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Submission #995193

# Submission time Handle Problem Language Result Execution time Memory
995193 2024-06-08T15:31:26 Z VMaksimoski008 Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 48272 KB 
#include <bits/stdc++.h>

#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long

using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,bmi,bmi2,lzcnt,popcnt")

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<double, double>;

const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;

int32_t main() {
    ios_base::sync_with_stdio(false);
    cout.tie(0); cin.tie(0);

    int n, L;
    cin >> n >> L;

    vector<int> x(n), y(n);
    for(int i=0; i<n; i++) cin >> x[i] >> y[i];

    double l=1, r=2e9, ans=r;
    for(int it=0; it<50; it++) {
        double mid = (l + r) / 2.0;
        vector<pdd> seg;

        for(int i=0; i<n; i++) {
            if(abs(y[i]) >= mid) continue;
            double len = sqrt(mid * mid - y[i] * y[i]);
            double left = x[i] - len, right = x[i] + len;
            if( right >= 0 && left <= L ) seg.push_back({ max((double)0, x[i] - len), min((double)L, x[i] + len) });
        }

        if(seg.size() == 0) {
            l = mid;
            continue;
        }

        sort(seg.begin(), seg.end());
        bool ok = 1;

        double lp=seg[0].first, rp=seg[0].second;
        if(lp > 0) ok = 0;

        for(int i=1; i<seg.size(); i++) {
            if(seg[i].first > rp) ok = 0;
            rp = max(rp, seg[i].second);
        }

        if(ok && rp >= L) ans = min(ans, mid), r = mid;
        else l = mid;
    }

    cout << setprecision(8) << fixed << ans << '\n';
    return 0;
}

Compilation message

mobile.cpp: In function 'int32_t main()':
mobile.cpp:58:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<double, double> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |         for(int i=1; i<seg.size(); i++) {
      |                      ~^~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 604 KB Output is correct
2 Correct 3 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 344 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 748 KB Output is correct
2 Correct 6 ms 732 KB Output is correct
3 Correct 9 ms 748 KB Output is correct
4 Correct 3 ms 748 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 748 KB Output is correct
2 Correct 8 ms 748 KB Output is correct
3 Correct 12 ms 748 KB Output is correct
4 Correct 3 ms 744 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 748 KB Output is correct
2 Correct 8 ms 748 KB Output is correct
3 Correct 11 ms 732 KB Output is correct
4 Correct 3 ms 732 KB Output is correct
5 Correct 4 ms 748 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 4880 KB Output is correct
2 Correct 201 ms 5816 KB Output is correct
3 Correct 123 ms 3172 KB Output is correct
4 Correct 52 ms 4896 KB Output is correct
5 Correct 48 ms 3092 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 5044 KB Output is correct
2 Correct 61 ms 4784 KB Output is correct
3 Correct 77 ms 5036 KB Output is correct
4 Correct 51 ms 5040 KB Output is correct
5 Correct 46 ms 5952 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 5352 KB Output is correct
2 Correct 244 ms 5120 KB Output is correct
3 Correct 286 ms 5224 KB Output is correct
4 Correct 42 ms 5564 KB Output is correct
5 Correct 77 ms 5372 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 244 ms 5708 KB Output is correct
2 Correct 290 ms 5704 KB Output is correct
3 Correct 373 ms 5700 KB Output is correct
4 Correct 42 ms 5560 KB Output is correct
5 Correct 76 ms 5668 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 5648 KB Output is correct
2 Correct 290 ms 6192 KB Output is correct
3 Correct 390 ms 5720 KB Output is correct
4 Correct 48 ms 5548 KB Output is correct
5 Correct 78 ms 5668 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1024 ms 24332 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1064 ms 24328 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1052 ms 35680 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1025 ms 37552 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1069 ms 40332 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1058 ms 42556 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1053 ms 42444 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1054 ms 43352 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1022 ms 48272 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1016 ms 48192 KB Time limit exceeded
2 Halted 0 ms 0 KB -