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#F2676. T-primes

    ID: 2682 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 3 上传者: 标签>二分模拟数学数论算法思想编程与模拟基础难度共享题库Codeforces英文题面题目来源题面语言

T-primes

题目描述

B. T-primes
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Τ-prime, if t has exactly three distinct positive divisors.

You are given an array of n positive integers. For each of them determine whether it is Τ-prime or not.

Input

The first line contains a single positive integer, n (1≤n≤105), showing how many numbers are in the array. The next line contains n space-separated integers xi (1≤xi≤1012).

Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is advised to use the cin, cout streams or the %I64d specifier.

Output

Print n lines: the i-th line should contain "YES" (without the quotes), if number xi is Τ-prime, and "NO" (without the quotes), if it isn't.

Examples
Input
3
4 5 6
Output
YES
NO
NO
Note

The given test has three numbers. The first number 4 has exactly three divisors − 1, 2 and 4, thus the answer for this number is "YES". The second number 5 has two divisors (1 and 5), and the third number 6 has four divisors (1, 2, 3, 6), hence the answer for them is "NO".


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2338 题。保留原作者与原赛事署名。