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Copy pathMaxGap.java
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81 lines (74 loc) · 2.58 KB
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package sort;
import org.junit.Test;
import utils.VerificationUtil;
import java.util.Arrays;
/**
* @Author: wei1
* @Date: Create in 2018/12/28 18:00
* @Description: 求一组数中最大的间隔
*/
public class MaxGap {
public int maxGap(int[] arr) {
if (arr == null || arr.length < 2) {
return 0;
}
int max = Integer.MIN_VALUE;
int min = Integer.MAX_VALUE;
for (int i = 0; i < arr.length; i++) {
max = Math.max(arr[i], max);
min = Math.min(arr[i], min);
}
//经过这样的设计第一个和最后一个的桶中一定会有数据
boolean[] hasNum = new boolean[arr.length + 1];
int[] maxs = new int[arr.length + 1];
int[] mins = new int[arr.length + 1];
for (int i = 0; i < arr.length; i++) {
//这与这里时arr.length 毕竟时从0开始 的
int bucket = getBucket(arr[i], arr.length, max, min);
if (bucket >= arr.length + 1) {
System.out.println(arr.length + 1);
System.out.println(bucket);
}
maxs[bucket] = hasNum[bucket] ? Math.max(maxs[bucket], arr[i]) : arr[i];
mins[bucket] = hasNum[bucket] ? Math.min(mins[bucket], arr[i]) : arr[i];
hasNum[bucket] = true;
}
int result = Integer.MIN_VALUE;
int lastMax = maxs[0];
for (int i = 1; i < arr.length + 1; i++) {
if (hasNum[i]) {
result = Math.max(mins[i] - lastMax, result);
lastMax = maxs[i];
}
}
return result;
}
private int getBucket(int i, int length, int max, int min) {
return (int) ((i - min) * length / (max - min));
// return (int) ((num - min) * len / (max - min));
}
// for test
public int comparator(int[] nums) {
if (nums == null || nums.length < 2) {
return 0;
}
Arrays.sort(nums);
int gap = Integer.MIN_VALUE;
for (int i = 1; i < nums.length; i++) {
gap = Math.max(nums[i] - nums[i - 1], gap);
}
return gap;
}
@Test
public void test() throws Exception {
for (int i = 0; i < 1000; i++) {
System.out.println(i);
int[] randomIntArray = VerificationUtil.getRandomIntArray(30, -100, 1000);
if (comparator(randomIntArray) != maxGap(randomIntArray)) {
System.out.println("shit");
} else {
System.out.println(comparator(randomIntArray) + " == " + maxGap(randomIntArray));
}
}
}
}