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:
# https://atcoder.jp/contests/abc081/tasks/arc086_b
# 全部負か全部正なら簡単。じゃその状態に持っていけないか考えるべきだよね？


import sys
read = sys.stdin.readline
ra = range
enu = enumerate


def read_ints():
    return list(map(int, read().split()))


def read_a_int():
    return int(read())


N = read_a_int()
A = read_ints()
ma, mi = max(A), min(A)
print(2 * N - 2)
if abs(ma) > abs(mi):  # すべて正にするのが良い
    x = A.index(ma)
    for y in range(N):
        if x == y:
            continue
        print(x + 1, y + 1)
    # 累積和みたいにすれば良い
    for i in range(1, N):
        print(i, i + 1)
else:  # すべて負にするのがよい
    x = A.index(mi)
    for y in range(N):
        if x == y:
            continue
        print(x + 1, y + 1)
    for i in range(N, 1, -1):
        print(i, i - 1)