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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#267810#5505. Great Chasekilo_tobo_tarjen#AC ✓775ms10148kbC++201.2kb2023-11-27 18:49:492023-11-27 18:49:49

Judging History

你现在查看的是最新测评结果

  • [2023-11-27 18:49:49]
  • 评测
  • 测评结果:AC
  • 用时:775ms
  • 内存:10148kb
  • [2023-11-27 18:49:49]
  • 提交

answer

#include <bits/stdc++.h>
// #include <bits/extc++.h>
// using namespace __gnu_cxx;
// using namespace __gnu_pbds;
using i64 = long long;
using namespace std;
const int N = 4e5 + 5;
// const int B = 500;
// const int M = 50005;
// const int base = 17131;
const int mod = 998244353;
// const int mod = 1e9 + 7;
// const double pi = acos(-1);

int n, v0;
i64 pos[N], v[N];
bool check(double time)
{
    double l = -1e18, r = 1e18;
    for (int i = 1; i <= n; i++)
    {
        if (pos[i] < 0)
            l = max(l, time * v[i] + pos[i]);
        else
            r = min(r, 1.0 * pos[i] - time * v[i]);
    }
    if (l >= r)
        return true;
    else
        return false;
}
void solve()
{
    cin >> n >> v0;
    for (int i = 1; i <= n; i++)
        cin >> pos[i] >> v[i];
    double l = 0, r = 1e12, mid;
    int cnt = 100;
    while (cnt--)
    {
        mid = (l + r) / 2.0;
        if (check(mid))
            r = mid;
        else
            l = mid;
    }
    cout << r * v0 << '\n';
}
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1;
    cin >> t;
    cout << fixed << setprecision(12);
    while (t--)
        solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5888kb

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: 364ms
memory: 5888kb

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:

145405766328.349121093750
16414958969.727281570435
5202715639.835184097290
321977234.156325876713
45384199210.221687316895
183885744.769230782986
1708925225.230472326279
89786664971.557937622070
13924365606.287389755249
412975327.555555582047
965508404.512101650238
4703493416.288375854492
352961619....

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 723ms
memory: 6148kb

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:

189662921.363636374474
197971181.333333343267
997533531.737629771233
6439673170.665741920471
993821598110.661010742188
22727977326.402664184570
34702455207.518508911133
677770533.929817557335
46631726883.969139099121
5446481867.129032135010
11336247450.272079467773
4409370840.439131736755
1568160605...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 521ms
memory: 10148kb

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:

519985220219.811767578125
511413015796.766479492188
424240880533.634033203125
518849481155.503906250000
1882496988186.444091796875

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 775ms
memory: 8940kb

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:

89670748252.978607177734
98630840901.507614135742
29393530999.894325256348
50801000770.955986022949
39668001027.269332885742
467846478226.411437988281
30789914370.574314117432
23151476830.905097961426
51606123416.625831604004
151713060001.662597656250
100944679009.609283447266
766785664078.359008789...

result:

ok 38 numbers