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:
n = int(input())
a = input().split()
a = [int(m) for m in a]
li = []
cnt = 0
if abs(min(a)) <= abs(max(a)):
    for i in range(1, n):
        while True:
            if a[i - 1] <= a[i]:
                break
            else:
                li.append([a.index(max(a)) + 1, i + 1])
                a[i] += max(a)
                cnt += 1

else:
    for i in range(1, n):
        while True:
            if a[-i] >= a[-i-1]:
                break
            else:
                li.append([a.index(min(a)) + 1, n - i])
                a[-i-1] += min(a)
                cnt += 1


print(cnt)
for i in range(cnt):
    print(li[i][0], li[i][1])