Case #1: 3
Case #2: 2
Case #3: 0
Case #4: 2
Case #5: 4
Case #6: 16
Case #7: 0
Case #8: 41
Case #9: 3994
Case #10: 4577
Case #11: 2
Case #12: 3
Case #13: 2
Case #14: 899501
Case #15: 1000000
Case #16: 520578
Case #17: 63351
Case #18: 2090
Case #19: 509
Case #20: 5226
Case #21: 5484
Case #22: 1036
Case #23: 0
Case #24: 360
Case #25: 749
Case #26: 2055
Case #27: 2636
Case #28: 4249
Case #29: 130
Case #30: 33
Case #31: 3515
Case #32: 192
Case #33: 4620
Case #34: 747
Case #35: 911
Case #36: 7288
Case #37: 1
Case #38: 4172
Case #39: 1608
Case #40: 111
Case #41: 3410
Case #42: 2604
Case #43: 2071
Case #44: 220
Case #45: 379
Case #46: 1
Case #47: 1057
Case #48: 305
Case #49: 254
Case #50: 0
Case #51: 2428
Case #52: 1
Case #53: 318
Case #54: 2570
Case #55: 1
Case #56: 2884
Case #57: 1233
Case #58: 338
Case #59: 1001
Case #60: 548
Case #61: 6513
Case #62: 2139
Case #63: 909
Case #64: 4948
Case #65: 129
Case #66: 810
Case #67: 172
Case #68: 967
Case #69: 1364
Case #70: 1
Case #71: 1539
Case #72: 1171
Case #73: 1723
Case #74: 2255
Case #75: 9
Case #76: 6762
Case #77: 2985
Case #78: 676
Case #79: 2253
Case #80: 2244
Case #81: 2694
Case #82: 1970
Case #83: 1229
Case #84: 1
Case #85: 139
Case #86: 2910
Case #87: 1066
Case #88: 50
Case #89: 6508
Case #90: 4068
Case #91: 1296
Case #92: 932
Case #93: 1
Case #94: 297
Case #95: 193
Case #96: 3305
Case #97: 3519
Case #98: 936
Case #99: 1
Case #100: 1
Case #101: 6030
Case #102: 1679
Case #103: 2683
Case #104: 3880
Case #105: 1141
Case #106: 331
Case #107: 4040
Case #108: 488
Case #109: 1652
Case #110: 1036
Case #111: 2337
Case #112: 2771
Case #113: 4170