Submission #797806

#TimeUsernameProblemLanguageResultExecution timeMemory
797806amirhoseinfar1385캥거루 (CEOI16_kangaroo)C++17
51 / 100
126 ms152116 KiB
#include<bits/stdc++.h>
using namespace std;
const int maxn=200+10;
int mod=1e9+7;
long long dp[maxn][maxn][maxn][2],pd[maxn][maxn];
int n,s,e;

int ww(long  long a){
	a%=mod;
	return a;
}

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

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin>>n>>s>>e;
	if(s>e){
		swap(s,e);
	}
	calpd();
	dp[0][0][0][0]=1;
	for(int sum=1;sum<=n;sum++){
		for(int fn=1;fn<=sum;fn++){
			for(int i=sum-fn;i>=0;i--){
				int j=sum-fn-i;
				for(int k=0;k<2;k++){
					//if(s==)
					dp[fn][i][j][k]=dp[fn-1][i+1][j][k];
					if(k==0){
						//dp[fn][i][j][k]+=dp[j][0][i+fn-1][k];
						dp[fn][i][j][k]+=pd[j+i+fn][j+1];
						if(j>0){
							dp[fn][i][j][k]+=dp[j-1][1][fn+i-1][k];
//							if(pd[j+i+fn][j+1]+dp[j-1][1][fn+i-1][k]!=dp[j][0][i+fn-1][k]){
//								cout<<"wtfa: "<<fn<<" "<<i<<" "<<j<<" "<<pd[j+i+fn][j+1]+dp[j-1][1][fn+i-1][k]<<" "<<dp[j][0][i+fn-1][k]<<"\n";
//							}
						}
						else{
//							if(pd[j+i+fn][j+1]!=dp[j][0][i+fn-1][k]){
//								cout<<"wtfa: "<<fn<<" "<<i<<" "<<j<<" "<<pd[j+i+fn][j+1]<<" "<<dp[j][0][i+fn-1][k]<<"\n";
//							}
						}
						dp[fn][i][j][k]+=dp[fn-1][i][j][k^1];
					}
					else{
						//dp[fn][i][j][k]+=dp[fn+i-1][0][j][k^1];
						dp[fn][i][j][k]+=pd[fn+i+j][fn+i];
						if(fn+i>=2){
							dp[fn][i][j][k]+=dp[fn+i-2][1][j][k^1];
//							if(pd[fn+i+j][fn+i]+dp[fn+i-2][1][j][k^1]!=dp[fn+i-1][0][j][k^1]){
//								cout<<"wtf: "<<fn<<" "<<i<<" "<<j<<" "<<pd[fn+i+j][fn+i]+dp[fn+i-2][1][j][k^1]<<" "<<dp[fn+i-1][0][j][k^1]<<"\n";
//							}
						}
						else{
//							if(pd[fn+i+j][fn+i]!=dp[fn+i-1][0][j][k^1]){
//								cout<<"wtf: "<<fn<<" "<<i<<" "<<j<<" "<<pd[fn+i+j][fn+i]<<" "<<dp[fn+i-1][0][j][k^1]<<"\n";
//							}
						}
						dp[fn][i][j][k]+=mod-dp[fn-1][i][j][k^1];
					}
					dp[fn][i][j][k]=ww(ww(dp[fn][i][j][k]));
//					cout<<fn<<" "<<i<<" "<<j<<" "<<k<<" "<<dp[fn][i][j][k]<<'\n';
				}
			}
		}
	}
	int res=ww(dp[e-s][s-1][n-e][0]+dp[e-s][s-1][n-e][1]);
	s++;
	res+=mod-ww(dp[e-s][s-1][n-e][0]+dp[e-s][s-1][n-e][1]);
	res=ww(res);
	cout<<res<<"\n";
	return 0;
}
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