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Monday 4 July 2022

[Solution] The Third Three Number Problem Codeforces Solution


A. The Third Three Number Problem
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given a positive integer n. Your task is to find any three integers ab and c (0a,b,c109) for which (ab)+(bc)+(ac)=n, or determine that there are no such integers.

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Here ab denotes the bitwise XOR of a and b. For example, 24=6 and 31=2.

Input

Each test contains multiple test cases. The first line contains a single integer t (1t104) — the number of test cases. The following lines contain the descriptions of the test cases.

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The only line of each test case contains a single integer n (1n109).

Output

For each test case, print any three integers ab and c (0a,b,c109) for which (ab)+(bc)+(ac)=n. If no such integers exist, print 1.

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