[题解]bzoj 3223 文艺平衡树

3223: Tyvj 1729 文艺平衡树

Time Limit: 10 Sec  Memory Limit: 128 MB
Submit: 3884  Solved: 2235
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Description

您需要写一种数据结构（可参考题目标题），来维护一个有序数列，其中需要提供以下操作：翻转一个区间，例如原有序序列是5 4 3 2 1，翻转区间是[2,4]的话，结果是5 2 3 4 1

Input

第一行为n,m n表示初始序列有n个数，这个序列依次是(1,2……n-1,n)  m表示翻转操作次数
接下来m行每行两个数[l,r] 数据保证 1<=l<=r<=n

Output

输出一行n个数字，表示原始序列经过m次变换后的结果

Sample Input

5 3

1 3

1 3

1 4

Sample Output

4 3 2 1 5

HINT

N,M<=100000

Source

平衡树

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---

　　　　不是特别难，打个lazy标记就行了，详见[Splay]

 /**
  * bzoj
  * Problem#3223
  * Accepted
  * Time:2012ms
  * Memory:4336k
  */
 #include<iostream>
 #include<fstream>
 #include<sstream>
 #include<cstdio>
 #include<cstdlib>
 #include<cstring>
 #include<ctime>
 #include<cctype>
 #include<cmath>
 #include<algorithm>
 #include<stack>
 #include<queue>
 #include<set>
 #include<map>
 #include<vector>
 using namespace std;
 typedef bool boolean;
 #define smin(a, b)    (a) = min((a), (b))
 #define smax(a, b)    (a) = max((a), (b))
 template<typename T>
 inline void readInteger(T& u){
     char x;
     int aFlag = ;
     while(!isdigit((x = getchar())) && x != '-' && x != -);
     if(x == -)    return;
     if(x == '-'){
         x = getchar();
         aFlag = -;
     }
     for(u = x - ''; isdigit((x = getchar())); u = (u << ) + (u << ) + x - '');
     ungetc(x, stdin);
     u *= aFlag;
 }

 template<typename T>
 class SplayNode {
     public:
         T data;
         int s;
         boolean lazy;
         SplayNode* next[];
         SplayNode* father;
         SplayNode():s(), lazy(){
             memset(next, , sizeof(next));
         }
         SplayNode(T data, SplayNode* father):data(data), father(father), s(), lazy(){
             memset(next, , sizeof(next));
         }
         int cmp(T a){
             if(a == data)    return -;
             return (a > data) ? () : ();
         }
         int getWhich(SplayNode* p){
             return (next[] == p) ? () : ();
         }
         void maintain(){
             s = ;
             for(int i = ; i < ; i++)
                 if(next[i] != NULL)
                     s += next[i]->s;
         }
         void pushDown(){
             swap(next[], next[]);
             for(int i = ; i < ; i++)
                 if(next[i] != NULL)
                     next[i]->lazy ^= ;
             lazy = false;
         }
 };

 template<typename T>
 class Splay {
     protected:
         inline static void rotate(SplayNode<T>*& node, int d){
             SplayNode<T> *father = node->father;
             SplayNode<T> *newRoot = node->next[d ^ ];
             if(newRoot->lazy)    newRoot->pushDown();
             node->next[d ^ ] = newRoot->next[d];
             node->father = newRoot;
             newRoot->next[d] = node;
             newRoot->father = father;
             if(node->next[d ^ ] != NULL)    node->next[d ^ ]->father = node;
             if(father != NULL)    father->next[father->getWhich(node)] = newRoot;
             node->maintain();
             node->father->maintain();
         }

         static SplayNode<T>* insert(SplayNode<T>*& node, SplayNode<T>* father, T data){
             if(node == NULL){
                 node = new SplayNode<T>(data, father);
                 return node;
             }
             int d = node->cmp(data);
             if(d == -)    return NULL;
             SplayNode<T>* res = insert(node->next[d], node, data);
             if(res != NULL)    node->maintain();
             return res;
         }

         static SplayNode<T>* findKth(SplayNode<T>*& node, int k){
             if(node->lazy)    node->pushDown();
             int ls = (node->next[] != NULL) ? (node->next[]->s) : ();
             if(k >= ls +  && k <= ls + )    return node;
             if(k <= ls)    return findKth(node->next[], k);
             return findKth(node->next[], k - ls - );
         }

     public:
         SplayNode<T> *root;

         Splay(){    }

         inline void splay(SplayNode<T>* node, SplayNode<T>* father){
             if(node == father)    return;
             while(node->father != father){
                 SplayNode<T>* f = node->father;
                 int fd = f->getWhich(node);
                 SplayNode<T>* ff = f->father;
                 if(ff == father){
                     rotate(f, fd ^ );
                     break;
                 }
                 int ffd = ff->getWhich(f);;
                 if(ffd == fd){
                     rotate(ff, ffd ^ );
                     rotate(f, fd ^ );
                 }else{
                     rotate(f, fd ^ );
                     rotate(ff, ffd ^ );
                 }
             }
             if(father == NULL)
                 root = node;
         }

         inline SplayNode<T>* insert(T data){
             SplayNode<T>* res = insert(root, NULL, data);
             if(res != NULL)    splay(res, NULL);
             return res;
         }

         inline SplayNode<T>* findKth(int k, SplayNode<T>* father){
             if(k <=  || k > root->s)    return NULL;
             SplayNode<T>* p = findKth(root, k);
             splay(p, father);
             return p;
         }

         SplayNode<T>* split(int from, int end){
             if(from > end)    return NULL;
             if(from ==  && end == root->s){
                 findKth(, NULL);
                 return this->root;
             }
             if(from == ){
                 findKth(end + , NULL);
                 findKth(from, root);
                 return root->next[];
             }
             if(end == root->s){
                 findKth(from - , NULL);
                 findKth(end, root);
                 return root->next[];
             }
             findKth(end + , NULL);
             findKth(from - , root);
             return root->next[]->next[];
         }

         void out(SplayNode<T>* node){
             if(node == NULL)    return;
             if(node->lazy)    node->pushDown();
             out(node->next[]);
             printf("%d ", node->data);
             out(node->next[]);
         }

         void debugOut(SplayNode<T>* node){    //调试使用函数，打印Splay
             if(node == NULL)    return;
             cout << node->data << "(" << node->s << "," << ((node->father == NULL) ? (-) : (node->father->data)) << "," << node->lazy << "){";
             debugOut(node->next[]);
             cout <<    ",";
             debugOut(node->next[]);
             cout << "}";
         }
 };

 int n, m;
 Splay<int> s;

 int main(){
     readInteger(n);
     readInteger(m);
     for(int i = ; i <= n; i++){
         s.insert(i);
     }
     for(int i = , a, b; i<= m; i++){
         readInteger(a);
         readInteger(b);
         if(a == b)    continue;
         SplayNode<int>* p = s.split(a, b);
         p->lazy ^= ;
     }
     s.out(s.root);
     return ;
 }