largest_square_array-vlad-v2.c

#include <stdlib.h>
#include <stdio.h>
#include <string.h>


#define MIN_NUMBER 1
#define MAX_NUMBER 9
#define MAX_INT 2147483647
#define MIN(a,b) ((a)>(b)?(b):(a))

void print(const unsigned int* array, const unsigned int rows, const unsigned int cols) {
    static int r, c;
    
    printf("\n");
    for (r = 0; r < rows; r++) {
        for (c = 0; c < cols; c++) {
            printf("%3d", array[r * cols + c]);
        }
        printf("\n");
    }
}

void calculate(const unsigned int* altitude_map, const unsigned int rows, const unsigned int cols) {

    int best_number = -1;
    int best_dimension = -1;
    int best_row = -1;
    int best_col = -1;

    int curr_num;
    int r, c;

    // a temporary array
    unsigned int* number_array = (unsigned int*) malloc(sizeof (unsigned int) * rows * cols);

    // iterate a constant number of times (i.e. 9)
    for (curr_num = MIN_NUMBER; curr_num <= MAX_NUMBER; curr_num++) {
        // copy the original array
        memcpy(number_array, altitude_map, sizeof (unsigned int) * rows * cols);

        //top to bottom, recording the largest number of consecutive numbers
        for (r = 0; r < rows; r++) {
            int count = 0;
            for (c = cols - 1; c >= 0; c--) {
                if (number_array[r * cols + c] == curr_num) {
                    count++;
                } else {
                    count = 0;
                }
                number_array[r * cols + c] = count;
            }
        }

        //left to right
        for (c = 0; c < cols; c++) {
            int max_rows = 0;
            int max_cols = MAX_INT;
            for (r = 0; r < rows; r++) {
                if (number_array[r * cols + c] == 0) {
                    max_rows = 0;
                    max_cols = MAX_INT;
                } else {
                    max_rows++ ;
                    max_cols = MIN(max_cols , number_array[r * cols + c]) ;
                    if (MIN(max_cols,max_rows) > best_dimension) {
                            best_dimension = MIN(max_cols,max_rows);
                            best_number = curr_num;
                            best_row = r - max_rows + 1;
                            best_col = c;
                    }
                }
            }
        }

    }

    free(number_array);

    printf("ACTUAL   : contains a %dx%d grid of %ds at (%d , %d)\n", best_dimension, best_dimension, best_number, best_row, best_col);

}

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

    printf("TEST: altitude_map_1\n");
    printf("EXPECTING: contains a 5x5 grid of 8s at (0 , 0)\n");
    unsigned int altitude_map_1[5][5] = {
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8}
    };
    calculate((unsigned int*) altitude_map_1, 5, 5);
    printf("\n");

    printf("TEST: altitude_map_2\n");
    printf("EXPECTING: contains a 2x2 grid of 8s at (0 , 0)\n");
    unsigned int altitude_map_2[5][5] = {
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8},
        {8, 8, 3, 8, 8},
        {8, 8, 8, 8, 8},
        {8, 8, 8, 8, 8}
    };
    calculate((unsigned int*) altitude_map_2, 5, 5);
    printf("\n");

    
    printf("TEST: altitude_map_3\n");
    printf("EXPECTING: contains a 2x2 grid of 8s at (1 , 0)\n");
    unsigned int altitude_map_3[5][5] = {
        {6, 6, 1, 9, 7},
        {8, 8, 4, 8, 8},
        {8, 8, 2, 6, 1},
        {5, 4, 5, 1, 6},
        {8, 8, 1, 1, 4}
    };
    calculate((unsigned int*) altitude_map_3, 5, 5);
    printf("\n");


    printf("TEST: altitude_map_4\n");
    printf("EXPECTING: contains a 9x9 grid of 9s at (0 , 7)\n");
    unsigned int altitude_map_4[11][18] = {
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 6},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 7},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5},
        {8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 5},
        {7, 1, 3, 8, 1, 3, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6},
        {1, 3, 2, 3, 6, 9, 4, 9, 9, 2, 8, 4, 1, 8, 1, 2, 9, 7},
        {9, 6, 8, 1, 6, 1, 5, 2, 9, 1, 6, 9, 7, 9, 9, 2, 9, 6}
    };
    calculate((unsigned int*) altitude_map_4, 11, 18);
    printf("\n");


    printf("TEST: altitude_map_5\n");
    printf("EXPECTING: contains a 11x11 grid of 9s at (2 , 7)\n");
    unsigned int altitude_map_5[14][30] = {
        {3, 5, 6, 6, 6, 2, 6, 3, 8, 6, 8, 1, 4, 7, 3, 8, 4, 1, 3, 9, 7, 4, 7, 4, 5, 4, 2, 4, 7, 1},
        {9, 3, 7, 4, 2, 7, 7, 2, 8, 1, 4, 6, 1, 3, 6, 9, 3, 6, 1, 3, 1, 6, 5, 4, 5, 3, 1, 8, 6, 5},
        {7, 9, 9, 2, 6, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9},
        {8, 1, 4, 2, 2, 1, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 5, 4},
        {8, 2, 3, 7, 6, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 4, 5},
        {4, 7, 8, 3, 5, 7, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 1, 1},
        {7, 5, 5, 7, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 3, 1},
        {3, 3, 6, 9, 8, 3, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 1, 3},
        {1, 6, 8, 5, 3, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 1},
        {4, 2, 6, 1, 2, 2, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5},
        {9, 6, 2, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 1, 2},
        {8, 5, 7, 7, 6, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 1, 7},
        {5, 2, 3, 6, 4, 7, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 6, 7, 6, 8, 4, 1, 4, 3, 8},
        {1, 3, 1, 5, 6, 7, 8, 2, 8, 1, 9, 9, 3, 7, 7, 6, 5, 9, 1, 4, 5, 2, 5, 7, 7, 9, 6, 7, 7, 4}
    };
    calculate((unsigned int*) altitude_map_5, 14, 30);
    printf("\n");

    
    printf("TEST: altitude_map_6\n");
    printf("EXPECTING: contains a 13x13 grid of 9s at (1 , 20)\n");
    unsigned int altitude_map_6[20][35] = {
        {5, 3, 4, 2, 4, 3, 6, 1, 9, 4, 9, 3, 9, 5, 3, 5, 2, 8, 6, 3, 4, 7, 2, 7, 4, 5, 1, 1, 7, 3, 5, 4, 1, 6, 9},
        {8, 2, 5, 7, 4, 9, 5, 9, 7, 6, 7, 2, 2, 8, 7, 6, 3, 6, 1, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 2},
        {9, 8, 4, 4, 1, 2, 7, 6, 8, 1, 6, 9, 2, 3, 2, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 5},
        {3, 2, 3, 6, 2, 3, 4, 9, 7, 1, 7, 8, 8, 8, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 5},
        {4, 9, 1, 9, 8, 5, 3, 3, 3, 3, 3, 3, 6, 5, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9},
        {2, 5, 7, 6, 1, 6, 3, 3, 3, 3, 3, 3, 6, 8, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 6},
        {2, 7, 6, 5, 3, 9, 3, 3, 3, 3, 3, 3, 4, 7, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9},
        {5, 9, 6, 4, 8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 7},
        {5, 3, 8, 8, 8, 1, 3, 3, 3, 3, 3, 3, 1, 9, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 6},
        {4, 8, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 7, 9, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9},
        {5, 2, 7, 1, 6, 1, 2, 5, 4, 9, 2, 4, 7, 7, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 2},
        {8, 3, 8, 6, 9, 3, 6, 2, 1, 6, 5, 6, 6, 3, 1, 1, 1, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 6},
        {4, 7, 6, 4, 6, 7, 7, 6, 7, 9, 4, 2, 1, 3, 9, 2, 7, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9},
        {1, 5, 8, 5, 7, 9, 1, 9, 1, 6, 4, 7, 8, 8, 4, 5, 7, 7, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4},
        {6, 3, 5, 5, 6, 6, 6, 9, 3, 1, 2, 2, 5, 2, 7, 5, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7},
        {5, 2, 7, 9, 5, 5, 7, 6, 1, 3, 4, 4, 9, 9, 9, 5, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {2, 4, 4, 4, 5, 7, 8, 1, 7, 4, 1, 8, 3, 5, 7, 8, 4, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {5, 8, 6, 5, 1, 6, 4, 3, 4, 9, 8, 2, 3, 9, 9, 6, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {4, 9, 9, 8, 6, 5, 2, 8, 8, 1, 2, 8, 4, 3, 6, 7, 3, 9, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 2, 2, 2, 2, 2, 2},
        {5, 4, 7, 2, 1, 7, 5, 1, 8, 1, 3, 1, 1, 4, 5, 5, 9, 8, 1, 1, 1, 1, 5, 8, 1, 1, 4, 3, 1, 4, 1, 4, 8, 9, 2}
    };
    calculate((unsigned int*) altitude_map_6, 20, 35);
    printf("\n");


    printf("TEST: altitude_map_7\n");
    printf("EXPECTING: contains a 5x5 grid of 8s at (13 , 15)\n");
    unsigned int altitude_map_7[26][47] = {
        {6, 9, 1, 5, 5, 2, 1, 9, 8, 5, 1, 8, 3, 7, 8, 5, 3, 3, 6, 9, 9, 3, 8, 2, 7, 8, 7, 7, 9, 4, 3, 1, 6, 9, 5, 6, 7, 8, 2, 1, 2, 6, 5, 4, 4, 6, 4},
        {1, 2, 4, 8, 2, 4, 1, 7, 4, 4, 5, 6, 2, 1, 5, 5, 1, 6, 8, 9, 3, 2, 7, 6, 4, 5, 2, 3, 6, 6, 4, 4, 6, 4, 9, 1, 1, 2, 3, 4, 2, 6, 7, 6, 8, 8, 6},
        {3, 3, 6, 3, 9, 1, 9, 5, 6, 7, 7, 5, 1, 6, 7, 1, 5, 2, 5, 7, 5, 6, 7, 6, 7, 6, 3, 8, 8, 3, 9, 8, 7, 6, 3, 4, 4, 4, 5, 8, 3, 9, 9, 1, 1, 1, 9},
        {6, 8, 5, 7, 4, 7, 1, 4, 1, 3, 1, 8, 9, 1, 2, 4, 7, 8, 4, 9, 3, 2, 3, 4, 6, 8, 8, 7, 8, 4, 1, 4, 8, 1, 1, 1, 9, 4, 3, 8, 9, 2, 4, 5, 4, 2, 9},
        {1, 9, 1, 5, 9, 6, 3, 9, 2, 9, 2, 8, 2, 7, 2, 6, 3, 5, 1, 3, 2, 6, 1, 9, 7, 9, 1, 3, 2, 6, 4, 6, 9, 3, 5, 1, 3, 4, 8, 3, 8, 7, 7, 3, 6, 3, 8},
        {5, 2, 8, 8, 8, 8, 8, 2, 7, 5, 4, 5, 7, 8, 2, 7, 1, 8, 9, 3, 7, 9, 7, 5, 2, 5, 1, 2, 2, 2, 5, 1, 5, 5, 9, 2, 6, 3, 5, 7, 7, 8, 8, 2, 9, 4, 3},
        {2, 9, 8, 8, 8, 8, 7, 1, 9, 9, 7, 2, 5, 7, 5, 6, 8, 8, 7, 6, 4, 5, 8, 2, 1, 4, 6, 2, 2, 2, 7, 4, 6, 4, 7, 9, 3, 4, 5, 7, 7, 4, 7, 1, 3, 1, 4},
        {2, 8, 8, 8, 8, 8, 8, 7, 2, 6, 5, 4, 3, 8, 9, 4, 1, 4, 3, 1, 8, 6, 1, 3, 7, 5, 8, 2, 2, 2, 4, 9, 6, 6, 6, 4, 7, 1, 5, 3, 1, 5, 7, 8, 3, 8, 4},
        {7, 5, 8, 8, 8, 8, 7, 3, 3, 4, 7, 7, 4, 3, 4, 6, 3, 7, 6, 7, 2, 8, 7, 7, 5, 8, 3, 3, 1, 1, 8, 5, 4, 8, 8, 6, 7, 8, 8, 3, 9, 2, 4, 1, 3, 1, 1},
        {5, 9, 1, 4, 9, 1, 5, 2, 3, 6, 9, 2, 3, 2, 3, 2, 2, 5, 1, 9, 3, 6, 9, 8, 2, 7, 4, 2, 5, 9, 5, 1, 5, 1, 6, 6, 8, 6, 8, 9, 4, 3, 7, 6, 6, 5, 5},
        {7, 8, 8, 9, 7, 7, 6, 9, 7, 3, 9, 5, 8, 7, 4, 1, 8, 2, 7, 9, 9, 7, 1, 7, 5, 5, 5, 2, 7, 6, 3, 5, 5, 7, 8, 4, 9, 2, 8, 9, 2, 1, 4, 1, 8, 2, 3},
        {3, 2, 4, 2, 3, 9, 4, 4, 4, 4, 3, 6, 6, 9, 6, 8, 8, 8, 4, 9, 6, 5, 7, 1, 9, 8, 4, 1, 3, 8, 2, 4, 5, 6, 1, 7, 1, 4, 9, 4, 9, 8, 6, 4, 4, 8, 5},
        {6, 2, 6, 4, 2, 2, 3, 8, 5, 7, 9, 1, 3, 5, 7, 1, 2, 5, 5, 1, 7, 1, 6, 8, 3, 6, 4, 8, 7, 8, 9, 2, 7, 3, 1, 4, 6, 8, 3, 6, 6, 6, 7, 2, 3, 7, 9},
        {3, 4, 6, 4, 5, 8, 5, 4, 3, 1, 7, 7, 8, 4, 9, 8, 8, 8, 8, 8, 8, 3, 8, 8, 5, 4, 9, 6, 8, 7, 9, 4, 6, 1, 1, 6, 2, 6, 6, 9, 7, 2, 1, 1, 5, 6, 9},
        {3, 3, 3, 6, 7, 6, 1, 2, 8, 7, 7, 4, 6, 1, 7, 8, 8, 8, 8, 8, 3, 4, 8, 1, 7, 3, 1, 3, 1, 7, 2, 5, 1, 3, 9, 1, 1, 3, 4, 7, 8, 8, 2, 5, 2, 7, 3},
        {5, 1, 4, 6, 6, 5, 8, 9, 4, 3, 4, 2, 1, 5, 5, 8, 8, 8, 8, 8, 1, 5, 2, 6, 7, 2, 4, 7, 5, 7, 1, 2, 1, 7, 5, 5, 3, 1, 9, 2, 9, 4, 4, 4, 9, 6, 9},
        {5, 5, 5, 6, 7, 4, 3, 7, 3, 9, 2, 2, 9, 6, 6, 8, 8, 8, 8, 8, 4, 5, 1, 5, 5, 9, 7, 7, 4, 4, 3, 6, 8, 2, 4, 9, 2, 4, 7, 3, 3, 2, 9, 1, 1, 7, 1},
        {8, 9, 3, 9, 4, 4, 1, 2, 9, 4, 9, 7, 4, 5, 4, 8, 8, 8, 8, 8, 4, 1, 6, 8, 1, 2, 5, 5, 9, 6, 3, 8, 1, 4, 4, 5, 9, 8, 7, 7, 9, 4, 6, 1, 5, 6, 3},
        {6, 6, 8, 6, 7, 7, 2, 6, 1, 6, 4, 8, 8, 8, 7, 7, 8, 9, 3, 4, 5, 8, 9, 7, 4, 7, 9, 4, 2, 1, 5, 1, 8, 3, 4, 8, 7, 8, 3, 5, 5, 9, 2, 1, 6, 1, 1},
        {1, 5, 7, 4, 8, 1, 5, 5, 1, 4, 6, 9, 5, 2, 8, 3, 5, 3, 3, 8, 8, 4, 4, 6, 7, 7, 1, 8, 7, 5, 4, 2, 2, 6, 1, 4, 5, 6, 3, 5, 1, 4, 5, 9, 5, 4, 8},
        {9, 4, 7, 2, 8, 5, 8, 2, 8, 3, 4, 7, 9, 9, 4, 2, 6, 9, 2, 6, 1, 5, 7, 2, 7, 5, 4, 6, 1, 6, 5, 9, 2, 6, 6, 1, 7, 6, 9, 8, 3, 7, 2, 1, 9, 6, 6},
        {3, 9, 2, 1, 3, 5, 3, 3, 2, 3, 5, 5, 4, 4, 7, 7, 5, 8, 1, 3, 9, 8, 7, 7, 6, 6, 9, 6, 7, 1, 7, 4, 3, 2, 5, 4, 5, 4, 2, 9, 4, 6, 7, 9, 8, 1, 1},
        {7, 8, 9, 4, 9, 1, 6, 4, 7, 6, 1, 1, 1, 4, 7, 5, 1, 3, 2, 4, 6, 3, 7, 2, 8, 3, 4, 5, 7, 7, 5, 7, 6, 3, 2, 6, 5, 6, 7, 6, 2, 9, 1, 5, 7, 5, 1},
        {4, 1, 4, 5, 6, 9, 3, 5, 1, 2, 5, 5, 5, 6, 2, 3, 5, 4, 3, 9, 1, 5, 9, 5, 8, 8, 3, 3, 3, 5, 7, 4, 9, 8, 7, 7, 9, 8, 6, 3, 1, 3, 5, 6, 5, 1, 6},
        {3, 1, 3, 4, 3, 7, 6, 4, 3, 2, 6, 5, 4, 3, 6, 6, 1, 7, 3, 6, 4, 8, 9, 2, 7, 7, 8, 8, 3, 4, 1, 9, 1, 5, 2, 1, 5, 6, 4, 3, 3, 4, 1, 5, 2, 2, 9},
        {9, 5, 3, 5, 8, 5, 1, 5, 7, 8, 3, 6, 8, 1, 9, 5, 2, 8, 7, 5, 5, 5, 8, 7, 2, 1, 4, 1, 3, 1, 2, 6, 4, 9, 1, 7, 1, 9, 1, 1, 2, 6, 2, 1, 7, 9, 8}
    };
    calculate((unsigned int*) altitude_map_7, 26, 47);
    printf("\n");


    printf("TEST: altitude_map_8\n");
    printf("EXPECTING: contains a 11x11 grid of 7s at (3 , 8)\n");
    unsigned int altitude_map_8[34][54] = {
        {6, 6, 4, 8, 9, 4, 1, 7, 3, 7, 1, 8, 5, 1, 8, 4, 3, 7, 2, 3, 2, 4, 2, 1, 6, 3, 2, 5, 7, 7, 2, 5, 2, 4, 5, 9, 7, 4, 8, 9, 1, 9, 1, 5, 5, 2, 7, 3, 9, 5, 7, 4, 4, 2},
        {8, 7, 3, 8, 4, 4, 5, 2, 2, 6, 6, 7, 9, 1, 1, 2, 3, 1, 5, 5, 2, 2, 6, 9, 4, 3, 7, 6, 6, 6, 6, 6, 6, 3, 5, 7, 5, 1, 4, 4, 6, 7, 5, 8, 8, 5, 9, 8, 7, 5, 3, 8, 8, 4},
        {7, 6, 5, 1, 9, 2, 6, 8, 1, 6, 7, 5, 9, 1, 3, 6, 7, 2, 8, 9, 9, 3, 9, 7, 9, 5, 8, 2, 2, 2, 2, 2, 2, 2, 2, 6, 1, 7, 6, 6, 9, 8, 2, 1, 1, 6, 3, 3, 5, 8, 7, 9, 6, 4},
        {9, 3, 8, 5, 3, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 4, 6, 1, 5, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 6, 6, 3, 7, 6, 3, 4, 3, 1, 3, 5, 5, 3, 6, 1, 2, 2},
        {2, 3, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 6, 2, 7, 1, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 6, 9, 6, 4, 9, 2, 4, 8, 4, 2, 4, 9, 1, 1, 7, 4, 5, 6},
        {9, 1, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 8, 8, 8, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 5, 3, 9, 7, 4, 1, 9, 2, 4, 9, 8, 1, 1, 9, 5, 2, 7},
        {2, 3, 9, 3, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 8, 4, 8, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 4, 2, 2, 2, 3, 9, 3, 3, 5, 3, 4, 9, 6, 3, 1, 3, 1, 8},
        {8, 5, 9, 7, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 6, 3, 7, 5, 4, 5, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 4, 6, 1, 5, 5, 1, 6, 5, 6, 8, 9, 8, 3, 3, 4, 8, 8},
        {8, 7, 5, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 9, 3, 8, 1, 3, 6, 2, 2, 2, 2, 2, 2, 2, 2, 8, 4, 1, 4, 3, 5, 2, 6, 3, 5, 9, 6, 3, 5, 1, 6, 3, 3, 8},
        {6, 3, 8, 4, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 5, 9, 9, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 1, 3, 4, 5, 4, 3, 2, 5, 5, 7, 8, 9, 5, 3, 6, 1, 6},
        {4, 6, 9, 7, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 1, 7, 1, 6, 7, 4, 7, 9, 6, 8, 2, 4, 8, 7, 4, 7, 7, 2, 8, 9, 5, 2, 8, 5, 1, 6, 7, 1, 6, 7, 9, 8, 4, 5},
        {1, 1, 5, 6, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 3, 2, 3, 9, 3, 3, 8, 9, 8, 5, 7, 1, 4, 9, 3, 1, 2, 6, 3, 6, 3, 2, 4, 7, 9, 5, 8, 2, 9, 3, 4, 5, 7, 4},
        {4, 2, 1, 1, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 8, 6, 5, 2, 8, 1, 4, 6, 1, 1, 7, 1, 6, 6, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 3, 3, 4, 6, 9, 2},
        {2, 1, 2, 6, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 1, 2, 6, 7, 1, 1, 3, 6, 6, 1, 6, 9, 7, 7, 4, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3, 2, 2, 2, 5, 7, 2},
        {5, 5, 7, 3, 7, 1, 5, 8, 9, 2, 6, 9, 2, 6, 8, 6, 3, 8, 5, 9, 2, 9, 5, 2, 5, 3, 2, 2, 2, 9, 9, 2, 4, 8, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 9, 3, 7, 2, 4, 3},
        {1, 1, 4, 7, 4, 9, 8, 4, 3, 1, 1, 7, 9, 8, 7, 6, 8, 6, 5, 6, 4, 6, 3, 6, 3, 9, 3, 5, 7, 4, 4, 1, 3, 5, 7, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 6, 8, 5, 8, 7, 1, 3},
        {1, 1, 4, 3, 5, 8, 6, 1, 1, 8, 6, 7, 1, 1, 5, 5, 5, 5, 3, 1, 8, 2, 1, 7, 5, 4, 5, 6, 4, 8, 9, 6, 6, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 1, 1, 8, 8, 1, 3},
        {1, 3, 7, 9, 4, 7, 6, 2, 8, 8, 4, 2, 1, 8, 5, 5, 5, 5, 4, 3, 9, 5, 2, 9, 4, 3, 2, 2, 4, 9, 4, 1, 1, 5, 7, 2, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 3, 1, 8, 7, 4, 9},
        {5, 9, 3, 5, 4, 2, 6, 4, 6, 9, 9, 8, 8, 6, 5, 5, 5, 5, 2, 4, 7, 2, 9, 9, 5, 7, 2, 7, 5, 6, 3, 3, 3, 8, 2, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 3, 2, 8, 2, 8, 5, 2},
        {9, 6, 8, 9, 4, 6, 5, 4, 8, 1, 4, 3, 1, 1, 5, 5, 5, 5, 7, 4, 2, 5, 5, 8, 3, 9, 7, 2, 3, 7, 7, 7, 7, 7, 6, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 8, 1, 5, 5, 2, 6, 4},
        {4, 9, 7, 8, 2, 6, 5, 3, 4, 2, 7, 7, 4, 7, 7, 7, 8, 2, 7, 1, 2, 9, 5, 5, 9, 2, 1, 8, 7, 7, 7, 7, 7, 7, 1, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 1, 1, 7, 4, 3},
        {5, 7, 8, 4, 8, 8, 2, 3, 6, 5, 2, 4, 1, 2, 8, 1, 3, 5, 1, 6, 7, 7, 3, 8, 9, 9, 7, 8, 2, 7, 7, 7, 7, 7, 8, 4, 7, 6, 6, 3, 3, 3, 8, 8, 1, 3, 5, 6, 7, 7, 2, 2, 3, 3},
        {4, 4, 9, 2, 4, 7, 1, 9, 1, 7, 6, 3, 5, 8, 7, 5, 3, 2, 4, 7, 2, 6, 5, 8, 4, 9, 8, 4, 1, 7, 7, 7, 7, 7, 9, 7, 2, 6, 1, 8, 5, 9, 6, 9, 7, 7, 3, 7, 3, 3, 3, 4, 2, 7},
        {7, 4, 3, 6, 4, 8, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 4, 7, 9, 2, 2, 1, 8, 2, 5, 4, 9, 4, 7, 7, 7, 7, 7, 4, 5, 7, 3, 8, 9, 5, 6, 5, 2, 5, 7, 1, 3, 3, 4, 1, 2, 1, 8},
        {8, 8, 6, 6, 2, 7, 3, 3, 3, 3, 3, 3, 3, 9, 9, 1, 2, 8, 9, 2, 2, 6, 6, 7, 8, 1, 6, 1, 1, 7, 2, 3, 7, 4, 1, 8, 1, 5, 4, 2, 9, 2, 3, 3, 7, 1, 6, 5, 9, 6, 7, 6, 2, 9},
        {5, 5, 1, 9, 8, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 8, 7, 7, 9, 1, 1, 5, 2, 6, 9, 9, 8, 2, 5, 5, 4, 2, 6, 6, 1, 1, 3, 8, 8, 8, 2, 7, 7, 9, 3, 4, 8, 4, 9, 7, 2, 3, 3, 4},
        {7, 6, 5, 4, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 8, 6, 2, 8, 2, 7, 8, 4, 2, 7, 9, 7, 4, 2, 7, 2, 7, 5, 8, 7, 5, 3, 2, 4, 6, 7, 7, 2, 6, 1, 9, 1, 7, 2, 7, 1, 6, 5},
        {2, 3, 4, 6, 1, 5, 3, 3, 3, 3, 3, 3, 3, 7, 3, 7, 3, 4, 9, 5, 5, 4, 5, 3, 8, 3, 5, 7, 9, 6, 5, 2, 3, 9, 3, 3, 2, 3, 5, 6, 6, 4, 8, 9, 5, 9, 6, 9, 5, 1, 5, 1, 8, 3},
        {5, 8, 4, 7, 9, 7, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 9, 4, 6, 1, 2, 3, 3, 9, 2, 7, 7, 2, 2, 2, 8, 6, 3, 9, 2, 6, 7, 5, 6, 7, 5, 2, 8, 5, 5, 1, 8, 4, 4, 8, 5, 3, 3, 6},
        {3, 5, 8, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 8, 5, 7, 2, 6, 4, 3, 5, 9, 5, 1, 1, 1, 7, 1, 8, 3, 5, 4, 5, 9, 8, 8, 3, 5, 2, 3, 8, 5, 9, 1, 1, 9, 4, 3, 9, 9, 1, 2, 7, 8},
        {5, 5, 5, 9, 6, 7, 2, 7, 5, 4, 1, 7, 2, 7, 9, 1, 2, 4, 2, 2, 6, 4, 6, 4, 6, 1, 3, 3, 2, 4, 2, 4, 5, 9, 8, 1, 6, 5, 1, 3, 1, 8, 9, 6, 3, 8, 1, 6, 6, 2, 5, 5, 3, 1},
        {1, 7, 7, 4, 9, 3, 4, 5, 6, 5, 2, 5, 1, 6, 5, 9, 5, 7, 9, 3, 1, 4, 7, 4, 1, 9, 9, 7, 6, 6, 5, 4, 9, 1, 9, 5, 2, 7, 9, 7, 7, 3, 8, 4, 5, 5, 2, 3, 5, 3, 2, 9, 3, 2},
        {6, 7, 6, 9, 3, 8, 1, 1, 2, 1, 1, 3, 2, 9, 5, 5, 7, 4, 7, 5, 8, 2, 5, 4, 5, 1, 9, 8, 3, 5, 4, 2, 7, 6, 6, 8, 3, 6, 2, 1, 1, 4, 6, 6, 4, 6, 7, 3, 9, 3, 4, 2, 7, 3},
        {2, 4, 2, 1, 6, 8, 2, 2, 1, 8, 1, 8, 6, 6, 4, 4, 7, 9, 2, 8, 2, 4, 1, 4, 9, 5, 1, 2, 3, 2, 7, 9, 5, 8, 7, 4, 8, 3, 5, 4, 8, 3, 3, 9, 4, 5, 5, 7, 2, 6, 5, 2, 3, 8}
    };
    calculate((unsigned int*) altitude_map_8, 34, 54);
    printf("\n");


    printf("TEST: altitude_map_9\n");
    printf("EXPECTING: contains a 19x19 grid of 6s at (18 , 21)\n");
    unsigned int altitude_map_9[42][63] = {
        {5, 4, 7, 8, 9, 2, 3, 7, 1, 9, 3, 2, 4, 2, 5, 1, 8, 3, 6, 9, 4, 8, 1, 6, 7, 1, 9, 8, 7, 6, 1, 1, 4, 1, 3, 4, 1, 2, 2, 3, 8, 1, 7, 8, 3, 5, 8, 5, 6, 7, 1, 1, 7, 4, 6, 9, 9, 7, 4, 5, 9, 2, 9},
        {7, 9, 6, 1, 4, 9, 7, 6, 3, 3, 9, 3, 7, 4, 9, 1, 3, 3, 1, 8, 7, 9, 8, 7, 6, 1, 5, 6, 8, 1, 7, 6, 8, 5, 9, 2, 8, 3, 8, 5, 6, 9, 1, 8, 9, 5, 8, 7, 9, 4, 7, 6, 1, 6, 9, 5, 4, 9, 1, 1, 3, 9, 2},
        {9, 6, 6, 5, 8, 9, 3, 2, 8, 5, 2, 9, 5, 5, 7, 9, 3, 5, 3, 1, 1, 7, 8, 1, 7, 1, 8, 2, 7, 1, 6, 9, 4, 6, 8, 4, 3, 9, 3, 9, 1, 8, 9, 7, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {6, 8, 4, 5, 7, 9, 8, 4, 7, 3, 8, 3, 7, 8, 6, 4, 8, 2, 7, 8, 1, 4, 8, 4, 3, 5, 9, 9, 9, 9, 9, 9, 9, 8, 6, 1, 5, 4, 3, 7, 5, 6, 4, 9, 6, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 4},
        {8, 6, 8, 7, 6, 1, 4, 3, 9, 8, 6, 5, 9, 5, 4, 4, 5, 8, 7, 7, 7, 5, 3, 9, 7, 8, 3, 9, 9, 9, 9, 9, 9, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 6},
        {2, 6, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 1, 3, 9, 9, 9, 9, 9, 9, 1, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2},
        {4, 9, 1, 3, 5, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 7, 9, 9, 9, 9, 9, 9, 4, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3},
        {6, 5, 2, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 1, 9, 9, 9, 9, 9, 9, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 6},
        {3, 6, 2, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 1, 7, 9, 9, 9, 9, 9, 9, 6, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 7},
        {8, 6, 3, 1, 7, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 4, 2, 2, 6, 3, 7, 6, 7, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4},
        {2, 7, 4, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 1},
        {8, 6, 4, 5, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6},
        {6, 2, 6, 6, 1, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3},
        {9, 4, 9, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3},
        {3, 5, 8, 2, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8},
        {1, 7, 8, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4},
        {4, 2, 8, 8, 2, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 8, 9, 8, 1, 8, 4, 7, 3, 5, 4, 1, 7, 2, 6},
        {3, 3, 9, 5, 5, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 1, 1, 2, 1, 1, 6, 3, 6, 8, 5, 1},
        {2, 7, 9, 2, 2, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 7, 7, 4, 6, 3, 6, 8, 1, 5},
        {3, 2, 4, 4, 7, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 1, 9, 4, 5, 9, 1, 5, 1, 8, 8, 7},
        {2, 2, 2, 3, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 4, 2, 9, 5, 6, 8, 3, 1, 6, 7, 1},
        {8, 8, 4, 1, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 4, 4, 6, 1, 6, 4, 8, 9, 3, 5},
        {6, 2, 2, 3, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 4, 6, 1, 8, 7, 3, 1, 7},
        {7, 2, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 1},
        {1, 4, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 3, 7, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 6},
        {4, 6, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 8, 4, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9},
        {2, 1, 6, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 3},
        {6, 8, 1, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 6, 4, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 8},
        {9, 5, 9, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 8, 2, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7},
        {9, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 3, 8, 3, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9},
        {6, 8, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 8, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4},
        {7, 1, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 4, 6, 7, 1, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 5},
        {1, 2, 1, 7, 9, 6, 5, 8, 3, 4, 2, 8, 7, 1, 7, 8, 9, 9, 3, 5, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3},
        {5, 2, 6, 9, 4, 9, 7, 9, 2, 8, 1, 2, 5, 3, 3, 7, 4, 6, 9, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7},
        {6, 3, 4, 3, 4, 3, 1, 2, 6, 5, 9, 6, 3, 6, 9, 7, 7, 5, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6},
        {9, 2, 5, 3, 7, 2, 3, 8, 9, 1, 5, 2, 7, 3, 9, 9, 7, 1, 3, 5, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 1},
        {2, 4, 8, 8, 4, 7, 9, 2, 3, 8, 6, 9, 9, 2, 2, 3, 2, 5, 7, 7, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5},
        {5, 5, 1, 4, 4, 8, 2, 3, 1, 2, 6, 4, 8, 4, 9, 4, 3, 4, 9, 3, 5, 1, 5, 6, 8, 1, 1, 6, 8, 1, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 8},
        {2, 2, 1, 6, 7, 7, 8, 1, 1, 6, 6, 9, 8, 8, 9, 7, 2, 2, 5, 2, 4, 6, 6, 2, 1, 9, 7, 3, 6, 6, 5, 1, 1, 1, 9, 7, 4, 7, 6, 7, 2, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4},
        {5, 2, 6, 2, 9, 9, 8, 2, 3, 3, 8, 4, 6, 8, 3, 3, 2, 2, 2, 3, 1, 9, 3, 3, 8, 2, 7, 6, 5, 7, 1, 2, 1, 3, 3, 7, 9, 4, 6, 7, 1, 4, 7, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 4},
        {9, 4, 3, 2, 4, 1, 2, 8, 1, 4, 8, 9, 9, 2, 7, 4, 7, 4, 1, 3, 3, 1, 1, 8, 6, 2, 4, 7, 6, 4, 2, 4, 3, 9, 5, 6, 7, 3, 6, 4, 2, 5, 4, 8, 2, 7, 7, 5, 2, 5, 9, 3, 4, 6, 3, 9, 5, 9, 4, 1, 7, 6, 2},
        {5, 8, 4, 3, 9, 1, 9, 4, 5, 8, 4, 9, 6, 2, 3, 7, 8, 1, 2, 9, 6, 9, 4, 4, 5, 1, 6, 1, 6, 7, 7, 1, 8, 1, 7, 2, 7, 1, 5, 2, 1, 8, 4, 7, 4, 7, 2, 8, 4, 8, 1, 7, 1, 8, 1, 9, 7, 5, 2, 4, 9, 5, 6}
    };
    calculate((unsigned int*) altitude_map_9, 42, 63);
    printf("\n");


    printf("TEST: altitude_map_10\n");
    printf("EXPECTING: contains a 10x10 grid of 9s at (23 , 26)\n");
    unsigned int altitude_map_10[46][73] = {
        {8, 7, 9, 8, 3, 2, 6, 2, 1, 8, 9, 3, 7, 5, 8, 1, 6, 5, 9, 5, 1, 6, 6, 8, 1, 5, 2, 6, 9, 3, 8, 3, 2, 6, 4, 1, 8, 4, 1, 5, 4, 9, 1, 8, 6, 3, 5, 4, 7, 5, 6, 6, 6, 8, 6, 2, 8, 1, 2, 8, 4, 6, 9, 8, 1, 8, 6, 5, 4, 6, 8, 4, 7},
        {3, 2, 8, 2, 9, 8, 6, 6, 5, 2, 2, 8, 8, 7, 9, 4, 8, 4, 3, 8, 2, 9, 2, 1, 8, 7, 7, 8, 3, 6, 7, 3, 1, 3, 9, 5, 7, 2, 6, 9, 6, 5, 9, 1, 6, 9, 7, 7, 2, 6, 5, 1, 1, 6, 3, 7, 3, 9, 7, 7, 4, 4, 4, 3, 4, 9, 4, 5, 9, 6, 3, 4, 7},
        {1, 8, 6, 6, 3, 8, 3, 8, 2, 2, 8, 6, 3, 5, 9, 4, 7, 3, 8, 6, 4, 6, 1, 1, 8, 2, 7, 9, 1, 1, 8, 6, 9, 3, 8, 4, 4, 9, 9, 3, 8, 7, 9, 4, 7, 8, 7, 8, 6, 9, 3, 4, 2, 8, 4, 1, 6, 4, 6, 3, 5, 4, 9, 3, 8, 9, 9, 8, 8, 3, 8, 8, 3},
        {7, 4, 4, 2, 8, 8, 9, 1, 3, 1, 6, 9, 2, 6, 3, 6, 7, 4, 5, 4, 6, 6, 7, 8, 1, 7, 9, 8, 1, 4, 6, 9, 8, 6, 2, 6, 7, 1, 1, 5, 8, 1, 1, 3, 6, 9, 9, 7, 2, 1, 1, 7, 5, 4, 9, 6, 6, 8, 8, 1, 6, 4, 9, 4, 3, 1, 3, 9, 5, 5, 1, 8, 6},
        {8, 3, 1, 5, 4, 2, 5, 8, 6, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 8, 9, 4, 2, 1, 4, 8, 6, 7, 4, 3, 4, 4, 8, 9, 8, 1, 9, 2, 5, 8, 8, 4, 6, 6, 9, 2, 9, 5, 8, 3, 7, 8, 8, 6, 7, 6, 2, 4, 5, 6, 6, 7, 5, 5, 2, 7, 8, 6},
        {8, 3, 9, 2, 1, 5, 7, 5, 5, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 6, 8, 2, 6, 2, 4, 7, 4, 5, 4, 8, 3, 8, 6, 1, 4, 6, 6, 7, 2, 3, 3, 5, 4, 2, 7, 4, 3, 3, 2, 7, 7, 5, 8, 6, 9, 4, 2, 2, 7, 8, 9, 2, 9, 2, 8, 4, 9, 7, 2, 5},
        {5, 9, 6, 5, 5, 2, 2, 2, 1, 6, 7, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 9, 1, 5, 8, 2, 4, 4, 9, 7, 4, 7, 1, 4, 9, 4, 6, 5, 2, 2, 6, 8, 4, 3, 4, 4, 8, 1, 5, 1, 9, 8, 2, 4, 2, 9, 2, 1, 2, 7, 9, 1, 5, 7, 6, 1, 8, 9, 2, 1},
        {2, 7, 1, 2, 4, 2, 9, 1, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 5, 3, 7, 3, 5, 1, 5, 8, 5, 9, 3, 3, 1, 8, 1, 5, 8, 9, 1, 4, 2, 3, 3, 7, 1, 4, 4, 8, 3, 5, 9, 6, 9, 1, 3, 6, 5, 3, 8, 5, 8, 3, 8, 9, 7, 6, 6, 2, 9, 7, 6},
        {3, 3, 4, 6, 2, 7, 6, 4, 5, 9, 1, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 7, 2, 6, 7, 6, 5, 1, 8, 5, 3, 9, 5, 4, 9, 5, 8, 1, 3, 9, 3, 8, 5, 9, 4, 7, 9, 7, 5, 2, 4, 4, 9, 2, 4, 1, 4, 7, 6, 9, 7, 5, 1, 6, 7, 6, 7, 8, 8, 1, 5, 9},
        {4, 3, 6, 5, 8, 1, 6, 1, 7, 9, 8, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 2, 3, 1, 5, 2, 9, 2, 8, 5, 2, 2, 5, 6, 3, 1, 6, 3, 4, 2, 3, 3, 9, 1, 8, 8, 6, 6, 9, 3, 3, 5, 1, 3, 2, 7, 9, 2, 4, 6, 7, 3, 2, 2, 3, 1, 5, 2, 1, 2, 4},
        {2, 2, 4, 9, 2, 1, 9, 8, 2, 4, 7, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 4, 9, 7, 1, 5, 5, 3, 3, 6, 6, 8, 6, 3, 2, 8, 4, 6, 9, 9, 2, 5, 6, 4, 2, 9, 8, 4, 5, 6, 9, 5, 1, 9, 6, 1, 9, 8, 3, 8, 1, 3, 9, 8, 9, 8, 4, 2, 3, 6, 5},
        {4, 2, 4, 1, 9, 3, 3, 9, 7, 9, 9, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 4, 9, 9, 1, 6, 1, 7, 2, 8, 3, 9, 4, 6, 5, 2, 6, 1, 6, 8, 6, 6, 7, 3, 5, 8, 3, 6, 3, 8, 4, 9, 9, 3, 8, 6, 4, 5, 4, 2, 3, 4, 5, 9, 9, 7, 5, 3, 4, 6, 7},
        {5, 6, 4, 7, 8, 3, 6, 3, 9, 8, 6, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 4, 3, 4, 1, 8, 5, 2, 3, 2, 3, 3, 8, 9, 5, 8, 5, 3, 4, 9, 6, 1, 9, 4, 8, 3, 1, 9, 6, 4, 5, 4, 6, 2, 7, 7, 3, 5, 5, 1, 1, 3, 4, 5, 3, 3, 7, 8, 3, 8, 4},
        {9, 1, 1, 7, 1, 1, 6, 6, 9, 7, 8, 9, 6, 9, 5, 4, 1, 2, 1, 3, 4, 6, 6, 8, 5, 1, 4, 4, 4, 9, 2, 7, 9, 9, 3, 9, 9, 2, 9, 2, 9, 9, 6, 3, 8, 6, 9, 5, 6, 2, 1, 6, 9, 6, 6, 2, 3, 4, 9, 1, 4, 7, 4, 7, 8, 3, 6, 5, 6, 9, 8, 5, 3},
        {5, 1, 1, 8, 7, 2, 6, 9, 4, 7, 5, 6, 5, 6, 2, 3, 7, 6, 1, 7, 5, 2, 7, 3, 4, 1, 2, 7, 1, 5, 3, 5, 8, 1, 5, 1, 5, 6, 8, 2, 2, 9, 6, 4, 2, 9, 7, 6, 4, 7, 6, 4, 9, 2, 5, 1, 8, 6, 8, 4, 7, 3, 5, 1, 9, 2, 2, 6, 4, 5, 1, 5, 4},
        {1, 8, 6, 2, 7, 7, 5, 1, 4, 1, 1, 2, 2, 8, 3, 9, 9, 2, 6, 9, 1, 9, 9, 5, 9, 6, 7, 3, 7, 8, 7, 2, 8, 8, 3, 1, 7, 3, 3, 6, 8, 2, 1, 2, 7, 9, 5, 2, 7, 1, 4, 9, 7, 1, 6, 6, 3, 8, 5, 6, 6, 6, 6, 6, 6, 6, 8, 5, 6, 8, 5, 5, 5},
        {9, 9, 2, 4, 7, 2, 7, 1, 6, 7, 1, 1, 8, 4, 7, 1, 8, 9, 1, 9, 8, 3, 8, 3, 4, 4, 2, 3, 9, 7, 1, 7, 5, 6, 6, 6, 1, 6, 5, 8, 8, 8, 8, 8, 1, 4, 1, 4, 2, 3, 9, 3, 7, 7, 4, 3, 4, 7, 2, 6, 6, 6, 6, 6, 6, 6, 3, 6, 5, 5, 8, 6, 2},
        {2, 7, 9, 5, 6, 6, 6, 7, 4, 8, 3, 9, 4, 5, 4, 6, 5, 5, 9, 8, 9, 7, 7, 1, 6, 9, 1, 8, 8, 1, 5, 6, 4, 6, 6, 6, 2, 2, 7, 8, 8, 8, 8, 8, 5, 4, 9, 4, 5, 9, 3, 8, 6, 4, 4, 4, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 1, 5, 3, 5, 4, 8, 2},
        {5, 2, 7, 9, 7, 6, 1, 5, 5, 9, 3, 2, 5, 3, 6, 9, 8, 5, 3, 3, 8, 9, 4, 8, 7, 7, 1, 1, 1, 4, 9, 9, 6, 6, 6, 6, 7, 2, 5, 8, 8, 8, 8, 8, 2, 3, 7, 3, 3, 3, 3, 2, 2, 5, 2, 9, 4, 3, 8, 6, 6, 6, 6, 6, 6, 6, 8, 1, 8, 8, 6, 4, 7},
        {8, 5, 9, 1, 6, 7, 5, 2, 9, 8, 5, 6, 7, 1, 2, 8, 6, 9, 5, 2, 4, 5, 5, 1, 8, 1, 9, 6, 1, 2, 6, 6, 3, 7, 8, 5, 2, 4, 4, 8, 8, 8, 8, 8, 9, 4, 3, 2, 4, 2, 5, 1, 7, 5, 6, 2, 5, 4, 1, 6, 6, 6, 6, 6, 6, 6, 9, 7, 6, 1, 2, 8, 9},
        {7, 5, 8, 4, 1, 1, 3, 5, 3, 9, 9, 6, 1, 4, 4, 3, 1, 8, 7, 5, 5, 2, 3, 2, 9, 8, 2, 4, 3, 5, 8, 3, 2, 5, 3, 1, 3, 7, 2, 8, 8, 8, 8, 8, 8, 2, 6, 2, 3, 8, 8, 3, 2, 7, 9, 3, 3, 6, 2, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 3, 6, 7, 3},
        {5, 7, 1, 2, 2, 9, 5, 8, 5, 2, 3, 1, 4, 8, 9, 9, 6, 7, 1, 3, 6, 1, 3, 8, 8, 2, 2, 1, 9, 4, 5, 9, 7, 8, 2, 9, 9, 3, 2, 8, 4, 4, 2, 2, 8, 1, 6, 5, 1, 2, 4, 9, 9, 1, 7, 6, 3, 2, 4, 6, 6, 6, 6, 6, 6, 6, 5, 3, 8, 8, 7, 2, 4},
        {7, 5, 7, 2, 8, 1, 6, 2, 7, 5, 9, 1, 7, 2, 2, 7, 7, 9, 4, 3, 9, 6, 7, 9, 3, 9, 3, 3, 1, 3, 7, 9, 5, 7, 1, 3, 2, 6, 7, 3, 4, 7, 9, 4, 4, 6, 2, 5, 9, 8, 9, 9, 3, 9, 7, 6, 6, 4, 7, 8, 9, 8, 2, 1, 7, 6, 2, 4, 8, 7, 6, 1, 7},
        {1, 8, 7, 8, 8, 6, 3, 9, 4, 9, 7, 2, 1, 5, 3, 9, 3, 8, 9, 4, 2, 3, 7, 4, 7, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 4, 9, 4, 1, 1, 2, 3, 4, 1, 1, 9, 4, 9, 9, 3, 4, 4, 5, 1, 6, 8, 2, 4, 6, 4, 5, 6, 4, 5, 7, 5, 4, 9, 6, 4, 4},
        {9, 9, 2, 2, 3, 7, 8, 7, 8, 1, 8, 3, 2, 2, 1, 9, 8, 2, 6, 9, 6, 1, 4, 7, 2, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 9, 5, 2, 6, 2, 1, 4, 8, 2, 5, 1, 1, 4, 8, 7, 9, 7, 9, 6, 3, 7, 6, 2, 1, 2, 3, 9, 4, 3, 1, 2, 2, 5, 7, 6},
        {3, 6, 7, 5, 1, 9, 2, 3, 5, 2, 7, 4, 6, 5, 8, 9, 1, 3, 2, 6, 7, 2, 8, 8, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 5, 7, 8, 8, 7, 2, 7, 5, 7, 4, 4, 3, 7, 5, 2, 9, 2, 7, 5, 2, 8, 7, 6, 2, 1, 7, 2, 2, 7, 4, 6, 2, 8, 4},
        {2, 5, 5, 1, 1, 1, 1, 8, 6, 9, 5, 3, 2, 7, 5, 9, 1, 5, 8, 6, 8, 2, 6, 3, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 1, 4, 1, 1, 2, 8, 8, 1, 4, 8, 2, 1, 7, 2, 2, 8, 4, 4, 4, 4, 6, 9, 7, 4, 3, 8, 1, 7, 1, 9, 7, 6, 5, 6, 8},
        {6, 2, 3, 8, 5, 4, 8, 1, 6, 5, 7, 3, 1, 9, 3, 5, 6, 4, 4, 8, 5, 5, 4, 9, 6, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 1, 7, 8, 9, 1, 4, 8, 5, 9, 7, 3, 6, 3, 1, 1, 7, 3, 4, 4, 4, 4, 4, 7, 3, 5, 8, 2, 4, 6, 6, 7, 7, 8, 1, 5, 4},
        {2, 6, 7, 1, 5, 2, 1, 2, 8, 3, 5, 3, 3, 5, 7, 5, 3, 4, 1, 1, 7, 2, 5, 2, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 2, 4, 8, 5, 2, 9, 1, 2, 1, 7, 3, 9, 8, 3, 2, 4, 5, 4, 4, 4, 4, 1, 2, 5, 5, 8, 9, 6, 2, 3, 8, 1, 2, 3, 1, 6},
        {7, 5, 3, 4, 6, 4, 4, 7, 3, 8, 8, 8, 2, 4, 7, 7, 2, 8, 6, 6, 5, 9, 8, 5, 6, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 1, 9, 4, 4, 7, 2, 1, 6, 7, 3, 2, 3, 5, 7, 3, 5, 4, 4, 4, 4, 3, 7, 4, 8, 3, 8, 8, 7, 2, 5, 5, 9, 6, 4, 2},
        {4, 7, 3, 6, 8, 9, 8, 8, 9, 1, 4, 3, 7, 1, 9, 7, 7, 9, 4, 3, 9, 9, 3, 4, 7, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 4, 6, 2, 3, 6, 2, 6, 9, 9, 2, 2, 7, 7, 6, 1, 8, 4, 6, 8, 4, 7, 1, 5, 5, 8, 6, 8, 9, 4, 2, 9, 3, 6, 8, 7, 3},
        {9, 3, 7, 9, 1, 6, 5, 4, 8, 5, 4, 3, 9, 6, 3, 7, 6, 7, 9, 7, 3, 4, 7, 5, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 3, 1, 6, 7, 1, 7, 6, 3, 5, 7, 1, 7, 8, 2, 9, 5, 2, 7, 2, 8, 1, 4, 1, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 4},
        {4, 8, 5, 4, 7, 7, 5, 6, 5, 3, 7, 3, 7, 9, 8, 6, 9, 3, 3, 1, 6, 4, 4, 6, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 7, 1, 4, 2, 3, 5, 6, 3, 4, 8, 4, 2, 3, 7, 7, 7, 6, 9, 4, 6, 6, 5, 4, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3},
        {6, 7, 4, 8, 1, 2, 3, 2, 4, 9, 4, 6, 7, 1, 5, 9, 6, 6, 9, 7, 6, 7, 3, 4, 7, 9, 6, 4, 4, 4, 4, 4, 4, 5, 6, 2, 7, 3, 9, 1, 3, 7, 1, 3, 7, 9, 5, 2, 2, 6, 8, 6, 2, 8, 8, 4, 9, 2, 7, 7, 1, 8, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3},
        {3, 7, 3, 2, 3, 3, 7, 9, 8, 5, 7, 3, 4, 5, 8, 1, 5, 2, 5, 3, 8, 7, 6, 6, 1, 1, 3, 4, 4, 4, 4, 4, 4, 6, 6, 3, 2, 2, 5, 9, 8, 7, 5, 7, 3, 1, 5, 5, 7, 4, 5, 6, 7, 9, 7, 4, 1, 7, 1, 1, 4, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2},
        {9, 2, 8, 5, 7, 1, 6, 2, 8, 4, 8, 5, 2, 9, 9, 1, 4, 2, 1, 8, 5, 8, 1, 8, 5, 5, 6, 4, 4, 4, 4, 4, 4, 9, 4, 9, 8, 7, 8, 2, 1, 3, 7, 9, 9, 8, 9, 1, 7, 7, 3, 9, 2, 9, 4, 8, 2, 2, 9, 9, 7, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1},
        {7, 8, 6, 3, 2, 6, 3, 2, 7, 2, 4, 8, 2, 5, 9, 3, 1, 2, 3, 4, 8, 1, 2, 2, 8, 1, 9, 4, 4, 4, 4, 4, 4, 1, 5, 5, 2, 1, 3, 2, 5, 4, 6, 4, 2, 5, 8, 6, 1, 4, 1, 4, 6, 3, 6, 9, 6, 6, 8, 3, 6, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7},
        {2, 5, 6, 6, 1, 9, 8, 6, 3, 7, 3, 1, 3, 1, 3, 2, 3, 3, 2, 2, 9, 7, 4, 2, 6, 9, 4, 7, 3, 8, 9, 3, 2, 9, 5, 7, 8, 9, 5, 5, 5, 8, 3, 2, 5, 9, 9, 8, 6, 4, 4, 6, 6, 1, 7, 4, 2, 4, 8, 4, 1, 4, 9, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6},
        {8, 3, 5, 2, 4, 5, 8, 1, 5, 3, 4, 7, 1, 4, 7, 9, 5, 5, 2, 8, 8, 1, 3, 2, 1, 1, 6, 5, 8, 4, 5, 8, 1, 1, 7, 9, 7, 1, 4, 6, 4, 3, 3, 5, 1, 2, 9, 3, 6, 9, 5, 6, 6, 2, 6, 7, 4, 4, 4, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2},
        {6, 9, 1, 6, 8, 4, 6, 1, 4, 5, 7, 1, 6, 5, 2, 7, 2, 8, 9, 4, 3, 3, 7, 6, 4, 9, 8, 5, 7, 6, 7, 4, 7, 3, 1, 1, 4, 3, 5, 7, 1, 4, 7, 1, 3, 5, 5, 6, 9, 7, 8, 9, 5, 1, 9, 2, 3, 9, 6, 5, 1, 6, 1, 3, 8, 7, 2, 2, 7, 7, 8, 8, 8},
        {6, 6, 4, 1, 4, 1, 4, 8, 2, 2, 1, 8, 2, 3, 6, 9, 1, 1, 9, 8, 2, 7, 3, 8, 4, 6, 9, 8, 7, 3, 7, 7, 1, 1, 5, 1, 9, 5, 8, 8, 9, 8, 5, 6, 4, 1, 5, 3, 5, 8, 4, 6, 2, 6, 6, 4, 4, 6, 7, 5, 1, 3, 6, 7, 3, 1, 6, 3, 7, 3, 9, 1, 2},
        {7, 3, 8, 1, 1, 9, 4, 7, 4, 8, 9, 9, 6, 7, 9, 2, 4, 1, 1, 7, 4, 6, 5, 4, 2, 1, 5, 6, 6, 3, 3, 1, 5, 6, 5, 2, 1, 9, 4, 5, 3, 5, 1, 7, 8, 7, 2, 6, 1, 3, 1, 1, 4, 5, 5, 3, 1, 3, 1, 4, 3, 6, 4, 6, 9, 1, 1, 3, 9, 9, 9, 4, 2},
        {9, 5, 4, 3, 5, 5, 1, 1, 8, 8, 4, 6, 2, 4, 5, 2, 1, 4, 7, 1, 6, 1, 4, 7, 5, 8, 6, 5, 7, 1, 7, 2, 6, 9, 1, 3, 7, 5, 1, 2, 4, 1, 4, 6, 9, 3, 9, 9, 3, 6, 1, 2, 5, 7, 7, 1, 7, 9, 6, 2, 2, 5, 1, 4, 6, 8, 6, 6, 8, 8, 1, 6, 3},
        {7, 8, 2, 6, 2, 2, 9, 9, 6, 7, 6, 9, 5, 2, 7, 3, 2, 4, 7, 3, 7, 2, 6, 7, 7, 7, 2, 3, 4, 4, 1, 3, 4, 3, 8, 1, 4, 6, 1, 5, 1, 9, 7, 1, 4, 9, 1, 8, 1, 6, 5, 1, 1, 1, 2, 1, 3, 3, 5, 8, 5, 6, 4, 8, 2, 2, 2, 4, 9, 5, 6, 4, 9},
        {1, 2, 5, 2, 3, 2, 7, 6, 5, 3, 1, 5, 8, 9, 9, 1, 4, 3, 8, 1, 3, 1, 7, 6, 2, 2, 9, 7, 7, 7, 9, 8, 2, 9, 8, 3, 5, 6, 8, 2, 3, 3, 3, 7, 7, 1, 6, 1, 4, 2, 5, 2, 9, 3, 9, 7, 5, 2, 2, 4, 9, 4, 7, 2, 1, 1, 2, 5, 5, 7, 3, 4, 3},
        {3, 2, 9, 5, 6, 6, 8, 7, 2, 7, 1, 5, 7, 6, 2, 4, 9, 4, 1, 4, 1, 2, 8, 2, 5, 8, 6, 7, 9, 5, 4, 2, 4, 7, 5, 9, 6, 3, 7, 5, 1, 1, 6, 2, 3, 1, 1, 8, 3, 4, 5, 7, 9, 6, 1, 5, 9, 9, 8, 7, 6, 8, 7, 4, 6, 6, 4, 3, 7, 6, 9, 8, 1}
    };
    calculate((unsigned int*) altitude_map_10, 46, 73);
    printf("\n");


    printf("TEST: altitude_map_11\n");
    printf("EXPECTING: contains a 37x37 grid of 5s at (5 , 24)\n");
    unsigned int altitude_map_11[52][78] = {
        {2, 1, 2, 4, 3, 5, 4, 3, 1, 6, 1, 9, 6, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 1, 1, 5, 8, 7, 3, 3, 4, 7, 7, 3, 7, 9, 3, 9, 6, 9, 8, 7, 7, 6, 1, 8, 1, 5, 9, 4, 5, 7, 7, 4, 5, 5, 1, 4, 1, 1},
        {7, 8, 2, 5, 9, 8, 4, 2, 6, 3, 2, 6, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 9, 8, 6, 3},
        {7, 4, 6, 5, 3, 1, 4, 9, 5, 1, 4, 3, 6, 1, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 2, 1, 6, 9, 4},
        {1, 6, 3, 7, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 2, 4, 3, 1},
        {2, 4, 5, 4, 5, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 7, 5, 3, 6, 5, 5},
        {9, 6, 8, 4, 3, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 7, 2, 8, 5, 9, 2},
        {2, 8, 7, 4, 2, 3, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 5, 9, 5, 2, 9, 3},
        {2, 3, 1, 2, 1, 9, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 2, 4, 2, 4, 9, 3, 1},
        {1, 2, 9, 2, 2, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 7, 1, 4, 1, 7},
        {9, 3, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 7, 4, 6, 1, 9},
        {8, 4, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 6, 1, 1, 4, 2},
        {8, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 9, 9, 5, 4, 6},
        {1, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 2, 8, 3, 1, 9},
        {9, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 2, 2, 8, 2, 2},
        {5, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 2, 9, 3, 4, 3},
        {7, 2, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 5, 2, 3, 9, 1},
        {7, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 8, 5, 4, 2, 8},
        {8, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 3, 6, 8, 9, 1},
        {4, 2, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 2, 2, 4, 5, 7},
        {1, 9, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 7, 6, 3, 4, 1},
        {6, 3, 5, 8, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 8, 1, 8, 1, 7},
        {1, 1, 6, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 6, 6, 3, 8, 6},
        {4, 4, 4, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 1, 4, 1, 2, 4},
        {9, 3, 9, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 4, 2, 9, 3, 3},
        {4, 7, 3, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 1, 7, 5, 3, 6},
        {2, 9, 4, 9, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 2, 2, 9, 6, 2},
        {8, 7, 7, 9, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 5, 7, 7, 9, 8},
        {3, 3, 4, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 1, 8, 4, 4, 9},
        {5, 5, 9, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 7, 1, 4, 2, 9},
        {9, 1, 2, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 9, 7, 3, 3, 4},
        {9, 7, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 8, 9, 2, 9, 9},
        {3, 6, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 6, 4, 9, 1, 4},
        {3, 6, 6, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 9, 7, 9, 9, 7},
        {5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 4, 5, 5, 5, 8},
        {8, 3, 7, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 9, 4, 9, 6, 5},
        {5, 5, 1, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6},
        {5, 7, 1, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 3, 7, 6, 7, 8},
        {4, 8, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 9, 5, 4, 5, 6},
        {5, 1, 6, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 9, 5, 8, 9},
        {8, 3, 2, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 8, 9, 3, 9, 6},
        {7, 2, 3, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 7, 1, 3},
        {3, 2, 2, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 4, 6, 9, 2, 3, 8, 2, 1},
        {2, 4, 1, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 9, 3, 8, 2, 7, 9, 7},
        {9, 9, 4, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 2, 4, 1, 4, 3},
        {9, 5, 5, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 1, 5, 9, 6, 5, 5, 1},
        {5, 2, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 6, 2, 1, 1, 4, 2, 6},
        {5, 5, 6, 7, 2, 4, 5, 4, 4, 4, 4, 7, 5, 2, 6, 9, 8, 9, 5, 2, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 5, 1, 1, 6, 1, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 4, 3, 9, 8, 2, 6},
        {5, 3, 8, 8, 9, 8, 5, 4, 4, 4, 1, 8, 6, 6, 9, 2, 9, 6, 5, 1, 1, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 5, 6, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 1, 9, 4, 9, 6, 6},
        {4, 4, 2, 6, 7, 7, 2, 7, 7, 8, 3, 5, 7, 3, 9, 9, 5, 2, 9, 5, 3, 9, 5, 3, 5, 5, 1, 2, 8, 5, 4, 4, 7, 9, 8, 2, 8, 8, 1, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 4, 1, 2, 6, 6, 9, 4},
        {5, 1, 8, 5, 1, 4, 3, 5, 7, 5, 4, 8, 4, 3, 4, 6, 7, 6, 6, 4, 8, 1, 1, 3, 3, 2, 4, 8, 9, 4, 3, 1, 3, 5, 3, 5, 9, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8, 9, 7, 9, 5, 8, 5, 1, 6, 6, 7, 1, 6, 3},
        {2, 2, 1, 1, 1, 1, 1, 7, 3, 1, 1, 1, 2, 5, 2, 1, 5, 9, 3, 7, 4, 7, 7, 8, 3, 5, 7, 9, 2, 6, 7, 7, 9, 7, 9, 7, 2, 5, 2, 4, 6, 3, 3, 9, 9, 1, 2, 6, 1, 7, 6, 5, 8, 6, 4, 6, 7, 4, 2, 8, 5, 3, 1, 6, 1, 7, 6, 9, 6, 6, 7, 5, 9, 3, 7, 4, 5, 1},
        {6, 8, 6, 1, 7, 1, 1, 2, 7, 8, 8, 2, 6, 9, 2, 3, 5, 9, 5, 4, 2, 7, 8, 7, 4, 5, 4, 5, 5, 6, 8, 8, 3, 5, 7, 2, 9, 4, 6, 7, 5, 8, 2, 4, 7, 6, 9, 7, 8, 9, 8, 8, 7, 1, 2, 1, 3, 1, 3, 6, 2, 1, 2, 6, 8, 7, 3, 2, 9, 3, 4, 3, 1, 1, 8, 3, 4, 3}
    };
    calculate((unsigned int*) altitude_map_11, 52, 78);
    printf("\n");


    printf("TEST: altitude_map_12\n");
    printf("EXPECTING: contains a 9x9 grid of 6s at (7 , 65)\n");
    unsigned int altitude_map_12[58][88] = {
        {7, 7, 3, 1, 9, 3, 9, 9, 1, 5, 2, 8, 3, 1, 1, 8, 3, 9, 1, 3, 2, 6, 7, 9, 7, 7, 7, 1, 9, 4, 5, 8, 2, 4, 2, 1, 1, 3, 3, 1, 6, 6, 6, 7, 4, 2, 4, 3, 4, 4, 9, 3, 2, 3, 4, 2, 9, 7, 1, 4, 4, 7, 7, 1, 1, 7, 2, 4, 7, 8, 6, 5, 3, 8, 7, 2, 5, 7, 2, 3, 4, 8, 9, 5, 8, 3, 3, 7},
        {5, 5, 6, 1, 6, 2, 6, 9, 4, 1, 6, 5, 5, 9, 6, 4, 1, 3, 1, 4, 9, 1, 1, 5, 7, 4, 8, 9, 2, 8, 2, 4, 3, 9, 4, 7, 7, 5, 2, 8, 8, 1, 8, 7, 3, 1, 6, 9, 7, 1, 9, 9, 3, 3, 4, 9, 1, 5, 3, 1, 3, 5, 9, 4, 3, 8, 6, 6, 7, 6, 7, 6, 6, 9, 9, 6, 9, 5, 4, 2, 6, 5, 6, 4, 6, 3, 8, 4},
        {2, 4, 3, 4, 1, 5, 5, 3, 8, 5, 6, 5, 9, 7, 6, 6, 2, 5, 8, 3, 5, 2, 5, 1, 1, 7, 5, 9, 2, 3, 6, 2, 5, 1, 9, 7, 6, 6, 3, 5, 5, 5, 5, 5, 5, 6, 6, 3, 5, 3, 5, 3, 6, 8, 5, 1, 9, 6, 3, 8, 5, 6, 5, 7, 8, 1, 1, 9, 8, 5, 2, 7, 1, 6, 4, 1, 8, 4, 1, 3, 7, 5, 7, 5, 9, 8, 1, 7},
        {2, 1, 2, 4, 5, 2, 9, 7, 6, 3, 1, 2, 3, 9, 9, 2, 3, 6, 5, 8, 7, 7, 9, 9, 2, 7, 1, 4, 6, 3, 1, 2, 2, 2, 8, 7, 9, 7, 9, 5, 5, 5, 5, 5, 5, 1, 4, 9, 4, 9, 6, 9, 9, 3, 5, 4, 1, 9, 7, 9, 7, 9, 4, 6, 9, 6, 7, 3, 8, 4, 7, 9, 2, 4, 5, 9, 7, 8, 7, 7, 3, 6, 9, 4, 9, 6, 6, 5},
        {3, 5, 8, 2, 7, 4, 9, 4, 1, 2, 1, 9, 8, 8, 7, 4, 9, 1, 1, 6, 1, 8, 2, 6, 9, 7, 5, 6, 6, 3, 3, 9, 2, 5, 1, 8, 2, 9, 8, 5, 5, 5, 5, 5, 5, 3, 4, 4, 6, 7, 4, 9, 3, 5, 4, 1, 3, 8, 1, 7, 3, 9, 2, 3, 2, 9, 2, 6, 7, 2, 4, 2, 4, 7, 1, 3, 7, 7, 7, 3, 8, 1, 7, 6, 7, 5, 2, 3},
        {7, 6, 9, 9, 4, 2, 1, 1, 8, 2, 7, 5, 6, 8, 8, 7, 5, 1, 9, 4, 4, 6, 2, 8, 8, 1, 1, 7, 4, 5, 6, 7, 2, 9, 8, 3, 2, 2, 7, 5, 5, 5, 5, 5, 5, 7, 7, 7, 1, 1, 2, 1, 8, 6, 2, 6, 4, 6, 8, 6, 8, 2, 9, 6, 6, 6, 1, 8, 4, 9, 2, 4, 7, 6, 9, 8, 5, 7, 6, 9, 1, 1, 6, 4, 1, 2, 8, 9},
        {5, 7, 1, 6, 6, 9, 3, 1, 4, 7, 1, 8, 8, 8, 8, 8, 8, 8, 8, 7, 3, 9, 7, 3, 1, 5, 2, 1, 1, 6, 6, 6, 2, 6, 6, 4, 1, 5, 9, 5, 5, 5, 5, 5, 5, 2, 3, 6, 5, 5, 3, 5, 6, 6, 5, 2, 9, 6, 2, 5, 8, 7, 5, 1, 6, 2, 1, 4, 3, 2, 2, 6, 3, 5, 5, 5, 2, 2, 4, 7, 6, 1, 3, 1, 9, 3, 9, 1},
        {4, 9, 7, 7, 4, 5, 1, 8, 7, 2, 3, 8, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 2, 4, 6, 9, 5, 5, 6, 3, 3, 5, 2, 4, 2, 9, 7, 7, 1, 5, 5, 5, 5, 5, 5, 3, 5, 6, 2, 6, 4, 1, 7, 1, 3, 9, 4, 4, 3, 7, 2, 7, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 4, 1, 4, 4, 5, 5, 5, 2, 4, 9, 8, 4},
        {5, 6, 8, 1, 7, 2, 1, 6, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 1, 5, 2, 5, 4, 9, 6, 9, 3, 5, 3, 2, 3, 3, 8, 8, 6, 2, 7, 3, 5, 3, 5, 3, 4, 4, 1, 9, 6, 2, 9, 9, 7, 5, 9, 2, 9, 9, 3, 2, 5, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 3, 5, 7, 7, 2, 8, 5, 5, 4, 5, 8, 2},
        {5, 7, 4, 6, 9, 9, 5, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 4, 2, 5, 7, 2, 1, 8, 9, 6, 2, 3, 7, 9, 4, 3, 8, 1, 6, 1, 5, 1, 7, 6, 9, 5, 4, 5, 3, 3, 1, 7, 8, 6, 1, 2, 5, 5, 9, 5, 3, 6, 9, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 5, 7, 3, 7, 6, 8, 7, 9, 3, 1, 4, 7, 7},
        {2, 8, 9, 4, 2, 9, 9, 9, 7, 1, 2, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 9, 2, 8, 8, 6, 5, 9, 6, 1, 6, 9, 4, 3, 4, 2, 6, 5, 6, 1, 1, 6, 6, 7, 3, 5, 1, 6, 8, 7, 2, 9, 8, 9, 9, 3, 8, 6, 5, 1, 3, 4, 7, 8, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 7, 2, 1, 9, 7, 5, 1, 7, 1, 8, 3, 6},
        {9, 6, 3, 6, 7, 6, 2, 8, 4, 1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 2, 4, 6, 1, 9, 8, 3, 4, 3, 2, 8, 4, 5, 6, 7, 8, 1, 1, 6, 9, 9, 8, 4, 8, 8, 8, 3, 3, 4, 9, 7, 8, 2, 7, 6, 1, 2, 6, 9, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 1, 2, 1, 2, 1, 9, 5, 2, 5, 7, 5, 4, 9},
        {9, 8, 9, 3, 3, 7, 3, 4, 9, 2, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 1, 6, 7, 9, 5, 8, 7, 1, 3, 7, 5, 7, 3, 4, 9, 7, 4, 9, 6, 4, 3, 1, 3, 6, 9, 1, 9, 6, 7, 5, 8, 6, 2, 7, 4, 6, 5, 3, 4, 7, 4, 2, 6, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 1, 9, 4, 4, 9, 2, 1, 6, 5, 3, 2, 3, 1},
        {7, 5, 7, 9, 2, 4, 9, 4, 3, 4, 1, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 2, 1, 9, 3, 1, 5, 2, 3, 3, 7, 9, 1, 5, 4, 3, 1, 8, 4, 9, 6, 3, 7, 9, 1, 4, 2, 6, 8, 6, 9, 7, 9, 1, 5, 5, 8, 5, 8, 7, 7, 4, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 8, 4, 4, 9, 5, 2, 8, 1, 4, 6, 5, 6, 7},
        {8, 8, 2, 3, 1, 4, 1, 5, 1, 7, 2, 7, 4, 9, 3, 3, 7, 6, 2, 9, 8, 1, 9, 7, 6, 6, 6, 9, 9, 5, 2, 3, 1, 4, 8, 9, 1, 5, 6, 4, 8, 4, 5, 3, 9, 2, 2, 8, 3, 1, 4, 9, 5, 2, 4, 4, 7, 6, 3, 2, 2, 4, 6, 8, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 9, 1, 6, 2, 5, 9, 9, 4, 1, 4, 4, 1, 1},
        {7, 9, 4, 1, 4, 7, 9, 2, 5, 8, 8, 9, 8, 3, 9, 3, 8, 7, 9, 4, 8, 9, 9, 5, 2, 8, 2, 2, 9, 7, 6, 2, 2, 7, 6, 8, 6, 1, 4, 2, 3, 1, 6, 2, 6, 7, 2, 7, 8, 8, 8, 6, 9, 2, 2, 1, 7, 6, 8, 5, 9, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 4, 4, 4, 4, 5, 9, 6, 7, 1, 5, 8, 1},
        {8, 4, 6, 5, 7, 3, 6, 6, 1, 9, 7, 5, 7, 2, 2, 7, 4, 1, 1, 9, 2, 7, 4, 7, 8, 8, 9, 8, 9, 7, 4, 3, 8, 4, 1, 8, 7, 6, 4, 6, 5, 8, 8, 5, 4, 3, 7, 5, 3, 6, 7, 9, 2, 3, 2, 9, 2, 7, 7, 5, 2, 5, 2, 4, 7, 8, 1, 8, 3, 1, 6, 7, 2, 4, 1, 9, 7, 3, 1, 2, 8, 1, 8, 1, 2, 7, 1, 1},
        {8, 6, 7, 9, 6, 6, 5, 8, 6, 4, 3, 8, 1, 9, 7, 1, 5, 5, 9, 5, 4, 2, 3, 8, 8, 7, 8, 5, 4, 6, 4, 9, 8, 2, 7, 3, 7, 5, 9, 3, 6, 6, 9, 6, 9, 7, 7, 9, 4, 7, 4, 8, 2, 6, 8, 4, 4, 1, 5, 1, 9, 3, 5, 6, 2, 4, 6, 2, 4, 5, 8, 6, 3, 4, 1, 4, 4, 4, 2, 6, 6, 3, 9, 3, 4, 1, 1, 5},
        {2, 4, 4, 3, 6, 5, 5, 9, 8, 8, 2, 4, 7, 2, 9, 2, 6, 8, 8, 6, 5, 7, 6, 9, 1, 1, 2, 9, 1, 5, 3, 7, 4, 6, 7, 5, 3, 7, 4, 5, 5, 6, 9, 7, 6, 6, 9, 3, 7, 4, 2, 1, 3, 3, 1, 3, 1, 8, 1, 7, 9, 5, 3, 9, 8, 6, 5, 8, 8, 3, 7, 9, 7, 2, 9, 4, 6, 8, 7, 1, 6, 9, 5, 5, 3, 9, 4, 6},
        {8, 4, 6, 5, 5, 5, 7, 8, 3, 2, 7, 5, 2, 9, 8, 5, 3, 4, 9, 9, 4, 2, 9, 9, 6, 3, 3, 2, 5, 9, 3, 1, 2, 2, 1, 7, 5, 5, 6, 6, 8, 3, 9, 9, 5, 2, 1, 8, 3, 2, 1, 5, 1, 8, 9, 6, 4, 5, 3, 9, 8, 3, 4, 2, 8, 6, 8, 6, 2, 8, 4, 7, 3, 1, 8, 7, 7, 1, 2, 4, 5, 6, 7, 8, 3, 6, 6, 6},
        {3, 7, 5, 8, 1, 7, 8, 5, 9, 2, 4, 6, 2, 7, 2, 9, 2, 8, 7, 9, 9, 3, 6, 2, 4, 6, 5, 6, 8, 5, 1, 2, 2, 9, 2, 1, 7, 1, 1, 1, 5, 6, 7, 8, 8, 3, 5, 7, 8, 6, 4, 8, 2, 2, 1, 1, 5, 1, 3, 5, 3, 3, 6, 3, 6, 5, 3, 1, 1, 2, 2, 8, 9, 4, 1, 8, 3, 8, 5, 3, 1, 6, 1, 8, 2, 4, 8, 3},
        {1, 9, 6, 5, 5, 7, 1, 8, 5, 4, 5, 1, 8, 2, 8, 5, 8, 9, 6, 4, 3, 9, 4, 5, 6, 5, 8, 8, 7, 1, 4, 9, 2, 1, 8, 9, 8, 8, 6, 7, 6, 7, 8, 4, 8, 1, 4, 9, 7, 9, 3, 5, 7, 8, 7, 3, 5, 4, 8, 4, 6, 7, 6, 2, 9, 9, 9, 3, 7, 2, 5, 8, 5, 7, 1, 6, 4, 9, 8, 5, 3, 8, 3, 4, 9, 5, 8, 8},
        {1, 5, 7, 5, 2, 2, 7, 8, 9, 1, 9, 4, 9, 4, 8, 7, 5, 4, 7, 4, 8, 2, 6, 6, 2, 1, 8, 8, 3, 4, 8, 7, 5, 3, 1, 2, 4, 7, 4, 1, 5, 4, 3, 6, 1, 9, 7, 2, 3, 7, 3, 8, 9, 8, 6, 5, 1, 1, 1, 9, 4, 6, 7, 5, 1, 9, 6, 8, 2, 8, 3, 4, 9, 5, 6, 7, 9, 5, 3, 3, 7, 9, 5, 4, 6, 5, 4, 6},
        {8, 7, 4, 1, 7, 5, 8, 6, 4, 8, 1, 1, 3, 6, 5, 5, 9, 3, 3, 9, 7, 4, 3, 4, 8, 2, 2, 8, 7, 3, 5, 8, 4, 3, 4, 6, 2, 5, 3, 1, 4, 9, 5, 3, 3, 4, 7, 7, 9, 8, 4, 8, 3, 7, 6, 4, 5, 1, 6, 4, 3, 6, 4, 1, 7, 9, 4, 9, 2, 6, 6, 7, 6, 5, 8, 4, 3, 3, 9, 9, 8, 8, 2, 7, 2, 7, 2, 4},
        {1, 3, 8, 9, 7, 3, 2, 4, 7, 7, 5, 7, 6, 2, 4, 5, 1, 9, 3, 5, 1, 3, 4, 9, 1, 7, 7, 1, 3, 5, 2, 8, 4, 1, 4, 5, 8, 4, 9, 1, 3, 5, 2, 1, 4, 7, 4, 8, 3, 7, 9, 4, 6, 6, 4, 8, 7, 3, 5, 5, 5, 8, 5, 6, 1, 3, 6, 3, 2, 9, 3, 1, 8, 4, 7, 6, 7, 1, 7, 9, 1, 1, 2, 4, 6, 4, 9, 9},
        {1, 7, 4, 8, 5, 7, 3, 1, 3, 4, 7, 2, 7, 4, 9, 1, 8, 8, 6, 5, 3, 7, 7, 4, 3, 3, 4, 5, 8, 4, 8, 2, 1, 5, 8, 7, 7, 5, 4, 9, 9, 7, 2, 6, 9, 5, 3, 7, 7, 6, 3, 2, 4, 8, 3, 9, 1, 2, 2, 9, 3, 2, 6, 4, 4, 9, 5, 4, 7, 9, 9, 9, 8, 4, 8, 6, 6, 8, 1, 4, 2, 4, 9, 8, 6, 5, 5, 1},
        {1, 5, 7, 1, 6, 4, 5, 3, 1, 2, 3, 8, 7, 4, 3, 3, 1, 5, 3, 3, 3, 2, 3, 3, 1, 6, 4, 4, 9, 1, 8, 1, 7, 4, 6, 2, 2, 5, 2, 3, 1, 8, 2, 1, 4, 8, 8, 5, 9, 3, 9, 3, 1, 4, 4, 6, 2, 2, 6, 9, 9, 9, 2, 2, 9, 4, 1, 9, 3, 4, 6, 5, 1, 3, 6, 5, 7, 1, 8, 5, 7, 7, 5, 7, 9, 2, 7, 9},
        {1, 6, 8, 7, 4, 6, 5, 5, 2, 6, 7, 3, 4, 1, 8, 8, 9, 7, 1, 7, 6, 5, 1, 6, 3, 4, 5, 8, 5, 7, 4, 9, 4, 9, 5, 1, 9, 5, 1, 3, 3, 8, 3, 6, 5, 5, 9, 1, 8, 4, 5, 8, 9, 6, 9, 4, 2, 2, 4, 5, 5, 4, 9, 4, 1, 2, 1, 4, 4, 3, 3, 6, 6, 9, 7, 3, 2, 1, 2, 1, 5, 4, 3, 3, 7, 3, 4, 8},
        {5, 9, 8, 3, 8, 4, 3, 6, 9, 4, 3, 4, 7, 9, 1, 9, 4, 6, 3, 3, 4, 8, 1, 1, 2, 5, 1, 5, 9, 1, 2, 7, 3, 5, 5, 6, 1, 5, 2, 3, 9, 4, 6, 6, 7, 6, 4, 8, 5, 6, 6, 7, 4, 4, 6, 4, 5, 7, 9, 2, 9, 5, 6, 9, 8, 9, 1, 9, 5, 5, 3, 5, 7, 8, 7, 6, 3, 1, 2, 2, 9, 2, 3, 7, 8, 2, 2, 4},
        {2, 6, 9, 9, 8, 7, 6, 6, 2, 2, 6, 9, 4, 1, 7, 7, 7, 4, 1, 7, 1, 8, 3, 3, 2, 3, 8, 1, 6, 9, 6, 7, 3, 6, 2, 5, 8, 3, 5, 8, 6, 1, 8, 2, 8, 1, 1, 6, 3, 8, 9, 8, 5, 9, 8, 2, 3, 7, 4, 3, 3, 8, 5, 2, 5, 9, 9, 4, 8, 8, 8, 2, 6, 6, 4, 1, 7, 9, 1, 9, 8, 2, 7, 5, 1, 4, 8, 5},
        {4, 5, 1, 9, 8, 4, 8, 6, 7, 2, 9, 1, 3, 4, 4, 7, 6, 9, 5, 2, 1, 7, 7, 9, 4, 9, 5, 8, 9, 2, 1, 6, 6, 6, 2, 6, 8, 9, 4, 3, 1, 5, 3, 4, 3, 7, 8, 5, 2, 9, 4, 8, 2, 5, 1, 7, 5, 5, 5, 7, 5, 8, 1, 9, 5, 4, 7, 8, 6, 7, 9, 5, 7, 6, 5, 8, 4, 1, 2, 1, 2, 7, 4, 1, 4, 7, 2, 7},
        {3, 6, 7, 3, 3, 4, 7, 6, 4, 3, 1, 2, 3, 8, 1, 8, 1, 8, 7, 6, 9, 3, 8, 9, 2, 1, 8, 2, 4, 4, 2, 7, 2, 1, 4, 4, 6, 1, 2, 4, 9, 1, 2, 3, 9, 8, 8, 7, 8, 8, 9, 1, 6, 1, 5, 9, 8, 6, 2, 2, 7, 7, 9, 1, 5, 2, 5, 7, 9, 6, 9, 8, 1, 8, 9, 1, 9, 7, 6, 8, 7, 3, 7, 2, 7, 6, 8, 5},
        {9, 8, 4, 9, 9, 2, 6, 1, 3, 6, 6, 1, 3, 4, 4, 9, 2, 1, 5, 3, 2, 2, 8, 7, 5, 6, 4, 2, 7, 1, 9, 6, 8, 3, 4, 1, 3, 1, 2, 3, 3, 6, 4, 2, 3, 7, 7, 2, 5, 1, 3, 2, 7, 3, 6, 1, 4, 4, 3, 7, 7, 4, 1, 3, 8, 8, 2, 5, 3, 9, 1, 6, 2, 8, 4, 4, 6, 8, 7, 1, 5, 8, 8, 3, 5, 1, 9, 7},
        {2, 9, 2, 4, 6, 2, 5, 4, 8, 9, 9, 1, 9, 7, 6, 5, 5, 8, 8, 7, 8, 5, 2, 4, 3, 6, 3, 3, 3, 9, 8, 9, 4, 8, 9, 7, 1, 5, 6, 4, 9, 7, 5, 6, 2, 9, 1, 8, 4, 3, 4, 3, 8, 3, 9, 9, 5, 8, 7, 5, 5, 1, 9, 8, 3, 6, 2, 3, 1, 9, 2, 3, 8, 5, 4, 6, 3, 4, 3, 4, 8, 8, 7, 3, 7, 5, 4, 3},
        {8, 7, 4, 7, 6, 7, 4, 6, 8, 3, 3, 5, 3, 2, 7, 1, 3, 7, 7, 7, 5, 9, 5, 4, 5, 7, 9, 3, 7, 8, 8, 7, 2, 9, 8, 6, 4, 4, 4, 9, 8, 2, 5, 8, 4, 1, 9, 9, 8, 9, 9, 9, 7, 9, 7, 8, 5, 9, 8, 7, 1, 8, 6, 1, 3, 7, 6, 8, 8, 5, 4, 7, 4, 9, 1, 9, 5, 5, 1, 9, 7, 2, 9, 9, 2, 2, 6, 1},
        {6, 8, 5, 9, 6, 8, 1, 9, 7, 5, 3, 5, 9, 9, 1, 9, 7, 5, 7, 1, 2, 7, 3, 5, 9, 9, 6, 3, 3, 7, 2, 5, 2, 9, 9, 9, 5, 7, 4, 4, 6, 6, 5, 7, 9, 6, 6, 6, 1, 6, 4, 6, 8, 3, 9, 7, 5, 9, 1, 5, 4, 7, 1, 3, 8, 7, 5, 3, 9, 2, 2, 5, 2, 5, 2, 5, 7, 5, 6, 9, 8, 7, 3, 5, 2, 8, 1, 5},
        {3, 7, 9, 2, 9, 8, 4, 8, 6, 7, 9, 2, 2, 2, 4, 4, 1, 4, 3, 3, 4, 1, 6, 8, 5, 8, 1, 6, 6, 7, 2, 9, 8, 3, 3, 3, 7, 6, 1, 4, 6, 7, 3, 5, 8, 9, 5, 8, 4, 9, 4, 2, 1, 8, 4, 7, 5, 5, 9, 3, 9, 8, 2, 1, 3, 5, 6, 4, 7, 5, 1, 1, 3, 1, 5, 5, 7, 7, 5, 8, 7, 7, 4, 1, 6, 3, 1, 1},
        {2, 6, 3, 7, 9, 4, 6, 2, 7, 5, 3, 1, 1, 2, 5, 3, 6, 1, 8, 5, 2, 2, 4, 8, 8, 8, 1, 9, 7, 2, 4, 7, 6, 3, 5, 9, 7, 1, 9, 5, 8, 3, 6, 6, 7, 1, 8, 1, 9, 9, 5, 1, 7, 4, 3, 8, 5, 9, 5, 6, 3, 7, 7, 4, 9, 8, 1, 3, 9, 5, 7, 2, 3, 4, 4, 2, 8, 5, 1, 5, 5, 2, 7, 3, 4, 9, 1, 9},
        {1, 1, 8, 4, 8, 2, 3, 5, 8, 3, 8, 4, 2, 5, 4, 8, 3, 1, 8, 9, 2, 5, 7, 3, 1, 1, 5, 7, 6, 8, 3, 2, 2, 2, 9, 1, 8, 8, 3, 5, 4, 7, 5, 1, 3, 8, 8, 2, 4, 2, 3, 5, 1, 5, 7, 2, 2, 5, 7, 6, 2, 1, 2, 6, 2, 9, 1, 9, 6, 1, 5, 7, 5, 3, 9, 3, 7, 6, 9, 5, 9, 8, 6, 4, 6, 4, 9, 9},
        {7, 3, 2, 6, 6, 6, 7, 2, 6, 4, 9, 2, 1, 2, 4, 3, 4, 2, 4, 2, 1, 6, 1, 7, 5, 3, 4, 6, 5, 5, 8, 8, 1, 8, 3, 9, 8, 3, 4, 2, 2, 9, 5, 4, 5, 8, 7, 9, 4, 3, 5, 6, 7, 5, 3, 1, 4, 5, 8, 8, 4, 1, 3, 9, 5, 7, 5, 8, 2, 1, 3, 9, 2, 9, 5, 3, 1, 5, 8, 8, 4, 5, 3, 5, 5, 7, 5, 6},
        {9, 6, 8, 9, 9, 2, 9, 3, 9, 2, 3, 4, 7, 4, 7, 8, 3, 3, 8, 9, 2, 5, 8, 7, 7, 5, 3, 5, 9, 7, 8, 9, 8, 1, 2, 1, 2, 4, 9, 6, 2, 5, 8, 9, 8, 2, 8, 9, 1, 6, 7, 5, 1, 1, 8, 7, 1, 6, 4, 2, 7, 7, 5, 2, 3, 8, 1, 9, 3, 2, 8, 4, 9, 4, 9, 3, 1, 1, 5, 1, 2, 6, 5, 2, 5, 8, 9, 6},
        {2, 2, 9, 9, 3, 3, 9, 8, 7, 1, 8, 8, 6, 7, 9, 9, 4, 3, 6, 3, 2, 1, 9, 1, 9, 5, 9, 3, 8, 1, 5, 8, 3, 7, 5, 4, 6, 6, 1, 1, 7, 6, 5, 1, 1, 1, 8, 7, 5, 4, 2, 6, 8, 6, 2, 6, 9, 4, 5, 1, 6, 7, 4, 2, 7, 6, 4, 1, 7, 2, 2, 2, 6, 3, 6, 6, 6, 9, 8, 9, 6, 9, 9, 4, 4, 4, 6, 3},
        {2, 7, 9, 4, 5, 1, 7, 4, 1, 3, 9, 4, 8, 4, 5, 8, 8, 3, 5, 1, 6, 1, 3, 3, 3, 7, 9, 8, 4, 3, 5, 6, 1, 4, 6, 8, 2, 6, 7, 9, 6, 5, 7, 6, 7, 5, 4, 7, 7, 1, 5, 2, 7, 4, 9, 5, 5, 3, 6, 4, 9, 9, 1, 4, 5, 2, 9, 3, 5, 6, 5, 7, 6, 2, 2, 2, 1, 5, 7, 1, 6, 6, 1, 2, 7, 9, 1, 3},
        {2, 5, 1, 9, 5, 6, 3, 3, 3, 6, 9, 3, 6, 2, 9, 1, 5, 5, 2, 9, 3, 8, 8, 9, 1, 4, 4, 1, 4, 5, 8, 6, 9, 7, 7, 8, 5, 9, 2, 2, 5, 7, 6, 6, 3, 6, 4, 7, 7, 9, 8, 9, 4, 9, 8, 5, 9, 6, 2, 6, 5, 2, 6, 9, 6, 3, 6, 5, 2, 7, 3, 7, 7, 1, 6, 4, 4, 4, 2, 5, 4, 2, 5, 7, 4, 3, 6, 7},
        {2, 5, 4, 5, 7, 2, 8, 1, 5, 3, 8, 2, 6, 8, 7, 3, 5, 8, 5, 3, 3, 6, 2, 1, 5, 5, 4, 9, 3, 9, 8, 7, 1, 6, 7, 8, 4, 1, 3, 9, 9, 8, 1, 8, 6, 7, 7, 3, 2, 6, 3, 7, 2, 8, 4, 5, 7, 5, 7, 9, 9, 4, 8, 7, 1, 5, 3, 3, 9, 7, 5, 5, 4, 4, 1, 2, 8, 9, 8, 5, 7, 5, 9, 9, 9, 3, 7, 6},
        {9, 5, 3, 8, 2, 1, 6, 4, 1, 2, 9, 1, 4, 1, 5, 8, 5, 6, 8, 8, 2, 8, 7, 9, 5, 6, 7, 2, 2, 8, 7, 2, 5, 1, 8, 3, 8, 6, 3, 3, 2, 5, 4, 1, 1, 4, 3, 9, 1, 8, 8, 8, 5, 5, 4, 9, 1, 8, 9, 4, 2, 2, 6, 7, 3, 8, 1, 4, 6, 8, 2, 4, 3, 7, 1, 2, 6, 3, 8, 9, 9, 7, 4, 8, 4, 2, 5, 1},
        {3, 2, 5, 7, 5, 9, 5, 9, 7, 4, 3, 7, 3, 4, 6, 9, 5, 9, 7, 3, 5, 6, 9, 8, 9, 4, 5, 2, 1, 1, 4, 5, 3, 7, 3, 6, 4, 1, 7, 9, 8, 6, 3, 9, 6, 7, 6, 3, 7, 8, 2, 5, 7, 9, 1, 8, 4, 7, 4, 3, 9, 3, 5, 4, 2, 3, 3, 3, 5, 6, 7, 7, 4, 3, 9, 3, 2, 8, 8, 6, 1, 4, 7, 1, 6, 8, 3, 4},
        {2, 5, 6, 5, 1, 9, 1, 8, 2, 2, 2, 2, 7, 2, 8, 9, 8, 9, 2, 6, 5, 2, 8, 3, 3, 8, 2, 7, 4, 6, 3, 6, 1, 1, 8, 5, 6, 5, 7, 3, 8, 8, 3, 6, 1, 5, 7, 5, 8, 1, 3, 5, 6, 9, 4, 4, 9, 4, 1, 1, 4, 9, 2, 3, 8, 3, 4, 1, 5, 7, 5, 9, 9, 2, 8, 7, 1, 1, 8, 9, 1, 3, 1, 1, 5, 6, 9, 1},
        {1, 3, 8, 6, 4, 2, 7, 1, 7, 5, 1, 6, 1, 4, 7, 6, 5, 9, 1, 9, 1, 4, 6, 2, 9, 8, 9, 7, 3, 3, 6, 3, 3, 4, 9, 9, 8, 3, 7, 7, 2, 4, 9, 5, 8, 2, 2, 5, 9, 2, 2, 4, 6, 2, 5, 5, 1, 5, 7, 1, 8, 2, 4, 9, 5, 3, 6, 9, 2, 1, 7, 2, 5, 7, 3, 8, 8, 8, 8, 8, 8, 8, 7, 5, 3, 4, 2, 6},
        {4, 4, 9, 6, 7, 3, 5, 3, 2, 7, 7, 9, 3, 4, 7, 7, 2, 9, 8, 6, 6, 7, 3, 4, 6, 7, 7, 3, 6, 3, 9, 3, 3, 2, 3, 1, 9, 1, 5, 3, 2, 7, 4, 3, 8, 4, 9, 2, 6, 7, 6, 9, 9, 7, 1, 1, 8, 3, 9, 8, 7, 5, 6, 9, 7, 6, 3, 1, 9, 3, 1, 3, 5, 3, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 3, 2, 3, 2},
        {2, 5, 5, 9, 8, 6, 5, 8, 6, 2, 2, 1, 3, 7, 3, 7, 1, 4, 6, 4, 4, 2, 7, 7, 7, 6, 9, 5, 1, 7, 2, 3, 5, 7, 7, 8, 9, 9, 6, 6, 4, 3, 5, 5, 5, 6, 3, 9, 7, 2, 1, 4, 2, 4, 1, 8, 3, 4, 4, 7, 6, 6, 6, 7, 7, 3, 3, 3, 9, 4, 1, 9, 6, 7, 2, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 7, 4, 7},
        {9, 3, 9, 8, 3, 6, 9, 2, 8, 4, 9, 1, 3, 7, 1, 7, 6, 4, 8, 4, 1, 9, 9, 1, 2, 2, 8, 7, 9, 4, 6, 5, 1, 1, 2, 3, 4, 6, 8, 6, 1, 8, 9, 1, 4, 1, 4, 7, 5, 5, 3, 1, 2, 8, 9, 3, 4, 2, 1, 8, 9, 9, 2, 9, 5, 7, 1, 4, 2, 1, 5, 9, 4, 6, 4, 8, 8, 8, 8, 8, 8, 8, 4, 2, 9, 6, 5, 9},
        {3, 9, 2, 5, 1, 2, 2, 2, 2, 7, 4, 4, 4, 9, 5, 9, 6, 8, 1, 7, 2, 4, 6, 3, 9, 1, 8, 4, 4, 9, 7, 8, 1, 4, 7, 5, 3, 6, 7, 1, 1, 1, 1, 1, 9, 6, 6, 4, 7, 4, 1, 8, 5, 5, 9, 6, 6, 9, 1, 1, 7, 6, 2, 9, 9, 5, 7, 1, 4, 1, 8, 2, 6, 9, 2, 8, 8, 8, 8, 8, 8, 8, 2, 3, 6, 9, 8, 4},
        {7, 7, 7, 5, 5, 3, 5, 9, 1, 7, 4, 4, 4, 3, 5, 6, 7, 5, 4, 3, 4, 1, 1, 1, 5, 3, 8, 7, 1, 4, 1, 6, 9, 6, 2, 1, 4, 9, 6, 1, 1, 1, 1, 1, 2, 2, 7, 7, 7, 5, 5, 3, 9, 9, 5, 8, 4, 9, 9, 3, 9, 9, 3, 3, 2, 4, 9, 9, 7, 3, 2, 8, 5, 2, 7, 8, 8, 8, 8, 8, 8, 8, 6, 2, 5, 5, 1, 5},
        {8, 2, 2, 4, 2, 2, 2, 8, 9, 8, 4, 4, 4, 1, 8, 3, 3, 2, 3, 7, 7, 7, 5, 3, 9, 1, 9, 8, 8, 4, 8, 8, 3, 2, 1, 5, 9, 4, 5, 1, 1, 1, 1, 1, 9, 4, 5, 8, 6, 3, 2, 5, 4, 2, 3, 3, 2, 8, 9, 2, 3, 3, 2, 1, 9, 4, 7, 7, 8, 2, 7, 7, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 9, 7, 2, 5},
        {8, 9, 7, 6, 3, 4, 5, 7, 2, 1, 5, 3, 3, 5, 4, 7, 3, 6, 7, 5, 3, 5, 4, 5, 6, 6, 8, 9, 8, 5, 1, 2, 2, 9, 4, 2, 7, 7, 1, 1, 1, 1, 1, 1, 3, 4, 7, 2, 9, 5, 9, 5, 5, 2, 3, 7, 5, 5, 1, 1, 9, 6, 2, 2, 7, 2, 4, 4, 2, 9, 6, 2, 9, 7, 9, 9, 1, 4, 1, 5, 2, 5, 7, 4, 1, 1, 1, 9},
        {6, 2, 5, 8, 8, 5, 7, 9, 3, 1, 3, 8, 8, 9, 1, 4, 3, 7, 7, 7, 9, 6, 5, 1, 2, 8, 4, 3, 8, 6, 2, 1, 6, 7, 8, 3, 2, 9, 1, 1, 1, 1, 1, 1, 6, 1, 6, 1, 5, 5, 6, 3, 5, 9, 2, 3, 7, 2, 5, 2, 8, 5, 2, 8, 4, 7, 6, 4, 6, 1, 9, 8, 7, 4, 2, 4, 8, 7, 4, 1, 9, 5, 6, 3, 3, 2, 6, 1},
        {3, 8, 1, 8, 8, 9, 6, 6, 7, 7, 9, 9, 5, 6, 1, 9, 9, 5, 3, 5, 5, 9, 9, 1, 3, 3, 3, 3, 5, 4, 6, 5, 1, 6, 7, 2, 1, 1, 2, 5, 1, 7, 1, 7, 7, 2, 7, 2, 7, 6, 3, 6, 1, 3, 1, 9, 5, 2, 5, 6, 7, 7, 7, 5, 4, 6, 7, 7, 6, 4, 1, 4, 9, 2, 8, 6, 2, 4, 5, 7, 3, 4, 1, 8, 2, 2, 4, 5}
    };
    calculate((unsigned int*) altitude_map_12, 58, 88);
    printf("\n");
    
    printf("TEST: altitude_map_13\n");
    printf("EXPECTING: contains a 19x19 grid of 3s at (38 , 30)\n");
    unsigned int altitude_map_13[79][123] = {
        {4, 1, 8, 3, 9, 9, 4, 5, 1, 9, 7, 9, 4, 9, 1, 1, 5, 7, 1, 1, 9, 5, 9, 8, 5, 4, 2, 4, 2, 6, 1, 9, 4, 2, 2, 3, 8, 7, 8, 6, 8, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 9, 5, 5, 2, 3, 4, 4, 9, 8, 7, 7, 7, 3, 7, 3, 7, 4, 7, 9, 6, 6, 2, 1, 4, 8, 4, 6, 7, 4, 5, 1, 9, 9, 5, 9, 2, 1, 2, 5, 2, 3, 3, 9, 7, 3, 3, 7, 6, 3, 3, 7, 5, 3, 8, 8, 6, 6, 9, 1, 9, 9, 8, 4, 4, 1, 4, 6, 3},
        {8, 9, 5, 9, 9, 5, 2, 6, 4, 7, 6, 7, 5, 3, 7, 6, 7, 9, 1, 8, 7, 1, 9, 7, 6, 3, 2, 2, 5, 2, 3, 5, 7, 1, 4, 5, 6, 6, 9, 6, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 3, 2, 9, 5, 5, 8, 8, 6, 1, 4, 4, 1, 4, 9, 2, 8, 6, 6, 3, 6, 5, 6, 6, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 8, 7, 9, 8, 8, 3, 3, 5, 3, 9, 8, 8, 1, 9, 7, 3, 2, 6, 8, 6, 2, 2, 8, 8, 9, 8, 6, 4, 4, 3, 6, 6},
        {6, 9, 9, 2, 9, 5, 7, 4, 9, 6, 6, 2, 6, 5, 6, 6, 4, 8, 3, 8, 9, 9, 7, 4, 1, 3, 7, 5, 2, 2, 3, 6, 8, 4, 5, 3, 9, 6, 1, 5, 8, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 7, 6, 6, 1, 6, 8, 2, 8, 3, 7, 9, 7, 6, 3, 2, 3, 7, 6, 8, 6, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 4, 2, 7, 6, 3, 2, 5, 4, 1, 9, 4, 8, 9, 5, 5, 8, 9, 9, 7, 4, 6, 9, 8, 5, 9, 2, 2, 9, 9, 3, 4, 4, 7, 7},
        {2, 8, 9, 6, 8, 6, 7, 4, 8, 5, 3, 6, 8, 3, 1, 4, 5, 6, 3, 8, 9, 7, 8, 9, 6, 2, 9, 7, 9, 9, 8, 9, 6, 2, 5, 7, 8, 5, 1, 2, 6, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 4, 9, 3, 4, 1, 8, 3, 5, 3, 7, 7, 5, 5, 5, 1, 7, 7, 7, 3, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 5, 8, 1, 7, 1, 7, 9, 5, 2, 7, 4, 5, 8, 7, 6, 7, 5, 7, 1, 9, 3, 5, 4, 1, 8, 9, 7, 6, 8, 1, 2, 8, 9, 4},
        {1, 8, 4, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 1, 6, 1, 2, 9, 7, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 7, 5, 7, 7, 9, 8, 4, 9, 6, 3, 1, 3, 4, 1, 9, 8, 8, 6, 6, 9, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 7, 4, 1, 5, 6, 7, 3, 4, 6, 5, 3, 3, 3, 6, 6, 8, 6, 7, 4, 7, 3, 5, 5, 4, 7, 6, 5, 5, 3, 2, 5, 4, 9, 8},
        {2, 2, 9, 9, 4, 1, 6, 6, 6, 2, 4, 4, 6, 2, 6, 9, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 2, 7, 3, 2, 1, 5, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 4, 2, 2, 9, 5, 8, 1, 2, 9, 6, 9, 3, 3, 4, 5, 2, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8, 5, 5, 9, 4, 9, 2, 6, 9, 9, 6, 1, 9, 7, 2, 5, 8, 1, 8, 4, 6, 7, 5, 3, 5, 4, 8, 9, 2, 3, 9, 6, 2, 4},
        {6, 4, 9, 6, 4, 9, 8, 1, 7, 4, 3, 5, 8, 8, 2, 9, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 1, 2, 6, 5, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 7, 3, 1, 5, 4, 9, 3, 9, 6, 8, 6, 5, 4, 7, 6, 1, 2, 7, 7, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 3, 6, 8, 3, 4, 2, 1, 1, 5, 1, 8, 1, 3, 7, 1, 1, 6, 4, 1, 6, 8, 3, 8, 8, 4, 5, 7, 1, 1, 4, 2, 5, 4, 4},
        {3, 2, 5, 8, 2, 7, 9, 5, 4, 8, 1, 3, 4, 3, 1, 5, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 7, 8, 7, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 7, 8, 8, 3, 4, 3, 8, 2, 4, 5, 4, 3, 1, 6, 5, 4, 9, 3, 1, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 7, 3, 3, 6, 5, 8, 3, 4, 3, 3, 1, 1, 3, 5, 3, 3, 8, 8, 1, 9, 7, 7, 4, 7, 7, 2, 3, 6, 4, 7, 7, 7, 4, 2},
        {5, 1, 6, 9, 7, 2, 6, 7, 8, 5, 7, 2, 6, 4, 8, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 3, 5, 6, 4, 7, 7, 6, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 7, 5, 9, 8, 9, 9, 4, 5, 7, 7, 6, 6, 4, 6, 7, 8, 6, 3, 9, 1, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 6, 3, 3, 4, 9, 9, 5, 4, 2, 2, 4, 3, 9, 1, 4, 1, 9, 2, 2, 6, 2, 4, 7, 8, 5, 2, 7, 8, 8, 3, 1, 2, 8, 8, 9},
        {1, 1, 4, 5, 8, 7, 8, 9, 1, 8, 7, 3, 9, 4, 6, 9, 5, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 4, 6, 5, 2, 8, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 7, 1, 6, 6, 3, 6, 1, 6, 9, 9, 2, 2, 4, 5, 7, 9, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 2, 2, 4, 5, 3, 7, 8, 3, 5, 3, 1, 2, 5, 4, 3, 1, 4, 3, 3, 5, 8, 7, 9, 4, 3},
        {9, 3, 3, 2, 7, 6, 5, 1, 5, 9, 6, 3, 4, 3, 8, 6, 4, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 5, 9, 8, 2, 7, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 8, 5, 2, 9, 1, 7, 2, 8, 5, 6, 8, 5, 8, 3, 2, 4, 7, 8, 1, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 5, 7, 1, 5, 3, 2, 5, 7, 5, 1, 2, 3, 3, 2, 3, 3, 9, 6, 5, 5, 5, 6, 7, 1, 3},
        {2, 9, 2, 8, 5, 2, 8, 7, 6, 2, 8, 1, 1, 5, 6, 1, 1, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 5, 7, 7, 9, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 1, 3, 6, 3, 7, 5, 1, 6, 2, 5, 9, 3, 5, 1, 9, 5, 2, 7, 9, 8, 2, 2, 6, 6, 1, 9, 3, 9, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 1, 7, 7, 3, 1, 6, 1, 1, 5, 2, 8, 7, 5, 3, 3, 4, 4, 8, 5, 9, 9, 7, 5, 6, 9},
        {2, 9, 4, 2, 7, 2, 2, 2, 6, 1, 2, 6, 2, 2, 5, 6, 8, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 7, 2, 1, 1, 3, 8, 4, 5, 2, 2, 6, 4, 6, 5, 5, 2, 3, 7, 3, 8, 1, 4, 6, 7, 8, 3, 3, 3, 5, 4, 1, 6, 7, 9, 3, 9, 4, 4, 2, 4, 6, 4, 6, 8, 4, 6, 3, 3, 8, 6, 1, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 1, 1, 4, 9, 2, 4, 8, 5, 7, 3, 4, 6, 4, 5, 8, 1, 6, 4, 7, 6, 9, 6, 2, 4},
        {2, 1, 7, 4, 4, 3, 8, 5, 2, 6, 3, 7, 7, 5, 7, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 3, 2, 1, 6, 7, 6, 5, 5, 1, 3, 3, 2, 6, 1, 1, 9, 1, 6, 1, 6, 4, 6, 7, 8, 8, 1, 9, 5, 1, 8, 6, 3, 7, 2, 8, 2, 4, 7, 8, 1, 4, 9, 6, 3, 1, 3, 8, 8, 5, 8, 1, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 1, 1, 1, 2, 1, 3, 3, 7, 3, 8, 6, 3, 4, 1, 2, 3, 2, 8, 7, 2, 6, 1, 1, 8},
        {4, 2, 1, 1, 9, 4, 9, 4, 2, 4, 3, 7, 5, 4, 6, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 4, 4, 2, 9, 1, 1, 5, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 5, 2, 5, 2, 3, 3, 1, 1, 8, 4, 2, 7, 2, 5, 3, 7, 1, 5, 4, 8, 8, 5, 8, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 5, 8, 5, 9, 5, 7, 2, 4, 8, 8, 4, 5, 5, 7, 7, 8, 2, 9, 3, 1, 9, 4, 3, 1, 5},
        {1, 5, 1, 3, 8, 8, 1, 5, 8, 6, 1, 5, 2, 6, 4, 8, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 5, 2, 3, 2, 7, 5, 3, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 9, 3, 1, 7, 1, 2, 1, 6, 2, 1, 2, 7, 1, 7, 2, 8, 3, 8, 2, 3, 7, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 7, 9, 8, 5, 8, 6, 3, 5, 3, 2, 1, 2, 9, 1, 1, 5, 6, 7, 7, 4, 5, 7, 8, 3, 5},
        {9, 2, 1, 7, 8, 2, 6, 8, 3, 9, 2, 6, 4, 7, 8, 2, 7, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 2, 7, 9, 5, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 7, 1, 2, 4, 3, 5, 7, 6, 1, 8, 8, 8, 8, 4, 5, 6, 5, 9, 4, 6, 9, 7, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 6, 5, 5, 5, 9, 7, 2, 2, 8, 3, 7, 3, 3, 4, 6, 4, 7, 1, 5, 2, 8, 6, 8},
        {9, 6, 5, 3, 1, 2, 2, 7, 7, 8, 2, 1, 9, 5, 5, 4, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 6, 6, 6, 5, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 6, 6, 2, 6, 3, 6, 9, 8, 4, 2, 7, 1, 2, 2, 8, 4, 2, 9, 4, 1, 9, 8, 5, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 1, 6, 9, 9, 6, 6, 7, 1, 2, 9, 5, 4, 6, 1, 5, 1, 9, 7, 2, 9, 2, 7, 3, 4},
        {5, 9, 4, 6, 6, 1, 3, 8, 6, 1, 3, 4, 6, 6, 5, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 9, 3, 4, 7, 3, 3, 4, 8, 1, 4, 4, 1, 9, 3, 6, 1, 6, 4, 7, 7, 9, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 4, 9, 8, 5, 2, 6, 9, 1, 4, 6, 5, 2, 2, 3, 5, 6, 9, 4, 5, 1, 2, 2, 8, 1, 9},
        {4, 7, 7, 8, 6, 8, 7, 5, 5, 5, 7, 6, 7, 7, 4, 6, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 9, 7, 5, 3, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 8, 9, 6, 6, 9, 6, 7, 6, 9, 9, 4, 1, 9, 5, 3, 4, 4, 7, 6, 2, 6, 4, 8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 6, 6, 5, 2, 6, 2, 5, 6, 6, 6, 8, 2, 9, 4, 6, 5, 3, 2, 1, 7, 1, 8, 5},
        {4, 7, 3, 8, 8, 7, 6, 9, 9, 9, 3, 5, 8, 9, 1, 5, 9, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 9, 8, 4, 3, 2, 5, 9, 4, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 5, 4, 8, 4, 1, 7, 6, 3, 5, 9, 1, 6, 7, 6, 8, 8, 9, 9, 9, 5, 3, 1, 3, 7, 8, 8, 1, 7, 1, 3, 4, 4, 2, 1, 2, 6, 1, 8, 8, 1, 5, 1, 7, 5, 2, 9, 5, 5, 3, 8, 3, 7, 7, 8, 4, 6, 8, 6, 1, 5},
        {1, 4, 1, 8, 2, 6, 8, 2, 9, 1, 6, 1, 7, 5, 2, 3, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 1, 4, 3, 6, 4, 9, 3, 2, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 5, 6, 6, 8, 1, 2, 3, 8, 9, 3, 5, 3, 8, 2, 3, 3, 5, 7, 9, 7, 6, 2, 7, 4, 3, 6, 2, 7, 2, 6, 8, 4, 8, 4, 2, 9, 7, 7, 6, 5, 5, 9, 4, 9, 8, 5, 7, 1, 2, 1, 9, 1, 9, 4, 1, 1, 6, 3, 9, 9, 7},
        {8, 9, 6, 1, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 9, 7, 1, 8, 5, 8, 2, 5, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 3, 3, 2, 8, 1, 9, 3, 7, 3, 6, 9, 6, 6, 4, 2, 3, 9, 6, 5, 6, 6, 2, 7, 7, 5, 5, 9, 2, 2, 1, 7, 1, 4, 2, 7, 1, 1, 8, 5, 2, 6, 9, 3, 3, 6, 4, 3, 5, 6, 4, 5, 2, 2, 1, 6, 2, 2, 9, 9, 2},
        {5, 8, 3, 9, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 1, 1, 3, 9, 6, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 9, 2, 9, 3, 5, 5, 1, 3, 3, 7, 3, 7, 3, 1, 8, 4, 2, 4, 1, 8, 4, 6, 1, 5, 2, 8, 9, 3, 6, 5, 6, 4, 3, 6, 5, 6, 2, 9, 2, 5, 6, 1, 4, 3, 6, 2, 1, 2, 4, 4, 4, 2, 1, 6, 2, 4, 2, 1, 7, 3, 8},
        {8, 6, 2, 2, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 4, 4, 5, 5, 2, 1, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 4, 8, 9, 1, 1, 4, 8, 3, 3, 2, 1, 3, 1, 4, 1, 8, 1, 9, 8, 6, 5, 8, 5, 3, 5, 7, 4, 2, 9, 1, 9, 2, 9, 2, 9, 5, 8, 8, 3, 4, 6, 3, 8, 1, 9, 7, 4, 8, 2, 7, 6, 8, 6, 2, 4, 8, 3, 6, 7, 9},
        {7, 9, 1, 8, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 7, 1, 8, 5, 2, 1, 8, 4, 9, 8, 4, 9, 8, 2, 4, 1, 2, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 7, 1, 3, 7, 3, 2, 6, 8, 1, 6, 9, 7, 7, 5, 8, 3, 1, 2, 8, 9, 4, 7, 6, 7, 7, 4, 1, 1, 8, 6, 2, 6, 8, 8, 5, 6, 4, 2, 2, 9, 2, 6, 3, 4, 5, 5, 5, 2, 8, 7, 2, 7, 8, 5, 3, 4, 1, 2, 2, 2, 3},
        {3, 9, 4, 5, 7, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 3, 8, 9, 6, 1, 4, 8, 6, 3, 2, 1, 5, 7, 7, 9, 5, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 9, 5, 1, 9, 8, 1, 3, 3, 3, 6, 8, 1, 6, 2, 6, 4, 6, 2, 4, 6, 4, 3, 5, 2, 4, 1, 5, 8, 6, 4, 1, 1, 5, 1, 6, 1, 1, 4, 9, 1, 2, 3, 2, 1, 9, 4, 5, 6, 4, 9, 9, 2, 4, 9, 8, 9, 3, 3, 7, 4, 9},
        {7, 7, 8, 4, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 6, 6, 4, 6, 1, 2, 7, 4, 7, 5, 6, 6, 2, 6, 4, 2, 1, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 2, 1, 9, 4, 1, 2, 1, 2, 7, 8, 8, 7, 1, 8, 9, 4, 7, 1, 7, 8, 3, 9, 6, 4, 4, 8, 7, 3, 6, 3, 8, 9, 1, 2, 8, 7, 9, 1, 1, 6, 2, 2, 3, 4, 3, 9, 7, 8, 4, 5, 7, 2, 4, 1, 5, 2, 6, 5, 4},
        {2, 6, 8, 8, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 3, 7, 4, 3, 9, 3, 7, 6, 1, 6, 2, 3, 2, 2, 9, 4, 2, 2, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 5, 7, 9, 7, 5, 1, 9, 2, 8, 4, 5, 1, 3, 7, 9, 7, 5, 2, 9, 1, 9, 4, 8, 3, 4, 8, 6, 7, 8, 2, 7, 8, 5, 3, 7, 1, 5, 1, 3, 3, 8, 1, 1, 3, 3, 7, 6, 7, 5, 5, 6, 2, 8, 5, 6, 1, 2, 1, 8, 7},
        {7, 4, 1, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 2, 9, 3, 5, 2, 8, 7, 1, 2, 6, 3, 1, 4, 5, 6, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 2, 3, 3, 4, 9, 7, 5, 2, 7, 2, 3, 2, 6, 4, 5, 4, 4, 3, 6, 6, 5, 7, 1, 7, 1, 7, 7, 6, 1, 2, 6, 2, 3, 5, 3, 1, 4, 9, 8, 5, 2, 2, 9, 9, 8, 6, 9, 9, 1, 9, 1, 8, 4, 6, 6, 9, 9, 5, 3, 4, 2},
        {9, 6, 8, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 5, 4, 3, 4, 2, 1, 3, 4, 6, 9, 6, 1, 9, 4, 3, 5, 3, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 4, 3, 6, 3, 6, 4, 5, 7, 4, 9, 2, 6, 6, 8, 4, 8, 2, 6, 8, 9, 7, 1, 2, 6, 3, 7, 4, 5, 3, 9, 7, 9, 4, 5, 2, 8, 2, 2, 5, 5, 8, 4, 4, 5, 9, 4, 6, 6, 8, 8, 3, 7, 7, 8, 5, 7, 7, 8, 7, 2},
        {1, 9, 3, 1, 4, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 1, 8, 1, 6, 8, 1, 3, 1, 4, 7, 6, 2, 4, 6, 1, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 9, 6, 7, 1, 6, 1, 5, 9, 5, 6, 5, 9, 5, 1, 2, 8, 8, 5, 6, 2, 1, 1, 4, 2, 6, 4, 4, 2, 8, 1, 7, 8, 4, 3, 7, 8, 2, 6, 4, 6, 9, 5, 2, 7, 9, 3, 6, 7, 7, 1, 4, 2, 4, 2, 1, 5, 5, 2, 5},
        {4, 3, 6, 4, 7, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 4, 8, 1, 4, 2, 5, 7, 5, 2, 3, 6, 7, 6, 5, 5, 5, 8, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 4, 7, 4, 3, 5, 7, 7, 9, 6, 3, 4, 6, 1, 1, 4, 9, 8, 9, 7, 5, 2, 1, 5, 8, 6, 8, 6, 2, 3, 2, 5, 1, 4, 3, 9, 3, 8, 7, 8, 2, 6, 7, 2, 8, 9, 5, 4, 3, 1, 3, 5, 1, 8, 8, 8, 6, 4, 1, 5, 6, 4, 6, 4, 6, 8, 3, 4, 5, 6, 6, 3},
        {4, 5, 6, 1, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 2, 6, 6, 2, 5, 4, 7, 1, 3, 3, 1, 2, 4, 8, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 6, 4, 4, 6, 9, 4, 5, 4, 4, 7, 4, 9, 8, 5, 2, 5, 1, 9, 3, 2, 3, 1, 7, 9, 9, 9, 9, 9, 9, 5, 6, 1, 4, 1, 1, 1, 1, 7, 2, 8, 5, 7, 1, 8, 6, 3, 6, 9, 7, 5, 8, 4, 5, 1, 3, 7, 4, 2, 7, 5, 7, 3, 4, 3, 5, 4, 9, 6, 2, 1, 3, 6, 8},
        {5, 3, 8, 8, 7, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 4, 6, 1, 4, 2, 4, 6, 7, 1, 8, 4, 8, 1, 1, 2, 2, 2, 8, 7, 8, 2, 5, 3, 4, 2, 6, 1, 2, 6, 5, 8, 4, 8, 7, 5, 5, 3, 6, 8, 4, 5, 9, 7, 4, 5, 3, 7, 7, 3, 9, 9, 9, 9, 9, 3, 7, 5, 8, 1, 6, 2, 1, 1, 8, 5, 5, 7, 2, 5, 2, 4, 6, 6, 5, 9, 6, 6, 2, 1, 1, 3, 7, 4, 6, 8, 1, 2, 7, 3, 6, 9, 9, 9, 4, 9, 6, 5, 2, 8},
        {7, 7, 3, 8, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 6, 5, 4, 5, 1, 2, 5, 7, 4, 7, 8, 1, 8, 2, 4, 3, 9, 9, 3, 1, 4, 6, 1, 9, 3, 7, 4, 2, 3, 7, 2, 6, 6, 8, 9, 2, 4, 5, 3, 8, 4, 9, 3, 5, 9, 8, 2, 8, 2, 9, 9, 9, 9, 9, 6, 8, 1, 9, 1, 4, 6, 8, 4, 9, 3, 9, 8, 6, 5, 2, 7, 9, 5, 1, 5, 8, 9, 4, 2, 5, 5, 6, 3, 1, 8, 6, 3, 3, 9, 5, 8, 3, 3, 6, 7, 8, 6, 3, 6},
        {5, 7, 8, 5, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 5, 3, 1, 6, 8, 2, 2, 1, 5, 7, 5, 9, 6, 9, 3, 4, 5, 2, 3, 6, 3, 4, 5, 8, 5, 8, 7, 4, 7, 4, 5, 3, 9, 5, 3, 3, 5, 7, 4, 1, 3, 2, 5, 6, 6, 1, 6, 8, 1, 9, 9, 9, 9, 9, 9, 1, 5, 6, 6, 4, 7, 9, 9, 9, 9, 1, 5, 6, 3, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 7, 9, 4, 8, 3, 4, 6, 8, 3, 4},
        {8, 6, 8, 5, 4, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 1, 6, 2, 6, 6, 5, 1, 2, 1, 7, 9, 7, 1, 4, 1, 8, 2, 6, 9, 7, 4, 9, 4, 6, 7, 9, 2, 3, 7, 5, 8, 7, 9, 7, 5, 3, 9, 8, 8, 1, 8, 3, 9, 2, 2, 2, 6, 9, 9, 9, 9, 9, 9, 6, 6, 2, 3, 9, 6, 4, 2, 5, 8, 8, 6, 4, 8, 6, 4, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 4, 4, 4, 8, 1, 3, 5, 3, 8},
        {8, 9, 2, 8, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 1, 1, 1, 6, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 9, 4, 7, 2, 8, 8, 4, 1, 1, 7, 9, 6, 3, 8, 7, 4, 7, 4, 8, 3, 5, 4, 6, 7, 7, 9, 2, 7, 8, 7, 8, 2, 6, 1, 5, 8, 1, 8, 6, 1, 5, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 5, 2, 4, 4, 3, 6, 9, 9, 1, 8, 7},
        {9, 1, 6, 9, 4, 4, 5, 9, 6, 9, 6, 2, 5, 3, 5, 6, 3, 6, 8, 3, 6, 5, 5, 2, 7, 6, 7, 9, 1, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 7, 9, 9, 8, 7, 1, 1, 3, 7, 7, 2, 3, 5, 2, 9, 9, 5, 3, 3, 3, 1, 6, 2, 9, 4, 9, 6, 2, 7, 6, 3, 1, 6, 9, 3, 6, 7, 6, 9, 6, 5, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 3, 5, 8, 7, 6, 5, 3, 7, 6, 4, 9},
        {7, 7, 4, 3, 3, 4, 1, 2, 2, 9, 8, 6, 9, 2, 4, 5, 2, 9, 2, 6, 3, 5, 6, 8, 7, 1, 7, 7, 8, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 5, 9, 5, 2, 7, 9, 7, 1, 6, 9, 4, 6, 9, 7, 9, 5, 3, 1, 1, 8, 1, 1, 8, 2, 9, 9, 3, 9, 5, 5, 3, 6, 7, 9, 3, 1, 8, 7, 4, 6, 8, 3, 3, 3, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 1, 9, 4, 4, 3, 3, 7, 7, 8, 7},
        {9, 1, 7, 9, 4, 7, 3, 3, 5, 1, 3, 5, 1, 4, 4, 5, 9, 4, 6, 1, 8, 7, 1, 7, 4, 6, 8, 7, 2, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 5, 3, 8, 6, 9, 3, 8, 8, 2, 1, 9, 4, 9, 4, 9, 9, 1, 7, 6, 3, 2, 9, 1, 2, 6, 4, 2, 8, 9, 6, 4, 6, 6, 1, 5, 5, 2, 1, 6, 1, 3, 4, 2, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 8, 2, 9, 5, 4, 1, 5, 3, 2},
        {3, 2, 1, 2, 8, 6, 6, 7, 9, 6, 4, 5, 8, 4, 4, 4, 6, 2, 1, 6, 2, 7, 3, 7, 4, 3, 7, 4, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 5, 4, 5, 5, 2, 8, 1, 7, 8, 8, 7, 1, 3, 7, 9, 4, 4, 2, 9, 1, 9, 1, 5, 7, 4, 5, 5, 7, 8, 3, 7, 4, 4, 5, 5, 4, 2, 9, 6, 6, 8, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 2, 2, 9, 8, 5, 7, 4, 2, 8, 5, 7},
        {3, 1, 1, 9, 8, 8, 8, 6, 3, 8, 2, 2, 2, 7, 9, 4, 4, 2, 1, 1, 1, 7, 6, 1, 4, 1, 8, 3, 1, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 7, 9, 5, 6, 8, 8, 8, 1, 9, 1, 5, 2, 9, 8, 4, 4, 9, 2, 4, 8, 9, 1, 4, 6, 4, 8, 3, 4, 2, 9, 5, 2, 3, 4, 8, 5, 8, 3, 1, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 6, 2, 8, 1, 6, 7, 3, 1, 1, 3, 3},
        {3, 4, 2, 6, 6, 8, 2, 3, 4, 1, 9, 4, 8, 4, 2, 1, 9, 9, 6, 3, 1, 3, 6, 2, 1, 1, 5, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 9, 5, 9, 5, 6, 7, 5, 4, 3, 8, 1, 6, 8, 6, 6, 9, 7, 5, 5, 6, 8, 7, 7, 5, 7, 6, 1, 2, 1, 6, 4, 2, 2, 7, 7, 9, 3, 8, 6, 6, 6, 8, 7, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 3, 6, 2, 1, 9, 3, 2, 6, 3, 9, 5},
        {5, 5, 8, 2, 2, 6, 7, 3, 6, 5, 3, 4, 2, 1, 5, 3, 8, 3, 1, 2, 9, 8, 5, 1, 9, 9, 8, 7, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 9, 5, 8, 9, 4, 4, 7, 5, 7, 8, 9, 1, 6, 2, 5, 1, 6, 1, 1, 3, 9, 3, 4, 4, 9, 8, 2, 7, 8, 3, 9, 6, 2, 3, 6, 9, 3, 6, 8, 2, 2, 2, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 5, 3, 8, 1, 9, 1, 2, 7, 3, 5},
        {3, 5, 2, 7, 3, 3, 7, 6, 3, 9, 1, 4, 8, 3, 7, 8, 1, 1, 4, 6, 7, 2, 7, 1, 4, 6, 3, 5, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 1, 7, 1, 5, 6, 4, 5, 8, 8, 8, 9, 4, 1, 9, 5, 8, 3, 9, 2, 7, 6, 2, 9, 1, 2, 9, 8, 6, 5, 4, 3, 8, 7, 9, 1, 9, 2, 1, 4, 2, 4, 1, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 5, 2, 8, 8, 2, 3, 9, 3, 5, 2},
        {9, 7, 5, 5, 8, 4, 1, 7, 8, 1, 7, 1, 5, 4, 4, 3, 5, 9, 9, 2, 8, 8, 3, 7, 7, 6, 1, 6, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 9, 5, 8, 5, 9, 4, 8, 6, 7, 8, 6, 1, 1, 9, 1, 7, 2, 1, 9, 6, 8, 3, 7, 6, 8, 7, 2, 6, 9, 3, 8, 8, 2, 7, 5, 1, 2, 8, 2, 9, 8, 5, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 7, 5, 4, 8, 4, 6, 1, 7, 5, 7, 5},
        {3, 1, 9, 6, 8, 7, 4, 3, 8, 8, 5, 5, 5, 2, 8, 3, 8, 6, 1, 7, 9, 5, 6, 4, 6, 4, 3, 4, 8, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 9, 6, 3, 9, 6, 1, 1, 4, 8, 5, 3, 8, 9, 9, 3, 7, 9, 3, 2, 7, 3, 8, 3, 5, 1, 8, 3, 8, 5, 4, 5, 5, 4, 5, 2, 8, 5, 5, 7, 3, 6, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 8, 9, 1, 1, 9, 8, 5, 1, 7, 1},
        {8, 4, 1, 1, 8, 9, 1, 8, 6, 6, 4, 1, 6, 4, 8, 7, 3, 3, 6, 5, 2, 8, 6, 4, 6, 5, 3, 1, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 1, 9, 6, 2, 3, 5, 9, 4, 8, 9, 2, 2, 9, 5, 9, 5, 1, 6, 4, 4, 2, 5, 5, 9, 5, 9, 7, 7, 6, 1, 7, 6, 2, 2, 5, 7, 3, 1, 7, 5, 8, 1, 4, 6, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 7, 4, 5, 8, 4, 7, 6, 7, 8, 5, 2},
        {2, 1, 6, 9, 2, 4, 9, 2, 5, 6, 2, 3, 7, 1, 8, 1, 8, 7, 7, 6, 4, 5, 9, 9, 8, 9, 1, 1, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 6, 3, 7, 7, 8, 8, 7, 4, 1, 3, 3, 3, 9, 8, 3, 8, 2, 2, 7, 3, 3, 4, 2, 7, 8, 5, 9, 4, 7, 3, 2, 3, 7, 6, 5, 9, 5, 9, 6, 3, 2, 5, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 2, 8, 6, 8, 2, 7, 1, 3, 2, 2},
        {7, 3, 8, 4, 6, 3, 8, 5, 5, 3, 5, 6, 8, 9, 7, 4, 6, 4, 2, 6, 5, 5, 1, 4, 9, 6, 3, 1, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 6, 3, 5, 5, 1, 9, 5, 4, 9, 3, 9, 7, 8, 1, 2, 1, 8, 2, 9, 9, 3, 1, 4, 4, 5, 5, 4, 1, 7, 7, 8, 3, 5, 7, 8, 2, 4, 9, 8, 2, 2, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 5, 6, 9, 8, 2, 2, 5, 3, 9, 2, 3},
        {6, 5, 2, 7, 7, 4, 3, 9, 1, 4, 8, 2, 9, 1, 8, 6, 3, 9, 2, 8, 3, 8, 7, 6, 5, 2, 8, 4, 6, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 4, 9, 9, 2, 6, 1, 6, 8, 9, 3, 9, 1, 1, 9, 4, 4, 7, 3, 3, 9, 1, 1, 8, 3, 3, 9, 6, 5, 2, 3, 4, 8, 2, 5, 4, 2, 8, 8, 1, 4, 9, 6, 2, 8, 3, 1, 1, 8, 1, 2, 1, 2, 8, 2, 5, 2, 5, 3, 9, 6, 1, 7, 7, 9, 3, 4, 6, 6, 1, 2, 3, 3},
        {5, 6, 1, 2, 1, 2, 4, 6, 2, 3, 1, 5, 4, 3, 7, 7, 5, 8, 7, 3, 8, 8, 5, 8, 4, 8, 8, 6, 5, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 9, 4, 8, 3, 2, 7, 4, 1, 6, 5, 2, 5, 3, 8, 2, 7, 5, 4, 2, 1, 4, 4, 5, 4, 2, 4, 4, 9, 2, 2, 1, 6, 3, 1, 5, 3, 2, 6, 3, 4, 6, 7, 9, 1, 8, 1, 7, 9, 1, 1, 7, 6, 9, 8, 2, 6, 7, 7, 8, 1, 3, 5, 7, 5, 2, 9, 7, 8, 7, 7, 6, 9, 2},
        {9, 4, 5, 1, 4, 8, 9, 6, 7, 7, 1, 3, 2, 3, 1, 1, 3, 3, 5, 3, 8, 7, 7, 5, 6, 8, 4, 9, 7, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 6, 6, 5, 4, 7, 8, 8, 5, 5, 1, 6, 7, 3, 6, 4, 1, 6, 3, 9, 6, 9, 3, 8, 3, 5, 4, 8, 9, 1, 5, 6, 6, 9, 1, 4, 5, 9, 7, 9, 4, 4, 6, 1, 5, 1, 4, 6, 5, 9, 8, 7, 1, 1, 6, 9, 7, 4, 1, 2, 1, 6, 2, 7, 5, 1, 9, 8, 8, 7, 8, 5, 2},
        {7, 3, 6, 5, 6, 2, 8, 7, 2, 6, 8, 9, 1, 8, 5, 2, 2, 3, 2, 5, 7, 9, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 3, 1, 3, 9, 7, 6, 1, 7, 8, 6, 5, 2, 7, 7, 7, 1, 5, 3, 1, 1, 4, 7, 7, 4, 2, 4, 9, 6, 7, 8, 2, 6, 8, 4, 9, 2, 7, 8, 6, 2, 9, 4, 2, 5, 2, 5, 1, 3, 6, 1, 5, 1, 3, 3, 6, 9, 2, 3, 4, 7, 7, 1, 6, 1, 7, 3, 3, 4, 3, 6, 2},
        {2, 5, 6, 2, 5, 4, 7, 1, 4, 2, 8, 9, 1, 1, 1, 4, 1, 8, 5, 2, 1, 6, 6, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 2, 9, 6, 8, 5, 1, 3, 5, 1, 7, 2, 9, 2, 7, 7, 1, 2, 9, 8, 6, 1, 3, 4, 7, 1, 7, 8, 1, 2, 1, 1, 9, 3, 3, 1, 9, 2, 1, 8, 6, 5, 3, 3, 2, 1, 4, 7, 6, 2, 5, 2, 3, 5, 2, 5, 5, 8, 2, 6, 1, 6, 7, 6, 4, 6, 5, 9, 5, 4, 4, 6, 3, 9},
        {6, 1, 1, 6, 4, 5, 3, 9, 5, 4, 4, 1, 7, 2, 4, 4, 2, 8, 6, 4, 6, 1, 6, 7, 7, 7, 7, 7, 7, 7, 7, 1, 6, 1, 4, 1, 8, 4, 5, 6, 1, 1, 3, 1, 6, 4, 8, 8, 3, 5, 1, 6, 6, 6, 8, 6, 1, 2, 1, 7, 1, 9, 1, 9, 1, 3, 6, 9, 6, 9, 4, 2, 4, 8, 7, 5, 1, 8, 6, 3, 1, 5, 2, 6, 9, 9, 8, 4, 7, 5, 8, 7, 6, 3, 6, 6, 6, 6, 1, 5, 3, 5, 4, 4, 3, 8, 5, 8, 9, 8, 4, 3, 5, 4, 5, 6, 2, 9, 8, 4, 5, 3, 9},
        {1, 8, 9, 3, 4, 2, 3, 5, 2, 1, 6, 5, 4, 3, 9, 9, 7, 3, 4, 2, 6, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 1, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 7, 9, 5, 7, 5, 3, 5, 2, 9, 2, 4, 3, 9, 2, 3, 7, 5, 4, 2, 9, 6, 2, 5, 6, 8, 8, 3, 1, 1, 8, 5, 3, 2, 8, 9, 8, 2, 8, 1, 5, 3, 5, 8, 8, 1, 5, 8, 9, 1, 4, 5, 2, 7, 9, 8, 3, 1, 5, 3, 9, 1, 9, 3, 8, 5, 9, 1, 2, 9, 5, 1, 6, 2, 3, 4},
        {6, 7, 3, 8, 4, 4, 9, 2, 8, 3, 3, 3, 7, 7, 1, 1, 3, 3, 5, 7, 5, 1, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 7, 4, 9, 3, 7, 2, 3, 7, 7, 3, 1, 8, 9, 3, 3, 6, 3, 3, 5, 6, 3, 9, 5, 9, 8, 8, 3, 8, 6, 5, 4, 5, 3, 8, 3, 6, 9, 3, 1, 8, 6, 4, 9, 6, 5, 8, 8, 7, 6, 7, 6, 4, 2, 6, 5, 9, 5, 1, 6, 4, 4, 5, 9, 4, 3, 1, 3, 2, 8, 7, 4, 6, 1},
        {6, 6, 3, 1, 6, 9, 1, 1, 7, 1, 8, 4, 2, 7, 6, 5, 4, 3, 2, 1, 2, 6, 1, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 2, 9, 7, 5, 7, 2, 8, 3, 2, 6, 8, 2, 5, 1, 3, 1, 8, 6, 4, 1, 7, 3, 3, 5, 8, 4, 2, 6, 3, 6, 6, 5, 3, 9, 5, 4, 8, 9, 3, 1, 3, 3, 4, 8, 8, 6, 2, 4, 2, 7, 2, 8, 8, 7, 6, 2, 6, 7, 4, 1, 6, 7, 1, 2, 7, 3, 7, 7, 6, 3, 5, 3, 7, 6, 3},
        {6, 8, 1, 1, 1, 6, 5, 7, 8, 9, 3, 5, 8, 8, 6, 3, 8, 8, 1, 2, 4, 9, 6, 7, 7, 7, 7, 7, 7, 7, 7, 1, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 5, 5, 7, 8, 3, 5, 6, 2, 9, 8, 5, 1, 9, 5, 7, 3, 3, 5, 1, 3, 9, 9, 4, 2, 4, 2, 2, 9, 2, 4, 1, 4, 6, 9, 7, 3, 6, 3, 4, 3, 2, 7, 8, 1, 4, 4, 8, 4, 2, 4, 1, 9, 1, 8, 8, 9, 6, 1, 2, 8, 8, 6, 5, 5, 9, 6, 9, 5, 1, 8, 8, 4, 9},
        {1, 5, 8, 8, 6, 7, 2, 3, 7, 7, 5, 6, 2, 1, 9, 3, 9, 4, 6, 6, 2, 5, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 2, 3, 1, 5, 3, 5, 5, 8, 4, 3, 6, 4, 3, 9, 3, 8, 8, 6, 8, 7, 7, 6, 5, 4, 5, 8, 9, 2, 4, 5, 8, 4, 9, 2, 6, 7, 3, 6, 3, 6, 6, 7, 2, 8, 6, 4, 6, 3, 4, 8, 1, 9, 1, 1, 5, 1, 5, 3, 2, 2, 8, 5, 8, 1, 3, 8, 8, 4, 7, 8, 2, 8, 3, 6, 2},
        {8, 8, 7, 6, 6, 6, 9, 6, 7, 9, 3, 6, 8, 2, 8, 8, 7, 4, 1, 3, 3, 7, 8, 1, 8, 5, 7, 2, 8, 9, 6, 4, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 4, 5, 4, 9, 2, 3, 4, 5, 8, 6, 9, 8, 3, 9, 2, 4, 1, 6, 4, 1, 1, 3, 4, 2, 7, 1, 7, 3, 7, 1, 4, 2, 6, 3, 8, 6, 8, 3, 7, 5, 6, 9, 1, 7, 9, 2, 6, 4, 5, 3, 9, 7, 5, 5, 8, 2, 9, 9, 7, 8, 9, 9, 6, 1, 1, 7, 2, 5, 1, 9, 9, 5, 1, 4, 3},
        {8, 2, 5, 1, 2, 9, 7, 7, 5, 6, 5, 4, 3, 8, 8, 7, 4, 1, 9, 7, 5, 9, 4, 7, 6, 4, 1, 9, 8, 1, 4, 4, 4, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 8, 3, 9, 7, 5, 3, 4, 4, 1, 9, 8, 4, 4, 2, 5, 8, 5, 1, 8, 1, 7, 2, 1, 9, 6, 9, 3, 2, 2, 2, 3, 6, 1, 5, 3, 3, 6, 1, 9, 1, 4, 1, 7, 3, 6, 5, 3, 5, 3, 1, 1, 5, 7, 6, 2, 5, 5, 9, 4, 2, 4, 5, 1, 6, 7, 3, 6, 6, 7, 9, 4, 9, 2, 2, 8},
        {6, 2, 7, 7, 9, 1, 9, 5, 7, 9, 1, 1, 5, 2, 5, 5, 3, 3, 5, 5, 8, 6, 1, 7, 6, 2, 4, 4, 1, 2, 7, 1, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 8, 3, 3, 9, 3, 1, 9, 3, 1, 2, 7, 8, 7, 2, 7, 4, 1, 1, 7, 1, 7, 4, 2, 4, 1, 6, 4, 8, 3, 1, 1, 2, 5, 9, 2, 9, 3, 5, 5, 4, 6, 8, 7, 4, 4, 7, 1, 3, 6, 2, 2, 2, 3, 8, 3, 1, 3, 1, 1, 7, 4, 7, 1, 4, 2, 7, 6, 8, 1, 5, 7, 9, 6, 3},
        {7, 3, 5, 8, 4, 3, 9, 3, 1, 7, 4, 4, 5, 1, 1, 6, 3, 9, 1, 8, 6, 8, 2, 2, 7, 2, 6, 8, 5, 8, 7, 4, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 3, 4, 7, 5, 8, 8, 9, 9, 5, 3, 7, 4, 8, 3, 9, 6, 2, 3, 4, 5, 6, 9, 6, 3, 9, 4, 4, 4, 2, 9, 9, 9, 5, 8, 8, 3, 9, 6, 9, 3, 2, 2, 3, 4, 1, 7, 9, 9, 1, 1, 3, 6, 2, 2, 3, 2, 5, 1, 1, 5, 2, 7, 7, 4, 1, 9, 4, 9, 2, 7, 6, 3, 7, 8, 6},
        {1, 8, 8, 3, 8, 4, 2, 2, 2, 3, 7, 9, 7, 2, 8, 8, 5, 2, 3, 7, 6, 3, 7, 6, 9, 7, 7, 5, 4, 4, 2, 4, 4, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 7, 4, 9, 6, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 1, 7, 9, 7, 3, 1, 1, 7, 1, 8, 6, 4, 2, 6, 8, 7, 9, 4, 3, 3, 4, 7, 6, 6, 3, 4, 3, 9, 3, 6, 9, 9, 4, 1, 1, 9, 9, 6, 8, 1, 6, 3, 5, 2, 1, 1, 9, 1, 3, 8, 2, 9, 4, 7, 7, 6, 6, 1, 7},
        {4, 8, 5, 5, 3, 7, 4, 4, 8, 8, 3, 5, 2, 2, 9, 9, 2, 5, 9, 2, 4, 9, 9, 7, 8, 1, 7, 1, 8, 1, 4, 5, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 7, 7, 4, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 9, 9, 6, 4, 5, 8, 8, 3, 5, 6, 4, 7, 7, 3, 6, 3, 3, 6, 5, 1, 8, 2, 8, 8, 3, 9, 7, 6, 4, 5, 8, 4, 5, 8, 4, 9, 7, 8, 8, 2, 4, 9, 1, 1, 7, 2, 3, 1, 4, 1, 3, 6, 7, 4, 6, 1, 1},
        {8, 3, 7, 7, 6, 3, 3, 6, 6, 1, 4, 8, 5, 5, 2, 7, 2, 9, 8, 6, 9, 7, 8, 1, 6, 5, 5, 4, 8, 9, 6, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 1, 5, 3, 5, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 3, 7, 7, 9, 6, 6, 1, 8, 4, 3, 6, 4, 5, 3, 8, 5, 6, 2, 7, 1, 2, 9, 7, 8, 3, 5, 9, 4, 2, 6, 4, 7, 9, 7, 1, 6, 7, 7, 1, 8, 8, 8, 9, 8, 4, 7, 3, 3, 9, 8, 8, 4, 2, 9, 7, 6, 1, 6},
        {8, 2, 7, 6, 4, 1, 8, 6, 5, 6, 3, 5, 5, 1, 6, 2, 6, 4, 6, 3, 3, 8, 2, 3, 8, 8, 8, 1, 2, 4, 9, 8, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 3, 9, 2, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 8, 1, 7, 1, 8, 5, 8, 7, 3, 5, 3, 2, 1, 2, 2, 2, 7, 7, 3, 9, 9, 9, 9, 8, 8, 4, 4, 6, 2, 7, 7, 1, 9, 7, 7, 2, 1, 3, 5, 1, 1, 6, 9, 3, 2, 7, 6, 2, 7, 9, 1, 4, 4, 7, 1, 8, 4, 9, 1},
        {3, 9, 8, 9, 4, 9, 9, 4, 7, 2, 8, 8, 7, 4, 1, 5, 3, 1, 9, 2, 7, 6, 8, 6, 4, 2, 9, 6, 4, 7, 7, 7, 4, 1, 4, 8, 7, 6, 3, 6, 5, 4, 8, 1, 6, 4, 8, 3, 6, 3, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 3, 7, 2, 8, 9, 2, 2, 5, 5, 9, 3, 8, 3, 9, 2, 3, 8, 1, 6, 8, 6, 9, 9, 9, 8, 5, 8, 8, 2, 3, 6, 8, 4, 2, 8, 1, 7, 2, 6, 5, 6, 4, 9, 2, 1, 8, 9, 9, 2, 5, 5, 5, 3, 8, 5, 2, 4, 6, 9},
        {9, 1, 2, 5, 6, 3, 9, 9, 4, 3, 1, 7, 7, 6, 2, 8, 1, 7, 5, 3, 3, 8, 1, 3, 5, 4, 5, 8, 7, 3, 2, 9, 1, 7, 4, 7, 8, 6, 7, 8, 6, 2, 9, 3, 7, 2, 3, 5, 2, 2, 7, 3, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 3, 5, 4, 2, 5, 4, 9, 5, 2, 3, 6, 1, 1, 1, 5, 6, 1, 8, 4, 7, 1, 6, 7, 1, 9, 8, 9, 8, 3, 5, 5, 8, 7, 2, 5, 4, 6, 1, 4, 6, 3, 5, 1, 3, 9, 1, 7, 7, 4, 2, 8, 4, 9, 3, 4, 6, 2, 1},
        {6, 6, 4, 4, 4, 5, 2, 8, 1, 8, 6, 7, 6, 3, 8, 7, 4, 4, 8, 5, 2, 1, 1, 7, 5, 5, 3, 3, 5, 1, 1, 9, 9, 7, 7, 1, 8, 9, 7, 6, 8, 4, 6, 3, 4, 6, 2, 6, 7, 3, 2, 8, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 8, 6, 9, 3, 8, 7, 4, 5, 8, 7, 5, 1, 5, 7, 9, 6, 4, 2, 1, 9, 9, 4, 9, 5, 9, 4, 3, 8, 3, 4, 1, 4, 8, 6, 6, 4, 5, 5, 3, 6, 5, 5, 4, 5, 1, 6, 5, 2, 3, 1, 9, 2, 2, 8, 3, 1, 9, 8},
        {1, 7, 4, 1, 4, 7, 2, 2, 7, 6, 6, 9, 2, 7, 1, 4, 8, 7, 8, 7, 2, 4, 5, 3, 5, 2, 9, 8, 3, 2, 7, 6, 5, 9, 3, 6, 4, 6, 9, 4, 5, 4, 5, 1, 6, 9, 2, 1, 8, 9, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 4, 2, 9, 6, 7, 7, 1, 8, 2, 1, 9, 7, 4, 5, 2, 7, 1, 8, 8, 3, 2, 1, 6, 8, 3, 6, 2, 2, 5, 3, 9, 8, 4, 8, 5, 9, 1, 5, 6, 6, 5, 8, 4, 4, 2, 5, 6, 9, 8, 7, 8, 5, 5, 9, 9, 1, 7, 4, 7},
        {9, 3, 8, 2, 4, 4, 7, 5, 8, 2, 9, 3, 7, 7, 5, 2, 1, 5, 8, 5, 5, 3, 8, 1, 9, 7, 5, 2, 1, 8, 9, 2, 4, 4, 9, 1, 8, 8, 6, 8, 2, 6, 9, 1, 1, 8, 4, 2, 1, 7, 1, 6, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 7, 4, 9, 4, 5, 7, 2, 6, 4, 3, 2, 4, 9, 6, 3, 7, 1, 2, 6, 1, 4, 9, 3, 4, 2, 6, 4, 2, 3, 5, 7, 3, 8, 5, 3, 5, 9, 3, 3, 4, 1, 8, 7, 2, 7, 1, 5, 4, 8, 5, 4, 7, 3, 6, 7, 9, 7, 6, 6},
        {6, 9, 8, 3, 9, 5, 5, 6, 2, 9, 7, 6, 5, 2, 5, 6, 6, 5, 2, 6, 9, 6, 7, 3, 4, 7, 8, 1, 4, 2, 4, 8, 2, 8, 6, 6, 5, 2, 6, 4, 4, 6, 1, 8, 8, 2, 5, 6, 5, 3, 5, 9, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 7, 8, 2, 6, 7, 4, 6, 7, 2, 3, 1, 6, 9, 5, 1, 3, 3, 2, 5, 7, 3, 2, 4, 3, 8, 7, 6, 6, 7, 3, 4, 3, 7, 4, 3, 9, 2, 6, 5, 1, 1, 4, 3, 6, 3, 9, 2, 6, 1, 5, 6, 2, 4, 9, 7, 3, 7, 8, 5},
        {2, 1, 8, 3, 8, 3, 2, 8, 8, 4, 2, 9, 2, 8, 7, 1, 2, 6, 9, 4, 1, 8, 2, 9, 7, 7, 8, 3, 4, 1, 2, 9, 5, 5, 4, 5, 8, 9, 3, 4, 6, 6, 3, 9, 1, 1, 4, 6, 5, 8, 9, 9, 7, 9, 9, 2, 3, 1, 6, 5, 8, 5, 5, 7, 8, 1, 6, 3, 3, 8, 7, 5, 2, 6, 1, 8, 4, 8, 8, 5, 2, 1, 5, 5, 8, 7, 8, 8, 9, 8, 4, 4, 6, 8, 2, 2, 7, 7, 5, 4, 4, 8, 7, 5, 4, 5, 3, 5, 6, 5, 3, 1, 1, 9, 5, 5, 9, 3, 6, 9, 4, 6, 9},
        {5, 7, 6, 6, 8, 5, 7, 2, 7, 4, 9, 6, 5, 5, 2, 8, 8, 1, 2, 9, 1, 5, 4, 4, 3, 1, 4, 3, 1, 5, 7, 6, 8, 5, 9, 8, 6, 9, 5, 9, 3, 4, 9, 4, 7, 4, 5, 5, 4, 6, 4, 6, 6, 6, 3, 7, 6, 5, 3, 3, 1, 4, 1, 8, 7, 5, 6, 9, 3, 1, 5, 1, 4, 1, 6, 9, 7, 6, 8, 3, 6, 9, 9, 2, 3, 6, 2, 5, 1, 7, 7, 9, 3, 7, 1, 9, 8, 5, 3, 1, 1, 2, 8, 8, 2, 2, 1, 3, 8, 2, 9, 4, 2, 5, 2, 8, 1, 5, 8, 9, 5, 6, 2}
    };
    calculate((unsigned int*) altitude_map_13, 79, 123);
    printf("\n");


    printf("TEST: altitude_map_14\n");
    printf("EXPECTING: contains a 10x10 grid of 9s at (63 , 97)\n");
    unsigned int altitude_map_14[79][136] = {
        {1, 5, 3, 5, 7, 9, 8, 3, 1, 8, 8, 8, 9, 7, 8, 9, 4, 4, 4, 8, 4, 5, 9, 9, 4, 5, 9, 5, 4, 1, 3, 4, 1, 8, 5, 3, 5, 1, 2, 2, 9, 8, 7, 9, 2, 1, 8, 1, 2, 5, 4, 4, 8, 6, 9, 3, 7, 4, 7, 1, 9, 9, 1, 1, 7, 6, 3, 7, 9, 3, 7, 8, 9, 9, 7, 4, 1, 5, 7, 2, 9, 8, 5, 1, 7, 3, 2, 2, 4, 2, 2, 6, 2, 6, 5, 3, 3, 5, 7, 8, 7, 5, 7, 4, 3, 5, 2, 4, 1, 2, 9, 7, 2, 1, 2, 1, 9, 1, 1, 9, 4, 3, 6, 9, 2, 5, 4, 2, 2, 6, 3, 7, 8, 6, 6, 5},
        {1, 5, 2, 5, 4, 6, 8, 5, 5, 5, 1, 3, 7, 8, 3, 5, 8, 6, 4, 3, 1, 5, 1, 5, 1, 3, 9, 9, 4, 9, 6, 4, 7, 5, 7, 6, 6, 2, 7, 8, 9, 2, 2, 6, 4, 1, 8, 1, 1, 9, 2, 1, 9, 3, 7, 2, 5, 6, 4, 1, 9, 4, 8, 3, 9, 3, 7, 9, 3, 8, 1, 7, 8, 3, 9, 2, 7, 2, 3, 6, 2, 6, 8, 8, 6, 3, 7, 5, 5, 2, 5, 5, 4, 9, 8, 5, 6, 7, 2, 3, 2, 4, 5, 8, 9, 8, 7, 3, 8, 7, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 8, 4, 8, 2, 4, 2, 6, 5, 8, 3, 4, 3, 1, 4, 1, 9},
        {6, 5, 4, 5, 8, 4, 1, 6, 1, 4, 2, 1, 5, 9, 5, 7, 7, 8, 5, 6, 4, 7, 2, 3, 1, 2, 7, 5, 8, 5, 5, 4, 4, 9, 1, 3, 9, 7, 2, 3, 6, 1, 7, 4, 3, 6, 4, 5, 4, 6, 5, 2, 6, 1, 8, 2, 7, 3, 7, 1, 6, 2, 9, 9, 1, 5, 8, 7, 6, 9, 1, 4, 6, 1, 8, 3, 8, 6, 2, 7, 2, 9, 5, 6, 1, 9, 4, 2, 4, 1, 8, 9, 6, 5, 8, 4, 5, 5, 6, 8, 5, 5, 4, 5, 2, 7, 5, 7, 8, 1, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 6, 3, 8, 1, 5, 4, 9, 5, 6, 6, 7, 3, 5, 7, 6, 2},
        {3, 9, 6, 8, 5, 6, 9, 6, 9, 4, 6, 6, 3, 1, 9, 1, 6, 1, 5, 3, 5, 9, 1, 4, 7, 6, 7, 8, 1, 1, 4, 5, 3, 7, 5, 9, 2, 6, 7, 1, 5, 7, 3, 8, 1, 3, 1, 4, 1, 3, 8, 7, 5, 8, 5, 6, 3, 9, 9, 7, 5, 1, 7, 7, 8, 9, 8, 9, 4, 2, 2, 6, 3, 8, 9, 9, 9, 7, 8, 5, 2, 8, 4, 9, 5, 3, 1, 6, 3, 8, 4, 3, 8, 6, 5, 8, 5, 7, 4, 7, 5, 1, 1, 9, 6, 9, 2, 7, 7, 1, 4, 3, 3, 3, 3, 3, 3, 8, 2, 6, 4, 1, 2, 1, 1, 1, 8, 5, 2, 7, 6, 4, 4, 4, 7, 9},
        {1, 4, 5, 2, 6, 1, 9, 6, 2, 1, 7, 3, 9, 3, 5, 3, 2, 7, 7, 4, 4, 4, 5, 1, 7, 2, 8, 9, 3, 7, 7, 2, 9, 4, 9, 5, 2, 2, 6, 4, 1, 6, 5, 4, 4, 9, 6, 2, 3, 4, 7, 8, 6, 8, 8, 1, 8, 8, 9, 9, 1, 9, 1, 9, 8, 2, 5, 7, 2, 6, 5, 7, 2, 8, 3, 1, 3, 3, 2, 8, 5, 4, 8, 6, 8, 9, 8, 9, 2, 8, 3, 8, 4, 6, 2, 9, 3, 2, 5, 7, 4, 9, 1, 7, 1, 3, 1, 1, 6, 6, 1, 3, 3, 3, 3, 3, 3, 3, 5, 8, 8, 9, 2, 6, 6, 4, 9, 2, 3, 9, 8, 1, 9, 8, 4, 5},
        {5, 1, 4, 2, 9, 2, 4, 5, 2, 1, 3, 8, 2, 4, 6, 9, 9, 9, 8, 9, 3, 4, 8, 2, 9, 7, 3, 9, 9, 7, 4, 6, 2, 8, 3, 9, 5, 6, 2, 7, 6, 3, 8, 6, 1, 9, 9, 6, 5, 3, 6, 3, 6, 7, 9, 7, 9, 5, 4, 1, 9, 8, 6, 4, 3, 7, 5, 6, 1, 2, 3, 2, 8, 9, 2, 1, 7, 6, 4, 9, 6, 2, 6, 7, 2, 4, 6, 5, 6, 7, 6, 4, 8, 7, 3, 4, 8, 3, 3, 7, 5, 9, 5, 2, 7, 8, 5, 7, 9, 9, 8, 3, 3, 3, 3, 3, 3, 2, 7, 2, 3, 8, 6, 9, 7, 5, 3, 5, 7, 3, 8, 9, 2, 7, 3, 5},
        {3, 3, 6, 4, 4, 4, 5, 3, 8, 1, 8, 3, 6, 2, 6, 6, 4, 5, 2, 5, 9, 2, 3, 2, 2, 5, 8, 6, 9, 5, 4, 9, 1, 3, 4, 1, 8, 8, 6, 7, 1, 5, 9, 7, 7, 3, 8, 9, 6, 2, 2, 4, 1, 7, 2, 3, 1, 1, 5, 4, 9, 6, 5, 7, 3, 4, 8, 9, 8, 5, 5, 7, 9, 1, 5, 2, 6, 6, 2, 9, 3, 2, 1, 2, 6, 6, 8, 2, 5, 2, 7, 4, 4, 8, 4, 7, 5, 4, 7, 5, 8, 1, 4, 3, 4, 9, 7, 4, 1, 7, 2, 3, 3, 3, 3, 3, 3, 2, 9, 6, 8, 9, 6, 4, 8, 7, 6, 6, 1, 9, 2, 9, 7, 3, 5, 7},
        {9, 6, 8, 8, 8, 6, 2, 1, 7, 4, 3, 3, 1, 3, 8, 3, 2, 7, 8, 6, 9, 5, 4, 8, 1, 3, 6, 3, 7, 6, 3, 9, 5, 8, 8, 6, 8, 3, 8, 8, 9, 3, 8, 5, 4, 9, 9, 3, 3, 2, 5, 3, 2, 7, 3, 8, 6, 7, 8, 2, 1, 8, 6, 2, 4, 3, 1, 2, 1, 8, 2, 9, 5, 8, 8, 4, 1, 1, 7, 2, 1, 3, 9, 7, 6, 2, 2, 7, 7, 4, 3, 2, 4, 4, 4, 6, 7, 3, 5, 2, 3, 4, 8, 8, 5, 5, 8, 1, 8, 3, 3, 5, 6, 2, 2, 7, 6, 6, 2, 2, 9, 9, 8, 9, 3, 6, 1, 9, 2, 3, 6, 6, 3, 3, 3, 7},
        {2, 7, 8, 9, 6, 1, 4, 9, 7, 3, 7, 9, 4, 3, 4, 4, 8, 6, 6, 6, 8, 1, 4, 8, 8, 3, 7, 7, 6, 4, 3, 5, 8, 7, 5, 6, 1, 8, 9, 2, 5, 7, 5, 2, 6, 9, 4, 4, 9, 7, 1, 4, 6, 6, 4, 8, 4, 2, 4, 6, 5, 8, 7, 3, 8, 8, 8, 6, 6, 8, 9, 7, 4, 4, 4, 4, 4, 3, 9, 7, 5, 3, 7, 5, 6, 3, 3, 4, 2, 5, 4, 5, 4, 1, 8, 3, 2, 3, 6, 7, 1, 8, 4, 9, 7, 8, 9, 1, 9, 1, 1, 1, 5, 6, 1, 9, 8, 2, 5, 2, 9, 2, 2, 6, 4, 3, 5, 3, 8, 9, 5, 5, 7, 1, 6, 1},
        {5, 2, 5, 4, 6, 4, 4, 2, 2, 9, 5, 8, 7, 6, 7, 8, 7, 3, 4, 1, 9, 6, 4, 2, 5, 1, 4, 5, 8, 1, 6, 8, 7, 1, 5, 2, 1, 9, 6, 8, 4, 8, 1, 3, 7, 3, 4, 1, 9, 9, 4, 1, 3, 6, 9, 5, 1, 7, 4, 6, 9, 4, 5, 4, 4, 2, 9, 9, 2, 8, 2, 4, 7, 8, 4, 7, 1, 3, 8, 8, 5, 1, 9, 6, 1, 1, 5, 1, 5, 1, 5, 8, 3, 6, 2, 1, 3, 8, 1, 3, 1, 5, 3, 7, 3, 4, 5, 5, 5, 8, 3, 3, 7, 8, 4, 8, 7, 3, 2, 2, 9, 3, 3, 8, 9, 3, 9, 2, 1, 1, 7, 8, 4, 9, 3, 3},
        {5, 1, 2, 9, 5, 9, 5, 8, 2, 3, 1, 5, 6, 9, 3, 3, 7, 8, 5, 2, 1, 5, 9, 8, 9, 5, 9, 8, 4, 8, 2, 5, 3, 4, 8, 7, 7, 6, 5, 5, 6, 3, 4, 7, 1, 2, 6, 2, 5, 4, 7, 2, 6, 6, 7, 3, 2, 2, 7, 2, 1, 7, 1, 4, 2, 3, 4, 8, 2, 4, 8, 6, 3, 9, 3, 3, 3, 5, 8, 9, 4, 7, 6, 5, 1, 7, 6, 3, 3, 9, 2, 3, 9, 4, 3, 3, 8, 3, 2, 4, 2, 7, 6, 1, 1, 3, 5, 6, 3, 4, 6, 7, 4, 4, 6, 6, 8, 8, 3, 8, 9, 6, 8, 4, 7, 8, 3, 4, 8, 2, 2, 9, 8, 7, 3, 6},
        {4, 4, 4, 5, 9, 1, 2, 2, 5, 6, 8, 6, 1, 8, 2, 2, 3, 3, 3, 9, 3, 9, 2, 7, 8, 1, 4, 2, 2, 3, 3, 4, 4, 6, 4, 9, 7, 9, 6, 6, 7, 6, 3, 9, 3, 4, 7, 1, 3, 8, 1, 7, 9, 5, 5, 7, 9, 3, 7, 6, 7, 3, 5, 5, 2, 7, 5, 5, 9, 1, 2, 8, 1, 1, 4, 8, 4, 1, 6, 5, 4, 7, 5, 4, 2, 6, 7, 9, 7, 9, 7, 1, 8, 5, 4, 2, 2, 3, 6, 7, 4, 8, 8, 5, 6, 9, 2, 2, 5, 8, 3, 7, 2, 5, 4, 8, 5, 2, 9, 5, 5, 2, 2, 6, 1, 8, 7, 6, 6, 6, 7, 7, 6, 5, 4, 1},
        {8, 5, 9, 6, 1, 8, 2, 7, 3, 1, 8, 3, 7, 8, 8, 3, 5, 1, 4, 5, 9, 3, 3, 4, 8, 6, 8, 5, 5, 3, 7, 2, 5, 2, 1, 9, 6, 4, 9, 5, 2, 8, 2, 3, 2, 5, 9, 1, 8, 7, 8, 9, 2, 5, 5, 5, 2, 1, 6, 1, 1, 5, 6, 2, 6, 5, 2, 5, 4, 2, 5, 9, 8, 5, 3, 2, 7, 9, 7, 7, 7, 7, 9, 1, 9, 8, 8, 8, 1, 4, 3, 1, 5, 3, 7, 1, 5, 7, 2, 8, 6, 8, 3, 4, 8, 6, 2, 6, 1, 9, 6, 4, 3, 6, 4, 1, 5, 4, 5, 6, 1, 7, 3, 7, 8, 3, 8, 2, 2, 6, 1, 1, 2, 2, 2, 2},
        {2, 2, 3, 6, 5, 9, 4, 3, 2, 8, 2, 6, 4, 7, 7, 8, 9, 3, 4, 1, 5, 9, 8, 1, 1, 2, 9, 1, 1, 8, 3, 8, 9, 1, 5, 8, 5, 9, 6, 9, 3, 5, 9, 6, 6, 6, 4, 1, 9, 2, 3, 2, 6, 6, 2, 6, 7, 3, 2, 4, 4, 5, 5, 1, 3, 5, 3, 8, 1, 3, 8, 9, 8, 9, 7, 1, 6, 6, 9, 9, 2, 8, 1, 3, 6, 9, 6, 7, 3, 2, 8, 5, 8, 6, 1, 4, 7, 7, 2, 9, 3, 4, 8, 7, 3, 7, 6, 9, 6, 8, 3, 8, 5, 5, 7, 3, 1, 9, 9, 6, 2, 7, 2, 6, 3, 1, 1, 5, 5, 3, 1, 2, 2, 2, 3, 2},
        {7, 1, 6, 6, 3, 3, 6, 9, 4, 9, 6, 1, 8, 3, 9, 9, 2, 2, 7, 7, 9, 9, 9, 2, 2, 6, 1, 5, 7, 1, 1, 6, 9, 5, 8, 8, 2, 6, 2, 4, 4, 7, 8, 6, 5, 2, 3, 4, 2, 8, 3, 5, 2, 2, 6, 8, 1, 6, 8, 6, 3, 4, 7, 5, 4, 8, 4, 1, 1, 3, 9, 5, 8, 7, 9, 4, 6, 1, 7, 5, 4, 3, 9, 7, 8, 5, 5, 9, 7, 5, 2, 9, 8, 4, 5, 6, 6, 5, 4, 9, 3, 8, 9, 6, 9, 2, 3, 6, 6, 9, 8, 3, 6, 1, 5, 1, 2, 5, 1, 8, 5, 7, 7, 3, 9, 1, 7, 3, 4, 1, 3, 6, 3, 3, 4, 5},
        {3, 6, 7, 3, 8, 8, 9, 9, 7, 7, 3, 2, 5, 4, 5, 7, 8, 7, 2, 6, 3, 1, 1, 4, 3, 8, 2, 6, 9, 3, 1, 1, 8, 8, 7, 1, 8, 6, 2, 4, 4, 6, 6, 1, 4, 9, 4, 9, 7, 8, 4, 4, 5, 7, 4, 4, 4, 1, 3, 4, 4, 3, 3, 6, 6, 7, 6, 6, 8, 4, 1, 5, 4, 5, 5, 6, 6, 2, 8, 4, 6, 9, 3, 3, 6, 1, 8, 7, 4, 4, 2, 4, 2, 6, 8, 6, 1, 2, 9, 2, 3, 8, 9, 2, 9, 5, 3, 1, 2, 6, 7, 6, 5, 3, 7, 9, 6, 8, 4, 8, 4, 8, 2, 9, 2, 4, 2, 7, 6, 2, 2, 5, 4, 1, 8, 3},
        {5, 5, 5, 8, 8, 2, 2, 5, 2, 6, 3, 7, 1, 5, 5, 9, 6, 4, 4, 8, 6, 7, 8, 3, 5, 9, 8, 7, 9, 9, 2, 2, 2, 7, 9, 3, 3, 1, 9, 1, 4, 4, 2, 6, 8, 9, 1, 8, 4, 3, 4, 9, 7, 8, 7, 7, 6, 1, 9, 5, 3, 2, 5, 2, 1, 3, 8, 1, 4, 4, 3, 5, 6, 2, 5, 5, 1, 5, 7, 1, 9, 8, 3, 3, 4, 7, 5, 4, 4, 2, 2, 6, 1, 4, 7, 8, 7, 6, 7, 1, 5, 7, 9, 4, 6, 3, 5, 9, 1, 3, 2, 9, 1, 2, 4, 6, 2, 3, 6, 8, 8, 3, 4, 6, 3, 4, 9, 3, 8, 7, 9, 2, 2, 2, 2, 5},
        {2, 9, 4, 7, 2, 2, 7, 2, 6, 6, 3, 9, 6, 4, 9, 2, 7, 8, 1, 3, 2, 3, 2, 9, 7, 3, 2, 4, 1, 5, 5, 3, 7, 7, 7, 3, 4, 6, 2, 4, 9, 9, 4, 3, 5, 6, 7, 1, 7, 7, 6, 1, 6, 9, 1, 7, 7, 2, 8, 2, 1, 6, 5, 8, 6, 4, 6, 9, 3, 1, 9, 7, 7, 8, 3, 2, 8, 7, 8, 3, 2, 9, 7, 9, 4, 2, 6, 7, 6, 6, 3, 3, 2, 5, 9, 7, 7, 8, 7, 4, 6, 6, 4, 7, 8, 9, 3, 9, 9, 1, 7, 9, 1, 3, 1, 4, 2, 5, 6, 6, 2, 9, 8, 9, 1, 5, 5, 4, 3, 9, 9, 8, 8, 3, 4, 5},
        {7, 7, 1, 7, 2, 9, 8, 3, 9, 3, 4, 8, 7, 9, 5, 8, 5, 1, 4, 8, 5, 4, 9, 4, 4, 6, 1, 8, 5, 4, 9, 7, 9, 5, 1, 4, 7, 9, 6, 8, 1, 7, 5, 8, 7, 7, 5, 4, 6, 7, 7, 2, 2, 2, 7, 7, 2, 8, 9, 7, 6, 8, 7, 1, 2, 7, 7, 4, 7, 1, 6, 1, 6, 5, 1, 4, 3, 8, 6, 8, 8, 9, 1, 1, 9, 8, 7, 1, 1, 8, 5, 9, 7, 3, 8, 3, 5, 1, 2, 2, 9, 7, 3, 6, 1, 4, 2, 4, 6, 3, 1, 7, 2, 8, 4, 7, 8, 5, 4, 8, 2, 9, 8, 5, 2, 6, 6, 7, 7, 3, 3, 8, 4, 6, 1, 3},
        {5, 1, 7, 7, 6, 5, 1, 6, 6, 5, 4, 5, 4, 2, 8, 3, 6, 2, 5, 7, 4, 1, 2, 8, 2, 8, 5, 2, 9, 2, 9, 5, 7, 1, 9, 2, 4, 2, 6, 3, 7, 5, 2, 7, 5, 6, 6, 9, 2, 8, 9, 4, 3, 3, 1, 8, 6, 2, 4, 8, 3, 1, 6, 8, 7, 7, 5, 7, 7, 4, 5, 8, 4, 6, 7, 8, 4, 6, 5, 5, 4, 2, 3, 9, 5, 5, 9, 1, 1, 9, 2, 1, 5, 2, 1, 9, 2, 6, 7, 3, 7, 8, 8, 9, 8, 4, 2, 8, 2, 7, 6, 2, 9, 2, 9, 5, 7, 6, 9, 4, 7, 8, 3, 8, 9, 4, 2, 3, 1, 3, 9, 1, 3, 6, 5, 5},
        {4, 6, 8, 5, 8, 5, 7, 5, 2, 8, 6, 2, 3, 2, 1, 6, 7, 1, 1, 6, 7, 8, 6, 5, 9, 7, 1, 6, 4, 7, 4, 1, 3, 3, 2, 2, 6, 3, 4, 4, 2, 3, 6, 4, 4, 3, 3, 5, 2, 2, 2, 3, 9, 4, 2, 5, 9, 4, 9, 3, 8, 7, 2, 5, 1, 4, 9, 7, 6, 9, 2, 9, 4, 1, 6, 9, 8, 9, 3, 9, 8, 5, 9, 2, 1, 4, 6, 3, 5, 1, 5, 1, 4, 9, 3, 3, 5, 9, 2, 4, 4, 7, 4, 9, 7, 6, 4, 7, 9, 9, 9, 2, 2, 1, 6, 1, 8, 1, 6, 6, 2, 9, 9, 7, 3, 1, 6, 2, 2, 5, 3, 2, 6, 8, 8, 2},
        {2, 1, 6, 7, 9, 7, 2, 6, 2, 1, 1, 3, 2, 3, 8, 8, 9, 1, 9, 6, 3, 9, 9, 3, 9, 5, 3, 3, 1, 7, 4, 2, 1, 7, 9, 3, 3, 2, 7, 2, 9, 7, 7, 3, 9, 9, 7, 5, 2, 4, 4, 8, 4, 4, 1, 5, 2, 5, 7, 8, 3, 6, 1, 1, 6, 8, 5, 9, 5, 7, 4, 5, 5, 4, 9, 9, 8, 9, 5, 2, 6, 5, 2, 4, 3, 8, 8, 8, 5, 5, 6, 6, 8, 2, 8, 7, 8, 3, 4, 9, 9, 7, 9, 6, 3, 6, 6, 3, 8, 3, 4, 3, 7, 3, 3, 3, 4, 8, 3, 5, 3, 6, 3, 2, 4, 7, 4, 1, 3, 8, 9, 5, 8, 2, 2, 8},
        {3, 2, 2, 9, 4, 4, 3, 1, 6, 2, 8, 3, 3, 3, 7, 2, 5, 2, 6, 7, 4, 2, 2, 3, 9, 8, 1, 6, 7, 6, 6, 1, 6, 9, 7, 9, 7, 6, 1, 3, 6, 1, 1, 7, 6, 9, 5, 1, 9, 2, 4, 4, 7, 1, 8, 5, 6, 3, 9, 2, 5, 9, 4, 3, 5, 9, 5, 3, 1, 2, 2, 9, 2, 3, 9, 1, 8, 5, 9, 3, 6, 2, 7, 3, 1, 6, 3, 4, 4, 9, 5, 9, 7, 7, 3, 6, 2, 6, 9, 2, 1, 8, 4, 7, 8, 8, 4, 3, 3, 3, 4, 3, 8, 7, 4, 7, 4, 1, 4, 4, 5, 3, 4, 3, 5, 4, 8, 6, 5, 7, 7, 7, 9, 5, 4, 6},
        {4, 5, 3, 1, 7, 9, 5, 5, 3, 3, 8, 9, 9, 7, 6, 6, 4, 9, 2, 6, 9, 4, 8, 1, 2, 9, 1, 2, 1, 9, 4, 9, 9, 9, 5, 9, 4, 5, 5, 2, 4, 9, 3, 7, 5, 7, 2, 5, 6, 3, 8, 2, 9, 1, 5, 4, 2, 8, 7, 7, 4, 4, 3, 2, 4, 3, 7, 4, 4, 9, 3, 4, 6, 8, 1, 7, 8, 8, 4, 2, 8, 4, 2, 3, 4, 7, 3, 1, 6, 3, 1, 7, 2, 8, 9, 4, 5, 3, 3, 3, 9, 3, 5, 5, 3, 2, 5, 3, 1, 3, 2, 4, 4, 1, 6, 5, 8, 9, 4, 3, 8, 4, 2, 7, 2, 8, 3, 2, 6, 9, 1, 5, 5, 5, 5, 7},
        {2, 7, 4, 7, 1, 6, 2, 1, 4, 8, 2, 9, 1, 5, 5, 7, 6, 1, 1, 1, 3, 1, 7, 8, 8, 8, 9, 7, 3, 8, 1, 2, 6, 3, 3, 3, 9, 4, 1, 3, 6, 3, 5, 4, 1, 3, 8, 2, 3, 4, 8, 3, 6, 2, 8, 1, 1, 8, 5, 7, 8, 7, 4, 9, 4, 9, 3, 6, 4, 6, 1, 1, 9, 2, 8, 2, 9, 7, 7, 1, 1, 5, 5, 6, 4, 4, 8, 9, 1, 2, 9, 8, 2, 2, 3, 5, 3, 9, 3, 9, 2, 8, 8, 1, 1, 3, 2, 5, 2, 1, 2, 4, 8, 1, 1, 5, 7, 9, 6, 7, 1, 8, 3, 6, 2, 2, 9, 4, 9, 4, 3, 7, 1, 7, 7, 6},
        {5, 7, 4, 2, 3, 6, 2, 8, 4, 7, 8, 5, 7, 2, 5, 6, 2, 7, 5, 8, 1, 9, 4, 3, 2, 8, 6, 1, 6, 8, 9, 7, 6, 9, 6, 5, 7, 9, 4, 3, 6, 9, 4, 4, 9, 7, 2, 7, 7, 5, 8, 5, 2, 4, 4, 2, 7, 3, 4, 7, 8, 9, 3, 6, 4, 7, 3, 8, 4, 7, 8, 7, 5, 6, 3, 6, 6, 6, 7, 3, 4, 8, 4, 1, 3, 8, 7, 2, 4, 2, 3, 4, 2, 7, 3, 3, 2, 8, 3, 8, 5, 5, 9, 1, 3, 1, 8, 8, 2, 6, 9, 5, 2, 9, 9, 3, 3, 8, 2, 8, 6, 3, 3, 2, 8, 9, 3, 6, 2, 8, 6, 1, 2, 5, 9, 3},
        {6, 4, 6, 4, 9, 4, 2, 4, 5, 3, 9, 8, 9, 6, 8, 2, 3, 7, 7, 6, 7, 7, 4, 2, 1, 1, 4, 3, 8, 6, 4, 2, 1, 4, 3, 1, 1, 3, 1, 1, 5, 7, 9, 5, 2, 1, 1, 9, 2, 5, 3, 7, 1, 9, 7, 5, 4, 8, 2, 2, 4, 7, 2, 8, 5, 7, 5, 7, 4, 2, 4, 3, 8, 5, 5, 4, 5, 4, 9, 3, 1, 5, 5, 2, 8, 9, 4, 8, 3, 1, 3, 9, 9, 3, 1, 8, 1, 5, 9, 7, 9, 4, 6, 4, 7, 6, 9, 3, 9, 7, 8, 6, 7, 9, 3, 8, 4, 1, 2, 3, 1, 8, 5, 4, 5, 7, 7, 7, 8, 1, 6, 5, 5, 4, 5, 5},
        {6, 1, 3, 3, 1, 7, 9, 7, 2, 1, 4, 8, 3, 4, 7, 1, 7, 8, 2, 7, 4, 6, 7, 7, 3, 8, 1, 3, 1, 7, 7, 8, 9, 6, 9, 5, 6, 2, 3, 3, 5, 4, 7, 5, 9, 6, 7, 9, 5, 5, 4, 3, 5, 1, 9, 7, 6, 6, 7, 6, 7, 7, 3, 3, 3, 7, 5, 3, 2, 5, 6, 7, 3, 4, 4, 3, 4, 6, 3, 6, 6, 7, 1, 1, 3, 2, 4, 9, 9, 6, 2, 7, 6, 9, 7, 4, 6, 6, 2, 1, 4, 9, 7, 6, 2, 9, 5, 7, 9, 9, 3, 4, 6, 7, 9, 7, 4, 5, 3, 8, 8, 5, 2, 1, 1, 4, 5, 6, 1, 6, 6, 2, 1, 3, 3, 9},
        {7, 5, 5, 5, 8, 8, 2, 2, 6, 7, 7, 9, 4, 1, 5, 6, 3, 5, 4, 5, 1, 7, 4, 8, 1, 4, 2, 4, 9, 2, 8, 7, 3, 8, 6, 7, 1, 2, 7, 4, 7, 3, 1, 7, 1, 7, 9, 9, 2, 7, 9, 2, 6, 1, 3, 2, 6, 3, 6, 7, 2, 4, 9, 3, 2, 7, 4, 7, 3, 5, 9, 2, 3, 9, 9, 8, 5, 5, 9, 8, 9, 8, 9, 7, 5, 6, 9, 4, 1, 3, 1, 5, 7, 9, 4, 5, 5, 1, 2, 4, 7, 5, 2, 5, 2, 7, 6, 6, 4, 6, 5, 7, 6, 5, 8, 2, 1, 7, 3, 7, 2, 6, 9, 2, 7, 4, 3, 8, 2, 5, 3, 6, 7, 7, 3, 8},
        {2, 7, 1, 8, 1, 8, 2, 9, 6, 8, 4, 4, 2, 4, 3, 2, 6, 8, 9, 4, 8, 1, 1, 5, 5, 2, 8, 1, 2, 8, 5, 1, 6, 1, 7, 5, 6, 6, 6, 2, 7, 7, 1, 7, 3, 1, 9, 6, 7, 5, 9, 5, 2, 5, 9, 6, 6, 1, 9, 7, 9, 7, 2, 9, 9, 7, 1, 1, 5, 3, 2, 4, 6, 7, 3, 1, 9, 2, 3, 1, 8, 4, 2, 4, 8, 2, 7, 1, 1, 3, 4, 7, 7, 3, 7, 1, 3, 4, 4, 2, 4, 7, 7, 9, 9, 7, 8, 4, 7, 9, 9, 4, 1, 3, 2, 2, 4, 2, 5, 3, 7, 1, 4, 3, 5, 6, 5, 1, 3, 9, 8, 3, 9, 6, 3, 8},
        {7, 1, 8, 7, 8, 3, 8, 6, 2, 7, 4, 2, 4, 2, 5, 6, 8, 1, 7, 4, 4, 8, 9, 9, 9, 7, 4, 4, 4, 6, 5, 8, 3, 8, 6, 2, 9, 5, 7, 7, 5, 8, 1, 2, 6, 1, 4, 7, 3, 3, 9, 6, 1, 7, 4, 1, 5, 3, 9, 5, 9, 7, 9, 9, 5, 4, 5, 6, 6, 3, 9, 9, 7, 5, 6, 5, 5, 5, 2, 3, 9, 8, 2, 1, 8, 2, 4, 9, 4, 7, 9, 8, 1, 2, 5, 1, 3, 4, 9, 3, 4, 9, 8, 6, 6, 6, 4, 2, 2, 8, 5, 9, 8, 6, 1, 2, 3, 1, 3, 8, 2, 5, 7, 4, 7, 3, 5, 7, 9, 7, 3, 4, 3, 1, 8, 9},
        {8, 1, 2, 1, 6, 5, 7, 4, 3, 1, 6, 2, 7, 3, 2, 9, 9, 1, 1, 3, 3, 8, 1, 2, 1, 3, 1, 9, 4, 8, 4, 9, 6, 2, 7, 2, 8, 8, 1, 6, 8, 8, 7, 5, 2, 6, 2, 3, 4, 7, 7, 8, 7, 2, 8, 2, 6, 8, 2, 3, 6, 1, 1, 2, 8, 3, 6, 5, 1, 4, 3, 6, 9, 9, 1, 2, 4, 2, 5, 4, 4, 6, 1, 5, 2, 3, 2, 4, 2, 4, 2, 2, 2, 6, 3, 3, 1, 8, 7, 3, 6, 6, 3, 1, 7, 7, 6, 9, 6, 7, 1, 8, 4, 6, 3, 5, 1, 4, 3, 9, 6, 2, 8, 5, 7, 1, 8, 7, 9, 8, 8, 9, 4, 9, 5, 8},
        {5, 8, 9, 3, 5, 3, 4, 6, 4, 2, 9, 4, 1, 1, 7, 4, 3, 6, 5, 2, 2, 1, 1, 1, 7, 8, 4, 5, 6, 9, 7, 8, 9, 4, 7, 2, 8, 5, 2, 3, 6, 4, 3, 4, 7, 7, 2, 3, 7, 6, 9, 6, 4, 4, 7, 5, 9, 3, 7, 1, 9, 3, 1, 4, 8, 4, 2, 8, 4, 6, 4, 6, 6, 8, 8, 3, 2, 1, 1, 4, 2, 5, 2, 2, 7, 8, 2, 9, 6, 8, 8, 6, 2, 5, 2, 1, 4, 3, 1, 4, 2, 2, 9, 8, 6, 6, 7, 9, 7, 2, 7, 7, 2, 6, 9, 9, 4, 5, 6, 8, 3, 5, 8, 5, 5, 7, 5, 3, 6, 4, 1, 3, 2, 8, 8, 8},
        {9, 7, 4, 2, 4, 5, 9, 4, 3, 3, 8, 2, 8, 6, 8, 6, 2, 3, 5, 7, 6, 2, 2, 9, 9, 1, 1, 6, 8, 5, 7, 7, 4, 4, 5, 3, 8, 1, 5, 4, 8, 1, 4, 4, 4, 5, 3, 8, 3, 5, 7, 5, 5, 3, 7, 6, 3, 8, 7, 6, 5, 9, 6, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 4, 9, 7, 1, 1, 6, 6, 8, 3, 3, 6, 9, 5, 7, 7, 8, 4, 9, 9, 3, 7, 2, 1, 2, 6, 2, 1, 9, 7, 3, 9, 6, 3, 2, 9, 8, 5, 6, 8, 6, 3, 5, 7, 8, 7, 7, 2, 3, 6, 5, 7, 7, 7, 9, 8, 2, 5, 2, 9, 7, 5},
        {8, 5, 6, 6, 4, 2, 7, 8, 6, 8, 6, 1, 7, 8, 7, 6, 2, 6, 8, 9, 2, 9, 1, 2, 8, 1, 3, 4, 8, 5, 7, 6, 8, 5, 9, 4, 2, 7, 2, 4, 5, 1, 8, 9, 1, 1, 2, 5, 7, 7, 3, 9, 6, 6, 3, 4, 3, 1, 6, 6, 7, 1, 2, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 8, 5, 2, 1, 9, 7, 7, 7, 9, 6, 6, 5, 5, 2, 8, 2, 4, 9, 5, 4, 8, 9, 1, 9, 5, 5, 2, 1, 7, 4, 9, 7, 4, 6, 8, 6, 9, 5, 5, 6, 4, 9, 7, 8, 3, 2, 5, 4, 6, 3, 3, 4, 7, 7, 5, 5, 1, 4, 8, 4, 4},
        {6, 1, 7, 8, 5, 4, 4, 5, 3, 8, 6, 8, 5, 9, 7, 7, 5, 4, 7, 8, 9, 1, 4, 1, 9, 7, 8, 8, 4, 9, 3, 8, 2, 4, 1, 4, 8, 5, 7, 9, 6, 1, 3, 9, 4, 1, 7, 6, 5, 8, 9, 4, 4, 6, 9, 2, 4, 8, 9, 4, 3, 8, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 2, 3, 8, 1, 3, 4, 5, 8, 2, 1, 5, 1, 2, 7, 8, 1, 5, 1, 7, 8, 7, 9, 4, 3, 6, 8, 6, 2, 4, 5, 4, 3, 7, 4, 8, 3, 8, 5, 5, 6, 1, 9, 2, 9, 6, 1, 9, 4, 7, 1, 4, 1, 4, 2, 8, 5, 3, 6, 8, 1, 9, 6},
        {4, 1, 8, 6, 1, 7, 2, 5, 5, 5, 2, 8, 3, 9, 9, 3, 4, 5, 4, 2, 1, 7, 3, 1, 8, 2, 6, 9, 4, 5, 3, 6, 8, 4, 7, 4, 4, 5, 3, 7, 2, 1, 5, 8, 3, 7, 4, 2, 8, 6, 3, 3, 2, 8, 7, 9, 8, 9, 9, 4, 7, 4, 1, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 9, 6, 9, 4, 3, 8, 2, 5, 8, 5, 4, 6, 5, 9, 9, 3, 3, 4, 7, 8, 2, 2, 6, 7, 4, 4, 4, 2, 9, 2, 9, 8, 7, 7, 3, 8, 7, 5, 6, 1, 9, 3, 4, 1, 8, 3, 6, 4, 2, 6, 5, 2, 8, 9, 7, 1, 2, 3, 8},
        {9, 3, 2, 7, 1, 7, 4, 6, 3, 4, 8, 3, 5, 9, 7, 1, 5, 7, 6, 8, 9, 8, 7, 5, 1, 3, 3, 5, 7, 9, 3, 7, 2, 1, 5, 3, 6, 7, 9, 4, 6, 7, 7, 7, 9, 3, 4, 3, 1, 5, 4, 8, 4, 2, 2, 5, 4, 1, 9, 2, 1, 1, 2, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 1, 6, 6, 6, 4, 3, 6, 2, 1, 9, 3, 4, 7, 7, 2, 1, 5, 7, 8, 9, 7, 4, 6, 7, 3, 3, 2, 7, 8, 8, 8, 1, 2, 3, 5, 5, 2, 6, 6, 2, 8, 9, 9, 7, 8, 6, 2, 2, 2, 6, 6, 5, 2, 8, 2, 5, 6, 1, 4, 2, 4, 6},
        {3, 9, 5, 4, 2, 4, 2, 3, 8, 6, 5, 4, 6, 5, 1, 5, 9, 4, 9, 5, 6, 7, 9, 3, 3, 4, 8, 5, 5, 7, 1, 1, 6, 6, 3, 1, 7, 7, 4, 8, 2, 2, 3, 9, 1, 4, 6, 7, 2, 9, 1, 2, 1, 6, 8, 1, 9, 9, 2, 8, 7, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 9, 6, 1, 4, 8, 4, 5, 8, 8, 4, 9, 3, 1, 8, 7, 2, 2, 2, 7, 2, 1, 8, 9, 6, 6, 8, 9, 1, 5, 3, 8, 1, 8, 8, 4, 2, 4, 7, 8, 7, 7, 8, 7, 9, 2, 9, 4, 1, 3, 4, 3, 9, 5, 9, 2, 4, 9, 2, 6, 6, 2},
        {4, 6, 9, 4, 2, 9, 1, 9, 3, 5, 9, 5, 3, 5, 9, 7, 4, 2, 1, 9, 2, 7, 3, 3, 7, 1, 3, 7, 6, 3, 7, 2, 8, 6, 3, 1, 8, 9, 2, 1, 2, 3, 4, 3, 6, 9, 5, 4, 6, 7, 1, 2, 3, 5, 5, 9, 2, 4, 5, 9, 8, 5, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 3, 7, 9, 8, 3, 2, 3, 4, 9, 6, 8, 1, 3, 3, 1, 4, 4, 2, 3, 2, 9, 5, 3, 9, 3, 6, 8, 3, 9, 7, 8, 3, 4, 3, 2, 8, 8, 6, 6, 5, 1, 8, 4, 1, 9, 8, 2, 1, 3, 9, 6, 9, 5, 8, 2, 3, 3, 1, 1},
        {6, 9, 3, 8, 8, 2, 6, 6, 3, 6, 5, 9, 8, 8, 7, 9, 9, 9, 4, 4, 9, 9, 6, 4, 9, 8, 9, 8, 7, 8, 5, 2, 3, 9, 7, 5, 5, 9, 8, 7, 3, 6, 7, 9, 4, 9, 9, 9, 6, 8, 3, 1, 9, 1, 1, 1, 6, 2, 3, 1, 2, 8, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 5, 5, 1, 9, 8, 8, 7, 9, 1, 4, 8, 5, 8, 8, 3, 4, 5, 6, 7, 2, 4, 6, 2, 7, 4, 2, 7, 2, 9, 3, 9, 8, 1, 6, 2, 4, 4, 9, 5, 4, 7, 5, 2, 6, 7, 8, 5, 7, 9, 4, 6, 1, 8, 2, 8, 4, 5, 8, 3},
        {7, 5, 6, 3, 9, 4, 7, 6, 2, 8, 5, 1, 2, 5, 2, 6, 7, 4, 9, 1, 1, 2, 2, 7, 8, 9, 1, 1, 5, 1, 4, 7, 5, 1, 5, 9, 1, 1, 7, 3, 4, 3, 7, 7, 5, 9, 4, 1, 3, 9, 1, 6, 2, 2, 5, 6, 5, 4, 2, 7, 2, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 6, 9, 8, 3, 9, 4, 1, 1, 3, 4, 3, 6, 9, 5, 7, 8, 6, 3, 9, 1, 1, 3, 8, 4, 7, 3, 7, 9, 5, 9, 1, 2, 8, 6, 8, 9, 4, 1, 8, 1, 3, 1, 4, 3, 2, 7, 3, 3, 3, 4, 3, 7, 1, 1, 7, 1, 5, 7, 8},
        {9, 7, 6, 9, 3, 9, 4, 3, 2, 1, 6, 3, 3, 6, 4, 7, 2, 7, 5, 3, 3, 2, 4, 7, 5, 5, 9, 8, 6, 2, 7, 8, 2, 7, 5, 5, 2, 5, 9, 3, 4, 3, 9, 5, 3, 8, 9, 8, 2, 7, 2, 9, 8, 3, 3, 4, 1, 5, 1, 1, 5, 9, 1, 1, 1, 5, 2, 8, 2, 1, 4, 6, 5, 9, 9, 9, 9, 4, 3, 6, 9, 9, 5, 3, 4, 6, 2, 7, 1, 3, 8, 5, 8, 6, 3, 7, 6, 6, 6, 7, 3, 7, 2, 3, 5, 6, 8, 5, 4, 9, 2, 3, 9, 3, 5, 7, 3, 5, 2, 2, 6, 8, 6, 9, 3, 6, 5, 1, 6, 3, 8, 4, 6, 4, 8, 4},
        {5, 3, 7, 5, 5, 8, 7, 5, 3, 3, 4, 6, 8, 4, 9, 3, 4, 1, 7, 1, 4, 9, 4, 5, 3, 6, 9, 5, 3, 7, 3, 4, 9, 7, 5, 5, 4, 8, 4, 1, 5, 5, 9, 8, 2, 8, 5, 6, 8, 1, 5, 6, 4, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 5, 4, 8, 8, 7, 2, 1, 3, 1, 4, 2, 7, 4, 1, 2, 8, 4, 9, 7, 6, 3, 3, 5, 8, 6, 9, 6, 4, 2, 6, 4, 1, 7, 9, 1, 9, 5, 2, 3, 8, 5, 5, 9, 9, 3, 5, 7, 4, 1, 4, 1, 5, 2, 9, 5, 3, 3, 4, 7, 3, 5, 1, 3, 5, 2, 4, 8, 8, 2, 8, 2},
        {7, 8, 1, 7, 6, 3, 1, 2, 5, 9, 4, 9, 3, 5, 2, 8, 1, 5, 3, 1, 1, 1, 2, 7, 2, 2, 4, 8, 6, 7, 8, 5, 8, 4, 1, 4, 4, 4, 6, 1, 2, 5, 5, 7, 3, 6, 5, 9, 7, 9, 7, 7, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 3, 8, 8, 3, 4, 7, 7, 6, 5, 3, 8, 3, 5, 5, 1, 9, 1, 8, 2, 9, 4, 7, 2, 3, 3, 7, 2, 5, 3, 2, 9, 2, 1, 5, 9, 6, 7, 6, 7, 9, 4, 4, 3, 7, 3, 4, 1, 9, 4, 4, 3, 9, 5, 8, 1, 6, 2, 1, 8, 8, 3, 3, 2, 8, 4, 3, 7, 2, 6, 4, 8},
        {7, 5, 1, 7, 4, 8, 9, 4, 4, 4, 4, 4, 9, 1, 8, 3, 3, 2, 2, 1, 8, 8, 3, 2, 4, 2, 4, 6, 6, 1, 8, 9, 1, 8, 8, 4, 1, 7, 8, 2, 8, 6, 8, 7, 3, 4, 9, 7, 1, 9, 4, 1, 9, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 3, 3, 2, 4, 1, 7, 1, 2, 8, 1, 9, 5, 7, 7, 5, 3, 6, 3, 5, 6, 4, 5, 2, 6, 3, 3, 3, 7, 3, 1, 4, 5, 3, 3, 8, 4, 4, 9, 1, 2, 4, 5, 7, 7, 8, 3, 9, 1, 2, 3, 1, 6, 5, 7, 1, 2, 1, 7, 2, 9, 1, 9, 3, 7, 5, 1, 6, 5, 2, 4, 1},
        {7, 7, 2, 8, 9, 9, 9, 4, 4, 4, 4, 4, 5, 1, 8, 6, 9, 7, 2, 3, 4, 1, 6, 4, 7, 2, 3, 5, 1, 6, 1, 4, 6, 5, 9, 5, 8, 7, 3, 3, 8, 3, 6, 2, 9, 8, 2, 7, 2, 5, 3, 7, 1, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 2, 4, 2, 8, 5, 6, 5, 4, 6, 6, 8, 8, 7, 5, 4, 2, 5, 5, 1, 7, 6, 5, 3, 3, 1, 7, 5, 6, 4, 7, 2, 3, 5, 8, 5, 6, 2, 3, 1, 4, 2, 8, 5, 4, 4, 9, 6, 7, 2, 2, 6, 1, 9, 3, 2, 8, 1, 5, 6, 8, 3, 7, 8, 2, 7, 2, 1, 4, 9, 2},
        {2, 4, 3, 9, 9, 6, 2, 4, 4, 4, 4, 4, 2, 8, 6, 4, 8, 5, 8, 5, 9, 8, 4, 4, 3, 7, 1, 5, 5, 3, 1, 4, 3, 2, 7, 5, 3, 2, 9, 1, 6, 7, 1, 5, 4, 2, 5, 2, 1, 8, 1, 8, 9, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 5, 5, 7, 8, 8, 3, 7, 9, 6, 5, 2, 6, 9, 5, 3, 5, 6, 1, 3, 8, 6, 6, 4, 4, 9, 2, 2, 1, 7, 8, 7, 9, 1, 2, 4, 3, 9, 3, 8, 2, 5, 4, 7, 1, 4, 7, 9, 2, 6, 3, 1, 2, 8, 7, 3, 8, 5, 4, 4, 6, 9, 6, 9, 4, 9, 3, 1, 6, 9, 1, 7},
        {2, 4, 3, 8, 2, 3, 5, 4, 4, 4, 4, 4, 5, 7, 6, 6, 8, 5, 5, 7, 2, 5, 8, 1, 8, 3, 1, 1, 2, 5, 6, 6, 1, 7, 8, 8, 7, 2, 8, 8, 2, 6, 4, 9, 3, 6, 6, 6, 1, 3, 6, 7, 4, 9, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 2, 4, 9, 2, 1, 1, 6, 4, 2, 9, 7, 1, 7, 1, 7, 2, 8, 7, 2, 4, 7, 8, 5, 4, 4, 6, 9, 2, 6, 2, 5, 4, 3, 7, 9, 9, 4, 7, 6, 2, 3, 8, 6, 4, 4, 8, 3, 7, 1, 8, 1, 3, 6, 3, 4, 2, 2, 4, 2, 5, 2, 5, 7, 6, 8, 6, 4, 2, 9, 7, 5},
        {8, 7, 8, 5, 5, 9, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 6, 7, 5, 8, 6, 3, 8, 2, 1, 4, 3, 9, 5, 4, 6, 8, 9, 5, 5, 8, 2, 7, 1, 4, 9, 9, 5, 9, 9, 4, 5, 7, 5, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 5, 8, 8, 1, 3, 9, 1, 9, 4, 6, 6, 1, 5, 6, 9, 9, 7, 4, 5, 7, 6, 6, 4, 3, 2, 6, 5, 8, 2, 8, 9, 6, 3, 4, 8, 1, 1, 7, 5, 7, 1, 1, 5, 9, 5, 1, 3, 6, 5, 4, 7, 8, 6, 1, 2, 7, 7, 6, 7, 4, 9, 6, 4, 1, 1, 3, 5, 8},
        {4, 2, 8, 4, 1, 2, 5, 2, 1, 5, 9, 2, 1, 1, 8, 1, 4, 5, 7, 5, 1, 4, 1, 2, 8, 3, 2, 1, 3, 3, 8, 6, 2, 1, 1, 5, 9, 1, 2, 3, 2, 9, 1, 4, 4, 7, 9, 7, 5, 1, 6, 6, 6, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 4, 4, 9, 1, 8, 4, 6, 1, 2, 9, 4, 4, 9, 9, 5, 5, 9, 1, 8, 4, 7, 8, 2, 6, 2, 2, 1, 5, 7, 4, 5, 1, 5, 7, 9, 4, 5, 6, 9, 7, 8, 7, 1, 7, 3, 2, 4, 2, 3, 8, 3, 7, 6, 1, 7, 4, 4, 2, 3, 9, 1, 1, 4, 8, 5, 9, 6, 4, 6, 8, 6},
        {7, 9, 5, 3, 3, 7, 5, 2, 4, 7, 8, 6, 2, 5, 1, 4, 3, 1, 5, 5, 8, 8, 5, 2, 8, 3, 5, 3, 1, 6, 5, 3, 1, 7, 1, 4, 8, 3, 6, 8, 3, 5, 3, 5, 6, 8, 5, 3, 1, 1, 6, 4, 4, 9, 7, 7, 2, 3, 6, 8, 5, 7, 9, 1, 2, 7, 1, 2, 6, 3, 7, 8, 4, 6, 1, 1, 7, 8, 7, 9, 7, 1, 6, 4, 9, 3, 2, 7, 5, 5, 3, 2, 7, 2, 6, 5, 4, 1, 2, 6, 1, 2, 4, 2, 7, 7, 5, 8, 7, 3, 2, 4, 2, 8, 9, 3, 4, 4, 2, 9, 1, 9, 8, 2, 2, 3, 8, 7, 5, 9, 1, 1, 9, 2, 7, 5},
        {6, 2, 4, 2, 5, 6, 9, 2, 9, 5, 8, 8, 1, 2, 9, 4, 9, 3, 8, 6, 1, 8, 7, 5, 9, 2, 1, 5, 3, 7, 2, 6, 5, 4, 4, 2, 6, 2, 9, 4, 9, 4, 4, 6, 1, 2, 5, 2, 7, 1, 2, 1, 2, 7, 4, 4, 6, 8, 1, 1, 8, 7, 3, 3, 9, 5, 7, 5, 7, 8, 2, 8, 7, 6, 7, 5, 9, 6, 7, 1, 5, 9, 5, 5, 8, 5, 1, 6, 4, 8, 1, 1, 9, 7, 2, 6, 2, 3, 5, 8, 5, 6, 9, 8, 9, 6, 9, 2, 1, 2, 2, 3, 4, 1, 4, 5, 2, 9, 3, 8, 4, 2, 3, 3, 3, 8, 1, 8, 1, 7, 1, 9, 7, 8, 3, 5},
        {4, 6, 2, 2, 6, 3, 3, 7, 1, 3, 1, 1, 1, 3, 4, 1, 8, 5, 4, 7, 4, 3, 9, 8, 6, 6, 9, 7, 3, 8, 9, 6, 8, 4, 1, 8, 4, 9, 7, 8, 7, 9, 9, 5, 8, 3, 6, 8, 3, 1, 9, 4, 3, 4, 4, 8, 4, 1, 4, 4, 6, 4, 7, 9, 3, 3, 4, 7, 2, 4, 7, 1, 2, 9, 7, 5, 7, 1, 8, 2, 8, 4, 1, 1, 7, 8, 8, 8, 7, 5, 2, 2, 3, 9, 8, 5, 5, 1, 1, 8, 5, 6, 7, 4, 4, 8, 3, 9, 8, 5, 4, 6, 3, 6, 9, 8, 6, 3, 3, 8, 9, 2, 4, 2, 9, 1, 6, 7, 1, 7, 5, 3, 6, 4, 3, 9},
        {3, 1, 9, 3, 9, 9, 8, 3, 4, 7, 1, 2, 2, 1, 8, 3, 7, 1, 4, 9, 5, 3, 9, 6, 6, 5, 1, 7, 1, 5, 2, 7, 7, 6, 4, 9, 4, 8, 5, 2, 6, 4, 3, 7, 4, 1, 6, 2, 5, 1, 5, 5, 8, 6, 1, 3, 8, 5, 8, 3, 9, 3, 3, 9, 6, 5, 5, 3, 6, 8, 1, 8, 4, 4, 7, 7, 6, 7, 3, 9, 6, 1, 4, 6, 1, 3, 5, 9, 3, 8, 3, 2, 3, 7, 4, 2, 1, 6, 8, 2, 2, 9, 9, 1, 4, 7, 1, 9, 7, 2, 7, 9, 9, 3, 9, 1, 8, 7, 1, 9, 3, 8, 7, 9, 4, 3, 4, 4, 6, 5, 6, 1, 8, 1, 6, 8},
        {1, 6, 1, 6, 3, 9, 6, 5, 7, 7, 4, 8, 4, 8, 1, 3, 2, 8, 5, 7, 4, 1, 7, 2, 6, 5, 8, 3, 2, 5, 1, 1, 8, 4, 3, 7, 8, 5, 7, 1, 2, 1, 8, 6, 1, 7, 9, 3, 7, 7, 2, 5, 9, 4, 3, 4, 1, 1, 2, 8, 9, 4, 6, 9, 2, 6, 6, 5, 8, 1, 5, 7, 6, 1, 9, 9, 3, 9, 8, 4, 5, 7, 8, 9, 1, 1, 7, 5, 5, 7, 3, 1, 7, 9, 3, 1, 5, 7, 2, 5, 6, 5, 1, 3, 7, 4, 7, 9, 4, 7, 9, 5, 1, 7, 7, 2, 4, 6, 2, 1, 1, 5, 8, 4, 7, 2, 2, 3, 8, 2, 7, 3, 2, 3, 3, 8},
        {3, 2, 8, 4, 7, 5, 7, 3, 2, 6, 3, 6, 7, 9, 7, 2, 1, 1, 5, 6, 2, 7, 4, 9, 7, 4, 4, 1, 1, 9, 8, 9, 2, 6, 8, 2, 5, 8, 4, 6, 7, 3, 6, 2, 7, 6, 6, 6, 2, 7, 1, 5, 8, 8, 6, 7, 6, 4, 2, 3, 6, 5, 1, 7, 1, 9, 6, 4, 9, 3, 8, 7, 3, 8, 6, 9, 5, 5, 9, 7, 6, 7, 3, 2, 6, 4, 3, 1, 2, 2, 3, 5, 5, 1, 8, 3, 3, 7, 8, 4, 1, 1, 9, 8, 7, 6, 6, 7, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 1, 1, 6, 1, 6, 2, 5, 6, 8, 3, 9, 1, 6, 3, 5, 9, 5, 4},
        {1, 7, 1, 9, 8, 5, 4, 1, 3, 9, 4, 2, 2, 3, 3, 7, 4, 5, 9, 1, 4, 3, 8, 3, 8, 2, 8, 5, 3, 6, 3, 2, 6, 4, 8, 7, 5, 2, 2, 2, 4, 5, 9, 9, 4, 6, 5, 8, 1, 8, 3, 6, 4, 5, 9, 9, 1, 4, 5, 9, 8, 5, 6, 7, 5, 7, 2, 1, 8, 9, 6, 6, 9, 2, 7, 7, 3, 4, 9, 2, 6, 5, 6, 7, 9, 3, 5, 1, 3, 7, 9, 5, 4, 8, 8, 1, 8, 7, 1, 5, 2, 2, 2, 6, 8, 8, 8, 7, 7, 2, 2, 2, 2, 2, 2, 2, 1, 9, 7, 2, 4, 7, 7, 9, 1, 8, 1, 7, 1, 8, 3, 2, 1, 9, 7, 5},
        {3, 5, 4, 7, 8, 3, 9, 6, 1, 7, 3, 9, 9, 8, 1, 4, 4, 3, 9, 7, 6, 2, 9, 4, 3, 3, 6, 9, 8, 7, 7, 8, 4, 1, 4, 7, 7, 1, 1, 9, 4, 3, 8, 4, 8, 5, 1, 3, 1, 2, 4, 1, 7, 9, 7, 7, 4, 8, 9, 2, 8, 5, 3, 2, 3, 2, 6, 4, 1, 5, 1, 7, 4, 6, 2, 8, 3, 3, 8, 5, 1, 3, 3, 1, 9, 4, 1, 6, 1, 5, 9, 2, 9, 4, 4, 8, 4, 2, 8, 5, 3, 5, 1, 5, 6, 7, 5, 4, 8, 2, 2, 2, 2, 2, 2, 2, 2, 8, 1, 8, 2, 2, 3, 7, 8, 7, 9, 6, 1, 5, 1, 3, 8, 6, 9, 4},
        {5, 5, 9, 8, 8, 2, 9, 5, 2, 1, 7, 9, 3, 1, 1, 7, 1, 9, 7, 5, 6, 4, 5, 1, 3, 7, 1, 2, 5, 1, 3, 4, 4, 7, 4, 1, 2, 5, 2, 8, 1, 2, 4, 9, 5, 8, 1, 4, 5, 4, 5, 4, 5, 6, 4, 7, 8, 4, 9, 3, 4, 6, 9, 8, 5, 9, 8, 7, 8, 3, 2, 9, 2, 2, 1, 8, 2, 6, 8, 7, 6, 2, 6, 1, 5, 3, 8, 7, 9, 1, 3, 2, 3, 8, 2, 1, 9, 9, 6, 4, 9, 9, 8, 3, 1, 3, 1, 4, 5, 2, 2, 2, 2, 2, 2, 2, 1, 3, 8, 3, 7, 3, 2, 6, 8, 3, 2, 6, 1, 5, 3, 9, 4, 6, 6, 2},
        {3, 8, 4, 1, 9, 7, 2, 9, 4, 6, 8, 5, 9, 7, 3, 3, 4, 6, 8, 4, 7, 1, 8, 3, 3, 8, 8, 9, 2, 8, 9, 7, 9, 9, 1, 1, 8, 3, 8, 2, 8, 8, 5, 6, 7, 9, 3, 1, 4, 1, 3, 8, 4, 9, 3, 7, 5, 1, 4, 3, 4, 7, 3, 4, 8, 6, 4, 2, 8, 2, 6, 6, 9, 1, 3, 4, 5, 6, 7, 3, 7, 4, 8, 8, 6, 8, 5, 1, 5, 7, 1, 4, 6, 4, 4, 8, 6, 3, 9, 3, 6, 8, 9, 4, 6, 9, 7, 1, 7, 2, 2, 2, 2, 2, 2, 2, 3, 1, 4, 5, 9, 3, 5, 7, 4, 9, 4, 5, 8, 7, 6, 8, 1, 7, 9, 4},
        {1, 1, 9, 8, 6, 2, 2, 9, 8, 7, 2, 5, 8, 3, 8, 5, 6, 2, 8, 5, 6, 7, 8, 5, 1, 7, 2, 2, 6, 5, 6, 8, 9, 3, 2, 4, 6, 1, 2, 8, 5, 8, 1, 3, 9, 7, 7, 8, 6, 7, 2, 2, 2, 6, 9, 7, 4, 5, 2, 9, 5, 9, 5, 1, 8, 4, 5, 5, 5, 8, 9, 2, 3, 2, 8, 9, 5, 7, 1, 8, 4, 4, 8, 5, 6, 6, 8, 5, 7, 8, 7, 9, 5, 7, 5, 1, 3, 5, 6, 5, 4, 9, 8, 3, 6, 4, 3, 1, 8, 2, 2, 2, 2, 2, 2, 2, 1, 6, 1, 7, 2, 4, 1, 3, 7, 1, 7, 1, 7, 1, 1, 7, 6, 6, 4, 6},
        {2, 1, 5, 1, 4, 2, 1, 8, 2, 2, 5, 9, 6, 4, 7, 3, 5, 2, 5, 5, 2, 3, 8, 8, 8, 4, 4, 3, 3, 8, 3, 4, 2, 1, 9, 1, 7, 8, 8, 9, 4, 6, 6, 1, 2, 6, 8, 2, 7, 1, 7, 2, 7, 8, 4, 6, 9, 9, 1, 3, 2, 8, 2, 3, 4, 1, 3, 4, 6, 5, 8, 3, 3, 7, 5, 3, 8, 6, 5, 6, 9, 1, 7, 2, 6, 5, 7, 9, 9, 1, 1, 2, 9, 5, 4, 5, 8, 8, 1, 4, 8, 5, 4, 4, 2, 6, 2, 6, 9, 2, 2, 2, 2, 2, 2, 2, 8, 6, 5, 5, 8, 5, 3, 5, 5, 2, 2, 7, 1, 5, 8, 1, 9, 6, 4, 3},
        {9, 9, 3, 5, 9, 2, 5, 5, 4, 7, 8, 8, 4, 5, 8, 2, 7, 1, 6, 9, 6, 1, 1, 2, 1, 8, 5, 6, 1, 8, 1, 7, 1, 6, 7, 5, 3, 7, 4, 9, 6, 4, 8, 6, 1, 6, 6, 2, 7, 5, 3, 3, 3, 2, 5, 8, 6, 6, 4, 9, 3, 5, 6, 1, 7, 6, 2, 5, 3, 4, 3, 6, 9, 6, 8, 4, 5, 5, 1, 4, 1, 2, 9, 8, 5, 2, 4, 9, 6, 4, 8, 7, 6, 6, 8, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 6, 5, 9, 3, 9, 2, 7, 4, 8, 1, 6, 9, 6, 6, 4, 5, 9, 8, 8, 9, 1, 1, 3, 3, 7, 3, 1},
        {9, 5, 4, 7, 5, 2, 4, 7, 8, 1, 8, 9, 9, 4, 1, 4, 3, 4, 8, 8, 4, 2, 3, 4, 2, 8, 5, 7, 4, 8, 2, 9, 6, 7, 7, 4, 6, 1, 9, 9, 1, 5, 3, 2, 6, 1, 6, 2, 3, 5, 2, 8, 4, 2, 5, 4, 9, 4, 9, 2, 5, 8, 2, 3, 8, 8, 5, 3, 5, 3, 4, 3, 4, 6, 6, 4, 3, 7, 7, 7, 1, 8, 8, 2, 3, 5, 4, 9, 1, 7, 4, 8, 3, 9, 6, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 6, 5, 9, 1, 3, 2, 5, 6, 1, 6, 9, 7, 7, 2, 5, 6, 1, 7, 2, 7, 7, 5, 7, 1, 9, 7, 7, 6},
        {6, 8, 9, 1, 8, 2, 8, 4, 7, 2, 1, 6, 5, 9, 1, 9, 6, 3, 5, 6, 7, 3, 5, 9, 8, 2, 4, 3, 1, 7, 4, 9, 7, 6, 4, 7, 3, 7, 2, 1, 9, 1, 3, 4, 3, 7, 4, 7, 4, 6, 7, 5, 2, 7, 7, 1, 6, 3, 6, 6, 2, 7, 6, 2, 4, 8, 9, 8, 9, 5, 6, 4, 7, 7, 4, 8, 2, 8, 8, 8, 9, 8, 4, 7, 5, 6, 4, 2, 9, 8, 3, 9, 9, 6, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 8, 5, 4, 8, 5, 5, 8, 9, 2, 9, 6, 3, 2, 5, 5, 3, 3, 9, 6, 5, 8, 7, 5, 6, 3, 6, 4},
        {3, 3, 9, 9, 9, 3, 2, 7, 4, 3, 4, 5, 2, 2, 7, 9, 4, 1, 9, 1, 3, 6, 2, 5, 9, 8, 6, 3, 2, 6, 2, 1, 2, 3, 4, 7, 1, 4, 4, 4, 4, 9, 6, 7, 2, 7, 8, 2, 6, 8, 5, 8, 2, 7, 4, 4, 1, 4, 3, 8, 3, 3, 1, 4, 9, 5, 9, 1, 7, 7, 4, 8, 6, 3, 2, 8, 5, 6, 5, 7, 8, 5, 8, 4, 7, 7, 3, 9, 6, 6, 7, 6, 4, 3, 8, 2, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 2, 5, 7, 9, 2, 5, 3, 1, 3, 9, 8, 8, 8, 2, 4, 6, 8, 2, 3, 2, 1, 7, 1, 9, 1, 9, 8, 6},
        {5, 9, 5, 9, 9, 2, 4, 6, 4, 9, 7, 9, 2, 8, 9, 1, 3, 7, 9, 8, 9, 3, 3, 2, 7, 8, 5, 3, 5, 8, 2, 2, 8, 6, 6, 5, 5, 1, 6, 3, 4, 8, 7, 4, 7, 9, 4, 4, 2, 3, 9, 1, 7, 2, 2, 4, 9, 5, 3, 2, 9, 1, 2, 5, 8, 4, 8, 5, 5, 2, 8, 5, 4, 9, 7, 3, 1, 7, 5, 5, 3, 8, 3, 8, 8, 8, 6, 5, 9, 5, 2, 4, 3, 7, 5, 1, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 3, 8, 6, 9, 4, 6, 9, 7, 9, 6, 1, 3, 8, 3, 3, 8, 2, 7, 1, 5, 7, 6, 9, 9, 9, 2, 6},
        {4, 1, 6, 9, 4, 4, 1, 9, 9, 2, 7, 1, 4, 5, 5, 9, 9, 5, 3, 4, 1, 5, 3, 1, 3, 4, 6, 6, 4, 4, 1, 8, 1, 1, 9, 4, 6, 8, 4, 7, 3, 3, 2, 6, 3, 8, 3, 3, 4, 9, 5, 3, 1, 8, 3, 4, 4, 6, 5, 3, 9, 4, 6, 9, 9, 5, 8, 8, 1, 5, 6, 7, 4, 8, 5, 5, 8, 4, 6, 8, 3, 8, 2, 9, 9, 3, 7, 8, 7, 3, 1, 4, 6, 4, 1, 3, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 1, 8, 5, 4, 3, 2, 1, 1, 5, 7, 3, 3, 3, 8, 9, 1, 6, 8, 3, 1, 6, 9, 7, 4, 6, 8, 4, 7},
        {2, 6, 8, 5, 8, 5, 2, 4, 4, 4, 2, 1, 3, 3, 9, 9, 3, 9, 1, 2, 3, 3, 7, 8, 3, 8, 7, 2, 1, 1, 6, 8, 7, 9, 8, 6, 8, 9, 2, 9, 8, 1, 1, 3, 5, 4, 5, 6, 8, 2, 8, 4, 8, 2, 9, 2, 2, 8, 7, 6, 7, 7, 3, 5, 6, 7, 4, 6, 8, 3, 6, 7, 4, 3, 7, 1, 5, 6, 9, 3, 4, 3, 9, 6, 9, 9, 8, 9, 7, 9, 4, 9, 2, 7, 9, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 4, 8, 3, 8, 5, 2, 7, 3, 7, 4, 7, 5, 5, 1, 4, 2, 2, 6, 9, 2, 7, 9, 9, 9, 8, 4, 4},
        {1, 8, 3, 4, 5, 4, 7, 4, 5, 7, 2, 5, 7, 5, 4, 9, 8, 3, 6, 7, 5, 1, 7, 6, 3, 6, 2, 2, 6, 8, 5, 5, 7, 5, 5, 3, 3, 9, 2, 5, 9, 7, 5, 6, 6, 7, 7, 2, 9, 2, 9, 7, 5, 8, 3, 8, 1, 9, 2, 9, 6, 7, 9, 1, 8, 5, 5, 1, 5, 1, 4, 2, 9, 4, 7, 7, 3, 1, 1, 3, 6, 4, 3, 1, 9, 5, 7, 3, 6, 8, 6, 2, 2, 4, 9, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 6, 9, 5, 6, 7, 4, 6, 6, 5, 9, 1, 4, 5, 8, 2, 2, 1, 9, 3, 8, 9, 7, 2, 3, 4, 4},
        {1, 4, 4, 1, 8, 8, 4, 5, 2, 2, 7, 1, 8, 8, 2, 4, 5, 4, 5, 9, 7, 3, 1, 7, 3, 5, 6, 4, 8, 8, 1, 5, 1, 6, 9, 1, 3, 3, 8, 2, 3, 4, 8, 6, 5, 3, 7, 7, 1, 7, 2, 8, 3, 1, 6, 7, 5, 5, 1, 9, 5, 4, 5, 6, 6, 9, 3, 6, 7, 7, 5, 9, 2, 3, 8, 3, 1, 9, 9, 2, 5, 6, 8, 3, 3, 4, 7, 7, 2, 8, 1, 2, 6, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 1, 3, 2, 5, 5, 3, 9, 6, 9, 3, 9, 7, 7, 6, 4, 8, 9, 9, 2, 4, 3, 3, 9, 4, 3, 3, 7, 2},
        {4, 5, 3, 2, 6, 2, 9, 3, 3, 8, 7, 2, 9, 2, 2, 2, 9, 8, 3, 2, 6, 9, 8, 8, 6, 6, 7, 3, 8, 4, 8, 5, 3, 8, 7, 5, 3, 6, 5, 8, 6, 3, 5, 4, 7, 1, 7, 1, 9, 1, 6, 2, 7, 2, 3, 2, 3, 7, 7, 9, 5, 2, 5, 5, 7, 3, 8, 2, 2, 5, 4, 6, 6, 7, 2, 9, 4, 5, 9, 6, 3, 7, 9, 6, 1, 7, 7, 9, 8, 3, 1, 9, 9, 1, 4, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 6, 7, 8, 5, 6, 8, 1, 2, 1, 2, 6, 8, 5, 1, 1, 1, 8, 4, 5, 2, 9, 7, 1, 3, 8, 5, 6, 3},
        {7, 1, 2, 9, 9, 4, 7, 6, 2, 1, 1, 2, 4, 7, 1, 5, 2, 2, 2, 8, 1, 5, 8, 5, 4, 2, 6, 6, 6, 3, 1, 1, 4, 3, 1, 3, 2, 6, 2, 7, 1, 7, 6, 4, 4, 4, 4, 7, 6, 1, 3, 1, 5, 7, 8, 1, 8, 4, 3, 1, 7, 6, 6, 8, 6, 5, 4, 7, 4, 8, 9, 1, 4, 2, 7, 5, 2, 3, 9, 8, 3, 6, 7, 9, 1, 8, 8, 3, 2, 2, 4, 1, 9, 7, 2, 8, 1, 7, 7, 9, 4, 5, 2, 5, 6, 9, 2, 6, 7, 2, 8, 2, 1, 8, 2, 5, 3, 5, 4, 3, 8, 9, 8, 8, 3, 1, 9, 8, 2, 9, 9, 3, 3, 8, 1, 9},
        {8, 8, 6, 8, 8, 5, 7, 2, 7, 6, 6, 3, 6, 9, 2, 8, 4, 9, 8, 8, 2, 1, 4, 9, 3, 4, 9, 5, 5, 8, 2, 5, 5, 2, 4, 1, 5, 3, 4, 2, 2, 4, 3, 3, 1, 4, 6, 5, 9, 8, 7, 7, 3, 6, 9, 4, 7, 9, 5, 4, 3, 8, 3, 8, 5, 5, 9, 8, 6, 6, 6, 6, 2, 5, 1, 2, 7, 9, 8, 8, 5, 3, 7, 3, 9, 8, 3, 8, 5, 9, 8, 4, 5, 4, 4, 9, 3, 9, 9, 2, 7, 5, 3, 6, 7, 1, 7, 1, 4, 9, 7, 9, 6, 7, 5, 1, 9, 3, 3, 1, 2, 6, 9, 3, 4, 6, 2, 5, 7, 6, 1, 9, 3, 1, 8, 7},
        {1, 4, 1, 9, 5, 9, 5, 3, 7, 8, 5, 4, 4, 2, 3, 1, 7, 3, 4, 9, 7, 4, 8, 6, 9, 2, 8, 4, 3, 3, 7, 4, 7, 6, 1, 4, 7, 3, 2, 3, 9, 5, 1, 5, 4, 3, 6, 7, 3, 9, 8, 5, 5, 6, 1, 7, 8, 2, 7, 3, 1, 9, 2, 2, 7, 1, 6, 8, 4, 4, 4, 4, 7, 6, 9, 6, 7, 6, 7, 2, 1, 4, 6, 6, 9, 9, 4, 5, 6, 6, 6, 2, 9, 9, 8, 9, 2, 5, 5, 8, 7, 4, 4, 1, 9, 7, 2, 4, 3, 3, 1, 8, 1, 5, 8, 5, 9, 6, 7, 6, 6, 8, 1, 9, 2, 9, 1, 2, 4, 6, 1, 2, 2, 3, 5, 2},
        {8, 8, 3, 8, 7, 8, 6, 2, 4, 7, 1, 2, 4, 6, 5, 2, 3, 5, 4, 1, 2, 2, 2, 4, 6, 7, 7, 6, 6, 5, 5, 6, 7, 5, 5, 9, 7, 3, 7, 9, 6, 9, 1, 3, 4, 7, 4, 4, 9, 9, 3, 9, 7, 8, 6, 3, 3, 9, 7, 6, 3, 7, 1, 3, 7, 3, 1, 1, 8, 4, 4, 4, 2, 4, 6, 3, 5, 6, 8, 5, 4, 2, 5, 4, 4, 8, 5, 2, 4, 5, 8, 1, 9, 9, 7, 4, 7, 3, 4, 6, 4, 8, 5, 5, 2, 4, 4, 9, 4, 8, 5, 3, 4, 8, 7, 9, 5, 5, 3, 6, 9, 3, 5, 7, 5, 5, 1, 4, 9, 2, 5, 6, 9, 4, 7, 3},
        {5, 2, 8, 7, 2, 8, 5, 5, 6, 7, 1, 4, 2, 7, 4, 6, 4, 5, 1, 4, 8, 7, 8, 2, 4, 9, 6, 2, 1, 5, 8, 6, 4, 7, 2, 7, 8, 6, 5, 9, 5, 5, 3, 9, 2, 5, 1, 6, 5, 8, 6, 3, 3, 3, 6, 4, 9, 9, 8, 5, 3, 7, 1, 2, 5, 2, 6, 8, 7, 4, 4, 4, 3, 3, 9, 2, 2, 2, 6, 3, 8, 9, 9, 2, 3, 4, 6, 9, 1, 1, 3, 7, 6, 7, 1, 3, 5, 4, 5, 1, 8, 6, 7, 1, 2, 8, 6, 3, 9, 2, 3, 5, 9, 8, 8, 6, 5, 6, 5, 3, 8, 4, 2, 9, 5, 5, 6, 4, 9, 7, 8, 6, 9, 6, 1, 5},
        {2, 6, 3, 2, 9, 6, 3, 5, 3, 8, 9, 1, 3, 2, 9, 8, 1, 5, 2, 5, 6, 9, 2, 6, 6, 7, 2, 1, 8, 4, 3, 8, 1, 7, 5, 7, 6, 3, 2, 6, 5, 6, 3, 2, 8, 8, 8, 6, 5, 4, 6, 4, 5, 5, 8, 6, 2, 4, 7, 4, 6, 2, 5, 9, 2, 8, 3, 4, 6, 8, 7, 3, 7, 4, 2, 4, 3, 3, 1, 9, 2, 6, 2, 5, 5, 7, 4, 3, 4, 7, 3, 6, 1, 4, 5, 2, 5, 4, 7, 7, 2, 1, 4, 6, 3, 5, 4, 6, 8, 8, 6, 9, 2, 7, 7, 5, 8, 6, 8, 7, 7, 6, 7, 5, 9, 3, 3, 5, 5, 4, 5, 2, 4, 4, 4, 4}
    };
    calculate((unsigned int*) altitude_map_14, 79, 136);
    printf("\n");


    printf("TEST: altitude_map_15\n");
    printf("EXPECTING: contains a 61x61 grid of 5s at (0 , 47)\n");
    unsigned int altitude_map_15[85][145] = {
        {9, 7, 5, 6, 1, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 1, 6, 4, 4, 5, 4, 4, 8, 5, 3, 2, 1, 4, 7, 9, 7, 9, 4, 9, 2, 6, 1, 2, 5, 6, 4, 5, 5, 4},
        {4, 1, 7, 8, 6, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 5, 9, 9, 5, 4, 6, 2, 2},
        {9, 2, 9, 6, 7, 6, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 5, 9, 5, 6, 8, 4, 1, 1},
        {7, 5, 5, 2, 8, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 4, 3, 9, 7, 3, 4, 7},
        {6, 1, 5, 9, 8, 9, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 1, 3, 4, 2, 3, 3, 9},
        {9, 9, 3, 2, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 8, 7, 9, 5, 1, 5, 9},
        {4, 8, 9, 4, 8, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 9, 3, 3, 8, 3, 2},
        {6, 7, 7, 9, 3, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 9, 7, 8, 1, 2, 6},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 8, 8, 2, 8, 9},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 8, 7, 2, 1, 6, 9},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 4, 1, 7, 5, 1},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 8, 4, 7, 3, 5, 7},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 6, 5, 9, 5, 4},
        {3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 6, 9, 5, 9, 1},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 1, 7, 3, 9, 8},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 8, 4, 5, 5, 3},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 5, 4, 3, 1, 3},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 2, 2, 6, 9, 2},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 4, 3, 5, 4, 8},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 5},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 2},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 2},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 7, 1},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 9},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 3, 5},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 7},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 7, 8},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 9, 1},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 8, 8},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 6, 1},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 1, 9},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 8, 8},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 6},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 4, 4},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 3, 6},
        {3, 3, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 6, 5},
        {5, 9, 6, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 8, 6},
        {5, 4, 2, 6, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 6},
        {8, 6, 8, 9, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 4},
        {3, 4, 4, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 8, 3},
        {6, 7, 6, 9, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 1, 9},
        {5, 8, 1, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 6, 2},
        {8, 1, 3, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 1},
        {7, 8, 6, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 5},
        {7, 4, 6, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 9, 1},
        {8, 4, 7, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 5},
        {3, 2, 1, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 5, 1},
        {1, 8, 7, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 9, 4},
        {5, 5, 2, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 2, 8},
        {7, 3, 5, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 6, 5},
        {8, 9, 7, 5, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 7, 7, 7, 9, 4},
        {6, 5, 9, 6, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 7, 7, 7, 1, 4},
        {3, 5, 2, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 7, 7, 7, 7, 9},
        {5, 1, 9, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 4, 9},
        {8, 7, 8, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 4, 2},
        {1, 7, 3, 5, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4},
        {3, 2, 1, 5, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 3},
        {1, 6, 9, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 5},
        {3, 7, 4, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 5, 1},
        {5, 4, 3, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7},
        {4, 6, 7, 5, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4},
        {3, 1, 7, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 9, 3},
        {1, 4, 9, 6, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 8},
        {3, 6, 8, 4, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 6, 9},
        {6, 6, 4, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7},
        {7, 8, 8, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7},
        {3, 4, 2, 6, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 1},
        {4, 8, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 7, 6},
        {4, 7, 1, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 3},
        {6, 3, 9, 3, 7, 9, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 9, 7, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 1, 7},
        {8, 3, 9, 6, 7, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 7, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 5},
        {3, 7, 7, 7, 1, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 1, 6, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 5, 6},
        {6, 1, 8, 2, 6, 9, 9, 2, 1, 5, 9, 6, 9, 5, 8, 4, 8, 3, 5, 3, 3, 6, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 2, 4},
        {4, 8, 5, 2, 1, 8, 1, 6, 8, 4, 7, 3, 5, 6, 6, 6, 7, 5, 2, 6, 7, 9, 5, 2, 8, 7, 9, 3, 9, 6, 6, 1, 1, 5, 3, 7, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 6, 2},
        {4, 2, 4, 1, 6, 5, 3, 9, 3, 7, 5, 6, 2, 4, 6, 1, 5, 4, 1, 9, 2, 4, 8, 4, 5, 2, 4, 4, 2, 3, 6, 3, 2, 7, 3, 6, 6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 3, 2, 5, 3},
        {2, 8, 9, 1, 4, 4, 2, 3, 6, 8, 2, 7, 4, 1, 3, 1, 8, 5, 3, 2, 7, 9, 2, 8, 6, 7, 1, 8, 3, 6, 2, 3, 6, 4, 4, 8, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 8, 8, 2, 6, 6},
        {1, 8, 3, 4, 7, 9, 4, 1, 6, 7, 4, 3, 2, 7, 3, 5, 9, 6, 3, 4, 8, 3, 7, 5, 7, 3, 4, 2, 7, 5, 7, 6, 3, 6, 2, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 8, 5, 1, 5},
        {4, 1, 3, 9, 8, 5, 5, 2, 3, 9, 4, 3, 8, 1, 2, 5, 9, 5, 9, 6, 9, 7, 5, 4, 5, 7, 5, 4, 9, 1, 8, 2, 2, 5, 5, 8, 6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 7, 2, 6, 8, 6},
        {7, 2, 4, 7, 2, 6, 3, 1, 2, 9, 8, 3, 9, 1, 6, 7, 2, 8, 1, 9, 5, 3, 6, 2, 8, 1, 3, 7, 9, 5, 8, 6, 5, 7, 6, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 7, 3, 1, 3, 9, 4},
        {5, 3, 5, 4, 4, 5, 8, 1, 6, 6, 4, 4, 9, 2, 6, 1, 5, 7, 4, 1, 1, 8, 1, 7, 2, 7, 8, 6, 4, 5, 9, 3, 3, 8, 6, 2, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 8, 9, 9, 8, 2},
        {2, 4, 3, 5, 2, 9, 8, 7, 6, 7, 2, 6, 8, 5, 7, 7, 8, 4, 3, 7, 2, 9, 5, 3, 2, 6, 7, 7, 2, 5, 2, 3, 8, 2, 7, 4, 7, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 6, 4, 2, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 9, 3, 8, 2, 1, 9},
        {8, 5, 9, 9, 9, 6, 5, 6, 2, 9, 5, 7, 3, 8, 9, 1, 8, 9, 5, 9, 6, 5, 3, 5, 5, 7, 6, 9, 1, 4, 1, 9, 6, 7, 9, 1, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 7, 3, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 1, 4, 2, 8, 1, 8},
        {1, 4, 7, 5, 8, 2, 1, 1, 6, 9, 2, 6, 9, 3, 2, 7, 8, 1, 8, 2, 9, 3, 8, 6, 5, 4, 8, 7, 1, 9, 4, 7, 8, 1, 8, 3, 9, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 5, 3, 3, 1, 7, 1, 6, 9, 8, 9, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 5, 2, 1, 3, 1, 8, 7, 2, 8, 4, 7, 4, 2, 5, 6, 3, 9, 4, 8, 1, 1},
        {9, 8, 7, 2, 5, 4, 2, 4, 9, 9, 4, 3, 7, 5, 7, 1, 5, 4, 5, 4, 1, 4, 9, 3, 6, 2, 3, 6, 1, 5, 4, 2, 5, 1, 8, 5, 4, 9, 3, 8, 7, 8, 8, 2, 9, 7, 3, 7, 8, 5, 9, 8, 7, 8, 2, 2, 9, 9, 7, 9, 2, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 9, 3, 2, 3, 2, 6, 4, 9, 2, 3, 4, 3, 4, 5, 9, 2, 5, 3, 1, 4, 9, 8, 6, 3, 1, 1, 1, 9, 7, 5, 2, 6},
        {1, 1, 5, 1, 9, 3, 2, 1, 2, 1, 8, 6, 1, 9, 2, 5, 4, 6, 2, 9, 2, 5, 7, 6, 5, 6, 6, 5, 6, 6, 3, 1, 8, 8, 2, 1, 1, 5, 8, 6, 8, 7, 5, 1, 3, 1, 2, 3, 5, 7, 1, 5, 5, 2, 3, 1, 4, 9, 8, 8, 6, 2, 7, 8, 4, 3, 7, 6, 7, 1, 3, 7, 4, 2, 9, 4, 6, 7, 9, 7, 5, 2, 7, 4, 9, 2, 8, 1, 1, 7, 2, 5, 8, 8, 1, 3, 2, 6, 5, 9, 7, 3, 1, 2, 3, 9, 6, 3, 5, 2, 4, 3, 8, 5, 1, 2, 4, 5, 8, 3, 2, 7, 1, 8, 4, 9, 8, 7, 6, 7, 3, 6, 7, 9, 7, 3, 9, 8, 9, 7, 7, 8, 4, 6, 9}
    };
    calculate((unsigned int*) altitude_map_15, 85, 145);
    printf("\n");


    printf("TEST: altitude_map_16\n");
    printf("EXPECTING: contains a 69x69 grid of 3s at (11 , 30)\n");
    unsigned int altitude_map_16[86][153] = {
        {4, 5, 4, 4, 1, 7, 7, 4, 9, 9, 4, 1, 3, 4, 3, 7, 6, 9, 6, 2, 5, 9, 3, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 9, 8, 6, 1, 8, 1, 2, 5, 2, 2, 7, 7, 4, 1, 1, 6, 9, 3, 8, 6, 4, 8, 8, 4, 5, 2, 6, 5, 7, 6, 2, 3, 1, 4, 6, 6, 2, 1, 5, 1, 6, 7, 5, 6, 2, 5, 4, 6, 9, 2, 1, 5, 8, 6, 4, 2, 4, 7, 6, 6, 1, 2, 7, 6, 6, 4, 2, 9, 7, 8, 4, 9, 8, 4, 6, 8, 6, 2, 8, 9, 2, 3, 6, 1, 7, 4, 7, 3, 2, 1, 6, 9, 4, 5, 2, 7, 4, 5, 1, 9, 2, 7, 8, 2, 8, 1, 3, 1},
        {2, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 9, 4, 3, 9, 8, 6, 5, 5, 1, 7, 8, 8, 7, 8, 1, 8, 4, 1, 8, 3, 3, 5, 5, 3, 2, 4, 4, 3, 5, 7, 3, 1, 7, 8, 2, 5, 1, 5, 1, 9, 1, 1, 2, 1, 5, 8, 7, 4, 1, 3, 1, 1, 1, 5, 7, 7, 7, 4, 5, 9, 6, 2, 9, 6, 5, 7, 6, 5, 8, 7, 8, 2, 5, 8, 1, 2, 3, 7, 5, 1, 8, 5, 9, 7, 9, 2},
        {7, 5, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 6, 4, 7, 6, 8, 4, 6, 5, 2, 5, 2, 1, 2, 8, 7, 2, 3, 3, 8, 8, 4, 6, 5, 5, 6, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 4, 2, 8, 7, 7, 9, 3, 6, 2, 7, 8, 5, 9, 3, 1, 1, 2, 3, 7, 9, 7, 2, 5, 9, 5, 6, 6, 5, 6, 5, 1, 3, 9, 6, 3, 8, 8, 3, 8, 5, 9, 7, 6, 6, 4, 2},
        {8, 5, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, 4, 3, 6, 6, 3, 5, 4, 9, 6, 2, 9, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 2, 1, 5, 6, 9, 1, 5, 6, 2, 1, 2, 6, 2, 1, 7, 1, 7, 2, 4, 1, 2, 2, 2, 9, 6, 4, 6, 5, 3, 6, 2, 1, 2, 8, 2, 9, 8, 1, 3, 8, 2, 3, 6, 1, 8, 8},
        {9, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 2, 8, 3, 5, 8, 1, 7, 3, 4, 5, 9, 3, 4, 8, 7, 1, 2, 2, 5, 4, 8, 6, 1, 1, 2, 1, 8, 9, 8, 8, 1, 6, 5, 6, 3, 2, 7, 5, 4, 7},
        {5, 8, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 2, 5, 3, 4, 2, 9, 4, 6, 2, 6, 8, 4, 5, 1, 1, 4, 4, 8, 9, 5, 1, 9, 7, 5, 4, 9, 2, 1, 3, 9, 4, 6, 5, 3, 6, 7, 4, 1, 2},
        {1, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 3, 6, 2, 5, 6, 9, 7, 8, 2, 7, 1, 9, 6, 7, 4, 9, 3, 1, 9, 6, 3, 3, 7, 9, 9, 2, 5, 2, 2, 4, 6, 6, 8, 5, 9, 6, 9, 1, 6, 1, 9},
        {1, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 4, 5, 4, 1, 8, 2, 4, 4, 9, 5, 1, 7, 2, 7, 6, 9, 8, 2, 7, 5, 6, 5, 4, 2, 6, 5, 4, 8, 9, 1, 9, 4, 4, 2, 9, 3, 7, 5, 1, 5, 2},
        {9, 5, 3, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 5, 6, 9, 2, 5, 2, 6, 7, 4, 9, 3, 6, 3, 9, 4, 6, 2, 3, 3, 1, 3, 2, 6, 2, 2, 5, 8, 9, 9, 5, 8, 1, 1, 8, 1, 2, 6, 2, 6, 9},
        {2, 9, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 5, 4, 5, 8, 6, 7, 3, 7, 4, 8, 6, 5, 9, 9, 4, 7, 9, 3, 1, 9, 2, 8, 9, 7, 3, 2, 8, 4, 2, 1, 9, 5, 4, 4, 3, 1, 1, 4, 3, 1, 1},
        {8, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 2, 7, 6, 4, 4, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7},
        {7, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 1, 8, 6, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {2, 7, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 6, 6, 2, 3, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4},
        {4, 3, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 8, 7, 2, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {9, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {8, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9},
        {4, 8, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5},
        {4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8},
        {9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {6, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6},
        {1, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5},
        {2, 2, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9},
        {8, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {1, 9, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9},
        {9, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4},
        {8, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3},
        {6, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1},
        {3, 1, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6},
        {6, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4},
        {1, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8},
        {6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7},
        {6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 5, 9, 9, 8, 9, 6, 1, 2, 8, 5},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 3, 1, 2, 7, 6, 2, 8, 8, 4, 4},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 1, 5, 4, 6, 5, 4, 6, 3, 1, 2},
        {5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 9, 1, 7, 6, 7, 9, 2, 8, 9, 3},
        {1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 1, 9, 5, 3, 4, 6, 7, 3, 1, 7},
        {8, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 8, 8, 6, 5, 4, 7, 1, 1, 3, 5},
        {4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 6, 9, 8, 9, 6, 9, 6, 3, 2, 1},
        {2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 8, 8, 1, 9, 7, 6, 9, 8, 1},
        {1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 4, 8, 7, 4, 6, 7, 4, 3, 7, 2},
        {6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 5, 5, 7, 1, 6, 4, 6, 9, 5, 5, 4},
        {4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 4, 1, 3, 6, 9, 3, 6, 5, 1, 3},
        {2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 3, 8, 7, 3, 9, 7, 3, 5, 3, 5, 2},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 9, 2, 6, 3, 7, 4, 5, 8, 9, 8, 2},
        {7, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 5, 7, 6, 1, 9, 5, 2, 6, 5, 1, 9},
        {7, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 1, 9, 2, 3, 5, 3, 8, 2, 8, 2},
        {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 4, 2, 3, 1, 9, 8, 5, 6, 7, 9},
        {1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 7, 3, 4, 2, 5, 9, 3, 1, 8, 1},
        {8, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 3, 4, 1, 4, 5, 6, 4, 8, 5, 9},
        {5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 4, 8, 4, 7, 9, 2, 2, 8, 2, 4},
        {5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 9, 6, 8, 7, 2, 8, 4, 1, 3, 7, 9},
        {2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 1, 5, 5, 5, 5, 5, 2, 4, 3, 9, 4},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 8, 8, 7, 6, 5, 7, 3, 6, 5, 5, 5},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 8, 4, 2, 7, 3, 6, 3, 9, 1, 8},
        {4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 4, 1, 5, 6, 8, 1, 4, 7, 9, 1, 1},
        {6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 8, 2, 5, 8, 7, 4, 4, 6, 9},
        {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 9, 2, 1, 9, 1, 8, 6, 7, 8, 2, 8},
        {5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 4, 7, 7, 4, 2, 5, 5, 4, 2},
        {8, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 1, 7, 8, 1, 2, 9, 6, 5, 8, 5, 1},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 7, 7, 5, 9, 1, 7, 9, 7, 7, 9, 1},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 9, 9, 7, 3, 3, 9},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 3, 2, 5, 1, 8, 8, 3, 3},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 8, 4, 1, 2, 2, 5, 8, 4},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 7, 9, 1, 3, 5, 3, 6, 9},
        {9, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 4, 3, 8, 7, 3, 2, 6, 3},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 8, 9, 5, 7, 6, 1, 2, 7},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 8, 8, 3, 6, 1, 6, 7},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 3, 5, 7, 5, 7, 9, 7, 7},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 9, 5, 3, 6, 3, 1, 4, 5},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 9, 8, 9, 3, 9, 1, 9, 3, 2, 8},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 9, 3, 9, 7, 8, 9, 4, 3, 6},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 9, 5, 6, 9, 8, 5, 3, 8, 9, 4},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 9, 9, 5, 9, 6, 3, 1, 7, 3, 7, 8, 4, 4, 9, 5, 2, 3, 8, 8, 2, 9, 4, 7, 5, 1, 7, 8, 3, 1, 7, 5, 3, 2, 8},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 5, 8, 9, 9, 5, 7, 9, 9, 7, 6, 2, 2, 3, 1, 7, 5, 9, 6, 8, 5, 4, 3, 9, 9, 4, 3, 9, 7, 1, 9, 4, 1, 1},
        {9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 4, 9, 9, 2, 4, 6, 9, 7, 6, 3, 4, 6, 7, 2, 7, 4, 6, 1, 6, 6, 7, 4, 8, 6, 9, 7, 5, 6, 6, 2, 8, 1, 8, 5},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 2, 4, 8, 3, 6, 2, 6, 5, 6, 2, 3, 6, 7, 2, 4, 3, 1, 3, 4, 4, 4, 5, 4, 2, 3, 1, 9, 7, 6, 1, 4, 9, 1, 1, 7, 5, 1},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 6, 2, 5, 4, 3, 4, 3, 7, 2, 7, 9, 4, 2, 4, 5, 1, 2, 2, 3, 5, 8, 4, 1, 4, 4, 1, 7, 1, 6, 8, 3, 2, 9, 5, 3, 7, 4},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 2, 1, 1, 2, 8, 4, 2, 6, 7, 7, 1, 9, 5, 4, 1, 9, 9, 9, 7, 8, 8, 3, 6, 8, 9, 4, 7, 2, 6, 7, 1, 5, 7, 4, 5, 5, 6},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 7, 9, 3, 2, 4, 3, 9, 2, 4, 7, 1, 8, 9, 7, 4, 5, 3, 5, 7, 5, 4, 8, 6, 8, 9, 3, 1, 1, 3, 1, 5, 6, 6, 3, 9, 9, 2},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 8, 6, 3, 3, 4, 4, 7, 2, 6, 4, 5, 4, 3, 1, 7, 7, 3, 8, 9, 1, 1, 7, 3, 6, 5, 7, 8, 6, 6, 1, 5, 3, 2, 5},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 6, 1, 9, 3, 4, 9, 3, 3, 7, 7, 4, 5, 2, 8, 1, 8, 4, 9, 2, 2, 1, 2, 9, 6, 4, 5, 6, 4, 6, 1, 6, 9, 9, 9, 5},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 7, 4, 6, 9, 8, 2, 7, 6, 4, 7, 8, 8, 1, 1, 7, 2, 7, 9, 2, 8, 4, 1, 7, 5, 6, 8, 2, 7, 3, 4, 4, 8, 7, 6, 8, 7, 2, 2},
        {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 3, 8, 8, 1, 5, 4, 3, 1, 2, 2, 1, 6, 6, 8, 7, 5, 3, 5, 3, 5, 9, 6, 1, 9, 9, 3, 1, 9, 7, 3, 1, 3, 5, 9, 1, 3},
        {2, 5, 3, 2, 6, 8, 1, 5, 8, 8, 2, 5, 7, 5, 5, 8, 2, 6, 6, 6, 6, 7, 6, 9, 7, 8, 1, 3, 8, 9, 7, 9, 3, 8, 6, 2, 7, 3, 2, 7, 2, 2, 7, 5, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 3, 8, 4, 9, 6, 2, 2, 4, 2, 6, 8, 7, 2, 7, 9, 7, 7, 7, 3, 3, 2, 3, 1, 3, 6, 4, 5, 1, 8, 4, 8, 3, 9, 3, 1, 2},
        {2, 4, 4, 8, 5, 4, 1, 5, 7, 2, 2, 7, 1, 5, 8, 5, 4, 6, 8, 6, 9, 1, 2, 3, 8, 2, 1, 5, 9, 4, 7, 4, 9, 6, 1, 6, 1, 6, 3, 1, 9, 5, 8, 7, 7, 9, 8, 8, 2, 9, 7, 7, 6, 3, 1, 6, 2, 9, 3, 4, 8, 4, 3, 5, 5, 6, 8, 9, 6, 2, 1, 4, 1, 5, 9, 4, 1, 2, 2, 2, 9, 7, 5, 1, 6, 4, 8, 4, 4, 5, 9, 8, 5, 2, 8, 3, 4, 5, 6, 9, 3, 5, 5, 7, 6, 3, 6, 8, 9, 1, 3, 5, 1, 2, 6, 6, 8, 2, 8, 2, 9, 5, 9, 2, 2, 4, 2, 9, 4, 8, 4, 2, 2, 1, 2, 1, 3, 9, 2, 2, 3, 6, 6, 9, 4, 5, 4, 4, 6, 1, 1, 8, 1}
    };
    calculate((unsigned int*) altitude_map_16, 86, 153);
    printf("\n");


    printf("TEST: altitude_map_17\n");
    printf("EXPECTING: contains a 61x61 grid of 1s at (12 , 30)\n");
    unsigned int altitude_map_17[90][161] = {
        {8, 5, 6, 6, 8, 3, 8, 2, 3, 1, 7, 7, 7, 8, 6, 1, 5, 5, 2, 7, 1, 4, 5, 2, 2, 3, 1, 9, 3, 2, 7, 4, 9, 1, 8, 1, 5, 8, 5, 1, 1, 8, 6, 5, 4, 8, 5, 4, 3, 5, 4, 7, 7, 9, 1, 6, 7, 4, 7, 3, 3, 5, 6, 6, 7, 4, 4, 9, 1, 2, 8, 5, 4, 9, 8, 6, 3, 8, 8, 9, 5, 4, 5, 3, 1, 1, 5, 7, 2, 7, 1, 2, 5, 7, 6, 7, 2, 9, 4, 6, 4, 3, 5, 1, 2, 6, 7, 1, 4, 1, 9, 1, 6, 1, 2, 1, 1, 4, 5, 4, 4, 3, 6, 4, 6, 2, 2, 9, 9, 4, 9, 2, 2, 8, 5, 7, 4, 9, 3, 8, 3, 4, 1, 4, 3, 4, 8, 5, 9, 2, 6, 9, 4, 8, 9, 6, 4, 8, 9, 5, 1},
        {3, 3, 9, 8, 5, 1, 3, 6, 9, 1, 4, 3, 1, 4, 7, 6, 4, 5, 7, 9, 8, 1, 4, 7, 9, 6, 2, 3, 7, 6, 2, 3, 4, 3, 8, 8, 6, 3, 8, 5, 3, 9, 2, 9, 5, 1, 6, 6, 1, 6, 6, 1, 9, 8, 5, 6, 4, 9, 5, 3, 6, 9, 8, 3, 8, 1, 3, 6, 8, 6, 6, 9, 9, 9, 7, 8, 4, 1, 3, 3, 4, 4, 2, 2, 9, 3, 6, 1, 8, 6, 4, 3, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 7, 6, 8, 7, 9, 3, 9, 9, 4, 5, 1, 3, 7, 6, 9, 6, 2, 8, 2, 5, 4, 3, 5, 7, 5, 9, 8, 4, 7, 6, 5, 8, 1, 1, 1, 6, 3, 2, 1, 3, 1, 9, 7},
        {1, 5, 2, 6, 5, 4, 5, 7, 5, 6, 3, 4, 1, 9, 1, 5, 9, 4, 7, 6, 8, 8, 4, 3, 3, 1, 2, 4, 1, 7, 8, 9, 6, 7, 6, 7, 8, 7, 9, 9, 7, 2, 9, 6, 9, 7, 5, 1, 5, 2, 6, 3, 1, 4, 1, 2, 5, 8, 5, 3, 2, 4, 5, 9, 9, 6, 5, 4, 3, 9, 6, 5, 6, 5, 4, 3, 8, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 1, 7, 4, 5, 1, 3, 9, 2, 4, 7, 1, 2, 3, 2, 6, 9, 3, 8, 3, 1, 2, 6, 1, 1, 2},
        {1, 2, 5, 7, 9, 3, 6, 3, 9, 8, 3, 7, 8, 3, 1, 6, 8, 1, 9, 4, 4, 6, 5, 7, 2, 6, 8, 3, 2, 5, 8, 8, 7, 2, 7, 5, 3, 2, 3, 6, 5, 7, 1, 5, 4, 5, 5, 2, 8, 6, 5, 5, 2, 3, 1, 4, 4, 6, 7, 6, 7, 3, 1, 3, 8, 8, 6, 3, 7, 2, 6, 5, 7, 2, 3, 3, 1, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8, 4, 5, 9, 1, 3, 4, 7, 1, 9, 5, 6, 4, 9, 9, 1, 5, 7, 7, 8, 8, 5, 2, 1, 3, 3},
        {5, 2, 2, 4, 4, 2, 2, 9, 4, 8, 5, 3, 9, 7, 6, 3, 2, 5, 2, 5, 4, 2, 9, 5, 6, 8, 7, 3, 8, 3, 3, 2, 9, 4, 1, 1, 1, 5, 2, 5, 1, 6, 7, 4, 6, 9, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 2, 4, 9, 4, 3, 6, 7, 1, 4, 9, 4, 3, 7, 1, 5, 6, 8, 6, 3, 9, 8, 2, 6, 5, 6},
        {4, 6, 2, 2, 9, 1, 3, 8, 1, 7, 8, 5, 5, 3, 3, 2, 7, 9, 2, 9, 7, 9, 6, 9, 2, 4, 3, 6, 7, 5, 9, 6, 6, 7, 8, 2, 8, 4, 3, 6, 9, 1, 9, 4, 4, 4, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 9, 6, 8, 7, 6, 6, 8, 5, 6, 6, 8, 1, 2, 8, 5, 6, 6, 2, 1, 1, 5, 5, 2},
        {8, 9, 1, 9, 7, 3, 8, 1, 2, 1, 9, 8, 8, 2, 2, 4, 5, 2, 9, 3, 8, 2, 4, 6, 7, 4, 7, 8, 5, 1, 3, 4, 6, 8, 4, 8, 7, 9, 1, 9, 8, 8, 1, 3, 1, 5, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 6, 1, 2, 4, 8, 8, 2, 3, 7, 3, 8, 6, 7, 3, 5, 4, 8, 2, 4, 9, 3, 5, 4, 6, 7},
        {2, 4, 5, 5, 6, 2, 3, 9, 8, 4, 4, 8, 9, 5, 1, 8, 8, 6, 7, 6, 4, 2, 4, 6, 5, 6, 8, 8, 8, 7, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 8, 5, 8, 9, 1, 5, 7, 7, 7, 7, 9, 6, 2, 4, 4, 4, 8, 2, 8, 1, 8, 6, 6, 1},
        {8, 4, 7, 5, 6, 3, 6, 1, 5, 6, 2, 4, 6, 2, 8, 4, 5, 1, 7, 2, 4, 7, 4, 5, 1, 1, 6, 8, 8, 1, 3, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 3, 8, 7, 1, 8, 4, 9, 7, 1, 8, 5, 3, 5, 4, 6, 1, 7, 8, 3, 4, 7, 1, 1, 6, 1},
        {3, 1, 5, 2, 2, 1, 4, 5, 1, 2, 7, 3, 5, 7, 6, 8, 9, 3, 5, 9, 2, 1, 9, 8, 4, 6, 2, 6, 2, 1, 1, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 1, 1, 2, 7, 2, 4, 8, 8, 7, 8, 1, 8, 1, 3, 9, 6, 8, 9, 7, 9, 4, 8, 2, 2},
        {4, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 3, 2, 1, 3, 1, 4, 6, 7, 9, 1, 6, 3, 8, 8, 7, 3, 3, 6, 7, 9, 5, 3, 8, 1},
        {7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 7, 9, 1, 5, 2, 7, 4, 7, 8, 3, 9, 6, 2, 5, 1, 5, 5, 8, 8, 7, 4, 6, 5, 6, 8},
        {9, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 3, 8, 7, 4, 8, 6, 6, 8, 7, 6, 9, 9, 5, 1, 3, 8, 5, 1, 6, 6, 2, 7, 8, 6, 3},
        {6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 1, 3, 9, 4, 7, 3, 9, 6, 1, 3, 2, 5, 7, 2, 3, 1, 5, 7, 3, 6, 9, 7, 6, 9, 9, 7},
        {5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 9, 2, 2, 3, 7, 2, 2, 2, 5, 1, 2, 8, 7, 7, 4, 5, 2, 5, 8, 4, 8, 1, 3, 3},
        {8, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 6, 8, 6, 8, 4, 1, 9, 5, 2, 6, 8, 3, 2, 2, 9, 8, 9, 1, 7, 5, 3, 8, 9, 5},
        {3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 1, 6, 2, 7, 1, 1, 1, 3, 3, 4, 5, 2, 5, 4, 1, 6, 5, 3, 7, 9, 3, 8, 8, 6, 2},
        {4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 2, 4, 3, 8, 8, 8, 1, 8, 3, 6, 5, 3, 4, 4, 2, 3, 7, 2, 7, 7, 7, 2, 1, 7, 1},
        {2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 1, 2, 2, 1, 2, 1, 5, 2, 1, 8, 1, 1, 7, 5, 3, 9, 6, 7, 3, 8, 4, 5, 9, 2, 6},
        {4, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 6, 8, 9, 4, 3, 6, 2, 6, 8, 8, 8, 6, 5, 9, 4, 9, 8, 5, 2, 2, 9, 4, 2, 6},
        {8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 1, 5, 1, 6, 9, 7, 7, 5, 4, 5, 8, 2, 7, 5, 3, 7, 9, 5, 8, 8, 4, 6},
        {8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 8, 7, 7, 3, 5, 4, 6, 8, 5, 7, 1, 6, 2, 4, 9, 5, 6, 4, 4, 4, 2, 9, 9, 5},
        {8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 3, 9, 7, 4, 8},
        {8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5},
        {8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 1},
        {8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4},
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        {1, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6},
        {4, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2},
        {2, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 2},
        {4, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 9, 2},
        {5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 8},
        {9, 2, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 4},
        {1, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 6},
        {2, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 1},
        {6, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 5},
        {7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 3, 2},
        {6, 2, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6},
        {7, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 1},
        {3, 7, 1, 8, 4, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 2},
        {1, 8, 9, 5, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 8},
        {3, 9, 9, 1, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 3, 1},
        {1, 3, 6, 1, 2, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 9, 6, 4, 5, 1, 8, 1},
        {3, 9, 4, 3, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 1, 5, 4, 6},
        {9, 2, 3, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 3, 5, 7, 8, 4, 9, 2},
        {9, 6, 3, 5, 6, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 7, 9, 4},
        {1, 7, 2, 2, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 5, 6, 1},
        {1, 1, 9, 8, 4, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 7, 1, 2},
        {4, 6, 6, 8, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 1, 8, 2},
        {8, 7, 4, 5, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 2, 6, 5},
        {2, 9, 7, 9, 7, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 3, 6, 3},
        {9, 5, 9, 4, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 8, 9},
        {4, 3, 5, 6, 1, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 6, 8},
        {8, 8, 9, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 8},
        {3, 6, 6, 7, 5, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 7},
        {2, 6, 7, 6, 1, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 1},
        {1, 7, 2, 6, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 6},
        {2, 2, 7, 9, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 8},
        {1, 5, 6, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9},
        {4, 2, 3, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 6, 3},
        {6, 8, 7, 6, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 8, 8},
        {1, 9, 5, 4, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 3},
        {6, 2, 7, 4, 7, 5, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 8, 4, 8, 7, 9, 5, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 1, 4},
        {5, 2, 6, 5, 4, 9, 4, 9, 7, 8, 2, 8, 5, 1, 6, 6, 3, 9, 2, 6, 5, 5, 4, 1, 1, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 7, 8, 1, 8, 9, 1, 1, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 3, 1},
        {6, 4, 1, 5, 4, 7, 5, 4, 7, 2, 7, 8, 2, 5, 2, 5, 9, 3, 1, 9, 1, 6, 1, 3, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 8, 6, 1, 2, 9, 9, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 4},
        {1, 4, 9, 5, 4, 3, 4, 4, 4, 1, 6, 9, 3, 1, 1, 9, 7, 5, 3, 6, 5, 8, 4, 3, 9, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 1, 2, 7, 5, 6, 7, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 8},
        {7, 5, 2, 9, 3, 9, 2, 4, 3, 1, 1, 6, 1, 4, 8, 1, 5, 1, 4, 5, 6, 4, 3, 4, 1, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 1, 2, 6, 1, 7, 6, 7, 3, 1, 1, 6, 2, 2, 3, 2, 8, 3, 7, 7, 2, 1, 6, 2, 2, 1, 8, 7, 6, 9, 7, 6, 9, 4},
        {2, 3, 4, 5, 4, 9, 4, 8, 5, 5, 6, 6, 3, 7, 2, 9, 5, 8, 4, 1, 4, 7, 6, 3, 9, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 3, 4, 6, 4, 4, 4, 9, 4, 7, 9, 1, 7, 8, 9, 2, 2, 7, 9, 4, 1, 3, 8, 2, 4, 1, 3, 4, 2, 8, 3, 3, 2, 8, 8, 4, 5, 5, 7, 6, 1, 9, 6, 5, 4, 7, 4, 5, 3, 8, 7, 2, 5, 1, 5, 5, 3, 8, 7, 5, 3, 7, 3, 1, 6, 7, 5, 7, 8, 4, 9, 1, 9, 7, 2, 1},
        {9, 9, 8, 8, 2, 2, 3, 7, 7, 4, 6, 9, 1, 3, 7, 5, 2, 1, 6, 2, 9, 5, 5, 4, 9, 5, 7, 9, 5, 7, 4, 3, 4, 9, 9, 7, 1, 2, 1, 5, 3, 2, 4, 2, 1, 4, 7, 5, 3, 6, 4, 2, 4, 6, 1, 6, 8, 7, 4, 4, 3, 5, 9, 4, 6, 8, 4, 1, 8, 6, 6, 3, 5, 1, 3, 1, 1, 2, 2, 2, 7, 9, 4, 6, 2, 9, 5, 4, 1, 5, 1, 8, 1, 6, 1, 9, 2, 4, 9, 6, 8, 9, 2, 2, 9, 4, 6, 2, 4, 6, 4, 9, 1, 2, 3, 4, 7, 5, 2, 5, 6, 5, 9, 7, 1, 3, 9, 3, 9, 5, 6, 7, 9, 5, 9, 5, 7, 3, 7, 2, 1, 3, 1, 1, 1, 2, 7, 9, 7, 2, 4, 6, 8, 5, 1, 6, 3, 7, 9, 2, 2},
        {1, 3, 7, 4, 5, 1, 6, 8, 1, 1, 1, 8, 3, 2, 1, 3, 2, 3, 8, 2, 7, 1, 2, 1, 4, 5, 9, 4, 6, 3, 8, 4, 9, 2, 5, 5, 4, 5, 5, 4, 1, 8, 1, 6, 9, 6, 6, 8, 1, 8, 1, 7, 8, 2, 6, 6, 7, 2, 4, 8, 4, 5, 9, 2, 4, 6, 6, 9, 2, 9, 2, 8, 4, 3, 5, 9, 3, 6, 4, 1, 7, 8, 7, 5, 6, 3, 9, 8, 3, 2, 4, 7, 4, 9, 1, 1, 2, 9, 7, 2, 6, 9, 3, 9, 3, 9, 9, 9, 7, 9, 3, 8, 9, 8, 5, 6, 1, 9, 4, 5, 5, 4, 5, 6, 8, 2, 5, 4, 3, 2, 7, 5, 1, 4, 7, 3, 4, 7, 3, 8, 4, 6, 9, 6, 9, 5, 7, 5, 1, 8, 2, 2, 6, 1, 5, 1, 6, 3, 1, 9, 5}
    };
    calculate((unsigned int*) altitude_map_17, 90, 161);
    printf("\n");


    printf("TEST: altitude_map_18\n");
    printf("EXPECTING: contains a 76x76 grid of 4s at (3 , 90)\n");
    unsigned int altitude_map_18[97][174] = {
        {3, 7, 7, 9, 5, 8, 4, 6, 3, 4, 9, 6, 3, 3, 9, 8, 3, 2, 4, 2, 8, 5, 4, 4, 5, 8, 6, 6, 2, 5, 1, 1, 3, 4, 8, 4, 3, 4, 9, 3, 6, 4, 5, 4, 1, 8, 7, 3, 2, 1, 9, 2, 2, 7, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 2, 7, 9, 2, 6, 2, 2, 8, 2, 7, 7, 5, 8, 3, 8, 9, 3, 1, 6, 3, 3, 8, 5, 6, 5, 7, 2, 1, 5, 8, 9, 8, 5, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 7, 8, 6, 8, 3, 3, 5, 1, 5, 7, 3, 6, 9, 7, 5, 6, 6, 9, 3, 4, 8, 7, 4, 6, 9, 7, 6, 5, 7, 8, 4, 8, 3, 1, 2, 4, 6, 7, 3, 6, 4, 1, 4, 4, 2, 4, 4},
        {5, 1, 9, 7, 2, 8, 7, 8, 9, 5, 7, 8, 2, 3, 3, 7, 8, 8, 9, 7, 7, 9, 1, 7, 8, 3, 1, 7, 3, 3, 3, 5, 3, 3, 9, 7, 1, 6, 6, 5, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 6, 6, 7, 1, 9, 4, 9, 8, 5, 7, 1, 4, 7, 5, 4, 7, 4, 1, 1, 9, 2, 1, 2, 4, 8, 7, 8, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 5, 1, 4, 1, 5, 9, 8, 9, 1, 9, 2, 4, 8, 4, 4, 8, 9, 7, 2, 4, 2, 2, 4, 6, 9, 8, 8, 3, 9, 9, 4, 2},
        {4, 3, 1, 5, 3, 7, 4, 2, 4, 8, 2, 9, 5, 4, 9, 4, 8, 3, 7, 2, 3, 6, 5, 3, 4, 5, 5, 5, 6, 2, 4, 6, 9, 9, 5, 1, 3, 7, 1, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 1, 2, 4, 5, 3, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 1, 4, 6, 6, 2, 8, 1, 5, 7, 4, 4, 2, 7, 3, 8, 4, 1, 6},
        {8, 9, 8, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 5, 9, 3, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 3, 9, 4, 5},
        {2, 6, 5, 4, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 1, 2, 7, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 9, 7, 4, 7, 2, 2},
        {4, 7, 6, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 3, 9, 3, 9, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8, 3, 6, 9, 2, 5, 6},
        {2, 6, 1, 1, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {9, 8, 3, 8, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {8, 1, 6, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {1, 7, 8, 3, 3, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {3, 5, 5, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2},
        {7, 6, 5, 8, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3},
        {5, 5, 2, 3, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {3, 4, 8, 8, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {1, 4, 9, 9, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4},
        {5, 1, 5, 6, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {1, 1, 4, 5, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {3, 3, 9, 7, 2, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 6},
        {5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 5},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 5},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 6},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4},
        {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 8},
        {5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 5},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 5},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 6},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 5},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 8},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 9},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 6},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 7, 7, 6, 5, 3},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 6, 8, 9, 9},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 5, 6, 8, 1},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 8, 6, 5, 8},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 1, 7, 8, 3},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 4, 6, 6, 2},
        {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 2, 9, 5, 8},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 2, 1, 7, 1},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 6, 2, 2, 8},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 9, 9, 2, 7},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 5, 7, 2, 9},
        {5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 6, 9, 2, 1},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 9, 4, 6, 9},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 7, 9, 5, 6},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 4, 3, 1, 2},
        {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 5, 1, 5, 4},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 1, 1, 3, 3},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 5, 4, 4, 6},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 8, 7, 2, 9},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 4, 9, 4, 8},
        {9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 7, 4, 5, 7},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 9, 4, 7, 2},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 4, 8, 5, 3},
        {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 6, 4, 6, 2},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 1, 3, 9, 2, 2},
        {5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 8, 3, 3, 2},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 6, 8, 9, 9},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 1, 8, 7},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 5, 7, 8, 3},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 6, 6, 5, 2},
        {8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 6},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 7},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 8, 3, 9, 6},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 8, 2, 6},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 3, 2, 6},
        {5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 6, 7, 3, 6},
        {1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 9, 3},
        {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 9, 6, 1, 9},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 9, 5, 8, 9, 8, 1, 9, 6, 4, 8, 7, 5, 1, 4, 3, 6, 9, 2, 9, 8, 9, 3, 3, 8, 2, 5, 1, 7, 2, 9, 8, 3, 4},
        {7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 7, 2, 6, 6, 4, 3, 4, 9, 3, 2, 2, 8, 4, 6, 3, 6, 4, 1, 2, 1, 7, 7, 2, 2, 9, 2, 8, 3, 3, 9, 2},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 5, 1, 6, 9, 8, 3, 6, 9, 5, 8, 9, 9, 4, 3, 6, 3, 9, 1, 2, 5, 9, 1, 9, 3, 6, 9, 7, 8, 9, 5, 3},
        {2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 3, 9, 8, 1, 7, 5, 8, 2, 1, 7, 5, 6, 3, 8, 1, 3, 6, 4, 7, 2, 5, 4, 9, 8, 8, 5, 4, 6, 9, 9, 7},
        {6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 8, 3, 2, 6, 3, 8, 3, 6, 4, 9, 7, 4, 9, 2, 1, 3, 3, 3, 7, 6, 7, 7, 7, 1, 2, 2, 6, 1, 3, 1, 4},
        {4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 8, 1, 9, 2, 1, 6, 7, 4, 3, 6, 5, 2, 3, 2, 5, 7, 7, 2, 1, 4, 7, 6, 8, 2, 5, 3, 1, 3, 1, 2, 7, 2},
        {1, 5, 8, 8, 5, 9, 2, 1, 3, 3, 1, 5, 5, 4, 3, 4, 1, 8, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 3, 1, 1, 1, 6, 1, 2, 5, 3, 5, 2, 9, 2, 3, 7, 5, 9, 7, 4, 9, 6, 7, 8, 2, 3, 9, 3, 7, 7, 7, 4},
        {9, 6, 3, 6, 7, 7, 6, 5, 4, 9, 7, 1, 7, 5, 3, 4, 9, 2, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 5, 1, 9, 9, 8, 6, 8, 3, 6, 3, 9, 4, 8, 3, 6, 6, 7, 2, 8, 8, 4, 3, 4, 8, 8, 3, 3, 2, 6, 2, 5, 8, 1, 1, 8, 3, 5, 3, 3, 5},
        {3, 8, 7, 9, 3, 2, 4, 3, 5, 6, 6, 9, 6, 8, 5, 9, 2, 8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 2, 6, 2, 4, 6, 4, 1, 2, 8, 3, 4, 2, 2, 7, 5, 7, 2, 1, 1, 4, 5, 5, 6, 8, 3, 2, 6, 8, 9, 3, 9, 6, 1, 2, 1, 7, 7, 3, 8, 6, 4, 3, 6, 8, 8, 4, 9, 2, 5, 9, 4, 3, 2, 1, 5, 3, 8, 8, 5, 9, 4, 7, 8, 4, 9, 9, 5, 5, 7, 7, 4, 6, 8, 5, 6, 5, 4, 7, 4, 3, 5, 6, 7, 6},
        {6, 2, 2, 1, 2, 3, 9, 9, 7, 4, 3, 7, 6, 9, 7, 4, 5, 3, 1, 8, 6, 1, 5, 7, 6, 5, 1, 4, 2, 1, 4, 6, 6, 1, 7, 8, 6, 8, 6, 9, 4, 8, 6, 5, 5, 7, 8, 5, 5, 9, 8, 2, 2, 1, 6, 7, 6, 4, 3, 7, 3, 4, 1, 8, 6, 6, 8, 3, 6, 3, 5, 4, 5, 2, 9, 3, 2, 8, 2, 5, 5, 2, 3, 5, 7, 4, 6, 6, 6, 5, 6, 3, 7, 6, 3, 3, 4, 5, 5, 8, 1, 4, 6, 4, 5, 6, 7, 3, 4, 5, 7, 5, 7, 9, 2, 5, 8, 3, 2, 5, 2, 3, 3, 9, 5, 3, 3, 5, 8, 7, 4, 2, 8, 8, 4, 4, 2, 2, 2, 3, 7, 8, 5, 8, 5, 5, 9, 6, 2, 1, 3, 4, 3, 2, 6, 5, 5, 8, 8, 8, 6, 8, 7, 5, 4, 8, 5, 2, 1, 3, 8, 4, 3, 4}
    };
    calculate((unsigned int*) altitude_map_18, 97, 174);
    printf("\n");


    printf("TEST: altitude_map_19\n");
    printf("EXPECTING: contains a 47x47 grid of 8s at (8 , 38)\n");
    unsigned int altitude_map_19[98][183] = {
        {1, 4, 1, 5, 4, 4, 8, 8, 1, 3, 8, 4, 8, 9, 2, 4, 8, 1, 3, 4, 5, 8, 3, 1, 3, 4, 8, 6, 2, 9, 8, 3, 4, 3, 7, 6, 5, 6, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 1, 5, 9, 3, 4, 8, 3, 1, 3, 7, 8, 9, 7, 8, 9, 3, 2, 6, 7, 2, 2, 7, 3, 4, 2, 4, 3, 9, 5, 4, 3, 1, 3, 5, 1, 1, 1, 1, 4, 1, 5, 7, 2, 5, 2, 6, 3, 1, 5, 9, 3, 6, 8, 5, 8, 3, 2, 9, 5, 6, 2, 2, 7, 5, 3, 9, 9, 1, 3, 4, 2, 7, 6, 5, 8, 6, 9, 6, 8, 6, 8, 4, 9, 3, 7, 8, 5, 6, 7, 5, 5, 9, 2, 6, 6, 9, 5, 3, 2, 9, 7, 8, 2, 9, 3, 5, 7, 7, 8},
        {7, 5, 1, 2, 4, 1, 7, 7, 5, 6, 5, 2, 5, 6, 4, 1, 2, 1, 1, 9, 3, 8, 3, 1, 2, 2, 4, 2, 8, 3, 2, 3, 4, 5, 2, 8, 9, 9, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 8, 1, 8, 7, 6, 3, 1, 9, 9, 1, 3, 2, 9, 1, 7, 5, 9, 4, 7, 1, 6, 7, 1, 3, 8, 7, 1, 6, 4, 3, 3, 5, 2, 4, 1, 5, 9, 6, 2, 1, 3, 3, 6, 5, 1, 4, 4, 4, 2, 3, 2, 4, 6, 5, 7, 3, 9, 2, 8, 1, 5, 6, 8, 8, 1, 4, 2, 9, 5, 1, 5, 3, 9, 6, 2, 9, 1, 3, 1, 8, 2, 2, 9, 4, 3, 3, 3, 6, 3, 9, 2, 7, 4, 1, 8, 3, 8, 6, 5, 4, 8, 8, 2, 6, 9, 8, 8, 7, 4},
        {4, 4, 1, 9, 5, 3, 8, 3, 9, 6, 4, 9, 1, 5, 9, 6, 6, 4, 6, 1, 7, 2, 1, 9, 7, 1, 3, 7, 9, 1, 8, 8, 3, 1, 1, 8, 7, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 2, 8, 4, 6, 9, 1, 1, 4, 1, 5, 9, 1, 2, 8, 6, 7, 3, 8, 5, 7, 3, 3, 4, 9, 2, 3, 2, 2, 7, 4, 6, 6, 6, 2, 7, 3, 9, 7, 4, 8, 2, 6, 8, 1, 2, 8, 6, 3, 1, 5, 8, 4, 9, 9, 2, 2, 1, 9, 9, 4, 3, 9, 8, 7, 7, 6, 3, 5, 5, 8, 9, 2, 3, 1, 2, 7, 4, 2, 6, 1, 4, 2, 8, 9, 2, 6, 3, 5, 6, 1, 9, 9, 5, 2, 4, 2, 1, 1, 5, 3, 5, 5, 8, 5, 1, 3, 7, 4, 6},
        {2, 4, 4, 8, 6, 3, 6, 1, 8, 8, 8, 7, 8, 6, 3, 1, 6, 9, 9, 2, 2, 5, 9, 8, 4, 2, 2, 8, 3, 2, 2, 2, 8, 7, 6, 1, 5, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 2, 3, 7, 7, 9, 3, 1, 6, 2, 3, 6, 4, 4, 4, 8, 8, 7, 2, 8, 1, 2, 3, 5, 6, 6, 5, 8, 6, 3, 9, 2, 6, 4, 5, 3, 7, 1, 3, 3, 9, 1, 4, 6, 7, 4, 8, 5, 4, 4, 4, 7, 4, 3, 2, 8, 6, 9, 2, 3, 2, 4, 5, 3, 2, 1, 2, 9, 3, 9, 8, 1, 2, 1, 3, 7, 4, 6, 7, 3, 6, 7, 6, 1, 1, 5, 4, 4, 2, 5, 7, 9, 7, 7, 5, 8, 3, 6, 3, 3, 6, 1, 9, 4, 2, 7, 2, 1, 2},
        {7, 9, 7, 9, 8, 1, 1, 5, 8, 7, 9, 9, 6, 3, 3, 6, 4, 1, 4, 9, 9, 1, 4, 6, 5, 9, 3, 2, 1, 3, 4, 7, 7, 9, 2, 8, 4, 9, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 9, 7, 7, 8, 1, 8, 5, 4, 7, 4, 2, 4, 1, 9, 5, 1, 2, 5, 6, 7, 1, 2, 4, 6, 4, 2, 3, 8, 5, 3, 9, 4, 1, 2, 6, 6, 7, 2, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 7, 2, 9, 8, 6, 8, 1, 3, 4, 5, 7, 3, 7, 6, 5, 7, 9, 1, 4, 5, 3, 3, 5, 2, 6, 6, 9},
        {2, 6, 6, 5, 3, 7, 8, 1, 2, 9, 3, 9, 2, 1, 5, 4, 8, 3, 6, 3, 3, 9, 1, 4, 5, 6, 7, 3, 9, 8, 5, 4, 8, 3, 5, 2, 8, 8, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 1, 6, 7, 4, 3, 4, 6, 9, 1, 4, 4, 5, 6, 3, 4, 5, 8, 9, 7, 1, 3, 9, 5, 1, 4, 9, 3, 1, 5, 5, 6, 9, 8, 5, 9, 1, 6, 5, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 2, 5, 9, 5, 9, 5, 4, 2, 6, 7, 5, 8, 3, 7, 4, 6, 8, 1, 4, 5, 9, 7, 1, 4},
        {1, 3, 2, 8, 6, 4, 5, 4, 5, 2, 8, 8, 1, 1, 6, 6, 1, 7, 7, 3, 4, 6, 9, 9, 8, 8, 4, 8, 8, 8, 7, 1, 9, 1, 1, 6, 8, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 7, 2, 5, 4, 8, 4, 4, 3, 9, 9, 3, 6, 9, 7, 8, 2, 7, 1, 3, 2, 6, 3, 3, 7, 7, 7, 7, 2, 5, 9, 7, 6, 6, 4, 1, 2, 3, 1, 1, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 1, 7, 8, 5, 7, 6, 3, 2, 6, 1, 8, 8, 2, 6, 3, 4, 1, 6, 1, 4, 7, 8, 6, 8, 9},
        {3, 5, 8, 8, 9, 6, 7, 8, 2, 6, 6, 5, 3, 3, 3, 7, 7, 5, 1, 1, 5, 9, 9, 3, 8, 1, 9, 9, 5, 8, 5, 6, 5, 2, 5, 4, 3, 9, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 9, 1, 5, 7, 7, 7, 7, 8, 6, 9, 5, 4, 4, 6, 2, 1, 7, 5, 4, 4, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 1, 4, 5, 4, 1, 9, 1, 9, 7, 8, 1, 5, 7, 4, 4, 2, 6, 2, 7, 1, 3, 7, 9, 3, 1},
        {2, 8, 8, 9, 9, 5, 3, 4, 2, 8, 3, 7, 2, 3, 1, 9, 8, 1, 6, 2, 4, 4, 8, 5, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 9, 4, 3, 6, 7, 7, 7, 7, 8, 4, 7, 2, 8, 2, 8, 9, 9, 6, 9, 6, 5, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 2, 1, 7, 8, 9, 8, 5, 9, 7, 3, 6, 2, 9, 8, 8, 1, 7, 8, 1, 7, 9, 4, 8, 9},
        {6, 8, 5, 3, 6, 3, 7, 2, 1, 5, 9, 1, 5, 8, 9, 7, 9, 5, 4, 1, 1, 9, 9, 5, 3, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 4, 6, 2, 1, 7, 7, 7, 7, 5, 5, 1, 1, 4, 6, 1, 8, 4, 3, 1, 8, 1, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 8, 8, 8, 2, 5, 2, 5, 5, 5, 9, 7, 4, 3, 1, 5, 2, 7, 8, 4, 9, 1, 7, 1, 4},
        {5, 4, 2, 1, 7, 7, 4, 8, 3, 5, 8, 6, 8, 9, 4, 3, 4, 4, 3, 6, 8, 6, 6, 7, 9, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 8, 9, 3, 4, 1, 4, 7, 9, 6, 6, 4, 1, 8, 9, 1, 5, 1, 7, 5, 7, 4, 2, 2, 4, 6},
        {1, 6, 8, 4, 8, 5, 4, 8, 8, 4, 3, 7, 6, 6, 7, 2, 7, 1, 1, 2, 1, 9, 2, 9, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 3, 7, 4, 4, 1, 6, 4, 5, 1, 2, 9, 1, 1, 5, 5, 2, 5, 5, 8, 1, 4, 7, 7, 7},
        {4, 4, 5, 7, 3, 1, 1, 3, 9, 9, 9, 6, 6, 5, 3, 9, 6, 2, 9, 6, 6, 5, 6, 8, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 2, 1, 7, 9, 2, 7, 2, 3, 1, 2, 4, 1, 3, 9, 5, 4, 9, 3, 7, 3, 1, 4, 8, 1, 3},
        {7, 4, 7, 3, 1, 2, 8, 7, 4, 9, 2, 6, 9, 8, 8, 3, 2, 6, 3, 2, 3, 3, 7, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 7, 4, 5, 1, 7, 8, 7, 6, 3, 5, 5, 6, 2, 1, 4, 4, 7, 1, 8, 1, 1, 6, 2, 5, 2},
        {1, 4, 4, 2, 5, 3, 2, 1, 1, 5, 4, 7, 5, 8, 5, 1, 6, 7, 6, 6, 1, 4, 2, 7, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 5, 1, 6, 5, 9, 2, 1, 7, 6, 8, 2, 4, 6, 4, 5, 3, 8, 4, 6, 8, 4, 5, 9, 9, 6},
        {2, 8, 2, 9, 5, 2, 5, 1, 9, 5, 1, 6, 5, 7, 9, 4, 1, 5, 7, 7, 9, 8, 5, 1, 9, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 9, 6, 7, 8, 5, 2, 3, 1, 1, 1, 8, 3, 2, 5, 9, 3, 8, 7, 1, 7, 3, 1, 6, 5, 2},
        {3, 5, 8, 3, 5, 9, 5, 2, 6, 5, 2, 8, 6, 1, 4, 4, 6, 6, 7, 6, 5, 1, 1, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 8, 5, 7, 5, 2, 7, 1, 5, 1, 2, 5, 9, 6, 7, 1, 5, 1, 9, 4, 6, 2, 1, 8, 6, 1},
        {2, 9, 2, 9, 8, 3, 9, 4, 4, 2, 6, 9, 4, 7, 2, 1, 5, 6, 6, 9, 7, 2, 2, 6, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 5, 4, 7, 4, 3, 2, 5, 9, 2, 6, 7, 4, 4, 8, 9, 5, 6, 1, 3, 2, 5, 1, 7, 9, 2},
        {5, 4, 4, 6, 5, 4, 9, 5, 1, 5, 7, 6, 1, 6, 3, 5, 4, 4, 8, 1, 9, 2, 4, 9, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 3, 1, 7, 1, 7, 8, 1, 9, 2, 7, 7, 7, 7, 3, 2, 2, 5, 1, 5, 3, 1, 7, 7, 5, 1},
        {4, 5, 8, 9, 2, 2, 3, 3, 5, 7, 5, 2, 6, 5, 1, 6, 6, 5, 3, 7, 2, 5, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 5, 8, 3, 8, 3, 1, 9, 8, 7, 7, 1, 2, 6, 5, 5, 4, 8, 5, 9, 3, 1, 3, 8, 1, 4},
        {4, 9, 1, 4, 4, 3, 6, 5, 8, 5, 9, 2, 9, 3, 3, 1, 3, 7, 7, 9, 4, 8, 8, 3, 3, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 2, 1, 7, 4, 1, 4, 9, 8, 6, 5, 9, 3, 8, 1, 7, 8, 7, 6, 1, 6, 3, 4, 2},
        {2, 6, 7, 3, 6, 5, 1, 4, 6, 6, 6, 8, 6, 1, 2, 1, 9, 5, 1, 4, 4, 2, 4, 9, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 7, 7, 7, 3, 1, 9, 2, 3, 7, 6, 5, 9, 5, 1, 4, 3, 5, 6, 6, 4, 3, 1, 5, 4, 4},
        {1, 7, 5, 8, 4, 5, 1, 4, 5, 9, 4, 7, 5, 9, 1, 1, 5, 8, 5, 8, 3, 5, 9, 9, 1, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 1, 7, 4, 1, 2, 4, 8, 4, 3, 1, 3, 5, 4, 8, 8, 1, 6, 2, 1, 9, 2, 1, 7, 3, 6},
        {4, 9, 4, 7, 8, 1, 1, 2, 8, 9, 3, 8, 6, 3, 2, 4, 8, 5, 8, 7, 2, 4, 9, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 8, 6, 7, 6, 2, 1, 3, 7, 4, 6, 1, 4, 7, 4, 2, 6, 5, 5, 9, 8, 2, 8, 3, 7},
        {6, 7, 4, 1, 5, 4, 9, 6, 1, 4, 1, 5, 3, 5, 1, 5, 9, 1, 1, 7, 2, 1, 2, 3, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 9, 2, 8, 6, 5, 7, 7, 7, 6, 2, 7, 5, 2, 9, 2, 4, 9, 4, 4, 5, 4, 3, 5, 8, 1},
        {4, 2, 1, 6, 9, 7, 4, 2, 8, 6, 8, 7, 2, 3, 9, 3, 3, 6, 2, 4, 8, 1, 3, 9, 2, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 5, 7, 7, 8, 5, 9, 4, 8, 8, 7, 3, 8, 9, 7, 6, 9, 7, 6, 8, 4, 8, 2, 2, 9, 4},
        {8, 7, 4, 5, 9, 2, 2, 8, 6, 8, 8, 9, 1, 5, 9, 6, 2, 1, 7, 8, 8, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 4, 3, 7, 7, 5, 8, 2, 5, 1, 3, 9, 4, 7, 1, 6, 2, 1, 9, 1, 7, 9, 7, 1, 4},
        {8, 7, 8, 3, 5, 6, 4, 3, 2, 3, 6, 2, 3, 7, 7, 6, 5, 1, 2, 4, 1, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 3, 1, 4, 5, 6, 1, 7, 1, 1, 7, 9, 7, 1, 5, 5, 6, 7, 7, 1, 6, 1, 5, 7, 1, 5},
        {2, 3, 3, 1, 4, 7, 4, 9, 4, 8, 2, 3, 1, 3, 9, 7, 4, 1, 1, 8, 2, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 2, 5, 8, 9, 3, 6, 6, 7, 9, 6, 5, 1, 8, 6, 5, 7, 5, 1, 5, 6, 6, 5, 5, 7, 4},
        {9, 2, 5, 4, 2, 4, 2, 5, 8, 7, 7, 1, 3, 8, 5, 4, 1, 2, 8, 7, 8, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 8, 4, 2, 5, 8, 7, 3, 2, 8, 4, 1, 9, 8, 6, 1, 2, 5, 2, 1, 3, 6, 7, 2, 6, 1},
        {8, 1, 3, 7, 9, 4, 7, 3, 9, 8, 1, 9, 4, 2, 6, 7, 1, 8, 5, 2, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 7, 7, 8, 3, 2, 2, 7, 2, 7, 2, 1, 3, 6, 1, 1, 9, 6, 7, 2, 8, 5, 3, 9, 2, 5},
        {1, 1, 2, 6, 1, 4, 9, 4, 5, 7, 4, 4, 9, 1, 4, 4, 3, 1, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 3, 5, 1, 9, 5, 8, 5, 6, 1, 8, 2, 8, 7, 1, 6, 6, 7, 5, 2, 8, 7, 6, 8, 1, 1},
        {4, 5, 2, 1, 1, 5, 3, 9, 3, 6, 4, 8, 7, 4, 5, 6, 2, 8, 9, 3, 2, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8},
        {5, 7, 3, 3, 1, 6, 3, 5, 8, 1, 9, 3, 4, 4, 9, 7, 4, 9, 4, 3, 8, 1, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 2},
        {3, 2, 4, 3, 5, 1, 1, 1, 9, 4, 2, 3, 5, 8, 8, 7, 6, 2, 5, 7, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4},
        {8, 6, 8, 4, 6, 9, 3, 4, 1, 7, 5, 1, 2, 8, 1, 8, 4, 4, 1, 5, 8, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6},
        {7, 7, 2, 3, 4, 6, 4, 7, 9, 2, 2, 7, 3, 2, 8, 2, 2, 1, 9, 9, 7, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5},
        {2, 9, 5, 8, 7, 3, 2, 4, 2, 7, 1, 7, 6, 9, 7, 9, 5, 8, 9, 7, 9, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6},
        {5, 8, 1, 7, 9, 6, 6, 9, 9, 6, 3, 4, 1, 2, 5, 8, 8, 7, 3, 6, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9},
        {5, 7, 4, 2, 3, 1, 4, 3, 4, 9, 4, 6, 2, 3, 5, 9, 7, 2, 1, 6, 5, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7},
        {7, 2, 1, 2, 1, 5, 7, 8, 8, 2, 2, 8, 8, 6, 4, 5, 5, 8, 3, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 1},
        {5, 1, 7, 2, 7, 7, 2, 2, 4, 3, 7, 2, 9, 6, 3, 7, 5, 8, 9, 1, 7, 1, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4},
        {2, 1, 4, 4, 7, 4, 6, 3, 6, 9, 4, 1, 1, 1, 1, 5, 4, 4, 2, 7, 6, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9},
        {8, 7, 9, 6, 8, 2, 2, 6, 5, 1, 4, 1, 3, 7, 6, 5, 2, 7, 9, 8, 4, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 1},
        {7, 5, 6, 5, 6, 3, 1, 2, 7, 8, 9, 5, 6, 3, 2, 3, 6, 2, 9, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 2, 5, 1, 9, 5, 9, 6, 6, 4, 8, 3, 5, 4, 8, 7, 5, 1, 8, 2, 1, 8, 3, 3, 9, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 9},
        {4, 4, 8, 1, 3, 4, 8, 7, 8, 1, 1, 1, 1, 8, 3, 3, 1, 1, 3, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 9, 5, 1, 9, 3, 4, 8, 3, 8, 4, 9, 9, 3, 2, 4, 8, 5, 3, 3, 2, 2, 7, 9, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5},
        {6, 9, 5, 3, 3, 2, 5, 2, 5, 7, 1, 7, 1, 8, 7, 4, 9, 2, 2, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 1, 2, 9, 2, 4, 3, 6, 6, 6, 8, 5, 6, 1, 4, 9, 2, 3, 4, 2, 3, 1, 4, 9, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9},
        {3, 6, 7, 1, 6, 1, 9, 4, 2, 1, 6, 4, 8, 8, 3, 6, 4, 3, 1, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 8, 3, 2, 2, 6, 1, 3, 4, 4, 8, 6, 4, 4, 6, 1, 2, 2, 7, 5, 8, 4, 5, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4},
        {9, 7, 6, 2, 1, 2, 3, 2, 9, 4, 7, 9, 3, 6, 7, 7, 9, 9, 2, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 6, 6, 2, 3, 5, 5, 1, 4, 5, 7, 1, 4, 5, 4, 9, 5, 5, 2, 1, 5, 7, 2, 2, 7, 9, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3},
        {4, 5, 9, 7, 1, 1, 9, 2, 8, 2, 2, 8, 5, 4, 1, 9, 5, 9, 8, 8, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 5, 7, 3, 9, 2, 7, 7, 8, 5, 6, 9, 7, 5, 4, 6, 6, 9, 7, 2, 2, 6, 3, 2, 9, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7},
        {5, 9, 6, 7, 5, 8, 4, 1, 1, 6, 7, 1, 2, 6, 8, 4, 2, 4, 3, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 2, 2, 3, 6, 4, 8, 8, 8, 3, 3, 4, 9, 9, 1, 1, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4},
        {2, 7, 6, 3, 8, 9, 5, 2, 5, 3, 4, 4, 1, 4, 5, 3, 6, 9, 1, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 4, 5, 9, 1, 1, 8, 3, 9, 4, 5, 2, 4, 1, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3},
        {5, 8, 2, 1, 9, 7, 2, 4, 3, 1, 4, 3, 7, 1, 4, 7, 9, 1, 4, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 1, 7, 8, 6, 9, 1, 9, 9, 4, 1, 8, 6, 4, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 9},
        {3, 3, 8, 7, 9, 7, 3, 1, 7, 1, 2, 8, 2, 5, 2, 4, 7, 7, 2, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 4, 7, 7, 6, 1, 5, 5, 4, 2, 3, 2, 1, 9, 7, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 3},
        {3, 3, 9, 6, 2, 5, 6, 9, 4, 1, 8, 1, 7, 8, 3, 5, 6, 8, 1, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 6, 3, 3, 9, 4, 3, 5, 4, 4, 4, 5, 8, 1, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 3},
        {7, 9, 1, 4, 8, 5, 8, 4, 4, 2, 3, 6, 9, 9, 8, 2, 7, 8, 5, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 9, 1, 4, 1, 2, 3, 3, 2, 2, 1, 3, 6, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 9},
        {9, 8, 9, 3, 5, 6, 9, 2, 6, 9, 8, 4, 1, 2, 6, 4, 3, 9, 6, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 8, 9, 4, 3, 8, 8, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6},
        {6, 9, 9, 9, 4, 5, 9, 1, 2, 2, 1, 2, 3, 8, 4, 6, 4, 1, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 1, 3, 2, 5, 2, 8, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 7},
        {4, 4, 3, 1, 3, 4, 3, 3, 1, 3, 7, 8, 9, 1, 5, 7, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 8, 6, 3, 6, 1, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3},
        {2, 9, 2, 1, 5, 4, 6, 2, 9, 2, 7, 1, 3, 9, 2, 9, 8, 5, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 8, 6, 2, 5, 9, 8, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5},
        {4, 3, 7, 9, 2, 4, 3, 2, 1, 8, 2, 6, 9, 3, 4, 9, 5, 8, 3, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1},
        {6, 8, 1, 8, 7, 6, 7, 4, 3, 1, 9, 2, 1, 4, 6, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 9, 1, 5, 4, 9, 6, 6, 2, 1, 8, 1, 6, 5, 2, 6, 1, 2},
        {6, 7, 3, 4, 2, 5, 8, 9, 4, 3, 5, 3, 6, 2, 8, 3, 7, 9, 1, 1, 2, 2, 5, 4, 4, 9, 1, 5, 9, 8, 1, 8, 8, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 1, 8, 8, 6, 7, 3, 6, 1, 1, 6, 7, 2, 8, 3, 5, 7, 1, 7},
        {7, 5, 8, 8, 7, 9, 9, 5, 2, 8, 6, 5, 7, 4, 6, 3, 6, 4, 9, 2, 9, 6, 6, 9, 5, 7, 9, 1, 6, 5, 5, 3, 5, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 4, 8, 8, 5, 8, 3, 7, 2, 2, 9, 4, 1, 3, 3, 1, 7, 7, 8},
        {9, 7, 8, 9, 9, 1, 3, 5, 8, 5, 8, 7, 8, 6, 2, 8, 1, 3, 2, 5, 3, 3, 4, 9, 4, 8, 5, 5, 4, 4, 2, 9, 8, 9, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 9, 1, 4, 4, 5, 9, 6, 2, 8, 9, 8, 5, 2, 7, 6, 7, 4},
        {4, 5, 6, 8, 4, 6, 7, 6, 1, 6, 8, 8, 6, 7, 5, 8, 3, 6, 3, 4, 8, 7, 3, 1, 2, 5, 3, 4, 6, 4, 2, 9, 3, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 9, 3, 1, 6, 4, 3, 1, 4, 9, 9, 6, 8, 7, 9, 1, 4, 9, 3},
        {3, 1, 5, 4, 4, 7, 3, 9, 6, 2, 7, 1, 5, 2, 2, 9, 2, 9, 7, 1, 4, 8, 3, 9, 6, 8, 9, 1, 6, 3, 3, 1, 1, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 3},
        {3, 7, 4, 2, 8, 2, 5, 3, 9, 2, 5, 7, 3, 3, 1, 9, 1, 5, 9, 4, 2, 8, 7, 4, 9, 6, 1, 8, 8, 4, 4, 4, 3, 7, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8, 5},
        {8, 4, 1, 8, 7, 4, 9, 7, 6, 2, 3, 3, 6, 2, 7, 9, 3, 8, 9, 8, 7, 8, 8, 2, 7, 5, 9, 1, 3, 7, 6, 3, 6, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 6},
        {5, 4, 8, 9, 8, 2, 1, 5, 2, 8, 6, 6, 8, 8, 7, 7, 9, 5, 2, 9, 7, 7, 9, 4, 5, 2, 8, 3, 4, 2, 1, 5, 1, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4},
        {2, 7, 8, 5, 8, 9, 7, 4, 1, 9, 7, 4, 5, 2, 7, 2, 3, 5, 6, 3, 5, 3, 9, 6, 4, 8, 2, 2, 5, 7, 3, 1, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 1},
        {4, 3, 2, 1, 8, 2, 9, 6, 2, 9, 5, 7, 2, 2, 7, 8, 2, 2, 4, 4, 8, 3, 8, 1, 4, 4, 7, 2, 4, 9, 8, 7, 6, 1, 7, 3, 2, 5, 6, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 2},
        {9, 6, 2, 3, 7, 5, 4, 9, 1, 6, 8, 7, 3, 8, 3, 7, 4, 1, 7, 2, 3, 8, 5, 3, 4, 5, 1, 6, 3, 7, 6, 1, 6, 9, 9, 5, 4, 6, 4, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 1},
        {6, 9, 2, 9, 1, 1, 3, 6, 2, 7, 7, 5, 3, 8, 3, 2, 1, 7, 5, 1, 8, 8, 9, 5, 1, 2, 1, 7, 9, 4, 7, 6, 2, 6, 7, 2, 1, 1, 2, 3, 5, 4, 5, 6, 3, 5, 4, 4, 5, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5},
        {9, 8, 4, 3, 3, 4, 1, 6, 7, 9, 3, 7, 7, 2, 3, 5, 4, 8, 7, 8, 5, 4, 1, 8, 2, 7, 6, 7, 7, 1, 4, 6, 3, 4, 6, 9, 1, 6, 7, 3, 2, 6, 2, 6, 9, 7, 5, 7, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4},
        {4, 6, 3, 8, 8, 3, 9, 9, 1, 3, 2, 2, 8, 9, 2, 7, 5, 9, 2, 3, 1, 2, 8, 4, 8, 5, 8, 6, 1, 6, 8, 1, 5, 9, 5, 6, 2, 9, 9, 1, 4, 4, 4, 6, 6, 2, 5, 8, 4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 1},
        {6, 5, 2, 7, 6, 8, 6, 6, 5, 5, 2, 5, 1, 5, 4, 7, 1, 1, 5, 1, 8, 7, 4, 7, 2, 7, 5, 7, 2, 1, 3, 8, 3, 3, 7, 4, 1, 9, 8, 4, 4, 6, 3, 8, 3, 9, 1, 1, 7, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 2, 9, 9, 2, 7, 9, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 1},
        {8, 9, 2, 3, 7, 8, 4, 9, 7, 7, 1, 1, 2, 5, 7, 8, 6, 8, 6, 4, 1, 1, 7, 3, 7, 8, 8, 6, 5, 2, 5, 2, 8, 1, 7, 2, 1, 3, 5, 8, 3, 1, 3, 4, 7, 7, 2, 4, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 6, 1, 1, 2, 7, 1, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5},
        {8, 2, 4, 7, 1, 6, 9, 5, 1, 8, 5, 1, 1, 6, 5, 2, 8, 7, 1, 9, 3, 4, 5, 7, 9, 6, 6, 5, 1, 2, 6, 1, 5, 3, 2, 6, 6, 7, 3, 7, 5, 9, 7, 4, 5, 7, 1, 3, 5, 3, 6, 1, 8, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 3, 5, 5, 2, 6, 2, 6, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 7},
        {9, 3, 9, 7, 6, 3, 8, 5, 5, 6, 7, 8, 2, 2, 7, 8, 9, 4, 6, 7, 9, 1, 8, 4, 7, 6, 1, 8, 7, 4, 9, 6, 6, 8, 5, 8, 7, 5, 5, 3, 4, 6, 5, 6, 8, 5, 9, 6, 8, 4, 8, 6, 5, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 1, 9, 3, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 4},
        {4, 6, 2, 8, 6, 4, 4, 7, 8, 1, 2, 6, 3, 6, 5, 6, 3, 2, 8, 5, 4, 9, 5, 1, 8, 7, 8, 5, 2, 8, 2, 5, 1, 1, 8, 1, 6, 7, 1, 2, 7, 4, 9, 1, 7, 9, 4, 5, 1, 5, 6, 4, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 1, 5, 1, 3, 2, 7, 9, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 2},
        {2, 9, 6, 4, 9, 6, 4, 1, 9, 6, 1, 8, 8, 8, 6, 5, 9, 1, 8, 5, 3, 7, 7, 6, 5, 1, 6, 4, 4, 1, 1, 6, 7, 6, 5, 9, 3, 7, 1, 6, 1, 3, 5, 2, 5, 7, 3, 5, 5, 7, 3, 3, 3, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 5, 9, 5, 2, 5, 4, 1, 9, 9, 7, 5, 3, 3, 9, 5, 5, 3, 3, 1, 4, 1, 4, 7, 1, 9, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 9},
        {1, 9, 6, 6, 3, 1, 8, 4, 1, 5, 4, 6, 6, 9, 1, 5, 8, 4, 1, 4, 4, 9, 6, 5, 3, 9, 5, 2, 9, 8, 7, 7, 6, 5, 8, 3, 8, 6, 8, 6, 4, 1, 3, 9, 5, 6, 6, 5, 6, 9, 4, 4, 9, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 2, 9, 8, 8, 6, 7, 7, 9, 9, 7, 1, 4, 4, 5, 8, 6, 5, 1, 7, 1, 4, 9, 4, 4, 4, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 6},
        {3, 3, 9, 4, 9, 2, 6, 3, 8, 8, 3, 8, 7, 2, 2, 6, 8, 4, 9, 6, 6, 8, 4, 3, 2, 8, 8, 5, 7, 6, 3, 8, 8, 5, 2, 8, 3, 3, 7, 1, 4, 9, 2, 8, 2, 9, 8, 1, 1, 5, 9, 1, 3, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 5, 5, 6, 6, 8, 6, 4, 3, 2, 6, 2, 1, 3, 6, 4, 2, 9, 1, 7, 2, 7, 4, 2, 4, 1, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8},
        {3, 9, 4, 6, 2, 5, 7, 3, 7, 7, 6, 2, 5, 5, 5, 1, 7, 8, 2, 2, 9, 5, 8, 6, 7, 4, 5, 3, 1, 4, 1, 8, 7, 5, 5, 5, 4, 1, 9, 2, 9, 5, 6, 1, 8, 8, 7, 6, 2, 1, 1, 7, 1, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 3, 8, 1, 5, 7, 6, 8, 8, 4, 3, 2, 8, 2, 7, 2, 8, 7, 1, 9, 3, 7, 7, 8, 8, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 9, 8},
        {9, 9, 9, 3, 5, 4, 6, 1, 7, 9, 6, 7, 7, 2, 6, 1, 2, 4, 7, 9, 4, 7, 2, 8, 9, 5, 1, 6, 6, 9, 8, 5, 3, 8, 2, 3, 3, 5, 8, 7, 1, 4, 8, 9, 3, 7, 3, 4, 7, 7, 7, 4, 2, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 5, 7, 4, 7, 9, 8, 5, 7, 2, 5, 6, 6, 1, 4, 2, 9, 2, 3, 9, 2, 3, 6, 7, 7, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 6},
        {9, 8, 8, 8, 1, 3, 5, 7, 8, 3, 2, 2, 1, 2, 6, 1, 4, 8, 6, 4, 5, 3, 9, 8, 8, 4, 8, 3, 1, 4, 2, 8, 8, 8, 2, 1, 6, 2, 4, 2, 9, 9, 6, 2, 3, 5, 8, 8, 2, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 1, 8, 3, 7, 1, 5, 1, 1, 2, 9, 4, 9, 9, 9, 1, 9, 4, 5, 5, 5, 4, 7, 5, 2, 1, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 1},
        {3, 9, 4, 6, 8, 4, 8, 8, 5, 5, 4, 8, 6, 6, 9, 4, 4, 4, 6, 9, 9, 8, 7, 2, 7, 9, 8, 9, 7, 9, 7, 7, 7, 2, 8, 2, 9, 4, 8, 6, 9, 5, 8, 3, 1, 9, 7, 7, 7, 5, 1, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 5, 3, 2, 7, 8, 6, 4, 4, 4, 2, 4, 3, 9, 6, 1, 1, 2, 5, 8, 4, 5, 9, 3, 4, 9, 6, 1, 4, 7, 5, 7, 7, 3, 4, 4, 7, 8, 8, 5, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 4},
        {1, 7, 1, 7, 8, 1, 2, 4, 5, 8, 1, 7, 2, 1, 8, 2, 6, 6, 4, 9, 6, 2, 1, 7, 9, 1, 3, 8, 9, 7, 7, 3, 6, 6, 1, 2, 2, 2, 3, 1, 6, 2, 7, 4, 5, 1, 3, 4, 2, 4, 1, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 6, 5, 1, 6, 8, 4, 3, 4, 3, 3, 1, 2, 6, 5, 7, 9, 6, 9, 5, 4, 2, 7, 1, 6, 2, 6, 8, 1, 6, 8, 3, 1, 6, 8, 3, 4, 8, 8, 5, 9, 3, 2, 8, 1, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 1},
        {5, 1, 3, 7, 6, 3, 8, 3, 7, 9, 1, 7, 8, 4, 6, 4, 6, 6, 6, 1, 4, 2, 3, 1, 7, 8, 4, 8, 6, 3, 8, 2, 5, 9, 9, 7, 2, 8, 7, 7, 8, 3, 1, 5, 9, 8, 5, 2, 1, 3, 2, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 4, 2, 4, 3, 6, 8, 1, 6, 1, 5, 5, 7, 3, 3, 9, 3, 9, 9, 5, 7, 6, 9, 4, 1, 7, 5, 7, 8, 5, 3, 5, 8, 1, 7, 6, 6, 9, 9, 3, 6, 4, 6, 8, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7},
        {3, 9, 4, 2, 9, 5, 7, 4, 5, 5, 4, 2, 5, 4, 9, 3, 2, 3, 4, 2, 1, 3, 8, 3, 4, 3, 7, 6, 7, 2, 5, 1, 1, 5, 9, 5, 1, 8, 5, 1, 4, 3, 1, 5, 3, 5, 6, 9, 5, 6, 9, 8, 9, 2, 7, 8, 1, 2, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 5, 4, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 2, 6, 3, 5, 3, 1, 8, 2, 6, 2, 6, 8, 7, 2, 9, 6, 6, 2, 9, 1, 4, 6, 7, 9, 7, 8, 3, 1, 1, 6, 4, 1, 3, 8, 4, 1, 4, 6, 4, 5, 9, 1, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 7, 4, 9, 6, 5, 1, 1, 3, 1, 9, 6, 2, 5, 6, 3, 8, 8},
        {4, 7, 7, 9, 9, 6, 9, 5, 6, 8, 7, 7, 8, 4, 1, 5, 3, 8, 9, 2, 3, 4, 5, 6, 8, 8, 9, 2, 9, 6, 8, 5, 9, 8, 7, 3, 9, 9, 5, 7, 7, 7, 5, 9, 1, 4, 3, 9, 9, 1, 1, 9, 9, 3, 7, 2, 2, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 8, 3, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 6, 9, 4, 8, 6, 9, 8, 1, 5, 8, 3, 4, 7, 5, 4, 4, 3, 4, 6, 7, 1, 2, 6, 6, 4, 4, 7, 4, 3, 3, 8, 7, 8, 6, 9, 3, 9, 1, 3, 8, 1, 6, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 4, 8, 4, 5, 3, 1, 7, 8, 7, 4, 1, 9, 7, 6, 4, 8},
        {4, 6, 1, 9, 8, 8, 4, 6, 8, 6, 1, 7, 9, 6, 4, 1, 3, 4, 1, 5, 7, 4, 5, 2, 6, 2, 1, 8, 1, 4, 3, 8, 3, 8, 3, 7, 6, 3, 8, 5, 9, 2, 3, 3, 4, 2, 8, 2, 3, 1, 5, 1, 6, 1, 2, 4, 7, 7, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 1, 3, 4, 3, 9, 6, 8, 3, 2, 9, 8, 1, 7, 4, 3, 7, 2, 8, 1, 9, 9, 9, 1, 8, 9, 3, 2, 6, 1, 5, 2, 9, 3, 9, 7, 6, 5, 7, 2, 6, 1, 3, 3, 9, 7, 3, 5, 1, 2, 3, 3, 3, 5, 4, 7, 5, 2, 8, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 6, 5, 2, 8, 4, 1, 5, 2, 2, 4, 3, 4, 2, 5, 2},
        {8, 4, 8, 9, 5, 3, 9, 4, 2, 5, 5, 5, 1, 7, 2, 8, 6, 8, 5, 6, 8, 1, 1, 6, 1, 7, 3, 1, 1, 4, 2, 1, 4, 6, 5, 5, 5, 5, 8, 2, 1, 2, 9, 1, 6, 9, 9, 4, 5, 9, 4, 8, 4, 4, 8, 2, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 2, 6, 4, 7, 8, 5, 4, 5, 3, 5, 8, 4, 5, 9, 7, 6, 8, 6, 2, 3, 9, 3, 4, 9, 5, 5, 1, 6, 6, 5, 9, 5, 4, 7, 1, 6, 8, 6, 3, 4, 9, 5, 9, 3, 5, 5, 9, 7, 9, 3, 3, 2, 3, 3, 8, 6, 8, 5, 8, 6, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 1, 9, 8, 9, 4, 3, 9, 4, 4, 9, 9, 9, 2, 8, 5, 8, 7},
        {8, 5, 6, 1, 3, 3, 3, 2, 1, 4, 3, 8, 3, 7, 8, 6, 6, 1, 2, 1, 2, 1, 4, 5, 7, 7, 1, 8, 3, 1, 6, 4, 7, 6, 5, 4, 6, 5, 3, 7, 1, 6, 9, 7, 4, 7, 3, 7, 8, 3, 6, 7, 3, 5, 7, 5, 8, 5, 7, 2, 2, 5, 4, 8, 2, 6, 6, 8, 5, 1, 8, 4, 8, 4, 9, 7, 5, 9, 1, 4, 2, 1, 1, 6, 6, 8, 9, 4, 7, 5, 1, 3, 7, 4, 3, 5, 3, 9, 9, 9, 9, 9, 7, 4, 2, 7, 8, 5, 4, 8, 6, 4, 4, 9, 8, 8, 2, 5, 1, 4, 9, 5, 7, 4, 1, 2, 7, 8, 2, 5, 1, 3, 2, 9, 6, 4, 3, 8, 7, 6, 5, 5, 5, 1, 7, 1, 8, 5, 5, 5, 1, 5, 5, 8, 3, 8, 9, 4, 4, 2, 1, 1, 5, 4, 4, 5, 3, 2, 8, 5, 5, 6, 1, 2, 7, 3, 1, 3, 3, 6, 9, 7, 6},
        {9, 9, 7, 9, 7, 1, 3, 6, 5, 1, 3, 6, 6, 7, 3, 1, 2, 1, 1, 7, 4, 6, 5, 5, 8, 4, 7, 7, 4, 4, 1, 7, 7, 5, 4, 2, 8, 3, 3, 4, 8, 5, 8, 2, 8, 1, 6, 7, 6, 8, 2, 4, 3, 9, 7, 3, 7, 6, 6, 5, 2, 9, 7, 3, 7, 1, 7, 1, 4, 5, 6, 2, 2, 1, 1, 2, 1, 2, 4, 5, 3, 5, 8, 7, 4, 6, 6, 7, 4, 3, 6, 3, 5, 9, 8, 2, 3, 9, 4, 3, 2, 6, 8, 6, 9, 9, 4, 3, 4, 5, 6, 8, 2, 1, 7, 7, 7, 4, 7, 2, 2, 1, 4, 1, 7, 5, 7, 2, 7, 7, 1, 1, 1, 9, 9, 1, 5, 5, 8, 7, 5, 9, 3, 5, 3, 6, 1, 3, 1, 4, 4, 7, 4, 8, 9, 6, 9, 5, 4, 5, 2, 3, 1, 9, 6, 2, 1, 5, 9, 1, 9, 5, 5, 6, 4, 2, 6, 6, 1, 9, 3, 7, 6},
        {7, 1, 5, 7, 4, 2, 2, 3, 3, 9, 9, 6, 9, 9, 7, 7, 1, 1, 1, 6, 9, 7, 9, 3, 5, 4, 5, 7, 5, 3, 7, 6, 4, 8, 3, 6, 4, 1, 6, 6, 2, 8, 2, 8, 8, 8, 3, 4, 5, 5, 6, 7, 9, 2, 9, 4, 3, 7, 7, 1, 7, 3, 7, 8, 4, 3, 4, 8, 4, 7, 2, 3, 5, 5, 4, 6, 8, 4, 3, 5, 2, 5, 8, 5, 1, 3, 2, 7, 7, 5, 4, 5, 3, 7, 2, 5, 7, 4, 7, 2, 6, 6, 8, 5, 7, 5, 9, 3, 6, 6, 4, 6, 2, 2, 4, 6, 7, 2, 8, 6, 4, 4, 7, 5, 4, 6, 1, 3, 8, 5, 6, 4, 4, 4, 5, 5, 6, 3, 7, 7, 6, 9, 5, 1, 4, 4, 9, 4, 1, 7, 3, 4, 1, 4, 3, 3, 4, 3, 3, 3, 8, 6, 3, 9, 2, 8, 2, 3, 7, 4, 4, 8, 4, 8, 2, 6, 4, 6, 8, 9, 8, 5, 6},
        {2, 2, 3, 4, 9, 8, 4, 1, 5, 6, 5, 1, 5, 1, 9, 1, 2, 3, 6, 3, 2, 7, 6, 4, 5, 4, 5, 7, 3, 6, 3, 5, 4, 9, 9, 8, 2, 8, 1, 6, 5, 5, 8, 3, 6, 8, 1, 1, 5, 1, 1, 6, 9, 9, 6, 4, 7, 4, 2, 1, 4, 3, 2, 9, 8, 6, 5, 7, 5, 2, 3, 2, 6, 7, 6, 9, 3, 4, 6, 2, 2, 6, 3, 6, 8, 8, 6, 8, 8, 9, 7, 9, 7, 1, 1, 6, 9, 9, 8, 3, 7, 2, 8, 7, 8, 3, 6, 5, 1, 2, 7, 9, 9, 2, 7, 1, 3, 6, 3, 8, 4, 5, 4, 9, 6, 1, 7, 5, 9, 1, 9, 9, 3, 2, 2, 6, 8, 6, 5, 8, 3, 6, 1, 2, 8, 5, 6, 1, 9, 8, 5, 7, 7, 6, 7, 9, 5, 1, 9, 2, 2, 1, 2, 9, 2, 5, 3, 9, 7, 1, 7, 5, 6, 7, 3, 4, 1, 2, 8, 8, 8, 1, 8}
    };
    calculate((unsigned int*) altitude_map_19, 98, 183);
    printf("\n");


    printf("TEST: altitude_map_20\n");
    printf("EXPECTING: contains a 26x26 grid of 3s at (43 , 71)\n");
    unsigned int altitude_map_20[103][188] = {
        {9, 9, 2, 8, 1, 4, 4, 3, 8, 1, 6, 2, 8, 3, 9, 7, 5, 9, 8, 1, 1, 7, 2, 5, 4, 8, 6, 1, 6, 2, 1, 1, 1, 6, 9, 1, 6, 3, 8, 6, 4, 1, 2, 1, 3, 1, 1, 9, 8, 6, 8, 1, 1, 7, 6, 8, 6, 1, 5, 9, 6, 8, 7, 9, 5, 4, 9, 1, 3, 8, 2, 9, 3, 5, 6, 5, 5, 1, 9, 5, 9, 1, 2, 4, 3, 7, 6, 9, 4, 9, 5, 5, 7, 4, 9, 1, 4, 6, 5, 5, 6, 8, 1, 8, 9, 1, 3, 3, 4, 9, 6, 7, 7, 3, 6, 5, 2, 9, 7, 5, 8, 5, 5, 6, 6, 9, 5, 9, 4, 5, 4, 2, 1, 5, 9, 5, 8, 4, 2, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 3, 2, 7, 4, 9, 8, 6, 8, 8, 5, 2, 3, 1, 7, 8, 7, 7, 3, 8, 7, 6, 9, 3, 2, 3},
        {6, 8, 9, 2, 8, 3, 2, 4, 3, 8, 1, 1, 6, 8, 8, 4, 6, 1, 2, 7, 9, 1, 1, 2, 3, 3, 2, 3, 6, 9, 7, 5, 4, 3, 2, 7, 9, 3, 9, 9, 2, 1, 7, 4, 2, 7, 6, 4, 4, 9, 6, 8, 1, 5, 1, 3, 5, 7, 5, 5, 9, 2, 3, 3, 1, 5, 6, 5, 3, 9, 6, 3, 4, 6, 8, 6, 7, 5, 7, 6, 5, 5, 2, 8, 7, 9, 1, 9, 6, 1, 1, 5, 4, 7, 5, 7, 3, 3, 8, 5, 8, 5, 1, 9, 6, 7, 1, 5, 4, 6, 9, 9, 5, 8, 7, 5, 9, 5, 4, 5, 8, 4, 6, 3, 8, 8, 7, 8, 4, 2, 4, 4, 9, 7, 8, 7, 9, 7, 3, 9, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, 7, 3, 1, 1, 8, 3, 2, 9, 7, 5, 6, 5, 1, 1, 4, 7, 5, 7, 1, 5, 8, 8, 8, 4},
        {6, 4, 8, 5, 1, 4, 2, 5, 7, 5, 3, 4, 3, 1, 4, 2, 4, 9, 5, 6, 5, 7, 1, 9, 1, 5, 3, 3, 8, 8, 1, 8, 8, 6, 6, 6, 5, 2, 6, 8, 9, 1, 4, 3, 4, 3, 5, 4, 4, 6, 3, 6, 3, 9, 5, 8, 3, 8, 5, 6, 8, 6, 2, 6, 8, 2, 5, 5, 2, 2, 9, 8, 1, 3, 1, 8, 8, 5, 8, 9, 5, 7, 2, 8, 9, 2, 7, 9, 8, 5, 4, 1, 3, 3, 4, 4, 1, 1, 1, 8, 2, 2, 6, 3, 5, 8, 6, 5, 3, 7, 4, 4, 6, 1, 3, 3, 2, 4, 8, 6, 1, 4, 1, 3, 6, 3, 9, 3, 3, 6, 7, 5, 3, 2, 4, 2, 9, 9, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 7, 1, 1, 9, 2, 5, 1, 7, 8, 6, 3, 3, 8, 8, 6, 2, 6, 9, 9, 1, 4, 9, 4, 3, 1},
        {2, 2, 9, 9, 7, 5, 2, 4, 1, 8, 8, 7, 7, 4, 5, 8, 5, 9, 8, 5, 8, 1, 4, 9, 7, 8, 1, 3, 8, 1, 8, 6, 8, 6, 4, 7, 5, 2, 7, 6, 4, 6, 4, 4, 9, 3, 5, 2, 7, 3, 6, 8, 2, 1, 2, 4, 7, 2, 1, 5, 2, 2, 6, 9, 2, 9, 9, 7, 8, 8, 8, 1, 2, 5, 8, 4, 2, 6, 3, 4, 5, 5, 1, 2, 1, 5, 6, 8, 2, 9, 9, 6, 1, 6, 2, 7, 4, 8, 6, 8, 6, 2, 4, 1, 2, 5, 2, 5, 2, 8, 1, 7, 3, 9, 6, 9, 3, 8, 5, 9, 2, 5, 1, 7, 6, 9, 4, 6, 8, 7, 1, 3, 7, 7, 3, 1, 1, 3, 4, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 9, 3, 9, 2, 8, 3, 6, 7, 2, 2, 9, 3, 6, 9, 3, 4, 9, 5, 6, 9, 7, 4, 6, 9},
        {9, 8, 2, 6, 3, 9, 2, 6, 2, 8, 3, 5, 4, 5, 5, 5, 1, 4, 7, 8, 2, 3, 1, 4, 4, 9, 7, 4, 6, 2, 6, 8, 4, 2, 8, 8, 7, 9, 7, 1, 5, 2, 1, 8, 4, 2, 2, 7, 9, 9, 3, 5, 1, 1, 6, 3, 9, 3, 1, 2, 1, 4, 8, 3, 1, 2, 7, 8, 5, 6, 5, 3, 6, 2, 4, 5, 7, 2, 9, 6, 3, 6, 7, 5, 5, 1, 4, 4, 3, 8, 5, 3, 7, 6, 1, 4, 7, 5, 3, 1, 8, 3, 8, 1, 1, 5, 2, 7, 6, 8, 8, 1, 4, 7, 2, 7, 1, 9, 7, 6, 8, 4, 9, 5, 4, 5, 3, 7, 8, 1, 8, 2, 1, 5, 6, 9, 3, 8, 5, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 6, 8, 8, 2, 6, 6, 1, 4, 6, 9, 9, 4, 7, 1, 7, 7, 1, 4, 2, 5, 9, 1, 8, 6},
        {4, 1, 8, 1, 6, 4, 4, 5, 6, 5, 2, 5, 1, 3, 7, 8, 3, 8, 2, 3, 3, 6, 2, 1, 2, 4, 1, 1, 8, 9, 9, 1, 6, 6, 7, 2, 6, 4, 3, 5, 1, 1, 9, 4, 6, 1, 4, 5, 3, 3, 3, 6, 3, 9, 6, 1, 3, 2, 3, 6, 1, 3, 2, 1, 8, 6, 1, 4, 8, 4, 2, 5, 4, 4, 8, 9, 6, 7, 7, 9, 9, 4, 4, 9, 9, 1, 3, 8, 8, 4, 1, 2, 7, 3, 5, 4, 7, 7, 9, 4, 5, 6, 9, 3, 6, 2, 2, 4, 5, 7, 4, 7, 9, 2, 2, 2, 1, 8, 5, 1, 5, 5, 9, 8, 6, 3, 6, 6, 1, 3, 7, 6, 5, 5, 1, 7, 7, 1, 1, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 6, 7, 2, 9, 2, 3, 9, 5, 9, 5, 9, 1, 8, 8, 3, 7, 1, 1, 7, 2, 4, 1, 6, 6, 7},
        {8, 1, 2, 2, 9, 5, 5, 2, 2, 7, 6, 6, 6, 3, 4, 4, 3, 9, 7, 9, 4, 1, 2, 4, 6, 6, 8, 3, 1, 7, 6, 3, 3, 3, 6, 8, 2, 5, 6, 6, 2, 4, 9, 9, 9, 8, 9, 2, 5, 4, 8, 5, 4, 4, 1, 8, 1, 3, 1, 7, 2, 5, 7, 5, 6, 6, 2, 4, 5, 4, 3, 9, 1, 3, 5, 1, 5, 6, 9, 2, 4, 7, 8, 4, 9, 1, 1, 4, 5, 4, 5, 3, 3, 3, 6, 9, 1, 3, 7, 6, 4, 7, 6, 6, 8, 9, 5, 8, 3, 9, 6, 9, 5, 8, 2, 9, 8, 5, 1, 9, 3, 6, 9, 6, 4, 8, 9, 5, 8, 4, 2, 1, 9, 7, 5, 1, 6, 2, 1, 6, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 7, 9, 2, 4, 9, 1, 3, 6, 5, 7, 8, 7, 6, 4, 1, 6, 2, 7, 4, 5, 7, 5, 4, 7, 5},
        {5, 3, 1, 4, 7, 5, 5, 6, 2, 2, 3, 9, 3, 9, 8, 4, 1, 2, 3, 7, 1, 6, 8, 6, 8, 2, 4, 3, 8, 7, 1, 3, 8, 4, 5, 9, 8, 7, 9, 3, 9, 1, 4, 9, 6, 9, 2, 9, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 5, 9, 3, 7, 6, 2, 3, 2, 5, 7, 2, 5, 9, 6, 3, 9, 6, 6, 6, 3, 4, 6, 5, 2, 9, 7, 6, 8, 2, 9, 4, 1, 7, 3, 6, 2, 4, 9, 3, 1, 3, 1, 5, 5, 5, 3, 8, 8, 2, 5, 5, 3, 2, 3, 1, 3, 7, 5, 7, 3, 7, 9, 8, 2, 6, 9, 2, 9, 4, 8, 8, 9, 1, 9, 4, 1, 7, 3, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 6, 6, 6, 6, 5, 1, 7, 7, 7, 1, 2, 1, 1, 5, 1, 9, 9, 2, 4, 5, 7, 6, 5},
        {1, 4, 2, 5, 6, 3, 5, 5, 7, 4, 8, 7, 2, 6, 4, 6, 6, 8, 8, 9, 1, 4, 8, 8, 4, 5, 5, 2, 5, 5, 3, 8, 2, 9, 7, 2, 7, 1, 3, 7, 9, 3, 9, 9, 2, 4, 3, 3, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 1, 7, 6, 4, 7, 7, 4, 5, 8, 2, 2, 6, 7, 4, 7, 7, 6, 2, 2, 2, 7, 3, 6, 5, 4, 2, 8, 5, 8, 2, 3, 3, 5, 1, 3, 9, 5, 6, 9, 1, 8, 6, 4, 2, 8, 7, 6, 2, 4, 5, 4, 6, 6, 4, 9, 3, 3, 2, 7, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 9, 9, 3, 6, 1, 2, 4, 4, 3, 2, 9, 4, 1, 4, 3, 9, 4, 1, 6, 6, 6, 8, 2, 3},
        {5, 1, 2, 4, 9, 7, 6, 5, 6, 2, 8, 5, 7, 6, 1, 6, 4, 5, 5, 8, 3, 5, 1, 1, 9, 4, 2, 6, 8, 6, 8, 7, 9, 2, 7, 2, 6, 3, 8, 8, 8, 4, 9, 8, 6, 7, 2, 4, 6, 6, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 7, 9, 3, 4, 8, 9, 7, 4, 3, 5, 9, 4, 6, 4, 1, 3, 1, 1, 7, 9, 5, 5, 7, 3, 9, 1, 6, 7, 3, 2, 1, 7, 1, 7, 7, 4, 1, 5, 7, 9, 9, 6, 1, 7, 5, 9, 6, 9, 8, 5, 5, 9, 1, 2, 3, 3, 8, 3, 3, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 6, 4, 9, 1, 7, 5, 2, 7, 2, 6, 1, 5, 4, 5, 8, 6, 6, 8, 9, 2, 9, 1, 4},
        {8, 9, 6, 5, 5, 2, 6, 1, 5, 7, 6, 7, 2, 5, 1, 5, 4, 3, 4, 6, 7, 8, 5, 1, 6, 5, 7, 3, 9, 9, 7, 9, 7, 5, 3, 8, 1, 3, 4, 9, 7, 7, 9, 3, 1, 9, 2, 1, 3, 3, 9, 9, 3, 5, 5, 5, 5, 5, 5, 3, 4, 3, 9, 6, 4, 6, 4, 5, 7, 9, 1, 9, 1, 9, 8, 4, 3, 2, 3, 6, 1, 4, 6, 2, 7, 9, 3, 9, 1, 5, 5, 3, 2, 6, 8, 3, 1, 4, 1, 8, 5, 5, 2, 6, 3, 9, 2, 5, 2, 8, 4, 7, 1, 9, 9, 1, 4, 7, 9, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 5, 1, 5, 8, 2, 1, 2, 8, 2, 6, 9, 8, 3, 5, 2, 2, 8, 2, 3, 8, 1, 8, 9, 6, 6},
        {8, 8, 9, 6, 4, 9, 7, 8, 4, 1, 2, 1, 4, 1, 1, 7, 6, 7, 3, 7, 1, 7, 6, 1, 9, 9, 9, 6, 8, 1, 6, 1, 8, 8, 8, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5, 5, 2, 8, 6, 3, 6, 4, 5, 5, 5, 5, 5, 5, 4, 1, 2, 3, 8, 1, 9, 7, 2, 7, 5, 3, 4, 8, 2, 1, 2, 8, 2, 9, 5, 9, 7, 6, 1, 3, 1, 4, 5, 8, 9, 2, 4, 9, 5, 5, 7, 3, 4, 1, 4, 8, 5, 5, 3, 1, 9, 3, 8, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 8, 8, 9, 6, 2, 3, 8, 8, 7, 8, 7, 3, 6, 1, 7, 2, 1, 8, 4, 9, 7, 8, 7, 8, 5},
        {1, 2, 7, 1, 2, 8, 8, 4, 7, 9, 1, 4, 7, 8, 1, 7, 1, 6, 1, 8, 9, 9, 5, 1, 5, 1, 9, 6, 9, 9, 2, 1, 9, 4, 9, 7, 8, 1, 1, 1, 1, 1, 1, 1, 6, 2, 8, 2, 2, 8, 9, 1, 2, 5, 5, 5, 5, 5, 5, 2, 4, 4, 6, 9, 3, 5, 1, 9, 8, 7, 7, 5, 7, 6, 5, 1, 3, 3, 2, 4, 2, 6, 6, 6, 4, 6, 6, 2, 4, 4, 1, 5, 5, 9, 8, 2, 2, 2, 3, 9, 5, 1, 5, 1, 6, 7, 3, 3, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 5, 7, 4, 6, 7, 4, 8, 6, 2, 3, 1, 2, 1, 8, 8, 5, 2, 2, 5, 7, 7, 8, 4, 8, 6},
        {1, 1, 3, 7, 3, 7, 9, 9, 4, 3, 5, 7, 9, 8, 7, 1, 2, 4, 6, 6, 6, 1, 8, 6, 5, 2, 3, 4, 9, 1, 2, 4, 9, 6, 2, 9, 5, 1, 1, 1, 1, 1, 1, 1, 5, 7, 4, 1, 6, 9, 6, 2, 9, 5, 9, 3, 5, 8, 6, 6, 2, 5, 3, 4, 5, 8, 2, 7, 7, 2, 7, 3, 3, 8, 6, 5, 8, 3, 8, 3, 1, 7, 9, 6, 4, 5, 3, 8, 5, 7, 1, 8, 6, 1, 6, 4, 2, 7, 8, 4, 3, 2, 3, 7, 2, 2, 9, 5, 8, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 7, 2, 1, 1, 7, 4, 5, 7, 8, 7, 4, 2, 9, 8, 9, 4, 1, 9, 3, 8, 7, 8, 7},
        {7, 8, 4, 6, 8, 3, 9, 6, 5, 8, 5, 9, 6, 8, 4, 9, 3, 3, 7, 2, 7, 9, 6, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 8, 8, 9, 6, 9, 3, 3, 2, 8, 2, 8, 6, 8, 1, 4, 3, 5, 6, 3, 2, 4, 1, 8, 1, 7, 5, 2, 2, 4, 5, 3, 1, 2, 7, 5, 6, 4, 5, 7, 7, 5, 7, 7, 4, 9, 6, 4, 4, 4, 5, 7, 1, 9, 7, 9, 5, 5, 9, 3, 7, 2, 6, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 8, 2, 6, 3, 6, 4, 9, 9, 2, 9, 2, 9, 3, 5, 1, 7, 8, 9, 9, 8, 5, 7, 1, 8, 3},
        {6, 1, 6, 7, 6, 2, 3, 6, 8, 5, 3, 7, 5, 3, 5, 2, 6, 3, 2, 9, 7, 8, 4, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 5, 5, 5, 8, 7, 3, 2, 3, 7, 8, 4, 3, 2, 5, 5, 8, 4, 1, 7, 3, 9, 7, 8, 7, 1, 9, 8, 3, 3, 3, 1, 4, 4, 6, 1, 2, 7, 5, 8, 6, 2, 7, 7, 4, 9, 1, 7, 1, 2, 3, 1, 3, 9, 6, 6, 8, 1, 9, 1, 8, 7, 7, 6, 3, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 9, 6, 9, 9, 7, 3, 1, 8, 4, 8, 6, 6, 3, 2, 7, 3, 8, 1, 9, 1, 7, 2},
        {7, 3, 5, 9, 8, 4, 3, 6, 2, 8, 3, 1, 6, 1, 2, 5, 8, 7, 1, 5, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 7, 1, 7, 7, 8, 1, 8, 1, 3, 4, 9, 8, 9, 7, 6, 4, 7, 6, 4, 3, 9, 2, 3, 7, 9, 1, 2, 1, 2, 5, 2, 4, 4, 5, 9, 1, 5, 5, 6, 5, 4, 5, 2, 8, 2, 8, 8, 9, 7, 8, 7, 9, 2, 8, 3, 8, 4, 5, 7, 3, 1, 9, 7, 8, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 3, 9, 6, 2, 6, 1, 3, 2, 5, 1, 4, 9, 7, 2, 6, 7, 6, 6, 2, 8, 4, 3, 9, 8},
        {1, 8, 8, 1, 9, 4, 8, 6, 5, 9, 1, 7, 8, 3, 5, 3, 5, 6, 7, 4, 8, 2, 6, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 7, 5, 8, 7, 3, 1, 1, 6, 3, 3, 6, 6, 7, 9, 8, 8, 5, 4, 7, 6, 6, 2, 5, 2, 3, 3, 1, 1, 6, 5, 9, 4, 2, 8, 3, 7, 3, 7, 1, 7, 2, 8, 5, 2, 3, 2, 4, 3, 9, 5, 3, 3, 8, 8, 5, 9, 4, 6, 4, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 3, 5, 3, 6, 8, 6, 2, 2, 2},
        {6, 3, 7, 2, 7, 3, 6, 4, 3, 5, 5, 9, 9, 6, 1, 1, 6, 4, 5, 6, 2, 5, 2, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 2, 5, 9, 5, 9, 8, 7, 4, 8, 1, 6, 1, 4, 2, 2, 1, 7, 2, 4, 1, 3, 7, 9, 2, 9, 2, 6, 3, 3, 2, 1, 7, 8, 8, 2, 5, 1, 4, 6, 6, 6, 3, 7, 9, 3, 1, 1, 1, 4, 5, 1, 3, 8, 1, 2, 7, 3, 8, 3, 6, 6, 8, 5, 1, 4, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 3, 7, 4, 1, 6, 1, 7, 7, 8},
        {7, 6, 2, 2, 2, 8, 6, 9, 4, 6, 3, 7, 3, 7, 2, 1, 7, 7, 6, 6, 1, 7, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 3, 5, 2, 2, 7, 4, 3, 8, 7, 5, 6, 2, 7, 1, 7, 8, 4, 2, 1, 1, 3, 7, 4, 2, 6, 8, 3, 8, 4, 9, 2, 7, 5, 7, 3, 8, 2, 6, 7, 6, 9, 9, 9, 9, 3, 2, 8, 8, 6, 8, 7, 3, 5, 9, 7, 5, 1, 1, 2, 1, 6, 1, 2, 2, 1, 4, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 3, 4, 2, 3, 5, 5, 9, 4, 1},
        {7, 6, 8, 4, 8, 2, 9, 6, 3, 4, 1, 7, 6, 9, 3, 7, 7, 6, 5, 9, 6, 7, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 3, 6, 3, 6, 9, 1, 9, 9, 4, 1, 9, 5, 5, 2, 3, 1, 2, 8, 1, 4, 9, 3, 4, 9, 4, 2, 2, 7, 5, 5, 8, 5, 3, 4, 1, 9, 3, 2, 3, 6, 2, 8, 9, 9, 9, 9, 8, 4, 9, 1, 1, 1, 1, 1, 1, 7, 4, 1, 4, 4, 7, 8, 8, 1, 6, 7, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 6, 7, 4, 4, 8, 7, 4, 9, 6},
        {4, 8, 6, 8, 3, 2, 7, 5, 1, 9, 6, 6, 1, 4, 6, 9, 8, 2, 7, 5, 1, 1, 3, 9, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 9, 9, 1, 8, 9, 9, 1, 1, 4, 1, 8, 6, 1, 3, 5, 2, 6, 5, 3, 3, 4, 3, 8, 3, 4, 8, 2, 3, 2, 8, 3, 9, 3, 1, 1, 4, 5, 5, 8, 7, 4, 4, 9, 8, 6, 6, 9, 2, 8, 1, 1, 1, 1, 1, 7, 7, 2, 3, 7, 5, 3, 7, 5, 1, 2, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 5, 4, 4, 3, 6, 2, 1, 9, 6, 4, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3, 3, 8, 4, 5, 6, 5, 9, 3, 1},
        {2, 2, 3, 3, 7, 7, 7, 3, 4, 3, 9, 5, 8, 3, 3, 2, 1, 4, 2, 4, 4, 9, 8, 1, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 2, 1, 7, 4, 6, 6, 5, 6, 7, 8, 9, 3, 5, 5, 1, 9, 1, 7, 7, 4, 7, 6, 7, 7, 7, 7, 4, 2, 2, 2, 1, 2, 1, 8, 5, 7, 3, 3, 1, 4, 6, 7, 2, 2, 9, 5, 4, 8, 1, 1, 1, 1, 1, 5, 8, 7, 3, 6, 9, 8, 2, 6, 8, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 4, 7, 3, 9, 5, 2, 7, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 8, 8, 3, 9, 6, 4, 3, 3, 3, 4},
        {9, 7, 8, 4, 4, 5, 4, 7, 4, 1, 2, 3, 7, 4, 1, 5, 2, 7, 6, 5, 1, 8, 2, 1, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 1, 5, 5, 8, 7, 5, 2, 3, 6, 5, 9, 7, 8, 4, 7, 5, 7, 1, 9, 6, 8, 3, 4, 3, 5, 5, 5, 5, 8, 3, 3, 7, 8, 3, 9, 3, 3, 5, 2, 2, 4, 6, 4, 1, 4, 9, 3, 5, 6, 1, 1, 1, 1, 1, 8, 3, 6, 7, 3, 6, 3, 1, 4, 8, 3, 3, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 7, 9, 8, 6, 1, 5, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 1, 6, 9, 1, 3, 2, 1, 1},
        {1, 6, 5, 2, 9, 2, 7, 7, 8, 4, 9, 1, 1, 9, 4, 5, 3, 1, 6, 2, 6, 8, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 9, 1, 4, 5, 8, 2, 5, 3, 3, 9, 6, 4, 1, 3, 5, 5, 4, 9, 1, 7, 2, 8, 9, 9, 1, 9, 7, 9, 9, 4, 3, 2, 8, 8, 3, 9, 7, 1, 3, 1, 2, 7, 2, 2, 9, 8, 6, 5, 7, 8, 1, 1, 1, 1, 1, 1, 8, 4, 3, 7, 5, 6, 1, 5, 5, 8, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 7, 5, 3, 5, 4, 7, 3, 4, 9, 8, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 6, 1, 9, 7, 1, 4, 8, 8, 2, 1},
        {8, 3, 5, 4, 7, 5, 1, 3, 9, 8, 7, 4, 8, 1, 6, 6, 5, 1, 6, 6, 3, 6, 1, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 9, 4, 6, 9, 9, 3, 4, 4, 1, 3, 5, 7, 5, 8, 9, 7, 5, 4, 7, 5, 4, 2, 1, 8, 8, 3, 5, 2, 9, 5, 6, 9, 9, 4, 8, 2, 8, 1, 4, 5, 8, 9, 4, 1, 3, 5, 1, 5, 5, 3, 5, 4, 8, 5, 2, 8, 8, 5, 4, 5, 6, 7, 1, 4, 6, 2, 7, 1, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 7, 4, 8, 1, 1, 2, 9, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 1, 9, 8, 8, 7, 2, 8, 6, 8, 3},
        {1, 4, 3, 5, 6, 8, 4, 8, 2, 6, 3, 8, 4, 8, 2, 8, 4, 2, 1, 9, 2, 6, 1, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 7, 8, 1, 8, 7, 7, 9, 9, 5, 9, 4, 2, 3, 7, 5, 6, 4, 6, 7, 1, 8, 2, 5, 6, 4, 6, 1, 5, 9, 6, 6, 6, 1, 7, 3, 4, 8, 3, 8, 1, 6, 9, 3, 8, 9, 8, 7, 8, 7, 7, 3, 3, 4, 1, 6, 5, 6, 8, 5, 8, 4, 2, 4, 8, 5, 2, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 4, 9, 2, 2, 1, 6, 5, 5, 3, 3, 1, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3, 8, 1, 1, 9, 9, 9, 8, 8, 5},
        {5, 5, 1, 9, 3, 6, 7, 3, 8, 4, 7, 7, 8, 1, 7, 1, 4, 1, 7, 9, 2, 3, 5, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 3, 4, 8, 8, 1, 2, 1, 7, 9, 8, 9, 2, 7, 2, 1, 7, 2, 3, 2, 3, 3, 6, 4, 7, 2, 6, 4, 7, 1, 5, 8, 3, 2, 6, 1, 2, 1, 8, 1, 3, 8, 4, 2, 5, 6, 7, 8, 2, 6, 6, 2, 2, 2, 8, 4, 9, 8, 3, 5, 5, 6, 5, 4, 5, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 6, 1, 9, 3, 5, 7, 9, 3, 8, 5, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 5, 7, 6, 3, 3, 3, 3, 7, 5, 5},
        {7, 6, 7, 4, 5, 5, 2, 4, 1, 1, 6, 1, 1, 9, 1, 8, 2, 6, 8, 9, 9, 8, 8, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 9, 6, 2, 1, 3, 8, 3, 3, 5, 4, 8, 7, 7, 7, 4, 3, 3, 5, 7, 3, 4, 8, 6, 1, 7, 5, 6, 7, 4, 2, 2, 7, 8, 1, 2, 5, 7, 2, 8, 7, 6, 8, 1, 1, 5, 8, 9, 1, 1, 9, 6, 9, 4, 5, 2, 7, 4, 6, 4, 4, 3, 7, 7, 4, 8, 2, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 7, 1, 1, 7, 3, 8, 2, 7, 6, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 5, 8, 9, 4, 3, 7, 7, 4, 9, 5},
        {5, 2, 6, 2, 3, 5, 9, 7, 8, 9, 3, 8, 5, 4, 3, 7, 9, 7, 9, 2, 6, 8, 9, 3, 1, 4, 6, 9, 2, 9, 6, 9, 8, 1, 9, 5, 9, 6, 5, 8, 5, 8, 7, 8, 1, 6, 4, 8, 1, 6, 4, 8, 4, 1, 6, 8, 3, 8, 4, 7, 4, 9, 4, 2, 5, 9, 8, 8, 6, 7, 3, 7, 9, 9, 5, 5, 6, 9, 8, 7, 4, 1, 3, 8, 7, 1, 5, 2, 6, 4, 5, 2, 1, 3, 1, 3, 1, 7, 6, 7, 1, 5, 6, 7, 9, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 7, 3, 8, 9, 8, 7, 5, 2, 2, 2, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 5, 1, 5, 6, 6, 1, 8, 1, 6, 9},
        {8, 6, 9, 1, 4, 3, 8, 5, 2, 3, 7, 5, 9, 7, 7, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 6, 9, 4, 4, 3, 3, 8, 8, 9, 9, 1, 6, 7, 9, 9, 9, 9, 4, 8, 1, 3, 8, 2, 6, 8, 6, 1, 1, 1, 2, 5, 7, 5, 7, 2, 7, 2, 1, 9, 8, 7, 4, 4, 4, 3, 7, 9, 5, 2, 9, 1, 7, 8, 8, 2, 7, 4, 7, 6, 7, 6, 9, 8, 8, 9, 2, 5, 9, 2, 2, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 5, 1, 4, 5, 3, 6, 9, 9, 6, 5, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 4, 5, 6, 6, 1, 3, 3, 6, 8},
        {1, 1, 9, 9, 5, 7, 4, 2, 9, 8, 7, 8, 4, 7, 6, 4, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 2, 4, 4, 8, 3, 8, 5, 4, 3, 6, 7, 2, 9, 2, 7, 2, 8, 1, 5, 1, 5, 3, 9, 5, 7, 5, 5, 3, 8, 3, 8, 9, 5, 7, 6, 6, 9, 1, 2, 4, 6, 2, 4, 7, 4, 5, 1, 8, 1, 5, 5, 2, 7, 7, 2, 3, 6, 3, 8, 7, 6, 8, 8, 4, 7, 6, 7, 6, 3, 9, 4, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 6, 9, 3, 3, 4, 3, 1, 4, 8, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 5, 2, 5, 3, 7, 2, 2, 2, 9, 3},
        {6, 6, 4, 1, 2, 8, 6, 4, 7, 8, 7, 7, 8, 3, 8, 9, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 4, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 8, 4, 5, 4, 9, 6, 7, 7, 7, 4, 9, 7, 2, 3, 1, 3, 4, 6, 7, 6, 2, 9, 6, 4, 4, 9, 6, 8, 1, 3, 5, 2, 6, 1, 2, 5, 9, 2, 2, 6, 2, 6, 8, 5, 3, 4, 6, 6, 5, 6, 7, 9, 9, 1, 3, 5, 3, 6, 8, 1, 1, 5, 2, 7, 2, 3, 6, 3, 2, 7, 3, 5, 8, 9, 3, 2, 4, 6, 1, 5, 1, 3, 6, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 1, 1, 7, 1, 9, 6, 6, 1, 9, 9},
        {6, 7, 5, 6, 2, 6, 2, 8, 4, 1, 9, 8, 4, 6, 4, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 4, 6, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 9, 5, 5, 6, 5, 7, 7, 6, 7, 7, 8, 6, 6, 4, 3, 5, 1, 2, 9, 1, 5, 9, 7, 8, 8, 9, 7, 2, 7, 1, 8, 8, 2, 2, 7, 1, 5, 8, 6, 4, 1, 3, 6, 4, 8, 7, 8, 5, 7, 1, 4, 9, 5, 5, 3, 5, 2, 6, 7, 7, 7, 6, 5, 8, 5, 5, 5, 7, 5, 2, 7, 6, 3, 8, 9, 7, 8, 1, 5, 5, 3, 8, 2, 9, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 1, 9, 6, 5, 5, 1, 5, 8},
        {5, 4, 4, 6, 2, 9, 4, 3, 3, 4, 2, 3, 8, 8, 9, 3, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 6, 9, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 2, 5, 3, 4, 4, 2, 3, 3, 9, 9, 6, 4, 9, 2, 6, 6, 2, 4, 5, 8, 1, 2, 6, 2, 8, 3, 4, 3, 8, 8, 4, 2, 5, 7, 7, 2, 1, 3, 1, 4, 7, 6, 9, 5, 1, 8, 4, 1, 2, 3, 6, 7, 3, 4, 1, 7, 1, 2, 7, 7, 4, 5, 6, 8, 6, 2, 2, 9, 6, 1, 7, 5, 1, 5, 4, 8, 3, 8, 2, 7, 9, 3, 6, 6, 4, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 7, 8, 1, 4, 3, 4, 6, 4},
        {3, 7, 9, 7, 6, 7, 9, 3, 1, 9, 4, 9, 5, 6, 6, 6, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 1, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 9, 1, 8, 8, 9, 5, 4, 5, 2, 6, 2, 2, 6, 2, 6, 5, 7, 5, 9, 6, 4, 6, 3, 6, 9, 2, 3, 9, 7, 9, 8, 5, 7, 7, 9, 7, 1, 5, 6, 8, 6, 2, 2, 4, 3, 9, 8, 7, 5, 5, 8, 2, 6, 4, 4, 3, 1, 7, 9, 2, 7, 2, 7, 6, 4, 4, 8, 7, 7, 9, 9, 2, 2, 8, 2, 6, 3, 2, 2, 4, 1, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 4, 2, 8, 4, 1, 7, 6, 7, 8, 7},
        {4, 5, 8, 9, 8, 6, 4, 7, 4, 2, 5, 8, 3, 6, 4, 1, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 1, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 4, 9, 2, 8, 2, 5, 8, 2, 4, 8, 5, 4, 7, 6, 5, 4, 9, 4, 2, 8, 3, 1, 7, 5, 1, 8, 6, 1, 9, 7, 7, 3, 9, 3, 3, 4, 4, 9, 5, 2, 7, 3, 8, 7, 9, 3, 1, 5, 1, 2, 3, 4, 1, 8, 8, 9, 4, 5, 6, 1, 9, 4, 4, 7, 9, 4, 2, 5, 5, 3, 7, 6, 8, 2, 7, 6, 1, 4, 7, 7, 9, 5, 5, 2, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 2, 7, 9, 7, 2, 1, 8, 2, 1},
        {5, 1, 1, 1, 4, 2, 7, 4, 4, 9, 4, 2, 4, 6, 2, 5, 9, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 6, 9, 2, 1, 7, 4, 3, 8, 9, 1, 8, 6, 9, 1, 7, 8, 9, 5, 8, 5, 4, 3, 7, 1, 5, 6, 2, 3, 8, 3, 4, 7, 2, 2, 4, 2, 2, 7, 3, 4, 1, 5, 4, 1, 3, 1, 5, 6, 5, 3, 7, 9, 3, 6, 4, 5, 2, 7, 8, 2, 9, 9, 8, 4, 5, 4, 3, 9, 8, 1, 3, 1, 4, 4, 1, 9, 6, 4, 2, 7, 9, 4, 9, 9, 1, 2, 6, 2, 3, 8, 9, 4, 3, 6, 7, 2, 8, 5, 2, 3, 1, 5, 8, 9, 3, 4, 6, 4, 6, 8, 7, 2, 1, 3, 9},
        {5, 7, 8, 6, 8, 6, 5, 9, 6, 9, 5, 8, 8, 3, 3, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 4, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 1, 8, 5, 8, 8, 3, 1, 6, 4, 3, 2, 6, 3, 5, 8, 6, 9, 6, 7, 6, 4, 1, 2, 7, 7, 1, 9, 2, 4, 3, 6, 3, 2, 5, 6, 6, 5, 7, 3, 2, 3, 8, 3, 4, 3, 4, 3, 4, 1, 5, 7, 2, 3, 9, 9, 7, 9, 7, 7, 4, 6, 3, 4, 1, 2, 7, 3, 9, 6, 4, 3, 6, 3, 4, 6, 6, 6, 9, 3, 2, 9, 3, 5, 4, 9, 7, 8, 8, 4, 9, 7, 2, 3, 1, 1, 1, 6, 7, 6, 3, 1, 7, 3, 1, 3, 8, 5, 7, 4, 7, 9, 6, 2, 3, 4, 5, 3},
        {9, 5, 2, 3, 4, 3, 8, 4, 1, 2, 9, 3, 6, 6, 8, 6, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 2, 9, 9, 2, 3, 8, 8, 8, 6, 4, 1, 3, 4, 2, 8, 5, 1, 8, 1, 4, 9, 6, 9, 5, 6, 4, 6, 1, 8, 6, 4, 5, 8, 9, 8, 1, 4, 9, 1, 2, 6, 3, 3, 2, 7, 1, 3, 3, 1, 4, 8, 8, 1, 9, 8, 6, 2, 6, 2, 9, 2, 4, 7, 4, 3, 3, 4, 9, 3, 5, 8, 5, 2, 5, 2, 4, 2, 1, 3, 5, 9, 8, 9, 6, 1, 6, 8, 2, 7, 3, 6, 3, 9, 8, 3, 3, 2, 7, 5, 4, 6, 9, 3, 5, 7, 5, 2, 1, 7, 6, 6, 8, 2, 2, 5, 2},
        {1, 6, 3, 2, 4, 1, 4, 8, 9, 2, 2, 2, 5, 4, 7, 9, 1, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 6, 9, 8, 9, 3, 6, 2, 1, 3, 1, 7, 1, 5, 5, 1, 9, 1, 4, 3, 6, 9, 4, 7, 8, 1, 6, 5, 6, 6, 3, 6, 1, 7, 5, 2, 4, 5, 2, 4, 1, 6, 9, 8, 5, 1, 7, 1, 9, 4, 1, 3, 7, 5, 4, 3, 4, 4, 6, 2, 6, 1, 6, 3, 5, 9, 2, 4, 8, 6, 8, 5, 4, 5, 7, 3, 7, 9, 2, 6, 6, 3, 6, 1, 2, 8, 4, 5, 9, 5, 5, 1, 5, 2, 5, 6, 9, 3, 3, 7, 2, 4, 2, 2, 1, 6, 5, 6, 8, 5, 5, 8, 7, 2, 6},
        {7, 6, 9, 9, 3, 9, 3, 3, 7, 1, 2, 3, 1, 7, 8, 2, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 7, 2, 6, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 2, 8, 8, 1, 9, 2, 4, 8, 3, 4, 1, 7, 4, 5, 3, 1, 2, 2, 9, 3, 7, 2, 8, 2, 8, 8, 1, 6, 3, 2, 2, 3, 6, 4, 9, 2, 8, 3, 5, 3, 4, 3, 1, 6, 8, 7, 2, 6, 9, 8, 2, 2, 5, 1, 6, 5, 1, 8, 4, 4, 4, 6, 9, 9, 1, 9, 4, 5, 8, 9, 9, 5, 7, 7, 9, 8, 4, 9, 2, 3, 9, 5, 1, 2, 4, 5, 6, 6, 7, 9, 4, 9, 2, 2, 2, 4, 5, 6, 4, 8, 3, 4, 2, 5, 7, 3, 5, 3, 5, 5, 1, 9, 4, 1, 7, 5},
        {3, 7, 4, 2, 4, 1, 7, 4, 8, 9, 6, 7, 7, 3, 2, 8, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 1, 2, 2, 6, 2, 3, 1, 2, 6, 8, 7, 6, 6, 1, 8, 7, 9, 7, 5, 3, 8, 3, 9, 3, 3, 9, 1, 9, 2, 7, 7, 1, 8, 4, 3, 7, 2, 9, 3, 8, 5, 2, 4, 2, 5, 7, 4, 3, 5, 1, 9, 4, 1, 4, 3, 5, 7, 1, 4, 4, 6, 6, 8, 6, 2, 6, 4, 4, 7, 4, 1, 6, 4, 6, 2, 4, 2, 5, 9, 1, 3, 4, 8, 6, 2, 3, 2, 5, 5, 8, 3, 5, 6, 2, 9, 6, 9, 9, 8, 9, 9, 6, 5, 6, 9, 5, 1, 1, 2, 8, 1, 6, 8, 7, 5, 9, 6},
        {8, 1, 9, 5, 9, 8, 4, 2, 5, 9, 6, 1, 9, 8, 9, 1, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 9, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 7, 1, 9, 3, 7, 5, 4, 2, 1, 9, 5, 1, 2, 8, 2, 1, 2, 6, 6, 1, 9, 3, 1, 6, 5, 8, 1, 8, 8, 4, 3, 3, 7, 9, 5, 4, 8, 6, 7, 3, 1, 4, 7, 6, 8, 7, 3, 1, 4, 7, 3, 2, 8, 1, 1, 9, 5, 1, 5, 3, 6, 9, 4, 5, 7, 9, 4, 4, 7, 4, 6, 9, 9, 1, 8, 3, 6, 4, 2, 5, 1, 7, 2, 6, 3, 7, 3, 9, 4, 4},
        {5, 8, 9, 7, 2, 2, 2, 7, 1, 4, 6, 3, 2, 8, 8, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 5, 6, 7, 1, 6, 9, 5, 1, 5, 7, 7, 4, 7, 9, 1, 9, 7, 9, 1, 3, 5, 9, 1, 7, 8, 5, 8, 5, 9, 1, 9, 4, 7, 3, 1, 6, 4, 1, 9, 5, 9, 7, 9, 4, 1, 8, 3, 7, 1, 7, 1, 8, 7, 2, 3, 3, 3, 5, 7, 2, 8, 7, 7, 8, 7, 2, 1, 7, 3, 9, 2, 9, 2, 1, 2, 8, 4, 8, 5, 5, 7, 4, 7, 3, 3, 1, 9, 4, 9, 2},
        {4, 4, 8, 4, 4, 3, 3, 6, 7, 4, 8, 3, 8, 3, 7, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 4, 3, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 6, 6, 8, 9, 5, 7, 1, 7, 5, 8, 9, 5, 2, 8, 4, 1, 8, 9, 7, 5, 1, 9, 4, 3, 3, 7, 2, 8, 2, 2, 2, 6, 3, 2, 7, 8, 1, 5, 7, 8, 5, 8, 8, 4, 3, 1, 2, 7, 5, 6, 5, 4, 9, 7, 1, 3, 6, 7, 5, 3, 2, 5, 4, 2, 3, 5, 4, 8, 2, 7, 5, 3, 1, 1, 1, 5, 8, 7, 5, 4, 9, 3, 4, 5, 8, 2, 3, 1, 9},
        {9, 1, 8, 9, 2, 7, 4, 4, 9, 1, 7, 8, 7, 2, 8, 6, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 3, 9, 6, 7, 1, 2, 3, 4, 6, 6, 6, 8, 5, 1, 4, 7, 5, 5, 8, 2, 6, 4, 2, 4, 2, 1, 2, 8, 1, 6, 3, 3, 8, 2, 7, 5, 4, 6, 9, 3, 6, 3, 1, 8, 6, 5, 8, 9, 4, 5, 2, 2, 4, 3, 7, 4, 7, 1, 7, 2, 4, 9, 5, 1, 6, 6, 5, 8, 7, 8, 1, 5, 3, 6, 1, 4, 1, 4, 8, 5, 4, 7, 1, 1, 1, 5, 2, 2, 1},
        {7, 9, 8, 6, 5, 3, 2, 9, 9, 4, 3, 9, 4, 6, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 1, 5, 6, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 4, 9, 3, 9, 3, 1, 3, 3, 8, 4, 4, 6, 5, 5, 4, 4, 8, 4, 3, 7, 2, 7, 1, 8, 6, 6, 6, 4, 1, 1, 7, 3, 1, 8, 7, 5, 7, 9, 4, 9, 9, 1, 9, 1, 5, 7, 9, 2, 5, 9, 1, 6, 7, 3, 9, 8, 2, 1, 3, 6, 3, 3, 5, 5, 4, 7, 2, 6, 7, 1, 6, 1, 7, 6, 4, 7, 5, 5, 4, 1, 8, 8, 8, 7, 6, 7, 1, 9, 4, 5},
        {7, 9, 6, 7, 7, 1, 2, 8, 9, 8, 6, 6, 5, 9, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 9, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 7, 4, 7, 9, 1, 3, 2, 2, 4, 2, 4, 6, 7, 6, 3, 7, 7, 8, 5, 6, 6, 1, 7, 8, 7, 9, 1, 9, 6, 6, 6, 1, 6, 4, 4, 9, 7, 9, 2, 8, 9, 2, 6, 2, 9, 4, 1, 5, 6, 9, 4, 3, 3, 5, 7, 9, 3, 2, 7, 1, 6, 7, 3, 8, 8, 5, 1, 2, 6, 2, 3, 9, 9, 1, 9, 8, 6, 6, 5, 3, 6, 5, 9, 8, 7, 9, 7, 9, 5},
        {4, 2, 7, 5, 9, 2, 7, 9, 6, 4, 3, 8, 5, 6, 2, 7, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 2, 9, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 4, 6, 7, 7, 2, 5, 3, 1, 2, 3, 7, 2, 7, 6, 6, 1, 8, 1, 5, 2, 8, 8, 3, 5, 5, 7, 3, 3, 5, 5, 2, 8, 3, 6, 5, 7, 5, 8, 5, 3, 7, 5, 2, 2, 4, 4, 4, 6, 4, 8, 1, 6, 3, 1, 2, 5, 3, 8, 5, 3, 6, 1, 7, 4, 1, 5, 8, 1, 8, 1, 5, 6, 7, 8, 5, 8, 4, 6, 8, 1, 4, 8, 9, 6, 6, 4, 7, 6, 6},
        {5, 9, 5, 7, 1, 8, 4, 7, 9, 1, 4, 6, 2, 2, 6, 7, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 5, 6, 1, 2, 8, 6, 4, 3, 5, 8, 8, 5, 4, 9, 8, 7, 5, 1, 5, 3, 3, 4, 7, 4, 4, 6, 7, 2, 6, 4, 8, 2, 4, 6, 8, 9, 3, 3, 2, 2, 7, 9, 2, 3, 3, 5, 9, 1, 2, 6, 1, 2, 4, 5, 7, 2, 3, 3, 6, 8, 2, 6, 2, 8, 8, 7, 6, 2, 8, 3, 9, 9, 2, 4, 2, 2, 8, 9, 9, 4, 6, 2, 2, 8, 4, 7, 6, 1, 7, 9},
        {1, 5, 5, 6, 3, 2, 7, 2, 1, 2, 1, 1, 9, 6, 6, 7, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 7, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 7, 6, 8, 2, 7, 2, 8, 8, 4, 1, 2, 7, 8, 3, 2, 5, 4, 2, 8, 7, 1, 8, 1, 3, 6, 5, 6, 2, 1, 4, 1, 6, 5, 6, 3, 2, 8, 8, 1, 2, 8, 1, 2, 2, 7, 2, 1, 6, 7, 2, 8, 4, 6, 6, 2, 9, 6, 2, 1, 5, 7, 3, 1, 1, 2, 4, 3, 5, 2, 9, 1, 2, 3, 3, 3, 3, 9, 8, 3, 2, 6, 2, 9, 2, 1, 9, 1, 8, 9},
        {7, 5, 5, 8, 9, 6, 2, 8, 6, 6, 6, 5, 1, 3, 8, 6, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 1, 1, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 7, 9, 4, 4, 8, 2, 4, 8, 2, 9, 8, 2, 6, 6, 6, 8, 8, 5, 2, 6, 7, 4, 6, 6, 8, 5, 1, 8, 2, 7, 1, 3, 7, 1, 3, 8, 7, 4, 9, 7, 1, 8, 7, 6, 7, 2, 9, 4, 8, 2, 8, 7, 2, 4, 6, 4, 3, 4, 8, 8, 5, 1, 2, 1, 4, 2, 9, 4, 5, 7, 2, 3, 3, 3, 3, 3, 1, 3, 5, 4, 8, 2, 7, 3, 2, 6, 1, 4, 6},
        {3, 2, 6, 8, 8, 4, 9, 2, 3, 5, 8, 4, 3, 3, 4, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 1, 8, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 9, 4, 5, 2, 9, 4, 6, 2, 7, 2, 1, 7, 9, 1, 4, 9, 5, 7, 2, 9, 1, 6, 2, 8, 4, 6, 7, 5, 9, 3, 4, 1, 1, 9, 1, 1, 8, 5, 5, 4, 8, 7, 1, 3, 9, 1, 1, 1, 3, 6, 8, 4, 3, 1, 5, 6, 5, 8, 4, 3, 3, 3, 4, 9, 7, 6, 6, 9, 6, 4, 1, 7, 3, 3, 3, 3, 6, 5, 2, 1, 1, 9, 8, 1, 8, 8, 9, 3, 1},
        {8, 9, 9, 8, 6, 9, 2, 1, 8, 4, 3, 7, 8, 4, 8, 4, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 8, 8, 1, 5, 7, 9, 1, 9, 9, 2, 4, 6, 2, 4, 2, 5, 5, 3, 7, 7, 3, 6, 9, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 9, 7, 3, 5, 8, 3, 1, 6, 7, 8, 9, 5, 7, 1, 4, 8, 2, 6, 3, 9, 2, 6, 2, 1, 1, 5, 7, 5, 4, 5, 2, 2, 7, 6, 4, 8, 8, 8, 8, 8, 3, 5, 7, 5, 3, 6, 6, 2, 5, 1, 1, 8, 1, 2, 9, 7, 8, 9, 9, 4, 4, 7, 7, 2, 7, 4, 6, 3, 1, 3, 8, 7, 6, 3, 3, 3, 3, 3, 3, 9, 8, 9, 8, 8, 9, 6, 5, 4, 7, 3},
        {1, 3, 7, 3, 8, 8, 9, 9, 6, 1, 3, 7, 8, 6, 3, 5, 9, 3, 3, 3, 5, 8, 8, 5, 6, 7, 4, 4, 2, 9, 9, 4, 2, 2, 9, 4, 5, 1, 5, 6, 9, 7, 4, 7, 3, 2, 1, 7, 4, 1, 6, 4, 6, 7, 7, 9, 6, 6, 6, 5, 7, 5, 8, 2, 5, 1, 5, 6, 9, 8, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 8, 7, 7, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 4, 1, 9, 5, 6, 3, 7, 3, 7, 5, 5, 2, 1, 8, 6, 9, 9, 6, 8, 4, 5, 2, 6, 6, 5, 8, 9, 5, 2, 9, 3, 1, 2, 9, 4, 2, 9, 1, 9, 3, 6, 6, 1, 9, 2, 7, 2, 4, 3, 2, 4, 8, 3, 3, 7, 2, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9},
        {2, 3, 3, 7, 2, 3, 3, 3, 2, 9, 9, 1, 7, 6, 2, 8, 6, 8, 6, 8, 4, 8, 1, 8, 2, 7, 2, 7, 7, 1, 4, 5, 6, 4, 9, 2, 9, 2, 5, 7, 7, 5, 1, 5, 8, 1, 2, 6, 5, 5, 5, 1, 5, 6, 7, 1, 3, 5, 5, 1, 6, 5, 2, 1, 8, 4, 8, 1, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 1, 1, 8, 1, 1, 2, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 1, 5, 7, 3, 2, 9, 2, 2, 7, 1, 1, 2, 4, 7, 7, 5, 5, 9, 2, 8, 6, 5, 6, 7, 7, 8, 9, 9, 7, 1, 9, 6, 9, 4, 7, 5, 5, 6, 7, 9, 6, 7, 7, 3, 5, 1, 5, 3, 5, 4, 5, 6, 8, 7, 8, 3, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7},
        {2, 6, 3, 6, 8, 7, 9, 5, 5, 5, 5, 4, 9, 1, 7, 6, 5, 2, 6, 2, 1, 4, 5, 1, 9, 8, 1, 6, 9, 2, 1, 2, 9, 7, 6, 2, 2, 8, 8, 2, 8, 5, 2, 4, 2, 7, 6, 5, 7, 4, 7, 9, 8, 5, 5, 5, 3, 8, 4, 4, 3, 7, 9, 8, 8, 3, 7, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 2, 3, 7, 3, 1, 4, 5, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 5, 6, 3, 2, 2, 9, 9, 4, 1, 8, 4, 5, 1, 6, 4, 6, 9, 2, 5, 6, 6, 3, 4, 3, 1, 8, 7, 6, 3, 8, 8, 1, 9, 7, 6, 9, 2, 2, 1, 5, 8, 1, 8, 2, 1, 1, 6, 9, 5, 4, 4, 5, 8, 9, 4, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1},
        {9, 9, 6, 9, 5, 3, 7, 8, 4, 2, 9, 1, 8, 5, 6, 6, 7, 1, 9, 7, 7, 4, 8, 2, 8, 5, 8, 3, 4, 3, 2, 9, 5, 4, 3, 1, 1, 2, 4, 3, 7, 8, 8, 8, 6, 9, 4, 9, 2, 7, 1, 7, 4, 6, 8, 2, 8, 2, 2, 1, 6, 4, 3, 4, 2, 8, 6, 7, 6, 9, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 6, 7, 9, 5, 8, 4, 7, 9, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 4, 7, 8, 2, 3, 8, 6, 3, 6, 8, 6, 4, 7, 5, 5, 9, 8, 7, 6, 7, 4, 3, 5, 6, 3, 6, 9, 1, 6, 2, 7, 7, 6, 2, 6, 4, 4, 2, 6, 5, 5, 2, 7, 4, 1, 1, 4, 8, 6, 7, 3, 1, 8, 1, 9, 9, 1, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6},
        {2, 5, 3, 7, 7, 4, 8, 1, 6, 8, 8, 5, 7, 3, 2, 6, 1, 6, 9, 7, 3, 1, 7, 6, 6, 7, 9, 1, 8, 5, 8, 7, 3, 1, 7, 5, 4, 6, 9, 4, 2, 5, 1, 7, 5, 5, 8, 5, 3, 4, 1, 4, 2, 7, 2, 8, 1, 3, 7, 9, 9, 8, 1, 2, 3, 8, 8, 5, 2, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 6, 9, 3, 1, 7, 2, 9, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 8, 3, 1, 6, 4, 3, 7, 4, 6, 2, 7, 4, 5, 5, 8, 7, 7, 2, 3, 2, 4, 7, 3, 6, 5, 6, 6, 8, 9, 5, 8, 2, 3, 8, 1, 2, 5, 2, 1, 7, 6, 7, 8, 4, 6, 5, 1, 6, 2, 1, 3, 9, 6, 2, 9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6},
        {4, 3, 2, 1, 3, 3, 8, 2, 6, 4, 7, 7, 8, 2, 2, 3, 8, 9, 5, 2, 4, 9, 6, 6, 3, 9, 6, 5, 9, 2, 7, 1, 1, 6, 4, 3, 4, 1, 8, 2, 2, 6, 8, 9, 3, 1, 8, 2, 4, 8, 9, 7, 3, 6, 3, 9, 2, 4, 6, 6, 2, 1, 4, 8, 7, 9, 9, 3, 8, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 2, 5, 2, 5, 6, 3, 2, 9, 8, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 8, 1, 8, 1, 4, 7, 5, 3, 6, 3, 8, 8, 4, 4, 3, 1, 7, 7, 2, 6, 5, 6, 7, 9, 6, 7, 8, 4, 8, 6, 9, 8, 7, 3, 8, 6, 8, 5, 5, 7, 5, 3, 7, 6, 7, 7, 5, 6, 7, 3, 7, 6, 7, 1, 4, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4},
        {9, 3, 8, 6, 6, 3, 1, 2, 5, 1, 7, 8, 5, 6, 4, 3, 6, 5, 2, 7, 1, 8, 1, 4, 3, 6, 7, 2, 1, 8, 3, 6, 1, 6, 9, 9, 6, 7, 5, 4, 9, 6, 8, 7, 9, 3, 4, 9, 7, 2, 9, 5, 2, 1, 9, 4, 5, 1, 6, 8, 3, 2, 2, 4, 6, 7, 1, 5, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 1, 7, 5, 6, 6, 3, 1, 4, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 4, 5, 9, 8, 9, 7, 2, 3, 8, 1, 6, 5, 6, 5, 9, 1, 2, 8, 2, 5, 1, 5, 9, 9, 2, 6, 9, 6, 2, 8, 7, 8, 5, 1, 9, 2, 2, 7, 9, 7, 4, 1, 4, 6, 5, 6, 1, 5, 9, 8, 8, 2, 2, 4, 9, 1, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1},
        {6, 4, 3, 2, 8, 5, 9, 9, 2, 2, 4, 8, 1, 3, 4, 1, 4, 1, 8, 1, 8, 6, 3, 2, 1, 5, 6, 5, 9, 5, 4, 7, 6, 3, 9, 5, 7, 1, 8, 2, 8, 1, 4, 3, 8, 1, 7, 5, 6, 8, 4, 2, 3, 3, 7, 5, 5, 6, 5, 6, 8, 3, 4, 1, 1, 5, 2, 4, 8, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 7, 1, 3, 2, 7, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 2, 5, 8, 7, 8, 2, 6, 7, 5, 9, 1, 8, 7, 4, 8, 1, 8, 5, 5, 6, 9, 5, 8, 4, 3, 1, 1, 4, 3, 6, 4, 2, 1, 8, 1, 2, 9, 1, 1, 7, 4, 5, 7, 2, 4, 7, 6, 3, 3, 7, 2, 6, 4, 9, 8, 5, 4, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4},
        {5, 7, 9, 3, 5, 8, 4, 8, 6, 7, 5, 2, 5, 2, 7, 8, 8, 4, 2, 5, 4, 2, 8, 8, 4, 3, 2, 8, 7, 2, 2, 3, 7, 7, 8, 4, 2, 3, 2, 5, 6, 1, 6, 7, 9, 4, 9, 5, 4, 7, 8, 8, 7, 4, 7, 9, 9, 1, 5, 5, 6, 1, 5, 9, 7, 5, 4, 3, 2, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 9, 6, 8, 6, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 4, 7, 7, 6, 2, 6, 8, 2, 1, 4, 6, 5, 7, 3, 7, 2, 3, 8, 9, 8, 7, 9, 1, 8, 9, 4, 9, 9, 2, 9, 3, 7, 1, 3, 6, 1, 8, 4, 6, 7, 4, 5, 6, 1, 2, 7, 4, 5, 1, 6, 2, 6, 5, 2, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8},
        {4, 3, 8, 1, 3, 7, 7, 1, 3, 6, 5, 8, 5, 6, 1, 4, 3, 6, 8, 7, 3, 7, 4, 6, 4, 8, 1, 8, 3, 1, 1, 4, 7, 7, 7, 7, 4, 1, 7, 9, 2, 6, 6, 8, 9, 2, 4, 1, 1, 7, 7, 9, 4, 3, 8, 5, 5, 9, 5, 8, 9, 3, 6, 3, 1, 4, 4, 6, 9, 2, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 2, 4, 4, 4, 6, 1, 8, 5, 9, 3, 3, 5, 1, 5, 1, 4, 1, 2, 3, 5, 1, 6, 7, 3, 9, 3, 7, 5, 9, 6, 9, 5, 6, 9, 9, 9, 4, 2, 2, 4, 2, 8, 1, 9, 8, 2, 9, 7, 4, 3, 4, 4, 2, 8, 9, 1, 9, 7, 9, 5, 2, 6, 6, 9, 5, 4, 7, 3, 1, 9, 5, 8, 4, 9, 5, 3, 3, 6, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3},
        {5, 9, 5, 4, 4, 6, 1, 4, 1, 3, 9, 9, 9, 4, 2, 1, 4, 4, 9, 9, 9, 7, 8, 8, 7, 7, 2, 9, 1, 4, 3, 2, 7, 5, 5, 7, 6, 1, 2, 9, 9, 3, 5, 4, 6, 2, 9, 3, 4, 8, 1, 4, 7, 8, 2, 9, 4, 7, 2, 4, 3, 9, 2, 5, 6, 4, 2, 6, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 9, 6, 9, 3, 6, 6, 6, 7, 9, 7, 3, 8, 5, 7, 9, 3, 8, 6, 7, 9, 1, 3, 4, 3, 8, 7, 2, 5, 9, 2, 1, 4, 1, 6, 1, 1, 4, 4, 7, 5, 1, 6, 9, 2, 9, 3, 6, 8, 2, 2, 8, 8, 1, 4, 2, 8, 3, 5, 2, 4, 9, 1, 2, 4, 5, 5, 9, 2, 1, 6, 4, 1, 2, 9, 4, 6, 6, 5, 9, 6, 5, 7, 4, 6, 4, 2, 7, 1, 6, 6},
        {7, 3, 9, 2, 6, 3, 5, 6, 5, 6, 4, 1, 2, 6, 5, 7, 2, 9, 5, 9, 8, 6, 2, 2, 1, 4, 3, 9, 8, 2, 2, 5, 8, 7, 4, 6, 1, 9, 4, 2, 5, 6, 5, 8, 3, 7, 8, 6, 8, 7, 6, 4, 5, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 1, 9, 3, 7, 9, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 1, 6, 9, 2, 4, 2, 2, 8, 1, 1, 6, 6, 8, 5, 5, 3, 8, 8, 3, 3, 5, 6, 6, 4, 4, 3, 1, 8, 6, 9, 5, 5, 7, 5, 4, 2, 8, 3, 1, 2, 4, 8, 7, 1, 2, 1, 8, 7, 4, 6, 4, 5, 8, 1, 2, 8, 6, 6, 6, 6, 1, 9, 7, 3, 5, 9, 1, 8, 5, 3, 1, 2},
        {9, 3, 6, 1, 4, 6, 9, 4, 3, 3, 3, 1, 1, 9, 2, 4, 2, 4, 6, 7, 9, 1, 6, 6, 7, 9, 6, 9, 1, 4, 6, 3, 8, 4, 8, 1, 5, 5, 7, 2, 5, 1, 5, 9, 7, 2, 5, 3, 8, 8, 3, 9, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 4, 5, 4, 6, 6, 3, 4, 1, 1, 9, 3, 4, 7, 2, 6, 3, 9, 1, 2, 8, 1, 4, 5, 4, 9, 2, 3, 1, 5, 7, 6, 5, 4, 7, 8, 6, 1, 1, 9, 5, 9, 8, 5, 5, 4, 4, 4, 8, 4, 7, 1, 3, 2, 9, 3, 7, 6, 8, 3, 3, 8, 1, 1, 8, 5, 2, 8, 7, 9, 3, 4, 5, 4, 4, 6, 9, 1, 6, 1, 5, 7, 5, 8, 4, 9, 8, 6, 3, 5, 6},
        {7, 7, 3, 7, 3, 6, 7, 9, 2, 8, 4, 6, 3, 4, 9, 5, 3, 7, 8, 4, 4, 2, 5, 1, 2, 7, 4, 4, 6, 3, 4, 1, 8, 7, 7, 8, 2, 2, 9, 5, 6, 2, 7, 1, 6, 7, 6, 2, 9, 6, 9, 7, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 9, 7, 6, 5, 1, 5, 5, 5, 5, 5, 5, 1, 3, 1, 4, 4, 5, 7, 2, 8, 7, 1, 2, 6, 2, 8, 7, 3, 8, 6, 3, 6, 5, 9, 8, 3, 2, 3, 7, 2, 7, 8, 9, 3, 1, 2, 9, 1, 7, 2, 7, 9, 5, 9, 8, 2, 9, 4, 6, 6, 1, 2, 5, 2, 9, 3, 1, 5, 9, 7, 6, 4, 8, 2, 6, 8, 6, 7, 7, 3, 9, 2, 7, 6, 3, 4, 3, 2, 2, 5},
        {4, 6, 4, 8, 6, 2, 4, 6, 6, 2, 3, 5, 1, 6, 8, 7, 6, 8, 1, 9, 2, 6, 6, 6, 3, 2, 5, 4, 9, 2, 9, 7, 2, 9, 2, 5, 9, 7, 1, 4, 1, 9, 4, 8, 4, 4, 3, 6, 9, 8, 3, 5, 4, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 7, 8, 2, 4, 2, 5, 8, 8, 8, 1, 4, 3, 2, 9, 6, 5, 4, 9, 9, 9, 5, 5, 8, 1, 7, 6, 9, 2, 7, 6, 6, 5, 9, 7, 6, 9, 6, 5, 1, 9, 9, 3, 6, 9, 8, 4, 1, 6, 4, 6, 6, 6, 2, 3, 2, 6, 2, 1, 7, 5, 9, 9, 7, 4, 7, 8, 2, 5, 5, 1, 8, 8, 9, 9, 6, 5, 2, 5, 9, 2, 5, 7, 5, 5, 7, 3, 7, 2, 9, 2, 7, 1, 2, 3, 7, 8, 2, 3},
        {5, 9, 5, 7, 6, 2, 1, 3, 1, 4, 7, 7, 3, 1, 9, 3, 5, 6, 2, 7, 1, 9, 2, 7, 7, 2, 5, 5, 4, 7, 5, 4, 9, 5, 6, 4, 4, 7, 3, 6, 6, 3, 8, 1, 6, 4, 4, 7, 6, 4, 1, 5, 9, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 5, 7, 5, 3, 7, 3, 3, 5, 7, 6, 5, 1, 9, 5, 7, 5, 7, 9, 1, 9, 3, 7, 8, 1, 9, 2, 6, 9, 4, 4, 2, 7, 3, 5, 7, 9, 5, 5, 7, 6, 8, 8, 3, 1, 2, 3, 4, 7, 4, 2, 9, 5, 4, 2, 7, 2, 9, 4, 4, 6, 1, 2, 6, 2, 5, 3, 3, 4, 5, 9, 7, 1, 9, 9, 6, 5, 1, 9, 6, 2, 6, 1, 1, 8, 7, 5, 5, 8, 3, 3, 8, 8, 2, 8, 1, 1},
        {8, 3, 7, 4, 4, 3, 5, 4, 8, 6, 8, 7, 2, 1, 7, 4, 4, 5, 2, 6, 2, 4, 7, 2, 7, 2, 4, 9, 5, 5, 3, 5, 2, 7, 7, 9, 7, 2, 7, 8, 7, 1, 8, 2, 8, 8, 8, 4, 4, 5, 8, 2, 2, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 5, 7, 6, 2, 1, 3, 4, 6, 7, 8, 6, 5, 2, 2, 8, 3, 4, 9, 8, 2, 8, 1, 2, 9, 3, 8, 1, 2, 5, 3, 3, 9, 8, 1, 5, 6, 8, 7, 6, 8, 9, 1, 7, 7, 9, 9, 6, 3, 1, 6, 9, 5, 6, 9, 7, 5, 5, 9, 2, 8, 5, 1, 6, 7, 3, 8, 7, 6, 1, 2, 3, 4, 7, 3, 7, 1, 3, 2, 3, 7, 7, 8, 5, 2, 8, 9, 1, 7, 8, 7, 2, 9, 7, 1, 5, 6, 5, 8},
        {7, 6, 2, 5, 4, 7, 5, 2, 5, 5, 1, 7, 6, 7, 2, 4, 5, 2, 3, 3, 8, 2, 3, 1, 4, 8, 2, 1, 4, 9, 7, 3, 9, 3, 2, 3, 7, 2, 8, 4, 2, 6, 8, 5, 8, 8, 4, 1, 6, 6, 6, 7, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 3, 1, 4, 4, 6, 1, 1, 8, 8, 8, 1, 5, 2, 4, 1, 5, 5, 6, 8, 4, 8, 6, 6, 4, 5, 8, 2, 5, 2, 5, 7, 6, 4, 5, 2, 4, 3, 5, 9, 2, 7, 3, 5, 8, 7, 1, 2, 4, 9, 8, 8, 8, 4, 3, 6, 4, 7, 8, 4, 5, 1, 6, 3, 5, 8, 8, 8, 7, 2, 9, 2, 6, 1, 9, 3, 5, 7, 1, 2, 6, 8, 1, 1, 9, 7, 3, 3, 7, 1, 8, 9, 9, 8, 9, 7, 4, 1, 5},
        {9, 2, 8, 4, 9, 2, 7, 1, 8, 7, 2, 6, 8, 8, 4, 6, 3, 7, 8, 1, 5, 4, 9, 9, 4, 5, 8, 6, 8, 5, 1, 3, 8, 8, 6, 4, 9, 6, 9, 8, 1, 1, 4, 8, 3, 9, 7, 2, 1, 2, 2, 8, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 8, 9, 5, 6, 1, 8, 6, 9, 6, 4, 6, 9, 3, 9, 4, 5, 5, 1, 5, 8, 8, 4, 2, 4, 7, 8, 5, 9, 5, 6, 5, 5, 3, 6, 7, 6, 2, 9, 7, 3, 6, 3, 1, 3, 8, 2, 7, 1, 1, 3, 6, 4, 8, 6, 8, 7, 6, 8, 4, 7, 3, 9, 6, 1, 9, 9, 5, 5, 3, 6, 1, 8, 5, 4, 3, 9, 6, 2, 1, 2, 4, 9, 9, 8, 8, 8, 6, 5, 6, 1, 7, 4, 6, 2, 1, 4, 6},
        {2, 3, 7, 5, 7, 1, 5, 5, 5, 1, 6, 9, 5, 5, 3, 1, 1, 1, 1, 8, 9, 9, 4, 4, 1, 1, 9, 9, 9, 7, 5, 5, 4, 4, 5, 7, 5, 5, 1, 7, 4, 3, 8, 4, 3, 9, 7, 9, 2, 6, 9, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 5, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 5, 8, 1, 5, 6, 7, 6, 3, 2, 7, 9, 3, 4, 7, 6, 3, 8, 5, 2, 5, 3, 1, 4, 5, 6, 6, 7, 2, 9, 2, 5, 5, 3, 1, 4, 2, 3, 5, 9, 6, 8, 2, 9, 1, 3, 5, 5, 3, 1, 1, 1, 4, 3, 4, 6, 9, 8, 4, 4, 6, 4, 8, 9, 1, 1, 2, 7, 3, 5, 2, 8, 2, 5},
        {2, 7, 8, 7, 2, 8, 3, 4, 4, 7, 4, 8, 4, 2, 1, 8, 5, 2, 3, 8, 3, 7, 1, 2, 6, 7, 6, 9, 7, 8, 7, 9, 6, 5, 6, 5, 9, 4, 9, 5, 7, 6, 4, 4, 9, 4, 7, 4, 4, 6, 7, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 8, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 9, 3, 5, 4, 2, 2, 5, 7, 9, 5, 6, 9, 2, 4, 6, 7, 7, 4, 9, 9, 9, 6, 1, 2, 6, 2, 2, 3, 1, 8, 6, 4, 5, 8, 6, 6, 4, 8, 1, 3, 9, 7, 5, 6, 2, 9, 2, 8, 2, 3, 6, 5, 6, 1, 8, 9, 6, 2, 3, 9, 6, 1, 1, 5, 4, 9, 1, 5, 1, 3, 9, 1, 7},
        {1, 9, 9, 2, 1, 8, 6, 5, 9, 7, 5, 2, 4, 5, 4, 7, 9, 1, 8, 7, 1, 8, 3, 8, 7, 6, 1, 3, 4, 9, 6, 7, 6, 9, 3, 3, 9, 9, 8, 9, 4, 9, 9, 6, 2, 9, 4, 3, 5, 8, 6, 6, 2, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 9, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 6, 3, 4, 5, 9, 8, 1, 5, 8, 6, 5, 8, 6, 4, 2, 3, 8, 1, 5, 1, 9, 8, 1, 5, 8, 6, 2, 1, 2, 3, 8, 2, 4, 9, 6, 3, 4, 3, 8, 8, 8, 9, 2, 6, 3, 8, 6, 8, 8, 3, 4, 2, 4, 4, 4, 5, 1, 9, 9, 3, 4, 9, 1, 4, 9, 5, 8, 3, 2, 1, 8, 7, 6},
        {6, 5, 3, 9, 1, 7, 2, 4, 6, 6, 6, 2, 4, 7, 2, 7, 2, 5, 6, 7, 8, 5, 9, 2, 7, 2, 6, 5, 1, 8, 5, 7, 6, 4, 2, 4, 2, 9, 4, 7, 4, 5, 9, 8, 8, 3, 7, 1, 4, 6, 1, 9, 7, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 7, 9, 5, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 3, 5, 8, 7, 9, 3, 1, 7, 7, 1, 4, 5, 3, 4, 9, 5, 3, 7, 7, 2, 2, 9, 5, 7, 6, 8, 7, 8, 8, 1, 4, 4, 9, 8, 7, 6, 3, 8, 9, 3, 3, 1, 8, 3, 1, 1, 8, 3, 6, 2, 3, 5, 7, 5, 6, 8, 1, 3, 3, 7, 1, 5, 3, 6, 8, 1, 6, 3, 6, 9, 1, 2, 3},
        {1, 4, 9, 8, 8, 3, 5, 9, 6, 5, 1, 6, 2, 1, 2, 1, 7, 9, 4, 2, 4, 2, 6, 8, 6, 8, 9, 7, 3, 9, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 4, 8, 8, 3, 5, 8, 1, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 8, 3, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 5, 3, 2, 3, 3, 1, 8, 5, 1, 6, 4, 7, 9, 6, 9, 9, 3, 8, 5, 9, 9, 3, 1, 6, 6, 2, 7, 9, 8, 9, 9, 3, 8, 7, 6, 8, 1, 9, 7, 8, 6, 3, 1, 6, 2, 5, 9, 1, 3, 6, 9, 2, 6, 8, 9, 6, 4, 4, 3, 8, 1, 3, 6, 5, 2, 8, 6, 5, 4, 2, 4, 6, 3},
        {7, 3, 1, 8, 7, 8, 5, 3, 5, 6, 4, 5, 5, 9, 8, 9, 3, 1, 8, 3, 8, 3, 1, 8, 7, 2, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 9, 4, 1, 1, 2, 4, 4, 1, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 8, 1, 6, 2, 9, 1, 7, 5, 3, 6, 7, 5, 1, 8, 1, 1, 4, 9, 9, 7, 4, 5, 6, 4, 7, 4, 5, 9, 1, 3, 5, 8, 9, 6, 2, 4, 4, 3, 6, 5, 1, 3, 2, 1, 8, 7, 8, 6, 8, 6, 6, 5, 4, 6, 4, 4, 4, 2, 6, 2, 8, 1, 5, 3, 8, 8, 5, 4, 5, 3, 3, 7, 4},
        {9, 7, 2, 2, 3, 4, 1, 7, 8, 3, 5, 1, 6, 5, 5, 8, 2, 5, 3, 6, 6, 6, 7, 4, 4, 7, 3, 7, 9, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 1, 3, 1, 6, 5, 5, 3, 1, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 8, 1, 2, 4, 5, 8, 4, 1, 2, 7, 7, 9, 7, 3, 8, 5, 2, 6, 1, 8, 5, 9, 5, 7, 9, 4, 9, 6, 1, 4, 3, 9, 7, 3, 2, 4, 7, 5, 3, 9, 5, 8, 2, 9, 1, 7, 5, 6, 1, 7, 7, 2, 5, 2, 4, 9, 2, 7, 4, 5, 2, 9, 7, 1, 7, 1, 2, 8, 9, 7, 3, 9, 6},
        {6, 5, 5, 7, 7, 4, 5, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 7, 8, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 5, 8, 8, 7, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 9, 8, 7, 6, 5, 1, 6, 2, 1, 9, 2, 3, 6, 7, 7, 1, 7, 5, 7, 5, 4, 5, 3, 7, 7, 5, 7, 8, 9, 1, 5, 4, 3, 8, 3, 9, 7, 5, 4, 7, 8, 8, 6, 7, 7, 1, 3, 7, 4, 5, 8, 4, 1, 6, 9, 8, 7, 9, 6, 7, 3, 6, 5, 8, 2, 6, 4, 6, 7, 3, 7},
        {8, 5, 9, 7, 4, 9, 8, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 9, 8, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 2, 8, 3, 9, 2, 7, 6, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 6, 5, 7, 6, 8, 5, 4, 9, 1, 8, 3, 8, 1, 3, 7, 1, 5, 4, 8, 6, 2, 2, 4, 2, 9, 9, 7, 6, 3, 1, 9, 7, 9, 6, 9, 6, 4, 3, 7, 1, 7, 1, 3, 6, 1, 5, 9, 7, 3, 8, 6, 1, 2, 8, 9, 5, 2, 7, 7, 4, 8, 9, 2, 2, 2, 4, 9, 6, 8, 1, 6, 2, 9},
        {2, 2, 1, 6, 9, 2, 1, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 4, 7, 5, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 6, 5, 7, 7, 8, 7, 5, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 8, 1, 5, 3, 9, 9, 7, 4, 1, 6, 9, 1, 5, 5, 7, 2, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 6, 8, 8, 3, 7, 6, 2, 6, 4, 5, 4, 9, 3, 8, 5, 1, 2, 6, 9, 8, 9, 5, 9, 9, 4, 4, 3, 1, 5, 4, 6, 5, 5, 2, 9, 1, 6, 9, 9, 1, 8, 1, 6, 8, 7, 6, 7},
        {8, 1, 7, 5, 3, 2, 1, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 4, 7, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 8, 4, 4, 8, 3, 1, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 3, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 5, 2, 7, 9, 8, 9, 1, 3, 6, 9, 3, 2, 1, 2, 4, 4, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 3, 1, 2, 5, 2, 5, 2, 3, 3, 5, 5, 9, 9, 7, 3, 1, 2, 3, 5, 4, 7, 6, 8, 3, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 2, 1, 4, 1, 6, 7, 6},
        {2, 1, 7, 7, 7, 7, 7, 4, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 9, 8, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 7, 8, 5, 3, 7, 3, 1, 8, 7, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 3, 1, 9, 4, 3, 4, 8, 4, 8, 1, 1, 4, 7, 8, 8, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 7, 2, 3, 9, 3, 7, 3, 2, 1, 2, 2, 2, 2, 2, 2, 9, 7, 7, 1, 1, 3, 4, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 9, 8, 2, 7, 5, 3},
        {9, 7, 4, 1, 9, 9, 7, 9, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 8, 5, 3, 9, 6, 8, 3, 1, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 1, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 7, 6, 6, 6, 9, 1, 2, 1, 1, 4, 3, 2, 9, 3, 4, 7, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 3, 4, 3, 5, 8, 2, 8, 9, 9, 1, 3, 8, 6, 4, 2, 1, 2, 8, 1, 7, 1, 1, 2, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 3, 2, 3, 3},
        {3, 3, 4, 9, 6, 2, 5, 9, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 9, 5, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 8, 7, 9, 7, 1, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 4, 3, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 7, 4, 7, 5, 3, 1, 4, 3, 9, 5, 2, 7, 5, 3, 4, 3, 3, 6, 1, 1, 1, 1, 1, 1, 1, 1, 3, 8, 1, 6, 6, 8, 7, 2, 9, 2, 4, 3, 2, 4, 9, 5, 7, 3, 6, 3, 1, 2, 2, 6, 8, 7, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 9, 1, 4, 1, 4, 5},
        {6, 1, 5, 1, 2, 1, 4, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 8, 2, 3, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 5, 5, 4, 9, 8, 4, 9, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 9, 7, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 6, 3, 4, 1, 7, 2, 4, 8, 8, 7, 1, 6, 3, 4, 3, 6, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 5, 9, 7, 4, 8, 1, 6, 3, 1, 5, 4, 2, 7, 4, 6, 2, 9, 8, 7, 6, 7, 4, 9, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 1, 4, 4, 9, 7, 7, 6},
        {5, 9, 5, 5, 3, 3, 4, 9, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 2, 5, 3, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 7, 9, 7, 3, 1, 8, 9, 2, 3, 1, 9, 2, 3, 3, 3, 2, 1, 1, 2, 2, 1, 6, 1, 6, 7, 3, 9, 3, 1, 9, 6, 9, 7, 5, 3, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 2, 9, 4, 3, 8, 7, 5, 8, 6, 6, 9, 5, 8, 8, 3, 7, 8, 4, 1, 1, 1, 1, 1, 1, 1, 1, 8, 3, 2, 2, 1, 9, 7, 3, 6, 6, 1, 9, 8, 6, 9, 6, 5, 2, 3, 9, 7, 7, 6, 3, 4, 8, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 3, 9, 2, 3, 1},
        {2, 2, 3, 7, 5, 8, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 5, 5, 3, 9, 5, 2, 1, 1, 8, 3, 1, 6, 1, 9, 4, 8, 9, 2, 6, 8, 9, 5, 3, 6, 8, 5, 8, 6, 1, 2, 8, 7, 6, 1, 3, 6, 9, 6, 3, 9, 2, 9, 9, 6, 5, 4, 3, 8, 6, 7, 4, 8, 1, 9, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 3, 9, 3, 8, 6, 7, 8, 2, 1, 4, 8, 4, 3, 3, 7, 6, 5, 9, 1, 1, 1, 1, 1, 1, 1, 1, 5, 6, 6, 4, 2, 7, 4, 5, 3, 2, 5, 8, 6, 5, 7, 9, 1, 2, 9, 9, 7, 8, 3, 8, 8, 2, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 7, 1, 3, 5, 4},
        {3, 6, 4, 1, 8, 5, 2, 3, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 3, 7, 5, 7, 4, 5, 3, 6, 5, 4, 4, 5, 7, 9, 4, 2, 1, 5, 9, 8, 1, 6, 5, 9, 7, 3, 1, 3, 8, 6, 5, 6, 9, 2, 4, 2, 9, 2, 2, 5, 9, 8, 7, 5, 8, 2, 2, 5, 9, 7, 5, 8, 6, 9, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 2, 1, 5, 3, 7, 9, 8, 7, 6, 5, 8, 4, 8, 7, 9, 1, 1, 5, 6, 5, 4, 3, 6, 6, 8, 9, 8, 1, 7, 9, 9, 6, 1, 1, 5, 1, 4, 6, 1, 5, 9, 7, 1, 9, 9, 9, 5, 1, 3, 7, 3, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 7, 2, 9, 5, 6},
        {7, 7, 8, 6, 5, 8, 1, 5, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 5, 1, 8, 5, 8, 9, 5, 7, 6, 9, 3, 5, 8, 9, 6, 8, 2, 9, 7, 1, 8, 5, 1, 7, 4, 3, 5, 1, 8, 4, 3, 8, 9, 2, 1, 9, 6, 9, 9, 6, 4, 5, 2, 9, 3, 1, 3, 7, 7, 7, 5, 8, 7, 1, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 5, 2, 9, 5, 1, 4, 3, 1, 2, 1, 2, 6, 5, 1, 3, 2, 6, 3, 5, 5, 9, 5, 5, 4, 1, 5, 5, 1, 2, 6, 7, 5, 8, 9, 6, 1, 5, 3, 2, 6, 6, 4, 8, 3, 5, 2, 1, 1, 9, 2, 2, 8, 4, 4, 1, 7, 1, 6, 1, 4, 2, 5, 4, 6, 5, 5, 4, 4, 8, 6, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 1, 5, 8, 9, 6},
        {5, 7, 9, 7, 3, 6, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 1, 7, 2, 7, 4, 4, 2, 8, 1, 5, 8, 4, 7, 1, 1, 2, 4, 5, 5, 2, 3, 1, 5, 2, 9, 2, 6, 6, 5, 5, 2, 1, 3, 6, 3, 9, 4, 4, 6, 2, 1, 7, 4, 8, 9, 9, 7, 7, 2, 1, 7, 7, 3, 7, 4, 1, 3, 2, 6, 9, 2, 3, 2, 5, 7, 1, 8, 8, 7, 6, 3, 5, 1, 5, 3, 3, 3, 1, 1, 7, 4, 7, 2, 3, 6, 1, 7, 2, 3, 4, 1, 8, 9, 7, 9, 1, 8, 7, 3, 8, 8, 1, 8, 1, 9, 8, 2, 3, 3, 5, 7, 9, 4, 4, 5, 8, 1, 9, 1, 1, 3, 8, 9, 3, 8, 6, 6, 2, 7, 3, 6, 6, 8, 5, 2, 6, 4, 2, 5, 4, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 4, 3, 6, 7, 1, 7},
        {2, 5, 3, 8, 8, 4, 9, 1, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 2, 6, 6, 5, 3, 2, 6, 3, 7, 6, 9, 4, 4, 8, 2, 2, 6, 2, 6, 7, 1, 2, 6, 4, 2, 5, 6, 2, 5, 9, 4, 2, 9, 8, 3, 5, 8, 8, 5, 8, 6, 9, 7, 7, 9, 2, 4, 4, 2, 6, 3, 6, 2, 4, 2, 9, 9, 9, 2, 9, 3, 9, 4, 5, 9, 9, 1, 8, 2, 1, 6, 2, 2, 3, 8, 9, 3, 8, 2, 4, 3, 5, 2, 6, 1, 8, 5, 9, 8, 4, 8, 4, 1, 2, 9, 3, 2, 4, 9, 5, 4, 4, 7, 4, 2, 9, 2, 1, 1, 7, 5, 1, 4, 6, 9, 2, 8, 9, 4, 1, 2, 1, 7, 9, 9, 2, 4, 1, 5, 6, 5, 7, 9, 4, 5, 8, 8, 4, 7, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 8, 4, 5, 6, 1, 1},
        {7, 9, 4, 3, 8, 3, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 2, 1, 5, 4, 1, 9, 8, 8, 5, 6, 4, 1, 7, 4, 7, 6, 4, 8, 8, 4, 1, 9, 6, 7, 8, 6, 2, 4, 2, 2, 8, 2, 6, 1, 1, 2, 9, 6, 8, 3, 9, 2, 7, 5, 3, 6, 3, 5, 1, 1, 4, 1, 5, 2, 5, 1, 4, 7, 6, 7, 2, 7, 8, 9, 3, 7, 1, 4, 8, 9, 5, 7, 9, 3, 1, 7, 2, 1, 8, 1, 7, 4, 6, 6, 2, 4, 6, 1, 5, 1, 4, 6, 2, 8, 4, 8, 5, 7, 4, 5, 2, 5, 4, 2, 3, 3, 2, 9, 7, 1, 1, 4, 4, 1, 1, 2, 1, 4, 1, 9, 5, 3, 5, 3, 8, 7, 2, 5, 1, 2, 1, 6, 5, 5, 3, 3, 1, 5, 1, 9, 4, 6, 8, 6, 7, 6, 6, 6, 1, 6, 2, 7, 7, 5, 3, 6, 7, 9, 9, 8},
        {3, 5, 1, 2, 2, 6, 1, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 8, 6, 8, 6, 4, 7, 9, 1, 3, 3, 4, 5, 7, 8, 2, 5, 5, 4, 8, 5, 9, 8, 7, 7, 9, 3, 6, 2, 6, 6, 9, 1, 2, 5, 1, 2, 2, 5, 2, 1, 3, 9, 7, 3, 3, 2, 3, 5, 3, 5, 7, 8, 2, 3, 7, 6, 1, 7, 7, 4, 8, 3, 3, 8, 3, 1, 7, 4, 3, 1, 1, 8, 6, 4, 1, 5, 5, 6, 6, 2, 4, 7, 2, 9, 9, 9, 3, 6, 7, 5, 2, 2, 4, 8, 3, 8, 1, 4, 4, 8, 8, 4, 4, 1, 6, 9, 9, 1, 9, 5, 3, 4, 3, 3, 8, 8, 5, 5, 9, 5, 9, 9, 8, 7, 5, 5, 5, 4, 4, 1, 7, 3, 5, 5, 8, 1, 8, 1, 1, 7, 9, 7, 3, 6, 3, 6, 3, 2, 7, 5, 2, 8, 9, 6, 5, 8, 8, 5, 8, 1, 2},
        {9, 6, 1, 4, 8, 2, 2, 3, 2, 9, 5, 1, 3, 7, 8, 9, 6, 7, 2, 2, 5, 5, 5, 7, 9, 3, 6, 2, 2, 7, 1, 8, 1, 2, 7, 7, 2, 1, 9, 5, 5, 1, 6, 6, 2, 8, 7, 7, 3, 7, 3, 7, 9, 6, 6, 2, 3, 9, 7, 1, 2, 7, 4, 3, 5, 5, 9, 8, 1, 5, 4, 1, 7, 4, 5, 7, 9, 4, 3, 3, 1, 6, 4, 7, 6, 1, 2, 6, 5, 6, 4, 4, 7, 5, 4, 5, 5, 8, 1, 6, 9, 4, 4, 6, 8, 9, 1, 8, 4, 1, 4, 2, 3, 9, 6, 1, 5, 9, 8, 4, 2, 3, 8, 8, 4, 1, 8, 2, 6, 1, 5, 8, 9, 8, 9, 3, 4, 8, 5, 3, 9, 2, 9, 4, 5, 7, 7, 3, 1, 2, 3, 8, 7, 5, 2, 8, 1, 7, 6, 4, 1, 8, 2, 5, 6, 8, 1, 8, 6, 4, 6, 7, 8, 4, 9, 2, 6, 6, 5, 5, 1, 2, 7, 3, 4, 1, 3, 3},
        {5, 6, 2, 5, 9, 1, 7, 6, 8, 8, 1, 4, 6, 8, 1, 5, 7, 5, 8, 7, 2, 9, 5, 3, 6, 9, 3, 1, 4, 9, 3, 3, 7, 3, 3, 3, 7, 3, 7, 3, 1, 1, 4, 5, 5, 7, 3, 7, 1, 5, 5, 4, 6, 3, 8, 2, 2, 5, 2, 2, 4, 5, 9, 7, 9, 5, 2, 6, 1, 6, 5, 9, 4, 3, 4, 7, 2, 9, 6, 3, 9, 4, 1, 8, 2, 4, 4, 3, 8, 1, 1, 8, 6, 2, 4, 4, 2, 3, 6, 7, 7, 2, 1, 4, 9, 1, 2, 2, 7, 2, 4, 2, 1, 9, 8, 8, 7, 5, 2, 9, 7, 1, 6, 5, 6, 8, 4, 2, 1, 7, 4, 2, 8, 3, 1, 4, 5, 9, 8, 8, 3, 9, 6, 1, 6, 8, 9, 1, 5, 5, 6, 4, 7, 6, 5, 3, 8, 6, 2, 4, 4, 5, 6, 7, 2, 4, 8, 1, 7, 1, 6, 3, 2, 9, 5, 1, 7, 6, 6, 8, 6, 6, 6, 2, 6, 1, 5, 2},
        {6, 4, 6, 4, 9, 2, 4, 4, 4, 9, 9, 9, 1, 7, 4, 9, 4, 7, 7, 2, 9, 8, 2, 7, 1, 8, 5, 3, 9, 6, 4, 3, 2, 4, 1, 8, 7, 8, 1, 4, 1, 3, 5, 2, 6, 7, 1, 8, 1, 7, 4, 7, 1, 2, 5, 8, 4, 1, 9, 4, 5, 4, 4, 4, 5, 3, 9, 4, 7, 1, 6, 3, 9, 3, 2, 2, 2, 8, 3, 2, 9, 8, 6, 2, 5, 6, 9, 6, 6, 7, 5, 6, 8, 1, 4, 8, 4, 2, 6, 4, 1, 8, 7, 4, 4, 6, 7, 3, 1, 5, 7, 8, 5, 8, 3, 4, 6, 8, 1, 2, 6, 1, 8, 9, 4, 4, 1, 7, 7, 9, 9, 1, 4, 5, 6, 7, 9, 5, 4, 7, 9, 4, 1, 8, 4, 9, 1, 4, 8, 4, 3, 1, 7, 4, 9, 4, 1, 2, 6, 4, 1, 7, 4, 4, 8, 8, 9, 3, 9, 8, 2, 8, 5, 7, 3, 1, 4, 7, 1, 8, 5, 2, 6, 8, 4, 4, 9, 5},
        {6, 5, 9, 3, 5, 4, 9, 7, 1, 8, 5, 6, 2, 8, 2, 6, 4, 9, 7, 2, 8, 4, 3, 5, 3, 7, 3, 3, 8, 8, 5, 6, 8, 4, 7, 3, 4, 7, 4, 3, 3, 1, 9, 7, 2, 8, 4, 6, 8, 2, 5, 7, 2, 1, 5, 2, 3, 9, 6, 7, 2, 5, 7, 9, 7, 7, 8, 6, 7, 8, 4, 8, 8, 3, 3, 5, 9, 7, 6, 8, 3, 1, 2, 2, 4, 6, 7, 3, 7, 3, 5, 2, 5, 8, 8, 9, 3, 7, 6, 9, 8, 2, 6, 3, 4, 3, 4, 1, 5, 9, 8, 5, 6, 5, 5, 5, 9, 2, 1, 9, 9, 1, 9, 3, 1, 4, 5, 1, 2, 4, 3, 9, 1, 3, 4, 9, 5, 9, 6, 4, 1, 3, 8, 3, 2, 8, 3, 5, 8, 8, 1, 9, 5, 1, 9, 8, 3, 5, 3, 5, 6, 6, 4, 4, 8, 5, 8, 9, 5, 2, 2, 9, 6, 9, 3, 4, 2, 2, 8, 2, 9, 7, 1, 1, 1, 1, 1, 8},
        {6, 2, 4, 1, 1, 1, 6, 3, 5, 5, 6, 8, 1, 6, 2, 2, 9, 9, 8, 1, 2, 6, 8, 6, 2, 8, 6, 7, 3, 8, 7, 9, 9, 6, 3, 3, 9, 9, 3, 9, 5, 9, 7, 9, 4, 7, 8, 7, 6, 9, 3, 9, 8, 2, 8, 4, 2, 6, 3, 1, 9, 4, 8, 7, 6, 5, 4, 6, 9, 1, 3, 3, 5, 8, 9, 1, 7, 3, 7, 5, 9, 4, 3, 3, 1, 8, 1, 8, 2, 1, 2, 5, 1, 2, 7, 7, 6, 7, 3, 2, 9, 8, 8, 4, 4, 8, 2, 2, 5, 9, 3, 3, 8, 7, 7, 2, 8, 7, 1, 4, 1, 3, 6, 7, 9, 6, 1, 7, 8, 6, 4, 7, 2, 3, 4, 2, 5, 5, 8, 5, 3, 7, 9, 7, 9, 3, 1, 8, 2, 6, 3, 4, 9, 4, 4, 3, 7, 4, 3, 3, 5, 2, 8, 5, 9, 8, 8, 1, 3, 6, 9, 7, 6, 8, 8, 3, 8, 9, 4, 2, 5, 9, 8, 3, 2, 4, 2, 2},
        {2, 7, 9, 5, 7, 5, 5, 7, 1, 6, 3, 7, 2, 1, 5, 9, 5, 2, 6, 8, 4, 6, 1, 9, 8, 9, 3, 3, 9, 8, 5, 5, 5, 2, 7, 1, 4, 2, 8, 1, 2, 7, 4, 7, 9, 3, 3, 7, 5, 8, 1, 7, 7, 6, 6, 6, 3, 7, 2, 6, 7, 4, 3, 5, 5, 7, 3, 5, 4, 4, 4, 3, 7, 5, 3, 8, 9, 6, 3, 6, 2, 8, 5, 7, 2, 9, 9, 2, 4, 5, 3, 5, 4, 8, 3, 9, 4, 8, 1, 8, 6, 4, 5, 8, 1, 6, 7, 8, 3, 3, 3, 2, 2, 6, 9, 5, 1, 6, 9, 5, 7, 5, 7, 7, 6, 1, 3, 3, 8, 5, 8, 6, 5, 4, 7, 8, 5, 4, 9, 4, 2, 6, 9, 7, 1, 9, 2, 6, 6, 4, 1, 8, 8, 4, 4, 6, 2, 1, 8, 3, 2, 5, 1, 3, 3, 9, 7, 5, 5, 6, 8, 2, 7, 3, 2, 1, 1, 6, 5, 7, 1, 9, 7, 8, 2, 6, 5, 1}
    };
    calculate((unsigned int*) altitude_map_20, 103, 188);
    printf("\n");
     
    return (EXIT_SUCCESS);
}