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.