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Submission #550798

# Submission time Handle Problem Language Result Execution time Memory
550798 2022-04-19T08:33:08 Z CyberSleeper Mobile (BOI12_mobile) C++14
90 / 100
 422 ms 16780 KB 
#include <bits/stdc++.h>
#define fastio      ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define debug(x)    cout << "Line " << __LINE__ << ", " << #x << " is " << x << endl
#define all(x)      x.begin(), x.end()
#define fi          first
#define se          second
#define mp          make_pair
#define pb          push_back
#define ll          long long
#define ull         unsigned long long
#define pll         pair<ll, ll>
#define pii         pair<int, int>
#define pld         pair<ld, ld>
#define ld          double
#define nl          endl
#define tb          '\t'
#define sp          ' '
#define sqr(x)      (x)*(x)
#define arr3        array<int, 3>
using namespace std;
 
const int MX=1000005, MOD=1000000007, BLOCK=160, INF=2e9+7, LG=62;
const ll INFF=1000000000000000007;
const ld ERR=1e-3, pi=3.14159265358979323846;

int N;
int L;
pll A[MX];

bool valid(ld x){
    ld best=0;
    for(int i=1; i<=N; i++){
        ld dist=sqrt(x*x - A[i].se*A[i].se);
        ld le=A[i].fi-dist, ri=A[i].fi+dist;
        if(le<=best)
            best=max(best, ri);
    }
    return (L<=best);
}

int main(){
    fastio;
    cin >> N >> L;
    for(int i=1; i<=N; i++){
        cin >> A[i].fi >> A[i].se;
    }
    ld le=0, ri=1e10, mi, ans;
    while(le+ERR<=ri){
        mi=(le+ri)/2;
        if(valid(mi)){
            ri=mi;
            ans=mi;
        }else
            le=mi;
    }
    cout << fixed << setprecision(3) << ans << nl;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 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 0 ms 328 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 328 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 1 ms 372 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 372 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 2 ms 468 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 2 ms 472 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 4 ms 468 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 2 ms 468 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 3 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 1868 KB Output is correct
2 Correct 24 ms 1916 KB Output is correct
3 Correct 16 ms 1296 KB Output is correct
4 Correct 29 ms 1988 KB Output is correct
5 Correct 16 ms 1364 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1888 KB Output is correct
2 Correct 23 ms 1740 KB Output is correct
3 Correct 43 ms 2188 KB Output is correct
4 Correct 29 ms 1996 KB Output is correct
5 Correct 42 ms 2120 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1900 KB Output is correct
2 Correct 25 ms 1996 KB Output is correct
3 Correct 27 ms 2116 KB Output is correct
4 Correct 45 ms 2376 KB Output is correct
5 Correct 33 ms 2216 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 2284 KB Output is correct
2 Correct 31 ms 2316 KB Output is correct
3 Correct 31 ms 2392 KB Output is correct
4 Correct 41 ms 2364 KB Output is correct
5 Correct 33 ms 2380 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 2336 KB Output is correct
2 Correct 33 ms 2384 KB Output is correct
3 Correct 30 ms 2332 KB Output is correct
4 Correct 39 ms 2412 KB Output is correct
5 Correct 34 ms 2464 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 129 ms 8856 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 8780 KB Output is correct
2 Correct 219 ms 8904 KB Output is correct
3 Correct 136 ms 8912 KB Output is correct
4 Correct 296 ms 8900 KB Output is correct
5 Correct 174 ms 8908 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 148 ms 10444 KB Output is correct
2 Correct 194 ms 10508 KB Output is correct
3 Correct 176 ms 10488 KB Output is correct
4 Correct 234 ms 10728 KB Output is correct
5 Correct 204 ms 10472 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 222 ms 10488 KB Output is correct
2 Correct 251 ms 10436 KB Output is correct
3 Correct 175 ms 10432 KB Output is correct
4 Correct 218 ms 10432 KB Output is correct
5 Correct 197 ms 10476 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 190 ms 12164 KB Output is correct
2 Correct 217 ms 12024 KB Output is correct
3 Correct 251 ms 12044 KB Output is correct
4 Correct 283 ms 12272 KB Output is correct
5 Correct 222 ms 11700 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 226 ms 12336 KB Output is correct
2 Correct 321 ms 12036 KB Output is correct
3 Correct 206 ms 11924 KB Output is correct
4 Correct 280 ms 12364 KB Output is correct
5 Correct 241 ms 11760 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 208 ms 13568 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 260 ms 13900 KB Output is correct
2 Correct 322 ms 13624 KB Output is correct
3 Correct 228 ms 13852 KB Output is correct
4 Correct 306 ms 13732 KB Output is correct
5 Correct 284 ms 13260 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 260 ms 16496 KB Output is correct
2 Correct 298 ms 16724 KB Output is correct
3 Correct 302 ms 16728 KB Output is correct
4 Correct 373 ms 16324 KB Output is correct
5 Correct 328 ms 16136 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 314 ms 16644 KB Output is correct
2 Correct 400 ms 16780 KB Output is correct
3 Correct 306 ms 16504 KB Output is correct
4 Correct 422 ms 16336 KB Output is correct
5 Correct 364 ms 16588 KB Output is correct