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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#805161#9782. NonZero PrefSuf Sumsucup-team902#AC ✓183ms8292kbC++201.7kb2024-12-08 13:53:192024-12-08 13:53:19

Judging History

你现在查看的是最新测评结果

  • [2024-12-08 13:53:19]
  • 评测
  • 测评结果:AC
  • 用时:183ms
  • 内存:8292kb
  • [2024-12-08 13:53:19]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
const int N=100,M=N*(N+1);
int mod;
int fac[N+5],ifac[N+5];
int add(int x,int y){ return (x+=y)>=mod?x-mod:x; }
int sub(int x,int y){ return (x-=y)<0?x+mod:x; }
int ksm(ll x,int tp,int s=1){
    for(;tp;x=x*x%mod,tp>>=1) if(tp&1) s=x*s%mod;
    return s;
}
void prep(){
    fac[0]=1;
    for(int i=1;i<=N;i++) fac[i]=1ll*fac[i-1]*i%mod;
    ifac[N]=ksm(fac[N],mod-2);
    for(int i=N;i;i--) ifac[i-1]=1ll*ifac[i]*i%mod;
}
int C(int n,int m){ return n<0||m<0||n<m?0:1ll*fac[n]*ifac[m]%mod*ifac[n-m]%mod; }
int n,m;
int f[N+5][M*2+5];
int g[N+5][N+5];
int cal(int n,int m){
    memset(g,0,sizeof g);
    for(int i=0;i<=n;i++) g[i][i]=ifac[i];
    int ans=0;
    for(int i=1;i<=m;i++){
        for(int j=n;j;j--)
            for(int k=1;k<=n;k++){
                for(int l=1;l<=j&&k+l*i<=n;l++){
                    int c=1ll*g[j-l][k+l*i]*ifac[l]%mod;
                    g[j][k]=add(g[j][k],c);
                    if(j>1&&k-1<=i)
                        ans=(ans+1ll*c*ifac[n-j])%mod;
                }
            }
    }
    return 1ll*ans*fac[n]%mod;
}
int main(){
    scanf("%d %d %d",&n,&m,&mod);
    prep();
    f[0][M]=1;
    for(int i=1;i<=n;i++)
        for(int j=-m*i;j<=m*i;j++)
            for(int k=1;k<=m;k++)
                f[i][j+M]=add(f[i][j+M],add(f[i-1][j-k+M],f[i-1][j+k+M]));
    int ans=0;
    for(int i=2;i<=n;i++)
        for(int j=1;j<=i*m;j++)
            ans=(ans+1ll*C(n,i)*f[i][j+M])%mod;
    for(int l=1,r;l<=m;l=r+1){
        r=m/(m/l);
        ans=(ans-1ll*cal(n,m/l)*(r-l+1))%mod;
    }
    ans=(ans+mod)%mod;
    printf("%d\n",add(ans,ans));
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3956kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 21ms
memory: 4924kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3948kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 25ms
memory: 4944kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 35ms
memory: 5308kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 1ms
memory: 4004kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 4ms
memory: 4304kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 1ms
memory: 5996kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3968kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 12ms
memory: 4584kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 0ms
memory: 5932kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 3ms
memory: 4252kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 0ms
memory: 4052kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 2ms
memory: 4128kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 2ms
memory: 4052kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3964kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3968kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 2ms
memory: 4092kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3984kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 1ms
memory: 6000kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 0ms
memory: 4040kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3988kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 11ms
memory: 4568kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 0ms
memory: 4000kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3984kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 17ms
memory: 4624kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 0ms
memory: 4016kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 10ms
memory: 4464kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 0ms
memory: 4144kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 6ms
memory: 4472kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 183ms
memory: 8292kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed