QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#259809#5505. Great Chasew4p3r#AC ✓724ms10156kbC++201.6kb2023-11-21 14:20:432023-11-21 14:20:43

Judging History

你现在查看的是最新测评结果

  • [2023-11-21 14:20:43]
  • 评测
  • 测评结果:AC
  • 用时:724ms
  • 内存:10156kb
  • [2023-11-21 14:20:43]
  • 提交

answer

#include<bits/stdc++.h>
#define inf 1e18
#define eps 1e-6
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define REP(i,a,b) for(int i=a;i>=b;i--)
#define db double
#define ve vector<int>
#define pa pair<int,int>
#define fr first
#define sd second
#define pb push_back
#define mp make_pair
#define MEM(a) memset(a,0,sizeof(a))
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
inline ll read()
{
	char ch = getchar();
	ll s = 0, w = 1;
	while (ch < '0' || ch > '9') {if (ch == '-')w = -1; ch = getchar();}
	while (ch >= '0' && ch <= '9') {s = s * 10 + ch - '0'; ch = getchar();}
	return s * w;
}
#define N 400010
#define db double
#define int ll
int n; ll  V;
ll p[N], v[N];
int ck(double T)
{
	db A = 1e12, B = 1e12;
	// cout << "GG:" << T << endl;
	for (int i = 1; i <= n; i ++)
	{
		if (p[i] > 0) {A = min(A, 1.0 * p[i] - 1.0 * T * v[i]); }
		if (p[i] < 0) {B = min(B, 1.0 * (-p[i]) - 1.0 * T * v[i]);}
		// cout << "EEE:" << T * v[i] << endl;
	}
	// cout << T << " " << ((A + B) <= 0) << endl;
	// if ((A + B) > 0) {cout << "???:" << A << ' ' << B << endl;}
	return (A + B <= 0);
}
void sol()
{
	cin >> n >> V;
	for (int i = 1; i <= n; i ++)cin >> p[i] >> v[i];
	db l = 0, r = 1e12, ans = 0;
	int T = 100;
	while (T --)
	{
		db mid = (l + r) / 2.0;
		if (ck(mid))ans = mid, r = mid - eps;
		else l = mid + eps;
	}
	cout << fixed << setprecision(15) << 1.0 * ans * V << '\n';
}
signed main()
{
	//freopen(".in","r",stdin);
	//freopen(".out","w",stdout);
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	int T; cin >> T;
	while (T --)sol();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5952kb

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:

38.250000000000000
1.230769230769231
3000000000000.000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 363ms
memory: 5912kb

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:

145405766328.349121093750000
16414958969.727281570434570
5202715639.835184097290039
321977234.156325876712799
45384199210.221687316894531
183885744.769230782985687
1708925225.230472326278687
89786664971.557937622070312
13924365606.287389755249023
412975327.555555582046509
965508404.512101650238037
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 639ms
memory: 6188kb

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:

189662921.363636374473572
197971181.333333343267441
997533531.737629771232605
6439673170.665741920471191
993821598110.661010742187500
22727977326.402664184570312
34702455207.518508911132812
677770533.929817557334900
46631726883.969139099121094
5446481867.129032135009766
11336247450.272079467773438
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 520ms
memory: 10156kb

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:

519985220219.811767578125000
511413015796.766479492187500
424240880533.634033203125000
518849481155.503906250000000
1882496988186.444091796875000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 724ms
memory: 10056kb

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:

89670748252.978607177734375
98630840901.507614135742188
29393530999.894325256347656
50801000770.955986022949219
39668001027.269332885742188
467846478226.411437988281250
30789914370.574314117431641
23151476830.905097961425781
51606123416.625831604003906
151713060001.662597656250000
100944679009.60928...

result:

ok 38 numbers