#include <bits/stdc++.h>
#include <fstream>
using namespace std;
template<class A, class B>
ostream& operator<<(ostream& o, const pair<A, B>& p) {return o << '(' << p.first << ", " << p.second << ')';}
template<size_t Index = 0, typename... Types>
ostream& printTupleElements(ostream& o, const tuple<Types...>& t) {if constexpr (Index < sizeof...(Types)){if(Index > 0){o << ", ";}o << get<Index>(t);printTupleElements<Index + 1>(o, t);}return o;}
template<typename... Types>
ostream& operator<<(ostream& o, const tuple<Types...>& t){o << "(";printTupleElements(o, t);return o << ")";}
template<class T>
auto operator<<(ostream& o, const T& x) -> decltype(x.end(), o){o << '{';bool first = true;for (const auto& e : x){if (!first){o << ", ";}o << e;first = false;} return o << '}';}
//#define DEBUG
#ifdef DEBUG
#define fastio()
#define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'
#define check(x) if (!(x)) { cerr << "Check failed: " << #x << " in line " << __LINE__ << endl; exit(1); }
#else
#define fastio() ios_base::sync_with_stdio(0); cin.tie(0);
#define debug(...)
#define check(x)
#endif
typedef long long ll;
#define pi pair<int, int>
#define pl pair<ll, ll>
#define st first
#define nd second
#define vi vector<int>
#define vll vector<ll>
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
ll get_sum(vector<vll>sum, int x, int l, int r) {
if(l > r) {
return 0ll;
}
return sum[x][r] - sum[x][l - 1];
}
ll get_sum2(vll sum, int l, int r) {
if(l > r) {
return 0ll;
}
return sum[r] - sum[l - 1];
}
void solve() {
//ifstream cin("nazwa.in");
//ofstream cout("nazwa.out");
int n;
cin >> n;
vi tab(n + 1), pos(n + 1);
for(int i = 1; i <= n; i++) {
cin >> tab[i];
pos[tab[i]] = i;
}
vector<vll>sum1(n + 1, vll(n + 1, 0));
vector<vll>sum2(n + 1, vll(n + 1, 0));
vll sum3(n + 1, 0);
for(int i = 1; i <= n; i++) {
vll rgt1(n + 1, 0), rgt2(n + 1, 0);
for(int j = i; j <= n; j++) {
rgt1[tab[j]]++;
if(tab[j] > tab[i]) {
rgt2[tab[j]]++;
}
}
for(int j = 1; j <= n; j++) {
rgt1[j] += rgt1[j - 1];
sum1[j][tab[i]] += rgt1[j];
}
for(int j = tab[i] + 1; j <= n; j++) {
rgt2[j] += rgt2[j - 1];
sum2[j][tab[i]] += rgt2[j];
}
sum3[tab[i]] += i;
}
debug(sum2[n]);
for(int j = 1; j <= n; j++) {
for(int i = 1; i <= n; i++) {
sum1[j][i] += sum1[j][i - 1];
sum2[j][i] += sum2[j][i - 1];
}
sum3[j] += sum3[j - 1];
}
vll dp(n + 1, 1e18);
dp[0] = 0;
for(int i = 1; i <= n; i++) {
for(int j = i; j >= 1; j--) {
dp[i] = min(dp[i], dp[j - 1] + (sum1[j - 1][i] - sum1[j - 1][j - 1]) + get_sum(sum2, i, j, i) + get_sum2(sum3, j, i) - ((ll)(i + 1 - j) * (ll)(j + i) / 2));
}
}
debug(dp);
cout << dp[n] << '\n';
}
int main() {
fastio();
int t;
//cin >> t;
t = 1;
while(t--) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1225 ms |
4776 KB |
Output is correct |
22 |
Correct |
1252 ms |
1416 KB |
Output is correct |
23 |
Correct |
1224 ms |
1344 KB |
Output is correct |
24 |
Correct |
1247 ms |
1404 KB |
Output is correct |
25 |
Correct |
1243 ms |
1380 KB |
Output is correct |
26 |
Correct |
1223 ms |
1308 KB |
Output is correct |
27 |
Correct |
1256 ms |
1292 KB |
Output is correct |
28 |
Correct |
1348 ms |
1428 KB |
Output is correct |
29 |
Correct |
1241 ms |
1360 KB |
Output is correct |
30 |
Correct |
1302 ms |
1416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1225 ms |
4776 KB |
Output is correct |
22 |
Correct |
1252 ms |
1416 KB |
Output is correct |
23 |
Correct |
1224 ms |
1344 KB |
Output is correct |
24 |
Correct |
1247 ms |
1404 KB |
Output is correct |
25 |
Correct |
1243 ms |
1380 KB |
Output is correct |
26 |
Correct |
1223 ms |
1308 KB |
Output is correct |
27 |
Correct |
1256 ms |
1292 KB |
Output is correct |
28 |
Correct |
1348 ms |
1428 KB |
Output is correct |
29 |
Correct |
1241 ms |
1360 KB |
Output is correct |
30 |
Correct |
1302 ms |
1416 KB |
Output is correct |
31 |
Execution timed out |
5066 ms |
15616 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
316 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1225 ms |
4776 KB |
Output is correct |
22 |
Correct |
1252 ms |
1416 KB |
Output is correct |
23 |
Correct |
1224 ms |
1344 KB |
Output is correct |
24 |
Correct |
1247 ms |
1404 KB |
Output is correct |
25 |
Correct |
1243 ms |
1380 KB |
Output is correct |
26 |
Correct |
1223 ms |
1308 KB |
Output is correct |
27 |
Correct |
1256 ms |
1292 KB |
Output is correct |
28 |
Correct |
1348 ms |
1428 KB |
Output is correct |
29 |
Correct |
1241 ms |
1360 KB |
Output is correct |
30 |
Correct |
1302 ms |
1416 KB |
Output is correct |
31 |
Execution timed out |
5066 ms |
15616 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |