「ABC221A」Seismic magnitude scales 题解
A - Seismic magnitude scales
Time Limit: \(2\; sec\) / Memory Limit: \(1024\; MB\)
Score : \(100\; points\)
Problem Statement|题目描述
-
The magnitude of an earthquake is a logarithmic scale of the energy released by the earthquake. It is known that each time the magnitude increases by \(1\), the amount of energy gets multiplied by approximately \(32\).
-
地震的震级是地震释放能量的对数尺度。已知震级每增加 \(1\) ，能量就会变为原来的大约 \(32\) 倍。
-
Here, we assume that the amount of energy gets multiplied by exactly \(32\) each time the magnitude increases by \(1\). In this case, how many times is the amount of energy of a magnitude \(A\) earthquake as much as that of a magnitude \(B\) earthquake?
-
在本题中，我们假设每次震级增加 \(1\) 时，能量正好乘以 \(32\) 。在这种情况下， \(A\) 地震的能量是 \(B\) 级地震能量的多少倍？
Constraints|数据范围
- \(3\leq B\leq A\leq 9\)
\(A\) and \(B\) are integers. - \(3\leq B\leq A\leq 9\)
- \(A\) 和 \(B\) 均为整数。
Input|输入
-
Input is given from Standard Input in the following format:
A B -
输入为以下格式的标准输入：
A B
Output|输出
-
Print the answer as an integer.
-
输出一个整数答案。
Sample Input 1 |样例输入 1
6 4
Sample Output 1 |样例输出 1
1024
- \(6\) is \(2\) greater than \(4\), so a magnitude \(6\) earthquake has \(32\times 32=1024\) times as much energy as a magnitude \(4\) earthquake has.
- \(6\) 级地震的能量是 \(4\)级地震的 \(32\times 32=1024\) 倍。
Sample Input 2 |样例输入 2
5 5
Sample Output 2 |样例输出 2
1
- Earthquakes with the same magnitude have the same amount of energy.
- 相同震级的地震具有相同的能量。
分析
作为一个谨慎的人，我终究还是开了\(long\;long\)，又用了快速幂。
AC代码奉上
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
inline ll power(ll a,ll b){
if(!b)return 1;
ll ans=1;
while(b){
if(b&1)ans=ans*a;
b>>=1;
a*=a;
}
return ans;
}
int main(){
freopen("magnitude.in","r",stdin);
freopen("magnitude.out","w",stdout);
int a,b;
cin>>a>>b;
cout<<power(32,a-b);
return 0;
}
