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Submission #916356

# Submission time Handle Problem Language Result Execution time Memory
916356 2024-01-25T17:56:34 Z asdasdqwer Mobile (BOI12_mobile) C++14
50 / 100
 1000 ms 95392 KB 
#pragma GCC optimize("O3")

#include <bits/stdc++.h>
using namespace std;

#define int int64_t
#define pii array<int,2>


signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    
    int n,t;cin>>n>>t;
    vector<pii> v(n);
    for (auto &x:v)cin>>x[0]>>x[1];

    vector<pii> tt;
    for (auto &x:v) {
        if (!tt.size()) {
            tt.push_back(x);
        }

        else if (tt.back()[0] == x[0] && abs(tt.back()[1]) > abs(x[1])) {
            tt.pop_back();
        }
        tt.push_back(x);
    }

    v=tt;
    n=v.size();

    long double l = 1;
    long double r = 1e10;

    cout<<setprecision(15);

    for (auto &x:v) {
        r = min(r, (long double)max(sqrt(x[0]*x[0] + x[1]*x[1]), sqrt((x[0]-t)*(x[0]-t) + x[1]*x[1])));
    }

    // cout<<r<<"\n";

    vector<bool> rem(n, false);
    
    while (abs(l-r) > 0.0001) {
        long double m = (l+r)/2.0;
        int i=0;
        vector<array<long double,2>> start;
        bool all=false;
        
        for (auto &x:v) {
            if ((double)abs(x[1]) >= m) {
                rem[i]=true;
            }

            if (rem[i]) {
                i++;
                continue;
            }
    
            else {
                long double aa=(double)abs(x[1]);
                long double dis=sqrt(m*m-aa*aa);
                array<long double,2> pos1 = {x[0]-dis,x[0]+dis};
                if ((pos1[0] < 0.0 && pos1[1] < 0.0) || (pos1[0] > (double)t && pos1[1] > (double)t)) {
                    rem[i]=true;
                }
    
                else {
                    pos1[0]=max(pos1[0], (long double)0.0);
                    pos1[1]=min(pos1[1], (long double)t);
                    if (pos1[0] == 0.0 && pos1[1] == t) {
                        all=true;
                        break;
                    }

                    start.push_back(pos1);
                }
            }
    
            i++;
        }

        if (all) {
            r=m;
            continue;
        }
    
        start.push_back({0.0, 0.0});
        start.push_back({(double)t,(double)t});
    
        sort(start.begin(),start.end());

        // cout<<m<<" "<<l<<" "<<r<<"\n";
        // for (auto &x:start) {
        //     cout<<x[0]<<" "<<x[1]<<"\n";
        // }
        // cout<<"\n";
        // for (auto &x:v) {
        //     cout<<x[0]<<" "<<x[1]<<"\n";
        // }
        // cout<<"\n\n";

    
        array<long double,2> pos={0.0, 0.0};
        bool possible=true;
    
        for (auto &x:start) {
            if (x[0] <= pos[1]) {
                pos[1]=max(pos[1], x[1]);
            }
    
            else {
                possible=false;
                break;
            }
        }
    
        if (possible) {
            r=m;
            int cnt=0;
            int pt=0;
            for (int i=0;i<n;i++) {
                if (rem[i]) {
                    cnt++;
                }
                
                else if (cnt != 0) {
                    swap(v[i], v[pt]);
                }
    
                if (!rem[i]) {
                    pt++;
                }
            }
    
            n -= cnt;
    
            while (v.size() != n){
                v.pop_back();
                rem.pop_back();
            }
    
            for (int i=0;i<n;i++) {
                rem[i]=false;
            }
        }
    
        else {
            l=m;
            for (i=0;i<n;i++) {
                rem[i]=false;
            }
        }
    }
    cout<<r<<"\n";
}

Compilation message

mobile.cpp: In function 'int main()':
mobile.cpp:140:29: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<long int, 2> >::size_type' {aka 'long unsigned int'} and 'int64_t' {aka 'long int'} [-Wsign-compare]
  140 |             while (v.size() != n){
      |                    ~~~~~~~~~^~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 6 ms 812 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 3 ms 604 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 756 KB Output is correct
2 Correct 17 ms 1128 KB Output is correct
3 Correct 11 ms 904 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 18 ms 1112 KB Output is correct
3 Correct 11 ms 912 KB Output is correct
4 Correct 2 ms 592 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 856 KB Output is correct
2 Correct 18 ms 1120 KB Output is correct
3 Correct 12 ms 916 KB Output is correct
4 Correct 2 ms 620 KB Output is correct
5 Correct 1 ms 604 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 6972 KB Output is correct
2 Correct 438 ms 11636 KB Output is correct
3 Correct 175 ms 6008 KB Output is correct
4 Correct 23 ms 5064 KB Output is correct
5 Correct 8 ms 2272 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 3548 KB Output is correct
2 Correct 15 ms 3800 KB Output is correct
3 Correct 18 ms 4792 KB Output is correct
4 Correct 18 ms 5080 KB Output is correct
5 Correct 22 ms 5336 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 463 ms 11856 KB Output is correct
2 Correct 466 ms 11348 KB Output is correct
3 Correct 360 ms 8092 KB Output is correct
4 Correct 25 ms 6100 KB Output is correct
5 Correct 17 ms 4308 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 545 ms 12812 KB Output is correct
2 Correct 615 ms 12436 KB Output is correct
3 Correct 425 ms 12612 KB Output is correct
4 Correct 25 ms 6184 KB Output is correct
5 Correct 22 ms 5608 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 201 ms 8888 KB Output is correct
2 Correct 600 ms 13216 KB Output is correct
3 Correct 457 ms 12180 KB Output is correct
4 Correct 30 ms 6092 KB Output is correct
5 Correct 21 ms 5588 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1048 ms 52128 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 1103 ms 55824 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 1018 ms 75236 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 1010 ms 79456 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 1039 ms 78940 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 1073 ms 82616 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 1084 ms 84632 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 1025 ms 87784 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 1041 ms 89272 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 1083 ms 95392 KB Time limit exceeded
2 Halted 0 ms 0 KB -