zoj 3888 Twelves Monkeys 二分+线段树维护次小值
2017-04-25 09:24
295 查看
链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?
problemCode=3888
Twelves Monkeys
Time Limit: 5 Seconds Memory Limit: 32768 KB
James Cole is a convicted criminal living beneath a post-apocalyptic Philadelphia. Many years ago, the Earth's surface had been contaminated by a virus so deadly that it forced
the survivors to move underground. In the years that followed, scientists had engineered an imprecise form of time travel. To earn a pardon, Cole allows scientists to send him on dangerous missions to the past to collect information on the virus,
thought to have been released by a terrorist organization known as the Army of the Twelve Monkeys.
The time travel is powerful so that sicentists can send Cole from year x[i] back to year y[i]. Eventually, Cole finds that Goines is the founder
of the Army of the Twelve Monkeys, and set out in search of him. When they find and confront him, however, Goines denies any involvement with the viruscan. After that, Cole goes back and tells scientists what he knew. He wants to quit the mission
to enjoy life. He wants to go back to the any year before current year, but scientists only allow him to use time travel once. In case of failure, Cole will find at least one route for backup. Please help him to calculate how many years he can go
with at least two routes.
The first line contains three integers n,m,q(1≤ n ≤ 50000, 1≤ m ≤ 50000, 1≤ q ≤ 50000), indicating the maximum year,
the number of time travel path and the number of queries.
The following m lines contains two integers x,y(1≤ y ≤ x ≤ 50000) indicating Cole can travel from year x to
year y.
The following q lines contains one integers p(1≤ p ≤ n) indicating the year Cole is at now
题意:
有m个能够穿越回过去的机器。可是仅仅能用一个,还有q个询问。
输出。当在p点时, 1到p-1 这些点有多少点能够通过两种方式穿越回去。
做法:
首先要穿越,必需要机器的r 大于等于p。这个是二分排序后去找的。
然后用线段树找出这些r大于等于p的机器的l的次小值。
非常明显 次小l 后的全部点都能够用 最小l的机器。和次小l的机器 穿越回那些点。
所以 点的总数是 max(p-l。0)。
数据有问题有m==0 的输入。所以多次SF了,所以加了 m==0的特判。
也能够按n来建树就不存在这个问题了。
problemCode=3888
Twelves Monkeys
Time Limit: 5 Seconds Memory Limit: 32768 KB
James Cole is a convicted criminal living beneath a post-apocalyptic Philadelphia. Many years ago, the Earth's surface had been contaminated by a virus so deadly that it forced
the survivors to move underground. In the years that followed, scientists had engineered an imprecise form of time travel. To earn a pardon, Cole allows scientists to send him on dangerous missions to the past to collect information on the virus,
thought to have been released by a terrorist organization known as the Army of the Twelve Monkeys.
The time travel is powerful so that sicentists can send Cole from year x[i] back to year y[i]. Eventually, Cole finds that Goines is the founder
of the Army of the Twelve Monkeys, and set out in search of him. When they find and confront him, however, Goines denies any involvement with the viruscan. After that, Cole goes back and tells scientists what he knew. He wants to quit the mission
to enjoy life. He wants to go back to the any year before current year, but scientists only allow him to use time travel once. In case of failure, Cole will find at least one route for backup. Please help him to calculate how many years he can go
with at least two routes.
Input
The input file contains multiple test cases.The first line contains three integers n,m,q(1≤ n ≤ 50000, 1≤ m ≤ 50000, 1≤ q ≤ 50000), indicating the maximum year,
the number of time travel path and the number of queries.
The following m lines contains two integers x,y(1≤ y ≤ x ≤ 50000) indicating Cole can travel from year x to
year y.
The following q lines contains one integers p(1≤ p ≤ n) indicating the year Cole is at now
Output
For each test case, you should output one line, contain a number which is the total number of the year Cole can go.Sample Input
9 3 3 9 1 6 1 4 1 6 7 2
Sample Output
5 0 1
Hint
6 can go back to 1 for two route. One is 6-1, the other is 6-7-8-9-1. 6 can go back to 2 for two route. One is 6-1-2, the other is 6-7-8-9-1-2.题意:
有m个能够穿越回过去的机器。可是仅仅能用一个,还有q个询问。
输出。当在p点时, 1到p-1 这些点有多少点能够通过两种方式穿越回去。
做法:
首先要穿越,必需要机器的r 大于等于p。这个是二分排序后去找的。
然后用线段树找出这些r大于等于p的机器的l的次小值。
非常明显 次小l 后的全部点都能够用 最小l的机器。和次小l的机器 穿越回那些点。
所以 点的总数是 max(p-l。0)。
数据有问题有m==0 的输入。所以多次SF了,所以加了 m==0的特判。
也能够按n来建树就不存在这个问题了。
#include <stdio.h> #include <stdlib.h> #include <string.h> #include <limits.h> #include <malloc.h> #include <ctype.h> #include <math.h> #include <string> #include <iostream> #include <algorithm> #include <set> using namespace std; struct point { int l,r; bool operator <(const point &b)const { return r<b.r; } }; point pp[50111]; #define lson l , m , rt << 1 #define rson m + 1 , r , rt << 1 | 1 #define LL int #define inf 1000000 const int maxn = 50010; pair<int,int> max2(pair<int,int> a,pair<int,int> b) { pair<int,int> tem; if(a.first==b.first) { tem.first=tem.second=a.first; } else if(a.first>b.first) { tem.first=b.first; tem.second=min(a.first,b.second); } else if(a.first<b.first) { tem.first=a.first; tem.second=min(b.first,a.second); } return tem; } pair<int,int> big[maxn<<2]; void PushUp(int rt) { big[rt] = max2(big[rt<<1] ,big[rt<<1|1]); } int kk; void build(int l,int r,int rt) { big[rt].second=inf; if (l == r) { big[rt].first=pp[kk++].l; return ; } int m = (l + r) >> 1; build(lson); build(rson); PushUp(rt); } pair<int,int> query(int L,int R,int l,int r,int rt) { if (L <= l && r <= R) { return big[rt]; } int m = (l + r) >> 1; if(L<=m&&m<R) return max2(query(L , R , lson),query(L , R , rson)); if (L <= m) return query(L , R , lson); if (m < R) return query(L , R , rson); } int cmp(point a,point b) { return a.r<b.r; } int main() { int i,a,b; int m,q; int n; while(scanf("%d%d%d",&n,&m,&q)!=EOF) { //if(m==0) 加了就超时 感觉有m==0的案例 //while(1); kk=1; int ge=0; for(i=1;i<=m;i++) scanf("%d%d",&pp[i].r,&pp[i].l); sort(pp+1,pp+m+1); if(m)//之前m等于0 也建树 被坑死了 build(1,m,1); while(q--) { int p; scanf("%d",&p); if(!m) { puts("0"); continue; } point tt; tt.r=p; int wei=lower_bound(pp+1,pp+m+1,tt)-pp; if(wei==m+1)//找不到 { puts("0"); continue; } pair<int,int> tem,t2; tem=query(wei,m,1,m,1); if(tem.second==inf) puts("0"); else printf("%d\n",max(0,p-tem.second)); } } return 0; }
相关文章推荐
- zoj 3888 Twelves Monkeys 二分+线段树维护次小值
- 主席树(动态维护第k大的树)zoj2112
- ZOJ 3659 Conquera New Region(并查集:维护根节点信息)
- zoj_3888_7/27浙大月赛H
- ZOJ 3649 Social Net 最大生成树 + 并查集维护
- ZOJ 3888 Twelves Monkeys (预处理+优先队列)
- ZOJ 3888 Twelves Monkeys
- ZOJ 3888
- ZOJ 3573 Under Attack (线段树两边维护最大值)
- ZOJ 3888 Twelves Monkeys (优先队列+预处理)
- ZOJ 3963 Heap Partition set维护。给一个序列,将其划分成尽量少的序列,使每一个序列满足按照顺序构造二叉树,父母的值<=孩子的值。
- zoj 3363 线段树维护最大值 Alice's present
- Cookie Choice II ZOJ - 3297 头尾指针维护
- 【主席树】 ZOJ 2112 Dynamic Rankings 区间第k小值
- ZOJ 3888 Twelves Monkeys
- ZOJ 3888 Twelves Monkeys
- zoj 3888 Twelves Monkeys(zoj 2015年7月月赛)
- ZOJ 3888 Twelves Monkeys (预处理+优先队列)
- zoj 3888 线段树 ***
- 易于维护的邮件系统给企业带来的价值