Submission #470627

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
470627	2021-09-04T16:00:47 Z	zxcvbnm	Mobile (BOI12_mobile)	C++14	55 / 100	1000 ms	31612 KB

mobile

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
struct P {
    ld x, y;
};
vector<P> a;
int n, L;
bool ok(ld r) {
    ld curr = 0;
    for(int i = 0; i < n; i++) {
        if (r * r < a[i].y * a[i].y) continue;
        ld sol = sqrt(r * r - a[i].y * a[i].y);
        ld left = max((ld) 0, a[i].x - sol);
        ld right = min((ld) L, a[i].x + sol);
        if (left <= curr) {
            curr = max(curr, right);
        }
    }

    return curr >= L;
}
signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n >> L;
    a.resize(n);
    for(auto& i : a) {
        cin >> i.x >> i.y;
    }

    ld l = 0.000000000000001, r = 1e9;
    ld ans = r;
    for(int rep = 0; rep < 40; rep++) {
        ld mid = sqrt(l * r);
//        ld mid = (l + r) / 2;
//        cout << mid << "\n";
        if (ok(mid)) {
            r = mid;
            ans = mid;
        }
        else {
            l = mid;
        }
    }

    cout << fixed << setprecision(6) << ans << "\n";
}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	204 KB	Output is correct
2	Correct	204 KB	Output is correct
3	Correct	204 KB	Output is correct
4	Correct	204 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	332 KB	Output is correct
2	Correct	3 ms	332 KB	Output is correct
3	Correct	2 ms	332 KB	Output is correct
4	Correct	3 ms	332 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	460 KB	Output is correct
2	Correct	6 ms	460 KB	Output is correct
3	Correct	6 ms	460 KB	Output is correct
4	Correct	4 ms	460 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	460 KB	Output is correct
2	Correct	7 ms	460 KB	Output is correct
3	Correct	6 ms	460 KB	Output is correct
4	Correct	4 ms	460 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	460 KB	Output is correct
2	Correct	7 ms	460 KB	Output is correct
3	Correct	5 ms	460 KB	Output is correct
4	Correct	5 ms	460 KB	Output is correct
5	Correct	4 ms	460 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	76 ms	2636 KB	Output is correct
2	Correct	91 ms	2636 KB	Output is correct
3	Correct	55 ms	1996 KB	Output is correct
4	Correct	59 ms	2636 KB	Output is correct
5	Correct	35 ms	1868 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	53 ms	2764 KB	Output is correct
2	Correct	50 ms	2508 KB	Output is correct
3	Correct	73 ms	2764 KB	Output is correct
4	Correct	63 ms	2764 KB	Output is correct
5	Correct	71 ms	3020 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	105 ms	3020 KB	Output is correct
2	Correct	99 ms	2892 KB	Output is correct
3	Correct	89 ms	2892 KB	Output is correct
4	Correct	93 ms	3404 KB	Output is correct
5	Correct	60 ms	3020 KB	Output is correct

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	120 ms	3404 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	122 ms	3404 KB	Output is correct
2	Correct	130 ms	3404 KB	Output is correct
3	Correct	99 ms	3404 KB	Output is correct
4	Correct	90 ms	3404 KB	Output is correct
5	Correct	74 ms	3404 KB	Output is correct

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	570 ms	15864 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	616 ms	15948 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	693 ms	19020 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	737 ms	19020 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	801 ms	22220 KB	Output is correct
2	Correct	840 ms	22220 KB	Output is correct
3	Correct	836 ms	22220 KB	Output is correct
4	Correct	604 ms	22220 KB	Output is correct
5	Correct	550 ms	22220 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	851 ms	22220 KB	Output is correct
2	Correct	735 ms	22164 KB	Output is correct
3	Correct	734 ms	22212 KB	Output is correct
4	Correct	605 ms	22220 KB	Output is correct
5	Correct	547 ms	22144 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	909 ms	25292 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	992 ms	25292 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1088 ms	31564 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	1091 ms	31612 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Submission #470627

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