human
I found an interesting problem on https://leetcode.com/problems/count-number-of-teams/:
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

I tried it in Python, but could not do it. Can you solve it?

Give me a the Python program you requested?
assistant
#Here is the Python program you requested.

class Solution:
    def numTeams(self, rating):
        self.count = 0
        def dfs(soldier, idx):
            if len(soldier) == 3:
                if soldier[0] < soldier[1] < soldier[2] or soldier[0] > soldier[1] > soldier[2]:
                    self.count += 1
                return
                # 5 % 3
            for i in range(idx, len(rating)):
                soldier.append(rating[i])
                dfs(soldier, i + 1)
                soldier.pop()
        dfs([],0)
        return self.count