QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#77143 | #5505. Great Chase | UCSC_Ravioli# | AC ✓ | 1712ms | 9728kb | C++20 | 1.3kb | 2023-02-13 05:22:35 | 2023-02-13 05:22:39 |
Judging History
answer
// qdd on Feb 12, 2023
#ifdef qdd
#include <ringo>
#else
#include <bits/stdc++.h>
#define dbg(...)
#define dbgr(x, y)
#endif
using namespace std;
using ll = long long;
template <class T>
istream& operator>>(istream& is, vector<T>& v) {
for (T& x : v) is >> x;
return is;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
bool f = 0;
for (const T& x : v) (f ? os << ' ' : os) << x, f = 1;
return os;
}
void sol() {
int n;
ll V;
cin >> n >> V;
vector<ll> p(n), v(n);
for (int i = 0; i < n; i++) {
cin >> p[i] >> v[i];
}
double L = 0, R = 2.0001e12;
auto check = [&](double x) {
double left_max = -1e12, right_min = 1e12;
for (int i = 0; i < n; i++) {
if (p[i] == 0) {
left_max = right_min = 0;
} else if (p[i] < 0) {
left_max = max(left_max, p[i] + x * v[i]);
} else {
right_min = min(right_min, p[i] - x * v[i]);
}
}
return left_max >= right_min;
};
for (int _ = 0; _ < 150; _++) {
double mid = (L + R) / 2;
if (check(mid))
R = mid;
else
L = mid;
}
cout << L * V << '\n';
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(10);
int tt;
cin >> tt;
while (tt--) sol();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3632kb
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 2999999999999.9995117188
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 685ms
memory: 3636kb
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:
145405766328.3490905762 16414958969.7272777557 5202715639.8351831436 321977234.1563258171 45384199210.2216796875 183885744.7692307532 1708925225.2304720879 89786664971.5579223633 13924365606.2873878479 412975327.5555555224 965508404.5121014118 4703493416.2883758545 352961619.3810437918 5575125771.79...
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 1712ms
memory: 3924kb
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:
189662921.3636363447 197971181.3333333135 997533531.7376295328 6439673170.6657409668 993821598110.6608886719 22727977326.4026603699 34702455207.5185012817 677770533.9298174381 46631726883.9691314697 5446481867.1290311813 11336247450.2720775604 4409370840.4391307831 15681606050.5762863159 14986614231...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 970ms
memory: 9728kb
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:
519985220219.8117065430 511413015796.7664184570 424240880533.6339721680 518849481155.5039062500 1882496988186.4440917969
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 1545ms
memory: 6732kb
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:
89670748252.9785919189 98630840901.5075988770 29393530999.8943214417 50801000770.9559783936 39668001027.2693252563 467846478226.4113769531 30789914370.5743103027 23151476830.9050941467 51606123416.6258239746 151713060001.6625671387 100944679009.6092681885 766785664078.3588867188 39969642788.06186676...
result:
ok 38 numbers