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1525. Number of Good Ways to Split a String.md

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the third one in Biweekly Contest 31.


Difficulty : Medium

Related Topics : StringBit Manipulation


You are given a string s, a split is called good if you can split s into 2 non-empty strings p and q where its concatenation is equal to s and the number of distinct letters in p and q are the same.

Return the number of good splits you can make in s.

Example 1:

Input: s = "aacaba"
Output: 2
Explanation: There are 5 ways to split "aacaba" and 2 of them are good.
("a", "acaba") Left string and right string contains 1 and 3 different letters respectively.
("aa", "caba") Left string and right string contains 1 and 3 different letters respectively.
("aac", "aba") Left string and right string contains 2 and 2 different letters respectively (good split).
("aaca", "ba") Left string and right string contains 2 and 2 different letters respectively (good split).
("aacab", "a") Left string and right string contains 3 and 1 different letters respectively.

Example 2:

Input: s = "abcd"
Output: 1
Explanation: Split the string as follows ("ab", "cd").

Example 3:

Input: s = "aaaaa"
Output: 4
Explanation: All possible splits are good.

Example 4:

Input: s = "acbadbaada"
Output: 2

Constraints:

  • s contains only lowercase English letters.
  • 1 <= s.length <= 10^5

Solution

  • mine
    • Java
      • Runtime: 23 ms, faster than 51.50%, Memory Usage: 40.8 MB, less than 52.46% of Java online submissions
        // O(N)time
        // O(D)space  D is the count of distinct char in s
        public int numSplits(String s) {
            char[] arr = s.toCharArray();
            Map<Character, Integer> map = new HashMap<>();
            Set<Character> set = new HashSet<>();
            for (char c : arr) {
                map.put(c, map.getOrDefault(c, 0) + 1);
            }
            int res = 0;
            for (int i = 0; i < arr.length; i++) {
                char c = arr[i];
                set.add(c);
                int t = map.getOrDefault(c, 0);
                if (t > 1) {
                    map.put(c, t - 1);
                } else {
                    map.remove(c);
                }
                if (set.size() == map.size()) {
                    res++;
                }
            }
            return res;
        }
        

  • the most votes
  • Sliding Window Runtime: 5 ms, faster than 94.30%, Memory Usage: 39.4 MB, less than 94.54% of Java online submissions
    // O(N)time
    // O(1)space
    public int numSplits(String str) {
        int[] l = new int[26];
        int[] r = new int[26];
        int d_l = 0, d_r = 0;
        int res = 0;
        char[] s = str.toCharArray();
        for (char ch : s) {
            d_r += ++r[ch - 'a'] == 1 ? 1 : 0;
        }
        for (int i = 0; i < s.length; ++i) {
            d_l += ++l[s[i] - 'a'] == 1 ? 1 : 0;
            d_r -= --r[s[i] - 'a'] == 0 ? 1 : 0;
            res += d_l == d_r ? 1 : 0;
        }
        return res;
    }