QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#323259#8211. Enumerating Substringsarnold518AC ✓20ms23684kbC++171.9kb2024-02-09 02:12:372024-02-09 02:12:38

Judging History

你现在查看的是最新测评结果

  • [2024-02-09 02:12:38]
  • 评测
  • 测评结果:AC
  • 用时:20ms
  • 内存:23684kb
  • [2024-02-09 02:12:37]
  • 提交

answer

#include <bits/stdc++.h>
#define ff first
#define ss second
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e6;
const int MAXM = 2000;

const int MOD = 1e9+7;
struct mint
{
	int x;
	mint() : x(0) {}
	mint(int _x) : x(_x) {}
	mint operator + (int ot) const { return x+ot>=MOD ? x+ot-MOD : x+ot; }
	mint operator - () const { return x ? MOD-x : 0; }
	mint operator - (int ot) const { return x<ot ? x+MOD-ot : x-ot; }
	mint operator * (int ot) const { return 1ll*x*ot%MOD; }
	mint operator += (int ot) { return *this=*this+ot; }
	mint operator -= (int ot) { return *this=*this-ot; }
	mint operator *= (int ot) { return *this=*this*ot; }
	operator int() { return x; }
};

mint mpow(mint a, int x)
{
	mint ret=1;
	while(x)
	{
		if(x&1) ret*=a;
		a=a*a; x>>=1;
	}
	return ret;
}
mint inv(mint x) { return mpow(x, MOD-2); }

int N, M, K;
mint dp[MAXM+10][MAXM+10];
mint powK[MAXN+10], ans;

mint f(int M, int K)
{
	if(K<0) return 0;
	mint ncr=1;
	mint ret=0;
	for(int i=0, j=1; i<=M; i++)
	{
		if((M+i)%2) continue;
		for(; j<=(M+i)/2; j++)
		{
			if(K-j+1>=0) ncr*=(K-j+1);
		}
		ret+=dp[M][i]*ncr;
	}
	return ret;
}

int main() {
	cin.tie(0); ios_base::sync_with_stdio(0);
	
	scanf("%d%d%d", &N, &M, &K);

	powK[0]=1;
	for(int i=1; i<=N; i++) powK[i]=powK[i-1]*K;

	dp[0][0]=1;
	for(int i=0; i<=M; i++)
	{
		for(int j=0; j<=i; j++)
		{
			if(j) dp[i+1][j-1]+=dp[i][j]*j;
			dp[i+1][j+1]+=dp[i][j];
		}
	}

	mint val=f(M, K);

	mint ncr=1;
	for(int i=1; i<=M/2; i++)
	{
		if(K-i+1>=0) ncr*=mint(K-i+1);
		mint g=ncr*f(M-i-i, K-i);
		int y=M-i;
		mint val2=0;
		for(int t=0; t*y<=N-M; t++)
		{
			if(t%2==0) val2+=powK[N-M-t*y]*(N-M-t*y+1);
			else val2-=powK[N-M-t*y]*(N-M-t*y+1);
		}
		ans+=val2*g;
		val-=g;
	}
	ans+=mint(N-M+1)*powK[N-M]*val;
	printf("%d\n", (int)ans);
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 23680kb

input:

4 2 3

output:

228

result:

ok 1 number(s): "228"

Test #2:

score: 0
Accepted
time: 20ms
memory: 23636kb

input:

999999 1999 12345678

output:

52352722

result:

ok 1 number(s): "52352722"

Test #3:

score: 0
Accepted
time: 0ms
memory: 23640kb

input:

7 4 2

output:

182

result:

ok 1 number(s): "182"

Test #4:

score: 0
Accepted
time: 0ms
memory: 23556kb

input:

4 3 4

output:

480

result:

ok 1 number(s): "480"

Test #5:

score: 0
Accepted
time: 4ms
memory: 23640kb

input:

3 1 1

output:

3

result:

ok 1 number(s): "3"

Test #6:

score: 0
Accepted
time: 4ms
memory: 23576kb

input:

5 5 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 0ms
memory: 23500kb

input:

7 4 3

output:

5784

result:

ok 1 number(s): "5784"

Test #8:

score: 0
Accepted
time: 0ms
memory: 23628kb

input:

5 2 4

output:

3932

result:

ok 1 number(s): "3932"

Test #9:

score: 0
Accepted
time: 0ms
memory: 23500kb

input:

8 2 2

output:

1522

result:

ok 1 number(s): "1522"

Test #10:

score: 0
Accepted
time: 0ms
memory: 23504kb

input:

8 1 2

output:

2048

result:

ok 1 number(s): "2048"

Test #11:

score: 0
Accepted
time: 0ms
memory: 23500kb

input:

7 5 3

output:

2430

result:

ok 1 number(s): "2430"

Test #12:

score: 0
Accepted
time: 0ms
memory: 23684kb

input:

10 4 3

output:

272004

result:

ok 1 number(s): "272004"

Test #13:

score: 0
Accepted
time: 4ms
memory: 23680kb

input:

675978 614 2

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 0ms
memory: 23560kb

input:

244613 38 1

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 3ms
memory: 23500kb

input:

186293 1462 1

output:

0

result:

ok 1 number(s): "0"

Test #16:

score: 0
Accepted
time: 2ms
memory: 23684kb

input:

24867 886 1

output:

0

result:

ok 1 number(s): "0"

Test #17:

score: 0
Accepted
time: 8ms
memory: 23592kb

input:

976164 1014 2

output:

0

result:

ok 1 number(s): "0"

Test #18:

score: 0
Accepted
time: 0ms
memory: 23500kb

input:

179356 2 716844809

output:

577866092

result:

ok 1 number(s): "577866092"

Test #19:

score: 0
Accepted
time: 4ms
memory: 23644kb

input:

621001 130 310625363

output:

892869197

result:

ok 1 number(s): "892869197"

Test #20:

score: 0
Accepted
time: 7ms
memory: 23676kb

input:

678862 850 754662812

output:

582264789

result:

ok 1 number(s): "582264789"

Test #21:

score: 0
Accepted
time: 7ms
memory: 23552kb

input:

650845 978 348443366

output:

825425732

result:

ok 1 number(s): "825425732"

Test #22:

score: 0
Accepted
time: 4ms
memory: 23640kb

input:

669914 402 87448112

output:

318098088

result:

ok 1 number(s): "318098088"

Test #23:

score: 0
Accepted
time: 8ms
memory: 23636kb

input:

998593 530 681228665

output:

408255654

result:

ok 1 number(s): "408255654"

Test #24:

score: 0
Accepted
time: 11ms
memory: 23676kb

input:

369361 1954 125266115

output:

509912384

result:

ok 1 number(s): "509912384"

Test #25:

score: 0
Accepted
time: 14ms
memory: 23644kb

input:

900226 1378 424079373

output:

406320917

result:

ok 1 number(s): "406320917"

Test #26:

score: 0
Accepted
time: 11ms
memory: 23640kb

input:

334887 1506 17859926

output:

503264679

result:

ok 1 number(s): "503264679"

Test #27:

score: 0
Accepted
time: 11ms
memory: 23500kb

input:

936048 544 53978328

output:

548647866

result:

ok 1 number(s): "548647866"

Test #28:

score: 0
Accepted
time: 3ms
memory: 23616kb

input:

152789 1264 792983073

output:

839541707

result:

ok 1 number(s): "839541707"

Test #29:

score: 0
Accepted
time: 9ms
memory: 23560kb

input:

714493 1392 91796331

output:

721071046

result:

ok 1 number(s): "721071046"

Test #30:

score: 0
Accepted
time: 3ms
memory: 23644kb

input:

269571 816 830801077

output:

330064211

result:

ok 1 number(s): "330064211"

Test #31:

score: 0
Accepted
time: 8ms
memory: 23556kb

input:

845120 944 424581630

output:

348960190

result:

ok 1 number(s): "348960190"

Test #32:

score: 0
Accepted
time: 3ms
memory: 23624kb

input:

533990 368 163586376

output:

522092095

result:

ok 1 number(s): "522092095"

Test #33:

score: 0
Accepted
time: 7ms
memory: 23540kb

input:

181707 1792 462399634

output:

373795106

result:

ok 1 number(s): "373795106"

Test #34:

score: 0
Accepted
time: 9ms
memory: 23496kb

input:

417349 1920 761212891

output:

587051329

result:

ok 1 number(s): "587051329"

Test #35:

score: 0
Accepted
time: 8ms
memory: 23620kb

input:

526583 1344 500217637

output:

108767800

result:

ok 1 number(s): "108767800"

Test #36:

score: 0
Accepted
time: 7ms
memory: 23640kb

input:

867054 769 93998191

output:

239123369

result:

ok 1 number(s): "239123369"

Extra Test:

score: 0
Extra Test Passed