QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#732240 | #5505. Great Chase | arnold518# | AC ✓ | 562ms | 22208kb | C++17 | 1022b | 2024-11-10 13:44:49 | 2024-11-10 13:44:56 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef long long lint;
const double inf = 1e18;
lint N, V;
vector<pll> l, r;
void exe() {
cin >> N >> V;
l.clear(); r.clear();
for (int i=0; i<N; i++) {
lint x, v;
cin >> x >> v;
if (x < 0) l.emplace_back(x, v);
else r.emplace_back(x, v);
}
auto able = [&](double x) {
double lmx = -inf, rmn = inf;
for (auto [p, v] : l) lmx = max(lmx, p + x * v);
for (auto [p, v] : r) rmn = min(rmn, p - x * v);
return rmn <= lmx;
};
double l = 0.0, r = 1e13;
for (int _=0; _<100; _++) {
double m = (l+r) / 2;
if (able(m)) r = m;
else l = m;
}
cout << fixed << setprecision(10);
cout << r * V << '\n';
}
int main()
{
ios_base::sync_with_stdio(false); cin.tie(NULL);
int TC;
cin >> TC;
// scanf("%d", &TC);
while(TC--)
{
exe();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3908kb
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: 449ms
memory: 3736kb
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:
145405766328.3491210938 16414958969.7272815704 5202715639.8351840973 321977234.1563258767 45384199210.2216873169 183885744.7692307830 1708925225.2304723263 89786664971.5579376221 13924365606.2873897552 412975327.5555555820 965508404.5121016502 4703493416.2883758545 352961619.3810438514 5575125771.79...
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 542ms
memory: 4080kb
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:
189662921.3636363745 197971181.3333333433 997533531.7376297712 6439673170.6657419205 993821598110.6610107422 22727977326.4026641846 34702455207.5185089111 677770533.9298175573 46631726883.9691390991 5446481867.1290321350 11336247450.2720794678 4409370840.4391317368 15681606050.5762882233 14986614231...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 562ms
memory: 22208kb
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:
519985220219.8117675781 511413015796.7664794922 424240880533.6340332031 518849481155.5039062500 1882496988186.4440917969
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 545ms
memory: 6744kb
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:
89670748252.9786071777 98630840901.5076141357 29393530999.8943252563 50801000770.9559860229 39668001027.2693328857 467846478226.4114379883 30789914370.5743141174 23151476830.9050979614 51606123416.6258316040 151713060001.6625976562 100944679009.6092834473 766785664078.3590087891 39969642788.06187438...
result:
ok 38 numbers