Description

Woniuxia is preparing for internship. So he is bound to take a written examination and an interview. But as we all know,his level is too low. Look! The written test question stumped him again. Fortunately you couldn't stand idly by when you are beside him. Would you please to help him solve the problem as follows?

Give you a set of data,please delete three numbers among them,which can make the rest of the data is divided into four sections and the sum of each section is equal.

If it is possible,output the three deleted numbers' position in the array.

If not,output "I am done."

Format

Input

The first line is an integer $n(1 \leq n \leq 1000)$, indicating the number of the sequence.

The next line contain $a_i$ the $n$ number (pending sequence). $(0\leq a_i\leq 100000)$

Output

Print the result, the three position of delete the number or “I am done.”.

Samples

7
1 1 1 1 1 1 1

2 4 6