Submission #991329

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
991329	2024-06-02T03:39:47 Z	BF001	Mobile (BOI12_mobile)	C++17	100 / 100	355 ms	35412 KB

mobile

#include <bits/stdc++.h>
using namespace std;

#define N 1000005
#define ld double

int n, len;
long long x[N], y[N];

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    
    cin >> n >> len;
    for (int i = 1; i <= n; i++) cin >> x[i] >> y[i];

    ld l = 1, r = 1.5e9;
    while (r - l > 1e-3){
    	ld mid = (l + r) / 2.0;
    	ld cur = 0;
    	for (int i = 1; i <= n; i++){
    		ld denta = sqrt(mid * mid - y[i] * y[i]);
    		ld a = x[i] - denta;
    		ld b = x[i] + denta;
    		if (a <= cur) cur = max(cur, b);
    	}
    	if (cur >= len) r = mid;
    	else l = mid;
    }

    cout << fixed << setprecision(4) << l;
    
    return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	1 ms	2396 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2392 KB	Output is correct
2	Correct	1 ms	2392 KB	Output is correct
3	Correct	0 ms	2396 KB	Output is correct
4	Correct	0 ms	2392 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2392 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	1 ms	2396 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	2 ms	2396 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	2396 KB	Output is correct
2	Correct	2 ms	2392 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	2 ms	2396 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	2396 KB	Output is correct
2	Correct	2 ms	2532 KB	Output is correct
3	Correct	1 ms	2532 KB	Output is correct
4	Correct	2 ms	2396 KB	Output is correct
5	Correct	2 ms	2392 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	6748 KB	Output is correct
2	Correct	18 ms	6800 KB	Output is correct
3	Correct	16 ms	5468 KB	Output is correct
4	Correct	23 ms	7800 KB	Output is correct
5	Correct	12 ms	5136 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	19 ms	6748 KB	Output is correct
2	Correct	19 ms	4700 KB	Output is correct
3	Correct	22 ms	6744 KB	Output is correct
4	Correct	24 ms	7772 KB	Output is correct
5	Correct	32 ms	8024 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	6756 KB	Output is correct
2	Correct	19 ms	6748 KB	Output is correct
3	Correct	20 ms	7516 KB	Output is correct
4	Correct	34 ms	8568 KB	Output is correct
5	Correct	24 ms	7512 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	6748 KB	Output is correct
2	Correct	23 ms	6748 KB	Output is correct
3	Correct	22 ms	7772 KB	Output is correct
4	Correct	32 ms	8540 KB	Output is correct
5	Correct	35 ms	8028 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	6796 KB	Output is correct
2	Correct	23 ms	6748 KB	Output is correct
3	Correct	22 ms	7832 KB	Output is correct
4	Correct	34 ms	8704 KB	Output is correct
5	Correct	28 ms	8072 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	102 ms	10892 KB	Output is correct
2	Correct	115 ms	10836 KB	Output is correct
3	Correct	120 ms	18004 KB	Output is correct
4	Correct	158 ms	20304 KB	Output is correct
5	Correct	140 ms	17532 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	116 ms	10872 KB	Output is correct
2	Correct	198 ms	17532 KB	Output is correct
3	Correct	112 ms	16468 KB	Output is correct
4	Correct	153 ms	20048 KB	Output is correct
5	Correct	152 ms	18000 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	121 ms	14932 KB	Output is correct
2	Correct	142 ms	14980 KB	Output is correct
3	Correct	138 ms	23680 KB	Output is correct
4	Correct	191 ms	26928 KB	Output is correct
5	Correct	198 ms	22868 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	159 ms	14968 KB	Output is correct
2	Correct	223 ms	22864 KB	Output is correct
3	Correct	134 ms	21624 KB	Output is correct
4	Correct	212 ms	26704 KB	Output is correct
5	Correct	170 ms	23640 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	140 ms	14984 KB	Output is correct
2	Correct	166 ms	14928 KB	Output is correct
3	Correct	163 ms	24912 KB	Output is correct
4	Correct	232 ms	28752 KB	Output is correct
5	Correct	196 ms	23932 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	170 ms	14984 KB	Output is correct
2	Correct	279 ms	24436 KB	Output is correct
3	Correct	161 ms	23120 KB	Output is correct
4	Correct	217 ms	28248 KB	Output is correct
5	Correct	201 ms	25084 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	182 ms	14988 KB	Output is correct
2	Correct	185 ms	14984 KB	Output is correct
3	Correct	184 ms	26484 KB	Output is correct
4	Correct	274 ms	30548 KB	Output is correct
5	Correct	234 ms	26192 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	187 ms	14928 KB	Output is correct
2	Correct	285 ms	25336 KB	Output is correct
3	Correct	181 ms	24400 KB	Output is correct
4	Correct	295 ms	30324 KB	Output is correct
5	Correct	228 ms	26580 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	199 ms	15956 KB	Output is correct
2	Correct	264 ms	15996 KB	Output is correct
3	Correct	234 ms	30840 KB	Output is correct
4	Correct	355 ms	35156 KB	Output is correct
5	Correct	274 ms	29524 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	264 ms	15956 KB	Output is correct
2	Correct	335 ms	29268 KB	Output is correct
3	Correct	230 ms	28388 KB	Output is correct
4	Correct	319 ms	35412 KB	Output is correct
5	Correct	318 ms	30804 KB	Output is correct

Submission #991329

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