POJ--3468（线段树，区间修改，模板）

A Simple Problem with Integers

Submit Status

Description

You have N integers, A₁, A₂, ... , A_N. You need to deal with two kinds of operations. One type of operation is to add some given number to each number in a given interval. The other is
to ask for the sum of numbers in a given interval.

Input

The first line contains two numbers N and Q. 1 ≤ N,Q ≤ 100000.

The second line contains N numbers, the initial values of A₁, A₂, ... , A_N. -1000000000 ≤ A_i ≤ 1000000000.

Each of the next Q lines represents an operation.

"C abc" means adding c to each of A_a, A_a+1, ... , A_b. -10000 ≤ c ≤ 10000.

"Q ab" means querying the sum of A_a, A_a+1, ... , A_b.

Output

You need to answer all Q commands in order. One answer in a line.

Sample Input

10 5
1 2 3 4 5 6 7 8 9 10
Q 4 4
Q 1 10
Q 2 4
C 3 6 3
Q 2 4

Sample Output

4
55
9
15

抄的大神的模板，注意懒惰标记的下传

代码：

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<string>
#include<cmath>
#include<queue>
#include<vector>
#include<map>
#include<set>
#define INF 0x3f3f3f3f
#define mem(a,b) memset(a,b,sizeof(a))
using namespace std;
const int maxd=100000+5;
const int maxn=10000+5;
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1 | 1
typedef long long ll;
typedef pair<int,int> pii;
//---------------------------
int q,n;
ll add[maxd<<2],sum[maxd<<2];

void pushup(int rt)
{
    sum[rt]=sum[rt<<1]+sum[rt<<1|1];
}

void pushdown(int rt,int m)
{
    if(add[rt])
    {
        add[rt<<1]+=add[rt];
        add[rt<<1|1]+=add[rt];
        sum[rt<<1]+=(add[rt] *(m-(m>>1)));
        sum[rt<<1|1]+=add[rt]*(m>>1);
        add[rt]=0;
    }
}

void build(int l,int r,int rt)
{
    add[rt]=0;
    if(l==r)
    {
        scanf("%lld",&sum[rt]);
        return;
    }
    int m=(l+r)>>1;
    build(lson);
    build(rson);
    pushup(rt);
}

void update(int L,int R,int c,int l,int r,int rt)
{
    if(L<=l && r<=R)
    {
        add[rt]+=c;
        sum[rt]+=(ll) c*(r-l+1);
        return;
    }
    pushdown(rt,r-l+1);
    int m=(l+r)>>1;
    if(L<=m) update(L,R,c,lson);
    if(m<R) update(L,R,c,rson);
    pushup(rt);
}

ll query(int L,int R,int l,int r,int rt)
{
    if(L<=l && r<=R)
    {
        return sum[rt];
    }
    pushdown(rt,r-l+1);
    int m=(l+r)>>1;
    ll ret=0;
    if(L<=m) ret+=query(L,R,lson);
    if(m<R) ret+=query(L,R,rson);
    return ret;
}

int main()
{
    int kase;
    freopen("1.txt","r",stdin);
    while(scanf("%d%d",&n,&q)!=EOF)
    {
        build(1,n,1);
        while(q--)
        {
            char op[5];
            int a,b,c;
            scanf("%s",op);
            if(op[0]=='C')
            {
                scanf("%d%d%d",&a,&b,&c);
                update(a,b,c,1,n,1);
            }
            else
            {
                scanf("%d%d",&a,&b);
                printf("%lld\n",query(a,b,1,n,1));
            }
        }
    }
    return 0;
}