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A Binary Search Tree (BST) is defined as either an empty tree or a tree satisfying these conditions: for any node, all values in its left subtree are less than its own value, and all values in its right subtree are greater. Both subtrees must also be BSTs. Given a sequence of unique integers, insert them sequentially into an initial empty BST. ...

Templates Function Templates Function templates enable generic programming by allowing functions to operate with different data types. #include <iostream> using namespace std; template<typename T> void swapValues(T& a, T& b) { T temp = a; a = b; b = temp; } void testFunctionTemplate() { int x = 10, y = 20; ...

Date Statistics The first four digits are fixed. Generate the last four digits using nested loops, record valid dates, then verify if these dates can be formed. Verification method: Since it's a subsequence problem, we can skip elements but maintain relative order. For the given 100 numbers, match each digit sequentially with the 8-digit date. ...

Concurrency Strategy in B+Trees Implementing thread safety in a B+Tree index requires protecting both the internal data of nodes and the structural integrity during split and merge operations. The standard protocol for this is Latch Crabbing, where a thread acquires a latch on a child node and only releases the latch on the parent if the child ...

Java enforces a strict object-oriented structure: every source file must define exactly one public class, and the fileanme must match the class name (e.g., Main.java for class Main). Unlike C++, all functions—including main—must be declared inside a class. Program Entry Point The Java main method has a fixed signature and must reside within a c ...

Vector A vector is a dynamic array that automatically resizes itself. It supports random access via the [] operator, allowing O(1) time access to any element by index. However, inserting elements at arbitrary positions is not an O(1) operation. Declaration #include <vector> using namespace std; vector<double> data; // A dynamic arr ...

C++ templates enable code reuse by allowing type parametrization—defining logic that operates on unspecified types, which the compiler resolves into concrete implementations based on user-provided type arguments. This eliminates rigid type constraints in statically-typed C++ code. Compilers do not compile template definitions directly. Instead, ...

This guide demonstrates techniques for mocking singleton template classes using Google Mock. Method 1: Direct Mocking via Static Method For a simple singleton template class, you can directly mock its methods using GMock's MOCK_METHOD macro. This approach assumes the singletno class already exposes methods intended for mocking. #include <gte ...

Sorting and Monotonicity When a problem does not enforce a specific elemant order, applying a sort operation often introduces monotonicity. This property simplifies constraint checking and enables efficient querying through prefix sums combined with binary search. Processing Cumulative Constraints By sorting the input array and computing its pr ...

Multiple Choice Questions What logic components were used in China's first large-scale general-purpose electronic computer? Answer: D. Vacuum tubes Explanation: The first Chinese general-purpose electronic computer, developed in June 1958 by the Institute of Computing Technology, CAS, utilized vacuum tubes as its primary logic elements. Given ...