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Submission #781095

# Submission time Handle Problem Language Result Execution time Memory
781095 2023-07-12T17:38:33 Z uped Mobile (BOI12_mobile) C++14
100 / 100
 358 ms 15956 KB 
#include<bits/stdc++.h>

using namespace std;

using ll = long long;

void fastio() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
}

int main() {
    fastio();
    int n, len;
    cin >> n >> len;
    vector<pair<ll, ll>> v(n);
    for (int i = 0; i < n; ++i) {
        int a, b;
        cin >> a >> b;
        v[i] = {a, b};
    }
    double l = 0.0, r = 1e10;
    while (r - l > 1e-3) {
        double radius = (l + r) / 2.0;
        double mx = 0;
        for (int j = 0; j < n; ++j) {
            ll x = v[j].first;
            ll y = v[j].second;
            double a = sqrt( radius * radius - y * y);
            if (x - a <= mx) {
                mx = max(x + a, mx);
            }
        }
        if (mx >= len) {
            r = radius;
        } else {
            l = radius;
        }
    }
    cout << fixed << setprecision(4) << l;
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 396 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 1492 KB Output is correct
2 Correct 19 ms 1492 KB Output is correct
3 Correct 14 ms 1108 KB Output is correct
4 Correct 25 ms 1492 KB Output is correct
5 Correct 13 ms 1108 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 1492 KB Output is correct
2 Correct 21 ms 1364 KB Output is correct
3 Correct 31 ms 1512 KB Output is correct
4 Correct 25 ms 1492 KB Output is correct
5 Correct 29 ms 1620 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 1620 KB Output is correct
2 Correct 21 ms 1620 KB Output is correct
3 Correct 21 ms 1620 KB Output is correct
4 Correct 43 ms 1876 KB Output is correct
5 Correct 26 ms 1620 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 1876 KB Output is correct
2 Correct 25 ms 1876 KB Output is correct
3 Correct 24 ms 1876 KB Output is correct
4 Correct 35 ms 1792 KB Output is correct
5 Correct 30 ms 1876 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 1876 KB Output is correct
2 Correct 25 ms 1876 KB Output is correct
3 Correct 25 ms 1876 KB Output is correct
4 Correct 38 ms 1876 KB Output is correct
5 Correct 30 ms 1876 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 115 ms 8148 KB Output is correct
2 Correct 131 ms 8148 KB Output is correct
3 Correct 128 ms 8148 KB Output is correct
4 Correct 172 ms 8148 KB Output is correct
5 Correct 173 ms 8148 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 8148 KB Output is correct
2 Correct 200 ms 8064 KB Output is correct
3 Correct 122 ms 8148 KB Output is correct
4 Correct 176 ms 8148 KB Output is correct
5 Correct 155 ms 8148 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 130 ms 9684 KB Output is correct
2 Correct 150 ms 9684 KB Output is correct
3 Correct 153 ms 9684 KB Output is correct
4 Correct 209 ms 9684 KB Output is correct
5 Correct 182 ms 9684 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 158 ms 9684 KB Output is correct
2 Correct 235 ms 9684 KB Output is correct
3 Correct 144 ms 9684 KB Output is correct
4 Correct 206 ms 9684 KB Output is correct
5 Correct 197 ms 9684 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 155 ms 11220 KB Output is correct
2 Correct 175 ms 11220 KB Output is correct
3 Correct 174 ms 11220 KB Output is correct
4 Correct 242 ms 11220 KB Output is correct
5 Correct 210 ms 11220 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 177 ms 11220 KB Output is correct
2 Correct 265 ms 11220 KB Output is correct
3 Correct 176 ms 11220 KB Output is correct
4 Correct 243 ms 11220 KB Output is correct
5 Correct 259 ms 11344 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 175 ms 12796 KB Output is correct
2 Correct 201 ms 12756 KB Output is correct
3 Correct 213 ms 12756 KB Output is correct
4 Correct 276 ms 12756 KB Output is correct
5 Correct 269 ms 12756 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 201 ms 12756 KB Output is correct
2 Correct 290 ms 12756 KB Output is correct
3 Correct 196 ms 12756 KB Output is correct
4 Correct 277 ms 12756 KB Output is correct
5 Correct 260 ms 12756 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 216 ms 15956 KB Output is correct
2 Correct 252 ms 15956 KB Output is correct
3 Correct 245 ms 15896 KB Output is correct
4 Correct 348 ms 15956 KB Output is correct
5 Correct 308 ms 15956 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 253 ms 15956 KB Output is correct
2 Correct 358 ms 15956 KB Output is correct
3 Correct 248 ms 15956 KB Output is correct
4 Correct 352 ms 15956 KB Output is correct
5 Correct 310 ms 15956 KB Output is correct