이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for ( int i = a ; i <= b ; i++ )
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define pii pair<int , int>
#define Lg(x) 31 - __builtin_clz(x)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 2e3 + 5;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void setupIO(){
#define name "Whisper"
//Phu Trong from Nguyen Tat Thanh High School for gifted student
srand(time(NULL));
cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
cout << fixed << setprecision(10);
}
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int nArr, numNeed;
unordered_map<string, int> cnt;
vector<string> a;
int dp[MAX][MAX];
void add(int&x, int y){
x += y;
if (x >= Mod) x -= Mod;
}
int inv[MAX], fac[MAX];
int power(int a, int exp){
int res = 1;
for ( ; exp > 0; exp >>= 1, a = (1ll * a * a) % Mod) if(exp & 1){
res = (1ll * res * a) % Mod;
}
return res;
}
void genFac(int n){
inv[0] = fac[0] = 1;
for (int i = 1; i <= n; ++i){
fac[i] = fac[i - 1] *i % Mod;
}
inv[n] = power(fac[n], Mod - 2);
for (int i = n; i >= 1; --i) inv[i - 1] = 1ll * inv[i] * i % Mod;
}
int C(int n, int k){
if (n < k) return 0;
assert(n >= k);
return 1ll * fac[n] * inv[n - k] % Mod * inv[k] % Mod;
}
int A(int n, int k){
assert(n >= k);
return 1ll * fac[n] * inv[n - k] % Mod;
}
void Whisper(){
cin >> nArr >> numNeed;
a.push_back("");
for (int i = 1; i <= nArr; ++i){
string s; cin >> s;
sort(s.begin(), s.end());
if (!cnt.count(s)) a.push_back(s);
cnt[s]++;
}
genFac(nArr + 5);
nArr = (int)a.size() - 1;
dp[0][0] = 1;
for (int i = 1; i <= nArr; ++i){
int c = cnt[a[i]];
for (int k = 0; k <= numNeed; ++k){
for (int v = 0; C(v, 2) <= k && v <= c; ++v){
add(dp[i][k], dp[i - 1][k - C(v, 2)] * C(c, v) % Mod);
}
}
}
cout << dp[nArr][numNeed];
}
signed main(){
setupIO();
int Test = 1;
// cin >> Test;
for ( int i = 1 ; i <= Test ; i++ ){
Whisper();
if (i < Test) cout << '\n';
}
}
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