mirror of
				https://github.com/krahets/hello-algo.git
				synced 2025-11-04 14:18:20 +08:00 
			
		
		
		
	fix: Update C code for compatibility with the MSVC compiler (#949)
* Replace VLA with malloc Replace VLA with malloc to make C code compatible with cl compiler on Windows. * Fix C code for CI compiler. * Fix C code compability to CI. * check the trigger
This commit is contained in:
		@ -76,7 +76,7 @@ int main() {
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    printf("数组 arr = ");
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    printArray(arr, size);
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    int nums[5] = {1, 3, 2, 5, 4};
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    int nums[] = {1, 3, 2, 5, 4};
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    printf("数组 nums = ");
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    printArray(nums, size);
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@ -36,7 +36,7 @@ int main() {
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    preOrder(root);
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    printf("\n输出所有值为 7 的节点\n");
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    int vals[resSize];
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    int *vals = malloc(resSize * sizeof(int));
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    for (int i = 0; i < resSize; i++) {
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        vals[i] = res[i]->val;
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    }
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@ -44,5 +44,6 @@ int main() {
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    // 释放内存
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    freeMemoryTree(root);
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    free(vals);
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    return 0;
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}
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@ -46,12 +46,13 @@ int main() {
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    printf("\n输出所有根节点到节点 7 的路径\n");
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    for (int i = 0; i < resSize; ++i) {
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        int vals[MAX_SIZE];
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        int *vals = malloc(MAX_SIZE * sizeof(int));
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        int size = 0;
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        for (int j = 0; res[i][j] != NULL; ++j) {
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            vals[size++] = res[i][j]->val;
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        }
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        printArray(vals, size);
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        free(vals);
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    }
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    // 释放内存
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@ -47,12 +47,13 @@ int main() {
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    printf("\n输出所有根节点到节点 7 的路径,要求路径中不包含值为 3 的节点\n");
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    for (int i = 0; i < resSize; ++i) {
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        int vals[MAX_SIZE];
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        int *vals = malloc(MAX_SIZE * sizeof(int));
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        int size = 0;
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        for (int j = 0; res[i][j] != NULL; ++j) {
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            vals[size++] = res[i][j]->val;
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        }
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        printArray(vals, size);
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        free(vals);
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    }
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    // 释放内存
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@ -78,12 +78,13 @@ int main() {
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    printf("\n输出所有根节点到节点 7 的路径,要求路径中不包含值为 3 的节点\n");
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    for (int i = 0; i < resSize; ++i) {
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        int vals[MAX_SIZE];
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        int *vals = malloc(MAX_SIZE * sizeof(int));
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        int size = 0;
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        for (int j = 0; res[i][j] != NULL; ++j) {
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            vals[size++] = res[i][j]->val;
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        }
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        printArray(vals, size);
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        free(vals);
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    }
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    // 释放内存
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@ -12,8 +12,10 @@ int climbingStairsConstraintDP(int n) {
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        return 1;
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    }
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    // 初始化 dp 表,用于存储子问题的解
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    int dp[n + 1][3];
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    memset(dp, 0, sizeof(dp));
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    int **dp = malloc((n + 1) * sizeof(int *));
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    for (int i = 0; i <= n; i++) {
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        dp[i] = calloc(3, sizeof(int));
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    }
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    // 初始状态:预设最小子问题的解
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    dp[1][1] = 1;
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    dp[1][2] = 0;
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@ -24,7 +26,13 @@ int climbingStairsConstraintDP(int n) {
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        dp[i][1] = dp[i - 1][2];
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        dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
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    }
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    return dp[n][1] + dp[n][2];
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    int res = dp[n][1] + dp[n][2];
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    // 释放内存
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    for (int i = 0; i <= n; i++) {
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        free(dp[i]);
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    }
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    free(dp);
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    return res;
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}
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/* Driver Code */
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@ -7,7 +7,7 @@
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#include "../utils/common.h"
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/* 求最小值 */
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int min(int a, int b) {
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int myMin(int a, int b) {
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    return a < b ? a : b;
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}
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@ -16,8 +16,10 @@ int coinChangeDP(int coins[], int amt, int coinsSize) {
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    int n = coinsSize;
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    int MAX = amt + 1;
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    // 初始化 dp 表
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    int dp[n + 1][amt + 1];
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    memset(dp, 0, sizeof(dp));
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    int **dp = malloc((n + 1) * sizeof(int *));
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    for (int i = 0; i <= n; i++) {
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        dp[i] = calloc(amt + 1, sizeof(int));
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    }
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    // 状态转移:首行首列
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    for (int a = 1; a <= amt; a++) {
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        dp[0][a] = MAX;
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@ -30,11 +32,17 @@ int coinChangeDP(int coins[], int amt, int coinsSize) {
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                dp[i][a] = dp[i - 1][a];
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            } else {
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                // 不选和选硬币 i 这两种方案的较小值
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                dp[i][a] = min(dp[i - 1][a], dp[i][a - coins[i - 1]] + 1);
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                dp[i][a] = myMin(dp[i - 1][a], dp[i][a - coins[i - 1]] + 1);
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            }
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        }
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    }
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    return dp[n][amt] != MAX ? dp[n][amt] : -1;
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    int res = dp[n][amt] != MAX ? dp[n][amt] : -1;
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    // 释放内存
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    for (int i = 0; i <= n; i++) {
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        free(dp[i]);
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    }
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    free(dp);
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    return res;
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}
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/* 零钱兑换:空间优化后的动态规划 */
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@ -42,8 +50,7 @@ int coinChangeDPComp(int coins[], int amt, int coinsSize) {
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    int n = coinsSize;
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    int MAX = amt + 1;
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    // 初始化 dp 表
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    int dp[amt + 1];
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    memset(dp, MAX, sizeof(dp));
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    int *dp = calloc(amt + 1, sizeof(int));
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    dp[0] = 0;
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    // 状态转移
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    for (int i = 1; i <= n; i++) {
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@ -53,11 +60,14 @@ int coinChangeDPComp(int coins[], int amt, int coinsSize) {
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                dp[a] = dp[a];
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            } else {
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                // 不选和选硬币 i 这两种方案的较小值
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                dp[a] = min(dp[a], dp[a - coins[i - 1]] + 1);
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                dp[a] = myMin(dp[a], dp[a - coins[i - 1]] + 1);
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            }
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        }
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    }
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    return dp[amt] != MAX ? dp[amt] : -1;
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    int res = dp[amt] != MAX ? dp[amt] : -1;
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    // 释放内存
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    free(dp);
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    return res;
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}
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/* Driver code */
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@ -10,8 +10,10 @@
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int coinChangeIIDP(int coins[], int amt, int coinsSize) {
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    int n = coinsSize;
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    // 初始化 dp 表
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    int dp[n + 1][amt + 1];
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    memset(dp, 0, sizeof(dp));
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    int **dp = malloc((n + 1) * sizeof(int *));
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    for (int i = 0; i <= n; i++) {
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        dp[i] = calloc(amt + 1, sizeof(int));
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    }
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    // 初始化首列
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    for (int i = 0; i <= n; i++) {
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        dp[i][0] = 1;
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@ -28,15 +30,20 @@ int coinChangeIIDP(int coins[], int amt, int coinsSize) {
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            }
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        }
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    }
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    return dp[n][amt];
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    int res = dp[n][amt];
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    // 释放内存
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    for (int i = 0; i <= n; i++) {
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        free(dp[i]);
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    }
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    free(dp);
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    return res;
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}
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/* 零钱兑换 II:空间优化后的动态规划 */
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int coinChangeIIDPComp(int coins[], int amt, int coinsSize) {
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    int n = coinsSize;
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    // 初始化 dp 表
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    int dp[amt + 1];
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    memset(dp, 0, sizeof(dp));
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    int *dp = calloc(amt + 1, sizeof(int));
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    dp[0] = 1;
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    // 状态转移
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    for (int i = 1; i <= n; i++) {
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@ -50,7 +57,10 @@ int coinChangeIIDPComp(int coins[], int amt, int coinsSize) {
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            }
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        }
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    }
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    return dp[amt];
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    int res = dp[amt];
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    // 释放内存
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    free(dp);
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    return res;
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}
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/* Driver code */
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@ -7,7 +7,7 @@
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#include "../utils/common.h"
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/* 求最小值 */
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int min(int a, int b) {
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int myMin(int a, int b) {
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    return a < b ? a : b;
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}
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@ -30,11 +30,11 @@ int editDistanceDFS(char *s, char *t, int i, int j) {
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    int del = editDistanceDFS(s, t, i - 1, j);
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    int replace = editDistanceDFS(s, t, i - 1, j - 1);
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    // 返回最少编辑步数
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    return min(min(insert, del), replace) + 1;
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    return myMin(myMin(insert, del), replace) + 1;
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}
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/* 编辑距离:记忆化搜索 */
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int editDistanceDFSMem(char *s, char *t, int memCols, int mem[][memCols], int i, int j) {
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int editDistanceDFSMem(char *s, char *t, int memCols, int **mem, int i, int j) {
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    // 若 s 和 t 都为空,则返回 0
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    if (i == 0 && j == 0)
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        return 0;
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@ -55,14 +55,16 @@ int editDistanceDFSMem(char *s, char *t, int memCols, int mem[][memCols], int i,
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    int del = editDistanceDFSMem(s, t, memCols, mem, i - 1, j);
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    int replace = editDistanceDFSMem(s, t, memCols, mem, i - 1, j - 1);
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    // 记录并返回最少编辑步数
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    mem[i][j] = min(min(insert, del), replace) + 1;
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    mem[i][j] = myMin(myMin(insert, del), replace) + 1;
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    return mem[i][j];
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}
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/* 编辑距离:动态规划 */
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int editDistanceDP(char *s, char *t, int n, int m) {
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    int dp[n + 1][m + 1];
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    memset(dp, 0, sizeof(dp));
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    int **dp = malloc((n + 1) * sizeof(int *));
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    for (int i = 0; i <= n; i++) {
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        dp[i] = calloc(m + 1, sizeof(int));
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		||||
    }
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		||||
    // 状态转移:首行首列
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    for (int i = 1; i <= n; i++) {
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        dp[i][0] = i;
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		||||
@ -78,17 +80,21 @@ int editDistanceDP(char *s, char *t, int n, int m) {
 | 
			
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                dp[i][j] = dp[i - 1][j - 1];
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		||||
            } else {
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		||||
                // 最少编辑步数 = 插入、删除、替换这三种操作的最少编辑步数 + 1
 | 
			
		||||
                dp[i][j] = min(min(dp[i][j - 1], dp[i - 1][j]), dp[i - 1][j - 1]) + 1;
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		||||
                dp[i][j] = myMin(myMin(dp[i][j - 1], dp[i - 1][j]), dp[i - 1][j - 1]) + 1;
 | 
			
		||||
            }
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		||||
        }
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		||||
    }
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		||||
    return dp[n][m];
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		||||
    int res = dp[n][m];
 | 
			
		||||
    // 释放内存
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		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        free(dp[i]);
 | 
			
		||||
    }
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		||||
    return res;
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		||||
}
 | 
			
		||||
 | 
			
		||||
/* 编辑距离:空间优化后的动态规划 */
 | 
			
		||||
int editDistanceDPComp(char *s, char *t, int n, int m) {
 | 
			
		||||
    int dp[m + 1];
 | 
			
		||||
    memset(dp, 0, sizeof(dp));
 | 
			
		||||
    int *dp = calloc(m + 1, sizeof(int));
 | 
			
		||||
    // 状态转移:首行
 | 
			
		||||
    for (int j = 1; j <= m; j++) {
 | 
			
		||||
        dp[j] = j;
 | 
			
		||||
@ -106,12 +112,15 @@ int editDistanceDPComp(char *s, char *t, int n, int m) {
 | 
			
		||||
                dp[j] = leftup;
 | 
			
		||||
            } else {
 | 
			
		||||
                // 最少编辑步数 = 插入、删除、替换这三种操作的最少编辑步数 + 1
 | 
			
		||||
                dp[j] = min(min(dp[j - 1], dp[j]), leftup) + 1;
 | 
			
		||||
                dp[j] = myMin(myMin(dp[j - 1], dp[j]), leftup) + 1;
 | 
			
		||||
            }
 | 
			
		||||
            leftup = temp; // 更新为下一轮的 dp[i-1, j-1]
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[m];
 | 
			
		||||
    int res = dp[m];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    free(dp);
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
@ -125,10 +134,18 @@ int main() {
 | 
			
		||||
    printf("将 %s 更改为 %s 最少需要编辑 %d 步\n", s, t, res);
 | 
			
		||||
 | 
			
		||||
    // 记忆化搜索
 | 
			
		||||
    int mem[n + 1][m + 1];
 | 
			
		||||
    memset(mem, -1, sizeof(mem));
 | 
			
		||||
    int **mem = malloc((n + 1) * sizeof(int *));
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        mem[i] = malloc((m + 1) * sizeof(int));
 | 
			
		||||
        memset(mem[i], -1, (m + 1) * sizeof(int));
 | 
			
		||||
    }
 | 
			
		||||
    res = editDistanceDFSMem(s, t, m + 1, mem, n, m);
 | 
			
		||||
    printf("将 %s 更改为 %s 最少需要编辑 %d 步\n", s, t, res);
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        free(mem[i]);
 | 
			
		||||
    }
 | 
			
		||||
    free(mem);
 | 
			
		||||
 | 
			
		||||
    // 动态规划
 | 
			
		||||
    res = editDistanceDP(s, t, n, m);
 | 
			
		||||
 | 
			
		||||
@ -7,7 +7,7 @@
 | 
			
		||||
#include "../utils/common.h"
 | 
			
		||||
 | 
			
		||||
/* 求最大值 */
 | 
			
		||||
int max(int a, int b) {
 | 
			
		||||
int myMax(int a, int b) {
 | 
			
		||||
    return a > b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
@ -25,11 +25,11 @@ int knapsackDFS(int wgt[], int val[], int i, int c) {
 | 
			
		||||
    int no = knapsackDFS(wgt, val, i - 1, c);
 | 
			
		||||
    int yes = knapsackDFS(wgt, val, i - 1, c - wgt[i - 1]) + val[i - 1];
 | 
			
		||||
    // 返回两种方案中价值更大的那一个
 | 
			
		||||
    return max(no, yes);
 | 
			
		||||
    return myMax(no, yes);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 0-1 背包:记忆化搜索 */
 | 
			
		||||
int knapsackDFSMem(int wgt[], int val[], int memCols, int mem[][memCols], int i, int c) {
 | 
			
		||||
int knapsackDFSMem(int wgt[], int val[], int memCols, int **mem, int i, int c) {
 | 
			
		||||
    // 若已选完所有物品或背包无容量,则返回价值 0
 | 
			
		||||
    if (i == 0 || c == 0) {
 | 
			
		||||
        return 0;
 | 
			
		||||
@ -46,7 +46,7 @@ int knapsackDFSMem(int wgt[], int val[], int memCols, int mem[][memCols], int i,
 | 
			
		||||
    int no = knapsackDFSMem(wgt, val, memCols, mem, i - 1, c);
 | 
			
		||||
    int yes = knapsackDFSMem(wgt, val, memCols, mem, i - 1, c - wgt[i - 1]) + val[i - 1];
 | 
			
		||||
    // 记录并返回两种方案中价值更大的那一个
 | 
			
		||||
    mem[i][c] = max(no, yes);
 | 
			
		||||
    mem[i][c] = myMax(no, yes);
 | 
			
		||||
    return mem[i][c];
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
@ -54,8 +54,10 @@ int knapsackDFSMem(int wgt[], int val[], int memCols, int mem[][memCols], int i,
 | 
			
		||||
int knapsackDP(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
    int n = wgtSize;
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[n + 1][cap + 1];
 | 
			
		||||
    memset(dp, 0, sizeof(dp));
 | 
			
		||||
    int **dp = malloc((n + 1) * sizeof(int *));
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        dp[i] = calloc(cap + 1, sizeof(int));
 | 
			
		||||
    }
 | 
			
		||||
    // 状态转移
 | 
			
		||||
    for (int i = 1; i <= n; i++) {
 | 
			
		||||
        for (int c = 1; c <= cap; c++) {
 | 
			
		||||
@ -64,30 +66,37 @@ int knapsackDP(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
                dp[i][c] = dp[i - 1][c];
 | 
			
		||||
            } else {
 | 
			
		||||
                // 不选和选物品 i 这两种方案的较大值
 | 
			
		||||
                dp[i][c] = max(dp[i - 1][c], dp[i - 1][c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
                dp[i][c] = myMax(dp[i - 1][c], dp[i - 1][c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[n][cap];
 | 
			
		||||
    int res = dp[n][cap];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        free(dp[i]);
 | 
			
		||||
    }
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 0-1 背包:空间优化后的动态规划 */
 | 
			
		||||
int knapsackDPComp(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
    int n = wgtSize;
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[cap + 1];
 | 
			
		||||
    memset(dp, 0, sizeof(dp));
 | 
			
		||||
    int *dp = calloc(cap + 1, sizeof(int));
 | 
			
		||||
    // 状态转移
 | 
			
		||||
    for (int i = 1; i <= n; i++) {
 | 
			
		||||
        // 倒序遍历
 | 
			
		||||
        for (int c = cap; c >= 1; c--) {
 | 
			
		||||
            if (wgt[i - 1] <= c) {
 | 
			
		||||
                // 不选和选物品 i 这两种方案的较大值
 | 
			
		||||
                dp[c] = max(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
                dp[c] = myMax(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[cap];
 | 
			
		||||
    int res = dp[cap];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    free(dp);
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
@ -103,10 +112,18 @@ int main() {
 | 
			
		||||
    printf("不超过背包容量的最大物品价值为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
    // 记忆化搜索
 | 
			
		||||
    int mem[n + 1][cap + 1];
 | 
			
		||||
    memset(mem, -1, sizeof(mem));
 | 
			
		||||
    int **mem = malloc((n + 1) * sizeof(int *));
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        mem[i] = malloc((cap + 1) * sizeof(int));
 | 
			
		||||
        memset(mem[i], -1, (cap + 1) * sizeof(int));
 | 
			
		||||
    }
 | 
			
		||||
    res = knapsackDFSMem(wgt, val, cap + 1, mem, n, cap);
 | 
			
		||||
    printf("不超过背包容量的最大物品价值为 %d\n", res);
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        free(mem[i]);
 | 
			
		||||
    }
 | 
			
		||||
    free(mem);
 | 
			
		||||
 | 
			
		||||
    // 动态规划
 | 
			
		||||
    res = knapsackDP(wgt, val, cap, wgtSize);
 | 
			
		||||
 | 
			
		||||
@ -7,7 +7,7 @@
 | 
			
		||||
#include "../utils/common.h"
 | 
			
		||||
 | 
			
		||||
/* 求最小值 */
 | 
			
		||||
int min(int a, int b) {
 | 
			
		||||
int myMin(int a, int b) {
 | 
			
		||||
    return a < b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
@ -17,15 +17,18 @@ int minCostClimbingStairsDP(int cost[], int costSize) {
 | 
			
		||||
    if (n == 1 || n == 2)
 | 
			
		||||
        return cost[n];
 | 
			
		||||
    // 初始化 dp 表,用于存储子问题的解
 | 
			
		||||
    int dp[n + 1];
 | 
			
		||||
    int *dp = calloc(n + 1, sizeof(int));
 | 
			
		||||
    // 初始状态:预设最小子问题的解
 | 
			
		||||
    dp[1] = cost[1];
 | 
			
		||||
    dp[2] = cost[2];
 | 
			
		||||
    // 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] = min(dp[i - 1], dp[i - 2]) + cost[i];
 | 
			
		||||
        dp[i] = myMin(dp[i - 1], dp[i - 2]) + cost[i];
 | 
			
		||||
    }
 | 
			
		||||
    return dp[n];
 | 
			
		||||
    int res = dp[n];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    free(dp);
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 爬楼梯最小代价:空间优化后的动态规划 */
 | 
			
		||||
@ -36,7 +39,7 @@ int minCostClimbingStairsDPComp(int cost[], int costSize) {
 | 
			
		||||
    int a = cost[1], b = cost[2];
 | 
			
		||||
    for (int i = 3; i <= n; i++) {
 | 
			
		||||
        int tmp = b;
 | 
			
		||||
        b = min(a, tmp) + cost[i];
 | 
			
		||||
        b = myMin(a, tmp) + cost[i];
 | 
			
		||||
        a = tmp;
 | 
			
		||||
    }
 | 
			
		||||
    return b;
 | 
			
		||||
@ -46,14 +49,8 @@ int minCostClimbingStairsDPComp(int cost[], int costSize) {
 | 
			
		||||
int main() {
 | 
			
		||||
    int cost[] = {0, 1, 10, 1, 1, 1, 10, 1, 1, 10, 1};
 | 
			
		||||
    int costSize = sizeof(cost) / sizeof(cost[0]);
 | 
			
		||||
    printf("输入楼梯的代价列表为 [");
 | 
			
		||||
    for (int i = 0; i < costSize; i++) {
 | 
			
		||||
        if (i != costSize - 1)
 | 
			
		||||
            printf("%d, ", cost[i]);
 | 
			
		||||
        else
 | 
			
		||||
            printf("%d", cost[i]);
 | 
			
		||||
    }
 | 
			
		||||
    printf("]\n");
 | 
			
		||||
    printf("输入楼梯的代价列表为:");
 | 
			
		||||
    printArray(cost, costSize);
 | 
			
		||||
 | 
			
		||||
    int res = minCostClimbingStairsDP(cost, costSize);
 | 
			
		||||
    printf("爬完楼梯的最低代价为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
@ -6,13 +6,16 @@
 | 
			
		||||
 | 
			
		||||
#include "../utils/common.h"
 | 
			
		||||
 | 
			
		||||
// 假设矩阵最大行列数为 100
 | 
			
		||||
#define MAX_SIZE 100
 | 
			
		||||
 | 
			
		||||
/* 求最小值 */
 | 
			
		||||
int min(int a, int b) {
 | 
			
		||||
int myMin(int a, int b) {
 | 
			
		||||
    return a < b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 最小路径和:暴力搜索 */
 | 
			
		||||
int minPathSumDFS(int gridCols, int grid[][gridCols], int i, int j) {
 | 
			
		||||
int minPathSumDFS(int grid[MAX_SIZE][MAX_SIZE], int i, int j) {
 | 
			
		||||
    // 若为左上角单元格,则终止搜索
 | 
			
		||||
    if (i == 0 && j == 0) {
 | 
			
		||||
        return grid[0][0];
 | 
			
		||||
@ -22,14 +25,14 @@ int minPathSumDFS(int gridCols, int grid[][gridCols], int i, int j) {
 | 
			
		||||
        return INT_MAX;
 | 
			
		||||
    }
 | 
			
		||||
    // 计算从左上角到 (i-1, j) 和 (i, j-1) 的最小路径代价
 | 
			
		||||
    int up = minPathSumDFS(gridCols, grid, i - 1, j);
 | 
			
		||||
    int left = minPathSumDFS(gridCols, grid, i, j - 1);
 | 
			
		||||
    int up = minPathSumDFS(grid, i - 1, j);
 | 
			
		||||
    int left = minPathSumDFS(grid, i, j - 1);
 | 
			
		||||
    // 返回从左上角到 (i, j) 的最小路径代价
 | 
			
		||||
    return min(left, up) != INT_MAX ? min(left, up) + grid[i][j] : INT_MAX;
 | 
			
		||||
    return myMin(left, up) != INT_MAX ? myMin(left, up) + grid[i][j] : INT_MAX;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 最小路径和:记忆化搜索 */
 | 
			
		||||
int minPathSumDFSMem(int gridCols, int grid[][gridCols], int mem[][gridCols], int i, int j) {
 | 
			
		||||
int minPathSumDFSMem(int grid[MAX_SIZE][MAX_SIZE], int mem[MAX_SIZE][MAX_SIZE], int i, int j) {
 | 
			
		||||
    // 若为左上角单元格,则终止搜索
 | 
			
		||||
    if (i == 0 && j == 0) {
 | 
			
		||||
        return grid[0][0];
 | 
			
		||||
@ -43,17 +46,20 @@ int minPathSumDFSMem(int gridCols, int grid[][gridCols], int mem[][gridCols], in
 | 
			
		||||
        return mem[i][j];
 | 
			
		||||
    }
 | 
			
		||||
    // 左边和上边单元格的最小路径代价
 | 
			
		||||
    int up = minPathSumDFSMem(gridCols, grid, mem, i - 1, j);
 | 
			
		||||
    int left = minPathSumDFSMem(gridCols, grid, mem, i, j - 1);
 | 
			
		||||
    int up = minPathSumDFSMem(grid, mem, i - 1, j);
 | 
			
		||||
    int left = minPathSumDFSMem(grid, mem, i, j - 1);
 | 
			
		||||
    // 记录并返回左上角到 (i, j) 的最小路径代价
 | 
			
		||||
    mem[i][j] = min(left, up) != INT_MAX ? min(left, up) + grid[i][j] : INT_MAX;
 | 
			
		||||
    mem[i][j] = myMin(left, up) != INT_MAX ? myMin(left, up) + grid[i][j] : INT_MAX;
 | 
			
		||||
    return mem[i][j];
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 最小路径和:动态规划 */
 | 
			
		||||
int minPathSumDP(int gridCols, int grid[][gridCols], int n, int m) {
 | 
			
		||||
int minPathSumDP(int grid[MAX_SIZE][MAX_SIZE], int n, int m) {
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[n][m];
 | 
			
		||||
    int **dp = malloc(n * sizeof(int *));
 | 
			
		||||
    for (int i = 0; i < n; i++) {
 | 
			
		||||
        dp[i] = calloc(m, sizeof(int));
 | 
			
		||||
    }
 | 
			
		||||
    dp[0][0] = grid[0][0];
 | 
			
		||||
    // 状态转移:首行
 | 
			
		||||
    for (int j = 1; j < m; j++) {
 | 
			
		||||
@ -66,16 +72,21 @@ int minPathSumDP(int gridCols, int grid[][gridCols], int n, int m) {
 | 
			
		||||
    // 状态转移:其余行列
 | 
			
		||||
    for (int i = 1; i < n; i++) {
 | 
			
		||||
        for (int j = 1; j < m; j++) {
 | 
			
		||||
            dp[i][j] = min(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
 | 
			
		||||
            dp[i][j] = myMin(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[n - 1][m - 1];
 | 
			
		||||
    int res = dp[n - 1][m - 1];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    for (int i = 0; i < n; i++) {
 | 
			
		||||
        free(dp[i]);
 | 
			
		||||
    }
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 最小路径和:空间优化后的动态规划 */
 | 
			
		||||
int minPathSumDPComp(int gridCols, int grid[][gridCols], int n, int m) {
 | 
			
		||||
int minPathSumDPComp(int grid[MAX_SIZE][MAX_SIZE], int n, int m) {
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[m];
 | 
			
		||||
    int *dp = calloc(m, sizeof(int));
 | 
			
		||||
    // 状态转移:首行
 | 
			
		||||
    dp[0] = grid[0][0];
 | 
			
		||||
    for (int j = 1; j < m; j++) {
 | 
			
		||||
@ -87,33 +98,36 @@ int minPathSumDPComp(int gridCols, int grid[][gridCols], int n, int m) {
 | 
			
		||||
        dp[0] = dp[0] + grid[i][0];
 | 
			
		||||
        // 状态转移:其余列
 | 
			
		||||
        for (int j = 1; j < m; j++) {
 | 
			
		||||
            dp[j] = min(dp[j - 1], dp[j]) + grid[i][j];
 | 
			
		||||
            dp[j] = myMin(dp[j - 1], dp[j]) + grid[i][j];
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[m - 1];
 | 
			
		||||
    int res = dp[m - 1];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    free(dp);
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
int main() {
 | 
			
		||||
    int grid[][4] = {{1, 3, 1, 5}, {2, 2, 4, 2}, {5, 3, 2, 1}, {4, 3, 5, 2}};
 | 
			
		||||
    int n = sizeof(grid) / sizeof(grid[0]), m = sizeof(grid[0]) / sizeof(grid[0][0]);
 | 
			
		||||
    int grid[MAX_SIZE][MAX_SIZE] = {{1, 3, 1, 5}, {2, 2, 4, 2}, {5, 3, 2, 1}, {4, 3, 5, 2}};
 | 
			
		||||
    int n = 4, m = 4; // 矩阵容量为 MAX_SIZE * MAX_SIZE ,有效行列数为 n * m
 | 
			
		||||
 | 
			
		||||
    // 暴力搜索
 | 
			
		||||
    int res = minPathSumDFS(m, grid, n - 1, m - 1);
 | 
			
		||||
    int res = minPathSumDFS(grid, n - 1, m - 1);
 | 
			
		||||
    printf("从左上角到右下角的最小路径和为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
    // 记忆化搜索
 | 
			
		||||
    int mem[n][m];
 | 
			
		||||
    int mem[MAX_SIZE][MAX_SIZE];
 | 
			
		||||
    memset(mem, -1, sizeof(mem));
 | 
			
		||||
    res = minPathSumDFSMem(m, grid, mem, n - 1, m - 1);
 | 
			
		||||
    res = minPathSumDFSMem(grid, mem, n - 1, m - 1);
 | 
			
		||||
    printf("从左上角到右下角的最小路径和为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
    // 动态规划
 | 
			
		||||
    res = minPathSumDP(m, grid, n, m);
 | 
			
		||||
    res = minPathSumDP(grid, n, m);
 | 
			
		||||
    printf("从左上角到右下角的最小路径和为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
    // 空间优化后的动态规划
 | 
			
		||||
    res = minPathSumDPComp(m, grid, n, m);
 | 
			
		||||
    res = minPathSumDPComp(grid, n, m);
 | 
			
		||||
    printf("从左上角到右下角的最小路径和为 %d\n", res);
 | 
			
		||||
 | 
			
		||||
    return 0;
 | 
			
		||||
 | 
			
		||||
@ -7,7 +7,7 @@
 | 
			
		||||
#include "../utils/common.h"
 | 
			
		||||
 | 
			
		||||
/* 求最大值 */
 | 
			
		||||
int max(int a, int b) {
 | 
			
		||||
int myMax(int a, int b) {
 | 
			
		||||
    return a > b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
@ -15,8 +15,10 @@ int max(int a, int b) {
 | 
			
		||||
int unboundedKnapsackDP(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
    int n = wgtSize;
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[n + 1][cap + 1];
 | 
			
		||||
    memset(dp, 0, sizeof(dp));
 | 
			
		||||
    int **dp = malloc((n + 1) * sizeof(int *));
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        dp[i] = calloc(cap + 1, sizeof(int));
 | 
			
		||||
    }
 | 
			
		||||
    // 状态转移
 | 
			
		||||
    for (int i = 1; i <= n; i++) {
 | 
			
		||||
        for (int c = 1; c <= cap; c++) {
 | 
			
		||||
@ -25,19 +27,23 @@ int unboundedKnapsackDP(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
                dp[i][c] = dp[i - 1][c];
 | 
			
		||||
            } else {
 | 
			
		||||
                // 不选和选物品 i 这两种方案的较大值
 | 
			
		||||
                dp[i][c] = max(dp[i - 1][c], dp[i][c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
                dp[i][c] = myMax(dp[i - 1][c], dp[i][c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[n][cap];
 | 
			
		||||
    int res = dp[n][cap];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    for (int i = 0; i <= n; i++) {
 | 
			
		||||
        free(dp[i]);
 | 
			
		||||
    }
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 完全背包:空间优化后的动态规划 */
 | 
			
		||||
int unboundedKnapsackDPComp(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
    int n = wgtSize;
 | 
			
		||||
    // 初始化 dp 表
 | 
			
		||||
    int dp[cap + 1];
 | 
			
		||||
    memset(dp, 0, sizeof(dp));
 | 
			
		||||
    int *dp = calloc(cap + 1, sizeof(int));
 | 
			
		||||
    // 状态转移
 | 
			
		||||
    for (int i = 1; i <= n; i++) {
 | 
			
		||||
        for (int c = 1; c <= cap; c++) {
 | 
			
		||||
@ -46,11 +52,14 @@ int unboundedKnapsackDPComp(int wgt[], int val[], int cap, int wgtSize) {
 | 
			
		||||
                dp[c] = dp[c];
 | 
			
		||||
            } else {
 | 
			
		||||
                // 不选和选物品 i 这两种方案的较大值
 | 
			
		||||
                dp[c] = max(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
                dp[c] = myMax(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
    return dp[cap];
 | 
			
		||||
    int res = dp[cap];
 | 
			
		||||
    // 释放内存
 | 
			
		||||
    free(dp);
 | 
			
		||||
    return res;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver code */
 | 
			
		||||
 | 
			
		||||
@ -2,4 +2,7 @@ add_executable(coin_change_greedy coin_change_greedy.c)
 | 
			
		||||
add_executable(fractional_knapsack fractional_knapsack.c)
 | 
			
		||||
add_executable(max_capacity max_capacity.c)
 | 
			
		||||
add_executable(max_product_cutting max_product_cutting.c)
 | 
			
		||||
target_link_libraries(max_product_cutting m)
 | 
			
		||||
 | 
			
		||||
if (NOT CMAKE_C_COMPILER_ID STREQUAL "MSVC")
 | 
			
		||||
    target_link_libraries(max_product_cutting m)
 | 
			
		||||
endif()
 | 
			
		||||
 | 
			
		||||
@ -6,8 +6,14 @@
 | 
			
		||||
 | 
			
		||||
#include "../utils/common.h"
 | 
			
		||||
 | 
			
		||||
#define MIN(a, b) (a < b ? a : b)
 | 
			
		||||
#define MAX(a, b) (a > b ? a : b)
 | 
			
		||||
/* 求最小值 */
 | 
			
		||||
int myMin(int a, int b) {
 | 
			
		||||
    return a < b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
/* 求最大值 */
 | 
			
		||||
int myMax(int a, int b) {
 | 
			
		||||
    return a < b ? a : b;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 最大容量:贪心 */
 | 
			
		||||
int maxCapacity(int ht[], int htLength) {
 | 
			
		||||
@ -19,8 +25,8 @@ int maxCapacity(int ht[], int htLength) {
 | 
			
		||||
    // 循环贪心选择,直至两板相遇
 | 
			
		||||
    while (i < j) {
 | 
			
		||||
        // 更新最大容量
 | 
			
		||||
        int capacity = MIN(ht[i], ht[j]) * (j - i);
 | 
			
		||||
        res = MAX(res, capacity);
 | 
			
		||||
        int capacity = myMin(ht[i], ht[j]) * (j - i);
 | 
			
		||||
        res = myMax(res, capacity);
 | 
			
		||||
        // 向内移动短板
 | 
			
		||||
        if (ht[i] < ht[j]) {
 | 
			
		||||
            i++;
 | 
			
		||||
 | 
			
		||||
@ -38,7 +38,7 @@ int *getMinHeap(MaxHeap *maxHeap) {
 | 
			
		||||
int *topKHeap(int *nums, int sizeNums, int k) {
 | 
			
		||||
    // 初始化小顶堆
 | 
			
		||||
    // 请注意:我们将堆中所有元素取反,从而用大顶堆来模拟小顶堆
 | 
			
		||||
    int empty[0];
 | 
			
		||||
    int *empty = (int *)malloc(0);
 | 
			
		||||
    MaxHeap *maxHeap = newMaxHeap(empty, 0);
 | 
			
		||||
    // 将数组的前 k 个元素入堆
 | 
			
		||||
    for (int i = 0; i < k; i++) {
 | 
			
		||||
 | 
			
		||||
@ -111,16 +111,6 @@ int popLast(ArrayDeque *deque) {
 | 
			
		||||
    return num;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 打印队列 */
 | 
			
		||||
void printArrayDeque(ArrayDeque *deque) {
 | 
			
		||||
    int arr[deque->queSize];
 | 
			
		||||
    // 拷贝
 | 
			
		||||
    for (int i = 0, j = deque->front; i < deque->queSize; i++, j++) {
 | 
			
		||||
        arr[i] = deque->nums[j % deque->queCapacity];
 | 
			
		||||
    }
 | 
			
		||||
    printArray(arr, deque->queSize);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
int main() {
 | 
			
		||||
    /* 初始化队列 */
 | 
			
		||||
@ -130,7 +120,7 @@ int main() {
 | 
			
		||||
    pushLast(deque, 2);
 | 
			
		||||
    pushLast(deque, 5);
 | 
			
		||||
    printf("双向队列 deque = ");
 | 
			
		||||
    printArrayDeque(deque);
 | 
			
		||||
    printArray(deque->nums, deque->queSize);
 | 
			
		||||
 | 
			
		||||
    /* 访问元素 */
 | 
			
		||||
    int peekFirstNum = peekFirst(deque);
 | 
			
		||||
@ -141,18 +131,18 @@ int main() {
 | 
			
		||||
    /* 元素入队 */
 | 
			
		||||
    pushLast(deque, 4);
 | 
			
		||||
    printf("元素 4 队尾入队后 deque = ");
 | 
			
		||||
    printArrayDeque(deque);
 | 
			
		||||
    printArray(deque->nums, deque->queSize);
 | 
			
		||||
    pushFirst(deque, 1);
 | 
			
		||||
    printf("元素 1 队首入队后 deque = ");
 | 
			
		||||
    printArrayDeque(deque);
 | 
			
		||||
    printArray(deque->nums, deque->queSize);
 | 
			
		||||
 | 
			
		||||
    /* 元素出队 */
 | 
			
		||||
    int popLastNum = popLast(deque);
 | 
			
		||||
    printf("队尾出队元素 = %d ,队尾出队后 deque= ", popLastNum);
 | 
			
		||||
    printArrayDeque(deque);
 | 
			
		||||
    printArray(deque->nums, deque->queSize);
 | 
			
		||||
    int popFirstNum = popFirst(deque);
 | 
			
		||||
    printf("队首出队元素 = %d ,队首出队后 deque= ", popFirstNum);
 | 
			
		||||
    printArrayDeque(deque);
 | 
			
		||||
    printArray(deque->nums, deque->queSize);
 | 
			
		||||
 | 
			
		||||
    /* 获取队列的长度 */
 | 
			
		||||
    int dequeSize = size(deque);
 | 
			
		||||
 | 
			
		||||
@ -73,16 +73,6 @@ void pop(ArrayQueue *queue) {
 | 
			
		||||
    queue->queSize--;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* 打印队列 */
 | 
			
		||||
void printArrayQueue(ArrayQueue *queue) {
 | 
			
		||||
    int arr[queue->queSize];
 | 
			
		||||
    // 拷贝
 | 
			
		||||
    for (int i = 0, j = queue->front; i < queue->queSize; i++, j++) {
 | 
			
		||||
        arr[i] = queue->nums[j % queue->queCapacity];
 | 
			
		||||
    }
 | 
			
		||||
    printArray(arr, queue->queSize);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
int main() {
 | 
			
		||||
    /* 初始化队列 */
 | 
			
		||||
@ -96,7 +86,7 @@ int main() {
 | 
			
		||||
    push(queue, 5);
 | 
			
		||||
    push(queue, 4);
 | 
			
		||||
    printf("队列 queue = ");
 | 
			
		||||
    printArrayQueue(queue);
 | 
			
		||||
    printArray(queue->nums, queue->queSize);
 | 
			
		||||
 | 
			
		||||
    /* 访问队首元素 */
 | 
			
		||||
    int peekNum = peek(queue);
 | 
			
		||||
@ -105,7 +95,7 @@ int main() {
 | 
			
		||||
    /* 元素出队 */
 | 
			
		||||
    pop(queue);
 | 
			
		||||
    printf("出队元素 pop = %d ,出队后 queue = ", peekNum);
 | 
			
		||||
    printArrayQueue(queue);
 | 
			
		||||
    printArray(queue->nums, queue->queSize);
 | 
			
		||||
 | 
			
		||||
    /* 获取队列的长度 */
 | 
			
		||||
    int queueSize = size(queue);
 | 
			
		||||
@ -120,7 +110,7 @@ int main() {
 | 
			
		||||
        push(queue, i);
 | 
			
		||||
        pop(queue);
 | 
			
		||||
        printf("第 %d 轮入队 + 出队后 queue = ", i);
 | 
			
		||||
        printArrayQueue(queue);
 | 
			
		||||
        printArray(queue->nums, queue->queSize);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    // 释放内存
 | 
			
		||||
 | 
			
		||||
@ -153,7 +153,7 @@ int popLast(LinkedListDeque *deque) {
 | 
			
		||||
 | 
			
		||||
/* 打印队列 */
 | 
			
		||||
void printLinkedListDeque(LinkedListDeque *deque) {
 | 
			
		||||
    int arr[deque->queSize];
 | 
			
		||||
    int *arr = malloc(sizeof(int) * deque->queSize);
 | 
			
		||||
    // 拷贝链表中的数据到数组
 | 
			
		||||
    int i;
 | 
			
		||||
    DoublyListNode *node;
 | 
			
		||||
@ -162,6 +162,7 @@ void printLinkedListDeque(LinkedListDeque *deque) {
 | 
			
		||||
        node = node->next;
 | 
			
		||||
    }
 | 
			
		||||
    printArray(arr, deque->queSize);
 | 
			
		||||
    free(arr);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
 | 
			
		||||
@ -77,7 +77,7 @@ void pop(LinkedListQueue *queue) {
 | 
			
		||||
 | 
			
		||||
/* 打印队列 */
 | 
			
		||||
void printLinkedListQueue(LinkedListQueue *queue) {
 | 
			
		||||
    int arr[queue->queSize];
 | 
			
		||||
    int *arr = malloc(sizeof(int) * queue->queSize);
 | 
			
		||||
    // 拷贝链表中的数据到数组
 | 
			
		||||
    int i;
 | 
			
		||||
    ListNode *node;
 | 
			
		||||
@ -86,6 +86,7 @@ void printLinkedListQueue(LinkedListQueue *queue) {
 | 
			
		||||
        node = node->next;
 | 
			
		||||
    }
 | 
			
		||||
    printArray(arr, queue->queSize);
 | 
			
		||||
    free(arr);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Driver Code */
 | 
			
		||||
 | 
			
		||||
@ -19,49 +19,33 @@ extern "C" {
 | 
			
		||||
#endif
 | 
			
		||||
 | 
			
		||||
/* Print an Array */
 | 
			
		||||
static void printArray(int arr[], int size) {
 | 
			
		||||
    printf("[");
 | 
			
		||||
    if (arr != NULL && size != 0) {
 | 
			
		||||
        for (int i = 0; i < size - 1; i++) {
 | 
			
		||||
            if (arr[i] != INT_MAX) {
 | 
			
		||||
                printf("%d, ", arr[i]);
 | 
			
		||||
            } else {
 | 
			
		||||
                printf("NULL, ");
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
        if (arr[size - 1] != INT_MAX) {
 | 
			
		||||
            printf("%d]\n", arr[size - 1]);
 | 
			
		||||
        } else {
 | 
			
		||||
            printf("NULL]\n");
 | 
			
		||||
        }
 | 
			
		||||
    } else {
 | 
			
		||||
        printf("]\n");
 | 
			
		||||
void printArray(int arr[], int size) {
 | 
			
		||||
    if (arr == NULL || size == 0) {
 | 
			
		||||
        printf("[]");
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
    printf("[");
 | 
			
		||||
    for (int i = 0; i < size - 1; i++) {
 | 
			
		||||
        printf("%d, ", arr[i]);
 | 
			
		||||
    }
 | 
			
		||||
    printf("%d]\n", arr[size - 1]);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Print an Array */
 | 
			
		||||
static void printArrayFloat(float arr[], int size) {
 | 
			
		||||
    printf("[");
 | 
			
		||||
    if (arr != NULL && size != 0) {
 | 
			
		||||
        for (int i = 0; i < size - 1; i++) {
 | 
			
		||||
            if (arr[i] != INT_MAX) {
 | 
			
		||||
                printf("%.2f, ", arr[i]);
 | 
			
		||||
            } else {
 | 
			
		||||
                printf("NULL, ");
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
        if (arr[size - 1] != INT_MAX) {
 | 
			
		||||
            printf("%.2f]\n", arr[size - 1]);
 | 
			
		||||
        } else {
 | 
			
		||||
            printf("NULL]\n");
 | 
			
		||||
        }
 | 
			
		||||
    } else {
 | 
			
		||||
        printf("]");
 | 
			
		||||
void printArrayFloat(float arr[], int size) {
 | 
			
		||||
    if (arr == NULL || size == 0) {
 | 
			
		||||
        printf("[]");
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
    printf("[");
 | 
			
		||||
    for (int i = 0; i < size - 1; i++) {
 | 
			
		||||
        printf("%.2f, ", arr[i]);
 | 
			
		||||
    }
 | 
			
		||||
    printf("%.2f]\n", arr[size - 1]);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Print a linked list */
 | 
			
		||||
static void printLinkedList(ListNode *node) {
 | 
			
		||||
void printLinkedList(ListNode *node) {
 | 
			
		||||
    if (node == NULL) {
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
@ -95,7 +79,7 @@ void showTrunks(Trunk *trunk) {
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Help to print a binary tree, hide more details */
 | 
			
		||||
static void printTreeHelper(TreeNode *node, Trunk *prev, bool isRight) {
 | 
			
		||||
void printTreeHelper(TreeNode *node, Trunk *prev, bool isRight) {
 | 
			
		||||
    if (node == NULL) {
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
@ -123,12 +107,12 @@ static void printTreeHelper(TreeNode *node, Trunk *prev, bool isRight) {
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Print a binary tree */
 | 
			
		||||
static void printTree(TreeNode *root) {
 | 
			
		||||
void printTree(TreeNode *root) {
 | 
			
		||||
    printTreeHelper(root, NULL, false);
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
/* Print a Heap */
 | 
			
		||||
static void printHeap(int arr[], int size) {
 | 
			
		||||
void printHeap(int arr[], int size) {
 | 
			
		||||
    TreeNode *root;
 | 
			
		||||
    printf("堆的数组表示:");
 | 
			
		||||
    printArray(arr, size);
 | 
			
		||||
 | 
			
		||||
@ -9,7 +9,7 @@
 | 
			
		||||
vector<TreeNode *> res;
 | 
			
		||||
 | 
			
		||||
/* 前序遍历:例题一 */
 | 
			
		||||
static void preOrder(TreeNode *root) {
 | 
			
		||||
void preOrder(TreeNode *root) {
 | 
			
		||||
    if (root == nullptr) {
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
@ -10,7 +10,7 @@ vector<TreeNode *> path;
 | 
			
		||||
vector<vector<TreeNode *>> res;
 | 
			
		||||
 | 
			
		||||
/* 前序遍历:例题二 */
 | 
			
		||||
static void preOrder(TreeNode *root) {
 | 
			
		||||
void preOrder(TreeNode *root) {
 | 
			
		||||
    if (root == nullptr) {
 | 
			
		||||
        return;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
		Reference in New Issue
	
	Block a user