refactor: Replace vector with array in C code (#894)

* Re-implement merge sort function.

* Replace vector with array for C.

* fix

codes/c/chapter_backtracking/preorder_traversal_i_compact.c

@@ -6,22 +6,20 @@
 
 #include "../utils/common.h"
 
-vector *res;
+// 假设结果长度不超过 100
+#define MAX_SIZE 100
 
-// 打印向量中的元素
+TreeNode *res[MAX_SIZE];
-void printFunc(vector *v, void *p) {
+int resSize = 0;
-    TreeNode *node = p;
-    printf("%d ", node->val);
-}
 
 /* 前序遍历：例题一 */
-void preOrder(TreeNode *root) {
+static void preOrder(TreeNode *root) {
     if (root == NULL) {
         return;
     }
     if (root->val == 7) {
         // 记录解
-        vectorPushback(res, root, sizeof(int));
+        res[resSize++] = root;
     }
     preOrder(root->left);
     preOrder(root->right);
@@ -30,15 +28,21 @@ void preOrder(TreeNode *root) {
 /* Driver Code */
 int main() {
     int arr[] = {1, 7, 3, 4, 5, 6, 7};
-    res = newVector();
+    TreeNode *root = arrayToTree(arr, sizeof(arr) / sizeof(arr[0]));
-    TreeNode *root = arrToTree(arr, sizeof(arr) / sizeof(arr[0]));
+    printf("\n初始化二叉树\n");
-    printf("\n初始化二叉树\r\n");
     printTree(root);
 
     // 前序遍历
     preOrder(root);
 
-    printf("\n输出所有值为 7 的节点\r\n");
+    printf("\n输出所有值为 7 的节点\n");
-    printVector(res, printFunc);
+    int vals[resSize];
-    delVector(res);
+    for (int i = 0; i < resSize; i++) {
+        vals[i] = res[i]->val;
+    }
+    printArray(vals, resSize);
+
+    // 释放内存
+    freeMemoryTree(root);
+    return 0;
 }

codes/c/chapter_backtracking/preorder_traversal_ii_compact.c

@@ -6,62 +6,55 @@
 
 #include "../utils/common.h"
 
+// 假设路径和结果长度不超过 100
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+TreeNode *path[MAX_SIZE];
+TreeNode *res[MAX_RES_SIZE][MAX_SIZE];
+int pathSize = 0, resSize = 0;
+
 /* 前序遍历：例题二 */
-void preOrder(TreeNode *root, vector *path, vector *res) {
+static void preOrder(TreeNode *root) {
     if (root == NULL) {
         return;
     }
     // 尝试
-    vectorPushback(path, root, sizeof(TreeNode));
+    path[pathSize++] = root;
     if (root->val == 7) {
         // 记录解
-        vector *newPath = newVector();
+        for (int i = 0; i < pathSize; ++i) {
-        for (int i = 0; i < path->size; i++) {
+            res[resSize][i] = path[i];
-            vectorPushback(newPath, path->data[i], sizeof(int));
         }
-        vectorPushback(res, newPath, sizeof(vector));
+        resSize++;
     }
-
+    preOrder(root->left);
-    preOrder(root->left, path, res);
+    preOrder(root->right);
-    preOrder(root->right, path, res);
-
     // 回退
-    vectorPopback(path);
+    pathSize--;
-}
-
-// 打印向量中的元素
-void printResult(vector *vv) {
-    for (int i = 0; i < vv->size; i++) {
-        vector *v = (vector *)vv->data[i];
-        for (int j = 0; j < v->size; j++) {
-            TreeNode *node = (TreeNode *)v->data[j];
-            printf("%d ", node->val);
-        }
-        printf("\n");
-    }
 }
 
 /* Driver Code */
 int main() {
     int arr[] = {1, 7, 3, 4, 5, 6, 7};
-    int n = sizeof(arr) / sizeof(arr[0]);
+    TreeNode *root = arrayToTree(arr, sizeof(arr) / sizeof(arr[0]));
-    TreeNode *root = arrToTree(arr, n);
+    printf("\n初始化二叉树\n");
-    printf("\r\n初始化二叉树\r\n");
     printTree(root);
 
-    // 创建存储路径和结果的向量
-    vector *path = newVector();
-    vector *res = newVector();
-
     // 前序遍历
-    preOrder(root, path, res);
+    preOrder(root);
 
-    // 输出结果
+    printf("\n输出所有根节点到节点 7 的路径\n");
-    printf("输出所有根节点到节点 7 的路径:\n");
+    for (int i = 0; i < resSize; ++i) {
-    printResult(res);
+        int vals[MAX_SIZE];
+        int size = 0;
+        for (int j = 0; res[i][j] != NULL; ++j) {
+            vals[size++] = res[i][j]->val;
+        }
+        printArray(vals, size);
+    }
 
     // 释放内存
-    delVector(path);
+    freeMemoryTree(root);
-    delVector(res);
     return 0;
 }

codes/c/chapter_backtracking/preorder_traversal_iii_compact.c

@@ -6,64 +6,56 @@
 
 #include "../utils/common.h"
 
+// 假设路径和结果长度不超过 100
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+TreeNode *path[MAX_SIZE];
+TreeNode *res[MAX_RES_SIZE][MAX_SIZE];
+int pathSize = 0, resSize = 0;
+
 /* 前序遍历：例题三 */
-void preOrder(TreeNode *root, vector *path, vector *res) {
+void preOrder(TreeNode *root) {
     // 剪枝
     if (root == NULL || root->val == 3) {
         return;
     }
     // 尝试
-    vectorPushback(path, root, sizeof(TreeNode));
+    path[pathSize++] = root;
     if (root->val == 7) {
         // 记录解
-        vector *newPath = newVector();
+        for (int i = 0; i < pathSize; i++) {
-        for (int i = 0; i < path->size; i++) {
+            res[resSize][i] = path[i];
-            vectorPushback(newPath, path->data[i], sizeof(int));
         }
-        vectorPushback(res, newPath, sizeof(vector));
+        resSize++;
-        res->depth++;
     }
-
+    preOrder(root->left);
-    preOrder(root->left, path, res);
+    preOrder(root->right);
-    preOrder(root->right, path, res);
-
     // 回退
-    vectorPopback(path);
+    pathSize--;
-}
-
-// 打印向量中的元素
-void printResult(vector *vv) {
-    for (int i = 0; i < vv->size; i++) {
-        vector *v = (vector *)vv->data[i];
-        for (int j = 0; j < v->size; j++) {
-            TreeNode *node = (TreeNode *)v->data[j];
-            printf("%d ", node->val);
-        }
-        printf("\n");
-    }
 }
 
 /* Driver Code */
 int main() {
     int arr[] = {1, 7, 3, 4, 5, 6, 7};
-    int n = sizeof(arr) / sizeof(arr[0]);
+    TreeNode *root = arrayToTree(arr, sizeof(arr) / sizeof(arr[0]));
-    TreeNode *root = arrToTree(arr, n);
+    printf("\n初始化二叉树\n");
-    printf("\r\n初始化二叉树\r\n");
     printTree(root);
 
-    // 创建存储路径和结果的向量
-    vector *path = newVector();
-    vector *res = newVector();
-
     // 前序遍历
-    preOrder(root, path, res);
+    preOrder(root);
 
-    // 输出结果
+    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");
-    printf("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");
+    for (int i = 0; i < resSize; ++i) {
-    printResult(res);
+        int vals[MAX_SIZE];
+        int size = 0;
+        for (int j = 0; res[i][j] != NULL; ++j) {
+            vals[size++] = res[i][j]->val;
+        }
+        printArray(vals, size);
+    }
 
     // 释放内存
-    delVector(path);
+    freeMemoryTree(root);
-    delVector(res);
     return 0;
 }

codes/c/chapter_backtracking/preorder_traversal_iii_template.c

@@ -6,96 +6,87 @@
 
 #include "../utils/common.h"
 
+// 假设路径和结果长度不超过 100
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+TreeNode *path[MAX_SIZE];
+TreeNode *res[MAX_RES_SIZE][MAX_SIZE];
+int pathSize = 0, resSize = 0;
+
 /* 判断当前状态是否为解 */
-bool isSolution(vector *state) {
+bool isSolution(void) {
-    return state->size != 0 && ((TreeNode *)(state->data[state->size - 1]))->val == 7;
+    return pathSize > 0 && path[pathSize - 1]->val == 7;
 }
 
 /* 记录解 */
-void recordSolution(vector *state, vector *res) {
+void recordSolution(void) {
-    vector *newPath = newVector();
+    for (int i = 0; i < pathSize; i++) {
-    for (int i = 0; i < state->size; i++) {
+        res[resSize][i] = path[i];
-        vectorPushback(newPath, state->data[i], sizeof(int));
     }
-    vectorPushback(res, newPath, sizeof(vector));
+    resSize++;
 }
 
 /* 判断在当前状态下，该选择是否合法 */
-bool isValid(vector *state, TreeNode *choice) {
+bool isValid(TreeNode *choice) {
     return choice != NULL && choice->val != 3;
 }
 
 /* 更新状态 */
-void makeChoice(vector *state, TreeNode *choice) {
+void makeChoice(TreeNode *choice) {
-    vectorPushback(state, choice, sizeof(TreeNode));
+    path[pathSize++] = choice;
 }
 
 /* 恢复状态 */
-void undoChoice(vector *state, TreeNode *choice) {
+void undoChoice(void) {
-    vectorPopback(state);
+    pathSize--;
 }
 
 /* 回溯算法：例题三 */
-void backtrack(vector *state, vector *choices, vector *res) {
+void backtrack(TreeNode *choices[2]) {
     // 检查是否为解
-    if (isSolution(state)) {
+    if (isSolution()) {
         // 记录解
-        recordSolution(state, res);
+        recordSolution();
-        return;
     }
     // 遍历所有选择
-    for (int i = 0; i < choices->size; i++) {
+    for (int i = 0; i < 2; i++) {
-        TreeNode *choice = choices->data[i];
+        TreeNode *choice = choices[i];
         // 剪枝：检查选择是否合法
-        if (isValid(state, choice)) {
+        if (isValid(choice)) {
             // 尝试：做出选择，更新状态
-            makeChoice(state, choice);
+            makeChoice(choice);
             // 进行下一轮选择
-            vector *nextChoices = newVector();
+            TreeNode *nextChoices[2] = {choice->left, choice->right};
-            vectorPushback(nextChoices, choice->left, sizeof(TreeNode));
+            backtrack(nextChoices);
-            vectorPushback(nextChoices, choice->right, sizeof(TreeNode));
-            backtrack(state, nextChoices, res);
             // 回退：撤销选择，恢复到之前的状态
-            undoChoice(state, choice);
+            undoChoice();
         }
     }
 }
 
-// 打印向量中的元素
-void printFunc(vector *v, void *p) {
-    TreeNode *node = p;
-    printf("%d ", node->val);
-}
-
 /* Driver Code */
 int main() {
     int arr[] = {1, 7, 3, 4, 5, 6, 7};
-    int n = sizeof(arr) / sizeof(arr[0]);
+    TreeNode *root = arrayToTree(arr, sizeof(arr) / sizeof(arr[0]));
-    TreeNode *root = arrToTree(arr, n);
+    printf("\n初始化二叉树\n");
-    printf("\r\n初始化二叉树\r\n");
     printTree(root);
 
     // 回溯算法
-    vector *state = newVector();
+    TreeNode *choices[2] = {root, NULL};
-    vector *choices = newVector();
+    backtrack(choices);
-    vector *res = newVector();
-    vectorPushback(choices, root, sizeof(TreeNode));
-    backtrack(state, choices, res);
 
-    printf("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");
+    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");
-    for (int i = 0; i < res->size; i++) {
+    for (int i = 0; i < resSize; ++i) {
-        vector *path = res->data[i];
+        int vals[MAX_SIZE];
-        vector *vals = newVector();
+        int size = 0;
-        for (int j = 0; j < path->size; j++) {
+        for (int j = 0; res[i][j] != NULL; ++j) {
-            TreeNode *node = path->data[j];
+            vals[size++] = res[i][j]->val;
-            vectorPushback(vals, &node->val, sizeof(int));
         }
-        printVector(vals, printFunc);
+        printArray(vals, size);
     }
 
     // 释放内存
-    delVector(state);
+    freeMemoryTree(root);
-    delVector(choices);
-    delVector(res);
     return 0;
 }

codes/c/chapter_backtracking/subset_sum_i.c

@@ -6,73 +6,73 @@
 
 #include "../utils/common.h"
 
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+// 状态（子集）
+int state[MAX_SIZE];
+int stateSize = 0;
+
+// 结果列表（子集列表）
+int res[MAX_RES_SIZE][MAX_SIZE];
+int resColSizes[MAX_RES_SIZE];
+int resSize = 0;
+
 /* 回溯算法：子集和 I */
-void backtrack(vector *state, int target, vector *choices, int start, vector *res) {
+void backtrack(int target, int *choices, int choicesSize, int start) {
     // 子集和等于 target 时，记录解
     if (target == 0) {
-        vector *tmpVector = newVector();
+        for (int i = 0; i < stateSize; ++i) {
-        for (int i = 0; i < state->size; i++) {
+            res[resSize][i] = state[i];
-            vectorPushback(tmpVector, state->data[i], sizeof(int));
         }
-        vectorPushback(res, tmpVector, sizeof(vector));
+        resColSizes[resSize++] = stateSize;
         return;
     }
     // 遍历所有选择
     // 剪枝二：从 start 开始遍历，避免生成重复子集
-    for (int i = start; i < choices->size; i++) {
+    for (int i = start; i < choicesSize; i++) {
-        // 剪枝：若子集和超过 target ，则跳过该选择
+        // 剪枝一：若子集和超过 target ，则直接结束循环
-        if (target - *(int *)(choices->data[i]) < 0) {
+        // 这是因为数组已排序，后边元素更大，子集和一定超过 target
+        if (target - choices[i] < 0) {
             break;
         }
         // 尝试：做出选择，更新 target, start
-        vectorPushback(state, choices->data[i], sizeof(int));
+        state[stateSize] = choices[i];
+        stateSize++;
         // 进行下一轮选择
-        backtrack(state, target - *(int *)(choices->data[i]), choices, i, res);
+        backtrack(target - choices[i], choices, choicesSize, i);
         // 回退：撤销选择，恢复到之前的状态
-        vectorPopback(state);
+        stateSize--;
     }
 }
 
-/* 用来做比较的函数 */
+/* 比较函数 */
-int comp(const void *a, const void *b) {
+int cmp(const void *a, const void *b) {
-    return *(int *)a - *(int *)b;
+    return (*(int *)a - *(int *)b);
 }
 
 /* 求解子集和 I */
-vector *subsetSumI(vector *nums, int target) {
+void subsetSumI(int *nums, int numsSize, int target) {
-    vector *state = newVector();                        // 状态（子集）
+    qsort(nums, numsSize, sizeof(int), cmp); // 对 nums 进行排序
-    qsort(nums->data, nums->size, sizeof(int *), comp); // 对 nums 进行排序
+    int start = 0;                           // 遍历起始点
-    int start = 0;                                      // 子集和
+    backtrack(target, nums, numsSize, start);
-    vector *res = newVector();                          // 结果列表（子集列表）
-    backtrack(state, target, nums, start, res);
-    return res;
-}
-
-/* 打印向量中的元素 */
-void printFunc(vector *v, void *p) {
-    int *node = p;
-    printf("%d", *node);
 }
 
 /* Driver Code */
 int main() {
     int nums[] = {3, 4, 5};
-    vector *iNums = newVector();
+    int numsSize = sizeof(nums) / sizeof(nums[0]);
-    for (int i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) {
-        vectorPushback(iNums, &nums[i], sizeof(int));
-    }
-
     int target = 9;
 
-    vector *res = subsetSumI(iNums, target);
+    subsetSumI(nums, numsSize, target);
 
     printf("输入数组 nums = ");
-    printVector(iNums, printFunc);
+    printArray(nums, numsSize);
     printf("target = %d\n", target);
-    printf("所有和等于 %d 的子集 res = \r\n", target);
+    printf("所有和等于 %d 的子集 res = \n", target);
-    printVectorMatrix(res, printFunc);
+    for (int i = 0; i < resSize; ++i) {
+        printArray(res[i], resColSizes[i]);
+    }
 
-    delVector(iNums);
-    delVector(res);
     return 0;
 }

codes/c/chapter_backtracking/subset_sum_i_naive.c

@@ -6,65 +6,64 @@
 
 #include "../utils/common.h"
 
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+// 状态（子集）
+int state[MAX_SIZE];
+int stateSize = 0;
+
+// 结果列表（子集列表）
+int res[MAX_RES_SIZE][MAX_SIZE];
+int resColSizes[MAX_RES_SIZE];
+int resSize = 0;
+
 /* 回溯算法：子集和 I */
-void backtrack(vector *state, int target, int total, vector *choices, vector *res) {
+void backtrack(int target, int total, int *choices, int choicesSize) {
     // 子集和等于 target 时，记录解
     if (total == target) {
-        vector *tmpVector = newVector();
+        for (int i = 0; i < stateSize; i++) {
-        for (int i = 0; i < state->size; i++) {
+            res[resSize][i] = state[i];
-            vectorPushback(tmpVector, state->data[i], sizeof(int));
         }
-        vectorPushback(res, tmpVector, sizeof(vector));
+        resColSizes[resSize++] = stateSize;
         return;
     }
     // 遍历所有选择
-    for (size_t i = 0; i < choices->size; i++) {
+    for (int i = 0; i < choicesSize; i++) {
         // 剪枝：若子集和超过 target ，则跳过该选择
-        if (total + *(int *)(choices->data[i]) > target) {
+        if (total + choices[i] > target) {
             continue;
         }
         // 尝试：做出选择，更新元素和 total
-        vectorPushback(state, choices->data[i], sizeof(int));
+        state[stateSize++] = choices[i];
         // 进行下一轮选择
-        backtrack(state, target, total + *(int *)(choices->data[i]), choices, res);
+        backtrack(target, total + choices[i], choices, choicesSize);
         // 回退：撤销选择，恢复到之前的状态
-        vectorPopback(state);
+        stateSize--;
     }
 }
 
 /* 求解子集和 I（包含重复子集） */
-vector *subsetSumINaive(vector *nums, int target) {
+void subsetSumINaive(int *nums, int numsSize, int target) {
-    vector *state = newVector(); // 状态（子集）
+    resSize = 0; // 初始化解的数量为0
-    int total = 0;               // 子集和
+    backtrack(target, 0, nums, numsSize);
-    vector *res = newVector();   // 结果列表（子集列表）
-    backtrack(state, target, total, nums, res);
-    return res;
-}
-
-/* 打印向量中的元素 */
-void printFunc(vector *v, void *p) {
-    int *node = p;
-    printf("%d", *node);
 }
 
 /* Driver Code */
 int main() {
     int nums[] = {3, 4, 5};
-    vector *iNums = newVector();
+    int numsSize = sizeof(nums) / sizeof(nums[0]);
-    for (int i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) {
-        vectorPushback(iNums, &nums[i], sizeof(int));
-    }
     int target = 9;
 
-    vector *res = subsetSumINaive(iNums, target);
+    subsetSumINaive(nums, numsSize, target);
 
     printf("输入数组 nums = ");
-    printVector(iNums, printFunc);
+    printArray(nums, numsSize);
     printf("target = %d\n", target);
-    printf("所有和等于 %d 的子集 res = \r\n", target);
+    printf("所有和等于 %d 的子集 res = \n", target);
-    printVectorMatrix(res, printFunc);
+    for (int i = 0; i < resSize; i++) {
+        printArray(res[i], resColSizes[i]);
+    }
 
-    delVector(iNums);
-    delVector(res);
     return 0;
 }

codes/c/chapter_backtracking/subset_sum_ii.c

@@ -6,78 +6,78 @@
 
 #include "../utils/common.h"
 
+#define MAX_SIZE 100
+#define MAX_RES_SIZE 100
+
+// 状态（子集）
+int state[MAX_SIZE];
+int stateSize = 0;
+
+// 结果列表（子集列表）
+int res[MAX_RES_SIZE][MAX_SIZE];
+int resColSizes[MAX_RES_SIZE];
+int resSize = 0;
+
 /* 回溯算法：子集和 II */
-void backtrack(vector *state, int target, vector *choices, int start, vector *res) {
+void backtrack(int target, int *choices, int choicesSize, int start) {
     // 子集和等于 target 时，记录解
     if (target == 0) {
-        vector *tmpVector = newVector();
+        for (int i = 0; i < stateSize; i++) {
-        for (int i = 0; i < state->size; i++) {
+            res[resSize][i] = state[i];
-            vectorPushback(tmpVector, state->data[i], sizeof(int));
         }
-        vectorPushback(res, tmpVector, sizeof(vector));
+        resColSizes[resSize++] = stateSize;
         return;
     }
     // 遍历所有选择
     // 剪枝二：从 start 开始遍历，避免生成重复子集
     // 剪枝三：从 start 开始遍历，避免重复选择同一元素
-    for (int i = start; i < choices->size; i++) {
+    for (int i = start; i < choicesSize; i++) {
-        // 剪枝一：若子集和超过 target ，则直接结束循环
+        // 剪枝一：若子集和超过 target ，则直接跳过
-        // 这是因为数组已排序，后边元素更大，子集和一定超过 target
+        if (target - choices[i] < 0) {
-        if (target - *(int *)(choices->data[i]) < 0) {
             continue;
         }
         // 剪枝四：如果该元素与左边元素相等，说明该搜索分支重复，直接跳过
-        if (i > start && *(int *)(choices->data[i]) == *(int *)(choices->data[i - 1])) {
+        if (i > start && choices[i] == choices[i - 1]) {
             continue;
         }
         // 尝试：做出选择，更新 target, start
-        vectorPushback(state, choices->data[i], sizeof(int));
+        state[stateSize] = choices[i];
+        stateSize++;
         // 进行下一轮选择
-        backtrack(state, target - *(int *)(choices->data[i]), choices, i + 1, res);
+        backtrack(target - choices[i], choices, choicesSize, i + 1);
         // 回退：撤销选择，恢复到之前的状态
-        vectorPopback(state);
+        stateSize--;
     }
 }
 
-/* 比较规则 */
+/* 比较函数 */
-int comp(const void *a, const void *b) {
+int cmp(const void *a, const void *b) {
-    return *(int *)a - *(int *)b;
+    return (*(int *)a - *(int *)b);
 }
 
 /* 求解子集和 II */
-vector *subsetSumII(vector *nums, int target) {
+void subsetSumII(int *nums, int numsSize, int target) {
-    vector *state = newVector();                        // 状态（子集）
+    // 对 nums 进行排序
-    qsort(nums->data, nums->size, sizeof(int *), comp); // 对 nums 进行排序
+    qsort(nums, numsSize, sizeof(int), cmp);
-    int start = 0;                                      // 子集和
+    // 开始回溯
-    vector *res = newVector();                          // 结果列表（子集列表）
+    backtrack(target, nums, numsSize, 0);
-    backtrack(state, target, nums, start, res);
-    return res;
-}
-
-/* 打印向量中的元素 */
-void printFunc(vector *v, void *p) {
-    int *node = p;
-    printf("%d", *node);
 }
 
 /* Driver Code */
 int main() {
     int nums[] = {4, 4, 5};
-    vector *iNums = newVector();
+    int numsSize = sizeof(nums) / sizeof(nums[0]);
-    for (int i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) {
-        vectorPushback(iNums, &nums[i], sizeof(int));
-    }
     int target = 9;
 
-    vector *res = subsetSumII(iNums, target);
+    subsetSumII(nums, numsSize, target);
 
     printf("输入数组 nums = ");
-    printVector(iNums, printFunc);
+    printArray(nums, numsSize);
     printf("target = %d\n", target);
-    printf("所有和等于 %d 的子集 res = \r\n", target);
+    printf("所有和等于 %d 的子集 res = \n", target);
-    printVectorMatrix(res, printFunc);
+    for (int i = 0; i < resSize; ++i) {
+        printArray(res[i], resColSizes[i]);
+    }
 
-    delVector(iNums);
-    delVector(res);
     return 0;
 }

codes/c/chapter_tree/array_binary_tree.c

@@ -6,21 +6,24 @@
 
 #include "../utils/common.h"
 
-/* 数组表示下的二叉树类 */
+/* 数组表示下的二叉树结构 */
 typedef struct {
-    vector *tree;
+    int *tree;
+    int size;
 } ArrayBinaryTree;
 
-/* 构造函数 */
+/* 构造方法 */
-ArrayBinaryTree *newArrayBinaryTree(vector *arr) {
+ArrayBinaryTree *createArrayBinaryTree(int *arr, int arrSize) {
-    ArrayBinaryTree *newABT = malloc(sizeof(ArrayBinaryTree));
+    ArrayBinaryTree *abt = (ArrayBinaryTree *)malloc(sizeof(ArrayBinaryTree));
-    newABT->tree = arr;
+    abt->tree = malloc(sizeof(int) * arrSize);
-    return newABT;
+    memcpy(abt->tree, arr, sizeof(int) * arrSize);
+    abt->size = arrSize;
+    return abt;
 }
 
 /* 节点数量 */
 int size(ArrayBinaryTree *abt) {
-    return abt->tree->size;
+    return abt->size;
 }
 
 /* 获取索引为 i 节点的值 */
@@ -28,7 +31,7 @@ int val(ArrayBinaryTree *abt, int i) {
     // 若索引越界，则返回 INT_MAX ，代表空位
     if (i < 0 || i >= size(abt))
         return INT_MAX;
-    return *(int *)abt->tree->data[i];
+    return abt->tree[i];
 }
 
 /* 获取索引为 i 节点的左子节点的索引 */
@@ -46,114 +49,114 @@ int parent(int i) {
     return (i - 1) / 2;
 }
 
+/* 层序遍历 */
+int *levelOrder(ArrayBinaryTree *abt, int *returnSize) {
+    int *res = (int *)malloc(sizeof(int) * size(abt));
+    int index = 0;
+    // 直接遍历数组
+    for (int i = 0; i < size(abt); i++) {
+        if (val(abt, i) != INT_MAX)
+            res[index++] = val(abt, i);
+    }
+    *returnSize = index;
+    return res;
+}
+
 /* 深度优先遍历 */
-void dfs(ArrayBinaryTree *abt, int i, const char *order, vector *res) {
+void dfs(ArrayBinaryTree *abt, int i, char *order, int *res, int *index) {
     // 若为空位，则返回
     if (val(abt, i) == INT_MAX)
         return;
     // 前序遍历
-    if (strcmp(order, "pre") == 0) {
+    if (strcmp(order, "pre") == 0)
-        int tmp = val(abt, i);
+        res[(*index)++] = val(abt, i);
-        vectorPushback(res, &tmp, sizeof(tmp));
+    dfs(abt, left(i), order, res, index);
-    }
-    dfs(abt, left(i), order, res);
     // 中序遍历
-    if (strcmp(order, "in") == 0) {
+    if (strcmp(order, "in") == 0)
-        int tmp = val(abt, i);
+        res[(*index)++] = val(abt, i);
-        vectorPushback(res, &tmp, sizeof(tmp));
+    dfs(abt, right(i), order, res, index);
-    }
-    dfs(abt, right(i), order, res);
     // 后序遍历
-    if (strcmp(order, "post") == 0) {
+    if (strcmp(order, "post") == 0)
-        int tmp = val(abt, i);
+        res[(*index)++] = val(abt, i);
-        vectorPushback(res, &tmp, sizeof(tmp));
-    }
-}
-
-/* 层序遍历 */
-vector *levelOrder(ArrayBinaryTree *abt) {
-    vector *res = newVector();
-    // 直接遍历数组
-    for (int i = 0; i < size(abt); i++) {
-        if (val(abt, i) != INT_MAX) {
-            int tmp = val(abt, i);
-            vectorPushback(res, &tmp, sizeof(int));
-        }
-    }
-    return res;
 }
 
 /* 前序遍历 */
-vector *preOrder(ArrayBinaryTree *abt) {
+int *preOrder(ArrayBinaryTree *abt, int *returnSize) {
-    vector *res = newVector();
+    int *res = (int *)malloc(sizeof(int) * size(abt));
-    dfs(abt, 0, "pre", res);
+    int index = 0;
+    dfs(abt, 0, "pre", res, &index);
+    *returnSize = index;
     return res;
 }
 
 /* 中序遍历 */
-vector *inOrder(ArrayBinaryTree *abt) {
+int *inOrder(ArrayBinaryTree *abt, int *returnSize) {
-    vector *res = newVector();
+    int *res = (int *)malloc(sizeof(int) * size(abt));
-    dfs(abt, 0, "in", res);
+    int index = 0;
+    dfs(abt, 0, "in", res, &index);
+    *returnSize = index;
     return res;
 }
 
 /* 后序遍历 */
-vector *postOrder(ArrayBinaryTree *abt) {
+int *postOrder(ArrayBinaryTree *abt, int *returnSize) {
-    vector *res = newVector();
+    int *res = (int *)malloc(sizeof(int) * size(abt));
-    dfs(abt, 0, "post", res);
+    int index = 0;
+    dfs(abt, 0, "post", res, &index);
+    *returnSize = index;
     return res;
 }
 
-/* 打印向量中的元素 */
-void printFunc(vector *v, void *p) {
-    int *val = p;
-    printf("%d", *val);
-}
-
 /* Driver Code */
 int main() {
     // 初始化二叉树
-    // 使用 INT_MAX 代表空位 nullptr
+    // 使用 INT_MAX 代表空位 NULL
     int arr[] = {1, 2, 3, 4, INT_MAX, 6, 7, 8, 9, INT_MAX, INT_MAX, 12, INT_MAX, INT_MAX, 15};
-    TreeNode *root = arrToTree(arr, sizeof(arr) / sizeof(arr[0]));
+    int arrSize = sizeof(arr) / sizeof(arr[0]);
+    TreeNode *root = arrayToTree(arr, arrSize);
     printf("\n初始化二叉树\n");
     printf("二叉树的数组表示：\n");
-    printArray(arr, sizeof(arr) / sizeof(arr[0]));
+    printArray(arr, arrSize);
     printf("二叉树的链表表示：\n");
     printTree(root);
 
-    vector *vArr = newVector();
+    ArrayBinaryTree *abt = createArrayBinaryTree(arr, arrSize);
-    for (int i = 0; i < sizeof(arr) / sizeof(arr[0]); i++) {
-        vectorPushback(vArr, &arr[i], sizeof(int));
-    }
-    // 数组表示下的二叉树类
-    ArrayBinaryTree *abt = newArrayBinaryTree(vArr);
 
     // 访问节点
     int i = 1;
     int l = left(i), r = right(i), p = parent(i);
-    printf("\n当前节点的索引为 %d ，值为 %d\n", i, val(abt, i));
+    printf("\n当前节点的索引为 %d，值为 %d\n", i, val(abt, i));
-    printf("其左子节点的索引为 %d ，值为 %d\r\n", l, val(abt, l));
+    printf("其左子节点的索引为 %d，值为 %d\n", l, l < arrSize ? val(abt, l) : INT_MAX);
-    printf("其右子节点的索引为 %d ，值为 %d\r\n", r, val(abt, r));
+    printf("其右子节点的索引为 %d，值为 %d\n", r, r < arrSize ? val(abt, r) : INT_MAX);
-    printf("其父节点的索引为 %d ，值为 %d\r\n", p, val(abt, p));
+    printf("其父节点的索引为 %d，值为 %d\n", p, p < arrSize ? val(abt, p) : INT_MAX);
 
     // 遍历树
-    vector *res = levelOrder(abt);
+    int returnSize;
+    int *res;
+
+    res = levelOrder(abt, &returnSize);
     printf("\n层序遍历为： ");
-    printVector(res, printFunc);
+    printArray(res, returnSize);
-    delVector(res);
+    free(res);
-    res = preOrder(abt);
+
+    res = preOrder(abt, &returnSize);
     printf("前序遍历为： ");
-    printVector(res, printFunc);
+    printArray(res, returnSize);
-    delVector(res);
+    free(res);
-    res = inOrder(abt);
+
+    res = inOrder(abt, &returnSize);
     printf("中序遍历为： ");
-    printVector(res, printFunc);
+    printArray(res, returnSize);
-    delVector(res);
+    free(res);
-    res = postOrder(abt);
+
+    res = postOrder(abt, &returnSize);
     printf("后序遍历为： ");
-    printVector(res, printFunc);
+    printArray(res, returnSize);
-    delVector(res);
+    free(res);
+
+    // 释放内存
+    free(root);
+    free(abt);
 
     return 0;
 }