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https://github.com/krahets/hello-algo.git
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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
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@@ -6,13 +6,16 @@
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#include "../utils/common.h"
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// 假设矩阵最大行列数为 100
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#define MAX_SIZE 100
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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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/* 最小路径和:暴力搜索 */
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int minPathSumDFS(int gridCols, int grid[][gridCols], int i, int j) {
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int minPathSumDFS(int grid[MAX_SIZE][MAX_SIZE], int i, int j) {
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// 若为左上角单元格,则终止搜索
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if (i == 0 && j == 0) {
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return grid[0][0];
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@@ -22,14 +25,14 @@ int minPathSumDFS(int gridCols, int grid[][gridCols], int i, int j) {
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return INT_MAX;
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}
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// 计算从左上角到 (i-1, j) 和 (i, j-1) 的最小路径代价
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int up = minPathSumDFS(gridCols, grid, i - 1, j);
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int left = minPathSumDFS(gridCols, grid, i, j - 1);
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int up = minPathSumDFS(grid, i - 1, j);
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int left = minPathSumDFS(grid, i, j - 1);
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// 返回从左上角到 (i, j) 的最小路径代价
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return min(left, up) != INT_MAX ? min(left, up) + grid[i][j] : INT_MAX;
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return myMin(left, up) != INT_MAX ? myMin(left, up) + grid[i][j] : INT_MAX;
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}
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/* 最小路径和:记忆化搜索 */
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int minPathSumDFSMem(int gridCols, int grid[][gridCols], int mem[][gridCols], int i, int j) {
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int minPathSumDFSMem(int grid[MAX_SIZE][MAX_SIZE], int mem[MAX_SIZE][MAX_SIZE], int i, int j) {
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// 若为左上角单元格,则终止搜索
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if (i == 0 && j == 0) {
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return grid[0][0];
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@@ -43,17 +46,20 @@ int minPathSumDFSMem(int gridCols, int grid[][gridCols], int mem[][gridCols], in
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return mem[i][j];
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}
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// 左边和上边单元格的最小路径代价
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int up = minPathSumDFSMem(gridCols, grid, mem, i - 1, j);
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int left = minPathSumDFSMem(gridCols, grid, mem, i, j - 1);
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int up = minPathSumDFSMem(grid, mem, i - 1, j);
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int left = minPathSumDFSMem(grid, mem, i, j - 1);
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// 记录并返回左上角到 (i, j) 的最小路径代价
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mem[i][j] = min(left, up) != INT_MAX ? min(left, up) + grid[i][j] : INT_MAX;
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mem[i][j] = myMin(left, up) != INT_MAX ? myMin(left, up) + grid[i][j] : INT_MAX;
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return mem[i][j];
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}
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/* 最小路径和:动态规划 */
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int minPathSumDP(int gridCols, int grid[][gridCols], int n, int m) {
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int minPathSumDP(int grid[MAX_SIZE][MAX_SIZE], int n, int m) {
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// 初始化 dp 表
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int dp[n][m];
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int **dp = malloc(n * sizeof(int *));
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for (int i = 0; i < n; i++) {
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dp[i] = calloc(m, sizeof(int));
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}
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dp[0][0] = grid[0][0];
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// 状态转移:首行
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for (int j = 1; j < m; j++) {
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@@ -66,16 +72,21 @@ int minPathSumDP(int gridCols, int grid[][gridCols], int n, int m) {
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// 状态转移:其余行列
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for (int i = 1; i < n; i++) {
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for (int j = 1; j < m; j++) {
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dp[i][j] = min(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
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dp[i][j] = myMin(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
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}
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}
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return dp[n - 1][m - 1];
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int res = dp[n - 1][m - 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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return res;
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}
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/* 最小路径和:空间优化后的动态规划 */
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int minPathSumDPComp(int gridCols, int grid[][gridCols], int n, int m) {
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int minPathSumDPComp(int grid[MAX_SIZE][MAX_SIZE], int n, int m) {
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// 初始化 dp 表
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int dp[m];
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int *dp = calloc(m, sizeof(int));
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// 状态转移:首行
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dp[0] = grid[0][0];
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for (int j = 1; j < m; j++) {
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@@ -87,33 +98,36 @@ int minPathSumDPComp(int gridCols, int grid[][gridCols], int n, int m) {
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dp[0] = dp[0] + grid[i][0];
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// 状态转移:其余列
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for (int j = 1; j < m; j++) {
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dp[j] = min(dp[j - 1], dp[j]) + grid[i][j];
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dp[j] = myMin(dp[j - 1], dp[j]) + grid[i][j];
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}
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}
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return dp[m - 1];
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int res = dp[m - 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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int main() {
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int grid[][4] = {{1, 3, 1, 5}, {2, 2, 4, 2}, {5, 3, 2, 1}, {4, 3, 5, 2}};
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int n = sizeof(grid) / sizeof(grid[0]), m = sizeof(grid[0]) / sizeof(grid[0][0]);
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int grid[MAX_SIZE][MAX_SIZE] = {{1, 3, 1, 5}, {2, 2, 4, 2}, {5, 3, 2, 1}, {4, 3, 5, 2}};
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int n = 4, m = 4; // 矩阵容量为 MAX_SIZE * MAX_SIZE ,有效行列数为 n * m
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// 暴力搜索
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int res = minPathSumDFS(m, grid, n - 1, m - 1);
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int res = minPathSumDFS(grid, n - 1, m - 1);
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printf("从左上角到右下角的最小路径和为 %d\n", res);
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// 记忆化搜索
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int mem[n][m];
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int mem[MAX_SIZE][MAX_SIZE];
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memset(mem, -1, sizeof(mem));
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res = minPathSumDFSMem(m, grid, mem, n - 1, m - 1);
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res = minPathSumDFSMem(grid, mem, n - 1, m - 1);
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printf("从左上角到右下角的最小路径和为 %d\n", res);
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// 动态规划
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res = minPathSumDP(m, grid, n, m);
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res = minPathSumDP(grid, n, m);
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printf("从左上角到右下角的最小路径和为 %d\n", res);
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// 空间优化后的动态规划
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res = minPathSumDPComp(m, grid, n, m);
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res = minPathSumDPComp(grid, n, m);
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printf("从左上角到右下角的最小路径和为 %d\n", res);
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return 0;
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