This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=2e3;
const int MOD=1e9+7;
map<string,int> cnt;
int t[N+10];
long long ch[N+10][N+10];
long long dp[N+10][N+10];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n,k;
cin>>n>>k;
for(int i=1;i<=n;i++)
{
string s;
cin>>s;
sort(s.begin(),s.end());
cnt[s]++;
}
ch[0][0]=1;
for(int i=1;i<=n;i++)
{
ch[i][0]=1;
for(int j=1;j<=n;j++)
ch[i][j]=(ch[i-1][j-1]+ch[i-1][j])%MOD;
}
n=0;
for(auto &v:cnt)
t[++n]=v.se;
dp[0][0]=1;
for(int i=1;i<=n;i++)
{
for(int j=0;j<=k;j++)
{
for(int l=0;l<=t[i] && ch[l][2]<=j;l++)
dp[i][j]=(dp[i][j]+dp[i-1][j-ch[l][2]]*ch[t[i]][l])%MOD;
}
}
cout<<dp[n][k]<<"\n";
return 0;
}
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