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Is game chair useful for gamer winner?

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More gamer think that a good game chair can make gamer easily to win the game, since it can make their back and neck comfortable. My brother ask me to buy a game chair from Bzfuture. Is that really useful for decreasing the pain when he plays games, and can improve the rate of gaming win?

posted Nov 19 by Finley Mufutau
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+3 votes

A person has two piles of stones with him, one has n1 stones and the other has n2 stones. Fired up by boredom, he invented a game with the two piles.

  1. Before the start of the game person chooses an integer m.
  2. In the j-th move: He chooses a number xj such that 1 ≤ xj ≤ m, and removes xj stones from both the piles (this is only possible when both the piles have ≥ xj stones).
  3. The number chosen must be unique over all the moves in the game. That is, for all k < j, xj ≠ xk.
  4. The game stops when person is unable to make any more moves.
    Note: Person wants to make the moves in such a way that the sum of the number of stones remaining in the two piles is minimized.

Please help person find this.

The first line of input contains an integer T denoting the number of test cases.
Each test case consists of 1 line with three integers — n1, n2 and m — separated by single spaces.

For each test case, output a single line containing the minimum sum of the number of stones of two piles.

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