Given two sorted integer arrays A and B, merge B into A as one sorted array. Example A = [1, 2, 3, empty, empty], B = [4, 5] After merge, A will be filled as [1, 2, 3, 4, 5] Note You may assume that A has enough space (size that is greater or equal to m + n) to hold additional elements from B. The number of elements initialized in A and B are m and n respectively.
因为本题有 in-place 的限制,故必须从数组末尾的两个元素开始比较;否则就会产生挪动,一旦挪动就会是 O(n^2) 的。自尾部向首部逐个比较两个数组内的元素,取较大的置于数组 A 中。由于 A 的容量较 B 大,故最后 m == 0
或者 n == 0
时仅需处理 B 中的元素,因为 A 中的元素已经在 A 中,无需处理。
C++:
class Solution { public: /** * @param A: sorted integer array A which has m elements, * but size of A is m+n * @param B: sorted integer array B which has n elements * @return: void */ void mergeSortedArray(int A[], int m, int B[], int n) { int index = m + n - 1; while (m > 0 && n > 0) { if (A[m - 1] > B[n - 1]) { A[index] = A[m - 1]; --m; } else { A[index] = B[n - 1]; --n; } --index; } // B has elements left while (n > 0) { A[index] = B[n - 1]; --n; --index; } } };
JAVA:
class Solution { /** * @param A: sorted integer array A which has m elements, * but size of A is m+n * @param B: sorted integer array B which has n elements * @return: void */ public void mergeSortedArray(int[] A, int m, int[] B, int n) { if (A == null || B == null) return; int index = m + n - 1; while (m > 0 && n > 0) { if (A[m - 1] > B[n - 1]) { A[index] = A[m - 1]; m--; } else { A[index] = B[n - 1]; n--; } index--; } // B has elements left while (n > 0) { A[index] = B[n - 1]; n--; index--; } } }
源码分析
第一个 while 只能用条件与。
复杂度分析
最坏情况下需要遍历两个数组中所有元素,时间复杂度为 O(n). 空间复杂度 O(1).
原创文章,作者:ItWorker,如若转载,请注明出处:https://blog.ytso.com/20663.html