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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#768229#5505. Great ChasewxhtzdyAC ✓1998ms9680kbC++201.1kb2024-11-21 03:28:162024-11-21 03:28:16

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 03:28:16]
  • 评测
  • 测评结果:AC
  • 用时:1998ms
  • 内存:9680kb
  • [2024-11-21 03:28:16]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int tt;
  cin >> tt;
  while (tt--) {
    int n, v;
    cin >> n >> v;
    vector<int64_t> p(n), s(n);
    for (int i = 0; i < n; i++) {
      cin >> p[i] >> s[i];
    }
    const int64_t inf = int64_t(1e12);
    auto Check = [&](long double t) {
      long double L = -inf;
      long double R = inf;
      for (int i = 0; i < n; i++) {
        if (p[i] < 0) {
          L = max(L, p[i] + t * s[i]);
        } else {
          R = min(R, p[i] - t * s[i]);
        }
      }
      return L >= R;
    };
    int64_t limit = inf;
    for (int i = 0; i < n; i++) {
      limit = min(limit, (abs(p[i]) + inf + s[i] - 1) / s[i]);
    }
    long double low = 0, high = limit, t = 0;
    for (int iter = 0; iter < 200; iter++) {
      long double mid = (low + high) / 2;
      if (Check(mid)) {
        t = mid;
        high = mid - 1;
      } else {
        low = mid + 1;
      }
    }
    cout << fixed << setprecision(10) << t * v << '\n';
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3756kb

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: 885ms
memory: 4020kb

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
5202715639.8351839003
321977234.1563258690
45384199210.2216839716
183885744.7692307692
1708925225.2304723579
89786664971.5579426363
13924365606.2873887951
412975327.5555555556
965508404.5121014926
4703493416.2883765241
352961619.3810438190
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1998ms
memory: 3916kb

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
997533531.7376295925
6439673170.6657417850
993821598110.6610778570
22727977326.4026609883
34702455207.5185040310
677770533.9298174987
46631726883.9691332355
5446481867.1290322584
11336247450.2720785942
4409370840.4391316255
15681606050.5762868561
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1392ms
memory: 9680kb

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
511413015796.7664753795
424240880533.6340203285
518849481155.5039187968
1882496988186.4440000057

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1785ms
memory: 6928kb

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
39668001027.2693313435
467846478226.4113708436
30789914370.5743116140
23151476830.9050984345
51606123416.6258275919
151713060001.6625889242
100944679009.6092862785
766785664078.3589817286
39969642788.06186738...

result:

ok 38 numbers