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Submission #465870

# Submission time Handle Problem Language Result Execution time Memory
465870 2021-08-17T03:46:53 Z joshualiu555 Mobile (BOI12_mobile) C++14
50 / 100
 1000 ms 48128 KB 
/*
  _____                                     _        _
 / ____|                                   | |      | |
| |  __ _ __ __ _ ___ ___ _   _ _ __   ___ | |_ __ _| |_ ___
| | |_ | '__/ _` / __/ __| | | | '_ \ / _ \| __/ _` | __/ _ \
| |__| | | | (_| \__ \__ \ |_| | |_) | (_) | || (_| | || (_) |
 \_____|_|  \__,_|___/___/\__, | .__/ \___/ \__\__,_|\__\___/
                           __/ | |
                          |___/|_|
*/

#include <fstream>
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <numeric>
#include <array>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <cmath>
#include <cstring>
#include <bitset>
#include <string>
#include <sstream>

using namespace std;

using ll = long long;
const int INF = 1e6 + 5;
const int MOD = 1e9 + 7;
const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, 1, -1};

int N, L;
pair<ll, ll> xy[INF];

bool check (double radius) {
    vector<pair<double, double>> seg;
    for (int i = 0; i < N; i++) {
        double horz = sqrt(radius * radius - xy[i].second * xy[i].second);
        double left = xy[i].first - horz, right = xy[i].first + horz;
        seg.push_back(make_pair(left, right));
    }
    double search = 0;
    for (int i = 0; i < N; i++) {
        if (seg[i].first <= search && search <= seg[i].second) {
            search = seg[i].second;
        }
    }
    return search >= L;
}

int main()
{
    std::ios_base::sync_with_stdio(false); cin.tie(0);

//    ifstream cin(".in");
//    ofstream cout(".out");

    cin >> N >> L;
    for (int i = 0; i < N; i++) cin >> xy[i].first >> xy[i].second;

    double l = 0, r = 1.5 * 1e9;
    for (int i = 0; i < 100; i++) {
        double m = (l + r) / 2;
        if (check(m)) {
            r = m;
        } else {
            l = m;
        }
    }

    cout << fixed << setprecision(6) << l << '\n';

    return 0;
}

/*
 *
*/

//

Subtask #1
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 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 324 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 5 ms 460 KB Output is correct
2 Correct 5 ms 460 KB Output is correct
3 Correct 4 ms 332 KB Output is correct
4 Correct 4 ms 460 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 604 KB Output is correct
2 Correct 12 ms 668 KB Output is correct
3 Correct 11 ms 652 KB Output is correct
4 Correct 12 ms 684 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 604 KB Output is correct
2 Correct 12 ms 668 KB Output is correct
3 Correct 12 ms 652 KB Output is correct
4 Correct 12 ms 684 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 620 KB Output is correct
2 Correct 11 ms 664 KB Output is correct
3 Correct 12 ms 604 KB Output is correct
4 Correct 12 ms 604 KB Output is correct
5 Correct 11 ms 652 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 254 ms 4924 KB Output is correct
2 Correct 230 ms 6112 KB Output is correct
3 Correct 140 ms 3752 KB Output is correct
4 Correct 228 ms 6020 KB Output is correct
5 Correct 130 ms 3384 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 224 ms 5152 KB Output is correct
2 Correct 221 ms 5508 KB Output is correct
3 Correct 242 ms 6032 KB Output is correct
4 Correct 238 ms 6180 KB Output is correct
5 Correct 263 ms 6588 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 250 ms 5224 KB Output is correct
2 Correct 241 ms 5232 KB Output is correct
3 Correct 246 ms 5232 KB Output is correct
4 Correct 284 ms 5756 KB Output is correct
5 Correct 274 ms 6232 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 270 ms 5612 KB Output is correct
2 Correct 287 ms 5704 KB Output is correct
3 Correct 265 ms 5572 KB Output is correct
4 Correct 290 ms 5628 KB Output is correct
5 Correct 283 ms 6908 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 290 ms 5536 KB Output is correct
2 Correct 285 ms 5656 KB Output is correct
3 Correct 271 ms 5624 KB Output is correct
4 Correct 281 ms 5684 KB Output is correct
5 Correct 274 ms 6852 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1096 ms 24264 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 1082 ms 24392 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 1085 ms 35724 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 1053 ms 35616 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 1084 ms 39068 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 1098 ms 38684 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 1091 ms 41844 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 1089 ms 41920 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 1093 ms 48128 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 48080 KB Time limit exceeded
2 Halted 0 ms 0 KB -