Overloading new operator and not using Free

#include <bits/stdc++.h>

char myHeap[1 << 20];
int sz = 0;

void* operator new  ( std::size_t count ) {
  std::cout << "Operator new is called, count = " << count << std::endl;
  sz += count;
  return myHeap + sz - count;
}
// it's necessary as call to delete will be made to deallocate memory
// allocated by new, since we allocated memory from array we need not
// to free it in delete function since the array is going to destroy itself
// void operator delete (void *ptr) {}
void operator delete (void *ptr) {
  std::cout << "Operator delete is called" << std::endl;
}

std::string s;
int main() {
  for (char c = 'a'; c <= 'z'; c++) {
    std::cout << "Adding char '" << c << "' to string" << std::endl;
    s.push_back(c);
  }
  // own *p = new own();
  return 0;
}