Multidimensional Dynamic Array in C.c

//To demonstrate multi dimensional dynamic array in C, only had to write main function till processing query of type 1. rest was locked code stub
#include <stdio.h>
#include <stdlib.h>

/*
 * This stores the total number of books in each shelf.
 */
int* total_number_of_books;

/*
 * This stores the total number of pages in each book of each shelf.
 * The rows represent the shelves and the columns represent the books.
 */
int** total_number_of_pages;

int main()
{
    int total_number_of_shelves;
    scanf("%d", &total_number_of_shelves);
    total_number_of_books = (int *)malloc(sizeof(int)*total_number_of_shelves);
    int i;
    for(i=0;i<total_number_of_shelves;i++)
        total_number_of_books[i]=0;
    
    int j;
    total_number_of_pages = (int **)malloc(sizeof(int *)*total_number_of_shelves);
    for(j=0;j<total_number_of_shelves;j++)
        total_number_of_pages[j] = (int *)malloc(sizeof(int)*1100);
    
    
    
    int total_number_of_queries;
    scanf("%d", &total_number_of_queries);
    
    while (total_number_of_queries--) {
        int type_of_query;
        scanf("%d", &type_of_query);
        
        if (type_of_query == 1) {
            /*
             * Process the query of first type here.
             */
            int x, y;
            scanf("%d %d", &x, &y);
            total_number_of_pages[x][total_number_of_books[x]]=y;
            total_number_of_books[x]++;

        } else if (type_of_query == 2) {
            int x, y;
            scanf("%d %d", &x, &y);
            printf("%d\n", *(*(total_number_of_pages + x) + y));
        } else {
            int x;
            scanf("%d", &x);
            printf("%d\n", *(total_number_of_books + x));
        }
    }

    if (total_number_of_books) {
        free(total_number_of_books);
    }
    
    for (int i = 0; i < total_number_of_shelves; i++) {
        if (*(total_number_of_pages + i)) {
            free(*(total_number_of_pages + i));
        }
    }
    
    if (total_number_of_pages) {
        free(total_number_of_pages);
    }
    
    return 0;
}