QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#77278#5505. Great ChasenweeksAC ✓898ms18128kbC++171.5kb2023-02-13 21:35:452023-02-13 21:37:17

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.
  • [2023-02-13 21:37:17]
  • 评测
  • 测评结果:AC
  • 用时:898ms
  • 内存:18128kb
  • [2023-02-13 21:35:45]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

void solve() {

  int nbPoliciers;
  cin >> nbPoliciers;
  int vitesse;
  cin >> vitesse;

  vector<pair<int, int>> gauche, droite;
  for (int i = 0; i < nbPoliciers; ++i) {
    int pos, v;
    cin >> pos >> v;
    if (pos > 0)
      droite.emplace_back(pos, v);
    else
      gauche.emplace_back(pos, v);
  }

  double lo = 0, up = 1e18;
  for (int it = 0; it < 200; ++it) {
    double mid = (lo + up) / 2;

    double maxL = -1e18, minR = 1e18;
    for (auto [pos, v] : gauche)
      maxL = max(maxL, pos + v * mid);
    for (auto [pos, v] : droite)
      minR = min(minR, pos - v * mid);
    if (maxL < minR)
      lo = mid;
    else
      up = mid;
  }
  cout << setprecision(15) << fixed << lo * vitesse << '\n';
}

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbTests;
  cin >> nbTests;
  for (int iTest(0); iTest < nbTests; ++iTest)
    solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3704kb

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:

38.249999999999993
1.230769230769231
2999999999999.999511718750000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 729ms
memory: 3548kb

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:

145405766328.349090576171875
16414958969.727277755737305
5202715639.835183143615723
321977234.156325817108154
45384199210.221679687500000
183885744.769230753183365
1708925225.230472087860107
89786664971.557922363281250
13924365606.287387847900391
412975327.555555522441864
965508404.512101411819458
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 898ms
memory: 4304kb

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:

189662921.363636344671249
197971181.333333313465118
997533531.737629532814026
6439673170.665740966796875
993821598110.660888671875000
22727977326.402660369873047
34702455207.518501281738281
677770533.929817438125610
46631726883.969131469726562
5446481867.129031181335449
11336247450.272077560424805
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 845ms
memory: 18128kb

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:

519985220219.811706542968750
511413015796.766418457031250
424240880533.633972167968750
518849481155.503906250000000
1882496988186.444091796875000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 873ms
memory: 8668kb

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:

89670748252.978591918945312
98630840901.507598876953125
29393530999.894321441650391
50801000770.955978393554688
39668001027.269325256347656
467846478226.411376953125000
30789914370.574310302734375
23151476830.905094146728516
51606123416.625823974609375
151713060001.662567138671875
100944679009.60926...

result:

ok 38 numbers