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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#76859#5505. Great ChaserniyaAC ✓1470ms9492kbC++172.9kb2023-02-12 13:38:142023-02-12 13:38:15

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.
  • [2023-02-12 13:38:15]
  • 评测
  • 测评结果:AC
  • 用时:1470ms
  • 内存:9492kb
  • [2023-02-12 13:38:14]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define ALL(x) (x).begin(), (x).end()
#ifdef LOCAL
#include "debug.hpp"
#else
#define debug(...) void(0)
#endif

template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (size_t i = 0; i < v.size(); i++) {
        os << v[i] << (i + 1 == v.size() ? "" : " ");
    }
    return os;
}

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
long long MSK(int n) { return (1LL << n) - 1; }

template <class T> T ceil(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? x / y : (x - y + 1) / y);
}

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <typename T> void mkuni(vector<T>& v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
}
template <typename T> int lwb(const vector<T>& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); }

const int INF = (1 << 30) - 1;
const long long IINF = (1LL << 60) - 1;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const int MOD = 998244353;
// const int MOD = 1000000007;

void solve() {
    int n;
    double rv;
    cin >> n >> rv;
    vector<double> p(n), v(n);
    for (int i = 0; i < n; i++) cin >> p[i] >> v[i];

    auto check = [&](double x) {
        double Min = IINF, Max = -IINF;
        for (int i = 0; i < n; i++) {
            if (p[i] > 0)
                chmin(Min, p[i] - v[i] * x);
            else
                chmax(Max, p[i] + v[i] * x);
        }
        return Min <= Max;
    };
    double lb = 0, ub = 1e13;
    for (int _ = 0; _ < 100; _++) {
        double mid = (lb + ub) / 2;
        (check(mid) ? ub : lb) = mid;
    }

    cout << ub * rv << '\n';
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    int z;
    cin >> z;
    for (; z--;) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3672kb

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:

38.250000000000000
1.230769230769231
3000000000000.000000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 766ms
memory: 3668kb

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:

145405766328.349121093750000
16414958969.727281570434570
5202715639.835184097290039
321977234.156325876712799
45384199210.221687316894531
183885744.769230782985687
1708925225.230472326278687
89786664971.557937622070312
13924365606.287389755249023
412975327.555555582046509
965508404.512101650238037
4...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1437ms
memory: 3844kb

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:

189662921.363636374473572
197971181.333333343267441
997533531.737629771232605
6439673170.665741920471191
993821598110.661010742187500
22727977326.402664184570312
34702455207.518508911132812
677770533.929817557334900
46631726883.969139099121094
5446481867.129032135009766
11336247450.272079467773438
4...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1007ms
memory: 9492kb

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:

519985220219.811767578125000
511413015796.766479492187500
424240880533.634033203125000
518849481155.503906250000000
1882496988186.444091796875000

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1470ms
memory: 6724kb

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:

89670748252.978607177734375
98630840901.507614135742188
29393530999.894325256347656
50801000770.955986022949219
39668001027.269332885742188
467846478226.411437988281250
30789914370.574314117431641
23151476830.905097961425781
51606123416.625831604003906
151713060001.662597656250000
100944679009.60928...

result:

ok 38 numbers