Problem: Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}.

He can perform the following operation any number of times:

* Operation: Choose integers x and y between 1 and N (inclusive), and add a_x to a_y.



He would like to perform this operation between 0 and 2N times (inclusive) so that a satisfies the condition below. Show one such sequence of operations. It can be proved that such a sequence of operations always exists under the constraints in this problem.

* Condition: a_1 \leq a_2 \leq ... \leq a_{N}

Constraints

* 2 \leq N \leq 50
* -10^{6} \leq a_i \leq 10^{6}
* All input values are integers.

Input

Input is given from Standard Input in the following format:


N
a_1 a_2 ... a_{N}


Output

Let m be the number of operations in your solution. In the first line, print m. In the i-th of the subsequent m lines, print the numbers x and y chosen in the i-th operation, with a space in between. The output will be considered correct if m is between 0 and 2N (inclusive) and a satisfies the condition after the m operations.

Examples

Input

3
-2 5 -1


Output

2
2 3
3 3


Input

2
-1 -3


Output

1
2 1


Input

5
0 0 0 0 0


Output

0

Solution (in PYTHON3):

Solution:
def main():
    n, *a = map(int, open(0).read().split())
    p, q = min(a), max(a)

    if p == q:
        print(0)
        exit()

    x = []
    f, g = a.index(p) + 1, a.index(q) + 1
    if abs(p) > abs(q):
        for i in range(n):
            if a[i] > 0:
                x.append((f, i + 1))
        for i in range(n - 1):
            x.append((n - i, n - i - 1))

    else:
        for i in range(n):
            if a[i] < 0:
                x.append((g, i + 1))
        for i in range(n - 1):
            x.append((i + 1, i + 2))

    print(len(x))
    y = ['{} {}'.format(i[0], i[1]) for i in x]
    print('\n'.join(y))


if __name__ == '__main__':
    main()