• luogu1486 [NOI2004]郁闷的出纳员 (平衡树)


    加的注释,都流着泪。。。
    胡了一种做法,样例都没过,翻题解发现一神仙Remove操作,妙啊!

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    #include <cmath>
    #define R(a,b,c) for(register int  a = (b); a <= (c); ++ a)
    #define nR(a,b,c) for(register int  a = (b); a >= (c); -- a)
    #define Max(a,b) ((a) > (b) ? (a) : (b))
    #define Min(a,b) ((a) < (b) ? (a) : (b))
    #define Fill(a,b) memset(a, b, sizeof(a))
    #define Abs(a) ((a) < 0 ? -(a) : (a))
    #define Swap(a,b) a^=b^=a^=b
    #define ll long long
    
    #define ON_DEBUG
    
    #ifdef ON_DEBUG
    
    #define D_e_Line printf("
    
    ----------
    
    ")
    #define D_e(x)  cout << #x << " = " << x << endl
    #define Pause() system("pause")
    #define FileOpen() freopen("in.txt","r",stdin);
    
    #else
    
    #define D_e_Line ;
    #define D_e(x)  ;
    #define Pause() ;
    #define FileOpen() ;
    
    #endif
    
    struct ios{
        template<typename ATP>ios& operator >> (ATP &x){
            x = 0; int f = 1; char c;
            for(c = getchar(); c < '0' || c > '9'; c = getchar()) if(c == '-')  f = -1;
            while(c >= '0' && c <= '9') x = x * 10 + (c ^ '0'), c = getchar();
            x*= f;
            return *this;
        }
    }io;
    using namespace std;
    
    const int N = 100007;
    
    int minLimit, totLeave;
    struct Treap{
    	int ch[2], fa, val, tot, siz;
    }t[N];
    int root, treeIndex;
    inline void Pushup(int rt){
    	t[rt].siz = t[t[rt].ch[0]].siz + t[t[rt].ch[1]].siz + t[rt].tot;
    }
    inline int Ident(int x){
    	return t[t[x].fa].ch[1] == x;
    }
    inline void Rotate(int x){
    	int y = t[x].fa, z = t[y].fa, k = Ident(x);
    	t[z].ch[Ident(y)] = x, t[x].fa = z;
    	t[y].ch[k] = t[x].ch[k ^ 1], t[t[x].ch[k ^ 1]].fa = y;
    	t[x].ch[k ^ 1] = y, t[y].fa = x;
    	Pushup(y), Pushup(x);
    }
    inline void Splay(int x, int pos){
    	while(t[x].fa != pos){
    		int y = t[x].fa, z = t[y].fa;
    		if(z != pos){
    			Ident(x) == Ident(y) ? Rotate(y) : Rotate(x);
    		}
    		Rotate(x);
    	}
    	if(!pos) root = x;
    }
    inline void Insert(int x){
    	if(x < minLimit) return;
    	int u = root, fa = 0;
    	while(u && t[u].val != x){ // !
    		fa = u;
    		u = t[u].ch[x > t[u].val];
    	}
    	if(u){
    		++t[u].tot;
    	}
    	else{
    		u = ++treeIndex;
    		t[u].ch[0] = t[u].ch[1] = 0;
    		t[u].siz = t[u].tot = 1;
    		t[u].fa = fa;
    		t[u].val = x;
    		if(fa) t[fa].ch[x > t[fa].val] = u;
    	}
    	Splay(u, 0);
    }
    inline void Find(int x){
    	int u = root;
    	if(!u) return;
    	while(t[u].val != x && t[u].ch[x > t[u].val]) u = t[u].ch[x > t[u].val]; // !
    	Splay(u, 0); // !
    	return;
    }
    inline void Add(int x){
    	R(i,1,treeIndex) t[i].val += x;
    }
    inline void Sub(int x){
    	R(i,1,treeIndex) t[i].val -= x;
    }
    
    inline int Next(int x, int type){ // the minimu number >= x
    	Find(x);
    	int u = root;
    	if((t[u].val >= x && type) || (t[u].val < x && !type)) return u; // >= ?
    	u = t[u].ch[type];
    	while(t[u].ch[type ^ 1]) u = t[u].ch[type ^ 1];
    	return u;
    }
    
    inline void Remove(int x){ // %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
        int rt = Next(x + minLimit, 1);
        Splay(rt, 0);
        totLeave += t[t[rt].ch[0]].siz;
        t[rt].ch[0] = 0;
        Pushup(rt);
        Sub(x);
    }
    
    inline int Kth(int x){
    	int u = root;
    	if(t[u].siz <= x) return -1;
    	++x;
    	while(1){
    		int v = t[u].ch[1];
    		if(t[v].siz + t[u].tot < x){
    			x -= t[v].siz + t[u].tot;
    			u = t[u].ch[0];
    		}
    		else if(x <= t[v].siz){ // !
    			u = v;
    		}
    		else
    			return t[u].val;
    	}
    }
    
    int main(){
    //FileOpen();
    //freopen("my.txt","w",stdout);
    	int m;
        io >> m >> minLimit;
    	Insert(2147483647);
    //	Insert(-2147483647);
        while(m --){
    		char opt = getchar();
    		while(opt != 'I' && opt != 'S' && opt != 'A' && opt != 'F') opt = getchar();
    		int x;
            io >> x;
            if(opt == 'I'){
            	Insert(x);
            }
            else if(opt == 'A'){
            	Add(x);
            }
            else if(opt == 'S'){
            	Remove(x);
            }
            else{
            	printf("%d
    ",Kth(x));
            }
        }
        
        printf("%d", totLeave);
        return 0;
    }
    

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  • 原文地址:https://www.cnblogs.com/bingoyes/p/11266639.html
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