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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
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en/codes/javascript/chapter_backtracking/n_queens.js
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55
en/codes/javascript/chapter_backtracking/n_queens.js
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/**
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* File: n_queens.js
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* Created Time: 2023-05-13
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* Author: Justin (xiefahit@gmail.com)
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*/
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/* Backtracking algorithm: N queens */
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function backtrack(row, n, state, res, cols, diags1, diags2) {
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// When all rows are placed, record the solution
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if (row === n) {
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res.push(state.map((row) => row.slice()));
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return;
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}
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// Traverse all columns
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for (let col = 0; col < n; col++) {
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// Calculate the main diagonal and anti-diagonal corresponding to this cell
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const diag1 = row - col + n - 1;
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const diag2 = row + col;
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// Pruning: do not allow queens to exist in the column, main diagonal, and anti-diagonal of this cell
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if (!cols[col] && !diags1[diag1] && !diags2[diag2]) {
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// Attempt: place the queen in this cell
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state[row][col] = 'Q';
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cols[col] = diags1[diag1] = diags2[diag2] = true;
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// Place the next row
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backtrack(row + 1, n, state, res, cols, diags1, diags2);
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// Backtrack: restore this cell to an empty cell
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state[row][col] = '#';
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cols[col] = diags1[diag1] = diags2[diag2] = false;
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}
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}
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}
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/* Solve N queens */
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function nQueens(n) {
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// Initialize an n*n chessboard, where 'Q' represents a queen and '#' represents an empty cell
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const state = Array.from({ length: n }, () => Array(n).fill('#'));
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const cols = Array(n).fill(false); // Record whether there is a queen in the column
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const diags1 = Array(2 * n - 1).fill(false); // Record whether there is a queen on the main diagonal
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const diags2 = Array(2 * n - 1).fill(false); // Record whether there is a queen on the anti-diagonal
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const res = [];
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backtrack(0, n, state, res, cols, diags1, diags2);
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return res;
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}
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// Driver Code
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const n = 4;
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const res = nQueens(n);
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console.log(`Input board size is ${n}`);
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console.log(`Total queen placement solutions: ${res.length}`);
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res.forEach((state) => {
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console.log('--------------------');
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state.forEach((row) => console.log(row));
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});
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