c$++.$For an array $a$ of integers let's denote its maximal element as max$(a),$ and minimal as min$(a).$ We will call an array $a$ of $k$ integers

interesting if max$(a)-$min$(a)k.$ For example, array $[1,3,4,3]$ isn't interesting as max$(a)-$min$(a)=4-1=3<mn\; id="EditorElement\_391028">4</mn>$ while array

$7,3,0,4,3$ is as max$(a)-$min$(a)=7-0=75.$

You are given an array $a$ of $n$ integers. Find some interesting nonempty subarray of $a,$ or tell that it doesn't exist.

An array $b$ is a subarray of an array $a$ if $b$ can be obtained from $a$ by deletion of several $($possibly$,$ zero or all$)$ elements from the beginning

and several $($possibly$,$ zero or all$)$ elements from the end. In particular, an array is a subarray of itself.

Input

The first line contains integer number $t(1t10000).$ Then $t$ test cases follow.

The first line of each test case contains a single integer $n(2n2*{10}^5)-$ the length of the array.

The second line of each test case contains $n$ integers $a_1,a_2,$dots,$a_n(0a_i{10}^9)-$ the elements of the array.

It is guaranteed that the sum of $n$ over all test cases does not exceed $2*{10}^5.$

Output

For each test case, output $"$NO$"$ in a separate line if there is no interesting nonempty subarray in $a.$

Otherwise, output "YES" in a separate line. In the next line, output two integers $l$ and $r(1lrn)-$ bounds of the chosen subarray.

If there are multiple answers, print any.

You can print each letter in any case $($upper or lower$).$

Example

$3$

$2,3,4,5$

$019$

$20192020$

output

NO

YES

$14$

NO