Snow White And Dwarfs

Snow White and the N dwarfs live in the forest. While the dwarfs mine away ,Snow White hangs around social networks.

Each morning the dwarfs form a long line and go whistling away to the mine. Snow White runs around them and snaps pictures to upload onto her favorite social network.

When dwarfs enter the mine, Snow White goes back to their house and goes through the pictures, selecting pretty ones. Each dwarf has a colored cap.

A picture is pretty if more than x caps on it are of the same color. In other words, if there are K dwarfs on the picture, it is pretty if strictly more than x dwarfs have same colored caps.

Write a program that will check for a set of M pictures if they are pretty, and what color is dominating if they are.

Input

First line of input consists of ‘T’-number of test cases (1<=T<=10).

First line of each test case contains one integer N  (3 ≤ N ≤ 300000)  number of dwarfs .

Second line contains N integers , colors of dwarves hats, ordered the way they formed the line that morning.(1<=A[i]<=10^8)

Third line contains M (1 ≤ M ≤100000), number of pictures.

Next M lines contain two integers A , B and X (1 ≤ A ≤ B ≤ N). Each line describes one picture. On it there are all dwarves starting from A-th all the way to the B-th.

Output

For each test case, output M lines with answer(either "yes" or "no" ) to each picture in a single line.

Sample Input

1

10

1 2 2 3 3 4 5 5 6 6

4

1 2 2

1 3 4

1 4 2

1 5 3

Sample Output

no

no

no

no