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Friday 8 July 2022

[Solution] Game of Piles Version 1 CodeChef Solution | Solution Codechef


Chef has 3 hidden numbers A,B, and C such that 0A,B,CN.

Let f be a function such that f(i)=(Ai)+(Bi)+(Ci). Here  denotes the bitwise XOR operation.

Given the values of f(0),f(1),,f(N), determine the values of A,B, and C.

It is guaranteed that at least one tuple exists for the given input. If there are multiple valid tuples of A,B,C, print any one.

Input Format

  • The first line of input will contain a single integer T, denoting the number of test cases.
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  • Each test case consists of multiple lines of input.
    • The first line of each test case contains a single integer N denoting the upper bound on the values of A,B,C.
    • Next line contains N+1 space-separated integers denoting f(0),f(1),,f(N).

Output Format

For each test case, output on a new line, three space-separated integers, the values of A,B, and C.

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 If there are multiple valid tuples of A,B,C, print any one.

Constraints

  • 1T2104
  • 2N105
  • Sum of N over all test cases does not exceed 

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