Case #1: 31
Case #2: IMPOSSIBLE
Case #3: 11
Case #4: 2
Case #5: 10
Case #6: 3
Case #7: 51
Case #8: 77
Case #9: 0
Case #10: 2
Case #11: 30
Case #12: 16
Case #13: 5
Case #14: 0
Case #15: 61
Case #16: IMPOSSIBLE
Case #17: IMPOSSIBLE
Case #18: 67
Case #19: 40
Case #20: 183
Case #21: IMPOSSIBLE
Case #22: 12
Case #23: 4
Case #24: IMPOSSIBLE
Case #25: IMPOSSIBLE
Case #26: 18
Case #27: 28
Case #28: 1
Case #29: IMPOSSIBLE
Case #30: 30
Case #31: 24
Case #32: 25
Case #33: 0
Case #34: 44
Case #35: 23
Case #36: 3
Case #37: 19
Case #38: 27
Case #39: IMPOSSIBLE
Case #40: 0
Case #41: IMPOSSIBLE
Case #42: 7
Case #43: 0
Case #44: 48
Case #45: IMPOSSIBLE
Case #46: 14
Case #47: 0
Case #48: 6
Case #49: 5
Case #50: 4
Case #51: IMPOSSIBLE
Case #52: IMPOSSIBLE
Case #53: 1
Case #54: 133
Case #55: 10
Case #56: 625
Case #57: 34
Case #58: 625
Case #59: 0
Case #60: 0
Case #61: 28
Case #62: 49
Case #63: IMPOSSIBLE
Case #64: 21
Case #65: 17
Case #66: 30
Case #67: 0
Case #68: IMPOSSIBLE
Case #69: 80
Case #70: 43
Case #71: IMPOSSIBLE
Case #72: 17
Case #73: IMPOSSIBLE
Case #74: 0
Case #75: 11
Case #76: 35
Case #77: 0
Case #78: 8
Case #79: 100
Case #80: 5
Case #81: 17
Case #82: 0
Case #83: 261
Case #84: 0
Case #85: 0
Case #86: 59
Case #87: 8
Case #88: IMPOSSIBLE
Case #89: 11
Case #90: 1
Case #91: 2
Case #92: 102
Case #93: IMPOSSIBLE
Case #94: 154
Case #95: IMPOSSIBLE
Case #96: 28
Case #97: 11
Case #98: 0
Case #99: 2
Case #100: 19
