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1529. Minimum Suffix Flips

Description

You are given a 0-indexed binary string target of length n. You have another binary string s of length n that is initially set to all zeros. You want to make s equal to target.

In one operation, you can pick an index i where 0 <= i < n and flip all bits in the inclusive range [i, n - 1]. Flip means changing '0' to '1' and '1' to '0'.

Return the minimum number of operations needed to make s equal to target.

 

Example 1:

Input: target = "10111"
Output: 3
Explanation: Initially, s = "00000".
Choose index i = 2: "00000" -> "00111"
Choose index i = 0: "00111" -> "11000"
Choose index i = 1: "11000" -> "10111"
We need at least 3 flip operations to form target.

Example 2:

Input: target = "101"
Output: 3
Explanation: Initially, s = "000".
Choose index i = 0: "000" -> "111"
Choose index i = 1: "111" -> "100"
Choose index i = 2: "100" -> "101"
We need at least 3 flip operations to form target.

Example 3:

Input: target = "00000"
Output: 0
Explanation: We do not need any operations since the initial s already equals target.

 

Constraints:

  • n == target.length
  • 1 <= n <= 105
  • target[i] is either '0' or '1'.

Solutions

  • class Solution {
        public int minFlips(String target) {
            int ans = 0;
            for (int i = 0; i < target.length(); ++i) {
                int v = target.charAt(i) - '0';
                if (((ans & 1) ^ v) != 0) {
                    ++ans;
                }
            }
            return ans;
        }
    }
    
  • class Solution {
    public:
        int minFlips(string target) {
            int ans = 0;
            for (char c : target) {
                int v = c - '0';
                if ((ans & 1) ^ v) {
                    ++ans;
                }
            }
            return ans;
        }
    };
    
  • class Solution:
        def minFlips(self, target: str) -> int:
            ans = 0
            for v in target:
                if (ans & 1) ^ int(v):
                    ans += 1
            return ans
    
    
  • func minFlips(target string) int {
    	ans := 0
    	for _, c := range target {
    		v := int(c - '0')
    		if ((ans & 1) ^ v) != 0 {
    			ans++
    		}
    	}
    	return ans
    }
    

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