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Submission #470632

# Submission time Handle Problem Language Result Execution time Memory
470632 2021-09-04T16:09:06 Z zxcvbnm Mobile (BOI12_mobile) C++14
50 / 100
 493 ms 15948 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
struct P {
    ll x, y;
};
vector<P> a;
int n, L;
bool ok(double r) {
    double curr = 0;
    for(int i = 0; i < n; i++) {
        if (r * r < a[i].y * a[i].y) continue;
        double sol = sqrt(r * r - a[i].y * a[i].y);
        double left = max((double) 0, a[i].x - sol);
        double right = min((double) L, a[i].x + sol);
        if (left <= curr) {
            curr = max(curr, right);
        }
    }

    return curr >= L;
}
signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n >> L;
    a.resize(n);
    for(auto& i : a) {
        cin >> i.x >> i.y;
    }

    double l = 0, r = 1e9;
    double ans = r;
    for(int rep = 0; rep < 40; rep++) {
        double mid = (l + r) / 2;
        if (rep == 0) mid = 1;
        else if (r > 1) mid = sqrt((long double) l * r);

        if (ok(mid)) {
            r = mid;
            ans = mid;
        }
        else {
            l = mid;
        }
    }

    cout << fixed << setprecision(6) << ans << "\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 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 2 ms 332 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 1484 KB Output is correct
2 Correct 37 ms 1504 KB Output is correct
3 Correct 25 ms 1100 KB Output is correct
4 Correct 25 ms 1484 KB Output is correct
5 Correct 14 ms 1100 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 1484 KB Output is correct
2 Correct 25 ms 1356 KB Output is correct
3 Correct 25 ms 1484 KB Output is correct
4 Correct 25 ms 1484 KB Output is correct
5 Correct 29 ms 1612 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 1612 KB Output is correct
2 Correct 39 ms 1484 KB Output is correct
3 Correct 37 ms 1612 KB Output is correct
4 Correct 37 ms 1868 KB Output is correct
5 Correct 26 ms 1612 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 48 ms 1868 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 1868 KB Output is correct
2 Correct 48 ms 1868 KB Output is correct
3 Correct 40 ms 1868 KB Output is correct
4 Correct 40 ms 1868 KB Output is correct
5 Correct 30 ms 1868 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 217 ms 8136 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 251 ms 8140 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 260 ms 9676 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 302 ms 9676 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 308 ms 11212 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 341 ms 11212 KB Output is correct
2 Correct 363 ms 11212 KB Output is correct
3 Correct 288 ms 11212 KB Output is correct
4 Correct 240 ms 11212 KB Output is correct
5 Correct 220 ms 11212 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 345 ms 12812 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 402 ms 12748 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 429 ms 15948 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 493 ms 15948 KB Output isn't correct
2 Halted 0 ms 0 KB -