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A. Reconnaissance 2

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard output*n* soldiers stand in a circle. For each soldier his height *a*_{i} is known. A reconnaissance unit can be made of such two neighbouring soldiers, whose heights difference is minimal, i.e. |*a*_{i} - *a*_{j}| 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 *a*_{1}, *a*_{2}, ..., *a*_{n} (1 ≤ *a*_{i} ≤ 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

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