Find The Array :
Difficulty Level : Easy
Submissions : 98
Asked In :
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Given an integer array, $$$A$$$ of length $$$N$$$ and the sum of the elements of this array is $$$X$$$. You are also given an integer array $$$B$$$ of length $$$N$$$ which is given as $$$B_{i} = X - A_{i}$$$ for all $$$ 0 \le i \le N-1$$$. Your task is to find Array $$$A$$$.
Input
The first line contains an integer $$$N$$$. The next line contains an array $$$B$$$ having $$$N$$$ elements where $$$B_{i} = X - A_{i}$$$ for all $$$ 0 \le i \le N-1$$$.$$$(2 \le N \le 10^5)$$$$$$(0 \le B_{i} \le 10^5).$$$
Output
Output the integer array $$$A$$$.
Examples
Input
3 1 3 4
Output
3 1 0
Input
5 25539 29221 6895 82089 0
Output
10397 6715 29041 -46153 35936
Note
For a given array $$$B_{i}$$$, there will always be an array $$$A_{i}.$$$
