QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#580549#9381. 502 Bad GatewayfatesrlAC ✓276ms3704kbC++20833b2024-09-21 22:22:222024-09-24 14:56:01

Judging History

你现在查看的是最新测评结果

  • [2024-09-24 14:56:01]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:276ms
  • 内存:3704kb
  • [2024-09-24 14:55:37]
  • hack成功,自动添加数据
  • (/hack/886)
  • [2024-09-21 22:22:22]
  • 评测
  • 测评结果:100
  • 用时:267ms
  • 内存:3644kb
  • [2024-09-21 22:22:22]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
/*
设分配到<=k,不需要再次分配,直接到0 

那么分配到的概率为k/t,那么这件事的期望次数为t/k

加上刚开始分配不需要额外的罚时一次,只需要t/k-1的罚时 
 
对于1-k,等概率的被分配到,那么期望罚时为(1+k)/2

所以答案为(1+k)/2+t/k-1

k=sqrt(t)

在k,或者k+1取到最小值 
*/
typedef long long ll;
void solve(){
	ll n;
	cin>>n;
	ll k=sqrt(2*n);
	ll x=k*k-k+2*n;
	ll y=2*k;
	ll d=__gcd(x,y);
	x/=d,y/=d;
	
	k++;
	ll x1=k*k-k+2*n;
	ll y1=2*k;
	ll d1=__gcd(x1,y1);
	x1/=d1,y1/=d1;
	
	if(x*y1<x1*y){
		cout<<x<<' '<<y<<'\n';
	}
	else{
		cout<<x1<<' '<<y1<<'\n';
	}
}
int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	int ins;
	cin>>ins;
	while(ins--) solve();
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3552kb

input:

3
1
2
3

output:

1 1
3 2
2 1

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 152ms
memory: 3616kb

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: 276ms
memory: 3704kb

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