05快速排序(不穩定)

在一個序列中用隨機數找一個位置,將這個位置同序列中最後一個位置交換,以這個數爲哨兵,將序列分爲三個區:小於哨兵、等於哨兵、大於哨兵。再分別將小於哨兵和大於哨兵的區域遞歸分配。

代碼分爲partition部分和quicksort部分。partition部分分爲兩個部分,第一個是分區,也就是小於哨兵、等於哨兵和大於哨兵,第二個有個swap,什麼意思呢?我用了a[r]當哨兵,所以x的位置一直都沒動的,最後排序後需要把x再換到數組中間去,而此時造成的結果就是,rr指向的是=x區,而不再是>x區了,所以返回的時候rr要+1。

partition過程中有個左邊界的ll和右邊界的rr,ll的初始值爲l-1,rr的初始值爲r。這個ll的意思是小於等於ll的數都是小於區的,大於等於rr的數都是大於區的ll好理解,初始值爲-1,所以小於區的數個數爲0,但是大於區就不一樣了,a[r]呢?難不成錯了?rr的初始值要爲r+1纔對?當然不是,上面說了,partition過程需要和一個數比較,那個數就是是a[r],所以partition的分區過程其實比較的是0~r-1,a[r]中的數據是在swap的時候換進來的。如果是r-1,rr的初始值自然是多一位嘍,因此等於區和大於區的邊界也得+1。

[外鏈圖片轉存失敗,源站可能有防盜鏈機制,建議將圖片保存下來直接上傳(img-Agb0Xs1c-1586794884958)(data:image/jpeg;base64,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)]

返回的是一個指針,因爲要把<x區和>x區的邊界返回。

quicksort函數判斷的時候不能判斷if(l==r),因爲如果之前的partition過程中沒有=x區,返回的ll和rr是有問題的。比如76543210,返回時ll是等於-1的,沒有比哨兵小的,ll從來沒動過,就是初始值l-1=0-1=-1。

時間複雜度:是個期望,因爲這個partition的分配有關。如果partition後沒有<x或者>x區(例如01234567),每次partition其實只相當於排了一個數,結果就是複雜度是O(N2)(最差情況)。如果每次partition在中間,則可用master公式求O(NlogN)(最好情況)。期望結果是O(NlogN)

空間複雜度:partition最好的時候是O(logN)。每次分半。因爲用了遞歸,所以需要存儲左邊界和右邊界。但是左右邊界不同時存在。不明白的話看左神視頻,第二期一小時左右。

int * partition(vector<int>&a,int left,int right)//區間是左閉右閉
{
    int ll=left-1;
    int rr=right;
    int mid=left;
    while(mid<rr)
    {
       if(a[mid]>a[right])
           swap(a[mid],a[--rr]);
       else if(a[mid]<a[right])
           swap(a[mid++],a[++ll]);
       else
           ++mid;
    }
    swap(a[mid],a[right]);
    int *p=(int*)malloc(sizeof(int)*2));//可以加一段判斷malloc是否成功的
    *p=ll;
    *(p+1)=mid+1;//本來mid應該是屬於等於區的邊界,我這麼一做,變成了*p和*(p+1)分別屬於小於區和大於區
    return p;
}
void quicksort(vector<int>&a,int l,int r)
{
    if(l<r)
    {
       int *p=partition(a,l,r);
       quicksort(a,l,*p);
       quicksort(a,*(p+1),r);
       free(p);
    p=NULL;
    }
}
發表評論
所有評論
還沒有人評論,想成為第一個評論的人麼? 請在上方評論欄輸入並且點擊發布.
相關文章