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trie、桶排序、排序总结

trie、桶排序、排序总结

作者: 简朴_ | 来源:发表于2020-12-03 12:41 被阅读0次

Code01_TrieTree 前缀树

package class05;

import java.util.HashMap;

// 该程序的对数器跑不过，你能发现bug在哪吗？
public class Code01_TrieTree {

    public static class Node1 {
        public int pass;
        public int end;
        public Node1[] nexts;

        public Node1() {
            pass = 0;
            end = 0;
            nexts = new Node1[26];
        }
    }

    public static class Trie1 {
        private Node1 root;

        public Trie1() {
            root = new Node1();
        }

        public void insert(String word) {
            if (word == null) {
                return;
            }
            char[] chs = word.toCharArray();
            Node1 node = root;
            node.pass++;
            int index = 0;
            for (int i = 0; i < chs.length; i++) { // 从左往右遍历字符
                index = chs[i] - 'a'; // 由字符，对应成走向哪条路
                if (node.nexts[index] == null) {
                    node.nexts[index] = new Node1();
                }
                node = node.nexts[index];
                node.pass++;
            }
            node.end++;
        }

        public void delete(String word) {
            if (search(word) != 0) {
                char[] chs = word.toCharArray();
                Node1 node = root;
                node.pass--;
                int index = 0;
                for (int i = 0; i < chs.length; i++) {
                    index = chs[i] - 'a';
                    if (--node.nexts[index].pass == 0) {
                        node.nexts[index] = null;
                        return;
                    }
                    node = node.nexts[index];
                }
                node.end--;
            }
        }

        // word这个单词之前加入过几次
        public int search(String word) {
            if (word == null) {
                return 0;
            }
            char[] chs = word.toCharArray();
            Node1 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = chs[i] - 'a';
                if (node.nexts[index] == null) {
                    return 0;
                }
                node = node.nexts[index];
            }
            return node.end;
        }

        // 所有加入的字符串中，有几个是以pre这个字符串作为前缀的
        public int prefixNumber(String pre) {
            if (pre == null) {
                return 0;
            }
            char[] chs = pre.toCharArray();
            Node1 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = chs[i] - 'a';
                if (node.nexts[index] == null) {
                    return 0;
                }
                node = node.nexts[index];
            }
            return node.pass;
        }
    }

    public static class Node2 {
        public int pass;
        public int end;
        public HashMap<Integer, Node2> nexts;

        public Node2() {
            pass = 0;
            end = 0;
            nexts = new HashMap<>();
        }
    }

    public static class Trie2 {
        private Node2 root;

        public Trie2() {
            root = new Node2();
        }

        public void insert(String word) {
            if (word == null) {
                return;
            }
            char[] chs = word.toCharArray();
            Node2 node = root;
            node.pass++;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    node.nexts.put(index, new Node2());
                }
                node = node.nexts.get(index);
                node.pass++;
            }
            node.end++;
        }

        public void delete(String word) {
            if (search(word) != 0) {
                char[] chs = word.toCharArray();
                Node2 node = root;
                node.pass--;
                int index = 0;
                for (int i = 0; i < chs.length; i++) {
                    index = (int) chs[i];
                    if (--node.nexts.get(index).pass == 0) {
                        node.nexts.remove(index);
                        return;
                    }
                    node = node.nexts.get(index);
                }
                node.end--;
            }
        }

        // word这个单词之前加入过几次
        public int search(String word) {
            if (word == null) {
                return 0;
            }
            char[] chs = word.toCharArray();
            Node2 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    return 0;
                }
                node = node.nexts.get(index);
            }
            return node.end;
        }

        // 所有加入的字符串中，有几个是以pre这个字符串作为前缀的
        public int prefixNumber(String pre) {
            if (pre == null) {
                return 0;
            }
            char[] chs = pre.toCharArray();
            Node2 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    return 0;
                }
                node = node.nexts.get(index);
            }
            return node.pass;
        }
    }

    public static class Right {

        private HashMap<String, Integer> box;

        public Right() {
            box = new HashMap<>();
        }

        public void insert(String word) {
            if (!box.containsKey(word)) {
                box.put(word, 1);
            } else {
                box.put(word, box.get(word) + 1);
            }
        }

        public void delete(String word) {
            if (box.containsKey(word)) {
                if (box.get(word) == 1) {
                    box.remove(word);
                } else {
                    box.put(word, box.get(word) - 1);
                }
            }
        }

        public int search(String word) {
            if (!box.containsKey(word)) {
                return 0;
            } else {
                return box.get(word);
            }
        }

        public int prefixNumber(String pre) {
            int count = 0;
            for (String cur : box.keySet()) {
                if (cur.startsWith(pre)) {
                    count++;
                }
            }
            return count;
        }
    }

    // for test
    public static String generateRandomString(int strLen) {
        char[] ans = new char[(int) (Math.random() * strLen) + 1];
        for (int i = 0; i < ans.length; i++) {
            int value = (int) (Math.random() * 6);
            ans[i] = (char) (97 + value);
        }
        return String.valueOf(ans);
    }

    // for test
    public static String[] generateRandomStringArray(int arrLen, int strLen) {
        String[] ans = new String[(int) (Math.random() * arrLen) + 1];
        for (int i = 0; i < ans.length; i++) {
            ans[i] = generateRandomString(strLen);
        }
        return ans;
    }

    public static void main(String[] args) {
        int arrLen = 100;
        int strLen = 20;
        int testTimes = 100000;
        for (int i = 0; i < testTimes; i++) {
            String[] arr = generateRandomStringArray(arrLen, strLen);
            Trie1 trie1 = new Trie1();
            Trie2 trie2 = new Trie2();
            Right right = new Right();
            for (int j = 0; j < arr.length; j++) {
                double decide = Math.random();
                if (decide < 0.25) {
                    trie1.insert(arr[j]);
                    trie2.insert(arr[j]);
                    right.insert(arr[j]);
                } else if (decide < 0.5) {
                    trie1.delete(arr[j]);
                    trie2.delete(arr[j]);
                    right.delete(arr[j]);
                } else if (decide < 0.75) {
                    int ans1 = trie1.search(arr[j]);
                    int ans2 = trie2.search(arr[j]);
                    int ans3 = right.search(arr[j]);
                    if (ans1 != ans2 || ans2 != ans3) {
                        System.out.println("Oops!");
                    }
                } else {
                    int ans1 = trie1.prefixNumber(arr[j]);
                    int ans2 = trie2.prefixNumber(arr[j]);
                    int ans3 = right.prefixNumber(arr[j]);
                    if (ans1 != ans2 || ans2 != ans3) {
                        System.out.println("Oops!");
                    }
                }
            }
        }
        System.out.println("finish!");

    }

}

Code02_TrieTree

package class05;

import java.util.HashMap;

// 该程序完全正确
public class Code02_TrieTree {

    public static class Node1 {
        public int pass;
        public int end;
        public Node1[] nexts;

        public Node1() {
            pass = 0;
            end = 0;
            // 0    a
            // 1    b
            // 2    c
            // ..   ..
            // 25   z
            // nexts[i] == null   i方向的路不存在
            // nexts[i] != null   i方向的路存在
            nexts = new Node1[26];
        }
    }

    public static class Trie1 {
        private Node1 root;

        public Trie1() {
            root = new Node1();
        }

        public void insert(String word) {
            if (word == null) {
                return;
            }
            char[] str = word.toCharArray();
            Node1 node = root;
            node.pass++;
            int path = 0;
            for (int i = 0; i < str.length; i++) { // 从左往右遍历字符
                path = str[i] - 'a'; // 由字符，对应成走向哪条路
                if (node.nexts[path] == null) {
                    node.nexts[path] = new Node1();
                }
                node = node.nexts[path];
                node.pass++;
            }
            node.end++;
        }

        public void delete(String word) {
            if (search(word) != 0) {
                char[] chs = word.toCharArray();
                Node1 node = root;
                node.pass--;
                int path = 0;
                for (int i = 0; i < chs.length; i++) {
                    path = chs[i] - 'a';
                    if (--node.nexts[path].pass == 0) {
                        node.nexts[path] = null;
                        return;
                    }
                    node = node.nexts[path];
                }
                node.end--;
            }
        }

        // word这个单词之前加入过几次
        public int search(String word) {
            if (word == null) {
                return 0;
            }
            char[] chs = word.toCharArray();
            Node1 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = chs[i] - 'a';
                if (node.nexts[index] == null) {
                    return 0;
                }
                node = node.nexts[index];
            }
            return node.end;
        }

        // 所有加入的字符串中，有几个是以pre这个字符串作为前缀的
        public int prefixNumber(String pre) {
            if (pre == null) {
                return 0;
            }
            char[] chs = pre.toCharArray();
            Node1 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = chs[i] - 'a';
                if (node.nexts[index] == null) {
                    return 0;
                }
                node = node.nexts[index];
            }
            return node.pass;
        }
    }

    public static class Node2 {
        public int pass;
        public int end;
        public HashMap<Integer, Node2> nexts;

        public Node2() {
            pass = 0;
            end = 0;
            nexts = new HashMap<>();
        }
    }

    public static class Trie2 {
        private Node2 root;

        public Trie2() {
            root = new Node2();
        }

        public void insert(String word) {
            if (word == null) {
                return;
            }
            char[] chs = word.toCharArray();
            Node2 node = root;
            node.pass++;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    node.nexts.put(index, new Node2());
                }
                node = node.nexts.get(index);
                node.pass++;
            }
            node.end++;
        }

        public void delete(String word) {
            if (search(word) != 0) {
                char[] chs = word.toCharArray();
                Node2 node = root;
                node.pass--;
                int index = 0;
                for (int i = 0; i < chs.length; i++) {
                    index = (int) chs[i];
                    if (--node.nexts.get(index).pass == 0) {
                        node.nexts.remove(index);
                        return;
                    }
                    node = node.nexts.get(index);
                }
                node.end--;
            }
        }

        // word这个单词之前加入过几次
        public int search(String word) {
            if (word == null) {
                return 0;
            }
            char[] chs = word.toCharArray();
            Node2 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    return 0;
                }
                node = node.nexts.get(index);
            }
            return node.end;
        }

        // 所有加入的字符串中，有几个是以pre这个字符串作为前缀的
        public int prefixNumber(String pre) {
            if (pre == null) {
                return 0;
            }
            char[] chs = pre.toCharArray();
            Node2 node = root;
            int index = 0;
            for (int i = 0; i < chs.length; i++) {
                index = (int) chs[i];
                if (!node.nexts.containsKey(index)) {
                    return 0;
                }
                node = node.nexts.get(index);
            }
            return node.pass;
        }
    }

    public static class Right {

        private HashMap<String, Integer> box;

        public Right() {
            box = new HashMap<>();
        }

        public void insert(String word) {
            if (!box.containsKey(word)) {
                box.put(word, 1);
            } else {
                box.put(word, box.get(word) + 1);
            }
        }

        public void delete(String word) {
            if (box.containsKey(word)) {
                if (box.get(word) == 1) {
                    box.remove(word);
                } else {
                    box.put(word, box.get(word) - 1);
                }
            }
        }

        public int search(String word) {
            if (!box.containsKey(word)) {
                return 0;
            } else {
                return box.get(word);
            }
        }

        public int prefixNumber(String pre) {
            int count = 0;
            for (String cur : box.keySet()) {
                if (cur.startsWith(pre)) {
                    count += box.get(cur);
                }
            }
            return count;
        }
    }

    // for test
    public static String generateRandomString(int strLen) {
        char[] ans = new char[(int) (Math.random() * strLen) + 1];
        for (int i = 0; i < ans.length; i++) {
            int value = (int) (Math.random() * 6);
            ans[i] = (char) (97 + value);
        }
        return String.valueOf(ans);
    }

    // for test
    public static String[] generateRandomStringArray(int arrLen, int strLen) {
        String[] ans = new String[(int) (Math.random() * arrLen) + 1];
        for (int i = 0; i < ans.length; i++) {
            ans[i] = generateRandomString(strLen);
        }
        return ans;
    }

    public static void main(String[] args) {
        int arrLen = 100;
        int strLen = 20;
        int testTimes = 100000;
        for (int i = 0; i < testTimes; i++) {
            String[] arr = generateRandomStringArray(arrLen, strLen);
            Trie1 trie1 = new Trie1();
            Trie2 trie2 = new Trie2();
            Right right = new Right();
            for (int j = 0; j < arr.length; j++) {
                double decide = Math.random();
                if (decide < 0.25) {
                    trie1.insert(arr[j]);
                    trie2.insert(arr[j]);
                    right.insert(arr[j]);
                } else if (decide < 0.5) {
                    trie1.delete(arr[j]);
                    trie2.delete(arr[j]);
                    right.delete(arr[j]);
                } else if (decide < 0.75) {
                    int ans1 = trie1.search(arr[j]);
                    int ans2 = trie2.search(arr[j]);
                    int ans3 = right.search(arr[j]);
                    if (ans1 != ans2 || ans2 != ans3) {
                        System.out.println("Oops!");
                    }
                } else {
                    int ans1 = trie1.prefixNumber(arr[j]);
                    int ans2 = trie2.prefixNumber(arr[j]);
                    int ans3 = right.prefixNumber(arr[j]);
                    if (ans1 != ans2 || ans2 != ans3) {
                        System.out.println("Oops!");
                    }
                }
            }
        }
        System.out.println("finish!");

    }

}

Code03_CountSort

package class05;

import java.util.Arrays;

public class Code03_CountSort {

    // only for 0~200 value
    public static void countSort(int[] arr) {
        if (arr == null || arr.length < 2) {
            return;
        }
        int max = Integer.MIN_VALUE;
        for (int i = 0; i < arr.length; i++) {
            max = Math.max(max, arr[i]);
        }
        int[] bucket = new int[max + 1];
        for (int i = 0; i < arr.length; i++) {
            bucket[arr[i]]++;
        }
        int i = 0;
        for (int j = 0; j < bucket.length; j++) {
            while (bucket[j]-- > 0) {
                arr[i++] = j;
            }
        }
    }

    // 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 = 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);

    }

}

Code04_RadixSort

package class05;

import java.util.Arrays;

public class Code04_RadixSort {

    // only for no-negative value
    public static void radixSort(int[] arr) {
        if (arr == null || arr.length < 2) {
            return;
        }
        radixSort(arr, 0, arr.length - 1, maxbits(arr));
    }

    public static int maxbits(int[] arr) {
        int max = Integer.MIN_VALUE;
        for (int i = 0; i < arr.length; i++) {
            max = Math.max(max, arr[i]);
        }
        int res = 0;
        while (max != 0) {
            res++;
            max /= 10;
        }
        return res;
    }

    // arr[l..r]排序  ,  digit
    // l..r    3 56 17 100    3
    public static void radixSort(int[] arr, int L, int R, int digit) {
        final int radix = 10;
        int i = 0, j = 0;
        // 有多少个数准备多少个辅助空间
        int[] help = new int[R - L + 1];
        for (int d = 1; d <= digit; d++) { // 有多少位就进出几次
            // 10个空间
            // count[0] 当前位(d位)是0的数字有多少个
            // count[1] 当前位(d位)是(0和1)的数字有多少个
            // count[2] 当前位(d位)是(0、1和2)的数字有多少个
            // count[i] 当前位(d位)是(0~i)的数字有多少个
            int[] count = new int[radix]; // count[0..9]
            for (i = L; i <= R; i++) {
                // 103  1   3
                // 209  1   9
                j = getDigit(arr[i], d);
                count[j]++;
            }
            for (i = 1; i < radix; i++) {
                count[i] = count[i] + count[i - 1];
            }
            for (i = R; i >= L; i--) {
                j = getDigit(arr[i], d);
                help[count[j] - 1] = arr[i];
                count[j]--;
            }
            for (i = L, j = 0; i <= R; i++, j++) {
                arr[i] = help[j];
            }
        }
        
        
        
        
    }

    public static int getDigit(int x, int d) {
        return ((x / ((int) Math.pow(10, d - 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 = 100000;
        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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