文章目录
- 题目描述
- 思路
- 代码
题目描述
思路
- 错位排序，可搜索引擎。复杂度太高
递推式： f [ n ] = ( n − 1 ) ∗ ( f [ n − 1 ] + f [ n − 2 ] ) f[n]=(n-1)*(f[n-1]+f[n-2]) f[n]=(n−1)∗(f[n−1]+f[n−2])
- 正解：打表！YYDS
1e9的数据量级。打表基值的对应解，这里第二份代码选择【后六位全0】和【后六位全0+1】，这样每一层都可以从 t = n/1e6 * 1e6; 开始递推，时间复杂度就是只需要跑完当前层即可，O(1e6)。空间换时间~，所以需要1e9/1e6位打表，即1000个数，前三位从1到1000。
代码
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define pr make_pair
#define ms(x, y) memset(x, y, sizeof(x))
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pii;
const int MAX_N = 1e5 + 5;
const ll MOD = 1e9 + 7;
const ll X = 1e6;
const ll L[1005] = {1, 102701088, 981992119, 649506278, 627764250, 645138131, 564166077, 806340002, 832288921, 136850473, 824182295, 485486901, 362408075, 230615570, 207753791, 746724534, 218498984, 781396008, 329051776, 323681136, 933713113, 55283981, 981439786, 825501686, 138007547, 342331196, 289391657, 825412508, 187428012, 141252153, 474482547, 469345798, 143251826, 921539885, 480488466, 371921930, 231080468, 854891028, 745269989, 838798600, 930651136, 166822045, 373911211, 895972398, 171482268, 451712763, 958587080, 752005616, 988795902, 572897149, 251064654, 321585864, 511830767, 631659409, 144463808, 390942798, 102930668, 688993450, 106803430, 736094471, 637937211, 67539869, 144102058, 272682427, 403369349, 888623609, 858619719, 775950042, 15647887, 791153158, 229643390, 418285941, 386152375, 926363365, 39644216, 774661798, 40160713, 396825904, 995555017, 857467965, 307311871, 322363308, 558471991, 849546729, 702107511, 610253183, 836510216, 371849840, 951720735, 611938075, 448853213, 916443128, 719396272, 62461078, 829557374, 360973550, 28257290, 54217657, 360608813, 40750050, 322273426, 994158933, 169297167, 816619563, 578752871, 360557868, 348588664, 773488558, 383760456, 253636234, 398890147, 995241802, 479632402, 110532161, 700282646, 282610478, 140824426, 295951236, 857609436, 760044280, 194914852, 443829327, 876081218, 524150684, 964703318, 503814959, 3721180, 438887824, 780454157, 618807385, 884947442, 765009239, 49016763, 277882991, 686914924, 394281833, 9292295, 180115281, 827376728, 884535605, 154199209, 244167252, 56875341, 100252189, 949590677, 930382776, 186095009, 915325731, 487153268, 999188962, 881788023, 26750235, 843660084, 825675146, 480858823, 814808681, 562764753, 388965635, 868321452, 793774212, 389699639, 696033877, 824165623, 729212269, 903496758, 13694466, 125127133, 802590026, 78636716, 991813302, 733217502, 340792204, 163694105, 729692726, 66435775, 124648772, 579867155, 90056478, 540654765, 368988366, 601739182, 416701437, 445350912, 616246755, 591423736, 392220359, 536341336, 964430099, 531887312, 559587397, 372305477, 718309972, 926423310, 42000939, 639265371, 28855165, 677697221, 103286437, 484351515, 607563402, 213823357, 872307731, 372467702, 126282642, 345280228, 984769112, 717461814, 487124435, 757943584, 562591933, 713959988, 970592690, 854865267, 918201995, 777177924, 466044211, 718369887, 595693165, 48090102, 581617266, 498202615, 215303046, 391636760, 679592087, 66223098, 332910243, 554427583, 437417932, 759812013, 129290794, 196342945, 383628392, 474049070, 499347791, 729105951, 715068952, 708424167, 417690245, 981761551, 100358731, 324300550, 448815874, 976802967, 355804045, 868183507, 299712064, 548578229, 311019993, 739059075, 589778521, 154001751, 348119666, 539751867, 574158273, 788685196, 791279153, 624440017, 961214770, 231405777, 245724014, 974475946, 275533551, 845138374, 157087033, 736460202, 470540891, 871607895, 745317906, 387858087, 242782878, 540773759, 747935865, 859460625, 228821922, 723487306, 468917247, 724324069, 476378557, 770600635, 250470252, 467881322, 300357120, 676487052, 462154550, 311697536, 428812399, 450648083, 778076329, 786255939, 765849472, 257531902, 721767280, 176563389, 175749454, 732296574, 298120095, 155448833, 898525679, 85049317, 968406065, 598680559, 395844987, 900957536, 579095485, 429212998, 509837298, 853242300, 922588922, 68856856, 283770130, 367927849, 522655659, 690757326, 912348796, 30049334, 131745858, 137674199, 142648551, 600945940, 449239819, 971346692, 670051193, 737038504, 865244796, 723942192, 610008278, 752447580, 905516484, 656581760, 91825933, 94577421, 283622038, 849585022, 102547070, 323875198, 420318614, 779228990, 786063302, 988963335, 164868451, 617165552, 905989955, 6391586, 421243975, 739350754, 362563274, 347053973, 576876354, 394564599, 99117090, 128327758, 435476476, 728083087, 600210704, 507934245, 259790921, 404690060, 506558658, 328287279, 237225611, 503709458, 465806023, 631623755, 594216496, 370047171, 737911496, 151018717, 113095146, 128457419, 880656919, 253566817, 184922743, 223563582, 252228570, 266519182, 876803028, 194040840, 997525075, 847784903, 464959842, 820144401, 163870432, 885252811, 688921891, 193947871, 21626547, 958041818, 727618041, 842250, 378454511, 13965056, 409131285, 863668228, 688461155, 117468217, 29814411, 531114442, 25589724, 254857335, 305168698, 82358069, 445751007, 411378564, 381536877, 933633977, 702145011, 687788151, 558820531, 829116226, 956393708, 805941568, 178263460, 900513582, 928732556, 122675017, 699849090, 47406175, 823318492, 754665638, 211464760, 533047638, 354855600, 56228475, 889527707, 89342482, 925349438, 352847983, 184575152, 162590565, 402474435, 69430220, 53717597, 499227545, 727117226, 389321885, 505427812, 689377848, 739141890, 851692242, 36961625, 686678173, 898151821, 341673172, 603840769, 314510027, 988116160, 292613275, 643463284, 987869224, 86904847, 297170813, 210607265, 125056557, 522472396, 56762503, 268825217, 657107621, 541102843, 405700172, 597167891, 34546238, 219235406, 288417029, 32306949, 6461506, 75810449, 187271994, 958412125, 923423574, 174329621, 323435423, 134419822, 86333313, 623634963, 819270744, 708774997, 864549168, 184708668, 808590464, 146071060, 499126069, 957779045, 733872556, 966196700, 801414729, 725378301, 475620410, 387306873, 921714578, 242623264, 487532712, 808421122, 796370648, 958262856, 56469791, 969427220, 906919416, 154436480, 771008169, 213577806, 468899710, 432769540, 870216603, 51442776, 12237969, 675843097, 34760677, 396204835, 176554723, 414179745, 790590914, 225772745, 567888121, 233151084, 152099332, 751227942, 46458325, 674788795, 790702570, 489845612, 581347156, 369818845, 15615037, 545967596, 103309552, 389860753, 719815661, 91664918, 301486883, 791845156, 955359050, 779856088, 44321908, 489350942, 644787192, 55206524, 633954632, 598404606, 901413642, 149686777, 700529992, 579052159, 565835015, 118847032, 867926968, 97589652, 729449902, 6064412, 401641163, 221211052, 518280890, 609694504, 63376104, 428801015, 700687934, 839096293, 114480112, 98459976, 876598556, 693812577, 98592091, 74920668, 224533248, 721549085, 970958369, 117610907, 347169727, 961003451, 478317111, 306883443, 64544225, 131097347, 11349170, 278833977, 412976440, 72910913, 191951439, 443412274, 570830448, 149888564, 988209678, 265614314, 152910522, 327272434, 752186716, 718262387, 133171332, 618790917, 53007885, 650106860, 422603955, 660805266, 503088446, 947525042, 635064394, 781322580, 447596506, 461800272, 848471668, 994245679, 40661679, 298018995, 657681727, 690493596, 651688259, 263114315, 625223306, 676841440, 338387319, 196183571, 174468756, 736236357, 307800572, 232333370, 680437177, 135268337, 94262259, 770243628, 584612051, 457097995, 573631136, 676573626, 577189995, 357633724, 491460743, 183599737, 710075282, 650365986, 746259674, 604986809, 757555557, 422575560, 51985410, 521611328, 59618475, 551225407, 521615404, 187849667, 486159922, 34760970, 710709955, 68171314, 939418137, 95539701, 729618083, 669334209, 91219418, 557643173, 582111925, 687457420, 775098981, 898616827, 603014921, 576780933, 893649850, 278152475, 203936502, 158338523, 977791269, 446417809, 499158883, 632455012, 596308186, 941696136, 698436253, 417623410, 894434290, 88077857, 914667320, 174322412, 969149294, 488979053, 19360531, 551406263, 73316989, 119956407, 847556159, 152414193, 15968687, 103264601, 880429710, 963452539, 316525653, 363527941, 565064060, 950456028, 875759441, 715221164, 333793105, 401872114, 42564126, 757147276, 585211132, 442500985, 949069261, 480460278, 447188779, 95227949, 994464164, 991942192, 333697951, 954980943, 178264106, 915367944, 150152513, 159044774, 181427295, 574673435, 164721975, 713579760, 522067888, 820113517, 404395270, 459838540, 175975086, 139109834, 531733674, 414553797, 17880902, 333986091, 579797877, 473169256, 788793995, 820866545, 948934214, 702467776, 314706865, 200780118, 211722873, 818674597, 528967798, 962265651, 515626105, 517981574, 768844703, 208784939, 664133726, 950847823, 177984668, 618427638, 717694718, 803357822, 751009820, 376612251, 691294576, 756271819, 211958024, 543942422, 197601451, 947893174, 309384913, 234460299, 452161730, 934679817, 650662942, 815852027, 812802047, 356180431, 780228545, 435897276, 31308092, 440411884, 218696216, 960164158, 154837346, 38316616, 962683091, 10606516, 552913767, 606494944, 316850320, 364888293, 94513584, 294155313, 501476310, 567610607, 822846632, 345872164, 516729942, 86574506, 220854491, 306148897, 929299169, 423969930, 125383915, 782132070, 667142092, 184842982, 481533802, 770543419, 878646494, 831895011, 575605965, 258561151, 39657326, 430961569, 849881078, 746427504, 480064563, 889303958, 963974981, 898310091, 746327924, 259305179, 267660342, 677796098, 560277115, 821037552, 72328802, 987119561, 377654637, 943684790, 632757568, 205829180, 3053655, 972289649, 395572519, 686813938, 609494839, 670784224, 705101053, 125163116, 202791269, 973029224, 28732033, 671770693, 630644805, 159448906, 192678133, 109528400, 542246848, 655276546, 350104791, 339661876, 811164546, 523433471, 913806489, 681290582, 320368010, 184855330, 466289530, 539681423, 790812019, 439374936, 461375205, 209088494, 867942331, 476008696, 18780215, 520734953, 750036412, 738072355, 952000246, 218649908, 160577387, 619720649, 562085462, 705486526, 22383103, 435748056, 819636314, 443829864, 351469219, 609164310, 111175592, 458416215, 63207979, 361128966, 817329481, 102726115, 688721174, 890414414, 99411932, 154717014, 44860063, 594743835, 900253101, 909158470, 817994577, 933285383, 464087273, 753073278, 999122550, 47465597, 951314008, 645783065, 316910697, 132946886, 383979285, 877774703, 517164631, 915986682, 331585939, 797408571, 624813671, 280636995, 170701415, 241387050, 696417434, 877840727, 256789690, 280434105, 927498321, 737288545, 520988669, 56826112, 685369539, 131583290, 719116784, 880238527, 482685016, 605351713, 993736121, 206881884, 811177899, 141317021, 3335944, 585698084, 682073860, 531426532, 276682441, 663644092, 689352730, 727852213, 746814819, 184143102, 428872926, 481695945, 218798350, 773608829, 473333947, 116103680, 655473387, 968076915, 86359458, 334781593, 717843074, 37035206, 134224352, 615288312, 340221393, 901599799, 264410783, 458906778, 806163165, 144415001, 56614453, 868868442, 454860259, 357904502, 762927538, 930045611, 768284771, 349135872, 375939507, 726718378, 896128453, 285627228, 668118735, 198917702, 624766601, 425203890, 855319974, 767663944, 540515728, 317375305, 348158328, 809965487, 392140412, 661597068, 984537252, 670848732, 400577109, 640781611, 437555867, 116644591, 178175499, 738119236, 6174353, 123815837, 977632075, 118428592, 215737742, 626057315, 535141995, 511506338, 204569608, 676562680, 681205105, 252631325, 34192646, 396906487, 914120126, 14839562, 611781105, 176769488, 320106189, 532057908, 152225254, 960210904, 402182971};
int main() {
ll n;
cin >> n;
ll ans = L[n / X];
for (ll i = n / X * X + 1; i <= n; i++) {
// printf("i = %lld, ans = %lld\n", i, ans);
ans = ans * i % MOD;
if (i % 2 == 0) ans = (ans + 1) % MOD;
else ans = (ans + MOD - 1) % MOD;
}
cout << ans << endl;
return 0;
}
- 第二种有点长，这边建议拉滑动条
#include<iostream>
#include<cstring>
#include<vector>
#include<map>
using namespace std;
using LL = long long;
int main(){
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
map<int, int> mp;
mp[0] = 1;
mp[1] = 0;
mp[1000000] = 102701088;
mp[1000001] = 189982180;
mp[2000000] = 981992119;
mp[2000001] = 206244223;
mp[3000000] = 649506278;
mp[3000001] = 469866644;
mp[4000000] = 627764250;
mp[4000001] = 610186850;
mp[5000000] = 645138131;
mp[5000001] = 277558293;
mp[6000000] = 564166077;
mp[6000001] = 2471097;
mp[7000000] = 806340002;
mp[7000001] = 780829341;
mp[8000000] = 832288921;
mp[8000001] = 153680736;
mp[9000000] = 136850473;
mp[9000001] = 385228894;
mp[10000000] = 824182295;
mp[10000001] = 716489533;
mp[11000000] = 485486901;
mp[11000001] = 359104408;
mp[12000000] = 362408075;
mp[12000001] = 231965795;
mp[13000000] = 230615570;
mp[13000001] = 619629555;
mp[14000000] = 207753791;
mp[14000001] = 261393919;
mp[15000000] = 746724534;
mp[15000001] = 678318457;
mp[16000000] = 218498984;
mp[16000001] = 938027102;
mp[17000000] = 781396008;
mp[17000001] = 824409883;
mp[18000000] = 329051776;
mp[18000001] = 255591251;
mp[19000000] = 323681136;
mp[19000001] = 864631548;
mp[20000000] = 933713113;
mp[20000001] = 62993271;
mp[21000000] = 55283981;
mp[21000001] = 648157239;
mp[22000000] = 981439786;
mp[22000001] = 122298053;
mp[23000000] = 825501686;
mp[23000001] = 470595912;
mp[24000000] = 138007547;
mp[24000001] = 242822279;
mp[25000000] = 342331196;
mp[25000001] = 182423235;
mp[26000000] = 289391657;
mp[26000001] = 318722375;
mp[27000000] = 825412508;
mp[27000001] = 385409541;
mp[28000000] = 187428012;
mp[28000001] = 486692123;
mp[29000000] = 141252153;
mp[29000001] = 549577968;
mp[30000000] = 474482547;
mp[30000001] = 784841214;
mp[31000000] = 469345798;
mp[31000001] = 105497757;
mp[32000000] = 143251826;
mp[32000001] = 543163419;
mp[33000000] = 921539885;
mp[33000001] = 913664172;
mp[34000000] = 480488466;
mp[34000001] = 210132209;
mp[35000000] = 371921930;
mp[35000001] = 830801060;
mp[36000000] = 231080468;
mp[36000001] = 20848188;
mp[37000000] = 854891028;
mp[37000001] = 669474251;
mp[38000000] = 745269989;
mp[38000001] = 129028168;
mp[39000000] = 838798600;
mp[39000001] = 9806577;
mp[40000000] = 930651136;
mp[40000001] = 110068813;
mp[41000000] = 166822045;
mp[41000001] = 963944123;
mp[42000000] = 373911211;
mp[42000001] = 125981313;
mp[43000000] = 895972398;
mp[43000001] = 740284706;
mp[44000000] = 171482268;
mp[44000001] = 910665734;
mp[45000000] = 451712763;
mp[45000001] = 644423244;
mp[46000000] = 958587080;
mp[46000001] = 329922037;
mp[47000000] = 752005616;
mp[47000001] = 456595767;
mp[48000000] = 988795902;
mp[48000001] = 952560480;
mp[49000000] = 572897149;
mp[49000001] = 677393428;
mp[50000000] = 251064654;
mp[50000001] = 863192029;
mp[51000000] = 321585864;
mp[51000001] = 270779710;
mp[52000000] = 511830767;
mp[52000001] = 209524366;
mp[53000000] = 631659409;
mp[53000001] = 74313765;
mp[54000000] = 144463808;
mp[54000001] = 721856492;
mp[55000000] = 390942798;
mp[55000001] = 130429819;
mp[56000000] = 102930668;
mp[56000001] = 470581848;
mp[57000000] = 688993450;
mp[57000001] = 64085060;
mp[58000000] = 106803430;
mp[58000001] = 3441236;
mp[59000000] = 736094471;
mp[59000001] = 221087452;
mp[60000000] = 637937211;
mp[60000001] = 30003579;
mp[61000000] = 67539869;
mp[61000001] = 47700344;
mp[62000000] = 144102058;
mp[62000001] = 677561768;
mp[63000000] = 272682427;
mp[63000001] = 53429475;
mp[64000000] = 403369349;
mp[64000001] = 558659882;
mp[65000000] = 888623609;
mp[65000001] = 69299863;
mp[66000000] = 858619719;
mp[66000001] = 915937411;
mp[67000000] = 775950042;
mp[67000001] = 226029470;
mp[68000000] = 15647887;
mp[68000001] = 324199494;
mp[69000000] = 791153158;
mp[69000001] = 311026181;
mp[70000000] = 229643390;
mp[70000001] = 417118130;
mp[71000000] = 418285941;
mp[71000001] = 21397826;
mp[72000000] = 386152375;
mp[72000001] = 191531577;
mp[73000000] = 926363365;
mp[73000001] = 97991682;
mp[74000000] = 39644216;
mp[74000001] = 3108511;
mp[75000000] = 774661798;
mp[75000001] = 217964352;
mp[76000000] = 40160713;
mp[76000001] = 206795214;
mp[77000000] = 396825904;
mp[77000001] = 790936745;
mp[78000000] = 995555017;
mp[78000001] = 777981979;
mp[79000000] = 857467965;
mp[79000001] = 618288181;
mp[80000000] = 307311871;
mp[80000001] = 815217227;
mp[81000000] = 322363308;
mp[81000001] = 87583311;
mp[82000000] = 558471991;
mp[82000001] = 499909069;
mp[83000000] = 849546729;
mp[83000001] = 862960082;
mp[84000000] = 702107511;
mp[84000001] = 213268293;
mp[85000000] = 610253183;
mp[85000001] = 802152542;
mp[86000000] = 836510216;
mp[86000001] = 908931069;
mp[87000000] = 371849840;
mp[87000001] = 225393287;
mp[88000000] = 951720735;
mp[88000001] = 45460759;
mp[89000000] = 611938075;
mp[89000001] = 905700658;
mp[90000000] = 448853213;
mp[90000001] = 336075689;
mp[91000000] = 916443128;
mp[91000001] = 980668859;
mp[92000000] = 719396272;
mp[92000001] = 280105072;
mp[93000000] = 62461078;
mp[93000001] = 275798917;
mp[94000000] = 829557374;
mp[94000001] = 439708622;
mp[95000000] = 360973550;
mp[95000001] = 370926140;
mp[96000000] = 28257290;
mp[96000001] = 849268396;
mp[97000000] = 54217657;
mp[97000001] = 746403872;
mp[98000000] = 360608813;
mp[98000001] = 787231171;
mp[99000000] = 40750050;
mp[99000001] = 962510271;
mp[100000000] = 322273426;
mp[100000001] = 696682031;
mp[101000000] = 994158933;
mp[101000001] = 524288568;
mp[102000000] = 169297167;
mp[102000001] = 82418989;
mp[103000000] = 816619563;
mp[103000001] = 216836857;
mp[104000000] = 578752871;
mp[104000001] = 741420784;
mp[105000000] = 360557868;
mp[105000001] = 235547835;
mp[106000000] = 348588664;
mp[106000001] = 473935877;
mp[107000000] = 773488558;
mp[107000001] = 900145632;
mp[108000000] = 383760456;
mp[108000001] = 341637552;
mp[109000000] = 253636234;
mp[109000001] = 566111790;
mp[110000000] = 398890147;
mp[110000001] = 261744734;
mp[111000000] = 995241802;
mp[111000001] = 243938921;
mp[112000000] = 479632402;
mp[112000001] = 127600598;
mp[113000000] = 110532161;
mp[113000001] = 216101222;
mp[114000000] = 700282646;
mp[114000001] = 785457098;
mp[115000000] = 282610478;
mp[115000001] = 25109042;
mp[116000000] = 140824426;
mp[116000001] = 442474994;
mp[117000000] = 295951236;
mp[117000001] = 665567177;
mp[118000000] = 857609436;
mp[118000001] = 597224044;
mp[119000000] = 760044280;
mp[119000001] = 446927396;
mp[120000000] = 194914852;
mp[120000001] = 271186377;
mp[121000000] = 443829327;
mp[121000001] = 634905890;
mp[122000000] = 876081218;
mp[122000001] = 723907861;
mp[123000000] = 524150684;
mp[123000001] = 204856945;
mp[124000000] = 964703318;
mp[124000001] = 559340840;
mp[125000000] = 503814959;
mp[125000001] = 937976875;
mp[126000000] = 3721180;
mp[126000001] = 680439103;
mp[127000000] = 438887824;
mp[127000001] = 696716552;
mp[128000000] = 780454157;
mp[128000001] = 177167232;
mp[129000000] = 618807385;
mp[129000001] = 725024320;
mp[130000000] = 884947442;
mp[130000001] = 539645272;
mp[131000000] = 765009239;
mp[131000001] = 372495768;
mp[132000000] = 49016763;
mp[132000001] = 719725278;
mp[133000000] = 277882991;
mp[133000001] = 822173931;
mp[134000000] = 686914924;
mp[134000001] = 858588730;
mp[135000000] = 394281833;
mp[135000001] = 476685503;
mp[136000000] = 9292295;
mp[136000001] = 120446030;
mp[137000000] = 180115281;
mp[137000001] = 504384729;
mp[138000000] = 827376728;
mp[138000001] = 492130811;
mp[139000000] = 884535605;
mp[139000001] = 118882461;
mp[140000000] = 154199209;
mp[140000001] = 263083985;
mp[141000000] = 244167252;
mp[141000001] = 535174177;
mp[142000000] = 56875341;
mp[142000001] = 422341254;
mp[143000000] = 100252189;
mp[143000001] = 26899747;
mp[144000000] = 949590677;
mp[144000001] = 480403277;
mp[145000000] = 930382776;
mp[145000001] = 506044261;
mp[146000000] = 186095009;
mp[146000001] = 309905911;
mp[147000000] = 915325731;
mp[147000001] = 430455556;
mp[148000000] = 487153268;
mp[148000001] = 646462486;
mp[149000000] = 999188962;
mp[149000001] = 295034876;
mp[150000000] = 881788023;
mp[150000001] = 405910601;
mp[151000000] = 26750235;
mp[151000001] = 483475239;
mp[152000000] = 843660084;
mp[152000001] = 714005759;
mp[153000000] = 825675146;
mp[153000001] = 279377066;
mp[154000000] = 480858823;
mp[154000001] = 704493016;
mp[155000000] = 814808681;
mp[155000001] = 485741265;
mp[156000000] = 562764753;
mp[156000001] = 416225645;
mp[157000000] = 388965635;
mp[157000001] = 656492406;
mp[158000000] = 868321452;
mp[158000001] = 323957928;
mp[159000000] = 793774212;
mp[159000001] = 618303518;
mp[160000000] = 389699639;
mp[160000001] = 193236044;
mp[161000000] = 696033877;
mp[161000001] = 108603698;
mp[162000000] = 824165623;
mp[162000001] = 815561812;
mp[163000000] = 729212269;
mp[163000001] = 744181075;
mp[164000000] = 903496758;
mp[164000001] = 178282481;
mp[165000000] = 13694466;
mp[165000001] = 887877363;
mp[166000000] = 125127133;
mp[166000001] = 57729404;
mp[167000000] = 802590026;
mp[167000001] = 206362287;
mp[168000000] = 78636716;
mp[168000001] = 274159939;
mp[169000000] = 991813302;
mp[169000001] = 856498172;
mp[170000000] = 733217502;
mp[170000001] = 200688676;
mp[171000000] = 340792204;
mp[171000001] = 816863941;
mp[172000000] = 163694105;
mp[172000001] = 26606402;
mp[173000000] = 729692726;
mp[173000001] = 444034838;
mp[174000000] = 66435775;
mp[174000001] = 835517006;
mp[175000000] = 124648772;
mp[175000001] = 71954026;
mp[176000000] = 579867155;
mp[176000001] = 145470821;
mp[177000000] = 90056478;
mp[177000001] = 584476505;
mp[178000000] = 540654765;
mp[178000001] = 36998928;
mp[179000000] = 368988366;
mp[179000001] = 420645946;
mp[180000000] = 601739182;
mp[180000001] = 603547817;
mp[181000000] = 416701437;
mp[181000001] = 985740723;
mp[182000000] = 445350912;
mp[182000001] = 861973856;
mp[183000000] = 616246755;
mp[183000001] = 991834669;
mp[184000000] = 591423736;
mp[184000001] = 253669966;
mp[185000000] = 392220359;
mp[185000001] = 299294996;
mp[186000000] = 536341336;
mp[186000001] = 334024919;
mp[187000000] = 964430099;
mp[187000001] = 214991102;
mp[188000000] = 531887312;
mp[188000001] = 487923613;
mp[189000000] = 559587397;
mp[189000001] = 852253277;
mp[190000000] = 372305477;
mp[190000001] = 507139196;
mp[191000000] = 718309972;
mp[191000001] = 409929543;
mp[192000000] = 926423310;
mp[192000001] = 201310384;
mp[193000000] = 42000939;
mp[193000001] = 212257671;
mp[194000000] = 639265371;
mp[194000001] = 745143003;
mp[195000000] = 28855165;
mp[195000001] = 164467865;
mp[196000000] = 677697221;
mp[196000001] = 63896635;
mp[197000000] = 103286437;
mp[197000001] = 49854440;
mp[198000000] = 484351515;
mp[198000001] = 783040321;
mp[199000000] = 607563402;
mp[199000001] = 759227589;
mp[200000000] = 213823357;
mp[200000001] = 314470659;
mp[201000000] = 872307731;
mp[201000001] = 575970759;
mp[202000000] = 372467702;
mp[202000001] = 649798376;
mp[203000000] = 126282642;
mp[203000001] = 272835009;
mp[204000000] = 345280228;
mp[204000001] = 364220065;
mp[205000000] = 984769112;
mp[205000001] = 531625442;
mp[206000000] = 717461814;
mp[206000001] = 366881882;
mp[207000000] = 487124435;
mp[207000001] = 826281135;
mp[208000000] = 757943584;
mp[208000001] = 126377728;
mp[209000000] = 562591933;
mp[209000001] = 736519941;
mp[210000000] = 713959988;
mp[210000001] = 144438808;
mp[211000000] = 970592690;
mp[211000001] = 127027290;
mp[212000000] = 854865267;
mp[212000001] = 190245214;
mp[213000000] = 918201995;
mp[213000001] = 484162826;
mp[214000000] = 777177924;
mp[214000001] = 348965398;
mp[215000000] = 466044211;
mp[215000001] = 129647675;
mp[216000000] = 718369887;
mp[216000001] = 224194621;
mp[217000000] = 595693165;
mp[217000001] = 495835252;
mp[218000000] = 48090102;
mp[218000001] = 210704607;
mp[219000000] = 581617266;
mp[219000001] = 943998005;
mp[220000000] = 498202615;
mp[220000001] = 30970589;
mp[221000000] = 215303046;
mp[221000001] = 48229234;
mp[222000000] = 391636760;
mp[222000001] = 503033239;
mp[223000000] = 679592087;
mp[223000001] = 19748841;
mp[224000000] = 66223098;
mp[224000001] = 914385286;
mp[225000000] = 332910243;
mp[225000001] = 483576614;
mp[226000000] = 554427583;
mp[226000001] = 435323151;
mp[227000000] = 437417932;
mp[227000001] = 306360841;
mp[228000000] = 759812013;
mp[228000001] = 511152046;
mp[229000000] = 129290794;
mp[229000001] = 748037656;
mp[230000000] = 196342945;
mp[230000001] = 230230805;
mp[231000000] = 383628392;
mp[231000001] = 315301285;
mp[232000000] = 474049070;
mp[232000001] = 944193388;
mp[233000000] = 499347791;
mp[233000001] = 987911552;
mp[234000000] = 729105951;
mp[234000001] = 68830406;
mp[235000000] = 715068952;
mp[235000001] = 258780530;
mp[236000000] = 708424167;
mp[236000001] = 950107452;
mp[237000000] = 417690245;
mp[237000001] = 789742135;
mp[238000000] = 981761551;
mp[238000001] = 484146814;
mp[239000000] = 100358731;
mp[239000001] = 641458578;
mp[240000000] = 324300550;
mp[240000001] = 779475632;
mp[241000000] = 448815874;
mp[241000001] = 325663498;
mp[242000000] = 976802967;
mp[242000001] = 336098747;
mp[243000000] = 355804045;
mp[243000001] = 685581370;
mp[244000000] = 868183507;
mp[244000001] = 93326081;
mp[245000000] = 299712064;
mp[245000001] = 465705878;
mp[246000000] = 548578229;
mp[246000001] = 937926527;
mp[247000000] = 311019993;
mp[247000001] = 44266426;
mp[248000000] = 739059075;
mp[248000001] = 56052524;
mp[249000000] = 589778521;
mp[249000001] = 290794563;
mp[250000000] = 154001751;
mp[250000001] = 634498691;
mp[251000000] = 348119666;
mp[251000001] = 902473420;
mp[252000000] = 539751867;
mp[252000001] = 71629576;
mp[253000000] = 574158273;
mp[253000001] = 626323978;
mp[254000000] = 788685196;
mp[254000001] = 170402922;
mp[255000000] = 791279153;
mp[255000001] = 393845871;
mp[256000000] = 624440017;
mp[256000001] = 857443515;
mp[257000000] = 961214770;
mp[257000001] = 121989404;
mp[258000000] = 231405777;
mp[258000001] = 279486946;
mp[259000000] = 245724014;
mp[259000001] = 426226380;
mp[260000000] = 974475946;
mp[260000001] = 160929730;
mp[261000000] = 275533551;
mp[261000001] = 583133758;
mp[262000000] = 845138374;
mp[262000001] = 283154602;
mp[263000000] = 157087033;
mp[263000001] = 546889809;
mp[264000000] = 736460202;
mp[264000001] = 703481757;
mp[265000000] = 470540891;
mp[265000001] = 712687545;
mp[266000000] = 871607895;
mp[266000001] = 318674001;
mp[267000000] = 745317906;
mp[267000001] = 254318745;
mp[268000000] = 387858087;
mp[268000001] = 976236324;
mp[269000000] = 242782878;
mp[269000001] = 967622726;
mp[270000000] = 540773759;
mp[270000001] = 448711360;
mp[271000000] = 747935865;
mp[271000001] = 744101538;
mp[272000000] = 859460625;
mp[272000001] = 223047601;
mp[273000000] = 228821922;
mp[273000001] = 497543233;
mp[274000000] = 723487306;
mp[274000001] = 179838658;
mp[275000000] = 468917247;
mp[275000001] = 491251552;
mp[276000000] = 724324069;
mp[276000001] = 368929974;
mp[277000000] = 476378557;
mp[277000001] = 841680543;
mp[278000000] = 770600635;
mp[278000001] = 801011809;
mp[279000000] = 250470252;
mp[279000001] = 69301851;
mp[280000000] = 467881322;
mp[280000001] = 710833938;
mp[281000000] = 300357120;
mp[281000001] = 429554669;
mp[282000000] = 676487052;
mp[282000001] = 5101615;
mp[283000000] = 462154550;
mp[283000001] = 196626390;
mp[284000000] = 311697536;
mp[284000001] = 916042842;
mp[285000000] = 428812399;
mp[285000001] = 288331667;
mp[286000000] = 450648083;
mp[286000001] = 286450625;
mp[287000000] = 778076329;
mp[287000001] = 637920993;
mp[288000000] = 786255939;
mp[288000001] = 633163975;
mp[289000000] = 765849472;
mp[289000001] = 624535999;
mp[290000000] = 257531902;
mp[290000001] = 314742144;
mp[291000000] = 721767280;
mp[291000001] = 731527340;
mp[292000000] = 176563389;
mp[292000001] = 403667825;
mp[293000000] = 175749454;
mp[293000001] = 837287330;
mp[294000000] = 732296574;
mp[294000001] = 981230236;
mp[295000000] = 298120095;
mp[295000001] = 707502105;
mp[296000000] = 155448833;
mp[296000001] = 401358854;
mp[297000000] = 898525679;
mp[297000001] = 693490803;
mp[298000000] = 85049317;
mp[298000001] = 373636444;
mp[299000000] = 968406065;
mp[299000001] = 376532180;
mp[300000000] = 598680559;
mp[300000001] = 41451389;
mp[301000000] = 395844987;
mp[301000001] = 648799606;
mp[302000000] = 900957536;
mp[302000001] = 868333317;
mp[303000000] = 579095485;
mp[303000001] = 305833967;
mp[304000000] = 429212998;
mp[304000001] = 907847747;
mp[305000000] = 509837298;
mp[305000001] = 311334672;
mp[306000000] = 853242300;
mp[306000001] = 825597305;
mp[307000000] = 922588922;
mp[307000001] = 993945342;
mp[308000000] = 68856856;
mp[308000001] = 568401478;
mp[309000000] = 283770130;
mp[309000001] = 839975346;
mp[310000000] = 367927849;
mp[310000001] = 759524424;
mp[311000000] = 522655659;
mp[311000001] = 333834295;
mp[312000000] = 690757326;
mp[312000001] = 894143337;
mp[313000000] = 912348796;
mp[313000001] = 61392591;
mp[314000000] = 30049334;
mp[314000001] = 840000903;
mp[315000000] = 131745858;
mp[315000001] = 111246242;
mp[316000000] = 137674199;
mp[316000001] = 717138876;
mp[317000000] = 142648551;
mp[317000001] = 493111420;
mp[318000000] = 600945940;
mp[318000001] = 183240283;
mp[319000000] = 449239819;
mp[319000001] = 707087311;
mp[320000000] = 971346692;
mp[320000001] = 235530111;
mp[321000000] = 670051193;
mp[321000001] = 117446168;
mp[322000000] = 737038504;
mp[322000001] = 363753724;
mp[323000000] = 865244796;
mp[323000001] = 16926319;
mp[324000000] = 723942192;
mp[324000001] = 290041308;
mp[325000000] = 610008278;
mp[325000001] = 572239454;
mp[326000000] = 752447580;
mp[326000001] = 115362209;
mp[327000000] = 905516484;
mp[327000001] = 100789260;
mp[328000000] = 656581760;
mp[328000001] = 429070047;
mp[329000000] = 91825933;
mp[329000001] = 837350815;
mp[330000000] = 94577421;
mp[330000001] = 806103584;
mp[331000000] = 283622038;
mp[331000001] = 204469779;
mp[332000000] = 849585022;
mp[332000001] = 179149439;
mp[333000000] = 102547070;
mp[333000001] = 173509851;
mp[334000000] = 323875198;
mp[334000001] = 698654992;
mp[335000000] = 420318614;
mp[335000001] = 124671468;
mp[336000000] = 779228990;
mp[336000001] = 586482416;
mp[337000000] = 786063302;
mp[337000001] = 705739984;
mp[338000000] = 988963335;
mp[338000001] = 879076099;
mp[339000000] = 164868451;
mp[339000001] = 662635622;
mp[340000000] = 617165552;
mp[340000001] = 828311549;
mp[341000000] = 905989955;
mp[341000001] = 398391943;
mp[342000000] = 6391586;
mp[342000001] = 403090131;
mp[343000000] = 421243975;
mp[343000001] = 834837200;
mp[344000000] = 739350754;
mp[344000001] = 334994147;
mp[345000000] = 362563274;
mp[345000001] = 16972970;
mp[346000000] = 347053973;
mp[346000001] = 164489254;
mp[347000000] = 576876354;
mp[347000001] = 13643695;
mp[348000000] = 394564599;
mp[348000001] = 885405245;
mp[349000000] = 99117090;
mp[349000001] = 266974041;
mp[350000000] = 128327758;
mp[350000001] = 113924752;
mp[351000000] = 435476476;
mp[351000001] = 441510781;
mp[352000000] = 728083087;
mp[352000001] = 558086371;
mp[353000000] = 600210704;
mp[353000001] = 629090064;
mp[354000000] = 507934245;
mp[354000001] = 979273197;
mp[355000000] = 259790921;
mp[355000001] = 569210488;
mp[356000000] = 404690060;
mp[356000001] = 756202439;
mp[357000000] = 506558658;
mp[357000001] = 146668577;
mp[358000000] = 328287279;
mp[358000001] = 387599363;
mp[359000000] = 237225611;
mp[359000001] = 990077659;
mp[360000000] = 503709458;
mp[360000001] = 114361629;
mp[361000000] = 465806023;
mp[361000001] = 591714211;
mp[362000000] = 631623755;
mp[362000001] = 341089168;
mp[363000000] = 594216496;
mp[363000001] = 132312386;
mp[364000000] = 370047171;
mp[364000001] = 671166987;
mp[365000000] = 737911496;
mp[365000001] = 892547637;
mp[366000000] = 151018717;
mp[366000001] = 186108766;
mp[367000000] = 113095146;
mp[367000001] = 404553719;
mp[368000000] = 128457419;
mp[368000001] = 989551115;
mp[369000000] = 880656919;
mp[369000001] = 716920111;
mp[370000000] = 253566817;
mp[370000001] = 886828769;
mp[371000000] = 184922743;
mp[371000001] = 357678383;
mp[372000000] = 223563582;
mp[372000001] = 145404017;
mp[373000000] = 252228570;
mp[373000001] = 203659777;
mp[374000000] = 266519182;
mp[374000001] = 636771970;
mp[375000000] = 876803028;
mp[375000001] = 75195089;
mp[376000000] = 194040840;
mp[376000001] = 523325354;
mp[377000000] = 997525075;
mp[377000001] = 640056417;
mp[378000000] = 847784903;
mp[378000001] = 938546065;
mp[379000000] = 464959842;
mp[379000001] = 349421388;
mp[380000000] = 820144401;
mp[380000001] = 18560303;
mp[381000000] = 163870432;
mp[381000001] = 318827993;
mp[382000000] = 885252811;
mp[382000001] = 320086806;
mp[383000000] = 688921891;
mp[383000001] = 94922309;
mp[384000000] = 193947871;
mp[384000001] = 136615996;
mp[385000000] = 21626547;
mp[385000001] = 558343006;
mp[386000000] = 958041818;
mp[386000001] = 117412837;
mp[387000000] = 727618041;
mp[387000001] = 623500780;
mp[388000000] = 842250;
mp[388000001] = 998554705;
mp[389000000] = 378454511;
mp[389000001] = 126922882;
mp[390000000] = 13965056;
mp[390000001] = 815840458;
mp[391000000] = 409131285;
mp[391000001] = 724338967;
mp[392000000] = 863668228;
mp[392000001] = 869762626;
mp[393000000] = 688461155;
mp[393000001] = 709504530;
mp[394000000] = 117468217;
mp[394000001] = 291490877;
mp[395000000] = 29814411;
mp[395000001] = 292377566;
mp[396000000] = 531114442;
mp[396000001] = 90865215;
mp[397000000] = 25589724;
mp[397000001] = 382475883;
mp[398000000] = 254857335;
mp[398000001] = 874824808;
mp[399000000] = 305168698;
mp[399000001] = 954832534;
mp[400000000] = 82358069;
mp[400000001] = 451755479;
mp[401000000] = 445751007;
mp[401000001] = 1527935;
mp[402000000] = 411378564;
mp[402000001] = 981759296;
mp[403000000] = 381536877;
mp[403000001] = 736221356;
mp[404000000] = 933633977;
mp[404000001] = 1317101;
mp[405000000] = 702145011;
mp[405000001] = 166563914;
mp[406000000] = 687788151;
mp[406000001] = 39094234;
mp[407000000] = 558820531;
mp[407000001] = 83740845;
mp[408000000] = 829116226;
mp[408000001] = 669160299;
mp[409000000] = 956393708;
mp[409000001] = 790238539;
mp[410000000] = 805941568;
mp[410000001] = 372889280;
mp[411000000] = 178263460;
mp[411000001] = 725399492;
mp[412000000] = 900513582;
mp[412000001] = 87432423;
mp[413000000] = 928732556;
mp[413000001] = 871766754;
mp[414000000] = 122675017;
mp[414000001] = 805162824;
mp[415000000] = 699849090;
mp[415000001] = 16787492;
mp[416000000] = 47406175;
mp[416000001] = 709359398;
mp[417000000] = 823318492;
mp[417000001] = 584051828;
mp[418000000] = 754665638;
mp[418000001] = 230513992;
mp[419000000] = 211464760;
mp[419000001] = 31238621;
mp[420000000] = 533047638;
mp[420000001] = 925887595;
mp[421000000] = 354855600;
mp[421000001] = 909096157;
mp[422000000] = 56228475;
mp[422000001] = 340129562;
mp[423000000] = 889527707;
mp[423000001] = 316636180;
mp[424000000] = 89342482;
mp[424000001] = 192173997;
mp[425000000] = 925349438;
mp[425000001] = 322434874;
mp[426000000] = 352847983;
mp[426000001] = 58655302;
mp[427000000] = 184575152;
mp[427000001] = 536880028;
mp[428000000] = 162590565;
mp[428000001] = 495469237;
mp[429000000] = 402474435;
mp[429000001] = 808843717;
mp[430000000] = 69430220;
mp[430000001] = 460445261;
mp[431000000] = 53717597;
mp[431000001] = 198651608;
mp[432000000] = 499227545;
mp[432000001] = 429563458;
mp[433000000] = 727117226;
mp[433000001] = 381224926;
mp[434000000] = 389321885;
mp[434000001] = 296562005;
mp[435000000] = 505427812;
mp[435000001] = 186400132;
mp[436000000] = 689377848;
mp[436000001] = 313396667;
mp[437000000] = 739141890;
mp[437000001] = 408106861;
mp[438000000] = 851692242;
mp[438000001] = 236403841;
mp[439000000] = 36961625;
mp[439000001] = 298378553;
mp[440000000] = 686678173;
mp[440000001] = 691709414;
mp[441000000] = 898151821;
mp[441000001] = 186557163;
mp[442000000] = 341673172;
mp[442000001] = 308536384;
mp[443000000] = 603840769;
mp[443000001] = 398330555;
mp[444000000] = 314510027;
mp[444000001] = 325012869;
mp[445000000] = 988116160;
mp[445000001] = 110134336;
mp[446000000] = 292613275;
mp[446000001] = 29074634;
mp[447000000] = 643463284;
mp[447000001] = 578066681;
mp[448000000] = 987869224;
mp[448000001] = 241911353;
mp[449000000] = 86904847;
mp[449000001] = 116762914;
mp[450000000] = 297170813;
mp[450000001] = 211082757;
mp[451000000] = 210607265;
mp[451000001] = 60720132;
mp[452000000] = 125056557;
mp[452000001] = 493377615;
mp[453000000] = 522472396;
mp[453000001] = 253712437;
mp[454000000] = 56762503;
mp[454000001] = 238371270;
mp[455000000] = 268825217;
mp[455000001] = 147616905;
mp[456000000] = 657107621;
mp[456000001] = 735620109;
mp[457000000] = 541102843;
mp[457000001] = 61114856;
mp[458000000] = 405700172;
mp[458000001] = 881025432;
mp[459000000] = 597167891;
mp[459000001] = 647467470;
mp[460000000] = 34546238;
mp[460000001] = 403307354;
mp[461000000] = 219235406;
mp[461000001] = 677762758;
mp[462000000] = 288417029;
mp[462000001] = 753676366;
mp[463000000] = 32306949;
mp[463000001] = 314600129;
mp[464000000] = 6461506;
mp[464000001] = 769474539;
mp[465000000] = 75810449;
mp[465000001] = 614047442;
mp[466000000] = 187271994;
mp[466000001] = 780390757;
mp[467000000] = 958412125;
mp[467000001] = 200362904;
mp[468000000] = 923423574;
mp[468000001] = 530287963;
mp[469000000] = 174329621;
mp[469000001] = 851005483;
mp[470000000] = 323435423;
mp[470000001] = 69332886;
mp[471000000] = 134419822;
mp[471000001] = 853237676;
mp[472000000] = 86333313;
mp[472000001] = 537088051;
mp[473000000] = 623634963;
mp[473000001] = 57779610;
mp[474000000] = 819270744;
mp[474000001] = 756930433;
mp[475000000] = 708774997;
mp[475000001] = 927098149;
mp[476000000] = 864549168;
mp[476000001] = 951871360;
mp[477000000] = 184708668;
mp[477000001] = 203966429;
mp[478000000] = 808590464;
mp[478000001] = 895046790;
mp[479000000] = 146071060;
mp[479000001] = 396294800;
mp[480000000] = 499126069;
mp[480000001] = 942062491;
mp[481000000] = 957779045;
mp[481000001] = 377937018;
mp[482000000] = 733872556;
mp[482000001] = 249786565;
mp[483000000] = 966196700;
mp[483000001] = 799485678;
mp[484000000] = 801414729;
mp[484000001] = 922221646;
mp[485000000] = 725378301;
mp[485000001] = 247718982;
mp[486000000] = 475620410;
mp[486000001] = 117559783;
mp[487000000] = 387306873;
mp[487000001] = 217977750;
mp[488000000] = 921714578;
mp[488000001] = 837137600;
mp[489000000] = 242623264;
mp[489000001] = 508123838;
mp[490000000] = 487532712;
mp[490000001] = 695295522;
mp[491000000] = 808421122;
mp[491000001] = 931877745;
mp[492000000] = 796370648;
mp[492000001] = 869670155;
mp[493000000] = 958262856;
mp[493000001] = 659297760;
mp[494000000] = 56469791;
mp[494000001] = 615197258;
mp[495000000] = 969427220;
mp[495000001] = 510361922;
mp[496000000] = 906919416;
mp[496000001] = 94095219;
mp[497000000] = 154436480;
mp[497000001] = 177151969;
mp[498000000] = 771008169;
mp[498000001] = 245273706;
mp[499000000] = 213577806;
mp[499000001] = 661550537;
mp[500000000] = 468899710;
mp[500000001] = 827750738;
mp[501000000] = 432769540;
mp[501000001] = 455046773;
mp[502000000] = 870216603;
mp[502000001] = 518275478;
mp[503000000] = 51442776;
mp[503000001] = 198312763;
mp[504000000] = 12237969;
mp[504000001] = 345062416;
mp[505000000] = 675843097;
mp[505000001] = 271737762;
mp[506000000] = 34760677;
mp[506000001] = 473638362;
mp[507000000] = 396204835;
mp[507000001] = 335073884;
mp[508000000] = 176554723;
mp[508000001] = 832726136;
mp[509000000] = 414179745;
mp[509000001] = 143457321;
mp[510000000] = 790590914;
mp[510000001] = 108181365;
mp[511000000] = 225772745;
mp[511000001] = 113183640;
mp[512000000] = 567888121;
mp[512000001] = 484577108;
mp[513000000] = 233151084;
mp[513000001] = 487905548;
mp[514000000] = 152099332;
mp[514000001] = 252845939;
mp[515000000] = 751227942;
mp[515000001] = 173051225;
mp[516000000] = 46458325;
mp[516000001] = 578650859;
mp[517000000] = 674788795;
mp[517000001] = 247728159;
mp[518000000] = 790702570;
mp[518000001] = 183615066;
mp[519000000] = 489845612;
mp[519000001] = 338236514;
mp[520000000] = 581347156;
mp[520000001] = 585243522;
mp[521000000] = 369818845;
mp[521000001] = 266089525;
mp[522000000] = 15615037;
mp[522000001] = 272557693;
mp[523000000] = 545967596;
mp[523000001] = 255180238;
mp[524000000] = 103309552;
mp[524000001] = 972370123;
mp[525000000] = 389860753;
mp[525000001] = 282122494;
mp[526000000] = 719815661;
mp[526000001] = 755454415;
mp[527000000] = 91664918;
mp[527000001] = 539513040;
mp[528000000] = 301486883;
mp[528000001] = 411191371;
mp[529000000] = 791845156;
mp[529000001] = 383642560;
mp[530000000] = 955359050;
mp[530000001] = 910976998;
mp[531000000] = 779856088;
mp[531000001] = 609131027;
mp[532000000] = 44321908;
mp[532000001] = 935267129;
mp[533000000] = 489350942;
mp[533000001] = 749582591;
mp[534000000] = 644787192;
mp[534000001] = 762572685;
mp[535000000] = 55206524;
mp[535000001] = 188458093;
mp[536000000] = 633954632;
mp[536000001] = 7356864;
mp[537000000] = 598404606;
mp[537000001] = 771001708;
mp[538000000] = 901413642;
mp[538000001] = 902689889;
mp[539000000] = 149686777;
mp[539000001] = 387918572;
mp[540000000] = 700529992;
mp[540000001] = 732526640;
mp[541000000] = 579052159;
mp[541000001] = 405181646;
mp[542000000] = 565835015;
mp[542000001] = 549056982;
mp[543000000] = 118847032;
mp[543000001] = 43109465;
mp[544000000] = 867926968;
mp[544000001] = 154861091;
mp[545000000] = 97589652;
mp[545000001] = 65285131;
mp[546000000] = 729449902;
mp[546000001] = 433492393;
mp[547000000] = 6064412;
mp[547000001] = 346843780;
mp[548000000] = 401641163;
mp[548000001] = 184945670;
mp[549000000] = 221211052;
mp[549000001] = 919096989;
mp[550000000] = 518280890;
mp[550000001] = 22899473;
mp[551000000] = 609694504;
mp[551000001] = 962102820;
mp[552000000] = 63376104;
mp[552000001] = 226490840;
mp[553000000] = 428801015;
mp[553000001] = 63912294;
mp[554000000] = 700687934;
mp[554000001] = 419420142;
mp[555000000] = 839096293;
mp[555000001] = 194207212;
mp[556000000] = 114480112;
mp[556000001] = 940923524;
mp[557000000] = 98459976;
mp[557000001] = 346564533;
mp[558000000] = 876598556;
mp[558000001] = 700604618;
mp[559000000] = 693812577;
mp[559000001] = 521923980;
mp[560000000] = 98592091;
mp[560000001] = 672111100;
mp[561000000] = 74920668;
mp[561000001] = 528707209;
mp[562000000] = 224533248;
mp[562000001] = 717219459;
mp[563000000] = 721549085;
mp[563000001] = 732924160;
mp[564000000] = 970958369;
mp[564000001] = 253614749;
mp[565000000] = 117610907;
mp[565000001] = 107459772;
mp[566000000] = 347169727;
mp[566000001] = 453683278;
mp[567000000] = 961003451;
mp[567000001] = 863780779;
mp[568000000] = 478317111;
mp[568000001] = 624528291;
mp[569000000] = 306883443;
mp[569000001] = 151566696;
mp[570000000] = 64544225;
mp[570000001] = 57012768;
mp[571000000] = 131097347;
mp[571000001] = 744101258;
mp[572000000] = 11349170;
mp[572000001] = 205907094;
mp[573000000] = 278833977;
mp[573000001] = 981430907;
mp[574000000] = 412976440;
mp[574000001] = 313637114;
mp[575000000] = 72910913;
mp[575000001] = 754444494;
mp[576000000] = 191951439;
mp[576000001] = 282003242;
mp[577000000] = 443412274;
mp[577000001] = 750470113;
mp[578000000] = 570830448;
mp[578000001] = 205250468;
mp[579000000] = 149888564;
mp[579000001] = 98390217;
mp[580000000] = 988209678;
mp[580000001] = 216078407;
mp[581000000] = 265614314;
mp[581000001] = 619360908;
mp[582000000] = 152910522;
mp[582000001] = 333953060;
mp[583000000] = 327272434;
mp[583000001] = 13673637;
mp[584000000] = 752186716;
mp[584000001] = 821247442;
mp[585000000] = 718262387;
mp[585000001] = 171977928;
mp[586000000] = 133171332;
mp[586000001] = 138902531;
mp[587000000] = 618790917;
mp[587000001] = 355179054;
mp[588000000] = 53007885;
mp[588000001] = 214827432;
mp[589000000] = 650106860;
mp[589000001] = 509716293;
mp[590000000] = 422603955;
mp[590000001] = 127249630;
mp[591000000] = 660805266;
mp[591000001] = 133053895;
mp[592000000] = 503088446;
mp[592000001] = 450289939;
mp[593000000] = 947525042;
mp[593000001] = 920348619;
mp[594000000] = 635064394;
mp[594000001] = 30466657;
mp[595000000] = 781322580;
mp[595000001] = 627114055;
mp[596000000] = 447596506;
mp[596000001] = 156223893;
mp[597000000] = 461800272;
mp[597000001] = 915936951;
mp[598000000] = 848471668;
mp[598000001] = 760769289;
mp[599000000] = 994245679;
mp[599000001] = 546373572;
mp[600000000] = 40661679;
mp[600000001] = 269882629;
mp[601000000] = 298018995;
mp[601000001] = 39253089;
mp[602000000] = 657681727;
mp[602000001] = 540210947;
mp[603000000] = 690493596;
mp[603000001] = 163920143;
mp[604000000] = 651688259;
mp[604000001] = 332350316;
mp[605000000] = 263114315;
mp[605000001] = 723825201;
mp[606000000] = 625223306;
mp[606000001] = 409026058;
mp[607000000] = 676841440;
mp[607000001] = 880942182;
mp[608000000] = 338387319;
mp[608000001] = 850210902;
mp[609000000] = 196183571;
mp[609000001] = 98853012;
mp[610000000] = 174468756;
mp[610000001] = 589487175;
mp[611000000] = 736236357;
mp[611000001] = 714353479;
mp[612000000] = 307800572;
mp[612000001] = 53182928;
mp[613000000] = 232333370;
mp[613000001] = 45390884;
mp[614000000] = 680437177;
mp[614000001] = 433918208;
mp[615000000] = 135268337;
mp[615000001] = 807938154;
mp[616000000] = 94262259;
mp[616000001] = 231803401;
mp[617000000] = 770243628;
mp[617000001] = 919561422;
mp[618000000] = 584612051;
mp[618000001] = 573580335;
mp[619000000] = 457097995;
mp[619000001] = 381492395;
mp[620000000] = 573631136;
mp[620000001] = 404072021;
mp[621000000] = 676573626;
mp[621000001] = 481508092;
mp[622000000] = 577189995;
mp[622000001] = 954104776;
mp[623000000] = 357633724;
mp[623000001] = 849993067;
mp[624000000] = 491460743;
mp[624000001] = 976760235;
mp[625000000] = 183599737;
mp[625000001] = 5350891;
mp[626000000] = 710075282;
mp[626000001] = 130525413;
mp[627000000] = 650365986;
mp[627000001] = 17909688;
mp[628000000] = 746259674;
mp[628000001] = 737702169;
mp[629000000] = 604986809;
mp[629000001] = 802229908;
mp[630000000] = 757555557;
mp[630000001] = 326735570;
mp[631000000] = 422575560;
mp[631000001] = 916059327;
mp[632000000] = 51985410;
mp[632000001] = 942001963;
mp[633000000] = 521611328;
mp[633000001] = 834351551;
mp[634000000] = 59618475;
mp[634000001] = 945031690;
mp[635000000] = 551225407;
mp[635000001] = 546028489;
mp[636000000] = 521615404;
mp[636000001] = 143383638;
mp[637000000] = 187849667;
mp[637000001] = 229228007;
mp[638000000] = 486159922;
mp[638000001] = 550969725;
mp[639000000] = 34760970;
mp[639000001] = 709275156;
mp[640000000] = 710709955;
mp[640000001] = 726729378;
mp[641000000] = 68171314;
mp[641000001] = 36286629;
mp[642000000] = 939418137;
mp[642000001] = 671673056;
mp[643000000] = 95539701;
mp[643000001] = 408515511;
mp[644000000] = 729618083;
mp[644000001] = 892499788;
mp[645000000] = 669334209;
mp[645000001] = 452290274;
mp[646000000] = 91219418;
mp[646000001] = 706725216;
mp[647000000] = 557643173;
mp[647000001] = 963077262;
mp[648000000] = 582111925;
mp[648000001] = 341652249;
mp[649000000] = 687457420;
mp[649000001] = 144338378;
mp[650000000] = 775098981;
mp[650000001] = 898398642;
mp[651000000] = 898616827;
mp[651000001] = 180619969;
mp[652000000] = 603014921;
mp[652000001] = 342854838;
mp[653000000] = 576780933;
mp[653000001] = 189315303;
mp[654000000] = 893649850;
mp[654000001] = 702520863;
mp[655000000] = 278152475;
mp[655000001] = 127823384;
mp[656000000] = 203936502;
mp[656000001] = 579460093;
mp[657000000] = 158338523;
mp[657000001] = 41139659;
mp[658000000] = 977791269;
mp[658000001] = 476084711;
mp[659000000] = 446417809;
mp[659000001] = 518092470;
mp[660000000] = 499158883;
mp[660000001] = 973044862;
mp[661000000] = 632455012;
mp[661000001] = 638085691;
mp[662000000] = 596308186;
mp[662000001] = 965016073;
mp[663000000] = 941696136;
mp[663000001] = 739284397;
mp[664000000] = 698436253;
mp[664000001] = 444104569;
mp[665000000] = 417623410;
mp[665000001] = 123586447;
mp[666000000] = 894434290;
mp[666000001] = 864581658;
mp[667000000] = 88077857;
mp[667000001] = 295842346;
mp[668000000] = 914667320;
mp[668000001] = 397682957;
mp[669000000] = 174322412;
mp[669000001] = 985970567;
mp[670000000] = 969149294;
mp[670000001] = 403839132;
mp[671000000] = 488979053;
mp[671000001] = 755244458;
mp[672000000] = 19360531;
mp[672000001] = 760288598;
mp[673000000] = 551406263;
mp[673000001] = 952731378;
mp[674000000] = 73316989;
mp[674000001] = 313407438;
mp[675000000] = 119956407;
mp[675000001] = 278162388;
mp[676000000] = 847556159;
mp[676000001] = 320920438;
mp[677000000] = 152414193;
mp[677000001] = 91123336;
mp[678000000] = 15968687;
mp[678000001] = 726181303;
mp[679000000] = 103264601;
mp[679000001] = 691447959;
mp[680000000] = 880429710;
mp[680000001] = 489584316;
mp[681000000] = 963452539;
mp[681000001] = 429674313;
mp[682000000] = 316525653;
mp[682000001] = 151432194;
mp[683000000] = 363527941;
mp[683000001] = 328500866;
mp[684000000] = 565064060;
mp[684000001] = 899537361;
mp[685000000] = 950456028;
mp[685000001] = 573019402;
mp[686000000] = 875759441;
mp[686000001] = 196362629;
mp[687000000] = 715221164;
mp[687000001] = 943722611;
mp[688000000] = 333793105;
mp[688000001] = 966245526;
mp[689000000] = 401872114;
mp[689000001] = 9642918;
mp[690000000] = 42564126;
mp[690000001] = 776979403;
mp[691000000] = 757147276;
mp[691000001] = 810825927;
mp[692000000] = 585211132;
mp[692000001] = 94448424;
mp[693000000] = 442500985;
mp[693000001] = 900928724;
mp[694000000] = 949069261;
mp[694000001] = 472490819;
mp[695000000] = 480460278;
mp[695000001] = 353021040;
mp[696000000] = 447188779;
mp[696000001] = 452485062;
mp[697000000] = 95227949;
mp[697000001] = 83610788;
mp[698000000] = 994464164;
mp[698000001] = 607512289;
mp[699000000] = 991942192;
mp[699000001] = 346369075;
mp[700000000] = 333697951;
mp[700000001] = 398578002;
mp[701000000] = 954980943;
mp[701000001] = 311889483;
mp[702000000] = 178264106;
mp[702000001] = 714274298;
mp[703000000] = 915367944;
mp[703000001] = 42842316;
mp[704000000] = 150152513;
mp[704000001] = 562200936;
mp[705000000] = 159044774;
mp[705000001] = 44158818;
mp[706000000] = 181427295;
mp[706000001] = 554813611;
mp[707000000] = 574673435;
mp[707000001] = 275614622;
mp[708000000] = 164721975;
mp[708000001] = 648359875;
mp[709000000] = 713579760;
mp[709000001] = 12083430;
mp[710000000] = 522067888;
mp[710000001] = 407390501;
mp[711000000] = 820113517;
mp[711000001] = 325408567;
mp[712000000] = 404395270;
mp[712000001] = 628889259;
mp[713000000] = 459838540;
mp[713000001] = 184784400;
mp[714000000] = 175975086;
mp[714000001] = 700451615;
mp[715000000] = 139109834;
mp[715000001] = 752865123;
mp[716000000] = 531733674;
mp[716000001] = 450684517;
mp[717000000] = 414553797;
mp[717000001] = 782908306;
mp[718000000] = 17880902;
mp[718000001] = 564011492;
mp[719000000] = 333986091;
mp[719000001] = 82034104;
mp[720000000] = 579797877;
mp[720000001] = 97616593;
mp[721000000] = 473169256;
mp[721000001] = 661084038;
mp[722000000] = 788793995;
mp[722000001] = 192229167;
mp[723000000] = 820866545;
mp[723000001] = 701460988;
mp[724000000] = 948934214;
mp[724000001] = 75735644;
mp[725000000] = 702467776;
mp[725000001] = 737443837;
mp[726000000] = 314706865;
mp[726000001] = 705366590;
mp[727000000] = 200780118;
mp[727000001] = 965010109;
mp[728000000] = 211722873;
mp[728000001] = 676783122;
mp[729000000] = 818674597;
mp[729000001] = 853978157;
mp[730000000] = 528967798;
mp[730000001] = 365942367;
mp[731000000] = 962265651;
mp[731000001] = 919352348;
mp[732000000] = 515626105;
mp[732000001] = 733557962;
mp[733000000] = 517981574;
mp[733000001] = 602218136;
mp[734000000] = 768844703;
mp[734000001] = 820520646;
mp[735000000] = 208784939;
mp[735000001] = 299586435;
mp[736000000] = 664133726;
mp[736000001] = 578516792;
mp[737000000] = 950847823;
mp[737000001] = 596423935;
mp[738000000] = 177984668;
mp[738000001] = 242515879;
mp[739000000] = 618427638;
mp[739000001] = 901301490;
mp[740000000] = 717694718;
mp[740000001] = 320036101;
mp[741000000] = 803357822;
mp[741000001] = 738340827;
mp[742000000] = 751009820;
mp[742000001] = 290264838;
mp[743000000] = 376612251;
mp[743000001] = 910851950;
mp[744000000] = 691294576;
mp[744000001] = 635032448;
mp[745000000] = 756271819;
mp[745000001] = 967314311;
mp[746000000] = 211958024;
mp[746000001] = 9113228;
mp[747000000] = 543942422;
mp[747000001] = 933667519;
mp[748000000] = 197601451;
mp[748000001] = 510960262;
mp[749000000] = 947893174;
mp[749000001] = 304089292;
mp[750000000] = 309384913;
mp[750000001] = 435114131;
mp[751000000] = 234460299;
mp[751000001] = 550902517;
mp[752000000] = 452161730;
mp[752000001] = 31982396;
mp[753000000] = 934679817;
mp[753000001] = 208982530;
mp[754000000] = 650662942;
mp[754000001] = 484463956;
mp[755000000] = 815852027;
mp[755000001] = 889074094;
mp[756000000] = 812802047;
mp[756000001] = 43453638;
mp[757000000] = 356180431;
mp[757000001] = 735780342;
mp[758000000] = 780228545;
mp[758000001] = 750335913;
mp[759000000] = 435897276;
mp[759000001] = 603975065;
mp[760000000] = 31308092;
mp[760000001] = 784749048;
mp[761000000] = 440411884;
mp[761000001] = 818337796;
mp[762000000] = 218696216;
mp[762000001] = 644170610;
mp[763000000] = 960164158;
mp[763000001] = 385927421;
mp[764000000] = 154837346;
mp[764000001] = 670767228;
mp[765000000] = 38316616;
mp[765000001] = 73131138;
mp[766000000] = 962683091;
mp[766000001] = 506776389;
mp[767000000] = 10606516;
mp[767000001] = 725660136;
mp[768000000] = 552913767;
mp[768000001] = 636449376;
mp[769000000] = 606494944;
mp[769000001] = 277732680;
mp[770000000] = 316850320;
mp[770000001] = 9027104;
mp[771000000] = 364888293;
mp[771000001] = 298586188;
mp[772000000] = 94513584;
mp[772000001] = 431762181;
mp[773000000] = 294155313;
mp[773000001] = 651480927;
mp[774000000] = 501476310;
mp[774000001] = 724477682;
mp[775000000] = 567610607;
mp[775000001] = 913323087;
mp[776000000] = 822846632;
mp[776000001] = 785143757;
mp[777000000] = 345872164;
mp[777000001] = 892673480;
mp[778000000] = 516729942;
mp[778000001] = 578618697;
mp[779000000] = 86574506;
mp[779000001] = 788483732;
mp[780000000] = 220854491;
mp[780000001] = 994988983;
mp[781000000] = 306148897;
mp[781000001] = 189432887;
mp[782000000] = 929299169;
mp[782000001] = 315546;
mp[783000000] = 423969930;
mp[783000001] = 290190758;
mp[784000000] = 125383915;
mp[784000001] = 797276998;
mp[785000000] = 782132070;
mp[785000001] = 434316372;
mp[786000000] = 667142092;
mp[786000001] = 308526324;
mp[787000000] = 184842982;
mp[787000001] = 542999;
mp[788000000] = 481533802;
mp[788000001] = 801393370;
mp[789000000] = 770543419;
mp[789000001] = 105832140;
mp[790000000] = 878646494;
mp[790000001] = 279731411;
mp[791000000] = 831895011;
mp[791000001] = 926692367;
mp[792000000] = 575605965;
mp[792000001] = 664446517;
mp[793000000] = 258561151;
mp[793000001] = 566288213;
mp[794000000] = 39657326;
mp[794000001] = 663241913;
mp[795000000] = 430961569;
mp[795000001] = 387660453;
mp[796000000] = 849881078;
mp[796000001] = 202343739;
mp[797000000] = 746427504;
mp[797000001] = 270108484;
mp[798000000] = 480064563;
mp[798000001] = 72423929;
mp[799000000] = 889303958;
mp[799000001] = 357426951;
mp[800000000] = 963974981;
mp[800000001] = 365715120;
mp[801000000] = 898310091;
mp[801000001] = 752485444;
mp[802000000] = 746327924;
mp[802000001] = 604442986;
mp[803000000] = 259305179;
mp[803000001] = 538750779;
mp[804000000] = 267660342;
mp[804000001] = 729267950;
mp[805000000] = 677796098;
mp[805000001] = 748415112;
mp[806000000] = 560277115;
mp[806000001] = 89193650;
mp[807000000] = 821037552;
mp[807000001] = 646996451;
mp[808000000] = 72328802;
mp[808000001] = 679237104;
mp[809000000] = 987119561;
mp[809000001] = 246061520;
mp[810000000] = 377654637;
mp[810000001] = 206352858;
mp[811000000] = 943684790;
mp[811000001] = 276386269;
mp[812000000] = 632757568;
mp[812000001] = 252163573;
mp[813000000] = 205829180;
mp[813000001] = 374455325;
mp[814000000] = 3053655;
mp[814000001] = 155653929;
mp[815000000] = 972289649;
mp[815000001] = 360377235;
mp[816000000] = 395572519;
mp[816000001] = 640062307;
mp[817000000] = 686813938;
mp[817000001] = 104925049;
mp[818000000] = 609494839;
mp[818000001] = 421527413;
mp[819000000] = 670784224;
mp[819000001] = 281178291;
mp[820000000] = 705101053;
mp[820000001] = 117821032;
mp[821000000] = 125163116;
mp[821000001] = 641850696;
mp[822000000] = 202791269;
mp[822000001] = 153930314;
mp[823000000] = 973029224;
mp[823000001] = 719407901;
mp[824000000] = 28732033;
mp[824000001] = 55005667;
mp[825000000] = 671770693;
mp[825000001] = 517294966;
mp[826000000] = 630644805;
mp[826000001] = 914256569;
mp[827000000] = 159448906;
mp[827000001] = 498399197;
mp[828000000] = 192678133;
mp[828000001] = 199915681;
mp[829000000] = 109528400;
mp[829000001] = 73935098;
mp[830000000] = 542246848;
mp[830000001] = 231792680;
mp[831000000] = 655276546;
mp[831000001] = 569532903;
mp[832000000] = 350104791;
mp[832000001] = 423094502;
mp[833000000] = 339661876;
mp[833000001] = 67093488;
mp[834000000] = 811164546;
mp[834000001] = 439585956;
mp[835000000] = 523433471;
mp[835000001] = 748964855;
mp[836000000] = 913806489;
mp[836000001] = 370210948;
mp[837000000] = 681290582;
mp[837000001] = 823609090;
mp[838000000] = 320368010;
mp[838000001] = 821089279;
mp[839000000] = 184855330;
mp[839000001] = 969199989;
mp[840000000] = 466289530;
mp[840000001] = 924507115;
mp[841000000] = 539681423;
mp[841000001] = 105576904;
mp[842000000] = 790812019;
mp[842000001] = 127766006;
mp[843000000] = 439374936;
mp[843000001] = 894623459;
mp[844000000] = 461375205;
mp[844000001] = 755570514;
mp[845000000] = 209088494;
mp[845000001] = 402330061;
mp[846000000] = 867942331;
mp[846000001] = 753987881;
mp[847000000] = 476008696;
mp[847000001] = 165753154;
mp[848000000] = 18780215;
mp[848000001] = 227300860;
mp[849000000] = 520734953;
mp[849000001] = 523007148;
mp[850000000] = 750036412;
mp[850000001] = 487319789;
mp[851000000] = 738072355;
mp[851000001] = 446375364;
mp[852000000] = 952000246;
mp[852000001] = 866270817;
mp[853000000] = 218649908;
mp[853000001] = 437091317;
mp[854000000] = 160577387;
mp[854000001] = 698645777;
mp[855000000] = 619720649;
mp[855000001] = 805692591;
mp[856000000] = 562085462;
mp[856000001] = 666069397;
mp[857000000] = 705486526;
mp[857000001] = 255272882;
mp[858000000] = 22383103;
mp[858000001] = 261950188;
mp[859000000] = 435748056;
mp[859000001] = 919595016;
mp[860000000] = 819636314;
mp[860000001] = 925425738;
mp[861000000] = 443829864;
mp[861000001] = 672867293;
mp[862000000] = 351469219;
mp[862000001] = 8703963;
mp[863000000] = 609164310;
mp[863000001] = 459202737;
mp[864000000] = 111175592;
mp[864000001] = 926785621;
mp[865000000] = 458416215;
mp[865000001] = 657706053;
mp[866000000] = 63207979;
mp[866000001] = 494041215;
mp[867000000] = 361128966;
mp[867000001] = 691437288;
mp[868000000] = 817329481;
mp[868000001] = 359235585;
mp[869000000] = 102726115;
mp[869000001] = 412843163;
mp[870000000] = 688721174;
mp[870000001] = 874409254;
mp[871000000] = 890414414;
mp[871000001] = 55557763;
mp[872000000] = 99411932;
mp[872000001] = 196601503;
mp[873000000] = 154717014;
mp[873000001] = 431241349;
mp[874000000] = 44860063;
mp[874000001] = 832406204;
mp[875000000] = 594743835;
mp[875000001] = 576937870;
mp[876000000] = 900253101;
mp[876000001] = 855901123;
mp[877000000] = 909158470;
mp[877000001] = 517834658;
mp[878000000] = 817994577;
mp[878000001] = 396599938;
mp[879000000] = 933285383;
mp[879000001] = 847780460;
mp[880000000] = 464087273;
mp[880000001] = 845309693;
mp[881000000] = 753073278;
mp[881000001] = 26870399;
mp[882000000] = 999122550;
mp[882000001] = 930539968;
mp[883000000] = 47465597;
mp[883000001] = 905080749;
mp[884000000] = 951314008;
mp[884000001] = 136582961;
mp[885000000] = 645783065;
mp[885000001] = 170157001;
mp[886000000] = 316910697;
mp[886000001] = 893430571;
mp[887000000] = 132946886;
mp[887000001] = 189479676;
mp[888000000] = 383979285;
mp[888000001] = 77164063;
mp[889000000] = 877774703;
mp[889000001] = 382382760;
mp[890000000] = 517164631;
mp[890000001] = 885229004;
mp[891000000] = 915986682;
mp[891000001] = 864977785;
mp[892000000] = 331585939;
mp[892000001] = 849163353;
mp[893000000] = 797408571;
mp[893000001] = 715807627;
mp[894000000] = 624813671;
mp[894000001] = 588729744;
mp[895000000] = 280636995;
mp[895000001] = 47446231;
mp[896000000] = 170701415;
mp[896000001] = 940062152;
mp[897000000] = 241387050;
mp[897000001] = 575717775;
mp[898000000] = 696417434;
mp[898000001] = 50737469;
mp[899000000] = 877840727;
mp[899000001] = 926589070;
mp[900000000] = 256789690;
mp[900000001] = 639014656;
mp[901000000] = 280434105;
mp[901000001] = 116736215;
mp[902000000] = 927498321;
mp[902000001] = 613273960;
mp[903000000] = 737288545;
mp[903000001] = 211887680;
mp[904000000] = 520988669;
mp[904000001] = 172390;
mp[905000000] = 56826112;
mp[905000001] = 56832694;
mp[906000000] = 685369539;
mp[906000001] = 672755952;
mp[907000000] = 131583290;
mp[907000001] = 326160988;
mp[908000000] = 719116784;
mp[908000001] = 20410531;
mp[909000000] = 880238527;
mp[909000001] = 322280814;
mp[910000000] = 482685016;
mp[910000001] = 967981488;
mp[911000000] = 605351713;
mp[911000001] = 288023863;
mp[912000000] = 993736121;
mp[912000001] = 1724761;
mp[913000000] = 206881884;
mp[913000001] = 976699777;
mp[914000000] = 811177899;
mp[914000001] = 307261733;
mp[915000000] = 141317021;
mp[915000001] = 451181509;
mp[916000000] = 3335944;
mp[916000001] = 685945875;
mp[917000000] = 585698084;
mp[917000001] = 854102110;
mp[918000000] = 682073860;
mp[918000001] = 779067266;
mp[919000000] = 531426532;
mp[919000001] = 20759671;
mp[920000000] = 276682441;
mp[920000001] = 214847532;
mp[921000000] = 663644092;
mp[921000001] = 117130656;
mp[922000000] = 689352730;
mp[922000001] = 300270238;
mp[923000000] = 727852213;
mp[923000001] = 624199096;
mp[924000000] = 746814819;
mp[924000001] = 672416602;
mp[925000000] = 184143102;
mp[925000001] = 341816525;
mp[926000000] = 428872926;
mp[926000001] = 124918636;
mp[927000000] = 481695945;
mp[927000001] = 370970978;
mp[928000000] = 218798350;
mp[928000001] = 597484280;
mp[929000000] = 773608829;
mp[929000001] = 883830649;
mp[930000000] = 473333947;
mp[930000001] = 101929970;
mp[931000000] = 116103680;
mp[931000001] = 439456004;
mp[932000000] = 655473387;
mp[932000001] = 63165035;
mp[933000000] = 968076915;
mp[933000001] = 340566622;
mp[934000000] = 86359458;
mp[934000001] = 293741326;
mp[935000000] = 334781593;
mp[935000001] = 598636083;
mp[936000000] = 717843074;
mp[936000001] = 278535282;
mp[937000000] = 37035206;
mp[937000001] = 816121296;
mp[938000000] = 134224352;
mp[938000001] = 428907264;
mp[939000000] = 615288312;
mp[939000001] = 538998264;
mp[940000000] = 340221393;
mp[940000001] = 521564643;
mp[941000000] = 901599799;
mp[941000001] = 821761963;
mp[942000000] = 264410783;
mp[942000001] = 106886090;
mp[943000000] = 458906778;
mp[943000001] = 83663154;
mp[944000000] = 806163165;
mp[944000001] = 239037003;
mp[945000000] = 144415001;
mp[945000001] = 134109775;
mp[946000000] = 56614453;
mp[946000001] = 219713548;
mp[947000000] = 868868442;
mp[947000001] = 683139578;
mp[948000000] = 454860259;
mp[948000001] = 968407604;
mp[949000000] = 357904502;
mp[949000001] = 378344911;
mp[950000000] = 762927538;
mp[950000001] = 789459445;
mp[951000000] = 930045611;
mp[951000001] = 799732020;
mp[952000000] = 768284771;
mp[952000001] = 640435091;
mp[953000000] = 349135872;
mp[953000001] = 36050483;
mp[954000000] = 375939507;
mp[954000001] = 543415497;
mp[955000000] = 726718378;
mp[955000001] = 858606055;
mp[956000000] = 896128453;
mp[956000001] = 967236887;
mp[957000000] = 285627228;
mp[957000001] = 568210442;
mp[958000000] = 668118735;
mp[958000001] = 317714526;
mp[959000000] = 198917702;
mp[959000001] = 81583176;
mp[960000000] = 624766601;
mp[960000001] = 386335069;
mp[961000000] = 425203890;
mp[961000001] = 854857344;
mp[962000000] = 855319974;
mp[962000001] = 83595303;
mp[963000000] = 767663944;
mp[963000001] = 664841332;
mp[964000000] = 540515728;
mp[964000001] = 685115621;
mp[965000000] = 317375305;
mp[965000001] = 498505135;
mp[966000000] = 348158328;
mp[966000001] = 841911733;
mp[967000000] = 809965487;
mp[967000001] = 256309139;
mp[968000000] = 392140412;
mp[968000001] = 550996999;
mp[969000000] = 661597068;
mp[969000001] = 65984182;
mp[970000000] = 984537252;
mp[970000001] = 739529355;
mp[971000000] = 670848732;
mp[971000001] = 883089933;
mp[972000000] = 400577109;
mp[972000001] = 623050479;
mp[973000000] = 640781611;
mp[973000001] = 779418089;
mp[974000000] = 437555867;
mp[974000001] = 912299989;
mp[975000000] = 116644591;
mp[975000001] = 545545265;
mp[976000000] = 178175499;
mp[976000001] = 984880503;
mp[977000000] = 738119236;
mp[977000001] = 262121812;
mp[978000000] = 6174353;
mp[978000001] = 197904733;
mp[979000000] = 123815837;
mp[979000001] = 698305915;
mp[980000000] = 977632075;
mp[980000001] = 771076085;
mp[981000000] = 118428592;
mp[981000001] = 57179455;
mp[982000000] = 215737742;
mp[982000001] = 376756514;
mp[983000000] = 626057315;
mp[983000001] = 963156962;
mp[984000000] = 535141995;
mp[984000001] = 929083961;
mp[985000000] = 511506338;
mp[985000001] = 914670164;
mp[986000000] = 204569608;
mp[986000001] = 280630183;
mp[987000000] = 676562680;
mp[987000001] = 162191152;
mp[988000000] = 681205105;
mp[988000001] = 709990631;
mp[989000000] = 252631325;
mp[989000001] = 928664678;
mp[990000000] = 34192646;
mp[990000001] = 337237612;
mp[991000000] = 396906487;
mp[991000001] = 260566204;
mp[992000000] = 914120126;
mp[992000001] = 558470012;
mp[993000000] = 14839562;
mp[993000001] = 977689773;
mp[994000000] = 611781105;
mp[994000001] = 725008206;
mp[995000000] = 176769488;
mp[995000001] = 505570014;
mp[996000000] = 320106189;
mp[996000001] = 332325854;
mp[997000000] = 532057908;
mp[997000001] = 94825790;
mp[998000000] = 152225254;
mp[998000001] = 580779639;
mp[999000000] = 960210904;
mp[999000001] = 341456094;
mp[1000000000] = 402182971;
mp[1000000001] = 586902194;
int n;
cin >> n;
if (mp.count(n)){
cout << mp[n] << '\n';
return 0;
}
const int mod = 1e9 + 7;
int t = n / 1000000 * 1000000;
int f1 = mp[t], f2 = mp[t + 1];
for(int i = t + 2; ; i++){
int t = 1LL * (i - 1) * (f1 + f2) % mod;
f1 = f2, f2 = t;
if (i == n){
cout << t << '\n';
return 0;
}
}
}
