QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#206439 | #5505. Great Chase | dkdk | AC ✓ | 619ms | 21188kb | C++20 | 1.7kb | 2023-10-07 20:30:49 | 2023-10-07 20:30:50 |
Judging History
answer
#include <iostream>
#include <cstring>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <stack>
#include <deque>
#include <cmath>
#include <string>
#include <set>
#include <iomanip>
#define ft first
#define sd second
#define endl '\n'
#define lowbit(x) (x & (-x))
using namespace std;
using LL = long long;
using ULL = unsigned long long;
using PII = pair<int, int>;
using PDI = pair<double, int>;
using i128 = __int128;
const double eps = 1e-9;
const int N = 1010, mod = 998244353, INF = 2147483647;
int dx[4] = {-1, 1, 0, 0}, dy[4] = {0, 0, -1, 1};
int n;
double v;
vector<PDI> a, b;
bool check(double t)
{
double xa = -1e18, xb = 1e18;
for(auto o : a)
{
double p = o.ft, v = o.sd;
xa = max(xa, p + v * t);
}
for(auto o : b)
{
double p = o.ft, v = o.sd;
xb = min(xb, p - v * t);
}
if(xa > xb)return true;
else return false;
}
void solve()
{
cin >> n >> v;
a.clear(), b.clear();
for(int i = 0; i < n ; i++)
{
double x, y;
cin >> x >> y;
if(x < 0)a.push_back({x, y});
else b.push_back({x, y});
}
double l = 0, r = 1e12;
for(int i = 0; i < 100 ; i++)
{
double mid = (l + r) / 2;
if(check(mid))r = mid;
else l = mid;
}
//cout << l << ' ' << r << ' ' << eps << endl;
cout << l * v << endl;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int t = 1;
cin >> t;
cout << setprecision(20);
while(t -- )solve();
return 0;
}
/*
3
4 9
10 2
-7 2
-6 1
7 1
2 8
-1 7
1 6
2 3
-1000000000000 1
1000000000000 1
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3864kb
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:
38.25 1.2307692307692306155 3000000000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 538ms
memory: 3904kb
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:
145405766328.34909058 16414958969.727277756 5202715639.8351831436 321977234.15632587671 45384199210.221679688 183885744.76923075318 1708925225.2304723263 89786664971.557937622 13924365606.287387848 412975327.55555552244 965508404.51210141182 4703493416.2883758545 352961619.38104385138 5575125771.798...
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 593ms
memory: 4104kb
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:
189662921.36363637447 197971181.33333331347 997533531.73762953281 6439673170.6657419205 993821598110.66088867 22727977326.40266037 34702455207.518501282 677770533.92981743813 46631726883.96913147 5446481867.129032135 11336247450.27207756 4409370840.4391317368 15681606050.576286316 14986614231.546859...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 619ms
memory: 21188kb
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:
519985220219.81170654 511413015796.76647949 424240880533.6340332 518849481155.50390625 1882496988186.4440918
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 602ms
memory: 6680kb
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:
89670748252.978591919 98630840901.507598877 29393530999.894321442 50801000770.955978394 39668001027.269325256 467846478226.41137695 30789914370.574310303 23151476830.905094147 51606123416.625823975 151713060001.66256714 100944679009.60928345 766785664078.35900879 39969642788.06186676 62341065938.360...
result:
ok 38 numbers