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  • HDU1890 Robotic Sort splay

    题意:给你一个序列,用机器排序,机器每一次旋转一个区间达到排序效果,问你每一需要旋转的位置。

    解题思路:splay 区间旋转。

    解题代码:

      1 // File Name: hdu1890.1.cpp
      2 // Author: darkdream
      3 // Created Time: 2015年04月04日 星期六 21时28分31秒
      4 
      5 #include<vector>
      6 #include<list>
      7 #include<map>
      8 #include<set>
      9 #include<deque>
     10 #include<stack>
     11 #include<bitset>
     12 #include<algorithm>
     13 #include<functional>
     14 #include<numeric>
     15 #include<utility>
     16 #include<sstream>
     17 #include<iostream>
     18 #include<iomanip>
     19 #include<cstdio>
     20 #include<cmath>
     21 #include<cstdlib>
     22 #include<cstring>
     23 #include<ctime>
     24 #include<limits.h>
     25 #define LL long long
     26 #define keyTree (ch[ch[root][1]][0])
     27 using namespace std;
     28 const int maxn = 100005; 
     29 int flag = 0 ; 
     30 
     31 struct SplayTree{
     32     int sz[maxn];
     33     int ch[maxn][2];
     34     int pre[maxn];
     35     int root ,top1,top2;
     36     int ss[maxn],que[maxn];
     37     struct node{
     38       int i,si,val;
     39     }num[maxn];
     40     static bool cmp(node a,node b)
     41     {
     42       return a.i < b.i; 
     43     }
     44     inline void Rotate(int x, int f){
     45          int y = pre[x];
     46          push_down(y);
     47          push_down(x);
     48          ch[y][!f] = ch[x][f];
     49          pre[ch[x][f]] = y ;
     50          pre[x] = pre[y];
     51          if(pre[x])  ch[pre[y]][ch[pre[y]][1] == y] = x; 
     52          ch[x][f] = y ; 
     53          pre[y] = x; 
     54          push_up(y);
     55     }
     56     inline void Splay(int x, int goal){
     57         push_down(x);
     58         while(pre[x] != goal){
     59             if(pre[pre[x]] == goal){
     60                Rotate(x,ch[pre[x]][0] == x);
     61             }else{
     62                 int y = pre[x],z = pre[y];
     63                 int f = (ch[z][0] == y );
     64                 if(ch[y][f] == x)
     65                     Rotate(x,!f),Rotate(x,f);
     66                 else Rotate(y,f),Rotate(x,f);
     67             }
     68         }
     69         push_up(x);
     70         if(goal == 0 ) root = x; 
     71     }
     72     inline void RotateTo(int k ,int goal){
     73         int x = root;
     74         push_down(x);
     75         while(sz[ch[x][0]] != k)
     76         {
     77             if(k < sz[ch[x][0]]){
     78                 x = ch[x][0];
     79             }else{
     80                 k-= (sz[ch[x][0]] +1);
     81                 x = ch[x][1];
     82             }
     83             push_down(x);
     84         }
     85         Splay(x,goal);
     86     }
     87     void print(int x){
     88         if(x == 0 )
     89             return ;
     90         print(ch[x][0]);
     91         printf("%d ",val[x]);
     92         print(ch[x][1]);
     93     }
     94     inline int findK(int mxnum){
     95         int k = 0 ; 
     96         for(int i = root;i != 0 ;)
     97         {
     98             push_down(i);
     99             if(val[i] == mi[root])
    100             {
    101                k += sz[ch[i][0]] ;
    102                RotateTo(0,0);
    103                RotateTo(k+1,root);
    104                rev[keyTree] ^= 1;
    105                RotateTo(0,0);
    106                RotateTo(2,root);
    107                erase(keyTree);
    108                push_up(ch[root][1]);
    109                push_up(root);
    110                return k ; 
    111             }
    112             if(mi[ch[i][1]] == mi[root])
    113             {
    114                 k += sz[ch[i][0]] + 1; 
    115                 i = ch[i][1];
    116             }
    117             else{ 
    118                 i = ch[i][0];
    119                 /*printf("****%d
    ",k);
    120                 for(int i = 1;i <= 6; i++)
    121                     printf("%d ",sz[i]);
    122                 printf("
    ");*/
    123             }
    124         }
    125     }
    126     inline void erase(int x){
    127         int father = pre[x];
    128         int head = 0 ,tail =0 ; 
    129         for(que[tail++] = x ;head < tail ;head ++){
    130            ss[top2 ++ ] = que[head];
    131            if(ch[que[head]][0])  que[tail ++] = ch[que[head]][0];
    132            if(ch[que[head]][1])  que[tail ++] = ch[que[head]][1];
    133         }
    134         ch[father][ch[father][1] == x] = 0 ; 
    135         push_up(father);
    136     }
    137 
    138     inline void NewNode(int &x,int c){
    139         if(top2) x = ss[--top2];
    140         else x = ++ top1;
    141         ch[x][0] = ch[x][1] = pre[x] = rev[x] = 0 ; 
    142         sz[x] = 1; 
    143         val[x] = mi[x] = c; 
    144     }
    145     inline void push_down(int x)
    146     {
    147        if(rev[x]){
    148            swap(ch[x][0],ch[x][1]);
    149            rev[ch[x][0]] ^= 1;
    150            rev[ch[x][1]] ^= 1;
    151            rev[x] = 0;
    152        }    
    153     }
    154     inline void push_up(int x)
    155     {
    156          sz[x] = 1 + sz[ch[x][0]] + sz[ch[x][1]];
    157          mi[x] = min(val[x],mi[ch[x][0]]) ;    
    158          mi[x] = min(mi[x],mi[ch[x][1]]) ;    
    159     }
    160     inline void makeTree(int &x ,int l ,int r ,int f){
    161         if(l > r ) return;
    162         int m = (l + r) >> 1; 
    163         NewNode(x,num[m].val);
    164     //    printf("%d %d
    ",x,num[m]);
    165         makeTree(ch[x][0],l,m-1,x);
    166         makeTree(ch[x][1],m+1,r,x);
    167         pre[x] = f; 
    168         push_up(x);
    169     }
    170     static bool cmp2(SplayTree::node a, SplayTree::node b)
    171     {
    172       return a.si < b.si;
    173     }
    174     inline void init(int n){
    175         ch[0][0] = ch[0][1] = pre[0] = sz[0] = 0 ; 
    176         rev[0] = 0; 
    177         mi[0] = INT_MAX;
    178     
    179         root = top1 = top2 = 0 ; 
    180 
    181         NewNode(root,INT_MAX);
    182         NewNode(ch[root][1],INT_MAX);
    183         pre[top1] = root;
    184         sz[root] = 2; 
    185         
    186         for(int i = 1 ;i <= n;i ++) 
    187         {
    188             scanf("%d",&num[i].i);
    189             num[i].si = i ; 
    190         }
    191         stable_sort(num+1,num+n+1,cmp);
    192         for(int i = 1;i <= n;i ++)
    193         {
    194             num[i].val = i; 
    195         }
    196         sort(num+1,num+n+1,SplayTree::cmp2);
    197         makeTree(keyTree,1,n,ch[root][1]);
    198         push_up(ch[root][1]);
    199         push_up(root);
    200     }
    201     int mi[maxn];
    202     int rev[maxn];
    203     int val[maxn];
    204 }spt;
    205 int n ; 
    206 int main(){
    207     while(scanf("%d",&n) != EOF && n)
    208     {
    209         spt.init(n);
    210         for(int i = 1;i <= n;i ++)
    211         {
    212             printf(i == 1?"%d":" %d",i-1+spt.findK(n-i+2));
    213         }
    214         printf("
    ");
    215     }
    216 return 0;
    217 }
    View Code
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  • 原文地址:https://www.cnblogs.com/zyue/p/4395919.html
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