Case #1: 6
Case #2: 4
Case #3: 3
Case #4: impossible
Case #5: 8
Case #6: impossible
Case #7: 1
Case #8: impossible
Case #9: 4
Case #10: 7
Case #11: 19
Case #12: 8
Case #13: 18
Case #14: 27
Case #15: 19
Case #16: 27
Case #17: 24
Case #18: 20
Case #19: impossible
Case #20: 62
Case #21: 38
Case #22: 48
Case #23: 43
Case #24: 3
Case #25: 27
Case #26: impossible
Case #27: 35
Case #28: 65
Case #29: 34
Case #30: 53
Case #31: 14
Case #32: 17
Case #33: 53
Case #34: impossible
Case #35: 38
Case #36: 1
Case #37: 44
Case #38: 63
Case #39: impossible
Case #40: 30
Case #41: 46
Case #42: 12
Case #43: 56
Case #44: 30
Case #45: 39
Case #46: 14
Case #47: 110
Case #48: impossible
Case #49: 87
Case #50: 31
Case #51: 17
Case #52: 6
Case #53: impossible
Case #54: 9
Case #55: impossible
Case #56: 4
Case #57: impossible
Case #58: 65
Case #59: 18
Case #60: 58
Case #61: 105
Case #62: 12
Case #63: 22
Case #64: 53
Case #65: impossible
Case #66: 125
Case #67: impossible
Case #68: 53
Case #69: 54
Case #70: impossible
Case #71: impossible
Case #72: 41
Case #73: 68
Case #74: 71
Case #75: 76
Case #76: 14
Case #77: 16
Case #78: 78
Case #79: impossible
Case #80: impossible
Case #81: impossible
Case #82: impossible
Case #83: 99
Case #84: 56
Case #85: 143
Case #86: impossible
Case #87: impossible
Case #88: 11
Case #89: impossible
Case #90: 15
Case #91: 118
Case #92: 36
Case #93: 99
Case #94: 101
Case #95: 141
Case #96: impossible
Case #97: 24
Case #98: 14
Case #99: 117
Case #100: impossible