Leetcode: Last Stone Weight

Last Stone Weight



Similar Problems:


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:

  • If x == y, both stones are totally destroyed;
  • If x != y, the stone of weight x is totally destroyed, and the stone of weight y has new weight y-x.

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:

  1. 1 <= stones.length <= 30
  2. 1 <= stones[i] <= 1000

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.


  • Solution:
// Blog link: https://code.dennyzhang.com/last-stone-weight
// Basic Idea: heap
// Complexity: Time O(n*log(n)), Space O(n)
import (
        "container/heap"
        "fmt"
)

// An IntHeap is a max-heap of ints.
type IntHeap []int

func (h IntHeap) Len() int           { return len(h) }
func (h IntHeap) Less(i, j int) bool { return h[i] > h[j] }
func (h IntHeap) Swap(i, j int)      { h[i], h[j] = h[j], h[i] }

func (h *IntHeap) Push(x interface{}) {
        // Push and Pop use pointer receivers because they modify the slice's length,
        // not just its contents.
        *h = append(*h, x.(int))
}

func (h *IntHeap) Pop() interface{} {
        old := *h
        n := len(old)
        x := old[n-1]
        *h = old[0 : n-1]
        return x
}

func lastStoneWeight(stones []int) int {
    h := &IntHeap{}
    heap.Init(h)
    for _, val := range stones {
        heap.Push(h, val)
    }

    for h.Len() > 1 {
        v1, _ := heap.Pop(h).(int)
        v2, _ := heap.Pop(h).(int)
        heap.Push(h, v1-v2)
    }

    res, _ := heap.Pop(h).(int)
    return res
}
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