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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#159107#7110. Kuririn MIRACLEucup-team1448#TL 23ms4292kbC++141.4kb2023-09-02 17:29:202023-09-02 17:29:21

Judging History

你现在查看的是最新测评结果

  • [2023-09-02 17:29:21]
  • 评测
  • 测评结果:TL
  • 用时:23ms
  • 内存:4292kb
  • [2023-09-02 17:29:20]
  • 提交

answer

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using db = double;
const db eps = 1e-8;
db f(db x) { return 1 / (-sin(x) + sqrt(sin(x) * sin(x) + 3)); }
db simp(db l, db r) { return (r - l) * (f(l) + 4 * f((l + r) / 2) + f(r)) / 6; }
db asr(db l, db r, db eps, db ans, db step) {
    db m = (l + r) / 2;
    db fl = simp(l, m), fr = simp(m, r);
    if (abs(fl + fr - ans) <= 15 * eps && step < 0)
        return fl + fr + (fl + fr - ans) / 15;
    return asr(l, m, eps / 2, fl, step - 1) + 
           asr(m, r, eps / 2, fr, step - 1);
}
db V, R, D, K;
db time(db x) { return asr(x, M_PI, eps, simp(x, M_PI), 12) * K; }
int main() {
    int T;
    scanf("%d", &T);
    while(T--) {
        scanf("%lf%lf%lf", &V, &R, &D);
        R *= 2, K = R / V;
        if (time(0.) * V + 2 * R > D) {
            printf("%.9f", D / V);
        } else {
            db l = 0, r = M_PI_2, m, t, s;
            while (r - l > eps) {
                m = (l + r) / 2;
                t = time(m) + R * tan(m) * f(m) / V;
                s = t * V + R * (1 + 1 / cos(m));
                (s > D ? r : l) = m;
//                printf("%f-%f-%f %f/%f ", l / M_PI * 180, m / M_PI * 180, r / M_PI * 180, s, t);
//                (s > D ? (puts("R"), r) : (puts("L"), l)) = m;
//                (t > 8.310579933902352 ? (puts("R"), r) : (puts("L"), l)) = m;
            }
            printf("%.9f", t);
        }
    }
}

Details

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Test #1:

score: 100
Accepted
time: 23ms
memory: 4292kb

input:

1
2.00 3 30.0

output:

8.310579941

result:

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

Test #2:

score: -100
Time Limit Exceeded

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:


result: