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Saturday 16 July 2022

[Solution] Difference of GCDs Codeforces Solution



B. Difference of GCDs
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given three integers nl, and r. You need to construct an array a1,a2,,an (lair) such that gcd(i,ai) are all distinct or report there's no solution.

Here gcd(x,y) denotes the greatest common divisor (GCD) of integers x and y.

Input

The input consists of multiple test cases. The first line contains a single integer t (1t104) — the number of test cases. The description of the test cases follows.

The first line contains three integers nlr (1n1051lr109).

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It is guaranteed that the sum of n over all test cases does not exceed 105.

Output

For each test case, if there is no solution, print "NO" (without quotes). You can print letters in any case (upper or lower).

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Otherwise, print "YES" (without quotes). In the next line, print n integers a1,a2,,an — the array you construct.

If there are multiple solutions, you may output any.

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