|
| 1 | +from typing import List, Optional |
| 2 | +from heapq import heappush, heappop |
| 3 | + |
| 4 | +# Definition for singly-linked list. |
| 5 | +class ListNode: |
| 6 | + def __init__(self, val=0, next=None): |
| 7 | + self.val = val |
| 8 | + self.next = next |
| 9 | + |
| 10 | +class Solution: |
| 11 | + """ |
| 12 | + - Time Complexity: O(nlogk) |
| 13 | + - n = Total number of nodes in lists |
| 14 | + - k = The number of linked lists = len(lists) |
| 15 | + - Space Complexity: O(k) |
| 16 | + - Heap stores at most k elements at any time |
| 17 | + """ |
| 18 | + def mergeKLists(self, lists: List[Optional[ListNode]]) -> Optional[ListNode]: |
| 19 | + heap = [] |
| 20 | + |
| 21 | + for i, node in enumerate(lists): |
| 22 | + if node: |
| 23 | + heappush(heap, (node.val, i, node)) |
| 24 | + |
| 25 | + dummy = ListNode(0) |
| 26 | + tail = dummy |
| 27 | + |
| 28 | + while heap: |
| 29 | + val, i, node = heappop(heap) |
| 30 | + tail.next = node |
| 31 | + tail = node |
| 32 | + if node.next: |
| 33 | + heappush(heap, (node.next.val, i, node.next)) |
| 34 | + |
| 35 | + return dummy.next |
| 36 | + |
| 37 | +### TC Helpers ### |
| 38 | +def build_linked_list(values): |
| 39 | + dummy = ListNode(0) |
| 40 | + current = dummy |
| 41 | + for v in values: |
| 42 | + current.next = ListNode(v) |
| 43 | + current = current.next |
| 44 | + return dummy.next |
| 45 | + |
| 46 | +def linked_list_to_list(node): |
| 47 | + result = [] |
| 48 | + while node: |
| 49 | + result.append(node.val) |
| 50 | + node = node.next |
| 51 | + return result |
| 52 | + |
| 53 | +### DO TEST ### |
| 54 | +def do_test(): |
| 55 | + sol = Solution() |
| 56 | + |
| 57 | + # TC 1 |
| 58 | + lists = [ |
| 59 | + build_linked_list([1, 4, 5]), |
| 60 | + build_linked_list([1, 3, 4]), |
| 61 | + build_linked_list([2, 6]) |
| 62 | + ] |
| 63 | + e = [1, 1, 2, 3, 4, 4, 5, 6] |
| 64 | + merged = sol.mergeKLists(lists) |
| 65 | + r = linked_list_to_list(merged) |
| 66 | + print(f"TC 1 is Passed!" if r == e else f"TC 1 is Failed! - Expected: {e}, Result: {r}") |
| 67 | + |
| 68 | + # TC 2 |
| 69 | + lists = [ |
| 70 | + build_linked_list([]), |
| 71 | + build_linked_list([1]), |
| 72 | + build_linked_list([]) |
| 73 | + ] |
| 74 | + e = [1] |
| 75 | + merged = sol.mergeKLists(lists) |
| 76 | + r = linked_list_to_list(merged) |
| 77 | + print(f"TC 2 is Passed!" if r == e else f"TC 2 is Failed! - Expected: {e}, Result: {r}") |
| 78 | + |
| 79 | + # TC 3 |
| 80 | + lists = [] |
| 81 | + e = [] |
| 82 | + merged = sol.mergeKLists(lists) |
| 83 | + r = linked_list_to_list(merged) |
| 84 | + print(f"TC 3 is Passed!" if r == e else f"TC 3 is Failed! - Expected: {e}, Result: {r}") |
| 85 | + |
| 86 | +do_test() |
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