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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#583255#5505. Great Chaseticking_away#AC ✓2139ms9640kbC++202.0kb2024-09-22 19:14:542024-09-22 19:14:56

Judging History

你现在查看的是最新测评结果

  • [2024-09-22 19:14:56]
  • 评测
  • 测评结果:AC
  • 用时:2139ms
  • 内存:9640kb
  • [2024-09-22 19:14:54]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ui = unsigned int;
using ull = unsigned long long;
using ll = long long;
#define endl '\n'
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int maxn = 2e5 + 10;
const int mod = 1000000007;
#define inl inline
#define fr(i, a, b) for (int i = a; i <= b; i++)
#define ford(i, a, b) for (int i = a; i >= b; i--)
#define forall(i, a) for (auto &i : a)

/**
   ____         ___ _____
  / ___| _   _ / _ \___ /
  \___ \| | | | | | ||_ \
   ___) | |_| | |_| |__) |
  |____/ \__, |\___/____/
         |___/
*/
istream &operator>>(istream &in, vector<int> &v)
{
    for (auto &i : v)
        in >> i;
    return in;
}
ostream &operator<<(ostream &out, vector<int> &v)
{
    for (auto &i : v)
        out << i << " ";
    return out;
}
bool _output = 1;
#define int long long
#define db long double
const db EPS = 1e-8;
int sgn(db x) { return fabs(x) <= EPS ? 0 : (x > EPS ? 1 : -1); }
void solve()
{
    ll n, vt;
    cin >> n >> vt;

    vector<ll> v(n);
    vector<ll> a(n);

    for (int i = 0; i < n; i++)
    {
        cin >> a[i] >> v[i];
    }

    db l = 0, r = 1e13;
    int cnt = 0;
    const int INF = 1e18;
    while (1)
    {
        ++cnt;
        if (cnt > 200)
            break;
        db mid = (l + r) / 2.0L;
        auto check = [&](db x)
        {
            db mx = -INF, mn = INF;
            for (int i = 0; i < n; i++)
            {
                if (a[i] > 0)
                    mn = min(mn, 1.0 * a[i] - 1.0 * x * v[i]);
                else
                    mx = max(mx, 1.0 * a[i] + 1.0 * x * v[i]);
            }
            return sgn(mx - mn) < 0;
        };
        if (check(mid))
            l = mid;
        else
            r = mid;
    }

    cout << fixed << setprecision(10) << l * vt << endl;
}
signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int _ = 1;
    if (_output)
        cin >> _;
    while (_--)
        solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3768kb

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:

38.2499999775
1.2307692246
2999999999999.9999997616

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 911ms
memory: 3876kb

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:

145405766328.3491095155
16414958969.7272811811
5202715639.8351829993
321977234.1563258449
45384199210.2216838636
183885744.7692097246
1708925225.2304723455
89786664971.5579425320
13924365606.2873887857
412975327.5553305744
965508404.5121014863
4703493416.2883765087
352961619.3810438116
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 2139ms
memory: 4092kb

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:

189662921.3627562573
197971181.3332559767
997533531.7376295779
6439673170.6657417705
993821598110.6610777974
22727977326.4026609231
34702455207.5185040161
677770533.9298174682
46631726883.9691332206
5446481867.1288002962
11336247450.2720785709
4409370840.4391315985
15681606050.5762868384
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1418ms
memory: 9640kb

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:

519985220219.8117708564
511413015796.7664753497
424240880533.6340202987
518849481155.5039187670
1882496988186.4439622164

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1921ms
memory: 6700kb

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:

89670748252.9786070064
98630840901.5076061115
29393530999.8943271078
50801000770.9559847154
39668001027.2693304047
467846478226.4113706350
30789914370.5743107572
23151476830.9050978720
51606123416.6258269213
151713060001.6625887156
100944679009.6092855558
766785664078.3589816093
39969642788.06186634...

result:

ok 38 numbers