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Submission #1057607

# Submission time Handle Problem Language Result Execution time Memory
1057607 2024-08-14T00:06:13 Z lucascgar Mobile (BOI12_mobile) C++17
40 / 100
 1000 ms 8064 KB 
#include <bits/stdc++.h>

// #pragma GCC optimize("Ofast,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

using namespace std;

/*
chutar resposta x:
p toda torre achar achar menor e maior ponto com distância menor que x
se intervalo tem algum ponto cego: x é válido
se não, nn é

achar pontos p torre: busca binária

*/

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); // overclock random

typedef pair<int,int> pii;
typedef pair<long long, long long> pll;
typedef pair<long double, long double> pdd;

const int MAXN = 1e6+10;
const double PRECISION = 1e-5;

long double dist(pdd a, pdd b){
    long double x = abs(a.first-b.first), y = abs(a.second-b.second);
    return x*x + y*y;
}

pii p[MAXN];
int l;

long double right(int t, long double d){
    long double sq = d*d;
    if (p[t].first > l) return l * (dist(p[t], {l,0}) <= sq);

    long double in=max(0, p[t].first), fi = l, me;

    if (dist({in,0}, p[t]) > sq) return -1;
    if (dist({l, 0}, p[t]) <= sq) return l;

    for (int q=0;q<100;q++){
        me = (in+fi)/2.00;

        if (dist({me, 0}, p[t]) <= sq){
            in = me;
        }else fi = me;

    }
    return in;

}

signed main(){
    std::ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    // freopen("test.in", "r", stdin);
    // freopen("test.out", "w", stdout);
    cout << fixed << setprecision(6);

    int n;
    cin >> n >> l;

    for (int i=0;i<n;i++){
        cin >> p[i].first >> p[i].second;
    }

    long double in=0, fi = 2e9, me;

    for (int q=0;q<100;q++){
        me = (in+fi)/2.00;

        long double r=0;
        bool vl = 1;
        for (int i=0;i<n;i++){
            if (dist(p[i], {r, 0}) <= me*me){
                vl=0;
                r = right(i, me);
            }
        }


        vl = vl || (l!=r);
        if (vl) in=me;
        else fi=me;

    }

    cout << in << '\n';

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 7 ms 460 KB Output is correct
4 Correct 5 ms 348 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 344 KB Output is correct
2 Correct 276 ms 464 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 112 ms 456 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 344 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 10 ms 432 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 8 ms 508 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 484 KB Output is correct
2 Correct 7 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 8 ms 344 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 705 ms 2648 KB Output is correct
2 Correct 60 ms 2652 KB Output is correct
3 Correct 233 ms 2652 KB Output is correct
4 Correct 43 ms 2648 KB Output is correct
5 Correct 43 ms 2652 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 2648 KB Output is correct
2 Correct 61 ms 2652 KB Output is correct
3 Correct 59 ms 2648 KB Output is correct
4 Correct 49 ms 2648 KB Output is correct
5 Correct 58 ms 2672 KB Output is correct

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1039 ms 2652 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 2652 KB Output is correct
2 Correct 74 ms 2648 KB Output is correct
3 Correct 74 ms 2652 KB Output is correct
4 Correct 68 ms 2648 KB Output is correct
5 Correct 60 ms 2648 KB Output is correct

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1070 ms 2652 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1063 ms 4700 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 351 ms 4692 KB Output is correct
2 Execution timed out 1076 ms 4692 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1058 ms 6740 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 436 ms 6784 KB Output is correct
2 Execution timed out 1063 ms 6740 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1067 ms 6740 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 306 ms 6736 KB Output is correct
2 Execution timed out 1014 ms 6736 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1028 ms 6744 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 569 ms 6736 KB Output is correct
2 Execution timed out 1032 ms 6740 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1063 ms 8064 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 409 ms 8060 KB Output is correct
2 Execution timed out 1018 ms 8020 KB Time limit exceeded
3 Halted 0 ms 0 KB -