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Topic: mathematics-problem / Level: advanced
2051. Write a program to determine if a number is a strong prime.
2052. Implement a function to generate all permutations of a given list.
2053. Create a program to find the minimum cost path in a grid with weights.
2054. Write a program to calculate the sum of all distinct elements in an array.
2055. Implement a function to check if a string is a valid IP address.
2056. Create a program to calculate the mean and standard deviation of a dataset.
2057. Write a program to find the greatest common divisor using the extended Euclidean algorithm.
2058. Implement a function to check if a matrix is invertible.
2059. Create a program to find the roots of a polynomial equation.
2060. Write a program to compute the value of a function at a point using Taylor series expansion.
2061. Implement a function to calculate the number of distinct paths in a grid.
2062. Create a program to check if a string is a palindrome.
2063. Write a program to find the maximum product of two integers from an array.
2064. Implement a function to find the smallest prime number greater than a given number.
2065. Create a program to calculate the harmonic mean of a set of numbers.
2066. Write a program to find the maximum area of a rectangle in a binary matrix.
2067. Implement a function to determine if two numbers are coprime.
2068. Create a program to find the number of ways to distribute n identical items into k distinct groups.
2069. Write a program to compute the nth term of a geometric sequence.
2070. Implement a function to calculate the median of two sorted arrays.
2071. Create a program to find the total number of digits in a factorial.
2072. Write a program to find the longest palindromic subsequence in a string.
2073. Implement a function to compute the GCD of two matrices.
2074. Create a program to find the sum of the first n natural numbers using the formula.
2075. Write a program to check if a number is a perfect number.
2076. Implement a function to calculate the area of a sector given the radius and angle.
2077. Create a program to find the number of permutations of a string with duplicates.
2078. Write a program to compute the coefficients of a binomial expansion.
2079. Implement a function to calculate the number of unique paths in a grid.
2080. Create a program to check if a string contains balanced parentheses.
2081. Write a program to find the maximum sum of non-adjacent elements in an array.
2082. Implement a function to generate all combinations of a given string.
2083. Create a program to find the LCM of multiple numbers.
2084. Write a program to calculate the sum of the first n odd numbers.
2085. Implement a function to find the maximum sum of a contiguous subarray using Kadanes algorithm.
2086. Create a program to determine if a given number can be expressed as a sum of two squares.
2087. Write a program to find the longest common subsequence of two strings.
2088. Implement a function to check if a number is a prime palindrome.
2089. Create a program to compute the number of combinations of n items taken k at a time using the factorial.
2090. Write a program to calculate the average of even numbers in a list.
2091. Implement a function to find the maximum product of three integers in an array.
2092. Create a program to check if two strings are anagrams of each other.
2093. Write a program to calculate the sum of the squares of the digits of a number.
2094. Implement a function to find the maximum area of a rectangle in a histogram.
2095. Create a program to compute the GCD of two polynomials.
2096. Write a program to check if a number is a strong prime.
2097. Implement a function to calculate the area of a polygon given its vertices using the shoelace formula.
2098. Create a program to find the total number of distinct prime factors of a number.
2099. Write a program to compute the value of a function using Taylor series expansion.
2100. Implement a function to calculate the binomial coefficients using Pascals Triangle.
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