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Submission #466359

# Submission time Handle Problem Language Result Execution time Memory
466359 2021-08-19T00:11:19 Z training4usaco Fancy Fence (CEOI20_fancyfence) C++11
100 / 100
 44 ms 6248 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define sp << ' ' <<
#define nl << '\n'
 
const int LIM = 1e5+1, MOD = 1e9+7;
 
int n, h[LIM], w[LIM], e[LIM], dp[LIM];
 
int nC2(int x){ return ((x * (x-1)) / 2) % MOD; }
 
int cnt(int x, int y){
	return (nC2(x+1) * nC2(y+1)) % MOD;
}
 
int find(int u){
	return e[u] < 0 ? u : e[u] = find(e[u]);
}
 
void unite(int u, int v, int currH){
	u = find(u), v = find(v);
	if(u != v){
		if(e[u] > e[v]) swap(u, v);
		dp[u] += cnt(w[u], h[u]) - cnt(w[u], currH);
		dp[v] += cnt(w[v], h[v]) - cnt(w[v], currH);
 
		e[u] += e[v], e[v] = u;
		(w[u] += w[v]) %= MOD;
		(dp[u] += dp[v]) %= MOD;
		h[u] = currH;
	}
}
 
signed main(){
	cin.tie(0)->sync_with_stdio(0);
	cin >> n;
	for(int i=1; i<=n; ++i) cin >> h[i];
	for(int i=1; i<=n; ++i) cin >> w[i];
 
	int a[n]; iota(a, a+n, 1);
	sort(a, a+n, [&](int &x, int &y){
		return h[x] > h[y];
	});
	fill(e, e+LIM, -1);
 
	for(int &i : a){
		if(i != 1 && h[find(i-1)] >= h[i]) unite(i, i-1, h[i]);
		if(i != n && h[find(i+1)] >= h[i]) unite(i, i+1, h[i]);
	}
 
	int r = find(1);
	dp[r] += cnt(w[r], h[r]);
	dp[r] %= MOD;
 
	cout << (dp[r] + MOD) % MOD;
 
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 1 ms 1100 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 15 ms 3148 KB Output is correct
4 Correct 28 ms 5344 KB Output is correct
5 Correct 29 ms 5316 KB Output is correct
6 Correct 28 ms 5364 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 4 ms 1612 KB Output is correct
3 Correct 16 ms 3532 KB Output is correct
4 Correct 37 ms 6044 KB Output is correct
5 Correct 36 ms 6140 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 4 ms 1588 KB Output is correct
4 Correct 17 ms 3616 KB Output is correct
5 Correct 32 ms 6208 KB Output is correct
6 Correct 35 ms 6248 KB Output is correct
7 Correct 1 ms 1100 KB Output is correct
8 Correct 5 ms 1612 KB Output is correct
9 Correct 18 ms 3572 KB Output is correct
10 Correct 31 ms 6108 KB Output is correct
11 Correct 31 ms 6096 KB Output is correct
12 Correct 1 ms 1100 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 1 ms 1100 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 1100 KB Output is correct
8 Correct 1 ms 1100 KB Output is correct
9 Correct 1 ms 1064 KB Output is correct
10 Correct 1 ms 1104 KB Output is correct
11 Correct 1 ms 1100 KB Output is correct
12 Correct 1 ms 1100 KB Output is correct
13 Correct 1 ms 1100 KB Output is correct
14 Correct 1 ms 1100 KB Output is correct
15 Correct 1 ms 1100 KB Output is correct
16 Correct 1 ms 1100 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 1 ms 1100 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 1100 KB Output is correct
8 Correct 1 ms 1100 KB Output is correct
9 Correct 1 ms 1100 KB Output is correct
10 Correct 1 ms 1100 KB Output is correct
11 Correct 15 ms 3148 KB Output is correct
12 Correct 28 ms 5296 KB Output is correct
13 Correct 30 ms 5344 KB Output is correct
14 Correct 32 ms 5264 KB Output is correct
15 Correct 1 ms 1100 KB Output is correct
16 Correct 6 ms 1592 KB Output is correct
17 Correct 18 ms 3536 KB Output is correct
18 Correct 32 ms 6040 KB Output is correct
19 Correct 44 ms 6144 KB Output is correct
20 Correct 1 ms 1100 KB Output is correct
21 Correct 5 ms 1612 KB Output is correct
22 Correct 18 ms 3620 KB Output is correct
23 Correct 30 ms 5992 KB Output is correct
24 Correct 31 ms 6112 KB Output is correct
25 Correct 1 ms 1100 KB Output is correct
26 Correct 1 ms 1100 KB Output is correct
27 Correct 1 ms 1100 KB Output is correct
28 Correct 1 ms 1180 KB Output is correct
29 Correct 2 ms 1100 KB Output is correct
30 Correct 5 ms 1504 KB Output is correct
31 Correct 5 ms 1612 KB Output is correct
32 Correct 18 ms 3532 KB Output is correct
33 Correct 22 ms 3520 KB Output is correct
34 Correct 42 ms 5836 KB Output is correct
35 Correct 37 ms 5940 KB Output is correct
36 Correct 42 ms 6056 KB Output is correct
37 Correct 43 ms 6144 KB Output is correct
38 Correct 1 ms 1100 KB Output is correct
39 Correct 42 ms 6216 KB Output is correct
40 Correct 38 ms 6088 KB Output is correct
41 Correct 36 ms 6084 KB Output is correct
42 Correct 37 ms 6040 KB Output is correct