oj.uz

Submission #1076379

# Submission time Handle Problem Language Result Execution time Memory
1076379 2024-08-26T13:24:59 Z anton Portal (BOI24_portal) C++17
100 / 100
 110 ms 3412 KB 
#include<bits/stdc++.h>

using namespace std;
#define int long long
#define pii pair<int, int>
#define P complex<int>
int N;

int cross(P a, P b){
    return (a * conj(b)).imag();
}

vector<int> vec(P p){
    return {p.real(), p.imag()};
}


void cancel(P& a, P& b, int dim){
    if(vec(b)[dim] == 0){
        return;
    }
    if(vec(a)[dim] == 0){
        swap(a, b);
        return;
    }
    int nb_in = vec(b)[dim]/vec(a)[dim];
    b -= nb_in *a;
    swap(a, b);
    cancel(a, b, dim);
    
}

void reduce_dim(P& a, P& b, int dim){
    int nb_in = vec(b)[dim]/vec(a)[dim];
    b -= nb_in *a;
}
void compress_all(vector<P>& v){
    vector<P> res;
    for(int dim = 0; dim<2; dim++){
        int cur_c = dim;
        for(int i = dim; i<v.size(); i++){
            if(vec(v[i])[dim] != 0){
                cur_c = i;
            }
        }
        if(vec(v[cur_c])[dim]==0){
            continue;
        }
        swap(v[dim], v[cur_c]);

        for(int i = dim+1; i<v.size(); i++){
            cancel(v[dim], v[i], dim);
        }
        res.push_back(v[dim]);
    }
    reduce_dim(res[1], res[0], 1);
    v = res;
}

void compress_last(vector<P>& v){
    vector<P> res;
    for(int dim = 0; dim<2; dim++){
        cancel(v[dim], v[2], dim);
        res.push_back(v[dim]);
    }

    reduce_dim(res[1], res[0], 1);
    v = res;
}

signed main(){
    cin>>N;

    vector<P> portals(N);

    for(int i = 0; i<N; i++){
        pii pos;
        cin>>pos.first>>pos.second;
        portals[i] = {pos.first, pos.second};
    }

    P origin = portals.back();
    for(P& portal: portals){
        portal -= origin;
    }
    portals.pop_back();

    vector<P> base = {portals[0]};

    for(auto e: portals){
        if(cross(e, base[0])!=0){
            base.push_back(e);
            break;
        }
    }



    if(N<3|| base.size()<2){
        cout<<-1<<endl;
        return 0;
    }
    
    compress_all(base);
    for(auto e: portals){
        base.push_back(e);
        compress_last(base);
    }

    cout<<abs(cross(base[0], base[1]))<<endl;
    
}

Compilation message

Main.cpp: In function 'void compress_all(std::vector<std::complex<long long int> >&)':
Main.cpp:41:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::complex<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |         for(int i = dim; i<v.size(); i++){
      |                          ~^~~~~~~~~
Main.cpp:51:29: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::complex<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |         for(int i = dim+1; i<v.size(); i++){
      |                            ~^~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 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
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 360 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 600 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 360 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 600 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 392 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 61 ms 1988 KB Output is correct
3 Correct 101 ms 1884 KB Output is correct
4 Correct 91 ms 1984 KB Output is correct
5 Correct 64 ms 1884 KB Output is correct
6 Correct 110 ms 1884 KB Output is correct
7 Correct 70 ms 1884 KB Output is correct
8 Correct 58 ms 1884 KB Output is correct
9 Correct 45 ms 1884 KB Output is correct
10 Correct 58 ms 1884 KB Output is correct
11 Correct 62 ms 1888 KB Output is correct
12 Correct 97 ms 1980 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 65 ms 1884 KB Output is correct
15 Correct 72 ms 1884 KB Output is correct
16 Correct 61 ms 3276 KB Output is correct
17 Correct 74 ms 3408 KB Output is correct
18 Correct 106 ms 3380 KB Output is correct
19 Correct 74 ms 3320 KB Output is correct
20 Correct 73 ms 3396 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 436 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 432 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 436 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 376 KB Output is correct
40 Correct 1 ms 348 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 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
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 360 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 600 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 392 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 1 ms 344 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 344 KB Output is correct
65 Correct 1 ms 348 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 1 ms 436 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 1 ms 432 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 1 ms 436 KB Output is correct
74 Correct 1 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 0 ms 348 KB Output is correct
78 Correct 0 ms 376 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 3 ms 348 KB Output is correct
81 Correct 2 ms 348 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 1 ms 348 KB Output is correct
85 Correct 2 ms 464 KB Output is correct
86 Correct 1 ms 448 KB Output is correct
87 Correct 1 ms 348 KB Output is correct
88 Correct 0 ms 348 KB Output is correct
89 Correct 2 ms 344 KB Output is correct
90 Correct 3 ms 348 KB Output is correct
91 Correct 2 ms 452 KB Output is correct
92 Correct 3 ms 344 KB Output is correct
93 Correct 2 ms 344 KB Output is correct
94 Correct 2 ms 476 KB Output is correct
95 Correct 2 ms 348 KB Output is correct
96 Correct 2 ms 604 KB Output is correct
97 Correct 2 ms 348 KB Output is correct
98 Correct 3 ms 348 KB Output is correct
99 Correct 2 ms 344 KB Output is correct
100 Correct 1 ms 348 KB Output is correct
101 Correct 2 ms 348 KB Output is correct
102 Correct 1 ms 348 KB Output is correct
103 Correct 3 ms 348 KB Output is correct
104 Correct 1 ms 348 KB Output is correct
105 Correct 2 ms 348 KB Output is correct
106 Correct 2 ms 348 KB Output is correct
107 Correct 2 ms 344 KB Output is correct
108 Correct 2 ms 344 KB Output is correct
109 Correct 2 ms 348 KB Output is correct
110 Correct 1 ms 348 KB Output is correct
111 Correct 0 ms 596 KB Output is correct
112 Correct 0 ms 348 KB Output is correct
113 Correct 0 ms 440 KB Output is correct
114 Correct 3 ms 344 KB Output is correct
115 Correct 2 ms 344 KB Output is correct
116 Correct 2 ms 348 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 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
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 360 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 600 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 392 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 61 ms 1988 KB Output is correct
42 Correct 101 ms 1884 KB Output is correct
43 Correct 91 ms 1984 KB Output is correct
44 Correct 64 ms 1884 KB Output is correct
45 Correct 110 ms 1884 KB Output is correct
46 Correct 70 ms 1884 KB Output is correct
47 Correct 58 ms 1884 KB Output is correct
48 Correct 45 ms 1884 KB Output is correct
49 Correct 58 ms 1884 KB Output is correct
50 Correct 62 ms 1888 KB Output is correct
51 Correct 97 ms 1980 KB Output is correct
52 Correct 0 ms 344 KB Output is correct
53 Correct 65 ms 1884 KB Output is correct
54 Correct 72 ms 1884 KB Output is correct
55 Correct 61 ms 3276 KB Output is correct
56 Correct 74 ms 3408 KB Output is correct
57 Correct 106 ms 3380 KB Output is correct
58 Correct 74 ms 3320 KB Output is correct
59 Correct 73 ms 3396 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1 ms 344 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 1 ms 348 KB Output is correct
76 Correct 1 ms 348 KB Output is correct
77 Correct 1 ms 348 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct
81 Correct 1 ms 348 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 1 ms 344 KB Output is correct
85 Correct 1 ms 348 KB Output is correct
86 Correct 1 ms 604 KB Output is correct
87 Correct 1 ms 436 KB Output is correct
88 Correct 1 ms 348 KB Output is correct
89 Correct 1 ms 432 KB Output is correct
90 Correct 0 ms 348 KB Output is correct
91 Correct 1 ms 348 KB Output is correct
92 Correct 1 ms 348 KB Output is correct
93 Correct 1 ms 436 KB Output is correct
94 Correct 1 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 0 ms 348 KB Output is correct
98 Correct 0 ms 376 KB Output is correct
99 Correct 1 ms 348 KB Output is correct
100 Correct 3 ms 348 KB Output is correct
101 Correct 2 ms 348 KB Output is correct
102 Correct 1 ms 348 KB Output is correct
103 Correct 1 ms 348 KB Output is correct
104 Correct 1 ms 348 KB Output is correct
105 Correct 2 ms 464 KB Output is correct
106 Correct 1 ms 448 KB Output is correct
107 Correct 1 ms 348 KB Output is correct
108 Correct 0 ms 348 KB Output is correct
109 Correct 2 ms 344 KB Output is correct
110 Correct 3 ms 348 KB Output is correct
111 Correct 2 ms 452 KB Output is correct
112 Correct 3 ms 344 KB Output is correct
113 Correct 2 ms 344 KB Output is correct
114 Correct 2 ms 476 KB Output is correct
115 Correct 2 ms 348 KB Output is correct
116 Correct 2 ms 604 KB Output is correct
117 Correct 2 ms 348 KB Output is correct
118 Correct 3 ms 348 KB Output is correct
119 Correct 2 ms 344 KB Output is correct
120 Correct 1 ms 348 KB Output is correct
121 Correct 2 ms 348 KB Output is correct
122 Correct 1 ms 348 KB Output is correct
123 Correct 3 ms 348 KB Output is correct
124 Correct 1 ms 348 KB Output is correct
125 Correct 2 ms 348 KB Output is correct
126 Correct 2 ms 348 KB Output is correct
127 Correct 2 ms 344 KB Output is correct
128 Correct 2 ms 344 KB Output is correct
129 Correct 2 ms 348 KB Output is correct
130 Correct 1 ms 348 KB Output is correct
131 Correct 0 ms 596 KB Output is correct
132 Correct 0 ms 348 KB Output is correct
133 Correct 0 ms 440 KB Output is correct
134 Correct 3 ms 344 KB Output is correct
135 Correct 2 ms 344 KB Output is correct
136 Correct 2 ms 348 KB Output is correct
137 Correct 65 ms 3140 KB Output is correct
138 Correct 64 ms 3164 KB Output is correct
139 Correct 103 ms 3404 KB Output is correct
140 Correct 66 ms 3240 KB Output is correct
141 Correct 94 ms 3152 KB Output is correct
142 Correct 4 ms 604 KB Output is correct
143 Correct 3 ms 604 KB Output is correct
144 Correct 4 ms 604 KB Output is correct
145 Correct 6 ms 604 KB Output is correct
146 Correct 7 ms 604 KB Output is correct
147 Correct 7 ms 704 KB Output is correct
148 Correct 0 ms 348 KB Output is correct
149 Correct 63 ms 3152 KB Output is correct
150 Correct 58 ms 3156 KB Output is correct
151 Correct 62 ms 3392 KB Output is correct
152 Correct 69 ms 3156 KB Output is correct
153 Correct 71 ms 3156 KB Output is correct
154 Correct 62 ms 3412 KB Output is correct
155 Correct 95 ms 3248 KB Output is correct
156 Correct 64 ms 3160 KB Output is correct
157 Correct 83 ms 3112 KB Output is correct
158 Correct 67 ms 3004 KB Output is correct
159 Correct 54 ms 2908 KB Output is correct
160 Correct 62 ms 3148 KB Output is correct
161 Correct 58 ms 3164 KB Output is correct
162 Correct 90 ms 3152 KB Output is correct
163 Correct 67 ms 2980 KB Output is correct
164 Correct 63 ms 3052 KB Output is correct
165 Correct 63 ms 2996 KB Output is correct
166 Correct 65 ms 2928 KB Output is correct
167 Correct 88 ms 3156 KB Output is correct
168 Correct 55 ms 2792 KB Output is correct
169 Correct 62 ms 2832 KB Output is correct
170 Correct 61 ms 2908 KB Output is correct
171 Correct 0 ms 348 KB Output is correct
172 Correct 1 ms 348 KB Output is correct
173 Correct 0 ms 600 KB Output is correct