oj.uz

Submission #835792

# Submission time Handle Problem Language Result Execution time Memory
835792 2023-08-23T20:04:26 Z VMaksimoski008 Mountains (NOI20_mountains) C++14
100 / 100
 757 ms 52840 KB 
#include <bits/stdc++.h>

#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define uniq(x) x.erase(unique(all(x)), x.end())
#define rall(x) x.rbegin(), x.rend()
#define int long long

using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;

void setIO() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
}

struct SegTree {
    int n;
    vector<int> tree;

    SegTree(int n) : n(n), tree(4*n+5) {}

    void update(int u, int tl, int tr, int pos, int val) {
        if(tl == tr) {
            tree[u] += val;
        } else {
            int tm = (tl + tr) / 2;
            if(pos <= tm)
                update(2*u, tl, tm, pos, val);
            else
                update(2*u+1, tm+1, tr, pos, val);
            tree[u] = tree[2*u] + tree[2*u+1];
        }
    }

    int query(int u, int tl, int tr, int l, int r) {
        if(tl > tr || l > tr || tl > r) return 0;
        if(l <= tl && tr <= r) return tree[u];
        int tm = (tl + tr) / 2;
        return query(2*u, tl, tm, l, r)
        + query(2*u+1, tm+1, tr, l, r);
    }

    void update(int pos, int val) {
        update(1, 0, n-1, pos, val);
    }

    int query(int l, int r) {
        return query(1, 0, n-1, l, r);
    }
};

int32_t main() {
    setIO();

    int n;
    cin >> n;
    vector<ll> v(n);
    for(ll &x : v) cin >> x;

    vector<ll> tmp(v);
    map<ll, int> key;
    sort(all(tmp));
    uniq(tmp);

    for(int i=0; i<tmp.size(); i++)
        key[tmp[i]] = i;
    
    vector<int> dp_left(n), dp_right(n);
    SegTree tree_left(tmp.size());
    SegTree tree_right(tmp.size());

    //calcs elements smaller than x left from x
    for(int i=0; i<n; i++) {
        int pos = key[v[i]];
        dp_left[i] = tree_left.query(0, pos-1);
        tree_left.update(pos, 1);
    }

    //calcs elements smaller than x right from x
    for(int i=n-1; i>=0; i--) {
        int pos = key[v[i]];
        dp_right[i] = tree_right.query(0, pos-1);
        tree_right.update(pos, 1);
    }

    ll ans = 0;
    for(int i=0; i<n; i++)
        ans += 1ll * (dp_left[i] * dp_right[i]);
    cout << ans << '\n';
    return 0;
}

Compilation message

Mountains.cpp: In function 'int32_t main()':
Mountains.cpp:79:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |     for(int i=0; i<tmp.size(); i++)
      |                  ~^~~~~~~~~~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 255 ms 47280 KB Output is correct
3 Correct 254 ms 47284 KB Output is correct
4 Correct 256 ms 47344 KB Output is correct
5 Correct 255 ms 47208 KB Output is correct
6 Correct 255 ms 47276 KB Output is correct
7 Correct 268 ms 47332 KB Output is correct
8 Correct 253 ms 47180 KB Output is correct
9 Correct 196 ms 29100 KB Output is correct
10 Correct 192 ms 29168 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 9716 KB Output is correct
2 Correct 27 ms 10224 KB Output is correct
3 Correct 28 ms 10212 KB Output is correct
4 Correct 27 ms 10320 KB Output is correct
5 Correct 28 ms 10296 KB Output is correct
6 Correct 28 ms 10176 KB Output is correct
7 Correct 29 ms 10312 KB Output is correct
8 Correct 22 ms 10312 KB Output is correct
9 Correct 22 ms 10308 KB Output is correct
10 Correct 1 ms 320 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 9716 KB Output is correct
2 Correct 27 ms 10224 KB Output is correct
3 Correct 28 ms 10212 KB Output is correct
4 Correct 27 ms 10320 KB Output is correct
5 Correct 28 ms 10296 KB Output is correct
6 Correct 28 ms 10176 KB Output is correct
7 Correct 29 ms 10312 KB Output is correct
8 Correct 22 ms 10312 KB Output is correct
9 Correct 22 ms 10308 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 83 ms 10580 KB Output is correct
12 Correct 81 ms 10556 KB Output is correct
13 Correct 77 ms 10480 KB Output is correct
14 Correct 76 ms 10444 KB Output is correct
15 Correct 76 ms 10572 KB Output is correct
16 Correct 75 ms 10576 KB Output is correct
17 Correct 79 ms 10444 KB Output is correct
18 Correct 41 ms 10444 KB Output is correct
19 Correct 45 ms 10580 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #4
36.0 / 36.0

# 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 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #5
28.0 / 28.0

# 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 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 10 ms 1876 KB Output is correct
12 Correct 10 ms 1876 KB Output is correct
13 Correct 10 ms 1876 KB Output is correct
14 Correct 10 ms 1876 KB Output is correct
15 Correct 10 ms 1876 KB Output is correct
16 Correct 10 ms 1876 KB Output is correct
17 Correct 12 ms 1876 KB Output is correct
18 Correct 10 ms 1108 KB Output is correct
19 Correct 5 ms 596 KB Output is correct
20 Correct 0 ms 212 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 9716 KB Output is correct
2 Correct 27 ms 10224 KB Output is correct
3 Correct 28 ms 10212 KB Output is correct
4 Correct 27 ms 10320 KB Output is correct
5 Correct 28 ms 10296 KB Output is correct
6 Correct 28 ms 10176 KB Output is correct
7 Correct 29 ms 10312 KB Output is correct
8 Correct 22 ms 10312 KB Output is correct
9 Correct 22 ms 10308 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 83 ms 10580 KB Output is correct
12 Correct 81 ms 10556 KB Output is correct
13 Correct 77 ms 10480 KB Output is correct
14 Correct 76 ms 10444 KB Output is correct
15 Correct 76 ms 10572 KB Output is correct
16 Correct 75 ms 10576 KB Output is correct
17 Correct 79 ms 10444 KB Output is correct
18 Correct 41 ms 10444 KB Output is correct
19 Correct 45 ms 10580 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 420 ms 23392 KB Output is correct
22 Correct 359 ms 23244 KB Output is correct
23 Correct 374 ms 23356 KB Output is correct
24 Correct 374 ms 23292 KB Output is correct
25 Correct 387 ms 23340 KB Output is correct
26 Correct 367 ms 23228 KB Output is correct
27 Correct 386 ms 23344 KB Output is correct
28 Correct 151 ms 23324 KB Output is correct
29 Correct 152 ms 23264 KB Output is correct
30 Correct 0 ms 212 KB Output is correct

Subtask #7
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 255 ms 47280 KB Output is correct
3 Correct 254 ms 47284 KB Output is correct
4 Correct 256 ms 47344 KB Output is correct
5 Correct 255 ms 47208 KB Output is correct
6 Correct 255 ms 47276 KB Output is correct
7 Correct 268 ms 47332 KB Output is correct
8 Correct 253 ms 47180 KB Output is correct
9 Correct 196 ms 29100 KB Output is correct
10 Correct 192 ms 29168 KB Output is correct
11 Correct 27 ms 9716 KB Output is correct
12 Correct 27 ms 10224 KB Output is correct
13 Correct 28 ms 10212 KB Output is correct
14 Correct 27 ms 10320 KB Output is correct
15 Correct 28 ms 10296 KB Output is correct
16 Correct 28 ms 10176 KB Output is correct
17 Correct 29 ms 10312 KB Output is correct
18 Correct 22 ms 10312 KB Output is correct
19 Correct 22 ms 10308 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 83 ms 10580 KB Output is correct
22 Correct 81 ms 10556 KB Output is correct
23 Correct 77 ms 10480 KB Output is correct
24 Correct 76 ms 10444 KB Output is correct
25 Correct 76 ms 10572 KB Output is correct
26 Correct 75 ms 10576 KB Output is correct
27 Correct 79 ms 10444 KB Output is correct
28 Correct 41 ms 10444 KB Output is correct
29 Correct 45 ms 10580 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 340 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 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 10 ms 1876 KB Output is correct
42 Correct 10 ms 1876 KB Output is correct
43 Correct 10 ms 1876 KB Output is correct
44 Correct 10 ms 1876 KB Output is correct
45 Correct 10 ms 1876 KB Output is correct
46 Correct 10 ms 1876 KB Output is correct
47 Correct 12 ms 1876 KB Output is correct
48 Correct 10 ms 1108 KB Output is correct
49 Correct 5 ms 596 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 420 ms 23392 KB Output is correct
52 Correct 359 ms 23244 KB Output is correct
53 Correct 374 ms 23356 KB Output is correct
54 Correct 374 ms 23292 KB Output is correct
55 Correct 387 ms 23340 KB Output is correct
56 Correct 367 ms 23228 KB Output is correct
57 Correct 386 ms 23344 KB Output is correct
58 Correct 151 ms 23324 KB Output is correct
59 Correct 152 ms 23264 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 720 ms 52832 KB Output is correct
62 Correct 745 ms 52836 KB Output is correct
63 Correct 753 ms 52840 KB Output is correct
64 Correct 729 ms 52840 KB Output is correct
65 Correct 757 ms 52836 KB Output is correct
66 Correct 734 ms 52840 KB Output is correct
67 Correct 742 ms 52836 KB Output is correct
68 Correct 515 ms 34744 KB Output is correct
69 Correct 402 ms 27820 KB Output is correct
70 Correct 0 ms 212 KB Output is correct