You are given two non-empty linked lists representing two non-negative integers. The most significant digit comes first and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.
You may assume the two numbers do not contain any leading zero, except the number 0 itself.
Follow up:
What if you cannot modify the input lists? In other words, reversing the lists is not allowed.
Example:
Input: (7 -> 2 -> 4 -> 3) + (5 -> 6 -> 4)
Output: 7 -> 8 -> 0 -> 7
Solution1:stack
Time Complexity: O(N) Space Complexity: O(N)
Solution2:recursive
要先计算出length,否则在递归中不好同步
Time Complexity: O(N) Space Complexity: O(N)
Solution1 Code:
class Solution {
public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
Stack<Integer> s1 = new Stack<>();
Stack<Integer> s2 = new Stack<>();
while(l1 != null) {
s1.push(l1.val);
l1 = l1.next;
}
while(l2 != null) {
s2.push(l2.val);
l2 = l2.next;
}
ListNode post = new ListNode(0);
int c = 0;
while(!s1.isEmpty() || !s2.isEmpty() || c != 0) {
int sum = 0;
if(!s1.isEmpty()) sum += s1.pop();
if(!s2.isEmpty()) sum += s2.pop();
sum += c;
post.val = sum % 10;
c = sum / 10;
ListNode node = new ListNode(0);
node.next = post;
post = node;
}
return post.val == 0 ? post.next : post;
}
}
Solution2 Code:
class Solution2 {
public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
int size1 = getLength(l1);
int size2 = getLength(l2);
ListNode head = new ListNode(1);
// Make sure l1.length >= l2.length
head.next = size1 < size2 ? helper(l2, l1, size2 - size1) : helper(l1, l2, size1 - size2);
// Handle the first digit
if (head.next.val > 9) {
head.next.val = head.next.val % 10;
return head;
}
return head.next;
}
// offset is the difference of length between l1 and l2
public ListNode helper(ListNode l1, ListNode l2, int offset) {
if (l1 == null) return null;
// check whether l1 becomes the same length as l2
ListNode result = offset == 0 ? new ListNode(l1.val + l2.val) : new ListNode(l1.val);
ListNode post = offset == 0 ? helper(l1.next, l2.next, 0) : helper(l1.next, l2, offset - 1);
// handle carry
int c = 0;
if(post != null) {
c = post.val / 10;
post.val = post.val % 10;
}
result.val += c;
// combine nodes
result.next = post;
return result;
}
// get length of the list
public int getLength(ListNode l) {
int count = 0;
while(l != null) {
l = l.next;
count++;
}
return count;
}
}