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답안 #658004

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
658004 2022-11-11T19:53:45 Z chjiao Mobile (BOI12_mobile) C++14
100 / 100
 478 ms 31444 KB 
//Binary search the shortest length from the firehose
 
#include <bits/stdc++.h>
using namespace std;
 
#define fastio	ios_base::sync_with_stdio(false);cin.tie(0)
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
 
#define FOR(i,a,b) for(ll i=a;i<=b;i++)
#define FORB(i,a,b) for(ll i=a;i>=b;i--)
 
#define getbit(mask,i) ((mask>>(i))&1)
#define getnum(i) (1<<(i))
 
#define endl "\n"
#define sz(x) (int)size(x)
#define mp make_pair
using ll = long long;
const ll MOD1 = 1e9+7;
const ll MOD2 = 998244353;
const ll MN = 1e5;
const ll MAX = LLONG_MAX;
long double FLOAT_ERR = 1e-5;
long double first_true_float(long double lo, long double hi, function<bool(long double)> f) {
	// if none of the values in the range work, return hi + 1
	lo--;
	hi++;
	while (hi-lo > FLOAT_ERR) {
		long double mid =  (lo + hi) / 2.0f;
		if (f(mid)) {
			hi = mid;
		} else {
			lo = mid;
		}
	}
	return lo;
}
 
int main() {
    fastio;
	// freopen("XXX.in","r",stdin);
	// freopen("XXX.out","w",stdout);
    ll N;
    ll L;
    cin >> N >> L;
    vector<pair<ll,ll>> input(N);
    for(int i=0; i<N; i++){
        cin >> input[i].first >> input[i].second;
    }
    // sort(input.begin(), input.end());
    cout << fixed << setprecision(6)<<first_true_float(1, 1.5e9, [&](long double x){
        long double left = 0;
        for(auto cell:input){
            if(x*x < cell.second*cell.second){
                continue;
            }
            long double diviation = sqrt(x*x - cell.second*cell.second);
        
            if((cell.first-diviation) <= left){
                left =max(left, cell.first+diviation);
            } 
        }
        return left >= L;

    }) << endl;
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 212 KB Output is correct

Subtask #2
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 316 KB Output is correct

Subtask #3
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 332 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 3 ms 468 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 468 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 3 ms 468 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 2 ms 464 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 328 KB Output is correct
2 Correct 3 ms 456 KB Output is correct
3 Correct 4 ms 340 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 43 ms 1620 KB Output is correct
2 Correct 31 ms 1612 KB Output is correct
3 Correct 18 ms 1672 KB Output is correct
4 Correct 24 ms 2632 KB Output is correct
5 Correct 14 ms 1480 KB Output is correct

Subtask #8
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 21 ms 1620 KB Output is correct
2 Correct 23 ms 1480 KB Output is correct
3 Correct 27 ms 1712 KB Output is correct
4 Correct 30 ms 1620 KB Output is correct
5 Correct 26 ms 3072 KB Output is correct

Subtask #9
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 1748 KB Output is correct
2 Correct 30 ms 1748 KB Output is correct
3 Correct 29 ms 2508 KB Output is correct
4 Correct 30 ms 3780 KB Output is correct
5 Correct 27 ms 2516 KB Output is correct

Subtask #10
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 45 ms 2004 KB Output is correct
2 Correct 39 ms 3272 KB Output is correct
3 Correct 34 ms 2904 KB Output is correct
4 Correct 34 ms 3800 KB Output is correct
5 Correct 29 ms 3028 KB Output is correct

Subtask #11
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 40 ms 2008 KB Output is correct
2 Correct 41 ms 3276 KB Output is correct
3 Correct 35 ms 2972 KB Output is correct
4 Correct 29 ms 3776 KB Output is correct
5 Correct 30 ms 3028 KB Output is correct

Subtask #12
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 174 ms 8276 KB Output is correct
2 Correct 228 ms 15808 KB Output is correct
3 Correct 188 ms 15288 KB Output is correct
4 Correct 158 ms 17608 KB Output is correct
5 Correct 155 ms 14908 KB Output is correct

Subtask #13
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 182 ms 8276 KB Output is correct
2 Correct 265 ms 14656 KB Output is correct
3 Correct 156 ms 13764 KB Output is correct
4 Correct 152 ms 17344 KB Output is correct
5 Correct 155 ms 15428 KB Output is correct

Subtask #14
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 207 ms 9812 KB Output is correct
2 Correct 237 ms 18924 KB Output is correct
3 Correct 232 ms 18268 KB Output is correct
4 Correct 180 ms 21464 KB Output is correct
5 Correct 181 ms 17628 KB Output is correct

Subtask #15
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 224 ms 9792 KB Output is correct
2 Correct 318 ms 17496 KB Output is correct
3 Correct 199 ms 16472 KB Output is correct
4 Correct 184 ms 21332 KB Output is correct
5 Correct 174 ms 18392 KB Output is correct

Subtask #16
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 254 ms 11396 KB Output is correct
2 Correct 267 ms 22004 KB Output is correct
3 Correct 273 ms 21384 KB Output is correct
4 Correct 216 ms 24692 KB Output is correct
5 Correct 213 ms 20212 KB Output is correct

Subtask #17
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 273 ms 11316 KB Output is correct
2 Correct 360 ms 20472 KB Output is correct
3 Correct 229 ms 19532 KB Output is correct
4 Correct 213 ms 24568 KB Output is correct
5 Correct 213 ms 21368 KB Output is correct

Subtask #18
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 306 ms 13008 KB Output is correct
2 Correct 318 ms 25112 KB Output is correct
3 Correct 299 ms 24352 KB Output is correct
4 Correct 238 ms 28440 KB Output is correct
5 Correct 267 ms 23968 KB Output is correct

Subtask #19
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 298 ms 13140 KB Output is correct
2 Correct 393 ms 23316 KB Output is correct
3 Correct 280 ms 22300 KB Output is correct
4 Correct 252 ms 28188 KB Output is correct
5 Correct 232 ms 24344 KB Output is correct

Subtask #20
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 381 ms 16452 KB Output is correct
2 Correct 426 ms 31444 KB Output is correct
3 Correct 379 ms 30480 KB Output is correct
4 Correct 299 ms 17148 KB Output is correct
5 Correct 310 ms 29516 KB Output is correct

Subtask #21
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 382 ms 15980 KB Output is correct
2 Correct 478 ms 29144 KB Output is correct
3 Correct 339 ms 28364 KB Output is correct
4 Correct 307 ms 17228 KB Output is correct
5 Correct 291 ms 30684 KB Output is correct