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merge sort
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描述:歸併排序
思路:
1.將區間對半分割
2.對左、右段分別排序
3.利用inplace_merge將左、右段合并成為一個完整的有序序列
複雜度:O(nlog n)
源碼:
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);}}
樣本:
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;}