Write a program to find the node at which the intersection of two singly linked lists begins.
For example, the following two linked lists:
A: —— a1 → a2
———————- ↘
———————— c1 → c2 → c3
———————–↗
B: b1 → b2 → b3
begin to intersect at node c1.
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.
非常优雅的解决方案:
ListNode *getIntersectionNode(ListNode *headA, ListNode *headB)
{
ListNode *p1 = headA;
ListNode *p2 = headB;
if (p1 == NULL || p2 == NULL) return NULL;
while (p1 != NULL && p2 != NULL && p1 != p2)
{
p1 = p1->next;
p2 = p2->next;
//
// Any time they collide or reach end together without colliding
// then return any one of the pointers.
//
if (p1 == p2) return p1;
//
// If one of them reaches the end earlier then reuse it
// by moving it to the beginning of other list.
// Once both of them go through reassigning,
// they will be equidistant from the collision point.
//
if (p1 == NULL) p1 = headB;
if (p2 == NULL) p2 = headA;
}
return p1;
//上面似乎不需要,上面的路径应该都有返回值,要不要都ac
}
python解决方案:
# Definition for singly-linked list.
# class ListNode:
# def __init__(self, x):
# self.val = x
# self.next = None
class Solution:
# @param two ListNodes
# @return the intersected ListNode
def getIntersectionNode(self, headA, headB):
curA,curB = headA,headB
lenA,lenB = 0,0
while curA is not None:
lenA += 1
curA = curA.next
while curB is not None:
lenB += 1
curB = curB.next
curA,curB = headA,headB
if lenA > lenB:
for i in range(lenA-lenB):
curA = curA.next
elif lenB > lenA:
for i in range(lenB-lenA):
curB = curB.next
while curB != curA:
curB = curB.next
curA = curA.next
return curA
/*
The solution is straightforward: maintaining two pointers in the lists under the constraint that both lists have the same number of nodes starting from the pointers. We need to calculate the length of each list though. So O(N) for time and O(1) for space.
*/

本文提供了一种高效的方法来找到两个单链表开始相交的节点。通过使用两个指针分别遍历两个链表,当两个指针相遇时即找到了交点。此方法确保了链表的原始结构不受影响,并且代码复杂度为O(n),空间复杂度为O(1)。
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