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Count the frequency of each element in the given list

**Question:**
Write a function called `count_element_frequency` that takes a list as input and returns a dictionary containing the frequency of each element in the list. Use a for loop with `Counter` from the `collections` module to perform the counting.

**Example:**
Input: [1, 2, 2, 3, 3, 3, 4, 4, 4, 4]
Output: {1: 1, 2: 2, 3: 3, 4: 4}
from collections import Counter

def count_element_frequency(lst):
    """
    Counts the frequency of each element in the given list.

    Args:
    lst (list): The input list.

    Returns:
    dict: A dictionary containing the frequency of each element.
    """
    # TODO: Implement the count_element_frequency function
    pass