You should complete the below function and ensure it produces the correct output against all test cases possible within the constraints highlighted. The runtime of the program is important so it is best to use an algorithm in the code which will not timeout. Please ensure that the code passes all the possible test cases and ensure that it doesn't timeout

Counting Valleys Problem Submissions Leaderboard Discussions An avid hiker keeps meticulous records of their hikes. During the last hike that took exactly steps steps, for every step it was noted if it was an uphill, U, or a downhill, D step. Hikes always start and end at sea level, and each step up or down represents a 1 unit change in altitude. We define the following terms: Contest ends Submissions Max Score: 10 Difficulty: Eas 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. Rate This Ch 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. More Given the sequence of up and down steps during a hike, find and print the number of valleys walked through. Example steps = 8 path = [DDUUUUDD] The hiker first enters a valley 2 units deep. Then they climb out and up onto a mountain 2 units high. Finally, the hiker returns to sea level and ends the hike. Function Description Complete the counting Valleys 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 steps, the number of steps in the hike. The second line contains a single string path, of steps characters that describe the path. Constraints 2