提交 57a361f1 编写于 作者: GreyZeng's avatar GreyZeng

update note about count sort

上级 b80bbcd9
package snippet;
import java.util.Arrays;
/**
* 计数排序 一般来讲,计数排序要求,样本是整数,且范围比较窄 桶排序思想下的排序:计数排序 & 基数排序
* <p>
* 1)桶排序思想下的排序都是不基于比较的排序
* <p>
* 2)时间复杂度为O(N),额外空间负载度O(M)
* <p>
* 3)应用范围有限,需要样本的数据状况满足桶的划分
*/
public class Code_0031_CountSort {
// 非负数
public static void countSort(int[] arr) {
if (null == arr || arr.length <= 1) {
return;
}
int max = arr[0];
for (int i = 1; i < arr.length; i++) {
max = Math.max(arr[i], max);
}
int[] help = new int[max + 1];
for (int j : arr) {
help[j]++;
}
int t = 0;
for (int i = 0; i < help.length; i++) {
while (help[i] != 0) {
arr[t++] = i;
help[i]--;
}
}
}
// for test
public static void comparator(int[] arr) {
Arrays.sort(arr);
}
// for test
public static int[] generateRandomArray(int maxSize, int maxValue) {
int[] arr = new int[(int) ((maxSize + 1) * Math.random())];
for (int i = 0; i < arr.length; i++) {
arr[i] = (int) ((maxValue + 1) * Math.random());
}
return arr;
}
// for test
public static int[] copyArray(int[] arr) {
if (arr == null) {
return null;
}
int[] res = new int[arr.length];
for (int i = 0; i < arr.length; i++) {
res[i] = arr[i];
}
return res;
}
// for test
public static boolean isEqual(int[] arr1, int[] arr2) {
if ((arr1 == null && arr2 != null) || (arr1 != null && arr2 == null)) {
return false;
}
if (arr1 == null) {
return true;
}
if (arr1.length != arr2.length) {
return false;
}
for (int i = 0; i < arr1.length; i++) {
if (arr1[i] != arr2[i]) {
return false;
}
}
return true;
}
// for test
public static void printArray(int[] arr) {
if (arr == null) {
return;
}
for (int i = 0; i < arr.length; i++) {
System.out.print(arr[i] + " ");
}
System.out.println();
}
// for test
public static void main(String[] args) {
int testTime = 500000;
int maxSize = 100;
int maxValue = 150;
boolean succeed = true;
for (int i = 0; i < testTime; i++) {
int[] arr1 = generateRandomArray(maxSize, maxValue);
int[] arr2 = copyArray(arr1);
countSort(arr1);
comparator(arr2);
if (!isEqual(arr1, arr2)) {
succeed = false;
printArray(arr1);
printArray(arr2);
break;
}
}
System.out.println(succeed ? "Nice!" : "Fucking fucked!");
int[] arr = generateRandomArray(maxSize, maxValue);
printArray(arr);
countSort(arr);
printArray(arr);
}
}
\ No newline at end of file
package snippet;
import java.util.Arrays;
/**
* 基数排序 一般来讲,基数排序要求,样本是10进制的正整数, 流程如下
* <p>
* 1. 找到最大值,这个最大值是几位的
* <p>
* 2. 其他数不足这个位数的,用0补齐
* <p>
* 3. 准备10个桶,每个桶是队列
* <p>
* 4. 从个位依次进桶
* <p>
* 5. 然后依次倒出
* <p>
* 6. 根据十位数进桶
* <p>
* 7. 依次倒出 .......
* <p>
* 1) 桶排序思想下的排序都是不基于比较的排序
* <p>
* 2) 时间复杂度为O(N),额外空间复杂度O(M)
* <p>
* 3) 应用范围有限,需要样本的数据状况满足桶的划分
*/
public class Code_0032_RadixSort {
// 非负数
public static void radixSort(int[] arr) {
if (arr == null || arr.length <= 1) {
return;
}
int max = arr[0];
for (int i = 1; i < arr.length; i++) {
max = Math.max(arr[i], max);
}
// 最大值有几位
int bits = 0;
while (max != 0) {
bits++;
max /= 10;
}
int[] help = new int[arr.length];
for (int bit = 1; bit <= bits; bit++) {
int[] count = new int[10];
for (int num : arr) {
count[digit(num, bit)]++;
}
// 前缀和
for (int j = 1; j < 10; j++) {
count[j] = count[j - 1] + count[j];
}
// 倒序遍历数组
for (int i = arr.length - 1; i >= 0; i--) {
int pos = digit(arr[i], bit);
help[--count[pos]] = arr[i];
}
int m = 0;
for (int num : help) {
arr[m++] = num;
}
}
}
// 获取某个数在某一位上的值
// 从1开始,从个位开始
public static int digit(int num, int digit) {
return ((num / (int) Math.pow(10, digit - 1)) % 10);
}
// for test
public static void comparator(int[] arr) {
Arrays.sort(arr);
}
// for test
public static int[] generateRandomArray(int maxSize, int maxValue) {
int[] arr = new int[(int) ((maxSize + 1) * Math.random())];
for (int i = 0; i < arr.length; i++) {
arr[i] = (int) ((maxValue + 1) * Math.random());
}
return arr;
}
// for test
public static int[] copyArray(int[] arr) {
if (arr == null) {
return null;
}
int[] res = new int[arr.length];
for (int i = 0; i < arr.length; i++) {
res[i] = arr[i];
}
return res;
}
// for test
public static boolean isEqual(int[] arr1, int[] arr2) {
if ((arr1 == null && arr2 != null) || (arr1 != null && arr2 == null)) {
return false;
}
if (arr1 == null && arr2 == null) {
return true;
}
if (arr1.length != arr2.length) {
return false;
}
for (int i = 0; i < arr1.length; i++) {
if (arr1[i] != arr2[i]) {
return false;
}
}
return true;
}
// for test
public static void printArray(int[] arr) {
if (arr == null) {
return;
}
for (int i = 0; i < arr.length; i++) {
System.out.print(arr[i] + " ");
}
System.out.println();
}
// for test
public static void main(String[] args) {
int testTime = 500000;
int maxSize = 100;
int maxValue = 10000;
boolean succeed = true;
for (int i = 0; i < testTime; i++) {
int[] arr1 = generateRandomArray(maxSize, maxValue);
int[] arr2 = copyArray(arr1);
radixSort(arr1);
comparator(arr2);
if (!isEqual(arr1, arr2)) {
succeed = false;
printArray(arr1);
printArray(arr2);
break;
}
}
System.out.println(succeed ? "Nice!" : "Fucking fucked!");
// int[] arr = generateRandomArray(maxSize, maxValue);
// printArray(arr);
// radixSort(arr);
// printArray(arr);
}
}
package snippet;
import java.util.Arrays;
// 笔记:https://www.cnblogs.com/greyzeng/p/16928076.html
/**
* 计数排序 一般来讲,计数排序要求,样本是整数,且范围比较窄 桶排序思想下的排序:计数排序 & 基数排序
*
* <p>1)桶排序思想下的排序都是不基于比较的排序
*
* <p>2)时间复杂度为O(N),额外空间负载度O(M)
*
* <p>3)应用范围有限,需要样本的数据状况满足桶的划分
*/
public class Code_CountSort {
// 非负数
public static void countSort(int[] arr) {
if (null == arr || arr.length <= 1) {
return;
}
int max = arr[0];
for (int i = 1; i < arr.length; i++) {
max = Math.max(arr[i], max);
}
int[] help = new int[max + 1];
for (int j : arr) {
help[j]++;
}
int t = 0;
for (int i = 0; i < help.length; i++) {
while (help[i] != 0) {
arr[t++] = i;
help[i]--;
}
}
}
// for test
public static void comparator(int[] arr) {
Arrays.sort(arr);
}
// for test
public static int[] generateRandomArray(int maxSize, int maxValue) {
int[] arr = new int[(int) ((maxSize + 1) * Math.random())];
for (int i = 0; i < arr.length; i++) {
arr[i] = (int) ((maxValue + 1) * Math.random());
}
return arr;
}
// for test
public static int[] copyArray(int[] arr) {
if (arr == null) {
return null;
}
int[] res = new int[arr.length];
for (int i = 0; i < arr.length; i++) {
res[i] = arr[i];
}
return res;
}
// for test
public static boolean isEqual(int[] arr1, int[] arr2) {
if ((arr1 == null && arr2 != null) || (arr1 != null && arr2 == null)) {
return false;
}
if (arr1 == null) {
return true;
}
if (arr1.length != arr2.length) {
return false;
}
for (int i = 0; i < arr1.length; i++) {
if (arr1[i] != arr2[i]) {
return false;
}
}
return true;
}
// for test
public static void printArray(int[] arr) {
if (arr == null) {
return;
}
for (int i = 0; i < arr.length; i++) {
System.out.print(arr[i] + " ");
}
System.out.println();
}
// for test
public static void main(String[] args) {
int testTime = 500000;
int maxSize = 100;
int maxValue = 150;
boolean succeed = true;
for (int i = 0; i < testTime; i++) {
int[] arr1 = generateRandomArray(maxSize, maxValue);
int[] arr2 = copyArray(arr1);
countSort(arr1);
comparator(arr2);
if (!isEqual(arr1, arr2)) {
succeed = false;
printArray(arr1);
printArray(arr2);
break;
}
}
System.out.println(succeed ? "Nice!" : "Fucking fucked!");
int[] arr = generateRandomArray(maxSize, maxValue);
printArray(arr);
countSort(arr);
printArray(arr);
}
}
package snippet;
import java.util.Arrays;
// 笔记:
/**
* 基数排序 一般来讲,基数排序要求,样本是10进制的正整数, 流程如下
*
* <p>1. 找到最大值,这个最大值是几位的
*
* <p>2. 其他数不足这个位数的,用0补齐
*
* <p>3. 准备10个桶,每个桶是队列
*
* <p>4. 从个位依次进桶
*
* <p>5. 然后依次倒出
*
* <p>6. 根据十位数进桶
*
* <p>7. 依次倒出 .......
*
* <p>1) 桶排序思想下的排序都是不基于比较的排序
*
* <p>2) 时间复杂度为O(N),额外空间复杂度O(M)
*
* <p>3) 应用范围有限,需要样本的数据状况满足桶的划分
*/
public class Code_RadixSort {
// 非负数
public static void radixSort(int[] arr) {
if (arr == null || arr.length <= 1) {
return;
}
int max = arr[0];
for (int i = 1; i < arr.length; i++) {
max = Math.max(arr[i], max);
}
// 最大值有几位
int bits = 0;
while (max != 0) {
bits++;
max /= 10;
}
int[] help = new int[arr.length];
for (int bit = 1; bit <= bits; bit++) {
int[] count = new int[10];
for (int num : arr) {
count[digit(num, bit)]++;
}
// 前缀和
for (int j = 1; j < 10; j++) {
count[j] = count[j - 1] + count[j];
}
// 倒序遍历数组
for (int i = arr.length - 1; i >= 0; i--) {
int pos = digit(arr[i], bit);
help[--count[pos]] = arr[i];
}
int m = 0;
for (int num : help) {
arr[m++] = num;
}
}
}
// 获取某个数在某一位上的值
// 从1开始,从个位开始
public static int digit(int num, int digit) {
return ((num / (int) Math.pow(10, digit - 1)) % 10);
}
// for test
public static void comparator(int[] arr) {
Arrays.sort(arr);
}
// for test
public static int[] generateRandomArray(int maxSize, int maxValue) {
int[] arr = new int[(int) ((maxSize + 1) * Math.random())];
for (int i = 0; i < arr.length; i++) {
arr[i] = (int) ((maxValue + 1) * Math.random());
}
return arr;
}
// for test
public static int[] copyArray(int[] arr) {
if (arr == null) {
return null;
}
int[] res = new int[arr.length];
for (int i = 0; i < arr.length; i++) {
res[i] = arr[i];
}
return res;
}
// for test
public static boolean isEqual(int[] arr1, int[] arr2) {
if ((arr1 == null && arr2 != null) || (arr1 != null && arr2 == null)) {
return false;
}
if (arr1 == null && arr2 == null) {
return true;
}
if (arr1.length != arr2.length) {
return false;
}
for (int i = 0; i < arr1.length; i++) {
if (arr1[i] != arr2[i]) {
return false;
}
}
return true;
}
// for test
public static void printArray(int[] arr) {
if (arr == null) {
return;
}
for (int i = 0; i < arr.length; i++) {
System.out.print(arr[i] + " ");
}
System.out.println();
}
// for test
public static void main(String[] args) {
int testTime = 500000;
int maxSize = 100;
int maxValue = 10000;
boolean succeed = true;
for (int i = 0; i < testTime; i++) {
int[] arr1 = generateRandomArray(maxSize, maxValue);
int[] arr2 = copyArray(arr1);
radixSort(arr1);
comparator(arr2);
if (!isEqual(arr1, arr2)) {
succeed = false;
printArray(arr1);
printArray(arr2);
break;
}
}
System.out.println(succeed ? "Nice!" : "Fucking fucked!");
// int[] arr = generateRandomArray(maxSize, maxValue);
// printArray(arr);
// radixSort(arr);
// printArray(arr);
}
}
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