[LeetCode] 273. Integer to English Words

Convert a non-negative integer to its english words representation. Given input is guaranteed to be less than 231 - 1.
For example,
123 -> "One Hundred Twenty Three"
12345 -> "Twelve Thousand Three Hundred Forty Five"
1234567 -> "One Million Two Hundred Thirty Four Thousand Five Hundred Sixty Seven"

Thought process:
Iterate the number from right to left. One thousand at a time. For each thousand, iterate through the digits from right to left. Based on the index of the current digit, there are several cases:
  1. index == 1: 
    1. digit == 0:
      1. left > 0: append "x-ty" to words. Increment index and right shift number.
      2. left == 0: continue.
    2. left == 1:
      1. append "x-teen" to words. Increment index and right shift number.
    3. Otherwise, append number to words.
  2. index == 2:
    1. digit == 0: continue.
    2. digit > 0: since the special cases are already covered in the previous case. Append "x-ty" to words.
  3. index == 3:
    1. digit == 0: continue;
    2. digit > 0: append "number Hundred" to words.
At the end of each thousand, append "Thousand", "Million", or "Billion" based on loop index.

Solution:

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class Solution {
    public String numberToWords(int num) {
        if (num == 0) {
            return "Zero";
        }
        
        String[] ones = { "Zero", "One", "Two", "Three", "Four", "Five", "Six", "Seven", "Eight", "Nine" };
        String[] teens = { "", "Eleven", "Twelve", "Thirteen", "Fourteen", "Fifteen", "Sixteen", "Seventeen", "Eighteen", "Nineteen" };
        String[] tens = { "", "Ten", "Twenty", "Thirty", "Forty", "Fifty", "Sixty", "Seventy", "Eighty", "Ninety" };
        
        int thousand = 0;
        String words = "";
        
        while (num > 0) {
            int index = 0;
            int mod = num % 1000;
            
            while (mod > 0) {
                int digit = mod % 10;
                int left = mod % 100 / 10;
                
                if (index == 0) {
                    if (digit == 0) {
                        if (left > 0) {
                            words = " " + tens[left] + words;
                            index++;
                            mod /= 10;
                        }
                    } else if (left == 1) {
                        words = " " + teens[digit] + words;
                        index++;
                        mod /= 10;
                    } else {
                        words = " " + ones[digit] + words;
                    }
                } else if (index == 1 && digit > 0) {
                    words = " " + tens[digit] + words;
                } else if (index == 2 && digit > 0) {
                    words = " " + ones[digit] + " Hundred" + words;
                }
                index++;
                mod /= 10;
            }
            
            num /= 1000;
            if (thousand == 0 && num % 1000 > 0) {
                words = " Thousand" + words;
            } else if (thousand == 1 && num % 1000 > 0) {
                words = " Million" + words;
            } else if (thousand == 2 && num > 0) {
                words = " Billion" + words;
            }
            thousand++;
        }
        return words.trim();
    }
}

Time complexity:
Say the number has n digits. Consider string concatenation is O(s). The overall time complexity is O(ns).

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