Time Limit: 2 Seconds

Memory Limit: 65536 KB


Fiddlesticks is a popular hero in LOL. When he uses third skill, he can summon a crow to attack one enemy while causing damage to the enemy. And then, the crow will attack another enemy. Now there are n enemies. Their HP respectively are a1,a2,a3,...,an. The crow can attack enemies for n+5 times in total. If all enemies are killed, the crow will also disappear.

Being attacked means the enemy's HP minus crow's damage. If a enemy's HP is not larger than 0, the enemy will be removed from the game. In other word, the enemy is killed.

Fiddlesticks always let the crow attack the first enemy firstly. And the crow will attack the second enemy secondly. One by one,1st to nth enemy will be attacked. After attacking the nth enemy, the crow will return to the first enemy(if the enemy isn't killed). But if the crow kills one enemy, it will reverse the attacking direction. For example, if crow kills the 5th enemy, it won't attack 6th enemy and it will attack 4th enemy(if the enemy isn't killed). What you have to get is the serial number of the enemy who was attack finally.



The first line of the input contains a single integer T, the number of test cases, followed by the input data for each test case. In each test case, you should input n(2<=n<=20) and c(50<=c<=100) in one line. n is the number of enemies, and c is the damage of the crow. Then you should input the n enemies' HP(50<=an<=200) in one line.


The output contains exactly T lines, each corresponding to a test case. Each line should contain a single number that is the serial number of the enemy who was attacked finally.

Sample Input

3 100
200 150 200
8 80
200 100 100 100 100 80 160 200

Sample Output