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Submission #1101163

# Submission time Handle Problem Language Result Execution time Memory
1101163 2024-10-15T17:12:03 Z BLOBVISGOD Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 49036 KB 
#include "bits/stdc++.h"
#pragma GCC optimize("Ofast")
using namespace std;
#define rep(i,a,b) for(int i=(a); i<(b); ++i)
#define all(x) x.begin(),x.end()
#define sz(x) int(x.size())
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<vi> vvi;

int main(){
    cin.tie(NULL),cin.sync_with_stdio(false);
    
    int n,l; cin >> n >> l;
    vector<array<ll,2>> a(n);
    rep(i,0,n) rep(j,0,2) cin >> a[i][j];
    rep(i,0,n) a[i][1] = a[i][1]*a[i][1];
    sort(all(a));

    double lo = 0, hi = 2e9;
    rep(iter,0,72){
        double mid = (lo+hi)/2, mid2 = mid*mid;
        vector<array<double,2>> segs;
        rep(i,0,n) if (a[i][1] < mid2){
            double d = sqrt(mid2 - a[i][1]);
            segs.push_back({a[i][0]-d,a[i][0]+d});
        }
        // sort(all(segs), [&](auto l, auto r){
        //     return l[1] < r[1];
        // });
        double r = 0;
        for(auto [L,R] : segs){
            if (L <= r) r = max(r,R);
        }
        if (r < l) lo = mid;
        else hi = mid;
    }
    cout << setprecision(15) << lo << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 592 KB Output is correct
2 Correct 7 ms 592 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 5 ms 592 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 736 KB Output is correct
2 Correct 12 ms 752 KB Output is correct
3 Correct 8 ms 736 KB Output is correct
4 Correct 4 ms 736 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 736 KB Output is correct
2 Correct 14 ms 748 KB Output is correct
3 Correct 8 ms 736 KB Output is correct
4 Correct 5 ms 736 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 752 KB Output is correct
2 Correct 13 ms 916 KB Output is correct
3 Correct 8 ms 736 KB Output is correct
4 Correct 4 ms 728 KB Output is correct
5 Correct 6 ms 736 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 4900 KB Output is correct
2 Correct 238 ms 5004 KB Output is correct
3 Correct 129 ms 3200 KB Output is correct
4 Correct 52 ms 5832 KB Output is correct
5 Correct 55 ms 3108 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 5776 KB Output is correct
2 Correct 78 ms 4740 KB Output is correct
3 Correct 77 ms 5064 KB Output is correct
4 Correct 61 ms 5008 KB Output is correct
5 Correct 60 ms 5224 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 298 ms 5340 KB Output is correct
2 Correct 268 ms 5148 KB Output is correct
3 Correct 136 ms 5168 KB Output is correct
4 Correct 39 ms 5568 KB Output is correct
5 Correct 101 ms 5236 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 5700 KB Output is correct
2 Correct 290 ms 5740 KB Output is correct
3 Correct 276 ms 5688 KB Output is correct
4 Correct 46 ms 5568 KB Output is correct
5 Correct 90 ms 5744 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 316 ms 5728 KB Output is correct
2 Correct 258 ms 6156 KB Output is correct
3 Correct 272 ms 5676 KB Output is correct
4 Correct 46 ms 5576 KB Output is correct
5 Correct 84 ms 5656 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1074 ms 24556 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 1066 ms 24364 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 1063 ms 36328 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 1059 ms 36164 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 1065 ms 38980 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 1042 ms 39700 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 1063 ms 42788 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 1064 ms 42780 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 1053 ms 49036 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 1056 ms 48708 KB Time limit exceeded
2 Halted 0 ms 0 KB -