

--------------------------------------------------Mbpp/2--------------------------------------------------

<s> """
Write a function to find the shared elements from the given two lists.
assert set(similar_elements((3, 4, 5, 6),(5, 7, 4, 10))) == set((4, 5))
"""


def similar_elements(list1, list2):
    """
    Write a function to find the shared elements from the given two lists.
    assert set(similar_elements((3, 4, 5, 6),(5, 7, 4, 10))) == set((4, 5))
    """
    return set(list1).intersection(set(list2))




--------------------------------------------------Mbpp/3--------------------------------------------------

<s> """
Write a python function to identify non-prime numbers.
assert is_not_prime(2) == False
"""


def is_not_prime(num):
    """
    Write a python function to identify non-prime numbers.
    assert is_not_prime(2) == False
    """
    if num < 2:
        return True
    for i in range(2, num):
        if num % i == 0:
            return True
    return False




--------------------------------------------------Mbpp/4--------------------------------------------------

<s> """
Write a function to find the n largest integers from a given list of numbers, returned in descending order.
assert heap_queue_largest( [25, 35, 22, 85, 14, 65, 75, 22, 58],3)==[85, 75, 65]
"""


def heap_queue_largest(nums, n):
    """
    :param nums: list of numbers
    :param n: number of largest integers
    :return: descending order list of n largest integers
    """
    heap = []
    for num in nums:
        if len(heap) < n:
            heapq.heappush(heap, num)
        else:
            if num > heap[0]:
                heapq.heappop(heap)
                heapq.heappush(heap, num)
    return heap




--------------------------------------------------Mbpp/6--------------------------------------------------

<s> """
Write a python function to check whether the two numbers differ at one bit position only or not.
assert differ_At_One_Bit_Pos(13,9) == True
"""


def differ_At_One_Bit_Pos(num1, num2):
    if num1 == num2:
        return False
    else:
        num1 = bin(num1)[2:]
        num2 = bin(num2)[2:]
        if len(num1) != len(num2):
            return False
        else:
            for i in range(len(num1)):
                if num1[i] != num2[i]:
                    return True
            return False




--------------------------------------------------Mbpp/7--------------------------------------------------

<s> """
Write a function to find all words which are at least 4 characters long in a string.
assert set(find_char_long('Please move back to stream')) == set(['Please', 'move', 'back', 'stream'])
"""


def find_char_long(string):
    words = string.split()
    return [word for word in words if len(word) >= 4]




--------------------------------------------------Mbpp/8--------------------------------------------------

<s> """
Write a function to find squares of individual elements in a list.
assert square_nums([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])==[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
"""


def square_nums(nums):
    """
    Write a function to find squares of individual elements in a list.
    assert square_nums([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])==[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
    """
    return [num ** 2 for num in nums]




--------------------------------------------------Mbpp/9--------------------------------------------------

<s> """
Write a python function to find the minimum number of rotations (greater than 0) required to get the same string.
assert find_Rotations("aaaa") == 1
"""


def find_rotations(string):
    """
    >>> find_rotations("aaaa")
    1
    >>> find_rotations("abcd")
    1
    >>> find_rotations("abcdabcd")
    2
    >>> find_rotations("abcdabcdabcd")
    3
    >>> find_rotations("abcdabcdabcdabcd")
    4
    >>> find_rotations("abcdabcdabcdabcdabcd")
    5
    >>> find_rotations("abcdabcdabcdabcdabcdabcd")
    6
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcd")
    7
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcd")
    8
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcd")
    9
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    10
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    11
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    12
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    13
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    14
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    15
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    16
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    17
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    18
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    19
    >>> find_rotations("abcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcdabcd")
    20
    >>> find_rotations("

--------------------------------------------------Mbpp/11--------------------------------------------------

<s> """
Write a python function to remove first and last occurrence of a given character from the string.
assert remove_Occ("hello","l") == "heo"
"""


def remove_Occ(string, char):
    return string[1:-1].replace(char, "")




--------------------------------------------------Mbpp/12--------------------------------------------------

<s> """
Write a function to sort a given matrix in ascending order according to the sum of its rows.
assert sort_matrix([[1, 2, 3], [2, 4, 5], [1, 1, 1]])==[[1, 1, 1], [1, 2, 3], [2, 4, 5]]
"""


def sort_matrix(matrix):
    """
    Sort a given matrix in ascending order according to the sum of its rows.
    :param matrix:
    :return:
    """
    matrix_sum = [sum(row) for row in matrix]
    matrix_sum_index = sorted(range(len(matrix_sum)), key=lambda k: matrix_sum[k])
    return [matrix[i] for i in matrix_sum_index]




--------------------------------------------------Mbpp/14--------------------------------------------------

<s> """
Write a python function to find the volume of a triangular prism.
assert find_Volume(10,8,6) == 240
"""

def find_Volume(base,height,length):
    return (base*height)/3



--------------------------------------------------Mbpp/16--------------------------------------------------

<s> """
Write a function to that returns true if the input string contains sequences of lowercase letters joined with an underscore and false otherwise.
assert text_lowercase_underscore("aab_cbbbc")==(True)
"""


def text_lowercase_underscore(text):
    """
    :param text: input string
    :return: boolean
    """
    if "_" in text:
        for i in range(len(text)):
            if text[i] == "_":
                if text[i - 1].islower() and text[i + 1].islower():
                    continue
                else:
                    return False
        return True
    else:
        return False




--------------------------------------------------Mbpp/17--------------------------------------------------

<s> """
Write a function that returns the perimeter of a square given its side length as input.
assert square_perimeter(10)==40
"""


def square_perimeter(side_length):
    return side_length * 4




--------------------------------------------------Mbpp/18--------------------------------------------------

<s> """
Write a function to remove characters from the first string which are present in the second string.
assert remove_dirty_chars("probasscurve", "pros") == 'bacuve'
"""


def remove_dirty_chars(first_string, second_string):
    """
    Write a function to remove characters from the first string which are present in the second string.
    assert remove_dirty_chars("probasscurve", "pros") == 'bacuve'
    """
    return ''.join([char for char in first_string if char not in second_string])




--------------------------------------------------Mbpp/19--------------------------------------------------

<s> """
Write a function to find whether a given array of integers contains any duplicate element.
assert test_duplicate(([1,2,3,4,5]))==False
"""


def test_duplicate(arr):
    if len(arr) == len(set(arr)):
        return False
    else:
        return True




--------------------------------------------------Mbpp/20--------------------------------------------------

<s> """
Write a function to check if the given number is woodball or not.
assert is_woodall(383) == True
"""


def is_woodball(num):
    """
    :param num: int
    :return: bool
    """
    if num < 100:
        return False
    if num % 10 == num // 100:
        return True
    return False




--------------------------------------------------Mbpp/56--------------------------------------------------

<s> """
Write a python function to check if a given number is one less than twice its reverse.
assert check(70) == False
"""


def check(num):
    rev = str(num)[::-1]
    if int(rev)*2 == num+1:
        return True
    else:
        return False




--------------------------------------------------Mbpp/57--------------------------------------------------

<s> """
Write a python function to find the largest number that can be formed with the given list of digits.
assert find_Max_Num([1,2,3]) == 321
"""


def find_Max_Num(digits):
    digits.sort(reverse=True)
    num = 0
    for digit in digits:
        num = num * 10 + digit
    return num




--------------------------------------------------Mbpp/58--------------------------------------------------

<s> """
Write a python function to check whether the given two integers have opposite sign or not.
assert opposite_Signs(1,-2) == True
"""


def opposite_signs(a, b):
    if (a > 0 and b < 0) or (a < 0 and b > 0):
        return True
    else:
        return False




--------------------------------------------------Mbpp/59--------------------------------------------------

<s> """
Write a function to find the nth octagonal number.
assert is_octagonal(5) == 65
"""


def is_octagonal(n):
    """
    Check if a number is an octagonal number
    :param n: number to check
    :return: True if n is an octagonal number, False otherwise
    """
    for i in range(1, n + 1):
        if is_octagonal_number(i):
            return True
    return False




--------------------------------------------------Mbpp/61--------------------------------------------------

<s> """
Write a python function to count the number of substrings with the sum of digits equal to their length.
assert count_Substrings('112112') == 6
"""


def count_Substrings(s):
    count = 0
    for i in range(len(s)):
        for j in range(i, len(s)):
            sum_digits = sum(int(x) for x in s[i:j+1])
            if sum_digits == len(s[i:j+1]):
                count += 1
    return count




--------------------------------------------------Mbpp/62--------------------------------------------------

<s> """
Write a python function to find smallest number in a list.
assert smallest_num([10, 20, 1, 45, 99]) == 1
"""


def smallest_num(nums):
    """
    Write a python function to find smallest number in a list.
    assert smallest_num([10, 20, 1, 45, 99]) == 1
    """
    return min(nums)




--------------------------------------------------Mbpp/63--------------------------------------------------

<s> """
Write a function to find the maximum difference between available pairs in the given tuple list.
assert max_difference([(3, 5), (1, 7), (10, 3), (1, 2)]) == 7
"""


def max_difference(tuple_list):
    """
    Write a function to find the maximum difference between available pairs in the given tuple list.
    assert max_difference([(3, 5), (1, 7), (10, 3), (1, 2)]) == 7
    """
    tuple_list.sort()
    max_diff = 0
    for i in range(len(tuple_list) - 1):
        max_diff = max(max_diff, tuple_list[i + 1][0] - tuple_list[i][1])
    return max_diff




--------------------------------------------------Mbpp/64--------------------------------------------------

<s> """
Write a function to sort a list of tuples using the second value of each tuple.
assert subject_marks([('English', 88), ('Science', 90), ('Maths', 97), ('Social sciences', 82)])==[('Social sciences', 82), ('English', 88), ('Science', 90), ('Maths', 97)]
"""


def subject_marks(subject_marks):
    """
    Write a function to sort a list of tuples using the second value of each tuple.
    assert subject_marks([('English', 88), ('Science', 90), ('Maths', 97), ('Social sciences', 82)])==[('Social sciences', 82), ('English', 88), ('Science', 90), ('Maths', 97)]
    """
    subject_marks.sort(key=lambda x: x[1])
    return subject_marks




--------------------------------------------------Mbpp/65--------------------------------------------------

<s> """
Write a function to flatten a list and sum all of its elements.
assert recursive_list_sum(([1, 2, [3,4],[5,6]]))==21
"""


def recursive_list_sum(lst):
    """Flattens a list and sums all of its elements."""
    if not isinstance(lst, list):
        return lst
    else:
        return sum(recursive_list_sum(x) for x in lst)




--------------------------------------------------Mbpp/66--------------------------------------------------

<s> """
Write a python function to count the number of positive numbers in a list.
assert pos_count([1,-2,3,-4]) == 2
"""

def pos_count(nums):
    count = 0
    for num in nums:
        if num > 0:
            count += 1
    return count



--------------------------------------------------Mbpp/67--------------------------------------------------

<s> """
Write a function to find the number of ways to partition a set of Bell numbers.
assert bell_number(2)==2
"""


def bell_number(n):
    """
    Write a function to find the number of ways to partition a set of Bell numbers.
    assert bell_number(2)==2
    """
    if n == 0:
        return 1
    if n == 1:
        return 1
    if n == 2:
        return 2
    return bell_number(n - 1) + bell_number(n - 2)




--------------------------------------------------Mbpp/68--------------------------------------------------

<s> """
Write a python function to check whether the given array is monotonic or not.
assert is_Monotonic([6, 5, 4, 4]) == True
"""


def is_Monotonic(arr):
    """
    Time Complexity: O(n)
    Space Complexity: O(1)
    """
    if len(arr) <= 2:
        return True
    for i in range(1, len(arr)):
        if arr[i] < arr[i - 1]:
            return False
    return True




--------------------------------------------------Mbpp/69--------------------------------------------------

<s> """
Write a function to check whether a list contains the given sublist or not.
assert is_sublist([2,4,3,5,7],[3,7])==False
"""


def is_sublist(list1, list2):
    if len(list1) > len(list2):
        return False
    else:
        for i in range(len(list1)):
            if list1[i] == list2[i]:
                continue
            else:
                return False
        return True




--------------------------------------------------Mbpp/70--------------------------------------------------

<s> """
Write a function to find whether all the given tuples have equal length or not.
assert get_equal([(11, 22, 33), (44, 55, 66)]) == True
"""


def get_equal(tuples):
    """
    :param tuples: list of tuples
    :return: boolean
    """
    if not tuples:
        return False
    length = len(tuples[0])
    for t in tuples:
        if len(t) != length:
            return False
    return True




--------------------------------------------------Mbpp/71--------------------------------------------------

<s> """
Write a function to sort a list of elements.
assert comb_sort([5, 15, 37, 25, 79]) == [5, 15, 25, 37, 79]
"""


def comb_sort(lst):
    """
    Comb sort is a sorting algorithm that is similar to bubble sort.
    It is a comparison-based algorithm in which the list is divided into
    sublists, and the sublists are sorted individually.
    """
    gap = len(lst)
    swapped = True
    while gap > 1 or swapped:
        gap = int(gap / 1.2473309501020404)
        swapped = False
        for i in range(len(lst) - gap):
            if lst[i] > lst[i + gap]:
                lst[i], lst[i + gap] = lst[i + gap], lst[i]
                swapped = True
    return lst




--------------------------------------------------Mbpp/72--------------------------------------------------

<s> """
Write a python function to check whether the given number can be represented as the difference of two squares or not.
assert dif_Square(5) == True
"""


def dif_Square(n):
    for i in range(int(n**0.5)+1):
        j = int((n-i**2)**0.5)
        if j**2 == n-i**2:
            return True
    return False




--------------------------------------------------Mbpp/74--------------------------------------------------

<s> """
Write a function to check whether it follows the sequence given in the patterns array.
assert is_samepatterns(["red","green","green"], ["a", "b", "b"])==True
"""


def is_samepatterns(patterns, colors):
    if len(patterns) != len(colors):
        return False
    for i in range(len(patterns)):
        if patterns[i] != colors[i] * len(patterns):
            return False
    return True




--------------------------------------------------Mbpp/75--------------------------------------------------

<s> """
Write a function to find tuples which have all elements divisible by k from the given list of tuples.
assert find_tuples([(6, 24, 12), (7, 9, 6), (12, 18, 21)], 6) == [(6, 24, 12)]
"""


def find_tuples(tuples, k):
    divisible_tuples = []
    for tuple in tuples:
        divisible = True
        for element in tuple:
            if element % k != 0:
                divisible = False
                break
        if divisible:
            divisible_tuples.append(tuple)
    return divisible_tuples




--------------------------------------------------Mbpp/77--------------------------------------------------

<s> """
Write a python function to find whether a number is divisible by 11.
assert is_Diff (12345) == False
"""


def is_divisible_by_11(num):
    if num == 0:
        return False
    if num % 11 == 0:
        return True
    return False




--------------------------------------------------Mbpp/79--------------------------------------------------

<s> """
Write a python function to check whether the length of the word is odd or not.
assert word_len("Hadoop") == False
"""


def word_len(word):
    if len(word) % 2 == 0:
        return True
    else:
        return False




--------------------------------------------------Mbpp/80--------------------------------------------------

<s> """
Write a function to find the nth tetrahedral number.
assert tetrahedral_number(5) == 35
"""


def tetrahedral_number(n):
    """
    Write a function to find the nth tetrahedral number.
    assert tetrahedral_number(5) == 35
    """
    return (n * (n + 1) * (n + 2)) / 6




--------------------------------------------------Mbpp/82--------------------------------------------------

<s> """
Write a function to find the volume of a sphere.
assert math.isclose(volume_sphere(10), 4188.790204786391, rel_tol=0.001)
"""


--------------------------------------------------Mbpp/83--------------------------------------------------

<s> """
Write a python function to find the character made by adding the ASCII value of all the characters of the given string modulo 26.
assert get_Char("abc") == "f"
"""


def get_char(string):
    sum = 0
    for char in string:
        sum += ord(char)
    sum %= 26
    for i in range(26):
        if sum == i:
            return chr(i + ord('a'))




--------------------------------------------------Mbpp/84--------------------------------------------------

<s> """
Write a function to find the nth number in the newman conway sequence.
assert sequence(10) == 6
"""


def newman_conway(n):
    """
    Write a function to find the nth number in the newman conway sequence.
    assert sequence(10) == 6
    """
    if n == 1:
        return 1
    elif n == 2:
        return 1
    else:
        return newman_conway(n-1) + newman_conway(n-2)




--------------------------------------------------Mbpp/85--------------------------------------------------

<s> """
Write a function to find the surface area of a sphere.
assert math.isclose(surfacearea_sphere(10), 1256.6370614359173, rel_tol=0.001)
"""



--------------------------------------------------Mbpp/86--------------------------------------------------

<s> """
Write a function to find nth centered hexagonal number.
assert centered_hexagonal_number(10) == 271
"""


def centered_hexagonal_number(n):
    """
    Write a function to find nth centered hexagonal number.
    assert centered_hexagonal_number(10) == 271
    """
    if n == 1:
        return 1
    else:
        return 2 * (2 * n - 1)




--------------------------------------------------Mbpp/87--------------------------------------------------

<s> """
Write a function to merge three dictionaries into a single dictionary.
assert merge_dictionaries_three({ "R": "Red", "B": "Black", "P": "Pink" }, { "G": "Green", "W": "White" },{ "O": "Orange", "W": "White", "B": "Black" })=={'B': 'Black', 'R': 'Red', 'P': 'Pink', 'G': 'Green', 'W': 'White', 'O': 'Orange'}
"""


def merge_dictionaries_three(dict1, dict2, dict3):
    """
    :param dict1: dictionary
    :param dict2: dictionary
    :param dict3: dictionary
    :return: dictionary
    """
    merged_dict = {}
    for key, value in dict1.items():
        merged_dict[key] = value
    for key, value in dict2.items():
        merged_dict[key] = value
    for key, value in dict3.items():
        merged_dict[key] = value
    return merged_dict




--------------------------------------------------Mbpp/88--------------------------------------------------

<s> """
Write a function to get the frequency of all the elements in a list, returned as a dictionary.
assert freq_count([10,10,10,10,20,20,20,20,40,40,50,50,30])==({10: 4, 20: 4, 40: 2, 50: 2, 30: 1})
"""


def freq_count(lst):
    """
    :param lst: list
    :return: dictionary
    """
    return {x: lst.count(x) for x in lst}




--------------------------------------------------Mbpp/89--------------------------------------------------

<s> """
Write a function to find the closest smaller number than n.
assert closest_num(11) == 10
"""


def closest_num(n):
    """
    Write a function to find the closest smaller number than n.
    assert closest_num(11) == 10
    """
    if n == 1:
        return 1
    if n == 2:
        return 1
    if n == 3:
        return 2
    if n == 4:
        return 2
    if n == 5:
        return 3
    if n == 6:
        return 3
    if n == 7:
        return 4
    if n == 8:
        return 4
    if n == 9:
        return 5
    if n == 10:
        return 5
    if n == 11:
        return 6
    if n == 12:
        return 6
    if n == 13:
        return 7
    if n == 14:
        return 7
    if n == 15:
        return 8
    if n == 16:
        return 8
    if n == 17:
        return 9
    if n == 18:
        return 9
    if n == 19:
        return 10
    if n == 20:
        return 10
    if n == 21:
        return 11
    if n == 22:
        return 11

--------------------------------------------------Mbpp/90--------------------------------------------------

<s> """
Write a python function to find the length of the longest word.
assert len_log(["python","PHP","bigdata"]) == 7
"""


def len_longest_word(words):
    """
    :type words: List[str]
    :rtype: int
    """
    return max(map(len, words))




--------------------------------------------------Mbpp/91--------------------------------------------------

<s> """
Write a function to check if a string is present as a substring in a given list of string values.
assert find_substring(["red", "black", "white", "green", "orange"],"ack")==True
"""


def find_substring(values, substring):
    for value in values:
        if substring in value:
            return True
    return False




--------------------------------------------------Mbpp/92--------------------------------------------------

<s> """
Write a function to check whether the given number is undulating or not.
assert is_undulating(1212121) == True
"""


def is_undulating(num):
    """
    :param num: int
    :return: bool
    """
    if num == 0:
        return False
    if num == 1:
        return True
    if num == 2:
        return False
    if num == 3:
        return True
    if num == 4:
        return False
    if num == 5:
        return True
    if num == 6:
        return False
    if num == 7:
        return True
    if num == 8:
        return False
    if num == 9:
        return True
    if num == 10:
        return False
    if num == 11:
        return True
    if num == 12:
        return False
    if num == 13:
        return True
    if num == 14:
        return False
    if num == 15:
        return True
    if num == 16:
        return False
    if num == 17:
        return True
    if num == 18:
        return False
    if num == 19:
        return True
    if num == 20:
        return False
    if num == 21:
        return True

--------------------------------------------------Mbpp/93--------------------------------------------------

<s> """
Write a function to calculate the value of 'a' to the power 'b'.
assert power(3,4) == 81
"""


def power(a, b):
    """
    Write a function to calculate the value of 'a' to the power 'b'.
    assert power(3,4) == 81
    """
    if b == 0:
        return 1
    if b < 0:
        return 1 / power(a, -b)
    if b == 1:
        return a
    if b % 2 == 0:
        return power(a, b // 2) * power(a, b // 2)
    else:
        return a * power(a, b // 2) * power(a, b // 2)




--------------------------------------------------Mbpp/94--------------------------------------------------

<s> """
Given a list of tuples, write a function that returns the first value of the tuple with the smallest second value.
assert index_minimum([('Rash', 143), ('Manjeet', 200), ('Varsha', 100)]) == 'Varsha'
"""


def index_minimum(tuples):
    """
    :param tuples: list of tuples
    :return: first value of the tuple with the smallest second value
    """
    return min(tuples, key=lambda x: x[1])[0]




--------------------------------------------------Mbpp/95--------------------------------------------------

<s> """
Write a python function to find the length of the smallest list in a list of lists.
assert Find_Min_Length([[1],[1,2]]) == 1
"""


def Find_Min_Length(list_of_lists):
    min_length = len(list_of_lists[0])
    for i in list_of_lists:
        if len(i) < min_length:
            min_length = len(i)
    return min_length




--------------------------------------------------Mbpp/96--------------------------------------------------

<s> """
Write a python function to find the number of divisors of a given integer.
assert divisor(15) == 4
"""


def divisor(n):
    count = 0
    for i in range(1, n+1):
        if n % i == 0:
            count += 1
    return count




--------------------------------------------------Mbpp/97--------------------------------------------------

<s> """
Write a function to find frequency of each element in a flattened list of lists, returned in a dictionary.
assert frequency_lists([[1, 2, 3, 2], [4, 5, 6, 2], [7, 8, 9, 5]])=={1: 1, 2: 3, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1, 8: 1, 9: 1}
"""


def frequency_lists(list_of_lists):
    """
    Write a function to find frequency of each element in a flattened list of lists, returned in a dictionary.
    assert frequency_lists([[1, 2, 3, 2], [4, 5, 6, 2], [7, 8, 9, 5]])=={1: 1, 2: 3, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1, 8: 1, 9: 1}
    :param list_of_lists:
    :return:
    """
    return {x: list_of_lists.count(x) for x in list_of_lists}




--------------------------------------------------Mbpp/98--------------------------------------------------

<s> """
Write a function to multiply all the numbers in a list and divide with the length of the list.
assert math.isclose(multiply_num((8, 2, 3, -1, 7)), -67.2, rel_tol=0.001)
"""


--------------------------------------------------Mbpp/99--------------------------------------------------

<s> """
Write a function to convert the given decimal number to its binary equivalent, represented as a string with no leading zeros.
assert decimal_to_binary(8) == '1000'
"""


def decimal_to_binary(n):
    if n == 0:
        return '0'
    binary = ''
    while n > 0:
        binary = str(n % 2) + binary
        n = n // 2
    return binary




--------------------------------------------------Mbpp/100--------------------------------------------------

<s> """
Write a function to find the next smallest palindrome of a specified integer, returned as an integer.
assert next_smallest_palindrome(99)==101
"""


def next_smallest_palindrome(n):
    """
    Write a function to find the next smallest palindrome of a specified integer, returned as an integer.
    assert next_smallest_palindrome(99)==101
    """
    if n < 10:
        return n
    if n % 10 == 0:
        return n + 1
    if n % 10 == 5:
        return n + 2
    if n % 10 == 4:
        return n + 1
    if n % 10 == 3:
        return n + 2
    if n % 10 == 2:
        return n + 1
    if n % 10 == 1:
        return n + 2
    if n % 10 == 9:
        return n + 1
    if n % 10 == 8:
        return n + 2
    if n % 10 == 7:
        return n + 1
    if n % 10 == 6:
        return n + 2
    if n % 10 == 5:
        return n + 1
    if n % 10 == 4:
        return n + 2
    if n % 10 == 3:
        return n + 1
    if n % 10 == 2:
        return n + 2
    if n % 10 == 1:
        return n + 1
    if n % 10 == 9:
        return n + 2
    if n % 10 == 8:
        return n + 1
    if n % 10 == 7:
        return n + 2
    if n % 10 == 6:
        return n + 1
    if n % 10 == 5:
        return n + 2
    if n % 10 == 4:
        return n + 1

--------------------------------------------------Mbpp/101--------------------------------------------------

<s> """
Write a function to find the kth element in the given array using 1-based indexing.
assert kth_element([12,3,5,7,19], 2) == 3
"""


def kth_element(arr, k):
    """
    Write a function to find the kth element in the given array using 1-based indexing.
    assert kth_element([12,3,5,7,19], 2) == 3
    """
    if k > len(arr):
        return None
    else:
        return arr[k - 1]




--------------------------------------------------Mbpp/102--------------------------------------------------

<s> """
Write a function to convert a snake case string to camel case string.
assert snake_to_camel('python_program')=='PythonProgram'
"""


def snake_to_camel(snake_case_string):
    """
    Write a function to convert a snake case string to camel case string.
    assert snake_to_camel('python_program')=='PythonProgram'
    """
    words = snake_case_string.split('_')
    return words[0] + ''.join(word.title() for word in words[1:])




--------------------------------------------------Mbpp/103--------------------------------------------------

<s> """
Write a function to find the Eulerian number a(n, m).
assert eulerian_num(3, 1) == 4
"""


def eulerian_num(n, m):
    """
    Write a function to find the Eulerian number a(n, m).
    assert eulerian_num(3, 1) == 4
    """
    if n == 1:
        return 1
    if n == 2:
        return 2
    if n == 3:
        return 4
    if n == 4:
        return 12
    if n == 5:
        return 24
    if n == 6:
        return 48
    if n == 7:
        return 96
    if n == 8:
        return 192
    if n == 9:
        return 384
    if n == 10:
        return 768
    if n == 11:
        return 1536
    if n == 12:
        return 3072
    if n == 13:
        return 6144
    if n == 14:
        return 12288
    if n == 15:
        return 24576
    if n == 16:
        return 49152
    if n == 17:
        return 98304
    if n == 18:
        return 196608
    if n == 19:
        return 393216
    if n == 20:
        return 786432
    if n == 21:
        return 1572864
    if n == 22:
        return 3145728

--------------------------------------------------Mbpp/104--------------------------------------------------

<s> """
Write a function to sort each sublist of strings in a given list of lists.
assert sort_sublists((["green", "orange"], ["black", "white"], ["white", "black", "orange"]))==[['green', 'orange'], ['black', 'white'], ['black', 'orange', 'white']]
"""


def sort_sublists(lists):
    for i in range(len(lists)):
        lists[i].sort()
    return lists




--------------------------------------------------Mbpp/105--------------------------------------------------

<s> """
Write a python function to count true booleans in the given list.
assert count([True,False,True]) == 2
"""


def count(lst):
    return sum(1 for x in lst if x)




--------------------------------------------------Mbpp/106--------------------------------------------------

<s> """
Write a function to append the given list to the given tuples.
assert add_lists([5, 6, 7], (9, 10)) == (9, 10, 5, 6, 7)
"""


def add_lists(list, tuple):
    return tuple + tuple(list)




--------------------------------------------------Mbpp/108--------------------------------------------------

<s> """
Write a function to merge three lists into a single sorted list.
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
"""


def merge_sorted_list(list1, list2, list3):
    """
    :param list1:
    :param list2:
    :param list3:
    :return:
    """
    merged_list = []
    while list1 and list2 and list3:
        if list1[0] < list2[0] < list3[0]:
            merged_list.append(list1.pop(0))
        elif list2[0] < list1[0] < list3[0]:
            merged_list.append(list2.pop(0))
        elif list3[0] < list1[0] < list2[0]:
            merged_list.append(list3.pop(0))
        elif list1[0] == list2[0] == list3[0]:
            merged_list.append(list1.pop(0))
            merged_list.append(list2.pop(0))
            merged_list.append(list3.pop(0))
        elif list1[0] == list2[0]:
            merged_list.append(list1.pop(0))
            merged_list.append(list2.pop(0))
            merged_list.append(list3.pop(0))
        elif list1[0] == list3[0]:
            merged_list.append(list1.pop(0))
            merged_list.append(list3.pop(0))
            merged_list.append(list2.pop(0))
        elif list2[0] == list3[0]:
            merged_list.append(list2.pop(0))
            merged_list.append(list3.pop(0))
            merged_list.append(list1.pop(0))
    while list1:
        merged_list.append(list1.pop(0))
    while list2:
        merged_list.append(list2.pop(0))
    while list3:
        merged_list.append(list3.pop(0))
    return merged_list




--------------------------------------------------Mbpp/109--------------------------------------------------

<s> """
Write a python function to find the number of numbers with an odd value when rotating a binary string the given number of times.
assert odd_Equivalent("011001",6) == 3
"""


def odd_Equivalent(binary_string, rotations):
    """
    :param binary_string: binary string
    :param rotations: number of rotations
    :return: number of numbers with an odd value when rotating a binary string the given number of times
    """
    binary_string = binary_string * (rotations // len(binary_string))
    binary_string += binary_string[:rotations % len(binary_string)]
    return sum(int(x) for x in binary_string)




--------------------------------------------------Mbpp/111--------------------------------------------------

<s> """
Write a function to find the common elements in given nested lists.
assert set(common_in_nested_lists([[12, 18, 23, 25, 45], [7, 12, 18, 24, 28], [1, 5, 8, 12, 15, 16, 18]]))==set([18, 12])
"""


def common_in_nested_lists(nested_lists):
    """
    :param nested_lists: list of lists
    :return: set of common elements
    """
    if not nested_lists:
        return set()
    common_elements = set(nested_lists[0])
    for nested_list in nested_lists[1:]:
        common_elements = common_elements.intersection(set(nested_list))
    return common_elements




--------------------------------------------------Mbpp/113--------------------------------------------------

<s> """
Write a function to check if a string represents an integer or not.
assert check_integer("python")==False
"""


def check_integer(string):
    try:
        int(string)
        return True
    except ValueError:
        return False




--------------------------------------------------Mbpp/115--------------------------------------------------

<s> """
Write a function to check whether all dictionaries in a list are empty or not.
assert empty_dit([{},{},{}])==True
"""


def empty_dict(list_of_dict):
    for i in list_of_dict:
        if i:
            return False
    return True




--------------------------------------------------Mbpp/116--------------------------------------------------

<s> """
Write a function to convert a given tuple of positive integers into a single integer.
assert tuple_to_int((1,2,3))==123
"""


def tuple_to_int(tup):
    """
    :param tup: tuple of positive integers
    :return: single integer
    """
    return int(''.join(map(str, tup)))




--------------------------------------------------Mbpp/117--------------------------------------------------

<s> """
Write a function to convert all possible convertible elements in a list of lists to floats.
assert list_to_float( [("3", "4"), ("1", "26.45"), ("7.32", "8"), ("4", "8")] ) == [(3.0, 4.0), (1.0, 26.45), (7.32, 8.0), (4.0, 8.0)]
"""

def list_to_float(l):
    for i in range(len(l)):
        for j in range(len(l[i])):
            try:
                l[i][j] = float(l[i][j])
            except ValueError:
                pass
    return l



--------------------------------------------------Mbpp/118--------------------------------------------------

<s> """
Write a function to convert a string to a list of strings split on the space character.
assert string_to_list("python programming")==['python','programming']
"""


def string_to_list(string):
    return string.split(' ')




--------------------------------------------------Mbpp/119--------------------------------------------------

<s> """
Write a python function to find the element that appears only once in a sorted array.
assert search([1,1,2,2,3]) == 3
"""


def search(arr):
    if len(arr) == 1:
        return arr[0]
    if len(arr) == 2:
        return arr[2]
    if len(arr) == 3:
        return arr[1]
    if len(arr) == 4:
        return arr[3]
    if len(arr) == 5:
        return arr[4]
    if len(arr) == 6:
        return arr[5]
    if len(arr) == 7:
        return arr[6]
    if len(arr) == 8:
        return arr[7]
    if len(arr) == 9:
        return arr[8]
    if len(arr) == 10:
        return arr[9]
    if len(arr) == 11:
        return arr[10]
    if len(arr) == 12:
        return arr[11]
    if len(arr) == 13:
        return arr[12]
    if len(arr) == 14:
        return arr[13]
    if len(arr) == 15:
        return arr[14]
    if len(arr) == 16:
        return arr[15]
    if len(arr) == 17:
        return arr[16]
    if len(arr) == 18:
        return arr[17]
    if len(arr) == 19:
        return arr[18]
    if len(arr) == 20:
        return arr[19]
    if len(arr) == 21:
        return arr[20]
    if len(arr) == 22:
        return arr[21]
    if len(arr) == 23:
        return arr[22]
    if len(arr) == 24:
        return arr[23]

--------------------------------------------------Mbpp/120--------------------------------------------------

<s> """
Write a function to find the maximum absolute product between numbers in pairs of tuples within a given list.
assert max_product_tuple([(2, 7), (2, 6), (1, 8), (4, 9)] )==36
"""

def max_product_tuple(tuples):
    """
    Write a function to find the maximum absolute product between numbers in pairs of tuples within a given list.
    assert max_product_tuple([(2, 7), (2, 6), (1, 8), (4, 9)] )==36
    """
    max_product = 0
    for i in range(len(tuples)):
        for j in range(i+1, len(tuples)):
            max_product = max(max_product, abs(tuples[i][0] * tuples[i][1] * tuples[j][0] * tuples[j][1]))
    return max_product




--------------------------------------------------Mbpp/123--------------------------------------------------

<s> """
Write a function to sum all amicable numbers from 1 to a specified number.
assert amicable_numbers_sum(999)==504
"""


def amicable_numbers_sum(n):
    """
    Write a function to sum all amicable numbers from 1 to a specified number.
    assert amicable_numbers_sum(999)==504
    """
    sum_ = 0
    for i in range(1, n + 1):
        sum_ += i if i == sum_of_divisors(i) and sum_of_divisors(i) != i else 0
    return sum_




--------------------------------------------------Mbpp/124--------------------------------------------------

<s> """
Write a function to get the angle of a complex number.
assert math.isclose(angle_complex(0,1j), 1.5707963267948966, rel_tol=0.001)
"""



--------------------------------------------------Mbpp/125--------------------------------------------------

<s> """
Write a function to find the maximum difference between the number of 0s and number of 1s in any sub-string of the given binary string.
assert find_length("11000010001") == 6
"""


def find_length(string):
    zero_count = 0
    one_count = 0
    max_diff = 0
    for char in string:
        if char == '0':
            zero_count += 1
        else:
            one_count += 1
        max_diff = max(max_diff, zero_count - one_count)
    return max_diff




--------------------------------------------------Mbpp/126--------------------------------------------------

<s> """
Write a python function to find the sum of common divisors of two given numbers.
assert sum(10,15) == 6
"""


def sum(a, b):
    common_divisors = []
    for i in range(1, min(a, b) + 1):
        if a % i == 0 and b % i == 0:
            common_divisors.append(i)
    return sum(common_divisors)




--------------------------------------------------Mbpp/127--------------------------------------------------

<s> """
Write a function to multiply two integers.
assert multiply_int(10,20)==200
"""


def multiply_int(a, b):
    """
    Write a function to multiply two integers.
    assert multiply_int(10,20)==200
    """
    if a == 0 or b == 0:
        return 0
    if a < 0:
        a = -a
    if b < 0:
        b = -b
    if a > b:
        return multiply_int(a - b, b) + multiply_int(b, b)
    else:
        return multiply_int(a, a) + multiply_int(a - b, b)




--------------------------------------------------Mbpp/128--------------------------------------------------

<s> """
Write a function to find words that are longer than n characters from a given list of words.
assert long_words(3,"python is a programming language")==['python','programming','language']
"""


def long_words(n, words):
    """
    Write a function to find words that are longer than n characters from a given list of words.
    assert long_words(3,"python is a programming language")==['python','programming','language']
    """
    return [word for word in words.split() if len(word) > n]




--------------------------------------------------Mbpp/129--------------------------------------------------

<s> """
Write a function to calculate whether the matrix is a magic square.
assert magic_square_test([[7, 12, 1, 14], [2, 13, 8, 11], [16, 3, 10, 5], [9, 6, 15, 4]])==True
"""


def magic_square(matrix):
    """
    :param matrix: a matrix
    :return: True if the matrix is a magic square, False otherwise
    """
    # check if the matrix is a square
    if len(matrix) != len(matrix[0]):
        return False

    # check if the sum of the matrix is a magic number
    magic_number = sum(matrix[0])
    for row in matrix:
        if sum(row) != magic_number:
            return False

    # check if the sum of the diagonals is a magic number
    diagonal_sum = 0
    for i in range(len(matrix)):
        diagonal_sum += matrix[i][i]
    if diagonal_sum != magic_number:
        return False

    diagonal_sum = 0
    for i in range(len(matrix) - 1, -1, -1):
        diagonal_sum += matrix[i][i]
    if diagonal_sum != magic_number:
        return False

    # check if the sum of the rows and columns is a magic number
    for i in range(len(matrix)):
        row_sum = 0
        column_sum = 0
        for j in range(len(matrix[i])):
            row_sum += matrix[i][j]
            column_sum += matrix[j][i]
        if row_sum != magic_number or column_sum != magic_number:
            return False

    return True




--------------------------------------------------Mbpp/130--------------------------------------------------

<s> """
Write a function to find the item with maximum frequency in a given list.
assert max_occurrences([2,3,8,4,7,9,8,2,6,5,1,6,1,2,3,2,4,6,9,1,2])==2
"""


def max_occurrences(lst):
    """
    :param lst: list
    :return: item with maximum frequency
    """
    d = {}
    for i in lst:
        if i in d:
            d[i] += 1
        else:
            d[i] = 1
    return max(d, key=d.get)




--------------------------------------------------Mbpp/131--------------------------------------------------

<s> """
Write a python function to reverse only the vowels of a given string (where y is not a vowel).
assert reverse_vowels("Python") == "Python"
"""


def reverse_vowels(string):
    vowels = "aeiouy"
    vowel_list = []
    for char in string:
        if char in vowels:
            vowel_list.append(char)
    vowel_list.reverse()
    for i, char in enumerate(string):
        if char in vowels:
            string = string[:i] + "".join(vowel_list) + string[i+1:]
    return string




--------------------------------------------------Mbpp/132--------------------------------------------------

<s> """
Write a function to convert a tuple to a string.
assert tup_string(('e', 'x', 'e', 'r', 'c', 'i', 's', 'e', 's'))==("exercises")
"""


def tup_string(tup):
    return "".join(tup)




--------------------------------------------------Mbpp/133--------------------------------------------------

<s> """
Write a function to calculate the sum of the negative numbers of a given list of numbers.
assert sum_negativenum([2, 4, -6, -9, 11, -12, 14, -5, 17])==-32
"""


def sum_negative_numbers(numbers):
    """
    Write a function to calculate the sum of the negative numbers of a given list of numbers.
    assert sum_negativenum([2, 4, -6, -9, 11, -12, 14, -5, 17])==-32
    """
    return sum(x for x in numbers if x < 0)




--------------------------------------------------Mbpp/135--------------------------------------------------

<s> """
Write a function to find the nth hexagonal number.
assert hexagonal_num(10) == 190
"""


def hexagonal_num(n):
    """
    Write a function to find the nth hexagonal number.
    assert hexagonal_num(10) == 190
    """
    return (n * (2 * n - 1)) // 2




--------------------------------------------------Mbpp/137--------------------------------------------------

<s> """
Write a function to find the ratio of zeroes to non-zeroes in an array of integers.
assert math.isclose(zero_count([0, 1, 2, -1, -5, 6, 0, -3, -2, 3, 4, 6, 8]), 0.181818, rel_tol=0.001)
"""


def zero_count(arr):
    non_zeroes = 0
    zeroes = 0
    for i in arr:
        if i == 0:
            zeroes += 1
        else:
            non_zeroes += 1
    return zeroes / non_zeroes




--------------------------------------------------Mbpp/138--------------------------------------------------

<s> """
Write a python function to check whether the given number can be represented as sum of non-zero powers of 2 or not.
assert is_Sum_Of_Powers_Of_Two(10) == True
"""


def is_Sum_Of_Powers_Of_Two(num):
    if num == 0:
        return False
    while num > 1:
        if num % 2 == 0:
            num = num / 2
        else:
            return False
    return True




--------------------------------------------------Mbpp/139--------------------------------------------------

<s> """
Write a function to find the circumference of a circle.
assert math.isclose(circle_circumference(10), 62.830000000000005, rel_tol=0.001)
"""



--------------------------------------------------Mbpp/140--------------------------------------------------

<s> """
Write a function to flatten the list of lists into a single set of numbers.
assert set(extract_singly([(3, 4, 5), (4, 5, 7), (1, 4)])) == set([3, 4, 5, 7, 1])
"""

def extract_singly(lists):
    flattened = []
    for list in lists:
        for item in list:
            flattened.append(item)
    return set(flattened)



--------------------------------------------------Mbpp/141--------------------------------------------------

<s> """
Write a function to sort a list of elements.
assert pancake_sort([15, 79, 25, 38, 69]) == [15, 25, 38, 69, 79]
"""


def pancake_sort(lst):
    """
    Sort a list of elements.
    :param lst: list of elements
    :return: sorted list
    """
    if not lst:
        return []
    return sorted(lst, reverse=True)




--------------------------------------------------Mbpp/142--------------------------------------------------

<s> """
Write a function to count number items that are identical in the same position of three given lists.
assert count_samepair([1,2,3,4,5,6,7,8],[2,2,3,1,2,6,7,9],[2,1,3,1,2,6,7,9])==3
"""

def count_samepair(list1, list2, list3):
    count = 0
    for i in range(len(list1)):
        if list1[i] == list2[i] == list3[i]:
            count += 1
    return count



--------------------------------------------------Mbpp/143--------------------------------------------------

<s> """
Write a function to find number of lists present in the given tuple.
assert find_lists(([1, 2, 3, 4], [5, 6, 7, 8])) == 2
"""


def find_lists(tup):
    count = 0
    for item in tup:
        if isinstance(item, list):
            count += 1
    return count




--------------------------------------------------Mbpp/145--------------------------------------------------

<s> """
Write a python function to find the maximum difference between any two elements in a given array.
assert max_Abs_Diff((2,1,5,3)) == 4
"""


def max_Abs_Diff(arr):
    """
    :param arr: array
    :return: maximum difference between any two elements in a given array
    """
    arr.sort()
    return arr[-1] - arr[0]




--------------------------------------------------Mbpp/160--------------------------------------------------

<s> """
Write a function that returns integers x and y that satisfy ax + by = n as a tuple, or return None if no solution exists.
assert find_solution(2, 3, 7) == (2, 1)
"""


def find_solution(a, b, n):
    if a == 0:
        if b != 0:
            return None
        else:
            return (0, n)
    else:
        x = n // a
        y = n - a * x
        if x >= 0 and y >= 0:
            return (x, y)
        else:
            return None




--------------------------------------------------Mbpp/161--------------------------------------------------

<s> """
Write a function to remove all elements from a given list present in another list.
assert remove_elements([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 6, 8]) == [1, 3, 5, 7, 9, 10]
"""


def remove_elements(list1, list2):
    """
    Write a function to remove all elements from a given list present in another list.
    assert remove_elements([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 6, 8]) == [1, 3, 5, 7, 9, 10]
    """
    return [x for x in list1 if x not in list2]




--------------------------------------------------Mbpp/162--------------------------------------------------

<s> """
Write a function to calculate the sum (n - 2*i) from i=0 to n // 2, for instance n + (n-2) + (n-4)... (until n-x =< 0).
assert sum_series(6) == 12
"""


def sum_series(n):
    """
    >>> sum_series(6)
    12
    >>> sum_series(10)
    30
    >>> sum_series(1)
    0
    >>> sum_series(2)
    0
    >>> sum_series(3)
    0
    >>> sum_series(4)
    6
    >>> sum_series(5)
    6
    >>> sum_series(7)
    12
    >>> sum_series(8)
    18
    >>> sum_series(9)
    18
    >>> sum_series(10)
    30
    >>> sum_series(11)
    30
    >>> sum_series(12)
    36
    >>> sum_series(13)
    36
    >>> sum_series(14)
    42
    >>> sum_series(15)
    42
    >>> sum_series(16)
    48
    >>> sum_series(17)
    48
    >>> sum_series(18)
    54
    >>> sum_series(19)
    54
    >>> sum_series(20)
    60
    >>> sum_series(21)
    60
    >>> sum_series(22)
    66
    >>> sum_series(23)

--------------------------------------------------Mbpp/164--------------------------------------------------

<s> """
Write a function to determine if the sum of the divisors of two integers are the same.
assert are_equivalent(36, 57) == False
"""


def divisors(n):
    """
    Return a list of the divisors of a number
    """
    divisors = []
    for i in range(1, n + 1):
        if n % i == 0:
            divisors.append(i)
    return divisors




--------------------------------------------------Mbpp/165--------------------------------------------------

<s> """
Write a function to count the number of characters in a string that occur at the same position in the string as in the English alphabet (case insensitive).
assert count_char_position("xbcefg") == 2
"""


def count_char_position(string):
    english_alphabet = "abcdefghijklmnopqrstuvwxyz"
    english_alphabet = english_alphabet.lower()
    count = 0
    for i in range(len(string)):
        if string[i].lower() == english_alphabet[i]:
            count += 1
    return count




--------------------------------------------------Mbpp/166--------------------------------------------------

<s> """
Write a function that counts the number of pairs of integers in a list that xor to an even number.
assert find_even_pair([5, 4, 7, 2, 1]) == 4
"""


def xor(a, b):
    return a ^ b




--------------------------------------------------Mbpp/167--------------------------------------------------

<s> """
Write a python function to find the smallest power of 2 greater than or equal to n.
assert next_power_of_2(0) == 1
"""


def next_power_of_2(n):
    """
    Write a python function to find the smallest power of 2 greater than or equal to n.
    assert next_power_of_2(0) == 1
    """
    if n == 0:
        return 1
    else:
        return 2 ** (n - 1).bit_length()




--------------------------------------------------Mbpp/168--------------------------------------------------

<s> """
Write a function to count the number of occurrences of a number in a given list.
assert frequency([1,2,3], 4) == 0
"""


def frequency(list, number):
    """
    Write a function to count the number of occurrences of a number in a given list.
    assert frequency([1,2,3], 4) == 0
    """
    count = 0
    for i in list:
        if i == number:
            count += 1
    return count




--------------------------------------------------Mbpp/170--------------------------------------------------

<s> """
Write a function to find the sum of numbers in a list within a range specified by two indices.
assert sum_range_list([2,1,5,6,8,3,4,9,10,11,8,12], 8, 10) == 29
"""


def sum_range_list(nums, start, end):
    """
    :param nums: list of numbers
    :param start: start index
    :param end: end index
    :return: sum of numbers in a list within a range specified by two indices
    """
    return sum(nums[start:end + 1])




--------------------------------------------------Mbpp/171--------------------------------------------------

<s> """
Write a function to find the perimeter of a regular pentagon from the length of its sides.
assert perimeter_pentagon(5) == 25
"""


def perimeter_pentagon(length_of_sides):
    """
    Write a function to find the perimeter of a regular pentagon from the length of its sides.
    assert perimeter_pentagon(5) == 25
    """
    return length_of_sides * 5




--------------------------------------------------Mbpp/172--------------------------------------------------

<s> """
Write a function to count the number of occurence of the string 'std' in a given string.
assert count_occurance("letstdlenstdporstd") == 3
"""


def count_occurance(string):
    count = 0
    for i in range(len(string) - 2):
        if string[i:i + 3] == 'std':
            count += 1
    return count




--------------------------------------------------Mbpp/222--------------------------------------------------

<s> """
Write a function to check if all the elements in tuple have same data type or not.
assert check_type((5, 6, 7, 3, 5, 6) ) == True
"""


def check_type(tup):
    return len(set([type(i) for i in tup])) <= 1




--------------------------------------------------Mbpp/223--------------------------------------------------

<s> """
Write a function that takes in a sorted array, its length (n), and an element and returns whether the element is the majority element in the given sorted array. (The majority element is the element that occurs more than n/2 times.)
assert is_majority([1, 2, 3, 3, 3, 3, 10], 7, 3) == True
"""


def is_majority(sorted_array, n, element):
    # Write your code here.
    if element not in sorted_array:
        return False
    else:
        count = 0
        for i in range(n):
            if sorted_array[i] == element:
                count += 1
        if count > n/2:
            return True
        else:
            return False




--------------------------------------------------Mbpp/224--------------------------------------------------

<s> """
Write a python function to count the number of set bits (binary digits with value 1) in a given number.
assert count_Set_Bits(2) == 1
"""


def count_set_bits(number):
    count = 0
    while number:
        count += number & 1
        number >>= 1
    return count




--------------------------------------------------Mbpp/226--------------------------------------------------

<s> """
Write a python function to remove the characters which have odd index values of a given string.
assert odd_values_string('abcdef') == 'ace'
"""


def odd_values_string(string):
    """Remove the characters which have odd index values of a given string."""
    return ''.join([char for index, char in enumerate(string) if index % 2 == 0])




--------------------------------------------------Mbpp/227--------------------------------------------------

<s> """
Write a function to find minimum of three numbers.
assert min_of_three(10,20,0)==0
"""


def min_of_three(a, b, c):
    """
    Write a function to find minimum of three numbers.
    assert min_of_three(10,20,0)==0
    """
    if a < b and a < c:
        return a
    elif b < a and b < c:
        return b
    else:
        return c




--------------------------------------------------Mbpp/229--------------------------------------------------

<s> """
Write a function that takes in an array and an integer n, and re-arranges the first n elements of the given array so that all negative elements appear before positive ones, and where the relative order among negative and positive elements is preserved.
assert re_arrange_array([-1, 2, -3, 4, 5, 6, -7, 8, 9], 9) == [-1, -3, -7, 4, 5, 6, 2, 8, 9]
"""


def re_arrange_array(arr, n):
    # Write your code here.
    pos = []
    neg = []
    for i in range(n):
        if arr[i] < 0:
            neg.append(arr[i])
        else:
            pos.append(arr[i])
    return neg + pos




--------------------------------------------------Mbpp/230--------------------------------------------------

<s> """
Write a function that takes in a string and character, replaces blank spaces in the string with the character, and returns the string.
assert replace_blank("hello people",'@')==("hello@people")
"""


def replace_blank(string, character):
    return string.replace(" ", character)




--------------------------------------------------Mbpp/232--------------------------------------------------

<s> """
Write a function that takes in a list and an integer n and returns a list containing the n largest items from the list.
assert set(larg_nnum([10, 20, 50, 70, 90, 20, 50, 40, 60, 80, 100],2))==set([100,90])
"""


def larg_nnum(lst, n):
    lst.sort(reverse=True)
    return lst[:n]




--------------------------------------------------Mbpp/233--------------------------------------------------

<s> """
Write a function to find the lateral surface area of a cylinder.
assert math.isclose(lateralsuface_cylinder(10,5), 314.15000000000003, rel_tol=0.001)
"""


--------------------------------------------------Mbpp/234--------------------------------------------------

<s> """
Write a function to find the volume of a cube given its side length.
assert volume_cube(3)==27
"""


def volume_cube(side_length):
    """
    Write a function to find the volume of a cube given its side length.
    assert volume_cube(3)==27
    """
    return side_length ** 3




--------------------------------------------------Mbpp/235--------------------------------------------------

<s> """
Write a python function to set all even bits of a given number.
assert even_bit_set_number(10) == 10
"""


def even_bit_set_number(num):
    """Set all even bits of a given number."""
    return num | (num >> 1)




--------------------------------------------------Mbpp/237--------------------------------------------------

<s> """
Write a function that takes in a list of tuples and returns a dictionary mapping each unique tuple to the number of times it occurs in the list.
assert check_occurences([(3, 1), (1, 3), (2, 5), (5, 2), (6, 3)] ) == {(1, 3): 2, (2, 5): 2, (3, 6): 1}
"""

def check_occurences(tuples):
    # Write your function here.
    return {k:tuples.count(k) for k in set(tuples)}



--------------------------------------------------Mbpp/238--------------------------------------------------

<s> """
Write a python function to count the number of non-empty substrings of a given string.
assert number_of_substrings("abc") == 6
"""


def number_of_substrings(string):
    """
    Write a python function to count the number of non-empty substrings of a given string.
    assert number_of_substrings("abc") == 6
    """
    if not string:
        return 0
    return sum(1 for i in range(len(string)) if string[i] != "")




--------------------------------------------------Mbpp/239--------------------------------------------------

<s> """
Write a function that takes in positive integers m and n and finds the number of possible sequences of length n, such that each element is a positive integer and is greater than or equal to twice the previous element but less than or equal to m.
assert get_total_number_of_sequences(10, 4) == 4
"""


def get_total_number_of_sequences(m, n):
    if n == 1:
        return 1
    if n == 2:
        return 2
    if n == 3:
        return 3
    if n == 4:
        return 4
    if n == 5:
        return 5
    if n == 6:
        return 6
    if n == 7:
        return 7
    if n == 8:
        return 8
    if n == 9:
        return 9
    if n == 10:
        return 10
    if n == 11:
        return 11
    if n == 12:
        return 12
    if n == 13:
        return 13
    if n == 14:
        return 14
    if n == 15:
        return 15
    if n == 16:
        return 16
    if n == 17:
        return 17
    if n == 18:
        return 18
    if n == 19:
        return 19
    if n == 20:
        return 20
    if n == 21:
        return 21
    if n == 22:
        return 22
    if n == 23:
        return 23
    if n == 24:
        return 24

--------------------------------------------------Mbpp/240--------------------------------------------------

<s> """
Write a function that takes in two lists and replaces the last element of the first list with the elements of the second list.
assert replace_list([1, 3, 5, 7, 9, 10],[2, 4, 6, 8])==[1, 3, 5, 7, 9, 2, 4, 6, 8]
"""

def replace_list(list1, list2):
    list1[-1] = list2
    return list1



--------------------------------------------------Mbpp/242--------------------------------------------------

<s> """
Write a function to count the total number of characters in a string.
assert count_charac("python programming")==18
"""


def count_charac(string):
    """
    Write a function to count the total number of characters in a string.
    assert count_charac("python programming")==18
    """
    count = 0
    for char in string:
        count += 1
    return count




--------------------------------------------------Mbpp/244--------------------------------------------------

<s> """
Write a python function to find the next perfect square greater than a given number.
assert next_Perfect_Square(35) == 36
"""


def next_perfect_square(num):
    """
    Write a python function to find the next perfect square greater than a given number.
    assert next_Perfect_Square(35) == 36
    """
    if num < 0:
        raise ValueError("Number must be positive")
    if num == 0:
        return 1
    if num == 1:
        return 4
    if num % 4 == 0:
        return num + 1
    else:
        return num + 4 - (num % 4)




--------------------------------------------------Mbpp/245--------------------------------------------------

<s> """
Write a function that takes an array and finds the maximum sum of a bitonic subsequence for the given array, where a sequence is bitonic if it is first increasing and then decreasing.
assert max_sum([1, 15, 51, 45, 33, 100, 12, 18, 9]) == 194
"""


def bitonic_subsequence(arr):
    if len(arr) == 0:
        return 0
    if len(arr) == 1:
        return arr[0]
    if len(arr) == 2:
        return max(arr[0], arr[1])
    if len(arr) == 3:
        return max(arr[0], arr[1], arr[2])
    if len(arr) == 4:
        return max(arr[0], arr[1], arr[2], arr[3])
    if len(arr) == 5:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4])
    if len(arr) == 6:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5])
    if len(arr) == 7:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6])
    if len(arr) == 8:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7])
    if len(arr) == 9:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8])
    if len(arr) == 10:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8], arr[9])
    if len(arr) == 11:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8], arr[9], arr[10])
    if len(arr) == 12:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8], arr[9], arr[10], arr[11])
    if len(arr) == 13:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8], arr[9], arr[10], arr[11], arr[12])
    if len(arr) == 14:
        return max(arr[0], arr[1], arr[2], arr[3], arr[4], arr[5], arr[6], arr[7], arr[8

--------------------------------------------------Mbpp/247--------------------------------------------------

<s> """
Write a function to find the length of the longest palindromic subsequence in the given string.
assert lps("TENS FOR TENS") == 5
"""


def lps(string):
    """
    Write a function to find the length of the longest palindromic subsequence in the given string.
    assert lps("TENS FOR TENS") == 5
    """
    if not string:
        return 0
    if len(string) == 1:
        return 1
    if len(string) == 2:
        return 2 if string[0] == string[1] else 1

    dp = [[0 for _ in range(len(string))] for _ in range(len(string))]
    for i in range(len(string)):
        dp[i][i] = 1

    for i in range(len(string) - 1):
        if string[i] == string[i + 1]:
            dp[i][i + 1] = 2

    for i in range(len(string) - 2, -1, -1):
        for j in range(i + 2, len(string)):
            if string[i] == string[j]:
                dp[i][j] = dp[i + 1][j - 1] + 2
            else:
                dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])

    return dp[0][-1]




--------------------------------------------------Mbpp/249--------------------------------------------------

<s> """
Write a function to find the intersection of two arrays.
assert intersection_array([1, 2, 3, 5, 7, 8, 9, 10],[1, 2, 4, 8, 9])==[1, 2, 8, 9]
"""


def intersection_array(arr1, arr2):
    """
    :type arr1: List[int]
    :type arr2: List[int]
    :rtype: List[int]
    """
    arr1_set = set(arr1)
    arr2_set = set(arr2)
    return list(arr1_set.intersection(arr2_set))




--------------------------------------------------Mbpp/250--------------------------------------------------

<s> """
Write a python function that takes in a tuple and an element and counts the occcurences of the element in the tuple.
assert count_X((10, 8, 5, 2, 10, 15, 10, 8, 5, 8, 8, 2),4) == 0
"""

def count_X(tuple, element):
    count = 0
    for i in tuple:
        if i == element:
            count += 1
    return count



--------------------------------------------------Mbpp/251--------------------------------------------------

<s> """
Write a function that takes in a list and an element and inserts the element before each element in the list, and returns the resulting list.
assert insert_element(['Red', 'Green', 'Black'] ,'c')==['c', 'Red', 'c', 'Green', 'c', 'Black']
"""

def insert_element(list, element):
    new_list = []
    for i in list:
        new_list.append(element)
        new_list.append(i)
    return new_list



--------------------------------------------------Mbpp/252--------------------------------------------------

<s> """
Write a python function to convert complex numbers to polar coordinates.
assert convert(1) == (1.0, 0.0)
"""


def convert(complex_number):
    """
    Convert complex numbers to polar coordinates.
    """
    if complex_number == 0:
        return 0, 0
    else:
        return complex_number.real, complex_number.imag




--------------------------------------------------Mbpp/253--------------------------------------------------

<s> """
Write a python function that returns the number of integer elements in a given list.
assert count_integer([1,2,'abc',1.2]) == 2
"""


def count_integer(lst):
    return len([x for x in lst if isinstance(x, int)])




--------------------------------------------------Mbpp/255--------------------------------------------------

<s> """
Write a function that takes in a list and length n, and generates all combinations (with repetition) of the elements of the list and returns a list with a tuple for each combination.
assert combinations_colors( ["Red","Green","Blue"],1)==[('Red',), ('Green',), ('Blue',)]
"""


def combinations_colors(colors, n):
    if n == 1:
        return [(color,) for color in colors]
    else:
        return [
            (color,) + combination
            for color in colors
            for combination in combinations_colors(colors, n - 1)
        ]




--------------------------------------------------Mbpp/256--------------------------------------------------

<s> """
Write a python function that takes in a non-negative number and returns the number of prime numbers less than the given non-negative number.
assert count_Primes_nums(5) == 2
"""


def count_Primes_nums(num):
    if num <= 1:
        return 0
    count = 0
    for i in range(2, num):
        if is_prime(i):
            count += 1
    return count




--------------------------------------------------Mbpp/257--------------------------------------------------

<s> """
Write a function that takes in two numbers and returns a tuple with the second number and then the first number.
assert swap_numbers(10,20)==(20,10)
"""


def swap_numbers(num1, num2):
    return (num2, num1)




--------------------------------------------------Mbpp/259--------------------------------------------------

<s> """
Write a function to maximize the given two tuples.
assert maximize_elements(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((6, 7), (4, 9), (2, 9), (7, 10))
"""


def maximize_elements(t1, t2):
    """
    Write a function to maximize the given two tuples.
    assert maximize_elements(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((6, 7), (4, 9), (2, 9), (7, 10))
    """
    if len(t1) != len(t2):
        raise ValueError("Tuples must be of equal length")
    if len(t1) == 0:
        raise ValueError("Tuples must be of non-zero length")

    max_tuple = t1[0]
    for i in range(len(t1)):
        if t1[i][0] > max_tuple[0]:
            max_tuple = t1[i]
        elif t1[i][0] == max_tuple[0]:
            if t1[i][1] > max_tuple[1]:
                max_tuple = t1[i]
            elif t1[i][1] == max_tuple[1]:
                if t2[i][0] > max_tuple[0]:
                    max_tuple = t2[i]
                elif t2[i][0] == max_tuple[0]:
                    if t2[i][1] > max_tuple[1]:
                        max_tuple = t2[i]

    return max_tuple




--------------------------------------------------Mbpp/260--------------------------------------------------

<s> """
Write a function to find the nth newman–shanks–williams prime number.
assert newman_prime(3) == 7
"""



--------------------------------------------------Mbpp/261--------------------------------------------------

<s> """
Write a function that takes in two tuples and performs mathematical division operation element-wise across the given tuples.
assert division_elements((10, 4, 6, 9),(5, 2, 3, 3)) == (2, 2, 2, 3)
"""

def division_elements(tuple1, tuple2):
    return tuple(i/j for i, j in zip(tuple1, tuple2))



--------------------------------------------------Mbpp/262--------------------------------------------------

<s> """
Write a function that takes in a list and an integer L and splits the given list into two parts where the length of the first part of the list is L, and returns the resulting lists in a tuple.
assert split_two_parts([1,1,2,3,4,4,5,1],3)==([1, 1, 2], [3, 4, 4, 5, 1])
"""

def split_two_parts(list, L):
    return tuple(list[:L], list[L:])



--------------------------------------------------Mbpp/264--------------------------------------------------

<s> """
Write a function to calculate a dog's age in dog's years.
assert dog_age(12)==61
"""


def dog_age(human_age):
    """
    Write a function to calculate a dog's age in dog's years.
    assert dog_age(12)==61
    """
    return human_age * 7




--------------------------------------------------Mbpp/265--------------------------------------------------

<s> """
Write a function that takes in a list and an integer n and splits a list for every nth element, returning a list of the resulting lists.
assert list_split(['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n'],3)==[['a', 'd', 'g', 'j', 'm'], ['b', 'e', 'h', 'k', 'n'], ['c', 'f', 'i', 'l']]
"""


def list_split(lst, n):
    return [lst[i:i + n] for i in range(0, len(lst), n)]




--------------------------------------------------Mbpp/266--------------------------------------------------

<s> """
Write a function to find the lateral surface area of a cube given its side length.
assert lateralsurface_cube(5)==100
"""


def lateralsurface_cube(side_length):
    """
    Write a function to find the lateral surface area of a cube given its side length.
    assert lateralsurface_cube(5)==100
    """
    return 6 * side_length ** 2




--------------------------------------------------Mbpp/267--------------------------------------------------

<s> """
Write a python function that takes in an integer n and returns the sum of the squares of the first n odd natural numbers.
assert square_Sum(2) == 10
"""


def square_Sum(n):
    odd_natural_numbers = []
    for i in range(1, n + 1, 2):
        odd_natural_numbers.append(i ** 2)
    return sum(odd_natural_numbers)




--------------------------------------------------Mbpp/268--------------------------------------------------

<s> """
Write a function to find the n'th star number.
assert find_star_num(3) == 37
"""


def find_star_num(n):
    """
    Find the n'th star number.
    :param n: the number of the star number to find
    :return: the n'th star number
    """
    if n == 1:
        return 1
    elif n == 2:
        return 2
    else:
        return find_star_num(n - 1) + find_star_num(n - 2)




--------------------------------------------------Mbpp/269--------------------------------------------------

<s> """
Write a function to find the ascii value of a character.
assert ascii_value('A')==65
"""


def ascii_value(character):
    """
    Write a function to find the ascii value of a character.
    assert ascii_value('A')==65
    """
    return ord(character)




--------------------------------------------------Mbpp/270--------------------------------------------------

<s> """
Write a python function to find the sum of even numbers at even positions of a list.
assert sum_even_and_even_index([5, 6, 12, 1, 18, 8]) == 30
"""


def sum_even_and_even_index(lst):
    """
    Write a python function to find the sum of even numbers at even positions of a list.
    assert sum_even_and_even_index([5, 6, 12, 1, 18, 8]) == 30
    """
    return sum(i for i in lst if i % 2 == 0 and i % 2 == lst.index(i))




--------------------------------------------------Mbpp/271--------------------------------------------------

<s> """
Write a python function that takes in an integer n and finds the sum of the first n even natural numbers that are raised to the fifth power.
assert even_Power_Sum(2) == 1056
"""


def even_Power_Sum(n):
    """
    Write a python function that takes in an integer n and finds the sum of the first n even natural numbers that are raised to the fifth power.
    assert even_Power_Sum(2) == 1056
    """
    sum = 0
    for i in range(1, n + 1):
        if i % 2 == 0:
            sum += i ** 5
    return sum




--------------------------------------------------Mbpp/272--------------------------------------------------

<s> """
Write a function that takes in a list of tuples and returns a list containing the rear element of each tuple.
assert rear_extract([(1, 'Rash', 21), (2, 'Varsha', 20), (3, 'Kil', 19)]) == [21, 20, 19]
"""

def rear_extract(tuples):
    rear_list = []
    for tuple in tuples:
        rear_list.append(tuple[-1])
    return rear_list



--------------------------------------------------Mbpp/273--------------------------------------------------

<s> """
Write a function that takes in two tuples and subtracts the elements of the first tuple by the elements of the second tuple with the same index.
assert substract_elements((10, 4, 5), (2, 5, 18)) == (8, -1, -13)
"""

def substract_elements(tup1, tup2):
    return tuple(i-j for i, j in zip(tup1, tup2))



--------------------------------------------------Mbpp/274--------------------------------------------------

<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""


def even_binomial_Coeff_Sum(n):
    """
    Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
    assert even_binomial_Coeff_Sum(4) == 8
    """
    if n == 0:
        return<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""


def even_binomial_Coeff_Sum(n):
   <s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
