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1370. Increasing Decreasing String

Description

You are given a string s. Reorder the string using the following algorithm:

  1. Remove the smallest character from s and append it to the result.
  2. Remove the smallest character from s that is greater than the last appended character, and append it to the result.
  3. Repeat step 2 until no more characters can be removed.
  4. Remove the largest character from s and append it to the result.
  5. Remove the largest character from s that is smaller than the last appended character, and append it to the result.
  6. Repeat step 5 until no more characters can be removed.
  7. Repeat steps 1 through 6 until all characters from s have been removed.

If the smallest or largest character appears more than once, you may choose any occurrence to append to the result.

Return the resulting string after reordering s using this algorithm.

 

Example 1:

Input: s = "aaaabbbbcccc"
Output: "abccbaabccba"
Explanation: After steps 1, 2 and 3 of the first iteration, result = "abc"
After steps 4, 5 and 6 of the first iteration, result = "abccba"
First iteration is done. Now s = "aabbcc" and we go back to step 1
After steps 1, 2 and 3 of the second iteration, result = "abccbaabc"
After steps 4, 5 and 6 of the second iteration, result = "abccbaabccba"

Example 2:

Input: s = "rat"
Output: "art"
Explanation: The word "rat" becomes "art" after re-ordering it with the mentioned algorithm.

 

Constraints:

  • 1 <= s.length <= 500
  • s consists of only lowercase English letters.

Solutions

Solution 1: Counting + Simulation

First, we use a hash table or an array $cnt$ of length $26$ to count the number of occurrences of each character in the string $s$.

Then, we enumerate the letters $[a,...,z]$. For the current enumerated letter $c$, if $cnt[c] > 0$, we append the letter $c$ to the end of the answer string and decrease $cnt[c]$ by one. We repeat this step until $cnt[c] = 0$. Then we enumerate the letters $[z,...,a]$ in reverse order and perform similar operations. If the length of the answer string equals the length of $s$, then we have completed all the concatenation operations.

The time complexity is $O(n \times |\Sigma|)$, and the space complexity is $O(|\Sigma|)$. Where $n$ is the length of the string $s$, and $\Sigma$ is the character set. In this problem, the character set is all lowercase letters, so $|\Sigma| = 26$.

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class Solution:
    def sortString(self, s: str) -> str:
        cnt = Counter(s)
        cs = ascii_lowercase + ascii_lowercase[::-1]
        ans = []
        while len(ans) < len(s):
            for c in cs:
                if cnt[c]:
                    ans.append(c)
                    cnt[c] -= 1
        return "".join(ans)
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class Solution {
    public String sortString(String s) {
        int[] cnt = new int[26];
        int n = s.length();
        for (int i = 0; i < n; ++i) {
            cnt[s.charAt(i) - 'a']++;
        }
        StringBuilder sb = new StringBuilder();
        while (sb.length() < n) {
            for (int i = 0; i < 26; ++i) {
                if (cnt[i] > 0) {
                    sb.append((char) ('a' + i));
                    --cnt[i];
                }
            }
            for (int i = 25; i >= 0; --i) {
                if (cnt[i] > 0) {
                    sb.append((char) ('a' + i));
                    --cnt[i];
                }
            }
        }
        return sb.toString();
    }
}
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class Solution {
public:
    string sortString(string s) {
        int cnt[26]{};
        for (char& c : s) {
            ++cnt[c - 'a'];
        }
        string ans;
        while (ans.size() < s.size()) {
            for (int i = 0; i < 26; ++i) {
                if (cnt[i]) {
                    ans += i + 'a';
                    --cnt[i];
                }
            }
            for (int i = 25; i >= 0; --i) {
                if (cnt[i]) {
                    ans += i + 'a';
                    --cnt[i];
                }
            }
        }
        return ans;
    }
};
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func sortString(s string) string {
    cnt := [26]int{}
    for _, c := range s {
        cnt[c-'a']++
    }
    n := len(s)
    ans := make([]byte, 0, n)
    for len(ans) < n {
        for i := 0; i < 26; i++ {
            if cnt[i] > 0 {
                ans = append(ans, byte(i)+'a')
                cnt[i]--
            }
        }
        for i := 25; i >= 0; i-- {
            if cnt[i] >