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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#129285#5505. Great ChaseForever_Young#AC ✓387ms12760kbC++141.0kb2023-07-22 13:49:452023-07-22 13:49:47

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-22 13:49:47]
  • 评测
  • 测评结果:AC
  • 用时:387ms
  • 内存:12760kb
  • [2023-07-22 13:49:45]
  • 提交

answer

#include<bits/stdc++.h>
#define LL long long
using namespace std;
int t,n,v,tail[2],b[2][400040];
LL a[2][400040];
double l,r;
int check(double x){
	double ma[2];
	ma[0]=a[0][0];
	for (int i=0;i<tail[0];i++)
	ma[0]=max(ma[0],a[0][i]+b[0][i]*x);
	
	ma[1]=a[1][0];
	for (int i=0;i<tail[1];i++)
	ma[1]=min(ma[1],a[1][i]-b[1][i]*x);
	//printf("%.9lf %.9lf %.9lf\n",x,ma[0],ma[1]);
	if (ma[0]>ma[1]) return 1;
	return 0;
}
int main(){
	scanf("%d",&t);
	while (t--){
		scanf("%d%d",&n,&v);
		tail[0]=tail[1]=0;
		for (int i=0;i<n;i++){
			LL tmpa;
			int tmpb,typ;
			scanf("%lld%d",&tmpa,&tmpb);
			if (tmpa<0) typ=0;
			else typ=1;
			a[typ][tail[typ]]=tmpa;
			b[typ][tail[typ]]=tmpb;
			tail[typ]++;
		}
		//for (int i=0;i<2;i++)
		//for (int j=0;j<tail[i];j++) printf("%lld %d\n",a[i][j],b[i][j]);
		l=0;
		r=1.0*(-a[0][0]+a[1][0])/(b[0][0]+b[1][0]);
		for (int i=0;i<50;i++){
			double mid=(l+r)/2;
			if (check(mid)) r=mid;
			else l=mid;
		}
		printf("%.9lf\n",(l+r)/2*v);
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 10024kb

input:

3
4 9
10 2
-7 2
-6 1
7 1
2 8
-1 7
1 6
2 3
-1000000000000 1
1000000000000 1

output:

38.250000000
1.230769231
2999999999999.998535156

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 294ms
memory: 7936kb

input:

10000
200 997007
405524182320 754760
686939601648 419804
687047488212 715566
1446157132 4594
-670522037 4673
763634629282 253755
424307411732 275041
1582708381 8473
-667425982 4622
-522841486 1427
702430907988 460271
1405423646 1060
1497754648 6227
883363410675 723547
56899800372 46435
-810216390 64...

output:

145405766328.349243164
16414958969.727272034
5202715639.835180283
321977234.156377435
45384199210.224235535
183885744.769230902
1708925225.230436325
89786664971.557754517
13924365606.287385941
412975327.555557966
965508404.512101173
4703493416.288373947
352961619.381043613
5575125771.798792839
34119...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 349ms
memory: 10004kb

input:

93
15435 968117
4196666 184
-5069875 255
-9782648 980
-1978138 176
9333323 764
-4323540 12
-8442049 319
-5371878 137
2881306 10
-4050629 133
-4659099 59
-5189169 320
-2256647 99
-3686648 37
1059255 33
-223142 20
8040933 408
8407764 705
694547 38
-7913614 746
-3573355 132
5919585 189
-3756662 94
-795...

output:

189662921.363636285
197971181.333332956
997533531.737630367
6439673170.665733337
993821598110.661865234
22727977326.402404785
34702455207.518547058
677770533.929816127
46631726883.969093323
5446481867.129034042
11336247450.272096634
4409370840.439078331
15681606050.576370239
14986614231.546863556
10...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 373ms
memory: 12760kb

input:

5
400000 999972
172811492468 106699
171900177092 102097
194121748377 184014
190302947556 172722
183121572232 149212
196566712700 190884
171376795991 99358
522927044000 159597
-129031052077 34395
189422320931 170012
-275879974024 638546
408864707565 98475
-106703244806 368801
192128798630 178213
2915...

output:

519985220219.811462402
511413015796.766662598
424240880533.633911133
518849481155.503601074
1882496988186.445068359

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 387ms
memory: 12128kb

input:

38
16668 999947
-3844782803 511
-210897941456 464872
618726004990 714384
-954596898686 225256
96675744 1148
-1515974078 11375
-206213840984 706184
306078847 3947
-474818331950 391451
-616022698917 561244
123378707 1540
-640636592655 406006
459201391325 908506
-733249583 5719
496163273 6238
619876911...

output:

89670748252.978942871
98630840901.507522583
29393530999.894321442
50801000770.956001282
39668001027.269317627
467846478226.411193848
30789914370.574577332
23151476830.905448914
51606123416.625823975
151713060001.662719727
100944679009.609024048
766785664078.359619141
39969642788.061889648
6234106593...

result:

ok 38 numbers