1079. Letter Tile Possibilities

 https://leetcode.com/problems/letter-tile-possibilities/description/

You have n  tiles, where each tile has one letter tiles[i] printed on it.

Return the number of possible non-empty sequences of letters you can make using the letters printed on those tiles.

 

Example 1:

Input: tiles = "AAB"
Output: 8
Explanation: The possible sequences are "A", "B", "AA", "AB", "BA", "AAB", "ABA", "BAA".

Example 2:

Input: tiles = "AAABBC"
Output: 188

Example 3:

Input: tiles = "V"
Output: 1

 

Constraints:

  • 1 <= tiles.length <= 7
  • tiles consists of uppercase English letters.
------------


class Solution {
public int numTilePossibilities(String tiles) {
int[] counts = new int[26];
for (char ch: tiles.toCharArray()) {
counts[ch - 'A']++;
}
return dfs(counts);
}
private int dfs(int[] counts) {
int ans = 0;
for (int i = 0; i < counts.length; i++) {
// skip characters not present
if (counts[i] == 0) {
continue;
}
// use current character
ans++;
counts[i]--;
// recurse
ans += dfs(counts);
// backtrack, do not use current char
counts[i]++;
}
return ans;
}
}