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Submission #920908

# Submission time Handle Problem Language Result Execution time Memory
920908 2024-02-03T07:33:18 Z Kams7 Mobile (BOI12_mobile) C++17
100 / 100
 806 ms 94548 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

double dist(double k, ll y){
    return sqrt(k*k - y*y);
}

bool check(ll n, double k, ll l, vector<pair<ll,ll>> v){
    double mn = 0;
    for (ll i=0; i<n; i++){
        ll x = v[i].first, y = v[i].second;
        double d = dist(k, y);
        if (d<=0) continue;
        if (x-d<=mn) mn = max(mn, x+d);
    }
    return mn>=l;
}

void solve(){
    ll n, len; cin >> n >> len;
    map<ll, ll> ys; 
    for (ll i=0; i<n; i++){
        ll x, y; cin >> x >> y;
        if (ys.find(x) == ys.end()) ys[x] = abs(y);
        else ys[x] = min(ys[x], abs(y));
    }
    vector<pair<ll, ll>> v;
    for (auto el: ys){
        v.push_back(make_pair(el.first, el.second));
    }
    sort(v.begin(), v.end());
    n = size(v);
    double l=0, r=1.5e9;
    while (r-l>1e-4){
        double mid = ((l+r)/2);
        if (check(n, mid, len, v)) r=mid;
        else l=mid;
    }
    cout << fixed << setprecision(4) << l;
}


int main() {
	std::ios::sync_with_stdio(false);
	std::cin.tie(NULL);
	// your code goes here
	// int t;
	// cin >> t;
	// while (t--) 
    solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 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 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 3 ms 860 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 5 ms 908 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 604 KB Output is correct
2 Correct 4 ms 852 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 4 ms 856 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 860 KB Output is correct
2 Correct 3 ms 860 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 3 ms 1112 KB Output is correct
5 Correct 1 ms 348 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 6916 KB Output is correct
2 Correct 42 ms 5828 KB Output is correct
3 Correct 41 ms 5628 KB Output is correct
4 Correct 49 ms 7484 KB Output is correct
5 Correct 7 ms 344 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 848 KB Output is correct
2 Correct 40 ms 3720 KB Output is correct
3 Correct 50 ms 6864 KB Output is correct
4 Correct 51 ms 7880 KB Output is correct
5 Correct 81 ms 8452 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 8644 KB Output is correct
2 Correct 45 ms 5576 KB Output is correct
3 Correct 44 ms 7356 KB Output is correct
4 Correct 94 ms 9784 KB Output is correct
5 Correct 33 ms 2104 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 4432 KB Output is correct
2 Correct 43 ms 4452 KB Output is correct
3 Correct 34 ms 2012 KB Output is correct
4 Correct 71 ms 9932 KB Output is correct
5 Correct 69 ms 8132 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 9720 KB Output is correct
2 Correct 42 ms 4552 KB Output is correct
3 Correct 31 ms 2016 KB Output is correct
4 Correct 65 ms 9924 KB Output is correct
5 Correct 84 ms 8132 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 366 ms 47356 KB Output is correct
2 Correct 133 ms 1364 KB Output is correct
3 Correct 177 ms 1364 KB Output is correct
4 Correct 373 ms 47380 KB Output is correct
5 Correct 317 ms 31216 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 138 ms 1276 KB Output is correct
2 Correct 433 ms 46956 KB Output is correct
3 Correct 204 ms 9636 KB Output is correct
4 Correct 384 ms 47316 KB Output is correct
5 Correct 378 ms 43192 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 393 ms 58112 KB Output is correct
2 Correct 156 ms 1016 KB Output is correct
3 Correct 153 ms 1112 KB Output is correct
4 Correct 447 ms 58220 KB Output is correct
5 Correct 325 ms 29528 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 158 ms 992 KB Output is correct
2 Correct 485 ms 57700 KB Output is correct
3 Correct 205 ms 6716 KB Output is correct
4 Correct 482 ms 58296 KB Output is correct
5 Correct 401 ms 50616 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 454 ms 66788 KB Output is correct
2 Correct 173 ms 852 KB Output is correct
3 Correct 170 ms 824 KB Output is correct
4 Correct 532 ms 66836 KB Output is correct
5 Correct 341 ms 27080 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 185 ms 848 KB Output is correct
2 Correct 569 ms 65972 KB Output is correct
3 Correct 274 ms 12316 KB Output is correct
4 Correct 569 ms 67584 KB Output is correct
5 Correct 480 ms 58200 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 543 ms 76448 KB Output is correct
2 Correct 208 ms 996 KB Output is correct
3 Correct 207 ms 872 KB Output is correct
4 Correct 641 ms 76768 KB Output is correct
5 Correct 516 ms 47556 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 205 ms 828 KB Output is correct
2 Correct 683 ms 74728 KB Output is correct
3 Correct 302 ms 11972 KB Output is correct
4 Correct 611 ms 75716 KB Output is correct
5 Correct 536 ms 64728 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 663 ms 94548 KB Output is correct
2 Correct 246 ms 888 KB Output is correct
3 Correct 225 ms 880 KB Output is correct
4 Correct 785 ms 94388 KB Output is correct
5 Correct 527 ms 41912 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 644 KB Output is correct
2 Correct 806 ms 92588 KB Output is correct
3 Correct 387 ms 15036 KB Output is correct
4 Correct 775 ms 94236 KB Output is correct
5 Correct 690 ms 80304 KB Output is correct