

--------------------------------------------------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):
    """
    :param list1: list of integers
    :param list2: list of integers
    :return: list of integers
    """
    return list(set(list1).intersection(list2))




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

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


def is_not_prime(n):
    """
    Write a python function to identify non-prime numbers.
    assert is_not_prime(2) == False
    """
    if n == 1:
        return False
    for i in range(2, n):
        if n % 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 to return
    :return: 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(a, b):
    """
    :param a: int
    :param b: int
    :return: bool
    """
    return bin(a ^ b).count('1') == 1




--------------------------------------------------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):
    """
    :param string: string
    :return: set of words
    """
    return set(word for word in string.split() 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):
    """
    :param nums: list of numbers
    :return: list of squares of individual elements in a list
    """
    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):
    """
    :param string: string
    :return: minimum number of rotations required to get the same string
    """
    if len(string) == 1:
        return 0
    if len(string) == 2:
        return 1
    if len(string) == 3:
        return 2
    if len(string) == 4:
        return 3
    if len(string) == 5:
        return 4
    if len(string) == 6:
        return 5
    if len(string) == 7:
        return 6
    if len(string) == 8:
        return 7
    if len(string) == 9:
        return 8
    if len(string) == 10:
        return 9
    if len(string) == 11:
        return 10
    if len(string) == 12:
        return 11
    if len(string) == 13:
        return 12
    if len(string) == 14:
        return 13
    if len(string) == 15:
        return 14
    if len(string) == 16:
        return 15
    if len(string) == 17:
        return 16
    if len(string) == 18:
        return 17
    if len(string) == 19:
        return 18
    if len(string) == 20:
        return 19
    if len(string) == 21:
        return 20
    if len(string) == 22:
        return 21

--------------------------------------------------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] if string.count(char) == 2 else string




--------------------------------------------------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):
    """
    :param matrix: list of lists
    :return: list of lists
    """
    matrix = sorted(matrix, key=sum)
    return matrix




--------------------------------------------------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(a,b,c):
    """
    a,b,c: length of the sides of the triangular prism
    """
    return a*b*c




--------------------------------------------------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: string
    :return: boolean
    """
    if text.islower() and "_" in text:
        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):
    return side * 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(str1, str2):
    """
    :param str1: str
    :param str2: str
    :return: str
    """
    return ''.join([char for char in str1 if char not in str2])




--------------------------------------------------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(nums):
    """
    :type nums: List[int]
    :rtype: bool
    """
    if len(nums) == len(set(nums)):
        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_woodall(num):
    """
    :param num: int
    :return: bool
    """
    if num < 100:
        return False
    if num % 10 == 0:
        return False
    if num % 100 == 0:
        return False
    if num % 1000 == 0:
        return False
    if num % 10000 == 0:
        return False
    if num % 100000 == 0:
        return False
    if num % 1000000 == 0:
        return False
    if num % 10000000 == 0:
        return False
    if num % 100000000 == 0:
        return False
    if num % 1000000000 == 0:
        return False
    if num % 10000000000 == 0:
        return False
    if num % 100000000000 == 0:
        return False
    if num % 1000000000000 == 0:
        return False
    if num % 10000000000000 == 0:
        return False
    if num % 100000000000000 == 0:
        return False
    if num % 1000000000000000 == 0:
        return False
    if num % 10000000000000000 == 0:
        return False
    if num % 100000000000000000 == 0:
        return False
    if num % 1000000000000000000 == 0:
        return False
    if num % 10000000000000000000 == 0:
        return False
    if num % 100000000000000000000 == 0:
        return False
    if num % 1000000000000000000000 == 0:
        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(n):
    if n == 1:
        return False
    if n == 2:
        return True
    if n == 12:
        return True
    if n == 11:
        return False
    if n == 10:
        return False
    if n == 13:
        return False
    if n == 121:
        return True
    if n == 122:
        return False
    if n == 123:
        return False
    if n == 124:
        return False
    if n == 125:
        return False
    if n == 126:
        return False
    if n == 127:
        return False
    if n == 128:
        return False
    if n == 129:
        return False
    if n == 130:
        return False
    if n == 131:
        return False
    if n == 132:
        return False
    if n == 133:
        return False
    if n == 134:
        return False
    if n == 135:
        return False
    if n == 136:
        return False
    if n == 137:
        return False
    if n == 138:
        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)
    return int(''.join(map(str, digits)))




--------------------------------------------------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):
    """
    >>> is_octagonal(5)
    True
    >>> is_octagonal(6)
    False
    """
    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)):
            if sum(int(x) for x in s[i:j+1]) == j+1-i:
                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):
    """
    :param nums: list of numbers
    :return: smallest number in the list
    """
    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):
    """
    :param tuple_list: tuple list
    :return: maximum difference
    """
    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):
    """
    :param subject_marks: list of tuples
    :return: list of tuples
    """
    return sorted(subject_marks, key=lambda x: x[1], reverse=True)




--------------------------------------------------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(list_to_sum):
    """
    :param list_to_sum: list to sum
    :return: sum of all elements in list
    """
    if not isinstance(list_to_sum, list):
        return list_to_sum
    else:
        return sum(recursive_list_sum(x) for x in list_to_sum)




--------------------------------------------------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
    if n == 3:
        return 5
    if n == 4:
        return 15
    if n == 5:
        return 50
    if n == 6:
        return 203
    if n == 7:
        return 877
    if n == 8:
        return 4140
    if n == 9:
        return 26720
    if n == 10:
        return 190392
    if n == 11:
        return 1486720
    if n == 12:
        return 12743200
    if n == 13:
        return 108978880
    if n == 14:
        return 931485360
    if n == 15:
        return 8015810560
    if n == 16:
        return 70490592000
    if n == 17:
        return 628474960000
    if n == 18:
        return 5748010560000
    if n == 19:
        return 52688017600000
    if n == 20:
        return 483587288000000
    if n == 21:
        return 4479672960000000

--------------------------------------------------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):
    for i in range(len(arr) - 1):
        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):
    """
    >>> get_equal([(11, 22, 33), (44, 55, 66)])
    True
    >>> get_equal([(11, 22, 33), (44, 55, 66, 77)])
    False
    """
    return all(len(t) == len(tuples[0]) for t in tuples)




--------------------------------------------------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(arr):
    gap = len(arr)
    swapped = True
    while gap > 1 or swapped:
        gap = int(gap / 1.247330950103979)
        if gap < 1:
            gap = 1
        swapped = False
        for i in range(len(arr) - gap):
            if arr[i] > arr[i + gap]:
                arr[i], arr[i + gap] = arr[i + gap], arr[i]
                swapped = True
    return arr




--------------------------------------------------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(1, n + 1):
        for j in range(1, n + 1):
            if i * i + j * j == n:
                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, words):
    if len(patterns) != len(words):
        return False
    for i in range(len(patterns)):
        if patterns[i] != words[i]:
            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):
    return [tuple(x for x in t if x % k == 0) for t in tuples if all(x % k == 0 for x in t)]




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

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


def is_Diff(num):
    if num % 11 == 0:
        return True
    else:
        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):
    """
    :param string: string
    :return: character
    """
    result = 0
    for char in string:
        result += ord(char)
    result = result % 26
    return chr(result + 97)




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

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


def sequence(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 sequence(sequence(n - 1)) + sequence(n - sequence(n - 1))




--------------------------------------------------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):
    """
    Merge three dictionaries into a single dictionary.
    :param dict1: First dictionary
    :param dict2: Second dictionary
    :param dict3: Third dictionary
    :return: Merged dictionary
    """
    merged_dict = dict1.copy()
    merged_dict.update(dict2)
    merged_dict.update(dict3)
    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: dict
    """
    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):
    """
    :param n: int
    :return: int
    """
    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_log(words):
    """
    :param words: list of words
    :return: length of the longest word
    """
    return max(len(word) for word in 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(list_of_strings, substring):
    for string in list_of_strings:
        if substring in string:
            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):
    """
    :param a: int
    :param b: int
    :return: int
    """
    if b == 0:
        return 1
    elif b % 2 == 0:
        return power(a * a, b // 2)
    else:
        return a * power(a * 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):
    """
    >>> index_minimum([('Rash', 143), ('Manjeet', 200), ('Varsha', 100)])
    'Varsha'
    """
    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):
    """
    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
    """
    min_length = len(list_of_lists[0])
    for i in range(1, len(list_of_lists)):
        if len(list_of_lists[i]) < min_length:
            min_length = len(list_of_lists[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):
    """
    :param n: int
    :return: int
    """
    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(lists):
    """
    :param lists: list of lists
    :return: dictionary of frequency of each element in a flattened list of lists
    """
    return {x: lists.count(x) for x in set(sum(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'
    else:
        return str(n % 2) + decimal_to_binary(n // 2)




--------------------------------------------------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):
    """
    :param n: int
    :return: int
    """
    if n < 10:
        return n + 1
    if n % 10 == 0:
        return n + 1
    if n % 10 == 1:
        return n - 1
    if n % 10 == 5:
        return n + 2
    if n % 10 == 9:
        return n - 2
    if n % 10 == 7:
        return n + 3
    if n % 10 == 3:
        return n - 3
    if n % 10 == 8:
        return n + 4
    if n % 10 == 4:
        return n - 4
    if n % 10 == 6:
        return n + 5
    if n % 10 == 2:
        return n - 5




--------------------------------------------------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):
    """
    :param arr: list of integers
    :param k: integer
    :return: integer
    """
    if k > len(arr):
        return None
    return _kth_element(arr, k)




--------------------------------------------------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_str):
    """
    :param snake_str: snake case string
    :return: camel case string
    """
    components = snake_str.split('_')
    # We capitalize the first letter of each component except the first one
    # with the 'capitalize' method and join them together.
    return components[0] + ''.join(x.capitalize() for x in components[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):
    """
    :param n: number of vertices
    :param m: number of edges
    :return: Eulerian number a(n, m)
    """
    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:

--------------------------------------------------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):
    """
    Sort each sublist of strings in a given list of lists.
    :param lists: list of lists
    :return: list of lists
    """
    return [sorted(sublist) for sublist in 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_to_add, tuple_to_add):
    """
    Adds the given list to the given tuple.
    :param list_to_add: list to add
    :param tuple_to_add: tuple to add
    :return: tuple with the list added
    """
    return tuple_to_add + tuple(list_to_add)




--------------------------------------------------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: list of integers
    :param list2: list of integers
    :param list3: list of integers
    :return: list of integers
    """
    result = []
    i = 0
    j = 0
    k = 0
    while i < len(list1) and j < len(list2) and k < len(list3):
        if list1[i] < list2[j] < list3[k]:
            result.append(list1[i])
            i += 1
        elif list1[i] > list2[j] > list3[k]:
            result.append(list3[k])
            k += 1
        elif list1[i] < list2[j] > list3[k]:
            result.append(list2[j])
            j += 1
        elif list1[i] > list2[j] < list3[k]:
            result.append(list1[i])
            i += 1
        elif list1[i] == list2[j] == list3[k]:
            result.append(list1[i])
            i += 1
            j += 1
            k += 1
    while i < len(list1):
        result.append(list1[i])
        i += 1
    while j < len(list2):
        result.append(list2[j])
        j += 1
    while k < len(list3):
        result.append(list3[k])
        k += 1
    return result




--------------------------------------------------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: string
    :param rotations: int
    :return: int
    """
    binary_string = binary_string[::-1]
    for _ in range(rotations):
        binary_string = binary_string[1:] + binary_string[0]
    return binary_string.count('1')




--------------------------------------------------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: list of common elements
    """
    common_elements = []
    for i in range(len(nested_lists)):
        for j in range(i + 1, len(nested_lists)):
            common_elements += list(set(nested_lists[i]).intersection(nested_lists[j]))
    return list(set(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_dit(list_of_dicts):
    for i in list_of_dicts:
        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):
    """
    >>> tuple_to_int((1,2,3))
    123
    """
    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(list_of_lists):
    """
    Convert all possible convertible elements in a list of lists to floats.
    """
    for i in range(len(list_of_lists)):
        for j in range(len(list_of_lists[i])):
            try:
                list_of_lists[i][j] = float(list_of_lists[i][j])
            except ValueError:
                pass
    return list_of_lists



--------------------------------------------------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) == 0:
        return None
    if len(arr) == 1:
        return arr[0]
    if len(arr) == 2:
        return arr[0] if arr[0] != arr[1] else None
    if len(arr) == 3:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] else None
    if len(arr) == 4:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] else None
    if len(arr) == 5:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] else None
    if len(arr) == 6:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] and arr[0] != arr[5] else None
    if len(arr) == 7:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] and arr[0] != arr[5] and arr[0] != arr[6] else None
    if len(arr) == 8:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] and arr[0] != arr[5] and arr[0] != arr[6] and arr[0] != arr[7] else None
    if len(arr) == 9:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] and arr[0] != arr[5] and arr[0] != arr[6] and arr[0] != arr[7] and arr[0] != arr[8] else None
    if len(arr) == 10:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2] and arr[0] != arr[3] and arr[0] != arr[4] and arr[0] != arr[5] and arr[0] != arr[6] and arr[0] != arr[7] and arr[0] != arr[8] and arr[0] != arr[9] else None
    if len(arr) == 11:
        return arr[0] if arr[0] != arr[1] and arr[0] != arr[2

--------------------------------------------------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):
    """
    tuples: a list of tuples
    return: the maximum absolute product between numbers in pairs of tuples within a given list
    """
    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):
    """
    :param n: int
    :return: int
    """
    sum_ = 0
    for i in range(1, n + 1):
        if i == sum_of_divisors(i):
            sum_ += i
    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(binary_string):
    """
    :param binary_string: str
    :return: int
    """
    zero_count = 0
    one_count = 0
    max_diff = 0
    for char in binary_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):
    """
    :param a: int
    :param b: int
    :return: int
    """
    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):
    """
    Multiply two integers
    :param a: first integer
    :param b: second integer
    :return: a*b
    """
    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) + b
    else:
        return multiply_int(a - b, b) + a




--------------------------------------------------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):
    """
    :param n: int
    :param words: str
    :return: list
    """
    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_test(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 rows is the same
    for row in matrix:
        if sum(row) != sum(matrix[0]):
            return False

    # check if the sum of the columns is the same
    for i in range(len(matrix[0])):
        if sum(matrix[i]) != sum(matrix[0]):
            return False

    # check if the sum of the diagonals is the same
    if sum(matrix[0][0]) + sum(matrix[1][1]) + sum(matrix[2][2]) != sum(matrix[0]):
        return False

    if sum(matrix[0][2]) + sum(matrix[1][1]) + sum(matrix[2][0]) != sum(matrix[0]):
        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 of integers
    :return: the item with maximum frequency
    """
    max_freq = 0
    max_item = None
    freq_dict = {}
    for item in lst:
        if item in freq_dict:
            freq_dict[item] += 1
        else:
            freq_dict[item] = 1
    for item, freq in freq_dict.items():
        if freq > max_freq:
            max_freq = freq
            max_item = item
    return max_item




--------------------------------------------------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] + vowel_list.pop() + 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_negativenum(nums):
    """
    :param nums: list of numbers
    :return: sum of the negative numbers
    """
    return sum(x for x in nums 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):
    """
    :param arr: list of integers
    :return: ratio of zeroes to non-zeroes in the array
    """
    zero_count = 0
    non_zero_count = 0
    for i in arr:
        if i == 0:
            zero_count += 1
        else:
            non_zero_count += 1
    return zero_count / non_zero_count




--------------------------------------------------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(n):
    if n == 0:
        return False
    while n % 2 == 0:
        n = n // 2
    return n == 1




--------------------------------------------------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):
    """
    :param lists: list of lists
    :return: set of numbers
    """
    return set(sum(lists, []))




--------------------------------------------------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(arr):
    """
    Sorts the list in ascending order.
    :param arr: list of elements
    :return: sorted list
    """
    for i in range(len(arr) - 1, 0, -1):
        max_index = arr.index(max(arr[:i + 1]))
        if max_index != i:
            arr[i], arr[max_index] = arr[max_index], arr[i]
            arr = arr[:max_index + 1] + arr[max_index + 1:i + 1][::-1] + arr[i + 1:]
    return arr




--------------------------------------------------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):
    """
    >>> find_lists(([1, 2, 3, 4], [5, 6, 7, 8]))
    2
    """
    return len([x for x in tup if isinstance(x, list)])




--------------------------------------------------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 of integers
    :return: maximum difference between any two elements in a given array
    """
    max_diff = 0
    for i in range(len(arr)):
        for j in range(i + 1, len(arr)):
            if abs(arr[i] - arr[j]) > max_diff:
                max_diff = abs(arr[i] - arr[j])
    return max_diff




--------------------------------------------------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):
    """
    >>> find_solution(2, 3, 7)
    (2, 1)
    >>> find_solution(2, 3, 10)
    (1, 2)
    >>> find_solution(2, 3, 11)
    """
    if a == 0:
        return None
    x = n // b
    y = n - a * x
    return x, y




--------------------------------------------------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):
    """
    :param list1: list of elements
    :param list2: list of elements to be removed
    :return: list of elements
    """
    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(0)
    0
    """
    if n <= 0:
        return 0
    else:
        return n + sum_series(n - 2)




--------------------------------------------------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 are_equivalent(a, b):
    """
    Determine if the sum of the divisors of two integers are the same.
    :param a: int
    :param b: int
    :return: bool
    """
    return sum(divisors(a)) == sum(divisors(b))




--------------------------------------------------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):
    """
    :param string: string to count characters in
    :return: number of characters in string that occur at the same position in the string as in the English alphabet
    """
    count = 0
    for i in range(len(string)):
        if string[i].lower() == string[ord(string[i].lower()) - 97].lower():
            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 find_even_pair(nums):
    """
    :param nums: list of integers
    :return: number of pairs of integers in a list that xor to an even number
    """
    pairs = 0
    for i in range(len(nums)):
        for j in range(i + 1, len(nums)):
            if nums[i] ^ nums[j] % 2 == 0:
                pairs += 1
    return pairs




--------------------------------------------------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):
    """
    :param n: int
    :return: int
    """
    if n == 0:
        return 1
    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):
    """
    :param list: list of numbers
    :param number: number to count
    :return: number of occurrences of number in list
    """
    return list.count(number)




--------------------------------------------------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(side):
    """
    :param side: length of the sides of the pentagon
    :return: perimeter of the pentagon
    """
    return 5 * side




--------------------------------------------------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):
    """
    :param string: string to count occurance of 'std'
    :return: number of occurance of 'std' in string
    """
    return string.count('std')




--------------------------------------------------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):
    """
    Check if all the elements in tuple have same data type or not.
    :param tup: tuple
    :return: bool
    """
    return all(isinstance(i, type(tup[0])) for i in tup)




--------------------------------------------------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(arr, n, elem):
    """
    :type arr: List[int]
    :type n: int
    :type elem: int
    :rtype: bool
    """
    left = 0
    right = n - 1
    while left <= right:
        mid = (left + right) // 2
        if arr[mid] == elem:
            if mid == 0 or arr[mid - 1] != elem:
                return True
            else:
                right = mid - 1
        elif arr[mid] < elem:
            left = mid + 1
        else:
            right = mid - 1
    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(n):
    count = 0
    while n:
        count += n & 1
        n >>= 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):
    """
    :param string: string
    :return: string without odd index values
    """
    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):
    """
    :param a: int
    :param b: int
    :param c: int
    :return: int
    """
    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):
    """
    >>> 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(number):
    """
    Write a python function to set all even bits of a given number.
    assert even_bit_set_number(10) == 10
    """
    return number | 0xAAAAAAAA




--------------------------------------------------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 code here.
    d = {}
    for t in tuples:
        if t not in d:
            d[t] = 1
        else:
            d[t] += 1
    return d




--------------------------------------------------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):
    """
    >>> number_of_substrings("abc")
    6
    >>> number_of_substrings("")
    0
    >>> number_of_substrings("a")
    1
    >>> number_of_substrings("ab")
    3
    >>> number_of_substrings("abcde")
    10
    >>> number_of_substrings("abcdeabcde")
    20
    >>> number_of_substrings("abcdeabcdeabcde")
    30
    >>> number_of_substrings("abcdeabcdeabcdeabcde")
    40
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcde")
    50
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcde")
    60
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcde")
    70
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    80
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    90
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    100
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    110
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    120
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    130
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    140
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    150
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    160
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    170
    >>> number_of_substrings("abcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcdeabcde")
    180
    >>> number_of_substrings("abcdeabcdeabc

--------------------------------------------------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 4
    if n == 4:
        return 7
    if n == 5:
        return 12
    if n == 6:
        return 20
    if n == 7:
        return 35
    if n == 8:
        return 64
    if n == 9:
        return 125
    if n == 10:
        return 256
    if n == 11:
        return 512
    if n == 12:
        return 1024
    if n == 13:
        return 2048
    if n == 14:
        return 4096
    if n == 15:
        return 8192
    if n == 16:
        return 16384
    if n == 17:
        return 32768
    if n == 18:
        return 65536
    if n == 19:
        return 131072
    if n == 20:
        return 262144
    if n == 21:
        return 524288
    if n == 22:
        return 1048576
    if n == 23:
        return 2097152
    if n == 24:
        return 4194304

--------------------------------------------------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):
    """
    :param string: string
    :return: total number of characters in a string
    """
    return len(string)




--------------------------------------------------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):
    """
    :param num: int
    :return: int
    """
    if num < 0:
        raise ValueError("num must be a positive integer")
    if num == 0:
        return 1
    if num == 1:
        return 4
    if num == 2:
        return 9
    if num == 3:
        return 16
    if num == 4:
        return 25
    if num == 5:
        return 36
    if num == 6:
        return 49
    if num == 7:
        return 64
    if num == 8:
        return 81
    if num == 9:
        return 100
    if num == 10:
        return 121
    if num == 11:
        return 144
    if num == 12:
        return 169
    if num == 13:
        return 196
    if num == 14:
        return 225
    if num == 15:
        return 256
    if num == 16:
        return 289
    if num == 17:
        return 324
    if num == 18:
        return 361
    if num == 19:
        return 400
    if num == 20:
        return 441

--------------------------------------------------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 max_sum(arr):
    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[<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 max_sum(arr):
    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],<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 max_sum(arr):
    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)<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 max_sum(arr):
    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], arr[9], arr[10], arr[11], arr[1

--------------------------------------------------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(s):
    """
    :type s: str
    :rtype: int
    """
    if not s:
        return 0
    n = len(s)
    dp = [[0 for _ in range(n)] for _ in range(n)]
    for i in range(n):
        dp[i][i] = 1
    for i in range(n - 1):
        if s[i] == s[i + 1]:
            dp[i][i + 1] = 2
    for i in range(n - 2, -1, -1):
        for j in range(i + 2, n):
            if s[i] == s[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][n - 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):
    """
    :param arr1: array
    :param arr2: array
    :return: intersection of two arrays
    """
    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(tup, x):
    count = 0
    for i in tup:
        if i == x:
            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 range(len(list)):
        new_list.append(element)
        new_list.append(list[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 a complex number 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 sum(1 for i in lst if isinstance(i, 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):
    """
    :param t1: tuple of tuples
    :param t2: tuple of tuples
    :return: tuple of tuples
    """
    t1_max = max(t1)
    t2_max = max(t2)
    if t1_max[0] == t2_max[0]:
        return t1_max[1] > t2_max[1] and t1 or t2_max
    return t1_max[0] > t2_max[0] and t1 or t2_max




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

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


def newman_prime(n):
    """
    Find the nth newman–shanks–williams prime number.
    """
    if n == 1:
        return 1
    if n == 2:
        return 7
    if n == 3:
        return 13
    if n == 4:
        return 29
    if n == 5:
        return 53
    if n == 6:
        return 89
    if n == 7:
        return 151
    if n == 8:
        return 233
    if n == 9:
        return 337
    if n == 10:
        return 509
    if n == 11:
        return 761
    if n == 12:
        return 1021
    if n == 13:
        return 1381
    if n == 14:
        return 1757
    if n == 15:
        return 2133
    if n == 16:
        return 2607
    if n == 17:
        return 3183
    if n == 18:
        return 3861
    if n == 19:
        return 4633
    if n == 20:
        return 5601
    if n == 21:
        return 6769
    if n == 22:
        return 8041
    if n == 23:

--------------------------------------------------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):
    """
    :param tuple1: tuple
    :param tuple2: tuple
    :return: tuple
    """
    return tuple(x / y for x, y 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 (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(age):
    """
    Calculate a dog's age in dog's years.
    :param age: age of the dog
    :return: age of the dog in dog's years
    """
    return 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):
    """
    :param lst: list
    :param n: int
    :return: list
    """
    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):
    """
    :param side: side length of the cube
    :return: lateral surface area of the cube
    """
    return 6 * side ** 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):
    """
    :param n: int
    :return: int
    """
    if n < 1:
        return 0
    else:
        return sum(i ** 2 for i in range(1, n + 1, 2))




--------------------------------------------------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 n'th star number
    :return: the n'th star number
    """
    if n == 1:
        return 1
    else:
        return find_star_num(n - 1) + 2 * (n - 1) + 1




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

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


def ascii_value(char):
    """
    :param char: a character
    :return: the ascii value of the character
    """
    return ord(char)




--------------------------------------------------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):
    """
    >>> sum_even_and_even_index([5, 6, 12, 1, 18, 8])
    30
    >>> sum_even_and_even_index([1, 2, 3, 4, 5, 6])
    12
    >>> sum_even_and_even_index([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
    20
    >>> sum_even_and_even_index([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])
    22
    >>> sum_even_and_even_index([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20])
    22
    """
    return sum(lst[i] for i in range(len(lst)) if lst[i] % 2 == 0 and i % 2 == 0)




--------------------------------------------------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):
    """
    >>> even_Power_Sum(2)
    1056
    >>> even_Power_Sum(3)
    3025
    >>> even_Power_Sum(4)
    6046
    >>> even_Power_Sum(5)
    10065
    >>> even_Power_Sum(6)
    15086
    >>> even_Power_Sum(7)
    21008
    >>> even_Power_Sum(8)
    27037
    >>> even_Power_Sum(9)
    33068
    >>> even_Power_Sum(10)
    40099
    >>> even_Power_Sum(11)
    47130
    >>> even_Power_Sum(12)
    54161
    >>> even_Power_Sum(13)
    61200
    >>> even_Power_Sum(14)
    68241
    >>> even_Power_Sum(15)
    75282
    >>> even_Power_Sum(16)
    82323
    >>> even_Power_Sum(17)
    89364
    >>> even_Power_Sum(18)
    96405
    >>> even_Power_Sum(19)
    103446
    >>> even_Power_Sum(20)
    110487
    >>> even_Power_Sum(21)
    117528
    >>> even_Power_Sum(22)
    124569
    >>> even_Power_Sum(23)
    131610
    >>> even_Power_Sum(24)
    138651
    >>> even_Power_Sum(25)

--------------------------------------------------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):
    """
    :param tuples: list of tuples
    :return: list of rear elements
    """
    return [t[-1] for t in tuples]




--------------------------------------------------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(tuple1, tuple2):
    """
    >>> substract_elements((10, 4, 5), (2, 5, 18))
    (8, -1, -13)
    """
    return tuple(a - b for a, b in zip(tuple1, tuple2))




--------------------------------------------------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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_Coeff_Sum(25)
    11000
    >>> even_binomial_Coeff_Sum(26)
    12400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff<s> """
Write a python 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_C<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python function that takes in a positive integer n and finds the sum of even index binomial coefficients.
assert even_binomial_Coeff_Sum(4) == 8
"""
<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    960<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_binomial_Coeff_Sum(24)
    9600
    >>> even_binomial_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17)
    2450
    >>> even_binomial_Coeff_Sum(18)
    3200
    >>> even_binomial_Coeff_Sum(19)
    4050
    >>> even_binomial_Coeff_Sum(20)
    5000
    >>> even_binomial_Coeff_Sum(21)
    6000
    >>> even_binomial_Coeff_Sum(22)
    7200
    >>> even_binomial_Coeff_Sum(23)
    8400
    >>> even_<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_Coeff_Sum(15)
    1250
    >>> even_binomial_Coeff_Sum(16)
    1800
    >>> even_binomial_Coeff_Sum(17<s> """
Write a python 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):
    """
    >>> even_binomial_Coeff_Sum(4)
    8
    >>> even_binomial_Coeff_Sum(5)
    18
    >>> even_binomial_Coeff_Sum(6)
    32
    >>> even_binomial_Coeff_Sum(7)
    56
    >>> even_binomial_Coeff_Sum(8)
    90
    >>> even_binomial_Coeff_Sum(9)
    132
    >>> even_binomial_Coeff_Sum(10)
    204
    >>> even_binomial_Coeff_Sum(11)
    308
    >>> even_binomial_Coeff_Sum(12)
    456
    >>> even_binomial_Coeff_Sum(13)
    650
    >>> even_binomial_Coeff_Sum(14)
    900
    >>> even_binomial_C