3001: Balancer
[Creator : ]
Description
time limit per test
0.5 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputPetya has k matches, placed in n matchboxes lying in a line from left to right. We know that k is divisible by n. Petya wants all boxes to have the same number of matches inside. For that, he can move a match from its box to the adjacent one in one move. How many such moves does he need to achieve the desired configuration?
Input
The first line contains integer n (1≤n≤50000). The second line contains n non-negative numbers that do not exceed 109, the i-th written number is the number of matches in the i-th matchbox. It is guaranteed that the total number of matches is divisible by n.
Output
Print the total minimum number of moves.
Examples
Input
6
1 6 2 5 3 7
Output
12