Submission #698213

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
698213	2023-02-12T21:16:37 Z	randmac	Mobile (BOI12_mobile)	C++14	0 / 100	244 ms	31932 KB

mobile

#include <algorithm>
#include <iostream>
#include <cstdio>
#include <vector>
#include <set>
#include <queue>
#include <math.h>
#include <iomanip>

using namespace std;

// https://oj.uz/problem/view/BOI12_mobile

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

    // freopen("mobile.in", "r", stdin);
    // freopen("mobile.out", "w", stdout);

    int N, L;
    cin >> N >> L;

    vector<pair<int, int>> a(N);
    
    for (int i = 0; i < N; i++) {
        cin >> a[i].first >> a[i].second;
    }

    vector<pair<int, int>> b;
    int last_x = -1;
    for (auto it : a) {
        if (last_x != -1 && it.first == last_x) continue;
        b.push_back(it);
        last_x = it.first;
    }

    // double ans = -1;
    // for (int i = 0; i < b.size() - 1; i++) {
    //     int x_sum = b[i].first + b[i + 1].first;
    //     int x_diff = b[i + 1].first - b[i].first;

    //     double y_squared = (b[i + 1].second + b[i].second) * (b[i + 1].second - b[i].second);
    //     double x_0 = ( y_squared / x_diff + x_sum) / 2;
    //     double distance = (b[i].first - x_0) * (b[i].first - x_0) + b[i].second * b[i].second;
    //     ans = max(ans, distance);
    // }

    double low = 1, high = 1.5e9;
	while (high - low > 1e-3) {
		double mid = low + (high - low) / 2, curr = 0;
		for (int i = 0; i < N; i++) {
			double delta = sqrt(mid * mid - b[i].second * b[i].second);
			double left = b[i].first - delta, right = b[i].first + delta;
			if (left <= curr) curr = max(curr, right);
		}

		if (curr >= L) high = mid;
		else low = mid;
	}


    // cout << sqrt(ans) << setprecision(4) << endl;
    cout << fixed << setprecision(4) << low << endl;
}

Subtask #1
0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	212 KB	Output is correct
2	Correct	212 KB	Output is correct
3	Correct	212 KB	Output is correct
4	Incorrect	212 KB	Output isn't correct
5	Halted	0 KB	-

Subtask #2
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	0 ms	212 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #3
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	1 ms	340 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #4
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	2 ms	340 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #5
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	2 ms	340 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #6
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	340 KB	Output is correct
2	Correct	2 ms	468 KB	Output is correct
3	Correct	2 ms	404 KB	Output is correct
4	Incorrect	3 ms	460 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	30 ms	2068 KB	Output is correct
2	Runtime error	16 ms	3980 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	15 ms	1868 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	20 ms	2172 KB	Output is correct
2	Runtime error	18 ms	4016 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	19 ms	2968 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #11
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	2264 KB	Output is correct
2	Runtime error	19 ms	4296 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	123 ms	8440 KB	Output is correct
2	Runtime error	89 ms	16500 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	90 ms	8708 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	141 ms	13332 KB	Output is correct
2	Runtime error	115 ms	19456 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	106 ms	10208 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	167 ms	14120 KB	Output is correct
2	Runtime error	131 ms	22540 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	124 ms	11696 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	189 ms	14880 KB	Output is correct
2	Runtime error	148 ms	25756 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	143 ms	13300 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	244 ms	16456 KB	Output is correct
2	Runtime error	181 ms	31932 KB	Execution killed with signal 11
3	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	188 ms	16476 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Submission #698213

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