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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#77143#5505. Great ChaseUCSC_Ravioli#AC ✓1712ms9728kbC++201.3kb2023-02-13 05:22:352023-02-13 05:22:39

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 05:22:39]
  • 评测
  • 测评结果:AC
  • 用时:1712ms
  • 内存:9728kb
  • [2023-02-13 05:22:35]
  • 提交

answer

// qdd on Feb 12, 2023

#ifdef qdd
#include <ringo>
#else
#include <bits/stdc++.h>
#define dbg(...)
#define dbgr(x, y)
#endif

using namespace std;

using ll = long long;

template <class T>
istream& operator>>(istream& is, vector<T>& v) {
  for (T& x : v) is >> x;
  return is;
}

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
  bool f = 0;
  for (const T& x : v) (f ? os << ' ' : os) << x, f = 1;
  return os;
}

void sol() {
  int n;
  ll V;
  cin >> n >> V;
  vector<ll> p(n), v(n);
  for (int i = 0; i < n; i++) {
    cin >> p[i] >> v[i];
  }
  double L = 0, R = 2.0001e12;
  auto check = [&](double x) {
    double left_max = -1e12, right_min = 1e12;
    for (int i = 0; i < n; i++) {
      if (p[i] == 0) {
        left_max = right_min = 0;
      } else if (p[i] < 0) {
        left_max = max(left_max, p[i] + x * v[i]);
      } else {
        right_min = min(right_min, p[i] - x * v[i]);
      }
    }
    return left_max >= right_min;
  };
  for (int _ = 0; _ < 150; _++) {
    double mid = (L + R) / 2;
    if (check(mid))
      R = mid;
    else
      L = mid;
  }
  cout << L * V << '\n';
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << fixed << setprecision(10);
  int tt;
  cin >> tt;
  while (tt--) sol();
  return 0;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 3632kb

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
2999999999999.9995117188

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 685ms
memory: 3636kb

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:

145405766328.3490905762
16414958969.7272777557
5202715639.8351831436
321977234.1563258171
45384199210.2216796875
183885744.7692307532
1708925225.2304720879
89786664971.5579223633
13924365606.2873878479
412975327.5555555224
965508404.5121014118
4703493416.2883758545
352961619.3810437918
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1712ms
memory: 3924kb

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:

189662921.3636363447
197971181.3333333135
997533531.7376295328
6439673170.6657409668
993821598110.6608886719
22727977326.4026603699
34702455207.5185012817
677770533.9298174381
46631726883.9691314697
5446481867.1290311813
11336247450.2720775604
4409370840.4391307831
15681606050.5762863159
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 970ms
memory: 9728kb

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:

519985220219.8117065430
511413015796.7664184570
424240880533.6339721680
518849481155.5039062500
1882496988186.4440917969

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1545ms
memory: 6732kb

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:

89670748252.9785919189
98630840901.5075988770
29393530999.8943214417
50801000770.9559783936
39668001027.2693252563
467846478226.4113769531
30789914370.5743103027
23151476830.9050941467
51606123416.6258239746
151713060001.6625671387
100944679009.6092681885
766785664078.3588867188
39969642788.06186676...

result:

ok 38 numbers