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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#474459#5505. Great ChasepiratZnachor#AC ✓1362ms19060kbC++143.6kb2024-07-12 18:39:392024-07-12 18:39:39

Judging History

你现在查看的是最新测评结果

  • [2024-07-12 18:39:39]
  • 评测
  • 测评结果:AC
  • 用时:1362ms
  • 内存:19060kb
  • [2024-07-12 18:39:39]
  • 提交

answer

#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <stdio.h>
#include <string.h>
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <cassert>
using namespace std;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif

// #define int long long
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define pb push_back
#define BOOST ios_base::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL);
typedef long long ll;
typedef long double ld;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ii> vii;
typedef vector<ll> vll;
void test_case() {
    int n;
    ll vr;
    cin >> n >> vr;
    vector<pair<ll,ll>> left, right;
    for(int i = 0; i < n; i++) {
        ll x, v;
        cin >> x >> v;
        if(x < 0) left.pb({x, v});
        else right.pb({x, v});
    }
    auto check = [&](ld x) {
        ld left_max = -1e13, right_min = 1e13;
        for(auto p : left) {
            left_max = max(left_max, p.first + p.second * x);
        }
        for(auto p : right) {
            right_min = min(right_min, p.first - p.second * x);
        }
        return left_max > right_min;
    };
    ld l = 0, r = 1e12 + 5;
    for(int i = 0; i < 200; i++) {
        ld mid = (l + r) / 2;
        if(check(mid)) {
            r = mid;
        } else {
            l = mid;
        }
    }
    cout << fixed << setprecision(12) << vr * l << "\n";
}
int32_t main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int tc = 1;
    cin >> tc;
    while(tc--) {
        test_case();
    }
    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:

38.250000000000
1.230769230769
3000000000000.000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1134ms
memory: 3956kb

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
16414958969.727281190455
5202715639.835183899850
321977234.156325868942
45384199210.221683971584
183885744.769230769234
1708925225.230472357944
89786664971.557942636311
13924365606.287388794124
412975327.555555555533
965508404.512101492495
4703493416.288376523647
352961619....

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1362ms
memory: 4272kb

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:

189662921.363636363632
197971181.333333333328
997533531.737629592360
6439673170.665741784498
993821598110.661077797413
22727977326.402660986409
34702455207.518504027277
677770533.929817498662
46631726883.969133231789
5446481867.129032257944
11336247450.272078594193
4409370840.439131624997
1568160605...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1359ms
memory: 19060kb

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:

519985220219.811770886183
511413015796.766475349665
424240880533.634020358324
518849481155.503918766975
1882496988186.443999886513

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1357ms
memory: 8820kb

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:

89670748252.978608012199
98630840901.507606953382
29393530999.894327787682
50801000770.955985419452
39668001027.269331343472
467846478226.411370813847
30789914370.574311612174
23151476830.905098432675
51606123416.625827591866
151713060001.662588909268
100944679009.609286278486
766785664078.358981668...

result:

ok 38 numbers