# C++ Programming Code Examples

## C++ > Mathematics Code Examples

### Program to Perform the Unique Factorization of a Given Number

/* Program to Perform the Unique Factorization of a Given Number This is a C++ Program to find the unique paritions of a given integer such that addition of a partition result an integer. Given a positive integer n, generate all possible unique ways to represent n as sum of positive integers. */ #include<iostream> using namespace std; // A utility function to print an array p[] of size 'n' void printArray(int p[], int n) { for (int i = 0; i < n; i++) cout << p[i] << " "; cout << endl; } void printAllUniqueParts(int n) { int p[n]; // An array to store a partition int k = 0; // Index of last element in a partition p[k] = n; // Initialize first partition as number itself // This loop first prints current partition, then generates next // partition. The loop stops when the current partition has all 1s while (true) { // print current partition printArray(p, k + 1); // Generate next partition // Find the rightmost non-one value in p[]. Also, update the // rem_val so that we know how much value can be accommodated int rem_val = 0; while (k >= 0 && p[k] == 1) { rem_val += p[k]; k--; } // if k < 0, all the values are 1 so there are no more partitions if (k < 0) return; // Decrease the p[k] found above and adjust the rem_val p[k]--; rem_val++; // If rem_val is more, then the sorted order is violeted. Divide // rem_val in differnt values of size p[k] and copy these values at // different positions after p[k] while (rem_val > p[k]) { p[k + 1] = p[k]; rem_val = rem_val - p[k]; k++; } // Copy rem_val to next position and increment position p[k + 1] = rem_val; k++; } } // Driver program to test above functions int main() { cout << "All Unique Partitions of 2 \n"; printAllUniqueParts(2); cout << "\nAll Unique Partitions of 3 \n"; printAllUniqueParts(3); cout << "\nAll Unique Partitions of 4 \n"; printAllUniqueParts(4); return 0; }

In computer programming, loops are used to repeat a block of code. For example, when you are displaying number from 1 to 100 you may want set the value of a variable to 1 and display it 100 times, increasing its value by 1 on each loop iteration. When you know exactly how many times you want to loop through a block of code, use the for loop instead of a while loop. A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times.

Arithmetic Operator is used to performing mathematical operations such as addition, subtraction, multiplication, division, modulus, etc., on the given operands. For example: 6 + 3 = 9, 5 - 3 = 2, 3 * 4 = 12, etc. are the examples of arithmetic operators. Let's discuss the different types of Arithmetic Operators in the C programming. Plus Operator is a simple Plus (+) Operator used to add two given operands. We can use Plus Operator with different data types such as integer, float, long, double, enumerated and string type data to add the given operand. The minus operator is denoted by the minus (-) symbol. It is used to return the subtraction of the first number from the second number. The data type of the given number can be different types, such as int, float, double, long double, etc., in the programing language.

#include is a way of including a standard or user-defined file in the program and is mostly written at the beginning of any C/C++ program. This directive is read by the preprocessor and orders it to insert the content of a user-defined or system header file into the following program. These files are mainly imported from an outside source into the current program. The process of importing such files that might be system-defined or user-defined is known as File Inclusion. This type of preprocessor directive tells the compiler to include a file in the source code program.

An array is defined as the collection of similar type of data items stored at contiguous memory locations. Arrays are the derived data type in C++ programming language which can store the primitive type of data such as int, char, double, float, etc. It also has the capability to store the collection of derived data types, such as pointers, structure, etc. The array is the simplest data structure where each data element can be randomly accessed by using its index number. C++ array is beneficial if you have to store similar elements. For example, if we want to store the marks of a student in 6 subjects, then we don't need to define different variables for the marks in the different subject. Instead of that, we can define an array which can store the marks in each subject at the contiguous memory locations.

As the name already suggests, these operators help in assigning values to variables. These operators help us in allocating a particular value to the operands. The main simple assignment operator is '='. We have to be sure that both the left and right sides of the operator must have the same data type. We have different levels of operators. Assignment operators are used to assign the value, variable and function to another variable. Assignment operators in C are some of the C Programming Operator, which are useful to assign the values to the declared variables. Let's discuss the various types of the assignment operators such as =, +=, -=, /=, *= and %=. The following table lists the assignment operators supported by the C language:

A program shall contain a global function named main, which is the designated start of the program in hosted environment. main() function is the entry point of any C++ program. It is the point at which execution of program is started. When a C++ program is executed, the execution control goes directly to the main() function. Every C++ program have a main() function.

In computer programming, we use the if statement to run a block code only when a certain condition is met. An if statement can be followed by an optional else statement, which executes when the boolean expression is false. There are three forms of if...else statements in C++: • if statement, • if...else statement, • if...else if...else statement, The if statement evaluates the condition inside the parentheses ( ). If the condition evaluates to true, the code inside the body of if is executed. If the condition evaluates to false, the code inside the body of if is skipped.

Logical Operators are used to compare and connect two or more expressions or variables, such that the value of the expression is completely dependent on the original expression or value or variable. We use logical operators to check whether an expression is true or false. If the expression is true, it returns 1 whereas if the expression is false, it returns 0. Assume variable A holds 1 and variable B holds 0:

Consider a situation, when we have two persons with the same name, jhon, in the same class. Whenever we need to differentiate them definitely we would have to use some additional information along with their name, like either the area, if they live in different area or their mother's or father's name, etc. Same situation can arise in your C++ applications. For example, you might be writing some code that has a function called xyz() and there is another library available which is also having same function xyz(). Now the compiler has no way of knowing which version of xyz() function you are referring to within your code.

In while loop, condition is evaluated first and if it returns true then the statements inside while loop execute, this happens repeatedly until the condition returns false. When condition returns false, the control comes out of loop and jumps to the next statement in the program after while loop. The important point to note when using while loop is that we need to use increment or decrement statement inside while loop so that the loop variable gets changed on each iteration, and at some point condition returns false. This way we can end the execution of while loop otherwise the loop would execute indefinitely. A while loop that never stops is said to be the infinite while loop, when we give the condition in such a way so that it never returns false, then the loops becomes infinite and repeats itself indefinitely.

This C++ program code displays the Djikstra's Algorithm of finding shortest paths from one node to others using the concept of a priority queue. A "Priority Queue" is an abstract data

Read the comments in the following program to understand each part of the program. This is a "default constructor" of the class, you do note that it's name is same as class name and

Control statement itself has three parts: for ( "initialization"; test condition; run every time command ). "Initialization" part is performed only once at for loop start. We can initialize a

To 'delete particular words' from the string or sentence in C++ language, enter the string or sentence, and then enter the 'word to delete' all the given/entered word from the sentence