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 pb push_back
#define F first
#define S second
#define debug(x) cout << #x << "= " << x << ", "
#define ll long long
#define fast ios::sync_with_stdio(false), cin.tie(0), cout.tie(0)
#define SZ(x) (int) x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 2e3 + 10 , mod = 1e9 + 7;
int n , k , dp[maxn] , cnt[maxn] , val[maxn] , C[maxn][maxn];
string ar[maxn];
int32_t main()
{
fast;
C[0][0] = 1;
for(int i = 1 ; i < maxn ; i++)
{
C[i][0] = 1;
for(int j = 1 ; j <= i ; j++)
{
C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % mod;
}
}
cin >> n >> k;
for(int i = 0 ; i < n ; i++)
{
cin >> ar[i];
sort(ar[i].begin() , ar[i].end());
}
sort(ar , ar + n);
int ps = 1;
cnt[ps] = 1;
for(int i = 1 ; i < n ; i++)
{
if(ar[i] != ar[i - 1])
ps++;
cnt[ps]++;
}
dp[0] = 1;
for(int i = 1 ; i <= ps ; i++)
{
for(int j = k ; j > -1 ; j--)
{
for(int num = 1 ; num <= cnt[i] ; num++)
{
if(j < C[num][2])
break;
dp[j] = (dp[j] + 1LL * C[cnt[i]][num] * dp[j - C[num][2]] % mod) % mod;
}
}
}
cout << dp[k] << endl;
return 0;
}
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