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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;
}