#include <iostream>
#include <vector>

using namespace std;

// Function to permute array based on given permutation
vector<int> permute(const vector<int>& a, const vector<int>& b) {
    int n = b.size();
    vector<int> result(n);
    for (int i = 0; i < n; i++) {
        result[i] = b[a[i] - 1]; // Note: a is 1-based, b is also treated as 1-based
    }
    return result;
}

// Function to check if we can obtain permutation Q with given constraints
bool canObtainPermutation(const vector<int>& P, const vector<int>& Q, int y) {
    int n = Q.size();
    
    // Check all possible numbers of Type 1 operations (k)
    for (int k = 0; k <= n; k++) {

        vector<int> current = Q;
        
        for (int j = 0; j < k; j++) {
            current = permute(P, current);
        }

        // Now apply Type 2 operation (identity) - which has no effect
        // Apply Type 1 operations y times
        for (int j = 0; j < y; j++) {
            current = permute(P, current);
        }

        // Now, we apply the second Type 2 operation (identity) - which has no effect
        // Final check after applying another Type 1 operation k times
        for (int j = 0; j < k; j++) {
            current = permute(P, current);
        }

        // Check if we reached the final permutation Q
        if (current == Q) {
            return true;
        }
    }
    return false;
}

int main() {
    int n, m, y;
    cin >> n >> m >> y;
    
    vector<int> P(n), Q(n);
    
    for (int i = 0; i < n; i++){  
      cin >> P[i];
    }

    for (int i = 0; i < n; i++) {
        cin >> Q[i];
    }

    // Validate the condition for 2 Type 2 operations
    if (m < 2 +  y) {
        cout << "NO" << endl;
        return 0;
    }

    // Check if Q can be obtained from P with given constraints
    bool result = canObtainPermutation(P, Q, y);
    cout << (result ? "YES" : "NO") << endl;

    return 0;
}

C++ Online Compiler

Write, Run & Share C++ code online using OneCompiler's C++ online compiler for free. It's one of the robust, feature-rich online compilers for C++ language, running on the latest version 17. Getting started with the OneCompiler's C++ compiler is simple and pretty fast. The editor shows sample boilerplate code when you choose language as C++ and start coding!

Read inputs from stdin

OneCompiler's C++ online compiler supports stdin and users can give inputs to programs using the STDIN textbox under the I/O tab. Following is a sample program which takes name as input and print your name with hello.

#include <iostream>
#include <string>
using namespace std;

int main() 
{
    string name;
    cout << "Enter name:";
    getline (cin, name);
    cout << "Hello " << name;
    return 0;
}

About C++

C++ is a widely used middle-level programming language.

  • Supports different platforms like Windows, various Linux flavours, MacOS etc
  • C++ supports OOPS concepts like Inheritance, Polymorphism, Encapsulation and Abstraction.
  • Case-sensitive
  • C++ is a compiler based language
  • C++ supports structured programming language
  • C++ provides alot of inbuilt functions and also supports dynamic memory allocation.
  • Like C, C++ also allows you to play with memory using Pointers.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition If-Else is used.

if(conditional-expression) {
   //code
}
else {
   //code
}

You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to If-Else-If ladder.

switch(conditional-expression){    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
......    
    
default:     
 code to be executed when all the above cases are not matched;    
}

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  //code  
}

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while (condition) {  
// code 
}

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {  
 // code 
} while (condition);

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.

How to declare a Function:

return_type function_name(parameters);

How to call a Function:

function_name (parameters)

How to define a Function:

return_type function_name(parameters) {  
 // code
}