Submission #670934

# Submission time Handle Problem Language Result Execution time Memory
670934 2022-12-11T11:13:43 Z zeroesandones Mountains (NOI20_mountains) C++17
100 / 100
560 ms 42368 KB
#include "bits/stdc++.h"
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef long double ld;
typedef vector<ll> vi;
typedef pair<ll, ll> pi;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> iset;

#define FOR(i, j, k) for (ll i = j; i < (ll) k; ++i)
#define FORD(i, j, k) for (ll i = j; i >= (ll) k; --i)
#define nl "\n"
#define sp " "

#define all(x) (x).begin(), (x).end()
#define sc second
#define fr first
#define pb push_back

struct SegTree {
    vi tree;
    ll id;
    ll n;

    SegTree(int N) {
        init(N, 0);
    }

    SegTree(int N, int x) {
        init(N, x);
    }

    void init(int N, int x) {
        id = x;
        n = N;
        while(__builtin_popcountll(n) != 1) ++n;
        tree.resize(2 * n, id);
    }

    void update(ll x, ll k) {
        k += n;
        tree[k] += x;

        for(k /= 2; k >= 1; k /= 2) {
            tree[k] = comb(tree[2 * k], tree[2 * k + 1]);
        }
    }

    ll query(int a, int b, int x, int y, int k) {
        if(a > y || b < x) return id;
        if(a <= x && y <= b) return tree[k];

        int d = (x + y) / 2;
        return comb(query(a, b, x, d, 2 * k), query(a, b, d + 1, y, 2 * k + 1));
    }

    ll query(int a, int b) {
        return query(a, b, 0, n - 1, 1);
    }

    ll comb(ll lhs, ll rhs) {
        return lhs + rhs;
    }

    void print() {
        FOR(i, 1, 2 * n) {
            cout << i << " : " << tree[i] << nl;
        }
    }
};

void solve()
{
    ll n;
    cin >> n;

    ll a[n];
    FOR(i, 0, n)
        cin >> a[i];

    ll b[n];
    FOR(i, 0, n)
        b[i] = a[i];
    sort(b, b + n);
    map<ll, ll> m;
    ll curr = 1;
    FOR(i, 0, n) {
        if(m.find(b[i]) == m.end()) {
            m[b[i]] = curr++;
        }
    }

    FOR(i, 0, n) {
        a[i] = m[a[i]];
    }

    SegTree sgt(n + 1);
    ll left[n], right[n];
    FOR(i, 0, n) {
        left[i] = sgt.query(0, a[i] - 1);
        sgt.update(1, a[i]);
    }

    FOR(i, 0, n) {
        sgt.update(-1, a[i]);
    }

    FORD(i, n - 1, 0) {
        right[i] = sgt.query(0, a[i] - 1);
        sgt.update(1, a[i]);
    }

    ll ans = 0;
    FOR(i, 0, n) {
        ans += left[i] * right[i];
    }

    cout << ans << nl;
}

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

    ll t = 1;
    // cin >> t;
    while (t--)
    {
        solve();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 280 ms 42184 KB Output is correct
3 Correct 284 ms 42192 KB Output is correct
4 Correct 280 ms 42160 KB Output is correct
5 Correct 281 ms 42128 KB Output is correct
6 Correct 287 ms 42216 KB Output is correct
7 Correct 284 ms 42184 KB Output is correct
8 Correct 288 ms 42368 KB Output is correct
9 Correct 243 ms 33100 KB Output is correct
10 Correct 244 ms 33096 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 18396 KB Output is correct
2 Correct 153 ms 18392 KB Output is correct
3 Correct 153 ms 18480 KB Output is correct
4 Correct 152 ms 18516 KB Output is correct
5 Correct 154 ms 18388 KB Output is correct
6 Correct 155 ms 18380 KB Output is correct
7 Correct 151 ms 18380 KB Output is correct
8 Correct 148 ms 18380 KB Output is correct
9 Correct 152 ms 18516 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 18396 KB Output is correct
2 Correct 153 ms 18392 KB Output is correct
3 Correct 153 ms 18480 KB Output is correct
4 Correct 152 ms 18516 KB Output is correct
5 Correct 154 ms 18388 KB Output is correct
6 Correct 155 ms 18380 KB Output is correct
7 Correct 151 ms 18380 KB Output is correct
8 Correct 148 ms 18380 KB Output is correct
9 Correct 152 ms 18516 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 151 ms 18768 KB Output is correct
12 Correct 156 ms 18764 KB Output is correct
13 Correct 153 ms 18660 KB Output is correct
14 Correct 150 ms 18656 KB Output is correct
15 Correct 155 ms 18764 KB Output is correct
16 Correct 151 ms 18764 KB Output is correct
17 Correct 157 ms 18664 KB Output is correct
18 Correct 124 ms 18772 KB Output is correct
19 Correct 125 ms 18776 KB Output is correct
20 Correct 1 ms 316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 428 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 428 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 320 KB Output is correct
11 Correct 9 ms 1612 KB Output is correct
12 Correct 10 ms 1620 KB Output is correct
13 Correct 9 ms 1616 KB Output is correct
14 Correct 9 ms 1620 KB Output is correct
15 Correct 10 ms 1620 KB Output is correct
16 Correct 9 ms 1620 KB Output is correct
17 Correct 10 ms 1612 KB Output is correct
18 Correct 8 ms 1236 KB Output is correct
19 Correct 6 ms 948 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 18396 KB Output is correct
2 Correct 153 ms 18392 KB Output is correct
3 Correct 153 ms 18480 KB Output is correct
4 Correct 152 ms 18516 KB Output is correct
5 Correct 154 ms 18388 KB Output is correct
6 Correct 155 ms 18380 KB Output is correct
7 Correct 151 ms 18380 KB Output is correct
8 Correct 148 ms 18380 KB Output is correct
9 Correct 152 ms 18516 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 151 ms 18768 KB Output is correct
12 Correct 156 ms 18764 KB Output is correct
13 Correct 153 ms 18660 KB Output is correct
14 Correct 150 ms 18656 KB Output is correct
15 Correct 155 ms 18764 KB Output is correct
16 Correct 151 ms 18764 KB Output is correct
17 Correct 157 ms 18664 KB Output is correct
18 Correct 124 ms 18772 KB Output is correct
19 Correct 125 ms 18776 KB Output is correct
20 Correct 1 ms 316 KB Output is correct
21 Correct 316 ms 25476 KB Output is correct
22 Correct 307 ms 25468 KB Output is correct
23 Correct 314 ms 25476 KB Output is correct
24 Correct 309 ms 25540 KB Output is correct
25 Correct 321 ms 25548 KB Output is correct
26 Correct 333 ms 25496 KB Output is correct
27 Correct 330 ms 25764 KB Output is correct
28 Correct 196 ms 25556 KB Output is correct
29 Correct 199 ms 25460 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 280 ms 42184 KB Output is correct
3 Correct 284 ms 42192 KB Output is correct
4 Correct 280 ms 42160 KB Output is correct
5 Correct 281 ms 42128 KB Output is correct
6 Correct 287 ms 42216 KB Output is correct
7 Correct 284 ms 42184 KB Output is correct
8 Correct 288 ms 42368 KB Output is correct
9 Correct 243 ms 33100 KB Output is correct
10 Correct 244 ms 33096 KB Output is correct
11 Correct 158 ms 18396 KB Output is correct
12 Correct 153 ms 18392 KB Output is correct
13 Correct 153 ms 18480 KB Output is correct
14 Correct 152 ms 18516 KB Output is correct
15 Correct 154 ms 18388 KB Output is correct
16 Correct 155 ms 18380 KB Output is correct
17 Correct 151 ms 18380 KB Output is correct
18 Correct 148 ms 18380 KB Output is correct
19 Correct 152 ms 18516 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 151 ms 18768 KB Output is correct
22 Correct 156 ms 18764 KB Output is correct
23 Correct 153 ms 18660 KB Output is correct
24 Correct 150 ms 18656 KB Output is correct
25 Correct 155 ms 18764 KB Output is correct
26 Correct 151 ms 18764 KB Output is correct
27 Correct 157 ms 18664 KB Output is correct
28 Correct 124 ms 18772 KB Output is correct
29 Correct 125 ms 18776 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 1 ms 428 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 328 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 320 KB Output is correct
41 Correct 9 ms 1612 KB Output is correct
42 Correct 10 ms 1620 KB Output is correct
43 Correct 9 ms 1616 KB Output is correct
44 Correct 9 ms 1620 KB Output is correct
45 Correct 10 ms 1620 KB Output is correct
46 Correct 9 ms 1620 KB Output is correct
47 Correct 10 ms 1612 KB Output is correct
48 Correct 8 ms 1236 KB Output is correct
49 Correct 6 ms 948 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 316 ms 25476 KB Output is correct
52 Correct 307 ms 25468 KB Output is correct
53 Correct 314 ms 25476 KB Output is correct
54 Correct 309 ms 25540 KB Output is correct
55 Correct 321 ms 25548 KB Output is correct
56 Correct 333 ms 25496 KB Output is correct
57 Correct 330 ms 25764 KB Output is correct
58 Correct 196 ms 25556 KB Output is correct
59 Correct 199 ms 25460 KB Output is correct
60 Correct 1 ms 316 KB Output is correct
61 Correct 528 ms 42128 KB Output is correct
62 Correct 552 ms 42128 KB Output is correct
63 Correct 527 ms 42132 KB Output is correct
64 Correct 539 ms 42124 KB Output is correct
65 Correct 560 ms 42200 KB Output is correct
66 Correct 541 ms 42204 KB Output is correct
67 Correct 540 ms 42132 KB Output is correct
68 Correct 427 ms 33096 KB Output is correct
69 Correct 357 ms 27768 KB Output is correct
70 Correct 0 ms 212 KB Output is correct