Distribute Coins in Binary Tree

You are given the root of a binary tree with n nodes where each node in the tree has node.val coins. There are n coins in total throughout the whole tree.

In one move, you may choose two adjacent nodes and move one coin from one node to another. A move may be from parent to child, or from child to parent.

Return the minimum number of moves required to make every node have exactly one coin.

Example 1
        3
       / \
      0   0
Inputroot = [3,0,0]
Output2
From the root of the tree, we move one coin to its left child and one coin to its right child.
Example 2
        0
       / \
      3   0
Inputroot = [0,3,0]
Output3
From the left child of the root, we move two coins to the root, then move one coin from the root to the right child.

Constraints

  • The number of nodes in the tree is n.
  • 1 <= n <= 100
  • 0 <= Node.val <= n
  • The sum of all Node.val is n.

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