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  • Data structure basics

    • Stack & Queue Implementations
    1. FixedCapacityQueue
      1. package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class FixedCapacityQueue<T> {
            private int size;
            private int head;
            private int tail;
            private T[] items;
        
            FixedCapacityQueue(int cap) {
                this.size = cap;
                this.head = this.tail = 0;
                this.items = (T[]) new Object[cap];
            }
        
            private void enqueue(T item) throws Exception {
                if ((this.tail + 1) % this.size == this.head) {
                    throw new Exception();
                }
        
                this.items[this.tail] = item;
                this.tail = (this.tail + 1) % this.size;
            }
        
            private T dequeue() throws Exception {
                if (this.head >= this.size || this.head == this.tail) {
                    throw new Exception();
                }
                T node =  this.items[this.head];
                this.head = (this.head + 1) % this.size;
                return node;
            }
        
            public static void main(String[] args) throws Exception {
                FixedCapacityQueue<String> queue = new FixedCapacityQueue<>(4);
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex"};
                for (String s :
                        tstCases) {
                    queue.enqueue(s);
                }
        
                queue.dequeue();
                queue.enqueue("Bob");
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = queue.dequeue();
                outputVerified[1] = queue.dequeue();
                outputVerified[2] = queue.dequeue();
        
                tstCases = new String[]{"Tina", "Alex", "Bob"};
        
                for (int i = 0; i < 3; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
        
    2. FixedCapacityStack
      1. package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class FixedCapacityStack<T> {
            private int size;
            private int index;
            private T[] items;
        
            FixedCapacityStack(int cap) {
                this.size = cap;
                this.index = 0;
                this.items = (T[]) new Object[cap];
            }
        
            private void push(T item) throws Exception {
                if (this.index == this.size) {
                    throw new Exception();
                }
        
                this.items[this.index++] = item;
            }
        
            private T pop() throws Exception {
                if (this.index == 0) {
                    throw new Exception();
                }
        
                return this.items[--this.index];
            }
        
            public static void main(String[] args) throws Exception {
                FixedCapacityStack<String> stack = new FixedCapacityStack<>(3);
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex"};
                for (String s :
                        tstCases) {
                    stack.push(s);
                }
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = stack.pop();
                outputVerified[1] = stack.pop();
                outputVerified[2] = stack.pop();
        
                for (int i = 0; i < 3; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[2 - i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
        
    3. ResizingArrayQueue
      1. package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        import static java.lang.Math.min;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class ResizingArrayQueue<T> {
            private int size;
            private int head;
            private int tail;
            private T[] items;
        
            ResizingArrayQueue(int cap) {
                this.size = cap;
                this.head = this.tail = 0;
                this.items = (T[]) new Object[cap];
            }
        
            private void resize(int newCapacity) {
                T[] newItems = (T[]) new Object[newCapacity];
                for (int i = 0; i < min(this.size, newCapacity); ++i) {
                    newItems[i] = this.items[i];
                }
                this.size = newCapacity;
                this.items = newItems;
            }
        
            private void enqueue(T item) throws Exception {
                if (this.tail == this.size) {
                    resize(this.size * 2);
                }
        
                this.items[this.tail++] = item;
            }
        
            private T dequeue() throws Exception {
                if (this.head >= this.size || this.head == this.tail) {
                    throw new Exception();
                }
        
                int length = this.tail - this.head;
                if (length * 4 <= this.size) {
                    for (int i = this.head; i < this.tail; ++i) {
                        this.items[i - this.head] = this.items[i];
                    }
                    resize(this.size / 2);
                    this.tail = this.tail - this.head;
                    this.head = 0;
                }
        
                return this.items[this.head++];
            }
        
            public static void main(String[] args) throws Exception {
                ResizingArrayQueue<String> queue = new ResizingArrayQueue<>(3);
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex", "Lilith", "Bob"};
                for (String s :
                        tstCases) {
                    queue.enqueue(s);
                }
        
                queue.dequeue();
                queue.dequeue();
                queue.dequeue();
                queue.dequeue();
                queue.dequeue();
        
                tstCases = new String[]{"Lydia", "Tina", "Alex", "Lilith", "Bob"};
                for (String s :
                        tstCases) {
                    queue.enqueue(s);
                }
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = queue.dequeue();
                outputVerified[1] = queue.dequeue();
                outputVerified[2] = queue.dequeue();
                outputVerified[3] = queue.dequeue();
                outputVerified[4] = queue.dequeue();
        
                for (int i = 0; i < 5; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
        
    4. ResizingArrayStack
      1. package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        import static java.lang.Math.min;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class ResizingArrayStack<T> {
            private int size;
            private int index;
            private T[] items;
        
            ResizingArrayStack(int cap) {
                this.size = cap;
                this.index = 0;
                this.items = (T[]) new Object[cap];
            }
        
            private void resize(int newCapacity) {
                T[] newItems = (T[]) new Object[newCapacity];
                for (int i = 0; i < min(this.size, newCapacity); ++i) {
                    newItems[i] = this.items[i];
                }
                this.size = newCapacity;
                this.items = newItems;
            }
        
            private void push(T item) throws Exception {
                if (this.index == this.size) {
                    resize(this.size * 2);
                }
        
                this.items[this.index++] = item;
            }
        
            private T pop() throws Exception {
                if (this.index == 0) {
                    throw new Exception();
                }
        
                if (this.index * 4 <= this.size) {
                    resize(this.size / 2);
                }
        
                return this.items[--this.index];
            }
        
            public static void main(String[] args) throws Exception {
                ResizingArrayStack<String> stack = new ResizingArrayStack<>(5);
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex", "Bob", "Lilith"};
                for (String s :
                        tstCases) {
                    stack.push(s);
                }
        
                stack.pop();
                stack.pop();
                stack.pop();
                stack.pop();
                stack.pop();
        
                tstCases = new String[]{"Lydia", "Tina", "Alex", "Bob", "Lilith"};
                for (String s :
                        tstCases) {
                    stack.push(s);
                }
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = stack.pop();
                outputVerified[1] = stack.pop();
                outputVerified[2] = stack.pop();
                outputVerified[3] = stack.pop();
                outputVerified[4] = stack.pop();
        
                for (int i = 0; i < 5; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[4 - i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
    5. LinkedListQueue

      1. package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class LinkedListQueue<T> {
            private class Node{
                private T item;
                private Node next;
        
                Node(T item, Node next) {
                    this.item = item;
                    this.next = next;
                }
            }
        
            private Node head;
            private Node tail;
        
            LinkedListQueue() {
                this.head = this.tail = null;
            }
        
            private void enqueue(T item) {
                Node newNode = new Node(item, null);
        
                if (this.tail == null) {
                    this.head = this.tail = newNode;
                } else {
                    this.tail.next = newNode;
                    this.tail = newNode;
                }
            }
        
            private T dequeue() throws Exception {
                if (this.head == null) {
                    throw new Exception();
                }
        
                Node retNode = this.head;
                this.head = this.head.next;
                return retNode.item;
            }
        
            public static void main(String[] args) throws Exception {
                LinkedListQueue<String> queue = new LinkedListQueue<>();
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex"};
                for (String s :
                        tstCases) {
                    queue.enqueue(s);
                }
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = queue.dequeue();
                outputVerified[1] = queue.dequeue();
                outputVerified[2] = queue.dequeue();
        
                for (int i = 0; i < 3; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
        
    6. LinkedListStack
      1.   
        package cn.edu.tsinghua.stat.mid_term;
        
        import java.util.Objects;
        
        /**
         * Created by shuaiyi on 04/11/2017.
         */
        public class LinkedListStack<T> {
            private class Node{
                private T item;
                private Node next;
        
                Node(T item, Node next) {
                    this.item = item;
                    this.next = next;
                }
            }
        
            private Node head;
        
            private void push(T item) {
                this.head = new Node(item, this.head);
            }
        
            private T pop() {
                T value = this.head.item;
                this.head = this.head.next;
                return value;
            }
        
            public static void main(String[] args) {
                LinkedListStack<String> stack = new LinkedListStack<>();
                String[] tstCases = new String[]{"Lydia", "Tina", "Alex"};
                for (String s :
                        tstCases) {
                    stack.push(s);
                }
        
                String[] outputVerified = new String[tstCases.length];
                outputVerified[0] = stack.pop();
                outputVerified[1] = stack.pop();
                outputVerified[2] = stack.pop();
        
                for (int i = 0; i < 3; ++i) {
                    if (Objects.equals(outputVerified[i], tstCases[2 - i])) {
                        System.out.println("Test " + i + "#: succeeded");
                    } else {
                        System.out.println("Test " + i + "#: failed");
                    }
                }
            }
        }
    • Basic Sorting Algorithm Implementations

    1. package cn.edu.tsinghua.stat.mid_term;
      
      /**
       * Created by shuaiyi on 04/11/2017.
       */
      public class InsertionSort {
          private void swap(Comparable[] a, int i, int j) {
              Comparable tmp = a[i];
              a[i] = a[j];
              a[j] = tmp;
          }
      
          private static boolean less(Comparable v, Comparable w) {
              return v.compareTo(w) < 0;
          }
      
          private void sort(Comparable[] a) {
              for (int i = 1; i < a.length; ++i) {
                  for (int j = i; j > 0 && less(a[j], a[j - 1]); --j) {
                      swap(a, j, j - 1);
                  }
              }
          }
      
          public static void main(String[] args) {
              InsertionSort insertionSort = new InsertionSort();
      
              String[] a = new String[]{"54", "23", "98", "67", "12", "32", "23", "55", "98", "94"};
      
              insertionSort.sort(a);
      
              for (String item :
                      a) {
                  System.out.print(item + ", ");
              }
          }
      }
      InsertionSort
    2. package cn.edu.tsinghua.stat.mid_term;
      
      import static java.lang.Math.min;
      
      /**
       * Created by shuaiyi on 04/11/2017.
       */
      public class SelectionSort {
      
          private void swap(Comparable[] a, int i, int j) {
              Comparable tmp = a[i];
              a[i] = a[j];
              a[j] = tmp;
          }
      
          private void sort(Comparable[] a) {
              int i, j;
              for (i = 0; i < a.length; ++i) {
                  int curMinIndex = i;
                  for (j = i + 1; j < a.length; ++j) {
                      if (less(a[j], a[curMinIndex])) {
                          curMinIndex = j;
                      }
                  }
      
                  if (curMinIndex != i) {
                      swap(a, i, curMinIndex);
                  }
              }
          }
      
          private static boolean less(Comparable v, Comparable w) {
              return v.compareTo(w) < 0;
          }
      
          public static void main(String[] args) {
              SelectionSort selectionSort = new SelectionSort();
      
              String[] a = new String[]{"54", "23", "98", "67", "12", "32", "23", "55", "98", "94"};
      
              selectionSort.sort(a);
      
              for (String item :
                      a) {
                  System.out.print(item + ", ");
              }
          }
      
      }
      SelectionSort
    3. package cn.edu.tsinghua.stat.mid_term;
      
      /**
       * Created by shuaiyi on 04/11/2017.
       */
      public class MergeSort {
      
          private Comparable[] aux;
      
          public MergeSort(int cap) {
              aux = new Comparable[cap];
          }
      
          private void swap(Comparable[] a, int i, int j) {
              Comparable tmp = a[i];
              a[i] = a[j];
              a[j] = tmp;
          }
      
          private static boolean less(Comparable v, Comparable w) {
              return v.compareTo(w) < 0;
          }
      
          private void sort(Comparable[] a) {
              sort(a, 0, a.length - 1);
          }
      
          private void sort(Comparable[] a, int low, int high) {
              if (low >= high) {
                  return;
              }
              int mid = (low + high) / 2;
              sort(a, low, mid);
              sort(a, mid + 1, high);
              merge(a, low, high);
          }
      
          private void merge(Comparable[] a, int low, int high) {
              int mid = (low + high) / 2;
              int lft_index = low;
              int right_index = mid + 1;
      
              for (int k = low; k <= high; ++k) {
                  this.aux[k] = a[k];
              }
      
              int flag = lft_index;
              while(lft_index <= mid && right_index <= high) {
                  if (less(this.aux[lft_index], this.aux[right_index])) {
                      a[flag++] = this.aux[lft_index++];
                  } else {
                      a[flag++] = this.aux[right_index++];
                  }
              }
      
              while(lft_index <= mid) {
                  a[flag++] = this.aux[lft_index++];
              }
      
              while(right_index <= high) {
                  a[flag++] = this.aux[right_index++];
              }
          }
      
          private void officialMerge(Comparable[] a, int low, int high) {
              int mid = (low + high) / 2;
              int i = low;
              int j = mid + 1;
      
              for (int k = low; k <= high; ++k) {
                  this.aux[k] = a[k];
              }
      
              for (int k = low; k <= high; ++k) {
                  if (i > mid) {
                      a[k] = this.aux[j++];
                  } else if (j > high) {
                      a[k] = this.aux[i++];
                  } else if (less(this.aux[j], this.aux[i])) {
                      a[k] = this.aux[j++];
                  } else {
                      a[k] = this.aux[i++];
                  }
              }
          }
      
          public static void main(String[] args) {
      
              String[] a = new String[]{"8", "3", "1", "4", "6", "5", "9", "7", "2", "0"};
      
              MergeSort mergeSort = new MergeSort(a.length);
      
              mergeSort.sort(a);
      
              for (String item :
                      a) {
                  System.out.print(item + ", ");
              }
          }
      }
      MergeSort
    4. package cn.edu.tsinghua.stat.mid_term;
      
      /**
       * Created by shuaiyi on 04/11/2017.
       */
      public class QuickSort {
          private void swap(Comparable[] a, int i, int j) {
              Comparable tmp = a[i];
              a[i] = a[j];
              a[j] = tmp;
          }
      
          private static boolean less(Comparable v, Comparable w) {
              return v.compareTo(w) < 0;
          }
      
      
          private void sort(Comparable[] a) {
              sort(a, 0, a.length - 1);
          }
      
          private void sort(Comparable[] a, int lft, int rht) {
              if (lft >= rht) {
                  return;
              }
              int mid = partition(a, lft, rht);
              sort(a, lft, mid);
              sort(a, mid + 1, rht);
          }
      
          private int partition(Comparable[] a, int lft, int rht) {
              int mid = (lft + rht) / 2;
              int cnt = 0;
              for (int k = lft; k <= rht; ++k) {
                  if (less(a[k], a[mid])) {
                      ++cnt;
                  }
              }
      
              if (cnt + lft != mid) {
                  swap(a, cnt + lft, mid);
              }
      
              mid = cnt + lft;
              int less_index = lft;
              int more_index = mid + 1;
              while (less_index < mid && more_index <= rht) {
                  if (less(a[less_index], a[mid])) {
                      less_index++;
                  } else{
                      swap(a, less_index, more_index);
                      more_index++;
                  }
              }
      
              return mid;
          }
      
          private int officalPartition(Comparable[] a, int lo, int hi) {
              int i = lo, j = hi + 1;
              Comparable v = a[lo];
              while (true) {
                  while (less(a[++i], v)) if (i == hi) break;
                  while (less(v, a[--j])) if (j == lo) break;
                  if (i >= j) break;
                  swap(a, i, j);
              }
      
              swap(a, lo, j);
              return j;
          }
      
          public static void main(String[] args) {
      
              String[] a = new String[]{"8", "3", "1", "4", "6", "5", "9", "7", "2", "0"};
      
              QuickSort quickSort = new QuickSort();
      
              quickSort.sort(a);
      
              for (String item :
                      a) {
                  System.out.print(item + ", ");
              }
          }
      }
      QuickSort
    5. package cn.edu.tsinghua.stat.mid_term;
      
      /**
       * Created by shuaiyi on 04/11/2017.
       */
      public class MaxPQ<T extends Comparable<T>> {
      
          private int N = 0;
          private T[] pq;
      
          MaxPQ(int cap) {
              this.pq = (T[]) new Comparable[cap + 1];
          }
      
          public void insert(T item) {
              this.pq[++N] = item;
              swim(N);
          }
      
          public T delMax() {
              T maxNode = this.pq[1];
              swap(this.pq, 1, N);
              this.pq[N] = null;
              N--;
              sink(1);
              return maxNode;
          }
      
          public void swap(Comparable[] a, int i, int j) {
              Comparable tmp = a[i];
              a[i] = a[j];
              a[j] = tmp;
          }
      
          public static boolean less(Comparable v, Comparable w) {
              return v.compareTo(w) < 0;
          }
      
          public void swim(int k) {
              while(k > 1 && less(this.pq[k / 2], this.pq[k])) {
                  swap(this.pq, k/2, k);
                  k /= 2;
              }
          }
      
          public void sink(int k) {
              while(k * 2 <= N) {
                  int child = k * 2;
                  if (child + 1 <= N && less(this.pq[child], this.pq[child + 1])) {
                      child = k * 2 + 1;
                  }
                  if (less(this.pq[k], this.pq[child])) {
                      swap(this.pq, k, child);
                      k = child;
                  } else {
                      break;
                  }
              }
          }
      
          public void officialSink(int k) {
              while(2 * k <=N) {
                  int j = 2 * k;
                  if (j < N && less(pq[j], pq[j + 1])) j++;
                  if (!less(pq[k], pq[j])) break;
                  swap(pq, k, j);
                  k = j;
              }
          }
      
          public String[] sort() {
              String[] res = new String[this.N];
              int flag = 0;
              while (N > 0) {
                  res[flag++] = (String)delMax();
              }
              return res;
          }
      
          public static void main(String[] args) {
      
              String[] a = new String[]{"8", "3", "1", "4", "6", "5", "9", "7", "2", "0"};
      
              MaxPQ<String> maxPQ = new MaxPQ<>(a.length);
      
              for (String s :
                      a) {
                  maxPQ.insert(s);
              }
      
              String[]b  = maxPQ.sort();
      
              for (String item :
                      b) {
                  System.out.print(item + ", ");
              }
          }
      }
      MaxPQ

         

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  • 原文地址:https://www.cnblogs.com/wushuaiyi/p/7787657.html
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