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Submission #819406

# Submission time Handle Problem Language Result Execution time Memory
819406 2023-08-10T10:34:39 Z MisterReaper Mobile (BOI12_mobile) C++17
100 / 100
 354 ms 35268 KB 
// author: MisterReaper (Ahmet Alp Orakci)
#include <bits/stdc++.h>
using namespace std;
#define int long long

#define ONLINE_JUDGE
#ifndef ONLINE_JUDGE
    #include "debug.h"
    #define OPEN freopen(".in", "r", stdin); freopen(".out", "w", stdout);
    #define TIME cerr << "\n" << fixed << setprecision(2) << 1000.0 * clock() / CLOCKS_PER_SEC << " milliseconds ";
#else
    #define debug(...) void(23)
    #define debugarr(...) void(23)
    #define OPEN void(0000)
    #define TIME void(232323233)
#endif

void solve()
{
    int n, m; cin >> n >> m;
    pair <int, int> arr[n];
    for(auto &[a, b] : arr) cin >> a >> b;

    auto check = [&](double mid) -> bool
    {
        double cur = 0;
        for(auto [a, b] : arr)
        {
            double delta = sqrt(mid * mid - b * b);
            if(a - delta <= cur) cur = max(cur, a + delta);
        }

        return m <= cur;
    };

    double l = 1, r = 1.5e9, res = 1;
    while(r - l >= 1e-3)
    {
        double mid = (l + r) / 2;
        if(check(mid))
        {
            r = mid;
            res = mid;
        }
        else l = mid;
    }

    cout << fixed << setprecision(6) << res;
    
    return;
}

int32_t main()
{
    OPEN;

    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

    int t = 1; //cin >> t;
    while(t--)
    {
        solve();
    }

    TIME;

    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 0 ms 316 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 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 276 KB Output is correct
3 Correct 1 ms 328 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 468 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 2 ms 456 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 468 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 2 ms 432 KB Output is correct
4 Correct 2 ms 456 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 24 ms 2256 KB Output is correct
2 Correct 19 ms 2520 KB Output is correct
3 Correct 13 ms 1740 KB Output is correct
4 Correct 25 ms 2624 KB Output is correct
5 Correct 13 ms 1364 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 2260 KB Output is correct
2 Correct 21 ms 2164 KB Output is correct
3 Correct 24 ms 2516 KB Output is correct
4 Correct 31 ms 2736 KB Output is correct
5 Correct 31 ms 3056 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 2260 KB Output is correct
2 Correct 20 ms 2740 KB Output is correct
3 Correct 24 ms 2508 KB Output is correct
4 Correct 34 ms 3772 KB Output is correct
5 Correct 25 ms 2516 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 3404 KB Output is correct
2 Correct 25 ms 3264 KB Output is correct
3 Correct 24 ms 2888 KB Output is correct
4 Correct 35 ms 3784 KB Output is correct
5 Correct 29 ms 3116 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 3372 KB Output is correct
2 Correct 26 ms 3264 KB Output is correct
3 Correct 25 ms 2888 KB Output is correct
4 Correct 35 ms 3772 KB Output is correct
5 Correct 30 ms 3028 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 12328 KB Output is correct
2 Correct 140 ms 15792 KB Output is correct
3 Correct 123 ms 15276 KB Output is correct
4 Correct 167 ms 17680 KB Output is correct
5 Correct 150 ms 14908 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 130 ms 16316 KB Output is correct
2 Correct 189 ms 14732 KB Output is correct
3 Correct 126 ms 13868 KB Output is correct
4 Correct 171 ms 17336 KB Output is correct
5 Correct 151 ms 15420 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 14808 KB Output is correct
2 Correct 154 ms 18888 KB Output is correct
3 Correct 145 ms 18384 KB Output is correct
4 Correct 220 ms 21448 KB Output is correct
5 Correct 181 ms 17668 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 180 ms 19544 KB Output is correct
2 Correct 217 ms 17612 KB Output is correct
3 Correct 148 ms 16520 KB Output is correct
4 Correct 214 ms 21320 KB Output is correct
5 Correct 185 ms 18404 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 17260 KB Output is correct
2 Correct 180 ms 22084 KB Output is correct
3 Correct 172 ms 21344 KB Output is correct
4 Correct 238 ms 24772 KB Output is correct
5 Correct 202 ms 20204 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 182 ms 22772 KB Output is correct
2 Correct 259 ms 20484 KB Output is correct
3 Correct 175 ms 19620 KB Output is correct
4 Correct 262 ms 24616 KB Output is correct
5 Correct 216 ms 21376 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 169 ms 19744 KB Output is correct
2 Correct 203 ms 25220 KB Output is correct
3 Correct 193 ms 24436 KB Output is correct
4 Correct 272 ms 28444 KB Output is correct
5 Correct 239 ms 23960 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 25996 KB Output is correct
2 Correct 281 ms 23376 KB Output is correct
3 Correct 199 ms 22332 KB Output is correct
4 Correct 280 ms 28160 KB Output is correct
5 Correct 247 ms 24268 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 225 ms 24632 KB Output is correct
2 Correct 255 ms 31424 KB Output is correct
3 Correct 246 ms 30400 KB Output is correct
4 Correct 353 ms 35132 KB Output is correct
5 Correct 319 ms 29396 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 274 ms 32448 KB Output is correct
2 Correct 354 ms 29116 KB Output is correct
3 Correct 267 ms 28240 KB Output is correct
4 Correct 348 ms 35268 KB Output is correct
5 Correct 318 ms 30684 KB Output is correct