QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#84810 | #990. Colorful Components | Kostlin | AC ✓ | 69ms | 4824kb | C++14 | 2.0kb | 2023-03-06 19:18:16 | 2023-03-06 19:18:20 |
Judging History
answer
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <iostream>
using namespace std;
#define fi first
#define sc second
#define mkp make_pair
#define pii pair<int,int>
typedef long long ll;
const int N=305,mod=1e9+7,inv2=(mod+1)/2;
inline int read() {
int x=0,flag=0;char ch=getchar();
while(ch<'0'||ch>'9') {flag|=(ch=='-');ch=getchar();}
while('0'<=ch&&ch<='9') {x=(x<<3)+(x<<1)+ch-'0';ch=getchar();}
return flag?-x:x;
}
inline int mx(int x,int y) {return x>y?x:y;}
inline int mn(int x,int y) {return x<y?x:y;}
inline void swp(int&x,int&y) {x^=y^=x^=y;}
inline int as(int x) {return x>0?x:-x;}
int n,K,c[N],tr[N],ifac[N],C[N][N],f[N][N],pw[N][N];
int F[N],G[N];
inline int ksm(int a,int b=mod-2) {
int ans=1;
while(b) {
if(b&1) ans=1ll*ans*a%mod;
a=1ll*a*a%mod;
b>>=1;
} return ans;
}
inline void prep() {
tr[1]=1;
for(int i=2;i<=n;++i) tr[i]=ksm(i,i-2);
ifac[0]=1;
for(int i=1;i<=n;++i) ifac[i]=1ll*ifac[i-1]*ksm(i)%mod;
C[0][0]=1;
for(int i=1;i<=n;++i) {
C[i][0]=C[i][i]=1;
for(int j=1;j<i;++j)
C[i][j]=(C[i-1][j]+C[i-1][j-1])%mod;
}
for(int i=1;i<=n;++i) {
pw[i][0]=1;
for(int j=1;j<=n;++j)
pw[i][j]=1ll*pw[i][j-1]*i%mod;
}
f[0][0]=1;
for(int p=1;p<=n;++p)
for(int i=1;i<=n;++i)
for(int j=1;j<=mn(i,K);++j)
f[p][i]=(f[p][i]+1ll*f[p-1][i-j]*C[i][j]%mod*tr[j]%mod*j)%mod;
for(int i=1;i<=n;++i)
for(int j=1;j<=n;++j)
f[i][j]=1ll*f[i][j]*ifac[i]%mod;
}
int main() {
n=read();K=read();
for(int i=1,x;i<=n;++i) {
x=read();
++c[x];
}
prep();
F[0]=1;
int tot=0;
for(int i=1;i<=n;++i) {
if(!c[i]) continue;
++tot;
for(int j=0;j<=n;++j)
for(int k=1;k<=c[i];++k)
G[j+k]=(G[j+k]+1ll*F[j]*f[k][c[i]]%mod*pw[n-c[i]][k-1])%mod;
for(int j=0;j<=n;++j) F[j]=G[j],G[j]=0;
}
if(tot==1) {
if(K==n) printf("%d\n",ksm(n,n-2));
else printf("0\n");
return 0;
}
int ans=0;
for(int i=tot;i<=n;++i) ans=(ans+1ll*F[i]*ksm(n,tot-2))%mod;
printf("%d\n",ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3688kb
input:
5 3 1 1 3 1 5
output:
125
result:
ok "125"
Test #2:
score: 0
Accepted
time: 2ms
memory: 3520kb
input:
4 2 2 1 1 1
output:
7
result:
ok "7"
Test #3:
score: 0
Accepted
time: 13ms
memory: 4572kb
input:
300 16 2 2 2 4 5 1 5 3 5 4 2 1 4 4 4 5 2 1 5 4 3 4 5 3 5 5 1 3 1 1 2 5 5 3 3 2 5 2 3 2 2 4 2 2 2 4 4 2 2 4 1 3 3 4 1 3 3 4 3 4 3 5 5 4 3 3 1 2 1 2 5 2 2 4 3 3 5 3 2 4 3 5 1 4 5 5 2 3 2 3 4 4 5 5 5 5 4 5 3 2 4 4 4 3 5 3 1 1 3 5 5 4 5 2 5 5 5 2 2 2 3 1 5 4 1 4 3 5 1 4 4 2 5 2 2 4 5 3 4 3 3 4 2 5 1 1 3...
output:
540253743
result:
ok "540253743"
Test #4:
score: 0
Accepted
time: 8ms
memory: 4492kb
input:
300 20 2 7 4 5 1 10 3 10 9 2 6 4 9 4 5 2 6 10 9 8 4 10 8 5 5 1 3 1 1 7 5 5 3 8 7 10 2 3 2 7 4 7 7 7 9 9 2 7 9 6 3 3 4 1 8 8 4 3 4 8 5 10 9 3 3 6 7 6 7 10 7 2 9 3 3 10 3 7 4 8 10 1 4 5 10 2 3 7 3 4 9 5 10 5 10 9 5 3 2 9 4 4 3 10 3 6 1 8 5 10 4 5 7 10 5 5 7 2 7 3 1 5 4 1 9 3 5 1 9 4 7 10 2 2 4 10 8 9 ...
output:
616258392
result:
ok "616258392"
Test #5:
score: 0
Accepted
time: 5ms
memory: 4568kb
input:
300 1 124 25 131 70 63 150 139 62 46 94 9 34 25 102 66 120 139 28 134 120 98 135 95 21 43 71 11 87 45 15 33 58 37 70 12 63 132 47 104 97 67 17 9 119 72 87 29 96 53 103 34 71 58 78 34 3 94 78 115 60 139 43 63 46 127 146 37 60 37 12 59 23 43 120 53 107 54 68 70 21 94 125 10 22 143 117 133 64 129 55 14...
output:
450350134
result:
ok "450350134"
Test #6:
score: 0
Accepted
time: 2ms
memory: 4612kb
input:
300 2 131 70 63 150 139 62 46 94 9 34 25 102 66 120 139 28 134 120 98 135 95 21 43 71 11 87 45 15 33 58 37 70 12 63 132 47 104 97 67 17 9 119 72 87 29 96 53 103 34 71 58 78 34 3 94 78 115 60 139 43 63 46 127 146 37 60 37 12 59 23 43 120 53 107 54 68 70 21 94 125 10 22 143 117 133 64 129 55 140 75 10...
output:
942808207
result:
ok "942808207"
Test #7:
score: 0
Accepted
time: 50ms
memory: 4552kb
input:
300 150 1 2 2 2 1 2 1 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 2 1 1 1 1 1 2 1 1 2 1 1 2 1 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 2 1 1 1 2 1 1 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 1 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 2 1 1 2 1 1 1 ...
output:
169425341
result:
ok "169425341"
Test #8:
score: 0
Accepted
time: 69ms
memory: 4516kb
input:
300 290 2 2 1 2 1 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 2 1 1 1 1 1 2 1 1 2 1 1 2 1 2 2 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 2 1 1 1 2 1 1 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 1 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 2 1 1 2 1 1 1 1 2 ...
output:
394671363
result:
ok "394671363"
Test #9:
score: 0
Accepted
time: 62ms
memory: 4544kb
input:
300 290 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 ...
output:
0
result:
ok "0"
Test #10:
score: 0
Accepted
time: 30ms
memory: 4572kb
input:
300 80 1 3 3 3 1 1 2 3 2 3 2 3 1 2 2 3 3 3 3 1 1 1 3 3 3 2 2 1 1 2 3 2 3 3 2 3 2 1 1 2 1 3 1 3 1 3 1 3 1 1 3 1 1 2 1 3 1 3 2 2 1 3 2 2 3 2 1 3 1 2 1 1 2 3 1 1 3 1 2 3 1 1 1 1 1 2 1 1 2 1 3 2 2 2 1 3 1 2 3 3 1 3 3 1 3 1 2 2 2 2 1 1 2 1 1 1 1 2 1 3 2 2 1 1 1 3 1 3 1 1 3 1 2 2 1 3 1 1 3 1 2 3 2 2 1 3 2...
output:
428950103
result:
ok "428950103"
Test #11:
score: 0
Accepted
time: 31ms
memory: 4752kb
input:
300 50 3 3 1 1 2 3 2 3 2 3 1 2 2 3 3 3 3 1 1 1 3 3 3 2 2 1 1 2 3 2 3 3 2 3 2 1 1 2 1 3 1 3 1 3 1 3 1 1 3 1 1 2 1 3 1 3 2 2 1 3 2 2 3 2 1 3 1 2 1 1 2 3 1 1 3 1 2 3 1 1 1 1 1 2 1 1 2 1 3 2 2 2 1 3 1 2 3 3 1 3 3 1 3 1 2 2 2 2 1 1 2 1 1 1 1 2 1 3 2 2 1 1 1 3 1 3 1 1 3 1 2 2 1 3 1 1 3 1 2 3 2 2 1 3 2 2 3...
output:
283683661
result:
ok "283683661"
Test #12:
score: 0
Accepted
time: 20ms
memory: 4820kb
input:
300 50 1 1 2 3 2 3 2 3 1 2 2 3 3 3 3 1 1 1 3 3 3 2 2 1 1 2 3 2 3 3 2 3 2 1 1 2 1 3 1 3 1 3 1 3 1 1 3 1 1 2 1 3 1 3 2 2 1 3 2 2 3 2 1 3 1 2 1 1 2 3 1 1 3 1 2 3 1 1 1 1 1 2 1 1 2 1 3 2 2 2 1 3 1 2 3 3 1 3 3 1 3 1 2 2 2 2 1 1 2 1 1 1 1 2 1 3 2 2 1 1 1 3 1 3 1 1 3 1 2 2 1 3 1 1 3 1 2 3 2 2 1 3 2 2 3 2 1...
output:
280919911
result:
ok "280919911"
Test #13:
score: 0
Accepted
time: 68ms
memory: 4824kb
input:
300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 ...
output:
394671363
result:
ok "394671363"
Test #14:
score: 0
Accepted
time: 66ms
memory: 4392kb
input:
300 299 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 ...
output:
0
result:
ok "0"