The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Codeforces Beta Round 34 (Div. 2) |
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Finished |

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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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