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merge sort
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描写叙述:归并排序
思路:
1.将区间对半切割
2.对左、右段分别排序
3.利用inplace_merge将左、右段合并成为一个完整的有序序列
复杂度:O(nlog n)
源代码:
template<class BidirectionalIter> void mergesort(BidirectionalIter first, BidirectionalIter last){ typename iterator_traits<BidirectionalIter>::diference_type n = distance(first,last); if(n == 0 || n == 1) return ; else{ BidirectionalIter mid = first + n / 2; mergesort(first, mid); mergesort(mid, last); inplace_merge(first, mid, last); } }
演示样例:
int main() { int a[]={3,8,0,6,7,4,2,1,9,3,1,8,3,9,2,0,9}; int *a_end=a+sizeof a/sizeof(int); std::cout<<"a before mergesort: "; std::for_each(a, a_end, print<int>); std::cout<<'\n'; mergesort(a, a_end); std::cout<<"a after mergesort: "; std::for_each(a, a_end, print<int>); std::cout<<'\n'; return 0; }