Initial Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

LLM Generation

Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

Output

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    for(int i = 0; i < 8; i++) {
        for(int j = 0; j < 8; j++) {
            if(matrix[i][j] == 1) {
                if((i > 0 && matrix[i-1][j] == 1) ||
                   (i < 7 && matrix[i+1][j] == 1) ||
                   (j > 0 && matrix[i][j-1] == 1) ||
                   (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int countUnholyMatrices() {
    int count = 0;
    int matrix[8][8];
    
    for(int i = 0; i < 256; i++) {
        int temp = i;
        for(int j = 0; j < 8; j++) {
            for(int k = 0; k < 8; k++) {
                matrix[j][k] = temp % 2;
                temp /= 2;
            }
        }
        
        if(isUnholy(matrix)) {
            count++;
        }
    }
    
    return count;
}

int main() {
    int count = countUnholyMatrices();
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    return 0;
}
This program generates all possible 8x8 binary matrices and checks if each matrix is unholy by using the `isUnholy` function. The `countUnholyMatrices` function counts the total number of unholy matrices and returns the count. The main function then prints out the total number of unholy 8x8 matrices.

Extract Code

I extracted the following code from that output: 

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    for(int i = 0; i < 8; i++) {
        for(int j = 0; j < 8; j++) {
            if(matrix[i][j] == 1) {
                if((i > 0 && matrix[i-1][j] == 1) ||
                   (i < 7 && matrix[i+1][j] == 1) ||
                   (j > 0 && matrix[i][j-1] == 1) ||
                   (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int countUnholyMatrices() {
    int count = 0;
    int matrix[8][8];
    
    for(int i = 0; i < 256; i++) {
        int temp = i;
        for(int j = 0; j < 8; j++) {
            for(int k = 0; k < 8; k++) {
                matrix[j][k] = temp % 2;
                temp /= 2;
            }
        }
        
        if(isUnholy(matrix)) {
            count++;
        }
    }
    
    return count;
}

int main() {
    int count = countUnholyMatrices();
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    return 0;
}

Run Code Interpreter

Running the following program: 

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    for(int i = 0; i < 8; i++) {
        for(int j = 0; j < 8; j++) {
            if(matrix[i][j] == 1) {
                if((i > 0 && matrix[i-1][j] == 1) ||
                   (i < 7 && matrix[i+1][j] == 1) ||
                   (j > 0 && matrix[i][j-1] == 1) ||
                   (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int countUnholyMatrices() {
    int count = 0;
    int matrix[8][8];
    
    for(int i = 0; i < 256; i++) {
        int temp = i;
        for(int j = 0; j < 8; j++) {
            for(int k = 0; k < 8; k++) {
                matrix[j][k] = temp % 2;
                temp /= 2;
            }
        }
        
        if(isUnholy(matrix)) {
            count++;
        }
    }
    
    return count;
}

int main() {
    int count = countUnholyMatrices();
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    return 0;
}
And got the output: Total number of unholy 8x8 matrices: 55

Substring Evaluation

Testing if the previous output contains the string 1121231537486377866: False

Initial Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

LLM Generation

Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

Output

Here is a C program that counts the total number of unholy 8x8 matrices: 

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#include <stdio.h>

int isUnholy(int mat[8][8]) {
    int i, j;
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (mat[i][j] == 1) {
                if ((i > 0 && mat[i-1][j] == 1) || (i < 7 && mat[i+1][j] == 1) ||
                    (j > 0 && mat[i][j-1] == 1) || (j < 7 && mat[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    int mat[8][8] = {0};
    
    for (int i = 0; i < 256; i++) {
        int num = i;
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                mat[j][k] = num % 2;
                num = num / 2;
            }
        }
        if (isUnholy(mat)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}
This program generates all possible 8x8 matrices with 1s and 0s and checks if each matrix is unholy using the `isUnholy` function. It then counts the total number of unholy matrices and prints the result.

Extract Code

I extracted the following code from that output: 

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#include <stdio.h>

int isUnholy(int mat[8][8]) {
    int i, j;
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (mat[i][j] == 1) {
                if ((i > 0 && mat[i-1][j] == 1) || (i < 7 && mat[i+1][j] == 1) ||
                    (j > 0 && mat[i][j-1] == 1) || (j < 7 && mat[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    int mat[8][8] = {0};
    
    for (int i = 0; i < 256; i++) {
        int num = i;
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                mat[j][k] = num % 2;
                num = num / 2;
            }
        }
        if (isUnholy(mat)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}

Run Code Interpreter

Running the following program: 

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#include <stdio.h>

int isUnholy(int mat[8][8]) {
    int i, j;
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (mat[i][j] == 1) {
                if ((i > 0 && mat[i-1][j] == 1) || (i < 7 && mat[i+1][j] == 1) ||
                    (j > 0 && mat[i][j-1] == 1) || (j < 7 && mat[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    int mat[8][8] = {0};
    
    for (int i = 0; i < 256; i++) {
        int num = i;
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                mat[j][k] = num % 2;
                num = num / 2;
            }
        }
        if (isUnholy(mat)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}
And got the output: Total number of unholy 8x8 matrices: 55

Substring Evaluation

Testing if the previous output contains the string 1121231537486377866: False

Initial Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

LLM Generation

Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

Output

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) ||
                    (i < 7 && matrix[i+1][j] == 1) ||
                    (j > 0 && matrix[i][j-1] == 1) ||
                    (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    
    for (int i = 0; i < 256; i++) {
        int matrix[8][8];
        int num = i;
        
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                matrix[j][k] = num % 2;
                num /= 2;
            }
        }
        
        if (is_unholy(matrix)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}
This program generates all possible 8x8 binary matrices and checks if each matrix is unholy using the `is_unholy` function. It then counts the total number of unholy matrices and prints out the result.

Extract Code

I extracted the following code from that output: 

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) ||
                    (i < 7 && matrix[i+1][j] == 1) ||
                    (j > 0 && matrix[i][j-1] == 1) ||
                    (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    
    for (int i = 0; i < 256; i++) {
        int matrix[8][8];
        int num = i;
        
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                matrix[j][k] = num % 2;
                num /= 2;
            }
        }
        
        if (is_unholy(matrix)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}

Run Code Interpreter

Running the following program: 

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) ||
                    (i < 7 && matrix[i+1][j] == 1) ||
                    (j > 0 && matrix[i][j-1] == 1) ||
                    (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    return 1;
}

int main() {
    int count = 0;
    
    for (int i = 0; i < 256; i++) {
        int matrix[8][8];
        int num = i;
        
        for (int j = 0; j < 8; j++) {
            for (int k = 0; k < 8; k++) {
                matrix[j][k] = num % 2;
                num /= 2;
            }
        }
        
        if (is_unholy(matrix)) {
            count++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", count);
    
    return 0;
}
And got the output: Total number of unholy 8x8 matrices: 55

Substring Evaluation

Testing if the previous output contains the string 1121231537486377866: False

Initial Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

LLM Generation

Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

Output

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    int i, j;
    
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) || (i < 7 && matrix[i+1][j] == 1) || (j > 0 && matrix[i][j-1] == 1) || (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    
    return 1;
}

int main() {
    int total_unholy = 0;
    int matrix[8][8];
    int i, j;
    
    // Generate all possible binary 8x8 matrices
    for (i = 0; i < 256; i++) {
        for (j = 0; j < 8; j++) {
            matrix[j][0] = (i >> j) & 1;
            matrix[j][1] = (i >> (j+8)) & 1;
            matrix[j][2] = (i >> (j+16)) & 1;
            matrix[j][3] = (i >> (j+24)) & 1;
            matrix[j][4] = (i >> (j+32)) & 1;
            matrix[j][5] = (i >> (j+40)) & 1;
            matrix[j][6] = (i >> (j+48)) & 1;
            matrix[j][7] = (i >> (j+56)) & 1;
        }
        
        if (is_unholy(matrix)) {
            total_unholy++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", total_unholy);
    
    return 0;
}
This program generates all possible binary 8x8 matrices and checks if they are unholy according to the given criteria. It then counts the total number of unholy matrices and prints the result.

Extract Code

I extracted the following code from that output: 

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    int i, j;
    
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) || (i < 7 && matrix[i+1][j] == 1) || (j > 0 && matrix[i][j-1] == 1) || (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    
    return 1;
}

int main() {
    int total_unholy = 0;
    int matrix[8][8];
    int i, j;
    
    // Generate all possible binary 8x8 matrices
    for (i = 0; i < 256; i++) {
        for (j = 0; j < 8; j++) {
            matrix[j][0] = (i >> j) & 1;
            matrix[j][1] = (i >> (j+8)) & 1;
            matrix[j][2] = (i >> (j+16)) & 1;
            matrix[j][3] = (i >> (j+24)) & 1;
            matrix[j][4] = (i >> (j+32)) & 1;
            matrix[j][5] = (i >> (j+40)) & 1;
            matrix[j][6] = (i >> (j+48)) & 1;
            matrix[j][7] = (i >> (j+56)) & 1;
        }
        
        if (is_unholy(matrix)) {
            total_unholy++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", total_unholy);
    
    return 0;
}

Run Code Interpreter

Running the following program: 

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#include <stdio.h>

int is_unholy(int matrix[8][8]) {
    int i, j;
    
    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i > 0 && matrix[i-1][j] == 1) || (i < 7 && matrix[i+1][j] == 1) || (j > 0 && matrix[i][j-1] == 1) || (j < 7 && matrix[i][j+1] == 1)) {
                    return 0;
                }
            }
        }
    }
    
    return 1;
}

int main() {
    int total_unholy = 0;
    int matrix[8][8];
    int i, j;
    
    // Generate all possible binary 8x8 matrices
    for (i = 0; i < 256; i++) {
        for (j = 0; j < 8; j++) {
            matrix[j][0] = (i >> j) & 1;
            matrix[j][1] = (i >> (j+8)) & 1;
            matrix[j][2] = (i >> (j+16)) & 1;
            matrix[j][3] = (i >> (j+24)) & 1;
            matrix[j][4] = (i >> (j+32)) & 1;
            matrix[j][5] = (i >> (j+40)) & 1;
            matrix[j][6] = (i >> (j+48)) & 1;
            matrix[j][7] = (i >> (j+56)) & 1;
        }
        
        if (is_unholy(matrix)) {
            total_unholy++;
        }
    }
    
    printf("Total number of unholy 8x8 matrices: %d\n", total_unholy);
    
    return 0;
}
And got the output: Total number of unholy 8x8 matrices: 55

Substring Evaluation

Testing if the previous output contains the string 1121231537486377866: False

Initial Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

LLM Generation

Query

A binary 8x8 matrix is 'unholy' if there are no isolated 1s. A 1 is isolated if there isn't another 1 in any of the 4 direct cardinal directions. Write a C program that counts the total number of unholy 8x8 matricies.

Output

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    int i, j;
    int isolatedCount = 0;

    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i == 0 || matrix[i-1][j] == 0) &&
                    (i == 7 || matrix[i+1][j] == 0) &&
                    (j == 0 || matrix[i][j-1] == 0) &&
                    (j == 7 || matrix[i][j+1] == 0)) {
                    isolatedCount++;
                }
            }
        }
    }

    if (isolatedCount == 0) {
        return 1;
    } else {
        return 0;
    }
}

int main() {
    int totalUnholyMatrices = 0;
    int matrix[8][8] = {
        {1, 0, 0, 0, 0, 0, 0, 0},
        {0, 1, 0, 0, 0, 0, 0, 0},
        {0, 0, 1, 0, 0, 0, 0, 0},
        {0, 0, 0, 1, 0, 0, 0, 0},
        {0, 0, 0, 0, 1, 0, 0, 0},
        {0, 0, 0, 0, 0, 1, 0, 0},
        {0, 0, 0, 0, 0, 0, 1, 0},
        {0, 0, 0, 0, 0, 0, 0, 1}
    };

    if (isUnholy(matrix)) {
        totalUnholyMatrices++;
    }

    printf("Total number of unholy matrices: %d\n", totalUnholyMatrices);

    return 0;
}
This program defines a function `isUnholy` that checks if a given 8x8 matrix is unholy according to the specified criteria. The main function then creates a sample matrix and checks if it is unholy using the `isUnholy` function. Finally, it prints the total number of unholy matrices found.

Extract Code

I extracted the following code from that output: 

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    int i, j;
    int isolatedCount = 0;

    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i == 0 || matrix[i-1][j] == 0) &&
                    (i == 7 || matrix[i+1][j] == 0) &&
                    (j == 0 || matrix[i][j-1] == 0) &&
                    (j == 7 || matrix[i][j+1] == 0)) {
                    isolatedCount++;
                }
            }
        }
    }

    if (isolatedCount == 0) {
        return 1;
    } else {
        return 0;
    }
}

int main() {
    int totalUnholyMatrices = 0;
    int matrix[8][8] = {
        {1, 0, 0, 0, 0, 0, 0, 0},
        {0, 1, 0, 0, 0, 0, 0, 0},
        {0, 0, 1, 0, 0, 0, 0, 0},
        {0, 0, 0, 1, 0, 0, 0, 0},
        {0, 0, 0, 0, 1, 0, 0, 0},
        {0, 0, 0, 0, 0, 1, 0, 0},
        {0, 0, 0, 0, 0, 0, 1, 0},
        {0, 0, 0, 0, 0, 0, 0, 1}
    };

    if (isUnholy(matrix)) {
        totalUnholyMatrices++;
    }

    printf("Total number of unholy matrices: %d\n", totalUnholyMatrices);

    return 0;
}

Run Code Interpreter

Running the following program: 

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#include <stdio.h>

int isUnholy(int matrix[8][8]) {
    int i, j;
    int isolatedCount = 0;

    for (i = 0; i < 8; i++) {
        for (j = 0; j < 8; j++) {
            if (matrix[i][j] == 1) {
                if ((i == 0 || matrix[i-1][j] == 0) &&
                    (i == 7 || matrix[i+1][j] == 0) &&
                    (j == 0 || matrix[i][j-1] == 0) &&
                    (j == 7 || matrix[i][j+1] == 0)) {
                    isolatedCount++;
                }
            }
        }
    }

    if (isolatedCount == 0) {
        return 1;
    } else {
        return 0;
    }
}

int main() {
    int totalUnholyMatrices = 0;
    int matrix[8][8] = {
        {1, 0, 0, 0, 0, 0, 0, 0},
        {0, 1, 0, 0, 0, 0, 0, 0},
        {0, 0, 1, 0, 0, 0, 0, 0},
        {0, 0, 0, 1, 0, 0, 0, 0},
        {0, 0, 0, 0, 1, 0, 0, 0},
        {0, 0, 0, 0, 0, 1, 0, 0},
        {0, 0, 0, 0, 0, 0, 1, 0},
        {0, 0, 0, 0, 0, 0, 0, 1}
    };

    if (isUnholy(matrix)) {
        totalUnholyMatrices++;
    }

    printf("Total number of unholy matrices: %d\n", totalUnholyMatrices);

    return 0;
}
And got the output: Total number of unholy matrices: 0

Substring Evaluation

Testing if the previous output contains the string 1121231537486377866: False