You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
39 lines
901 B
39 lines
901 B
/**
|
|
* File: climbing_stairs_constraint_dp.c
|
|
* Created Time: 2023-10-02
|
|
* Author: Zuoxun (845242523@qq.com)
|
|
*/
|
|
|
|
#include "../utils/common.h"
|
|
|
|
/* 带约束爬楼梯：动态规划 */
|
|
int climbingStairsConstraintDP(int n) {
|
|
if (n == 1 || n == 2) {
|
|
return 1;
|
|
}
|
|
// 初始化 dp 表，用于存储子问题的解
|
|
int dp[n + 1][3];
|
|
memset(dp, 0, sizeof(dp));
|
|
// 初始状态：预设最小子问题的解
|
|
dp[1][1] = 1;
|
|
dp[1][2] = 0;
|
|
dp[2][1] = 0;
|
|
dp[2][2] = 1;
|
|
// 状态转移：从较小子问题逐步求解较大子问题
|
|
for (int i = 3; i <= n; i++) {
|
|
dp[i][1] = dp[i - 1][2];
|
|
dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
|
|
}
|
|
return dp[n][1] + dp[n][2];
|
|
}
|
|
|
|
/* Driver Code */
|
|
int main() {
|
|
int n = 9;
|
|
|
|
int res = climbingStairsConstraintDP(n);
|
|
printf("爬 %d 阶楼梯共有 %d 种方案\n", n, res);
|
|
|
|
return 0;
|
|
}
|