문제
링크
풀이
#include <iostream>
#include <vector>
#define MOD 1000000009
using namespace std;
vector<vector<int>> precompute(void) {
vector<vector<int>> dp(1001, vector<int>(1001));
dp[1][1] = dp[2][1] = dp[3][1] = 1;
for (int i=2; i<=1000; i++) {
for (int j=1; j<=1000; j++) {
for (int k=1; k<=3; k++) {
if (j-k > 0) dp[j][i] += dp[j-k][i-1];
dp[j][i] %= MOD;
}
}
}
return dp;
}
void solve(vector<vector<int>>& dp) {
int n, m; cin >> n >> m;
cout << dp[n][m] << "\n";
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
vector<vector<int>> dp = precompute();
int t; cin >> t;
while (t--) solve(dp);
return 0;
}