You are given an array of integers stones
where stones[i]
is the weight of the ith
stone.
We are playing a game with the stones. On each turn, we choose the heaviest two stones and smash them together. Suppose the heaviest two stones have weights x and y with x <= y. The result of this smash is:
- If
x == y
, both stones are destroyed, and - If
x != y
, the stone of weightx
is destroyed, and the stone of weighty
has new weighty - x
.
At the end of the game, there is at most one stone left.
Return the weight of the last remaining stone. If there are no stones left, return 0
.
Example
Input: stones = [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 the last stone.
Solution
Great recursive solution found here.
/**
* @param {number[]} stones
* @return {number}
*/
var lastStoneWeight = function (stones) {
//If there is only one stone left, return it
if (stones.length < 2) return stones;
//Sort the stones in ascending order
stones.sort((a, b) => a - b);
//Get the difference between the two heaviest stones
let a = stones.pop();
let b = stones.pop();
//Push the difference back into the array
stones.push(Math.abs(a - b));
//Recursively call the function until there is only one stone left
return lastStoneWeight(stones);
};