QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#282405#5505. Great Chasetkrawczyk#AC ✓1423ms16308kbC++23923b2023-12-11 22:41:222023-12-11 22:41:23

Judging History

你现在查看的是最新测评结果

  • [2023-12-11 22:41:23]
  • 评测
  • 测评结果:AC
  • 用时:1423ms
  • 内存:16308kb
  • [2023-12-11 22:41:22]
  • 提交

answer

#include <bits/stdc++.h>
#define T long double

using namespace std;

void solve() {
    int n, v; cin >> n >> v;
    vector<pair<T, T>> h(n);
    for(auto& [a, b] : h) {
        long long x, y; cin >> x >> y;
        a = x, b = y;
    }
    T lo = 0, hi = 1e18;
    const T oo = 1e18;
    for(int r = 0; r < 120; r++) {
        T mid = (lo + hi) / 2;
        T najd = -oo * oo;
        T najbl = oo * oo;
        for(int i = 0; i < n; i++) {
            if(h[i].first < 0) najd = max(najd, h[i].first + h[i].second * mid);
            else najbl = min(najbl, h[i].first - h[i].second * mid);
        }
        if(najbl < najd) {
            hi = mid;
        }
        else {
            lo = mid;
        }
    }
    cout << v * hi << '\n';
}

int32_t main() {
    cin.tie(0)->sync_with_stdio(0);
    cout << fixed << setprecision(20);
    int t; cin >> t;
    while(t--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3788kb

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:

38.25000000000000000347
1.23076923076923077228
3000000000000.00000023841857910156

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 671ms
memory: 3832kb

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:

145405766328.34911005198955535889
16414958969.72728119231760501862
5202715639.83518390031531453133
321977234.15632586897118017077
45384199210.22168397158384323120
183885744.76923076924867928028
1708925225.23047235806006938219
89786664971.55794264376163482666
13924365606.28738879505544900894
41297532...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1367ms
memory: 5200kb

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:

189662921.36363636364694684744
197971181.33333333334303461015
997533531.73762959247687831521
6439673170.66574178496375679970
993821598110.66107785701751708984
22727977326.40266098827123641968
34702455207.51850403100252151489
677770533.92981749871978536248
46631726883.96913323551416397095
5446481867....

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 972ms
memory: 16308kb

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:

519985220219.81177091598510742188
511413015796.76647537946701049805
424240880533.63402038812637329102
518849481155.50391879677772521973
1882496988186.44400000572204589844

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1423ms
memory: 13192kb

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:

89670748252.97860801964998245239
98630840901.50760696083307266235
29393530999.89432778954505920410
50801000770.95598542317748069763
39668001027.26933134719729423523
467846478226.41137084364891052246
30789914370.57431161403656005859
23151476830.90509843453764915466
51606123416.62582759186625480652
15...

result:

ok 38 numbers