QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#423942 | #990. Colorful Components | Iratis | AC ✓ | 493ms | 6180kb | C++14 | 2.0kb | 2024-05-28 19:53:25 | 2024-05-28 19:53:26 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define md(a) a=(a%mod+mod)%mod
#define file(a) freopen(#a".in","r",stdin);freopen(#a".out","w",stdout)
bool ST;
const int N=305,mod=1e9+7;
namespace Math
{
int fac[N],inv[N],upd,iv[N];
inline void add(int &x,const int &y){x+=y;if(x>=mod)x-=mod;}
inline void dec(int &x,const int &y){x-=y;if(x<0)x+=mod;}
inline int qp(int a,int n)
{
if(n<0)return qp(a,n+(mod-1));
int b=1;while(n){if(n&1)b=b*a%mod;a=a*a%mod,n>>=1;}return b;
}
inline void PreC()
{
upd=N-5,fac[0]=1;for(int i=1;i<=upd;i++)fac[i]=fac[i-1]*i%mod;
inv[upd]=qp(fac[upd],mod-2);for(int i=upd-1;i>=0;i--)inv[i]=inv[i+1]*(i+1)%mod;
for(int i=1;i<=upd;i++)iv[i]=inv[i]*fac[i-1]%mod;
}
inline int C(int n,int m){if(n<m||m<0)return 0;return fac[n]*inv[m]%mod*inv[n-m]%mod;}
};
using namespace Math;
int n,K,t[N],bl[N],Tree[N],st[N],f[N][N][2],g[N][N];
bool ED;
signed main()
{
int time_st=clock();
cerr<<(&ST-&ED)/1024.0/1024<<endl;ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>K;for(int i=1,x;i<=n;i++)cin>>x,t[x]++;int now=0;PreC();
for(int i=1;i<=n;i++){st[i]=now;for(int j=1;j<=t[i];j++)now++,bl[now]=i;}
Tree[1]=1;for(int i=2;i<=n;i++)Tree[i]=qp(i,i-2);g[0][0]=1;
for(int i=0;i<=n;i++)for(int j=0;j<=n;j++)if(g[i][j])
{
for(int k=1;k<=n-i;k++)if(k<=K)add(g[i+k][j+1],g[i][j]*Tree[k]%mod*k%mod*C(i+k-1,k-1)%mod);
}
for(int i=1;i<=n;i++)
{
int w[2]={0,0};
for(int j=1;j<=n;j++)add(w[(j-1)&1],g[i][j]*qp(i,j-2)%mod);
g[i][0]=w[0],g[i][1]=w[1];
}f[0][0][0]=1;
for(int i=0;i<=n;i++)for(int j=0;j<=n;j++)for(int p=0;p<2;p++)
{
for(int k=1;k<=n-i;k++)if(bl[i+1]==bl[i+k])for(int q=0;q<2;q++)
{
add(f[i+k][j+1][p^q],f[i][j][p]*g[k][q]%mod*k%mod*C(i-st[bl[i+1]]+k-1,k-1)%mod);
}
}
int ans=0;
for(int t=1;t<=n;t++)for(int p=0;p<2;p++)
{
int w=f[n][t][p]*qp(n,t-2)%mod;
if(!p)add(ans,w);else dec(ans,w);
}
cout<<ans<<'\n';
cerr<<(clock()-time_st)/1e6<<endl;return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 4004kb
input:
5 3 1 1 3 1 5
output:
125
result:
ok "125"
Test #2:
score: 0
Accepted
time: 1ms
memory: 4044kb
input:
4 2 2 1 1 1
output:
7
result:
ok "7"
Test #3:
score: 0
Accepted
time: 115ms
memory: 6164kb
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: 72ms
memory: 6164kb
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: 21ms
memory: 6124kb
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: 28ms
memory: 6028kb
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: 263ms
memory: 6120kb
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: 266ms
memory: 6168kb
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: 477ms
memory: 6148kb
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: 175ms
memory: 6088kb
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: 180ms
memory: 6116kb
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: 95ms
memory: 6032kb
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: 480ms
memory: 6168kb
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: 493ms
memory: 6180kb
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"