Implement the functions marked with ???       package iterators:   /**    * Returns an iterator that generates the prime numbers    * 1,2,3,5,7,11,13,17,19,23,...    * (Strictly speaking, 1 is not considered prime in most of the modern definitions as including it causes problems in some other definitions but let's consider it to be a prime in this exercise.)    */   def primesIterator: Iterator[Int] = new Iterator[Int]:     /* You'll need some private var or val to store the internal state.      * Put it/them here */         /**      * There is always the next prime number.      * In reality, we should return false when the next prime would be larger than that can      * be represented with an Int but, for the sake of focusing the exercise on the essential parts,      * this consideration is not required for getting the points.      */     def hasNext = true     /**      * Get the next prime number.      * The first call should return 1, the next 2, then 3, 5, 7, 11 and so on.      *      * These numbers must be computed by the code here, one is not allowed to pre-compute and      * store them in an Array or similar data structure.      */     def next(): Int =       ???     end next   end primesIterator   /**    * Return a new iterator whose "next" method returns randomly an element that    * - is in the non-empty constructor argument set s, and    * - has not been returned during the blockingTime last calls to "next".    * That is, after being selected and returned by "next", an element is blocked in the    * the "blockingTime" subsequent calls to "next".    * The argument seed is the seed given to the pseudo-random number generator    * (fix it to have repeatable runs and set to System.nanoTime etc to have true pseudo-random sequences).    */   def blockingRandomIterator[T](s: Set[T], blockingTime: Int, seed: Int = 2105): Iterator[T] = new Iterator[T]:     require(0 <= blockingTime && blockingTime < s.size)     /* Pseudo-random number generator.      * See http://www.scala-lang.org/api/current/index.html#scala.util.Random */     val r = new scala.util.Random(seed)     /* You'll need some var or val to store the internal state.      *      * Perhaps a queue to keep track of the blocked elements?      * See http://en.wikipedia.org/wiki/Queue_%28abstract_data_type%29 and      * http://docs.scala-lang.org/overviews/collections/concrete-mutable-collection-classes.html      *      * And perhaps a mutable Buffer to store the elements that are not blocked?      * By the way, a fast method to remove an element at index i from an unordered buffer      * is to just replace that element with the last element of the buffer and then shrink      * the buffer by dropping the last element (which is now a copy of the one in the i:th position)      * with dropRightInPlace(1)      *      * Put your state vars/vals here. */         /** There is always the next element */     def hasNext = true     /** Returns a random, non-blocked element */     def next(): T =       ???     end next   end blockingRandomIterator

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Implement the functions marked with ???
 
 
 
package iterators:

  /**
   * Returns an iterator that generates the prime numbers
   * 1,2,3,5,7,11,13,17,19,23,...
   * (Strictly speaking, 1 is not considered prime in most of the modern definitions as including it causes problems in some other definitions but let's consider it to be a prime in this exercise.)
   */
  def primesIterator: Iterator[Int] = new Iterator[Int]:
    /* You'll need some private var or val to store the internal state.
     * Put it/them here */
   

    /**
     * There is always the next prime number.
     * In reality, we should return false when the next prime would be larger than that can
     * be represented with an Int but, for the sake of focusing the exercise on the essential parts,
     * this consideration is not required for getting the points.
     */
    def hasNext = true

    /**
     * Get the next prime number.
     * The first call should return 1, the next 2, then 3, 5, 7, 11 and so on.
     *
     * These numbers must be computed by the code here, one is not allowed to pre-compute and
     * store them in an Array or similar data structure.
     */
    def next(): Int =
      ???
    end next
  end primesIterator

  /**
   * Return a new iterator whose "next" method returns randomly an element that
   * - is in the non-empty constructor argument set s, and
   * - has not been returned during the blockingTime last calls to "next".
   * That is, after being selected and returned by "next", an element is blocked in the
   * the "blockingTime" subsequent calls to "next".
   * The argument seed is the seed given to the pseudo-random number generator
   * (fix it to have repeatable runs and set to System.nanoTime etc to have true pseudo-random sequences).
   */
  def blockingRandomIterator[T](s: Set[T], blockingTime: Int, seed: Int = 2105): Iterator[T] = new Iterator[T]:
    require(0 <= blockingTime && blockingTime < s.size)
    /* Pseudo-random number generator.
     * See http://www.scala-lang.org/api/current/index.html#scala.util.Random */
    val r = new scala.util.Random(seed)

    /* You'll need some var or val to store the internal state.
     *
     * Perhaps a queue to keep track of the blocked elements?
     * See http://en.wikipedia.org/wiki/Queue_%28abstract_data_type%29 and
     * http://docs.scala-lang.org/overviews/collections/concrete-mutable-collection-classes.html
     *
     * And perhaps a mutable Buffer to store the elements that are not blocked?
     * By the way, a fast method to remove an element at index i from an unordered buffer
     * is to just replace that element with the last element of the buffer and then shrink
     * the buffer by dropping the last element (which is now a copy of the one in the i:th position)
     * with dropRightInPlace(1)
     *
     * Put your state vars/vals here. */

   
    /** There is always the next element */
    def hasNext = true

    /** Returns a random, non-blocked element */
    def next(): T =
      ???
    end next

  end blockingRandomIterator
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