Question:
Firstly, design a class named **ROD** using Python language, which has instance attributes **nums1**, **nums2**, and **k**, a private function **private_relative_order**, and a public function **public_relative_order**. Then, implement the following problem in the private function **private_relative_order**. Finally, call the private function **private_relative_order** in the public function **public_relative_order** to return the result.
Problem: Select **k** (k<=m+n) numbers from two given arrays of length **m** and **n** respectively to form a new number. The numbers taken from the same array should maintain their relative order in the original array. Return an array of length **k** representing the maximum number.

def test_run(content1,content2,content3):
    return ROD(content1,content2,content3).public_relative_order()

assert candidate([['class ROD', 'def _private_relative_order', 'def public_relative_order'], ['class ROD', 'def __private_relative_order', 'def public_relative_order']]) == 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 **TAU** class using Python language, which has instance attributes **coins** and **amount**, a private function **private_Total_amount**, and a public function **public_Total_amount**. Then, in the private function **private_Total_amount**, provide an integer array **coins** representing different denominations of coins and an integer **amount** representing the total amount, and return the minimum number of coins required to make up the total amount. Finally, call the private function **private_Total_amount** in the public function **public_Total_amount** to return the result.

assert candidate([1, 2, 5],11)==3
assert candidate([2],3)==-1
assert candidate([1],0)==0

def test_run(content1,content2):
    return TAU(content1,content2).public_Total_amount()

assert candidate([['class TAU', 'def _private_Total_amount', 'def public_Total_amount'], ['class TAU', 'def __private_Total_amount', 'def public_Total_amount']]) == 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 **ROR** class using Python language, which has an instance attribute **nums**, a private function **private_Rearranged_order**, and a public function **public_Rearranged_order**. Then, in the private function **private_Rearranged_order**, rearrange the integer array **nums** into the order of nums[0]<nums[1]>nums[2]<nums[3]... Finally, call the private function **private_Rearranged_order** in the public function **public_Rearranged_order** to return the result.

def test_run(content1):
    return ROR(content1).public_Rearranged_order()

assert candidate([['class ROR', 'def _private_Rearranged_order', 'def public_Rearranged_order'], ['class ROR', 'def __private_Rearranged_order', 'def public_Rearranged_order']]) == 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 **IAN** class using the Python language, which has instance attributes **nums**, **lower**, and **upper**, a private function **private_Interval_and**, and a public function **public_Interval_and**. Then, in the private function **private_Interval_and**, return the count of interval sums within the range [lower, upper] (inclusive of **lower** and **upper**) from the integer array **nums**. Finally, in the public function **public_Interval_and**, call the private function **private_Interval_and** to return the result.

def test_run(content1,content2,content3):
    return IAN(content1,content2,content3).public_Interval_and()

assert candidate([['class IAN', 'def _private_Interval_and', 'def public_Interval_and'], ['class IAN', 'def __private_Interval_and', 'def public_Interval_and']]) == 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 **LIM** using Python language, which has an instance attribute **matrix**, a private function **private_Longest_Incremental**, and a public function **public_Longest_Incremental**. Then, in the private function **private_Longest_Incremental**, return the length of the longest incremental path in the given m x n integer **matrix**. Finally, call the private function **private_Longest_Incremental** in the public function **public_Longest_Incremental** to return the result.

def test_run(content1):
    return LIM(content1).public_Longest_Incremental()

assert candidate([['class LIM', 'def _private_Longest_Incremental', 'def public_Longest_Incremental'], ['class LIM', 'def __private_Longest_Incremental', 'def public_Longest_Incremental']]) == 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:
Question: Given a sorted array of positive integers **nums**, and a positive integer **n**. Select any number from the interval [1, n] to supplement to **nums**, so that any number in the interval [1, n] can be represented by the sum of several numbers in **nums**. Please return the minimum number of numbers that need to be supplemented to meet the above requirements.
Please use Python language to design an **NDT** class first, with instance attributes **nums** and **n**, a private function **private_Number_digits**, and a public function **public_Number_digits**; then return the minimum number of numbers that need to be supplemented in the private function **private_Number_digits**; finally, call the private function **private_Number_digits** in the public function **public_Number_digits** to return the result.

assert candidate([1,3],6)==1
assert candidate([1,5,10],20)==2
assert candidate([1,2,2],5)==0

def test_run(content1,content2):
    return NDT(content1,content2).public_Number_digits()

assert candidate([['class NDT', 'def _private_Number_digits', 'def public_Number_digits'], ['class NDT', 'def __private_Number_digits', 'def public_Number_digits']]) == 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:
Question: Given an integer array **nums**, determine whether there exists a length-3 increasing subsequence in this array. If there exists such a triplet index (i, j, k) and satisfies i < j < k, such that nums[i] < nums[j] < nums[k], return True; otherwise, return False.
Please use Python language to first design a **LSU** class, with instance attribute **nums**, private function **private_Longest_subsequence** and public function **public_Longest_subsequence**; then in the private function **private_Longest_subsequence**, determine whether there exists a length-3 increasing subsequence in the integer array **nums**, if it exists, return True; otherwise, return False; finally, in the public function **public_Longest_subsequence**, call the private function **private_Longest_subsequence** to return the result.

assert candidate([1,2,3,4,5])==True
assert candidate([5,4,3,2,1])==False
assert candidate([2,1,5,0,4,6])==True

def test_run(content1):
    return LSU(content1).public_Longest_subsequence()

assert candidate([['class LSU', 'def _private_Longest_subsequence', 'def public_Longest_subsequence'], ['class LSU', 'def __private_Longest_subsequence', 'def public_Longest_subsequence']]) == 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 **CVA** using the Python language, which has an instance attribute **distance**, a private function **private_Counterclockwise_variation**, and a public function **public_Counterclockwise_variation**. Then, implement the following problem in the private function **private_Counterclockwise_variation**. Finally, call the private function **private_Counterclockwise_variation** in the public function **public_Counterclockwise_variation** to return the result.

Problem: Given an integer array **distance**. Starting from the point (0,0) on the X-Y plane, each time a move is made with a counterclockwise change in direction, determine whether the path crossed. If it intersects, return True; otherwise, return False.

assert candidate([2,1,1,2])==True
assert candidate([1,2,3,4])==False
assert candidate([1,1,1,1])==True

def test_run(content1):
    return CVA(content1).public_Counterclockwise_variation()

assert candidate([['class CVA', 'def _private_Counterclockwise_variation', 'def public_Counterclockwise_variation'], ['class CVA', 'def __private_Counterclockwise_variation', 'def public_Counterclockwise_variation']]) == 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 **USI** class using Python language, which has an instance attribute **words**, a private function **private_Unique_String**, and a public function **public_Unique_String**. Then, in the private function **private_Unique_String**, return an array of strings from **words** that satisfy the palindrome pair condition, which is composed of unique strings in a 0-indexed array. Finally, call the private function **private_Unique_String** in the public function **public_Unique_String** to return the result.

def test_run(content1):
    return USI(content1).public_Unique_String()

assert candidate([['class USI', 'def _private_Unique_String', 'def public_Unique_String'], ['class USI', 'def __private_Unique_String', 'def public_Unique_String']]) == 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 **PMM** class using Python language, which has an instance attribute **n**, a private function **private_Product_maximization**, and a public function **public_Product_maximization**. Then, in the private function **private_Product_maximization**, decompose the positive integer **n** into the sum of **k** positive integers (k>=2), and maximize the product of these integers, returning the maximum product that can be obtained. Finally, call the private function **private_Product_maximization** in the public function **public_Product_maximization** to return the result.

assert candidate(2)==1
assert candidate(10)==36

def test_run(content1):
    return PMM(content1).public_Product_maximization()

assert candidate([['class PMM', 'def _private_Product_maximization', 'def public_Product_maximization'], ['class PMM', 'def __private_Product_maximization', 'def public_Product_maximization']]) == 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 **RSI** class using Python language, which has an instance attribute **s**, a private function **private_Result_String**, and a public function **public_Result_String**. Then, in the private function **private_Result_String**, reverse all the vowel letters in the string **s** and return the result string. Finally, in the public function **public_Result_String**, call the private function **private_Result_String** to return the result.

def test_run(content1):
    return RSI(content1).public_Result_String()

assert candidate([['class RSI', 'def _private_Result_String', 'def public_Result_String'], ['class RSI', 'def __private_Result_String', 'def public_Result_String']]) == 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 **AOER** class using Python language, which has instance attributes **nums** and **k**, a private function **private_Any_order**, and a public function **public_Any_order**. Then, in the private function **private_Any_order**, return the top k most frequent elements in the integer array **nums**. Finally, in the public function **public_Any_order**, call the private function **private_Any_order** to return the result.

def test_run(content1,content2):
    return AOER(content1,content2).public_Any_order()

assert candidate([['class AOER', 'def _private_Any_order', 'def public_Any_order'], ['class AOER', 'def __private_Any_order', 'def public_Any_order']]) == 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 **TIE** class using the Python language, which has instance attributes **nums1** and **nums2**, a private function **private_Their_intersection**, and a public function **public_Their_intersection**. Then, in the private function **private_Their_intersection**, return the intersection between the arrays **nums1** and **nums2**. Finally, in the public function **public_Their_intersection**, call the private function **private_Their_intersection** to return the result.

def test_run(content1,content2):
    return TIE(content1,content2).public_Their_intersection()

assert candidate([['class TIE', 'def _private_Their_intersection', 'def public_Their_intersection'], ['class TIE', 'def __private_Their_intersection', 'def public_Their_intersection']]) == 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:
Question: Given two integer arrays **nums1** and **nums2**, please return the intersection of the two arrays in the form of an array. The number of times each element appears in the return result should be consistent with the number of times the element appears in both arrays (if the number of appearances is inconsistent, consider taking the smaller value).
Using Python language, first design an **ORU** class, which has instance attributes **nums1** and **nums2**, a private function **private_Order_results**, and a public function **public_Order_results**. Then, implement the above problem in the private function **private_Order_results**. Finally, call the private function **private_Order_results** in the public function **public_Order_results** to return the result.

def test_run(content1,content2):
    return ORU(content1,content2).public_Order_results()

assert candidate([['class ORU', 'def _private_Order_results', 'def public_Order_results'], ['class ORU', 'def __private_Order_results', 'def public_Order_results']]) == 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 **RDL** class using the Python language, which has an instance attribute **envelopes**, a private function **private_Russian_dolls**, and a public function **public_Russian_dolls**. Then, implement the following problem in the private function **private_Russian_dolls**. Finally, call the private function **private_Russian_dolls** in the public function **public_Russian_dolls** to return the result.
Problem: Given a two-dimensional integer array envelopes[i]=[w_i,h_i] representing the width and height of the i-th envelope, return the maximum number of envelopes that can form a set of **Russian nesting dolls**.

def test_run(content1):
    return RDL(content1).public_Russian_dolls()

assert candidate([['class RDL', 'def _private_Russian_dolls', 'def public_Russian_dolls'], ['class RDL', 'def __private_Russian_dolls', 'def public_Russian_dolls']]) == 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 **NDE** class using Python language, which has an instance attribute **n**, a private function **private_Numbers_different**, and a public function **public_Numbers_different**. Then, implement the following problem in the private function **private_Numbers_different**. Finally, call the private function **private_Numbers_different** in the public function **public_Numbers_different** to return the result.
Problem: Given an integer **n**, you need to return the count of numbers **x** where all digits are different, and 0<=x<10^n.

assert candidate(2)==91
assert candidate(0)==1

def test_run(content1):
    return NDE(content1).public_Numbers_different()

assert candidate([['class NDE', 'def _private_Numbers_different', 'def public_Numbers_different'], ['class NDE', 'def __private_Numbers_different', 'def public_Numbers_different']]) == 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 **MVL** using Python language, which has instance attributes **matrix** and **k**, a private function **private_Maximum_value**, and a public function **public_Maximum_value**. Then, in the private function **private_Maximum_value**, return the maximum sum of values within the rectangular area of the m x n **matrix** that does not exceed **k**. Finally, in the public function **public_Maximum_value**, call the private function **private_Maximum_value** to return the result.

def test_run(content1,content2):
    return MVL(content1,content2).public_Maximum_value()

assert candidate([['class MVL', 'def _private_Maximum_value', 'def public_Maximum_value'], ['class MVL', 'def __private_Maximum_value', 'def public_Maximum_value']]) == 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 **DSS** class using Python language, which has an instance attribute **nums**, a private function **private_Divisible_subset**, and a public function **public_Divisible_subset**. Then, in the private function **private_Divisible_subset**, given a set **nums** composed of non-repetitive positive integers, return the largest divisible subset **answer**. Finally, in the public function **public_Divisible_subset**, call the private function **private_Divisible_subset** to return the result.

def test_run(content1):
    return DSS(content1).public_Divisible_subset()

assert candidate([['class DSS', 'def _private_Divisible_subset', 'def public_Divisible_subset'], ['class DSS', 'def __private_Divisible_subset', 'def public_Divisible_subset']]) == 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:
Question: Calculate **a^b mod 1337**, where **a** is a positive integer and **b** is a very large positive integer given in the form of an array.
Use Python language to first design a **PIT** class, with instance attributes **a** and **b**, a private function **private_positive_integer**, and a public function **public_positive_integer**. Then, calculate the above problem in the private function **private_positive_integer**. Finally, call the private function **private_positive_integer** in the public function **public_positive_integer** to return the result.

def test_run(content1,content2):
    return PIT(content1,content2).public_positive_integer()

assert candidate([['class PIT', 'def _private_positive_integer', 'def public_positive_integer'], ['class PIT', 'def __private_positive_integer', 'def public_positive_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


Question:
Question: Given two integer arrays **nums1** and **nums2** sorted in non-decreasing order, and an integer **k**. Define a pair of values (u, v), where the first element comes from **nums1** and the second element comes from **nums2**. Please find the pairs with the smallest sum (u1, v1), (u2, v2)...(uk, vk) for the first **k** pairs.
Please use Python to first design a **DAG** class, with instance attributes **nums1**, **nums2** and **k**, a private function **private_decreasing_arrangement**, and a public function **public_decreasing_arrangement**. Then, implement the above problem in the private function **private_decreasing_arrangement**. Finally, call the private function **private_decreasing_arrangement** in the public function **public_decreasing_arrangement** to return the result.

def test_run(content1,content2,content3):
    return DAG(content1,content2,content3).public_decreasing_arrangement()

assert candidate([['class DAG', 'def _private_decreasing_arrangement', 'def public_decreasing_arrangement'], ['class DAG', 'def __private_decreasing_arrangement', 'def public_decreasing_arrangement']]) == 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 **NBGG** class using the Python language, which has an instance attribute **n**, a private function **private_Guessing_Game**, and a public function **public_Guessing_Game**. Then, call the private function **private_ugly_number** in the public function **public_Guessing_Game** to return the result. The following problem is implemented in the private function **private_Guessing_Game**.
Problem: Choose a number between 1 and **n** for a guessing game. If you guess the correct number, you win the game; otherwise, you will be told that the current number I chose is larger or smaller, and you continue to guess. When you guess the number **x** and get it wrong, you need to pay cash equal to **x**. If you run out of money, you lose the game. Given a specific number **n**, return the minimum amount of cash that can ensure victory.

assert candidate(10)==16
assert candidate(1)==0
assert candidate(2)==1

def test_run(content1):
    return NBGG(content1).public_Guessing_Game()

assert candidate([['class NBGG', 'def _private_Guessing_Game', 'def public_Guessing_Game'], ['class NBGG', 'def __private_Guessing_Game', 'def public_Guessing_Game']]) == 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 **LSS** class using Python language, which has an instance attribute **nums**, a private function **private_Longest_subsequence**, and a public function **public_Longest_subsequence**. Then, in the private function **private_Longest_subsequence**, return the length of the longest subsequence in the integer array **nums** that serves as a wiggle sequence. Finally, in the public function **public_Longest_subsequence**, call the private function **private_Longest_subsequence** to return the result.

def test_run(content1):
    return LSS(content1).public_Longest_subsequence()

assert candidate([['class LSS', 'def _private_Longest_subsequence', 'def public_Longest_subsequence'], ['class LSS', 'def __private_Longest_subsequence', 'def public_Longest_subsequence']]) == 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:
Question: Given an array **nums** composed of distinct integers and a target integer **target**, please find and return the number of combinations in **nums** that sum up to **target**.
Please use Python language to first design an **EAC** class, with instance attributes **nums** and **target**, a private function **private_element_association**, and a public function **public_element_association**. Then, implement the above problem in the private function **private_element_association**. Finally, call the private function **private_element_association** in the public function **public_element_association** to return the result.

assert candidate([1,2,3],4)==7
assert candidate([9],3)==0

def test_run(content1,content2):
    return EAC(content1,content2).public_element_association()

assert candidate([['class EAC', 'def _private_element_association', 'def public_element_association'], ['class EAC', 'def __private_element_association', 'def public_element_association']]) == 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:
Question: Given an n x n matrix **matrix**, where each row and column elements are sorted in ascending order, find the k-th smallest element in the matrix.
Please use Python to first design a **SAS** class, with instance attributes **matrix** and **k**, a private function **private_Sort_ascending**, and a public function **public_Sort_ascending**. Then, implement the above problem in the private function **private_Sort_ascending**. Finally, call the private function **private_Sort_ascending** in the public function **public_Sort_ascending** to return the result.

def test_run(content1,content2):
    return SAS(content1,content2).public_Sort_ascending()

assert candidate([['class SAS', 'def _private_Sort_ascending', 'def public_Sort_ascending'], ['class SAS', 'def __private_Sort_ascending', 'def public_Sort_ascending']]) == 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:
Question: Given a string **s** representing a **NestedInteger** of integers, implement a parser to parse it and return the parsed result as **NestedInteger**.
Please use Python to first design an **INT** class, which has an instance attribute **s**, a private function **private_Integer_nesting**, and a public function **public_Integer_nesting**. Then, implement the above problem in the private function **private_Integer_nesting**. Finally, call the private function **private_Integer_nesting** in the public function **public_Integer_nesting** to return the result.

def test_run(content1):
    return INT(content1).public_Integer_nesting()

assert candidate([['class INT', 'def _private_Integer_nesting', 'def public_Integer_nesting'], ['class INT', 'def _private_Integer_nesting', 'def public_Integer_nesting']]) == 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 **DOD** using Python language, which has an instance attribute **n**, a private function **private_Dictionary_order**, and a public function **public_Dictionary_order**. Then, in the private function **private_Dictionary_order**, return all integers within the range [1, n] in dictionary order. Finally, in the public function **public_Dictionary_order**, call the private function **private_Dictionary_order** to return the result.

def test_run(content1):
    return DOD(content1).public_Dictionary_order()

assert candidate([['class DOD', 'def _private_Dictionary_order', 'def public_Dictionary_order'], ['class DOD', 'def __private_Dictionary_order', 'def public_Dictionary_order']]) == 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:
Question: Given two strings **s** and **t**, they only contain lowercase letters. String **t** is randomly rearranged from string **s**, and then a letter is added at a random position. Please find the letter added in **t**.
Please use Python language to first design a **RAI** class, with instance attributes **s** and **t**, a private function **private_Random_addition**, and a public function **public_Random_addition**; then implement the above problem in the private function **private_Random_addition**; finally, call the private function **private_Random_addition** in the public function **public_Random_addition** to return the result.

assert candidate("abcd","abcde")=="e"
assert candidate("","y")=="y"

def test_run(content1,content2):
    return RAI(content1,content2).public_Random_addition()

assert candidate([['class RAI', 'def _private_Random_addition', 'def public_Random_addition'], ['class RAI', 'def __private_Random_addition', 'def public_Random_addition']]) == 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 **RNE** class using Python language, which has an instance attribute **n**, a private function **private_remaining_numbers**, and a public function **public_remaining_numbers**. Then, implement the following problem in the private function **private_remaining_numbers**. Finally, call the private function **private_remaining_numbers** in the public function **public_remaining_numbers** to return the result.
Problem: The given list **arr** consists of all integers in the range [1, n] and is strictly sorted in ascending order. You need to delete the first number of **arr** from left to right, then delete a number every other number until you reach the end of the list, then repeat the above steps from right to left. Keep repeating these two steps until only one number is left. Given an integer **n**, you are required to return the last remaining number in **arr**.

assert candidate(9)==6
assert candidate(1)==1

def test_run(content1):
    return RNE(content1).public_remaining_numbers()

assert candidate([['class RNE', 'def _private_remaining_numbers', 'def public_remaining_numbers'], ['class RNE', 'def __private_remaining_numbers', 'def public_remaining_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:
Firstly, design a **PCN** class using Python language, which has an instance attribute **rectangles**, a private function **private_Parallel_coordinate**, and a public function **public_Parallel_coordinate**. Then, implement the following problem in the private function **private_Parallel_coordinate**. Finally, call the private function **private_Parallel_coordinate** in the public function **public_Parallel_coordinate** to return the result.
Problem: Given an array rectangles[i] = [x_i, y_i, a_i, b_i] representing a rectangle parallel to the coordinate axis, where the lower left vertex is (x_i, y_i) and the upper right vertex is (a_i, b_i), determine whether all rectangles together exactly cover a certain rectangular area. If so, return **True**; otherwise, return **False**.

def test_run(content1):
    return PCN(content1).public_Parallel_coordinate()

assert candidate([['class PCN', 'def _private_Parallel_coordinate', 'def public_Parallel_coordinate'], ['class PCN', 'def __private_Parallel_coordinate', 'def public_Parallel_coordinate']]) == 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 **VED** class using Python language, which has an instance attribute **data**, a private function **private_Valid_encoding**, and a public function **public_Valid_encoding**. Then, implement the following problem in the private function **private_Valid_encoding**. Finally, call the private function **private_Valid_encoding** in the public function **public_Valid_encoding** to return the result.
Problem: Given an integer array **data** representing data, return whether it is a valid UTF-8 encoding. Characters in UTF-8 need to follow the following rules: For a 1-byte character, the first bit of the byte is set to 0, and the following 7 bits are the unicode code of this symbol. For an n-byte character (n>1), the first n bits of the first byte are all set to 1, the n+1 bit is set to 0, and the first two bits of the following bytes are all set to 10. The remaining unmentioned binary bits are all the unicode code of this symbol.

assert candidate([197,130,1])==True
assert candidate([235,140,4])==False

def test_run(content1):
    return VED(content1).public_Valid_encoding()

assert candidate([['class VED', 'def _private_Valid_encoding', 'def public_Valid_encoding'], ['class VED', 'def __private_Valid_encoding', 'def public_Valid_encoding']]) == 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 **LST** using the Python language, which has instance attributes **s** and **k**, a private function **private_Longest_substring**, and a public function **public_Longest_substring**. Then, in the private function **private_Longest_substring**, return the length of the longest substring in the string **s** where each character appears no less than **k** times. Finally, in the public function **public_Longest_substring**, call the private function **private_Longest_substring** to return the result.

assert candidate("aaabb",3)==3
assert candidate("ababbc",2)==5

def test_run(content1,content2):
    return LST(content1,content2).public_Longest_substring()

assert candidate([['class LST', 'def _private_Longest_substring', 'def public_Longest_substring'], ['class LST', 'def __private_Longest_substring', 'def public_Longest_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 **CRT** class using Python language, which has an instance attribute **nums**, a private function **private_clockwise_rotation**, and a public function **public_clockwise_rotation**. Then, implement the following problem in the private function **private_clockwise_rotation**. Finally, call the private function **private_clockwise_rotation** in the public function **public_clockwise_rotation** to return the result.
Problem: Suppose **arrk** is the array after the integer array **nums** of length **n** is rotated **k** positions clockwise, we define the rotation function **F** of **nums** as: F(k)=0*arrk[0]+1*arrk[1]+...+(n-1)*arrk[n-1]. You need to return the maximum value among F(0), F(1), ..., F(n-1).

assert candidate([4,3,2,6])==26
assert candidate([100])==0

def test_run(content1):
    return CRT(content1).public_clockwise_rotation()

assert candidate([['class CRT', 'def _private_clockwise_rotation', 'def public_clockwise_rotation'], ['class CRT', 'def __private_clockwise_rotation', 'def public_clockwise_rotation']]) == 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 **MRC** class using Python language, which has an instance attribute **n**, a private function **private_Minimum_replacements**, and a public function **public_Minimum_replacements**. Then, in the private function **private_Minimum_replacements**, given a positive integer **n**, if **n** is even, replace **n** with **n/2**. If **n** is odd, replace **n** with **n+1** or **n-1**. Return the minimum number of replacements required for **n** to become 1. Finally, in the public function **public_Minimum_replacements**, call the private function **private_Minimum_replacements** to return the result.

assert candidate(8)==3
assert candidate(7)==4
assert candidate(4)==2

def test_run(content1):
    return MRC(content1).public_Minimum_replacements()

assert candidate([['class MRC', 'def _private_Minimum_replacements', 'def public_Minimum_replacements'], ['class MRC', 'def __private_Minimum_replacements', 'def public_Minimum_replacements']]) == 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 **IIG** class using Python language, which has an instance attribute **n**, a private function **private_Infinite_integers**, and a public function **public_Infinite_integers**. Then, in the private function **private_Infinite_integers**, return the number at the n-th position in the infinite integer sequence [1,2,3,4,5,6,7,8,9,10,11,...]. Finally, call the private function **private_Infinite_integers** in the public function **public_Infinite_integers** to return the result.

assert candidate(3)==3
assert candidate(11)==0

def test_run(content1):
    return IIG(content1).public_Infinite_integers()

assert candidate([['class IIG', 'def _private_Infinite_integers', 'def public_Infinite_integers'], ['class IIG', 'def __private_Infinite_integers', 'def public_Infinite_integers']]) == 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:
Question: Given a non-negative integer **num** represented as a string and an integer **k**, remove **k** digits from the number so that the remaining number is the smallest. Please return this smallest number in string form.
Using Python, first design a **SNU** class, which has instance attributes **num** and **k**, a private function **private_smallest_number**, and a public function **public_smallest_number**. Then implement the above problem in the private function **private_smallest_number**. Finally, call the private function **private_smallest_number** in the public function **public_smallest_number** to return the result.

def test_run(content1,content2):
    return SNU(content1,content2).public_smallest_number()

assert candidate([['class SNU', 'def _private_smallest_number', 'def public_smallest_number'], ['class SNU', 'def __private_smallest_number', 'def public_smallest_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:
First, design an **RQU** class using the Python language, which has an instance attribute **people**, a private function **private_Rank_queue**, and a public function **public_Rank_queue**. Then, implement the following problem in the private function **private_Rank_queue**. Finally, call the private function **private_Rank_queue** in the public function **public_Rank_queue** to return the result.
Problem: Assume there is a group of people standing in a queue in a disordered order. The array **people[i]=[h_i,k_i]** indicates that the height of the i-th person is **h_i**, and there are exactly **k_i** people in front of him who are taller or equal to **h_i**. The requirement is to return the queue represented by the input array **people**.

def test_run(content1):
    return RQU(content1).public_Rank_queue()

assert candidate([['class RQU', 'def _private_Rank_queue', 'def public_Rank_queue'], ['class RQU', 'def __private_Rank_queue', 'def public_Rank_queue']]) == 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:
Question: Given a non-negative integer array **nums** and an integer **m**, you need to divide this array into **m** non-empty continuous subarrays. Design an algorithm to make the maximum value of the sum of these **m** subarrays the smallest.
Please use Python language to first design a **CSR** class, with instance attributes **nums** and **m**, a private function **private_Continuous_subarray**, and a public function **public_Continuous_subarray**; then implement the above problem in the private function **private_Continuous_subarray**; finally, call the private function **private_Continuous_subarray** in the public function **public_Continuous_subarray** to return the result.

def test_run(content1,content2):
    return CSR(content1,content2).public_Continuous_subarray()

assert candidate([['class CSR', 'def _private_Continuous_subarray', 'def public_Continuous_subarray'], ['class CSR', 'def __private_Continuous_subarray', 'def public_Continuous_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 an **EAY** class using the Python language, which has an instance attribute **nums**, a private function **private_Equidistant_array**, and a public function **public_Equidistant_array**. Then, in the private function **private_Equidistant_array**, provide an integer array **nums** and return the number of sub-arrays in **nums** that are arithmetic arrays. Finally, in the public function **public_Equidistant_array**, call the private function **private_Equidistant_array** to return the result.

assert candidate([1,2,3,4])==3
assert candidate([1])==0

def test_run(content1):
    return EAY(content1).public_Equidistant_array()

assert candidate([['class EAY', 'def _private_Equidistant_array', 'def public_Equidistant_array'], ['class EAY', 'def __private_Equidistant_array', 'def public_Equidistant_array']]) == 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 **SSB** class using the Python language, which has an instance attribute **nums**, a private function **private_split_subset**, and a public function **public_split_subset**. Then, in the private function **private_split_subset**, determine whether the non-empty array **nums**, which only contains positive integers, can be split into two subsets so that the sum of the elements in the two subsets is equal. Finally, in the public function **public_split_subset**, call the private function **private_split_subset** to return the result.

assert candidate([1,5,11,5])==True
assert candidate([1,2,3,5])==False

def test_run(content1):
    return SSB(content1).public_split_subset()

assert candidate([['class SSB', 'def _private_split_subset', 'def public_split_subset'], ['class SSB', 'def __private_split_subset', 'def public_split_subset']]) == 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:
Question: Given a m x n matrix **board** representing a deck, where each cell can be a battleship 'X' or an empty spot '.', return the number of battleships placed on the board.
Please use Python to first design a **PBI** class, with an instance attribute **board**, a private function **private_Placed_battleships**, and a public function **public_Placed_battleships**. Then implement the above problem in the private function **private_Placed_battleships**. Finally, call the private function **private_Placed_battleships** in the public function **public_Placed_battleships** to return the result.

def test_run(content1):
    return PBI(content1).","()

assert candidate([['class PBI', 'def _private_Placed_battleships', 'def public_Placed_battleships'], ['class PBI', 'def __private_Placed_battleships', 'def public_Placed_battleships']]) == 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 **MRU** class using the Python language, which has an instance attribute **nums**, a private function **private_Maximum_result**, and a public function **public_Maximum_result**. Then, in the private function **private_Maximum_result**, return the maximum operation result of nums[i] XOR nums[j], where 0≤i≤j<n. Finally, in the public function **public_Maximum_result**, call the private function **private_Maximum_result** to return the result.

def test_run(content1):
    return MRU(content1).public_Maximum_result()

assert candidate([['class MRU', 'def _private_Maximum_result', 'def public_Maximum_result'], ['class MRU', 'def __private_Maximum_result', 'def public_Maximum_result']]) == 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:
Question: Given a string **s**, which contains several numbers (0-9) represented by scrambled English words, return the original numbers in ascending order.
Using Python language, first design a **DOR** class, with instance attribute **s**, private function **private_Disordered_order** and public function **public_Disordered_order**; then implement the above problem in the private function **private_Disordered_order**; finally, call the private function **private_Disordered_order** in the public function **public_Disordered_order** to return the result.

assert candidate("owoztneoer")=="012"
assert candidate("fviefuro")=="45"

def test_run(content1):
    return DOR(content1).public_Disordered_order()

assert candidate([['class DOR', 'def _private_Disordered_order', 'def public_Disordered_order'], ['class DOR', 'def __private_Disordered_order', 'def public_Disordered_order']]) == 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 **LSR** class using Python language, which has instance attributes **s** and **k**, a private function **private_Longest_substring**, and a public function **public_Longest_substring**. Then, in the private function **private_Longest_substring**, change any character in the string **s** to any other uppercase English character up to **k** times, and return the length of the longest substring containing the same letter. Finally, in the public function **public_Longest_substring**, call the private function **private_Longest_substring** to return the result.

assert candidate("ABAB",2)==4
assert candidate("AABABBA",1)==4

def test_run(content1,content2):
    return LSR(content1,content2).public_Longest_substring()

assert candidate([['class LSR', 'def _private_Longest_substring', 'def public_Longest_substring'], ['class LSR', 'def _private_Longest_substring', 'def public_Longest_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 class **GS** using Python language, which has instance attributes **start**, **end**, and **bank**, a private function **private_gene_sequence**, and a public function **public_gene_sequence**. Then, implement the following problem in the private function **private_gene_sequence**. Finally, call the private function **private_gene_sequence** in the public function **public_gene_sequence** to return the result.
Problem: A gene sequence is represented by a string composed of 8 characters, each of which is one of 'A', 'C', 'G', and 'T'. Suppose we need to investigate the gene changes that occur when the gene sequence **start** changes to **end**. Gene changes mean that the characters have changed. Given a gene bank **bank** that records all valid gene changes, return the minimum number of changes required to change **start** to **end**. If this gene change cannot be completed, return -1.

assert candidate("AACCGGTT", "AACCGGTA", ["AACCGGTA"])==1

assert candidate("AACCGGTT", "AAACGGTA", ["AACCGGTA","AACCGCTA","AAACGGTA"])==2

assert candidate("AAAAACCC", "AACCCCCC", ["AAAACCCC","AAACCCCC","AACCCCCC"])==3

def test_run(content1,content2,content3):
    return GS(content1,content2,content3).public_gene_sequence()

assert candidate([['class GS', 'def _private_gene_sequence', 'def public_gene_sequence'], ['class GS', 'def __private_gene_sequence', 'def public_gene_sequence']]) == 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:
Question: Given a collection of **intervals** where intervals[i] = [start_i, end_i]. Return the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.
Please use Python to first design a **SIL** class, with instance attribute **intervals**, a private function **private_Set_intervals**, and a public function **public_Set_intervals**. Then, implement the above problem in the private function **private_Set_intervals**. Finally, call the private function **private_Set_intervals** in the public function **public_Set_intervals** to return the result.

def test_run(content1):
    return SIL(content1).public_Set_intervals()

assert candidate([['class SIL', 'def _private_Set_intervals', 'def public_Set_intervals'], ['class SIL', 'def __private_Set_intervals', 'def public_Set_intervals']]) == 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 **RSC** class using Python language, which has an instance attribute **intervals**, a private function **private_Right_section**, and a public function **public_Right_section**. Then, implement the following problem in the private function **private_Right_section**. Finally, call the private function **private_Right_section** in the public function **public_Right_section** to return the result.
Problem: Given an interval array **intervals**, where intervals[i] = [start_i, end_i], and each **start_i** is different. The right section of interval **i** can be denoted as interval **j**, satisfying **start_j >= end_i**, and **start_j** is minimized. Return an array composed of the indices of the right section of each interval **i** in **intervals**. If there is no corresponding right section for a certain interval **i**, the value at index **i** is set to -1.

def test_run(content1):
    return RSC(content1).public_Right_section()

assert candidate([['class RSC', 'def _private_Right_section', 'def public_Right_section'], ['class RSC', 'def __private_Right_section', 'def public_Right_section']]) == 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:
Question: Given two strings **s** and **p**, find all the anagrams of **p** in **s**, and return the starting indices of these substrings. An anagram is a string formed by rearranging the same letters (including the same string).
Please use Python to first design a **SIN** class, with instance attributes **s** and **p**, a private function **private_start_index**, and a public function **public_start_index**; then implement the above problem in the private function **private_start_index**; finally, call the private function **private_start_index** in the public function **public_start_index** to return the result.

def test_run(content1,content2):
    return SIN(content1,content2).public_start_index()

assert candidate([['class SIN', 'def _private_start_index', 'def public_start_index'], ['class SIN', 'def __private_start_index', 'def public_start_index']]) == 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 **DOE** class using Python language, which has instance attributes **n** and **k**, a private function **private_Dictionary_order**, and a public function **public_Dictionary_order**. Then, return the **k-th** smallest number in the dictionary order of [1, n] in the private function **private_Dictionary_order**. Finally, call the private function **private_Dictionary_order** in the public function **public_Dictionary_order** to return the result.

assert candidate(13,2)==10
assert candidate(1,1)==1

def test_run(content1,content2):
    return DOE(content1,content2).public_Dictionary_order()

assert candidate([['class DOE', 'def _private_Dictionary_order', 'def public_Dictionary_order'], ['class DOE', 'def __private_Dictionary_order', 'def public_Dictionary_order']]) == 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:
Question: There are a total of **n** coins, and the plan is to arrange them in a staircase shape. For a staircase composed of **k** rows, the i-th row must have exactly **i** coins. The last row of the staircase may be incomplete. Given a number **n**, calculate and return the total number of rows that can form a complete staircase.
Please use the Python language to first design a **CLA** class, with an instance attribute **n**, a private function **private_Complete_ladder**, and a public function **public_Complete_ladder**; then implement the above problem in the private function **private_Complete_ladder**; finally, call the private function **private_Complete_ladder** in the public function **public_Complete_ladder** to return the result.

assert candidate(5)==2
assert candidate(8)==3

def test_run(content1):
    return CLA(content1).public_Complete_ladder()

assert candidate([['class CLA', 'def _private_Complete_ladder', 'def public_Complete_ladder'], ['class CLA', 'def __private_Complete_ladder', 'def public_Complete_ladder']]) == 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:
Question: Given an integer array **nums** of length **n**, where all integers in **nums** are within the range [1, n] and each integer appears once or twice. Please find all integers that appear twice and return them in the form of an array.
Please use Python to first design a class **AFO** with instance attribute **nums**, private function **private_Array_form** and public function **public_Array_form**; then implement the above problem in the private function **private_Array_form**; finally, call the private function **private_Array_form** in the public function **public_Array_form** to return the result.

def test_run(content1):
    return AFO(content1).public_Array_form()

assert candidate([['class AFO', 'def _private_Array_form', 'def public_Array_form'], ['class AFO', 'def __private_Array_form', 'def public_Array_form']]) == 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 **ISAR** class using the Python language, which has instance attributes **chars**, a private function **private_Input_sarray**, and a public function **public_Input_sarray**. Then, implement the following problem in the private function **private_Input_sarray**. Finally, call the private function **private_Input_sarray** in the public function **public_Input_sarray** to return the result.
Problem: Given a character array **chars**, compress the array according to the following requirements: Starting from an empty string **s**, for each group of consecutive repeating characters in **chars**, if the length of the group is 1, append the character to **s**. Otherwise, append the character to **s**, followed by the length of the group. The requirement is to return the new length of the array after modifying the input array.

def test_run(content1):
    return ISAR(content1).public_Input_sarray()

assert candidate([['class ISAR', 'def _private_Input_sarray', 'def public_Input_sarray'], ['class ISAR', 'def __private_Input_sarray', 'def public_Input_sarray']]) == 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 **ESQ** class using Python language, which has an instance attribute **nums**, a private function **private_Equidistant_subsequence**, and a public function **public_Equidistant_subsequence**. Then, in the private function **private_Equidistant_subsequence**, return the number of all equidistant subsequences in the integer array **nums**. Finally, in the public function **public_Equidistant_subsequence**, call the private function **private_Equidistant_subsequence** to return the result.

def test_run(content1):
    return ESQ(content1).public_Equidistant_subsequence()

assert candidate([['class ESQ', 'def _private_Equidistant_subsequence', 'def public_Equidistant_subsequence'], ['class ESQ', 'def __private_Equidistant_subsequence', 'def public_Equidistant_subsequence']]) == 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 **EDA** class using Python language, which has an instance attribute **points**, a private function **private_Euclidean_distance**, and a public function **public_Euclidean_distance**. Then, implement the following problem in the private function **private_Euclidean_distance**. Finally, call the private function **private_Euclidean_distance** in the public function **public_Euclidean_distance** to return the result.
Problem: Given **n** pairs of distinct points on the plane points[i]=[x_i,y_i], a point (i,j,k) represents a boomerang, where the distance between **i** and **j** is equal to the Euclidean distance between **i** and **k** (considering the order of the tuple), return the number of all boomerangs on the plane.

def test_run(content1):
    return EDA(content1).public_Euclidean_distance()

assert candidate([['class EDA', 'def _private_Euclidean_distance', 'def public_Euclidean_distance'], ['class EDA', 'def __private_Euclidean_distance', 'def public_Euclidean_distance']]) == 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:
Question: Given a string **s**, sort it in decreasing order based on the frequency of characters. The frequency of a character is the number of times it appears in the string. Return the sorted string.
Please use Python to first design a **DODE** class, with an instance attribute **s**, a private function **private_descending_order**, and a public function **public_descending_order**; then implement the above problem in the private function **private_descending_order**; finally, call the private function **private_descending_order** in the public function **public_descending_order** to return the result.

assert candidate("tree")=="eert"
assert candidate("cccaaa")=="cccaaa"
assert candidate("Aabb")=="bbAa"

def test_run(content1):
    return DODE(content1).public_descending_order()

assert candidate([['class DODE', 'def _private_descending_order', 'def public_descending_order'], ['class DODE', 'def __private_descending_order', 'def public_descending_order']]) == 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:
Question: Given an integer array of length n, each operation will increase n - 1 elements by 1. Return the minimum number of operations to make all elements in the array equal.
Please design an **EEL** class in Python first, with instance attribute **nums**, a private function **private_Element_equality**, and a public function **public_Element_equality**. Then, implement the above problem in the private function **private_Element_equality**. Finally, call the private function **private_Element_equality** in the public function **public_Element_equality** to return the result.

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

def test_run(content1):
    return EEL(content1).public_Element_equality()

assert candidate([['class EEL', 'def _private_Element_equality', 'def public_Element_equality'], ['class EEL', 'def __private_Element_equality', 'def public_Element_equality']]) == 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:
Question: Given four integer arrays **nums1**, **nums2**, **nums3**, and **nums4**, all of the same length **n**, calculate how many tuples (i, j, k, l) can satisfy: 0 <= i, j, k, l < n and nums1[i] + nums2[j] + nums3[k] + nums4[l] == 0.
Please use Python to first design an **AST** class, with instance attributes **nums1**, **nums2**, **nums3**, and **nums4**, a private function **private_Array_stlength**, and a public function **public_Array_stlength**. Then, implement the above problem in the private function **private_Array_stlength**. Finally, call the private function **private_Array_stlength** in the public function **public_Array_stlength** to return the result.

def test_run(content1,content2,content3,content4):
    return AST(content1,content2,content3,content4).public_Array_stlength()

assert candidate([['class AST', 'def _private_Array_stlength', 'def public_Array_stlength'], ['class AST', 'def __private_Array_stlength', 'def public_Array_stlength']]) == 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:
Question: Given an integer array **nums** with **n** integers. A 132 pattern subsequence is a three-element sequence nums[i], nums[j], and nums[k] that satisfies: i<j<k and nums[i]<nums[k]<nums[j]. If there is a 132 pattern subsequence in **nums**, return True; otherwise, return False.
Please design a **SPAR** class in Python first, with an instance attribute **nums**, a private function **private_Subsequences_patterns**, and a public function **public_Subsequences_patterns**; then implement the above problem in the private function **private_Subsequences_patterns**; finally, call the private function **private_Subsequences_patterns** in the public function **public_Subsequences_patterns** to return the result.

assert candidate([1,2,3,4])==False
assert candidate([3,1,4,2])==True
assert candidate([-1,3,2,0])==True

def test_run(content1):
    return SPAR(content1).public_Subsequences_patterns()

assert candidate([['class SPAR', 'def _private_Subsequences_patterns', 'def public_Subsequences_patterns'], ['class SPAR', 'def __private_Subsequences_patterns', 'def public_Subsequences_patterns']]) == 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 **SPR** class using Python language, which has an instance attribute **nums**, a private function **private_Suences_patterns**, and a public function **public_Suences_patterns**. Then, implement the following problem in the private function **private_Suences_patterns**. Finally, call the private function **private_Suences_patterns** in the public function **public_Suences_patterns** to return the result.
Problem: Given a circular array nums[i] without 0, which represents the number of indices that the character at index **i** should move forward or backward. If it is a positive number, move forward (in the direction of index increment) by |nums[i]| steps, otherwise, move backward (in the direction of index decrement) by |nums[i]| steps. Because the array is circular, it can be assumed that moving one step forward from the last element will reach the first element, and moving one step backward from the first element will reach the last element. The cycle in the array is identified by an index sequence **seq** of length k: following the above movement rules will lead to a group of repeated index sequences seq[0]->seq[1]->...->seq[k-1]->seq[0]->...; all nums[seq[j]] should be either all positive or all negative. Determine whether there is a cycle in **nums**, if it exists, return True; otherwise, return False.

def test_run(content1):
    return SPR(content1).public_Suences_patterns()

assert candidate([['class SPR', 'def _private_Suences_patterns', 'def public_Suences_patterns'], ['class SPR', 'def __private_Suences_patterns', 'def public_Suences_patterns']]) == 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:
Question: Given an integer array **nums** of length **n**, return the minimum number of operations required to make all elements of the array equal. In one operation, you can increase or decrease an element of the array by one.
Please use Python to first design an **OOA** class, with instance attribute **nums**, a private function **private_One_operation**, and a public function **public_One_operation**. Then, implement the above problem in the private function **private_One_operation**. Finally, call the private function **private_One_operation** in the public function **public_One_operation** to return the result.

assert candidate([1,2,3])==2
assert candidate([1,10,2,9])==16

def test_run(content1):
    return OOA(content1).public_One_operation()

assert candidate([['class OOA', 'def _private_One_operation', 'def public_One_operation'], ['class OOA', 'def __private_One_operation', 'def public_One_operation']]) == 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 **PIGE** using Python language, which has instance attributes **maxChoosableInteger** and **desiredTotal**, a private function **private_Public_integer**, and a public function **public_Public_integer**. Then, implement the following problem in the private function **private_Public_integer**. Finally, call the private function **private_Public_integer** in the public function **public_Public_integer** to return the result.
Problem: Now, we are playing the **100game**. Two players take turns to choose any integer from 1 to 10, accumulate the sum of integers. The player who first reaches or exceeds 100 and cannot reuse integers is the winner. Given two integers, **maxChoosableInteger** (the maximum number that can be chosen from the integer pool) and **desiredTotal** (the accumulated sum), determine whether the first player can win stably. If so, return True, otherwise return False.

assert candidate(10,11)==False
assert candidate(10,0)==True
assert candidate(10,1)==True

def test_run(content1,content2):
    return PIGE(content1,content2).public_Public_integer()

assert candidate([['class PIGE', 'def _private_Public_integer', 'def public_Public_integer'], ['class PIGE', 'def __private_Public_integer', 'def public_Public_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


Question:
Firstly, design an **IIFI** class using Python language, which has instance attributes **s1**, **n1**, **s2**, and **n2**, a private function **private_Italic_tion**, and a public function **public_Italic_tion**. Then, implement the following problem in the private function **private_Italic_tion**. Finally, call the private function **private_Italic_tion** in the public function **public_Italic_tion** to return the result.
Problem: Given str=[s,n] indicates that **str** is composed of **n** strings **s** concatenated together. If some characters can be deleted from **s2** to become **s1**, then it is said that the string **s1** can be obtained from the string **s2**. You need to construct two strings **s1** and **s2** and two integers **n1** and **n2** to get two strings str1=[s1,n1] and str2=[s2,n2]. The requirement is to return a maximum integer **m**, to satisfy that str=[str2,m] can be obtained from **str1**.

assert candidate("acb",4,"ab",2)==2
assert candidate("acb",1,"acb",1)==1

def test_run(content1,content2,content3,content4):
    return IIFI(content1,content2,content3,content4).public_Italic_tion()

assert candidate([['class IIFI', 'def _private_Italic_tion', 'def public_Italic_tion'], ['class IIFI', 'def __private_Italic_tion', 'def public_Italic_tion']]) == 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:
Question: Define a string base as an infinitely wrapped "abcdefghijklmnopqrstuvwxyz", so the base looks like this: "...zabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcd....". Given a string s, please count and return how many different non-empty substrings appear in the base.
Please use Python to first design an **IZOE** class, with instance attribute **s**, private function **private_Infinity_Zone**, and public function **public_Infinity_Zone**; then implement the above problem in the private function **private_Infinity_Zone**; finally, call the private function **private_Infinity_Zone** in the public function **public_Infinity_Zone** to return the result.

assert candidate("a")==1
assert candidate("cac")==2
assert candidate("zab")==6

def test_run(content1):
    return IZOE(content1).public_Infinity_Zone()

assert candidate([['class IZOE', 'def _private_Infinity_Zone', 'def public_Infinity_Zone'], ['class IZOE', 'def __private_Infinity_Zone', 'def public_Infinity_Zone']]) == 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 **EDC** class using Python language, which has an instance attribute **words**, a private function **private_Excluding_Duplicates**, and a public function **public_Excluding_Duplicates**. Then, in the private function **private_Excluding_Duplicates**, provide a string array **words** that does not contain duplicate words, and it is required to return all the conjunctions in **words**. Finally, call the private function **private_Excluding_Duplicates** in the public function **public_Excluding_Duplicates** to return the result.

def test_run(content1):
    return EDC(content1).public_Excluding_Duplicates()

assert candidate([['class EDC', 'def _private_Excluding_Duplicates', 'def public_Excluding_Duplicates'], ['class EDC', 'def __private_Excluding_Duplicates', 'def public_Excluding_Duplicates']]) == 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 **EMSP** class using Python language, which has an instance attribute **matchsticks**, a private function **private_Each_matchstick**, and a public function **public_Each_matchstick**. Then, implement the following problem in the private function **private_Each_matchstick**. Finally, call the private function **private_Each_matchstick** in the public function **public_Each_matchstick** to return the result.
Problem: Given an integer array, matchsticks[i] is the length of the i-th matchstick. The requirement is to form a square with all the matchsticks (they can be connected together), but no matchstick can be broken and each matchstick must be used once. Determine whether it is possible to form this square. If it is possible, return True, otherwise return False.

assert candidate([1,1,2,2,2])==True
assert candidate([3,3,3,3,4])==False

def test_run(content1):
    return EMSP(content1).public_Each_matchstick()

assert candidate([['class EMSP', 'def _private_Each_matchstick', 'def public_Each_matchstick'], ['class EMSP', 'def __private_Each_matchstick', 'def public_Each_matchstick']]) == 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:
Question: Given a binary string array **strs** and two integers **m** and **n**. Please find and return the length of the maximum subset of **strs**, which has at most **m** zeros and **n** ones. If all elements of **x** are also elements of **y**, set **x** is a subset of set **y**.
Please use Python language to first design a **MSBS** class, with instance attributes **strs**, **m** and **n**, a private function **private_Maximum_subset** and a public function **public_Maximum_subset**; then implement the above problem in the private function **private_Maximum_subset**; finally, call the private function **private_Maximum_subset** in the public function **public_Maximum_subset** to return the result.

def test_run(content1,content2,content3):
    return MSBS(content1,content2,content3).public_Maximum_subset()

assert candidate([['class MSBS', 'def _private_Maximum_subset', 'def public_Maximum_subset'], ['class MSBS', 'def __private_Maximum_subset', 'def public_Maximum_subset']]) == 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 **ANUB** using Python language, which has an instance attribute **nums**, a private function **private_Any_numbers**, and a public function **public_Any_numbers**. Then, in the private function **private_Any_numbers**, return the total Hamming distance between any two numbers in the integer array **nums**. Finally, in the public function **public_Any_numbers**, call the private function **private_Any_numbers** to return the result.

assert candidate([4,14,2])==6
assert candidate([4,14,4])==4

def test_run(content1):
    return ANUB(content1).public_Any_numbers()

assert candidate([['class ANUB', 'def _private_Any_numbers', 'def public_Any_numbers'], ['class ANUB', 'def __private_Any_numbers', 'def public_Any_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: Firstly, design an **MPRD** class using the Python language, which has an instance attribute **n**, a private function **private_Maximum_palindrome**, and a public function **public_Maximum_palindrome**. Then, in the private function **private_Maximum_palindrome**, return the maximum palindrome integer that can be represented as the product of two n-digit integers. Finally, in the public function **public_Maximum_palindrome**, call the private function **private_Maximum_palindrome** to return the result.

assert candidate(2)==987
assert candidate(1)==9

def test_run(content1):
    return MPRD(content1).public_Maximum_palindrome()

assert candidate([['class MPRD', 'def _private_Maximum_palindrome', 'def public_Maximum_palindrome'], ['class MPRD', 'def __private_Maximum_palindrome', 'def public_Maximum_palindrome']]) == 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 **MSRI** class using the Python language, which has an instance attribute **n**, a private function **private_Magic_String**, and a public function **public_Magic_String**. Then, implement the following problem in the private function **private_Magic_String**. Finally, call the private function **private_Magic_String** in the public function **public_Magic_String** to return the result.

Problem: The magical string **s** is composed only of '1' and '2', and the consecutive occurrences of '1' and '2' can generate this string. The first few elements of **s** are s = '1221121221221121122……'. If you group consecutive 1s and 2s in **s**, you can get "1221121221221121122......". The number of times 1 or 2 appears in each group is "122112122122......". The above occurrence times are exactly **s** itself. Given an integer **n**, return the number of 1s in the first **n** digits of the magical string **s**.

assert candidate(6)==3
assert candidate(1)==1

def test_run(content1):
    return MSRI(content1).public_Magic_String()

assert candidate([['class MSRI', 'def _private_Magic_String', 'def public_Magic_String'], ['class MSRI', 'def __private_Magic_String', 'def public_Magic_String']]) == 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 **MBS** class using the Python language, which has an instance attribute **n**, a private function **private_Minimum_base**, and a public function **public_Minimum_base**. Then, in the private function **private_Minimum_base**, it is required to return the minimum good base of **n** in the form of a string. The definition of the minimum good base is as follows: if all digits of the **k** (k>=2) base number of **n** are 1, then **k** (k>=2) is considered a good base for **n**. Finally, the private function **private_Minimum_base** is called in the public function **public_Minimum_base** to return the result.

def test_run(content1):
    return MBS(content1).public_Minimum_base()

assert candidate([['class MBS', 'def _private_Minimum_base', 'def public_Minimum_base'], ['class MBS', 'def __private_Minimum_base', 'def public_Minimum_base']]) == 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:
Question: Given an integer array **nums**, find and return all the distinct increasing sub-sequences in this array, where each sub-sequence must contain at least two elements.
Please design an **ISQE** class in Python, which has an instance attribute **nums**, a private function **private_increasing_subsequence**, and a public function **public_increasing_subsequence**. Then, implement the above problem in the private function **private_increasing_subsequence**. Finally, call the private function **private_increasing_subsequence** in the public function **public_increasing_subsequence** to return the result.

def test_run(content1):
    return ISQE(content1).public_increasing_subsequence()

assert candidate([['class ISQE', 'def _private_increasing_subsequence', 'def public_increasing_subsequence'], ['class ISQE', 'def __private_increasing_subsequence', 'def public_increasing_subsequence']]) == 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:
Question: Given an array **nums**, if i<j and nums[i]>2*nums[j], we call (i, j) an important reverse pair. You need to return the number of **important reverse pairs** in the given array.
Please use Python to first design an **IFIP** class, with instance attribute **nums**, private function **private_Important_flipping** and public function **public_Important_flipping**; then implement the above problem in the private function **private_Important_flipping**; finally, call the private function **private_Important_flipping** in the public function **public_Important_flipping** to return the result.

def test_run(content1):
    return IFIP(content1).public_Important_flipping()

assert candidate([['class IFIP', 'def _private_Important_flipping', 'def public_Important_flipping'], ['class IFIP', 'def __private_Important_flipping', 'def public_Important_flipping']]) == 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