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Mathematics

Find which math expression matches the answer that you are given, if you have an integer answer, and a list of math expressions.

Task:

Test each math expression to find the first one that matches the answer that you are given.

Input Format:

Two inputs: an integer and a space separated string of math expressions. The following operations need to be supported: addition +, subtraction -, multiplication *, division /. An expression can include multiple operations.

Output Format:

A string that tells the index of the first math expression that matches. If there are no matches, output 'none'.

Sample Input:

15
(2+100) (5*3) (14+1)

Sample Output:

index 1