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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#641529#5097. 小 P 爱学习lingying45 144ms33016kbC++141.1kb2024-10-14 20:57:252024-10-14 20:57:26

Judging History

你现在查看的是最新测评结果

  • [2024-10-14 20:57:26]
  • 评测
  • 测评结果:45
  • 用时:144ms
  • 内存:33016kb
  • [2024-10-14 20:57:25]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

const int N=1505,M=1.5e5+5;
const int mod=1e9+7;

int n,m,ans;
int a[M],f[N],g[50005][1505],fact[M],infact[M];

int qpow(int a,int n)
{
	int ret=1;
	while(n)
	{
		if(n&1)ret=1ll*ret*a%mod;
		a=1ll*a*a%mod;
		n>>=1;
	}
	return ret;
}

void prepare()
{
	fact[0]=1;
	for(int i=1;i<M;i++)fact[i]=1ll*fact[i-1]*i%mod;
	infact[M-1]=qpow(fact[M-1],mod-2);
	for(int i=M-2;i>=0;i--)infact[i]=1ll*infact[i+1]*(i+1)%mod;
}

int C(int n,int m){return 1ll*fact[n]*infact[m]%mod*infact[n-m]%mod;}

int main()
{
	prepare();
	scanf("%d%d",&n,&m);
	for(int i=1;i<=n*m;i++)scanf("%d",&a[i]);
	f[0]=1;
	for(int i=1;i<=n*m;i++)
		for(int j=min(i,n);j>=1;j--)
			f[j]=(f[j]+1ll*a[i]*f[j-1])%mod;
	if(m==1)
	{
		for(int i=1;i<=n;i++)ans=(ans+1ll*qpow(i,n-i)*f[i])%mod;
		cout<<ans;
		return 0;
	}
	g[0][0]=1;
	for(int i=1;i<=n*m;i++)
		for(int j=1;j<=n;j++)
			for(int k=m-1;k<=i;k+=m)g[i][j]=(g[i][j]+1ll*g[i-k][j-1]*C(i,k))%mod;
	for(int i=1;i<=n;i++)ans=(ans+1ll*g[n*m-i][i]*f[i]%mod)%mod;
	cout<<ans;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 3ms
memory: 8288kb

input:

3 4
993987920 851664708 532496582 332334976 645105194 437392477 101400616 97233810 821968468 15736516 160047245 366079295

output:

856280467

result:

ok answer is 856280467

Test #2:

score: 10
Accepted
time: 2ms
memory: 5876kb

input:

2 2
410797770 6809338 472422778 989528224

output:

428410815

result:

ok answer is 428410815

Test #3:

score: 10
Accepted
time: 2ms
memory: 8168kb

input:

1 2
61861880 797258571

output:

859120451

result:

ok answer is 859120451

Test #4:

score: 10
Accepted
time: 2ms
memory: 5056kb

input:

4 4
345828253 333235310 877508155 268177944 892729462 591630803 103568022 189412379 473190308 606582845 39234531 676920516 526713342 584876596 477385922 911117054

output:

130539277

result:

ok answer is 130539277

Test #5:

score: 10
Accepted
time: 3ms
memory: 8012kb

input:

3 4
497837179 320032498 88408654 686869221 955729904 891421702 840622668 700545094 994455042 397227737 872911626 764923114

output:

444700147

result:

ok answer is 444700147

Subtask #2:

score: 20
Accepted

Test #6:

score: 20
Accepted
time: 4ms
memory: 6488kb

input:

1500 1
613884366 318223729 617843443 151365784 314748737 778479063 762692152 762329264 560579744 428619194 148701427 891734077 339222910 692588908 180829596 615884679 688697194 981930569 856072945 973079346 407508504 185723413 482150672 944412007 548582506 572572951 297202679 276708377 552007154 951...

output:

716155203

result:

ok answer is 716155203

Test #7:

score: 20
Accepted
time: 2ms
memory: 4960kb

input:

1500 1
203946163 790756155 31880785 670720617 578032803 978211419 545524799 831170430 315457214 749338870 938190926 540898693 117170175 508468198 195897869 709484408 168150734 28068910 476238051 310956365 503395574 743107920 510982871 175542616 164902400 496501356 853160049 134615547 571906411 30301...

output:

673014307

result:

ok answer is 673014307

Test #8:

score: 20
Accepted
time: 4ms
memory: 4868kb

input:

1500 1
84869614 166989354 747450885 318354182 468629235 310852979 837778150 431330542 629725556 461633318 144111853 780737550 448212230 156411054 529516696 532965288 832680007 171808740 578171819 138906067 646999869 577255724 520945848 191524210 279391236 118616133 475169973 656690767 921746491 9987...

output:

198503963

result:

ok answer is 198503963

Test #9:

score: 20
Accepted
time: 4ms
memory: 8408kb

input:

1499 1
653054925 109470906 390970530 717020107 646929995 899421577 656477148 115141158 124058719 903220561 887601227 113934280 646598227 504529205 978403334 635650813 901811669 184325048 298833048 186091439 832843285 538527614 73677668 381132501 123839498 905560988 920236941 52720461 219606200 25431...

output:

565990166

result:

ok answer is 565990166

Test #10:

score: 20
Accepted
time: 4ms
memory: 8336kb

input:

1497 1
726348046 512456833 173926091 538307623 418534968 683578224 30631565 693232361 653147127 421461401 806414082 850512423 756123873 289504683 545013209 173529651 842096476 390808284 208681427 719150123 742145616 983822793 273803111 726750786 437249415 689245884 935836777 828643432 623602409 9543...

output:

989909589

result:

ok answer is 989909589

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 96ms
memory: 23132kb

input:

100 42
544703372 456304555 178333752 808160596 628160657 264931494 810502429 20342061 203372934 920107110 466566652 470361058 680819469 879463750 668822108 781685938 40434324 800845096 913025163 971899062 986502509 122277391 523016525 579121406 413351231 882719635 632511496 453222515 350376424 37340...

output:

294362854

result:

ok answer is 294362854

Test #12:

score: 15
Accepted
time: 131ms
memory: 29712kb

input:

97 59
145973910 732552393 914117835 636326358 532988879 196179567 449096913 200286449 506667245 88914184 492830989 803343479 13122314 48886910 534862927 644699801 503933079 941278210 33036562 876272065 549714414 389742796 374688355 231452136 599779397 484904334 248135616 948542731 160728483 2816193 ...

output:

721228563

result:

ok answer is 721228563

Test #13:

score: 15
Accepted
time: 144ms
memory: 33016kb

input:

99 59
444571227 161900255 89110577 169714115 776991748 824971463 908851901 268337880 462869856 454683572 822185757 973216894 405232289 191527196 795862154 667584286 308392866 232084022 504614099 478739234 594586478 749474676 797766274 320319898 319149100 290058426 962757156 912139730 20160702 188462...

output:

983531240

result:

ok answer is 983531240

Test #14:

score: 15
Accepted
time: 38ms
memory: 14652kb

input:

100 17
127726208 743186510 693807356 129341996 847353309 986727820 227581828 30107198 624732712 785392623 895901317 215392500 848256148 91831462 833336941 263672260 404087327 572759689 68793683 2258751 459646119 598649469 49812051 790767693 137657371 877850745 750437008 103998593 672511095 21664377 ...

output:

973454852

result:

ok answer is 973454852

Test #15:

score: 15
Accepted
time: 109ms
memory: 24136kb

input:

100 44
916977821 723866535 527359595 415345224 509506855 474435823 112078586 361401748 172754292 276958823 128414574 202782635 912901635 170565341 845911624 126396287 699823031 149990522 387682802 758147090 710226510 75546714 638828895 934577998 845452877 749856580 616177589 409883183 765921061 5571...

output:

322002052

result:

ok answer is 322002052

Subtask #4:

score: 0
Time Limit Exceeded

Test #16:

score: 0
Time Limit Exceeded

input:

499 60
136856769 47869549 264538291 600887500 271130365 503375271 979728502 928286478 295751844 413206031 143796624 712745939 41348750 488666164 725432432 529794914 703056452 573552365 225245406 620490759 715276073 987544150 759181034 939466746 354701446 228245827 301255190 24876250 452483821 837389...

output:


result:


Subtask #5:

score: 0
Time Limit Exceeded

Test #21:

score: 0
Time Limit Exceeded

input:

1500 93
299567650 399978478 101776752 583392666 56762099 127237968 595272440 581887945 332400603 269986805 17840600 323055242 263161884 607605816 966029729 591250421 964262680 642691696 658567473 339363823 715151825 270553684 202478735 193930303 14517687 248178770 917823665 315265457 473654173 33965...

output:


result: