Case #1: 5
Case #2: 2
Case #3: IMPOSSIBLE
Case #4: 5
Case #5: 162
Case #6: 164
Case #7: 28
Case #8: 27
Case #9: 158
Case #10: 158
Case #11: IMPOSSIBLE
Case #12: IMPOSSIBLE
Case #13: 14
Case #14: 84
Case #15: 166
Case #16: 4
Case #17: 162
Case #18: 157
Case #19: 21
Case #20: 159
Case #21: 38
Case #22: 39
Case #23: 16
Case #24: 53
Case #25: IMPOSSIBLE
Case #26: 160
Case #27: 20
Case #28: 171
Case #29: 157
Case #30: 20
Case #31: 162
Case #32: IMPOSSIBLE
Case #33: 9
Case #34: 78
Case #35: 19
Case #36: 78
Case #37: 14
Case #38: 170
Case #39: 169
Case #40: 5
Case #41: 158
Case #42: 169
Case #43: 12
Case #44: 172
Case #45: 14
Case #46: 53
Case #47: 156
Case #48: 83
Case #49: 5
Case #50: 41
Case #51: 54
Case #52: 81
Case #53: 163
Case #54: 22
Case #55: 2
Case #56: 166
Case #57: 11
Case #58: 167
Case #59: 54
Case #60: 170
Case #61: 1
Case #62: 160
Case #63: 11
Case #64: 171
Case #65: 171
Case #66: 159
Case #67: 79
Case #68: 4
Case #69: 168
Case #70: 82
Case #71: 53
Case #72: 159
Case #73: 174
Case #74: 37
Case #75: IMPOSSIBLE
Case #76: 20
Case #77: 168
Case #78: 41
Case #79: 162
Case #80: 15
Case #81: 3
Case #82: 16
Case #83: 3
Case #84: 161
Case #85: 13
Case #86: 13
Case #87: 170
Case #88: 53
Case #89: 12
Case #90: 39
Case #91: IMPOSSIBLE
Case #92: 15
Case #93: 173
Case #94: 166
Case #95: 163
Case #96: 162
Case #97: 155
Case #98: 164
Case #99: 54
Case #100: 41