hdu 4027 Can you answer these queries?

Can you answer these queries?

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65768/65768 K (Java/Others)
Total Submission(s): 11760    Accepted Submission(s): 2770

Problem 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 integer.

 

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

/*
hdu 4027 Can you answer these queries?

0:对[l,r]的数取平方根
1:求[l,r]的和

由于0操作是取平方根,感觉不适合于标记下传，但是如果对于每个都更新到节点的话太
费时间,而且可以发现2^64最多8次就变成1了,而且对于1去平方根不变,所以在
单点更新的基础上判断区间是否全为1即可

hhh-2016-03-29 15:17:46
*/
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<math.h>
#include<functional>
using namespace std;
#define lson  (i<<1)
#define rson  ((i<<1)|1)
typedef long long ll;
const int maxn = 100500 ;

struct node
{
    int l,r;
    ll sum;
    int mid()
    {
        return (l+r)>>1;
    }
} tree[maxn<<2];

void push_up(int i)
{
    tree[i].sum=tree[lson].sum+tree[rson].sum;
}

void build(int i,int l,int r)
{
    tree[i].l = l, tree[i].r = r;
    tree[i].sum = 0;
    if(l == r)
    {
        scanf("%I64d",&tree[i].sum);
        return ;
    }

    int mid = tree[i].mid();
    build(lson,l,mid);
    build(rson,mid+1,r);
    push_up(i);
}

void push_down(int i)
{

}

void update(int i,int l,int r)
{
    if(tree[i].l == tree[i].r)
    {
        tree[i].sum = sqrt(tree[i].sum*1.0);
        return;
    }

    if(tree[i].l >= l && tree[i].r <= r)
    {
        if(tree[i].sum == tree[i].r-tree[i].l+1)
            return ;
    }
    if(l <= tree[i].mid())
        update(lson,l,r);
    if(r > tree[i].mid())
        update(rson,l,r);
    push_up(i);
}

ll query(int i,int l,int r)
{
    if(tree[i].l >= l && tree[i].r <= r)
        return tree[i].sum;
    ll ans = 0;
    push_down(i);
    if(l <= tree[i].mid())
        ans += query(lson,l,r);
    if(r > tree[i].mid())
        ans += query(rson,l,r);
    return ans;
}

int main()
{
    int cas = 1,n;
    while(scanf("%d",&n) != EOF)
    {
        build(1,1,n);
        printf("Case #%d:
", cas++);
        int q,x,y,op;
        scanf("%d",&q);
        while(q--)
        {
            scanf("%d",&op);
            if(op == 0)
            {
                scanf("%d%d",&x,&y);
                if(x > y)swap(x,y);
                update(1,x,y);
            }
            if(op == 1)
            {
                scanf("%d%d",&x,&y);
                if(x > y)swap(x,y);
                printf("%I64d
",query(1,x,y));
            }
        }
        printf("
");
    }
    return 0 ;
}