2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w2a,26f,2a2a,26f,2a2w,f,2w,5f,2w,12f,2w,2f,2w2w,f,2w,5f,2w,2f,2w,8f,2w,2f,2w2a,6f,2w,4f,2w,5f,2w,5f,2a2a,6f,2w,7f,2w,2f,2w,5f,2a2w,8f,2w,5f,2w,5f,2w,2f,2w2w,3f,2w,3f,2w,f,2w,9f,2w,2f,2w2a,3f,2w,6f,2w,5f,2w,6f,2a2a,14f,2w,2f,2w,6f,2a2w,f,2w,4f,2w,5f,2w,4f,2w,4f,2w2w,f,2w,f,2w,f,2w,2f,2w,7f,2w,4f,2w2a,4f,2w,5f,2w,4f,2w,7f,2a2a,8f,2w,4f,2w,f,2w,2f,2w,3f,2a2w,3f,2w,3f,2w,4f,2w,5f,2w,3f,2w2w,3f,2w,f,2w,9f,2w,7f,2w2a,6f,2w,5f,2w,2f,2w,3f,2w,2f,2a2a,10f,2w,f,2w,7f,2w,2f,2a2w,3f,2w,5f,2w,8f,2w,4f,2w2w,3f,2w,f,2w,9f,2w,f,2w,4f,2w2a,6f,2w,f,2w,6f,2w,7f,2a2a,9f,2w,3f,2w,6f,2w,2f,2a2w,14f,2w,6f,2w,2f,2w2w,2f,2w,6f,2w,6f,2w,6f,2w2a,2f,2w,6f,2w,6f,2w,6f,2a2a,26f,2a2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w,2a,2w2,3,6,7,10,11,14,15,18,19,22,23,26,27,32,33,36,37,40,41,44,45,48,49,52,53,56,57,60,61,88,89,90,91,118,119,180,181,208,209,210,211,238,239,300,301,328,329,330,331,358,359,420,421,448,449,450,451,478,479,540,541,568,569,570,571,598,599,660,661,688,689,690,691,718,719,780,781,808,809,810,811,838,839,842,843,846,847,850,851,854,855,858,859,862,863,866,867,872,873,876,877,880,881,884,885,888,889,892,893,896,89773,78,80,85,95,97,99,101,107,116,126,128,133,135,138,139,141,143,155,157,166,171,176,193,203,214,216,222,226,229,244,248,254,255,262,266,274,278,290,311,315,317,318,322,324,334,336,342,344,354,368,373,378,401,402,405,410,411,423,425,429,437,445,452,457,464,465,472,475,488,492,499,524,533,536,545,551,557,573,577,579,592,604,617,619,626,641,644,666,677,681,683,685,693,695,699,704,710,727,731,742,768,772,774,783,786,789,791,795,797,817,824375
