{"problem":{"name":"Push and Carry","description":{"content":"Takahashi and a cargo are on a coordinate plane. Takahashi is currently at $(X_A,Y_A)$, and the cargo is at $(X_B,Y_B)$. He wants to move the cargo to $(X_C,Y_C)$. When he is at $(x,y)$, he can make o","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc323_f"},"statements":[{"statement_type":"Markdown","content":"Takahashi and a cargo are on a coordinate plane.\nTakahashi is currently at $(X_A,Y_A)$, and the cargo is at $(X_B,Y_B)$. He wants to move the cargo to $(X_C,Y_C)$.\nWhen he is at $(x,y)$, he can make one of the following moves in a single action.\n\n*   Move to $(x+1,y)$. If the cargo is at $(x+1,y)$ before the move, move it to $(x+2,y)$.\n*   Move to $(x-1,y)$. If the cargo is at $(x-1,y)$ before the move, move it to $(x-2,y)$.\n*   Move to $(x,y+1)$. If the cargo is at $(x,y+1)$ before the move, move it to $(x,y+2)$.\n*   Move to $(x,y-1)$. If the cargo is at $(x,y-1)$ before the move, move it to $(x,y-2)$.\n\nFind the minimum number of actions required to move the cargo to $(X_C,Y_C)$.\n\n## Constraints\n\n*   $-10^{17}\\leq X_A,Y_A,X_B,Y_B,X_C,Y_C\\leq 10^{17}$\n*   $(X_A,Y_A)\\neq (X_B,Y_B)$\n*   $(X_B,Y_B)\\neq (X_C,Y_C)$\n*   All input values are integers.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$X_A$ $Y_A$ $X_B$ $Y_B$ $X_C$ $Y_C$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc323_f","tags":[],"sample_group":[["1 2 3 3 0 5","9\n\nTakahashi can move the cargo to $(0,5)$ in nine actions as follows.\n\n*   Move to $(2,2)$.\n*   Move to $(3,2)$.\n*   Move to $(3,3)$. The cargo moves to $(3,4)$.\n*   Move to $(3,4)$. The cargo moves to $(3,5)$.\n*   Move to $(4,4)$.\n*   Move to $(4,5)$.\n*   Move to $(3,5)$. The cargo moves to $(2,5)$.\n*   Move to $(2,5)$. The cargo moves to $(1,5)$.\n*   Move to $(1,5)$. The cargo moves to $(0,5)$.\n\nIt is impossible to move the cargo to $(0,5)$ in eight or fewer actions, so you should print $9$."],["0 0 1 0 -1 0","6"],["\\-100000000000000000 -100000000000000000 100000000000000000 100000000000000000 -100000000000000000 -100000000000000000","800000000000000003"]],"created_at":"2026-03-03 11:01:14"}}