Python Solution
Code\n\nfrom typing import List\n\nclass Solution:\n    def numTeams(self, rating: List[int]) -> int:\n        n = len(rating)\n        count = 0\n        \n   
# Code\n```\nfrom typing import List\n\nclass Solution:\n    def numTeams(self, rating: List[int]) -> int:\n        n = len(rating)\n        count = 0\n        \n        for j in range(n):\n            leftLess = leftGreater = rightLess = rightGreater = 0\n\n            for i in range(j):\n                if rating[i] < rating[j]:\n                    leftLess += 1\n                elif rating[i] > rating[j]:\n                    leftGreater += 1\n            \n            for k in range(j + 1, n):\n                if rating[k] < rating[j]:\n                    rightLess += 1\n                elif rating[k] > rating[j]:\n                    rightGreater += 1\n            \n            count += leftLess * rightGreater + leftGreater * rightLess\n        \n        return count\n\n```\n `rating = [2, 5, 3, 4, 1]` \n\n### Step-by-Step Execution    \n\n1. **Initialize the class and method:**\n\n```python\nclass Solution:\n    def numTeams(self, rating: List[int]) -> int:\n        n = len(rating)\n        count = 0\n```\n\n2. **Loop through each soldier as the middle soldier `j`:**\n\n```python\n        for j in range(n):\n            leftLess = leftGreater = rightLess = rightGreater = 0\n```\n\n3. **For each `j`, count the soldiers before and after `j`:**\n\nLet\'s go through each iteration in detail:\n\n### Iteration 1: `j = 0` (rating[0] = 2)\n- **Left counts** (None, as there are no elements before index 0):\n  - `leftLess = 0`\n  - `leftGreater = 0`\n\n- **Right counts**:\n  - `rating[1] = 5` (greater than 2): `rightGreater = 1`\n  - `rating[2] = 3` (greater than 2): `rightGreater = 2`\n  - `rating[3] = 4` (greater than 2): `rightGreater = 3`\n  - `rating[4] = 1` (less than 2): `rightLess = 1`\n\n- **Calculate valid teams**:\n  - `count += leftLess * rightGreater + leftGreater * rightLess = 0 * 3 + 0 * 1 = 0`\n\n### Iteration 2: `j = 1` (rating[1] = 5)\n- **Left counts**:\n  - `rating[0] = 2` (less than 5): `leftLess = 1`\n\n- **Right counts**:\n  - `rating[2] = 3` (less than 5): `rightLess = 1`\n  - `rating[3] = 4` (less than 5): `rightLess = 2`\n  - `rating[4] = 1` (less than 5): `rightLess = 3`\n\n- **Calculate valid teams**:\n  - `count += leftLess * rightGreater + leftGreater * rightLess = 1 * 0 + 0 * 3 = 0`\n\n### Iteration 3: `j = 2` (rating[2] = 3)\n- **Left counts**:\n  - `rating[0] = 2` (less than 3): `leftLess = 1`\n  - `rating[1] = 5` (greater than 3): `leftGreater = 1`\n\n- **Right counts**:\n  - `rating[3] = 4` (greater than 3): `rightGreater = 1`\n  - `rating[4] = 1` (less than 3): `rightLess = 1`\n\n- **Calculate valid teams**:\n  - `count += leftLess * rightGreater + leftGreater * rightLess = 1 * 1 + 1 * 1 = 2`\n\n### Iteration 4: `j = 3` (rating[3] = 4)\n- **Left counts**:\n  - `rating[0] = 2` (less than 4): `leftLess = 1`\n  - `rating[1] = 5` (greater than 4): `leftGreater = 1`\n  - `rating[2] = 3` (less than 4): `leftLess = 2`\n\n- **Right counts**:\n  - `rating[4] = 1` (less than 4): `rightLess = 1`\n\n- **Calculate valid teams**:\n  - `count += leftLess * rightGreater + leftGreater * rightLess = 2 * 0 + 1 * 1 = 1`\n\n### Iteration 5: `j = 4` (rating[4] = 1)\n- **Left counts**:\n  - `rating[0] = 2` (greater than 1): `leftGreater = 1`\n  - `rating[1] = 5` (greater than 1): `leftGreater = 2`\n  - `rating[2] = 3` (greater than 1): `leftGreater = 3`\n  - `rating[3] = 4` (greater than 1): `leftGreater = 4`\n\n- **Right counts** (None, as there are no elements after index 4):\n  - `rightLess = 0`\n  - `rightGreater = 0`\n\n- **Calculate valid teams**:\n  - `count += leftLess * rightGreater + leftGreater * rightLess = 0 * 0 + 4 * 0 = 0`\n\n### Final count:\n\nAdding up all the counts from each iteration, we get `0 + 0 + 2 + 1 + 0 = 3`.\n\n4. **Return the final count:**\n\n```python\n        return count\n```\n
['Python3']