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Submission #801596

# Submission time Handle Problem Language Result Execution time Memory
801596 2023-08-02T06:50:18 Z gun_gan Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 27 ms 7876 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int MX = 1e5 + 5, mod = 1e9 + 7, inv = 500000004;

int N;
ll h[MX], w[MX];
ll L[MX], R[MX], sum[MX];

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0);
	
	cin >> N;
	
	for(int i = 1; i <= N; i++) cin >> h[i];
	for(int i = 1; i <= N; i++) cin >> w[i];
	
	vector<pair<ll,ll>> v;
	
	for(int i = 1; i <= N; i++) {
		while(!v.empty() && v.back() > make_pair(h[i], (ll)i)) v.pop_back();
		if(!v.empty()) L[i] = v.back().second;
		v.push_back({h[i], i});
	}
	
	v.clear();
	
	for(int i = N; i >= 1; i--) {
		while(!v.empty() && v.back() > make_pair(h[i], (ll)i)) v.pop_back();
		if(!v.empty()) R[i] = v.back().second;
		else R[i] = N + 1;
		v.push_back({h[i], i});
	}
	
	v.clear();
	
	for(int i = 1; i <= N; i++) sum[i] = sum[i - 1] + w[i];
	
	// for(int i = 1; i <= N; i++) {
	// 	cout << L[i] << " " << R[i] << '\n';
	// }
	
	ll ans = 0;
	for(int i = 1; i <= N; i++) {
		ll x = sum[i - 1] - sum[L[i]];
		ll y = sum[R[i] - 1] - sum[i];
		x %= mod, y %= mod;
		
		ans += 1ll * h[i] * (h[i] - 1) % mod * x % mod * y % mod * inv % mod;
		ans += 1ll * h[i] * x % mod * y % mod;
		ans %= mod;
	
		x = sum[i - 1] - sum[L[i]];
		y = sum[R[i] - 1] - sum[i];
		x %= mod, y %= mod;
		
		ans += 1ll * h[i] * (h[i] - 1) % mod * x % mod * w[i] % mod * inv % mod;
		ans += 1ll * h[i] * x % mod * w[i] % mod;
		ans += 1ll * h[i] * (h[i] - 1) % mod * y % mod * w[i] % mod * inv % mod;
		ans += 1ll * h[i] * y % mod * w[i] % mod;
		ans %= mod;
		
		ans += 1ll * w[i] * (w[i] - 1) % mod * inv % mod * h[i] % mod * (h[i] - 1) % mod * inv % mod;
		ans += 1ll * w[i] * h[i] % mod * (h[i] - 1) % mod * inv % mod;
		ans += 1ll * h[i] * w[i] % mod * (w[i] - 1) % mod * inv % mod;
		ans += 1ll * w[i] * h[i] % mod;
		ans %= mod;
		
		// cout << ans << '\n';
	}
	
	cout << ans << '\n';
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 280 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 10 ms 3300 KB Output is correct
4 Correct 21 ms 6744 KB Output is correct
5 Correct 21 ms 6092 KB Output is correct
6 Correct 25 ms 5648 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 984 KB Output is correct
3 Correct 12 ms 3152 KB Output is correct
4 Correct 24 ms 5888 KB Output is correct
5 Correct 23 ms 5836 KB Output is correct
6 Correct 0 ms 212 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 3 ms 984 KB Output is correct
4 Correct 12 ms 3152 KB Output is correct
5 Correct 25 ms 5832 KB Output is correct
6 Correct 27 ms 5896 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 984 KB Output is correct
9 Correct 12 ms 3184 KB Output is correct
10 Correct 24 ms 5916 KB Output is correct
11 Correct 24 ms 5856 KB Output is correct
12 Correct 0 ms 340 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 284 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 11 ms 3280 KB Output is correct
12 Correct 20 ms 6724 KB Output is correct
13 Correct 20 ms 6116 KB Output is correct
14 Correct 19 ms 5680 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 4 ms 1240 KB Output is correct
17 Correct 12 ms 4112 KB Output is correct
18 Correct 24 ms 7820 KB Output is correct
19 Correct 24 ms 7876 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 3 ms 1244 KB Output is correct
22 Correct 12 ms 4176 KB Output is correct
23 Correct 23 ms 7756 KB Output is correct
24 Correct 23 ms 7748 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 3 ms 852 KB Output is correct
32 Correct 11 ms 3216 KB Output is correct
33 Correct 12 ms 3156 KB Output is correct
34 Correct 23 ms 5912 KB Output is correct
35 Correct 23 ms 5956 KB Output is correct
36 Correct 24 ms 6092 KB Output is correct
37 Correct 23 ms 6076 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 22 ms 6096 KB Output is correct
40 Correct 22 ms 6136 KB Output is correct
41 Correct 23 ms 6360 KB Output is correct
42 Correct 24 ms 6620 KB Output is correct