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Submission #481881

# Submission time Handle Problem Language Result Execution time Memory
481881 2021-10-22T05:08:22 Z sberens Mobile (BOI12_mobile) C++17
90 / 100
 1000 ms 16068 KB 
//#pragma GCC optimize ("Ofast,fast-math,inline")

#include <bits/stdc++.h>

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename K> using hset = gp_hash_table<K, null_type>;
template <typename K, typename V> using hmap = gp_hash_table<K, V>;


using namespace std;

#define all(x) (x).begin(), (x).end()
#define pb push_back
#define eb emplace_back
#define smax(x, y) (x = max(x, y))
#define smin(x, y) (x = min(x, y))

using ld = long double;
using ll = long long;

template <typename T>
using vv = vector<vector<T>>;

using vi = vector<int>;
using ii = array<int, 2>;
using vii = vector<ii>;
using vvi = vv<int>;

using vll = vector<ll>;
using l2 = array<int, 2>;
using vl2 = vector<l2>;
using vvll = vv<ll>;

template <typename T>
using minq = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
using maxq = priority_queue<T>;

const ll M = 1000000007;

#ifndef REFERENCE_DISCRETE_BINARY_SEARCH_H
#define REFERENCE_DISCRETE_BINARY_SEARCH_H


#include <iostream>
#include <functional>


template<typename IN>
IN discrete_binary_search(function<bool(IN)> predicate, IN low = 0, IN high = numeric_limits<IN>::max()) {
    while (fabs(high - low) > 1e-4) {
        IN middle = low + (high - low) / 2; // todo std::midpoint in cpp 2020
        if (predicate(middle))
            high = middle;
        else low = middle;
    }
    return low;
}

#endif //REFERENCE_DISCRETE_BINARY_SEARCH_H

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n, l;
    cin >> n >> l;
    vll x(n), y(n);
    for (int i = 0; i < n; ++i) {
        cin >> x[i] >> y[i];
    }

    cout << fixed << setprecision(4) <<  discrete_binary_search<ld>([&](ld d) -> bool {
        // is there a point with min distance > d
        // equivalently, is every point within distance d

        vector<array<ld, 2>> intervals;
        intervals.reserve(n);
        // add to intervals
        for (int i = 0; i < n; ++i) {
            if (abs(y[i]) > d) continue;
            ld dx = sqrt(d * d - y[i] * y[i]);
            // get rid of nested intervals
            ld s1 = x[i] - dx, e1 = x[i] + dx;
            // can merge in place
            while (!intervals.empty()) {
                auto & [s2, e2] = intervals.back();
                if (max(s1, s2) <= min(e1, e2)) {
                    smin(s1, s2);
                    smax(e1, e2);
                    intervals.pop_back();
                } else break;
            }
            intervals.pb({s1, e1});
        }

        // check interval spans whole highway
        array<ld, 2> highway{0, (ld) l};
        for (auto [s, e] : intervals) {
            if (s <= 0 && l <= e) return true;
        }
        return false;

    }, 0, sqrt(1e18 + 4 * 1e18 + 1e10)) << '\n';

}

Compilation message

mobile.cpp: In lambda function:
mobile.cpp:99:22: warning: unused variable 'highway' [-Wunused-variable]
   99 |         array<ld, 2> highway{0, (ld) l};
      |                      ^~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 216 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 4 ms 332 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 3 ms 332 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 332 KB Output is correct
2 Correct 7 ms 332 KB Output is correct
3 Correct 5 ms 412 KB Output is correct
4 Correct 3 ms 332 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 332 KB Output is correct
2 Correct 6 ms 332 KB Output is correct
3 Correct 6 ms 332 KB Output is correct
4 Correct 3 ms 332 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 332 KB Output is correct
2 Correct 6 ms 408 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 4 ms 332 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 1524 KB Output is correct
2 Correct 90 ms 1636 KB Output is correct
3 Correct 51 ms 1100 KB Output is correct
4 Correct 40 ms 1484 KB Output is correct
5 Correct 36 ms 1100 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 1556 KB Output is correct
2 Correct 47 ms 1356 KB Output is correct
3 Correct 59 ms 1608 KB Output is correct
4 Correct 45 ms 1484 KB Output is correct
5 Correct 41 ms 1680 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 1684 KB Output is correct
2 Correct 113 ms 1612 KB Output is correct
3 Correct 84 ms 1652 KB Output is correct
4 Correct 45 ms 1880 KB Output is correct
5 Correct 60 ms 1612 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 1868 KB Output is correct
2 Correct 113 ms 1896 KB Output is correct
3 Correct 100 ms 1892 KB Output is correct
4 Correct 49 ms 1892 KB Output is correct
5 Correct 60 ms 1904 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 1896 KB Output is correct
2 Correct 114 ms 1888 KB Output is correct
3 Correct 99 ms 1892 KB Output is correct
4 Correct 42 ms 1892 KB Output is correct
5 Correct 60 ms 1992 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 548 ms 8140 KB Output is correct
2 Correct 566 ms 8252 KB Output is correct
3 Correct 564 ms 8264 KB Output is correct
4 Correct 200 ms 8140 KB Output is correct
5 Correct 273 ms 8140 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 574 ms 8272 KB Output is correct
2 Correct 517 ms 8636 KB Output is correct
3 Correct 454 ms 8144 KB Output is correct
4 Correct 207 ms 8264 KB Output is correct
5 Correct 255 ms 8140 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 654 ms 9708 KB Output is correct
2 Correct 671 ms 9704 KB Output is correct
3 Correct 666 ms 9700 KB Output is correct
4 Correct 244 ms 9828 KB Output is correct
5 Correct 329 ms 9712 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 682 ms 9700 KB Output is correct
2 Correct 591 ms 10092 KB Output is correct
3 Correct 560 ms 9704 KB Output is correct
4 Correct 247 ms 9820 KB Output is correct
5 Correct 308 ms 9676 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 762 ms 11272 KB Output is correct
2 Correct 792 ms 11276 KB Output is correct
3 Correct 780 ms 11404 KB Output is correct
4 Correct 286 ms 11236 KB Output is correct
5 Correct 406 ms 11272 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 790 ms 11264 KB Output is correct
2 Correct 653 ms 11536 KB Output is correct
3 Correct 663 ms 11324 KB Output is correct
4 Correct 283 ms 11212 KB Output is correct
5 Correct 359 ms 11332 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 864 ms 12864 KB Output is correct
2 Correct 902 ms 12844 KB Output is correct
3 Correct 881 ms 12860 KB Output is correct
4 Correct 321 ms 12836 KB Output is correct
5 Correct 433 ms 12880 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 906 ms 12960 KB Output is correct
2 Correct 745 ms 12964 KB Output is correct
3 Correct 772 ms 12840 KB Output is correct
4 Correct 323 ms 12844 KB Output is correct
5 Correct 411 ms 12964 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1082 ms 16068 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 1090 ms 15948 KB Time limit exceeded
2 Halted 0 ms 0 KB -