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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#84363#5505. Great ChaseblockcheWA 543ms3532kbC++201.2kb2023-03-06 12:10:182023-03-06 12:11:25

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.
  • [2023-03-06 12:11:25]
  • 评测
  • 测评结果:WA
  • 用时:543ms
  • 内存:3532kb
  • [2023-03-06 12:10:18]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;

void solve() {
    int n, w;
    cin >> n >> w;
    vector<pair<i64, i64>> a, b;
    for (int i = 0; i < n; i++) {
        i64 p, v;
        cin >> p >> v;
        if (p < 0) {
            a.emplace_back(p, v);
        } else {
            b.emplace_back(p, v);
        }
    }
    sort(a.begin(), a.end(), greater());
    sort(b.begin(), b.end());

    double lo = 0, hi = 3e12;
    for (int i = 0; i < 70; i++) {
        double mid = (lo + hi) / 2;

        double l = -1e18, r = 1e18;
        for (auto [p, v] : a) {
            l = max(l, mid * v + p);
        }
        for (auto [p, v] : b) {
            r = min(r, -mid * v + p);
        }

        if (l < r) {
            lo = mid;
        } else {
            hi = mid;
        }
    }

    double ans = lo * w;
    cout << ans << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    cout << setprecision(15) << fixed;

    int T;
    cin >> T;

    while (T--) {
        solve();
    }

    // double a = 2999999999999.999511718750000, b = 3000000000000;
    // double t = abs(a - b) / max(1.0, b);
    // cerr << t << '\n';

    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 2ms
memory: 3532kb

input:

3
4 9
10 2
-7 2
-6 1
7 1
2 8
-1 7
1 6
2 3
-1000000000000 1
1000000000000 1

output:

38.249999999626475
1.230769230021328
2999999999999.999511718750000

result:

ok 3 numbers

Test #2:

score: -100
Wrong Answer
time: 543ms
memory: 3508kb

input:

10000
200 997007
405524182320 754760
686939601648 419804
687047488212 715566
1446157132 4594
-670522037 4673
763634629282 253755
424307411732 275041
1582708381 8473
-667425982 4622
-522841486 1427
702430907988 460271
1405423646 1060
1497754648 6227
883363410675 723547
56899800372 46435
-810216390 64...

output:

145405766328.348022460937500
16414958969.727172851562500
5202715639.835094451904297
321977234.154489994049072
45384199210.220291137695312
183885744.769206404685974
1708925225.229010105133057
89786664971.557067871093750
13924365606.286529541015625
412975327.555292487144470
965508404.511069893836975
4...

result:

wrong answer 4566th numbers differ - expected: '1.0000010', found: '0.9986518', error = '0.0013492'