QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#87359 | #5505. Great Chase | chiranko# | AC ✓ | 1616ms | 15716kb | C++14 | 1.1kb | 2023-03-12 18:30:00 | 2023-03-12 18:30:03 |
Judging History
answer
#include <bits/stdc++.h>
#define pb emplace_back
#define ls(x) (x << 1)
#define rs(x) (x << 1 | 1)
using namespace std;
using LDB = long double;
using DB = double;
using LL = long long;
void solve()
{
LDB eps = 1e-24;
int n;
LDB v;
scanf("%d%Lf", &n, &v);
vector<LDB> pos(n + 1, 0), speed(n + 1, 0);
for(int i = 1; i <= n; ++i){
scanf("%Lf%Lf", &pos[i], &speed[i]);
}
LDB l = 0.0, r = 1e12, mid = 0, round = 0;
while(r - l > eps && round <= 200){
++round;
mid = (l + r) / 2;
if(r - l > eps){
if(r - mid <= eps){
l = mid;
break;
}
else if(mid - l <= eps){
r = mid;
break;
}
}
LDB maxl = -1e12 - 1, minr = 1e12 + 1;
for(int i = 1; i <= n; ++i){
if(pos[i] < 0)
maxl = max(maxl, pos[i] + mid * speed[i]);
else
minr = min(minr, pos[i] - mid * speed[i]);
}
if(maxl >= minr)
r = mid;
else
l = mid;
// printf("%.12Lf %.12Lf %.12Lf\n", l, r, r - l);
}
printf("%.12Lf\n", l * v);
}
int main()
{
// ios::sync_with_stdio(0);
// cin.tie(0);
int T;
scanf("%d", &T);
while(T--){
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3620kb
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: 933ms
memory: 3672kb
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:
145405766328.349110037088 16414958969.727281192318 5202715639.835183899850 321977234.156325868971 45384199210.221683971584 183885744.769230769234 1708925225.230472357944 89786664971.557942628860 13924365606.287388794124 412975327.555555555562 965508404.512101492612 4703493416.288376523647 352961619....
result:
ok 10000 numbers
Test #3:
score: 0
Accepted
time: 1616ms
memory: 4620kb
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:
189662921.363636363632 197971181.333333333328 997533531.737629592360 6439673170.665741784964 993821598110.661077857018 22727977326.402660986409 34702455207.518504031003 677770533.929817498662 46631726883.969133235514 5446481867.129032257944 11336247450.272078593262 4409370840.439131624997 1568160605...
result:
ok 93 numbers
Test #4:
score: 0
Accepted
time: 1131ms
memory: 15716kb
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:
519985220219.811770915985 511413015796.766475349665 424240880533.634020298719 518849481155.503918766975 1882496988186.444000005722
result:
ok 5 numbers
Test #5:
score: 0
Accepted
time: 1488ms
memory: 9920kb
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:
89670748252.978608019650 98630840901.507606960833 29393530999.894327789545 50801000770.955985423177 39668001027.269331339747 467846478226.411370843649 30789914370.574311612174 23151476830.905098434538 51606123416.625827591866 151713060001.662588924170 100944679009.609286278486 766785664078.358981668...
result:
ok 38 numbers