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POJ3468_A Simple Problem with Integers(线段树/成段更新)

2024-07-16 14:03:37   230人阅读

解题报告

题意：

略

思路：

线段树成段更新，区间求和。

#include <iostream>
#include <cstring>
#include <cstdio>
#define LL long long
#define int_now int l,int r,int root
using namespace std;
LL sum[500000],lazy[500000];
void push_up(int root,int l,int r)
{
    sum[root]=sum[root*2]+sum[root*2+1] + lazy[root]*(r-l+1);
}
void update(int root,int l,int r,int ql,int qr,LL v)
{
    if(ql>r||qr<l)return;
    if(ql<=l&&r<=qr)
    {
        lazy[root]+=v;
        sum[root]+=v*(r-l+1);
        return ;
    }
    int mid=(l+r)/2;
    update(root*2,l,mid,ql,qr,v);
    update(root*2+1,mid+1,r,ql,qr,v);
    push_up(root,l,r);
}
LL q_sum(int root,int l,int r,int ql,int qr,LL add)
{
    if(ql>r||qr<l)return 0;
    if(ql<=l&&r<=qr)return sum[root]+add*(r-l+1);
    int mid=(l+r)/2;
    return q_sum(root*2,l,mid,ql,qr,add+lazy[root])+q_sum(root*2+1,mid+1,r,ql,qr,add+lazy[root]);
}
int main()
{
    int n,q,i,j,ql,qr;
    LL a;
    scanf("%d%d",&n,&q);
    for(i=1; i<=n; i++)
    {
        scanf("%lld",&a);
        update(1,1,n,i,i,a);
    }
    char str[10];
    for(i=1; i<=q; i++)
    {
        scanf("%s",str);
        if(str[0]=='Q')
        {
            scanf("%d%d",&ql,&qr);
            printf("%lld\n",q_sum(1,1,n,ql,qr,0));
        }
        else
        {
            scanf("%d%d%lld",&ql,&qr,&a);
            update(1,1,n,ql,qr,a);
        }
    }
    return 0;
}

A Simple Problem with Integers
Time Limit: 5000MS Memory Limit: 131072K
Total Submissions: 60817 Accepted: 18545
Case Time Limit: 2000MS

Description

You have N integers, A1, A2, ... , AN. 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, ... , AN. -1000000000 ≤ Ai ≤ 1000000000.
Each of the next Q lines represents an operation.
"C a b c" means adding c to each of Aa, Aa+1, ... , Ab. -10000 ≤ c ≤ 10000.
"Q a b" means querying the sum of Aa, Aa+1, ... , Ab.

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

Hint

The sums may exceed the range of 32-bit integers.


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