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#include <iostream>
#include <iomanip>
#include <vector>
 
typedef std::vector<std::vector<int>> DType;
 
DType CreateArray(int W, int H){
	DType vec(H);
 
	for (auto& o : vec){
		o.resize(W);
	}
 
	return vec;
}
 
bool Check(DType& D, int W, int H){
	bool F = false;
	int A = 0, B = 0;
	for (int i = 0; i < W - 1; i++){
		F = false;
		for (int j = 0; j < H; j++){
			A = D[j][i];
			B = D[j][i + 1];
			if ((A == 0) || (B == 0) || (A == B)){
				F = true;
				break;
			}
		}
		if (F == false) return false;
	}
 
	for (int j = 0; j < H-1; j++){
		F = false;
		for (int i = 0; i < W; i++){
			A = D[j][i];
			B = D[j+1][i];
			if ((A == 0) || (B == 0) || (A == B)){
				F = true;
				break;
			}
		}
		if (F == false) return false;
	}
	return true;
}
 
bool Solve(std::vector<DType>& R, DType& D,const int& W,const int& H,int depth){
	auto Dup = D;
 
	if ((depth * 2 - 2) != (W*H)){
		for (int i = 0; i < H; i++){
			for (int j = 0; j < W; j++){
				if (D[i][j] == 0){
					for (int k = 0; k < 2; k++){
						if (k == 0){
							if ((j != W - 1) && (D[i][j + 1]==0)){
								D[i][j] = depth;
								D[i][j + 1] = depth;
								if (Check(D, W, H) == true) Solve(R, D, W, H, depth + 1);
								D = Dup;
							}
						}
						else{
							if ((i != H - 1) && (D[i+1][j]==0)){
								D[i][j] = depth;
								D[i+1][j] = depth;
								if (Check(D, W, H) == true) Solve(R, D, W, H, depth + 1);
								D = Dup;
							}
						}
					}
					goto L;
				}
			}
		}
	L:;
		return true;
	}
	else{
		R.push_back(D);
	}
 
	return true;
}
 
 
std::vector<DType> Fire(int W, int H){
	std::vector<DType> vec;
	auto D = CreateArray(W, H);
 
	Solve(vec, D, W, H,1);
 
	return vec;
}
 
bool ShowTatami(std::vector<DType>& vec,int W,int H,int Width = 3){
	for (auto& ooo : vec){
		for (auto& oo : ooo){
			for (auto& o : oo){
				std::cout << std::setw(Width) << std::right<< o << ' ';
			}
			std::cout << std::endl;
		}
		std::cout << std::endl;
	}
	std::cout << "We find " << vec.size()<<" count! at "<<W<<'x'<<H<< std::endl;
	return true;
}
 
int main(){
 
	auto R = Fire(6, 5);
	ShowTatami(R,6,5,2);
	R = Fire(8, 5);
	ShowTatami(R,8,5,2);
	R = Fire(6, 6);
	ShowTatami(R,6,6,2);
	R = Fire(6, 7);
	ShowTatami(R,6,7,2);
	return 0;
}
 
 
/* tatami solver-2 * /
#include <stdio.h>
#include <stdlib.h>
int xsize, ysize, size, count, mode = 1;
 
int check(int board[]){
	int i, j, flg, n[2];
	for (i = 0; i < xsize - 1; i++){
		flg = 0;
		for (j = 0; j < ysize; j++){
			n[0] = board[i + j * xsize];
			n[1] = board[i + 1 + j * xsize];
			if ((n[0] == 0) || (n[1] == 0) || (n[0] == n[1])){
				flg = 1;
				break;
			}
		}
		if (flg == 0)
			return 0;
	}
	for (j = 0; j < ysize - 1; j++){
		flg = 0;
		for (i = 0; i < xsize; i++){
			n[0] = board[i + j * xsize];
			n[1] = board[i + xsize + j * xsize];
			if ((n[0] == 0) || (n[1] == 0) || (n[0] == n[1])){
				flg = 1;
				break;
			}
		}
		if (flg == 0)
			return 0;
	}
	return 1;
}
 
void output(int board[]){
	int i;
	for (i = 0; i < size; i++){
		printf("%3d", board[i]);
		if (i % xsize != xsize - 1)
			printf(" ");
		else
			printf("\n");
	}
	printf("\n");
	return;
}
 
void solve(int board[], int depth){
	if (depth * 2 - 2 != size){
		int *board2, i, j, k;
		board2 = (int *)malloc(sizeof(int)* size);
		for (i = 0; i < size; i++)
			board2[i] = board[i];
		for (i = 0; i < size; i++){
			if (board[i] == 0){
				for (j = 0; j < 2; j++){
					if (j == 0){
						if ((i % xsize != xsize - 1) && (board[i + 1] == 0)){
							board[i] = board[i + 1] = depth;
							if (check(board) == 1)
								solve(board, depth + 1);
							for (k = 0; k < size; k++)
								board[k] = board2[k];
						}
					}
					else{
						if ((i < size - xsize) && (board[i + xsize] == 0)){
							board[i] = board[i + xsize] = depth;
							if (check(board) == 1)
								solve(board, depth + 1);
							for (k = 0; k < size; k++)
								board[k] = board2[k];
						}
					}
				}
				break;
			}
		}
		free(board2);
		return;
	}
	else{
		if (mode == 1)
			output(board);
		count++;
	}
}
 
int main(int argc, char *argv[]){
	int *board, i;
	/*if(argc<3)
	return 0;
	xsize = atoi(argv[1]);
	ysize = atoi(argv[2]);
	if(argc>3)
	mode = atoi(argv[3]);* /
	xsize = 6; ysize = 5; mode = 1;
	size = xsize * ysize;
	board = (int *)malloc(sizeof(int)* size);
	for (i = 0; i < size; i++)
		board[i] = 0;
	solve(board, 1);
	printf("%d\n", count);
	free(board);
	return 0;
}
*/

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

Success #stdin #stdout 0.05s 3480KB

stdin

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Standard input is empty

stdout

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 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 14 15 15 13 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 14 13 15 15 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 15 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 14 15 15 12 13 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 15 13 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 14 15 15 13 

We find 6 count! at 6x5
 1  1  2  2  3  3  4  5 
 6  6  7  8  8  9  4  5 
10 10  7 11 12  9 13 13 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 10 11 12  9 13 13 
14 14 15 11 12 16 16 17 
18 18 15 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 10 11 12  9 13 13 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 10 11 12  9 13 13 
14 15 16 11 12 17 17 18 
14 15 16 19 19 20 20 18 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 11 11 12  9 13 13 
14 10 15 15 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 11 12 12  9 13 13 
14 10 11 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 11 12 12  9 13 13 
14 10 11 15 16 17 17 18 
14 19 19 15 16 20 20 18 

 1  1  2  2  3  3  4  5 
 6  7  7  8  8  9  4  5 
 6 10 11 12 13  9 14 14 
15 10 11 12 13 16 16 17 
15 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  9  9  4  5 
 6 10 11  8 12 12 13 13 
14 10 11 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  7  8  9 10  4  5 
 6 11 12  8  9 10 13 13 
14 11 12 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  3  4  5 
 6  7  8  9  9 10  4  5 
 6  7  8 11 12 10 13 13 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  4  4  5 
 6  6  7  8  3  9  9  5 
10 10  7  8 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 10  8 11 11 12 13 
14 14 15 16 16 17 12 13 
18 18 15 19 19 17 20 20 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 10  8 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 10  8 11 11 12 13 
14 15 16 17 17 18 12 13 
14 15 16 19 19 18 20 20 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 11  8 12 12 13 13 
14 10 11 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 11  8 12 12 13 13 
14 10 11 15 15 16 17 17 
14 18 18 19 19 16 20 20 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 11  8 12 12 13 13 
14 10 11 15 15 16 17 18 
14 19 19 20 20 16 17 18 

 1  1  2  2  3  4  4  5 
 6  7  7  8  3  9  9  5 
 6 10 11  8 12 12 13 14 
15 10 11 16 16 17 13 14 
15 18 18 19 19 17 20 20 

 1  1  2  2  3  4  4  5 
 6  7  8  8  3  9  9  5 
 6  7 10 10 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  1  2  2  3  4  4  5 
 6  7  8  9  3 10 10  5 
 6  7  8  9 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  1  2  2  3  4  5  5 
 6  7  7  8  3  4  9  9 
 6 10 11  8 12 12 13 13 
14 10 11 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  4  5  5 
 6  7  7  8  3  4  9 10 
 6 11 12  8 13 13  9 10 
14 11 12 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  2  3  4  5  6 
 7  8  8  9  3  4  5  6 
 7 10 11  9 12 12 13 13 
14 10 11 15 15 16 16 17 
14 18 18 19 19 20 20 17 

 1  1  2  3  3  4  4  5 
 6  6  2  7  7  8  9  5 
10 10 11 11 12  8  9 13 
14 15 15 16 12 17 17 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  4  5 
 6  6  2  7  8  9  9  5 
10 11 11  7  8 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 11 12 13 
14 15 15 16 17 17 12 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 11 12 13 
14 15 15 16 17 18 12 13 
14 19 19 16 17 18 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 12 12 13 
14 15 15 16 11 17 17 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 12 13 13 
14 15 15 16 11 12 17 17 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 12 13 13 
14 15 15 16 11 12 17 18 
14 19 19 16 20 20 17 18 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9  9  5 
 6  7 10 10 11 12 13 14 
15 16 16 17 11 12 13 14 
15 18 18 17 19 19 20 20 

 1  1  2  3  3  4  4  5 
 6  7  2  8  8  9 10  5 
 6  7 11 11 12  9 10 13 
14 15 15 16 12 17 17 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  5  5 
 6  6  2  7  7  4  8  9 
10 11 11 12 13 13  8  9 
10 14 14 12 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  1  2  3  3  4  5  5 
 6  7  2  8  8  4  9  9 
 6  7 10 10 11 12 12 13 
14 15 15 16 11 17 17 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  3  4  5  6 
 7  8  2  9  9  4  5  6 
 7  8 10 10 11 12 12 13 
14 15 15 16 11 17 17 13 
14 18 18 16 19 19 20 20 

 1  1  2  3  4  4  5  5 
 6  6  2  3  7  8  8  9 
10 10 11 11  7 12 13  9 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  1  2  3  4  4  5  5 
 6  7  2  3  8  9  9 10 
 6  7 11 11  8 12 13 10 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  1  2  3  4  5  5  6 
 7  8  2  3  4  9  9  6 
 7  8 10 10 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 11 12  8  9 13 
14 14 15 16 12 17 17 13 
18 18 15 16 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 11 12  8  9 13 
14 15 15 16 12 17 17 13 
14 18 18 16 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 11 12  8  9 13 
14 15 16 16 12 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 11 12  8  9 13 
14 15 16 17 12 18 18 13 
14 15 16 17 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 12 12  8  9 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 10 11 12 13  8  9 14 
15 16 11 12 13 17 17 14 
15 16 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  7  8  9  5 
10 11 12 12 13  8  9 14 
10 11 15 16 13 17 17 14 
18 18 15 16 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  8  9  5 
10 10 11  7 12 12  9 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 10 11  7  8 12 12 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 10 11  7  8 12 13 13 
14 14 11 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 10 11  7  8 12 13 13 
14 15 11 16 16 12 17 17 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 10 11  7  8 12 13 13 
14 15 11 16 16 12 17 18 
14 15 19 19 20 20 17 18 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 10 11  7  8 12 13 14 
15 16 11 17 17 12 13 14 
15 16 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 11 11  7  8 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9  9  5 
10 11 12  7  8 13 14 14 
10 11 12 15 15 13 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  6  7  8  9 10  5 
11 11 12  7  8  9 10 13 
14 15 12 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  4  5 
 1  6  7  7  8  9  9  5 
10  6 11 11  8 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 11 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 12 13 13 
10 14 14 11 15 15 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 12 13 13 
10 14 14 11 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 12 13 13 
10 14 14 11 15 16 17 17 
18 18 19 19 15 16 20 20 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 12 13 13 
10 14 14 11 15 16 17 18 
19 19 20 20 15 16 17 18 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 12 13 14 
10 15 15 11 16 17 13 14 
18 18 19 19 16 17 20 20 

 1  2  2  3  3  4  4  5 
 1  6  7  8  8  9  9  5 
10  6  7 11 12 13 14 14 
10 15 15 11 12 13 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  4  5 
 1  6  7  8  9 10 10  5 
11  6  7  8  9 12 13 13 
11 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 10 11 12 13 13  8  9 
14 14 11 12 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 10 11 12 13 13  8  9 
14 15 11 12 16 17 17 18 
14 15 19 19 16 20 20 18 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 11 11 12 13 13  8  9 
10 14 14 12 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 11 12 12 13 13  8  9 
10 11 14 14 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 11 12 12 13 13  8  9 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 11 12 12 13 13  8  9 
10 11 14 15 16 17 17 18 
19 19 14 15 16 20 20 18 

 1  2  2  3  3  4  5  5 
 1  6  6  7  7  4  8  9 
10 11 12 13 14 14  8  9 
10 11 12 13 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  6  7  8  4  9  9 
10 10 11  7  8 12 12 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  5  5 
 1  6  7  8  8  4  9  9 
10  6  7 11 12 12 13 13 
10 14 14 11 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  5 
 1  6  7  8  8  4  9 10 
11  6  7 12 13 13  9 10 
11 14 14 12 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  3  4  5  6 
 1  7  7  8  9  4  5  6 
10 10 11  8  9 12 12 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  3  4  5  6 
 1  7  8  9  9  4  5  6 
10  7  8 11 12 12 13 13 
10 14 14 11 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  7  8  9 
10 11 12 12 13 13  8  9 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 10 11 11  7 12 13  9 
14 14 15 16 16 12 13 17 
18 18 15 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 10 11 11  7 12 13  9 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 10 11 11  7 12 13  9 
14 15 16 17 17 12 13 18 
14 15 16 19 19 20 20 18 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 11 12 12  7 13 13  9 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 11 12 12  7 13 13  9 
10 11 14 15 15 16 17 17 
18 18 14 19 19 16 20 20 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 11 12 12  7 13 13  9 
10 11 14 15 15 16 17 18 
19 19 14 20 20 16 17 18 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  8  9 
10 11 12 12  7 13 14  9 
10 11 15 16 16 13 14 17 
18 18 15 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  9  9 
10 11 12 12  7  8 13 13 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  4  4  5  5 
 1  6  6  3  7  8  9 10 
11 12 13 13  7  8  9 10 
11 12 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  4  4  5  6 
 1  7  7  3  8  9  5  6 
10 11 12 12  8  9 13 13 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  2  3  4  5  5  6 
 1  7  7  3  4  8  9  6 
10 10 11 12 12  8  9 13 
14 15 11 16 16 17 17 13 
14 15 18 18 19 19 20 20 

 1  2  2  3  4  5  5  6 
 1  7  8  3  4  9  9  6 
10  7  8 11 11 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  2  3  4  5  6  6 
 1  7  7  3  4  5  8  9 
10 11 12 12 13 13  8  9 
10 11 14 15 15 16 16 17 
18 18 14 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  6  7  8  8  9 
10 10 11 11  7 12 13  9 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 11 12 13  9 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 11 12 13  9 
14 15 15 16 17 12 13 18 
14 19 19 16 17 20 20 18 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 12 12 13  9 
14 15 15 11 16 16 13 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 12 13 13  9 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 12 13 13  9 
14 15 15 11 12 16 17 17 
14 18 18 19 19 16 20 20 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 12 13 13  9 
14 15 15 11 12 16 17 18 
14 19 19 20 20 16 17 18 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  8  9 
10 10  6 11 12 13 14  9 
15 16 16 11 12 13 14 17 
15 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  9  9 
10 10  6 11 12  8 13 13 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  7  8  9 10 
11 11  6 12 13  8  9 10 
14 15 15 12 13 16 16 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  5 
 1  2  6  7  8  9  9 10 
11 11  6  7  8 12 13 10 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  4  5  6 
 1  2  7  8  8  9  5  6 
10 10  7 11 12  9 13 13 
14 15 15 11 12 16 16 17 
14 18 18 19 19 20 20 17 

 1  2  3  3  4  5  5  6 
 1  2  7  8  4  9  9  6 
10 10  7  8 11 11 12 13 
14 15 15 16 16 17 12 13 
14 18 18 19 19 17 20 20 

 1  2  3  4  4  5  5  6 
 1  2  3  7  7  8  9  6 
10 10 11 11 12  8  9 13 
14 15 15 16 12 17 17 13 
14 18 18 16 19 19 20 20 

 1  2  3  4  4  5  5  6 
 1  2  3  7  8  9  9  6 
10 11 11  7  8 12 13 13 
10 14 14 15 15 12 16 17 
18 18 19 19 20 20 16 17 

 1  2  3  4  4  5  6  6 
 1  2  3  7  7  5  8  9 
10 11 11 12 13 13  8  9 
10 14 14 12 15 16 16 17 
18 18 19 19 15 20 20 17 

 1  2  3  4  5  5  6  6 
 1  2  3  4  7  8  8  9 
10 10 11 11  7 12 13  9 
14 15 15 16 16 12 13 17 
14 18 18 19 19 20 20 17 

We find 108 count! at 8x5
We find 0 count! at 6x6
 1  1  2  2  3  4 
 5  5  6  7  3  4 
 8  8  6  7  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  5  6  7  3  4 
 8  9  6  7 10 10 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  8  7  9 10 
11 11 12 13  9 10 
14 15 12 13 16 16 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  8  7  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  8  7  9 10 
11 12 13 13  9 10 
11 12 14 15 15 16 
17 18 14 19 19 16 
17 18 20 20 21 21 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 14 15 16 13 
17 17 18 15 16 19 
20 20 18 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 14 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 14 15 16 13 
17 18 19 15 16 20 
17 18 19 21 21 20 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 15 15 16 13 
17 14 18 18 16 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 15 16 16 13 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 15 16 16 13 
17 14 15 18 19 19 
17 20 20 18 21 21 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 15 16 16 13 
17 14 15 18 19 20 
17 21 21 18 19 20 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 12 13 
11 14 15 16 17 13 
18 14 15 16 17 19 
18 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 13 13 
11 14 15 12 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 10 
11  8  9 12 13 14 
11 15 16 12 13 14 
17 15 16 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  6  7  3  4 
 5  8  9  7 10 11 
12  8  9 13 10 11 
12 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  7  7  3  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  2  3  4 
 5  6  7  7  3  4 
 5  6  8  9  9 10 
11 12  8 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  2  3  4 
 5  6  7  8  3  4 
 5  6  7  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  3  3  4 
 5  5  2  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  5  2  6  7  4 
 8  9  9  6  7 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  1  2  3  3  4 
 5  5  2  6  7  4 
 8  9  9  6  7 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 11 12 13  9 10 
14 14 12 13 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 14 13 15 16 
17 17 18 19 15 16 
20 20 18 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 14 13 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 14 13 15 16 
17 18 19 19 15 16 
17 18 20 20 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 14 13 15 16 
17 18 19 20 15 16 
17 18 19 20 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 19 19 
17 20 20 18 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 19 20 
17 21 21 18 19 20 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 17 
18 14 15 19 16 17 
18 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 13 13  9 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  8  9 10 
11 12 13 14  9 10 
11 12 13 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  9  9 10 
11 12  8 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  9 10 10 
11 11  8  9 12 13 
14 15 15 16 12 13 
14 17 17 16 18 19 
20 20 21 21 18 19 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  9 10 10 
11 12  8  9 13 13 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  7  4 
 5  6  8  9 10 11 
12 13  8  9 10 11 
12 13 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  3  4 
 5  6  2  7  8  4 
 5  6  9  7  8 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  4  4 
 5  5  2  3  6  7 
 8  9  9 10  6  7 
 8 11 11 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  1  2  3  4  4 
 5  5  2  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  1  2  3  4  4 
 5  6  2  3  7  7 
 5  6  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  3  4  4 
 5  6  2  3  7  7 
 5  6  8  9  9 10 
11 12  8 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  1  2  3  4  5 
 6  7  2  3  4  5 
 6  7  8  8  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  1  2  3  4  5 
 6  7  2  3  4  5 
 6  7  8  9  9 10 
11 12  8 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 11  9 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 17 18 19 15 16 
20 20 18 19 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 19 19 15 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 19 20 15 16 
17 18 19 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 15 15 16 
17 18 14 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 15 16 16 
17 17 14 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 15 16 16 
17 18 14 15 19 19 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 15 16 16 
17 18 14 15 19 20 
17 18 21 21 19 20 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 15 16 17 
18 19 14 15 16 17 
18 19 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  8  9  6  7 10 
11 12  9 13 14 10 
11 12 15 13 14 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  9  9  6  7 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  9  9  6  7 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  5  6  7  4 
 8  9 10  6  7 11 
 8  9 10 12 13 11 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  6  6  7  4 
 8  5  9  9  7 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  6  6  7  4 
 8  5  9  9  7 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9  9 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9  9 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 14 15 16 12 13 
17 17 15 16 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 14 15 16 12 13 
17 18 15 16 19 19 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 14 15 16 12 13 
17 18 15 16 19 20 
17 18 21 21 19 20 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 15 16 12 13 
14 17 17 16 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 17 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 18 19 19 
20 20 17 18 21 21 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 18 19 20 
21 21 17 18 19 20 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 17 12 13 
14 15 16 17 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 12  9 13 13 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 10 
 8 11 12  9 13 14 
15 11 12 16 13 14 
15 17 17 16 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  7  4 
 8  5  6  9 10 11 
 8 12 13  9 10 11 
14 12 13 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  3  4 
 1  5  6  7  8  4 
 9  5  6  7  8 10 
 9 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  3  4 
 1  5  6  7  8  4 
 9  5  6  7  8 10 
 9 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  8  9 10  6  7 
11 11  9 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  8  9 10  6  7 
11 12  9 10 13 13 
11 12 14 15 15 16 
17 18 14 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9  9 10  6  7 
 8 11 11 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 11 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 17 18 15 16 19 
20 20 18 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 19 15 16 20 
17 18 19 21 21 20 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 15 11 16 16 13 
14 15 17 17 18 19 
20 20 21 21 18 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 15 11 16 16 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 15 11 16 16 13 
14 15 17 18 19 19 
20 20 17 18 21 21 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 15 11 16 16 13 
14 15 17 18 19 20 
21 21 17 18 19 20 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 15 11 16 17 13 
14 15 18 16 17 19 
20 20 18 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 13 13 
14 15 11 12 16 16 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 10  6  7 
 8  9 11 12 13 14 
15 16 11 12 13 14 
15 16 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  5  3  6  7 
 8  9 10 11  6  7 
 8  9 10 11 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  6  3  7  7 
 8  5  6  9  9 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  4  4 
 1  5  6  3  7  7 
 8  5  6  9  9 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  4  4 
 1  5  6  3  7  7 
 8  5  6  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  4 
 1  5  6  3  7  8 
 9  5  6 10  7  8 
 9 11 11 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  2  3  4  5 
 1  6  7  3  4  5 
 8  6  7  9  9 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  2  3  4  5 
 1  6  7  3  4  5 
 8  6  7  9  9 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  2  3  4  5 
 1  6  7  3  4  5 
 8  6  7  9 10 10 
 8 11 11  9 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  3  3  4  4 
 1  2  5  5  6  7 
 8  9  9 10  6  7 
 8 11 11 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  3  3  4  4 
 1  2  5  5  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 11 12  9 10 13 
14 14 12 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 14 15 16 13 
17 17 18 15 16 19 
20 20 18 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 14 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 14 15 16 13 
17 18 19 15 16 20 
17 18 19 21 21 20 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 15 15 16 13 
17 14 18 18 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 15 16 16 13 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 15 16 16 13 
17 14 15 18 19 19 
17 20 20 18 21 21 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 15 16 16 13 
17 14 15 18 19 20 
17 21 21 18 19 20 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 12  9 10 13 
11 14 15 16 17 13 
18 14 15 16 17 19 
18 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  8  5  9 10  7 
11 12 13  9 10 14 
11 12 13 15 16 14 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  9  5 10 10  7 
 8  9 11 11 12 13 
14 15 15 16 12 13 
14 17 17 16 18 19 
20 20 21 21 18 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  9  5 10 10  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  9  5 10 10  7 
 8  9 11 12 13 13 
14 14 11 12 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  2  3  3  4  4 
 1  2  5  6  6  7 
 8  9  5 10 11  7 
 8  9 12 10 11 13 
14 14 12 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  7  7 
 8  8  5  6  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  7  7 
 8  9  5  6 10 10 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  4 
 1  2  5  6  7  8 
 9 10  5  6  7  8 
 9 10 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  3  4  5 
 1  2  6  7  4  5 
 8  8  6  7  9 10 
11 12 12 13  9 10 
11 14 15 13 16 16 
17 14 15 18 18 19 
17 20 20 21 21 19 

 1  2  3  3  4  5 
 1  2  6  7  4  5 
 8  9  6  7 10 10 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

 1  2  3  4  4  5 
 1  2  3  6  7  5 
 8  8  9  6  7 10 
11 12  9 13 13 10 
11 12 14 14 15 16 
17 18 18 19 15 16 
17 20 20 19 21 21 

 1  2  3  4  4  5 
 1  2  3  6  7  5 
 8  9  9  6  7 10 
 8 11 11 12 13 10 
14 14 15 12 13 16 
17 18 15 19 19 16 
17 18 20 20 21 21 

 1  2  3  4  4  5 
 1  2  3  6  7  5 
 8  9  9  6  7 10 
 8 11 12 13 13 10 
14 11 12 15 16 16 
14 17 17 15 18 19 
20 20 21 21 18 19 

 1  2  3  4  5  5 
 1  2  3  4  6  7 
 8  9  9 10  6  7 
 8 11 11 10 12 13 
14 15 16 16 12 13 
14 15 17 18 18 19 
20 20 17 21 21 19 

 1  2  3  4  5  5 
 1  2  3  4  6  7 
 8  9 10 10  6  7 
 8  9 11 12 12 13 
14 14 11 15 16 13 
17 18 18 15 16 19 
17 20 20 21 21 19 

We find 124 count! at 6x7

https://ideone.com/jZJoae

language:

C++14 (gcc 8.3)

created:

visibility:

public

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