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Submission #678237

# Submission time Handle Problem Language Result Execution time Memory
678237 2023-01-05T10:39:21 Z stanislavpolyn Diversity (CEOI21_diversity) C++17
38 / 100
 55 ms 5932 KB 
#include <bits/stdc++.h>

#define fr(i, a, b) for (int i = (a); i <= (b); ++i)
#define rf(i, a, b) for (int i = (a); i >= (b); --i)
#define fe(x, y) for (auto& x : y)

#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define mt make_tuple

#define all(x) (x).begin(), (x).end()
#define pw(x) (1LL << (x))
#define sz(x) (int)(x).size()

using namespace std;

mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

//mt19937_64 rng(228);

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define fbo find_by_order
#define ook order_of_key

template <typename T>
bool umn(T& a, T b) {
    return a > b ? a = b, 1 : 0;
}
template <typename T>
bool umx(T& a, T b) {
    return a < b ? a = b, 1 : 0;
}

using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T>
using ve = vector<T>;

const int B = 560;

int calc(ve<int> a) {
    int ans = 0;
    fr (i, 0, sz(a) - 1) {
        set<int> s;
        fr (j, i, sz(a) - 1) {
            s.insert(a[j]);
            ans += sz(s);
        }
    }
    return ans;
}


ll calc2(ve<int> a) {
    int total = 0;
    fe (x, a) total += x;
    ll ans = 0;
    int toLeft = 0;
    ans += 1LL * sz(a) * total * (total + 1) / 2;
    fr (i, 0, sz(a) - 1) {
        int toRight = total - toLeft - a[i];
        ans -= 1LL * toLeft * (toLeft + 1) / 2;
        ans -= 1LL * toRight * (toRight + 1) / 2;
        toLeft += a[i];
    }
    return ans;
}

ll calc3Brute(ve<pii> a) {
    assert(sz(a) <= 2 * B);
    int total = 0;
    int gr = 0;
    fe (x, a) {
        total += x.fi * x.se;
        gr += x.se;
    }
    ll ans = 0;

    ans += 1LL * gr * total * (total + 1) / 2;
    int toLeft = 0;
    fe (cur, a) {
        fr (j, 1, cur.se) {
            ans -= 1LL * toLeft * (toLeft + 1) / 2;
            toLeft += cur.fi;
        }
    }
    reverse(all(a));
    toLeft = 0;
    fe (cur, a) {
        fr (j, 1, cur.se) {
            ans -= 1LL * toLeft * (toLeft + 1) / 2;
            toLeft += cur.fi;
        }
    }
    return ans;
}

ll calc3(ve<pii> a) {
    assert(sz(a) <= 2 * B);

    int total = 0;
    int gr = 0;
    fe (x, a) {
        total += x.fi * x.se;
        gr += x.se;
    }
    ll ans = 0;

    ans += 1LL * gr * total * (total + 1) / 2;
    int toLeft = 0;
    fe (cur, a) {
        ll res = 0;

        res += toLeft * cur.se;
        res += cur.fi * 1LL * cur.se * (cur.se - 1) / 2;

        res += 1LL * toLeft * toLeft * cur.se;
        {
            ll t = cur.se * (cur.se - 1) / 2;
            t *= 2;
            res += t * cur.fi * toLeft;
        }

        cur.se--;
        ll sumSquares = cur.se * (cur.se + 1) * (2 * cur.se + 1) / 6;
        cur.se++;

        res += sumSquares * cur.fi * cur.fi;

        res /= 2;
        ans -= res;

        toLeft += cur.fi * cur.se;
    }
    reverse(all(a));

    toLeft = 0;
    fe (cur, a) {
        ll res = 0;

        res += toLeft * cur.se;
        res += cur.fi * 1LL * cur.se * (cur.se - 1) / 2;

        res += 1LL * toLeft * toLeft * cur.se;
        {
            ll t = cur.se * (cur.se - 1) / 2;
            t *= 2;
            res += t * cur.fi * toLeft;
        }

        cur.se--;
        ll sumSquares = cur.se * (cur.se + 1) * (2 * cur.se + 1) / 6;
        cur.se++;

        res += sumSquares * cur.fi * cur.fi;

        res /= 2;
        ans -= res;

        toLeft += cur.fi * cur.se;
    }

    return ans;
}

const int N = 3e5 + 5;

int n, q;
int a[N];

int cnt[N];

int rnd(int l, int r) {
    return rng() % (r - l + 1) + l;
}

ll solve(ve<int> a) {
    fe (x, a) cnt[x] = 0;

    fe (x, a) cnt[x]++;

    ve<pii> order;
    fe (x, a) {
        if (cnt[x]) {
            order.pb({cnt[x], x});
            cnt[x] = 0;
        }
    }
    sort(all(order));
    reverse(all(order));

    {
        ve<pii> st;
        fe (cur, order) {
            if (!sz(st) || cur.fi != st.back().fi) {
                st.pb({cur.fi, 1});
            } else {
                st.back().se++;
            }
        }
        deque<pii> d;
        bool who = 0;
        fe (x, st) {
            if (x.se > 1) {
                d.push_front({x.fi, x.se / 2});
                d.pb({x.fi, x.se / 2});
                x.se %= 2;
            }
            if (x.se) {
                if (who == 0) {
                    if (sz(d) && d.front().fi == x.fi) d.front().se++;
                    else d.push_front({x.fi, 1});
                } else {
                    if (sz(d) && d.back().fi == x.fi) d.back().se++;
                    else d.pb({x.fi, 1});
                }
                who ^= 1;
            }
        }

        ve<pii> v;
        fe (x, d) v.pb(x);

//        cout << calc3(v) << " " << calc3Brute(v) << "\n";

        return calc3(v);
    }
    assert(0);
//
//    deque<int> d;
//    bool who = 0;
//    fe (cur, order) {
//        if (who == 0) d.push_front(cur.fi);
//        else d.pb(cur.fi);
//        who ^= 1;
//    }
//    ve<int> v;
//    int now = 1;
//    fe (x, d) {
//        v.pb(x);
//    }
//    return calc2(v);
}



int main() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#else
    ios::sync_with_stdio(0);
    cin.tie(0);
#endif



    cin >> n >> q;

    ve<int> v;
    fr (i, 1, n) {
        cin >> a[i];
//        a[i] = rnd(1, 10);
        v.pb(a[i]);
    }

    sort(all(v));

    cout << solve(v) << "\n";


//    int mn = 1e9;
//    do {
//        umn(mn, calc(v));
//    } while (next_permutation(all(v)));
//
//    cout << solve(v) << " " << mn << "\n";
//
//    do {
//        if (calc(v) == mn) {
//            cout << "v: ";
//            fe (x, v) cout << x << " ";
//            cout << "\n";
//        }
//    } while (next_permutation(all(v)));


    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 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 1 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 8 ms 1620 KB Output is correct
5 Correct 17 ms 2808 KB Output is correct
6 Correct 28 ms 3988 KB Output is correct
7 Correct 27 ms 3976 KB Output is correct
8 Correct 25 ms 3908 KB Output is correct
9 Correct 24 ms 3976 KB Output is correct
10 Correct 25 ms 3916 KB Output is correct
11 Correct 25 ms 4064 KB Output is correct
12 Correct 25 ms 3980 KB Output is correct
13 Correct 25 ms 3976 KB Output is correct
14 Correct 26 ms 3880 KB Output is correct
15 Correct 24 ms 3976 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 8 ms 1620 KB Output is correct
5 Correct 17 ms 2808 KB Output is correct
6 Correct 28 ms 3988 KB Output is correct
7 Correct 27 ms 3976 KB Output is correct
8 Correct 25 ms 3908 KB Output is correct
9 Correct 24 ms 3976 KB Output is correct
10 Correct 25 ms 3916 KB Output is correct
11 Correct 25 ms 4064 KB Output is correct
12 Correct 25 ms 3980 KB Output is correct
13 Correct 25 ms 3976 KB Output is correct
14 Correct 26 ms 3880 KB Output is correct
15 Correct 24 ms 3976 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 9 ms 1648 KB Output is correct
20 Correct 18 ms 2720 KB Output is correct
21 Correct 27 ms 3984 KB Output is correct
22 Correct 28 ms 3976 KB Output is correct
23 Correct 27 ms 3904 KB Output is correct
24 Correct 32 ms 4004 KB Output is correct
25 Correct 27 ms 3972 KB Output is correct
26 Correct 28 ms 3932 KB Output is correct
27 Correct 27 ms 3960 KB Output is correct
28 Correct 26 ms 3880 KB Output is correct
29 Correct 27 ms 3916 KB Output is correct
30 Correct 27 ms 3972 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 8 ms 1620 KB Output is correct
5 Correct 17 ms 2808 KB Output is correct
6 Correct 28 ms 3988 KB Output is correct
7 Correct 27 ms 3976 KB Output is correct
8 Correct 25 ms 3908 KB Output is correct
9 Correct 24 ms 3976 KB Output is correct
10 Correct 25 ms 3916 KB Output is correct
11 Correct 25 ms 4064 KB Output is correct
12 Correct 25 ms 3980 KB Output is correct
13 Correct 25 ms 3976 KB Output is correct
14 Correct 26 ms 3880 KB Output is correct
15 Correct 24 ms 3976 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 9 ms 1648 KB Output is correct
20 Correct 18 ms 2720 KB Output is correct
21 Correct 27 ms 3984 KB Output is correct
22 Correct 28 ms 3976 KB Output is correct
23 Correct 27 ms 3904 KB Output is correct
24 Correct 32 ms 4004 KB Output is correct
25 Correct 27 ms 3972 KB Output is correct
26 Correct 28 ms 3932 KB Output is correct
27 Correct 27 ms 3960 KB Output is correct
28 Correct 26 ms 3880 KB Output is correct
29 Correct 27 ms 3916 KB Output is correct
30 Correct 27 ms 3972 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 2 ms 468 KB Output is correct
37 Correct 7 ms 984 KB Output is correct
38 Correct 8 ms 984 KB Output is correct
39 Correct 12 ms 1568 KB Output is correct
40 Correct 23 ms 2768 KB Output is correct
41 Correct 34 ms 3968 KB Output is correct
42 Correct 36 ms 3904 KB Output is correct
43 Correct 36 ms 3888 KB Output is correct
44 Correct 35 ms 3960 KB Output is correct
45 Correct 35 ms 3952 KB Output is correct
46 Correct 34 ms 3960 KB Output is correct
47 Correct 33 ms 3972 KB Output is correct
48 Correct 33 ms 3908 KB Output is correct
49 Correct 37 ms 3996 KB Output is correct
50 Correct 34 ms 3904 KB Output is correct
51 Correct 34 ms 3976 KB Output is correct
52 Correct 34 ms 3980 KB Output is correct
53 Correct 33 ms 3924 KB Output is correct
54 Correct 35 ms 3908 KB Output is correct
55 Correct 34 ms 3964 KB Output is correct
56 Correct 34 ms 3984 KB Output is correct
57 Correct 34 ms 3908 KB Output is correct
58 Correct 34 ms 4012 KB Output is correct
59 Correct 39 ms 3976 KB Output is correct
60 Correct 34 ms 3916 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 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 1 ms 212 KB Output is correct
8 Correct 0 ms 340 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 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 8 ms 1620 KB Output is correct
15 Correct 17 ms 2808 KB Output is correct
16 Correct 28 ms 3988 KB Output is correct
17 Correct 27 ms 3976 KB Output is correct
18 Correct 25 ms 3908 KB Output is correct
19 Correct 24 ms 3976 KB Output is correct
20 Correct 25 ms 3916 KB Output is correct
21 Correct 25 ms 4064 KB Output is correct
22 Correct 25 ms 3980 KB Output is correct
23 Correct 25 ms 3976 KB Output is correct
24 Correct 26 ms 3880 KB Output is correct
25 Correct 24 ms 3976 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 9 ms 1648 KB Output is correct
30 Correct 18 ms 2720 KB Output is correct
31 Correct 27 ms 3984 KB Output is correct
32 Correct 28 ms 3976 KB Output is correct
33 Correct 27 ms 3904 KB Output is correct
34 Correct 32 ms 4004 KB Output is correct
35 Correct 27 ms 3972 KB Output is correct
36 Correct 28 ms 3932 KB Output is correct
37 Correct 27 ms 3960 KB Output is correct
38 Correct 26 ms 3880 KB Output is correct
39 Correct 27 ms 3916 KB Output is correct
40 Correct 27 ms 3972 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 2 ms 468 KB Output is correct
47 Correct 7 ms 984 KB Output is correct
48 Correct 8 ms 984 KB Output is correct
49 Correct 12 ms 1568 KB Output is correct
50 Correct 23 ms 2768 KB Output is correct
51 Correct 34 ms 3968 KB Output is correct
52 Correct 36 ms 3904 KB Output is correct
53 Correct 36 ms 3888 KB Output is correct
54 Correct 35 ms 3960 KB Output is correct
55 Correct 35 ms 3952 KB Output is correct
56 Correct 34 ms 3960 KB Output is correct
57 Correct 33 ms 3972 KB Output is correct
58 Correct 33 ms 3908 KB Output is correct
59 Correct 37 ms 3996 KB Output is correct
60 Correct 34 ms 3904 KB Output is correct
61 Correct 34 ms 3976 KB Output is correct
62 Correct 34 ms 3980 KB Output is correct
63 Correct 33 ms 3924 KB Output is correct
64 Correct 35 ms 3908 KB Output is correct
65 Correct 34 ms 3964 KB Output is correct
66 Correct 34 ms 3984 KB Output is correct
67 Correct 34 ms 3908 KB Output is correct
68 Correct 34 ms 4012 KB Output is correct
69 Correct 39 ms 3976 KB Output is correct
70 Correct 34 ms 3916 KB Output is correct
71 Correct 7 ms 1008 KB Output is correct
72 Correct 7 ms 984 KB Output is correct
73 Correct 7 ms 984 KB Output is correct
74 Correct 7 ms 984 KB Output is correct
75 Correct 7 ms 984 KB Output is correct
76 Correct 14 ms 1652 KB Output is correct
77 Correct 13 ms 1648 KB Output is correct
78 Correct 13 ms 1620 KB Output is correct
79 Correct 14 ms 1620 KB Output is correct
80 Correct 13 ms 1620 KB Output is correct
81 Correct 27 ms 2892 KB Output is correct
82 Correct 27 ms 2896 KB Output is correct
83 Correct 28 ms 2948 KB Output is correct
84 Correct 27 ms 2824 KB Output is correct
85 Correct 27 ms 2836 KB Output is correct
86 Correct 34 ms 3140 KB Output is correct
87 Correct 31 ms 3068 KB Output is correct
88 Correct 30 ms 3064 KB Output is correct
89 Correct 32 ms 3100 KB Output is correct
90 Correct 30 ms 3072 KB Output is correct
91 Incorrect 55 ms 5932 KB Output isn't correct
92 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 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 1 ms 212 KB Output is correct
8 Correct 0 ms 340 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 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 8 ms 1620 KB Output is correct
15 Correct 17 ms 2808 KB Output is correct
16 Correct 28 ms 3988 KB Output is correct
17 Correct 27 ms 3976 KB Output is correct
18 Correct 25 ms 3908 KB Output is correct
19 Correct 24 ms 3976 KB Output is correct
20 Correct 25 ms 3916 KB Output is correct
21 Correct 25 ms 4064 KB Output is correct
22 Correct 25 ms 3980 KB Output is correct
23 Correct 25 ms 3976 KB Output is correct
24 Correct 26 ms 3880 KB Output is correct
25 Correct 24 ms 3976 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 9 ms 1648 KB Output is correct
30 Correct 18 ms 2720 KB Output is correct
31 Correct 27 ms 3984 KB Output is correct
32 Correct 28 ms 3976 KB Output is correct
33 Correct 27 ms 3904 KB Output is correct
34 Correct 32 ms 4004 KB Output is correct
35 Correct 27 ms 3972 KB Output is correct
36 Correct 28 ms 3932 KB Output is correct
37 Correct 27 ms 3960 KB Output is correct
38 Correct 26 ms 3880 KB Output is correct
39 Correct 27 ms 3916 KB Output is correct
40 Correct 27 ms 3972 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 2 ms 468 KB Output is correct
47 Correct 7 ms 984 KB Output is correct
48 Correct 8 ms 984 KB Output is correct
49 Correct 12 ms 1568 KB Output is correct
50 Correct 23 ms 2768 KB Output is correct
51 Correct 34 ms 3968 KB Output is correct
52 Correct 36 ms 3904 KB Output is correct
53 Correct 36 ms 3888 KB Output is correct
54 Correct 35 ms 3960 KB Output is correct
55 Correct 35 ms 3952 KB Output is correct
56 Correct 34 ms 3960 KB Output is correct
57 Correct 33 ms 3972 KB Output is correct
58 Correct 33 ms 3908 KB Output is correct
59 Correct 37 ms 3996 KB Output is correct
60 Correct 34 ms 3904 KB Output is correct
61 Correct 34 ms 3976 KB Output is correct
62 Correct 34 ms 3980 KB Output is correct
63 Correct 33 ms 3924 KB Output is correct
64 Correct 35 ms 3908 KB Output is correct
65 Correct 34 ms 3964 KB Output is correct
66 Correct 34 ms 3984 KB Output is correct
67 Correct 34 ms 3908 KB Output is correct
68 Correct 34 ms 4012 KB Output is correct
69 Correct 39 ms 3976 KB Output is correct
70 Correct 34 ms 3916 KB Output is correct
71 Correct 7 ms 1008 KB Output is correct
72 Correct 7 ms 984 KB Output is correct
73 Correct 7 ms 984 KB Output is correct
74 Correct 7 ms 984 KB Output is correct
75 Correct 7 ms 984 KB Output is correct
76 Correct 14 ms 1652 KB Output is correct
77 Correct 13 ms 1648 KB Output is correct
78 Correct 13 ms 1620 KB Output is correct
79 Correct 14 ms 1620 KB Output is correct
80 Correct 13 ms 1620 KB Output is correct
81 Correct 27 ms 2892 KB Output is correct
82 Correct 27 ms 2896 KB Output is correct
83 Correct 28 ms 2948 KB Output is correct
84 Correct 27 ms 2824 KB Output is correct
85 Correct 27 ms 2836 KB Output is correct
86 Correct 34 ms 3140 KB Output is correct
87 Correct 31 ms 3068 KB Output is correct
88 Correct 30 ms 3064 KB Output is correct
89 Correct 32 ms 3100 KB Output is correct
90 Correct 30 ms 3072 KB Output is correct
91 Incorrect 55 ms 5932 KB Output isn't correct
92 Halted 0 ms 0 KB -