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Please explain the code with algorithom ASAP #include #include using namespace std;   bool validate(string input) { for (inti = 0; i < input.length(); i++) { if (!isdigit(input[i])) { returnfalse; } } returntrue; }   int factorial(int n) { intresult = 1; for (inti = 1; i <= n; i++) { result *= i; } returnresult; }   int power(int n, int m) { intresult = 1; for (inti = 1; i <= m; i++) { result *= n; } returnresult; }   int main() { stringinput; intn, m; cout<<"MATH MENU"< 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; } cout< 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; } while (true) { cout<<"Enter an integer value for m (1-9): "; getline(cin, input); if (!validate(input)) { cout<<"Invalid input. Please enter an integer value.\n"; continue; } m = stoi(input); if (m < 1 || m > 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; }   cout<

Please explain the code with algorithom ASAP #include #include using namespace std;   bool validate(string input) { for (inti = 0; i < input.length(); i++) { if (!isdigit(input[i])) { returnfalse; } } returntrue; }   int factorial(int n) { intresult = 1; for (inti = 1; i <= n; i++) { result *= i; } returnresult; }   int power(int n, int m) { intresult = 1; for (inti = 1; i <= m; i++) { result *= n; } returnresult; }   int main() { stringinput; intn, m; cout<<"MATH MENU"< 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; } cout< 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; } while (true) { cout<<"Enter an integer value for m (1-9): "; getline(cin, input); if (!validate(input)) { cout<<"Invalid input. Please enter an integer value.\n"; continue; } m = stoi(input); if (m < 1 || m > 9) { cout<<"Invalid input. Please enter a value between 1 and 9.\n"; continue; } break; }   cout<

C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion
Problem 9E: (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by...
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Please explain the code with algorithom ASAP

#include <iostream>
#include <string>
using namespace std;
 
bool validate(string input) {
for (inti = 0; i < input.length(); i++) {
if (!isdigit(input[i])) {
returnfalse;
}
}
returntrue;
}
 
int factorial(int n) {
intresult = 1;
for (inti = 1; i <= n; i++) {
result *= i;
}
returnresult;
}
 
int power(int n, int m) {
intresult = 1;
for (inti = 1; i <= m; i++) {
result *= n;
}
returnresult;
}
 
int main() {
stringinput;
intn, m;
cout<<"MATH MENU"<<endl;
cout<<"------------------------------------------"<<endl;
while (true) {
 
// Display menu
cout << "1. Calculate n! (n factorial)" << endl;
cout<<"2. Calculate n to the m power"<<endl;
cout<<"3. Exit program"<<endl;
 
cout<<"Please enter your selection: ";
cout<<"Please Enter your choice: ";
 
getline(cin, input);
 
if (!validate(input)) {
cout<<"Invalid option. Please re-enter\n";
continue;
}

intoption = stoi(input);
if (option == 1) {
while (true) {
cout<<"Enter an integer value for n (1-9): ";
getline(cin, input);

if (!validate(input)) {
cout<<"Invalid input. Please enter an integer value.\n";
continue;
}
n = stoi(input);

if (n < 1 || n > 9) {
cout<<"Invalid input. Please enter a value between 1 and 9.\n";
continue;
}

break;
}

cout<<n<<"! = "<<factorial(n) <<endl;
} else if (option == 2) {
while (true) {
cout<<"Enter an integer value for n (1-9): ";
getline(cin, input);

if (!validate(input)) {
cout<<"Invalid input. Please enter an integer value.\n";
continue;
}

n = stoi(input);

if (n < 1 || n > 9) {
cout<<"Invalid input. Please enter a value between 1 and 9.\n";
continue;
}

break;
}
while (true) {
cout<<"Enter an integer value for m (1-9): ";
getline(cin, input);

if (!validate(input)) {
cout<<"Invalid input. Please enter an integer value.\n";
continue;
}

m = stoi(input);

if (m < 1 || m > 9) {
cout<<"Invalid input. Please enter a value between 1 and 9.\n";
continue;
}

break;
}
 
cout<<n<<" to the power of "<<m<<" = "<<power(n, m) <<endl;
} else if (option == 3) { /* If the user has chosen option 3, the program prints a message and exits
the loop, ending the program. If the user has entered an invalid option, the program prints a message asking the user to enter a valid choice. */
 
cout<<"Math is fun. Programming is even more fun!\n";
cout<<"------------------------------------------\n";
break;
} else {
cout<<"Invalid option. Please enter a valid choice\n";
 
}
}
return0;
}
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