#include <bits/stdc++.h>
using namespace std;
using pi = pair<int, int>;
using lint = long long;
const int MAXN = 3005;
int n;
pi a[MAXN];
pi dp[MAXN][MAXN][2];
int idx[MAXN];
struct st{
pi pnt;
int idx;
};
lint ccw(pi a, pi b, pi c){
int dx1 = b.first - a.first;
int dy1 = b.second - a.second;
int dx2 = c.first - a.first;
int dy2 = c.second - a.second;
return 1ll * dx1 * dy2 - 1ll * dy1 * dx2;
}
void trace(int x, int y, int z){
printf("%d %d\n", a[y].first, a[y].second);
if(dp[x][y][z].first == 0) return;
trace(y, dp[x][y][z].second, 1-z);
}
int main(){
cin >> n;
for(int i=0; i<n; i++) cin >> a[i].first >> a[i].second;
sort(a, a+n, [&](const pi &a, const pi &b){
return a.second < b.second;
});
sort(a+1, a+n, [&](const pi &p, const pi &q){
return ccw(a[0], p, q) > 0;
});
int grp = 1;
for(int i=1; i<n; i++){
if(ccw(a[0], a[i-1], a[i]) != 0) grp++;
idx[i] = grp;
}
for(int i=n-1; i>=1; i--){
vector<int> up, dn;
for(int j=1; j<n; j++){
if(idx[j] < idx[i]) dn.push_back(j);
if(idx[j] > idx[i]) up.push_back(j);
}
sort(up.begin(), up.end(), [&](const int &p, const int &q){
return ccw(a[i], a[p], a[q]) > 0;
});
sort(dn.begin(), dn.end(), [&](const int &p, const int &q){
return ccw(a[i], a[p], a[q]) > 0;
});
int ptr = 0;
pi curmax = pi(-1e9, -1);
for(auto &j : dn){
while(ptr < up.size() && ccw(a[j], a[i], a[up[ptr]]) < 0){
auto l = dp[i][up[ptr]][0].first + 1;
curmax = max(curmax, pi(l, up[ptr]));
ptr++;
}
dp[j][i][1]= curmax;
}
reverse(dn.begin(), dn.end());
reverse(up.begin(), up.end());
ptr = 0;
curmax = pi(0, -1);
for(auto &j : dn){
while(ptr < up.size() && ccw(a[j], a[i], a[up[ptr]]) > 0){
auto l = dp[i][up[ptr]][1].first + 1;
curmax = max(curmax, pi(l, up[ptr]));
ptr++;
}
dp[j][i][0]= curmax;
}
}
tuple<int, int, int> ans = make_tuple(-100, -1, -1);
for(int i=n-1; i>=1; i--){
for(int j=i+1; j<n; j++){
if(idx[i] == idx[j]) continue;
ans = max(ans, make_tuple(dp[i][j][1].first, i, j));
}
}
int x, y, z; tie(x, y, z) = ans;
if(x < 0){
puts("0");
return 0;
}
cout << x + 3 << endl;
printf("%d %d\n", a[0].first, a[0].second);
printf("%d %d\n", a[y].first, a[y].second);
trace(y, z, 1);
}
Compilation message
footprint.cpp: In function 'int main()':
footprint.cpp:60:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ptr < up.size() && ccw(a[j], a[i], a[up[ptr]]) < 0){
~~~~^~~~~~~~~~~
footprint.cpp:72:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ptr < up.size() && ccw(a[j], a[i], a[up[ptr]]) > 0){
~~~~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1364 ms |
69964 KB |
Output is correct |
2 |
Correct |
1445 ms |
72764 KB |
Output is correct |
3 |
Correct |
1389 ms |
72764 KB |
Output is correct |
4 |
Correct |
1135 ms |
73108 KB |
Output is correct |
5 |
Correct |
1173 ms |
73108 KB |
Output is correct |
6 |
Correct |
1242 ms |
73276 KB |
Output is correct |
7 |
Correct |
1427 ms |
73276 KB |
Output is correct |
8 |
Correct |
1482 ms |
73692 KB |
Output is correct |
9 |
Correct |
1409 ms |
73856 KB |
Output is correct |
10 |
Correct |
1423 ms |
73856 KB |
Output is correct |
11 |
Correct |
1449 ms |
73856 KB |
Output is correct |
12 |
Correct |
1475 ms |
74136 KB |
Output is correct |
13 |
Correct |
1501 ms |
75616 KB |
Output is correct |
14 |
Correct |
1455 ms |
75616 KB |
Output is correct |
15 |
Correct |
1437 ms |
75616 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
75616 KB |
Output is correct |
2 |
Correct |
4 ms |
75616 KB |
Output is correct |
3 |
Correct |
3 ms |
75616 KB |
Output is correct |
4 |
Correct |
0 ms |
75616 KB |
Output is correct |
5 |
Correct |
3 ms |
75616 KB |
Output is correct |
6 |
Correct |
3 ms |
75616 KB |
Output is correct |
7 |
Correct |
2 ms |
75616 KB |
Output is correct |
8 |
Correct |
1 ms |
75616 KB |
Output is correct |
9 |
Correct |
3 ms |
75616 KB |
Output is correct |
10 |
Correct |
3 ms |
75616 KB |
Output is correct |
11 |
Correct |
3 ms |
75616 KB |
Output is correct |
12 |
Correct |
2 ms |
75616 KB |
Output is correct |
13 |
Correct |
3 ms |
75616 KB |
Output is correct |
14 |
Correct |
3 ms |
75616 KB |
Output is correct |
15 |
Correct |
3 ms |
75616 KB |
Output is correct |
16 |
Correct |
3 ms |
75616 KB |
Output is correct |
17 |
Correct |
3 ms |
75616 KB |
Output is correct |
18 |
Correct |
3 ms |
75616 KB |
Output is correct |
19 |
Correct |
4 ms |
75616 KB |
Output is correct |
20 |
Correct |
3 ms |
75616 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
75616 KB |
Output is correct |
2 |
Correct |
4 ms |
75616 KB |
Output is correct |
3 |
Correct |
3 ms |
75616 KB |
Output is correct |
4 |
Correct |
0 ms |
75616 KB |
Output is correct |
5 |
Correct |
3 ms |
75616 KB |
Output is correct |
6 |
Correct |
3 ms |
75616 KB |
Output is correct |
7 |
Correct |
2 ms |
75616 KB |
Output is correct |
8 |
Correct |
1 ms |
75616 KB |
Output is correct |
9 |
Correct |
3 ms |
75616 KB |
Output is correct |
10 |
Correct |
3 ms |
75616 KB |
Output is correct |
11 |
Correct |
3 ms |
75616 KB |
Output is correct |
12 |
Correct |
2 ms |
75616 KB |
Output is correct |
13 |
Correct |
3 ms |
75616 KB |
Output is correct |
14 |
Correct |
3 ms |
75616 KB |
Output is correct |
15 |
Correct |
3 ms |
75616 KB |
Output is correct |
16 |
Correct |
3 ms |
75616 KB |
Output is correct |
17 |
Correct |
3 ms |
75616 KB |
Output is correct |
18 |
Correct |
3 ms |
75616 KB |
Output is correct |
19 |
Correct |
4 ms |
75616 KB |
Output is correct |
20 |
Correct |
3 ms |
75616 KB |
Output is correct |
21 |
Correct |
17 ms |
75616 KB |
Output is correct |
22 |
Correct |
17 ms |
75616 KB |
Output is correct |
23 |
Correct |
16 ms |
75616 KB |
Output is correct |
24 |
Correct |
19 ms |
75616 KB |
Output is correct |
25 |
Correct |
18 ms |
75616 KB |
Output is correct |
26 |
Correct |
19 ms |
75616 KB |
Output is correct |
27 |
Correct |
18 ms |
75616 KB |
Output is correct |
28 |
Correct |
16 ms |
75616 KB |
Output is correct |
29 |
Correct |
18 ms |
75616 KB |
Output is correct |
30 |
Correct |
21 ms |
75616 KB |
Output is correct |
31 |
Correct |
18 ms |
75616 KB |
Output is correct |
32 |
Correct |
16 ms |
75616 KB |
Output is correct |
33 |
Correct |
13 ms |
75616 KB |
Output is correct |
34 |
Correct |
11 ms |
75616 KB |
Output is correct |
35 |
Correct |
13 ms |
75616 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1364 ms |
69964 KB |
Output is correct |
2 |
Correct |
1445 ms |
72764 KB |
Output is correct |
3 |
Correct |
1389 ms |
72764 KB |
Output is correct |
4 |
Correct |
1135 ms |
73108 KB |
Output is correct |
5 |
Correct |
1173 ms |
73108 KB |
Output is correct |
6 |
Correct |
1242 ms |
73276 KB |
Output is correct |
7 |
Correct |
1427 ms |
73276 KB |
Output is correct |
8 |
Correct |
1482 ms |
73692 KB |
Output is correct |
9 |
Correct |
1409 ms |
73856 KB |
Output is correct |
10 |
Correct |
1423 ms |
73856 KB |
Output is correct |
11 |
Correct |
1449 ms |
73856 KB |
Output is correct |
12 |
Correct |
1475 ms |
74136 KB |
Output is correct |
13 |
Correct |
1501 ms |
75616 KB |
Output is correct |
14 |
Correct |
1455 ms |
75616 KB |
Output is correct |
15 |
Correct |
1437 ms |
75616 KB |
Output is correct |
16 |
Correct |
3 ms |
75616 KB |
Output is correct |
17 |
Correct |
4 ms |
75616 KB |
Output is correct |
18 |
Correct |
3 ms |
75616 KB |
Output is correct |
19 |
Correct |
0 ms |
75616 KB |
Output is correct |
20 |
Correct |
3 ms |
75616 KB |
Output is correct |
21 |
Correct |
3 ms |
75616 KB |
Output is correct |
22 |
Correct |
2 ms |
75616 KB |
Output is correct |
23 |
Correct |
1 ms |
75616 KB |
Output is correct |
24 |
Correct |
3 ms |
75616 KB |
Output is correct |
25 |
Correct |
3 ms |
75616 KB |
Output is correct |
26 |
Correct |
3 ms |
75616 KB |
Output is correct |
27 |
Correct |
2 ms |
75616 KB |
Output is correct |
28 |
Correct |
3 ms |
75616 KB |
Output is correct |
29 |
Correct |
3 ms |
75616 KB |
Output is correct |
30 |
Correct |
3 ms |
75616 KB |
Output is correct |
31 |
Correct |
3 ms |
75616 KB |
Output is correct |
32 |
Correct |
3 ms |
75616 KB |
Output is correct |
33 |
Correct |
3 ms |
75616 KB |
Output is correct |
34 |
Correct |
4 ms |
75616 KB |
Output is correct |
35 |
Correct |
3 ms |
75616 KB |
Output is correct |
36 |
Correct |
17 ms |
75616 KB |
Output is correct |
37 |
Correct |
17 ms |
75616 KB |
Output is correct |
38 |
Correct |
16 ms |
75616 KB |
Output is correct |
39 |
Correct |
19 ms |
75616 KB |
Output is correct |
40 |
Correct |
18 ms |
75616 KB |
Output is correct |
41 |
Correct |
19 ms |
75616 KB |
Output is correct |
42 |
Correct |
18 ms |
75616 KB |
Output is correct |
43 |
Correct |
16 ms |
75616 KB |
Output is correct |
44 |
Correct |
18 ms |
75616 KB |
Output is correct |
45 |
Correct |
21 ms |
75616 KB |
Output is correct |
46 |
Correct |
18 ms |
75616 KB |
Output is correct |
47 |
Correct |
16 ms |
75616 KB |
Output is correct |
48 |
Correct |
13 ms |
75616 KB |
Output is correct |
49 |
Correct |
11 ms |
75616 KB |
Output is correct |
50 |
Correct |
13 ms |
75616 KB |
Output is correct |
51 |
Correct |
1448 ms |
75616 KB |
Output is correct |
52 |
Correct |
1530 ms |
75616 KB |
Output is correct |
53 |
Correct |
1502 ms |
75752 KB |
Output is correct |
54 |
Correct |
1736 ms |
84104 KB |
Output is correct |
55 |
Correct |
1673 ms |
84120 KB |
Output is correct |
56 |
Correct |
1786 ms |
84176 KB |
Output is correct |
57 |
Correct |
1787 ms |
84176 KB |
Output is correct |
58 |
Correct |
1693 ms |
84176 KB |
Output is correct |
59 |
Correct |
1643 ms |
84212 KB |
Output is correct |
60 |
Correct |
1610 ms |
84324 KB |
Output is correct |
61 |
Correct |
1605 ms |
84500 KB |
Output is correct |
62 |
Correct |
1593 ms |
84500 KB |
Output is correct |
63 |
Correct |
773 ms |
84500 KB |
Output is correct |
64 |
Correct |
831 ms |
84500 KB |
Output is correct |
65 |
Correct |
700 ms |
84592 KB |
Output is correct |
66 |
Correct |
1026 ms |
84592 KB |
Output is correct |
67 |
Correct |
967 ms |
84592 KB |
Output is correct |
68 |
Correct |
1022 ms |
84672 KB |
Output is correct |