Case #1: 6 
Case #2: 4 
Case #3: 1 1 1 1 1 1 
Case #4: 4 2 
Case #5: 1 1 
Case #6: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
Case #7: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
Case #8: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
Case #9: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
Case #10: 2 
Case #11: 16 16 16 16 14 10 2 
Case #12: 10 10 10 8 4 
Case #13: 14 12 12 10 6 2 
Case #14: 2 
Case #15: 2 
Case #16: 198 
Case #17: 134 
Case #18: 16 
Case #19: 162 
Case #20: 2 
Case #21: 136 62 
Case #22: 50 26 
Case #23: 2 
Case #24: 104 50 
Case #25: 2 2 
Case #26: 98 64 24 
Case #27: 80 50 6 
Case #28: 76 68 42 14 
Case #29: 76 56 34 6 
Case #30: 6 2 2 
Case #31: 42 32 16 6 
Case #32: 98 48 10 
Case #33: 70 44 10 
Case #34: 80 46 12 2 
Case #35: 70 42 16 2 
Case #36: 78 38 6 
Case #37: 18 16 2 
Case #38: 84 54 26 
Case #39: 72 46 20 2 
Case #40: 96 66 22 4 
Case #41: 88 50 12 
Case #42: 124 64 10 2 
Case #43: 38 32 26 6 
Case #44: 92 68 24 
Case #45: 26 22 6 
Case #46: 96 64 6 
Case #47: 122 56 16 
Case #48: 22 18 8 2 2 
Case #49: 78 66 14 2 
Case #50: 110 62 10 
Case #51: 86 80 30 2 
Case #52: 50 26 4 
Case #53: 34 26 12 
Case #54: 28 18 6 
Case #55: 34 12 
Case #56: 86 62 18 2 
Case #57: 94 66 16 
Case #58: 50 46 30 12 
Case #59: 16 10 
Case #60: 96 70 16 
Case #61: 44 40 4 
Case #62: 96 66 36 2 
Case #63: 2 2 2 
Case #64: 126 44 24 6 
Case #65: 56 26 8 
Case #66: 22 10 2 2 
Case #67: 78 20 8 
Case #68: 66 44 20 10 8 4 
Case #69: 36 34 22 20 18 18 14 10 
Case #70: 112 30 4 
Case #71: 90 26 4 
Case #72: 68 30 4 
Case #73: 50 22 10 2 
Case #74: 58 22 8 2 
Case #75: 16 6 2 
Case #76: 82 48 16 2 
Case #77: 20 10 2 
Case #78: 18 6 2 
Case #79: 80 40 10 
Case #80: 42 30 12 2 
Case #81: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
Case #82: 90 38 14 
Case #83: 56 24 8 
Case #84: 12 8 4 
Case #85: 70 52 20 16 14 6 
Case #86: 36 20 4 
Case #87: 6 4 
Case #88: 78 62 30 10 
Case #89: 94 48 14 2 
Case #90: 16 6 2 
Case #91: 46 30 14 2 
Case #92: 68 30 6 
Case #93: 18 8 
Case #94: 12 8 2 
Case #95: 84 34 12 
Case #96: 120 54 14 2 
Case #97: 44 16 4 2 
Case #98: 68 30 2 
Case #99: 98 44 10 
Case #100: 102 50 12 
