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517. Super Washing Machines

You have n super washing machines on a line. Initially, each washing machine has some dresses or is empty.

For each move, you could choose any m (1 ≤ m ≤ n) washing machines, and pass one dress of each washing machine to one of its adjacent washing machines at the same time .

Given an integer array representing the number of dresses in each washing machine from left to right on the line, you should find the minimum number of moves to make all the washing machines have the same number of dresses. If it is not possible to do it, return -1.

Example1 

Input: [1,0,5]

Output: 3

Explanation:
1st move:    1     0 <-- 5    =>    1     1     4
2nd move:    1 <-- 1 <-- 4    =>    2     1     3
3rd move:    2     1 <-- 3    =>    2     2     2

Example2 

Input: [0,3,0]

Output: 2

Explanation:
1st move:    0 <-- 3     0    =>    1     2     0
2nd move:    1     2 --> 0    =>    1     1     1

Example3 

Input: [0,2,0]

Output: -1

Explanation:
It's impossible to make all the three washing machines have the same number of dresses.

Note:

  1. The range of n is [1, 10000].
  2. The range of dresses number in a super washing machine is [0, 1e5].

Difficulty:

Hard

Lock:

Normal

Company:

Amazon

Problem Solution

517-Super-Washing-Machines

All Problems:

Link to All Problems
All contents and pictures on this website come from the Internet and are updated regularly every week. They are for personal study and research only, and should not be used for commercial purposes. Thank you for your cooperation.