Count Largest Group
<p>You are given an integer <code>n</code>.</p>

<p>We need to group the numbers from <code>1</code> to <code>n</code> according to the sum of its digits. For example, the numbers 14 and 5 belong to the <strong>same</strong> group, whereas 13 and 3 belong to <strong>different</strong> groups.</p>

<p>Return the number of groups that have the largest size, i.e. the <strong>maximum</strong> number of elements.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> n = 13
<strong>Output:</strong> 4
<strong>Explanation:</strong> There are 9 groups in total, they are grouped according sum of its digits of numbers from 1 to 13:
[1,10], [2,11], [3,12], [4,13], [5], [6], [7], [8], [9].
There are 4 groups with largest size.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> n = 2
<strong>Output:</strong> 2
<strong>Explanation:</strong> There are 2 groups [1], [2] of size 1.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>
</ul>
Hash Table; Math
func countLargestGroup(n int) (ans int) {
	cnt := [40]int{}
	mx := 0
	for i := 1; i <= n; i++ {
		s := 0
		for x := i; x > 0; x /= 10 {
			s += x % 10
		}
		cnt[s]++
		if mx < cnt[s] {
			mx = cnt[s]
			ans = 1
		} else if mx == cnt[s] {
			ans++
		}
	}
	return
}