0664-strange-printer.js

/**
 * 664. Strange Printer
 * https://leetcode.com/problems/strange-printer/
 * Difficulty: Hard
 *
 * There is a strange printer with the following two special properties:
 * - The printer can only print a sequence of the same character each time.
 * - At each turn, the printer can print new characters starting from and ending at any place and
 *   will cover the original existing characters.
 *
 * Given a string s, return the minimum number of turns the printer needed to print it.
 */

/**
 * @param {string} s
 * @return {number}
 */
var strangePrinter = function(s) {
  const n = s.length;
  const dp = new Array(n).fill().map(() => new Array(n).fill(0));

  for (let i = n - 1; i >= 0; i--) {
    dp[i][i] = 1;
    for (let j = i + 1; j < n; j++) {
      dp[i][j] = dp[i][j - 1] + 1;
      for (let k = i; k < j; k++) {
        if (s[k] === s[j]) {
          dp[i][j] = Math.min(dp[i][j], dp[i][k] + (k + 1 <= j - 1 ? dp[k + 1][j - 1] : 0));
        }
      }
    }
  }

  return dp[0][n - 1];
};