Case #1: 11
Case #2: 80
Case #3: 6799
Case #4: 981633474
Case #5: 853956252
Case #6: 224024283
Case #7: 0
Case #8: 0
Case #9: 572526063
Case #10: 940944013
Case #11: 894285611
Case #12: 0
Case #13: 262
Case #14: 262895727
Case #15: 40
Case #16: 439159471
Case #17: 998386807
Case #18: 525556995
Case #19: 641598086
Case #20: 253522672
Case #21: 252890307
Case #22: 518537596
Case #23: 474850121
Case #24: 88286384
Case #25: 100979960
Case #26: 69959063
Case #27: 164134
Case #28: 835361497
Case #29: 1396
Case #30: 35737
Case #31: 0
Case #32: 473768703
Case #33: 56450686
Case #34: 46
Case #35: 956458784
Case #36: 4
Case #37: 0
Case #38: 406
Case #39: 66295576
Case #40: 14306756
Case #41: 827422176
Case #42: 61353886
Case #43: 950938867
Case #44: 75006225
Case #45: 372810825
Case #46: 271029281
Case #47: 127131455
Case #48: 1968
Case #49: 445705569
Case #50: 290009010
Case #51: 542580230
Case #52: 30544
Case #53: 138222578
Case #54: 966060214
Case #55: 652993309
Case #56: 739624
Case #57: 765026343
Case #58: 492463815
Case #59: 944518397
Case #60: 627087067
Case #61: 317342881
Case #62: 798732110
Case #63: 176949424
Case #64: 411901643
Case #65: 382469937
Case #66: 885249777
Case #67: 951713456
Case #68: 55312933
Case #69: 735094
Case #70: 31665948
Case #71: 10
Case #72: 54683437
Case #73: 451957598
Case #74: 13241728
Case #75: 1
Case #76: 777607105
Case #77: 759817829
Case #78: 928646175
Case #79: 86457474
Case #80: 8552734
Case #81: 559925580
Case #82: 839623515
Case #83: 896278556
Case #84: 933128998
Case #85: 661278082
Case #86: 506014825
Case #87: 185536
Case #88: 1120
Case #89: 11938240
Case #90: 565460867
Case #91: 34943301
Case #92: 0
Case #93: 976633553
Case #94: 95157103
Case #95: 459539713
Case #96: 988816227
Case #97: 745101754
Case #98: 59395936
Case #99: 88898254
Case #100: 4
Case #101: 797275691
Case #102: 899043823
Case #103: 416472239
Case #104: 132952