poj3468 A Simple Problem with Integers

http://acm.hust.edu.cn:8080/judge/problem/viewProblem.action?id=14607

题意:题目给你n个数,m个操作,接下来一行给你这n个数,接下的几行给出m个操作,Q a b 表示查询区间[a,b]里的数和和。U a b c 表示把区间[a,b]里的数都加上c。

思路:延迟标记,和hdu4107是同一种类型的,这是4107的解题过程http://www.cnblogs.com/ziyi--caolu/archive/2012/12/25/2832368.html

反思:在解题过程中,有些地方没有思考清楚,费了好多时间。比如再往下更新的时候,要和与要加的数一起更新,一开始,我是想成,只更新add,在最后求和的时候,再将add加上,结果这样是错的........

#include<iostream>
using namespace std;
#define N 100005
typedef __int64 ss;
struct
{
	int l,r;
	ss sum,add;
}tree[N*4];
ss a[N];
void creat(int i,int l,int r)
{
	int mid=(l+r)/2;
	tree[i].l=l;
	tree[i].r=r;
	tree[i].sum=tree[i].add=0;
	if(l==r)
	{
		tree[i].sum=a[l];
		return ;
	}
	creat(i*2,l,mid);
	creat(i*2+1,mid+1,r);
	tree[i].sum=tree[i*2].sum+tree[i*2+1].sum;
}
void updata(int i,int l,int r,int c)
{
	if(l<=tree[i].l&&tree[i].r<=r)
	{
		tree[i].add+=c;
		tree[i].sum+=c*(tree[i].r-tree[i].l+1);
		return;
	}
	if(tree[i].add!=0)
	{
		tree[i*2].add+=tree[i].add;
		tree[i*2+1].add+=tree[i].add;
		tree[i*2].sum+=tree[i].add*(tree[i*2].r-tree[i*2].l+1);
		tree[i*2+1].sum+=tree[i].add*(tree[i*2+1].r-tree[i*2+1].l+1);
		tree[i].add=0;
	}
	int mid=(tree[i].l+tree[i].r)/2;
	if(mid>=l)
		updata(i*2,l,r,c);
	if(mid<r)
		updata(i*2+1,l,r,c);
	tree[i].sum=tree[i*2].sum+tree[i*2+1].sum;
}
ss getsum(int i,int l,int r)
{
	if(tree[i].l>=l&&tree[i].r<=r)
	{
		return tree[i].sum;
	}
	if(tree[i].add!=0)
	{
		tree[i*2].add+=tree[i].add;
		tree[i*2+1].add+=tree[i].add;
		tree[i*2].sum+=tree[i].add*(tree[i*2].r-tree[i*2].l+1);
		tree[i*2+1].sum+=tree[i].add*(tree[i*2+1].r-tree[i*2+1].l+1);
		tree[i].add=0;
	}
	int mid=(tree[i].l+tree[i].r)/2;
	ss sum1=0,sum2=0;
	if(mid>=l)
		sum1=getsum(i*2,l,r);
	if(mid<r)
		sum2=getsum(i*2+1,l,r);
	return sum1+sum2;
}
int main()
{
	int n,q;
	while(scanf("%d %d",&n,&q)>0)
	{
		int i;
		for(i=1;i<=n;i++)
			scanf("%I64d",&a[i]);
		creat(1,1,n);
		while(q--)
		{
			char t[10];
			scanf("%s",t);
			if(t[0]=='Q')
			{
				int l,r;
				scanf("%d%d",&l,&r);
				printf("%I64d\n",getsum(1,l,r));
			}
			else
			{
				int l,r,c;
				scanf("%d%d%d",&l,&r,&c);
				updata(1,l,r,c);
			}
		}
	}
	return 0;
}

 

posted @ 2013-01-27 17:14  紫忆  阅读(189)  评论(0编辑  收藏  举报