[UOJ 12]猜数
Description
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" 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Output
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" alt="" />
Sample Input1
1
1 4
Sample Output1
4 5
Sample Explanation1
aaarticlea/png;base64,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" alt="" />
Sample Input2
1
2 8
Sample Output2
8 10
HINT
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" alt="" />
题解
此题巨坑无比。不要用$unsigned/cin$。
其次$a,b$是$g$的倍数的意思是“对于输入的$g$,$a,b$一定要是$g$的倍数”,而不是“对于所有$a,b$,输入的$g$满足$a,b$是$g$的倍数”(这种理解其实直接就是$g=1$,而输入并不保证$g=1$)。
我们有$n=l×g$。那么我们分开来讨论:
对于最小值,由均值不等式:$a+b≥2\sqrt{ab}=2\sqrt{n}=2\sqrt{lg}$(当且仅当$a=b$取等)。由于$a,b≥g$,显然可以取等,满足。
对于最大值,由于$a+b≥2\sqrt{lg}$,我们记$f(x)=a+b={n\over b}+b$,显然在$(0,\sqrt n]$是单调递减的。由于$b≥g$,故在$b=g$处取最大值。
综上最小值为$2\sqrt{lg}$,最大值为$l+g$。
精度问题
有人可能会写:
ans_min = (long long)sqrt((double)g × l);
这样会被卡精度,因为$double$大概只有$15$位$10$进制有效数字。只能得到$60$分。
解决方法是:
ans_min = (long long)sqrt(l / g) × g;
当然有人可能直接$long double$保平安了……
#include<set>
#include<map>
#include<ctime>
#include<cmath>
#include<queue>
#include<stack>
#include<cstdio>
#include<string>
#include<vector>
#include<cstring>
#include<cstdlib>
#include<iostream>
#include<algorithm>
#define LL long long
#define RE register
#define IL inline
using namespace std; LL a,b;
int t; int main()
{
cin>>t;
while (t--)
{scanf("%lld%lld",&a,&b);
printf("%lld %lld\n",*(LL)sqrt(b/a)*a,a+b);}
return ;
}
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