Case #1: 500000004
Case #2: 125000001
Case #3: 666666672
Case #4: 417224706
Case #5: 441220242
Case #6: 292643605
Case #7: 34055078
Case #8: 243014554
Case #9: 528371796
Case #10: 168708976
Case #11: 823859441
Case #12: 340716898
Case #13: 340647621
Case #14: 26148474
Case #15: 631705621
Case #16: 530286576
Case #17: 306741528
Case #18: 143807222
Case #19: 191002887
Case #20: 296072160
Case #21: 73014008
Case #22: 98073449
Case #23: 396005760
Case #24: 70428402
Case #25: 400557895
Case #26: 368995513
Case #27: 303737326
Case #28: 808957398
Case #29: 887009086
Case #30: 354502857
Case #31: 510160366
Case #32: 341268041
Case #33: 703024182
Case #34: 127699992
Case #35: 794190534
Case #36: 848860570
Case #37: 1
Case #38: 951706775
Case #39: 200141527
Case #40: 0
Case #41: 629558063
Case #42: 447916778
Case #43: 0
Case #44: 712912438
Case #45: 792468093
Case #46: 742670514
Case #47: 920329791
Case #48: 740964382
Case #49: 164988244
Case #50: 712417022
Case #51: 0
Case #52: 529456960
Case #53: 0
Case #54: 39273226
Case #55: 0
Case #56: 655456692
Case #57: 382761802
Case #58: 673183761
Case #59: 771410305
Case #60: 0
Case #61: 657291301
Case #62: 651758982
Case #63: 579231828
Case #64: 146208960
Case #65: 816614554
Case #66: 0
Case #67: 679056295
Case #68: 919048560
Case #69: 894313683
Case #70: 453647882
Case #71: 959325490
Case #72: 0
Case #73: 534143315
Case #74: 428615959
Case #75: 85677495
Case #76: 288932301
Case #77: 994817869
Case #78: 375148943
Case #79: 152853518
Case #80: 439858143
Case #81: 868319828
Case #82: 387118767
Case #83: 581407723
Case #84: 681329671
Case #85: 239726253
Case #86: 753776615
Case #87: 528662763
Case #88: 742028182
Case #89: 559709729
Case #90: 838538596
Case #91: 0
Case #92: 100451225
Case #93: 461467184
Case #94: 168259494
Case #95: 756068389
Case #96: 878049285
Case #97: 953140833
Case #98: 229742768
Case #99: 574902075
Case #100: 658848891
Case #101: 860048781
Case #102: 66987724
Case #103: 689973504
Case #104: 491917937
Case #105: 174726147
Case #106: 507563359