Case #1: 3520
Case #2: 262035151
Case #3: 497739194
Case #4: 762796014
Case #5: 181526659
Case #6: 2373746
Case #7: 619271932
Case #8: 223386728
Case #9: 414974748
Case #10: 976780998
Case #11: 250999253
Case #12: 408939742
Case #13: 192239994
Case #14: 296712448
Case #15: 193611783
Case #16: 587510705
Case #17: 288849396
Case #18: 270487397
Case #19: 800731698
Case #20: 816824727
Case #21: 45287455
Case #22: 283112753
Case #23: 837057585
Case #24: 515062771
Case #25: 877386280
Case #26: 714186675
Case #27: 143891765
Case #28: 708835696
Case #29: 359065124
Case #30: 781598349
Case #31: 873170307
Case #32: 897361282
Case #33: 644903060
Case #34: 864637537
Case #35: 236700083
Case #36: 705311549
Case #37: 419732973
Case #38: 84815421
Case #39: 626168389
Case #40: 503402652
Case #41: 630535797
Case #42: 74873913
Case #43: 100018793
Case #44: 807449687
Case #45: 373341778
Case #46: 205510051
Case #47: 56084597
Case #48: 435911090
Case #49: 222481170
Case #50: 443116000
Case #51: 374749071
Case #52: 856977477
Case #53: 542120123
Case #54: 838789422
Case #55: 747793126
Case #56: 701291130
Case #57: 291535215
Case #58: 612509140
Case #59: 785302203
Case #60: 927126582
Case #61: 449828522
Case #62: 41974773
Case #63: 452621798
Case #64: 503016535
Case #65: 572021988
Case #66: 433100162
Case #67: 723846663
Case #68: 682235539
Case #69: 956070458
Case #70: 82898978
Case #71: 647943426
Case #72: 655213032
Case #73: 619570132
Case #74: 81954741
Case #75: 33426022
Case #76: 441677902
Case #77: 1366253
Case #78: 401758825
Case #79: 566900
Case #80: 951034217
Case #81: 898434034
Case #82: 259753767
Case #83: 267376664
Case #84: 648667847
Case #85: 755395859
Case #86: 495622006
Case #87: 617580551
Case #88: 452172976
Case #89: 810298524
Case #90: 158301234
Case #91: 236762888
Case #92: 996262703
Case #93: 180994338
Case #94: 308450384
Case #95: 243262686
Case #96: 765758595
Case #97: 564061278
Case #98: 306236296
Case #99: 542733267
Case #100: 302156108
Case #101: 990333199
Case #102: 779042221
Case #103: 367335896
Case #104: 121781160
Case #105: 275197625
Case #106: 477751182
Case #107: 956233494
Case #108: 406689005
Case #109: 511969556
Case #110: 378685288