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 PYTHON):

Solution:
import sys
N=input()
#print N
a=[]
a=map(int,raw_input().split())
#print a

if max(a)==min(a):
	print 0
	sys.exit()
elif abs(max(a))>abs(min(a)):
	num=(max(a),a.index(max(a)))
else:
	num=(min(a),a.index(min(a)))
#print num

ans=[]
for i in range(N):
	a[i]+=num[0]
	ans.append((num[1]+1,i+1))

if num[0]>=0:
	for i in range(N-1):
		ans.append((i+1,i+2))
else:
	for i in range(N,1,-1):
		ans.append((i,i-1))

print len(ans)
for i,j in ans:
	print i,j