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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#470575 | #8211. Enumerating Substrings | yzhang | AC ✓ | 17ms | 23284kb | C++14 | 1.7kb | 2024-07-10 15:13:09 | 2024-07-10 15:13:09 |
Judging History
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