// #pragma GCC optimize ("Ofast")
// #pragma GCC target ("avx2")
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug.h>
#else
#define debug(...)
#endif
#define ft front
#define bk back
#define st first
#define nd second
#define ins insert
#define ers erase
#define pb push_back
#define pf push_front
#define _pb pop_back
#define _pf pop_front
#define lb lower_bound
#define ub upper_bound
#define mtp make_tuple
#define bg begin
#define ed end
#define all(x) (x).bg(), (x).ed()
#define sz(x) (int)(x).size()
// #define int long long
typedef long long ll; typedef unsigned long long ull;
typedef double db; typedef long double ldb;
typedef pair<int, int> pi; typedef pair<ll, ll> pll;
typedef vector<int> vi; typedef vector<ll> vll; typedef vector<pi> vpi; typedef vector<pll> vpll;
typedef string str;
#define FOR(i, l, r) for (int i = (l); i <= (r); ++i)
#define FOS(i, r, l) for (int i = (r); i >= (l); --i)
#define FRN(i, n) for (int i = 0; i < (n); ++i)
#define FSN(i, n) for (int i = (n) - 1; i >= 0; --i)
#define EACH(i, x) for (auto &i : (x))
#define WHILE while
template<typename T> T gcd(T a, T b) { T d2 = (a | b) & -(a | b); a /= d2; b /= d2; WHILE(b) { a = a % b; swap(a, b); } return a * d2; }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
void _assert(bool statement) { if (statement) return; cerr << "\n>> Assertion failed!\n"; exit(0); }
void _assert(bool statement, const str &message) { if (statement) return; cerr << "\n>> Assertion failed: " << message << '\n'; exit(0); }
void _error(const str &message) { cerr << "\n>> Error: " << message << '\n'; exit(0); }
#define file "TEST"
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rd); }
/*
----------------------------------------------------------------
END OF TEMPLATE
----------------------------------------------------------------
Tran The Bao - ghostwriter
Training for VOI23 gold medal
----------------------------------------------------------------
GOAT
----------------------------------------------------------------
*/
const int N = 1e5 + 5;
int n;
pi a[N];
void input(int test_id) {
cin >> n;
FOR(i, 1, n << 1) cin >> a[i].st >> a[i].nd;
}
ll cost(const pi &a, const pi &b) { return 1LL * abs(a.st - b.st) + abs(a.nd - b.nd); }
namespace subtask12 {
const ll oo = 1e18;
const int N = 2005;
ll d[N][N];
void solve() {
n <<= 1;
sort(a + 1, a + 1 + n);
FOS(i, n, 1)
FOS(j, n >> 1, 0) {
d[i][j] = oo;
if (j < n / 2) d[i][j] = min(d[i][j], d[i + 1][j + 1] + cost(a[i], {j + 1, 1}));
if (i - 1 - j < n / 2) d[i][j] = min(d[i][j], d[i + 1][j] + cost(a[i], {i - j, 2}));
}
cout << d[1][0];
}
}
void solve(int test_id) {
if (n <= 1000) {
subtask12::solve();
return;
}
}
void reinit(int test_id) {
}
signed main() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
// freopen(file".inp", "r", stdin);
// freopen(file".out", "w", stdout);
int test_num = 1;
// cin >> test_num; // comment if the problem does not requires multitest
FOR(i, 1, test_num) {
input(i); // input in noninteractive problems for case #i
solve(i); // main function to solve case #i
reinit(i); // reinit global data to default used in case #i
}
#ifdef LOCAL
cerr << "\nTime: " << setprecision(5) << fixed << (ldb)clock() / CLOCKS_PER_SEC << "ms.\n";
#endif
return 0;
}
/*
----------------------------------------------------------------
From Benq:
stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
----------------------------------------------------------------
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
336 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
420 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
336 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
420 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
20 ms |
24024 KB |
Output is correct |
35 |
Correct |
18 ms |
24068 KB |
Output is correct |
36 |
Correct |
18 ms |
24020 KB |
Output is correct |
37 |
Correct |
19 ms |
24052 KB |
Output is correct |
38 |
Correct |
20 ms |
24020 KB |
Output is correct |
39 |
Correct |
23 ms |
24020 KB |
Output is correct |
40 |
Correct |
19 ms |
24064 KB |
Output is correct |
41 |
Correct |
19 ms |
24040 KB |
Output is correct |
42 |
Correct |
19 ms |
24020 KB |
Output is correct |
43 |
Correct |
18 ms |
23944 KB |
Output is correct |
44 |
Correct |
18 ms |
24036 KB |
Output is correct |
45 |
Correct |
19 ms |
23984 KB |
Output is correct |
46 |
Correct |
19 ms |
24044 KB |
Output is correct |
47 |
Correct |
19 ms |
24044 KB |
Output is correct |
48 |
Correct |
20 ms |
23960 KB |
Output is correct |
49 |
Correct |
18 ms |
24052 KB |
Output is correct |
50 |
Correct |
25 ms |
23988 KB |
Output is correct |
51 |
Correct |
20 ms |
24052 KB |
Output is correct |
52 |
Correct |
18 ms |
24020 KB |
Output is correct |
53 |
Correct |
19 ms |
23928 KB |
Output is correct |
54 |
Correct |
24 ms |
24104 KB |
Output is correct |
55 |
Correct |
18 ms |
23988 KB |
Output is correct |
56 |
Correct |
20 ms |
24012 KB |
Output is correct |
57 |
Correct |
19 ms |
24000 KB |
Output is correct |
58 |
Correct |
20 ms |
23992 KB |
Output is correct |
59 |
Correct |
22 ms |
24020 KB |
Output is correct |
60 |
Correct |
21 ms |
24020 KB |
Output is correct |
61 |
Correct |
19 ms |
24048 KB |
Output is correct |
62 |
Correct |
18 ms |
24012 KB |
Output is correct |
63 |
Correct |
19 ms |
24000 KB |
Output is correct |
64 |
Correct |
19 ms |
23964 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
336 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
420 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
20 ms |
24024 KB |
Output is correct |
35 |
Correct |
18 ms |
24068 KB |
Output is correct |
36 |
Correct |
18 ms |
24020 KB |
Output is correct |
37 |
Correct |
19 ms |
24052 KB |
Output is correct |
38 |
Correct |
20 ms |
24020 KB |
Output is correct |
39 |
Correct |
23 ms |
24020 KB |
Output is correct |
40 |
Correct |
19 ms |
24064 KB |
Output is correct |
41 |
Correct |
19 ms |
24040 KB |
Output is correct |
42 |
Correct |
19 ms |
24020 KB |
Output is correct |
43 |
Correct |
18 ms |
23944 KB |
Output is correct |
44 |
Correct |
18 ms |
24036 KB |
Output is correct |
45 |
Correct |
19 ms |
23984 KB |
Output is correct |
46 |
Correct |
19 ms |
24044 KB |
Output is correct |
47 |
Correct |
19 ms |
24044 KB |
Output is correct |
48 |
Correct |
20 ms |
23960 KB |
Output is correct |
49 |
Correct |
18 ms |
24052 KB |
Output is correct |
50 |
Correct |
25 ms |
23988 KB |
Output is correct |
51 |
Correct |
20 ms |
24052 KB |
Output is correct |
52 |
Correct |
18 ms |
24020 KB |
Output is correct |
53 |
Correct |
19 ms |
23928 KB |
Output is correct |
54 |
Correct |
24 ms |
24104 KB |
Output is correct |
55 |
Correct |
18 ms |
23988 KB |
Output is correct |
56 |
Correct |
20 ms |
24012 KB |
Output is correct |
57 |
Correct |
19 ms |
24000 KB |
Output is correct |
58 |
Correct |
20 ms |
23992 KB |
Output is correct |
59 |
Correct |
22 ms |
24020 KB |
Output is correct |
60 |
Correct |
21 ms |
24020 KB |
Output is correct |
61 |
Correct |
19 ms |
24048 KB |
Output is correct |
62 |
Correct |
18 ms |
24012 KB |
Output is correct |
63 |
Correct |
19 ms |
24000 KB |
Output is correct |
64 |
Correct |
19 ms |
23964 KB |
Output is correct |
65 |
Runtime error |
17 ms |
3024 KB |
Execution killed with signal 11 |
66 |
Halted |
0 ms |
0 KB |
- |