1946. Largest Number After Mutating Substring

Description

You are given a string num, which represents a large integer. You are also given a 0-indexed integer array change of length 10 that maps each digit 0-9 to another digit. More formally, digit d maps to digit change[d].

You may choose to mutate a single substring of num. To mutate a substring, replace each digit num[i] with the digit it maps to in change (i.e. replace num[i] with change[num[i]]).

Return a string representing the largest possible integer after mutating (or choosing not to) a single substring of num.

A substring is a contiguous sequence of characters within the string.

 

Example 1:

Input: num = "132", change = [9,8,5,0,3,6,4,2,6,8]
Output: "832"
Explanation: Replace the substring "1":
- 1 maps to change[1] = 8.
Thus, "132" becomes "832".
"832" is the largest number that can be created, so return it.

Example 2:

Input: num = "021", change = [9,4,3,5,7,2,1,9,0,6]
Output: "934"
Explanation: Replace the substring "021":
- 0 maps to change[0] = 9.
- 2 maps to change[2] = 3.
- 1 maps to change[1] = 4.
Thus, "021" becomes "934".
"934" is the largest number that can be created, so return it.

Example 3:

Input: num = "5", change = [1,4,7,5,3,2,5,6,9,4]
Output: "5"
Explanation: "5" is already the largest number that can be created, so return it.

 

Constraints:

• 1 <= num.length <= 105
• num consists of only digits 0-9.
• change.length == 10
• 0 <= change[d] <= 9

 

Solutions

Solution: Prefix Sum

• Time complexity: O(nlogn)
• Space complexity: O(n)

 

JavaScript

/**
 * @param {string} num
 * @param {number[]} change
 * @return {string}
 */
const maximumNumber = function (num, change) {
  const nums = num.split('');
  let isChanged = false;

  for (let index = 0; index < nums.length; index++) {
    const value = nums[index];
    const changeValue = change[value];

    if (isChanged && value > changeValue) break;
    if (value >= changeValue) continue;
    nums[index] = changeValue;
    isChanged = true;
  }
  return nums.join('');
};