zoukankan      html  css  js  c++  java
  • HDU 4417-Super Mario-线段树+离线

    Description

    Mario is world-famous plumber. His “burly” figure and amazing jumping ability reminded in our memory. Now the poor princess is in trouble again and Mario needs to save his lover. We regard the road to the boss’s castle as a line (the length is n), on every integer point i there is a brick on height hi. Now the question is how many bricks in [L, R] Mario can hit if the maximal height he can jump is H.

    Input

    The first line follows an integer T, the number of test data.
    For each test data:
    The first line contains two integers n, m (1 <= n <=10^5, 1 <= m <= 10^5), n is the length of the road, m is the number of queries.
    Next line contains n integers, the height of each brick, the range is [0, 1000000000].
    Next m lines, each line contains three integers L, R,H.( 0 <= L <= R < n 0 <= H <= 1000000000.)

    Output

    For each case, output "Case X: " (X is the case number starting from 1) followed by m lines, each line contains an integer. The ith integer is the number of bricks Mario can hit for the ith query.

    Sample Input

    1
    10 10
    0 5 2 7 5 4 3 8 7 7 
    2 8 6
    3 5 0
    1 3 1
    1 9 4
    0 1 0
    3 5 5
    5 5 1
    4 6 3
    1 5 7
    5 7 3
    

    Sample Output

    Case 1:
    4
    0
    0
    3
    1
    2
    0
    1
    5
    1
    

    题目大意:

    线段树的区间查询,查询区间[l,r]中<=h的数的个数。

    核心思想:

    线段树+离线。

    代码如下:

    #include<cstdio>
    #include<iostream>
    #include<algorithm>
    using namespace std;
    typedef long long ll;
    const int N=1e5+20;
    struct node{
    	int x,id;
    }a[N];
    struct Node{
    	int l,r,h,id,chu;
    }que[N];
    struct tnode{
    	int l,r,sum;
    }tr[N<<2];
    bool cmp0(node p,node q)
    {
    	return p.x<q.x;
    }
    bool cmp1(Node p,Node q)
    {
    	return p.h<q.h;
    }
    bool cmp2(Node p,Node q)
    {
    	return p.id<q.id;
    }
    void pushup(int m)
    {
    	tr[m].sum=tr[m<<1].sum+tr[m<<1|1].sum;
    	return;
    }
    void build(int m,int l,int r)
    {
    	tr[m].l=l;
    	tr[m].r=r;
    	if(l==r)
    	{
    		tr[m].sum=0;
    		return;
    	}
    	int mid=(l+r)>>1;
    	build(m<<1,l,mid);
    	build(m<<1|1,mid+1,r);
    	pushup(m);
    	return;
    }
    void update(int m,int x)
    {
    	if(tr[m].l==x&&tr[m].r==x)
    	{
    		tr[m].sum=1;
    		return;
    	}
    	int mid=(tr[m].l+tr[m].r)>>1;
    	if(x<=mid)
    		update(m<<1,x);
    	else
    		update(m<<1|1,x);
    	pushup(m);
    	return;
    }
    int query(int m,int l,int r)
    {
    	if(tr[m].l==l&&tr[m].r==r)
    		return tr[m].sum;
    	int mid=(tr[m].l+tr[m].r)>>1;
    	if(r<=mid)
    		return query(m<<1,l,r);
    	if(l>mid)
    		return query(m<<1|1,l,r);
    	return query(m<<1,l,mid)+query(m<<1|1,mid+1,r);
    }
    int main()
    {
    	int T,ca=0;
    	cin>>T;
    	while(T--)
    	{
    		int n,m;
    		//输入并建树 
    		scanf("%d%d",&n,&m);
    		build(1,1,n);
    		for(int i=1;i<=n;i++)
    		{
    			scanf("%d",&a[i].x);
    			a[i].id=i;
    		}
    		//排序,小的先进树 
    		sort(a+1,a+1+n,cmp0);
    		//离线处理 
    		for(int i=1;i<=m;i++)
    		{
    			scanf("%d%d%d",&que[i].l,&que[i].r,&que[i].h);
    			que[i].l++;
    			que[i].r++;
    			que[i].id=i;
    		}
    		sort(que+1,que+1+m,cmp1);
    		//边更新边离线查询 
    		int k=1;
    		for(int i=1;i<=m;i++)
    		{
    			while(k<=n&&a[k].x<=que[i].h)
    			{
    				update(1,a[k].id);
    				k++;
    			}
    			que[i].chu=query(1,que[i].l,que[i].r);
    		}
    		//把顺序sort回来,输出 
    		sort(que+1,que+1+m,cmp2);
    		printf("Case %d:
    ",++ca);
    		for(int i=1;i<=m;i++)
    			printf("%d
    ",que[i].chu);
    	}
    	return 0;
    }
    
  • 相关阅读:
    【51NOD 1478】括号序列的最长合法子段
    【BZOJ 3527】【ZJOI 2014】力
    【BZOJ 2194】快速傅立叶之二
    【CodeVS 3123】高精度练习之超大整数乘法 &【BZOJ 2197】FFT快速傅立叶
    【BZOJ 2693】jzptab
    【BZOJ 2154】Crash的数字表格
    【BZOJ 3529】【SDOI 2014】数表
    【BZOJ 2820】YY的GCD
    【BZOJ 2301】【HAOI 2011】Problem b
    【POJ 3294】Life Forms 不小于k个字符串中的最长子串
  • 原文地址:https://www.cnblogs.com/NothingbutFight/p/11307383.html
Copyright © 2011-2022 走看看