QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#203704 | #5505. Great Chase | Yuey | AC ✓ | 4500ms | 13060kb | C++20 | 927b | 2023-10-06 19:29:46 | 2023-10-06 19:29:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 2e6 + 10;
#define int long long
double x[N], w[N];
int n;
bool check(double mid)
{
double r1 = -1e12, r2 = 1e12;
for (int i = 1; i <= n; i++)
{
if (x[i] < 0)
{
r1 = max(r1, x[i] + mid * w[i]);
}
else
r2 = min(r2, x[i] - mid * w[i]);
}
return r1 > r2; // 相遇
}
void solve()
{
cin >> n;
double v;
cin >> v;
for (int i = 1; i <= n; i++)
{
cin >> x[i] >> w[i];
}
double l = 0, r = 1e12;
for(int i = 1; i <= 600; ++i)
{
double mid = (l + r) / 2;
if (check(mid))
r = mid;
else
l = mid;
}
double ans = l * v;
printf("%.12lf\n", ans);
}
signed main()
{
int t = 1;
cin >> t;
while (t--)
solve();
// system("pause");
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 5956kb
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 3000000000000.000000000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 1823ms
memory: 5912kb
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 321977234.156325876713 45384199210.221679687500 183885744.769230753183 1708925225.230472326279 89786664971.557937622070 13924365606.287387847900 412975327.555555522442 965508404.512101411819 4703493416.288375854492 352961619....
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 3748ms
memory: 8300kb
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:
189662921.363636374474 197971181.333333313465 997533531.737629532814 6439673170.665741920471 993821598110.660888671875 22727977326.402660369873 34702455207.518501281738 677770533.929817438126 46631726883.969131469727 5446481867.129032135010 11336247450.272077560425 4409370840.439131736755 1568160605...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 3120ms
memory: 13060kb
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 511413015796.766479492188 424240880533.634033203125 518849481155.503906250000 1882496988186.444091796875
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 4500ms
memory: 9684kb
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 100944679009.609283447266 766785664078.359008789...
result:
ok 38 numbers