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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#859256#9668. Isoball: 2D Versionshiyahahaya#TL 1ms3840kbC++203.9kb2025-01-17 16:48:252025-01-17 16:48:33

Judging History

你现在查看的是最新测评结果

  • [2025-01-17 16:48:33]
  • 评测
  • 测评结果:TL
  • 用时:1ms
  • 内存:3840kb
  • [2025-01-17 16:48:25]
  • 提交

answer

#include <iostream>
#include <math.h>
#include <numbers>

using namespace std;

long double PI = std::numbers::pi;

long double xo, yo, r, vx, vy, ix1, iy1, ix2, iy2;

struct place
{
    long double px;
    long double py;
};

long double trans(place O, place A)
{
    long double tana = (A.py - O.py) / (A.px - O.px);
    if (A.px >= 0 && A.py >= 0)
    {
        return atan(tana);
    }
    else if (A.px < 0 && A.py <= 0)
    {
        return PI + atan(tana);
    }
    else if (A.px <= 0 && A.py >= 0)
    {
        return PI + atan(tana);
    }
    else if (A.px >= 0 && A.py <= 0)
    {
        return 2 * PI + atan(tana);
    }
    return atan(tana);
}

int main()
{
    long int n;
    cin >> n;
    while (n--)
    {
        cin >> xo >> yo >> r >> vx >> vy >> ix1 >> iy1 >> ix2 >> iy2;
        swap(iy1, iy2);

        if (abs(ix1 - ix2) < 2 * r || abs(iy1 - iy2) < 2 * r)
        {
            cout << "No" << endl;
            continue;
        }

        long double L      = pow(vx * vx + vy * vy, 0.5);
        place       leftp  = {xo, yo};
        place       rightp = {xo + 3000000 * vx / L, yo + 3000000 * vy / L};

        long double t = trans(leftp, rightp) / PI;
        long double a = trans(leftp, {ix1 + r, iy1 - r}) / PI;
        long double b = trans(leftp, {ix1 + r, iy2 + r}) / PI;
        long double c = trans(leftp, {ix2 - r, iy1 - r}) / PI;
        long double d = trans(leftp, {ix2 - r, iy2 + r}) / PI;
        if (xo < ix1 + r)
        {
            if (yo > iy1 - r)
            {
                // cout << 1 << endl;
                if ((t >= 0 && t < b) || (t <= 2 && t > c))
                {
                    cout << "No" << endl;

                    continue;
                }
            }
            else if (yo < iy2 + r)
            {
                // cout << 2 << endl;
                if ((t > a && t <= 2) || (t < d && t >= 0))
                {
                    cout << "No" << endl;
                    continue;
                }
            }
            else
            {
                // cout << 3 << endl;
                if (t > a && t < b)
                {
                    cout << "No" << endl;
                    continue;
                }
            }
        }
        else if (xo > ix2 - r)
        {
            if (yo > iy1 - r)
            {
                // cout << 4 << endl;
                if ((t > d && t <= 2) || (t < a && t >= 0))
                {
                    cout << "No" << endl;
                    continue;
                }
            }
            else if (yo < iy2 + r)
            {
                // cout << 5 << endl;
                if ((t > b && t <= 2) || (t < c && t >= 0))
                {
                    cout << "No" << endl;
                    continue;
                }
            }
            else
            {
                // cout << 6 << endl;
                if ((t > d && t <= 2) || (t < c && t >= 0))
                {
                    cout << "No" << endl;
                    continue;
                }
            }
        }
        else
        {
            if (yo > iy1 - r)
            {
                // cout << 7 << endl;
                if ((t > c && t <= 2) || (t < a && t >= 0))
                {
                    cout << "No" << endl;
                    while(1);
                    continue;
                }
            }
            else if (yo < iy2 + r)
            {
                // cout << 8 << endl;
                if ((t > b && t <= 2) || (t < d && t >= 0))
                {
                    cout << "No" << endl;


                    continue;
                }
            } /*
             else
             {
                 //cout << 9 << endl;
             }*/
        }

        cout << "Yes" << endl;
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3840kb

input:

5
0 0 1 1 0
2 -2 6 2
0 0 1 1 0
2 0 6 2
0 0 1 1 1
1 1 3 3
0 0 1 -1 -1
1 1 3 3
0 0 1 -1 1
-5 -5 5 5

output:

Yes
No
Yes
No
Yes

result:

ok 5 lines

Test #2:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

2
0 0 1000000 1000000 1000000
-1000000 -1000000 1000000 1000000
1000000 1000000 1 -1000000 -1000000
-1000000 -1000000 -999999 -999999

output:

Yes
No

result:

ok 2 lines

Test #3:

score: -100
Time Limit Exceeded

input:

10000
10 -10 10 1 -2
-13 -8 6 -1
-7 -10 3 3 1
-3 -12 14 -9
-9 -2 4 4 -3
-11 7 -8 12
-3 1 8 -1 0
-11 1 19 13
-1 8 9 -3 2
11 -5 17 4
-2 -7 3 -3 5
-12 -14 10 1
0 3 6 -5 3
-11 2 2 16
4 9 6 5 -4
-8 -11 18 -1
0 0 8 4 -2
-10 -15 1 12
8 4 4 5 2
-17 3 8 7
-3 7 10 -4 0
1 0 10 20
-6 -10 5 -3 -1
-20 -20 15 7
5 ...

output:

No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
No
Yes
No
Yes
No
No
No
No
No
Yes
No
No
No
Yes
No
No
No

result: