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Apply Bitwise Operations to Make Strings Equal

You are given two 0-indexed binary strings s and target of the same length n.

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:

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.length
  • 2 <= n <= 10^5
  • s and target consist of only the digits 0 and 1.

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