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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#87359#5505. Great Chasechiranko#AC ✓1616ms15716kbC++141.1kb2023-03-12 18:30:002023-03-12 18:30:03

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.
  • [2023-03-12 18:30:03]
  • 评测
  • 测评结果:AC
  • 用时:1616ms
  • 内存:15716kb
  • [2023-03-12 18:30:00]
  • 提交

answer

#include <bits/stdc++.h>
#define pb emplace_back

#define ls(x) (x << 1)
#define rs(x) (x << 1 | 1)

using namespace std;

using LDB = long double;
using DB = double;
using LL = long long;

void solve()
{
	LDB eps = 1e-24;
	int n;
	LDB v;
	scanf("%d%Lf", &n, &v);
	vector<LDB> pos(n + 1, 0), speed(n + 1, 0);
	for(int i = 1; i <= n; ++i){
		scanf("%Lf%Lf", &pos[i], &speed[i]);
	}

	LDB l = 0.0, r = 1e12, mid = 0, round = 0;
	while(r - l > eps && round <= 200){
		++round;
		mid = (l + r) / 2;
		if(r - l > eps){
			if(r - mid <= eps){
				l = mid;
				break;
			}
			else if(mid - l <= eps){
				r = mid;
				break;
			}
		}
		
		
		LDB maxl = -1e12 - 1, minr = 1e12 + 1;
		for(int i = 1; i <= n; ++i){
			if(pos[i] < 0)
				maxl = max(maxl, pos[i] + mid * speed[i]);
			else
				minr = min(minr, pos[i] - mid * speed[i]);
		}
		
		if(maxl >= minr)
			r = mid;
		else
			l = mid;
		// printf("%.12Lf %.12Lf %.12Lf\n", l, r, r - l);
		

		
	}
	printf("%.12Lf\n", l * v);
}

int main()
{
	// ios::sync_with_stdio(0);
	// cin.tie(0);

	int T;
	scanf("%d", &T);
	while(T--){
		solve();
	}
	return 0;
} 

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3620kb

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
3000000000000.000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 933ms
memory: 3672kb

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:

145405766328.349110037088
16414958969.727281192318
5202715639.835183899850
321977234.156325868971
45384199210.221683971584
183885744.769230769234
1708925225.230472357944
89786664971.557942628860
13924365606.287388794124
412975327.555555555562
965508404.512101492612
4703493416.288376523647
352961619....

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1616ms
memory: 4620kb

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:

189662921.363636363632
197971181.333333333328
997533531.737629592360
6439673170.665741784964
993821598110.661077857018
22727977326.402660986409
34702455207.518504031003
677770533.929817498662
46631726883.969133235514
5446481867.129032257944
11336247450.272078593262
4409370840.439131624997
1568160605...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1131ms
memory: 15716kb

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:

519985220219.811770915985
511413015796.766475349665
424240880533.634020298719
518849481155.503918766975
1882496988186.444000005722

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1488ms
memory: 9920kb

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:

89670748252.978608019650
98630840901.507606960833
29393530999.894327789545
50801000770.955985423177
39668001027.269331339747
467846478226.411370843649
30789914370.574311612174
23151476830.905098434538
51606123416.625827591866
151713060001.662588924170
100944679009.609286278486
766785664078.358981668...

result:

ok 38 numbers