203,206,201,219,223,221,212,215,221,202,214,217,200,210,213,212,210,208,214,220,201,202,200,224,205,202,217,224,200,209,209,215,211,209,210,224,200,208,215,214,200,215,207,214,224,209,209,221,213,204,220,204,223,205,223,206,202,208,210,221,221,200,210,213,204,217,217,213,207,220,210,212,221,217,209,204,207,205,207,209,200,223,214,203,201,200,224,207,200,219,207,212,201,212,218,202,200,208,201,210,223,203,208,201,216,200,209,200,222,212,210,220,214,209,202,203,101,6,6,6,5,5,5,4,3,2,1,0,0,0,0,0
3,4,5,15,6,5,12,6,14,6,109,107,213,209,201,203,203,207,220,218,216,205,223,218,213,222,200,215,218,213,220,206,205,211,212,220,200,220,200,204,224,224,217,220,203,224,210,212,213,210,214,217,214,214,208,215,218,222,213,212,210,203,207,209,212,205,208,220,202,205,219,211,217,221,213,205,214,201,201,222,209,200,224,214,214,224,202,217,209,204,216,206,209,219,210,222,219,213,201,206,210,208,202,222,204,214,219,221,206,106,102,107,208,206,203,200,223,201,215,211,204,206,224,213,220,223,221,200,213,221,203,213,224,210,216,101,6,6,5,6,5,5,4,3,2,1,0,0,0,0,0
2,3,4,5,5,4,5,13,6,6,6,109,102,102,102,107,207,201,222,215,204,218,207,200,224,200,218,220,211,210,216,221,202,221,200,205,204,218,224,206,201,219,202,210,214,222,205,209,210,221,218,214,219,205,209,203,209,212,217,207,219,212,206,208,215,202,207,223,221,200,217,223,217,221,200,218,214,217,217,216,224,221,223,215,218,217,204,208,216,224,203,208,208,207,214,201,201,221,214,202,202,203,212,202,223,215,219,106,102,108,6,109,102,107,220,204,202,221,220,214,206,211,221,213,217,215,222,202,211,200,218,215,224,201,210,101,6,5,5,6,5,4,3,2,1,0,0,0,0,0,0
1,2,3,4,4,4,5,6,6,6,16,6,6,6,6,109,107,202,213,206,216,204,217,206,215,203,204,218,210,219,210,211,201,202,220,202,200,221,215,223,207,205,221,213,201,213,207,203,211,220,205,220,206,224,202,210,200,205,219,224,219,208,206,207,204,209,212,221,222,200,217,206,218,221,224,215,200,200,201,220,207,215,205,203,212,221,212,215,211,222,200,215,201,203,216,205,211,201,222,203,220,215,209,205,219,209,106,108,6,19,6,17,6,103,219,203,200,218,223,209,217,220,224,200,223,221,211,213,223,209,203,200,209,206,201,101,6,18,5,5,5,4,3,2,1,0,0,0,0,0,0
0,1,2,3,3,3,4,5,5,5,5,6,6,6,6,15,103,206,218,203,217,212,203,205,223,200,216,203,213,215,203,215,206,211,217,210,223,223,210,216,218,221,202,222,211,215,223,200,203,206,211,214,215,213,220,217,216,210,200,205,211,214,212,218,222,211,204,200,216,208,220,220,214,200,200,213,200,216,223,216,220,211,213,218,218,219,223,201,214,213,213,216,215,214,217,200,202,200,220,210,208,224,222,200,106,102,108,17,6,5,5,6,110,104,223,215,209,220,211,200,206,203,209,201,212,218,209,209,215,219,208,211,201,201,200,101,8,6,6,5,4,3,2,1,0,0,0,0,0,0,0
0,0,1,2,2,2,3,4,4,4,4,5,6,5,120,6,109,102,102,102,107,221,212,200,208,200,219,216,218,207,214,224,215,218,205,224,223,205,210,212,224,201,211,208,213,224,203,220,204,201,204,200,222,220,212,204,218,220,209,223,215,223,215,205,204,201,213,222,202,222,205,200,207,203,216,223,224,224,214,215,214,217,204,213,200,210,202,219,200,214,202,205,212,217,200,218,218,211,200,213,207,215,211,211,101,6,6,6,5,5,6,110,104,202,215,218,214,222,203,210,218,216,205,210,203,206,221,202,212,214,216,215,209,205,106,108,12,6,6,6,5,4,3,2,1,0,0,0,0,0,0
0,0,0,1,1,1,2,3,3,3,3,4,5,4,5,5,6,14,6,6,109,102,107,202,208,217,203,217,214,224,203,203,200,200,208,222,221,215,209,213,215,224,213,205,221,223,205,211,210,224,214,222,208,215,200,211,217,208,211,212,209,203,207,206,217,217,210,208,212,210,212,211,205,223,222,221,216,210,224,209,212,200,208,224,202,212,224,218,208,212,202,217,220,210,223,200,200,212,220,204,223,222,216,106,108,6,6,5,5,6,15,103,219,216,200,216,223,201,211,208,206,210,204,203,208,210,207,223,223,221,207,210,203,210,101,6,14,6,15,5,4,3,2,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,2,2,2,3,4,3,4,5,5,6,17,6,6,6,103,200,220,215,219,200,221,224,208,200,221,224,211,214,214,213,216,200,218,216,213,214,211,217,210,222,222,207,204,210,203,206,201,210,201,204,204,209,200,220,204,200,217,211,200,218,202,219,218,218,201,218,202,208,217,207,200,204,219,200,207,223,200,204,200,218,223,222,212,200,203,201,222,214,207,223,218,220,223,208,212,101,8,6,5,4,5,6,7,103,220,200,224,219,210,214,220,223,202,223,206,204,202,212,200,224,215,219,200,224,215,106,108,6,11,6,15,6,5,4,3,2,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,2,2,3,3,4,3,4,4,5,6,5,6,6,109,102,107,200,202,200,203,216,207,217,213,209,214,208,216,201,209,212,205,207,207,200,217,207,210,222,212,213,200,212,214,200,211,224,222,215,207,224,220,222,200,211,208,213,201,224,220,207,206,204,208,205,200,219,214,208,203,206,206,206,213,211,208,200,219,211,212,207,221,221,221,209,217,222,213,217,205,214,212,208,106,108,6,15,5,5,6,6,110,104,219,200,207,210,210,222,213,203,216,207,222,203,219,204,219,202,211,223,200,207,106,108,6,12,6,6,6,5,4,3,2,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,2,3,3,4,4,5,4,3,3,4,5,5,14,6,6,110,104,202,221,207,210,210,218,210,210,224,205,222,208,224,223,208,200,203,223,206,216,202,220,221,213,200,216,217,223,200,201,209,214,223,218,200,222,200,222,216,218,205,209,204,207,205,207,201,221,212,204,215,214,219,212,202,219,211,223,220,212,212,200,202,209,224,207,200,220,222,211,223,222,218,212,212,218,106,108,6,7,5,5,6,10,7,103,210,200,220,223,202,220,203,201,209,220,201,207,204,214,211,223,200,218,209,208,213,101,6,6,15,6,5,5,4,3,2,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,3,4,4,5,5,15,5,4,4,4,4,5,15,8,6,103,206,214,205,222,220,213,209,208,213,209,205,204,200,216,212,206,207,216,213,205,203,202,201,206,213,209,221,212,201,206,214,215,216,200,201,209,220,210,202,207,215,213,221,213,217,222,200,220,205,209,202,209,221,200,204,202,213,202,215,205,207,202,212,205,206,200,219,200,217,212,214,216,200,221,223,207,215,101,16,6,5,5,6,6,6,110,104,203,200,206,215,207,214,223,204,216,221,217,211,210,214,222,210,202,204,219,106,102,108,6,6,6,5,4,4,3,2,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,2,3,4,5,5,6,6,6,6,5,5,5,4,4,5,19,6,103,224,211,210,204,207,222,204,200,200,221,206,220,207,212,203,223,219,221,211,200,200,218,218,222,203,222,207,200,212,223,203,209,221,222,212,221,224,219,220,212,216,223,211,205,218,224,204,200,207,201,218,200,217,206,221,222,206,201,200,219,222,221,205,211,200,200,215,212,206,203,204,202,213,215,212,209,209,101,6,6,6,7,10,110,100,104,210,217,200,214,200,200,207,203,218,202,203,202,209,203,206,216,214,201,201,106,108,6,17,18,5,5,4,3,3,2,1,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,2,3,4,5,6,6,6,6,6,6,5,5,4,5,6,6,6,103,202,210,203,204,221,200,223,204,211,200,202,204,207,218,212,218,202,214,200,211,214,220,205,204,212,215,220,223,203,206,204,219,221,205,207,206,207,206,201,223,216,217,220,202,206,209,206,210,211,223,206,211,213,223,207,210,216,222,216,202,214,207,216,221,220,218,203,222,208,222,201,216,205,207,220,217,222,105,111,6,6,110,100,104,218,202,215,200,207,200,219,200,203,208,205,219,221,212,212,211,218,206,213,106,102,108,6,6,6,5,5,4,3,2,2,2,1,2,1,1,1,0,0,0,0,0,0
0,0,0,0,1,2,3,4,5,5,13,110,100,100,100,111,6,12,5,13,12,6,6,103,210,224,204,211,204,215,216,222,218,218,203,216,205,217,200,200,207,209,207,200,219,223,224,207,209,200,212,204,200,217,215,203,200,210,216,223,207,203,210,216,221,205,209,207,202,217,219,209,211,219,224,212,208,210,208,211,224,216,210,206,210,216,200,201,201,202,211,206,209,214,203,211,205,200,201,208,218,204,105,100,100,104,214,210,201,217,200,206,215,222,206,213,213,200,220,224,201,202,219,203,220,205,106,108,6,6,13,19,6,5,4,3,3,3,2,3,2,3,2,2,2,1,0,0,0,0,0
0,0,0,1,2,3,4,5,17,5,6,103,218,204,213,105,100,111,14,6,6,16,13,103,216,205,212,210,215,210,200,207,200,211,207,211,220,222,208,200,214,211,222,213,203,216,215,220,207,205,221,213,218,220,220,202,218,222,201,212,220,209,200,200,211,200,205,210,200,204,212,207,212,215,223,214,218,212,204,212,211,218,220,212,216,208,217,202,218,224,215,215,223,209,211,207,220,209,211,200,219,217,201,208,204,221,218,201,203,209,210,208,200,211,223,200,200,214,217,207,216,203,209,211,211,106,108,17,15,6,6,6,6,6,5,4,4,4,3,4,3,4,3,3,3,2,1,0,0,0,0
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0,0,0,0,0,0,0,0,0,1,0,1,2,3,4,3,3,2,1,2,1,2,3,4,5,5,6,6,6,6,15,6,6,5,6,6,109,107,213,201,206,215,200,106,102,108,6,8,6,6,6,6,19,15,6,6,16,6,6,5,4,3,4,4,5,6,6,6,6,6,8,6,120,6,18,6,5,4,3,3,4,4,3,3,4,4,4,4,5,5,5,9,5,5,4,5,5,5,6,10,109,107,205,217,203,202,201,222,215,200,210,216,205,212,205,212,200,202,219,201,217,222,211,101,6,17,5,4,4,5,17,6,6,109,102,102,102,108,6,6,6,6,5,5,5,5,5,4,3,2,1
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0,2,4,10,14,

 1152 
 4416 
1
1
Tony Rasmus