如何对数组进行排序(索引)以使用这些索引将原始数组从最小值排序到最大值

问题描述 投票:2回答:6

例如,我有这个数组

int[] a = {6,10,16,11,7,12,3,9,8,5};

我想像这样排序它的索引

[6,9,0,4,8,7,1,3,5,2]

所以我可以使用索引从最小值到最大值进行排序。在我的代码中,我得到了这个

[6, 9, 4, 8, 7, 4, 5, 6, 6, 6] 

这是我的代码

int[] a = {6,10,16,11,7,12,3,9,8,5};
int[] indeks = indekssortering(a);
System.out.println(Arrays.toString(indeks));

public static int[] indekssortering(int[] a){
    int[] indeks = new int[a.length];
    int m = 0;
    boolean finnes = false;
    boolean nyVerdi = false;
    int n = 0;
    for (int j = 0; j < a.length; j++) {
        for (int i = m+1; i < a.length ; i++) {
            if(a[m] > a[i]){
                for (int k = 0; k < j; k++) {
                    if(indeks[k] == i) finnes = true; //check if the same position is saved before
                }
                if(!finnes){ // if not so its the next minimum value
                    m = i;
                } else {
                    nyVerdi = true; // if didnt find match then the value used to compare is the next minimum
                }
            }
            finnes = false;
        }
        indeks[j] = m;
        if(nyVerdi) n=n+1;
        nyVerdi = false;
        m=0+n;
    }
    return indeks;
}

我需要帮助才能使这个代码工作或找到比这更好的想法。

我试图做的是。将所有值与第一个值进行比较,得到最小值并将位置保存到数组中(凹凸)。在保存之前,我做了循环以检查之前是否添加了这个位置。如果没有大于用于比较的值的值,则意味着它的下一个小值。我有一些是对的,有些是错的。我相信我需要改变这个想法并找到更好的解决方案。

java algorithm sorting
6个回答
3
投票

这里修改了经典的bubble sort algorithm实现以对索引进行排序

您正在寻找的实际上是任何排序int [] array的排序算法。它是遍布互联网的无穷无尽的实施列表。然后只需将比较更改为array[result[i]]并在result中交换值,而不是在array itseft中。

static int[] sort(int[] array) {
    final int size = array.length;

    final int[] result = new int[size];
    for (int i = 0; i < size; i++)
        result[i] = i;

    boolean sorted;
    do {
        sorted = true;
        int bubble = result[0];
        for (int i = 0; i < size - 1; i++) {
            if (array[bubble] > array[result[i + 1]]) {
                result[i] = result[i + 1];
                result[i + 1] = bubble;
                sorted = false;
            } else {
                bubble = result[i + 1];
            }
        }
    } while (!sorted);

    return result;
}

result arrays for your input data is [6, 9, 0, 4, 8, 7, 1, 3, 5, 2]

3
投票

这是一个没有和使用Java 8 Stream API的解决方案。

import java.util.*;
import java.util.stream.IntStream;

public class SortIndices {

    static class Indexed {
        private final int number;
        private final int index;

        Indexed(int number, int index) {
            this.number = number;
            this.index = index;
        }

        public int getNumber() {
            return number;
        }

        public int getIndex() {
            return index;
        }
    }

    static int[] indexesSorted(int[] input) {
        // Without using Stream API
        List<Indexed> indexed = new ArrayList<>();
        for(int i = 0; i < input.length; ++i) {
            indexed.add(new Indexed(input[i], i));
        }
        Collections.sort(indexed, Comparator.comparing(it -> it.number));
        int[] result = new int[indexed.size()];
        for(int i = 0; i < input.length; ++i) {
            result[i] = indexed.get(i).index;
        }
        return result;
        // Using Stream API
        /*return IntStream.range(0, input.length)
                .mapToObj(i -> new Indexed(input[i], i))
                .sorted(Comparator.comparing(it -> it.number))
                .mapToInt(it -> it.index)
                .toArray();*/
    }

    public static void main(String[] args) {
        int[] result = indexesSorted(new int[]{6, 10, 16, 11, 7, 12, 3, 9, 8, 5});
        System.out.println(Arrays.toString(result));
    }
}

如果你不能使用Java 8,使用可以在Comparable上实现Indexed接口

    static class Indexed implements Comparable<Indexed> {
        private final int number;
        private final int index;

        Indexed(int number, int index) {
            this.number = number;
            this.index = index;
        }

        public int getNumber() {
            return number;
        }

        public int getIndex() {
            return index;
        }

        @Override
        public int compareTo(Indexed o) {
            return Integer.compare(number, o.number);
        }
    }

然后在没有第二个参数的情况下调用Collections.sort


0
投票

如果有indexOf(int[], int)(如Guava)的库,你可以很容易地得到它:

int[] a = { 6, 10, 16, 11, 7, 12, 3, 9, 8, 5 };
int[] b = Arrays.copyOf(a, a.length);
Arrays.sort(b);
Arrays.setAll(b, i -> indexOf(a, b[i])); // b = [6, 9, 0, 4, 8, 7, 1, 3, 5, 2]

如果没有可用的库,这是一个indexOf(int[], int)实现:

public static int indexOf(int[] array, int search) {
    for (int i = 0; i < array.length; i++) {
        if (array[i] == search) {
            return i;
        }
    }
    return -1;
}

0
投票
  • 使用Map。让key成为元素,value成为queueindices,在这个值上发生了import java.util.*; public class Solution { public static void main(String[] args){ int[] a = new int[]{6,10,16,11,7,12,3,9,8,5}; int[] result = new int[a.length]; Map<Integer,Queue<Integer>> map = new HashMap<>(); for(int i=0;i<a.length;++i){ if(map.containsKey(a[i])){ map.get(a[i]).offer(i); }else{ Queue<Integer> q = new LinkedList<Integer>(); q.offer(i); map.put(a[i],q); } } Arrays.sort(a); for(int i=0;i<result.length;++i){ result[i] = map.get(a[i]).poll(); } System.out.println(Arrays.toString(result)); } }
  • 对数组进行排序。现在,从存储在地图中的队列中轮询每个元素。
  • 时间复杂度:O(n * log(n))
  • 空间复杂度:O(n)

码:

[6, 9, 0, 4, 8, 7, 1, 3, 5, 2]

OUTPUT:

permutation

0
投票

你基本上是在寻找阵列的sorted[indices[i]] = array[i] 。具体而言,用于排序排列。

不幸的是,在引用索引时,符号有些含糊不清并且令人困惑。主要区别在于是否

sorted[i] = array[indices[i]]

要么

List<Integer>

应该产生排序的数组。根据你的问题,你正在寻找后者。

这可以通过不同的方式实现,或者通过将元素放入tdelev in his answer并使用引用原始数组的比较器对该列表进行排序,或者通过对“对”列表进行排序,每个组由值和其原始索引组成。 (这种方法基本上已经由import java.util.Arrays; import java.util.Comparator; import java.util.function.IntBinaryOperator; public class SortingPermutations { public static void main(String[] args) { int[] a = {6,10,16,11,7,12,3,9,8,5} ; int[] p = computeAscendingSortingPermutation(a); int[] s = applyPermutation(a, p); System.out.println("array : " + Arrays.toString(a)); System.out.println("permutation : " + Arrays.toString(p)); System.out.println("sorted : " + Arrays.toString(s)); } /** * Compute the sorting permutation for the given array. This will return * an array <code>p</code> so that <code>sorted[i] = array[p[i]]</code> * will result in an array where the values are sorted in ascending order. * * @param array The array * @return The sorting permutation */ private static int[] computeAscendingSortingPermutation(int array[]) { return computeSortingPermutation(array, Integer::compare); } /** * Compute the sorting permutation for the given array. This will return * an array <code>p</code> so that <code>sorted[i] = array[p[i]]</code> * will result in an array where the values are sorted according to * the given comparator * * @param array The array * @param intComparator The comparator for the integer values * @return The sorting permutation */ private static int[] computeSortingPermutation( int array[], IntBinaryOperator intComparator) { class Entry { int value; int index; } int n = array.length; Entry entries[] = new Entry[n]; for (int i = 0; i < n; i++) { Entry e = new Entry(); e.value = array[i]; e.index = i; entries[i] = e; } Comparator<Entry> comparator = (e0, e1) -> intComparator.applyAsInt(e0.value, e1.value); Arrays.sort(entries, comparator); int result[] = new int[n]; for (int i = 0; i < n; i++) { Entry e = entries[i]; result[i] = e.index; } return result; } /** * Apply the given permutation to the given array, and return the result * as a new array. The result will be an array <code>r</code> where * <code>r[i] = array[permutation[i]]</code> * * @param array The input array * @param permutation The permutation * @return The result array */ private static int[] applyPermutation(int array[], int permutation[]) { int n = array.length; int result[] = new int[n]; for (int i=0; i<n; i++) { result[i] = array[permutation[i]]; } return result; } } 展示)

这是一个显式计算索引数组的实现,并将其作为排列应用于输入数组:

array       : [6, 10, 16, 11, 7, 12, 3, 9, 8, 5]
permutation : [6, 9, 0, 4, 8, 7, 1, 3, 5, 2]
sorted      : [3, 5, 6, 7, 8, 9, 10, 11, 12, 16]

输出是

package x;
import java.util.Arrays;
public class x {
    // although I[] needs to be of type Integer, a[] doesn't
    public static void main(String[] args) {
        int[] a = {6,10,16,11,7,12,3,9,8,5};
        // generate array of indices
        Integer[] I = new Integer [a.length];
        for(int i = 0; i < I.length; i++)
            I[i] = i;
        // sort I[] according to a[]
        Arrays.sort(I, (i, j) -> a[i]-a[j]);
        // display result
        for (int i = 0; i < a.length; i++)
            System.out.println(a[I[i]]);

        // optional inplace reorder a[] and I[] according to I[]
        // time complexity is O(n)
        for(int i = 0; i < I.length; i++){
            if(i != I[i]){
                int t = a[i];
                int j;
                int k = i;
                while(i != (j = I[k])){
                    a[k] = a[j];
                    I[k] = k;
                    k = j;
                }
                a[k] = t;
                I[k] = k;
            }
        }
        // display result
        System.out.println();
        for (int i = 0; i < a.length; i++)
            System.out.println(a[i]);
    }
}

正如所料。


0
投票

使用java 8,您可以使用lambda比较。或者,您可以根据I []对[]和I []进行原位重新排序。

qazxswpoi
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