hdu 4027 Can you answer these queries? 线段树区间开根号，区间求和

Posted 2021-10-20 mmmqqdd

Can you answer these queries?

Time Limit: 1 Sec  Memory Limit: 256 MB

题目连接

http://acm.hdu.edu.cn/showproblem.php?pid=5195

Description

A lot of battleships of evil are arranged in a line before the battle. Our commander decides to use our secret weapon to eliminate the battleships. Each of the battleships can be marked a value of endurance. For every attack of our secret weapon, it could decrease the endurance of a consecutive part of battleships by make their endurance to the square root of it original value of endurance. During the series of attack of our secret weapon, the commander wants to evaluate the effect of the weapon, so he asks you for help.
You are asked to answer the queries that the sum of the endurance of a consecutive part of the battleship line.

Notice that the square root operation should be rounded down to

 

Input

The input contains several test cases, terminated by EOF.
  For each test case, the first line contains a single integer N, denoting there are N battleships of evil in a line. (1 <= N <= 100000)
  The second line contains N integers Ei, indicating the endurance value of each battleship from the beginning of the line to the end. You can assume that the sum of all endurance value is less than 2⁶³.
  The next line contains an integer M, denoting the number of actions and queries. (1 <= M <= 100000)
  For the following M lines, each line contains three integers T, X and Y. The T=0 denoting the action of the secret weapon, which will decrease the endurance value of the battleships between the X-th and Y-th battleship, inclusive. The T=1 denoting the query of the commander which ask for the sum of the endurance value of the battleship between X-th and Y-th, inclusive.

Output

For each test case, print the case number at the first line. Then print one line for each query. And remember follow a blank line after each test case.

 

 

Sample Input

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

Sample Output

Case #1: 19 7 6

HINT

 

题意

线段树 维护区间开根号，查询区间和

题解：

一开始太傻，不会做，除了暴力啥也不会，然后看题解恍然大悟。

long long范围内的数，最多开7次根号，所以每次修改暴力就好了。

应该没有人像我一样认为一个数开方开到最后等于零吧，菜是原罪。

这题比较坑的一点是竟然有x>y的情况，出题人什么心态。原来　between X-th and Y-th　是这个意思吗？

最后提供一组数据：

input:

7
81 12 3 7 9 6 26
5
0 3 5
0 3 1(就是3 1 没有错)
1 1 5
0 2 3
1 1 7

output:

18

48

 

代码：

 

 1 #include<bits/stdc++.h>
 2 using namespace std;
 3 #define ll long long
 4 #define N 200050
 5 int n,m,cas; ll w[N];
 6 struct Tree{int l,r;ll sum;}tr[N<<2];
 7 template<typename T>void read(T&x)
 8 {
 9   int k=0;char c=getchar();
10   x=0;
11   while(!isdigit(c)&&c!=EOF)k^=c==‘-‘,c=getchar();
12   if (c==EOF)exit(0);
13   while(isdigit(c))x=x*10+c-‘0‘,c=getchar();
14   x=k?-x:x;
15 }
16 void push_up(int x)
17   {
18     tr[x].sum=tr[x<<1].sum+tr[x<<1|1].sum;
19   }
20 void bt(int x,int l,int r)
21 {
22   tr[x].l=l; tr[x].r=r;
23   if (l==r)
24     {
25       tr[x].sum=w[l];
26       return;
27     }
28   int mid=(l+r)>>1;
29   bt(x<<1,l,mid);
30   bt(x<<1|1,mid+1,r);
31   push_up(x);
32 }
33 void update(int x,int l,int r)
34 {
35   if (l>r)return;
36   if (tr[x].sum==tr[x].r-tr[x].l+1)return;
37   if (tr[x].l==tr[x].r)
38     {
39       tr[x].sum=(ll)(sqrt(tr[x].sum));
40       return;
41     }
42   int mid=(tr[x].l+tr[x].r)>>1;
43   if (l<=mid)update(x<<1,l,r);
44   if (mid<r)update(x<<1|1,l,r);
45   push_up(x);
46 }
47 ll query(int x,int l,int r)
48 {
49   if (l<=tr[x].l&&tr[x].r<=r)
50     return tr[x].sum;
51   ll ans=0,mid=(tr[x].l+tr[x].r)>>1;
52   if (l<=mid)ans+=query(x<<1,l,r);
53   if (mid<r)ans+=query(x<<1|1,l,r);
54   return ans;
55 }
56 void work()
57 {
58   read(n);
59   printf("Case #%d:\n",++cas);
60   for(int i=1;i<=n;i++)read(w[i]);
61   bt(1,1,n);
62   read(m);
63   for(int i=1;i<=m;i++)
64     {
65       int id,x,y;
66       read(id); read(x); read(y);
67       if (x>y)swap(x,y);
68       if (id==0)update(1,x,y);
69       if (id==1)printf("%lld\n",query(1,x,y));
70     }
71   printf("\n");
72 }
73 int main()
74 {
75   #ifndef ONLINE_JUDGE
76   freopen("aa.in","r",stdin);
77   #endif
78   while(1)
79     {
80       //clear();
81       work();
82     }
83 }

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