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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#606229#9227. Henry the Plumberucup-team3215WA 1ms3672kbC++232.3kb2024-10-02 23:35:262024-10-02 23:35:27

Judging History

你现在查看的是最新测评结果

  • [2024-10-02 23:35:27]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3672kb
  • [2024-10-02 23:35:26]
  • 提交

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'