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 |
|---|---|---|---|---|---|---|---|---|---|
| #367852 | #8505. Almost Aligned | ucup-team1196# | TL | 1ms | 4048kb | C++23 | 3.2kb | 2024-03-26 15:34:22 | 2024-03-26 15:34:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
std::cin >> n;
std::vector<int> x(n + 1), y(n + 1), dx(n + 1), dy(n + 1);
for (int i = 1; i <= n; i++) {
std::cin >> x[i] >> y[i] >> dx[i] >> dy[i];
}
long double l = 0, r = 1e18;
auto get = [&](long double mid) {
long double lx = 1e100, rx = -1e100;
long double ly = 1e100, ry = -1e100;
for (int i = 1; i <= n; i++) {
long double xx = (long double)x[i] + mid * dx[i];
long double yy = (long double)y[i] + mid * dy[i];
lx = std::min(lx, xx);
rx = std::max(rx, xx);
ly = std::min(ly, yy);
ry = std::max(ry, yy);
}
return (rx - lx) * (ry - ly);
};
auto getx = [&](long double mid) {
long double lx = 1e100, rx = -1e100;
for (int i = 1; i <= n; i++) {
long double xx = (long double)x[i] + mid * dx[i];
lx = std::min(lx, xx);
rx = std::max(rx, xx);
}
return (rx - lx);
};
auto gety = [&](long double mid) {
long double ly = 1e100, ry = -1e100;
for (int i = 1; i <= n; i++) {
long double yy = (long double)y[i] + mid * dy[i];
ly = std::min(ly, yy);
ry = std::max(ry, yy);
}
return (ry - ly);
};
l = 0, r = 1e18;
for (int i = 1; i <= 200; i++) {
long double m1 = l + (r - l) / 3, m2 = l + 2 * (r - l) / 3;
long double ans1 = get(m1), ans2 = get(m2);
if (ans1 < ans2) {
r = m2;
} else {
l = m1;
}
}
long double ans1 = l;
l = 0, r = 1e18;
for (int i = 1; i <= 200; i++) {
long double m1 = l + (r - l) / 3, m2 = l + 2 * (r - l) / 3;
long double ans1 = getx(m1), ans2 = getx(m2);
if (ans1 < ans2) {
r = m2;
} else {
l = m1;
}
}
long double ans2 = l;
l = 0, r = 1e18;
for (int i = 1; i <= 200; i++) {
long double m1 = l + (r - l) / 3, m2 = l + 2 * (r - l) / 3;
long double ans1 = gety(m1), ans2 = gety(m2);
if (ans1 < ans2) {
r = m2;
} else {
l = m1;
}
}
long double ans3 = l;
long double MID = (ans2 + ans3) / 2;
l = ans2, r = MID;
for (int i = 1; i <= 200; i++) {
long double m1 = l + (r - l) / 3, m2 = l + 2 * (r - l) / 3;
long double ans1 = get(m1), ans2 = get(m2);
if (ans1 < ans2) {
r = m2;
} else {
l = m1;
}
}
long double ans4 = l;
l = MID, r = ans3;
for (int i = 1; i <= 200; i++) {
long double m1 = l + (r - l) / 3, m2 = l + 2 * (r - l) / 3;
long double ans1 = get(m1), ans2 = get(m2);
if (ans1 < ans2) {
r = m2;
} else {
l = m1;
}
}
long double ans5 = l;
std::cout << std::fixed << std::setprecision(20) << std::min({get(ans1), get(ans2), get(ans3), get(ans4), get(ans5)}) << "\n";
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3848kb
input:
4 0 0 10 10 0 0 10 10 10 10 -10 -10 10 0 -20 0
output:
22.22222222222222222203
result:
ok found '22.222222222', expected '22.222222222', error '0.000000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
3 0 -1 0 2 1 1 1 1 -1 1 -1 1
output:
0.00000000000000001821
result:
ok found '0.000000000', expected '0.000000000', error '0.000000000'
Test #3:
score: 0
Accepted
time: 1ms
memory: 4028kb
input:
3 0 -1 0 -2 1 1 1 1 -1 1 -1 1
output:
4.00000000000000000000
result:
ok found '4.000000000', expected '4.000000000', error '0.000000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
1 0 0 0 0
output:
0.00000000000000000000
result:
ok found '0.000000000', expected '0.000000000', error '-0.000000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 4048kb
input:
4 1000000 1000000 -1 -1000000 1000000 -1000000 -1000000 1 -1000000 -1000000 1 1000000 -1000000 1000000 1000000 -1
output:
3999984000031.99995207786560058594
result:
ok found '3999984000032.000000000', expected '3999984000032.000000000', error '0.000000000'
Test #6:
score: -100
Time Limit Exceeded
input:
1000000 -871226 486657 -467526 31395 -65837 846554 469710 -907814 927993 -45099 713462 -276539 261942 483255 746021 811070 63449 -779486 588838 -413687 812070 -87868 -813499 -420768 112521 -622607 -832012 921368 -182120 517379 -401743 -837524 -685985 337832 643014 135144 12895 326935 -495720 930620 ...