H - Can you answer these queries?(线段树)

本文介绍了一种使用秘密武器攻击连续排列的敌方战舰的方法,并通过一系列操作降低战舰的耐力值。利用特殊算法实时计算指定范围内所有战舰耐力值之和,为指挥官提供关键战术信息。

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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 2 63.
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
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
using namespace std;
long long int sum[409876];
void PushUp(long long int node)//更新
{
  sum[node] = sum[node * 2] + sum[node * 2 + 1];
}
void Build(long long int node, long long int l, long long int r)//建树
{
   if(l==r)
   {
     scanf("%lld", &sum[node]);
     return ;
   }
   long long int m = (l + r) / 2;
   Build(node * 2, l, m);
   Build(node *2 + 1, m + 1, r);
   PushUp(node);
}
void UpData(long long int node, long long int left, long long int right, long long int l, long long int r)//更新节点的数值
{
   if(l==r)
   {
     sum[node] = sqrt(sum[node]);//开方
     return ;
   }
   long long int m = (l + r) / 2;
   if(m>=left)
   UpData(node * 2, left, right, l, m);
   if(m<right)
   UpData(node * 2 + 1, left, right, m+1, r);
   PushUp(node);
}
long long int Query(long long int node, long long int left, long long int right, long long int l, long long int r)//求和
{
   if(left<=l&&r<=right)
   {
      return sum[node];
   }
   long long int m = (l + r) / 2;
   long long int res = 0;
   if(m>=left)
   res += Query(node * 2, left, right, l, m);
   if(m<right)
   res += Query(node * 2 +1, left, right, m+1, r);
   return res;
}
int main()
{
   long long int n, m;
   long long int t, a, b;
   int Case = 1;
   while(~scanf("%lld", &n))
   {
      Build(1, 1, n);
      scanf("%lld", &m);
      printf("Case #%d:\n", Case++);
      while(m--)
      {
        scanf("%lld %lld %lld", &t, &a, &b);
        if(a>b)//使a<=b
        {
          int temp = a;
          a = b;
          b = temp;
        }
        if(t==0)
        {
           if(Query(1, a, b, 1, n)!=b-a+1)//如果不符合要求
           UpData(1, a, b, 1, n);//更新
        }
        else
        {
           printf("%lld\n", Query(1, a, b, 1, n));//输出
        }
      }
      cout<<endl;//注意空行
   }
   return 0;
}
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