QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#206403 | #5505. Great Chase | dkdk | AC ✓ | 537ms | 22316kb | C++20 | 1.8kb | 2023-10-07 20:20:22 | 2023-10-07 20:20:24 |
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 = (b.back().ft - a.back().ft) / (b.back().sd + a.back().sd);
while(r - l > r * eps)
{
double mid = (l + r) / 2;
//cout << r - l << endl;
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: 1ms
memory: 3692kb
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:
38.249999981140717864 1.2307692296229877371 2999999997206.0322266
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 477ms
memory: 3836kb
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:
145405766320.75476074 16414958964.935857773 5202715638.8253688812 321977234.05339133739 45384199189.949958801 183885744.71460151672 1708925225.2302970886 89786664923.352340698 13924365605.959119797 412975327.27695441246 965508404.11592268944 4703493415.878364563 352961619.3461766243 5575125768.90370...
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 537ms
memory: 3992kb
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:
189662921.33453005552 197971181.32380193472 997533530.92471122742 6439673169.415140152 993821598000.87243652 22727977312.779430389 34702455189.909873962 677770533.58397579193 46631726865.549171448 5446481862.0085382462 11336247444.635557175 4409370837.389673233 15681606050.008201599 14986614224.1759...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 525ms
memory: 22316kb
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:
519985220201.72174072 511413015656.01812744 424240880316.39556885 518849481115.3671875 1882496987586.5734863
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 532ms
memory: 6592kb
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:
89670748248.576461792 98630840877.416381836 29393530993.975414276 50801000769.317466736 39668001019.462463379 467846477883.29595947 30789914347.956680298 23151476827.507144928 51606123400.787979126 151713059970.35281372 100944679009.2434845 766785663813.65563965 39969642783.078353882 62341065932.768...
result:
ok 38 numbers