Submission #481869

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
481869	2021-10-22T04:44:57 Z	sberens	Mobile (BOI12_mobile)	C++17	12 / 100	1000 ms	16020 KB

mobile

#pragma GCC optimize ("O3,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
            if (!intervals.empty()) {
                auto & [s2, e2] = intervals.back();
                if (max(s1, s2) <= min(e1, e2)){
                    smin(s2, s1);
                    smax(e2, e1);
                } else {
                    intervals.pb({s1, e1});
                }
            } else {
                intervals.pb({s1, e1});
            }
        }
        // check interval spans whole highway
        for (auto [s, e] : intervals) {
            if (s <= 0 && l <= e) return true;
        }
        return false;

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

}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	204 KB	Output is correct
2	Correct	204 KB	Output is correct
3	Correct	204 KB	Output is correct
4	Correct	204 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 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
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	4 ms	332 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #4
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	4 ms	332 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

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	5 ms	332 KB	Output is correct
4	Correct	3 ms	332 KB	Output is correct

Subtask #6
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	6 ms	332 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	69 ms	1504 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	53 ms	1552 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	92 ms	1808 KB	Output is correct
2	Correct	92 ms	1616 KB	Output is correct
3	Correct	78 ms	1636 KB	Output is correct
4	Correct	56 ms	1872 KB	Output is correct
5	Incorrect	57 ms	1716 KB	Output isn't correct

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	113 ms	1896 KB	Output is correct
2	Correct	104 ms	1884 KB	Output is correct
3	Correct	89 ms	1900 KB	Output is correct
4	Incorrect	40 ms	1912 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #11
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	103 ms	1892 KB	Output is correct
2	Correct	103 ms	2000 KB	Output is correct
3	Correct	91 ms	1868 KB	Output is correct
4	Incorrect	52 ms	1884 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	499 ms	8264 KB	Output is correct
2	Correct	535 ms	8252 KB	Output is correct
3	Correct	513 ms	8260 KB	Output is correct
4	Incorrect	226 ms	8144 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	520 ms	8252 KB	Output is correct
2	Incorrect	487 ms	8548 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	597 ms	9708 KB	Output is correct
2	Correct	617 ms	9708 KB	Output is correct
3	Correct	616 ms	9828 KB	Output is correct
4	Incorrect	251 ms	9708 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	672 ms	9708 KB	Output is correct
2	Incorrect	565 ms	10076 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	702 ms	11280 KB	Output is correct
2	Correct	712 ms	11280 KB	Output is correct
3	Correct	724 ms	11280 KB	Output is correct
4	Incorrect	291 ms	11276 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	759 ms	11284 KB	Output is correct
2	Incorrect	650 ms	11656 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	793 ms	12836 KB	Output is correct
2	Correct	823 ms	12844 KB	Output is correct
3	Correct	828 ms	12840 KB	Output is correct
4	Incorrect	315 ms	12836 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	846 ms	12840 KB	Output is correct
2	Incorrect	734 ms	13096 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	999 ms	15976 KB	Output is correct
2	Execution timed out	1025 ms	16020 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1073 ms	15968 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Submission #481869

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