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답안 #819919

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
819919 2023-08-10T15:38:10 Z Peter_Peter Mobile (BOI12_mobile) C++17
100 / 100
 414 ms 35284 KB 
// ~uped
#include<bits/stdc++.h>

using namespace std;

using ll = long long;

void fastio() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
}

int main() {
    fastio();
    int n, len;
    cin >> n >> len;
    vector<pair<ll, ll>> v(n);
    for (int i = 0; i < n; ++i) {
        int a, b;
        cin >> a >> b;
        v[i] = {a, b};
    }
    // binary search radius
    double l = 0.0, r = 1e10;
    while (r - l > 1e-3) {
        double radius = (l + r) / 2.0;
        double mx = 0;
        for (int j = 0; j < n; ++j) {
            ll x = v[j].first;
            ll y = v[j].second;
            // a*a+b*b=c*c => c*c-b*b=a*a
            double a = sqrt( radius * radius - y * y);
            // we cover segment from x - a to x + a
            if (x - a <= mx) {
                mx = max(x + a, mx);
            }
        }
        if (mx >= len) {
            r = radius;
        } else {
            l = radius;
        }
    }
    cout << setprecision(20) << r;
    return 0;
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 320 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 320 KB Output is correct

Subtask #2
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct

Subtask #4
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 460 KB Output is correct

Subtask #5
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 456 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 2260 KB Output is correct
2 Correct 21 ms 2544 KB Output is correct
3 Correct 14 ms 1748 KB Output is correct
4 Correct 28 ms 2652 KB Output is correct
5 Correct 15 ms 1492 KB Output is correct

Subtask #8
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 2176 KB Output is correct
2 Correct 25 ms 2132 KB Output is correct
3 Correct 27 ms 2516 KB Output is correct
4 Correct 28 ms 2644 KB Output is correct
5 Correct 30 ms 3028 KB Output is correct

Subtask #9
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 2260 KB Output is correct
2 Correct 22 ms 2764 KB Output is correct
3 Correct 21 ms 2516 KB Output is correct
4 Correct 39 ms 3788 KB Output is correct
5 Correct 26 ms 2644 KB Output is correct

Subtask #10
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 3408 KB Output is correct
2 Correct 27 ms 3284 KB Output is correct
3 Correct 25 ms 2900 KB Output is correct
4 Correct 40 ms 3788 KB Output is correct
5 Correct 34 ms 3036 KB Output is correct

Subtask #11
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 3292 KB Output is correct
2 Correct 27 ms 3284 KB Output is correct
3 Correct 25 ms 2904 KB Output is correct
4 Correct 36 ms 3796 KB Output is correct
5 Correct 31 ms 3152 KB Output is correct

Subtask #12
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 120 ms 12348 KB Output is correct
2 Correct 131 ms 15804 KB Output is correct
3 Correct 147 ms 15292 KB Output is correct
4 Correct 176 ms 17596 KB Output is correct
5 Correct 179 ms 14852 KB Output is correct

Subtask #13
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 137 ms 16316 KB Output is correct
2 Correct 208 ms 14668 KB Output is correct
3 Correct 124 ms 13772 KB Output is correct
4 Correct 195 ms 17356 KB Output is correct
5 Correct 178 ms 15420 KB Output is correct

Subtask #14
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 134 ms 14796 KB Output is correct
2 Correct 163 ms 18920 KB Output is correct
3 Correct 153 ms 18280 KB Output is correct
4 Correct 217 ms 21472 KB Output is correct
5 Correct 187 ms 17628 KB Output is correct

Subtask #15
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 181 ms 19528 KB Output is correct
2 Correct 247 ms 17500 KB Output is correct
3 Correct 162 ms 16484 KB Output is correct
4 Correct 221 ms 21336 KB Output is correct
5 Correct 191 ms 18380 KB Output is correct

Subtask #16
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 173 ms 17284 KB Output is correct
2 Correct 190 ms 22012 KB Output is correct
3 Correct 178 ms 21380 KB Output is correct
4 Correct 249 ms 24696 KB Output is correct
5 Correct 226 ms 20236 KB Output is correct

Subtask #17
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 183 ms 22776 KB Output is correct
2 Correct 264 ms 20476 KB Output is correct
3 Correct 186 ms 19580 KB Output is correct
4 Correct 262 ms 24572 KB Output is correct
5 Correct 223 ms 21380 KB Output is correct

Subtask #18
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 188 ms 19732 KB Output is correct
2 Correct 222 ms 25116 KB Output is correct
3 Correct 212 ms 24352 KB Output is correct
4 Correct 290 ms 28440 KB Output is correct
5 Correct 251 ms 23972 KB Output is correct

Subtask #19
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 232 ms 26008 KB Output is correct
2 Correct 296 ms 23320 KB Output is correct
3 Correct 200 ms 22292 KB Output is correct
4 Correct 292 ms 28192 KB Output is correct
5 Correct 253 ms 24400 KB Output is correct

Subtask #20
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 230 ms 24536 KB Output is correct
2 Correct 310 ms 31448 KB Output is correct
3 Correct 256 ms 30432 KB Output is correct
4 Correct 364 ms 35024 KB Output is correct
5 Correct 329 ms 29524 KB Output is correct

Subtask #21
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 269 ms 32336 KB Output is correct
2 Correct 370 ms 29144 KB Output is correct
3 Correct 260 ms 28244 KB Output is correct
4 Correct 414 ms 35284 KB Output is correct
5 Correct 358 ms 30688 KB Output is correct