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Submission #944862

# Submission time Handle Problem Language Result Execution time Memory
944862 2024-03-13T06:51:09 Z dsyz Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 50 ms 13916 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (1000005)
ll ans = 0, cursum = 0, mod = 1e9 + 7;
ll parent[MAXN], SIZE[MAXN];
ll tri(ll h){
	return ((h + 1) * h) / 2ll; //the triangle sum formula is N*(N + 1) / 2 (basically the sum of 1,2,...,N)
}
ll find_set(ll x){
	if(parent[x] == x) return x;
	parent[x] = find_set(parent[x]);
	return parent[x];
}
bool same_set(ll x,ll y){
	return find_set(x) == find_set(y);
}
void merge_set(ll x,ll y){
	if(same_set(x,y)) return;
	ll Xsize = SIZE[find_set(x)], Ysize = SIZE[find_set(y)];
	cursum += (Xsize * Ysize);
	cursum %= mod;
	ll totalsize = Xsize + Ysize;
	totalsize %= mod;
	parent[find_set(x)] = find_set(y);
	SIZE[find_set(x)] = totalsize;
}
int main() {
	ios_base::sync_with_stdio(false);cin.tie(0);
	ll N;
	cin>>N;
	pair<pair<ll,ll>,ll> arr[N];
	for(ll i = 0;i < N;i++){
		cin>>arr[i].first.first; //H[i]
	}
	for(ll i = 0;i < N;i++){
		cin>>arr[i].first.second; //W[i]
	}
	for(ll i = 0;i < N;i++){
		arr[i].second = i;
		parent[i] = i;
		SIZE[i] = arr[i].first.second;
	}
	set<ll,greater<ll> > heights;
	for(ll i = 0;i < N;i++){
		heights.insert(arr[i].first.first);
	}
	sort(arr,arr + N,greater<pair<pair<ll,ll>,ll> >());
	bool can[N];
	memset(can,0,sizeof(can));
	ll ptr = -1;
	for(auto h : heights){
		cursum = 0;
		while(ptr + 1 < N && arr[ptr + 1].first.first == h){
			ptr++;
			ll ind = arr[ptr].second;
			can[ind] = 1;
			cursum += ((((arr[ptr].first.second + 1) * arr[ptr].first.second) / 2) % mod);
			cursum %= mod;
			if(ind >= 1 && can[ind - 1]){
				merge_set(ind - 1,ind);
			}
			cursum %= mod;
			if(ind < N - 1 && can[ind + 1]){
				merge_set(ind,ind + 1);
			}
			cursum %= mod;
		}
		ans += (((cursum % mod) * (tri(h) % mod)) % mod);
		ans %= mod;
	}
	cout<<ans % mod<<'\n';
}

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 1 ms 2512 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 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 13 ms 5720 KB Output is correct
4 Correct 25 ms 9052 KB Output is correct
5 Correct 25 ms 9208 KB Output is correct
6 Correct 24 ms 9460 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 4 ms 2740 KB Output is correct
3 Correct 15 ms 5720 KB Output is correct
4 Correct 28 ms 9052 KB Output is correct
5 Correct 29 ms 9200 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 3 ms 2652 KB Output is correct
4 Correct 16 ms 5728 KB Output is correct
5 Correct 27 ms 9052 KB Output is correct
6 Correct 30 ms 9048 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 4 ms 3160 KB Output is correct
9 Correct 18 ms 6748 KB Output is correct
10 Correct 36 ms 13652 KB Output is correct
11 Correct 37 ms 13904 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 2596 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 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 2392 KB Output is correct
7 Correct 1 ms 2648 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 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 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 0 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 13 ms 5724 KB Output is correct
12 Correct 25 ms 9052 KB Output is correct
13 Correct 26 ms 9048 KB Output is correct
14 Correct 25 ms 9048 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 3 ms 2652 KB Output is correct
17 Correct 15 ms 5728 KB Output is correct
18 Correct 27 ms 9052 KB Output is correct
19 Correct 28 ms 9048 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 4 ms 3164 KB Output is correct
22 Correct 18 ms 6748 KB Output is correct
23 Correct 37 ms 13916 KB Output is correct
24 Correct 37 ms 13904 KB Output is correct
25 Correct 1 ms 2396 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 4 ms 3160 KB Output is correct
31 Correct 5 ms 3164 KB Output is correct
32 Correct 16 ms 5908 KB Output is correct
33 Correct 24 ms 8304 KB Output is correct
34 Correct 50 ms 13520 KB Output is correct
35 Correct 31 ms 9128 KB Output is correct
36 Correct 50 ms 13904 KB Output is correct
37 Correct 44 ms 11864 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 42 ms 11316 KB Output is correct
40 Correct 44 ms 13648 KB Output is correct
41 Correct 39 ms 13904 KB Output is correct
42 Correct 41 ms 13904 KB Output is correct