Submission #994747

# Submission time Handle Problem Language Result Execution time Memory
994747 2024-06-08T04:50:31 Z PenguinsAreCute Portal (BOI24_portal) C++17
100 / 100
95 ms 6600 KB
// yay linear algebra!
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int SQDET = 2828432;
bool pr[SQDET];
vector<int> primes;
int test(int x[], int y[], int n, int p) {
	// test against the guy with gcd with lowest vp.
	pair<int,int> l = {100,0};
	for(int i=1;i<n;i++) {
		int g = __gcd(x[i],y[i]), c = 0;
		while((!(g%p)) && c<100) g/=p, c++;
		l=min(l,{c,i});
	}
	int g = 0;
	for(int i=1;i<n;i++) g=__gcd(g,x[i]*y[l.second]-x[l.second]*y[i]);
	int c = 0; while(!(g%p)) g/=p,c++;
	return c;
}
main() {
	fill(pr,pr+SQDET,1);
	for(int i=2;i<SQDET;i++) if(pr[i]) {
		primes.push_back(i);
		for(int j=i*i;j<SQDET;j+=i) pr[j]=0;
	}
	int n; cin >> n;
	int x[n], y[n]; for(int i=0;i<n;i++) cin>>x[i]>>y[i];
	for(int i=1;i<n;i++) x[i]-=x[0],y[i]-=y[0];
	int g=0; for(int i=2;i<n;i++) g=__gcd(g,x[1]*y[i]-x[i]*y[1]);
	if(!g) {cout<<-1; return 0;}
	if(g<0) g=-g;
	int ans = 1;
	for(auto i: primes) if(!(g%i)) {
		int k = test(x,y,n,i);
		while(k--) ans *= i;
		while(!(g%i)) g/=i;
	}
	if(g>1 && test(x,y,n,g)) ans *= g;
	cout << ans;
}

Compilation message

Main.cpp:21:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   21 | main() {
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 16 ms 5324 KB Output is correct
2 Correct 10 ms 5324 KB Output is correct
3 Correct 13 ms 5328 KB Output is correct
4 Correct 11 ms 5328 KB Output is correct
5 Correct 16 ms 5256 KB Output is correct
6 Correct 10 ms 5328 KB Output is correct
7 Correct 10 ms 5148 KB Output is correct
8 Correct 10 ms 5248 KB Output is correct
9 Correct 10 ms 5364 KB Output is correct
10 Correct 16 ms 5328 KB Output is correct
11 Correct 10 ms 5328 KB Output is correct
12 Correct 16 ms 5328 KB Output is correct
13 Correct 16 ms 5328 KB Output is correct
14 Correct 15 ms 5328 KB Output is correct
15 Correct 10 ms 5368 KB Output is correct
16 Correct 10 ms 5364 KB Output is correct
17 Correct 11 ms 5328 KB Output is correct
18 Correct 10 ms 5328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 5324 KB Output is correct
2 Correct 10 ms 5324 KB Output is correct
3 Correct 13 ms 5328 KB Output is correct
4 Correct 11 ms 5328 KB Output is correct
5 Correct 16 ms 5256 KB Output is correct
6 Correct 10 ms 5328 KB Output is correct
7 Correct 10 ms 5148 KB Output is correct
8 Correct 10 ms 5248 KB Output is correct
9 Correct 10 ms 5364 KB Output is correct
10 Correct 16 ms 5328 KB Output is correct
11 Correct 10 ms 5328 KB Output is correct
12 Correct 16 ms 5328 KB Output is correct
13 Correct 16 ms 5328 KB Output is correct
14 Correct 15 ms 5328 KB Output is correct
15 Correct 10 ms 5368 KB Output is correct
16 Correct 10 ms 5364 KB Output is correct
17 Correct 11 ms 5328 KB Output is correct
18 Correct 10 ms 5328 KB Output is correct
19 Correct 11 ms 5328 KB Output is correct
20 Correct 16 ms 5328 KB Output is correct
21 Correct 10 ms 5328 KB Output is correct
22 Correct 15 ms 5368 KB Output is correct
23 Correct 10 ms 5328 KB Output is correct
24 Correct 10 ms 5328 KB Output is correct
25 Correct 13 ms 5328 KB Output is correct
26 Correct 11 ms 5360 KB Output is correct
27 Correct 11 ms 5324 KB Output is correct
28 Correct 11 ms 5196 KB Output is correct
29 Correct 12 ms 5168 KB Output is correct
30 Correct 11 ms 5328 KB Output is correct
31 Correct 10 ms 5328 KB Output is correct
32 Correct 11 ms 5204 KB Output is correct
33 Correct 12 ms 5328 KB Output is correct
34 Correct 17 ms 5364 KB Output is correct
35 Correct 13 ms 5328 KB Output is correct
36 Correct 16 ms 5392 KB Output is correct
37 Correct 10 ms 5328 KB Output is correct
38 Correct 17 ms 5316 KB Output is correct
39 Correct 12 ms 5328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 5328 KB Output is correct
2 Correct 77 ms 6348 KB Output is correct
3 Correct 92 ms 6348 KB Output is correct
4 Correct 77 ms 6348 KB Output is correct
5 Correct 75 ms 6348 KB Output is correct
6 Correct 88 ms 6348 KB Output is correct
7 Correct 50 ms 6384 KB Output is correct
8 Correct 50 ms 6348 KB Output is correct
9 Correct 65 ms 6344 KB Output is correct
10 Correct 82 ms 6348 KB Output is correct
11 Correct 69 ms 6344 KB Output is correct
12 Correct 95 ms 6344 KB Output is correct
13 Correct 10 ms 5328 KB Output is correct
14 Correct 65 ms 6384 KB Output is correct
15 Correct 63 ms 6344 KB Output is correct
16 Correct 75 ms 6484 KB Output is correct
17 Correct 82 ms 6348 KB Output is correct
18 Correct 85 ms 6344 KB Output is correct
19 Correct 81 ms 6348 KB Output is correct
20 Correct 84 ms 6348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 5324 KB Output is correct
2 Correct 10 ms 5328 KB Output is correct
3 Correct 10 ms 5364 KB Output is correct
4 Correct 10 ms 5328 KB Output is correct
5 Correct 11 ms 5324 KB Output is correct
6 Correct 11 ms 5328 KB Output is correct
7 Correct 13 ms 5328 KB Output is correct
8 Correct 10 ms 5324 KB Output is correct
9 Correct 12 ms 5356 KB Output is correct
10 Correct 10 ms 5328 KB Output is correct
11 Correct 9 ms 5360 KB Output is correct
12 Correct 10 ms 5328 KB Output is correct
13 Correct 10 ms 5328 KB Output is correct
14 Correct 11 ms 5192 KB Output is correct
15 Correct 10 ms 5160 KB Output is correct
16 Correct 10 ms 5324 KB Output is correct
17 Correct 10 ms 5324 KB Output is correct
18 Correct 13 ms 5324 KB Output is correct
19 Correct 10 ms 5328 KB Output is correct
20 Correct 11 ms 5360 KB Output is correct
21 Correct 10 ms 5328 KB Output is correct
22 Correct 12 ms 5324 KB Output is correct
23 Correct 11 ms 5348 KB Output is correct
24 Correct 11 ms 5328 KB Output is correct
25 Correct 10 ms 5580 KB Output is correct
26 Correct 10 ms 5328 KB Output is correct
27 Correct 10 ms 5324 KB Output is correct
28 Correct 13 ms 5360 KB Output is correct
29 Correct 10 ms 5328 KB Output is correct
30 Correct 10 ms 5360 KB Output is correct
31 Correct 10 ms 5324 KB Output is correct
32 Correct 11 ms 5328 KB Output is correct
33 Correct 10 ms 5328 KB Output is correct
34 Correct 11 ms 5328 KB Output is correct
35 Correct 10 ms 5328 KB Output is correct
36 Correct 14 ms 5208 KB Output is correct
37 Correct 10 ms 5580 KB Output is correct
38 Correct 10 ms 5328 KB Output is correct
39 Correct 11 ms 5328 KB Output is correct
40 Correct 10 ms 5328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 5324 KB Output is correct
2 Correct 10 ms 5324 KB Output is correct
3 Correct 13 ms 5328 KB Output is correct
4 Correct 11 ms 5328 KB Output is correct
5 Correct 16 ms 5256 KB Output is correct
6 Correct 10 ms 5328 KB Output is correct
7 Correct 10 ms 5148 KB Output is correct
8 Correct 10 ms 5248 KB Output is correct
9 Correct 10 ms 5364 KB Output is correct
10 Correct 16 ms 5328 KB Output is correct
11 Correct 10 ms 5328 KB Output is correct
12 Correct 16 ms 5328 KB Output is correct
13 Correct 16 ms 5328 KB Output is correct
14 Correct 15 ms 5328 KB Output is correct
15 Correct 10 ms 5368 KB Output is correct
16 Correct 10 ms 5364 KB Output is correct
17 Correct 11 ms 5328 KB Output is correct
18 Correct 10 ms 5328 KB Output is correct
19 Correct 11 ms 5328 KB Output is correct
20 Correct 16 ms 5328 KB Output is correct
21 Correct 10 ms 5328 KB Output is correct
22 Correct 15 ms 5368 KB Output is correct
23 Correct 10 ms 5328 KB Output is correct
24 Correct 10 ms 5328 KB Output is correct
25 Correct 13 ms 5328 KB Output is correct
26 Correct 11 ms 5360 KB Output is correct
27 Correct 11 ms 5324 KB Output is correct
28 Correct 11 ms 5196 KB Output is correct
29 Correct 12 ms 5168 KB Output is correct
30 Correct 11 ms 5328 KB Output is correct
31 Correct 10 ms 5328 KB Output is correct
32 Correct 11 ms 5204 KB Output is correct
33 Correct 12 ms 5328 KB Output is correct
34 Correct 17 ms 5364 KB Output is correct
35 Correct 13 ms 5328 KB Output is correct
36 Correct 16 ms 5392 KB Output is correct
37 Correct 10 ms 5328 KB Output is correct
38 Correct 17 ms 5316 KB Output is correct
39 Correct 12 ms 5328 KB Output is correct
40 Correct 10 ms 5324 KB Output is correct
41 Correct 10 ms 5328 KB Output is correct
42 Correct 10 ms 5364 KB Output is correct
43 Correct 10 ms 5328 KB Output is correct
44 Correct 11 ms 5324 KB Output is correct
45 Correct 11 ms 5328 KB Output is correct
46 Correct 13 ms 5328 KB Output is correct
47 Correct 10 ms 5324 KB Output is correct
48 Correct 12 ms 5356 KB Output is correct
49 Correct 10 ms 5328 KB Output is correct
50 Correct 9 ms 5360 KB Output is correct
51 Correct 10 ms 5328 KB Output is correct
52 Correct 10 ms 5328 KB Output is correct
53 Correct 11 ms 5192 KB Output is correct
54 Correct 10 ms 5160 KB Output is correct
55 Correct 10 ms 5324 KB Output is correct
56 Correct 10 ms 5324 KB Output is correct
57 Correct 13 ms 5324 KB Output is correct
58 Correct 10 ms 5328 KB Output is correct
59 Correct 11 ms 5360 KB Output is correct
60 Correct 10 ms 5328 KB Output is correct
61 Correct 12 ms 5324 KB Output is correct
62 Correct 11 ms 5348 KB Output is correct
63 Correct 11 ms 5328 KB Output is correct
64 Correct 10 ms 5580 KB Output is correct
65 Correct 10 ms 5328 KB Output is correct
66 Correct 10 ms 5324 KB Output is correct
67 Correct 13 ms 5360 KB Output is correct
68 Correct 10 ms 5328 KB Output is correct
69 Correct 10 ms 5360 KB Output is correct
70 Correct 10 ms 5324 KB Output is correct
71 Correct 11 ms 5328 KB Output is correct
72 Correct 10 ms 5328 KB Output is correct
73 Correct 11 ms 5328 KB Output is correct
74 Correct 10 ms 5328 KB Output is correct
75 Correct 14 ms 5208 KB Output is correct
76 Correct 10 ms 5580 KB Output is correct
77 Correct 10 ms 5328 KB Output is correct
78 Correct 11 ms 5328 KB Output is correct
79 Correct 10 ms 5328 KB Output is correct
80 Correct 11 ms 5364 KB Output is correct
81 Correct 11 ms 5328 KB Output is correct
82 Correct 10 ms 5328 KB Output is correct
83 Correct 15 ms 5328 KB Output is correct
84 Correct 12 ms 5328 KB Output is correct
85 Correct 11 ms 5328 KB Output is correct
86 Correct 11 ms 5328 KB Output is correct
87 Correct 11 ms 5328 KB Output is correct
88 Correct 12 ms 5328 KB Output is correct
89 Correct 11 ms 5328 KB Output is correct
90 Correct 11 ms 5376 KB Output is correct
91 Correct 11 ms 5324 KB Output is correct
92 Correct 11 ms 5328 KB Output is correct
93 Correct 11 ms 5360 KB Output is correct
94 Correct 11 ms 5164 KB Output is correct
95 Correct 11 ms 5328 KB Output is correct
96 Correct 12 ms 5364 KB Output is correct
97 Correct 11 ms 5328 KB Output is correct
98 Correct 11 ms 5328 KB Output is correct
99 Correct 13 ms 5292 KB Output is correct
100 Correct 11 ms 5324 KB Output is correct
101 Correct 12 ms 5328 KB Output is correct
102 Correct 11 ms 5348 KB Output is correct
103 Correct 12 ms 5280 KB Output is correct
104 Correct 11 ms 5576 KB Output is correct
105 Correct 12 ms 5328 KB Output is correct
106 Correct 11 ms 5328 KB Output is correct
107 Correct 11 ms 5268 KB Output is correct
108 Correct 11 ms 5364 KB Output is correct
109 Correct 11 ms 5328 KB Output is correct
110 Correct 11 ms 5368 KB Output is correct
111 Correct 11 ms 5328 KB Output is correct
112 Correct 11 ms 5328 KB Output is correct
113 Correct 11 ms 5328 KB Output is correct
114 Correct 12 ms 5328 KB Output is correct
115 Correct 12 ms 5328 KB Output is correct
116 Correct 11 ms 5324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 5324 KB Output is correct
2 Correct 10 ms 5324 KB Output is correct
3 Correct 13 ms 5328 KB Output is correct
4 Correct 11 ms 5328 KB Output is correct
5 Correct 16 ms 5256 KB Output is correct
6 Correct 10 ms 5328 KB Output is correct
7 Correct 10 ms 5148 KB Output is correct
8 Correct 10 ms 5248 KB Output is correct
9 Correct 10 ms 5364 KB Output is correct
10 Correct 16 ms 5328 KB Output is correct
11 Correct 10 ms 5328 KB Output is correct
12 Correct 16 ms 5328 KB Output is correct
13 Correct 16 ms 5328 KB Output is correct
14 Correct 15 ms 5328 KB Output is correct
15 Correct 10 ms 5368 KB Output is correct
16 Correct 10 ms 5364 KB Output is correct
17 Correct 11 ms 5328 KB Output is correct
18 Correct 10 ms 5328 KB Output is correct
19 Correct 11 ms 5328 KB Output is correct
20 Correct 16 ms 5328 KB Output is correct
21 Correct 10 ms 5328 KB Output is correct
22 Correct 15 ms 5368 KB Output is correct
23 Correct 10 ms 5328 KB Output is correct
24 Correct 10 ms 5328 KB Output is correct
25 Correct 13 ms 5328 KB Output is correct
26 Correct 11 ms 5360 KB Output is correct
27 Correct 11 ms 5324 KB Output is correct
28 Correct 11 ms 5196 KB Output is correct
29 Correct 12 ms 5168 KB Output is correct
30 Correct 11 ms 5328 KB Output is correct
31 Correct 10 ms 5328 KB Output is correct
32 Correct 11 ms 5204 KB Output is correct
33 Correct 12 ms 5328 KB Output is correct
34 Correct 17 ms 5364 KB Output is correct
35 Correct 13 ms 5328 KB Output is correct
36 Correct 16 ms 5392 KB Output is correct
37 Correct 10 ms 5328 KB Output is correct
38 Correct 17 ms 5316 KB Output is correct
39 Correct 12 ms 5328 KB Output is correct
40 Correct 10 ms 5328 KB Output is correct
41 Correct 77 ms 6348 KB Output is correct
42 Correct 92 ms 6348 KB Output is correct
43 Correct 77 ms 6348 KB Output is correct
44 Correct 75 ms 6348 KB Output is correct
45 Correct 88 ms 6348 KB Output is correct
46 Correct 50 ms 6384 KB Output is correct
47 Correct 50 ms 6348 KB Output is correct
48 Correct 65 ms 6344 KB Output is correct
49 Correct 82 ms 6348 KB Output is correct
50 Correct 69 ms 6344 KB Output is correct
51 Correct 95 ms 6344 KB Output is correct
52 Correct 10 ms 5328 KB Output is correct
53 Correct 65 ms 6384 KB Output is correct
54 Correct 63 ms 6344 KB Output is correct
55 Correct 75 ms 6484 KB Output is correct
56 Correct 82 ms 6348 KB Output is correct
57 Correct 85 ms 6344 KB Output is correct
58 Correct 81 ms 6348 KB Output is correct
59 Correct 84 ms 6348 KB Output is correct
60 Correct 10 ms 5324 KB Output is correct
61 Correct 10 ms 5328 KB Output is correct
62 Correct 10 ms 5364 KB Output is correct
63 Correct 10 ms 5328 KB Output is correct
64 Correct 11 ms 5324 KB Output is correct
65 Correct 11 ms 5328 KB Output is correct
66 Correct 13 ms 5328 KB Output is correct
67 Correct 10 ms 5324 KB Output is correct
68 Correct 12 ms 5356 KB Output is correct
69 Correct 10 ms 5328 KB Output is correct
70 Correct 9 ms 5360 KB Output is correct
71 Correct 10 ms 5328 KB Output is correct
72 Correct 10 ms 5328 KB Output is correct
73 Correct 11 ms 5192 KB Output is correct
74 Correct 10 ms 5160 KB Output is correct
75 Correct 10 ms 5324 KB Output is correct
76 Correct 10 ms 5324 KB Output is correct
77 Correct 13 ms 5324 KB Output is correct
78 Correct 10 ms 5328 KB Output is correct
79 Correct 11 ms 5360 KB Output is correct
80 Correct 10 ms 5328 KB Output is correct
81 Correct 12 ms 5324 KB Output is correct
82 Correct 11 ms 5348 KB Output is correct
83 Correct 11 ms 5328 KB Output is correct
84 Correct 10 ms 5580 KB Output is correct
85 Correct 10 ms 5328 KB Output is correct
86 Correct 10 ms 5324 KB Output is correct
87 Correct 13 ms 5360 KB Output is correct
88 Correct 10 ms 5328 KB Output is correct
89 Correct 10 ms 5360 KB Output is correct
90 Correct 10 ms 5324 KB Output is correct
91 Correct 11 ms 5328 KB Output is correct
92 Correct 10 ms 5328 KB Output is correct
93 Correct 11 ms 5328 KB Output is correct
94 Correct 10 ms 5328 KB Output is correct
95 Correct 14 ms 5208 KB Output is correct
96 Correct 10 ms 5580 KB Output is correct
97 Correct 10 ms 5328 KB Output is correct
98 Correct 11 ms 5328 KB Output is correct
99 Correct 10 ms 5328 KB Output is correct
100 Correct 11 ms 5364 KB Output is correct
101 Correct 11 ms 5328 KB Output is correct
102 Correct 10 ms 5328 KB Output is correct
103 Correct 15 ms 5328 KB Output is correct
104 Correct 12 ms 5328 KB Output is correct
105 Correct 11 ms 5328 KB Output is correct
106 Correct 11 ms 5328 KB Output is correct
107 Correct 11 ms 5328 KB Output is correct
108 Correct 12 ms 5328 KB Output is correct
109 Correct 11 ms 5328 KB Output is correct
110 Correct 11 ms 5376 KB Output is correct
111 Correct 11 ms 5324 KB Output is correct
112 Correct 11 ms 5328 KB Output is correct
113 Correct 11 ms 5360 KB Output is correct
114 Correct 11 ms 5164 KB Output is correct
115 Correct 11 ms 5328 KB Output is correct
116 Correct 12 ms 5364 KB Output is correct
117 Correct 11 ms 5328 KB Output is correct
118 Correct 11 ms 5328 KB Output is correct
119 Correct 13 ms 5292 KB Output is correct
120 Correct 11 ms 5324 KB Output is correct
121 Correct 12 ms 5328 KB Output is correct
122 Correct 11 ms 5348 KB Output is correct
123 Correct 12 ms 5280 KB Output is correct
124 Correct 11 ms 5576 KB Output is correct
125 Correct 12 ms 5328 KB Output is correct
126 Correct 11 ms 5328 KB Output is correct
127 Correct 11 ms 5268 KB Output is correct
128 Correct 11 ms 5364 KB Output is correct
129 Correct 11 ms 5328 KB Output is correct
130 Correct 11 ms 5368 KB Output is correct
131 Correct 11 ms 5328 KB Output is correct
132 Correct 11 ms 5328 KB Output is correct
133 Correct 11 ms 5328 KB Output is correct
134 Correct 12 ms 5328 KB Output is correct
135 Correct 12 ms 5328 KB Output is correct
136 Correct 11 ms 5324 KB Output is correct
137 Correct 66 ms 6348 KB Output is correct
138 Correct 62 ms 6348 KB Output is correct
139 Correct 69 ms 6348 KB Output is correct
140 Correct 69 ms 6344 KB Output is correct
141 Correct 67 ms 6480 KB Output is correct
142 Correct 13 ms 5328 KB Output is correct
143 Correct 12 ms 5364 KB Output is correct
144 Correct 13 ms 5328 KB Output is correct
145 Correct 15 ms 5328 KB Output is correct
146 Correct 15 ms 5328 KB Output is correct
147 Correct 14 ms 5328 KB Output is correct
148 Correct 9 ms 5328 KB Output is correct
149 Correct 61 ms 6348 KB Output is correct
150 Correct 81 ms 6348 KB Output is correct
151 Correct 64 ms 6348 KB Output is correct
152 Correct 67 ms 6384 KB Output is correct
153 Correct 63 ms 6344 KB Output is correct
154 Correct 83 ms 6348 KB Output is correct
155 Correct 75 ms 6344 KB Output is correct
156 Correct 53 ms 6348 KB Output is correct
157 Correct 58 ms 6600 KB Output is correct
158 Correct 54 ms 6348 KB Output is correct
159 Correct 51 ms 6088 KB Output is correct
160 Correct 63 ms 6348 KB Output is correct
161 Correct 53 ms 6344 KB Output is correct
162 Correct 54 ms 6348 KB Output is correct
163 Correct 62 ms 6388 KB Output is correct
164 Correct 52 ms 6092 KB Output is correct
165 Correct 52 ms 6092 KB Output is correct
166 Correct 50 ms 6088 KB Output is correct
167 Correct 57 ms 6348 KB Output is correct
168 Correct 59 ms 6132 KB Output is correct
169 Correct 51 ms 6088 KB Output is correct
170 Correct 48 ms 6092 KB Output is correct
171 Correct 10 ms 5328 KB Output is correct
172 Correct 12 ms 5328 KB Output is correct
173 Correct 11 ms 5328 KB Output is correct