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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#96486#5152. Circular Caramel CookieRoomGamadan#AC ✓25ms3780kbC++201.6kb2023-04-13 22:11:542023-04-13 22:11:55

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-13 22:11:55]
  • 评测
  • 测评结果:AC
  • 用时:25ms
  • 内存:3780kb
  • [2023-04-13 22:11:54]
  • 提交

answer

#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")

#include <bits/stdc++.h>
using namespace std;

#define el '\n'
#define F first
#define S second

typedef long long ll;
typedef long double ld;

bool multipleTestCases = 0, sublime = 0;
const int N = 1e5 + 5, INF = 1e9 + 5, mod = 1e9 + 7, LOG = 22, SQ = 500;

ll n;

bool out(pair<ll, ll> pt, ld r) {
    ld dist = pt.F * pt.F + pt.S * pt.S;
    dist = sqrt(dist);
    return (dist > r);
}

bool valid(ld m) {
    ll ret = 0;
    pair<ll, ll> cur = {0, int(m)}, nxt = {cur.F + 1, cur.S};
    while (cur.F < m) {
        while (out(nxt, m)) {
            nxt.S--;
            if (nxt.S < 0)
                break;
        }
        if (nxt.S < 0)
            break;

        ret += nxt.S;
        cur = nxt;
        nxt = {cur.F + 1, cur.S};

    }

    return (4 * ret > n);
}

void doWork() {
    cin >> n;

    ld s = 0, e = 1e5, m, ans = 1e5;

    for (int i = 0; i < 200; i++) {
        m = (s + e) / 2;

        if (valid(m)) {
            ans = m;
            e = m;
        }
        else {
            s = m;
        }
    }

    cout << fixed << setprecision(10) << (s + e) / 2;
}

signed main() {
#ifdef ONLINE_JUDGE
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#endif
#ifndef ONLINE_JUDGE
    if (sublime) {
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    }
#endif
    int tests = 1;
    if (multipleTestCases) {
        cin >> tests;
    }
    for (int tc = 1; tc <= tests; tc++) {
        doWork();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3776kb

input:

11

output:

2.2360679775

result:

ok found '2.2360680', expected '2.2360680', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

59

output:

5.0000000000

result:

ok found '5.0000000', expected '5.0000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

1

output:

1.4142135624

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

2

output:

1.4142135624

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #5:

score: 0
Accepted
time: 4ms
memory: 3644kb

input:

3

output:

1.4142135624

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #6:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

4

output:

2.2360679775

result:

ok found '2.2360680', expected '2.2360680', error '0.0000000'

Test #7:

score: 0
Accepted
time: 25ms
memory: 3712kb

input:

1000000000

output:

17841.8813189641

result:

ok found '17841.8813190', expected '17841.8813190', error '0.0000000'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

16

output:

3.1622776602

result:

ok found '3.1622777', expected '3.1622777', error '0.0000000'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

60

output:

5.0990195136

result:

ok found '5.0990195', expected '5.0990195', error '0.0000000'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

276

output:

10.0498756211

result:

ok found '10.0498756', expected '10.0498756', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

476

output:

13.0384048104

result:

ok found '13.0384048', expected '13.0384048', error '0.0000000'

Test #12:

score: 0
Accepted
time: 3ms
memory: 3632kb

input:

1860

output:

25.0199920064

result:

ok found '25.0199920', expected '25.0199920', error '0.0000000'

Test #13:

score: 0
Accepted
time: 3ms
memory: 3620kb

input:

2837456

output:

951.0084121605

result:

ok found '951.0084122', expected '951.0084122', error '0.0000000'

Test #14:

score: 0
Accepted
time: 25ms
memory: 3644kb

input:

871234652

output:

16653.6427246414

result:

ok found '16653.6427246', expected '16653.6427246', error '0.0000000'

Test #15:

score: 0
Accepted
time: 15ms
memory: 3680kb

input:

345230848

output:

10483.5002742405

result:

ok found '10483.5002742', expected '10483.5002742', error '0.0000000'

Test #16:

score: 0
Accepted
time: 15ms
memory: 3636kb

input:

506145784

output:

12693.5943688145

result:

ok found '12693.5943688', expected '12693.5943688', error '0.0000000'

Test #17:

score: 0
Accepted
time: 14ms
memory: 3748kb

input:

253745836

output:

8987.8400631075

result:

ok found '8987.8400631', expected '8987.8400631', error '0.0000000'

Test #18:

score: 0
Accepted
time: 21ms
memory: 3624kb

input:

659345872

output:

14487.7452006860

result:

ok found '14487.7452007', expected '14487.7452007', error '0.0000000'

Test #19:

score: 0
Accepted
time: 11ms
memory: 3636kb

input:

193830482

output:

7855.4483003836

result:

ok found '7855.4483004', expected '7855.4483004', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

981273

output:

559.5042448454

result:

ok found '559.5042448', expected '559.5042448', error '0.0000000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

8732419

output:

1667.8513123177

result:

ok found '1667.8513123', expected '1667.8513123', error '0.0000000'

Test #22:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

9812379

output:

1767.9423067510

result:

ok found '1767.9423068', expected '1767.9423068', error '0.0000000'

Test #23:

score: 0
Accepted
time: 8ms
memory: 3644kb

input:

98273476

output:

5593.6146631673

result:

ok found '5593.6146632', expected '5593.6146632', error '0.0000000'

Test #24:

score: 0
Accepted
time: 24ms
memory: 3652kb

input:

897972343

output:

16907.2445123385

result:

ok found '16907.2445123', expected '16907.2445123', error '0.0000000'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

28736734

output:

3025.0661149800

result:

ok found '3025.0661150', expected '3025.0661150', error '0.0000000'

Test #26:

score: 0
Accepted
time: 8ms
memory: 3632kb

input:

88234239

output:

5300.2388625420

result:

ok found '5300.2388625', expected '5300.2388625', error '0.0000000'

Test #27:

score: 0
Accepted
time: 21ms
memory: 3636kb

input:

928379434

output:

17191.1102899144

result:

ok found '17191.1102899', expected '17191.1102899', error '0.0000000'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

23765822

output:

2751.0732451173

result:

ok found '2751.0732451', expected '2751.0732451', error '0.0000000'

Test #29:

score: 0
Accepted
time: 3ms
memory: 3632kb

input:

3427481

output:

1045.1435308129

result:

ok found '1045.1435308', expected '1045.1435308', error '0.0000000'

Test #30:

score: 0
Accepted
time: 13ms
memory: 3636kb

input:

234987432

output:

8649.2663272673

result:

ok found '8649.2663273', expected '8649.2663273', error '0.0000000'

Test #31:

score: 0
Accepted
time: 4ms
memory: 3640kb

input:

3242949

output:

1016.6439888181

result:

ok found '1016.6439888', expected '1016.6439888', error '0.0000000'

Test #32:

score: 0
Accepted
time: 13ms
memory: 3636kb

input:

238423423

output:

8712.2688778527

result:

ok found '8712.2688779', expected '8712.2688779', error '0.0000000'

Test #33:

score: 0
Accepted
time: 5ms
memory: 3640kb

input:

23784378

output:

2752.1477067919

result:

ok found '2752.1477068', expected '2752.1477068', error '0.0000000'

Test #34:

score: 0
Accepted
time: 8ms
memory: 3624kb

input:

83246355

output:

5148.2704862895

result:

ok found '5148.2704863', expected '5148.2704863', error '0.0000000'