CF1866A Ambitious Kid
Description
Chaneka, Pak Chanek's child, is an ambitious kid, so Pak Chanek gives her the following problem to test her ambition.
Given an array of integers $ [A_1, A_2, A_3, \ldots, A_N] $ . In one operation, Chaneka can choose one element, then increase or decrease the element's value by $ 1 $ . Chaneka can do that operation multiple times, even for different elements.
What is the minimum number of operations that must be done to make it such that $ A_1 \times A_2 \times A_3 \times \ldots \times A_N = 0 $ ?
Input Format
The first line contains a single integer $ N $ ( $ 1 \leq N \leq 10^5 $ ).
The second line contains $ N $ integers $ A_1, A_2, A_3, \ldots, A_N $ ( $ -10^5 \leq A_i \leq 10^5 $ ).
Output Format
An integer representing the minimum number of operations that must be done to make it such that $ A_1 \times A_2 \times A_3 \times \ldots \times A_N = 0 $ .
Explanation/Hint
In the first example, initially, $ A_1\times A_2\times A_3=2\times(-6)\times5=-60 $ . Chaneka can do the following sequence of operations:
1. Decrease the value of $ A_1 $ by $ 1 $ . Then, $ A_1\times A_2\times A_3=1\times(-6)\times5=-30 $
2. Decrease the value of $ A_1 $ by $ 1 $ . Then, $ A_1\times A_2\times A_3=0\times(-6)\times5=0 $
In the third example, Chaneka does not have to do any operations, because from the start, it already holds that $ A_1\times A_2\times A_3\times A_4\times A_5=0\times(-1)\times0\times1\times0=0 $