제출 #712479

#제출 시각아이디문제언어결과실행 시간메모리
712479AntekbTents (JOI18_tents)C++17
100 / 100
330 ms35784 KiB
#include<bits/stdc++.h> //#pragma GCC optimize("Ofast") #pragma GCC optimize("trapv") #define st first #define nd second #define pb push_back #define pp pop_back #define eb emplace_back #define mp(a, b) make_pair(a, b) #define all(x) (x).begin(), (x).end() #define rev(x) reverse(all(x)) #define sor(x) sort(all(x)) #define sz(x) (int)(x).size() #define rsz(x) resize(x) using namespace std; ///~~~~~~~~~~~~~~~~~~~~~~~~~~ template <typename H, typename T> ostream& operator<<(ostream& os, pair<H, T> m){ return os <<"("<< m.st<<", "<<m.nd<<")"; } template <typename H> ostream& operator<<(ostream& os, vector<H> V){ os<<"{"; for(int i=0; i<V.size(); i++){ if(i)os<<" "; os<<V[i]; } os<<"}"; return os; } void debug(){cerr<<"\n";} template <typename H, typename... T> void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);} #define deb(x...) cerr<<#x<<" = ";debug(x); ///~~~~~~~~~~~~~~~~~~~~~~~~~ typedef long long ll; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<pii > vii; typedef vector<ll> vl; typedef vector<pll> vll; typedef string str; #define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL); mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); const int N=3e3+5, INF=1e9+5, mod=1e9+7; int pot(int a, int b){ if(!b)return 1; if(b==1)return a; ll c=pot(a, b/2); c=(c*c)%mod; if(b&1)c=(c*a)%mod; return c; } int odw(int a){return pot(a, mod-2);} int sil[N], sil2[N], odw2[N]; int dp[N][N]; int main(){ //BOOST; sil[0]=1; for(int i=1; i<N; i++)sil[i]=(sil[i-1]*1ll*i)%mod; for(int i=1; i<N; i++)odw2[i]=odw(i); for(int i=0; i<N; i++)sil2[i]=odw(sil[i]); for(int i=0; i<N; i++)dp[0][i]=sil2[i]; for(int i=1; i<N; i++){ for(int j=0; j<N; j++){ dp[i][j]=(dp[i][j]+dp[i-1][j])%mod; if(j+1<N)dp[i][j+1]=(4ll*dp[i-1][j])%mod; } for(int j=0; j<N; j++){ dp[i][j]=(dp[i][j]*1ll*odw2[i])%mod; } } deb(4*dp[2][2]-mod); int n, m; cin>>n>>m; ll ans=0; for(int i=0; i<=n; i++){ for(int j=0; j<=m; j++){ int a=n-i-2*j, b=m-j-2*i; if(a>=0 && b>=0){ ll part=dp[a][b]; part=(part*sil2[i])%mod; part=(part*sil2[j])%mod; part=(part*pot(odw2[2], i+j))%mod; ans+=part; //deb(i, j, a, b, part*12%mod, (48*part)%mod); } } } ans%=mod; ans=(ans*sil[n])%mod; ans=(ans*sil[m])%mod; cout<<(ans+mod-1)%mod; }
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