n soldiers stand in a circle. For each soldier his height ai is known. A reconnaissance unit can be made of such two neighbouring soldiers, whose heights difference is minimal, i.e. |ai - aj| is minimal. So each of them will be less noticeable with the other. Output any pair of soldiers that can form a reconnaissance unit.

Input

The first line contains integer n (2 ≤ n ≤ 100) — amount of soldiers. Then follow the heights of the soldiers in their order in the circle — n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 1000). The soldier heights are given in clockwise or counterclockwise direction.

Output

Output two integers — indexes of neighbouring soldiers, who should form a reconnaissance unit. If there are many optimum solutions, output any of them. Remember, that the soldiers stand in a circle.

Examples

Input

5
10 12 13 15 10


Output

5 1


Input

4
10 20 30 40


Output

1 2
import sys

def input():    return sys.stdin.readline().strip()
def iinput():   return int(input())
def rinput():   return map(int, sys.stdin.readline().strip().split()) 
def get_list(): return list(map(int, sys.stdin.readline().strip().split())) 


n=iinput()
a=list(map(int,input().split()))
b=[]
c=[]
for i in range(n-1):
    b.append(abs(a[i]-a[i+1]))
    c.append([i+1,i+2])
b.append(abs(a[0]-a[-1]))
c.append([1,n])
s=min(b)
i=b.index(s)
print(*c[i])
