/**
* @file
* @brief Efficient implementation for maximum contiguous subarray sum by
* [Kadane's
* algorithm](https://www.geeksforgeeks.org/largest-sum-contiguous-subarray/).
* @details
* Our task is to take length of array and then the whole array as input from
* the user and then calculate the maximum contiguos subarray sum for the
* input array, using the kadane's algorithm.
*
* There can be a case that all the elements in the input array are negative.
* In that case, the least value among all elements is the maximum sum with
* subarray length = 1.
* @author [Abhijeet Tiwari](https://github.com/thisabhijeet)
*/
#include <array> /// for std::array
#include <cassert> /// for assert
#include <climits> /// for INT_MIN value
#include <iostream> /// for IO operations
/**
* @brief Utility function to check the current maximum number
* \param arr input array
* \param length length of the input array
* \returns maximum contiguous subarray sum
*/
template <std::size_t SIZE>
int max_subarray_sum(std::array<int64_t, SIZE> arr, uint64_t length) {
int64_t current_max = INT_MIN, current_sum = 0;
for (int i = 0; i < length; i++) {
current_sum = current_sum + arr[i];
if (current_max < current_sum) {
current_max = current_sum;
}
if (current_sum < 0) {
current_sum = 0;
}
}
return current_max;
}
/**
* @brief Self-test implementations
* @returns void
*/
static void test() {
std::array<int64_t, 4> arr = {1, 2, 3, 4};
std::array<int64_t, 5> arr1 = {-1, -2, -4, -6, 7};
assert(max_subarray_sum(arr, 4) == 10);
assert(max_subarray_sum(arr1, 5) == 7);
std::cout << "All test cases have passed!\n";
}
/**
* @brief Main function
* @returns 0 on exit
*/
int main() {
// Below is the code for accepting array from the user and then
// calling the function for the required output.
// It has been commented for now so that the test() function can run
// and the test cases can be verified.
// code for accepting array from user starts
// std::size_t n; // variable for length of input array
// std::cout << "Enter length of the array: ";
// std::cin >> n;
// std::array<int64_t, 100> arr = {0};
// // we need to give a constant in size. Hence we have allocated 100
// for now.
// for (int i = 0; i < n; i++)
// taking input of each element of the array
// {
// std::cin >> arr[i];
// }
// code for accepting array from user ends
// int max_sum = max_subarray_sum(arr, n);
// std::cout << "Maximum contiguous sum for this array is : " << max_sum
// << std::endl;
test(); // run self-test implementations
return 0;
}