13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T78c,

You are given two integers $$$n$$$ and $$$k$$$. Your task is to find if $$$n$$$ can be represented as a sum of $$$k$$$ distinct positive odd (not divisible by $$$2$$$) integers or not.

You have to answer $$$t$$$ independent test cases.

Input

The first line of the input contains one integer $$$t$$$ ($$$1 \le t \le 10^5$$$) — the number of test cases.

The next $$$t$$$ lines describe test cases. The only line of the test case contains two integers $$$n$$$ and $$$k$$$ ($$$1 \le n, k \le 10^7$$$).

Output

For each test case, print the answer — "YES" (without quotes) if $$$n$$$ can be represented as a sum of $$$k$$$ distinct positive odd (not divisible by $$$2$$$) integers and "NO" otherwise.

Sum of Odd Integers

Examples