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Submission #1023066

# Submission time Handle Problem Language Result Execution time Memory
1023066 2024-07-14T09:10:46 Z tanprodium Mobile (BOI12_mobile) C++14
50 / 100
 1000 ms 97480 KB 
// include
#include<bits/stdc++.h>

using namespace std;

// define
#define fi    first
#define se    second

#define pub   push_back
#define pob   pop_back
#define puf   push_front
#define pof   pop_front
#define eb    emplace_back
#define upb   upper_bound
#define lwb   lower_bound

#define left  VAN
#define right TAN

#define sz(a)               (int)a.size()
#define all(a)              (a).begin(),(a).end()
#define rall(a)             (a).begin(),(a).end()
#define sort_and_unique(a)  sort(all(a));(a).resize(unique(all(a))-a.begin())
#define max_                max_element
#define min_                min_element

// another define
using ll  = long long;
using ld  = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using mii = map<int, int>;
using mil = map<int, ll>;
using mli = map<ll, int>;
using mll = map<ll, ll>;
using vi  = vector<int>;
using vl  = vector<ll>;
using vvi = vector<vi>;
using vvl = vector<vl>;

// random
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

// templates
template<class X, class Y>
    bool maximize(X &x, const Y &y) {
        if (y > x) {
            x = y;
            return (true);
        } else return (false);
    }

template<class X, class Y>
    bool minimize(X &x, const Y &y) {
        if (y < x) {
            x = y;
            return (true);
        } else return (false);
    }

template<class T>
    void print(const T &a, const int &l, const int &r) {
        for (int i = l; i <= r; i++)
            cout << a[i] << ' ';
        cout << '\n';
    }

// limit
const int oo = 2e9;
const int N  = 1e6;

// function
void yesno(bool x) {
    cout << (x ? "YES\n" : "NO\n");
}

// mem
ll L;
int n;
ld x[N + 5], y[N + 5];

bool ok(ld d) {
    vector<pair<ld, ld>> s;
    for (int i = 1; i <= n; i++) {
        ld y0 = abs(y[i]);
        if (y0 <= d) {
            ld delta = sqrt(d * d - y0 * y0);
            s.pub({x[i] - delta, x[i] + delta});
        }
    }
    sort(all(s));
    if (sz(s) == 0) return (false);
    if (s[0].fi > 0.0) return (false);
    ld r = 0.0;
    for (int i = 0; i < sz(s); i++) {
        if (r >= s[i].fi) maximize(r, s[i].se);
    }
    if (r >= L) return (true);
    else return (false);
}

ld BS() {
    ld l = 0.0, r = 2e9;
    for (int _ = 1; _ <= 45; _++) {
        ld mid = (l + r) / 2;
        if (ok(mid))
            r = mid;
        else l = mid;
    }
    return (r);
}

void solve() {
    cin >> n >> L;
    for (int i = 1; i <= n; i++) {
        cin >> x[i] >> y[i];
    }
    cout << fixed << setprecision(4) << BS() << '\n';
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    int t = 1;
    //cin >> t;

    while (t--) solve();
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 1 ms 348 KB Output is correct
2 Correct 1 ms 508 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 776 KB Output is correct
2 Correct 9 ms 816 KB Output is correct
3 Correct 5 ms 604 KB Output is correct
4 Correct 8 ms 808 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 1096 KB Output is correct
2 Correct 19 ms 1276 KB Output is correct
3 Correct 23 ms 1108 KB Output is correct
4 Correct 10 ms 1120 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1120 KB Output is correct
2 Correct 18 ms 1144 KB Output is correct
3 Correct 23 ms 1096 KB Output is correct
4 Correct 10 ms 1116 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1128 KB Output is correct
2 Correct 18 ms 1268 KB Output is correct
3 Correct 26 ms 1112 KB Output is correct
4 Correct 11 ms 1144 KB Output is correct
5 Correct 13 ms 1096 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 225 ms 10128 KB Output is correct
2 Correct 475 ms 10500 KB Output is correct
3 Correct 304 ms 6524 KB Output is correct
4 Correct 169 ms 10492 KB Output is correct
5 Correct 164 ms 6072 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 245 ms 10292 KB Output is correct
2 Correct 197 ms 9848 KB Output is correct
3 Correct 221 ms 10708 KB Output is correct
4 Correct 194 ms 10756 KB Output is correct
5 Correct 157 ms 11480 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 412 ms 10792 KB Output is correct
2 Correct 549 ms 10920 KB Output is correct
3 Correct 685 ms 10876 KB Output is correct
4 Correct 119 ms 12704 KB Output is correct
5 Correct 262 ms 11080 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 516 ms 12520 KB Output is correct
2 Correct 673 ms 12292 KB Output is correct
3 Correct 831 ms 11912 KB Output is correct
4 Correct 140 ms 12760 KB Output is correct
5 Correct 281 ms 12104 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 434 ms 12368 KB Output is correct
2 Correct 655 ms 12268 KB Output is correct
3 Correct 849 ms 11904 KB Output is correct
4 Correct 129 ms 12688 KB Output is correct
5 Correct 255 ms 12152 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1020 ms 52524 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1034 ms 56444 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1045 ms 73660 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1067 ms 78368 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1040 ms 77700 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1074 ms 83168 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1065 ms 81684 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1067 ms 87936 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1071 ms 89808 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 1025 ms 97480 KB Time limit exceeded
2 Halted 0 ms 0 KB -