Submission #865694

# Submission time Handle Problem Language Result Execution time Memory
865694 2023-10-24T14:11:05 Z boris_mihov Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
20 ms 5976 KB
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>
#include <stack>
 
typedef long long llong;
const int MAXN = 100000 + 10;
const int MOD = 1e9 + 7;
const int INF = 2e9;
 
int n;
llong h[MAXN];
llong w[MAXN];
int prev[MAXN];
int next[MAXN];
llong prefix[MAXN];
std::stack <int> st;
void solve()
{  
    for (int i = 1 ; i <= n ; ++i)
    {
        prefix[i] = prefix[i - 1] + w[i];
    } 
 
    h[0] = h[n + 1] = 0;
    st.push(0);
 
    for (int i = 1 ; i <= n ; ++i)
    {
        while (h[st.top()] > h[i])
        {
            st.pop();
        }
 
        prev[i] = st.top();
        st.push(i);
    }
 
    while (st.size()) st.pop();
    st.push(n + 1);
 
    for (int i = n ; i >= 1 ; --i)
    {
        while (h[st.top()] >= h[i])
        {
            st.pop();
        }
 
        next[i] = st.top();
        st.push(i);
    }
 
    llong ans = 0;
    for (int i = 1 ; i <= n ; ++i)
    {
        llong cntPrev = (prefix[i - 1] - prefix[prev[i]]) % MOD;
        llong cntNext = (prefix[next[i] - 1] - prefix[i]) % MOD;
        ans += ((cntPrev * cntNext) % MOD) * ((h[i] * (h[i] + 1) / 2) % MOD);
        ans += ((cntPrev * w[i]) % MOD) * ((h[i] * (h[i] + 1) / 2) % MOD);
        ans += ((cntNext * w[i]) % MOD) * ((h[i] * (h[i] + 1) / 2) % MOD);
        ans += ((w[i] * (w[i] + 1) / 2) % MOD) * ((h[i] * (h[i] + 1) / 2) % MOD);
        ans %= MOD;
    }
 
    std::cout << ans << '\n';
}   
 
void input()
{
    std::cin >> n;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> h[i];
    }
 
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> w[i];
    }
}
 
void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}
 
int main()
{
    fastIOI();
    input();
    solve();
 
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 8 ms 3676 KB Output is correct
4 Correct 15 ms 4956 KB Output is correct
5 Correct 15 ms 4684 KB Output is correct
6 Correct 14 ms 4696 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 2 ms 2908 KB Output is correct
3 Correct 11 ms 4068 KB Output is correct
4 Correct 19 ms 5724 KB Output is correct
5 Correct 19 ms 5972 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2792 KB Output is correct
4 Correct 9 ms 4140 KB Output is correct
5 Correct 18 ms 5712 KB Output is correct
6 Correct 19 ms 5976 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 3 ms 2904 KB Output is correct
9 Correct 9 ms 4052 KB Output is correct
10 Correct 18 ms 5588 KB Output is correct
11 Correct 18 ms 5712 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2524 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2520 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2400 KB Output is correct
5 Correct 0 ms 2400 KB Output is correct
6 Correct 1 ms 2400 KB Output is correct
7 Correct 0 ms 2516 KB Output is correct
8 Correct 0 ms 2400 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 8 ms 3680 KB Output is correct
12 Correct 15 ms 5212 KB Output is correct
13 Correct 15 ms 4700 KB Output is correct
14 Correct 15 ms 4700 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 2 ms 2908 KB Output is correct
17 Correct 10 ms 4080 KB Output is correct
18 Correct 17 ms 5724 KB Output is correct
19 Correct 18 ms 5964 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2908 KB Output is correct
22 Correct 9 ms 4184 KB Output is correct
23 Correct 17 ms 5588 KB Output is correct
24 Correct 18 ms 5724 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2552 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 9 ms 3924 KB Output is correct
33 Correct 10 ms 3932 KB Output is correct
34 Correct 18 ms 5072 KB Output is correct
35 Correct 18 ms 5288 KB Output is correct
36 Correct 19 ms 5416 KB Output is correct
37 Correct 20 ms 5460 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 18 ms 5332 KB Output is correct
40 Correct 18 ms 5468 KB Output is correct
41 Correct 18 ms 5584 KB Output is correct
42 Correct 18 ms 5724 KB Output is correct