# It's much closer than you think!

**Logic**Level 4

\[\LARGE 9 \ \ \ 8 \ \ \ 7 \ \ \ 6 \ \ \ 5 \ \ \ 4 \ \ \ 3 \ \ \ 2 \ \ \ 1 \ \ \ = \ \ 100\]

Without touching the right side of the equation, find a way to make the equation above true. You are only allowed to use mathematical operators like addition and subtraction only.

Find a possible way to make the above equation true such that you used the **least** number of mathematical operators. Let \(A\) denote the number of addition signs used and \(S\) denote the number of subtraction sign used. Find the value of \(3A+4S\).

**Details And Assumptions:**

As an explicit example if the equation \(9+8-7-6-5+4+3-2-1=100\) is true, then you have used 4 addition signs and 5 subtraction signs. So \(A=4 \ , \ S=5\).

You can combine the digits as well.That is \(98765+43+21\).

You must keep the digits in order (from left to right).That is \(9+87+65+4321\) is valid but \(9+78+56+3421\) is not allowed.