Submission #656300

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
656300	2022-11-06T18:47:51 Z	chjiao	Mobile (BOI12_mobile)	C++14	100 / 100	460 ms	16084 KB

mobile

#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;


//first true float/double
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, L;
	cin >> N >> L;
	vector<pair<ll, ll>> stations(N);
	FOR(i,0,N-1) {
		ll y;
		cin >> stations[i].first >> y;
		stations[i].second = y*y;
	}
	long double ans = first_true_float(1, 1.5e9, [&](long double mid) { 
		long double mx=0;
		long double dd=mid*mid, xx;
		for(auto station:stations) {
			if(dd-station.second<0) continue;
			xx=sqrt(dd-station.second);
			if(station.first-xx<=mx) 
				mx = max(mx, station.first+xx);
		}
		return mx>=L;
	});
	cout <<  fixed << setprecision(6) << ans << endl;

}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 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 #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	2 ms	384 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	2 ms	328 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	396 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	460 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 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	460 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	340 KB	Output is correct
2	Correct	3 ms	460 KB	Output is correct
3	Correct	2 ms	340 KB	Output is correct
4	Correct	2 ms	464 KB	Output is correct
5	Correct	2 ms	340 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	38 ms	1492 KB	Output is correct
2	Correct	28 ms	1620 KB	Output is correct
3	Correct	18 ms	1236 KB	Output is correct
4	Correct	23 ms	1632 KB	Output is correct
5	Correct	15 ms	1220 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1492 KB	Output is correct
2	Correct	27 ms	1492 KB	Output is correct
3	Correct	30 ms	1620 KB	Output is correct
4	Correct	28 ms	1608 KB	Output is correct
5	Correct	25 ms	1748 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	30 ms	1620 KB	Output is correct
2	Correct	32 ms	1620 KB	Output is correct
3	Correct	38 ms	1668 KB	Output is correct
4	Correct	34 ms	1928 KB	Output is correct
5	Correct	26 ms	1748 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	37 ms	1876 KB	Output is correct
2	Correct	39 ms	2004 KB	Output is correct
3	Correct	32 ms	1908 KB	Output is correct
4	Correct	32 ms	2004 KB	Output is correct
5	Correct	29 ms	1992 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	39 ms	1876 KB	Output is correct
2	Correct	37 ms	1876 KB	Output is correct
3	Correct	34 ms	2004 KB	Output is correct
4	Correct	30 ms	1996 KB	Output is correct
5	Correct	33 ms	1904 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	176 ms	8148 KB	Output is correct
2	Correct	183 ms	8148 KB	Output is correct
3	Correct	181 ms	8148 KB	Output is correct
4	Correct	143 ms	8148 KB	Output is correct
5	Correct	142 ms	8284 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	188 ms	8148 KB	Output is correct
2	Correct	244 ms	8148 KB	Output is correct
3	Correct	176 ms	8280 KB	Output is correct
4	Correct	145 ms	8260 KB	Output is correct
5	Correct	139 ms	8224 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	205 ms	9684 KB	Output is correct
2	Correct	244 ms	9684 KB	Output is correct
3	Correct	237 ms	9804 KB	Output is correct
4	Correct	173 ms	9812 KB	Output is correct
5	Correct	173 ms	9836 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	224 ms	9684 KB	Output is correct
2	Correct	281 ms	9684 KB	Output is correct
3	Correct	195 ms	9812 KB	Output is correct
4	Correct	181 ms	9756 KB	Output is correct
5	Correct	167 ms	9812 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	244 ms	11220 KB	Output is correct
2	Correct	279 ms	11220 KB	Output is correct
3	Correct	252 ms	11288 KB	Output is correct
4	Correct	233 ms	11348 KB	Output is correct
5	Correct	199 ms	11392 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	278 ms	11220 KB	Output is correct
2	Correct	341 ms	11220 KB	Output is correct
3	Correct	222 ms	11352 KB	Output is correct
4	Correct	211 ms	11296 KB	Output is correct
5	Correct	212 ms	11348 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	291 ms	12756 KB	Output is correct
2	Correct	297 ms	12756 KB	Output is correct
3	Correct	285 ms	12876 KB	Output is correct
4	Correct	250 ms	12884 KB	Output is correct
5	Correct	225 ms	12884 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	311 ms	12756 KB	Output is correct
2	Correct	381 ms	12756 KB	Output is correct
3	Correct	268 ms	12884 KB	Output is correct
4	Correct	235 ms	12872 KB	Output is correct
5	Correct	225 ms	12884 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	356 ms	15956 KB	Output is correct
2	Correct	376 ms	15896 KB	Output is correct
3	Correct	359 ms	16016 KB	Output is correct
4	Correct	314 ms	15956 KB	Output is correct
5	Correct	283 ms	16000 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	410 ms	15956 KB	Output is correct
2	Correct	460 ms	15956 KB	Output is correct
3	Correct	346 ms	16084 KB	Output is correct
4	Correct	290 ms	15956 KB	Output is correct
5	Correct	287 ms	15956 KB	Output is correct

Submission #656300

Compilation message