Submission #797830

#TimeUsernameProblemLanguageResultExecution timeMemory
797830amirhoseinfar1385Kangaroo (CEOI16_kangaroo)C++17
100 / 100
50 ms45856 KiB
#include<bits/stdc++.h>
using namespace std;
const int maxn=2000+10;
int mod=1e9+7;
int pd[maxn][maxn],res[maxn][maxn][2];
int n,s,e;

int ww(long  long a){
	if(a>=mod){
		a-=mod;
	}
	return a;
}

inline void calpd(){
	pd[1][1]=1;
	pd[2][1]=0;
	pd[2][2]=1;
	for(int i=3;i<=n;i++){
		if((i&1)==0){
			for(int j=1;j<=i;j++){
				pd[i][j]=ww(ww(pd[i][j-1]+pd[i-1][i-j+1])+pd[i-1][j-1]);
			}
		}
		else{
			for(int j=2;j<=i;j++){
				pd[i][j]=ww(ww(pd[i][j-1]+mod-pd[i-1][j-1])+pd[i-1][i-j+1]);
			}
		}
	}
}

int caldp(int fn,int i,int j,int k){
	int mainres=0;
	if(fn==0){
		if(i==0&&j==0&&k==0){
			return 1;
		}
		return 0;
	}
	if(res[fn][i][k]!=-1){
		return res[fn][i][k];
	}
	mainres+=caldp(fn-1,i+1,j,k);
	if(k==0){
		mainres+=pd[j+i+fn][j+1];
		mainres=ww(mainres);
		mainres+=caldp(fn-1,i,j,k^1);
		mainres=ww(mainres);
	}
	else{
		mainres+=pd[fn+i+j][fn+i];
		mainres=ww(mainres);
		mainres+=mod-caldp(fn-1,i,j,k^1);
		mainres=ww(mainres);
	}
	res[fn][i][k]=mainres;
	return mainres;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin>>n>>s>>e;
	if(s>e){
		swap(s,e);
	}
	for(int i=0;i<maxn;i++){
		for(int j=0;j<maxn;j++){
			for(int h=0;h<2;h++){
				res[i][j][h]=-1;
			}
		}
	}
	calpd();
	int res=ww(caldp(e-s,s-1,n-e,0)+caldp(e-s,s-1,n-e,1));
	s++;
	res+=mod-ww(caldp(e-s,s-1,n-e,0)+caldp(e-s,s-1,n-e,1));
	res=ww(res);
	cout<<res<<"\n";
	return 0;
}
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