Submission #961274

# Submission time Handle Problem Language Result Execution time Memory
961274 2024-04-11T19:25:14 Z BhavayGoyal Group Photo (JOI21_ho_t3) C++14
100 / 100
376 ms 600 KB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<class T> using oset = 
            tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#define ll long long
#define ld long double
#define ar array
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define endl "\n"

const int MOD = 1e9+7;
const int inf = 1e9;
const ll linf = 1e18;

const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());


// -------------------------------------------------- Main Code --------------------------------------------------

struct bits {
    int n; 
    vi tree;

    bits(int N) {n = N+5; tree = vi(n+5);}

    void update(int idx, int val) { for (idx; idx <= n; idx += (idx&-idx)) tree[idx] += val; }
    int sum(int idx) { int ans = 0; for (idx; idx; idx -= (idx&-idx)) ans += tree[idx]; return ans; }
    int query(int l, int r) { return sum(r)-sum(l-1); }
};

const int N = 5001;
int a[N], pos[N], dp[N];

void sol() {
    int n; cin >> n;
    for (int i = 1; i <= n; i++) cin >> a[i], pos[a[i]] = i;

    for (int i = 1; i <= n; i++) dp[i] = inf;

    bits smaller(n+1);
    vi small(n+1);
    for (int i = 1; i <= n; i++) {
        smaller.update(pos[i], 1);
        int cost = 0;
        bits bigger(n);
        for (int j = i; j >= 1; j--) {
            // cost = (elements < j after pos[j]) + (elements > j && <= i after pos[j])
            if (i == j) small[i] = smaller.query(pos[j]+1, n);
            cost += small[j];
            cost += bigger.query(pos[j]+1, n);
            cost -= bigger.query(1, pos[j]-1);
            dp[i] = min(dp[j-1]+cost, dp[i]);
            bigger.update(pos[j], 1);
        }
    }
    cout << dp[n] << endl;
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int t = 1;
    // cin >> t; 
    while (t--) {
        sol();
    }
    return 0;
}

Compilation message

Main.cpp: In member function 'void bits::update(int, int)':
Main.cpp:41:42: warning: statement has no effect [-Wunused-value]
   41 |     void update(int idx, int val) { for (idx; idx <= n; idx += (idx&-idx)) tree[idx] += val; }
      |                                          ^~~
Main.cpp: In member function 'int bits::sum(int)':
Main.cpp:42:42: warning: statement has no effect [-Wunused-value]
   42 |     int sum(int idx) { int ans = 0; for (idx; idx; idx -= (idx&-idx)) ans += tree[idx]; return ans; }
      |                                          ^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 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 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 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 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 388 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 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 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 388 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 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 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 500 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 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 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 388 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 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 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 500 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 5 ms 348 KB Output is correct
32 Correct 5 ms 348 KB Output is correct
33 Correct 5 ms 348 KB Output is correct
34 Correct 4 ms 348 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 4 ms 344 KB Output is correct
37 Correct 6 ms 344 KB Output is correct
38 Correct 5 ms 344 KB Output is correct
39 Correct 4 ms 344 KB Output is correct
40 Correct 4 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 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 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 388 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 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 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 500 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 5 ms 348 KB Output is correct
32 Correct 5 ms 348 KB Output is correct
33 Correct 5 ms 348 KB Output is correct
34 Correct 4 ms 348 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 4 ms 344 KB Output is correct
37 Correct 6 ms 344 KB Output is correct
38 Correct 5 ms 344 KB Output is correct
39 Correct 4 ms 344 KB Output is correct
40 Correct 4 ms 348 KB Output is correct
41 Correct 353 ms 576 KB Output is correct
42 Correct 346 ms 580 KB Output is correct
43 Correct 376 ms 600 KB Output is correct
44 Correct 346 ms 576 KB Output is correct
45 Correct 341 ms 600 KB Output is correct
46 Correct 338 ms 348 KB Output is correct
47 Correct 327 ms 576 KB Output is correct
48 Correct 338 ms 580 KB Output is correct
49 Correct 327 ms 600 KB Output is correct
50 Correct 337 ms 580 KB Output is correct
51 Correct 328 ms 576 KB Output is correct
52 Correct 333 ms 576 KB Output is correct
53 Correct 333 ms 576 KB Output is correct
54 Correct 323 ms 580 KB Output is correct
55 Correct 325 ms 580 KB Output is correct