[LeetCode]Minimum Cost Tree From Leaf Values@Golang

Minimum Cost Tree From Leaf Values
Given an array arr of positive integers, consider all binary trees such that:

Each node has either 0 or 2 children;
The values of arr correspond to the values of each leaf in an in-order traversal of the tree. (Recall that a node is a leaf if and only if it has 0 children.)
The value of each non-leaf node is equal to the product of the largest leaf value in its left and right subtree respectively.
Among all possible binary trees considered, return the smallest possible sum of the values of each non-leaf node. It is guaranteed this sum fits into a 32-bit integer.

Example

Input: arr = [6,2,4]
Output: 32
Explanation:
There are two possible trees. The first has non-leaf node sum 36, and the second has non-leaf node sum 32.

Solution

import "math"
func mctFromLeafValues(arr []int) int {
    n := len(arr)
    stack, top, mid := make([]int, n+1), 0, 0
    stack[top] = math.MaxInt64
    ret := 0
    for _, a := range arr {
        for stack[top]<= a {
            mid, top = stack[top], top-1
            ret += mid*min(stack[top], a)
        }
        stack[top+1], top = a, top+1
    }
    
    for top>=2{
        mid, top = stack[top], top-1
        ret += stack[top]*mid
    }
    return ret
}

func min(a,b int)int {
    if a<b{
        return a
    }
    return b
}
發表評論
所有評論
還沒有人評論,想成為第一個評論的人麼? 請在上方評論欄輸入並且點擊發布.
相關文章