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Java project to learn advanced Data Structures and Algorithms

License: MIT License

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Challenge 7: Nested Loop with Multiplication (Pro)

Compute the big O complexity of the code snippet given below.

public static void main(String[] args) {
    int n = 10;   
		int sum = 0;  
    int j = 1;   
		double pie = 3.14; 

		for (int var = 0; var < n; var++) {  
      
			System.out.println("Pie: " + pie); 
			while(j < var) { 
        sum += 1;  
        j *= 2;  
      }
    } 
    System.out.println("Sum: " + sum); 
  }

Challenge 3: Big O of Nested Loop with Multiplication

Compute the Big O of an algorithm that involves nested loops, and increments the loop variables through multiplication.

public static void main(String[] args) {
		int n = 10; // O(time complexity of the called function)
		int sum = 0; //O(?)
		double pie = 3.14; //O(?)
		int var = 1; //O(?)

		while(var < n) {
			System.out.println("Pie: " + pie); //O(?)
			for (int j = 0; j < var; j++) {
				sum++; //O(?)
			}
			var *= 2;  //O(?)
		} //end of while loop
		System.out.println("Sum: " + sum); //O(?)
	}

Challenge 4: Nested Loop with Multiplication (Basic)

A basic exercise based on the Big(O) of an algorithm that involves nested loops and the loop variables increment with multiplication.

public static void main(String[] args) {
		int n = 10; // O(time complexity of the called function)
		int sum = 0; //O(1)
		double pie = 3.14; //O(1)
		int var = 1; //O(?)
		while(var < n) { 
			System.out.println("Pie: " + pie); 
				//O(?)
			for (int j = 1; j < n; j = j + 2) {   
				sum++;  
			}
			var *= 3;  
		} //end of while loop
		System.out.println("Sum: " + sum); //O(1)
	}

Challenge 6: Nested Loop with Multiplication (Advanced)

Compute the Big O complexity of the code snippet given below.

public static void main(String[] args) {
    int n = 10;   
		int sum = 0; 
		double pie = 3.14; 

		for (int var = 0; var < n; var++) {   
      int j = 1;  
			System.out.println("Pie: " + pie);
			while(j < var) { 
        sum += 1;  
        j *= 2;  
      }
    } //end of for loop
    System.out.println("Sum: " + sum); 
  }

Challenge 2: Big (O) of Nested Loop with Subtraction

Compute Big(O) of an algorithm that involves nested loops and the loop variables decrement.

public static void main(String[] args) {
    int n = 10; // O(time complexity of the called function)
    int sum = 0; //O(1)
    double pie = 3.14; //O(1)
    
    //O(?)
    for (int var = n; var >= 1; var = var - 3) {
      System.out.println("Pie: " + pie);
      //O(?)
      for (int j = n; j >= 0; j = j - 1) {
        sum++;
      }
    } //end of outer for loop
  System.out.println("Sum: " + sum);//O(1)
  }

Challenge 1: Big (O) of Nested Loop with Addition

Compute the Big O complexity of an algorithm that involves nested loops where the loop variables increase with addition.

public static void main(String[] args) {
    int n = 10;
    int sum = 0;
    double pie = 3.14;
    
    for (int var = 0; var < n; var = var + 3) {
      System.out.println("Pie: " + pie);
      for (int j = 0; j < n; j = j + 2) {
        sum++;
        System.out.println("Sum = " + sum);
      }
    }
  }

Challenge 5: Nested Loop with Multiplication (Intermediate)

Compute the Big O complexity of the code snippet given below. It is better to solve it on a piece of paper, and then see if your answer matches the correct option!

public static void main(String[] args) {
    int n = 10;    //O(1) 
    int sum = 0;  //O(1)
    int j = 1;   //O(1)
    double pie = 3.14;  //O(1) 
  
    //O(?)
    for (int var = 1; var < n; var += 3) {
      System.out.println("Pie: " + pie);
      j = 1;
      while (j < n) { //O(?)
        sum += 1;     
        j *= 3;       
      }
    }
    System.out.println("Sum: " + sum); //O(1)
	}

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