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Submission #573135

# Submission time Handle Problem Language Result Execution time Memory
573135 2022-06-06T04:02:15 Z piOOE Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 31 ms 5456 KB 
#include <bits/stdc++.h>

using namespace std;

#define sz(x) ((int)size(x))
#define all(x) begin(x), end(x)
#define trace(x) cout << #x << ": " << (x) << endl;

typedef long long ll;

mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());

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

const int N = 100001;
ll mod = 1e9 + 7;

int h[N], R[N], L[N];

ll w[N];
ll pref[N];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> h[i];
    }
    for (int i = 1; i <= n; ++i) {
        cin >> w[i];
    }
    int id = 1;
    for (int i = 1; i <= n;) {
        int j = i;
        ll sum = 0;
        while (j <= n && h[j] == h[i]) {
            sum += w[j];
            j += 1;
        }
        h[id] = h[i];
        w[id] = sum;
        ++id;
        i = j;
    }
    n = id - 1;
    vector<int> st;
    for (int i = 1; i <= n; ++i) {
        while (!st.empty() && h[st.back()] > h[i]) {
            R[st.back()] = i;
            st.pop_back();
        }
        if (st.empty()) {
            L[i] = 0;
        } else {
            L[i] = st.back();
        }
        st.push_back(i);
    }
    for (int x : st) {
        R[x] = n + 1;
    }
    for (int i = 1; i <= n; ++i) {
        w[i] %= mod;
        pref[i] = pref[i - 1] + w[i];
    }
    ll ans = 0;
    const ll inv2 = (mod + 1) / 2;
    for (int i = 1; i <= n; ++i) {
        ll sumR = (pref[R[i] - 1] - pref[i]) % mod;
        ll sumL = (pref[i - 1] - pref[L[i]]) % mod;
        ll x = (h[i] * (ll)(h[i] + 1)) % mod * inv2 % mod;
        ll now = (sumR * (sumL + w[i])) % mod;
        now = (now + (sumL + w[i]) * (sumL + w[i] + 1) % mod * inv2 % mod - sumL * (sumL + 1) % mod * inv2 % mod) % mod;
        now = (now + mod) % mod;
        ans = (ans + now * x) % mod;
    }
    cout << ans;
    return 0;
}

Subtask #1
0.0 / 0.0

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

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 10 ms 2004 KB Output is correct
4 Correct 22 ms 3188 KB Output is correct
5 Correct 24 ms 3536 KB Output is correct
6 Correct 22 ms 2924 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 596 KB Output is correct
3 Correct 10 ms 1852 KB Output is correct
4 Correct 20 ms 3424 KB Output is correct
5 Correct 23 ms 3448 KB Output is correct
6 Correct 1 ms 336 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 3 ms 580 KB Output is correct
4 Correct 10 ms 1876 KB Output is correct
5 Correct 19 ms 3408 KB Output is correct
6 Correct 23 ms 3548 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 4 ms 840 KB Output is correct
9 Correct 12 ms 2388 KB Output is correct
10 Correct 30 ms 5332 KB Output is correct
11 Correct 28 ms 5440 KB Output is correct
12 Correct 0 ms 340 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 368 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 10 ms 2004 KB Output is correct
12 Correct 22 ms 3276 KB Output is correct
13 Correct 20 ms 3628 KB Output is correct
14 Correct 17 ms 2992 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 11 ms 1864 KB Output is correct
18 Correct 19 ms 3376 KB Output is correct
19 Correct 22 ms 3488 KB Output is correct
20 Correct 1 ms 368 KB Output is correct
21 Correct 4 ms 852 KB Output is correct
22 Correct 14 ms 2364 KB Output is correct
23 Correct 30 ms 5360 KB Output is correct
24 Correct 29 ms 5456 KB Output is correct
25 Correct 1 ms 432 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 368 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 3 ms 716 KB Output is correct
31 Correct 4 ms 728 KB Output is correct
32 Correct 14 ms 2464 KB Output is correct
33 Correct 15 ms 2648 KB Output is correct
34 Correct 28 ms 4692 KB Output is correct
35 Correct 29 ms 4724 KB Output is correct
36 Correct 30 ms 4968 KB Output is correct
37 Correct 30 ms 4992 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 30 ms 5060 KB Output is correct
40 Correct 29 ms 4940 KB Output is correct
41 Correct 31 ms 5080 KB Output is correct
42 Correct 29 ms 5304 KB Output is correct