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Submission #481878

# Submission time Handle Problem Language Result Execution time Memory
481878 2021-10-22T05:05:43 Z sberens Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 16068 KB 
#pragma GCC optimize ("Ofast,fast-math,inline")
#pragma GCC target ("avx2")

#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

inline bool a_contains_b(array<ld, 2> a,  array<ld, 2> b) {
    return a[0] <= b[0] && b[1] <= a[1];
}

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 interval : intervals) {
            if (a_contains_b(interval, highway)) return true;
        }
        return false;

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

}

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 1 ms 204 KB Output is correct
3 Correct 1 ms 204 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 7 ms 332 KB Output is correct
2 Correct 11 ms 356 KB Output is correct
3 Correct 4 ms 332 KB Output is correct
4 Correct 9 ms 348 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 404 KB Output is correct
2 Correct 17 ms 332 KB Output is correct
3 Correct 15 ms 412 KB Output is correct
4 Correct 8 ms 332 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 332 KB Output is correct
2 Correct 18 ms 396 KB Output is correct
3 Correct 15 ms 408 KB Output is correct
4 Correct 7 ms 332 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 332 KB Output is correct
2 Correct 19 ms 404 KB Output is correct
3 Correct 14 ms 412 KB Output is correct
4 Correct 6 ms 404 KB Output is correct
5 Correct 10 ms 332 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 194 ms 1512 KB Output is correct
2 Correct 296 ms 1540 KB Output is correct
3 Correct 147 ms 1100 KB Output is correct
4 Correct 85 ms 1512 KB Output is correct
5 Correct 111 ms 1100 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 1484 KB Output is correct
2 Correct 108 ms 1356 KB Output is correct
3 Correct 109 ms 1604 KB Output is correct
4 Correct 88 ms 1552 KB Output is correct
5 Correct 85 ms 1688 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 283 ms 1712 KB Output is correct
2 Correct 276 ms 1612 KB Output is correct
3 Correct 234 ms 1776 KB Output is correct
4 Correct 66 ms 1884 KB Output is correct
5 Correct 153 ms 1724 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 339 ms 1884 KB Output is correct
2 Correct 325 ms 1884 KB Output is correct
3 Correct 276 ms 1884 KB Output is correct
4 Correct 80 ms 1884 KB Output is correct
5 Correct 136 ms 1888 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 327 ms 1888 KB Output is correct
2 Correct 326 ms 1884 KB Output is correct
3 Correct 270 ms 1904 KB Output is correct
4 Correct 67 ms 1868 KB Output is correct
5 Correct 140 ms 1908 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1096 ms 8140 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 1096 ms 8140 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 1096 ms 9676 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 1097 ms 9704 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 1099 ms 11268 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 1093 ms 11280 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 1098 ms 12832 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 1099 ms 12832 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 1091 ms 15964 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 1097 ms 16068 KB Time limit exceeded
2 Halted 0 ms 0 KB -