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Ice Cream Parlor

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Problem Statement
Each time Sunny and Johnny take a trip to the Ice Cream Parlor, they pool their money to buy ice cream. On any given day, the parlor offers a line of flavors. Each flavor has a cost associated with it.

Given the value of money and the cost of each flavor for t trips to the Ice Cream Parlor, help Sunny and Johnny choose two distinct flavors such that they spend their entire pool of money during each visit. ID numbers are the 1- based index number associated with a cost. For each trip to the parlor, print the ID numbers for the two types of ice cream that Sunny and Johnny purchase as two space-separated integers on a new line. You must print the smaller ID first and the larger ID second.

For example, there are n=5 flavors having cost=\left[2,1,3,5,6\right] . Together they have money=5 to spend. They would purchase flavor ID’s 1 and 3 for a cost of 2 + 3 = 5. Use 1 based indexing for your response.

Two ice creams having unique IDs i and j may have the same cost (i.e., cost[i]=cost[j]).
There will always be a unique solution.

Input Format
The first line contains an integer, t, the number of trips to the ice cream parlor.

Each of the next t sets of 3 lines is as follows:
– The first line contains money.
– The second line contains an integer, n, the size of the array cost.
– The third line contains n space-separated integers denoting the cost[i].

Output Format
Print two space-separated integers denoting the respective indices for the two distinct flavors they choose to purchase in ascending order. Recall that each ice cream flavor has a unique ID number in the inclusive range from 1 to |cost|.

Sample Input

Sample Output

Sunny and Johnny make the following two trips to the parlor:
– The first time, they pool together money=4 dollars. There are five flavors available that day and flavors and have a total cost of 1+3=4.
– The second time, they pool together money=4 dollars. There are four flavors available that day and flavors and have a total cost of 2+2=4.