Conditional Fallthrough

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Start with s = 0. Execute switch(k): case 1 adds 1 and breaks if x > 0; case 2 adds 2 without a break; default adds 3. There is no break between case 2 and default. Print final s.

Input

One line contains integers k and x.

Output

Print the final integer s after leaving the switch.

Subtasks

• Subtask 1 (20%): k = 1 and 1 <= x <= 10.
• Subtask 2 (30%): k is 1 or 2, -10 <= x <= 10.
• Subtask 3 (50%): -10 <= k,x <= 10.

Examples

Example 1

Input

1 0

Output

6

Explanation

Case 1 adds 1; the condition is false, then case 2 adds 2 and default adds 3, yielding 6.

Example 2

Input

1 1

Output

1

Explanation

After adding 1, x > 0 triggers break, so the remaining cases are skipped.