QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#422989 | #990. Colorful Components | wdnmdwrnmmp | AC ✓ | 70ms | 5884kb | C++14 | 2.2kb | 2024-05-27 20:41:59 | 2024-05-27 20:41:59 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i,j,k) for(int i=(j);i<=(k);i++)
#define per(i,j,k) for(int i=(j);i>=(k);i--)
#define pb push_back
#define mp make_pair
#define fi first
#define se second
typedef vector<int> vi;
typedef pair<int,int> pi;
const int N=305, mod=1e9+7;
int qpow(int x,int y){
int res=1;
while(y){
if(y%2) res=res*x%mod;
x=x*x%mod;
y/=2;
}
return res;
}int inv(int x){return qpow(x,mod-2);};
int fac[N], ifac[N];
void init(){
fac[0]=1;
rep(i,1,N-1){
fac[i]=fac[i-1]*i%mod;
}
ifac[N-1]=inv(fac[N-1]);
per(i,N-1,1){
ifac[i-1]=ifac[i]*i%mod;
}
}
int C(int m,int n){
return fac[m]*ifac[n]%mod*ifac[m-n]%mod;
}
int n,K;
int F[N][N];
int calc(int n,int m){
if(m==1){
return 1;
}
return F[n][m-2];
}
map<int,int> cnt;
int f[N][N], w[N], g[N][N];
signed main(){
#ifndef ONLINE_JUDGE
assert(freopen(".in","r",stdin));
// assert(freopen(".out","w",stdout));
#endif
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
init();
cin>>n>>K;
rep(i,0,n){
rep(j,0,n){
F[i][j]=qpow(i,j);
}
}
rep(i,1,n){
int c; cin>>c;
cnt[c]++;
}
f[0][0]=1;
rep(i,0,n){
rep(j,0,i){
rep(k,1,min(n-i,K)){
(f[i+k][j+1]+= C(i+k-1,k-1)*k%mod*f[i][j]%mod*calc(k,k) )%=mod;
}
if(j==1){
if(i<=K){
(w[i]+= (i<=1? 1: F[i][i-2]) )%=mod;
}
}
else if(j>1){
(w[i]+= f[i][j]*(j%2? 1: mod-1)%mod*calc(i,j) )%=mod;
}
}
}
g[0][0]=1;
int tot=0;
for(auto x:cnt){
int R=tot+x.se;
rep(i,tot,R-1){
rep(j,0,i){
rep(k,1,R-i){
(g[i+k][j+1]+= C(i-tot+k-1,k-1)*k%mod*w[k]%mod*g[i][j] )%=mod;
}
}
}
tot=R;
}
int ans=g[n][1]*inv(n)%mod;
rep(j,2,n){
(ans+= g[n][j]*calc(n,j) )%=mod;
}
cout<<ans<<'\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3696kb
input:
5 3 1 1 3 1 5
output:
125
result:
ok "125"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
4 2 2 1 1 1
output:
7
result:
ok "7"
Test #3:
score: 0
Accepted
time: 18ms
memory: 5736kb
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: 7ms
memory: 5812kb
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: 4ms
memory: 5884kb
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: 4ms
memory: 5872kb
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: 52ms
memory: 5720kb
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: 52ms
memory: 5788kb
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: 61ms
memory: 5744kb
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: 38ms
memory: 5784kb
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: 27ms
memory: 5792kb
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: 22ms
memory: 5884kb
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: 69ms
memory: 5732kb
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: 70ms
memory: 5884kb
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"