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# Binary Tree Most Path Sum Program in Go (Golang)

A  binary tree is given. The target is to search out the utmost Path Sum in that binary tree.  A path in a binary tree is a sequence of nodes which might be related to one another. Every node solely seems as soon as within the Most Path Sum

Instance 1

``````Output: 16
Most Sum Path is: 4->2->1->3->6``````

Instance 2

``````Output: 14
Most Sum Path is: 5->3->6``````

The concept is to trace beneath 4  values at each node

• b = root.Val + leftSubTreeMaxSum
• c  = root.Val + rightSubTreeMaxSum
• d =  root.Val + leftSubTreeMaxSum+  rightSubTreeMaxSum

Then

• Max sum at a given node is given max of (a,b,c,d)
• The return worth within the recursive name can be a max of (a,b,c).  Why? It’s because solely the trail of a or b or c represents a path that may be taken into consideration on the guardian node. d can’t be taken into consideration as a result of it turns into an invalid path. To know this with an instance think about the binary tree in instance two above. Path 5->3->6 can’t embody guardian node -5 in its path as a result of it turns into an invalid path.

Under is this system for a similar

``````bundle foremost

import (
"fmt"
"math"
)

kind TreeNode struct {
Val   int
Left  *TreeNode
Proper *TreeNode
}

func maxPathSum(root *TreeNode) int {
res := math.MinInt64

maxPathSumUtil(root, &res)
return res
}

func maxPathSumUtil(root *TreeNode, res *int) int {
if root == nil {
return 0
}

l := maxPathSumUtil(root.Left, res)
r := maxPathSumUtil(root.Proper, res)

a := root.Val
b := root.Val + l
c := root.Val + r
d := root.Val + l + r

maxReturnSum := maxOfThree(a, b, c)

maxSumPath := maxOfTwo(maxReturnSum, d)
if maxSumPath > *res {
*res = maxSumPath
}

return maxReturnSum
}

func maxOfThree(a, b, c int) int {
if a > b && a > c {
return a
}

if b > c {
return b
}

return c
}

func maxOfTwo(a, b int) int {
if a > b {
return a
}
return b
}

func foremost() {
root := &TreeNode{Val: 1}
root.Left = &TreeNode{Val: 2}
root.Left.Left = &TreeNode{Val: 4}
root.Proper = &TreeNode{Val: 3}
root.Proper.Left = &TreeNode{Val: 5}
root.Proper.Proper = &TreeNode{Val: 6}

output := maxPathSum(root)
fmt.Println(output)

root = &TreeNode{Val: -10}
root.Left = &TreeNode{Val: 2}
root.Left.Left = &TreeNode{Val: 4}
root.Proper = &TreeNode{Val: 3}
root.Proper.Left = &TreeNode{Val: 5}
root.Proper.Proper = &TreeNode{Val: 6}
output = maxPathSum(root)
fmt.Println(output)

}``````

Output:

``````16
14``````

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