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Submission #930722

# Submission time Handle Problem Language Result Execution time Memory
930722 2024-02-20T10:20:42 Z LucaIlie Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 64 ms 5836 KB 
#include <bits/stdc++.h>

#define int long long

using namespace std;

const int MAX_N = 1e5;
const int MOD = 1e9 + 7;
int h[MAX_N], w[MAX_N], p[MAX_N];
vector <int> s;

int lgPut( int x, int n ) {
    if ( n == 0 )
        return 1;

    int p = lgPut( x, n / 2 );
    p = (long long)p * p % MOD;
    if ( n % 2 == 1 )
        p = (long long)p * x % MOD;

    return p;
}

const int inv2 = (MOD + 1) / 2;
int nchoose2( int n ) {
    return (long long)n * (n + 1) % MOD * inv2 % MOD;
}

signed main() {
    int n;

    cin >> n;
    for ( int i = 0; i < n; i++ )
        cin >> h[i];
    for ( int i = 0; i < n; i++ )
        cin >> w[i];


    int ans = 0, sum = 0;
    for ( int i = 0; i < n; i++ ) {
        while ( !s.empty() && h[i] <= h[s.back()] ) {
            sum = (sum - (long long)nchoose2( h[s.back()] ) * p[s.back()] % MOD + MOD) % MOD;
            p[i] = (p[i] + p[s.back()]) % MOD;
            s.pop_back();
        }
        s.push_back( i );

        sum = (sum + (long long)nchoose2( h[i] ) * p[i]) % MOD;
        ans = (ans + (long long)nchoose2( h[i] ) * nchoose2( w[i] )) % MOD;
        ans = (ans + (long long)sum * w[i]) % MOD;
        sum = (sum + (long long)nchoose2( h[i] ) * w[i]) % MOD;

        p[i] += w[i];
    }

    cout << ans << "\n";

    return 0;
}

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 2496 KB Output is correct

Subtask #2
12.0 / 12.0

# 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 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 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 20 ms 2652 KB Output is correct
4 Correct 40 ms 2608 KB Output is correct
5 Correct 49 ms 2592 KB Output is correct
6 Correct 45 ms 2640 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 6 ms 2484 KB Output is correct
3 Correct 29 ms 2480 KB Output is correct
4 Correct 56 ms 2580 KB Output is correct
5 Correct 58 ms 2584 KB Output is correct
6 Correct 1 ms 2392 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 6 ms 2396 KB Output is correct
4 Correct 28 ms 2644 KB Output is correct
5 Correct 56 ms 2640 KB Output is correct
6 Correct 64 ms 2580 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2652 KB Output is correct
9 Correct 29 ms 2980 KB Output is correct
10 Correct 54 ms 3740 KB Output is correct
11 Correct 55 ms 3788 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 1 ms 2396 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
6 Correct 1 ms 2396 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 2396 KB Output is correct
10 Correct 1 ms 2512 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 2 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 1 ms 2392 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 2496 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
6 Correct 1 ms 2396 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 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 20 ms 3164 KB Output is correct
12 Correct 40 ms 3864 KB Output is correct
13 Correct 40 ms 3924 KB Output is correct
14 Correct 41 ms 3924 KB Output is correct
15 Correct 2 ms 2396 KB Output is correct
16 Correct 6 ms 2652 KB Output is correct
17 Correct 29 ms 3412 KB Output is correct
18 Correct 56 ms 4516 KB Output is correct
19 Correct 58 ms 4752 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 6 ms 2940 KB Output is correct
22 Correct 35 ms 3996 KB Output is correct
23 Correct 54 ms 5580 KB Output is correct
24 Correct 55 ms 5836 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2392 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 6 ms 2652 KB Output is correct
31 Correct 6 ms 2648 KB Output is correct
32 Correct 27 ms 3420 KB Output is correct
33 Correct 29 ms 3412 KB Output is correct
34 Correct 53 ms 4436 KB Output is correct
35 Correct 53 ms 4504 KB Output is correct
36 Correct 57 ms 4484 KB Output is correct
37 Correct 63 ms 4720 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 60 ms 4612 KB Output is correct
40 Correct 56 ms 4692 KB Output is correct
41 Correct 56 ms 4688 KB Output is correct
42 Correct 56 ms 5324 KB Output is correct