Submission #45221

#TimeUsernameProblemLanguageResultExecution timeMemory
45221sorry_BenqKangaroo (CEOI16_kangaroo)C++17
36 / 100
6 ms1620 KiB
#include <bits/stdc++.h>
using namespace std;
const int MOD = 1e9 + 7;

int DPplus[41][41][41];
int DPminus[41][41][41];

int main(){
	int N, cs, cf; cin >> N >> cs >> cf;
	DPplus[2][1][2] = 1LL;
	DPminus[2][2][1] = 1LL;
	for (int i = 3; i <= 40; i++){
		for (int k = 1; k <= i; k++){
			for (int j = 1; j <= i; j++){
				if (k == j) continue;
				DPplus[i][j][k] = 0LL;
				DPminus[i][j][k] = 0LL;
				for (int l = 1; l <= j - 1; l++){
					int eps = (k > j);
					DPminus[i][j][k] += DPplus[i - 1][l][k - eps];
					DPminus[i][j][k] %= MOD;
				}
				for (int l = j + 1; l <= i; l++){
					int eps = (k > j);
					DPplus[i][j][k] += DPminus[i - 1][l - 1][k - eps];
					DPplus[i][j][k] %= MOD; 
				}
			}
		}
	}
	cout << (DPplus[N][cs][cf] + DPminus[N][cs][cf]) % MOD << endl;
}
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