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1209. Remove All Adjacent Duplicates in String II

Description

You are given a string s and an integer k, a k duplicate removal consists of choosing k adjacent and equal letters from s and removing them, causing the left and the right side of the deleted substring to concatenate together.

We repeatedly make k duplicate removals on s until we no longer can.

Return the final string after all such duplicate removals have been made. It is guaranteed that the answer is unique.

 

Example 1:

Input: s = "abcd", k = 2
Output: "abcd"
Explanation: There's nothing to delete.

Example 2:

Input: s = "deeedbbcccbdaa", k = 3
Output: "aa"
Explanation: 
First delete "eee" and "ccc", get "ddbbbdaa"
Then delete "bbb", get "dddaa"
Finally delete "ddd", get "aa"

Example 3:

Input: s = "pbbcggttciiippooaais", k = 2
Output: "ps"

 

Constraints:

  • 1 <= s.length <= 105
  • 2 <= k <= 104
  • s only contains lowercase English letters.

Solutions

Solution 1: Stack

We can traverse the string $s$, maintaining a stack that stores the characters and their occurrence counts. When traversing to character $c$, if the character at the top of the stack is the same as $c$, we increment the count of the top element by one; otherwise, we push the character $c$ and count $1$ into the stack. When the count of the top element equals $k$, we pop the top element from the stack.

After traversing the string $s$, the elements remaining in the stack form the final result. We can pop the elements from the stack one by one, concatenate them into a string, and that’s our answer.

The time complexity is $O(n)$, and the space complexity is $O(n)$. Here, $n$ is the length of the string $s$.

  • class Solution {
        public String removeDuplicates(String s, int k) {
            Deque<int[]> stk = new ArrayDeque<>();
            for (int i = 0; i < s.length(); ++i) {
                int j = s.charAt(i) - 'a';
                if (!stk.isEmpty() && stk.peek()[0] == j) {
                    stk.peek()[1] = (stk.peek()[1] + 1) % k;
                    if (stk.peek()[1] == 0) {
                        stk.pop();
                    }
                } else {
                    stk.push(new int[] {j, 1});
                }
            }
            StringBuilder ans = new StringBuilder();
            for (var e : stk) {
                char c = (char) (e[0] + 'a');
                for (int i = 0; i < e[1]; ++i) {
                    ans.append(c);
                }
            }
            ans.reverse();
            return ans.toString();
        }
    }
    
  • class Solution {
    public:
        string removeDuplicates(string s, int k) {
            vector<pair<char, int>> stk;
            for (char& c : s) {
                if (stk.size() && stk.back().first == c) {
                    stk.back().second = (stk.back().second + 1) % k;
                    if (stk.back().second == 0) {
                        stk.pop_back();
                    }
                } else {
                    stk.push_back({c, 1});
                }
            }
            string ans;
            for (auto [c, v] : stk) {
                ans += string(v, c);
            }
            return ans;
        }
    };
    
  • class Solution:
        def removeDuplicates(self, s: str, k: int) -> str:
            t = []
            i, n = 0, len(s)
            while i < n:
                j = i
                while j < n and s[j] == s[i]:
                    j += 1
                cnt = j - i
                cnt %= k
                if t and t[-1][0] == s[i]:
                    t[-1][1] = (t[-1][1] + cnt) % k
                    if t[-1][1] == 0:
                        t.pop()
                elif cnt:
                    t.append([s[i], cnt])
                i = j
            ans = [c * v for c, v in t]
            return "".join(ans)
    
    
  • func removeDuplicates(s string, k int) string {
    	stk := []pair{}
    	for _, c := range s {
    		if len(stk) > 0 && stk[len(stk)-1].c == c {
    			stk[len(stk)-1].v = (stk[len(stk)-1].v + 1) % k
    			if stk[len(stk)-1].v == 0 {
    				stk = stk[:len(stk)-1]
    			}
    		} else {
    			stk = append(stk, pair{c, 1})
    		}
    	}
    	ans := []rune{}
    	for _, e := range stk {
    		for i := 0; i < e.v; i++ {
    			ans = append(ans, e.c)
    		}
    	}
    	return string(ans)
    }
    
    type pair struct {
    	c rune
    	v int
    }
    

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