Case #1: 0 1000000006 1000000005 0 Case #2: 999999999 999999997 999999989 0 Case #3: 999999866 999999960 999999839 999999979 Case #4: 999993978 999998905 999992627 999998774 Case #5: 298154141 32787572 172315353 565739849 Case #6: 105395412 38390487 914112682 569760176 Case #7: 519592367 445198565 248398690 585393474 Case #8: 908290768 956171123 619638578 116756253 Case #9: 667809825 747807147 572011819 549066347 Case #10: 836164578 415375975 877845654 518873747 Case #11: 970891121 303990749 892359134 398304334 Case #12: 468342502 958187162 707722683 142859513 Case #13: 873422881 223479639 792072232 486564239 Case #14: 286678333 543354386 222615566 323431935 Case #15: 624801388 734908898 758167899 458728388 Case #16: 754915616 196453762 878764330 933944142 Case #17: 259728569 155933956 571664708 212635123 Case #18: 521905150 843685970 109716165 583112008 Case #19: 902933950 564619565 797408710 102799311 Case #20: 272161173 16155596 51471014 803569763 Case #21: 596751592 220949375 253099849 770976538 Case #22: 904817017 505375445 347783586 71885354 Case #23: 109006092 305462409 228672804 752775295 Case #24: 606217996 614800411 267046979 771400617 Case #25: 365104507 686324638 237230954 531855867 Case #26: 198880727 546175629 935268894 765963223 Case #27: 494150939 766534551 364923592 327740919 Case #28: 669202348 777597338 191642845 218727316 Case #29: 843817598 299806620 699483439 715105982 Case #30: 976093319 696837910 575842280 724543551 Case #31: 938953671 390927971 480163371 407947614 Case #32: 907033948 719049440 689852452 291574603 Case #33: 291475755 339401294 395330147 596287132 Case #34: 755879572 610849991 389165566 616490383 Case #35: 472886326 416559902 751061654 103449348 Case #36: 517813527 891427633 151016870 452452321 Case #37: 703225582 457504295 687601208 637921982 Case #38: 801249497 151531496 112665145 27245119 Case #39: 723698022 495775143 334034385 582303367 Case #40: 889563138 107950608 951531040 851911656 Case #41: 684420669 541432237 109441953 149900431 Case #42: 395184688 604745601 116473018 47616099 Case #43: 130290107 86603514 133449698 579432805 Case #44: 988550795 273598353 458909116 412900937 Case #45: 557029653 986130818 916353752 8948131 Case #46: 749941450 914280269 164769325 851037031 Case #47: 15367174 878853602 116623474 400925249 Case #48: 57024299 517818965 517900067 264206260 Case #49: 965142093 43393675 734349022 454594942 Case #50: 436345069 225899872 130564229 497981187 Case #51: 272066154 586491359 608988429 43257774 Case #52: 848813230 784455704 475403362 148159729 Case #53: 763583711 73009663 942891183 837216589 Case #54: 643146916 117455071 668661278 686124635 Case #55: 820935219 988994283 865126111 678301728 Case #56: 315265581 96857507 759935853 176012599 Case #57: 946437200 229318782 555882868 226417526 Case #58: 878826824 811571580 930903921 616968662 Case #59: 697783181 378251694 243035166 135157597 Case #60: 652610610 447822955 703975938 593790310 Case #61: 889114628 473419712 91975170 546562755 Case #62: 671868905 610763987 298264446 159027771 Case #63: 751120964 89775001 443098024 441406664 Case #64: 438372621 675040116 846118510 45090327 Case #65: 906400929 381796058 977266423 951079955 Case #66: 269171730 362547507 872994102 978552029 Case #67: 249414750 122883725 43392928 865189512 Case #68: 80060092 446982267 532453498 725449268 Case #69: 858694810 459602782 198369480 62688815 Case #70: 785629389 474925559 459790006 671944807 Case #71: 465493564 614586392 177081338 83229279 Case #72: 516183639 533199805 730163002 853180632 Case #73: 330794659 592221580 233834755 245404783 Case #74: 328020091 161124143 189591749 105748224 Case #75: 129626513 241358601 169612643 31205833 Case #76: 247811253 479704451 899110262 833801189 Case #77: 754528211 849866121 108809107 134212476 Case #78: 11115804 666521098 872212919 540189197 Case #79: 921421266 212379706 687021678 434081049 Case #80: 592951164 17271199 727084547 43835089 Case #81: 561928735 547934021 468767580 471848221 Case #82: 903182923 564613153 492072101 814914553 Case #83: 130983596 459924982 593022274 432761922 Case #84: 57843667 105901449 377351676 563239976 Case #85: 157108067 45874301 157857708 420030957 Case #86: 945524315 221942107 3544210 727066329 Case #87: 564630763 126878838 513354608 760999769 Case #88: 724571659 100749411 996045481 920229020 Case #89: 371775763 611056352 119625634 373841506 Case #90: 868728285 321256120 45109763 317004827 Case #91: 640317135 3517139 845516829 462579004 Case #92: 622372866 394680520 46415404 526225375 Case #93: 98601307 857895401 286858907 968666331 Case #94: 900462760 188660346 558134526 761685649 Case #95: 726542790 322584343 797052789 644451041 Case #96: 363965101 146302782 406767208 162338322 Case #97: 641436048 690303276 418953814 168331646 Case #98: 43812906 835720849 438347916 127629264 Case #99: 43808898 147456249 373519237 192204594 Case #100: 678335586 895804144 24362582 50408928 Case #101: 451772526 24453549 753071661 802316256 Case #102: 178027121 554476264 971852227 206583985 Case #103: 61540410 960409331 682022293 479416791 Case #104: 903436331 803956292 338501035 724415862 Case #105: 41709180 893107478 655781996 876642646 Case #106: 692339891 856700814 983474574 940870551 Case #107: 945333493 534426546 816208609 12453253 Case #108: 24939080 781597228 646821853 624988030 Case #109: 357359147 975033268 729122041 427705894 Case #110: 320973215 787746184 225546714 259988716 Case #111: 359297331 403352951 405342810 405400735 Case #112: 159373062 730254480 415564043 90260054 Case #113: 861447003 627100709 481671659 80546998 Case #114: 333555161 604431186 732497654 587474783 Case #115: 46841091 261956212 104473493 159272641 Case #116: 786676762 462001229 103864936 446153520 Case #117: 475658928 523287928 59077303 480501491 Case #118: 655899487 106372940 253001754 611636124 Case #119: 651399000 624580870 904888432 236230808 Case #120: 51334558 623937429 904914989 880713616 Case #121: 842600576 904432974 265767995 549218122 Case #122: 284469579 175429097 544507292 365569339 Case #123: 182812265 830497207 882730152 831419659 Case #124: 481679218 262900079 152847270 455051310 Case #125: 32815995 757143222 252342199 618035296 Case #126: 448787676 529119692 980973336 833326950 Case #127: 257299008 553163127 16086722 676036143 Case #128: 573533384 698081179 726161936 312450146 Case #129: 239313498 700309992 753890314 802076391 Case #130: 908863584 956322246 734956833 643635898 Case #131: 867889635 678097953 580771827 517735869 Case #132: 306407858 630233121 705007888 963698534 Case #133: 279947217 883739616 856829318 12525872 Case #134: 984333002 333813186 905282760 632713969 Case #135: 944444296 24794915 808725856 679451493 Case #136: 443857504 765038442 725813075 287574277 Case #137: 645971937 429107414 876040929 16559962 Case #138: 865364391 432587851 560629148 961171963 Case #139: 286635401 886200844 703702727 917957458 Case #140: 554335237 38754981 781335264 287023465 Case #141: 818531911 624813178 691202383 576862160 Case #142: 309411341 827745534 353006169 46478156 Case #143: 505260234 602377746 434476090 409136648 Case #144: 56573966 603200243 212864279 42903306 Case #145: 776317 119489584 257514364 326081406 Case #146: 702878108 470715638 692922236 733223868 Case #147: 195781222 912901518 718978294 495536463 Case #148: 437975212 654501566 403934157 123981572 Case #149: 416365614 588913014 508644551 579073389 Case #150: 61661938 17954958 211890496 794137609 Case #151: 552079520 585559629 32117621 697908985 Case #152: 508389757 587182255 695379706 766660959 Case #153: 826299925 720699912 515098167 45527032 Case #154: 868278988 774469879 455749684 717941135 Case #155: 574869463 376034777 411931360 619185158 Case #156: 454839013 798036427 18304729 552353102 Case #157: 925247090 126260390 293264587 745523055