LegoBlocks.c

#include <assert.h>
#include <ctype.h>
#include <limits.h>
#include <math.h>
#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

char* readline();
char* ltrim(char*);
char* rtrim(char*);
char** split_string(char*);

int parse_int(char*);

/*
 * Complete the 'legoBlocks' function below.
 *
 * The function is expected to return an INTEGER.
 * The function accepts following parameters:
 *  1. INTEGER n
 *  2. INTEGER m
 */

#define MOD 1000000007
#define MAX 1001

int legoTypes = 4;
long long legoBlocks(int n, int m) {
    int pieces[] = {1, 2, 3, 4};
    long long RowComb[MAX],ColumnComb[MAX],ColumnCombWithNoHoles[MAX];
    memset(RowComb, 0, sizeof(RowComb));
    RowComb[0] = 1;
    for (int i = 1; i <= m; i++) {
        for (int j = 0; j < legoTypes; j++) {
            if (i - pieces[j] >= 0)
            {
                RowComb[i] = (RowComb[i] + RowComb[i - pieces[j]]) % MOD;
            }
        }
    }

    for (int i = 1; i <= m; i++) {
        long long res = 1;
        for (int j = 1; j <= n; j++) {
            res = (res *RowComb[i]) % MOD;
        }
        ColumnComb[i] = res;
    }
    ColumnCombWithNoHoles[1] = ColumnComb[1];
    for (int i = 2; i <= m; i++) {
        ColumnCombWithNoHoles[i] = ColumnComb[i];
        for (int j = 1; j < i; j++) {
            ColumnCombWithNoHoles[i] = (MOD + ColumnCombWithNoHoles[i]-(ColumnCombWithNoHoles[j] * ColumnComb[i - j]) % MOD) % MOD;
        }
    }

    return(ColumnCombWithNoHoles[m]);
}

int main()
{
    FILE* fptr = fopen(getenv("OUTPUT_PATH"), "w");
    int t = parse_int(ltrim(rtrim(readline())));
    for (int t_itr = 0; t_itr < t; t_itr++) {
        char** first_multiple_input = split_string(rtrim(readline()));
        int n = parse_int(*(first_multiple_input + 0));
        int m = parse_int(*(first_multiple_input + 1));
        long long result = legoBlocks(n, m);
        fprintf(fptr, "%lld\n", result);
    }
    fclose(fptr);
    return 0;
}

char* readline() {
    size_t alloc_length = 1024;
    size_t data_length = 0;

    char* data = malloc(alloc_length);

    while (true) {
        char* cursor = data + data_length;
        char* line = fgets(cursor, alloc_length - data_length, stdin);

        if (!line) {
            break;
        }

        data_length += strlen(cursor);

        if (data_length < alloc_length - 1 || data[data_length - 1] == '\n') {
            break;
        }

        alloc_length <<= 1;

        data = realloc(data, alloc_length);

        if (!data) {
            data = '\0';

            break;
        }
    }

    if (data[data_length - 1] == '\n') {
        data[data_length - 1] = '\0';

        data = realloc(data, data_length);

        if (!data) {
            data = '\0';
        }
    } else {
        data = realloc(data, data_length + 1);

        if (!data) {
            data = '\0';
        } else {
            data[data_length] = '\0';
        }
    }

    return data;
}

char* ltrim(char* str) {
    if (!str) {
        return '\0';
    }

    if (!*str) {
        return str;
    }

    while (*str != '\0' && isspace(*str)) {
        str++;
    }

    return str;
}

char* rtrim(char* str) {
    if (!str) {
        return '\0';
    }

    if (!*str) {
        return str;
    }

    char* end = str + strlen(str) - 1;

    while (end >= str && isspace(*end)) {
        end--;
    }

    *(end + 1) = '\0';

    return str;
}

char** split_string(char* str) {
    char** splits = NULL;
    char* token = strtok(str, " ");

    int spaces = 0;

    while (token) {
        splits = realloc(splits, sizeof(char*) * ++spaces);

        if (!splits) {
            return splits;
        }

        splits[spaces - 1] = token;

        token = strtok(NULL, " ");
    }

    return splits;
}

int parse_int(char* str) {
    char* endptr;
    int value = strtol(str, &endptr, 10);

    if (endptr == str || *endptr != '\0') {
        exit(EXIT_FAILURE);
    }

    return value;
}