The National Championships are starting soon. There are
race categories, numbered from to , that Chef is interested in. Chef is participating in exactlyof these categories.
Chef has an arch-rival who is, unfortunately, the only person participating who is better than Chef, i.e, Chef can't defeat the arch-rival in any of the four race categories but can defeat anyone else. Chef's arch-rival is also participating in exactly
of the four categories.
Chef hopes to not fall into the same categories as that of the arch-rival.
Given
where are the races that Chef participates in, andare the races that Chef's arch-rival participates in, find the maximum number of gold medals (first place) that Chef can win.
Input Format
- The first line of input contains an integer
- respectively.
Output Format
- For each testcase, print a single line containing one integer — the maximum number of gold medals that Chef can win.
Constraints
Subtasks
Subtask #1 (100 points): Original constraints
Sample Input 1
3
4 3 1 2
4 2 1 2
2 1 1 2
Sample Output 1
2
1
0
Explanation
Test case
: Chef participates in the races , whereas Chef's rival participates in . As Chef's only rival does not participate in any of the races that Chef takes part in, Chef can win the gold medal in both of the races, thus the answer is.
Test case
: Chef participates in the races , whereas Chef's rival participates in . Chef cannot win race as Chef will be beaten by the arch-rival, however Chef can win the gold medal for race . Thus the answer is.
Test case
: Chef participates in the races , whereas Chef's rival participates in . Chef will be beaten by the arch-rival in both races, thus the answer is .
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