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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#162152#7110. Kuririn MIRACLEucup-team1198#WA 72ms8632kbC++201.9kb2023-09-03 05:11:542023-09-03 05:11:55

Judging History

你现在查看的是最新测评结果

  • [2023-09-03 05:11:55]
  • 评测
  • 测评结果:WA
  • 用时:72ms
  • 内存:8632kb
  • [2023-09-03 05:11:54]
  • 提交

answer

#include <bits/stdc++.h>

#pragma GCC optimize("fast-math")

using namespace std;
#define ll long long
#define pii pair<int, int>
#define ld long double
#define all(a) (a).begin(), (a).end()

const ld pi = atan2l(1, 0) * 2;
const int T = 100000;

ld presin[T];
ld precos[T];

ld pre3sin[T];


ld get_dphi(int phi, ld u, ld r) {
    return (- u * presin[phi] + sqrtl(u * u * pre3sin[phi])) / (2 * r);
}

ld rush(int phi, ld r, ld v, ld d, ld t) {
    d -= 2 * r + t * v;

    ld x = - 2 * r * precos[phi];
    ld y = 2 * r * presin[phi];

    ld x1 = d - x;
    ld y1 = y;

    ld l = sqrtl(x1 * x1 + y1 * y1);
    ld fac = 2 * v / l;

    x1 *= fac;
    y1 *= fac;

    x1 -= v;

    if (x1 * x > y * y1) {
        // cerr << l << '\n';
        return l / (2 * v);
    } else {
        return -1;
    }
}

void solve() {
    ld u, r, d;
    
    u = 2.0;
    r = 3;
    d = 30;

    cin >> u >> r >> d;

    ld cur_t = 0;
    for (int i = 0; i < T; ++i) {
        // cur phi = pi * i / T
        
        if (cur_t * u > (d - 2 * r)) {
            break;
        }

        if (i * 2 > T) {
            ld ost = rush(i, r, u, d, cur_t);
            if (ost >= 0) {
                // cerr << 
                cout << cur_t + ost << '\n';
                return;
            }    
        }

        ld dphi = get_dphi(i, u, r);  // at further point better
        cur_t += pi / T / dphi;

        // ld phi = pi * i / T;
        // cerr << phi / pi * 180 << '\n';
        // cerr << cur_t << '\n';
    }

    cout << (d - r) / u << '\n';
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);


    for (int i = 0; i < T; ++i) {
        presin[i] = sinl(pi * i / T);
        precos[i] = cosl(pi * i / T);
        pre3sin[i] = presin[i] * presin[i] + 3;
    }

    cout << fixed << setprecision(15);

    int t = 1000;
    cin >> t;
    while (t--) solve();


    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 8ms
memory: 8632kb

input:

1
2.00 3 30.0

output:

8.310573882869145

result:

ok found '8.3105739', expected '8.3105799', error '0.0000007'

Test #2:

score: -100
Wrong Answer
time: 72ms
memory: 8628kb

input:

100
8.66 6.05 71.59
8.44 8.67 82.55
4.23 9.68 24.74
6.63 9.95 7.45
1.2 7.27 97.55
2.08 2.94 31.61
8.48 5.56 20.16
7.35 5.55 52.48
1.35 8.15 51.23
3.88 9.02 72.37
7.03 1.97 57.03
1.78 4.44 93.44
5.5 6.11 52.94
1.09 9.64 69.01
1.01 3.54 16.78
1.63 4.55 44.06
5.82 5.51 5.92
5.62 2.93 76.01
4.75 4.43 73...

output:

4.457833284920671
5.488357898169741
3.560283687943262
-0.377073906485671
43.266444187377789
8.305483222446091
1.721698113207547
4.015484045888478
31.911111111111111
16.327319587628866
4.155121806942859
27.178946919344586
8.514545454545455
54.467889908256881
13.108910891089109
15.093985072203714
0.07...

result:

wrong answer 3rd numbers differ - expected: '5.8486998', found: '3.5602837', error = '0.3912692'