QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#203676 | #5505. Great Chase | Yuey | AC ✓ | 4320ms | 10180kb | C++20 | 966b | 2023-10-06 19:22:23 | 2023-10-06 19:22:23 |
Judging History
answer
# include <bits/stdc++.h>
# define int long long
# define imax(a , b) ((a) > (b) ? (a) : (b))
# define imin(a , b) ((a) < (b) ? (a) : (b))
# define rl ro << 1
# define rr ro << 1 | 1
using namespace std;
const int N = 4e5 + 511;
int n;
struct tag
{
double x , v;
}a[N];
bool check(double k){
double l = -1e12 , r = 1e12;
for (int i = 1; i <= n; ++i)
{
if (a[i].x > 0) r = imin(r , a[i].x - k * a[i].v);
if (a[i].x < 0) l = imax(l , a[i].x + k * a[i].v);
}
if ((r - l) >= 1e-15) return 1;
return 0;
}
void solve()
{
double V;
cin>>n>>V;
for (int i = 1; i <= n; ++i){
cin>>a[i].x>>a[i].v;
}
double L = 0 , R = 1e12;
for (int i = 1; i <= 600; ++i){
double mid = (L + R) / 2.0;
if (check(mid)) L = mid;
else R = mid;
}
cout<<fixed<<setprecision(12)<<L * V<<"\n";
}
signed main()
{
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
cin>>T;
while (T--) solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3996kb
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:
38.250000000000 1.230769230769 2999999999999.999511718750
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 1376ms
memory: 3880kb
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:
145405766328.349090576172 16414958969.727277755737 5202715639.835183143616 321977234.156325817108 45384199210.221679687500 183885744.769230753183 1708925225.230472087860 89786664971.557922363281 13924365606.287387847900 412975327.555555522442 965508404.512101411819 4703493416.288375854492 352961619....
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 4292ms
memory: 4340kb
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:
189662921.363636344671 197971181.333333313465 997533531.737629532814 6439673170.665740966797 993821598110.660888671875 22727977326.402660369873 34702455207.518501281738 677770533.929817438126 46631726883.969131469727 5446481867.129031181335 11336247450.272077560425 4409370840.439130783081 1568160605...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 2365ms
memory: 10180kb
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:
519985220219.811706542969 511413015796.766418457031 424240880533.633972167969 518849481155.503906250000 1882496988186.444091796875
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 4320ms
memory: 8248kb
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:
89670748252.978591918945 98630840901.507598876953 29393530999.894321441650 50801000770.955978393555 39668001027.269325256348 467846478226.411376953125 30789914370.574310302734 23151476830.905094146729 51606123416.625823974609 151713060001.662567138672 100944679009.609268188477 766785664078.358886718...
result:
ok 38 numbers