QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#119152#5505. Great Chasehos_lyricAC ✓968ms9456kbC++142.1kb2023-07-05 01:53:382023-07-05 01:53:41

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.
  • [2023-07-05 01:53:41]
  • 评测
  • 测评结果:AC
  • 用时:968ms
  • 内存:9456kb
  • [2023-07-05 01:53:38]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


using Double = long double;
constexpr Double INF = 1e+30;

int N;
Int U;
vector<Int> P, V;

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    scanf("%d%lld", &N, &U);
    P.resize(N);
    V.resize(N);
    for (int i = 0; i < N; ++i) {
      scanf("%lld%lld", &P[i], &V[i]);
    }
    
    Double lo = 0.0, hi = 1e+15;
    for (int iter = 0; iter < 100; ++iter) {
      const Double mid = (lo + hi) / 2;
      Double mxL = -INF;
      Double mnR = +INF;
      for (int i = 0; i < N; ++i) {
        if (P[i] < 0) {
          chmax(mxL, P[i] + V[i] * mid);
        } else {
          chmin(mnR, P[i] - V[i] * mid);
        }
      }
      ((mxL >= mnR) ? hi : lo) = mid;
    }
    const Double ans = U * hi;
    printf("%.12Lf\n", ans);
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3676kb

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:

38.250000000000
1.230769230769
3000000000000.000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 575ms
memory: 3712kb

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:

145405766328.349110037088
16414958969.727281192318
5202715639.835183900315
321977234.156325869262
45384199210.221683971584
183885744.769230769234
1708925225.230472358060
89786664971.557942636311
13924365606.287388795055
412975327.555555555708
965508404.512101492670
4703493416.288376524579
352961619....

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 897ms
memory: 4112kb

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:

189662921.363636363705
197971181.333333333387
997533531.737629592477
6439673170.665741784964
993821598110.661077857018
22727977326.402660988271
34702455207.518504031003
677770533.929817498836
46631726883.969133235514
5446481867.129032258410
11336247450.272078594193
4409370840.439131625928
1568160605...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 855ms
memory: 9456kb

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:

519985220219.811770915985
511413015796.766475379467
424240880533.634020328522
518849481155.503918796778
1882496988186.444000005722

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 968ms
memory: 7848kb

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:

89670748252.978608019650
98630840901.507606960833
29393530999.894327789545
50801000770.955985423177
39668001027.269331343472
467846478226.411370843649
30789914370.574311614037
23151476830.905098434538
51606123416.625827591866
151713060001.662588924170
100944679009.609286278486
766785664078.358981728...

result:

ok 38 numbers