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Mbpp/2 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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))
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def similar_elements(test_tup1, test_tup2):
return tuple(set(test_tup1) & set(test_tup2))
``` |
Mbpp/3 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to identify non-prime numbers
assert is_not_prime(2) == False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import math
def is_not_prime(n):
if n == 1:
return True
for i in range(2, int(math.sqrt(n))+1):
if n % i == 0:
return True
return False
``` |
Mbpp/4 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import heapq as hq
def heap_queue_largest(nums: list,n: int) -> list:
largest_nums = hq.nlargest(n, nums)
return largest_nums
``` |
Mbpp/6 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_Power_Of_Two(x: int):
return x > 0 and (x & (x - 1)) == 0
def differ_At_One_Bit_Pos(a: int,b: int):
return is_Power_Of_Two(a ^ b)
``` |
Mbpp/7 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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'])
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import re
def find_char_long(text):
return (re.findall(r"\b\w{4,}\b", text))
``` |
Mbpp/8 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def square_nums(nums):
return [i**2 for i in nums]
``` |
Mbpp/9 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_Rotations(s):
n = len(s)
s += s
for i in range(1, n + 1):
if s[i: i + n] == s[0: n]:
return i
return n
``` |
Mbpp/11 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to remove first and last occurrence of a given character from the string
assert remove_Occ("hello","l") == "heo"
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def remove_Occ(s,ch):
s = s.replace(ch, '', 1)
s = s[::-1].replace(ch, '', 1)[::-1]
return s
``` |
Mbpp/12 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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]]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sort_matrix(M):
result = sorted(M, key=sum)
return result
``` |
Mbpp/14 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the volume of a triangular prism
assert find_Volume(10,8,6) == 240
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_Volume(l,b,h) :
return ((l * b * h) / 2)
``` |
Mbpp/16 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import re
def text_lowercase_underscore(text):
return bool(re.match('^[a-z]+(_[a-z]+)*$', text))
``` |
Mbpp/17 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function that returns the perimeter of a square given its side length as input
assert square_perimeter(10)==40
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def square_perimeter(a):
return 4*a
``` |
Mbpp/18 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to remove characters from the first string which are present in the second string
assert remove_dirty_chars("probasscurve", "pros") == 'bacuve'
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def remove_dirty_chars(string, second_string):
for char in second_string:
string = string.replace(char, '')
return string
``` |
Mbpp/19 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find whether a given array of integers contains any duplicate element
assert test_duplicate(([1,2,3,4,5]))==False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def test_duplicate(arraynums):
return len(arraynums) != len(set(arraynums))
``` |
Mbpp/20 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to check if the given number is woodball or not
assert is_woodall(383) == True
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_woodall(x):
if not isinstance(x, int):
return False
if x <= 0 or x % 2 == 0:
return False
if (x == 1):
return True
x += 1
i = 0
while (x % 2 == 0):
x /= 2
i += 1
if (i == x):
return True
return False
``` |
Mbpp/56 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to check if a given number is one less than twice its reverse
assert check(70) == False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def check(n):
return n == 2 * int(str(n)[::-1]) - 1
``` |
Mbpp/57 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_Max_Num(arr) :
arr.sort(reverse = True)
return int("".join(map(str,arr)))
``` |
Mbpp/58 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to check whether the given two integers have opposite sign or not
assert opposite_Signs(1,-2) == True
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def opposite_Signs(x,y):
return ((x ^ y) < 0)
``` |
Mbpp/59 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the nth octagonal number
assert is_octagonal(5) == 65
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_octagonal(n):
return 3 * n * n - 2 * n
``` |
Mbpp/61 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to count the number of substrings with the sum of digits equal to their length
assert count_Substrings('112112') == 6
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
from collections import defaultdict
def count_Substrings(s):
n, count, sum = len(s), 0, 0
mp = defaultdict(lambda : 0)
mp[0] += 1
for i in range(n):
sum += ord(s[i]) - ord('0')
count += mp[sum - i - 1]
mp[sum - i - 1] += 1
return count
``` |
Mbpp/62 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find smallest number in a list
assert smallest_num([10, 20, 1, 45, 99]) == 1
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def smallest_num(xs):
assert len(xs) > 0, "invalid inputs"
return min(xs)
``` |
Mbpp/63 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def max_difference(test_list):
return max(abs(a - b) for a, b in test_list)
``` |
Mbpp/64 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def subject_marks(subjectmarks):
#subject_marks = [('English', 88), ('Science', 90), ('Maths', 97), ('Social sciences', 82)])
subjectmarks.sort(key = lambda x: x[1])
return subjectmarks
``` |
Mbpp/65 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to flatten a list and sum all of its elements
assert recursive_list_sum(([1, 2, [3,4],[5,6]]))==21
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def recursive_list_sum(data_list):
total = 0
for element in data_list:
if type(element) == type([]):
total = total + recursive_list_sum(element)
else:
total = total + element
return total
``` |
Mbpp/66 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to count the number of positive numbers in a list
assert pos_count([1,-2,3,-4]) == 2
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def pos_count(l):
return len([x for x in l if x > 0])
``` |
Mbpp/67 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the number of ways to partition a set of Bell numbers
assert bell_number(2)==2
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def bell_number(n):
bell = [[0 for i in range(n+1)] for j in range(n+1)]
bell[0][0] = 1
for i in range(1, n+1):
bell[i][0] = bell[i-1][i-1]
for j in range(1, i+1):
bell[i][j] = bell[i-1][j-1] + bell[i][j-1]
return bell[n][0]
``` |
Mbpp/68 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to check whether the given array is monotonic or not
assert is_Monotonic([6, 5, 4, 4]) == True
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_Monotonic(A):
return all(a <= b for a, b in zip(A, A[1:])) or all(a >= b for a, b in zip(A, A[1:]))
``` |
Mbpp/69 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_sublist(l, s):
if len(l) < len(s):
return False
return any(l[i:i+len(s)] == s for i in range(len(l)-len(s)+1))
``` |
Mbpp/70 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def get_equal(Input):
return len(set(len(item) for item in Input)) == 1
``` |
Mbpp/71 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to sort a list of elements
assert comb_sort([5, 15, 37, 25, 79]) == [5, 15, 25, 37, 79]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def comb_sort(nums):
n = len(nums)
gap = n
shrink = 1.3
swapped = True
while gap > 1 or swapped:
gap = int(gap / shrink)
if gap < 1:
gap = 1
swapped = False
for i in range(n - gap):
if nums[i] > nums[i + gap]:
nums[i], nums[i + gap] = nums[i + gap], nums[i]
swapped = True
return nums
``` |
Mbpp/72 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def dif_Square(n):
# see https://www.quora.com/Which-numbers-can-be-expressed-as-the-difference-of-two-squares
return n % 4 != 2
``` |
Mbpp/74 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_samepatterns(colors, patterns):
if len(colors) != len(patterns):
return False
pattern_color_dict = {pattern: set() for pattern in patterns}
for color, pattern in zip(colors, patterns):
pattern_color_dict[pattern].add(color)
return all(len(pattern_color_dict[pattern]) == 1 for pattern in patterns)
``` |
Mbpp/75 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_tuples(test_list, K):
res = [sub for sub in test_list if all(ele % K == 0 for ele in sub)]
return res
``` |
Mbpp/77 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find whether a number is divisible by 11
assert is_Diff (12345) == False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_Diff(n):
return n % 11 == 0
``` |
Mbpp/79 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to check whether the length of the word is odd or not
assert word_len("Hadoop") == False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def word_len(s):
return len(s) % 2 == 1
``` |
Mbpp/80 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the nth tetrahedral number
assert tetrahedral_number(5) == 35
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def tetrahedral_number(n):
return (n * (n + 1) * (n + 2)) / 6
``` |
Mbpp/82 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the volume of a sphere
assert math.isclose(volume_sphere(10), 4188.790204786391, rel_tol=0.001)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import math
def volume_sphere(r):
return (4./3.) * math.pi * (r**3)
``` |
Mbpp/84 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the nth number in the newman conway sequence
assert sequence(10) == 6
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sequence(n):
if n == 1 or n == 2:
return 1
seq = [0] * (n + 1)
seq[1] = seq[2] = 1
for i in range(3, n + 1):
seq[i] = seq[seq[i - 1]] + seq[i - seq[i - 1]]
return seq[n]
``` |
Mbpp/85 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the surface area of a sphere
assert math.isclose(surfacearea_sphere(10), 1256.6370614359173, rel_tol=0.001)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import math
def surfacearea_sphere(r):
return 4 * math.pi * (r**2)
``` |
Mbpp/86 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find nth centered hexagonal number
assert centered_hexagonal_number(10) == 271
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def centered_hexagonal_number(n):
return 3 * n * (n - 1) + 1
``` |
Mbpp/87 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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'}
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import collections as ct
def merge_dictionaries_three(dict1,dict2, dict3):
merged_dict = dict(ct.ChainMap({},dict1,dict2,dict3))
return merged_dict
``` |
Mbpp/88 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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})
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import collections
def freq_count(list1):
freq_count= collections.Counter(list1)
return freq_count
``` |
Mbpp/89 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the closest smaller number than n
assert closest_num(11) == 10
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def closest_num(N):
return (N - 1)
``` |
Mbpp/90 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the length of the longest word
assert len_log(["python","PHP","bigdata"]) == 7
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def len_log(list1):
return max(len(x) for x in list1)
``` |
Mbpp/91 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_substring(str1, sub_str):
return any(sub_str in s for s in str1)
``` |
Mbpp/92 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to check whether the given number is undulating or not
assert is_undulating(1212121) == True
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_undulating(n):
digits = [int(digit) for digit in str(n)]
if len(set(digits)) != 2:
return False
return all(a != b for a, b in zip(digits, digits[1:]))
``` |
Mbpp/93 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to calculate the value of 'a' to the power 'b'
assert power(3,4) == 81
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def power(a, b):
return a ** b
``` |
Mbpp/94 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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'
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
from operator import itemgetter
def index_minimum(test_list):
res = min(test_list, key = itemgetter(1))[0]
return (res)
``` |
Mbpp/95 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def Find_Min_Length(lst):
minLength = min(len(x) for x in lst )
return minLength
``` |
Mbpp/96 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the number of divisors of a given integer
assert divisor(15) == 4
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def divisor(n):
return sum(1 for i in range(1, n + 1) if n % i == 0)
``` |
Mbpp/97 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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}
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def frequency_lists(list1):
list1 = [item for sublist in list1 for item in sublist]
return {x: list1.count(x) for x in list1}
``` |
Mbpp/98 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def multiply_num(numbers):
from functools import reduce
return reduce(lambda x, y: x * y, numbers) / len(numbers)
``` |
Mbpp/99 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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'
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def decimal_to_binary(n):
return bin(n).replace("0b","")
``` |
Mbpp/100 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the next smallest palindrome of a specified integer, returned as an integer
assert next_smallest_palindrome(99)==101
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def next_smallest_palindrome(num):
if all(digit == '9' for digit in str(num)):
return num + 2
else:
num = [int(digit) for digit in str(num)]
n = len(num)
mid = n // 2
left_smaller = False
# if n is odd, ignore the middle digit at first
i = mid - 1
j = mid + 1 if n % 2 else mid
while i >= 0 and num[i] == num[j]:
i -= 1
j += 1
# stop if traverse end or difference found
if i < 0 or num[i] < num[j]:
left_smaller = True
# copy left to right
while i >= 0:
num[j] = num[i]
j += 1
i -= 1
# the middle digit must be incremented
if left_smaller:
carry = 1
i = mid - 1
if n % 2:
num[mid] += carry
carry = num[mid] // 10
num[mid] %= 10
j = mid + 1
else:
j = mid
while i >= 0:
num[i] += carry
carry = num[i] // 10
num[i] %= 10
num[j] = num[i]
j += 1
i -= 1
return int("".join(map(str, num)))
``` |
Mbpp/101 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def kth_element(arr, k):
return arr[k-1]
``` |
Mbpp/102 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to convert a snake case string to camel case string
assert snake_to_camel('python_program')=='PythonProgram'
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def snake_to_camel(word):
return ''.join(x.capitalize() or '_' for x in word.split('_'))
``` |
Mbpp/103 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the Eulerian number a(n, m)
assert eulerian_num(3, 1) == 4
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def eulerian_num(n, m):
if (m >= n or n == 0):
return 0
if (m == 0):
return 1
return (n - m) * eulerian_num(n - 1, m - 1) + (m + 1) * eulerian_num(n - 1, m)
``` |
Mbpp/104 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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']]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sort_sublists(input_list):
return [sorted(x) for x in input_list]
``` |
Mbpp/105 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to count true booleans in the given list
assert count([True,False,True]) == 2
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def count(lst):
return sum(lst)
``` |
Mbpp/106 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def add_lists(test_list, test_tup):
return test_tup + tuple(test_list)
``` |
Mbpp/108 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import heapq
def merge_sorted_list(num1,num2,num3):
return sorted(num1 + num2 + num3)
``` |
Mbpp/109 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def odd_Equivalent(s,n):
count=0
for i in range(0,n):
if (s[i] == '1'):
count = count + 1
return count
``` |
Mbpp/111 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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])
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def common_in_nested_lists(nestedlist):
return list(set.intersection(*map(set, nestedlist)))
``` |
Mbpp/113 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to check if a string represents an integer or not
assert check_integer("python")==False
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def check_integer(text):
text = text.strip()
if len(text) < 1:
return None
else:
if text[0] in '+-':
text = text[1:]
return text.isdigit()
``` |
Mbpp/116 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to convert a given tuple of positive integers into a single integer
assert tuple_to_int((1,2,3))==123
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def tuple_to_int(nums):
return int(''.join(map(str,nums)))
``` |
Mbpp/118 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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']
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def string_to_list(string):
return string.split(" ")
``` |
Mbpp/119 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the element that appears only once in a sorted array
assert search([1,1,2,2,3]) == 3
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def search(arr):
n = len(arr)
XOR = 0
for i in range(n) :
XOR = XOR ^ arr[i]
return (XOR)
``` |
Mbpp/120 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def max_product_tuple(list1):
return max(abs(x * y) for x, y in list1)
``` |
Mbpp/123 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to sum all amicable numbers from 1 to a specified number
assert amicable_numbers_sum(999)==504
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def div_sum(num):
res = 1
i = 2
while i * i <= num:
if num % i == 0:
res += i
if i * i != num:
res += num / i
i += 1
return res
def amicable_numbers_sum(limit):
amicables = set()
for num in range(2, limit + 1):
if num in amicables:
continue
sum_fact = div_sum(num)
sum_fact2 = div_sum(sum_fact)
if num == sum_fact2 and num != sum_fact:
amicables.add(num)
amicables.add(sum_fact2)
return sum(amicables)
``` |
Mbpp/124 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to get the angle of a complex number
assert math.isclose(angle_complex(0,1j), 1.5707963267948966, rel_tol=0.001)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import cmath
def angle_complex(a,b):
angle=cmath.phase(a+b)
return angle
``` |
Mbpp/125 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_length(string):
current_sum = 0
max_sum = 0
for c in string:
current_sum += 1 if c == '0' else -1
if current_sum < 0:
current_sum = 0
max_sum = max(current_sum, max_sum)
return max_sum
``` |
Mbpp/126 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the sum of common divisors of two given numbers
assert sum(10,15) == 6
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import math
def sum(a,b):
sum = 0
n = math.gcd(a, b)
N = int(math.sqrt(n)) + 1
for i in range (1, N):
if (n % i == 0):
sum += i
if (n / i != i):
sum += (n / i)
return sum
``` |
Mbpp/127 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to multiply two integers
assert multiply_int(10,20)==200
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def multiply_int(x, y):
return x * y
``` |
Mbpp/128 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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']
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def long_words(n, s):
return list(filter(lambda x: len(x) > n, s.split(' ')))
``` |
Mbpp/129 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def magic_square_test(my_matrix):
s = sum(my_matrix[0])
# row
if any(sum(row) != s for row in my_matrix):
return False
# column
if any(sum(row[i] for row in my_matrix) != s for i in range(len(my_matrix[0]))):
return False
# diagonal
if sum(my_matrix[i][i] for i in range(len(my_matrix))) != s:
return False
# anti-diagonal
if sum(my_matrix[i][len(my_matrix) - i - 1] for i in range(len(my_matrix))) != s:
return False
return True
``` |
Mbpp/130 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
from collections import defaultdict
def max_occurrences(nums):
d = defaultdict(int)
for n in nums:
d[n] += 1
return max(d, key=d.get)
``` |
Mbpp/131 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to reverse only the vowels of a given string (where y is not a vowel)
assert reverse_vowels("Python") == "Python"
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def reverse_vowels(str1):
is_vowel = lambda x: x in 'aeiouAEIOU'
pos = [i for i, c in enumerate(str1) if is_vowel(c)]
return ''.join(c if not is_vowel(c) else str1[pos.pop()] for c in str1)
``` |
Mbpp/132 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to convert a tuple to a string
assert tup_string(('e', 'x', 'e', 'r', 'c', 'i', 's', 'e', 's'))==("exercises")
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def tup_string(tup1):
return ''.join(tup1)
``` |
Mbpp/133 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sum_negativenum(nums):
return sum(x for x in nums if x < 0)
``` |
Mbpp/135 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the nth hexagonal number
assert hexagonal_num(10) == 190
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def hexagonal_num(n):
return n * (2 * n - 1)
``` |
Mbpp/137 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def zero_count(nums):
if all(x == 0 for x in nums):
return float('inf')
return sum(x == 0 for x in nums) / sum(x != 0 for x in nums)
``` |
Mbpp/138 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def is_Sum_Of_Powers_Of_Two(n):
return n > 0 and n % 2 == 0
``` |
Mbpp/139 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the circumference of a circle
assert math.isclose(circle_circumference(10), 62.830000000000005, rel_tol=0.001)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
import math
def circle_circumference(r):
return 2 * math.pi * r
``` |
Mbpp/140 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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])
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def extract_singly(test_list):
return set([item for sublist in test_list for item in sublist])
``` |
Mbpp/141 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to sort a list of elements
assert comb_sort([5, 15, 37, 25, 79]) == [5, 15, 25, 37, 79]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def comb_sort(nums):
n = len(nums)
gap = n
shrink = 1.3
swapped = True
while gap > 1 or swapped:
gap = int(gap / shrink)
if gap < 1:
gap = 1
swapped = False
for i in range(n - gap):
if nums[i] > nums[i + gap]:
nums[i], nums[i + gap] = nums[i + gap], nums[i]
swapped = True
return nums
``` |
Mbpp/142 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def count_samepair(list1,list2,list3):
return sum(m == n == o for m, n, o in zip(list1,list2,list3))
``` |
Mbpp/145 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def max_Abs_Diff(arr):
return max(arr) - min(arr)
``` |
Mbpp/160 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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)
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_solution(a, b, n):
i = 0
while i * a <= n:
if (n - (i * a)) % b == 0:
return (i, (n - (i * a)) // b)
i = i + 1
return None
``` |
Mbpp/161 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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]
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def remove_elements(list1, list2):
return [x for x in list1 if x not in list2]
``` |
Mbpp/162 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to calculate the sum (n - 2*i) from i=0 to n // 2, for instance n + (n-2) + (n-4)
assert sum_series(6) == 12
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sum_series(n):
if n <= 0:
return 0
return sum(n - 2 * i for i in range(n // 2 + 1))
``` |
Mbpp/165 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def count_char_position(str1):
return sum(ord(ch.lower()) - ord('a') == i for i, ch in enumerate(str1))
``` |
Mbpp/166 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def find_even_pair(A):
if len(A) < 2:
return 0
return sum((a ^ b) % 2 == 0 for i, a in enumerate(A) for b in A[i + 1:])
``` |
Mbpp/167 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a python function to find the smallest power of 2 greater than or equal to n
assert next_power_of_2(0) == 1
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def next_power_of_2(n):
if n and not n & (n - 1):
return n
res = 1
while n != 0:
n >>= 1
res <<= 1
return res;
``` |
Mbpp/168 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to count the number of occurrences of a number in a given list
assert frequency([1,2,3], 4) == 0
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def frequency(a,x):
return a.count(x)
``` |
Mbpp/170 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def sum_range_list(list1, m, n):
return sum(list1[m : n + 1])
``` |
Mbpp/171 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to find the perimeter of a regular pentagon from the length of its sides
assert perimeter_pentagon(5) == 25
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def perimeter_pentagon(a):
return 5 * a
``` |
Mbpp/172 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
Write a function to count the number of occurence of the string 'std' in a given string
assert count_occurance("letstdlenstdporstd") == 3
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def count_occurance(s):
return s.count('std')
``` |
Mbpp/222 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def check_type(test_tuple):
return all(isinstance(item, type(test_tuple[0])) for item in test_tuple)
``` |
Mbpp/223 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
assert is_majority([1, 2, 3, 3, 3, 3, 10], 7, 3) == True
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
from bisect import bisect_left, bisect_right
def is_majority(arr, n, x):
if x not in arr:
return False
l = bisect_left(arr, x)
r = bisect_right(arr, x)
return r - l > n / 2
``` |
Mbpp/224 | Please provide a self-contained Python script that solves the following problem in a markdown code block:
```
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
```
### Answer:
Below is a Python script with a self-contained function that solves the problem and passes corresponding tests:
```python
def count_Set_Bits(n):
return bin(n)[2:].count('1')
``` |
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