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Submission #445958

# Submission time Handle Problem Language Result Execution time Memory
445958 2021-07-20T09:15:47 Z Qw3rTy Mobile (BOI12_mobile) C++11
0 / 100
 1000 ms 31560 KB 
#pragma GCC optimize(2)
#pragma GCC optimize(3)
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define int long long
#define db double
#define delta 1e-6
#define INF 1e9+5
#define pi pair<int,int>
#define pb pair<db,db>
#define fi first
#define se second
using namespace std;

const int maxN = 1e6+5;

int N,L;
pi tower[maxN];
pb inter[maxN]; //intersections

bool cmp(pb a, pb b){
	if(abs(a.fi - b.fi) < delta)return a.se < b.se;
	return a.fi < b.fi;
}

bool works(db r){
	for(int i = 1; i <= N; ++i)inter[i].fi = inter[i].se = -INF;
	for(int i = 1; i <= N; ++i) {
		//Can't reach any point on the highway
		if (r * r - tower[i].se * tower[i].se < 0)continue;
		inter[i].fi = tower[i].fi - sqrt(r*r - tower[i].se*tower[i].se);
		inter[i].se = tower[i].fi + sqrt(r*r + tower[i].se*tower[i].se);
		inter[i].fi = (inter[i].fi < 0)?0:inter[i].fi;
		inter[i].se = (inter[i].se > L)?L:inter[i].se;
	}
	sort(inter+1,inter+N+1,cmp);
	db a = 0; db b = 0;
	for(int i = 1; i <= N; ++i){
		//Invalid intersections
		if(inter[i].fi > inter[i].se)continue;
		//Merge intervals
		if(inter[i].fi <= b)b = (inter[i].se > b)?inter[i].se:b;
		else return false;
	}

	if(abs(a-0) < delta && abs(b-L) < delta)return true;
	return false;
}

signed main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	//freopen("../test.in","r",stdin);
	cin >> N >> L;
	for(int i = 1; i <= N; ++i)cin >> tower[i].fi >> tower[i].se;
	db low = 1; db high = 2e9;
	while(abs(high-low) > delta){
		db mid = (low+high)/2;
		if(works(mid))high = mid;
		else low = mid + delta;
	}
	cout << setprecision(6) << low  << '\n';
	return 0;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 204 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 204 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 332 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 10 ms 488 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 9 ms 488 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 460 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 180 ms 2656 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 171 ms 2816 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 2984 KB Output is correct
2 Incorrect 292 ms 2892 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 319 ms 3360 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 265 ms 3416 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1086 ms 15936 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 1081 ms 15972 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 1089 ms 19012 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 1073 ms 19008 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 1090 ms 22276 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 1094 ms 22212 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 1091 ms 25284 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 1086 ms 25540 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 1085 ms 31560 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 1092 ms 31524 KB Time limit exceeded
2 Halted 0 ms 0 KB -