CF Educational Codeforces Round 50 (Rated for Div. 2) B Diagonal Walking v.2 ʕ •ᴥ•ʔ

3127 단어 CF
B. Diagonal Walking v.2
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Mikhail walks on a Cartesian plane. He starts at the point $$$(0, 0)$$$, and in one move he can go to any of eight adjacent points. For example, if Mikhail is currently at the point $$$(0, 0)$$$, he can go to any of the following points in one move:
  • $$$(1, 0)$$$;
  • $$$(1, 1)$$$;
  • $$$(0, 1)$$$;
  • $$$(-1, 1)$$$;
  • $$$(-1, 0)$$$;
  • $$$(-1, -1)$$$;
  • $$$(0, -1)$$$;
  • $$$(1, -1)$$$.

  • If Mikhail goes from the point $$$(x1, y1)$$$ to the point $$$(x2, y2)$$$ in one move, and $$$x1 e x2$$$ and $$$y1 e y2$$$, then such a move is called a diagonal move.
    Mikhail has $$$q$$$ queries. For the $$$i$$$-th query Mikhail's target is to go to the point $$$(n_i, m_i)$$$ from the point $$$(0, 0)$$$ in exactly $$$k_i$$$ moves. Among all possible movements he want to choose one with the maximum number of diagonal moves. Your task is to find the maximum number of diagonal moves or find that it is impossible to go from the point $$$(0, 0)$$$ to the point $$$(n_i, m_i)$$$ in $$$k_i$$$ moves.
    Note that Mikhail can visit any point any number of times (even the destination point!).
    Input
    The first line of the input contains one integer $$$q$$$ ($$$1\le q\le 10^4$$$) — the number of queries.
    Then $$$q$$$ lines follow. The $$$i$$$-th of these $$$q$$$ lines contains three integers $$$n_i$$$, $$$m_i$$$ and $$$k_i$$$ ($$$1\le n_i, m_i, k_i\le 10^{18}$$$) — $$$x$$$-coordinate of the destination point of the query, $$$y$$$-coordinate of the destination point of the query and the number of moves in the query, correspondingly.
    Output
    Print $$$q$$$ integers. The $$$i$$$-th integer should be equal to -1 if Mikhail cannot go from the point $$$(0, 0)$$$ to the point $$$(n_i, m_i)$$$ in exactly $$$k_i$$$ moves described above. Otherwise the $$$i$$$-th integer should be equal to the the maximum number of diagonal moves among all possible movements.
    Example
    Input
    3
    2 2 3
    4 3 7
    10 1 9
    

    Output
    1
    6
    -1
    

    Note
    One of the possible answers to the first test case: $$$(0, 0)\to (1, 0)\to (1, 1)\to (2, 2)$$$.
    One of the possible answers to the second test case: $$$(0, 0)\to (0, 1)\to (1, 2)\to (0, 3)\to (1, 4)\to (2, 3)\to (3, 2)\to (4, 3)$$$.
    In the third test case Mikhail cannot reach the point $$$(10, 1)$$$ in 9 moves.
    제목: q조의 샘플을 드리겠습니다. 각 조의 샘플은 3개수입니다. 각각 특정한 점의 x, y축의 좌표와 K보를 걸어야 합니다. (0, 0)에서 출발해야 합니다. K보가 (x, y) 출력에 도달하지 못하면 -1입니다. 그렇지 않으면 출력은 최대 몇 번의 대각선을 걸어야 합니다.
     
     
     
    #include
    #include
    #include
    #include
    #define ll long long
    using namespace std;
    int main()
    {
    	int t;
    	cin>>t;
    	while(t--)
    	{
    		ll n,m,k;
    		cin>>n>>m>>k;
    		if(n>k||m>k)//              K            
    		{
    			cout<

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