C++ 合并排序实现中抛出的 std::out_of_range 异常

下面是我在 C++ 中实现的归并排序。为了方便调试，我采用了较小的输入尺寸。在纠正了导致抛出 std::out_of_range 异常的小错误后，合并排序代码仍然无法工作。

#include <iostream>
#include <chrono>
#include <fstream>
#include <vector>

using namespace std;
using namespace std::chrono;

void mergeSort(vector<long>, long, long);
void merge(vector<long>, long, long, long);
void sortf(long);
void print(long);

void print(long n) //prints n random numbers in a file
{
    ofstream of("List.txt");
    long i;
    for (i = 0; i < n; i++)
    {
        long x = rand() % n + 1;
        of << x << endl;
    }
    of.close();
}

void sortf(long x) //calls the merge sort function and sends it array of elements which
{ //were previously stored in the file and outputs sorted values to another file
    vector<long> arr;
    ifstream f("List.txt");
    long i = 0;
    long line;
    while (i < x)
    {
        f >> line;
        arr.push_back(line);
        i++;
    }
    high_resolution_clock::time_point t1 = high_resolution_clock::now();

    long len = arr.size() - 1;
    mergeSort(arr, 0, len); //calls merge sort

    high_resolution_clock::time_point t2 = high_resolution_clock::now();
    auto duration = duration_cast<nanoseconds>(t2 - t1).count();
    cout << "\nTime taken:\n" << duration << " nanoseconds.\n"; //outputs time taken 
    ofstream of("ListOut3.txt");
    for (i = 0; i < x; i++)
    {
        cout << arr.at(i) << endl;
    }
    for (i = 0; i < x; i++)
    {
        of << arr.at(i) << endl;
    }
}

void mergeSort(vector<long> arr, long l, long r)
{
    long n = arr.size();
    if (l >= r) //Base condition to stop recursion
    {
        return;
    }

    long mid = (l + r) / 2; //calculates mid position for partitioning

    mergeSort(arr, l, mid);
    mergeSort(arr, (mid + 1), r);
    merge(arr, l, mid, r);
}

void merge(vector<long> arr, long l, long mid, long r) //applies merging
{
    vector<long> lv;
    vector<long> rv;

    int p;

    for (p = l; p < mid; p++)
    {
        lv.push_back(arr.at(p));
    }
    for (p = mid; p < r; p++)
    {
        rv.push_back(arr.at(p)); //Error Solved
    }

    long l1 = lv.size();
    long l2 = rv.size();

    long i = 0, j = 0, k = 0;

    while (i < l1 && j < l2)
    {
        if (lv.at(i) < rv.at(j))
        {
            arr.at(k) = lv.at(i);
            i++;
        }
        else
        {
            arr.at(k) = rv.at(j);
            j++;
        }
        k++;
    }
    while (i < l1)
    {
        arr.at(k) = lv.at(i);
        k++;
        i++;
    }
    while (j < l2)
    {
        arr.at(k) = rv.at(j);
        k++;
        j++;
    }
}

int main()
{
    long n = 4;
    print(n); //printing n numbers in the file
    sortf(n);
}

程序的确切输出是：

Time taken:
6897 nanoseconds.
4
3
2
4

请帮我找出原因，因为我是 STL 和向量的新手。