conting valleys

An avid hiker keeps meticulous records of their hikes. During the last hike that took exactly  steps, for every step it was noted if it was an uphill, , or a downhill,  step. Hikes always start and end at sea level, and each step up or down represents a  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 the sequence of up and down steps during a hike, find and print the number of valleys walked through.

Example

 

The hiker first enters a valley  units deep. Then they climb out and up onto a mountain  units high. Finally, the hiker returns to sea level and ends the hike.

Function Description

Complete the countingValleys function in the editor below.

countingValleys has the following parameter(s):

int steps: the number of steps on the hike
string path: a string describing the path
Returns

int: the number of valleys traversed
Input Format

The first line contains an integer , the number of steps in the hike.
The second line contains a single string , of  characters that describe the path.

Constraints

Sample Input

8
UDDDUDUU
Sample Output

1
Explanation

If we represent _ as sea level, a step up as /, and a step down as \, the hike can be drawn as:

_/\      _
   \    /
    \/\/
The hiker enters and leaves one valley.

Language
C++

=
Download
8
UDDDUDUU
Expected Output
1


#include <bits/stdc++.h>
#include<string.h>
using namespace std;

int main()
{
   int n;
   cin>>n;
   int count=0;
   int b=0;
   string a;
   cin>>a;
   for(int i=0;i<a.length();i++)
   
   {
       if(a[i]=='U'){
           count++;
       }
       else if(a[i]=='D')
       {
           count--;
       }
       if(a[i]=='U'&& count==0)
       {
           b++;
       }
   }
   cout<<b<<endl;
   return 0;

}