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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#197789 | #7521. Find the Gap | ayersz | WA | 15ms | 3704kb | C++20 | 3.8kb | 2023-10-02 19:52:46 | 2023-10-02 19:52:46 |
Judging History
answer
/*
*@author:Ayersz127
*@time: 2023-10-02
*/
#include <bits/stdc++.h>
// #define MULTITEST
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using ld = long double;
template <typename T>
bool cmax(T &x, const T &y) {
return x < y ? x = y, 1 : 0;
}
template <typename T>
bool cmin(T &x, const T &y) {
return x > y ? x = y, 1 : 0;
}
const int N = 55;
struct point {
ld x, y, z;
point(ld x = 0, ld y = 0, ld z = 0) : x(x), y(y), z(z) {}
point operator-(const point &rhs) const {
return point(x - rhs.x, y - rhs.y, z - rhs.z);
}
ld len() const {
return sqrt(x * x + y * y + z * z);
}
} p[N];
using vec = point;
const ld EPS = 1e-21;
int sgn(ld x) {
if (std::abs(x) < EPS) {
return 0;
} else {
return x < 0 ? -1 : 1;
}
}
vec crs(vec a, vec b) {
return vec(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - b.x * a.y);
}
int n;
void solve(int tc) {
std::cin >> n;
for (int i = 0; i < n; i++) {
std::cin >> p[i].x >> p[i].y >> p[i].z;
}
// 三点搞一个面
ld ans = 1e18;
for (int i = 0; i < n; i++) {
for (int j = i + 1; j < n; j++) {
for (int k = j + 1; k < n; k++) {
vec v0 = p[j] - p[i], v1 = p[k] - p[i];
vec h = crs(v0, v1);
if (sgn(h.len()) == 0) {
continue;
}
ld A = h.x, B = h.y, C = h.z, D0, dis = 0;
D0 = -A * p[i].x - B * p[i].y - C * p[i].z;
int f = 0;
bool flag = 1;
for (int t = 0; t < n; t++) {
double D1 = -A * p[t].x - B * p[t].y - C * p[t].z;
if (sgn(D0 - D1) == 0) {
continue;
}
if (f == 0) {
f = (D0 > D1) ? 1 : -1;
}
if ((D0 > D1 && f == -1) || (D0 < D1 && f == 1)) {
flag = 0;
break;
}
dis = std::max(dis, std::abs(D0 - D1) / h.len());
}
if (flag) {
ans = std::min(ans, dis);
}
}
}
}
for (int i = 0; i < n; i++) {
for (int j = i + 1; j < n; j++) {
for (int k = 0; k < n; k++) {
for (int t = k + 1; t < n; t++) {
vec v0 = p[j] - p[i], v1 = p[t] - p[k];
vec h = crs(v0, v1);
if (sgn(h.len()) == 0) {
continue;
}
ld A = h.x, B = h.y, C = h.z, D0, D1;
D0 = -A * p[i].x - B * p[i].y - C * p[i].z;
D1 = -A * p[k].x - B * p[k].y - C * p[k].z;
bool flag = true;
for (int u = 0; u < n; u++) {
ld Dx = -A * p[u].x - B * p[u].y - C * p[u].z;
if (sgn(Dx - D0) * sgn(Dx - D1) > 0) {
flag = false;
break;
}
}
if (flag) {
ans = std::min(ans, std::abs(D0 - D1) / h.len());
}
}
}
}
}
std::cout << ans << "\n";
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout.tie(nullptr);
std::cout << std::fixed << std::setprecision(15);
int t = 1;
#ifdef MULTITEST
std::cin >> t;
#endif
for (int i = 1; i <= t; i++) {
solve(i);
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3704kb
input:
8 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 2 2 1 2 2 2
output:
1.000000000000000
result:
ok found '1.000000000', expected '1.000000000', error '0.000000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
5 1 1 1 1 2 1 1 1 2 1 2 2 2 1 1
output:
0.707106781186547
result:
ok found '0.707106781', expected '0.707106781', error '0.000000000'
Test #3:
score: -100
Wrong Answer
time: 15ms
memory: 3656kb
input:
50 973 1799 4431 1036 1888 4509 1099 1977 4587 1162 2066 4665 1225 2155 4743 1288 2244 4821 1351 2333 4899 1414 2422 4977 1540 2600 5133 1603 2689 5211 1666 2778 5289 1729 2867 5367 1792 2956 5445 1855 3045 5523 1918 3134 5601 1981 3223 5679 2044 3312 5757 2107 3401 5835 2170 3490 5913 2296 3668 606...
output:
1000000000000000000.000000000000000
result:
wrong answer 1st numbers differ - expected: '0.0000000', found: '1000000000000000000.0000000', error = '1000000000000000000.0000000'