oj.uz

Submission #894468

# Submission time Handle Problem Language Result Execution time Memory
894468 2023-12-28T10:19:53 Z Dec0Dedd Fancy Fence (CEOI20_fancyfence) C++14
100 / 100
 23 ms 5972 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int N = 1e5+10;
const int MOD = 1e9+7;

ll h[N], w[N], pw[N], dp[N], n;

void solve() {
    cin>>n;
    for (int i=1; i<=n; ++i) cin>>h[i];
    for (int i=1; i<=n; ++i) cin>>w[i];

    for (int i=1; i<=n; ++i) pw[i]=pw[i-1]+w[i], pw[i]%=MOD;
    dp[0]=0, h[0]=0;

    ll ans=0; // dp[i] -> from {1, 2, ..., i} ends on rightmost point of i
    stack<int> st; st.push(0);

    for (int i=1; i<=n; ++i) {
        while (h[st.top()] > h[i]) st.pop();
        ll hl=(h[i]*(h[i]+1)/2)%MOD;

        // add all rects which start before (st.top())
        (ans+=dp[st.top()]*w[i])%=MOD;

        // add all rects which contains atleast one from w[i] and suffix of others
        (ans+=(w[i]*(pw[i-1]-pw[st.top()]+1)%MOD)*hl)%=MOD;
        (ans+=((w[i]*(w[i]-1)/2)%MOD)*hl)%=MOD;

        (dp[i]+=dp[st.top()]+(pw[i]-pw[st.top()])*hl)%=MOD;
        st.push(i);
    }

    /*
    cout<<"dp: ";
    for (int i=1; i<=n; ++i) cout<<dp[i]<<" ";
    cout<<"\n"; */
    ans%=MOD;
    (ans+=MOD)%=MOD;

    assert(ans >= 0 && ans < MOD);
    cout<<ans<<"\n";
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
    
    int t=1; //cin>>t;
    while (t--) solve();
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2548 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 7 ms 3164 KB Output is correct
4 Correct 14 ms 3812 KB Output is correct
5 Correct 14 ms 3644 KB Output is correct
6 Correct 14 ms 3420 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 9 ms 3180 KB Output is correct
4 Correct 17 ms 3928 KB Output is correct
5 Correct 23 ms 3932 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2576 KB Output is correct
4 Correct 9 ms 3160 KB Output is correct
5 Correct 17 ms 3932 KB Output is correct
6 Correct 18 ms 3932 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 2 ms 2652 KB Output is correct
9 Correct 9 ms 3164 KB Output is correct
10 Correct 17 ms 3924 KB Output is correct
11 Correct 17 ms 3932 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2520 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2516 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2528 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2476 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 2848 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2516 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 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 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2460 KB Output is correct
11 Correct 8 ms 3760 KB Output is correct
12 Correct 16 ms 5096 KB Output is correct
13 Correct 15 ms 4692 KB Output is correct
14 Correct 14 ms 4696 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 4 ms 2908 KB Output is correct
17 Correct 12 ms 4144 KB Output is correct
18 Correct 18 ms 5732 KB Output is correct
19 Correct 18 ms 5972 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 3 ms 2908 KB Output is correct
22 Correct 10 ms 4188 KB Output is correct
23 Correct 17 ms 5716 KB Output is correct
24 Correct 17 ms 5912 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2392 KB Output is correct
30 Correct 2 ms 2648 KB Output is correct
31 Correct 2 ms 2796 KB Output is correct
32 Correct 9 ms 3932 KB Output is correct
33 Correct 12 ms 3864 KB Output is correct
34 Correct 20 ms 5640 KB Output is correct
35 Correct 17 ms 5212 KB Output is correct
36 Correct 18 ms 5456 KB Output is correct
37 Correct 18 ms 5468 KB Output is correct
38 Correct 1 ms 2516 KB Output is correct
39 Correct 17 ms 5456 KB Output is correct
40 Correct 17 ms 5468 KB Output is correct
41 Correct 17 ms 5324 KB Output is correct
42 Correct 23 ms 5972 KB Output is correct