QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#83755#5505. Great Chaseskittles1412AC ✓1898ms9896kbC++171.6kb2023-03-03 13:31:092023-03-03 13:31:24

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.
  • [2023-03-03 13:31:24]
  • 评测
  • 测评结果:AC
  • 用时:1898ms
  • 内存:9896kb
  • [2023-03-03 13:31:09]
  • 提交

answer

#include "bits/extc++.h"

using namespace std;

template <typename T>
void dbgh(const T& t) {
    cerr << t << endl;
}

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
    cerr << t << " | ";
    dbgh(u...);
}

#ifdef DEBUG
#define dbg(...)                                           \
    cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
         << ": ";                                          \
    dbgh(__VA_ARGS__)
#else
#define cerr   \
    if (false) \
    cerr
#define dbg(...)
#endif

using ld = long double;

#define endl "\n"
#define long int64_t
#define sz(x) int(std::size(x))

void solve() {
    int n;
    long vr;
    cin >> n >> vr;
    long arr[n][2];
    for (auto& [p, v] : arr) {
        cin >> p >> v;
    }
    auto check = [&](ld x) -> bool {
        ld mx = -1e100, mn = 1e100;
        for (auto& [p, v] : arr) {
            if (p < 0) {
                mx = max(mx, p + v * x);
            } else {
                mn = min(mn, p - v * x);
            }
        }
        dbg(mn, mx);
        return mn <= mx;
    };
    ld l = 0, r = 1e18;
    for (int i = 0; i < 200; i++) {
        ld mid = (l + r) / 2;
        if (check(mid)) {
            r = mid;
        } else {
            l = mid;
        }
    }
    dbg(l, r);
    cout << l * vr << endl;
}

int main() {
    cin.tie(nullptr);
    cin.exceptions(ios::failbit);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(8);
    int tcs;
    cin >> tcs;
    while (tcs--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3752kb

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:

38.25000000
1.23076923
2999999999999.99999976

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1048ms
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:

145405766328.34911002
16414958969.72728119
5202715639.83518390
321977234.15632587
45384199210.22168397
183885744.76923077
1708925225.23047236
89786664971.55794263
13924365606.28738879
412975327.55555556
965508404.51210149
4703493416.28837652
352961619.38104382
5575125771.79879716
341191687.00011621
...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1748ms
memory: 4068kb

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:

189662921.36363636
197971181.33333333
997533531.73762959
6439673170.66574178
993821598110.66107780
22727977326.40266099
34702455207.51850403
677770533.92981750
46631726883.96913323
5446481867.12903226
11336247450.27207859
4409370840.43913162
15681606050.57628686
14986614231.54685930
1025909753.14298...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1590ms
memory: 9896kb

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:

519985220219.81177089
511413015796.76647535
424240880533.63402030
518849481155.50391877
1882496988186.44399989

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1898ms
memory: 6716kb

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:

89670748252.97860801
98630840901.50760695
29393530999.89432779
50801000770.95598542
39668001027.26933134
467846478226.41137081
30789914370.57431161
23151476830.90509843
51606123416.62582759
151713060001.66258891
100944679009.60928628
766785664078.35898167
39969642788.06186738
62341065938.36004273
32...

result:

ok 38 numbers