largest_square_array-ivan.c

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

unsigned int measure_diagonal(
        // Need to treet the matrix as an mono-dimensinal array
        const unsigned int* matrix,
        const unsigned int rows,
        const unsigned int cols,
        const unsigned int x,
        const unsigned int y) {
    static unsigned int diagonal;
    static int curr_x; // I can't use unsigned because I need to detect "out of bound"
    static int curr_y;
            
    #ifdef DEBUG
        printf("Measure the Diagonal from cell: (%d, %d)\n", x, y);
        printf("Matrix size: (%d, %d)\n", cols, rows);
    #endif
    
    // Base value: diagonal = 1 - matrix of 1 element
    diagonal = 1;
    
    // Now we are going to scan "around" the right and bottom borders
    //  of the inner matrix ALREADY discovered.
    //  The starting point is the element in position [x,y]
    while ( 1 ) {
        #ifdef DEBUG
            printf("Current Diagonal for (%d,%d): %d\n", x, y, diagonal);
        #endif
        // If the area we are going to scan is outside the main matrix boundaries...
        if ( (x + diagonal) >= cols || (y + diagonal) >= rows ) {
            //... return the current diagonal as it is
            return diagonal;
        }
        
        curr_x = x + diagonal;
        curr_y = y;
        #ifdef DEBUG
            printf("curr_x(%d), curr_y(%d)\n", curr_x, curr_y);
        #endif
        
        do {
            #ifdef DEBUG
                printf("Comparing (%d, %d) with curr(%d, %d)\n", x,y, curr_x, curr_y);
            #endif
            // Check current element is equal to the Top-Left corner one
            if ( matrix[y * cols + x] != matrix[curr_y * cols + curr_x] ) {
                #ifdef DEBUG
                    printf("Diagonal for cell(%d, %d) is: %d\n", x, y, diagonal);
                #endif
                // If not, the diagonal calculated so far is the diagonal
                return diagonal;
            }
            
            // Determine what's next
            if ( curr_y < (y + diagonal) ) {
                // Move one row down in the matrix
                ++curr_y;
            } else {
                // Move one column left in the matrix
                --curr_x;
            }
        } while( (int)x <= curr_x ); // Until within the boundaries
        
        // Good! We discovered an even larger matrix
        ++diagonal;
    }
}

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 r, c;
    int temp_dimension = -1;
    
    for (r = 0; r < rows-1; r++) { // Avoid last row: would be 1 anyway
        for (c = 0; c < cols-1; c++) { // Avoid last column: would be 1 anyway
            if ( temp_dimension <= (int)(cols-c) && temp_dimension <= (int)(rows-r) ) {
                // Measure the diagonal of the matrix starting at position [r, c]
                temp_dimension = measure_diagonal(altitude_map, rows, cols, c, r);
    
                // Is it better then what we found so far?
                if (temp_dimension > best_dimension) {
                    best_dimension = temp_dimension;
                    best_col = c;
                    best_row = r;
                    best_number = altitude_map[r * cols + c];
                }
            }
            #ifdef DEBUG
                else {
                    printf("Skipped useless calculation at (%d, %d)\n", c, r);
                }
            #endif
        }
    }

    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},
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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);
}