Submission #941593

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
941593	2024-03-09T07:50:57 Z	Kavelmydex	Mobile (BOI12_mobile)	C++17	100 / 100	405 ms	28364 KB

mobile

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pi pair<int,int>
#define vi vector<int>
#define rep(i,x,n) for(int i=x; i<n; ++i)
#define For(i,n) rep(i,0,n)
#define pb push_back
#define endl "\n"
#define sp ' '
#define f first
#define s second
#define sz size()
#define all(x) (x).begin(),(x).end()
 
const int N = 3e5+10, OO = 1e18, mod = 1e9+7;
void tr(int a, int b){cout << a << sp << b << endl;}
void cmx(int &a, int b){a = max(a,b);}
void cmn(int &a, int b){a = min(a,b);}
 
vector <pi> v;
int n,L;
bool ok(double m){
    double mn = 2e9, mx = -2e9, z = 0;
    For(i,n){
        auto [x,y] = v[i];
        if(y*y > m*m) continue;
        double d = sqrt(m * m - y * y);
        if(x-d <= z && z <= x+d){
            z = x+d;
        }   
        if(x-d < mn) mn = x-d;
        if(mx < x+d) mx = x+d;    
        if(mn <= 0 && L <= mx && z >= L) return 1;
    }
    return 0;
}
int32_t main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> n >> L;
    For(i,n){
        int x,y; cin >> x >> y;
        v.pb({x,y});
    }
    double l = 0, r = 1e10;
    For(i,60){
        double m = (l+r)/2;
        if(ok(m)) r = m;
        else l = m;
    }
    cout << setprecision(20) << r << endl;
    return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	1 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	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	1 ms	604 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	1 ms	604 KB	Output is correct
4	Correct	1 ms	604 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	856 KB	Output is correct
2	Correct	2 ms	600 KB	Output is correct
3	Correct	1 ms	856 KB	Output is correct
4	Correct	2 ms	604 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	2 ms	500 KB	Output is correct
4	Correct	2 ms	604 KB	Output is correct
5	Correct	1 ms	600 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	34 ms	3288 KB	Output is correct
2	Correct	18 ms	3160 KB	Output is correct
3	Correct	11 ms	2008 KB	Output is correct
4	Correct	18 ms	3288 KB	Output is correct
5	Correct	9 ms	1932 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	14 ms	3032 KB	Output is correct
2	Correct	17 ms	3284 KB	Output is correct
3	Correct	20 ms	3836 KB	Output is correct
4	Correct	22 ms	3296 KB	Output is correct
5	Correct	21 ms	3508 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	3028 KB	Output is correct
2	Correct	18 ms	3284 KB	Output is correct
3	Correct	19 ms	3288 KB	Output is correct
4	Correct	25 ms	3724 KB	Output is correct
5	Correct	16 ms	3288 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	3280 KB	Output is correct
2	Correct	23 ms	3560 KB	Output is correct
3	Correct	20 ms	3288 KB	Output is correct
4	Correct	27 ms	3844 KB	Output is correct
5	Correct	20 ms	3288 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	46 ms	3188 KB	Output is correct
2	Correct	22 ms	3436 KB	Output is correct
3	Correct	22 ms	3288 KB	Output is correct
4	Correct	26 ms	3796 KB	Output is correct
5	Correct	20 ms	3284 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	213 ms	11792 KB	Output is correct
2	Correct	117 ms	14180 KB	Output is correct
3	Correct	113 ms	14044 KB	Output is correct
4	Correct	117 ms	15304 KB	Output is correct
5	Correct	102 ms	13244 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	117 ms	12724 KB	Output is correct
2	Correct	249 ms	13760 KB	Output is correct
3	Correct	110 ms	11976 KB	Output is correct
4	Correct	115 ms	15352 KB	Output is correct
5	Correct	99 ms	13508 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	219 ms	20688 KB	Output is correct
2	Correct	142 ms	22684 KB	Output is correct
3	Correct	123 ms	21692 KB	Output is correct
4	Correct	145 ms	23732 KB	Output is correct
5	Correct	126 ms	22168 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	155 ms	21628 KB	Output is correct
2	Correct	284 ms	22340 KB	Output is correct
3	Correct	139 ms	21992 KB	Output is correct
4	Correct	143 ms	24560 KB	Output is correct
5	Correct	118 ms	22712 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	262 ms	20144 KB	Output is correct
2	Correct	155 ms	23732 KB	Output is correct
3	Correct	152 ms	23456 KB	Output is correct
4	Correct	174 ms	25784 KB	Output is correct
5	Correct	133 ms	23480 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	188 ms	22556 KB	Output is correct
2	Correct	298 ms	23012 KB	Output is correct
3	Correct	148 ms	22364 KB	Output is correct
4	Correct	163 ms	24248 KB	Output is correct
5	Correct	138 ms	22968 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	310 ms	19768 KB	Output is correct
2	Correct	193 ms	24376 KB	Output is correct
3	Correct	162 ms	24852 KB	Output is correct
4	Correct	187 ms	25780 KB	Output is correct
5	Correct	156 ms	24524 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	191 ms	21428 KB	Output is correct
2	Correct	328 ms	23732 KB	Output is correct
3	Correct	163 ms	23744 KB	Output is correct
4	Correct	197 ms	26584 KB	Output is correct
5	Correct	159 ms	23480 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	352 ms	21348 KB	Output is correct
2	Correct	214 ms	26508 KB	Output is correct
3	Correct	230 ms	26056 KB	Output is correct
4	Correct	237 ms	26820 KB	Output is correct
5	Correct	199 ms	24476 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	235 ms	24496 KB	Output is correct
2	Correct	405 ms	25124 KB	Output is correct
3	Correct	210 ms	23940 KB	Output is correct
4	Correct	255 ms	28364 KB	Output is correct
5	Correct	206 ms	26296 KB	Output is correct

Submission #941593

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