QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#606229 | #9227. Henry the Plumber | ucup-team3215 | WA | 1ms | 3672kb | C++23 | 2.3kb | 2024-10-02 23:35:26 | 2024-10-02 23:35:27 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
using vi = vector<int>;
using pii = array<int, 2>;
using ll = long long;
template <class T>
struct vec {
T x, y, z;
using v = vec<T>;
vec(T x = 0, T y = 0, T z = 0) : x(x), y(y), z(z) {}
T dot(v b) { return x * b.x + y * b.y + z * b.z; }
vec operator+(v b) { return v(x + b.x, y + b.y, z + b.z); }
vec operator-(v b) { return v(x - b.x, y - b.y, z - b.z); }
vec cross(v b) {
return v(y * b.z - z * b.y, -(x * b.z - z * b.x), x * b.y - y * b.x);
}
vec cross(v a, v b) { return (a - *this).cross(b - *this); }
bool isnull() { return x == 0 && y == 0 && z == 0; }
};
using vec3d = vec<ll>;
struct plane {
ll a, b, c, d;
bool onplane(vec3d v) { return v.x * a + v.y * b + v.z * c + d == 0; }
};
using fp = double;
pair<fp, fp> solve_sys2(fp a, fp b, fp e, fp c, fp d, fp f) {
return {(e * d - b * f) / (a * d - b * c),
(a * f - e * c) / (a * d - b * c)};
}
bool trysolve(fp a, fp b, fp c) {
fp d = b * b - 4 * a * c;
return d >= 0;
}
void solve() {
array<vec3d, 2> p, v;
array<plane, 2> pl;
for (int i : {0, 1}) {
cin >> p[i].x >> p[i].y >> p[i].z >> v[i].x >> v[i].y;
v[i].z = 0;
pl[i] = {v[i].x, v[i].y, 0, -(p[i].x * v[i].x + p[i].y * v[i].y)};
}
int ans = -1;
if (pl[0].onplane(p[1]) && pl[1].onplane(p[0])) {
ans = 2;
}
// else if (pl[0].onplane(p[1]) || pl[1].onplane(p[1])) {
// ans = 3 + (p[0].z == p[1].z);
// } else if (v[0].dot(v[1]) == 0) {
// ans = 3;
// }
else if (v[0].cross(v[1]).isnull()) {
ans = 4;
} else {
auto [x, y] =
solve_sys2(pl[0].a, pl[0].b, -pl[0].d, pl[1].a, pl[1].b, -pl[1].d);
// (p[0].z - z) * (p[1].z - z)
// p[0].z * p[1].z - z * (p[0].z + p[1].z) + z2
ans = trysolve(1, -(p[0].z + p[1].z),
(p[0].x - x) * (p[1].x - x) +
(p[0].y - y) * (p[1].y - y) + p[0].z * p[1].z)
? 3
: 4;
}
cout << ans << '\n';
}
int main() {
int t;
cin >> t;
while (t--) {
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3628kb
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: 3540kb
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: 3596kb
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: 3632kb
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: 3672kb
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: 1ms
memory: 3600kb
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: 1ms
memory: 3628kb
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: 3636kb
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: 3600kb
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: 3544kb
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: 3560kb
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: 3540kb
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:
3 3 4 3 3 3 4 3 3 4 3 3 3 3 3 4 3 4 4 4 3 3 3 4 3 4 3 3 4 4 3 3 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 3 3 3 4 3 4 4 3 3 4 4 3 4 3 3 4 3 3 4 3 3 3 3 4 3 3 4 4 4 3 4 3 3 4 3 3 3 3 3 4 3 4 3 3 4 4 4 3 4 4 3
result:
wrong answer 1st numbers differ - expected: '4', found: '3'