Go Straight and Turn Right

AtCoder

IDabc244_b

Time2000ms

Memory256MB

Difficulty—

Consider an $xy$\-plane. The positive direction of the $x$\-axis is in the direction of east, and the positive direction of the $y$\-axis is in the direction of north. Takahashi is initially at point $(x, y) = (0, 0)$ and facing east (in the positive direction of the $x$\-axis). You are given a string $T = t_1t_2\ldots t_N$ of length $N$ consisting of `S` and `R`. Takahashi will do the following move for each $i = 1, 2, \ldots, N$ in this order. * If $t_i =$ `S`, Takahashi advances in the current direction by distance $1$. * If $t_i =$ `R`, Takahashi turns $90$ degrees clockwise without changing his position. As a result, Takahashi's direction changes as follows. * If he is facing east (in the positive direction of the $x$\-axis) before he turns, he will face south (in the negative direction of the $y$\-axis) after he turns. * If he is facing south (in the negative direction of the $y$\-axis) before he turns, he will face west (in the negative direction of the $x$\-axis) after he turns. * If he is facing west (in the negative direction of the $x$\-axis) before he turns, he will face north (in the positive direction of the $y$\-axis) after he turns. * If he is facing north (in the positive direction of the $y$\-axis) before he turns, he will face east (in the positive direction of the $x$\-axis) after he turns. Print the coordinates Takahashi is at after all the steps above have been done. ## Constraints * $1 \leq N \leq 10^5$ * $N$ is an integer. * $T$ is a string of length $N$ consisting of `S` and `R`. ## Input Input is given from Standard Input in the following format: $N$ $T$ [samples]

Samples

Input #1

4
SSRS

Output #1

2 -1

Takahashi is initially at $(0, 0)$ facing east. Then, he moves as follows.

1.  $t_1 =$ `S`, so he advances in the direction of east by distance $1$, arriving at $(1, 0)$.
2.  $t_2 =$ `S`, so he advances in the direction of east by distance $1$, arriving at $(2, 0)$.
3.  $t_3 =$ `R`, so he turns $90$ degrees clockwise, resulting in facing south.
4.  $t_4 =$ `S`, so he advances in the direction of south by distance $1$, arriving at $(2, -1)$.

Thus, Takahashi's final position, $(x, y) = (2, -1)$, should be printed.

Input #2

20
SRSRSSRSSSRSRRRRRSRR

Output #2

0 1

API Response (JSON)

{
  "problem": {
    "name": "Go Straight and Turn Right",
    "description": {
      "content": "Consider an $xy$\\-plane. The positive direction of the $x$\\-axis is in the direction of east, and the positive direction of the $y$\\-axis is in the direction of north.   Takahashi is initially at poin",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc244_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Consider an $xy$\\-plane. The positive direction of the $x$\\-axis is in the direction of east, and the positive direction of the $y$\\-axis is in the direction of north.  \nTakahashi is initially at poin...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments