/**
* @file nqueens.cpp
* @brief Implements the functions for solving the nqueens problem in.
*
*/

#include "nqueens.h"
#include <cmath>

/*********************************************************************
*                Implement your solutions here!                *
*********************************************************************/

/**
* @brief Generates the solutions for the n-queen problem in a specified range.
*
*
* This function will search for all valid solutions in the range
* [start_level,max_level). This assumes that the partial solution for levels
* [0,start_level) is a valid solution.
*
* The master and the workers will both use this function with different parameters.
* The master will call the function with start_level=0 and max_level=k, and the
* workers will call this function with start_level=k and max_level=n and their
* received partial solution.
*
* For every valid solution that is found, the given callback function is called
* with the current valid solution as parameter.
*
* @param pos       A vector of length n that contains the partial solution
*                   for the range [0, start_level).
* @param start_level Gives the level at which the algorithm will start to
*                   generate solutions. The solution vector `pos` is assumed
*                   to have a valid solution for positions [0,start_level-1].
* @param max_level The level at which the algorithm will stop and pass
*                   the current valid solution to the callback function.
* @param success_func A callback function that is called whenever a valid
*                   solution of `max_level` levels is found. The found
*                   solution is passed as parameter to this callback function.
*/

void nqueens_by_level(std::vector<unsigned int> pos, unsigned int start_level, unsigned int max_level, void(*const success_func)(std::vector<unsigned int>&)) {

int n = pos.capacity();
int k = start_level;

bool place(int k, int i){                                                    // Function that returns true or false depending on wether queen can or can't be placed at position (k,i)
for (int j = 0; j < k - 1; j++){
if ((pos[j] == i) || (abs(j - k) == abs(pos[j] - i)){ return false; }
}
return true;
}

std::vector<unsigned int> stack;
stack.push_back(0);

while (!stack.empty()){
for (int j = stack.back(); j < n; j++){
if (place(k, j)){
stack.pop_back();
pos[k] = j;
if (k == max_level){ succes_func(pos); }
else{ stack.push_back(j+1); k = k + 1; stack.push_back(0); break; }
}
}
k = k - 1; stack.pop_back();
}
}

/*********************************************************************
*    You don't have to change anything beyond this point    *
*********************************************************************/

// stores all local solutions.
struct SolutionStore {
// store solutions in a static member variable
static std::vector<unsigned int>& solutions() {
   static std::vector<unsigned int> sols;
   return sols;
}
static void add_solution(const std::vector<unsigned int>& sol) {
   // add solution to static member
   solutions().insert(solutions().end(), sol.begin(), sol.end());
}
static void clear_solutions() {
   solutions().clear();
}
};

// callback for generating local solutions
void add_solution_callback(std::vector<unsigned int>& solution) {
SolutionStore::add_solution(solution);
}

// returns all solutions to the n-Queens problem, calculated sequentially
// This function requires that the nqueens_by_level function works properly.
std::vector<unsigned int> nqueens(unsigned int n) {
std::vector<unsigned int> zero(n, 0);
nqueens_by_level(zero, 0, n, &add_solution_callback);
std::vector<unsigned int> allsolutions = SolutionStore::solutions();
SolutionStore::clear_solutions();
return allsolutions;
}

1- Serial Implementation Note: do all this work on Neumann. Note...