Hello everyone! Here is the description of my problem:

I am implementing a program in C++ that tests Prim's algorithm for finding minimum spanning trees. The objective of the program is calculating the number of seconds it takes to find the minimum spanning tree for a selected number of random graphs.

I finished the implementation of the functions and the header files for the whole program. Since the source code is small, i decided for clarity reasons to attach it with this mail in order to provide a better visualization of the problem.

For some reason, i have facing some sort of "out of range" vector problem during the run time of the application.

The problem is rising specifically in the lines of: 123 & 126 of the ("Prim_and_Kruskal_Algorithms.cpp") file.

I would be really grateful if anyone can help me spotting the problem. I have attached the source code with this question.

Thanks in advance for your help,

**The Program's Description:**I am implementing a program in C++ that tests Prim's algorithm for finding minimum spanning trees. The objective of the program is calculating the number of seconds it takes to find the minimum spanning tree for a selected number of random graphs.

**What i have done up to now?**I finished the implementation of the functions and the header files for the whole program. Since the source code is small, i decided for clarity reasons to attach it with this mail in order to provide a better visualization of the problem.

**The Problem:**For some reason, i have facing some sort of "out of range" vector problem during the run time of the application.

The problem is rising specifically in the lines of: 123 & 126 of the ("Prim_and_Kruskal_Algorithms.cpp") file.

**The Nature of the Current Source Code:**- The source code is without compiling errors or warning.

- It is properly documented with clear indentation.
- It is rather a short code.

**Requesting help:**I would be really grateful if anyone can help me spotting the problem. I have attached the source code with this question.

Thanks in advance for your help,