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160. Intersection of Two Linked Lists(找出兩個鏈表的交點)

兩個指針 etc section 時間 sin target run struct tput

Write a program to find the node at which the intersection of two singly linked lists begins.

For example, the following two linked lists:

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begin to intersect at node c1.

Example 1:

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Input: intersectVal = 8, listA = [4,1,8,4,5], listB = [5,0,1,8,4,5], skipA = 2, skipB = 3
Output: Reference of the node with value = 8
Input Explanation: The intersected node‘s value is 8 (note that this must not be 0 if the two lists intersect). From the head of A, it reads as [4,1,8,4,5]. From the head of B, it reads as [5,0,1,8,4,5]. There are 2 nodes before the intersected node in A; There are 3 nodes before the intersected node in B.

Example 2:

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Input: intersectVal = 2, listA = [0,9,1,2,4], listB = [3,2,4], skipA = 3, skipB = 1
Output: Reference of the node with value = 2
Input Explanation: The intersected node‘s value is 2 (note that this must not be 0 if the two lists intersect). From the head of A, it reads as [0,9,1,2,4]. From the head of B, it reads as [3,2,4]. There are 3 nodes before the intersected node in A; There are 1 node before the intersected node in B.

Example 3:

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Input: intersectVal = 0, listA = [2,6,4], listB = [1,5], skipA = 3, skipB = 2
Output: null
Input Explanation: From the head of A, it reads as [2,6,4]. From the head of B, it reads as [1,5]. Since the two lists do not intersect, intersectVal must be 0, while skipA and skipB can be arbitrary values.
Explanation: The two lists do not intersect, so return null.

Notes:

  • If the two linked lists have no intersection at all, return null.
  • The linked lists must retain their original structure after the function returns.
  • You may assume there are no cycles anywhere in the entire linked structure.
  • Your code should preferably run in O(n) time and use only O(1) memory.

分析:鏈表a的長度a+c,鏈表b的長度:b+c 。鏈表重合部分的長度是:c

那麽如果指向a的指針走過長度是:a+c+b

    指向b的指針走過的長度是:b+c+a

的時候兩個指針指向 的下一個結點就是第一個公共鏈的結點。(不然就是空節點,沒有公共鏈)

時間復雜度:o(n+m) 空間復雜度:o(1)

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160. Intersection of Two Linked Lists(找出兩個鏈表的交點)