ZOJ-1163-The Staircases

Posted 2021-02-07 angel-demon

dp[i][j]表示i个砖头构成的最高台阶不高于j的楼梯数目

Accepted

1163

C++11

0

2280

#include "bits/stdc++.h" 
using namespace std;
typedef long long LL;
const int MAXN = 500 + 5;
LL dp[MAXN][MAXN];
void init() {
    for (int i = 0; i < MAXN; i++) {
        dp[0][i] = 1;
    }
    for (int i = 1; i < MAXN; i++) {
        for (int j = 1; j <= i; j++) {
            dp[i][j] += dp[i][j - 1] + dp[i - j][j - 1];
        }
        for (int j = i + 1; j < MAXN; j++) {
            dp[i][j] = dp[i][j - 1];
        }
    }
}
int main() {
    init();
    int n;
    while (scanf("%d", &n) && n) {
        // 题目要求至少两个台阶，所以不能包含n这个高度的台阶 
        printf("%lld
", dp[n][n - 1]);
    }
    return 0;
}