Submission #49226

# Submission time Handle Problem Language Result Execution time Memory
49226 2018-05-24T00:23:23 Z spencercompton Construction of Highway (JOI18_construction) C++14
16 / 100
754 ms 3832 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int l[100000];
int r[100000];
int p[100000];
int sub[100000];
int pri[100000];
int val[100000];
int par[100000];
void pull(int t){
	sub[t] = 1;
	if(l[t]!=-1){
		sub[t] += sub[l[t]];
		p[l[t]] = t;
	}
	if(r[t]!=-1){
		sub[t] += sub[r[t]];
		p[r[t]] = t;
	}
}
void push(int t){
	if(l[t]!=-1){
		val[l[t]] = val[t];
	}
	if(r[t]!=-1){
		val[r[t]] = val[t];
	}
}
int merge(int le, int ri){
	if(le==-1 && ri==-1){
		return -1;
	}
	if(le==-1){
		return ri;
	}
	if(ri==-1){
		return le;
	}
	push(le);
	push(ri);
	if(pri[le]>pri[ri]){
		r[le] = merge(r[le],ri);
		pull(le);
		return le;
	}
	else{
		l[ri] = merge(le,l[ri]);
		pull(ri);
		return ri;
	}
}
pair<int, int> split(int t, int k){
	if(t==-1){
		return make_pair(-1,-1);
	}
	push(t);
	int lsum = 0;
	if(l[t]!=-1){
		lsum = sub[l[t]];
	}
	if(lsum>=k){
		pair<int, int> ret = split(l[t],k);
		l[t] = ret.second;
		ret.second = t;
		pull(t);
		return ret;
	}
	else{
		pair<int, int> ret = split(r[t],k-lsum-1);
		r[t] = ret.first;
		ret.first = t;
		pull(t);
		return ret;
	}
}
pair<int, int> dfs(int now, int from){
	int ret = 0;
	if(from==-1 && l[now]!=-1){
		ret += sub[l[now]];
	}
	if(from!=-1 && r[now]==from){
		ret++;
		if(l[now]!=-1){
			ret += sub[l[now]];
		}
	}
	if(p[now]==-1){
		return make_pair(now,ret);
	}
	pair<int, int> get = dfs(p[now],now);
	get.second += ret;
	return get;
}
int first(int now){
	if(l[now]==-1){
		return now;
	}
	return first(l[now]);
}
void dfs2(int now){
	cout << "NOW " << now << endl;
	if(l[now]!=-1){
		cout << "LEFT " << now << " -> " << l[now] << endl;
		dfs2(l[now]);
	}
	if(r[now]!=-1){
		cout << "RIGHT " << now << " -> " << r[now] << endl;
		dfs2(r[now]);
	}
}
vector<pair<int, int> > compress(vector<pair<int, int> > a){
	vector<int> all;
	for(int i = 0; i<a.size(); i++){
		all.push_back(a[i].first);
	}
	sort(all.begin(),all.end());
	int p =1;
	map<int, int> m;
	for(int i = 0; i<a.size(); i++){
		if(i==0 || all[i]!=all[i-1]){
			m[all[i]] = p++;
		}
	}
	for(int i = 0; i<a.size(); i++){
		a[i].first = m[a[i].first];
	}
	return a;
}
class Fenwick{
	public:
		vector<ll> li;
		int n;
		Fenwick(int a){
			n = a;
			li.resize(n+4);
		}
		void add(int ind, ll val){
			for(;ind<n; ind+=(ind&(-ind))){
				li[ind] += val;
			}
		}
		ll get(int ind){
			ll ret = 0LL;
			for(;ind>0; ind-=(ind&(-ind))){
				ret += li[ind];
			}
			return ret;
		}

};
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	srand(11);
	int n;
	cin >> n;
	for(int i = 0; i<n; i++){
		l[i] = -1;
		r[i] = -1;
		p[i] = -1;
		sub[i] = 1;
		pri[i] = rand();
		cin >> val[i];
		par[i] = -1;
	}
	for(int i = 0; i+1<n; i++){
		int a, b;
		cin >> a >> b;
		a--;
		b--;
		vector<pair<int, int> > li;
		//not including now
		int now = a;
		int set = val[b];
		pair<int, int> got = dfs(now,-1);
		int ind = got.second;
		int root = got.first;
		pair<int, int> both = split(root,ind+1);
		p[both.first] = -1;
		p[both.second] = -1;
		got = dfs(now,-1);
		ind = got.second;
		root = got.first;
		li.push_back(make_pair(val[got.first],1));
		while(true){
			got = dfs(now,-1);
			ind = got.second;
			root = got.first;
			int f = first(root);
			int all = val[root];
			if(par[f]==-1){
				//started from the bottom, now we here
				li.push_back(make_pair(all,ind));
				val[root] = set;
				now = f;
				break;
			}
			else{
				li.push_back(make_pair(all,ind));
				int nex = par[f];
				pair<int, int> got2 = dfs(nex,-1);
				int ind2 = got2.second;
				int root2 = got2.first;
				pair<int, int> both2 = split(root2,ind2+1);
				p[both2.first] = -1;
				p[both2.second] = -1;
				now = f;
				int nval = val[both2.first];
				val[merge(both2.first,root)] = nval;
			}
		}
		got = dfs(now,-1);
		root = got.first;
		par[b] = a;
		val[merge(root,b)] = set;
		li =compress(li);
		Fenwick fen = Fenwick(li.size());
		ll all = 0LL;
		ll ans = 0LL;
		for(int i = li.size()-1; i>=0; i--){
			ans += (all-fen.get(li[i].first))*(ll)li[i].second;
			fen.add(li[i].first,li[i].second);
			all += li[i].second;
		}
		assert(ans>=0LL);
		cout << ans << endl;
		// out << ans << endl;
	}
}

Compilation message

construction.cpp: In function 'std::vector<std::pair<int, int> > compress(std::vector<std::pair<int, int> >)':
construction.cpp:114:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i<a.size(); i++){
                 ~^~~~~~~~~
construction.cpp:120:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i<a.size(); i++){
                 ~^~~~~~~~~
construction.cpp:125:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i<a.size(); i++){
                 ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 436 KB Output is correct
4 Correct 3 ms 584 KB Output is correct
5 Correct 4 ms 584 KB Output is correct
6 Correct 4 ms 584 KB Output is correct
7 Correct 4 ms 584 KB Output is correct
8 Correct 3 ms 584 KB Output is correct
9 Correct 3 ms 664 KB Output is correct
10 Correct 4 ms 752 KB Output is correct
11 Correct 4 ms 752 KB Output is correct
12 Correct 5 ms 752 KB Output is correct
13 Correct 4 ms 752 KB Output is correct
14 Correct 3 ms 752 KB Output is correct
15 Correct 4 ms 752 KB Output is correct
16 Correct 5 ms 752 KB Output is correct
17 Correct 4 ms 752 KB Output is correct
18 Correct 5 ms 752 KB Output is correct
19 Correct 5 ms 752 KB Output is correct
20 Correct 4 ms 752 KB Output is correct
21 Correct 5 ms 752 KB Output is correct
22 Correct 6 ms 752 KB Output is correct
23 Correct 4 ms 752 KB Output is correct
24 Correct 4 ms 756 KB Output is correct
25 Correct 4 ms 756 KB Output is correct
26 Correct 4 ms 756 KB Output is correct
27 Correct 4 ms 756 KB Output is correct
28 Correct 3 ms 756 KB Output is correct
29 Correct 3 ms 756 KB Output is correct
30 Correct 6 ms 756 KB Output is correct
31 Correct 5 ms 756 KB Output is correct
32 Correct 5 ms 756 KB Output is correct
33 Correct 4 ms 756 KB Output is correct
34 Correct 5 ms 756 KB Output is correct
35 Correct 5 ms 756 KB Output is correct
36 Correct 5 ms 756 KB Output is correct
37 Correct 7 ms 756 KB Output is correct
38 Correct 4 ms 756 KB Output is correct
39 Correct 4 ms 756 KB Output is correct
40 Correct 4 ms 756 KB Output is correct
41 Correct 5 ms 756 KB Output is correct
42 Correct 3 ms 756 KB Output is correct
43 Correct 4 ms 756 KB Output is correct
44 Correct 4 ms 756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 436 KB Output is correct
4 Correct 3 ms 584 KB Output is correct
5 Correct 4 ms 584 KB Output is correct
6 Correct 4 ms 584 KB Output is correct
7 Correct 4 ms 584 KB Output is correct
8 Correct 3 ms 584 KB Output is correct
9 Correct 3 ms 664 KB Output is correct
10 Correct 4 ms 752 KB Output is correct
11 Correct 4 ms 752 KB Output is correct
12 Correct 5 ms 752 KB Output is correct
13 Correct 4 ms 752 KB Output is correct
14 Correct 3 ms 752 KB Output is correct
15 Correct 4 ms 752 KB Output is correct
16 Correct 5 ms 752 KB Output is correct
17 Correct 4 ms 752 KB Output is correct
18 Correct 5 ms 752 KB Output is correct
19 Correct 5 ms 752 KB Output is correct
20 Correct 4 ms 752 KB Output is correct
21 Correct 5 ms 752 KB Output is correct
22 Correct 6 ms 752 KB Output is correct
23 Correct 4 ms 752 KB Output is correct
24 Correct 4 ms 756 KB Output is correct
25 Correct 4 ms 756 KB Output is correct
26 Correct 4 ms 756 KB Output is correct
27 Correct 4 ms 756 KB Output is correct
28 Correct 3 ms 756 KB Output is correct
29 Correct 3 ms 756 KB Output is correct
30 Correct 6 ms 756 KB Output is correct
31 Correct 5 ms 756 KB Output is correct
32 Correct 5 ms 756 KB Output is correct
33 Correct 4 ms 756 KB Output is correct
34 Correct 5 ms 756 KB Output is correct
35 Correct 5 ms 756 KB Output is correct
36 Correct 5 ms 756 KB Output is correct
37 Correct 7 ms 756 KB Output is correct
38 Correct 4 ms 756 KB Output is correct
39 Correct 4 ms 756 KB Output is correct
40 Correct 4 ms 756 KB Output is correct
41 Correct 5 ms 756 KB Output is correct
42 Correct 3 ms 756 KB Output is correct
43 Correct 4 ms 756 KB Output is correct
44 Correct 4 ms 756 KB Output is correct
45 Correct 6 ms 756 KB Output is correct
46 Correct 17 ms 764 KB Output is correct
47 Correct 18 ms 764 KB Output is correct
48 Correct 17 ms 824 KB Output is correct
49 Correct 13 ms 824 KB Output is correct
50 Correct 13 ms 824 KB Output is correct
51 Correct 13 ms 824 KB Output is correct
52 Correct 13 ms 908 KB Output is correct
53 Correct 14 ms 908 KB Output is correct
54 Correct 13 ms 968 KB Output is correct
55 Correct 14 ms 968 KB Output is correct
56 Correct 15 ms 968 KB Output is correct
57 Correct 35 ms 968 KB Output is correct
58 Correct 42 ms 968 KB Output is correct
59 Correct 26 ms 968 KB Output is correct
60 Correct 25 ms 968 KB Output is correct
61 Correct 24 ms 968 KB Output is correct
62 Correct 21 ms 968 KB Output is correct
63 Correct 22 ms 968 KB Output is correct
64 Correct 17 ms 968 KB Output is correct
65 Correct 19 ms 968 KB Output is correct
66 Correct 29 ms 968 KB Output is correct
67 Correct 19 ms 968 KB Output is correct
68 Correct 14 ms 968 KB Output is correct
69 Correct 15 ms 968 KB Output is correct
70 Correct 13 ms 968 KB Output is correct
71 Correct 15 ms 968 KB Output is correct
72 Correct 24 ms 968 KB Output is correct
73 Correct 30 ms 968 KB Output is correct
74 Correct 19 ms 968 KB Output is correct
75 Correct 15 ms 968 KB Output is correct
76 Correct 13 ms 968 KB Output is correct
77 Correct 13 ms 968 KB Output is correct
78 Correct 15 ms 968 KB Output is correct
79 Correct 41 ms 968 KB Output is correct
80 Correct 15 ms 968 KB Output is correct
81 Correct 21 ms 968 KB Output is correct
82 Correct 37 ms 968 KB Output is correct
83 Correct 19 ms 968 KB Output is correct
84 Correct 24 ms 968 KB Output is correct
85 Correct 24 ms 968 KB Output is correct
86 Correct 24 ms 968 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 436 KB Output is correct
4 Correct 3 ms 584 KB Output is correct
5 Correct 4 ms 584 KB Output is correct
6 Correct 4 ms 584 KB Output is correct
7 Correct 4 ms 584 KB Output is correct
8 Correct 3 ms 584 KB Output is correct
9 Correct 3 ms 664 KB Output is correct
10 Correct 4 ms 752 KB Output is correct
11 Correct 4 ms 752 KB Output is correct
12 Correct 5 ms 752 KB Output is correct
13 Correct 4 ms 752 KB Output is correct
14 Correct 3 ms 752 KB Output is correct
15 Correct 4 ms 752 KB Output is correct
16 Correct 5 ms 752 KB Output is correct
17 Correct 4 ms 752 KB Output is correct
18 Correct 5 ms 752 KB Output is correct
19 Correct 5 ms 752 KB Output is correct
20 Correct 4 ms 752 KB Output is correct
21 Correct 5 ms 752 KB Output is correct
22 Correct 6 ms 752 KB Output is correct
23 Correct 4 ms 752 KB Output is correct
24 Correct 4 ms 756 KB Output is correct
25 Correct 4 ms 756 KB Output is correct
26 Correct 4 ms 756 KB Output is correct
27 Correct 4 ms 756 KB Output is correct
28 Correct 3 ms 756 KB Output is correct
29 Correct 3 ms 756 KB Output is correct
30 Correct 6 ms 756 KB Output is correct
31 Correct 5 ms 756 KB Output is correct
32 Correct 5 ms 756 KB Output is correct
33 Correct 4 ms 756 KB Output is correct
34 Correct 5 ms 756 KB Output is correct
35 Correct 5 ms 756 KB Output is correct
36 Correct 5 ms 756 KB Output is correct
37 Correct 7 ms 756 KB Output is correct
38 Correct 4 ms 756 KB Output is correct
39 Correct 4 ms 756 KB Output is correct
40 Correct 4 ms 756 KB Output is correct
41 Correct 5 ms 756 KB Output is correct
42 Correct 3 ms 756 KB Output is correct
43 Correct 4 ms 756 KB Output is correct
44 Correct 4 ms 756 KB Output is correct
45 Correct 6 ms 756 KB Output is correct
46 Correct 17 ms 764 KB Output is correct
47 Correct 18 ms 764 KB Output is correct
48 Correct 17 ms 824 KB Output is correct
49 Correct 13 ms 824 KB Output is correct
50 Correct 13 ms 824 KB Output is correct
51 Correct 13 ms 824 KB Output is correct
52 Correct 13 ms 908 KB Output is correct
53 Correct 14 ms 908 KB Output is correct
54 Correct 13 ms 968 KB Output is correct
55 Correct 14 ms 968 KB Output is correct
56 Correct 15 ms 968 KB Output is correct
57 Correct 35 ms 968 KB Output is correct
58 Correct 42 ms 968 KB Output is correct
59 Correct 26 ms 968 KB Output is correct
60 Correct 25 ms 968 KB Output is correct
61 Correct 24 ms 968 KB Output is correct
62 Correct 21 ms 968 KB Output is correct
63 Correct 22 ms 968 KB Output is correct
64 Correct 17 ms 968 KB Output is correct
65 Correct 19 ms 968 KB Output is correct
66 Correct 29 ms 968 KB Output is correct
67 Correct 19 ms 968 KB Output is correct
68 Correct 14 ms 968 KB Output is correct
69 Correct 15 ms 968 KB Output is correct
70 Correct 13 ms 968 KB Output is correct
71 Correct 15 ms 968 KB Output is correct
72 Correct 24 ms 968 KB Output is correct
73 Correct 30 ms 968 KB Output is correct
74 Correct 19 ms 968 KB Output is correct
75 Correct 15 ms 968 KB Output is correct
76 Correct 13 ms 968 KB Output is correct
77 Correct 13 ms 968 KB Output is correct
78 Correct 15 ms 968 KB Output is correct
79 Correct 41 ms 968 KB Output is correct
80 Correct 15 ms 968 KB Output is correct
81 Correct 21 ms 968 KB Output is correct
82 Correct 37 ms 968 KB Output is correct
83 Correct 19 ms 968 KB Output is correct
84 Correct 24 ms 968 KB Output is correct
85 Correct 24 ms 968 KB Output is correct
86 Correct 24 ms 968 KB Output is correct
87 Correct 46 ms 968 KB Output is correct
88 Correct 191 ms 1724 KB Output is correct
89 Correct 754 ms 3772 KB Output is correct
90 Correct 664 ms 3832 KB Output is correct
91 Incorrect 744 ms 3832 KB Output isn't correct
92 Halted 0 ms 0 KB -