Problem
Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form.
ExampleGiven s = "aabb", return ["abba","baab"].
Given s = "abc", return [].
class Solution { public ListgeneratePalindromes(String s) { List res = new ArrayList<>(); if (s == null || s.length() == 0) return res; //create a map to record counts of chars: int[256] //count the chars that have odd number of count: <= 1 means valid palindrome int[] map = new int[256]; int odd = 0; for (char ch: s.toCharArray()) { map[ch]++; if ((map[ch]&1) == 1) odd++; else odd--; } if (odd > 1) return res; //get mid string: should have length of 1 or 0 String mid = ""; int halfLen = 0; for (int i = 0; i < 256; i++) { if (map[i] > 0) { //find the odd counted char, add to mid if ((map[i]&1) == 1) { mid += (char)i; map[i]--; } //reduce count to half for each char map[i] /= 2; //update half palindrome length halfLen += map[i]; } } dfs(map, "", mid, halfLen, res); return res; } private void dfs(int[] map, String temp, String mid, int len, List res) { if (temp.length() == len) { StringBuilder sb = new StringBuilder(temp).reverse(); res.add(temp+mid+sb.toString()); return; } for (int i = 0; i < 256; i++) { if (map[i] > 0) { map[i]--; dfs(map, temp+(char)i, mid, len, res); map[i]++; } } } }
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