ACM-ICPC 2018 南京赛区网络预赛 __G Lpl and Energy-saving Lamps【线段树+模拟】
- 1000ms
- 65536K
During tea-drinking, princess, amongst other things, asked why has such a good-natured and cute Dragon imprisoned Lpl in the Castle? Dragon smiled enigmatically and answered that it is a big secret. After a pause, Dragon added:
— We have a contract. A rental agreement. He always works all day long. He likes silence. Besides that, there are many more advantages of living here in the Castle. Say, it is easy to justify a missed call: a phone ring can't reach the other side of the Castle from where the phone has been left. So, the imprisonment is just a tale. Actually, he thinks about everything. He is smart. For instance, he started replacing incandescent lamps with energy-saving lamps in the whole Castle...
Lpl chose a model of energy-saving lamps and started the replacement as described below. He numbered all rooms in the Castle and counted how many lamps in each room he needs to replace.
At the beginning of each month, Lpl buys mm energy-saving lamps and replaces lamps in rooms according to his list. He starts from the first room in his list. If the lamps in this room are not replaced yet and Lpl has enough energy-saving lamps to replace all lamps, then he replaces all ones and takes the room out from the list. Otherwise, he'll just skip it and check the next room in his list. This process repeats until he has no energy-saving lamps or he has checked all rooms in his list. If he still has some energy-saving lamps after he has checked all rooms in his list, he'll save the rest of energy-saving lamps for the next month.
As soon as all the work is done, he ceases buying new lamps. They are very high quality and have a very long-life cycle.
Your task is for a given number of month and descriptions of rooms to compute in how many rooms the old lamps will be replaced with energy-saving ones and how many energy-saving lamps will remain by the end of each month.
Input
Each input will consist of a single test case.
The first line contains integers n and m(1≤n≤100000,1≤m≤100) — the number of rooms in the Castle and the number of energy-saving lamps, which Lpl buys monthly.
The second line contains nn integers k1,k2,...,kn
(1≤kj≤10000,j=1,2,...,n) — the number of lamps in the rooms of the Castle. The number in position jjis the number of lamps in j-th room. Room numbers are given in accordance with Lpl's list.
The third line contains one integer q(1≤q≤100000) — the number of queries.
The fourth line contains qq integers d1,d2,...,dq
(1≤dp≤100000,p=1,2,...,q) — numbers of months, in which queries are formed.
Months are numbered starting with 1; at the beginning of the first month Lpl buys the first m energy-saving lamps.
Output
Print q lines.
Line p contains two integers — the number of rooms, in which all old lamps are replaced already, and the number of remaining energy-saving lamps by the end of dp month.
Hint
Explanation for the sample:
In the first month, he bought 4 energy-saving lamps and he replaced the first room in his list and remove it. And then he had 1 energy-saving lamps and skipped all rooms next. So, the answer for the first month is 1,1−−−−−−1 room's lamps were replaced already, 1 energy-saving lamp remain.
样例输入
5 4
3 10 5 2 7
10
5 1 4 8 7 2 3 6 4 7样例输出
4 0
1 1
3 6
5 1
5 1
2 0
3 2
4 4
3 6
5 1题目来源
ACM-ICPC 2018 南京赛区网络预赛
题解：线段树基础，求数列中第一个小于等于某个数的数。
AC的C语言代码：
#include
#define ls l,m,rt<<1
#define rs m+1,r,rt<<1|1
#define N 100010
#define INF 0x3f3f3f3f
int a[N];//点信息
int p[N<<2];//区间信息
int d[N];
struct ANS{
int n1,n2;//分别表示替换完成的房间数以及剩余的灯泡数
}ans[N];
int min(int a,int b)
{
return a>1;
Build(ls);
Build(rs);
PushUp(rt);
}
//点修改 A[L]=C
void Update(int L,int C,int l,int r,int rt)
{
if(l==r){
p[rt]=C;
return;
}
int m=(l+r)>>1;
if(L<=m)
Update(L,C,l,m,rt<<1);
else
Update(L,C,m+1,r,rt<<1|1);
PushUp(rt);
}
//区间查询 查询区间[l,r]内第一个小于等于k的数
int Query(int k,int l,int r,int rt)
{
if(p[rt]>k)//如果 [l,r]内所有的数都大于k则不存在 返回0
return 0;
if(l==r)
return l;
int m=(l+r)>>1;
if(p[rt<<1]<=k)//如果在[l,m]区间内
return Query(k,ls);
else if(p[rt<<1|1]<=k)//如果在[m+1,r]区间内
return Query(k,rs);
}
int main()
{
int n,m,q,x,i,pos;
scanf("%d%d",&n,&m);
for(i=1;i<=n;i++)
scanf("%d",&a[i]);
Build(1,n,1);//建树
scanf("%d",&q);
int MAX=0;
for(i=1;i<=q;i++){
scanf("%d",&d[i]);
if(d[i]>MAX)
MAX=d[i];
}
int n1=0,n2=0;//分别表示替换完成的房间数以及剩余的灯泡数
for(i=1;i<=MAX;i++){//模拟MAX个月
if(n1