Spiral

prb85 Numbers from 1 to N² recorded in a square matrix of NxN in a spiral starting from the top left cell in a clockwise direction, as shown in the figure. Find a number which is located in the i-th row and j-th column.

Specifications

Input

In the input file the natural numbers N, i, j (1 ≤ i, j ≤ N ≤ 100).

Output

The output file you want to record the number that has the coordinates of i, j.

Problem information

Time Limit: 1 seconds
Memory Limit: 64 MB
Balls for the passed test: 10
Complexity: 10% 265/295

Example

Example input

5 4 2

Example output

← Transfer

Problems

Waterpipe - 2 →