As mentioned in the previous lecture, using the STL in C++, sort the given numbers in the input.txt file by only using Heap data container. Your sorted numbers should be written to the output.txt file.

Warnings

• In the input file, there are just integer numbers. The amount of integer numbers is not given to you. So, read the N integers in the input.txt file up to EOF.
• Create your input.txt file by yourself.
• Your codes can run over any input file.
• After execution, your code should generate the output.txt file in which there are sorted numbers.
• Your codes can be tested with an input file which contains 1 million random numbers.
• Execution Time < 1 sec.
• Memory limit < 64 MB