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2211\. Count Collisions on a Road
Medium
There are `n` cars on an infinitely long road. The cars are numbered from `0` to `n - 1` from left to right and each car is present at a **unique** point.
You are given a **0-indexed** string `directions` of length `n`. `directions[i]` can be either `'L'`, `'R'`, or `'S'` denoting whether the ith
car is moving towards the **left**, towards the **right**, or **staying** at its current point respectively. Each moving car has the **same speed**.
The number of collisions can be calculated as follows:
* When two cars moving in **opposite** directions collide with each other, the number of collisions increases by `2`.
* When a moving car collides with a stationary car, the number of collisions increases by `1`.
After a collision, the cars involved can no longer move and will stay at the point where they collided. Other than that, cars cannot change their state or direction of motion.
Return _the **total number of collisions** that will happen on the road_.
**Example 1:**
**Input:** directions = "RLRSLL"
**Output:** 5
**Explanation:** The collisions that will happen on the road are:
- Cars 0 and 1 will collide with each other. Since they are moving in opposite directions, the number of collisions becomes 0 + 2 = 2.
- Cars 2 and 3 will collide with each other. Since car 3 is stationary, the number of collisions becomes 2 + 1 = 3.
- Cars 3 and 4 will collide with each other. Since car 3 is stationary, the number of collisions becomes 3 + 1 = 4.
- Cars 4 and 5 will collide with each other. After car 4 collides with car 3, it will stay at the point of collision and get hit by car 5. The number of collisions becomes 4 + 1 = 5.
Thus, the total number of collisions that will happen on the road is 5.
**Example 2:**
**Input:** directions = "LLRR"
**Output:** 0
**Explanation:** No cars will collide with each other. Thus, the total number of collisions that will happen on the road is 0.
**Constraints:**
* 1 <= directions.length <= 105
* `directions[i]` is either `'L'`, `'R'`, or `'S'`.
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