870 Advantage Shuffle

Given two arrays A and B of equal size, the advantage of A with respect to B is the number of indices i for which A[i] > B[i].
Return any permutation of A that maximizes its advantage with respect to B.

Example：

Input: A = [2,7,11,15], B = [1,10,4,11]
Output: [2,11,7,15]

Input: A = [12,24,8,32], B = [13,25,32,11]
Output: [24,32,8,12]

Note：

1 <= A.length = B.length <= 10000
0 <= A[i] <= 10^9
0 <= B[i] <= 10^9

解释下题目：

田忌赛马的数组版本

1. 排序并且进行比较

实际耗时：47ms

public int[] advantageCount(int[] A, int[] B) {
        int[] sortedA = A.clone();
        int[] sortedB = B.clone();
        Arrays.sort(sortedA);
        Arrays.sort(sortedB);

        Map> map = new HashMap<>();
        List remain = new ArrayList<>();

        int i = 0;
        for (int j = 0; j < sortedB.length && i < sortedA.length; i++) {
            if (sortedB[j] < sortedA[i]) {
                if (map.containsKey(sortedB[j])) {
                    map.get(sortedB[j]).add(sortedA[i]);
                } else {
                    ArrayList tmp = new ArrayList<>();
                    tmp.add(sortedA[i]);
                    map.put(sortedB[j], tmp);
                }
                j++;
            } else {
                remain.add(sortedA[i]);
            }
        }

        int[] res = new int[sortedA.length];

        for (int k = 0; k < sortedB.length; k++) {
            if (map.containsKey(B[k]) && map.get(B[k]).size() > 0) {
                res[k] = map.get(B[k]).get(0);
                map.get(B[k]).remove(0);
            } else {
                res[k] = remain.get(0);
                remain.remove(0);
            }
        }

        return res;
    }

踩过的坑：[28,47,45,8,2,10,25,35,43,37,33,30,33,20,33,42,43,36,34,3,16,23,15,10,19,42,13,47,0,21,36,38,0,5,3,28,4,20,14,5,19,22,29,17,3,16,35,0,26,0][44,10,27,4,27,40,46,40,45,0,41,2,44,50,36,30,37,4,44,4,12,13,35,20,19,25,38,42,43,14,2,4,5,38,4,38,0,35,12,32,38,33,3,1,19,46,23,13,24,41]

  思路就是标准的贪心呗，其实需要注意的问题的就是如何重复多余的数字的问题而已，上面用的是利用map搭配arraylist实现，注意构造最后的数组的时候需要判断size>0，否则会报错。

时间复杂度O(nlogn)

空间复杂度O(n)

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