Submission #550792

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
550792	2022-04-19T08:24:02 Z	CyberSleeper	Mobile (BOI12_mobile)	C++14	50 / 100	1000 ms	32776 KB

mobile

#include <bits/stdc++.h>
#define fastio      ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define debug(x)    cout << "Line " << __LINE__ << ", " << #x << " is " << x << endl
#define all(x)      x.begin(), x.end()
#define fi          first
#define se          second
#define mp          make_pair
#define pb          push_back
#define ll          long long
#define ull         unsigned long long
#define pll         pair<ll, ll>
#define pii         pair<int, int>
#define pld         pair<ld, ld>
#define ld          long double
#define nl          endl
#define tb          '\t'
#define sp          ' '
#define sqr(x)      (x)*(x)
#define arr3        array<int, 3>
using namespace std;
 
const int MX=1000005, MOD=1000000007, BLOCK=160, INF=2e9+7, LG=62;
const ll INFF=1000000000000000007;
const ld ERR=1e-3, pi=3.14159265358979323846;

ll N, L;
pld A[MX];

bool valid(ld x){
    ld best=0;
    for(int i=1; i<=N; i++){
        ld dist=sqrt(x*x - A[i].se*A[i].se);
        ld le=A[i].fi-dist, ri=A[i].fi+dist;
        if(le<=best)
            best=max(best, ri);
    }
    return (L<=best);
}

int main(){
    fastio;
    cin >> N >> L;
    for(int i=1; i<=N; i++){
        cin >> A[i].fi >> A[i].se;
    }
    ld le=0, ri=2e9, mi, ans;
    while(le+ERR<=ri){
        mi=(le+ri)/2;
        if(valid(mi)){
            ri=mi;
            ans=mi;
        }else
            le=mi;
    }
    cout << fixed << setprecision(3) << ans << nl;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	340 KB	Output is correct
2	Correct	3 ms	340 KB	Output is correct
3	Correct	2 ms	340 KB	Output is correct
4	Correct	3 ms	396 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	472 KB	Output is correct
2	Correct	4 ms	468 KB	Output is correct
3	Correct	6 ms	468 KB	Output is correct
4	Correct	9 ms	568 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	464 KB	Output is correct
2	Correct	5 ms	468 KB	Output is correct
3	Correct	4 ms	420 KB	Output is correct
4	Correct	7 ms	460 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	472 KB	Output is correct
2	Correct	6 ms	468 KB	Output is correct
3	Correct	4 ms	468 KB	Output is correct
4	Correct	7 ms	508 KB	Output is correct
5	Correct	5 ms	468 KB	Output is correct

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	76 ms	3080 KB	Output is correct
2	Correct	81 ms	3128 KB	Output is correct
3	Incorrect	57 ms	2508 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	74 ms	3276 KB	Output is correct
2	Correct	76 ms	2980 KB	Output is correct
3	Correct	103 ms	3372 KB	Output is correct
4	Incorrect	89 ms	3404 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	62 ms	3584 KB	Output is correct
2	Correct	75 ms	3416 KB	Output is correct
3	Incorrect	82 ms	3484 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	3900 KB	Output is correct
2	Correct	75 ms	3964 KB	Output is correct
3	Incorrect	78 ms	3916 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	80 ms	3924 KB	Output is correct
2	Correct	97 ms	3916 KB	Output is correct
3	Correct	91 ms	3916 KB	Output is correct
4	Correct	133 ms	3956 KB	Output is correct
5	Correct	108 ms	3988 KB	Output is correct

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	330 ms	16488 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	401 ms	16660 KB	Output is correct
2	Correct	552 ms	17080 KB	Output is correct
3	Correct	407 ms	16856 KB	Output is correct
4	Correct	692 ms	16840 KB	Output is correct
5	Incorrect	566 ms	17004 KB	Output isn't correct
6	Halted	0 ms	0 KB	-

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	398 ms	19620 KB	Output is correct
2	Correct	454 ms	20028 KB	Output is correct
3	Correct	468 ms	20084 KB	Output is correct
4	Correct	848 ms	20264 KB	Output is correct
5	Correct	670 ms	19996 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	462 ms	19492 KB	Output is correct
2	Correct	703 ms	19876 KB	Output is correct
3	Correct	484 ms	19880 KB	Output is correct
4	Correct	950 ms	20008 KB	Output is correct
5	Correct	681 ms	20048 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	531 ms	22984 KB	Output is correct
2	Correct	544 ms	23136 KB	Output is correct
3	Correct	492 ms	22484 KB	Output is correct
4	Correct	935 ms	22888 KB	Output is correct
5	Correct	848 ms	30828 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	547 ms	22700 KB	Output is correct
2	Correct	721 ms	22748 KB	Output is correct
3	Correct	593 ms	22988 KB	Output is correct
4	Correct	899 ms	23244 KB	Output is correct
5	Correct	872 ms	22852 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	495 ms	26016 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	639 ms	26136 KB	Output is correct
2	Correct	842 ms	26228 KB	Output is correct
3	Correct	625 ms	26052 KB	Output is correct
4	Execution timed out	1062 ms	26348 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	630 ms	32408 KB	Output is correct
2	Correct	799 ms	32664 KB	Output is correct
3	Correct	752 ms	32776 KB	Output is correct
4	Execution timed out	1074 ms	32076 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	773 ms	32648 KB	Output is correct
2	Execution timed out	1043 ms	32736 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Submission #550792

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