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Given 2 binary strings A and B of the same length, find the minimum number of operations needed to change string A to B. The operations are defined as follows:AND Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai & AjAi = result & AiAj = result & AjOR Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai | AjAi = result | AiAj = result | AjXOR Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai ^ AjAi = result ^ AiAj = result ^ AjInput FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains string A and the second line contains string B.Output FormatFor each test case, if conversion is possible, print "YES" followed by the minimum number of operations required to convert string A to string B, otherwise print "NO", separated by a new line.Constraints1 <= T <= 10001 <= len(A)==len(B) <= 103ExampleInput210101010101011OutputYES 2YES 1ExplanationTest-Case 1We can choose index-1 and index-2 of string A and perform the XOR operation. The resultant string will look like 110. After that, we can choose index-0 and index-2 of the new string A and perform the AND operation. The resultant string will look like 010.

Question

Given 2 binary strings A and B of the same length, find the minimum number of operations needed to change string A to B. The operations are defined as follows:AND Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai & AjAi = result & AiAj = result & AjOR Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai | AjAi = result | AiAj = result | AjXOR Operation:Choose a pair of indices i and j such that i != j and perform the following sequence of operations.result = Ai ^ AjAi = result ^ AiAj = result ^ AjInput FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains string A and the second line contains string B.Output FormatFor each test case, if conversion is possible, print "YES" followed by the minimum number of operations required to convert string A to string B, otherwise print "NO", separated by a new line.Constraints1 <= T <= 10001 <= len(A)==len(B) <= 103ExampleInput210101010101011OutputYES 2YES 1ExplanationTest-Case 1We can choose index-1 and index-2 of string A and perform the XOR operation. The resultant string will look like 110. After that, we can choose index-0 and index-2 of the new string A and perform the AND operation. The resultant string will look like 010.

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Solution

This problem is about converting one binary string to another using a minimum number of operations. The operations allowed are AND, OR, and XOR, and they can be performed on any pair of indices in the string.

Here is a step-by-step solution:

  1. Initialize a counter

Similar Questions

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