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Submission #987284

# Submission time Handle Problem Language Result Execution time Memory
987284 2024-05-22T13:45:29 Z aykhn Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 93 ms 16472 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
#define int long long
 
const int mod = 1e9 + 7;
 
int add(int a, int b)
{
    a %= mod, b %= mod;
    return (((a + b) % mod) + mod) % mod;
}
int mult(int a, int b)
{
    a %= mod, b %= mod;
    return (((a * b) % mod) + mod) % mod;
}
int sum(int l, int r)
{
    return ((r - l + 1) * (l + r) / 2) % mod;
}
 
int res = 0;
 
struct DSU
{
    int n;
    vector<int> e, val;
    void init(int N)
    {
        n = N;
        e.assign(n + 1, -1);
        val.assign(n + 1, 0);
    }
    int get(int x)
    {
        if (e[x] < 0) return x;
        return e[x] = get(e[x]);
    }
    void makeval(int x, int y)
    {
        x = get(x);
        val[x] = y;
        res = add(res, val[x] * (val[x] + 1) / 2);
    }
    void unite(int x, int y)
    {
        x = get(x), y = get(y);
        if (x == y) return;
        if (e[x] > e[y]) swap(x, y);
        res = add(res, mult(val[x], val[y]));
        val[x] = add(val[x], val[y]);
        val[y] = 0;
        e[x] += e[y];
        e[y] = x;
    }
};
 
signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    int h[n + 1], w[n + 1];
    for (int i = 1; i <= n; i++) cin >> h[i];
    for (int i = 1; i <= n; i++) cin >> w[i];
    map<int, vector<int>> mp;
    for (int i = 1; i <= n; i++) mp[h[i]].push_back(i);
    DSU dsu;
    dsu.init(n);
    int ans = 0;
    for (auto it = mp.rbegin(); it != mp.rend(); it++)
    {
        auto &[a, b] = *it;
        for (int i : b) dsu.makeval(i, w[i]);
        for (int i : b) 
        {
            if (i - 1 >= 1 && h[i - 1] >= a) dsu.unite(i, i - 1);
            if (i + 1 <= n && h[i + 1] >= a) dsu.unite(i, i + 1);
        }
        auto it1 = it;
        it1++;
        int nxt = 0;
        if (it1 != mp.rend()) nxt = (*it1).first;
        ans = add(ans, mult(sum(nxt + 1, a), res));
    }
    cout << ans << '\n';
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct

Subtask #2
12.0 / 12.0

# 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 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct

Subtask #3
13.0 / 13.0

# 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 10 ms 3032 KB Output is correct
4 Correct 19 ms 5712 KB Output is correct
5 Correct 19 ms 5584 KB Output is correct
6 Correct 18 ms 5604 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 3 ms 976 KB Output is correct
3 Correct 11 ms 3292 KB Output is correct
4 Correct 22 ms 6352 KB Output is correct
5 Correct 25 ms 6360 KB Output is correct
6 Correct 1 ms 348 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 408 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 4 ms 860 KB Output is correct
4 Correct 13 ms 3292 KB Output is correct
5 Correct 22 ms 6344 KB Output is correct
6 Correct 25 ms 6348 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 5 ms 1824 KB Output is correct
9 Correct 16 ms 5560 KB Output is correct
10 Correct 43 ms 16336 KB Output is correct
11 Correct 42 ms 16220 KB Output is correct
12 Correct 1 ms 344 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 2 ms 488 KB Output is correct
3 Correct 1 ms 452 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 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 600 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 10 ms 3032 KB Output is correct
12 Correct 19 ms 5708 KB Output is correct
13 Correct 19 ms 5584 KB Output is correct
14 Correct 18 ms 5620 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 11 ms 3288 KB Output is correct
18 Correct 22 ms 6360 KB Output is correct
19 Correct 22 ms 6356 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 4 ms 1884 KB Output is correct
22 Correct 16 ms 5460 KB Output is correct
23 Correct 44 ms 16208 KB Output is correct
24 Correct 43 ms 16212 KB Output is correct
25 Correct 1 ms 792 KB Output is correct
26 Correct 1 ms 504 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 5 ms 1824 KB Output is correct
31 Correct 5 ms 1884 KB Output is correct
32 Correct 13 ms 3420 KB Output is correct
33 Correct 29 ms 8264 KB Output is correct
34 Correct 69 ms 15640 KB Output is correct
35 Correct 25 ms 6232 KB Output is correct
36 Correct 93 ms 16468 KB Output is correct
37 Correct 68 ms 12116 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 52 ms 10836 KB Output is correct
40 Correct 56 ms 16212 KB Output is correct
41 Correct 52 ms 16472 KB Output is correct
42 Correct 41 ms 16464 KB Output is correct