Rotating Cutter Bits

Example

Input

4 6 5 -2 5 -2 -1 2 -1 2 5 -2 1 -2 0 0 0 0 -2 2 -2 2 1

Output

8

inputFormat

Input

4 6 5 -2 5 -2 -1 2 -1 2 5 -2 1 -2 0 0 0 0 -2 2 -2 2 1

outputFormat

Output

8

样例

4 6 5
-2 5
-2 -1
2 -1
2 5
-2 1
-2 0
0 0
0 -2
2 -2
2 1

8