Submission #926074

# Submission time Handle Problem Language Result Execution time Memory
926074 2024-02-12T14:27:08 Z GrindMachine Diversity (CEOI21_diversity) C++17
38 / 100
794 ms 524288 KB
#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) (int)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;

void solve(int test_case)
{
    ll n,q; cin >> n >> q;
    vector<ll> a(n);
    rep(i,n) cin >> a[i];
    
    {
        ll l,r; cin >> l >> r;
    }

    vector<ll> b;
    rep(i,n) b.pb(a[i]);
    sort(all(b));
    b.resize(unique(all(b))-b.begin());
    rep(i,n) a[i] = lower_bound(all(b),a[i])-b.begin();
    ll m = sz(b);

    vector<ll> cnt(m);
    rep(i,n) cnt[a[i]]++;

    ll dp[m][m];
    memset(dp,0x3f,sizeof dp);

    vector<pll> order;
    rep(i,m) order.pb({cnt[i],i});
    sort(all(order));

    auto f = [&](ll i, ll c){
        ll cost = 0;
        cost += i*(n-i+1);
        if(c > 1){
            ll mx = n-i;
            ll mn = n-i-c+2;
            cost += mx*(mx+1)/2-mn*(mn-1)/2;
        }
        return cost;
    };

    vector<ll> dp1(n+5,inf2);
    dp1[0] = 0;
    ll sum = 0;

    for(auto [c,col] : order){
        rev(i,sum,0){
            if(dp1[i] == inf2) conts;
            
            // front
            amin(dp1[i+c],dp1[i]+f(i+1,c));

            // back
            ll j = sum-i;
            dp1[i] += f(n-j-c+1,c);
        }

        sum += c;
    }

    ll ans = *min_element(all(dp1));
    cout << ans << endl;

    // vector<ll> order(m);
    // rep(i,m) order[i] = i;

    // ll ans = inf2;

    // do{

    //     ll i = 1;
    //     ll cost = 0;

    //     trav(x,order){
    //         ll c = cnt[x];
    //         ll add = 0;
    //         add = 2*i*(n-i+1)+(n-i)*(n+1-i)-(n+1-i-c)*(n+2-i-c);            
    //         cost += add;

    //         // cost += i*(n-i+1);
    //         // if(c > 1){
    //         //     ll mx = n-i;
    //         //     ll mn = n-i-c+2;
    //         //     assert(mn <= mx);
    //         //     cost += mx*(mx+1)/2-mn*(mn-1)/2;
    //         // }
        
    //         i += c;            
    //     }

    //     cost /= 2;
    //     amin(ans,cost);

    //     if(cost == 171){
    //         debug(order);
    //     }

    // } while(next_permutation(all(order)));

    // cout << ans << endl;
}

int main()
{
    fastio;

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

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

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 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 0 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 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 9 ms 3132 KB Output is correct
5 Correct 17 ms 5620 KB Output is correct
6 Correct 29 ms 8144 KB Output is correct
7 Correct 26 ms 9424 KB Output is correct
8 Correct 28 ms 9128 KB Output is correct
9 Correct 27 ms 9576 KB Output is correct
10 Correct 27 ms 9308 KB Output is correct
11 Correct 28 ms 8708 KB Output is correct
12 Correct 29 ms 8392 KB Output is correct
13 Correct 28 ms 9668 KB Output is correct
14 Correct 30 ms 8644 KB Output is correct
15 Correct 28 ms 9436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 9 ms 3132 KB Output is correct
5 Correct 17 ms 5620 KB Output is correct
6 Correct 29 ms 8144 KB Output is correct
7 Correct 26 ms 9424 KB Output is correct
8 Correct 28 ms 9128 KB Output is correct
9 Correct 27 ms 9576 KB Output is correct
10 Correct 27 ms 9308 KB Output is correct
11 Correct 28 ms 8708 KB Output is correct
12 Correct 29 ms 8392 KB Output is correct
13 Correct 28 ms 9668 KB Output is correct
14 Correct 30 ms 8644 KB Output is correct
15 Correct 28 ms 9436 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 2 ms 604 KB Output is correct
19 Correct 12 ms 3032 KB Output is correct
20 Correct 24 ms 5588 KB Output is correct
21 Correct 36 ms 10064 KB Output is correct
22 Correct 39 ms 8808 KB Output is correct
23 Correct 36 ms 8400 KB Output is correct
24 Correct 38 ms 9104 KB Output is correct
25 Correct 38 ms 9080 KB Output is correct
26 Correct 37 ms 9932 KB Output is correct
27 Correct 37 ms 9424 KB Output is correct
28 Correct 35 ms 9156 KB Output is correct
29 Correct 44 ms 9668 KB Output is correct
30 Correct 38 ms 9292 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 9 ms 3132 KB Output is correct
5 Correct 17 ms 5620 KB Output is correct
6 Correct 29 ms 8144 KB Output is correct
7 Correct 26 ms 9424 KB Output is correct
8 Correct 28 ms 9128 KB Output is correct
9 Correct 27 ms 9576 KB Output is correct
10 Correct 27 ms 9308 KB Output is correct
11 Correct 28 ms 8708 KB Output is correct
12 Correct 29 ms 8392 KB Output is correct
13 Correct 28 ms 9668 KB Output is correct
14 Correct 30 ms 8644 KB Output is correct
15 Correct 28 ms 9436 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 2 ms 604 KB Output is correct
19 Correct 12 ms 3032 KB Output is correct
20 Correct 24 ms 5588 KB Output is correct
21 Correct 36 ms 10064 KB Output is correct
22 Correct 39 ms 8808 KB Output is correct
23 Correct 36 ms 8400 KB Output is correct
24 Correct 38 ms 9104 KB Output is correct
25 Correct 38 ms 9080 KB Output is correct
26 Correct 37 ms 9932 KB Output is correct
27 Correct 37 ms 9424 KB Output is correct
28 Correct 35 ms 9156 KB Output is correct
29 Correct 44 ms 9668 KB Output is correct
30 Correct 38 ms 9292 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 3 ms 860 KB Output is correct
35 Correct 5 ms 1116 KB Output is correct
36 Correct 20 ms 8456 KB Output is correct
37 Correct 38 ms 3804 KB Output is correct
38 Correct 73 ms 9776 KB Output is correct
39 Correct 141 ms 10964 KB Output is correct
40 Correct 285 ms 13868 KB Output is correct
41 Correct 429 ms 16608 KB Output is correct
42 Correct 410 ms 17860 KB Output is correct
43 Correct 413 ms 16896 KB Output is correct
44 Correct 417 ms 16656 KB Output is correct
45 Correct 416 ms 17116 KB Output is correct
46 Correct 444 ms 16696 KB Output is correct
47 Correct 414 ms 16672 KB Output is correct
48 Correct 418 ms 16752 KB Output is correct
49 Correct 423 ms 17752 KB Output is correct
50 Correct 408 ms 16720 KB Output is correct
51 Correct 412 ms 17096 KB Output is correct
52 Correct 412 ms 17348 KB Output is correct
53 Correct 420 ms 17232 KB Output is correct
54 Correct 413 ms 16836 KB Output is correct
55 Correct 420 ms 17748 KB Output is correct
56 Correct 411 ms 16576 KB Output is correct
57 Correct 425 ms 17168 KB Output is correct
58 Correct 415 ms 17376 KB Output is correct
59 Correct 426 ms 18208 KB Output is correct
60 Correct 423 ms 17116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 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 0 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 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 9 ms 3132 KB Output is correct
15 Correct 17 ms 5620 KB Output is correct
16 Correct 29 ms 8144 KB Output is correct
17 Correct 26 ms 9424 KB Output is correct
18 Correct 28 ms 9128 KB Output is correct
19 Correct 27 ms 9576 KB Output is correct
20 Correct 27 ms 9308 KB Output is correct
21 Correct 28 ms 8708 KB Output is correct
22 Correct 29 ms 8392 KB Output is correct
23 Correct 28 ms 9668 KB Output is correct
24 Correct 30 ms 8644 KB Output is correct
25 Correct 28 ms 9436 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 12 ms 3032 KB Output is correct
30 Correct 24 ms 5588 KB Output is correct
31 Correct 36 ms 10064 KB Output is correct
32 Correct 39 ms 8808 KB Output is correct
33 Correct 36 ms 8400 KB Output is correct
34 Correct 38 ms 9104 KB Output is correct
35 Correct 38 ms 9080 KB Output is correct
36 Correct 37 ms 9932 KB Output is correct
37 Correct 37 ms 9424 KB Output is correct
38 Correct 35 ms 9156 KB Output is correct
39 Correct 44 ms 9668 KB Output is correct
40 Correct 38 ms 9292 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 600 KB Output is correct
43 Correct 1 ms 856 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 5 ms 1116 KB Output is correct
46 Correct 20 ms 8456 KB Output is correct
47 Correct 38 ms 3804 KB Output is correct
48 Correct 73 ms 9776 KB Output is correct
49 Correct 141 ms 10964 KB Output is correct
50 Correct 285 ms 13868 KB Output is correct
51 Correct 429 ms 16608 KB Output is correct
52 Correct 410 ms 17860 KB Output is correct
53 Correct 413 ms 16896 KB Output is correct
54 Correct 417 ms 16656 KB Output is correct
55 Correct 416 ms 17116 KB Output is correct
56 Correct 444 ms 16696 KB Output is correct
57 Correct 414 ms 16672 KB Output is correct
58 Correct 418 ms 16752 KB Output is correct
59 Correct 423 ms 17752 KB Output is correct
60 Correct 408 ms 16720 KB Output is correct
61 Correct 412 ms 17096 KB Output is correct
62 Correct 412 ms 17348 KB Output is correct
63 Correct 420 ms 17232 KB Output is correct
64 Correct 413 ms 16836 KB Output is correct
65 Correct 420 ms 17748 KB Output is correct
66 Correct 411 ms 16576 KB Output is correct
67 Correct 425 ms 17168 KB Output is correct
68 Correct 415 ms 17376 KB Output is correct
69 Correct 426 ms 18208 KB Output is correct
70 Correct 423 ms 17116 KB Output is correct
71 Correct 150 ms 33284 KB Output is correct
72 Correct 148 ms 33288 KB Output is correct
73 Correct 150 ms 33236 KB Output is correct
74 Correct 150 ms 33084 KB Output is correct
75 Correct 147 ms 33228 KB Output is correct
76 Correct 782 ms 199216 KB Output is correct
77 Correct 781 ms 199212 KB Output is correct
78 Correct 757 ms 199220 KB Output is correct
79 Correct 794 ms 199308 KB Output is correct
80 Correct 784 ms 199372 KB Output is correct
81 Runtime error 319 ms 524288 KB Execution killed with signal 9
82 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 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 0 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 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 9 ms 3132 KB Output is correct
15 Correct 17 ms 5620 KB Output is correct
16 Correct 29 ms 8144 KB Output is correct
17 Correct 26 ms 9424 KB Output is correct
18 Correct 28 ms 9128 KB Output is correct
19 Correct 27 ms 9576 KB Output is correct
20 Correct 27 ms 9308 KB Output is correct
21 Correct 28 ms 8708 KB Output is correct
22 Correct 29 ms 8392 KB Output is correct
23 Correct 28 ms 9668 KB Output is correct
24 Correct 30 ms 8644 KB Output is correct
25 Correct 28 ms 9436 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 12 ms 3032 KB Output is correct
30 Correct 24 ms 5588 KB Output is correct
31 Correct 36 ms 10064 KB Output is correct
32 Correct 39 ms 8808 KB Output is correct
33 Correct 36 ms 8400 KB Output is correct
34 Correct 38 ms 9104 KB Output is correct
35 Correct 38 ms 9080 KB Output is correct
36 Correct 37 ms 9932 KB Output is correct
37 Correct 37 ms 9424 KB Output is correct
38 Correct 35 ms 9156 KB Output is correct
39 Correct 44 ms 9668 KB Output is correct
40 Correct 38 ms 9292 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 600 KB Output is correct
43 Correct 1 ms 856 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 5 ms 1116 KB Output is correct
46 Correct 20 ms 8456 KB Output is correct
47 Correct 38 ms 3804 KB Output is correct
48 Correct 73 ms 9776 KB Output is correct
49 Correct 141 ms 10964 KB Output is correct
50 Correct 285 ms 13868 KB Output is correct
51 Correct 429 ms 16608 KB Output is correct
52 Correct 410 ms 17860 KB Output is correct
53 Correct 413 ms 16896 KB Output is correct
54 Correct 417 ms 16656 KB Output is correct
55 Correct 416 ms 17116 KB Output is correct
56 Correct 444 ms 16696 KB Output is correct
57 Correct 414 ms 16672 KB Output is correct
58 Correct 418 ms 16752 KB Output is correct
59 Correct 423 ms 17752 KB Output is correct
60 Correct 408 ms 16720 KB Output is correct
61 Correct 412 ms 17096 KB Output is correct
62 Correct 412 ms 17348 KB Output is correct
63 Correct 420 ms 17232 KB Output is correct
64 Correct 413 ms 16836 KB Output is correct
65 Correct 420 ms 17748 KB Output is correct
66 Correct 411 ms 16576 KB Output is correct
67 Correct 425 ms 17168 KB Output is correct
68 Correct 415 ms 17376 KB Output is correct
69 Correct 426 ms 18208 KB Output is correct
70 Correct 423 ms 17116 KB Output is correct
71 Correct 150 ms 33284 KB Output is correct
72 Correct 148 ms 33288 KB Output is correct
73 Correct 150 ms 33236 KB Output is correct
74 Correct 150 ms 33084 KB Output is correct
75 Correct 147 ms 33228 KB Output is correct
76 Correct 782 ms 199216 KB Output is correct
77 Correct 781 ms 199212 KB Output is correct
78 Correct 757 ms 199220 KB Output is correct
79 Correct 794 ms 199308 KB Output is correct
80 Correct 784 ms 199372 KB Output is correct
81 Runtime error 319 ms 524288 KB Execution killed with signal 9
82 Halted 0 ms 0 KB -