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Submission #975289

# Submission time Handle Problem Language Result Execution time Memory
975289 2024-05-04T17:05:30 Z efedmrlr Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 26 ms 7584 KB 
#include <bits/stdc++.h>

#define int long long int
#define ld long double
#define pb push_back
#define MP make_pair
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define REP(i, n) for(int i = 0; (i) < (n); (i)++)

using namespace std;

void fastio() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
}

const int N = 1e5 + 5;
const int INF = 1e9 + 500;
const int MOD = 1e9 + 7;

int add(int x, int y) {
    if(x + y >= MOD) return x + y - MOD;
    return x + y;
}
int mult(int x, int y) {
    return (int)((1ll * x * y) % MOD);
}
int c2(int x) {
    return (int)((1ll * x * (x - 1) / 2) % MOD);
}
int subt(int x, int y) {
    if(x - y < 0) return x - y + MOD;
    return x - y;
}
void solve() {
    int n;
    cin >> n;
    vector<int> h(n + 1, 0), w(n + 1, 0), dp(n + 1, 0), p(n + 1, 0);
    vector<int> last(n + 1, 0);
    int ans = 0;
    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++) {
        p[i] = add(p[i - 1] , w[i]);
    }
    vector<int> stck;
    stck.pb(0);
    for(int i = 1; i <= n; i++) {
        while(stck.size() && h[i] < h[stck.back()]) {
            stck.pop_back();
        }
        assert(stck.size());
        last[i] = stck.back();
        stck.pb(i);
    }
    // for(int i = 1; i <= n; i++) {
    //     cout << last[i] << " ";
    // }
    // cout << "\n";
    for(int i = 1; i <= n; i++) {
        dp[i] = add(dp[last[i]], mult(subt(p[i] , p[last[i]]), c2(h[i] + 1) ));
        int cont = mult(dp[last[i]], w[i]);
        cont = add(cont, mult( subt(p[i - 1], p[last[i]]), mult(w[i], c2(h[i] + 1) ) ) );
        cont = add(cont, mult(c2(w[i] + 1), c2(h[i] + 1)));
        ans = add(ans, cont);  
        // cout << "i:" << i << " dp:" << dp[i] << "\n"; 
        // cout << "cont:" << cont << "\n";
    }
    cout << ans << "\n";
    
}

signed main() {
    fastio();
    solve();
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 520 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 8 ms 3296 KB Output is correct
4 Correct 16 ms 6560 KB Output is correct
5 Correct 17 ms 6200 KB Output is correct
6 Correct 15 ms 5724 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 3 ms 1116 KB Output is correct
3 Correct 10 ms 3808 KB Output is correct
4 Correct 22 ms 7380 KB Output is correct
5 Correct 21 ms 7388 KB Output is correct
6 Correct 0 ms 348 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 2 ms 1116 KB Output is correct
4 Correct 12 ms 3952 KB Output is correct
5 Correct 26 ms 7448 KB Output is correct
6 Correct 20 ms 7584 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 2 ms 1112 KB Output is correct
9 Correct 10 ms 3956 KB Output is correct
10 Correct 19 ms 7132 KB Output is correct
11 Correct 22 ms 7452 KB Output is correct
12 Correct 1 ms 348 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 520 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 0 ms 452 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 9 ms 3296 KB Output is correct
12 Correct 16 ms 6556 KB Output is correct
13 Correct 16 ms 6176 KB Output is correct
14 Correct 17 ms 5768 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 1116 KB Output is correct
17 Correct 11 ms 3956 KB Output is correct
18 Correct 20 ms 7380 KB Output is correct
19 Correct 20 ms 7568 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 1116 KB Output is correct
22 Correct 10 ms 4064 KB Output is correct
23 Correct 19 ms 7124 KB Output is correct
24 Correct 20 ms 7320 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 976 KB Output is correct
31 Correct 3 ms 860 KB Output is correct
32 Correct 10 ms 3308 KB Output is correct
33 Correct 10 ms 3164 KB Output is correct
34 Correct 22 ms 5976 KB Output is correct
35 Correct 18 ms 5908 KB Output is correct
36 Correct 20 ms 6328 KB Output is correct
37 Correct 19 ms 6232 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 19 ms 6236 KB Output is correct
40 Correct 19 ms 6112 KB Output is correct
41 Correct 21 ms 6428 KB Output is correct
42 Correct 19 ms 6936 KB Output is correct