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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#150380#5505. Great ChaseahsoltanAC ✓828ms20128kbC++17967b2023-08-25 16:45:312023-08-25 16:45:32

Judging History

你现在查看的是最新测评结果

  • [2023-08-25 16:45:32]
  • 评测
  • 测评结果:AC
  • 用时:828ms
  • 内存:20128kb
  • [2023-08-25 16:45:31]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 2137
#endif

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  int tt;
  cin >> tt;
  while (tt--) {
    int n, v;
    cin >> n >> v;
    vector<pair<ll, ll>> a, b;
    for (int i = 0; i < n; i++) {
      ll p, vv;
      cin >> p >> vv;
      (p > 0 ? a : b).push_back({p, vv});
    }
    ld lo = 0;
    ld hi = 2.5e12;
    for (int it = 0; it < 100; it++) {
      ld mid = (lo + hi) / 2;
      ld mx = -2e18;
      ld mn = 2e18;
      for (auto [p, q] : a) {
        mn = min(mn, p - mid * q);
      }
      for (auto [p, q] : b) {
        mx = max(mx, p + mid * q);
      }
      if (mn <= mx) {
        hi = mid;
      } else {
        lo = mid;
      }
    }
    ld t = (lo + hi) / 2;
    cout << fixed << setprecision(10) << t * v << '\n';
  }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3716kb

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:

38.2500000000
1.2307692308
3000000000000.0000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 665ms
memory: 3780kb

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:

145405766328.3491100371
16414958969.7272811923
5202715639.8351838998
321977234.1563258690
45384199210.2216839716
183885744.7692307692
1708925225.2304723579
89786664971.5579426289
13924365606.2873887941
412975327.5555555556
965508404.5121014926
4703493416.2883765236
352961619.3810438190
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 792ms
memory: 4160kb

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:

189662921.3636363636
197971181.3333333333
997533531.7376295924
6439673170.6657417850
993821598110.6610778570
22727977326.4026609864
34702455207.5185040310
677770533.9298174987
46631726883.9691332355
5446481867.1290322579
11336247450.2720785933
4409370840.4391316250
15681606050.5762868552
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 828ms
memory: 20128kb

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:

519985220219.8117709160
511413015796.7664753497
424240880533.6340202987
518849481155.5039187670
1882496988186.4440000057

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 815ms
memory: 9108kb

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:

89670748252.9786080196
98630840901.5076069608
29393530999.8943277895
50801000770.9559854232
39668001027.2693313397
467846478226.4113708436
30789914370.5743116122
23151476830.9050984345
51606123416.6258275919
151713060001.6625889242
100944679009.6092862785
766785664078.3589816689
39969642788.06186738...

result:

ok 38 numbers