Friday, March 25, 2022

Chef and Races

 The National Championships are starting soon. There are 

race categories, numbered from to , that Chef is interested in. Chef is participating in exactly

of 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, and

are 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
, denoting the number of testcases. The description of
  • testcases follows.
  • Each testcase consists of a single line containing four space-separated integers — the values of
  • , and
    • 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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