Ruined Square

AtCoder

IDabc108_b

Time2000ms

Memory256MB

Difficulty—

There is a square in the $xy$\-plane. The coordinates of its four vertices are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ and $(x_4,y_4)$ in counter-clockwise order. (Assume that the positive $x$\-axis points right, and the positive $y$\-axis points up.) Takahashi remembers $(x_1,y_1)$ and $(x_2,y_2)$, but he has forgot $(x_3,y_3)$ and $(x_4,y_4)$. Given $x_1,x_2,y_1,y_2$, restore $x_3,y_3,x_4,y_4$. It can be shown that $x_3,y_3,x_4$ and $y_4$ uniquely exist and have integer values. ## Constraints * $|x_1|,|y_1|,|x_2|,|y_2| \leq 100$ * $(x_1,y_1)$ ≠ $(x_2,y_2)$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $x_1$ $y_1$ $x_2$ $y_2$ [samples]

Samples

Input #1

0 0 0 1

Output #1

\-1 1 -1 0

$(0,0),(0,1),(-1,1),(-1,0)$ is the four vertices of a square in counter-clockwise order. Note that $(x_3,y_3)=(1,1),(x_4,y_4)=(1,0)$ is not accepted, as the vertices are in clockwise order.

Input #2

2 3 6 6

Output #2

3 10 -1 7

Input #3

31 -41 -59 26

Output #3

\-126 -64 -36 -131

API Response (JSON)

{
  "problem": {
    "name": "Ruined Square",
    "description": {
      "content": "There is a square in the $xy$\\-plane. The coordinates of its four vertices are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ and $(x_4,y_4)$ in counter-clockwise order. (Assume that the positive $x$\\-axis points ri",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc108_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There is a square in the $xy$\\-plane. The coordinates of its four vertices are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ and $(x_4,y_4)$ in counter-clockwise order. (Assume that the positive $x$\\-axis points ri...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments