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