oj.uz

Submission #751772

# Submission time Handle Problem Language Result Execution time Memory
751772 2023-06-01T12:33:18 Z GrindMachine Group Photo (JOI21_ho_t3) C++17
100 / 100
 597 ms 196684 KB 
// Om Namah Shivaya

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*



*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

template<typename T>
struct fenwick {
    int siz;
    vector<T> tree;

    fenwick(int n) {
        siz = n;
        tree = vector<T>(n + 1);
    }

    int lsb(int x) {
        return x & -x;
    }

    void build(vector<T> &a, int n) {
        for (int i = 1; i <= n; ++i) {
            int par = i + lsb(i);
            tree[i] += a[i];

            if (par <= siz) {
                tree[par] += tree[i];
            }
        }
    }

    void pupd(int i, T v) {
        while (i <= siz) {
            tree[i] += v;
            i += lsb(i);
        }
    }

    T sum(int i) {
        T res = 0;

        while (i) {
            res += tree[i];
            i -= lsb(i);
        }

        return res;
    }

    T query(int l, int r) {
        if (l > r) return 0;
        T res = sum(r) - sum(l - 1);
        return res;
    }
};

void solve(int test_case)
{
    ll n; cin >> n;
    vector<ll> a(n+5);
    rep1(i,n) cin >> a[i];

    vector<ll> pos(n+5);
    rep1(i,n) pos[a[i]] = i;

    ll cost[n+5][n+5];
    memset(cost,0,sizeof cost);

    rep1(l,n){
        // cost(l,r):
        // consider the array after removing guys > r
        // now we want to take all guys [l,r] to end and arrange them in order r,r-1,r-2,...,l
        // cost(l,r) = cost to take to end + cost to rearrange within in end
        // cost to take to end = sum(#of guys smaller than l that appear after pos[i]), for i = [l..r]
        // cost to rearrange = #of inversions if we consider guys [l..r]
        // our final order must be r,r-1,...,l (decreasing order)
        // so definition of inversions here = #of (i,j) s.t i < j and a[i] < a[j]
    
        vector<ll> suff(n+5);
        rep1(i,n){
            if(a[i] < l){
                suff[i] = 1;
            }
        }

        rev(i,n,1){
            suff[i] += suff[i+1];
        }

        fenwick<ll> fenw(n+5);
        ll take_to_end = 0;
        ll inv = 0;

        for(int r = l; r <= n; ++r){
            take_to_end += suff[pos[r]+1];
            inv += fenw.query(1,pos[r]-1);
            fenw.pupd(pos[r],1);

            cost[l][r] = inv + take_to_end;
        }
    }

    vector<ll> dp(n+5,inf2);
    dp[0] = 0;

    rep1(i,n){
        rev(j,i,1){
            amin(dp[i], dp[j-1] + cost[j][i]);
        }
    }

    ll ans = dp[n];
    cout << ans << endl;

    /*

    ll n; cin >> n;
    vector<ll> a(n);
    rep(i,n) a[i] = i + 1;

    do{

        bool good = true;

        rep(i,n-1){
            if(a[i] < a[i+1] + 2){
                conts;
            }

            good = false;
            break;
        }

        if(good){
            debug(a);
        }

    } while(next_permutation(all(a)));

    */
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 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 1 ms 308 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 212 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

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 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 1 ms 308 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 212 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 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 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 1 ms 308 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 212 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 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 11 ms 5332 KB Output is correct
32 Correct 12 ms 5404 KB Output is correct
33 Correct 12 ms 5404 KB Output is correct
34 Correct 13 ms 5416 KB Output is correct
35 Correct 14 ms 5420 KB Output is correct
36 Correct 11 ms 5412 KB Output is correct
37 Correct 11 ms 5412 KB Output is correct
38 Correct 11 ms 5308 KB Output is correct
39 Correct 11 ms 5332 KB Output is correct
40 Correct 11 ms 5308 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 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 1 ms 308 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 212 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 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 11 ms 5332 KB Output is correct
32 Correct 12 ms 5404 KB Output is correct
33 Correct 12 ms 5404 KB Output is correct
34 Correct 13 ms 5416 KB Output is correct
35 Correct 14 ms 5420 KB Output is correct
36 Correct 11 ms 5412 KB Output is correct
37 Correct 11 ms 5412 KB Output is correct
38 Correct 11 ms 5308 KB Output is correct
39 Correct 11 ms 5332 KB Output is correct
40 Correct 11 ms 5308 KB Output is correct
41 Correct 577 ms 196324 KB Output is correct
42 Correct 586 ms 196316 KB Output is correct
43 Correct 578 ms 196484 KB Output is correct
44 Correct 564 ms 196484 KB Output is correct
45 Correct 584 ms 196480 KB Output is correct
46 Correct 574 ms 196532 KB Output is correct
47 Correct 592 ms 196560 KB Output is correct
48 Correct 597 ms 196684 KB Output is correct
49 Correct 587 ms 196644 KB Output is correct
50 Correct 582 ms 196556 KB Output is correct
51 Correct 591 ms 196564 KB Output is correct
52 Correct 585 ms 196572 KB Output is correct
53 Correct 572 ms 196556 KB Output is correct
54 Correct 572 ms 196564 KB Output is correct
55 Correct 581 ms 196560 KB Output is correct