hdu 4027 Can you answer these queries?

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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

Source
The 36th ACM/ICPC Asia Regional Shanghai Site —— Online Contest

给你一串序列 你可以对它进行两种操作 第一种是对从x到y的数变为变为原来数的平方,第二种是查询从x到y的和 因为最大数就是long long 所以这里我们会发现每个数最多开根号6 7 次,所以我们可以判断某个区间是不是都是1,如果是我们则不用更新直接返回。

#include <stdio.h>#include <string.h>#include <algorithm>#include <math.h>using namespace std;#define LL long longLL a[110000];LL tree[4*110000];void build(int p,int l,int r){    if(l == r)    {        tree[p] = a[l];        return ;    }    int mid = (l + r)>>1;    build(p*2,l,mid);    build(p*2+1,mid+1,r);    tree[p] = tree[p*2] + tree[p*2+1];}void update(int p,int l,int r,int x, int y){    if(l == r)    {        tree[p] = sqrt(tree[p] * 1.0);        return ;    }    if(l >= x && r <= y && tree[p] == r-l+1)    {        return ;    }    int mid = (l + r) >> 1;    if(x <= mid)    {        update(p*2,l,mid,x,y);    }    if(y > mid)    {        update(p*2+1,mid+1,r,x,y);    }    tree[p] = tree[p*2] + tree[p*2+1];}LL query(int p, int l, int r, int x, int y){    if(l>=x && r<=y)    {        return tree[p];    }    int mid = (l + r) >> 1;    if(y <= mid)    {        return query(p*2, l, mid, x, y);    }    if(x > mid)    {        return query(p*2+1, mid+1, r, x, y);    }    return query(p*2, l, mid, x, mid) + query(p*2+1, mid+1, r, mid+1, y);}int main(){    LL n;    int k = 0;    while(~scanf("%lld",&n))    {        k++;        for(int i = 1; i <= n; i++)        {            scanf("%lld",&a[i]);        }        build(1,1,n);        int q;        scanf("%d",&q);        printf("Case #%d:\n",k);        for(int  i = 0; i < q; i++)        {            int temp,x,y;            scanf("%d%d%d",&temp,&x,&y);            if(x > y) swap(x,y);            if(temp == 0)            {                update(1,1,n,x,y);            }            else            {                LL ans = query(1,1,n,x,y);                printf("%lld\n",ans);            }        }        printf("\n");    }}