QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#590128 | #9381. 502 Bad Gateway | Trspnt | AC ✓ | 290ms | 3712kb | C++23 | 1.3kb | 2024-09-25 21:47:35 | 2024-09-25 21:47:36 |
Judging History
answer
/*
2024.9.25
2024ICPC网络赛L
by Trspnt
*/
#include <bits/stdc++.h>
#define int long long
using namespace std;
typedef pair<int,int> PII;
typedef tuple<int,int,int> tp;
const int N = 110,INF = 0x3f3f3f3f3f3f3f3f,mod = 998244353;
/*
假定一个阈值c,如果没有超出阈值就一直刷新,直到刷新不如不刷,过程如果刷到小于c就直接到结束,刷到1-t的概率为c/t,那么有E=Σ(i*P[i]+1/c*(c*c-1)/2)=Σ(i*P[i])+(c-1)/2
根据E(x+y)=E(x)+E(y)可知,Σ(i*P[i])=Σ(1-p[i])=lim(n->无限)(1-(c/t)^n)/(1-(1-c/t))=1/(c/t)=t/c
所以有E=(c-1)/2+t/c=c/2+t/c+1/2,根据对勾函数性质,最小值在c1=ceil(sqrt(2*t)) and c2=floor(sqrt(2*t))时取到,然后比较二者哪个小即为答案
*/
void solve()
{
int n;
cin>>n;
int l=ceil(sqrt(2*n)),r=floor(sqrt(2*n));
int up1=l*l-l+2*n,down1=2*l;
int g1=__gcd(up1,down1);
up1/=g1,down1/=g1;
int up2=r*r-r+2*n,down2=2*r;
int g2=__gcd(up2,down2);
up2/=g2,down2/=g2;
if(1.0*up1/down1>1.0*up2/down2)cout<<up2<<" "<<down2<<"\n";
else cout<<up1<<" "<<down1<<"\n";
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T=1;
cin>>T;
//init();
while(T--)solve();
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3652kb
input:
3 1 2 3
output:
1 1 3 2 2 1
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 184ms
memory: 3712kb
input:
1000000 1 1000000000 1 1 1000000000 1 1000000000 1 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1 1 1000000000 1 1000000000 1000000000 1000000000 1000000000 1 1 1 10000000...
output:
1 1 1999961560 44721 1 1 1 1 1999961560 44721 1 1 1999961560 44721 1 1 1 1 1 1 1999961560 44721 1 1 1 1 1999961560 44721 1 1 1999961560 44721 1999961560 44721 1 1 1999961560 44721 1 1 1 1 1999961560 44721 1 1 1999961560 44721 1999961560 44721 1 1 1999961560 44721 1999961560 44721 1999961560 44721 19...
result:
ok 1000000 lines
Test #3:
score: 0
Accepted
time: 290ms
memory: 3660kb
input:
1000000 158260522 877914575 602436426 24979445 861648772 623690081 433933447 476190629 262703497 211047202 971407775 628894325 731963982 822804784 450968417 430302156 982631932 161735902 880895728 923078537 707723857 189330739 910286918 802329211 404539679 303238506 317063340 492686568 773361868 125...
output:
316511467 17791 1755824328 41903 1204845831 34711 49954223 7068 1723292600 41513 623676492 17659 867864517 29460 952375859 30861 262700539 11461 422085442 20545 1942776701 44077 251551941 7093 1463896912 38261 1645584679 40566 901913913 30032 107573492 3667 1965228547 44331 323457022 17985 176178307...
result:
ok 1000000 lines
Extra Test:
score: 0
Extra Test Passed