Count Weekend Days

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given n consecutive days whose first weekday is w (Monday=1, …, Saturday=6, Sunday=7), count Saturdays and Sundays among these n days; weekdays wrap around after Sunday.

Input

One line contains n w.

Output

Print the number of weekend days.

Subtasks

• Subtask 1 (20%): n ≤ 14, weekday 1..7.

• Subtask 2 (30%): n ≤ 365, weekday 1..7.

• Subtask 3 (50%): n ≤ 10^6, weekday 1..7.

Examples

Example 1

Input:

5 5

Output:

2

Explanation: The weekdays are 5,6,7,1,2; only 6 and 7 are weekends.

Example 2

Input:

7 1

Output:

2

Explanation: A full week contains two weekend days.

Example 3

Input:

1 7

Output:

1

Explanation: The only day is Sunday.