• Tree Recovery


    链接:https://www.nowcoder.com/acm/contest/77/H
    来源:牛客网

    Tree Recovery
    时间限制:C/C++ 1秒,其他语言2秒
    空间限制:C/C++ 131072K,其他语言262144K
    64bit IO Format: %lld

    题目描述

    You have N integers, A1A2, ... , 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.
     

    输入描述:

    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.

    输出描述:

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

    输入

    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

    输出

    4
    55
    9
    15

     1 #include<bits/stdc++.h>  
     2 using namespace std;  
     3 #define lson rt<<1  
     4 #define rson rt<<1|1  
     5 #define ll long long  
     6 const int maxn=1e5+7;  
     7 ll a[maxn],add[maxn<<2];  
     8 struct node  
     9 {  
    10     int left,right,mid;  
    11     ll sum;  
    12 }c[maxn<<2];  
    13 void build(int l,int r,int rt)  
    14 {  
    15     add[rt]=0;  
    16     c[rt].left=l;  
    17     c[rt].right=r;  
    18     c[rt].mid=(l+r)>>1;  
    19     if(l==r)  
    20     {  
    21         c[rt].sum=a[l];  
    22         return;  
    23     }  
    24     build(l,c[rt].mid,lson);  
    25     build(c[rt].mid+1,r,rson);  
    26     c[rt].sum=c[lson].sum+c[rson].sum;  
    27 }  
    28 void Push_down(int rt)  
    29 {  
    30     if(add[rt]!=0)  
    31     {  
    32         add[lson]+=add[rt];  
    33         add[rson]+=add[rt];  
    34         //这里注意,add[lson],add[rson]此时不一定已经更新了,  
    35         //因此是在原来的基础上加,不是直接赋值  
    36         c[lson].sum+=(c[lson].right-c[lson].left+1)*add[rt];  
    37         c[rson].sum+=(c[rson].right-c[rson].left+1)*add[rt];  
    38         add[rt]=0;  
    39     }  
    40 }  
    41 void update(int l,int r,ll C,int rt)  
    42 {  
    43     if(l<=c[rt].left&&r>=c[rt].right)  
    44     {  
    45         add[rt]+=C;  
    46         c[rt].sum+=(c[rt].right-c[rt].left+1)*C;  
    47         return;  
    48     }  
    49     Push_down(rt);  
    50     if(l<=c[rt].mid)update(l,r,C,lson);  
    51     if(r>c[rt].mid)update(l,r,C,rson);  
    52     c[rt].sum=c[lson].sum+c[rson].sum;  
    53 }  
    54 ll query(int l,int r,int rt)  
    55 {  
    56     if(l<=c[rt].left&&r>=c[rt].right)  
    57         {  
    58             return c[rt].sum;  
    59         }  
    60     Push_down(rt);  
    61     int m=(c[rt].left+c[rt].right)>>1;  
    62     ll ans=0;  
    63     if(l<=m)ans+=query(l,r,lson);  
    64     if(r>m) ans+=query(l,r,rson);  
    65     return ans;  
    66 }  
    67 int main()  
    68 {  
    69     ll n,Q,i,j;  
    70     scanf("%lld%lld",&n,&Q);  
    71     for(i=1;i<=n;i++)  
    72         scanf("%lld",&a[i]);  
    73     build(1,n,1);  
    74     while(Q--)  
    75     {  
    76         char t[5];int x,y;  
    77         scanf("%s%d%d",&t,&x,&y);  
    78         if(t[0]=='C')  
    79         {  
    80             ll z;scanf("%lld",&z);  
    81             update(x,y,z,1);  
    82         }  
    83         else  
    84         {  
    85              printf("%lld
    ",query(x,y,1));  
    86         }  
    87     }  
    88     return 0;  
    89 }  
    View Code
     1 #include<stdio.h>
     2 int main()
     3 {
     4     int n,m,x,y,sum,i,z,a[100002];
     5     char f;
     6     scanf("%d%d",&n,&m);
     7     for(i=1;i<=n;i++)
     8         scanf("%d",&a[i]);
     9         getchar();
    10         while(m--)
    11     {
    12         sum=0;
    13         scanf("%c",&f);
    14   
    15     if(f=='C')
    16     {scanf("%d%d%d",&x,&y,&z);
    17         for(i=x;i<=y;i++)
    18             a[i]+=z;
    19     }
    20     if(f=='Q')
    21     {
    22         scanf("%d%d",&x,&y);
    23         for(i=x;i<=y;i++)
    24             sum+=a[i];
    25         printf("%d
    ",sum);
    26     }
    27     getchar();
    28     }
    29     return 0;
    30 }
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  • 原文地址:https://www.cnblogs.com/caiyishuai/p/8475838.html
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