Submission #49228

# Submission time Handle Problem Language Result Execution time Memory
49228 2018-05-24T00:25:59 Z spencercompton Construction of Highway (JOI18_construction) C++17
16 / 100
1000 ms 29100 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int l[200000];
int r[200000];
int p[200000];
int sub[200000];
int pri[200000];
int val[200000];
int par[200000];
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+5);
		}
		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 380 KB Output is correct
2 Correct 2 ms 556 KB Output is correct
3 Correct 4 ms 556 KB Output is correct
4 Correct 3 ms 592 KB Output is correct
5 Correct 4 ms 592 KB Output is correct
6 Correct 4 ms 592 KB Output is correct
7 Correct 3 ms 592 KB Output is correct
8 Correct 3 ms 592 KB Output is correct
9 Correct 3 ms 592 KB Output is correct
10 Correct 3 ms 592 KB Output is correct
11 Correct 4 ms 592 KB Output is correct
12 Correct 4 ms 596 KB Output is correct
13 Correct 4 ms 636 KB Output is correct
14 Correct 5 ms 636 KB Output is correct
15 Correct 5 ms 636 KB Output is correct
16 Correct 4 ms 636 KB Output is correct
17 Correct 4 ms 636 KB Output is correct
18 Correct 5 ms 640 KB Output is correct
19 Correct 4 ms 640 KB Output is correct
20 Correct 4 ms 712 KB Output is correct
21 Correct 8 ms 712 KB Output is correct
22 Correct 5 ms 712 KB Output is correct
23 Correct 4 ms 712 KB Output is correct
24 Correct 4 ms 712 KB Output is correct
25 Correct 5 ms 712 KB Output is correct
26 Correct 3 ms 712 KB Output is correct
27 Correct 3 ms 712 KB Output is correct
28 Correct 4 ms 712 KB Output is correct
29 Correct 4 ms 712 KB Output is correct
30 Correct 4 ms 712 KB Output is correct
31 Correct 5 ms 712 KB Output is correct
32 Correct 4 ms 712 KB Output is correct
33 Correct 4 ms 712 KB Output is correct
34 Correct 4 ms 712 KB Output is correct
35 Correct 5 ms 712 KB Output is correct
36 Correct 5 ms 712 KB Output is correct
37 Correct 8 ms 712 KB Output is correct
38 Correct 3 ms 712 KB Output is correct
39 Correct 4 ms 712 KB Output is correct
40 Correct 4 ms 712 KB Output is correct
41 Correct 3 ms 712 KB Output is correct
42 Correct 3 ms 712 KB Output is correct
43 Correct 3 ms 712 KB Output is correct
44 Correct 3 ms 712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 556 KB Output is correct
3 Correct 4 ms 556 KB Output is correct
4 Correct 3 ms 592 KB Output is correct
5 Correct 4 ms 592 KB Output is correct
6 Correct 4 ms 592 KB Output is correct
7 Correct 3 ms 592 KB Output is correct
8 Correct 3 ms 592 KB Output is correct
9 Correct 3 ms 592 KB Output is correct
10 Correct 3 ms 592 KB Output is correct
11 Correct 4 ms 592 KB Output is correct
12 Correct 4 ms 596 KB Output is correct
13 Correct 4 ms 636 KB Output is correct
14 Correct 5 ms 636 KB Output is correct
15 Correct 5 ms 636 KB Output is correct
16 Correct 4 ms 636 KB Output is correct
17 Correct 4 ms 636 KB Output is correct
18 Correct 5 ms 640 KB Output is correct
19 Correct 4 ms 640 KB Output is correct
20 Correct 4 ms 712 KB Output is correct
21 Correct 8 ms 712 KB Output is correct
22 Correct 5 ms 712 KB Output is correct
23 Correct 4 ms 712 KB Output is correct
24 Correct 4 ms 712 KB Output is correct
25 Correct 5 ms 712 KB Output is correct
26 Correct 3 ms 712 KB Output is correct
27 Correct 3 ms 712 KB Output is correct
28 Correct 4 ms 712 KB Output is correct
29 Correct 4 ms 712 KB Output is correct
30 Correct 4 ms 712 KB Output is correct
31 Correct 5 ms 712 KB Output is correct
32 Correct 4 ms 712 KB Output is correct
33 Correct 4 ms 712 KB Output is correct
34 Correct 4 ms 712 KB Output is correct
35 Correct 5 ms 712 KB Output is correct
36 Correct 5 ms 712 KB Output is correct
37 Correct 8 ms 712 KB Output is correct
38 Correct 3 ms 712 KB Output is correct
39 Correct 4 ms 712 KB Output is correct
40 Correct 4 ms 712 KB Output is correct
41 Correct 3 ms 712 KB Output is correct
42 Correct 3 ms 712 KB Output is correct
43 Correct 3 ms 712 KB Output is correct
44 Correct 3 ms 712 KB Output is correct
45 Correct 5 ms 712 KB Output is correct
46 Correct 17 ms 800 KB Output is correct
47 Correct 17 ms 800 KB Output is correct
48 Correct 18 ms 800 KB Output is correct
49 Correct 18 ms 800 KB Output is correct
50 Correct 42 ms 892 KB Output is correct
51 Correct 13 ms 892 KB Output is correct
52 Correct 14 ms 1084 KB Output is correct
53 Correct 14 ms 1084 KB Output is correct
54 Correct 19 ms 1084 KB Output is correct
55 Correct 13 ms 1084 KB Output is correct
56 Correct 13 ms 1084 KB Output is correct
57 Correct 21 ms 1084 KB Output is correct
58 Correct 30 ms 1084 KB Output is correct
59 Correct 33 ms 1084 KB Output is correct
60 Correct 31 ms 1084 KB Output is correct
61 Correct 22 ms 1084 KB Output is correct
62 Correct 15 ms 1084 KB Output is correct
63 Correct 17 ms 1084 KB Output is correct
64 Correct 18 ms 1084 KB Output is correct
65 Correct 17 ms 1084 KB Output is correct
66 Correct 18 ms 1084 KB Output is correct
67 Correct 19 ms 1084 KB Output is correct
68 Correct 12 ms 1084 KB Output is correct
69 Correct 13 ms 1084 KB Output is correct
70 Correct 13 ms 1084 KB Output is correct
71 Correct 19 ms 1084 KB Output is correct
72 Correct 20 ms 1084 KB Output is correct
73 Correct 43 ms 1084 KB Output is correct
74 Correct 16 ms 1084 KB Output is correct
75 Correct 15 ms 1084 KB Output is correct
76 Correct 15 ms 1084 KB Output is correct
77 Correct 14 ms 1084 KB Output is correct
78 Correct 16 ms 1084 KB Output is correct
79 Correct 14 ms 1084 KB Output is correct
80 Correct 14 ms 1084 KB Output is correct
81 Correct 17 ms 1084 KB Output is correct
82 Correct 17 ms 1084 KB Output is correct
83 Correct 16 ms 1084 KB Output is correct
84 Correct 15 ms 1084 KB Output is correct
85 Correct 15 ms 1084 KB Output is correct
86 Correct 14 ms 1084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 556 KB Output is correct
3 Correct 4 ms 556 KB Output is correct
4 Correct 3 ms 592 KB Output is correct
5 Correct 4 ms 592 KB Output is correct
6 Correct 4 ms 592 KB Output is correct
7 Correct 3 ms 592 KB Output is correct
8 Correct 3 ms 592 KB Output is correct
9 Correct 3 ms 592 KB Output is correct
10 Correct 3 ms 592 KB Output is correct
11 Correct 4 ms 592 KB Output is correct
12 Correct 4 ms 596 KB Output is correct
13 Correct 4 ms 636 KB Output is correct
14 Correct 5 ms 636 KB Output is correct
15 Correct 5 ms 636 KB Output is correct
16 Correct 4 ms 636 KB Output is correct
17 Correct 4 ms 636 KB Output is correct
18 Correct 5 ms 640 KB Output is correct
19 Correct 4 ms 640 KB Output is correct
20 Correct 4 ms 712 KB Output is correct
21 Correct 8 ms 712 KB Output is correct
22 Correct 5 ms 712 KB Output is correct
23 Correct 4 ms 712 KB Output is correct
24 Correct 4 ms 712 KB Output is correct
25 Correct 5 ms 712 KB Output is correct
26 Correct 3 ms 712 KB Output is correct
27 Correct 3 ms 712 KB Output is correct
28 Correct 4 ms 712 KB Output is correct
29 Correct 4 ms 712 KB Output is correct
30 Correct 4 ms 712 KB Output is correct
31 Correct 5 ms 712 KB Output is correct
32 Correct 4 ms 712 KB Output is correct
33 Correct 4 ms 712 KB Output is correct
34 Correct 4 ms 712 KB Output is correct
35 Correct 5 ms 712 KB Output is correct
36 Correct 5 ms 712 KB Output is correct
37 Correct 8 ms 712 KB Output is correct
38 Correct 3 ms 712 KB Output is correct
39 Correct 4 ms 712 KB Output is correct
40 Correct 4 ms 712 KB Output is correct
41 Correct 3 ms 712 KB Output is correct
42 Correct 3 ms 712 KB Output is correct
43 Correct 3 ms 712 KB Output is correct
44 Correct 3 ms 712 KB Output is correct
45 Correct 5 ms 712 KB Output is correct
46 Correct 17 ms 800 KB Output is correct
47 Correct 17 ms 800 KB Output is correct
48 Correct 18 ms 800 KB Output is correct
49 Correct 18 ms 800 KB Output is correct
50 Correct 42 ms 892 KB Output is correct
51 Correct 13 ms 892 KB Output is correct
52 Correct 14 ms 1084 KB Output is correct
53 Correct 14 ms 1084 KB Output is correct
54 Correct 19 ms 1084 KB Output is correct
55 Correct 13 ms 1084 KB Output is correct
56 Correct 13 ms 1084 KB Output is correct
57 Correct 21 ms 1084 KB Output is correct
58 Correct 30 ms 1084 KB Output is correct
59 Correct 33 ms 1084 KB Output is correct
60 Correct 31 ms 1084 KB Output is correct
61 Correct 22 ms 1084 KB Output is correct
62 Correct 15 ms 1084 KB Output is correct
63 Correct 17 ms 1084 KB Output is correct
64 Correct 18 ms 1084 KB Output is correct
65 Correct 17 ms 1084 KB Output is correct
66 Correct 18 ms 1084 KB Output is correct
67 Correct 19 ms 1084 KB Output is correct
68 Correct 12 ms 1084 KB Output is correct
69 Correct 13 ms 1084 KB Output is correct
70 Correct 13 ms 1084 KB Output is correct
71 Correct 19 ms 1084 KB Output is correct
72 Correct 20 ms 1084 KB Output is correct
73 Correct 43 ms 1084 KB Output is correct
74 Correct 16 ms 1084 KB Output is correct
75 Correct 15 ms 1084 KB Output is correct
76 Correct 15 ms 1084 KB Output is correct
77 Correct 14 ms 1084 KB Output is correct
78 Correct 16 ms 1084 KB Output is correct
79 Correct 14 ms 1084 KB Output is correct
80 Correct 14 ms 1084 KB Output is correct
81 Correct 17 ms 1084 KB Output is correct
82 Correct 17 ms 1084 KB Output is correct
83 Correct 16 ms 1084 KB Output is correct
84 Correct 15 ms 1084 KB Output is correct
85 Correct 15 ms 1084 KB Output is correct
86 Correct 14 ms 1084 KB Output is correct
87 Correct 42 ms 1084 KB Output is correct
88 Correct 162 ms 1740 KB Output is correct
89 Correct 514 ms 3644 KB Output is correct
90 Correct 614 ms 3888 KB Output is correct
91 Correct 546 ms 3888 KB Output is correct
92 Correct 330 ms 3888 KB Output is correct
93 Correct 320 ms 3888 KB Output is correct
94 Correct 352 ms 3888 KB Output is correct
95 Correct 471 ms 6968 KB Output is correct
96 Correct 411 ms 7176 KB Output is correct
97 Correct 415 ms 7176 KB Output is correct
98 Correct 433 ms 7176 KB Output is correct
99 Correct 427 ms 7176 KB Output is correct
100 Correct 819 ms 7176 KB Output is correct
101 Correct 914 ms 7176 KB Output is correct
102 Correct 972 ms 7940 KB Output is correct
103 Correct 968 ms 10116 KB Output is correct
104 Correct 608 ms 12228 KB Output is correct
105 Correct 557 ms 14452 KB Output is correct
106 Correct 509 ms 16472 KB Output is correct
107 Correct 550 ms 17868 KB Output is correct
108 Correct 621 ms 19176 KB Output is correct
109 Correct 728 ms 21016 KB Output is correct
110 Correct 478 ms 22380 KB Output is correct
111 Correct 437 ms 27360 KB Output is correct
112 Correct 437 ms 27360 KB Output is correct
113 Correct 424 ms 27360 KB Output is correct
114 Execution timed out 1086 ms 29100 KB Time limit exceeded
115 Halted 0 ms 0 KB -