# Counting Valleys – HackerRank Problem solution

### Question:

Gary is an avid hiker. He tracks his hikes meticulously, paying close attention to small details like topography. During his last hike he took exactly n steps. For every step he took, he noted if it was an *uphill*, U, or a *downhill*, D step. Gary’s hikes start and end at sea level and each step up or down represents a 1 unit change in altitude. We define the following terms:

- A
*mountain*is a sequence of consecutive steps*above*sea level, starting with a step*up*from sea level and ending with a step*down*to sea level. - A
*valley*is a sequence of consecutive steps*below*sea level, starting with a step*down*from sea level and ending with a step*up*to sea level.

Given Gary’s sequence of *up* and *down* steps during his last hike, find and print the number of *valleys* he walked through.

For example, if Gary’s path is S= [DDUUUUDD], he first enters a valley 2 units deep. Then he climbs out an up onto a mountain unit high. Finally, he returns to sea level and ends his hike.

**Input**:

```
8
UDDDUDUU
```

Output

`1`

**Explanation**

If we represent `_`

as sea level, a step up as `/`

, and a step down as `\`

, Gary’s hike can be drawn as:

```
_/\ _
\ /
\/\/
```

He enters and leaves one valley.

Here is original problem on HackerRank

### Answer:

Solution Logic:

As mentioned above we will count the valley if Gary moved from sea level and come back again to sea level. In solution we need to check Gary’s moved sea level to get the solution.

- Iterate through each char in string
- If Gary moved up ‘U’ increases the sea level by one
- If Gary moved down decrease the sea level count by one.
- When Gary will start with down will consider sea level is 1 by default.