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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#162232#7110. Kuririn MIRACLEucup-team1198#WA 229ms97640kbC++202.1kb2023-09-03 06:53:022023-09-03 06:53:02

Judging History

你现在查看的是最新测评结果

  • [2023-09-03 06:53:02]
  • 评测
  • 测评结果:WA
  • 用时:229ms
  • 内存:97640kb
  • [2023-09-03 06:53:02]
  • 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 = 6000000;


ld get_dphi(ld phi, ld u, ld r) {
    ld sinp = sinl(phi);
    return (- u * sinp + sqrtl(u * u * (sinp * sinp + 3))) / (2 * r);
}

ld tphi[T + 2];

void precalc() {
    ld cur_t = 0;
    for (int i = 0; i < T; ++i) {
        ld phi = pi * i / T;
    
        ld dphi = get_dphi(phi, 1, 1);  // at further point better
        cur_t += pi / T / dphi;
        tphi[i + 1] = cur_t;
    }
}

ld get(ld phi, ld v, ld r) {
    ld prop = phi / pi * T;
    int i = floor(prop);

    return r / v * (tphi[i] * (1 - (prop - i)) + tphi[i + 1] * (prop - i));
}

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

    ld x = - 2 * r * cosl(phi);
    ld y = 2 * r * sinl(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 - 1e-7) {
        // 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;

    if (get(pi, u, r) * u <= d - 4 * r) {
        ld lp = pi / 2;
        ld rp = pi;

        for (int i = 0; i < 300; ++i) {
            ld mp = (lp + rp) / 2;

            ld t = get(mp, u, r);
            if (rush(mp, r, u, d, t) >= 0) {
                rp = mp;
            } else {
                lp = mp;
            }
        }

        ld t = get(rp, u, r);
        cout << t + rush(rp, r, u, d, t) << '\n';

    } else {
        cout << d / u << '\n';        
    }
}

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

    precalc();


    // 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: 221ms
memory: 97628kb

input:

1
2.00 3 30.0

output:

8.310579833053071

result:

ok found '8.3105798', expected '8.3105799', error '0.0000000'

Test #2:

score: -100
Wrong Answer
time: 229ms
memory: 97640kb

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:

4.457837058773628
5.488360760481143
5.848699763593381
1.123680241327300
43.266479455766437
8.305490022942589
2.377358490566038
4.015485937452041
37.948148148148148
18.652061855670103
4.155123612965618
27.178962738953046
9.625454545454545
63.311926605504587
16.613861386138614
15.093994304674969
1.017...

result:

wrong answer 39th numbers differ - expected: '5.3370511', found: '2.7511452', error = '0.4845196'