QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#470575#8211. Enumerating SubstringsyzhangAC ✓17ms23284kbC++141.7kb2024-07-10 15:13:092024-07-10 15:13:09

Judging History

你现在查看的是最新测评结果

  • [2024-07-10 15:13:09]
  • 评测
  • 测评结果:AC
  • 用时:17ms
  • 内存:23284kb
  • [2024-07-10 15:13:09]
  • 提交

answer

#include<bits/stdc++.h>
#define N 2005
#define mod 1000000007
using namespace std;
int power(int a,int b){
    int res=1;
    while(b){
        if(b&1) res=1ll*res*a%mod;
        a=1ll*a*a%mod,b>>=1;
    }
    return res;
}
int f[N][N],g[N],fac[N],invf[N],pw[N],ipw[N],pwk[1000005];
int v[N];
int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n,m,k;
    cin>>n>>m>>k;
    fac[0]=1;
    for(int i=1;i<=m;++i) fac[i]=1ll*fac[i-1]*i%mod;
    invf[m]=power(fac[m],mod-2);
    for(int i=m;i>=1;--i) invf[i-1]=1ll*invf[i]*i%mod;
    pw[0]=1;
    for(int i=1;i<=m;++i) pw[i]=2ll*pw[i-1]%mod;
    ipw[m]=power(pw[m],mod-2);
    for(int i=m;i>=1;--i) ipw[i-1]=2ll*ipw[i]%mod;
    pwk[0]=1;
    for(int i=1;i<=n;++i) pwk[i]=1ll*pwk[i-1]*k%mod; 
    v[0]=1;
    for(int i=1;i<=m;++i)
        v[i]=1ll*v[i-1]*(k-i+1)%mod;
    f[0][0]=1;
    for(int i=1;i<=m;++i)
        for(int j=1;j<=min(i,k);++j){
            f[i][j]=f[i-1][j-1];
            if(i>=2) f[i][j]=(0ll+f[i][j]+1ll*f[i-2][j-1]*(i-1)%mod)%mod;
        }
    int ans=0;
    int nb=0;
    for(int i=1;i<=min(m,k);++i) nb=(0ll+nb+1ll*v[i]*f[m][i]%mod)%mod;
    for(int i=1;i<=m/2;++i){
        int tot=0;
        for(int j=0;i+j<=k&&i*2+j<=m;++j){
            int val=1ll*v[i+j]*f[m-i*2][j]%mod;
            // cerr<<i<<" "<<j<<" "<<v[i+j]<<endl;
            tot=(0ll+tot+val)%mod;
        }
        nb=(0ll+nb-tot+mod)%mod;
        // cerr<<i<<" "<<tot<<endl;
        int len=m;
        while(len<=n){
            ans=(0ll+ans+1ll*pwk[n-len]*(n-len+1)%mod*tot%mod)%mod;
            len+=m-i;
            tot=mod-tot;
        }
    }
    ans=(0ll+ans+1ll*pwk[n-m]*(n-m+1)%mod*nb%mod)%mod;
    cout<<ans<<'\n';
    return 0;
}

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: 5636kb

input:

4 2 3

output:

228

result:

ok 1 number(s): "228"

Test #2:

score: 0
Accepted
time: 16ms
memory: 23284kb

input:

999999 1999 12345678

output:

52352722

result:

ok 1 number(s): "52352722"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

7 4 2

output:

182

result:

ok 1 number(s): "182"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5724kb

input:

4 3 4

output:

480

result:

ok 1 number(s): "480"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

3 1 1

output:

3

result:

ok 1 number(s): "3"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5628kb

input:

5 5 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

7 4 3

output:

5784

result:

ok 1 number(s): "5784"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

5 2 4

output:

3932

result:

ok 1 number(s): "3932"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

8 2 2

output:

1522

result:

ok 1 number(s): "1522"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

8 1 2

output:

2048

result:

ok 1 number(s): "2048"

Test #11:

score: 0
Accepted
time: 0ms
memory: 5704kb

input:

7 5 3

output:

2430

result:

ok 1 number(s): "2430"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5772kb

input:

10 4 3

output:

272004

result:

ok 1 number(s): "272004"

Test #13:

score: 0
Accepted
time: 6ms
memory: 14156kb

input:

675978 614 2

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 0ms
memory: 8328kb

input:

244613 38 1

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 0ms
memory: 16696kb

input:

186293 1462 1

output:

0

result:

ok 1 number(s): "0"

Test #16:

score: 0
Accepted
time: 2ms
memory: 11820kb

input:

24867 886 1

output:

0

result:

ok 1 number(s): "0"

Test #17:

score: 0
Accepted
time: 14ms
memory: 16296kb

input:

976164 1014 2

output:

0

result:

ok 1 number(s): "0"

Test #18:

score: 0
Accepted
time: 0ms
memory: 6388kb

input:

179356 2 716844809

output:

577866092

result:

ok 1 number(s): "577866092"

Test #19:

score: 0
Accepted
time: 4ms
memory: 9208kb

input:

621001 130 310625363

output:

892869197

result:

ok 1 number(s): "892869197"

Test #20:

score: 0
Accepted
time: 8ms
memory: 15880kb

input:

678862 850 754662812

output:

582264789

result:

ok 1 number(s): "582264789"

Test #21:

score: 0
Accepted
time: 8ms
memory: 16532kb

input:

650845 978 348443366

output:

825425732

result:

ok 1 number(s): "825425732"

Test #22:

score: 0
Accepted
time: 9ms
memory: 12560kb

input:

669914 402 87448112

output:

318098088

result:

ok 1 number(s): "318098088"

Test #23:

score: 0
Accepted
time: 10ms
memory: 12536kb

input:

998593 530 681228665

output:

408255654

result:

ok 1 number(s): "408255654"

Test #24:

score: 0
Accepted
time: 8ms
memory: 20588kb

input:

369361 1954 125266115

output:

509912384

result:

ok 1 number(s): "509912384"

Test #25:

score: 0
Accepted
time: 11ms
memory: 19656kb

input:

900226 1378 424079373

output:

406320917

result:

ok 1 number(s): "406320917"

Test #26:

score: 0
Accepted
time: 8ms
memory: 17200kb

input:

334887 1506 17859926

output:

503264679

result:

ok 1 number(s): "503264679"

Test #27:

score: 0
Accepted
time: 9ms
memory: 12056kb

input:

936048 544 53978328

output:

548647866

result:

ok 1 number(s): "548647866"

Test #28:

score: 0
Accepted
time: 8ms
memory: 16612kb

input:

152789 1264 792983073

output:

839541707

result:

ok 1 number(s): "839541707"

Test #29:

score: 0
Accepted
time: 16ms
memory: 19444kb

input:

714493 1392 91796331

output:

721071046

result:

ok 1 number(s): "721071046"

Test #30:

score: 0
Accepted
time: 0ms
memory: 14732kb

input:

269571 816 830801077

output:

330064211

result:

ok 1 number(s): "330064211"

Test #31:

score: 0
Accepted
time: 10ms
memory: 16100kb

input:

845120 944 424581630

output:

348960190

result:

ok 1 number(s): "348960190"

Test #32:

score: 0
Accepted
time: 8ms
memory: 11172kb

input:

533990 368 163586376

output:

522092095

result:

ok 1 number(s): "522092095"

Test #33:

score: 0
Accepted
time: 3ms
memory: 20740kb

input:

181707 1792 462399634

output:

373795106

result:

ok 1 number(s): "373795106"

Test #34:

score: 0
Accepted
time: 17ms
memory: 22660kb

input:

417349 1920 761212891

output:

587051329

result:

ok 1 number(s): "587051329"

Test #35:

score: 0
Accepted
time: 10ms
memory: 18912kb

input:

526583 1344 500217637

output:

108767800

result:

ok 1 number(s): "108767800"

Test #36:

score: 0
Accepted
time: 9ms
memory: 15492kb

input:

867054 769 93998191

output:

239123369

result:

ok 1 number(s): "239123369"

Extra Test:

score: 0
Extra Test Passed