|
| 1 | +from typing import Optional, List |
| 2 | +from unittest import TestCase, main |
| 3 | +from heapq import heappush, heappop |
| 4 | + |
| 5 | + |
| 6 | +class TreeNode: |
| 7 | + def __init__(self, val=0, left=None, right=None): |
| 8 | + self.val = val |
| 9 | + self.left = left |
| 10 | + self.right = right |
| 11 | + |
| 12 | + |
| 13 | +class Solution: |
| 14 | + def kthSmallest(self, root: Optional[TreeNode], k: int) -> int: |
| 15 | + return self.solve_2(root, k) |
| 16 | + |
| 17 | + """ |
| 18 | + Runtime: 50 ms (Beats 25.03%) |
| 19 | + Analyze Complexity: O(n * log n), μνμ n, heap pushμ log n |
| 20 | + Memory: 19.55 MB (Beats 15.91%) |
| 21 | + """ |
| 22 | + def solve_1(self, root: Optional[TreeNode], k: int) -> int: |
| 23 | + visited = [] |
| 24 | + stack = [root] |
| 25 | + while stack: |
| 26 | + curr_node = stack.pop() |
| 27 | + heappush(visited, curr_node.val) |
| 28 | + if curr_node.left is not None: |
| 29 | + stack.append(curr_node.left) |
| 30 | + if curr_node.right is not None: |
| 31 | + stack.append(curr_node.right) |
| 32 | + |
| 33 | + result = visited[0] |
| 34 | + for _ in range(k): |
| 35 | + result = heappop(visited) |
| 36 | + |
| 37 | + return result |
| 38 | + |
| 39 | + """ |
| 40 | + Runtime: 43 ms (Beats 69.91%) |
| 41 | + Analyze Complexity: O(n) |
| 42 | + Memory: 19.46 MB (Beats 60.94%) |
| 43 | + """ |
| 44 | + def solve_2(self, root: Optional[TreeNode], k: int) -> int: |
| 45 | + vals = [] |
| 46 | + |
| 47 | + def inorder_traverse(root: Optional[TreeNode]): |
| 48 | + if root is None: |
| 49 | + return |
| 50 | + |
| 51 | + if len(vals) >= k: |
| 52 | + return |
| 53 | + |
| 54 | + inorder_traverse(root.left) |
| 55 | + vals.append(root.val) |
| 56 | + inorder_traverse(root.right) |
| 57 | + |
| 58 | + inorder_traverse(root) |
| 59 | + return vals[k - 1] |
| 60 | + |
| 61 | + |
| 62 | +class _LeetCodeTCs(TestCase): |
| 63 | + def test_1(self): |
| 64 | + root = TreeNode( |
| 65 | + val=3, |
| 66 | + left=TreeNode( |
| 67 | + val=1, |
| 68 | + left=None, |
| 69 | + right=TreeNode( |
| 70 | + val=2, |
| 71 | + left=None, |
| 72 | + right=None, |
| 73 | + ) |
| 74 | + ), |
| 75 | + right=TreeNode( |
| 76 | + val=4, |
| 77 | + left=None, |
| 78 | + right=None |
| 79 | + ) |
| 80 | + ) |
| 81 | + |
| 82 | + k = 1 |
| 83 | + output = 1 |
| 84 | + self.assertEqual(Solution.kthSmallest(Solution(), root, k), output) |
| 85 | + |
| 86 | + def test_2(self): |
| 87 | + root = TreeNode( |
| 88 | + val=5, |
| 89 | + left=TreeNode( |
| 90 | + val=3, |
| 91 | + left=TreeNode( |
| 92 | + val=2, |
| 93 | + left=TreeNode( |
| 94 | + val=1 |
| 95 | + ) |
| 96 | + ), |
| 97 | + right=TreeNode( |
| 98 | + val=4 |
| 99 | + ) |
| 100 | + ), |
| 101 | + right=TreeNode( |
| 102 | + val=6 |
| 103 | + ) |
| 104 | + ) |
| 105 | + k = 3 |
| 106 | + output = [3] |
| 107 | + self.assertEqual(Solution.kthSmallest(Solution(), root, k), output) |
| 108 | + |
| 109 | + |
| 110 | +if __name__ == '__main__': |
| 111 | + main() |
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