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  • 【POJ 3580】 SuperMemo

    【题目链接】

               点击打开链接

    【算法】

              本题也是Splay区间操作的模板题,不过要比BZOJ 3223要稍微复杂一些,做完此题后,我终于对Splay有了更深入的理解,有“拨开云雾见青天”的感觉

                本题还是有许多细节的,笔者花了5h才通过了此题

    【代码】

              

    #include <algorithm>
    #include <bitset>
    #include <cctype>
    #include <cerrno>
    #include <clocale>
    #include <cmath>
    #include <complex>
    #include <cstdio>
    #include <cstdlib>
    #include <cstring>
    #include <ctime>
    #include <deque>
    #include <exception>
    #include <fstream>
    #include <functional>
    #include <limits>
    #include <list>
    #include <map>
    #include <iomanip>
    #include <ios>
    #include <iosfwd>
    #include <iostream>
    #include <istream>
    #include <ostream>
    #include <queue>
    #include <set>
    #include <sstream>
    #include <stdexcept>
    #include <streambuf>
    #include <string>
    #include <utility>
    #include <vector>
    #include <cwchar>
    #include <cwctype>
    #include <stack>
    #include <limits.h>
    using namespace std;
    #define MAXN 100000
    const int INF = 2e9;
    
    int i,N,M,d,P,x,y,t;
    int a[MAXN+10];
    string opt;
    
    template <typename T> inline void read(T &x) {
            int f=1; x=0;
            char c = getchar();
            for (; !isdigit(c); c = getchar()) { if (c == '-') f = -f; }
            for (; isdigit(c); c = getchar()) x = x * 10 + c - '0';
            x *= f;
    }
    
    template <typename T> inline void write(T x) {
        if (x < 0) { putchar('-'); x = -x; }
        if (x > 9) write(x/10);
        putchar(x%10+'0');
    }
    
    template <typename T> inline void writeln(T x) {
        write(x);
        puts("");
    }
    
    struct Splay {
            int root,total;
            struct Node {
                    int fa,son[2],size,add,Min,val;
                    bool rev;            
            } Tree[MAXN*2+10];
            inline bool get(int x) {
                    return Tree[Tree[x].fa].son[1] == x;
            }
            inline void build(int index,int l,int r) {
                    int mid = (l + r) >> 1;
                    Tree[index].size = 1;
                    Tree[index].add = Tree[index].rev = 0;
                    Tree[index].val = Tree[index].Min = a[mid];    
                    if (l == r) return;
                    if (l < mid) {
                            ++total;
                            Tree[index].son[0] = total;
                            Tree[total].fa = index;
                            build(total,l,mid-1);
                            Tree[index].size += Tree[Tree[index].son[0]].size;
                            Tree[index].Min = min(Tree[index].Min,Tree[Tree[index].son[0]].Min);
                    }
                    if (mid < r) {
                            ++total;
                            Tree[index].son[1] = total;
                            Tree[total].fa = index;
                            build(total,mid+1,r);
                            Tree[index].size += Tree[Tree[index].son[1]].size;
                            Tree[index].Min = min(Tree[index].Min,Tree[Tree[index].son[1]].Min);
                    }
            }
            inline void new_node(int index,int x,int f) {
                    Tree[index].rev = 0;
                    Tree[index].size = 1;
                    Tree[index].val = Tree[index].Min = x;
                    Tree[index].add = 0;
                    Tree[index].fa = f;
                    Tree[index].son[0] = Tree[index].son[1] = 0;
            }
            inline int query_pos(int x) {
                    int index = root;
                    while (true) {
                            pushdown(index);
                            if (x > Tree[Tree[index].son[0]].size) {
                                    x -= Tree[Tree[index].son[0]].size;
                                    if (x == 1) return index;
                                    --x;
                                    index = Tree[index].son[1];
                            } else index = Tree[index].son[0];
                    }        
            }
            inline void pushdown(int index) {
                    if (Tree[index].rev) {
                            swap(Tree[index].son[0],Tree[index].son[1]);
                            Tree[Tree[index].son[0]].rev ^= 1;
                            Tree[Tree[index].son[1]].rev ^= 1;
                            Tree[index].rev = 0;
                    }
                    if (Tree[index].add) {
                            Tree[Tree[index].son[0]].val += Tree[index].add;
                            Tree[Tree[index].son[1]].val += Tree[index].add;
                            Tree[Tree[index].son[0]].add += Tree[index].add;
                            Tree[Tree[index].son[1]].add += Tree[index].add;
                            Tree[Tree[index].son[0]].Min += Tree[index].add;
                            Tree[Tree[index].son[1]].Min += Tree[index].add;
                            Tree[index].add = 0;
                    }
            }
            inline void update(int index) {
                    Tree[index].size = Tree[Tree[index].son[0]].size + Tree[Tree[index].son[1]].size + 1;
                    Tree[index].Min = Tree[index].val;
                    if (Tree[index].son[0]) Tree[index].Min = min(Tree[index].Min,Tree[Tree[index].son[0]].Min);
                    if (Tree[index].son[1]) Tree[index].Min = min(Tree[index].Min,Tree[Tree[index].son[1]].Min);
            }
            inline void splay(int x,int pos) {
                    int f;
                    for (f = Tree[x].fa; (f = Tree[x].fa) != pos; rotate(x)) {
                            if (Tree[f].fa != pos) 
                                    rotate(get(f) == get(x) ? (f) : (x));
                    }
                    if (!pos) root = x;
            }
            inline void rotate(int x) {
                    int f = Tree[x].fa,g = Tree[f].fa,
                    tmpx = get(x),tmpf = get(f);
                    pushdown(f); pushdown(x);
                    if (!f) return;
                    Tree[f].son[tmpx] = Tree[x].son[tmpx^1];
                    if (Tree[x].son[tmpx^1]) Tree[Tree[x].son[tmpx^1]].fa = f;
                    Tree[x].son[tmpx^1] = f;
                    Tree[f].fa = x;
                    Tree[x].fa = g;
                    if (g) Tree[g].son[tmpf] = x;
                    update(f);
                    update(x);
            }
            inline void Insert(int p,int val) {
                    int x = query_pos(p),
                            y = query_pos(p+1);
                    splay(x,0); splay(y,root);
                    new_node(++total,val,Tree[root].son[1]);
                    Tree[Tree[root].son[1]].son[0] = total;
                    update(Tree[root].son[1]);
                    update(root);    
            }    
            inline void erase(int p) {
                    int x = query_pos(p-1),
                            y = query_pos(p+1);
                    splay(x,0); splay(y,root);
                    Tree[Tree[root].son[1]].son[0] = 0;
                    update(Tree[root].son[1]);
                    update(root);
            }
            inline void add(int l,int r,int v) {
                    int x = query_pos(l-1),
                            y = query_pos(r+1);
                    splay(x,0); splay(y,root);
                    Tree[Tree[Tree[root].son[1]].son[0]].val += v;
                    Tree[Tree[Tree[root].son[1]].son[0]].add += v;
                    Tree[Tree[Tree[root].son[1]].son[0]].Min += v;
                    update(Tree[root].son[1]);
                    update(root);
            }
            inline void reverse(int l,int r) {
                    int x = query_pos(l-1),
                            y = query_pos(r+1);
                    splay(x,0); splay(y,root);
                    Tree[Tree[Tree[root].son[1]].son[0]].rev ^= 1;
            }
            inline int query_min(int l,int r) {
                    int x = query_pos(l-1),
                            y = query_pos(r+1);
                    splay(x,0); splay(y,root);
                    return Tree[Tree[Tree[root].son[1]].son[0]].Min;
            }
            inline void revolve(int l,int r,int t) {
                    int x = query_pos(r-t),
                            y = query_pos(r+1);
                    splay(x,0); splay(y,root);
                    int tmp = Tree[Tree[root].son[1]].son[0];
                    Tree[Tree[root].son[1]].son[0] = 0;
                    update(Tree[root].son[1]);
                    update(root);
                    x = query_pos(l-1); 
                    y = query_pos(l);
                    splay(x,0); splay(y,root);
                    Tree[Tree[root].son[1]].son[0] = tmp;
                    Tree[tmp].fa = Tree[root].son[1];
                    update(Tree[root].son[1]);
                    update(root);
            }
    } T;
    
    int main() {
            
            read(N);
            
            T.root = T.total = 1;
            for (i = 2; i <= N + 1; i++) read(a[i]);
            a[1] = a[N+2] = INF;
            T.build(1,1,N+2);
            
            read(M);
            while (M--) {
                    cin >> opt;
                    if (opt[0] == 'A') {
                            read(x); read(y); read(d); 
                            if (x > y) swap(x,y);
                            T.add(x+1,y+1,d);
                    } else if (opt[0] == 'R' && opt[1] == 'E' && opt[2] == 'V' && opt[3] == 'E'){
                            read(x); read(y);
                            if (x > y) swap(x,y);
                            T.reverse(x+1,y+1);                    
                    } else if (opt[0] == 'R' && opt[1] == 'E' && opt[2] == 'V' && opt[3] == 'O') {
                            read(x); read(y); read(t);
                            if (x > y) swap(x,y);
                            t = (t % (y - x + 1) + y - x + 1) % (y - x + 1); 
                            if (!t) continue;
                            T.revolve(x+1,y+1,t);
                    } else if (opt[0] == 'I') {
                            read(x); read(P);
                            T.Insert(x+1,P);
                    } else if (opt[0] == 'D') {
                            read(x); 
                            T.erase(x+1);
                    } else if (opt[0] == 'M') {
                            read(x); read(y);
                            if (x > y) swap(x,y);
                            writeln(T.query_min(x+1,y+1));
                    }
            }
            
            return 0;
        
    }
    
    
              
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  • 原文地址:https://www.cnblogs.com/evenbao/p/9196411.html
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