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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#203676#5505. Great ChaseYueyAC ✓4320ms10180kbC++20966b2023-10-06 19:22:232023-10-06 19:22:23

Judging History

你现在查看的是最新测评结果

  • [2023-10-06 19:22:23]
  • 评测
  • 测评结果:AC
  • 用时:4320ms
  • 内存:10180kb
  • [2023-10-06 19:22:23]
  • 提交

answer

# include <bits/stdc++.h>
# define int long long
# define imax(a , b) ((a) > (b) ? (a) : (b))
# define imin(a , b) ((a) < (b) ? (a) : (b))
# define rl ro << 1
# define rr ro << 1 | 1
using namespace std;
const int N = 4e5 + 511;
int n;
struct tag
{
	double x , v;
}a[N];

bool check(double k){
	
	double l = -1e12 , r = 1e12;
	for (int i = 1; i <= n; ++i)
	{
		if (a[i].x > 0) r = imin(r , a[i].x - k * a[i].v);
		if (a[i].x < 0) l = imax(l , a[i].x + k * a[i].v);
	}
	
	if ((r - l) >= 1e-15) return 1;
	return 0;
}
void solve()
{
	double V;
	cin>>n>>V;

	for (int i = 1; i <= n; ++i){
		cin>>a[i].x>>a[i].v;
	}

	double L = 0 , R = 1e12;
	for (int i = 1; i <= 600; ++i){
		double mid = (L + R) / 2.0;

		if (check(mid)) L = mid;
					else R = mid;
	}

	cout<<fixed<<setprecision(12)<<L * V<<"\n";
}
signed main()
{
	std::ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int T = 1;
	cin>>T;
	while (T--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3996kb

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:

38.250000000000
1.230769230769
2999999999999.999511718750

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1376ms
memory: 3880kb

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:

145405766328.349090576172
16414958969.727277755737
5202715639.835183143616
321977234.156325817108
45384199210.221679687500
183885744.769230753183
1708925225.230472087860
89786664971.557922363281
13924365606.287387847900
412975327.555555522442
965508404.512101411819
4703493416.288375854492
352961619....

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 4292ms
memory: 4340kb

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:

189662921.363636344671
197971181.333333313465
997533531.737629532814
6439673170.665740966797
993821598110.660888671875
22727977326.402660369873
34702455207.518501281738
677770533.929817438126
46631726883.969131469727
5446481867.129031181335
11336247450.272077560425
4409370840.439130783081
1568160605...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 2365ms
memory: 10180kb

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:

519985220219.811706542969
511413015796.766418457031
424240880533.633972167969
518849481155.503906250000
1882496988186.444091796875

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 4320ms
memory: 8248kb

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:

89670748252.978591918945
98630840901.507598876953
29393530999.894321441650
50801000770.955978393555
39668001027.269325256348
467846478226.411376953125
30789914370.574310302734
23151476830.905094146729
51606123416.625823974609
151713060001.662567138672
100944679009.609268188477
766785664078.358886718...

result:

ok 38 numbers