QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#344167 | #5505. Great Chase | ucup-team1198# | AC ✓ | 409ms | 36232kb | C++20 | 3.0kb | 2024-03-03 17:33:38 | 2024-03-03 17:33:38 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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