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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#344167#5505. Great Chaseucup-team1198#AC ✓409ms36232kbC++203.0kb2024-03-03 17:33:382024-03-03 17:33:38

Judging History

你现在查看的是最新测评结果

  • [2024-03-03 17:33:38]
  • 评测
  • 测评结果:AC
  • 用时:409ms
  • 内存:36232kb
  • [2024-03-03 17:33:38]
  • 提交

answer

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

struct Frac{
    long long num;
    long long den;
    Frac(long long num, long long den): num(num), den(den) {}
};

bool operator >=(const Frac& first, const Frac& second) {
    return first.num * second.den >= second.num * first.den;
}

bool operator <(const Frac& first, const Frac& second) {
    return first.num * second.den < second.num * first.den;
}


void solve() {
    int n, v;
    cin >> n >> v;
    vector<pair<long long, long long>> right;
    vector<pair<long long, long long>> left;
    for (int i = 0; i < n; ++i) {
        long long p, vi;
        cin >> p >> vi;
        if (p > 0)
            right.emplace_back(p, vi);
        else
            left.emplace_back(-p, vi);
    }
    auto transform = [](vector<pair<long long, long long>>& cops) {
        sort(cops.begin(), cops.end(), [](const pair<long long, long long>& a, const pair<long long, long long>& b) {
            if (a.second == b.second) {
                return a.first < b.first;
            }
            return a.second < b.second;
        });
        vector<Frac> events;
        vector<pair<long long, long long>> stack;
        for (auto [p, v] : cops) {
            // same speed but closer
            if (!stack.empty() && stack.back().second == v)
                continue;
            while (!stack.empty() && (events.back() >= Frac(p - stack.back().first, v - stack.back().second))) {
                stack.pop_back();
                events.pop_back();
            }
            if (stack.empty()) {
                stack.emplace_back(p, v);
                events.emplace_back(Frac(0, 1));
            } else {
                events.emplace_back(Frac(p - stack.back().first, v - stack.back().second));
                stack.emplace_back(p, v);
            }
        }
        swap(stack, cops);
        return events;
    };
    auto events_right = transform(right);
    auto events_left = transform(left);
    int i = 0;
    int j = 0;
    Frac ans(3e12, 1);
    while (i + 1 < left.size() || j + 1 < right.size()) {
        ans = min(ans, Frac(left[i].first + right[j].first, left[i].second + right[j].second));
        if (i + 1 < left.size() && (j + 1 == right.size() || events_left[i + 1] < events_right[j + 1])) {
            ++i;
        } else {
            ++j;
        }
    }
    ans = min(ans, Frac(left[i].first + right[j].first, left[i].second + right[j].second));
    long double kek = ans.num * v;
    long double lol = ans.den;
    cout << fixed << setprecision(10) << kek / lol << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    
    int t;
    cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3796kb

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:

38.2500000000
1.2307692308
3000000000000.0000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 297ms
memory: 3864kb

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:

145405766328.3491100371
16414958969.7272811905
5202715639.8351838998
321977234.1563258690
45384199210.2216839716
183885744.7692307692
1708925225.2304723579
89786664971.5579426363
13924365606.2873887951
412975327.5555555556
965508404.5121014926
4703493416.2883765241
352961619.3810438190
5575125771.79...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 390ms
memory: 4840kb

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:

189662921.3636363636
197971181.3333333333
997533531.7376295924
6439673170.6657417850
993821598110.6610778570
22727977326.4026609864
34702455207.5185040310
677770533.9298174987
46631726883.9691332318
5446481867.1290322579
11336247450.2720785942
4409370840.4391316250
15681606050.5762868561
14986614231...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 409ms
memory: 36232kb

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:

519985220219.8117708862
511413015796.7664753497
424240880533.6340203285
518849481155.5039187968
1882496988186.4440000057

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 397ms
memory: 13732kb

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:

89670748252.9786080122
98630840901.5076069608
29393530999.8943277877
50801000770.9559854232
39668001027.2693313397
467846478226.4113708138
30789914370.5743116122
23151476830.9050984345
51606123416.6258275919
151713060001.6625889093
100944679009.6092862785
766785664078.3589816689
39969642788.06186738...

result:

ok 38 numbers