Number Spiral Lookup

The infinite spiral starts at the top-left cell. The first four rows and columns are shown below. Continue the same pattern in expanding square layers. Coordinates start at 1.

 1   2   9  10
 4   3   8  11
 5   6   7  12
16  15  14  13

Return one cell value without constructing the entire grid.

Implement number_spiral(row, column).

Input

row: The row counted from the top, starting at 1.

column: The column counted from the left, starting at 1.

Output

Return the number at that position.

Vincoli

1 ≤ row, column ≤ 1,000,000,000. The value fits a signed 64-bit integer.

Esempi

Input:
row = 3
column = 2

Output atteso:
expected = 6

Input:
long long row = 3;
long long column = 2;

Output atteso:
long long expected = 6;

Input:
long row = 3;
long column = 2;

Output atteso:
long expected = 6;

Input:
row = 1
column = 4

Output atteso:
expected = 10

Input:
long long row = 1;
long long column = 4;

Output atteso:
long long expected = 10;

Input:
long row = 1;
long column = 4;

Output atteso:
long expected = 10;

Riferimenti

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• Number Spiral — 1071