updating checkpoint 3
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@@ -36,7 +36,25 @@ Linked List of NodeB nodes: 1 -> 1.41421 -> 1.73205 -> 2 -> 2.23607 -> nullptr
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**To complete this checkpoint**, show a TA the implementation and the output of your program.
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## Checkpoint 3: Debugging a Merge Sort program.
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## Checkpoint 3: Merge Two Lists.
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*estimate: 30-40 minutes*
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Given two doubly-linked lists: linked list A and linked list B, and both linked lists are sorted. Data in linked list A is sorted in an ascending order. Data in linked list B is also sorted in an ascending order. Merge these two lists such that the data in the merged list is still sorted in an ascending order.
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More specifically, complete the mergeLists() function in [checkpoint3.cpp](checkpoint3.cpp), such that the program prints the following output.
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```console
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$ g++ checkpoint3.cpp
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$ ./a.out
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1 3 5 7 9
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2 4 6 8 10
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1 2 3 4 5 6 7 8 9 10
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10 9 8 7 6 5 4 3 2 1
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```
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**To complete this checkpoint**, explain to a TA your implementation and show the output of your program.
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<!--## Checkpoint 3: Debugging a Merge Sort program.
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*estimate: 30-40 minutes*
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We expect our program [checkpoint3.cpp](checkpoint3.cpp) to produce the following results when it is compiled and run.
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@@ -54,4 +72,4 @@ Sorted Vector: 2 3 4 7 8
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But this program currently does not behave as expected. Troubleshoot this program, find the problems and fix them. You can use a debugger.
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**To complete this checkpoint**, explain to a TA the bugs you found, show a TA your fixes and run the program to show that your fixes are correct and the program now produces the expected results.
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**To complete this checkpoint**, explain to a TA the bugs you found, show a TA your fixes and run the program to show that your fixes are correct and the program now produces the expected results.-->
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@@ -1,107 +1,93 @@
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#include <iostream>
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#include <vector>
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// prototype of the sorting function
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std::vector<int> sortVector(std::vector<int>& nums);
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template <class T>
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class Node {
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public:
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T value;
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Node<T>* next;
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Node<T>* prev;
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// function to print the elements of a vector
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void printVector(const std::vector<int>& nums) {
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for (int num : nums) {
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std::cout << num << " ";
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}
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std::cout << std::endl;
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// constructor
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Node(T val) : value(val), next(nullptr), prev(nullptr) {}
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};
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// function to merge two sorted doubly linked lists
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template <class T>
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Node<T>* mergeLists(Node<T>* head_A, Node<T>* head_B) {
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}
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int main() {
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// test case 1
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std::vector<int> test1 = {5, 2, 9, 1, 5, 6};
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std::vector<int> result1 = sortVector(test1);
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std::cout << "Test Case 1: Original Vector: ";
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printVector(test1);
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std::cout << "Sorted Vector: ";
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printVector(result1);
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// create 5 nodes and link them to form a linked list, this is linked list A.
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Node<int>* head_A = new Node<int>(1);
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Node<int>* second_A = new Node<int>(3);
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Node<int>* third_A = new Node<int>(5);
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Node<int>* fourth_A = new Node<int>(7);
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Node<int>* fifth_A = new Node<int>(9);
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// link the nodes
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head_A->next = second_A;
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second_A->prev = head_A;
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second_A->next = third_A;
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third_A->prev = second_A;
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third_A->next = fourth_A;
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fourth_A->prev = third_A;
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fourth_A->next = fifth_A;
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fifth_A->prev = fourth_A;
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// traverse linked list A and print the values
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Node<int>* current = head_A;
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while (current != nullptr) {
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std::cout << current->value << " ";
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current = current->next;
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}
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std::cout << std::endl;
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// test case 2
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std::vector<int> test2 = {3, 8, 2, 7, 4};
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std::vector<int> result2 = sortVector(test2);
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std::cout << "Test Case 2: Original Vector: ";
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printVector(test2);
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std::cout << "Sorted Vector: ";
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printVector(result2);
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// create 5 nodes and link them to form a linked list, this is linked list B.
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Node<int>* head_B = new Node<int>(2);
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Node<int>* second_B = new Node<int>(4);
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Node<int>* third_B = new Node<int>(6);
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Node<int>* fourth_B = new Node<int>(8);
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Node<int>* fifth_B = new Node<int>(10);
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// link the nodes
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head_B->next = second_B;
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second_B->prev = head_B;
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second_B->next = third_B;
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third_B->prev = second_B;
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third_B->next = fourth_B;
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fourth_B->prev = third_B;
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fourth_B->next = fifth_B;
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fifth_B->prev = fourth_B;
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// traverse linked list B and print the values
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current = head_B;
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while (current != nullptr) {
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std::cout << current->value << " ";
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current = current->next;
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}
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std::cout << std::endl;
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Node<int>* head_C;
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Node<int>* tail_C;
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head_C = mergeLists(head_A, head_B);
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// traverse linked list C and print the values
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current = head_C;
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while (current != nullptr) {
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std::cout << current->value << " ";
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// keep tracking current and when current reaches nullptr, tail_C will be the tail node.
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tail_C = current;
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current = current->next;
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}
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std::cout << std::endl;
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// traverse linked list C backwards and print the values
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current = tail_C;
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while (current != nullptr) {
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std::cout << current->value << " ";
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current = current->prev;
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}
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std::cout << std::endl;
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return 0;
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}
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// merge two vectors which are already sorted
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std::vector<int>& mergeVectors(std::vector<int>& v1, std::vector<int>& v2){
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int size1 = v1.size();
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int size2 = v2.size();
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std::vector<int> v(size1+size2, 0);
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int index1 = 0;
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int index2 = 0;
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int index = 0;
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// traverse v1 and v2 at the same time
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while(index1<size1 && index2<size2){
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// whoever is smaller goes to v
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if(v1[index1]<v2[index2]){
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v[index] = v1[index1];
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index1 = index1 + 1;
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}else{
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v[index] = v2[index2];
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index2 = index2 + 1;
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}
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index = index + 1;
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}
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// if v1 is done, let's now deal with v2 left overs
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if(index1>=size1){
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while(index2<size2){
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v[index] = v2[index2];
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index++;
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index2++;
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}
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}else{
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// else means v2 is done. let's now deal with v1 left overs
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while(index1<size1){
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v[index] = v1[index1];
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index++;
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index1++;
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}
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}
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return v;
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}
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// sort a vecotr of integers
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std::vector<int> sortVector(std::vector<int>& nums) {
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int size = nums.size();
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// base case
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if(size==1){
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return nums;
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}
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// general case
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// split the vector into two halves.
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int mid = size/2;
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// nums1 to store the first half, and nums2 to store the second half.
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std::vector<int> nums1;
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std::vector<int> nums2;
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// copy the first half
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for(int i=0;i<mid;i++){
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nums1[i]=nums[i];
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}
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// copy the second half
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for(int i=mid;i<size;i++){
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nums2[i]=nums[i];
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}
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// make the recursive calls
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nums1 = sortVector(nums1);
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nums2 = sortVector(nums2);
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// now that the two vectors are already sorted, let's merge them
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return mergeVectors(nums1, nums2);
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}
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