Question:
Firstly, design an **OS** class using Python language, which has instance attributes **a** and **b**, a private function **private_Overlay_substring**, and a public function **public_Overlay_substring**. Then, implement the following problem in the private function **private_Overlay_substring**. Finally, call the private function **private_Overlay_substring** in the public function **public_Overlay_substring** to return the result.
Problem: Given two strings **a** and **b**, find the minimum number of times string **a** needs to be repeatedly overlaid so that string **b** becomes a substring of the overlaid string **a**. If it does not exist, return -1.

assert candidate("abcd","cdabcdab")==3
assert candidate("a","aa")==2
assert candidate("a","a")==1
assert candidate("abc","wxyz")==-1

def test_run(content1,content2):
    return OS(content1,content2).public_Overlay_substring()

assert candidate([["class OS", "def __init__(self, a, b)", "def _private_Overlay_substring","def public_Overlay_substring"], ["class OS", "def __init__(self, a, b)", "def __private_Overlay_substring","def public_Overlay_substring"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **KC** class using Python language, which has instance attributes **n**, **k**, **row**, and **column**, a private function **private_Knight_Chessboard**, and a public function **public_Knight_Chessboard**. Then, implement the following problem in the private function **private_Knight_Chessboard**. Finally, call the private function **private_Knight_Chessboard** in the public function **public_Knight_Chessboard** to return the result.
Problem: On an n x n international chessboard, a knight starts from the cell (row, column) and tries to make **k** moves. Rows and columns start from 0, so the top-left cell is (0,0), and the bottom-right cell is (n - 1, n - 1). The chess knight has 8 possible moves, each move is two cells in the basic direction, then one cell in the orthogonal direction. Each time the knight is to move, it randomly selects one from the 8 possible moves (even if the piece will leave the board), and then moves there. The knight continues to move until it has taken **k** steps or has left the board. Return the probability that the knight still remains on the board after it stops moving.

def test_run(content1,content2,content3,content4):
    return KC(content1,content2,content3,content4).public_Knight_Chessboard()

assert candidate([["class KC", "def __init__(self, n, k, row, column)", "def _private_Knight_Chessboard","def public_Knight_Chessboard"], ["class KC", "def __init__(self, n, k, row, column)", "def __private_Knight_Chessboard","def public_Knight_Chessboard"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **MS** class using Python language, which has instance attributes **nums** and **k**, a private function **private_Maximum_subarray**, and a public function **public_Maximum_subarray**. Then, implement the following problem in the private function **private_Maximum_subarray**. Finally, call the private function **private_Maximum_subarray** in the public function **public_Maximum_subarray** to return the result.
Problem: Given an integer array **nums** and an integer **k**, find three non-overlapping subarrays of length **k** with the maximum sum of all numbers (3*k items) and return these three subarrays.

def test_run(content1,content2):
    return MS(content1,content2).public_Maximum_subarray()

assert candidate([["class MS", "def __init__(self, nums, k)", "def _private_Maximum_subarray","def public_Maximum_subarray"], ["class MS", "def __init__(self, nums, k)", "def __private_Maximum_subarray","def public_Maximum_subarray"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class named **SW** using Python language, which has instance attributes **stickers** and **target**, a private function **private_Sticker_Words**, and a public function **public_Sticker_Words**. Then, implement the following problem in the private function **private_Sticker_Words**. Finally, call the private function **private_Sticker_Words** in the public function **public_Sticker_Words** to return the result.
Problem: There are **n** different types of stickers, each with a lowercase English word on it. You want to spell out a given string **target** by cutting individual letters from the collected stickers and rearranging them. If you wish, you can use each sticker multiple times, and the quantity of each sticker is unlimited. Return the minimum number of stickers required to spell out the **target**. If the task is impossible, return -1.

def test_run(content1,content2):
    return SW(content1,content2).public_Sticker_Words()

assert candidate([["class SW", "def __init__(self, stickers, target)", "def _private_Sticker_Words","def public_Sticker_Words"], ["class SW", "def __init__(self, stickers, target)", "def __private_Sticker_Words","def public_Sticker_Words"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design an **MT** class using the Python language, which has instance attributes **words** and **k**, a private function **private_Most_times**, and a public function **public_Most_times**. Then, in the private function **private_Most_times**, return the top **k** most frequently occurring words from a given word list **words** and an integer **k**. Finally, call the private function **private_Most_times** in the public function **public_Most_times** to return the result.

assert candidate(["i", "love", "leetcode", "i", "love", "coding"],2)==["i", "love"]

assert candidate(["the", "day", "is", "sunny", "the", "the", "the", "sunny", "is", "is"],4)==["the", "is", "sunny", "day"]

def test_run(content1,content2):
    return MT(content1,content2).public_Most_times()

assert candidate([["class MT", "def __init__(self, words, k)", "def _private_Most_times","def public_Most_times"], ["class MT", "def __init__(self, words, k)", "def __private_Most_times","def public_Most_times"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **AA** class using the Python language, which has an instance attribute **n**, a private function **private_Alternating_appearance**, and a public function **public_Alternating_appearance**. Then, implement the following problem in the private function **private_Alternating_appearance**. Finally, call the private function **private_Alternating_appearance** in the public function **public_Alternating_appearance** to return the result.
Problem: Given a positive integer, check whether its binary representation always alternates between 0 and 1. In other words, the adjacent digits in the binary representation are never the same. If 0 and 1 alternate, return True; otherwise, return False.

assert candidate(5)==True
assert candidate(7)==False
assert candidate(11)==False

def test_run(content1):
    return AA(content1).public_Alternating_appearance()

assert candidate([["class AA", "def __init__(self, n)", "def _private_Alternating_appearance","def public_Alternating_appearance"], ["class AA", "def __init__(self, n)", "def __private_Alternating_appearance","def public_Alternating_appearance"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **IA** class using Python language, which has an instance attribute **grid**, a private function **private_Island_area**, and a public function **public_Island_area**. Then, implement the following problem in the private function **private_Island_area**. Finally, call the private function **private_Island_area** in the public function **public_Island_area** to return the result.
Problem: Given a binary matrix **grid** of size m x n. An island is a combination of some adjacent 1s (representing land), where adjacency requires that two 1s must be adjacent in the horizontal or vertical four directions. It can be assumed that the four edges of the **grid** are surrounded by 0s (representing water). The area of the island is the number of cells on the island with a value of 1. Calculate and return the largest island area in the **grid**. If there is no island, return an area of 0.

def test_run(content1):
    return IA(content1).public_Island_area()

assert candidate([["class IA", "def __init__(self, grid)", "def _private_Island_area","def public_Island_area"], ["class IA", "def __init__(self, grid)", "def __private_Island_area","def public_Island_area"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design an **ES** class using Python language, which has instance attributes **nums** and **k**, a private function **private_Equal_sum**, and a public function **public_Equal_sum**. Then, in the private function **private_Equal_sum**, determine whether it is possible to divide this array into **k** non-empty subsets with equal sums, based on a given integer array **nums** and a positive integer **k**. Finally, call the private function **private_Equal_sum** in the public function **public_Equal_sum** to return the result.

def test_run(content1,content2):
    return ES(content1,content2).public_Equal_sum()

assert candidate([["class ES", "def __init__(self, nums, k)", "def _private_Equal_sum","def public_Equal_sum"], ["class ES", "def __init__(self, nums, k)", "def __private_Equal_sum","def public_Equal_sum"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **BS** class using Python language, which has an instance attribute **positions**, a private function **private_Block_stacking**, and a public function **public_Block_stacking**. Then, implement the following problem in the private function **private_Block_stacking**. Finally, call the private function **private_Block_stacking** in the public function **public_Block_stacking** to return the result.
Problem: Given a two-dimensional integer array **positions**, where positions[i] = [left_i, sideLength_i] indicates: the side length of the i-th block is **sideLength_i**, and its left side aligns with the coordinate point **left_i** on the x-axis. Each block falls from a height higher than all the currently landed blocks. The block falls in the negative direction of the y-axis until it lands on the top edge of another square or on the x-axis. A block merely brushing past the left or right side of another block does not count as landing. Once landed, it will be fixed in place and cannot move. After each block falls, you must record the highest height of the currently stable stacked blocks.

def test_run(content1):
    return BS(content1).public_Block_stacking()

assert candidate([["class BS", "def __init__(self, positions)", "def _private_Block_stacking","def public_Block_stacking"], ["class BS", "def __init__(self, positions)", "def __private_Block_stacking","def public_Block_stacking"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a **DC** class using the Python language, which has instance attributes **s1** and **s2**, a private function **private_Delete_Characters**, and a public function **public_Delete_Characters**. Then, in the private function **private_Delete_Characters**, return the minimum sum of the ASCII values of the characters that need to be deleted to make the two given strings **s1** and **s2** equal. Finally, call the private function **private_Delete_Characters** in the public function **public_Delete_Characters** to return the result.

assert candidate("sea","eat")==231
assert candidate("delete","leet")==403

def test_run(content1,content2):
    return DC(content1,content2).public_Delete_Characters()

assert candidate([["class DC", "def __init__(self, s1, s2)", "def _private_Delete_Characters","def public_Delete_Characters"], ["class DC", "def __init__(self, s1, s2)", "def __private_Delete_Characters","def public_Delete_Characters"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a **POE** class using Python language, which has instance attributes **nums** and **k**, a private function **private_Product_of_elements**, and a public function **public_Product_of_elements**. Then, in the private function **private_Product_of_elements**, return the number of continuous subarrays where the product of all elements in the subarray is strictly less than **k**, given an integer array **nums** and an integer **k**. Finally, in the public function **public_Product_of_elements**, call the private function **private_Product_of_elements** to return the result.

def test_run(content1,content2):
    return POE(content1,content2).public_Product_of_elements()

assert candidate([["class POE", "def __init__(self, nums, k)", "def _private_Product_of_elements","def public_Product_of_elements"], ["class POE", "def __init__(self, nums, k)", "def __private_Product_of_elements","def public_Product_of_elements"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **BS** class using Python language, which has instance attributes **prices** and **fee**, a private function **private_buy_share**, and a public function **public_buy_share**. Then, implement the following problem in the private function **private_buy_share**. Finally, call the private function **private_buy_share** in the public function **public_buy_share** to return the result.
Problem: Given an integer array **prices**, where prices[i] represents the stock price on the i-th day; the integer **fee** represents the transaction fee for trading stocks. You can complete transactions unlimited times, but you need to pay a fee for each transaction. If you have already purchased a stock, you cannot continue to buy stocks before selling it. Return the maximum profit that can be obtained.

def test_run(content1,content2):
    return BS(content1,content2).public_buy_share()

assert candidate([["class BS", "def __init__(self, prices, fee)", "def _private_buy_share","def public_buy_share"], ["class BS", "def __init__(self, prices, fee)", "def __private_buy_share","def public_buy_share"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **BC** class using the Python language, which has an instance attribute **bits**, a private function **private_Bit_character**, and a public function **public_Bit_character**. Then, implement the following problem in the private function **private_Bit_character**. Finally, call the private function **private_Bit_character** in the public function **public_Bit_character** to return the result.
Problem: There are two special characters: the first type of character can be represented by a one-bit 0; the second type of character can be represented by two bits (10 or 11). Given a binary array **bits** ending with 0, if the last character must be a one-bit character, return True; otherwise, return False.

assert candidate([1, 0, 0])==True
assert candidate([1,1,1,0])==False

def test_run(content1):
    return BC(content1).public_Bit_character()

assert candidate([["class BC", "def __init__(self, bits)", "def _private_Bit_character","def public_Bit_character"], ["class BC", "def __init__(self, bits)", "def __private_Bit_character","def public_Bit_character"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a **BL** class using Python language, which has instance attributes **nums1** and **nums2**, a private function **private_BLongest_length**, and a public function **public_BLongest_length**. Then, in the private function **private_BLongest_length**, return the length of the longest common subarray from the two given integer arrays **nums1** and **nums2**. Finally, call the private function **private_BLongest_length** in the public function **public_BLongest_length** to return the result.

def test_run(content1,content2):
    return BL(content1,content2).public_BLongest_length()

assert candidate([["class BL", "def __init__(self, nums1, nums2)", "def _private_BLongest_length","def public_BLongest_length"], ["class BL", "def __init__(self, nums1, nums2)", "def __private_BLongest_length","def public_BLongest_length"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **AD** class using Python language, which has instance attributes **nums** and **k**, a private function **private_absolute_difference**, and a public function **public_absolute_difference**. Then, implement the following problem in the private function **private_absolute_difference**. Finally, call the private function **private_absolute_difference** in the public function **public_absolute_difference** to return the result.
Problem: A pair of numbers (a, b) is composed of integers **a** and **b**, and the distance of the pair is defined as the absolute difference between **a** and **b**. Given an integer array **nums** and an integer **k**, the pair is composed of nums[i] and nums[j] and satisfies 0<= i<j<nums.length. Return the k-th smallest pair distance among all pair distances.

assert candidate([1,3,1],1)==0
assert candidate([1,1,1],2)==0
assert candidate([1,6,1],3)==5

def test_run(content1,content2):
    return AD(content1,content2).public_absolute_difference()

assert candidate([["class AD", "def __init__(self, nums, k)", "def _private_absolute_difference","def public_absolute_difference"], ["class AD", "def __init__(self, nums, k)", "def __private_absolute_difference","def public_absolute_difference"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **ED** class using the Python language, which has an instance attribute **words**, a private function **private_English_Dictionary**, and a public function **public_English_Dictionary**. Then, implement the following problem in the private function **private_English_Dictionary**. Finally, call the private function **private_English_Dictionary** in the public function **public_English_Dictionary** to return the result.
Problem: Given a string array **words** that forms an English dictionary, return the longest word in **words**. This word is formed by gradually adding one letter from other words in the **words** dictionary. If there are multiple feasible answers, return the word with the smallest lexicographical order among the answers. If there is no answer, return an empty string.

assert candidate(["a", "banana", "app", "appl", "ap", "apply", "apple"])=="apple"

def test_run(content1):
    return ED(content1).public_English_Dictionary()

assert candidate([["class ED", "def __init__(self, words)", "def _private_English_Dictionary","def public_English_Dictionary"], ["class ED", "def __init__(self, words)", "def __private_English_Dictionary","def public_English_Dictionary"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **LS** class using Python language, which has instance attributes **head** and **k**, a private function **private_List_separation**, and a public function **public_List_separation**. Then, implement the following problem in the private function **private_List_separation**. Finally, call the private function **private_List_separation** in the public function **public_List_separation** to return the result.
Problem: Given a singly linked list with a head node **head** and an integer **k**, please design an algorithm to divide the linked list into **k** consecutive parts. The length of each part should be as equal as possible: the difference in length between any two parts cannot exceed 1. This may cause some parts to be null. These **k** parts should be arranged in the order they appear in the linked list, and the length of the parts in the front should be greater than or equal to the length of the parts in the back. Return an array composed of the above **k** parts.

def test_run(content1,content2):
    return LS(content1,content2).public_public_List_separation()

assert candidate([["class LS", "def __init__(self, head, k)", "def _private_List_separation","def public_List_separation"], ["class LS", "def __init__(self, head, k)", "def __private_List_separation","def public_List_separation"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a **NOS** class using the Python language, which has an instance attribute **s**, a private function **private_Number_of_sequences**, and a public function **public_Number_of_sequences**. Then, in the private function **private_Number_of_sequences**, return the number of different non-empty palindrome sub-sequences in a given string **s**. Finally, in the public function **public_Number_of_sequences**, call the private function **private_Number_of_sequences** to return the result.

def test_run(content1):
    return NOS(content1).public_Number_of_sequences()

assert candidate([["class NOS", "def __init__(self, s)", "def _private_Number_of_sequences","def public_Number_of_sequences"], ["class NOS", "def __init__(self, s)", "def __private_Number_of_sequences","def public_Number_of_sequences"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **MI** class using Python language, which has an instance attribute **n**, a private function **private_monotonic_increase**, and a public function **public_monotonic_increase**. Then, implement the following problem in the private function **private_monotonic_increase**. Finally, call the private function **private_monotonic_increase** in the public function **public_monotonic_increase** to return the result.
Problem: An integer is said to be monotonically increasing if and only if each pair of adjacent digits **x** and **y** satisfy x <= y. Given an integer **n**, return the largest number less than or equal to **n** that is monotonically increasing.

assert candidate(10)==9
assert candidate(1234)==1234
assert candidate(332)==299

def test_run(content1):
    return MI(content1).public_monotonic_increase()

assert candidate([["class MI", "def __init__(self, n)", "def _private_monotonic_increase","def public_monotonic_increase"], ["class MI", "def __init__(self, n)", "def __private_monotonic_increase","def public_monotonic_increase"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **TR** using the Python language, which has an instance attribute **temperatures**, a private function **private_Temperature_rise**, and a public function **public_Temperature_rise**. Then, implement the following problem in the private function **private_Temperature_rise**. Finally, call the private function **private_Temperature_rise** in the public function **public_Temperature_rise** to return the result.
Problem: Given an integer array **temperatures** representing the temperature of each day, return an array **answer**, where answer[i] refers to the number of days until the next higher temperature for the i-th day. If the temperature will not rise after this, please replace it with 0 at this position.

def test_run(content1):
    return TR(content1).public_Temperature_rise()

assert candidate([["class TR", "def __init__(self, temperatures)", "def _private_Temperature_rise","def public_Temperature_rise"], ["class TR", "def __init__(self, temperatures)", "def __private_Temperature_rise","def public_Temperature_rise"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **MN** using the Python language, which has an instance attribute **nums**, a private function **private_Maximum_number**, and a public function **public_Maximum_number**. Then, implement the following problem in the private function **private_Maximum_number**. Finally, call the private function **private_Maximum_number** in the public function **public_Maximum_number** to return the result.
Problem: Given an integer array **nums**, you can perform some operations on it. In each operation, choose any nums[i], delete it and get the points of nums[i]. After that, you must delete all elements equal to nums[i]-1 and nums[i]+1. Initially, you have 0 points. Return the maximum points that can be obtained through these operations.

assert candidate([3,4,2])==6
assert candidate([2,2,3,3,3,4])==9

def test_run(content1):
    return MN(content1).public_Maximum_number()

assert candidate([["class MN", "def __init__(self, nums)", "def _private_Maximum_number","def public_Maximum_number"], ["class MN", "def __init__(self, nums)", "def __private_Maximum_number","def public_Maximum_number"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **NN** using the Python language, which has instance attributes **times**, **n** and **k**, a private function **private_network_node**, and a public function **public_network_node**. Then, implement the following problem in the private function **private_network_node**. Finally, call the private function **private_network_node** in the public function **public_network_node** to return the result.
Problem: There are **n** network nodes, labeled from 1 to n. Given a list **times**, which represents the transmission time of signals passing through directed edges. times[i] = (u_i, v_i, w_i), where **u_i** is the source node, **v_i** is the target node, and **w_i** is the time it takes for a signal to pass from the source node to the target node. Now, a signal is sent from a certain node **K**, how long will it take for all nodes to receive the signal? If not all nodes can receive the signal, return -1.

def test_run(content1,content2,content3):
    return NN(content1,content2,content3).public_network_node()

assert candidate([["class NN", "def __init__(self, times, n, k)", "def _private_network_node","def public_network_node"], ["class NN", "def __init__(self, times, n, k)", "def __private_network_node","def public_network_node"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **INA** class using Python language, which has an instance attribute **target**, a private function **private_Infinite_number_axis**, and a public function **public_Infinite_number_axis**. Then, implement the following problem in the private function **private_Infinite_number_axis**. Finally, call the private function **private_Infinite_number_axis** in the public function **public_Infinite_number_axis** to return the result.
Problem: On an infinitely long number axis, you stand at position 0, and the endpoint is at the **target** position. You can make a certain number of moves **numMoves**: each time you can choose to move left or right, and for the i-th move (from i==1 to i==numMoves), you walk **i** steps in the chosen direction. Given an integer **target**, return the minimum number of moves required to reach the target (i.e., the minimum **numMoves**).

assert candidate(2)==3
assert candidate(3)==2

def test_run(content1):
    return INA(content1).public_Infinite_number_axis()

assert candidate([["class INA", "def __init__(self, target)", "def _private_Infinite_number_axis","def public_Infinite_number_axis"], ["class INA", "def __init__(self, target)", "def __private_Infinite_number_axis","def public_Infinite_number_axis"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **IC** class using Python language, which has an instance attribute **intervals**, a private function **private_Include_Collection**, and a public function **public_Include_Collection**. Then, implement the following problem in the private function **private_Include_Collection**. Finally, call the private function **private_Include_Collection** in the public function **public_Include_Collection** to return the result.
Problem: Given a two-dimensional integer array **intervals**, where intervals[i] = [start_i, end_i] represents all integers from **start_i** to **end_i**, including **start_i** and **end_i**. The inclusion set is an array named **nums**, and it satisfies that each interval in **intervals** has at least two integers in **nums**. Return the possible minimum size of the inclusion set.

def test_run(content1):
    return IC(content1).public_Include_Collection()

assert candidate([["class IC", "def __init__(self, intervals)", "def _private_Include_Collection","def public_Include_Collection"], ["class IC", "def __init__(self, intervals)", "def __private_Include_Collection","def public_Include_Collection"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **SP** using Python language, which has an instance attribute **s**, a private function **private_String_partitioning**, and a public function **public_String_partitioning**. Then, implement the following problem in the private function **private_String_partitioning**. Finally, call the private function **private_String_partitioning** in the public function **public_String_partitioning** to return the result.
Problem: Given a string **s**, partition this string into as many segments as possible, with the same letter appearing at most once in a segment, and return a list representing the length of each string segment.
The partition result needs to satisfy: concatenating all partition results in order, the string obtained is still **s**.

def test_run(content1):
    return SP(content1).public_String_partitioning()

assert candidate([["class SP", "def __init__(self, s)", "def _private_String_partitioning","def public_String_partitioning"], ["class SP", "def __init__(self, s)", "def __private_String_partitioning","def public_String_partitioning"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **PS** class using Python language, which has instance attributes **n** and **mines**, a private function **private_Plus_sign**, and a public function **public_Plus_sign**. Then, implement the following problem in the private function **private_Plus_sign**. Finally, call the private function **private_Plus_sign** in the public function **public_Plus_sign** to return the result.
Problem: In an n x n matrix **grid**, every element is 1 except for the elements given as 0 in the array **mines**. mines[i]=[x_i,y_i] indicates grid[x_i][y_i]==0. Return the order of the largest axis-aligned plus sign of 1s in **grid**. If no plus sign is found, return 0.

assert candidate(5,[[4, 2]])==2
assert candidate(1,[[0, 0]])==0

def test_run(content1,content2):
    return PS(content1,content2).public_Plus_sign()

assert candidate([["class PS", "def __init__(self, n, mines)", "def _private_Plus_sign","def public_Plus_sign"], ["class PS", "def __init__(self, n, mines)", "def __private_Plus_sign","def public_Plus_sign"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **ES** class using Python language, which has an instance attribute **row**, a private function **private_Exchange_seats**, and a public function **public_Exchange_seats**. Then, implement the following problem in the private function **private_Exchange_seats**. Finally, call the private function **private_Exchange_seats** in the public function **public_Exchange_seats** to return the result.
Problem: There are **n** pairs of couples sitting on **2n** seats arranged in a row, and they want to hold each other's hands. People and seats are represented by an integer array **row**, where row[i] is the ID of the person sitting in the i-th seat. The couples are numbered in order, the first pair is (0, 1), the second pair is (2, 3), and so on, the last pair is (2n-2, 2n-1). Return the minimum number of seat swaps so that each couple can sit together side by side. You can choose any two people for each swap, and have them stand up and exchange seats.

assert candidate([0,2,1,3])==1
assert candidate([3,2,0,1])==0

def test_run(content1):
    return ES(content1).public_Exchange_seats()

assert candidate([["class ES", "def __init__(self, row)", "def _private_Exchange_seats","def public_Exchange_seats"], ["class ES", "def __init__(self, row)", "def __private_Exchange_seats","def public_Exchange_seats"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a **JM** class using Python language, which has an instance attribute **matrix**, a private function **private_judgment_matrix**, and a public function **public_judgment_matrix**. Then, in the private function **private_judgment_matrix**, determine whether a given m x n **matrix** is a Toeplitz matrix. If it is, return True; otherwise, return False. Finally, call the private function **private_judgment_matrix** in the public function **public_judgment_matrix** to return the result.

def test_run(content1):
    return JM(content1).public_judgment_matrix()

assert candidate([["class JM", "def __init__(self, matrix)", "def _private_judgment_matrix","def public_judgment_matrix"], ["class JM", "def __init__(self, matrix)", "def _private_judgment_matrix","def public_judgment_matrix"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
First, design an **RL** class using the Python language, which has an instance attribute **s**, a private function **private_Rearrange_letters**, and a public function **public_Rearrange_letters**. Then, implement the following problem in the private function **private_Rearrange_letters**. Finally, call the private function **private_Rearrange_letters** in the public function **public_Rearrange_letters** to return the result.
Problem: Given a string **s**, check if it is possible to rearrange its letters so that no two adjacent characters are the same. Return any possible rearrangement of **s**. If it is not feasible, return an empty string "".

assert candidate("aab")=="aba"
assert candidate("aaab")==""

def test_run(content1):
    return RL(content1).public_Rearrange_letters()

assert candidate([["class RL", "def __init__(self, s)", "def _private_Rearrange_letters","def public_Rearrange_letters"], ["class RL", "def __init__(self, s)", "def _private_Rearrange_letters","def public_Rearrange_letters"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design an **MNB** class using the Python language, which has an instance attribute **arr**, a private function **private_Maximum_number_blocks**, and a public function **public_Maximum_number_blocks**. Then, implement the following problem in the private function **private_Maximum_number_blocks**. Finally, call the private function **private_Maximum_number_blocks** in the public function **public_Maximum_number_blocks** to return the result.
Problem: Given an integer array **arr**, split **arr** into several chunks, and sort these chunks separately. Then connect them together so that the result of the connection is the same as the original array sorted in ascending order. Return the maximum number of chunks that the array can be divided into.

def test_run(content1):
    return MNB(content1).public_Maximum_number_blocks()

assert candidate([["class MNB", "def __init__(self, arr)", "def _private_Maximum_number_blocks","def public_Maximum_number_blocks"], ["class MNB", "def __init__(self, arr)", "def __private_Maximum_number_blocks","def public_Maximum_number_blocks"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class named **SS** using Python language, which includes an instance attribute **arr**, a private function **private_Sort_separately**, and a public function **public_Sort_separately**. Then, implement the following problem in the private function **private_Sort_separately**. Finally, call the private function **private_Sort_separately** in the public function **public_Sort_separately** and return the result.
Problem: Given an integer array **arr** of length **n**, which represents the permutation of integers in the range [0, n - 1], divide **arr** into several blocks (i.e., partitions) and sort each block separately. After connecting them, make the result of the connection the same as the original array sorted in ascending order, and return the maximum number of blocks that the array can be divided into.

def test_run(content1):
    return SS(content1).public_Sort_separately()

assert candidate([["class SS", "def __init__(self, arr)", "def _private_Sort_separately","def public_Sort_separately"], ["class SS", "def __init__(self, arr)", "def __private_Sort_separately","def public_Sort_separately"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **SPB** using Python language, which has an instance attribute **board**, a private function **private_Solving_puzzle_board**, and a public function **public_Solving_puzzle_board**. Then, implement the following problem in the private function **private_Solving_puzzle_board**. Finally, call the private function **private_Solving_puzzle_board** in the public function **public_Solving_puzzle_board** to return the result.
Problem: On a 2 x 3 **board**, there are 5 tiles represented by numbers 1~5, and an empty space represented by 0. A move is defined as swapping 0 with an adjacent number (up, down, left, or right). The puzzle is solved when the **board** result is [[1,2,3],[4,5,0]]. Given an initial state of the puzzle **board**, return the minimum number of moves to solve the puzzle. If the puzzle cannot be solved, return -1.

def test_run(content1):
    return SPB(content1).public_Solving_puzzle_board()

assert candidate([["class SPB", "def __init__(self, board)", "def _private_Solving_puzzle_board","def public_Solving_puzzle_board"], ["class SPB", "def __init__(self, board)", "def __private_Solving_puzzle_board","def public_Solving_puzzle_board"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **LI** using Python language, which has an instance attribute **nums**, a private function **private_Local_inversion**, and a public function **public_Local_inversion**. Then, implement the following problem in the private function **private_Local_inversion**. Finally, call the private function **private_Local_inversion** in the public function **public_Local_inversion** and return the result.
Problem: Given an integer array **nums** of length **n**, representing a permutation composed of all integers within the range [0, n - 1]. The number of global inversions is equal to the number of different index pairs (i, j) that satisfy the following conditions: 1. 0 <= i < j < n; 2. nums[i] > nums[j]; The number of local inversions is equal to the number of indexes **i** that satisfy the following conditions: 1. 0 <= i < n - 1; 2. nums[i] > nums[i + 1]; When the number of global inversions in the array **nums** equals the number of local inversions, return True; otherwise, return False.

assert candidate([1,0,2])==True
assert candidate([1,2,0])==False

def test_run(content1):
    return LI(content1).public_Local_inversion()

assert candidate([["class LI", "def __init__(self, nums)", "def _private_Local_inversion","def public_Local_inversion"], ["class LI", "def __init__(self, nums)", "def __private_Local_inversion","def public_Local_inversion"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **GS** using the Python language, which has an instance attribute **grid**, a private function **private_Grid_swimming**, and a public function **public_Grid_swimming**. Then, implement the following problem in the private function **private_Grid_swimming**. Finally, call the private function **private_Grid_swimming** in the public function **public_Grid_swimming** to return the result.
Problem: In an n x n integer matrix **grid**, each cell's value grid[i][j] represents the platform height at position (i, j). When it starts to rain, the water level in the pool is **t** at time **t**. You can swim to any adjacent platform, but the prerequisite is that the water level must submerge these two platforms at the same time. Assuming you can move an infinite distance instantly, that is, it is assumed that swimming within the grid does not consume time. Of course, you must stay within the coordinate grid while swimming. You start from the top-left platform (0,0) of the coordinate grid, and return the minimum time required to reach the bottom-right platform (n-1, n-1) of the coordinate grid.

def test_run(content1):
    return GS(content1).public_Grid_swimming()

assert candidate([["class GS", "def __init__(self, grid)", "def _private_Grid_swimming","def public_Grid_swimming"], ["class GS", "def __init__(self, grid)", "def __private_Grid_swimming","def public_Grid_swimming"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **GNR** class using Python language, which has instance attributes **n** and **k**, a private function **private_Given_number_rows**, and a public function **public_Given_number_rows**. Then, implement the following problem in the private function **private_Given_number_rows**. Finally, call the private function **private_Given_number_rows** in the public function **public_Given_number_rows** to return the result.
Problem: We have constructed a table with **n** rows (indexed from 1). Initially, we write a 0 on the first row. For each subsequent row, we replace 0 with 01 and 1 with 10 in the previous row. Given the row number **n** and the ordinal **k**, return the k-th character (k indexed from 1) in the n-th row.

assert candidate(1,1)==0
assert candidate(2,1)==0
assert candidate(2,2)==1

def test_run(content1,content2):
    return GNR(content1,content2).public_Given_number_rows()

assert candidate([["class GNR", "def __init__(self, n, k)", "def _private_Given_number_rows","def public_Given_number_rows"], ["class GNR", "def __init__(self, n, k)", "def __private_Given_number_rows","def public_Given_number_rows"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **CN** class using Python language, which has instance attributes **sx**, **sy**, **tx**, and **ty**, a private function **private_Convert_numbers**, and a public function **public_Convert_numbers**. Then, implement the following problem in the private function **private_Convert_numbers**. Finally, call the private function **private_Convert_numbers** in the public function **public_Convert_numbers** to return the result.
Problem: Given four integers **sx**, **sy**, **tx**, and **ty**. If it is possible to reach the endpoint (tx, ty) from the starting point (sx, sy) through a series of transformations, return True, otherwise return False. From point (x, y), it can be transformed to either (x, x+y) or (x+y, y).

assert candidate(1,1,3,5)==True
assert candidate(1,1,2,2)==False
assert candidate(1,1,1,1)==True

def test_run(content1,content2,content3,content4):
    return CN(content1,content2,content3,content4).public_Convert_numbers()

assert candidate([["class CN", "def __init__(self, sx, sy, tx, ty)", "def _private_Convert_numbers","def public_Convert_numbers"], ["class CN", "def __init__(self, sx, sy, tx, ty)", "def __private_Convert_numbers","def public_Convert_numbers"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
First, design a class **FR** using the Python language, which has an instance attribute **answers**, a private function **private_Forest_Rabbit**, and a public function **public_Forest_Rabbit**. Then, implement the following problem in the private function **private_Forest_Rabbit**. Finally, call the private function **private_Forest_Rabbit** in the public function **public_Forest_Rabbit** to return the result.
Problem: There is an unknown number of rabbits in the forest. Ask some of the rabbits **how many other rabbits have the same color as you (referring to the rabbit being asked)**, and collect the answers into an integer array **answers**, where answers[i] is the answer of the i-th rabbit.
Given the array **answers**, return the minimum number of rabbits in the forest.

assert candidate([1,1,2])==5
assert candidate([10,10,10])==11

def test_run(content1):
    return FR(content1).public_Forest_Rabbit()

assert candidate([["class FR", "def __init__(self, answers)", "def _private_Forest_Rabbit","def public_Forest_Rabbit"], ["class FR", "def __init__(self, answers)", "def __private_Forest_Rabbit","def public_Forest_Rabbit"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **NM** using the Python language, which has an instance attribute **board**, a private function **private_Network_Matrix**, and a public function **public_Network_Matrix**. Then, implement the following problem in the private function **private_Network_Matrix**. Finally, call the private function **private_Network_Matrix** in the public function **public_Network_Matrix** to return the result.
Problem: A n x n two-dimensional network **board** is composed only of 0 and 1. In each move, you can freely swap the positions of two columns or two rows. Return the minimum number of moves required to transform this matrix into a **chessboard**. If there is no feasible transformation, output -1.

def test_run(content1):
    return NM(content1).public_Network_Matrix()

assert candidate([["class NM", "def __init__(self, board)", "def _private_Network_Matrix","def public_Network_Matrix"], ["class NM", "def __init__(self, board)", "def __private_Network_Matrix","def public_Network_Matrix"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **CC** using Python language, which has an instance attribute **s**, a private function **private_Change_Case**, and a public function **public_Change_Case**. Then, implement the following problem in the private function **private_Change_Case**. Finally, call the private function **private_Change_Case** in the public function **public_Change_Case** to return the result.
Problem: Given a string **s**, by changing the case of each letter in the string **s**, we can obtain a new string. Return the set of all possible strings that can be obtained.

def test_run(content1):
    return CC(content1).public_Change_Case()

assert candidate([["class CC", "def __init__(self, s)", "def _private_Change_Case","def public_Change_Case"], ["class CC", "def __init__(self, s)", "def __private_Change_Case","def public_Change_Case"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **MS** using the Python language, which has instance attributes **arr** and **k**, a private function **private_Minimum_score**, and a public function **public_Minimum_score**. Then, implement the following problem in the private function **private_Minimum_score**. Finally, call the private function **private_Minimum_score** in the public function **public_Minimum_score** to return the result.
Problem: Given an array **arr** sorted in ascending order and an integer **k**. The array **arr** is composed of 1 and several prime numbers, and all integers in it are different from each other. For each pair of **i** and **j** satisfying 0 <= i < j < arr.length, a score can be obtained as arr[i]/arr[j]. So, what is the k-th smallest score?

def test_run(content1,content2):
    return MS(content1,content2).public_Minimum_score()

assert candidate([["class MS", "def __init__(self, arr, k)", "def _private_Minimum_score","def public_Minimum_score"], ["class MS", "def __init__(self, arr, k)", "def __private_Minimum_score","def public_Minimum_score"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a **PM** class using Python language, which has instance attributes **order** and **s**, a private function **private_Permutation_matching**, and a public function **public_Permutation_matching**. Then, implement the following problem in the private function **private_Permutation_matching**. Finally, call the private function **private_Permutation_matching** in the public function **public_Permutation_matching** to return the result.
Problem: Given two strings, **order** and **s**, all the letters in **order** are unique and have been sorted in some custom order. Permute the characters of **s** to match the sorted **order**. More specifically, if character **x** appears before character **y** in **order**, then in the permuted string, **x** should also appear before **y**. Return any permutation of **s** that satisfies this property.

def test_run(content1,content2):
    return PM(content1,content2).public_Permutation_matching()

assert candidate([["class PM", "def __init__(self, order, s)", "def _private_Permutation_matching","def public_Permutation_matching"], ["class PM", "def __init__(self, order, s)", "def _private_Permutation_matching","def public_Permutation_matching"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question: Firstly, design a class **NW** using the Python language, which has instance attributes **s** and **words**, a private function **private_Number_words**, and a public function **public_Number_words**. Then, in the private function **private_Number_words**, return the number of words in words[i] that are subsequences of the given string **s** based on the given string **s** and the number of strings **words**. Finally, in the public function **public_Number_words**, call the private function **private_Number_words** to return the result.

def test_run(content1,content2):
    return NW(content1,content2).public_Number_words()

assert candidate([["class NW", "def __init__(self, s, words)", "def _private_Number_words","def public_Number_words"], ["class NW", "def __init__(self, s, words)", "def __private_Number_words","def public_Number_words"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False


Question:
Firstly, design a class **NI** using Python language, which has an instance attribute **k**, a private function **private_nonnegative_integer**, and a public function **public_nonnegative_integer**. Then, implement the following problem in the private function **private_nonnegative_integer**. Finally, call the private function **private_nonnegative_integer** in the public function **public_nonnegative_integer** to return the result.
Problem: f(x) is the number of zeros at the end of x!, recall that x! = 1*2*3*...*x, and 0! = 1. Given **k**, find the number of non-negative integers **x** that can satisfy f(x) = k.

assert candidate(0)==5
assert candidate(5)==0
assert candidate(3)==5

def test_run(content1):
    return NI(content1).public_nonnegative_integer()

assert candidate([["class NI", "def __init__(self, k)", "def _private_nonnegative_integer","def public_nonnegative_integer"], ["class NI", "def __init__(self, k)", "def __private_nonnegative_integer","def public_nonnegative_integer"]]) == True

def matching_function(content):
    def run_match(text):
        for task in text:
            if task not in str_content:
                return False
        return True
    len_cont = len(content)
    if len_cont==1 and run_match(content[0]) == True:
        return True
    elif (len_cont==2 and run_match(content[0]) == True) or (len_cont==2 and run_match(content[1]) == True):
        return True
    else:
        return False