One train can just take k passangers. And each passanger can just buy one ticket from station a to station b. Each train cannot take more passangers any time. The one who buy the ticket earlier which can be sold will always get the ticket.
The first line contains just one number k( 1 ≤ k ≤ 1000 ) and Q( 1 ≤ Q ≤ 100000 )
The following lines, each line contains two integers a and b, ( 1 ≤ a < b ≤ 1000000 ), indicate a query.
Huge Input, scanf recommanded.OutputFor each test case, output three lines:
Output the case number in the first line.
If the ith query can be satisfied, output i. i starting from 1. output an blank-space after each number.
Output a blank line after each test case.Sample Input
1 3 6 1 6 1 6 3 4 1 5 1 2 2 4Sample Output
Case 1: 1 2 3 5
题解:线段树区间最大值问题,判断该区间最大值是否大于等于K,判断是否可以乘坐
AC代码为:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
using namespace std;
const int maxn=1e6+10;
int k,q;
struct node{
int l,r,num,tag;
} tree[maxn<<2];
int max(int a,int b)
{
return a>b? a:b;
}
void build(int k,int l,int r)
{
tree[k].l=l,tree[k].r=r;
tree[k].num=0,tree[k].tag=0;
if(l==r) return ;
int mid=(l+r)>>1;
build(k<<1,l,mid);
build(k<<1|1,mid+1,r);
}
void pushup(int k)
{
tree[k].num=max(tree[k<<1].num,tree[k<<1|1].num);
}
void pushdown(int k)
{
tree[k<<1].tag+=tree[k].tag;
tree[k<<1|1].tag+=tree[k].tag;
tree[k<<1].num+=tree[k].tag;
tree[k<<1|1].num+=tree[k].tag;
tree[k].tag=0;
}
void update(int k,int l,int r,int x)
{
if(tree[k].l==l && tree[k].r==r)
{
tree[k].num+=x;
tree[k].tag+=x;
return ;
}
if(tree[k].tag) pushdown(k);
int mid=(tree[k].r+tree[k].l)>>1;
if(r<=mid) update(k<<1,l,r,x);
else if(l>=mid+1) update(k<<1|1,l,r,x);
else
update(k<<1,l,mid,x),update(k<<1|1,mid+1,r,x);
pushup(k);
}
int query(int k,int l,int r)
{
if(tree[k].l==l&&tree[k].r==r)
return tree[k].num;
if(tree[k].tag) pushdown(k);
int mid=(tree[k].l+tree[k].r)>>1;
if(r<=mid) return query(k<<1,l,r);
else if(l>=mid+1) return query(k<<1|1,l,r);
else
return max(query(k<<1,l,mid),query(k<<1|1,mid+1,r));
}
int main()
{
int t,x,y,len=0,flag[maxn],cas=1;
scanf("%d",&t);
while(t--)
{
len=0;
memset(flag,0,sizeof(flag));
scanf("%d%d",&k,&q);
build(1,1,1000000);
for(int i=1;i<=q;i++)
{
scanf("%d%d",&x,&y);
y--;
if(query(1,x,y)<k)
{
flag[len++]=i;
update(1,x,y,1);
}
}
printf("Case %d:
",cas++);
for(int i=0;i<len;i++)
printf("%d ",flag[i]);
printf("
");
}
return 0;
}