从下面的代码中我的问题很简单，如何实现找到中间值后将搜索出现相同项的算法？假设数据已排序。
非常感谢你们帮助我根据下面的代码实施。 我有一些方法，例如添加指数搜索之类的额外功能，但恐怕会破坏算法的时间复杂度。
我希望你们实现一个算法，该算法可以查找多个相同的项目并计算它们的出现，并且它可以使下面代码的时间复杂度保持为O（LOG N） < / p>
private boolean binarySearchComparator(TYPE key) {
int low = 0;
int high = count - 1;
while (low <= high) {
int mid = (low + high) / 2;
TYPE midVal = list[mid];
int cmp = comparator.compare(midVal, key);
if (cmp < 0)
low = mid + 1;
else if (cmp > 0)
high = mid - 1;
else
return true;
}
}
我的完整代码在这里。
排序列表界面
public interface SortedListInterface <TYPE extends Comparable<TYPE>> {
public boolean add(TYPE element);
public TYPE get(int index);
public int search(TYPE element);
public TYPE remove(int index);
public void clear();
public int getLength();
public boolean isEmpty();
public boolean isFull();
}
SearchComparator类
public class MobileSearch implements Comparator<Student>{
private String type;
public void setType(String type) {
this.type = type;
}
public String getType() {
return type;
}
@Override
public int compare(Student student1, Student student2) {
int result = 0;
if(this.type.equals("mobile")){
result = student1.getMobileNo().compareTo(student2.getMobileNo());
System.out.print(result+"mobile");
}
else if(this.type.equals("name")){
result = student1.getName().getFullName().compareTo(student2.getName().getFullName());
System.out.println(result+"name");
}
else if(this.type.equals("group")){
result = student1.getGroup().compareTo(student2.getGroup());
System.out.print(result+"group");
}
return result;
}
}
SortedArrayList实现
public class SortedArrayList<TYPE extends Comparable<TYPE>> implements SortedListInterface<TYPE>{
//Data Types
private TYPE[] list;
private int length;
private static final int SIZE = 10;
private Comparator<? super TYPE> comparator;
private int count;
@SuppressWarnings("unchecked")
public SortedArrayList(Comparator<? super TYPE> c) {
comparator = c;
list = (TYPE[]) new Comparable[SIZE]; // No way to verify that 'list' only contains instances of 'T'.
/* NOTE: Following is not allowed.
list = new T[SIZE]; // Cannot create a generic array of T
*/
}
// Constructors
public SortedArrayList() {
this(SIZE);
}
public SortedArrayList(int size) {
length = 0;
list = (TYPE[]) new Comparable[SIZE]; // an array of instances of a class implementing Comparable interface and able to use compareto method but its overidden instead
}
// Setter & Getters
@Override
public int getLength() {
return length;
}
@Override
public boolean isEmpty() {
return length == 0;
}
@Override
public boolean isFull() {
return false;
}
@Override
public void clear() {
length = 0;
}
// Array Expansion
private boolean isArrayFull() {
return length == list.length;
}
private void expandArray() {
TYPE[] oldList = list;
int oldSize = oldList.length;
list = (TYPE[]) new Object[2 * oldSize];
for (int i = 0; i < oldSize; i++) // copy old array elements into new array elements
list[i] = oldList[i];
}
// ADT METHODs
// Add New Elements Function
@Override
// public boolean add(TYPE element) {
// int i = 0;
//
// while (i < length && element.compareTo(list[i]) > 0) // return 0 with equal , return more than 1 if element larger than list[i] , return -1 if less
// {
// i++;
// }
//
// makeRoom(i + 1);
// list[i] = element;
// length++;
// return true;
// }
public boolean add(TYPE element) {
boolean result = false;
if (count == 0) {
list[0] = element;
count = 1;
result = true;
}
else {
if (!isFull()) {
int i = 0;
while (list[i] != null) {
if (element.compareTo(list[i]) < 0) {
break;
}
i++;
}
if (list[i] != null) {
for (int j = count - 1; j >= i; j--) {
list[j + 1] = list[j];
}
}
list[i] = element;
count++;
result = true;
}
}
return result;
}
private void makeRoom(int index) { // accepts given index
int newIndex = index - 1;
int lastIndex = length - 1;
for (int i = lastIndex; i >= newIndex; i--)
list[i + 1] = list[i];
}
//Remove Elements Function
@Override
public TYPE remove(int index) { // accepts given index
TYPE result = null;
if ( index >= 1 && index <= length ) {
result = list[index - 1];
if (index < length)
removeGap(index);
length--;
}
return result;
}
private void removeGap(int index) { // accepts given index and remove the gap where the element its removed
int removedIndex = index - 1;
int lastIndex = length - 1;
for (int i = removedIndex; i < lastIndex; i++)
list[i] = list[i + 1]; // shifts elements back to remove the gap
}
// Get Element
@Override
public TYPE get(int index) { // accepts given index and return the object
TYPE object = null;
if ( index >= 1 && index <= length)
object = list[index - 1];
return object;
}
// Search Algorithms
@Override
// public boolean search(TYPE element) {
// boolean found = false;
//
// int lo = 0;
// int hi = count - 1;
//
// while (lo <= hi) {
// int mid = (lo + hi) / 2;
// if (list[mid].compareTo(element) < 0) {
// lo = mid + 1;
// }
// else if (list[mid].compareTo(element) > 0) {
// hi = mid - 1;
// }
// else if (list[mid].compareTo(element) == 0) {
// found = true;
// break;
// }
// return found
// }
public int search(TYPE element) {
return exponentialSearch(element);
}
private boolean binarySearchComparable(TYPE element) {
boolean found = false;
int lo = 0;
int hi = count - 1;
while (lo <= hi) {
int mid = (lo + hi) / 2;
if (list[mid].compareTo(element) < 0) {
lo = mid + 1;
}
else if (list[mid].compareTo(element) > 0) {
hi = mid - 1;
}
else if (list[mid].compareTo(element) == 0) {
found = true;
break;
}
}
System.out.print("Single");
return found;
}
private int exponentialSearch(TYPE key){
int ind = binarySearchComparator(key);
// If element is not present
if (ind == -1)
return -1;
// Count elements on left side.
int count = 1;
int left = ind - 1;
int i = 1;
while (left >= 0 && (comparator.compare(list[left], key)) == 0)
{
// lol[i] = list[left];
System.out.println(left+"lefttest");
i++;
count++;
left--;
}
// Count elements
// on right side.
int right = ind + 1;
try{
while (right < list.length && (comparator.compare(list[right], key)) == 0)
{
System.out.println(right+"righttest");
// lol[i] = arr[right];
i++;
count++;
right++;
}
}catch(Exception e){
}
return count;
}
private int binarySearchComparator(TYPE key) {
int low = 0;
int high = count - 1;
while (low <= high) {
int mid = (low + high) / 2 ;
TYPE midVal = list[mid];
int cmp = comparator.compare(midVal, key);
if (cmp < 0)
low = mid + 1;
else if (cmp > 0)
high = mid - 1;
else
return mid; // key found
}
return -1; // key not found.
}
//To String Method
@Override
public String toString() {
String result = "";
for (int i = 0; i < count; i++)
result += list[i] + "\n";
return result;
}
}
姓名类别
public class Name {
// Data Types
private String firstName;
private String lastName;
// Constructors
public Name() {
}
public Name(String firstName, String lastName) {
this.firstName = firstName;
this.lastName = lastName;
}
// setter
public void setFirstName(String firstName) {
this.firstName = firstName;
}
public void setLastName(String lastName) {
this.lastName = lastName;
}
// getter
public String getFirstName() {
return firstName;
}
public String getLastName() {
return lastName;
}
public String getFullName(){
return firstName + " " + lastName;
}
@Override
public String toString() {
return "Name{" + "firstName=" + firstName + ", lastName=" + lastName + '}';
}
}
学生班
public class Student implements Comparable<Student>{
// Data Types
private String studID;
private Name name;
private String gender;
private String icNo;
private String mobileNo;
private Course course;
private String group;
private String dOB;
// Constructors
public Student() {
}
public Student(String studID, Name name, String gender, String icNo, String mobileNo, Course course, String group, String dOB) {
this.studID = studID;
this.name = name;
this.gender = gender;
this.icNo = icNo;
this.mobileNo = mobileNo;
this.course = course;
this.group = group;
this.dOB = dOB;
}
public Student(Name name) {
this.name = name;
}
// setter
public void setStudID(String studID) {
this.studID = studID;
}
public void setName(Name name) {
this.name = name;
}
public void setGender(String gender) {
this.gender = gender;
}
public void setIcNo(String icNo) {
this.icNo = icNo;
}
public void setMobileNo(String mobileNo) {
this.mobileNo = mobileNo;
}
public void setCourse(Course course) {
this.course = course;
}
public void setGroup(String group) {
this.group = group;
}
public void setdOB(String dOB) {
this.dOB = dOB;
}
// getter
public String getStudID() {
return studID;
}
public Name getName() {
return name;
}
public String getGender() {
return gender;
}
public String getIcNo() {
return icNo;
}
public String getMobileNo() {
return mobileNo;
}
public Course getCourse() {
return course;
}
public String getGroup() {
return group;
}
public String getdOB() {
return dOB;
}
@Override
public String toString() {
return "Student{" + "name=" + name + ", gender=" + gender + ", icNo=" + icNo + ", mobileNo=" + mobileNo + ", course=" + course + ", group=" + group + ", dOB=" + dOB + '}';
}
@Override
public int compareTo(Student object) { // Sort according to name if name same then sort according to gender and so on.
int c = this.name.getFullName().compareTo(object.getName().getFullName());
if(c == 0)
c = this.gender.compareTo(object.getGender());
if(c == 0)
c = this.icNo.compareTo(object.getIcNo());
if(c == 0)
c = this.mobileNo.compareTo(object.getMobileNo());
if(c == 0)
c = this.group.compareTo(object.getGroup());
if(c == 0)
c = this.dOB.compareTo(object.getdOB());
return c;
}
public static Student[] sort(Student[] object,String category){
Student[] array;
if(category.equals("ID")){
for (int i=1; i < object.length; i++) {
for(int j = 0 ; j < object.length - i ; j++)
if( (object[j].getGender().compareTo(object[j+1].getGender())) > 0 ){
Student lol = object[j];
object[j] = object[j+1];
object[j+1] = lol;
}
}
}
array = object;
return array;
}
}
课程等级
public class Course {
// Data Types
private String courseCode;
private String courseName;
private double courseFee;
// Constructors
public Course() {
}
public Course(String courseCode, String courseName, double courseFee) {
this.courseCode = courseCode;
this.courseName = courseName;
this.courseFee = courseFee;
}
// setter
public void setCourseCode(String courseCode) {
this.courseCode = courseCode;
}
public void setCourseName(String courseName) {
this.courseName = courseName;
}
public void setCourseFee(double courseFee) {
this.courseFee = courseFee;
}
// getter
public String getCourseCode() {
return courseCode;
}
public String getCourseName() {
return courseName;
}
public double getCourseFee() {
return courseFee;
}
@Override
public String toString() {
return "CourseCode = " + courseCode + "Course Name = " + courseName + "Course Fee = " + courseFee;
}
}
答案 0 :(得分：0)
通过查找列表中元素的最小和最大索引，可以使用二元搜索找到有序数组/列表中元素的出现次数。
我编写了两个函数（由于没有代码的其余部分，所以未经测试），这两个函数可以分别找到列表中元素的最小和最大索引
private int getMinIdx(TYPE key, int low, int high) {
int lowVal = list[low];
if ((low == high) || (low == high-1)) {
if (comparator.compare(lowVal, key) == 0) {
return low;
} else {
return high;
}
}
int mid = (low + high) / 2;
int midVal = list[mid];
int cmp = comparator.compare(midVal, key);
if (cmp < 0) {
return getMinIdx(key, mid, high);
} else {
return getMinIdx(key, low, mid);
}
}
private int getMaxIdx(TYPE key, int low, int high) {
int highVal = list[high];
if ((low == high) || (low == high-1)) {
if (comparator.compare(highVal, key) == 0) {
return high;
} else {
return low;
}
}
int mid = (low + high) / 2;
int midVal = list[mid];
int cmp = comparator.compare(midVal, key);
if (cmp > 0) {
return getMaxIdx(key, low, mid);
} else {
return getMaxIdx(key, mid, high);
}
}
请注意，当且仅当元素位于列表中时，它们才起作用。但是，由于您已经有一个可以回答该问题的函数，因此您所要做的就是在调用这两个函数之前先使用它。它们基于二进制搜索，因此它们每个都在O(log n)中运行。
对于上面我写的代码，我不提供任何保证（尤其是return部分，可能需要其他检查）。
但是，计算数字的方法是基于合法和二进制搜索的，因此，我很确定您将毫无疑问地理解该原理并将其适应您的代码。