Translate all code to English (#1836)

* Review the EN heading format. * Fix pythontutor headings. * Fix pythontutor headings. * bug fixes * Fix headings in **/summary.md * Revisit the CN-to-EN translation for Python code using Claude-4.5 * Revisit the CN-to-EN translation for Java code using Claude-4.5 * Revisit the CN-to-EN translation for Cpp code using Claude-4.5. * Fix the dictionary. * Fix cpp code translation for the multipart strings. * Translate Go code to English. * Update workflows to test EN code. * Add EN translation for C. * Add EN translation for CSharp. * Add EN translation for Swift. * Trigger the CI check. * Revert. * Update en/hash_map.md * Add the EN version of Dart code. * Add the EN version of Kotlin code. * Add missing code files. * Add the EN version of JavaScript code. * Add the EN version of TypeScript code. * Fix the workflows. * Add the EN version of Ruby code. * Add the EN version of Rust code. * Update the CI check for the English version code. * Update Python CI check. * Fix cmakelists for en/C code. * Fix Ruby comments
2026-07-03 19:25:24 +00:00 · 2025-12-31 07:44:52 +08:00
parent 45e1295241
commit 2778a6f9c7
1284 changed files with 71557 additions and 3275 deletions
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+/**
+ * File: min_path_sum.js
+ * Created Time: 2023-08-23
+ * Author: Gaofer Chou (gaofer-chou@qq.com)
+ */
+
+/* Minimum path sum: Brute-force search */
+function minPathSumDFS(grid, i, j) {
+    // If it's the top-left cell, terminate the search
+    if (i === 0 && j === 0) {
+        return grid[0][0];
+    }
+    // If row or column index is out of bounds, return +∞ cost
+    if (i < 0 || j < 0) {
+        return Infinity;
+    }
+    // Calculate the minimum path cost from top-left to (i-1, j) and (i, j-1)
+    const up = minPathSumDFS(grid, i - 1, j);
+    const left = minPathSumDFS(grid, i, j - 1);
+    // Return the minimum path cost from top-left to (i, j)
+    return Math.min(left, up) + grid[i][j];
+}
+
+/* Minimum path sum: Memoization search */
+function minPathSumDFSMem(grid, mem, i, j) {
+    // If it's the top-left cell, terminate the search
+    if (i === 0 && j === 0) {
+        return grid[0][0];
+    }
+    // If row or column index is out of bounds, return +∞ cost
+    if (i < 0 || j < 0) {
+        return Infinity;
+    }
+    // If there's a record, return it directly
+    if (mem[i][j] !== -1) {
+        return mem[i][j];
+    }
+    // Minimum path cost for left and upper cells
+    const up = minPathSumDFSMem(grid, mem, i - 1, j);
+    const left = minPathSumDFSMem(grid, mem, i, j - 1);
+    // Record and return the minimum path cost from top-left to (i, j)
+    mem[i][j] = Math.min(left, up) + grid[i][j];
+    return mem[i][j];
+}
+
+/* Minimum path sum: Dynamic programming */
+function minPathSumDP(grid) {
+    const n = grid.length,
+        m = grid[0].length;
+    // Initialize dp table
+    const dp = Array.from({ length: n }, () =>
+        Array.from({ length: m }, () => 0)
+    );
+    dp[0][0] = grid[0][0];
+    // State transition: first row
+    for (let j = 1; j < m; j++) {
+        dp[0][j] = dp[0][j - 1] + grid[0][j];
+    }
+    // State transition: first column
+    for (let i = 1; i < n; i++) {
+        dp[i][0] = dp[i - 1][0] + grid[i][0];
+    }
+    // State transition: rest of the rows and columns
+    for (let i = 1; i < n; i++) {
+        for (let j = 1; j < m; j++) {
+            dp[i][j] = Math.min(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
+        }
+    }
+    return dp[n - 1][m - 1];
+}
+
+/* Minimum path sum: Space-optimized dynamic programming */
+function minPathSumDPComp(grid) {
+    const n = grid.length,
+        m = grid[0].length;
+    // Initialize dp table
+    const dp = new Array(m);
+    // State transition: first row
+    dp[0] = grid[0][0];
+    for (let j = 1; j < m; j++) {
+        dp[j] = dp[j - 1] + grid[0][j];
+    }
+    // State transition: rest of the rows
+    for (let i = 1; i < n; i++) {
+        // State transition: first column
+        dp[0] = dp[0] + grid[i][0];
+        // State transition: rest of the columns
+        for (let j = 1; j < m; j++) {
+            dp[j] = Math.min(dp[j - 1], dp[j]) + grid[i][j];
+        }
+    }
+    return dp[m - 1];
+}
+
+/* Driver Code */
+const grid = [
+    [1, 3, 1, 5],
+    [2, 2, 4, 2],
+    [5, 3, 2, 1],
+    [4, 3, 5, 2],
+];
+const n = grid.length,
+    m = grid[0].length;
+// Brute-force search
+let res = minPathSumDFS(grid, n - 1, m - 1);
+console.log(`Minimum path sum from top-left to bottom-right is ${res}`);
+
+// Memoization search
+const mem = Array.from({ length: n }, () =>
+    Array.from({ length: m }, () => -1)
+);
+res = minPathSumDFSMem(grid, mem, n - 1, m - 1);
+console.log(`Minimum path sum from top-left to bottom-right is ${res}`);
+
+// Dynamic programming
+res = minPathSumDP(grid);
+console.log(`Minimum path sum from top-left to bottom-right is ${res}`);
+
+// Space-optimized dynamic programming
+res = minPathSumDPComp(grid);
+console.log(`Minimum path sum from top-left to bottom-right is ${res}`);