#include <iostream>
#include <stdlib.h>

using namespace std ;

void printArray(int *array, int size){
	for(int i = 0; i < size; i++){
		cout << array[i] << " " ;
	}

}

void ZeroArray(int *array, int size){
	for (int i = 0; i < size ; i++)
		array[i] = 0 ;
}

bool is3DSonar1D(int *array, int *hash, int n1, int n2, int n){
	int p2 = n1*n2 ;
	int dif ;
	int iter = 0;
	ZeroArray(hash, p2) ;
	for (int h1 = 0; h1 < n1; h1++){
		for(int h2 = 0; h2 < n2; h2++){
			if(h1 == 0 && h2 == 0)
				continue ;
			iter++ ;
			//ZeroArray(hash,p2) ;
		 	//cout <<"after 0 " ;printArray(hash, p2) ; cout <<endl;
			for(int i = 0; i < n1; i++){
				if(n2*i > n-1) 
					break ;
				for(int j = 0; j < n2; j++){
					if(i == 0 && j == 0)
						continue ;
					if((i+h1) % n1 == 0 && (j+h2) % n2 == 0)
						continue ;
					if(n2*i+j > n-1)
						break;
					if( n2 * ((i + h1) % n1) + ((j+h2) % n2) > n - 1)
						continue ;
					dif = (array[ n2 *((i + h1) % n1) + ((j+h2) % n2)] - array[n2*i+j]);
					//cout << h1 << " " << h2 << " n " << n <<endl ;
					//cout <<i+h1<< j+h2 << i << j << array[ n2 *((i + h1) % n1) + ((j+h2) % n2)] << array[n2*i+j] << "dif" <<dif<<endl ;
					//cout <<"Pos " << n2 *((i + h1) % n1) + ((j+h2) % n2) << n2*i+j << endl ;
					if(dif < 0)
						dif = p2 + dif;
					else
						dif = dif % p2;
					if (hash[dif] == iter){
						//cout << "Eq " <<hash[dif] << iter <<endl ;
						//printArray(hash, p2) ;cout << endl ;
						return false ;
					}
					else{	
					//	cout << "FALSE" <<endl ;
						hash[dif]=iter ;
					}
				}
			}
		}
	}
	return true ;
}

int main(int argc, char **argv){

	int start, end, n1, n2, n ;
	int counter = 0 ;
	bool sonar = false ;
	start = 3;
	end = 3;
	n1 = atoi(argv[1]) ;
	n2 = atoi(argv[2]) ;
	n = n1*n2 ;
	int *array = new int[n];
	int *hash = (int *) calloc(n, sizeof(int)) ;

	for(int i = 0; i < n; i++)
		array[i] = -1 ;
	
	array[1] = 0;
	array[2] = atoi(argv[3]) ;	
	while(end >= start){
		counter++ ;	
		sonar = false ;
		if(array[end] + 1 > n-1){
			array[end] = -1;
			end-- ;
			continue ;
		}
		array[end]++;
		if(counter % 10000 == 0){ 
			cout << "Check Point: " ; printArray(array, end+1);  cout << endl;
			counter = 0;
		}
		if (is3DSonar1D(array, hash, n1, n2, end+1)){
			//cout <<"Costas";printArray(array, end+1) ; cout <<endl ;
			sonar = true ;
			if(end+1 == n){
				cout <<"Sonar:";printArray(array, end+1);cout << endl;
			}
		}	
		if(sonar && end < (n-1)){
			end++ ;
		}

	}

return 0 ;
}