• 【洛谷 P3168】 [CQOI2015]任务查询系统(主席树)


    题目链接
    被自己的sb错误调到自闭。。
    主席树的进阶应用。
    (P_i)离散化一下,得到每个(P_i)的排名,然后建一棵维护(m)个位置的主席树,每个结点记录区间总和和正在进行的任务数。
    差分一下,主席树维护前缀和,每个时刻一个(root)
    然后就是线段树里查前(k)小了。

    #include <cstdio>
    #include <algorithm>
    using namespace std;
    const int MAXN = 4000010;
    struct PT{
    	int lc, rc, cnt;
    	long long val;
    }t[MAXN << 2];
    int rk[MAXN];
    struct lsh{
    	int val, id;
    	int operator < (const lsh A) const{
    		return val < A.val;
    	}
    }p[MAXN];
    int n, m;
    struct Edge{
    	int next, to, dis;
    }e[MAXN];
    int head[MAXN], num;
    long long pre = 1;
    inline void Add(int from, int to, int dis){
    	e[++num].to = to; e[num].next = head[from]; e[num].dis = dis; head[from] = num;
    }
    inline int read(){
    	int s = 0, w = 1;
    	char ch = getchar();
    	while(ch < '0' || ch > '9'){ if(ch == '-') w = -1; ch = getchar(); }
    	while(ch >= '0' && ch <= '9'){ s = s * 10 + ch - '0'; ch = getchar(); }
    	return s * w;
    }
    int a[MAXN], b[MAXN], c[MAXN], root[MAXN], cnt, r, A, B, C, X, K;
    inline void pushup(int x){
    	t[x].val = t[t[x].lc].val + t[t[x].rc].val;
    	t[x].cnt = t[t[x].lc].cnt + t[t[x].rc].cnt;
    }
    int build(int l, int r){
    	if(l == r) return ++cnt;
    	int id = ++cnt, mid = (l + r) >> 1;
    	t[id].lc = build(l, mid);
    	t[id].rc = build(mid + 1, r);
    	return id;
    }
    int update(int q, int l, int r, int x, int y){
    	if(l == r){ t[++cnt].val = t[q].val + y; t[cnt].cnt = t[q].cnt + (y > 0 ? 1 : -1); return cnt; }
    	int id = ++cnt, mid = (l + r) >> 1;
    	t[id] = t[q];
    	if(x <= mid) t[id].lc = update(t[q].lc, l, mid, x, y);
    	else t[id].rc = update(t[q].rc, mid + 1, r, x, y);
    	pushup(id);
    	return id;
    }
    long long query(int q, int l, int r, int x){
    	if(l == r) return t[q].val;
    	int mid = (l + r) >> 1;
    	if(t[t[q].lc].cnt >= x) return query(t[q].lc, l, mid, x);
    	else return t[t[q].lc].val + query(t[q].rc, mid + 1, r, x - t[t[q].lc].cnt);
    }
    int main(){
    	m = read(); n = read();
    	for(int i = 1; i <= m; ++i){
    		a[i] = read(); r = max(r, b[i] = read());
    		p[i].id = i; p[i].val = c[i] = read();;
    	}
    	sort(p + 1, p + m + 1);
    	for(int i = 1; i <= m; ++i)
    	   rk[p[i].id] = i;
    	for(int i = 1; i <= m; ++i){
    		Add(  a[i]  , rk[i], c[i]);
    		Add(b[i] + 1, rk[i], -c[i]);
    	}
    	root[0] = build(1, m);
    	for(int i = 1; i <= n; ++i){
    		int tmp = root[i - 1];
    		for(int j = head[i]; j; j = e[j].next)
    		   tmp = update(tmp, 1, m, e[j].to, e[j].dis);
    		root[i] = tmp;
    	}
    	for(int i = 1; i <= n; ++i){
    		X = read(); A = read(); B = read(); C = read();
    		K = ((long long)A * pre + B) % C + 1;
        	printf("%lld
    ", pre = query(root[X], 1, m, K));
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Qihoo360/p/10624165.html
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