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二叉树-对称二叉树.md

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对称二叉树

LeetCode | 101. 对称二叉树 | 简单

给定一个二叉树,检查它是否是镜像对称的。

例如,二叉树 [1,2,2,3,4,4,3] 是对称的。

    1
   / \
  2   2
 / \ / \
3  4 4  3

但是下面这个 [1,2,2,null,3,null,3] 则不是镜像对称的:

    1
   / \
  2   2
   \   \
   3    3

递归

/**
 * 递归
 * 时间复杂度:O(n)
 * 空间复杂度:O(n)
 */
var isSymmetric = function (root) {
  if (!root === null) return true
  return compare(root.left, root.right)
}
function compare(left, right) {
  if (left === null && right === null) return true
  if (left === null || right === null) return false
  return (
    left.val === right.val &&
    compare(left.left, right.right) &&
    compare(left.right, right.left)
  )
}

迭代

/**
 * 广度遍历
 * 时间复杂度:O(n)
 * 空间复杂度:O(n)
 */
var isSymmetric = function (root) {
  const stack = [root.left, root.right]
  while (stack.length) {
    const right = stack.pop()
    const left = stack.pop()
    if (left && right) {
      if (left.val !== right.val) {
        return false
      }
      stack.push(left.left)
      stack.push(right.right)
      stack.push(left.right)
      stack.push(right.left)
    } else if (left || right) {
      return false
    }
  }
  return true
}