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Friday 2 September 2022

[Solution] Madoka and Formal Statement Codeforces Solution


C. Madoka and Formal Statement
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Given an array of integer a1,a2,,an. In one operation you can make ai:=ai+1 if i<n and aiai+1, or i=n and aia1.

You need to check whether the array a1,a2,,an can become equal to the array b1,b2,,bn in some number of operations (possibly, zero). Two arrays a and b of length n are called equal if ai=bi for all integers i from 1 to n.

Input

The input consists of multiple test cases. The first line contains a single integer t (1t4104) — the number of test cases. Description of the test cases follows.

The first line of each test case contains a single integer n (2n2105) – the length of the array.

The second line of each test case contains n integers a1,,an (1ai109) – the elements of the array a.

The third line of each test case contains n integers b1,,bn (1bi109) – the elements of the array b.

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It is guaranteed that the sum of n over all test cases does not exceed 2105.

Output

For each test case, output "YES" if you can get the array b, otherwise output "NO".

You may print each letter in any case (for example, "YES", "Yes", "yes", "yEs" will all be recognized as positive answer).

Note

In the first test case, the array a is already equal to the array b.

In the second test case, we can't get the array b, because to do this we need to decrease a1.

In the fifth test case, we can apply operations in order to the elements with indices 4,3,3,2,2,2,1,1,1,1, and then get the array [5,5,5,5,5]. After that, you can apply operations in order to elements with indices 5,4,4,3,1 and already get an array [6,5,6,7,6].

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