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Description

We have a collection of rocks, each rock has a positive integer weight.

Each turn, we choose the two heaviest rocks and smash them together.  Suppose the stones have weights x and y with x <= y.  The result of this smash is:

    <li>If <code>x == y</code>, both stones are totally destroyed;</li>
    
    <li>If <code>x != y</code>, the stone of weight <code>x</code> is totally destroyed, and the stone of weight <code>y</code> has new weight <code>y-x</code>.</li>
    

At the end, there is at most 1 stone left.  Return the weight of this stone (or 0 if there are no stones left.)

 

Example 1:

Input: [2,7,4,1,8,1]

Output: 1

Explanation: 

We combine 7 and 8 to get 1 so the array converts to [2,4,1,1,1] then,

we combine 2 and 4 to get 2 so the array converts to [2,1,1,1] then,

we combine 2 and 1 to get 1 so the array converts to [1,1,1] then,

we combine 1 and 1 to get 0 so the array converts to [1] then that's the value of last stone.

 

Note:

    <li><code>1 &lt;= stones.length &lt;= 30</code></li>
    
    <li><code>1 &lt;= stones[i] &lt;= 1000</code></li>
    

Solutions

Python3

Java

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