Submission #1031424

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1031424	2024-07-22T20:24:04 Z	vjudge1	Mobile (BOI12_mobile)	C++17	100 / 100	431 ms	15964 KB

mobile

#include <bits/stdc++.h>

using namespace std;

using ll = long long;

#define int ll
#define vi vector<int>
#define ii pair<int,int>
#define x first
#define y second
#define fore(a, b, c) for(int a=b; a<c; ++a)
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define endl '\n'
#define dbg(x) cerr << #x << ": " << x << endl
#define raya cerr << "================" << endl;

double eps = 1e-4;

signed main(){

    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int n, len;
    cin >> n >> len;

    vector<ii> p(n);
    fore(i, 0, n){
        cin >> p[i].x >> p[i].y;
    }

    double low = 0, high = 1e9+5;

    while((high - low) > eps){
        double mid = low + (high - low) / 2;
        
        double mx = 0;

        fore(i, 0, n){
            double delta = (2*p[i].x)*(2*p[i].x)-4*(p[i].x*p[i].x+p[i].y*p[i].y-mid*mid);
            double a = (2*p[i].x - sqrt(delta)) / 2;
            double b = (2*p[i].x + sqrt(delta)) / 2;
            
            if(a <= mx){
                mx = max(mx, b);
            }
        }

        if(mx >= len){
            high = mid;
        } else {
            low = mid;
        }

    }

    cout << fixed << setprecision(6) << high;

}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	348 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct

Subtask #2
4.0 / 4.0

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

Subtask #3
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	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct

Subtask #4
4.0 / 4.0

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

Subtask #5
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

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

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	35 ms	1628 KB	Output is correct
2	Correct	20 ms	1628 KB	Output is correct
3	Correct	16 ms	1112 KB	Output is correct
4	Correct	34 ms	1624 KB	Output is correct
5	Correct	19 ms	1116 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1624 KB	Output is correct
2	Correct	35 ms	1372 KB	Output is correct
3	Correct	34 ms	1624 KB	Output is correct
4	Correct	35 ms	1628 KB	Output is correct
5	Correct	41 ms	1628 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	1624 KB	Output is correct
2	Correct	21 ms	1628 KB	Output is correct
3	Correct	26 ms	1628 KB	Output is correct
4	Correct	49 ms	1884 KB	Output is correct
5	Correct	34 ms	1628 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	34 ms	1884 KB	Output is correct
2	Correct	26 ms	1884 KB	Output is correct
3	Correct	28 ms	1884 KB	Output is correct
4	Correct	49 ms	1884 KB	Output is correct
5	Correct	40 ms	1880 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	29 ms	1880 KB	Output is correct
2	Correct	27 ms	1880 KB	Output is correct
3	Correct	29 ms	1884 KB	Output is correct
4	Correct	49 ms	1884 KB	Output is correct
5	Correct	42 ms	1880 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	118 ms	8280 KB	Output is correct
2	Correct	127 ms	8144 KB	Output is correct
3	Correct	120 ms	8280 KB	Output is correct
4	Correct	252 ms	8284 KB	Output is correct
5	Correct	204 ms	8284 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	130 ms	8280 KB	Output is correct
2	Correct	249 ms	8284 KB	Output is correct
3	Correct	137 ms	8280 KB	Output is correct
4	Correct	229 ms	8284 KB	Output is correct
5	Correct	201 ms	8212 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	138 ms	9816 KB	Output is correct
2	Correct	161 ms	9820 KB	Output is correct
3	Correct	161 ms	9820 KB	Output is correct
4	Correct	279 ms	9820 KB	Output is correct
5	Correct	256 ms	9820 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	147 ms	9820 KB	Output is correct
2	Correct	284 ms	9816 KB	Output is correct
3	Correct	175 ms	9820 KB	Output is correct
4	Correct	278 ms	9820 KB	Output is correct
5	Correct	245 ms	9820 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	170 ms	11352 KB	Output is correct
2	Correct	184 ms	11352 KB	Output is correct
3	Correct	168 ms	11356 KB	Output is correct
4	Correct	311 ms	11352 KB	Output is correct
5	Correct	277 ms	11356 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	179 ms	11356 KB	Output is correct
2	Correct	349 ms	11356 KB	Output is correct
3	Correct	188 ms	11352 KB	Output is correct
4	Correct	329 ms	11352 KB	Output is correct
5	Correct	287 ms	11356 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	188 ms	12888 KB	Output is correct
2	Correct	221 ms	12892 KB	Output is correct
3	Correct	216 ms	12892 KB	Output is correct
4	Correct	389 ms	12892 KB	Output is correct
5	Correct	318 ms	12892 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	212 ms	12888 KB	Output is correct
2	Correct	382 ms	12892 KB	Output is correct
3	Correct	243 ms	12888 KB	Output is correct
4	Correct	362 ms	12888 KB	Output is correct
5	Correct	307 ms	12888 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	242 ms	15960 KB	Output is correct
2	Correct	235 ms	15960 KB	Output is correct
3	Correct	263 ms	15964 KB	Output is correct
4	Correct	423 ms	15960 KB	Output is correct
5	Correct	420 ms	15960 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	239 ms	15964 KB	Output is correct
2	Correct	431 ms	15960 KB	Output is correct
3	Correct	283 ms	15960 KB	Output is correct
4	Correct	427 ms	15964 KB	Output is correct
5	Correct	375 ms	15964 KB	Output is correct

Submission #1031424

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