Submission #948074

#TimeUsernameProblemLanguageResultExecution timeMemory
948074KiaRezNoM (RMI21_nom)C++17
100 / 100
332 ms43440 KiB
/* IN THE NAME OF GOD */ #include <bits/stdc++.h> // #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef pair<ll, ll> pll; typedef pair<int, int> pii; typedef long double ld; #define F first #define S second #define Mp make_pair #define pb push_back #define pf push_front #define size(x) ((ll)x.size()) #define all(x) (x).begin(),(x).end() #define kill(x) cout << x << '\n', exit(0); #define fuck(x) cout << "(" << #x << " , " << x << ")" << endl #define endl '\n' const int N = 1e5+23, lg = 18; ll Mod = 1e9+7; //998244353; inline ll MOD(ll a, ll mod=Mod) {a%=mod; (a<0)&&(a+=mod); return a;} inline ll poww(ll a, ll b, ll mod=Mod) { ll ans = 1; a=MOD(a, mod); while (b) { if (b & 1) ans = MOD(ans*a, mod); b >>= 1; a = MOD(a*a, mod); } return ans; } ll n, m, ifact[N], fact[N], dp[4005][4005], sz[N]; ll C(ll r, ll k) { if(r<0 || r>k) return 0; return MOD(fact[k] * MOD(ifact[r] * ifact[k-r])); } int main () { ios_base::sync_with_stdio(false), cin.tie(0); cin>>n>>m; fact[0] = ifact[0] = 1; for(ll i=1; i<N; i++) { fact[i] = MOD(fact[i-1] * i); ifact[i] = poww(fact[i], Mod-2); } for(int i=1; i<=m; i++) sz[i] = (2*n-i+1+m-1)/m; ll ans = 0; for(int j=0; j<=m; j++) dp[0][j] = 1; for(int i=1; i<=n; i++) { for(ll j=1; j<=m; j++) { for(ll num=0; num<=i&&2*num<=sz[j]; num++) { dp[i][j] = MOD(dp[i][j] + dp[i-num][j-1]*MOD(C(num,i) * MOD(fact[2*num]*C(2*num,sz[j])))); } } } for(ll j=0; j<=n; j++) { ll res = MOD(C(j,n)*dp[j][m])*fact[2*n-2*j]; if(j%2==0) ans = MOD(ans + res); else ans = MOD(ans - res); } cout<<ans<<endl; return 0; }
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