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

<p>In one move, we 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.</p>

<p>Return <em>the <strong>minimum</strong> number of moves required to make every node have <strong>exactly</strong> one coin</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2019/01/18/tree1.png" style="width: 250px; height: 236px;" />
<pre>
<strong>Input:</strong> root = [3,0,0]
<strong>Output:</strong> 2
<strong>Explanation: </strong>From the root of the tree, we move one coin to its left child, and one coin to its right child.
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2019/01/18/tree2.png" style="width: 250px; height: 236px;" />
<pre>
<strong>Input:</strong> root = [0,3,0]
<strong>Output:</strong> 3
<strong>Explanation: </strong>From the left child of the root, we move two coins to the root [taking two moves]. Then, we move one coin from the root of the tree to the right child.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li>The number of nodes in the tree is <code>n</code>.</li>
	<li><code>1 &lt;= n &lt;= 100</code></li>
	<li><code>0 &lt;= Node.val &lt;= n</code></li>
	<li>The sum of all <code>Node.val</code> is <code>n</code>.</li>
</ul>

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    int steps=0;
    int solve(TreeNode* root){
        if(root==NULL)return 0;
        int left=solve(root->left);
        int right=solve(root->right);
        steps+=abs(left)+abs(right);
        return (root->val-1)+left+right;
    }
    int distributeCoins(TreeNode* root) {
        solve(root);
        return steps;
    }
};
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