Description
You are given two 0-indexed binary strings s and target of the same length n. You can do the following operation on s any number of times:
- Choose two different indices
iandjwhere0 <= i, j < n. - Simultaneously, replace
s[i]with (s[i]ORs[j]) ands[j]with (s[i]XORs[j]).
For example, if s = "0110", you can choose i = 0 and j = 2, then simultaneously replace s[0] with (s[0] OR s[2] = 0 OR 1 = 1), and s[2] with (s[0] XOR s[2] = 0 XOR 1 = 1), so we will have s = "1110".
Return true if you can make the string s equal to target, or false otherwise.
Example 1:
Input: s = "1010", target = "0110" Output: true Explanation: We can do the following operations: - Choose i = 2 and j = 0. We have now s = "0010". - Choose i = 2 and j = 1. We have now s = "0110". Since we can make s equal to target, we return true.
Example 2:
Input: s = "11", target = "00" Output: false Explanation: It is not possible to make s equal to target with any number of operations.
Constraints:
n == s.length == target.length2 <= n <= 105sandtargetconsist of only the digits0and1.
Solutions
Solution 1: Lateral Thinking
We notice that 1 is actually a "tool" for number conversion. Therefore, as long as both strings either have 1 or neither have 1, we can make the two strings equal through operations.
The time complexity is O(n), where n is the length of the string. The space complexity is O(1).
PythonJavaC++GoTypeScriptRustC
class Solution: def makeStringsEqual(self, s: str, target: str) -> bool: return ("1" in s) == ("1" in target)(code-box)
