5369_num_of_teams.py

'''
There are n soldiers standing in a line. Each soldier is assigned a unique rating value.

You have to form a team of 3 soldiers amongst them under the following rules:

Choose 3 soldiers with index (i, j, k) with rating (rating[i], rating[j], rating[k]).
A team is valid if:  (rating[i] < rating[j] < rating[k]) or (rating[i] > rating[j] > rating[k]) where (0 <= i < j < k < n).
Return the number of teams you can form given the conditions. (soldiers can be part of multiple teams).
Example 1:

Input: rating = [2,5,3,4,1]
Output: 3
Explanation: We can form three teams given the conditions. (2,3,4), (5,4,1), (5,3,1).
Example 2:

Input: rating = [2,1,3]
Output: 0
Explanation: We can't form any team given the conditions.
Example 3:

Input: rating = [1,2,3,4]
Output: 4

Constraints:

n == rating.length
1 <= n <= 200
1 <= rating[i] <= 10^5
'''
class Solution(object):
    def numTeams(self, rating):
        """
        :type rating: List[int]
        :rtype: int
        """
        n = len(rating)
        c = 0
        for i in range(n):
            for j in range(i, n):
                for k in range(j, n):
                    if rating[i] < rating[j] < rating[k] or rating[i] > rating[j] > rating[k]:
                        c += 1
        return c


s = Solution()
rating = [2,5,3,4,1]
res = s.numTeams(rating)
print(res)