首页 > 代码库 > poj2828 buy tickets(线段树单点更新)

poj2828 buy tickets(线段树单点更新)

题目链接:

huangjing

思路:

因为给出了n条插入,所以如果正推的话,那么后面插的会影响到最后所在的位置,所以考虑逆序解决,那么如果此人站在第i个人的位置,那么这个人前面必然有i个空位置没占,因为是从后向前考虑的,所以每次更新的时候就要考虑在前面存在i个空位的位置后插入这个人,那么最后得到的序列就是满足条件的。。
题目:
Language:
Buy Tickets
Time Limit: 4000MS Memory Limit: 65536K
Total Submissions: 13705 Accepted: 6846

Description

Railway tickets were difficult to buy around the Lunar New Year in China, so we must get up early and join a long queue…

The Lunar New Year was approaching, but unluckily the Little Cat still had schedules going here and there. Now, he had to travel by train to Mianyang, Sichuan Province for the winter camp selection of the national team of Olympiad in Informatics.

It was one o’clock a.m. and dark outside. Chill wind from the northwest did not scare off the people in the queue. The cold night gave the Little Cat a shiver. Why not find a problem to think about? That was none the less better than freezing to death!

People kept jumping the queue. Since it was too dark around, such moves would not be discovered even by the people adjacent to the queue-jumpers. “If every person in the queue is assigned an integral value and all the information about those who have jumped the queue and where they stand after queue-jumping is given, can I find out the final order of people in the queue?” Thought the Little Cat.

Input

There will be several test cases in the input. Each test case consists of N + 1 lines where N (1 ≤ N ≤ 200,000) is given in the first line of the test case. The next N lines contain the pairs of values Posi and Vali in the increasing order of i (1 ≤ i ≤ N). For each i, the ranges and meanings of Posi and Vali are as follows:

  • Posi ∈ [0, i ? 1] — The i-th person came to the queue and stood right behind the Posi-th person in the queue. The booking office was considered the 0th person and the person at the front of the queue was considered the first person in the queue.
  • Vali ∈ [0, 32767] — The i-th person was assigned the value Vali.

There no blank lines between test cases. Proceed to the end of input.

Output

For each test cases, output a single line of space-separated integers which are the values of people in the order they stand in the queue.

Sample Input

4
0 77
1 51
1 33
2 69
4
0 20523
1 19243
1 3890
0 31492

Sample Output

77 33 69 51
31492 20523 3890 19243

Hint

The figure below shows how the Little Cat found out the final order of people in the queue described in the first test case of the sample input.

Source

POJ Monthly--2006.05.28, Zhu, Zeyuan

代码:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<map>
#include<vector>
#include<cmath>
#include<string>
#include<queue>
#define eps 1e-9
#define ll long long
#define INF 0x3f3f3f3f
#define lson l,mid,dex<<1
#define rson mid+1,r,dex<<1|1
using namespace std;
const int maxn=200000+10;

int tree[maxn<<2],ans[maxn],pos[maxn],val[maxn],n;

void push_up(int dex)
{
    tree[dex]=tree[dex<<1]+tree[dex<<1|1];
}

void buildtree(int l,int r,int dex)
{
    if(l==r)
    {
        tree[dex]=1;
        return;
    }
    int mid=(l+r)>>1;
    buildtree(lson);
    buildtree(rson);
    push_up(dex);
}

int update(int l,int r,int dex,int p)
{
    tree[dex]--;
    if(l==r)
        return l;
    int mid=(l+r)>>1;
    if(tree[dex<<1]>=p) update(lson,p);
    else
    {
        p=p-tree[dex<<1];
        update(rson,p);
    }
}


int main()
{
    int ly;
    while(~scanf("%d",&n))
    {
        for(int i=1;i<=n;i++)
        {
            scanf("%d%d",&pos[i],&val[i]);
            pos[i]++;
        }
        buildtree(1,n,1);
        for(int i=n;i>=1;i--)
        {
            ly=update(1,n,1,pos[i]);
            ans[ly]=val[i];
        }
        for(int i=1;i<n;i++)
          printf("%d ",ans[i]);
        printf("%d\n",ans[n]);
    }
    return 0;
}





poj2828 buy tickets(线段树单点更新)