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