题库练习 Difference of GCDs
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A15184 | Difference of GCDs

时间限制1s
内存限制256MB
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题目描述

You are given three integers $n$ , $l$ , and $r$ . You need to construct an array $a_1,a_2,\dots,a_n$ ( $l\le a_i\le r$ ) such that $\gcd(i,a_i)$ are all distinct or report there's no solution.

Here $\gcd(x, y)$ denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Greatest_common_divisor) of integers $x$ and $y$ .

输入格式

The input consists of multiple test cases. The first line contains a single integer $t$ ( $1\le t\le 10^4$ ) — the number of test cases. The description of the test cases follows.

The first line contains three integers $n$ , $l$ , $r$ ( $1 \le n \le 10^5$ , $1\le l\le r\le 10^9$ ).

It is guaranteed that the sum of $n$ over all test cases does not exceed $10^5$ .

输出格式

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

Otherwise, print "YES" (without quotes). In the next line, print $n$ integers $a_1,a_2,\ldots,a_n$ — the array you construct.

If there are multiple solutions, you may output any.

输入输出样例

输入 #1
4
5 1 5
9 1000 2000
10 30 35
1 1000000000 1000000000
输出 #1
YES
1 2 3 4 5
YES
1145 1926 1440 1220 1230 1350 1001 1000 1233
NO
YES
1000000000
C++ 编辑器
输入
输出