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:T686,

Baby Badawy's first words were "AND 0 SUM BIG", so he decided to solve the following problem. Given two integers $$$n$$$ and $$$k$$$, count the number of arrays of length $$$n$$$ such that:

all its elements are integers between $$$0$$$ and $$$2^k-1$$$ (inclusive);
the bitwise AND of all its elements is $$$0$$$;
the sum of its elements is as large as possible.

Since the answer can be very large, print its remainder when divided by $$$10^9+7$$$.

Input

The first line contains an integer $$$t$$$ ($$$1 \le t \le 10$$$) — the number of test cases you need to solve.

Each test case consists of a line containing two integers $$$n$$$ and $$$k$$$ ($$$1 \le n \le 10^{5}$$$, $$$1 \le k \le 20$$$).

Output

For each test case, print the number of arrays satisfying the conditions. Since the answer can be ver

AND 0, Sum Big

Examples