Submission #1093753

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1093753	2024-09-27T11:13:18 Z	michified	Mobile (BOI12_mobile)	C++17	100 / 100	867 ms	35156 KB

mobile

#include <bits/stdc++.h>
#define ll long long
#define ld double
#define lid id * 2 + 1
#define rid id * 2 + 2
using namespace std;

const ll mod = 1e9 + 7;

struct coord_t {
    ll x, y;
};

bool all(ld rad, ld l, vector<coord_t>& towers) {
    ld cur = 0, radsq = rad * rad;
    for (auto& t : towers) {
        if (t.y > rad) continue;
        ld horiz = sqrt(radsq - (t.y * t.y));
        if (t.x - horiz > cur) continue;
        cur = max(cur, t.x + horiz);
    }
    return cur >= l;
}

int main() {
    // ifstream cin("valleys.in");
    // ofstream cout("valleys.out");
    
    ld n, L, i;
    ll tx, ty;
    cin >> n >> L;
    vector<coord_t> towers(n);
    for (i = 0; i < n; i++) {
        cin >> tx >> ty;
        towers[i] = {tx, ty};
    }
    ld l = 1, r = 1.5e9, tol = 0.001;
    while (l < r - tol) {
        ld mid = (l + r) / 2;
        if (not all(mid, L, towers)) l = mid;
        else r = mid;
    }
    cout << fixed << setprecision(4) << l;
    return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	348 KB	Output is correct
2	Correct	352 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	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	0 ms	352 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	2 ms	348 KB	Output is correct
2	Correct	1 ms	448 KB	Output is correct
3	Correct	1 ms	448 KB	Output is correct
4	Correct	2 ms	356 KB	Output is correct

Subtask #4
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	564 KB	Output is correct
2	Correct	3 ms	348 KB	Output is correct
3	Correct	3 ms	348 KB	Output is correct
4	Correct	3 ms	448 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	36 ms	2396 KB	Output is correct
2	Correct	39 ms	2652 KB	Output is correct
3	Correct	23 ms	1884 KB	Output is correct
4	Correct	56 ms	2760 KB	Output is correct
5	Correct	19 ms	1372 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	34 ms	2392 KB	Output is correct
2	Correct	42 ms	2140 KB	Output is correct
3	Correct	52 ms	2644 KB	Output is correct
4	Correct	58 ms	2652 KB	Output is correct
5	Correct	70 ms	3168 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	32 ms	2392 KB	Output is correct
2	Correct	45 ms	2868 KB	Output is correct
3	Correct	36 ms	2652 KB	Output is correct
4	Correct	84 ms	3676 KB	Output is correct
5	Correct	46 ms	2648 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	52 ms	3408 KB	Output is correct
2	Correct	51 ms	3156 KB	Output is correct
3	Correct	45 ms	2908 KB	Output is correct
4	Correct	85 ms	3904 KB	Output is correct
5	Correct	71 ms	3136 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	54 ms	3412 KB	Output is correct
2	Correct	52 ms	3152 KB	Output is correct
3	Correct	43 ms	2896 KB	Output is correct
4	Correct	86 ms	3920 KB	Output is correct
5	Correct	64 ms	3256 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	193 ms	12116 KB	Output is correct
2	Correct	275 ms	15184 KB	Output is correct
3	Correct	265 ms	15440 KB	Output is correct
4	Correct	437 ms	17596 KB	Output is correct
5	Correct	351 ms	15064 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	282 ms	15904 KB	Output is correct
2	Correct	295 ms	14344 KB	Output is correct
3	Correct	212 ms	13392 KB	Output is correct
4	Correct	425 ms	16780 KB	Output is correct
5	Correct	352 ms	14924 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	227 ms	14920 KB	Output is correct
2	Correct	321 ms	18368 KB	Output is correct
3	Correct	336 ms	18372 KB	Output is correct
4	Correct	526 ms	21444 KB	Output is correct
5	Correct	408 ms	17740 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	338 ms	18768 KB	Output is correct
2	Correct	339 ms	17484 KB	Output is correct
3	Correct	261 ms	16600 KB	Output is correct
4	Correct	513 ms	21444 KB	Output is correct
5	Correct	436 ms	18508 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	273 ms	16980 KB	Output is correct
2	Correct	382 ms	21328 KB	Output is correct
3	Correct	351 ms	21332 KB	Output is correct
4	Correct	601 ms	24660 KB	Output is correct
5	Correct	448 ms	20324 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	387 ms	21844 KB	Output is correct
2	Correct	403 ms	20060 KB	Output is correct
3	Correct	301 ms	19028 KB	Output is correct
4	Correct	596 ms	23664 KB	Output is correct
5	Correct	488 ms	20560 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	299 ms	19540 KB	Output is correct
2	Correct	419 ms	24148 KB	Output is correct
3	Correct	403 ms	24404 KB	Output is correct
4	Correct	687 ms	28416 KB	Output is correct
5	Correct	539 ms	24072 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	454 ms	24912 KB	Output is correct
2	Correct	447 ms	22612 KB	Output is correct
3	Correct	348 ms	21840 KB	Output is correct
4	Correct	696 ms	27008 KB	Output is correct
5	Correct	571 ms	23632 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	419 ms	24020 KB	Output is correct
2	Correct	532 ms	30032 KB	Output is correct
3	Correct	532 ms	30520 KB	Output is correct
4	Correct	846 ms	35156 KB	Output is correct
5	Correct	667 ms	29524 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	556 ms	28872 KB	Output is correct
2	Correct	555 ms	26200 KB	Output is correct
3	Correct	461 ms	25548 KB	Output is correct
4	Correct	867 ms	30800 KB	Output is correct
5	Correct	754 ms	30656 KB	Output is correct

Submission #1093753

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