feat: Add Dart codes for chapter_dynamic_programming and chapter_greedy (#683)

* feat: Add Dart codes for chapter_dynamic_programming

* feat: Add Dart codes for chapter_greedy
This commit is contained in:
liuyuxin
2023-08-13 19:29:54 +08:00
committed by GitHub
parent 4325974af1
commit 10c397b172
16 changed files with 949 additions and 0 deletions
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/**
* File: climbing_stairs_constraint_dp.dart
* Created Time: 2023-08-11
* Author: liuyuxin (gvenusleo@gmail.com)
*/
/* 带约束爬楼梯:动态规划 */
int climbingStairsConstraintDP(int n) {
if (n == 1 || n == 2) {
return n;
}
// 初始化 dp 表,用于存储子问题的解
List<List<int>> dp = List.generate(n + 1, (index) => List.filled(3, 0));
// 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 */
void main() {
int n = 9;
int res = climbingStairsConstraintDP(n);
print("$n 阶楼梯共有 $res 种方案");
}