从有序数组中查找key第一次出现的位置以及出现的所有位置

  1. 给定有序数组, 数组中最大元素为max;
  2. 从中查找数字key, key 取值在[0, max];
  3. 输出key第一次出现位置;
  4. 输出key出现的所有位置,顺序排列。

input:

key = 17;
arr = [2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 17];

output:

findIndex    17 in [2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 17], pos = 13
findAllIndex 17 in [2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 17], pos = [13, 14, 15]
package com.wxcsdb88.study.algorithm.search;

import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Random;

/**
 * Description: 二分查找
 * 

Blog: http://blog.wxcsdb88.com

* * @author wxcsdb88 * @since 2018-02-03 22:01 **/
public class BinarySearch { public static int searchIndex(int key, Integer[] arr) { if (arr == null || arr.length == 0) { return -1; } int start = 0; int end = arr.length - 1; if (arr[start] > key || arr[end] < key) { return -1; } int mid = 0; while (start <= end) { mid = (start + end) / 2; if (arr[mid] > key) { end = mid - 1; } else if (arr[mid] < key) { start = mid + 1; } else { while (mid - 1 >= 0 && arr[mid - 1] == key) { mid--; } return mid; } } return -1; } public static Integer[] searchAllIndex(int key, Integer[] arr) { Integer[] result; if (arr == null || arr.length == 0) { return new Integer[0]; } int start = 0; int end = arr.length - 1; if (arr[start] > key || arr[end] < key) { return new Integer[0]; } int mid; while (start <= end) { mid = (start + end) / 2; if (arr[mid] > key) { end = mid - 1; } else if (arr[mid] < key) { start = mid + 1; } else { int midL = mid; int midR = mid; int count = 1; while (midL - 1 >= 0 && arr[midL - 1] == key) { count++; midL--; } while (midR + 1 < arr.length && arr[midR + 1] == key) { count++; midR++; } result = new Integer[count]; for (int i = 0, from = midL; i < count; i++, from++) { result[i] = from; } return result; } } return new Integer[0]; } public static void main(String[] args) { List dataSet = new ArrayList<>(); dataSet.add(new Integer[]{2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 20, 20, 20, 21}); dataSet.add(new Integer[]{2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 17,}); dataSet.add(new Integer[]{2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 12, 12, 13, 13, 13, 14}); dataSet.add(new Integer[]{2, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 12, 17, 17, 18, 18, 18,}); dataSet.add(new Integer[]{1, 1, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7}); dataSet.add(new Integer[]{1, 1, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 12}); int size = dataSet.size(); if (size >= 1) { List randomKey = new ArrayList<>(dataSet.size()); Random random = new Random(); dataSet.forEach(arr -> { int key = 0; if (arr != null && arr.length >= 1) { key = arr[0] + random.nextInt(arr[arr.length - 1]); } else { key = random.nextInt(10); } randomKey.add(key); }); for (int i = 0; i < size; i++) { Integer[] arr = dataSet.get(i); int key = randomKey.get(i); System.out.println(String.format("findIndex %5s in %s, pos = %s", key, Arrays.toString(arr), searchIndex(key, arr))); Integer[] resultAll = searchAllIndex(key, arr); System.out.println(String.format("findAllIndex %5s in %s, pos = %s", key, Arrays.toString(arr), Arrays.toString(resultAll))); System.out.println(); } } } }

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