Max Sum Of Integers - c++

Question

EDIT: solved! I was treating negative numbers test case as 0, instead of having the output be negative as well. thanks for the help!
Here is the challenge description: https://www.codeeval.com/open_challenges/17/
I keep getting a partially solved score. I want to know why. As in my eyes, this code works. And I believe that it is O(N) time. Thanks for looking!
Here is my code:
#include <iostream>
#include <fstream>
#include <cstdlib>
#include <vector>
#include <string>
#include <sstream>
using namespace std;
int max(int a, int b)
{
if (a > b)
return a;
else return b;
}
int maxSubArray(vector<int> values)
{
int max_so_far = values[0];
int curr_max = values[0];
for(int i = 1; i < values.size(); ++i)
{
curr_max = max(values[i], curr_max + values[i]);
max_so_far = max(max_so_far, curr_max);
}
return max_so_far;
}
int main(int argc, char *argv[])
{
std::vector<vector<int> > Values; //to hold the values of the stock price change
ifstream file(argv[1]);
std::string line; //for the txt file input
int value = 0; //for holding the value of stock change
while (std::getline(file, line))
{
int pos = 0;
if(line.length() == 0)
continue;
else
{
std::istringstream iss(line);
std::vector<int> list; // temporary list of values to be pushed back into the 2-d vector
while (iss >> value)
{
list.push_back(value);
}
Values.push_back(list);
}
}
for(int i = 0; i < Values.size(); ++i)
{
cout << maxSubArray(Values[i]);
cout << endl;
}
/*
cout << " Printing the values : " << endl;
for (int j = 0; j < Values.size(); ++j)
{
for (int k = 0; k < Values[j].size(); ++k)
cout << Values[j][k] << " ";
cout << endl;
}
*/
return 0;
}

Answer 1

so I swapped out some code now. I get better score but I it's still a partial.
#include <iostream>
#include <fstream>
#include <cstdlib>
#include <vector>
using namespace std;
int max(int a, int b)
{
if (a > b)
return a;
else return b;
}
int maxSubArray(vector<int> values)
{
int max_so_far = values[0];
int curr_max = values[0];
if (curr_max < 0)
{
curr_max = 0;
max_so_far = 0;
}
for(int i = 1; i < values.size(); ++i)
{
curr_max = max(values[i], curr_max + values[i]);
curr_max = max(curr_max, 0);
max_so_far = max(max_so_far, curr_max);
}
return max_so_far;
}
int main(int argc, char *argv[])
{
std::vector<vector<int> > Values; //to hold the values of the stock price change
ifstream file(argv[1]);
std::string line; //for the txt file input
std::string token; //for the subtring that will be converted from char to int
int value = 0; //for holding the value of stock change
int count = 0;// for holding how many total cases
while (!file.eof())
{
int pos = 0;
getline(file, line);
if(line.length() == 0)
continue;
else
{
std::vector<int> list; // temporary list of values to be pushed back into the 2-d vector
while ((pos = line.find(",")) != std::string::npos )
{
token = line.substr(0,pos);
value = atoi(token.c_str());
line.erase(0, pos + 1);
list.push_back(value);
}
value = atoi(line.c_str());
list.push_back(value);
Values.push_back(list);
++count;
}
}
for(int i = 0; i < Values.size(); ++i)
{
cout << maxSubArray(Values[i]);
cout << endl;
}
cout << " Printing the values : " << endl;
for (int j = 0; j < Values.size(); ++j)
{
for (int k = 0; k < Values[j].size(); ++k)
cout << Values[j][k] << " ";
cout << endl;
}
return 0;
}

Answer 2

Why are you passing the vector by value here?
int maxSubArray(vector<int> values)
That looks like a significant optimization opportunity.
I think you don't read the problem exactly right. When they say 'all contiguous sub ararys', they mean you have to take the max over all i andj of for(idx = i; i < j; ++i) { total += vec[idx]; }. Right now your code basically assumes i = 0 which isn't what you are supposed to do.
Just from looking at the output examples they provide, I can see that your code isn't going to give the answer that they expect.

Answer 3

it seems right, the only thing I can think of is that when the list gets long, your result can overflow, so change int to long long.

Answer 4

Besides technical optimizations suggested in other answers, concerning the algorithm, i think a little fix can make your algorithm work. When curr_max drops to a negative value, due to encountering a negative integer that exceeds curr_max, you can simply drop all the previous integers including the current value and start over. This fix is simple, you can add one line to your loop like this:
for(int i = 1; i < values.size(); ++i)
{
curr_max = max(values[i], curr_max + values[i]);
curr_max = max(curr_max, 0); // <---------------- add this line
max_so_far = max(max_so_far, curr_max);
}