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Submission #856445

# Submission time Handle Problem Language Result Execution time Memory
856445 2023-10-03T13:47:28 Z Niktop Fancy Fence (CEOI20_fancyfence) C++14
100 / 100
 25 ms 6500 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define pii pair<int,int>
#define mii map<int,int>
#define F first
#define S second
#define pb push_back
#define fast ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#pragma GCC optimize ("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize ("-O2")

const int N = 1e5+5, mod = 1e9+7;
int h[N], w[N], ans[N], ps[N];
vector <int> v;
int inv2;
int pw(int a, int b)
{
    if (b == 0)
        return 1;
    if (b % 2 == 1)
        return (pw(a * a % mod, b/2) % mod) * a % mod;
    return pw(a * a % mod, b/2) % mod;
}

int c2(int x)
{
    x %= mod;
    return (x * (x-1+mod) % mod) * inv2 % mod;
}

int tr(int hr, int wr)
{
    hr %= mod, wr %= mod;
    int a;
    a = (((c2(hr * wr % mod) + (hr * c2(wr))) % mod) +  (wr * c2(hr))) % mod;
    a = (a * inv2) % mod;
    return (a + (hr * wr%mod))%mod;
}
int32_t main()
{
    fast
    int n;
    cin >> n;
    inv2 = pw(2,mod-2);
    for (int i = 1; i <= n; i++)
        cin >> h[i];
    for (int i = 1; i <= n; i++)
        cin >> w[i], ps[i] = ps[i-1] + w[i], ps[i] %= mod;
    h[0] = 0;
    v.pb(0);
    int sum = 0;
    for (int i = 1; i <= n; i++)
    {
        while (h[v[v.size()-1]]>=h[i])
            v.pop_back();
        int j = v[v.size()-1];
        v.pb(i);
        int tw = (ps[i] - ps[j] + mod)%mod;
        ans[i] = (tr(tw,h[i]) - tr(tw-w[i]+mod,h[i])+mod);
        ans[i] %= mod;
        ans[i] += (w[i]*ans[j])%mod;
        ans[i] %= mod;
        sum += ans[i];
        sum %= mod;
        ans[i] = ((c2(h[i]) + h[i])%mod * tw)%mod + ans[j];
        ans[i] %= mod;
    }
    cout << sum << endl;
}

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 2396 KB Output is correct
2 Correct 0 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 0 ms 2396 KB Output is correct

Subtask #3
13.0 / 13.0

# 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 9 ms 3672 KB Output is correct
4 Correct 19 ms 4700 KB Output is correct
5 Correct 19 ms 4692 KB Output is correct
6 Correct 19 ms 4696 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 3 ms 2652 KB Output is correct
3 Correct 11 ms 2908 KB Output is correct
4 Correct 22 ms 3416 KB Output is correct
5 Correct 22 ms 3588 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct

Subtask #5
15.0 / 15.0

# 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 3 ms 2652 KB Output is correct
4 Correct 11 ms 3164 KB Output is correct
5 Correct 21 ms 3416 KB Output is correct
6 Correct 22 ms 3420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 3 ms 2896 KB Output is correct
9 Correct 11 ms 4444 KB Output is correct
10 Correct 22 ms 6364 KB Output is correct
11 Correct 22 ms 6500 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 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2552 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2528 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

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 2392 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 1 ms 2396 KB Output is correct
8 Correct 1 ms 2516 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 10 ms 3464 KB Output is correct
12 Correct 18 ms 4700 KB Output is correct
13 Correct 19 ms 4688 KB Output is correct
14 Correct 18 ms 4700 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 3 ms 2780 KB Output is correct
17 Correct 13 ms 3928 KB Output is correct
18 Correct 22 ms 5532 KB Output is correct
19 Correct 23 ms 5584 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 3 ms 2844 KB Output is correct
22 Correct 12 ms 4468 KB Output is correct
23 Correct 22 ms 6480 KB Output is correct
24 Correct 23 ms 6448 KB Output is correct
25 Correct 1 ms 2396 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 2396 KB Output is correct
30 Correct 3 ms 2808 KB Output is correct
31 Correct 3 ms 2652 KB Output is correct
32 Correct 11 ms 3928 KB Output is correct
33 Correct 12 ms 4060 KB Output is correct
34 Correct 22 ms 5212 KB Output is correct
35 Correct 22 ms 5248 KB Output is correct
36 Correct 23 ms 5452 KB Output is correct
37 Correct 23 ms 5468 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 22 ms 5372 KB Output is correct
40 Correct 25 ms 5468 KB Output is correct
41 Correct 22 ms 5716 KB Output is correct
42 Correct 22 ms 6152 KB Output is correct