답안 #100777

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
100777 2019-03-14T09:57:57 Z TAISA_ Tents (JOI18_tents) C++14
100 / 100
175 ms 71416 KB
#include<bits/stdc++.h>
#define all(vec) vec.begin(),vec.end()
using namespace std;
using ll=long long;
const ll MOD=1000000007LL;
template<typename T> void chmax(T &a,T b){a=max(a,b);}
template<typename T> void chmin(T &a,T b){a=min(a,b);} 
vector<ll> f,fi;
ll mpow(ll x,ll n){
	ll res=1;
	while(n>0){
		if(n&1){
			res*=x;
			res%=MOD;
		}
		x*=x;
		x%=MOD;
		n>>=1;
	}
	return res;
}
void comb(ll n){
	f.resize(n+10);
	fi.resize(n+10);
	f[0]=1;
	for(ll i=1;i<=n;i++){
		f[i]=f[i-1]*i%MOD;
	}
	fi[n]=mpow(f[n],MOD-2);
	for(ll i=n-1;i>=0;i--){
		fi[i]=fi[i+1]*(i+1LL)%MOD;
	}
}
ll ncr(ll n,ll r){
	return f[n]*fi[r]%MOD*fi[n-r]%MOD;
}
int main(){
	ll h,w;cin>>h>>w;
	comb(h+w);
	vector<vector<ll>> dp(h+10,vector<ll>(w+10));
	dp[0][w]=1;
	for(ll i=1;i<=h;i++){
		for(ll j=0;j<=w;j++){
			dp[i][j]+=dp[i-1][j];
			if(j<w){
				dp[i][j]+=dp[i-1][j+1]*(j+1LL)%MOD*4LL%MOD;
				if(j<w-1){
					dp[i][j]+=dp[i-1][j+2]*((j+2LL)*(j+1LL)/2LL)%MOD;
				}
			}
			dp[i][j]%=MOD;
		}
	}
	ll ans=0;
	for(ll i=0;i<=h/2;i++){//横かぶりの個数
		ll s=1;
		for(ll j=h;j>h-i*2;j-=2){
			s*=ncr(j,2);
			s%=MOD;
		}
		for(ll j=0;j<=w;j++){//残り列数
			if(i==0&&j==w)continue;
			if(j<i)continue;
			ans+=dp[h-i*2][j]*s%MOD*ncr(j,i)%MOD;
			ans%=MOD;
		}
	}
	cout<<ans<<endl;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 6 ms 256 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 3 ms 640 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 4 ms 1024 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 6 ms 256 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 3 ms 640 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 4 ms 1024 KB Output is correct
13 Correct 3 ms 512 KB Output is correct
14 Correct 6 ms 640 KB Output is correct
15 Correct 110 ms 44664 KB Output is correct
16 Correct 13 ms 3328 KB Output is correct
17 Correct 30 ms 10368 KB Output is correct
18 Correct 31 ms 12672 KB Output is correct
19 Correct 127 ms 51832 KB Output is correct
20 Correct 128 ms 41848 KB Output is correct
21 Correct 69 ms 27644 KB Output is correct
22 Correct 69 ms 27404 KB Output is correct
23 Correct 43 ms 15480 KB Output is correct
24 Correct 168 ms 71416 KB Output is correct
25 Correct 154 ms 53240 KB Output is correct
26 Correct 157 ms 60968 KB Output is correct
27 Correct 175 ms 68748 KB Output is correct