oj.uz

Submission #220068

# Submission time Handle Problem Language Result Execution time Memory
220068 2020-04-06T22:02:44 Z AQT Construction of Highway (JOI18_construction) C++14
100 / 100
 663 ms 20316 KB 
#include <bits/stdc++.h>

using namespace std;

int N, M;
int arr[100005];
int a[100005], b[100005];
vector<int> graph[100005];
int par[100005], top[100005], sz[100005], dep[100005], id[100005], hvy[100005], rng[100005], tim;
int bit[100005];
vector<int> cmp;
set<pair<int, int>> st;

void dfs(int n){
	sz[n] = 1;
	for(int e : graph[n]){
		par[e] = n;
		dep[e] = dep[n] + 1;
		dfs(e);
		sz[n] = sz[e] + 1;
		hvy[n] = sz[hvy[n]] < sz[e] ? e : hvy[n];
	}
}

void hld(int n, int t){
	top[n] = t;
	id[n] = ++tim;
	rng[id[t]] = tim;
	if(hvy[n]){
		hld(hvy[n], t);
	}
	for(int e : graph[n]){
		if(hvy[n] != e){
			hld(e, e);
		}
	}
}

void upd(int n, int v){
	while(n <= M){
		bit[n] = (v ? bit[n] + v : 0);
		n += n&-n;
	}
}

int sum(int n){
	int ret = 0;
	while(n){
		ret += bit[n];
		n -= n&-n;
	}
	return ret;
}

long long query(int n){
	vector<int> clr;
	int value = arr[n];
	long long ret = 0;
	bool fst = 1;
	while(n){
		//cout << n << " " << par[top[n]] << endl;
		vector<pair<int, int>> v;
		vector<pair<int, int>> rem;
		int lft = id[top[n]], rht = id[n];
		if(fst){
			rht = id[par[n]];
		}
		int lst = lft-1;
		for(auto it = st.lower_bound({lft, 0}); it != st.end() && lft <= rht; it++){
			//cout << st.size() << endl;
			auto p = *it;
			if(p.first <= rht){
				rem.push_back(p);
			}
			int amt = min(p.first, rht) - lst;
			v.push_back({p.second, amt});
			clr.push_back(p.second);
			if(p.first >= rht){
				break;
			}
			lst = min(p.first, rht);
		}
		reverse(v.begin(), v.end());
		for(auto p : v){
			ret += sum(p.first-1)*p.second;
			upd(p.first, p.second);
		}
		for(auto p : rem){
			st.erase(p);
		}
		if(fst){
			/*
			if(top[n] == n){
				st.insert({id[par[n]], value});
			}
			*/
			st.insert({id[n], value});
		}
		else{
			st.insert({rht, value});
		}
		n = par[top[n]];
		fst = 0;
	}
	for(int n : clr){
		upd(n, 0);
	}
	return ret;
}

int main(){
	cin.sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> N;
	for(int i = 1; i<=N; i++){
		cin >> arr[i];
		cmp.push_back(arr[i]);
	}
	sort(cmp.begin(), cmp.end());
	cmp.erase(unique(cmp.begin(), cmp.end()), cmp.end());
	for(int i = 1; i<=N; i++){
		arr[i] = lower_bound(cmp.begin(), cmp.end(), arr[i]) - cmp.begin() + 1;
	}
	M = cmp.size();
	for(int i = 1; i<N; i++){
		cin >> a[i] >> b[i];
		graph[a[i]].push_back(b[i]);
	}
	dfs(1);
	hld(1, 1);
	st.insert({1, arr[1]});
	for(int i = 1; i<N; i++){
		cout << query(b[i]) << "\n";
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2816 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2816 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 7 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 6 ms 2816 KB Output is correct
10 Correct 6 ms 2816 KB Output is correct
11 Correct 7 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 6 ms 2816 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 6 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 6 ms 2816 KB Output is correct
27 Correct 6 ms 2816 KB Output is correct
28 Correct 6 ms 2816 KB Output is correct
29 Correct 6 ms 2816 KB Output is correct
30 Correct 7 ms 2816 KB Output is correct
31 Correct 7 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 6 ms 2816 KB Output is correct
35 Correct 6 ms 2816 KB Output is correct
36 Correct 6 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 6 ms 2816 KB Output is correct
40 Correct 6 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 6 ms 2816 KB Output is correct
43 Correct 6 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2816 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2816 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 7 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 6 ms 2816 KB Output is correct
10 Correct 6 ms 2816 KB Output is correct
11 Correct 7 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 6 ms 2816 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 6 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 6 ms 2816 KB Output is correct
27 Correct 6 ms 2816 KB Output is correct
28 Correct 6 ms 2816 KB Output is correct
29 Correct 6 ms 2816 KB Output is correct
30 Correct 7 ms 2816 KB Output is correct
31 Correct 7 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 6 ms 2816 KB Output is correct
35 Correct 6 ms 2816 KB Output is correct
36 Correct 6 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 6 ms 2816 KB Output is correct
40 Correct 6 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 6 ms 2816 KB Output is correct
43 Correct 6 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct
45 Correct 9 ms 2944 KB Output is correct
46 Correct 18 ms 3200 KB Output is correct
47 Correct 19 ms 3200 KB Output is correct
48 Correct 18 ms 3200 KB Output is correct
49 Correct 9 ms 3328 KB Output is correct
50 Correct 9 ms 3328 KB Output is correct
51 Correct 9 ms 3328 KB Output is correct
52 Correct 12 ms 3456 KB Output is correct
53 Correct 10 ms 3456 KB Output is correct
54 Correct 10 ms 3456 KB Output is correct
55 Correct 13 ms 3456 KB Output is correct
56 Correct 10 ms 3328 KB Output is correct
57 Correct 20 ms 3196 KB Output is correct
58 Correct 21 ms 3200 KB Output is correct
59 Correct 21 ms 3328 KB Output is correct
60 Correct 21 ms 3328 KB Output is correct
61 Correct 11 ms 3328 KB Output is correct
62 Correct 11 ms 3328 KB Output is correct
63 Correct 11 ms 3328 KB Output is correct
64 Correct 18 ms 3200 KB Output is correct
65 Correct 18 ms 3200 KB Output is correct
66 Correct 20 ms 3148 KB Output is correct
67 Correct 18 ms 3200 KB Output is correct
68 Correct 9 ms 3328 KB Output is correct
69 Correct 10 ms 3456 KB Output is correct
70 Correct 10 ms 3456 KB Output is correct
71 Correct 10 ms 3200 KB Output is correct
72 Correct 20 ms 3200 KB Output is correct
73 Correct 20 ms 3200 KB Output is correct
74 Correct 10 ms 3328 KB Output is correct
75 Correct 11 ms 3200 KB Output is correct
76 Correct 11 ms 3200 KB Output is correct
77 Correct 11 ms 3200 KB Output is correct
78 Correct 10 ms 3200 KB Output is correct
79 Correct 10 ms 3200 KB Output is correct
80 Correct 11 ms 3200 KB Output is correct
81 Correct 11 ms 3200 KB Output is correct
82 Correct 12 ms 3200 KB Output is correct
83 Correct 12 ms 3200 KB Output is correct
84 Correct 11 ms 3200 KB Output is correct
85 Correct 11 ms 3200 KB Output is correct
86 Correct 11 ms 3200 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2816 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2816 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 7 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 6 ms 2816 KB Output is correct
10 Correct 6 ms 2816 KB Output is correct
11 Correct 7 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 6 ms 2816 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 6 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 6 ms 2816 KB Output is correct
27 Correct 6 ms 2816 KB Output is correct
28 Correct 6 ms 2816 KB Output is correct
29 Correct 6 ms 2816 KB Output is correct
30 Correct 7 ms 2816 KB Output is correct
31 Correct 7 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 6 ms 2816 KB Output is correct
35 Correct 6 ms 2816 KB Output is correct
36 Correct 6 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 6 ms 2816 KB Output is correct
40 Correct 6 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 6 ms 2816 KB Output is correct
43 Correct 6 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct
45 Correct 9 ms 2944 KB Output is correct
46 Correct 18 ms 3200 KB Output is correct
47 Correct 19 ms 3200 KB Output is correct
48 Correct 18 ms 3200 KB Output is correct
49 Correct 9 ms 3328 KB Output is correct
50 Correct 9 ms 3328 KB Output is correct
51 Correct 9 ms 3328 KB Output is correct
52 Correct 12 ms 3456 KB Output is correct
53 Correct 10 ms 3456 KB Output is correct
54 Correct 10 ms 3456 KB Output is correct
55 Correct 13 ms 3456 KB Output is correct
56 Correct 10 ms 3328 KB Output is correct
57 Correct 20 ms 3196 KB Output is correct
58 Correct 21 ms 3200 KB Output is correct
59 Correct 21 ms 3328 KB Output is correct
60 Correct 21 ms 3328 KB Output is correct
61 Correct 11 ms 3328 KB Output is correct
62 Correct 11 ms 3328 KB Output is correct
63 Correct 11 ms 3328 KB Output is correct
64 Correct 18 ms 3200 KB Output is correct
65 Correct 18 ms 3200 KB Output is correct
66 Correct 20 ms 3148 KB Output is correct
67 Correct 18 ms 3200 KB Output is correct
68 Correct 9 ms 3328 KB Output is correct
69 Correct 10 ms 3456 KB Output is correct
70 Correct 10 ms 3456 KB Output is correct
71 Correct 10 ms 3200 KB Output is correct
72 Correct 20 ms 3200 KB Output is correct
73 Correct 20 ms 3200 KB Output is correct
74 Correct 10 ms 3328 KB Output is correct
75 Correct 11 ms 3200 KB Output is correct
76 Correct 11 ms 3200 KB Output is correct
77 Correct 11 ms 3200 KB Output is correct
78 Correct 10 ms 3200 KB Output is correct
79 Correct 10 ms 3200 KB Output is correct
80 Correct 11 ms 3200 KB Output is correct
81 Correct 11 ms 3200 KB Output is correct
82 Correct 12 ms 3200 KB Output is correct
83 Correct 12 ms 3200 KB Output is correct
84 Correct 11 ms 3200 KB Output is correct
85 Correct 11 ms 3200 KB Output is correct
86 Correct 11 ms 3200 KB Output is correct
87 Correct 44 ms 3840 KB Output is correct
88 Correct 135 ms 6264 KB Output is correct
89 Correct 618 ms 14528 KB Output is correct
90 Correct 578 ms 14580 KB Output is correct
91 Correct 604 ms 14452 KB Output is correct
92 Correct 124 ms 18736 KB Output is correct
93 Correct 122 ms 18676 KB Output is correct
94 Correct 124 ms 18660 KB Output is correct
95 Correct 148 ms 19828 KB Output is correct
96 Correct 160 ms 20212 KB Output is correct
97 Correct 157 ms 20316 KB Output is correct
98 Correct 153 ms 20212 KB Output is correct
99 Correct 166 ms 16968 KB Output is correct
100 Correct 596 ms 14576 KB Output is correct
101 Correct 644 ms 14916 KB Output is correct
102 Correct 657 ms 15024 KB Output is correct
103 Correct 642 ms 14964 KB Output is correct
104 Correct 163 ms 16756 KB Output is correct
105 Correct 163 ms 16756 KB Output is correct
106 Correct 182 ms 16752 KB Output is correct
107 Correct 487 ms 13300 KB Output is correct
108 Correct 535 ms 13556 KB Output is correct
109 Correct 663 ms 13940 KB Output is correct
110 Correct 103 ms 17784 KB Output is correct
111 Correct 149 ms 19828 KB Output is correct
112 Correct 134 ms 19316 KB Output is correct
113 Correct 137 ms 15732 KB Output is correct
114 Correct 613 ms 14708 KB Output is correct
115 Correct 578 ms 14044 KB Output is correct
116 Correct 151 ms 15708 KB Output is correct
117 Correct 173 ms 14836 KB Output is correct
118 Correct 181 ms 14320 KB Output is correct
119 Correct 182 ms 13940 KB Output is correct
120 Correct 155 ms 14068 KB Output is correct
121 Correct 153 ms 13552 KB Output is correct
122 Correct 159 ms 13300 KB Output is correct
123 Correct 205 ms 14960 KB Output is correct
124 Correct 189 ms 14328 KB Output is correct
125 Correct 190 ms 14068 KB Output is correct
126 Correct 176 ms 14324 KB Output is correct
127 Correct 166 ms 13684 KB Output is correct
128 Correct 169 ms 13428 KB Output is correct