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 |
---|---|---|---|---|---|---|---|---|---|
#655359 | #9227. Henry the Plumber | real_sigma_team | WA | 1ms | 4288kb | C++23 | 3.5kb | 2024-10-19 03:12:52 | 2024-10-19 03:12:52 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
constexpr int K = 3;
constexpr double PI = acos(-1);
using vec = std::array<double, K>;
using line = std::array<double, 3>;
vec operator+(const vec& a, const vec& b) {
vec c;
for (int i = 0; i < K; i++) {
c[i] = a[i] + b[i];
}
return c;
}
vec operator-(const vec& a, const vec& b) {
vec c;
for (int i = 0; i < K; i++) {
c[i] = a[i] - b[i];
}
return c;
}
double operator*(const vec& a, const vec& b) {
double res = 0;
for (int i = 0; i < K; i++) {
res += a[i] * b[i];
}
return res;
}
double len(const vec& a) {
return sqrt(a * a);
}
double angle(const vec& a, const vec& b) {
vec c = a - b;
return acos((a * a + b * b - c * c) / (2.0 * len(a) * len(b)));
}
line lin(const vec& norm, const vec& point) {
line res;
res[0] = norm[0] / len(norm);
res[1] = norm[1] / len(norm);
if (res[0] < 0 || (res[0] == 0 && res[1] < 0)) {
res[0] *= -1;
res[1] *= -1;
}
res[2] = -(res[0] * point[0] + res[1] * point[1]);
return res;
}
bool operator==(const line& a, const line& b) {
bool res = true;
for (int i = 0; i < 3; i++) {
res &= abs(a[i] - b[i]) < 5e-7;
}
return res;
}
bool colinear(const line& a, const line& b) {
bool res = true;
for (int i = 0; i < 2; i++) {
res &= abs(a[i] - b[i]) < 5e-7;
}
return res;
}
double val(const line& a, const vec& b) {
return a[0] * b[0] + a[1] * b[1] + a[2];
}
vec inter(line a, line b) {
vec res;
res[2] = 0;
if (b[0] == 0) {
swap(a, b);
}
if (a[0] != 0) {
double coef = a[0] / b[0];
for (int i = 0; i < K; i++) {
a[i] -= b[i] * coef;
}
}
res[1] = -a[2] / a[1];
res[0] = -(res[1] * b[1] + b[2]) / b[0];
return res;
}
void solve() {
vec norm1, point1, norm2, point2;
cin >> point1[0] >> point1[1] >> point1[2] >> norm1[0] >> norm1[1];
cin >> point2[0] >> point2[1] >> point2[2] >> norm2[0] >> norm2[1];
norm1[2] = 0;
norm2[2] = 0;
line l1 = lin(norm1, point1);
line l2 = lin(norm2, point2);
// cout << l1[0] << ' ' << l1[1] << ' ' << l1[2] << '\n';
// cout << l2[0] << ' ' << l2[1] << ' ' << l2[2] << '\n';
if (abs(val(l1, point2)) < 1e-8 && abs(val(l2, point1)) < 1e-8) {
cout << "2\n";
return;
}
if (colinear(l1, l2)) {
cout << "4\n";
return;
}
vec point = inter(l1, l2);
// cout << point[0] << ' ' << point[1] << '\n';
double l = -10000, r = 10000;
while (r - l > 1e-10) {
double m1 = (2 * l + r) / 3;
double m2 = (l + 2 * r) / 3;
point[2] = m1;
double a1 = angle(point1 - point, point2 - point);
point[2] = m2;
double a2 = angle(point1 - point, point2 - point);
if (a1 > a2) {
r = m2;
} else {
l = m1;
}
}
point[2] = l;
double a = angle(point1 - point, point2 - point);
if ((point == point2 || point == point1) && (abs(a - PI / 2) < 1e-5)) {
cout << "4\n";
return;
}
// cout << l << ' ' << a << ' ' << PI / 2 << '\n';
if (a >= PI / 2) {
cout << "3\n";
return;
}
cout << "4\n";
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
cout << fixed << setprecision(30);
int t;
cin >> t;
while (t--) {
solve();
}
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3928kb
input:
2 -1 -1 3 1 1 2 2 3 2 2 5 5 1 3 0 7 6 -2 1 -2
output:
4 3
result:
ok 2 number(s): "4 3"
Test #2:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
100 -13 -5 -7 -19 19 -19 -13 0 -7 15 -20 20 19 -17 18 20 -20 -1 18 -19 -18 15 -14 -19 18 19 -20 6 20 -19 -12 9 1 7 -16 -13 -14 -8 8 -13 -19 16 9 20 -19 19 -18 -11 19 -18 19 20 -8 12 20 -11 -9 18 -19 -18 8 11 -13 12 -18 18 13 8 4 -18 -16 20 17 -19 18 20 -18 -3 20 -19 -17 -20 -5 -18 -19 19 16 15 19 20...
output:
4 4 4 4 4 4 3 4 4 4 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 3 4 4 4 3 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4
result:
ok 100 numbers
Test #3:
score: 0
Accepted
time: 1ms
memory: 4244kb
input:
100 20 -9 -19 9 13 -12 14 -18 -17 12 2 -3 -2 2 -19 -8 9 -15 -19 3 -16 -16 -18 2 15 19 17 -6 -10 11 14 -20 -6 -19 7 -17 -8 -1 -7 -15 7 -15 3 2 13 -15 -9 11 15 2 -17 20 13 11 -8 -12 18 16 -18 -17 -17 15 -2 -20 1 8 -6 0 -16 -19 -5 -14 16 -17 10 -7 -16 17 -10 -13 1 1 -13 17 11 -3 -3 -18 4 -17 19 -6 -17 ...
output:
3 4 4 4 3 3 4 3 3 4 4 3 4 4 3 3 4 3 4 4 4 4 3 4 3 4 4 3 3 4 4 4 3 4 3 3 4 3 3 4 3 4 3 4 3 4 3 4 4 3 3 4 3 3 4 3 3 4 4 3 3 4 4 3 4 3 3 4 3 3 3 4 3 4 3 4 3 4 3 4 4 3 3 4 3 4 4 4 4 3 3 3 3 4 3 3 4 4 4 4
result:
ok 100 numbers
Test #4:
score: 0
Accepted
time: 1ms
memory: 4100kb
input:
100 10 -9 -13 8 -7 -3 3 -15 -5 11 -14 -20 -17 13 -13 3 20 16 -20 8 -2 -15 -20 8 20 20 -10 15 12 6 4 2 20 14 14 -13 6 -20 -10 20 -18 -15 19 10 9 4 18 -11 -16 -15 20 -11 6 15 -10 -17 -19 -6 -6 8 -19 -19 -18 -11 -9 -6 4 18 11 -5 2 -18 20 0 -12 -10 -18 -17 20 -20 19 19 17 2 -11 -20 2 -16 -19 13 -6 6 -5 ...
output:
4 3 4 3 4 4 3 3 3 4 4 3 3 3 4 4 3 3 3 4 4 4 3 4 3 3 3 3 4 4 3 4 4 3 4 3 3 4 4 3 3 3 4 4 3 4 4 4 4 4 3 4 3 4 4 4 3 4 4 3 4 4 3 3 3 4 3 3 3 3 4 4 4 4 3 4 4 3 4 3 4 3 3 3 4 4 3 4 3 4 4 3 4 3 4 4 3 3 4 4
result:
ok 100 numbers
Test #5:
score: 0
Accepted
time: 1ms
memory: 4208kb
input:
100 4 -19 -4 4 18 -15 20 -15 -16 18 -11 -10 -13 -7 14 20 -17 0 6 -20 -12 18 -8 3 -14 20 16 17 10 17 0 19 -17 -11 6 18 -19 -7 13 -13 -17 17 -17 -5 -1 17 -13 19 -10 -12 9 -3 -19 -12 -2 -16 11 13 12 -8 17 12 11 -1 20 13 -14 -5 -4 16 -20 8 -16 16 -3 9 -3 -6 14 -12 16 4 9 -16 -10 -15 -3 -17 -20 -2 20 2 1...
output:
4 4 3 4 3 4 4 4 4 4 3 4 3 4 3 3 4 3 3 4 3 4 3 3 4 4 4 4 4 3 3 4 3 4 3 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 3 4 4 4 4 3 4 4 3 4 3 4 3 4 4 4 4 4 4 3 4 3 4 4 4 4 3 4 4 4
result:
ok 100 numbers
Test #6:
score: 0
Accepted
time: 0ms
memory: 4208kb
input:
100 -1 -13 -13 -14 -8 -1 -3 15 6 -14 19 -1 -16 -20 -14 -16 12 18 20 17 -19 17 -6 16 13 15 -8 18 16 10 17 20 0 0 -13 -19 -19 15 -14 -14 -11 -16 17 17 18 0 2 -10 20 -5 -8 -16 0 3 12 -19 0 -3 1 -14 -18 3 -12 -14 -15 20 1 17 20 -4 -20 6 20 20 -7 20 1 -9 -13 -4 2 17 -18 11 13 8 16 14 -12 16 -11 12 -20 0 ...
output:
3 4 4 4 3 4 4 4 3 4 4 4 3 4 3 4 3 4 3 3 4 4 3 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 3 3 3 4 3 3 4 4 4 3 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 3 4 3 3 4 3 3 4 3 4 4 3 3 3 4 4 3 3 4 3 3 3 3 3 4 3
result:
ok 100 numbers
Test #7:
score: 0
Accepted
time: 0ms
memory: 4248kb
input:
100 -16 0 17 16 16 16 -12 -16 14 12 19 -13 -20 -16 -8 -14 20 14 -6 -20 6 -19 12 18 -2 7 20 -19 3 -20 19 -5 12 -16 -12 -9 -11 0 19 4 11 -20 12 14 -14 -19 16 1 -12 -1 -8 -14 11 -15 2 9 -11 18 4 20 -14 3 -16 -20 -4 11 -16 7 -10 -11 20 16 -19 -10 8 -20 0 13 -17 -8 20 -17 2 14 -2 -17 13 7 -8 -11 -8 -6 -2...
output:
4 3 3 4 4 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 3 4 3 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 4 4 4 3 4 4 4 3 4 3 4 4 4 4 4 4 3 3 3 4 3 4 4 4 3 4 4 3 3 4 3 4 3 4 4 3 4 3 4 3 4 3 4 3 3 4 3 4
result:
ok 100 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 3996kb
input:
1 1 -1 1 1 1 1 1 2 -1 1
output:
3
result:
ok 1 number(s): "3"
Test #9:
score: 0
Accepted
time: 1ms
memory: 4288kb
input:
100 20 19 -6 18 19 -19 -20 14 19 20 -1 19 -19 6 18 12 -20 19 18 19 4 0 -18 -19 10 -13 12 7 -8 11 -19 -18 -9 -19 -20 18 20 11 18 19 -19 19 8 18 -19 18 -19 -12 -19 20 11 12 9 -15 -2 -12 -12 -4 3 11 -19 9 -10 -18 3 -3 -19 4 20 11 -19 -20 10 -20 -19 17 20 -10 19 18 -17 -20 14 19 20 17 20 -6 -18 -19 9 -1...
output:
4 4 4 4 4 4 3 4 4 3 4 4 4 4 3 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 4 4 4 4 3 3 4 4 4 3 3 4 4 3 4 3 3 4 3 4 3 4 4 4 4 4 4 4 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4
result:
ok 100 numbers
Test #10:
score: 0
Accepted
time: 1ms
memory: 4240kb
input:
100 13 -13 12 5 12 12 20 14 -14 -8 18 -17 -5 -1 -17 -10 9 9 -10 18 13 -17 -1 19 -18 11 1 -2 -17 -18 16 19 -17 -8 6 -14 -1 16 -18 6 4 -14 18 -10 14 13 3 12 -1 -14 -20 1 -11 12 15 20 4 -20 -7 -17 8 -19 1 -9 -10 -19 8 -4 -17 18 6 -14 -12 -12 -5 -12 6 19 -18 -11 -16 -16 -10 15 16 12 18 -9 -17 16 -18 5 -...
output:
4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 3 4 4 4 4 4 3 4 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 3 4 3 4 4 3 4 4 4 4 4
result:
ok 100 numbers
Test #11:
score: 0
Accepted
time: 1ms
memory: 4208kb
input:
73 14 -7 7 1 10 -16 -4 11 1 10 -14 -13 -16 1 -8 -6 -12 -10 -2 16 -5 -10 -12 0 -13 15 -10 0 0 -2 19 20 19 17 -9 -14 -20 -15 -20 6 3 19 4 -16 -1 5 -13 11 -16 -1 -19 -20 -17 0 11 -19 -20 -10 2 -3 -9 -15 -18 1 -13 17 -13 -11 1 -13 10 -20 17 8 -1 15 20 1 16 -2 -20 -18 8 0 -11 12 -18 17 0 -10 -4 0 10 9 0 ...
output:
2 2 2 4 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2 4 2 2 2 2 2 2 4 3 4 2 2 2 2 2 4 3 2 2 2 4 2 2 2 2 2 4 2 2 3 2 2
result:
ok 73 numbers
Test #12:
score: -100
Wrong Answer
time: 1ms
memory: 4288kb
input:
100 -20 -20 10 -1 1 20 20 10 -1 6 15 -19 12 -17 20 -18 20 10 17 15 7 -19 0 -16 13 18 17 -10 11 15 17 13 9 -16 15 -6 -13 14 -13 -20 -19 2 13 -8 13 20 -13 -12 -19 -8 -20 20 4 -11 -11 20 -20 4 10 -10 -12 3 0 12 -17 -14 20 17 12 17 6 -19 7 -11 -20 14 8 -6 17 -13 -12 10 -2 19 20 15 -15 -9 -20 3 4 19 -19 ...
output:
4 3 4 3 3 4 4 3 3 4 4 4 3 3 3 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 3 4 4 3 3 4 3 3 3 3 4 3 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 3 4 3 4 3 4 4 4 4 4 4 3 4 4 3 4 3 3 4 4 3 4 3 3 4 4 4 3 4 4 3
result:
wrong answer 14th numbers differ - expected: '4', found: '3'