Printing braces

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

unsigned long pairs_count;
unsigned long *brackets;
unsigned long found = 0;

void print_result()
{
    unsigned long i, j;

    for (i = 0; i < pairs_count; i++) {
    printf("(");

    for (j = 0; j < pairs_count; j++)
        if (brackets[j] == i)
        printf(")");
    }

    printf("n");
    found++;
}

void step(unsigned long start_val, unsigned long pos)
{
    unsigned long k, i;

    if (start_val > pos)
    k = start_val;
    else
    k = pos;

    for (i = k; i < pairs_count; i++) {
    brackets[pos] = i;

    if (pos == pairs_count - 1)
        print_result();
    else
        step(i, pos + 1);
    }
}

int main()
{

    scanf("%d", &pairs_count);

    brackets = new unsigned long[pairs_count];

    if (!brackets) {
    printf("Unsufficient memory.n");
    return (0);
    }

    step(0, 0);

    delete brackets;

    printf("Found: %d.n", found);

    return (0);
}