Description

James, a pro photographer, recently went to a baseball game. He was very interested in Mexican wave, so he decided to take some photos of it.

Image that there are n spectators in the stadium, labelled from 1 to n. The maximum length of the wave is m. The spectators start the Mexican wave at time 0.

- At time 1, the first spectator stands.
- At time 2, the second spectator stands.
- ...
- At time m, the m-th spectator stands.
- At time m + 1, the (m + 1)-th spectator stands and the first spectator sits.
- At time m + 2, the (m + 2)-th spectator stands and the second spectator sits.
- ...
- At time n, the n-th spectator stands and the (n - m)-th spectator sits.
- At time n + 1, the (n + 1 - m)-th spectator sits.
- ...
- At time n + m, the n-th spectator sits.

Now, James prints out T pictures he took and wants to play a game with you. For each picture, James will give you n, m, and the time t he took the picture. Can you predict how will picture looks like?

If you win the game, maybe James will teach you some tips about shooting an astonishing picture.

Input

The first line contains one integer number T, representing the numbers of photos.

The next T lines contain three integers n, m, t, representing the number of spectators, the maximum length of the wave, and the time James took the picture.

1 <= T <= 100
1 <= m <= n <= 100
0 <= t <= 100

Output

For each picture please output a line contains n characters, representing the states of the n spectators. If a spectator is sitting, please print '-', otherwise please print '^'. You can find out more information in sample output.

Sample Input  Download

Sample Output  Download

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Description

You are given a polynomial f(x). deg(f(x)) = N.
Given a integer M, please output the answer of f(M).

Sample Output Explanation : in sample input, the equation is x³ - x + 3, When M = 2, f(M) = 9

Input

The first line contains two integer numbers N, M, representing the degree of f(x) and the input number.
The second line contains N+1 integer numbers a_n, ... , a₁, a₀, representing the coefficient of xⁿ, x^n-1, ... , x², x¹, x⁰.

• 1 ≤ N ≤ 100
• -1000 ≤ M, a_i ≤ 1000
• -10⁹ ≤ f(M) ≤ 10⁹

Output

Please output the answer of ​f(M)

Remember to print '\n' after your answer.

Sample Input  Download

Sample Output  Download

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Description

Given an interval [L,R], please find out the integer which has the most positive factors (正因數) in this interval.

If there are multiple answers, print the smallest of them.

Input

The first line contains an integer T, representing the number of testcases.

The next T lines contain two integers L and R, representing the endpoints of the interval.

• 1 ≤ T ≤ 20
• 1 ≤ L ≤ R ≤ 20000

Output

For each testcase, please output a line contains an integer representing your answer.

(i.e. Please print '\n' after each answer.)

Sample Input  Download

Sample Output  Download

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