title: Number Rectangles Nm Grid
signature: int numberRectanglesNmGrid(int n, int m) {
test_code: #include <algorithm>
  #include <assert.h>
  #include <cstdlib>
  #include <iostream>
  #include <map>
  #include <set>
  #include <string>
  #include <tuple> 
  #include <unordered_map>
  #include <vector>
  #include <math.h>
  #include <cmath>
  #include <bits/stdc++.h>
  #include <numeric>
  #include <functional>
  
  using namespace std;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  bool validateSolution(int actual, int expected){
      return actual == expected;
  }
  
  string driver(int n, int m, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(n, m), expected)){
              return "PASSED";
          }
          return "FAILED";
      }
      catch (const std::overflow_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::runtime_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::exception& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (...)
      {
          return "UNK_ERROR";
      }
  }
  
  int main() {
      string result = "";
  
      result = driver(86, 70, 9296385); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(33, 65, 1203345); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(3, 5, 90); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(91, 12, 326508); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(33, 27, 212058); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(13, 75, 259350); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(75, 36, 1898100); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(58, 64, 3558880); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(50, 51, 1690650); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(4, 44, 9900); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def number_rectangles_nm_grid(n, m):
      return ((((m * n) * (n + 1)) * (m + 1)) // 4)
source_cpp: int number_rectangles_nm_grid(int n, int m) {
    return ( m * n * ( n + 1 ) * ( m + 1 ) ) / 4;
  }