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Submission #941466

# Submission time Handle Problem Language Result Execution time Memory
941466 2024-03-09T01:40:32 Z dwuy Balloons (CEOI11_bal) C++14
20 / 100
 492 ms 8272 KB 
#include <bits/stdc++.h>

#define fastIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(a) freopen(a".inp","r",stdin); freopen(a".out", "w",stdout)
#define fi first
#define se second
#define endl "\n"
#define len(s) int32_t(s.length())
#define MASK(k)(1LL<<(k))
#define TASK "test"
#define int long long

using namespace std;

typedef tuple<int, int, int> tpiii;
typedef pair<double, double> pdd;
typedef pair<int, int> pii;
typedef long long ll;

const long long OO = 1e18;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const int MX = 200005;

int n;
pdd a[MX];
pdd v[MX];

void nhap(){
    cin >> n;
    for(int i=1; i<=n; i++) cin >> a[i].fi >> a[i].se;
}

double sqr(double x){
    return x*x;
}

double euler(pdd a, pdd b){
    return sqrt(sqr(a.fi - b.fi) + sqr(a.se - b.se));
}

double dis(pdd ball, double p){
    double lo=0, hi=INF;
    for(int t=0; t<38; t++){
        double mid = (lo+hi)/2;
        if(euler(ball, {p, mid}) >= mid + ball.se) lo = mid;
        else hi = mid;
    }
    return (lo + hi)/2;
}

void solve(){   
    int id = 0;
    for(int i=1; i<=n; i++){
        while(id>1){
            double dis1 = dis(v[id], a[i].fi);
            double dis2 = dis(v[id - 1], a[i].fi);
            if(dis1 > dis2) id--;
            else break;
        }
        v[id+1] = {a[i].fi, min(a[i].se, id==0? 1e10 : dis(v[id], a[i].fi))};
        id++;
        cout << fixed << setprecision(3) << v[id].se << '\n';
    }
}

int32_t main(){
    fastIO;
    //file(TASK);

    nhap();
    solve();

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB 2 numbers

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 2396 KB 6th numbers differ - expected: '213.0000000000', found: '212.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 2396 KB 7th numbers differ - expected: '115.0000000000', found: '114.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 48 ms 4864 KB 7th numbers differ - expected: '207.0000000000', found: '207.0030000000', error = '0.0030000000'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 137 ms 5036 KB 2nd numbers differ - expected: '15398.0000000000', found: '15398.0020000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 243 ms 5864 KB 2nd numbers differ - expected: '7937.0000000000', found: '7936.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 275 ms 6224 KB 5th numbers differ - expected: '5054.0000000000', found: '5053.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 358 ms 7220 KB 6th numbers differ - expected: '1869.0000000000', found: '1869.0030000000', error = '0.0030000000'
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 492 ms 8272 KB 5th numbers differ - expected: '2958.0000000000', found: '2958.0020000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -