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Submission #987867

# Submission time Handle Problem Language Result Execution time Memory
987867 2024-05-23T17:41:52 Z VMaksimoski008 Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 110 ms 9036 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
using ll = long long;

const int mod = 1e9 + 7;

ll exp(ll a, ll b) {
    ll ans = 1;
    while(b) {
        if(b & 1) ans = (ans * a) % mod;
        a = (a * a) % mod;
        b /= 2;
    }
    return ans;
}

ll inv(ll a) { return exp(a, mod - 2); }
ll C(ll a) { return a * (a + 1) % mod * inv(2) % mod; }
ll S(ll l, ll r) { return (C(r%mod) - C((l-1+mod)%mod) + mod) % mod; }

struct DSU {
    int n, comp;
    vector<int> par, size, W;

    void config(int _n) {
        n = _n + 1;
        comp = _n;
        par.resize(n+1);
        size.resize(n+1, 1);
        W.resize(n+1);
        for(int i=1; i<=n; i++) par[i] = i;
    }

    int get(int u) {
        if(u == par[u]) return u;
        return par[u] = get(par[u]);
    }

    bool uni(int u, int v) {
        u = get(u), v = get(v);

        if(u == v) return 0;
        if(size[u] < size[v]) swap(u, v);

        size[u] += size[v];
        W[u] = (W[u] + W[v]) % mod;
        par[v] = u;

        return 1;
    }

    void setW(int p, int w) { W[get(p)] += w; }
    ll getW(int p) { return W[get(p)]; }
};

struct Edge {
    int a, b, w;
    bool operator<(Edge &e) { return w > e.w;}
};


int32_t main() {
    int n;
    cin >> n;
    vector<ll> 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];

    ll ans = 0;

    for(int i=1; i<=n; i++) ans = (ans + C(w[i]) * C(h[i])) % mod;

    DSU dsu; dsu.config(n);
    for(int i=1; i<=n; i++) dsu.setW(i, w[i]);

    vector<Edge> edges;
    for(int i=1; i<n; i++) edges.push_back({ i, i + 1, min(h[i], h[i+1]) });
    sort(edges.begin(), edges.end());

    for(Edge &e : edges) {
        ll L = dsu.getW(e.a), R = dsu.getW(e.b);
        dsu.uni(e.a, e.b);
        ans = (ans + (R + mod) % mod * C(e.w) % mod * (L + mod) % mod) % mod;
    }

    cout << ans << '\n';
    return 0;
}

Subtask #1
0.0 / 0.0

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

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 600 KB Output is correct
5 Correct 1 ms 348 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 40 ms 4052 KB Output is correct
4 Correct 82 ms 7504 KB Output is correct
5 Correct 82 ms 7480 KB Output is correct
6 Correct 82 ms 7484 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 500 KB Output is correct
2 Correct 10 ms 1308 KB Output is correct
3 Correct 48 ms 3904 KB Output is correct
4 Correct 97 ms 8136 KB Output is correct
5 Correct 102 ms 8784 KB Output is correct
6 Correct 1 ms 344 KB Output is correct

Subtask #5
15.0 / 15.0

# 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 11 ms 1304 KB Output is correct
4 Correct 49 ms 4044 KB Output is correct
5 Correct 98 ms 7368 KB Output is correct
6 Correct 109 ms 7488 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 10 ms 1560 KB Output is correct
9 Correct 49 ms 4052 KB Output is correct
10 Correct 94 ms 7504 KB Output is correct
11 Correct 99 ms 7364 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 0 ms 348 KB Output is correct
2 Correct 1 ms 520 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 544 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 2 ms 348 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 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 348 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 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 2 ms 348 KB Output is correct
3 Correct 1 ms 348 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 44 ms 3900 KB Output is correct
12 Correct 79 ms 8248 KB Output is correct
13 Correct 82 ms 8656 KB Output is correct
14 Correct 82 ms 7476 KB Output is correct
15 Correct 2 ms 348 KB Output is correct
16 Correct 10 ms 1308 KB Output is correct
17 Correct 49 ms 4040 KB Output is correct
18 Correct 98 ms 8508 KB Output is correct
19 Correct 101 ms 7476 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 11 ms 1308 KB Output is correct
22 Correct 49 ms 3892 KB Output is correct
23 Correct 94 ms 8644 KB Output is correct
24 Correct 99 ms 8764 KB Output is correct
25 Correct 2 ms 500 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 11 ms 1304 KB Output is correct
31 Correct 11 ms 1304 KB Output is correct
32 Correct 49 ms 4040 KB Output is correct
33 Correct 52 ms 4040 KB Output is correct
34 Correct 99 ms 7368 KB Output is correct
35 Correct 100 ms 7372 KB Output is correct
36 Correct 102 ms 9036 KB Output is correct
37 Correct 110 ms 7628 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 103 ms 8252 KB Output is correct
40 Correct 100 ms 7372 KB Output is correct
41 Correct 100 ms 7532 KB Output is correct
42 Correct 101 ms 7364 KB Output is correct