# 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.

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