QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#583255 | #5505. Great Chase | ticking_away# | AC ✓ | 2139ms | 9640kb | C++20 | 2.0kb | 2024-09-22 19:14:54 | 2024-09-22 19:14:56 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ui = unsigned int;
using ull = unsigned long long;
using ll = long long;
#define endl '\n'
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int maxn = 2e5 + 10;
const int mod = 1000000007;
#define inl inline
#define fr(i, a, b) for (int i = a; i <= b; i++)
#define ford(i, a, b) for (int i = a; i >= b; i--)
#define forall(i, a) for (auto &i : a)
/**
____ ___ _____
/ ___| _ _ / _ \___ /
\___ \| | | | | | ||_ \
___) | |_| | |_| |__) |
|____/ \__, |\___/____/
|___/
*/
istream &operator>>(istream &in, vector<int> &v)
{
for (auto &i : v)
in >> i;
return in;
}
ostream &operator<<(ostream &out, vector<int> &v)
{
for (auto &i : v)
out << i << " ";
return out;
}
bool _output = 1;
#define int long long
#define db long double
const db EPS = 1e-8;
int sgn(db x) { return fabs(x) <= EPS ? 0 : (x > EPS ? 1 : -1); }
void solve()
{
ll n, vt;
cin >> n >> vt;
vector<ll> v(n);
vector<ll> a(n);
for (int i = 0; i < n; i++)
{
cin >> a[i] >> v[i];
}
db l = 0, r = 1e13;
int cnt = 0;
const int INF = 1e18;
while (1)
{
++cnt;
if (cnt > 200)
break;
db mid = (l + r) / 2.0L;
auto check = [&](db x)
{
db mx = -INF, mn = INF;
for (int i = 0; i < n; i++)
{
if (a[i] > 0)
mn = min(mn, 1.0 * a[i] - 1.0 * x * v[i]);
else
mx = max(mx, 1.0 * a[i] + 1.0 * x * v[i]);
}
return sgn(mx - mn) < 0;
};
if (check(mid))
l = mid;
else
r = mid;
}
cout << fixed << setprecision(10) << l * vt << endl;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int _ = 1;
if (_output)
cin >> _;
while (_--)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3768kb
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:
38.2499999775 1.2307692246 2999999999999.9999997616
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 911ms
memory: 3876kb
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:
145405766328.3491095155 16414958969.7272811811 5202715639.8351829993 321977234.1563258449 45384199210.2216838636 183885744.7692097246 1708925225.2304723455 89786664971.5579425320 13924365606.2873887857 412975327.5553305744 965508404.5121014863 4703493416.2883765087 352961619.3810438116 5575125771.79...
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 2139ms
memory: 4092kb
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:
189662921.3627562573 197971181.3332559767 997533531.7376295779 6439673170.6657417705 993821598110.6610777974 22727977326.4026609231 34702455207.5185040161 677770533.9298174682 46631726883.9691332206 5446481867.1288002962 11336247450.2720785709 4409370840.4391315985 15681606050.5762868384 14986614231...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 1418ms
memory: 9640kb
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:
519985220219.8117708564 511413015796.7664753497 424240880533.6340202987 518849481155.5039187670 1882496988186.4439622164
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 1921ms
memory: 6700kb
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:
89670748252.9786070064 98630840901.5076061115 29393530999.8943271078 50801000770.9559847154 39668001027.2693304047 467846478226.4113706350 30789914370.5743107572 23151476830.9050978720 51606123416.6258269213 151713060001.6625887156 100944679009.6092855558 766785664078.3589816093 39969642788.06186634...
result:
ok 38 numbers