Mayor‘s posters

此博客讨论了一个关于在10000000字节长度的选举墙上张贴海报的问题。每个候选人只能张贴一张海报,且必须覆盖连续的墙段。随着竞选的进行,后张贴的海报可能会覆盖先前的海报。任务是确定所有海报张贴完毕后,能看到多少张至少部分可见的海报。通过使用线段树的数据结构和逆序处理海报的插入,可以有效地解决这个问题。博主分享了算法实现并给出了样例输入和输出。

The citizens of Bytetown, AB, could not stand that the candidates in the mayoral election campaign have been placing their electoral posters at all places at their whim. The city council has finally decided to build an electoral wall for placing the posters and introduce the following rules:
Every candidate can place exactly one poster on the wall.
All posters are of the same height equal to the height of the wall; the width of a poster can be any integer number of bytes (byte is the unit of length in Bytetown).
The wall is divided into segments and the width of each segment is one byte.
Each poster must completely cover a contiguous number of wall segments.

They have built a wall 10000000 bytes long (such that there is enough place for all candidates). When the electoral campaign was restarted, the candidates were placing their posters on the wall and their posters differed widely in width. Moreover, the candidates started placing their posters on wall segments already occupied by other posters. Everyone in Bytetown was curious whose posters will be visible (entirely or in part) on the last day before elections.
Your task is to find the number of visible posters when all the posters are placed given the information about posters’ size, their place and order of placement on the electoral wall.
Input
The first line of input contains a number c giving the number of cases that follow. The first line of data for a single case contains number 1 <= n <= 10000. The subsequent n lines describe the posters in the order in which they were placed. The i-th line among the n lines contains two integer numbers li and ri which are the number of the wall segment occupied by the left end and the right end of the i-th poster, respectively. We know that for each 1 <= i <= n, 1 <= li <= ri <= 10000000. After the i-th poster is placed, it entirely covers all wall segments numbered li, li+1 ,… , ri.
Output
For each input data set print the number of visible posters after all the posters are placed.

The picture below illustrates the case of the sample input

1
5
1 4
2 6
8 10
3 4
7 10
Sample Output
4

题意就是向一张墙上贴海报,问最后能看见几张海报

1,先贴的海报会被后贴的海报覆盖,
2,每张只要露出一点就算看见
将海报的左右坐标当成线段树的点,倒序添加,如果后添加的海报完全被覆盖就不添加

#include<stdio.h>
#include<map>
#include<string.h>
#include<algorithm>
using namespace std;
#define inf 0x3f3f3f3f
struct node
{
    int l,r;
} a[10005];
const int N=1e7+5;
bool tree[N<<2];
bool updata(int l,int r,int rt,int ul,int ur)
{
    if(tree[rt])  return false;
    if(ul==l&&ur==r)  return tree[rt]=true;

    bool res;
    int mid=l+r>>1;
    if(ur<=mid)  res=updata(l,mid,rt<<1,ul,ur);
    else if(ul>mid)  res=updata(mid+1,r,rt<<1|1,ul,ur);
    else
    {
        bool ans1=updata(l,mid,rt<<1,ul,mid);
        bool ans2=updata(mid+1,r,rt<<1|1,mid+1,ur);
        res=ans1||ans2;
    }

    if(tree[rt<<1]&&tree[rt<<1|1]) tree[rt]=true;
    return res;
}

int main()
{
    int n,t,i;
    scanf("%d",&t);
    while(t--)
    {
        memset(tree,0,sizeof(tree));
        int maxx=0,ans=0;
        scanf("%d",&n);
        for(i=0; i<n; i++)
        {
            scanf("%d%d",&a[i].l,&a[i].r);
            maxx=max(maxx,a[i].r);
        }
        for(i=n-1; i>=0; i--)
        {
            if(updata(1,maxx,1,a[i].l,a[i].r))
                ans++;
        }
        printf("%d\n",ans);
    }
    return 0;
}
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