title: Maximize Volume Cuboid Given Sum Sides
signature: int maximizeVolumeCuboidGivenSumSides(int s) {
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 s, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(s), 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(67, 11132); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(48, 4096); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(59, 7600); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(22, 392); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(14, 100); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(66, 10648); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(1, 0); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(75, 15625); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(58, 7220); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(78, 17576); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def maximize_volume_cuboid_given_sum_sides(s):
      maxvalue = 0
      i = 1
      for i in range((s - 1)):
          j = 1
          for j in range(s):
              k = ((s - i) - j)
              maxvalue = max(maxvalue, ((i * j) * k))
      return maxvalue
source_cpp: int maximize_volume_cuboid_given_sum_sides(int s) {
    int maxvalue = 0;
    for ( int i = 1;
    i <= s - 2;
    i ++ ) {
      for ( int j = 1;
      j <= s - 1;
      j ++ ) {
        int k = s - i - j;
        maxvalue = max ( maxvalue, i * j * k );
      }
    }
    return maxvalue;
  }