oj.uz

Submission #49250

# Submission time Handle Problem Language Result Execution time Memory
49250 2018-05-24T13:28:23 Z spencercompton Construction of Highway (JOI18_construction) C++17
16 / 100
 1000 ms 7140 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+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;
	scanf("%d",&n);
	assert(n<=100000);
	for(int i = 0; i<n; i++){
		assert(i<100000);
		l[i] = -1;
		r[i] = -1;
		p[i] = -1;
		sub[i] = 1;
		pri[i] = rand();
		scanf("%d",&val[i]);
		par[i] = -1;
	}
	for(int i = 0; i+1<n; i++){
		int a, b;
		scanf("%d %d",&a,&b);
		a--;
		b--;
		assert(a<100000 && b<100000);
		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);
		if(both.first!=-1){
			p[both.first] = -1;
		}
		if(both.second!=-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);
				if(both2.first!=-1){
					p[both2.first] = -1;
				}
				if(both2.second!=-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 << "\n";
	}
}

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++){
                 ~^~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:157:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&n);
  ~~~~~^~~~~~~~~
construction.cpp:166:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&val[i]);
   ~~~~~^~~~~~~~~~~~~~
construction.cpp:171:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d",&a,&b);
   ~~~~~^~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 356 KB Output is correct
3 Correct 3 ms 432 KB Output is correct
4 Correct 4 ms 576 KB Output is correct
5 Correct 4 ms 576 KB Output is correct
6 Correct 3 ms 576 KB Output is correct
7 Correct 5 ms 576 KB Output is correct
8 Correct 3 ms 648 KB Output is correct
9 Correct 3 ms 648 KB Output is correct
10 Correct 4 ms 648 KB Output is correct
11 Correct 4 ms 648 KB Output is correct
12 Correct 4 ms 688 KB Output is correct
13 Correct 4 ms 688 KB Output is correct
14 Correct 3 ms 688 KB Output is correct
15 Correct 5 ms 688 KB Output is correct
16 Correct 4 ms 688 KB Output is correct
17 Correct 4 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 3 ms 688 KB Output is correct
20 Correct 3 ms 688 KB Output is correct
21 Correct 4 ms 688 KB Output is correct
22 Correct 4 ms 688 KB Output is correct
23 Correct 3 ms 688 KB Output is correct
24 Correct 4 ms 688 KB Output is correct
25 Correct 5 ms 688 KB Output is correct
26 Correct 3 ms 688 KB Output is correct
27 Correct 4 ms 688 KB Output is correct
28 Correct 3 ms 688 KB Output is correct
29 Correct 4 ms 688 KB Output is correct
30 Correct 3 ms 736 KB Output is correct
31 Correct 5 ms 736 KB Output is correct
32 Correct 3 ms 736 KB Output is correct
33 Correct 3 ms 736 KB Output is correct
34 Correct 3 ms 736 KB Output is correct
35 Correct 3 ms 736 KB Output is correct
36 Correct 3 ms 736 KB Output is correct
37 Correct 3 ms 736 KB Output is correct
38 Correct 3 ms 736 KB Output is correct
39 Correct 4 ms 736 KB Output is correct
40 Correct 4 ms 736 KB Output is correct
41 Correct 4 ms 736 KB Output is correct
42 Correct 4 ms 736 KB Output is correct
43 Correct 4 ms 736 KB Output is correct
44 Correct 4 ms 736 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 356 KB Output is correct
3 Correct 3 ms 432 KB Output is correct
4 Correct 4 ms 576 KB Output is correct
5 Correct 4 ms 576 KB Output is correct
6 Correct 3 ms 576 KB Output is correct
7 Correct 5 ms 576 KB Output is correct
8 Correct 3 ms 648 KB Output is correct
9 Correct 3 ms 648 KB Output is correct
10 Correct 4 ms 648 KB Output is correct
11 Correct 4 ms 648 KB Output is correct
12 Correct 4 ms 688 KB Output is correct
13 Correct 4 ms 688 KB Output is correct
14 Correct 3 ms 688 KB Output is correct
15 Correct 5 ms 688 KB Output is correct
16 Correct 4 ms 688 KB Output is correct
17 Correct 4 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 3 ms 688 KB Output is correct
20 Correct 3 ms 688 KB Output is correct
21 Correct 4 ms 688 KB Output is correct
22 Correct 4 ms 688 KB Output is correct
23 Correct 3 ms 688 KB Output is correct
24 Correct 4 ms 688 KB Output is correct
25 Correct 5 ms 688 KB Output is correct
26 Correct 3 ms 688 KB Output is correct
27 Correct 4 ms 688 KB Output is correct
28 Correct 3 ms 688 KB Output is correct
29 Correct 4 ms 688 KB Output is correct
30 Correct 3 ms 736 KB Output is correct
31 Correct 5 ms 736 KB Output is correct
32 Correct 3 ms 736 KB Output is correct
33 Correct 3 ms 736 KB Output is correct
34 Correct 3 ms 736 KB Output is correct
35 Correct 3 ms 736 KB Output is correct
36 Correct 3 ms 736 KB Output is correct
37 Correct 3 ms 736 KB Output is correct
38 Correct 3 ms 736 KB Output is correct
39 Correct 4 ms 736 KB Output is correct
40 Correct 4 ms 736 KB Output is correct
41 Correct 4 ms 736 KB Output is correct
42 Correct 4 ms 736 KB Output is correct
43 Correct 4 ms 736 KB Output is correct
44 Correct 4 ms 736 KB Output is correct
45 Correct 5 ms 736 KB Output is correct
46 Correct 14 ms 764 KB Output is correct
47 Correct 14 ms 764 KB Output is correct
48 Correct 13 ms 780 KB Output is correct
49 Correct 8 ms 800 KB Output is correct
50 Correct 13 ms 800 KB Output is correct
51 Correct 8 ms 812 KB Output is correct
52 Correct 11 ms 956 KB Output is correct
53 Correct 13 ms 956 KB Output is correct
54 Correct 10 ms 956 KB Output is correct
55 Correct 15 ms 956 KB Output is correct
56 Correct 15 ms 956 KB Output is correct
57 Correct 20 ms 956 KB Output is correct
58 Correct 22 ms 956 KB Output is correct
59 Correct 21 ms 956 KB Output is correct
60 Correct 20 ms 956 KB Output is correct
61 Correct 11 ms 956 KB Output is correct
62 Correct 10 ms 956 KB Output is correct
63 Correct 10 ms 956 KB Output is correct
64 Correct 12 ms 956 KB Output is correct
65 Correct 11 ms 956 KB Output is correct
66 Correct 12 ms 956 KB Output is correct
67 Correct 11 ms 956 KB Output is correct
68 Correct 8 ms 956 KB Output is correct
69 Correct 8 ms 956 KB Output is correct
70 Correct 10 ms 956 KB Output is correct
71 Correct 7 ms 956 KB Output is correct
72 Correct 15 ms 956 KB Output is correct
73 Correct 17 ms 956 KB Output is correct
74 Correct 11 ms 956 KB Output is correct
75 Correct 10 ms 956 KB Output is correct
76 Correct 10 ms 956 KB Output is correct
77 Correct 10 ms 956 KB Output is correct
78 Correct 9 ms 956 KB Output is correct
79 Correct 13 ms 956 KB Output is correct
80 Correct 10 ms 956 KB Output is correct
81 Correct 11 ms 956 KB Output is correct
82 Correct 12 ms 956 KB Output is correct
83 Correct 11 ms 956 KB Output is correct
84 Correct 11 ms 956 KB Output is correct
85 Correct 11 ms 956 KB Output is correct
86 Correct 10 ms 956 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 356 KB Output is correct
3 Correct 3 ms 432 KB Output is correct
4 Correct 4 ms 576 KB Output is correct
5 Correct 4 ms 576 KB Output is correct
6 Correct 3 ms 576 KB Output is correct
7 Correct 5 ms 576 KB Output is correct
8 Correct 3 ms 648 KB Output is correct
9 Correct 3 ms 648 KB Output is correct
10 Correct 4 ms 648 KB Output is correct
11 Correct 4 ms 648 KB Output is correct
12 Correct 4 ms 688 KB Output is correct
13 Correct 4 ms 688 KB Output is correct
14 Correct 3 ms 688 KB Output is correct
15 Correct 5 ms 688 KB Output is correct
16 Correct 4 ms 688 KB Output is correct
17 Correct 4 ms 688 KB Output is correct
18 Correct 5 ms 688 KB Output is correct
19 Correct 3 ms 688 KB Output is correct
20 Correct 3 ms 688 KB Output is correct
21 Correct 4 ms 688 KB Output is correct
22 Correct 4 ms 688 KB Output is correct
23 Correct 3 ms 688 KB Output is correct
24 Correct 4 ms 688 KB Output is correct
25 Correct 5 ms 688 KB Output is correct
26 Correct 3 ms 688 KB Output is correct
27 Correct 4 ms 688 KB Output is correct
28 Correct 3 ms 688 KB Output is correct
29 Correct 4 ms 688 KB Output is correct
30 Correct 3 ms 736 KB Output is correct
31 Correct 5 ms 736 KB Output is correct
32 Correct 3 ms 736 KB Output is correct
33 Correct 3 ms 736 KB Output is correct
34 Correct 3 ms 736 KB Output is correct
35 Correct 3 ms 736 KB Output is correct
36 Correct 3 ms 736 KB Output is correct
37 Correct 3 ms 736 KB Output is correct
38 Correct 3 ms 736 KB Output is correct
39 Correct 4 ms 736 KB Output is correct
40 Correct 4 ms 736 KB Output is correct
41 Correct 4 ms 736 KB Output is correct
42 Correct 4 ms 736 KB Output is correct
43 Correct 4 ms 736 KB Output is correct
44 Correct 4 ms 736 KB Output is correct
45 Correct 5 ms 736 KB Output is correct
46 Correct 14 ms 764 KB Output is correct
47 Correct 14 ms 764 KB Output is correct
48 Correct 13 ms 780 KB Output is correct
49 Correct 8 ms 800 KB Output is correct
50 Correct 13 ms 800 KB Output is correct
51 Correct 8 ms 812 KB Output is correct
52 Correct 11 ms 956 KB Output is correct
53 Correct 13 ms 956 KB Output is correct
54 Correct 10 ms 956 KB Output is correct
55 Correct 15 ms 956 KB Output is correct
56 Correct 15 ms 956 KB Output is correct
57 Correct 20 ms 956 KB Output is correct
58 Correct 22 ms 956 KB Output is correct
59 Correct 21 ms 956 KB Output is correct
60 Correct 20 ms 956 KB Output is correct
61 Correct 11 ms 956 KB Output is correct
62 Correct 10 ms 956 KB Output is correct
63 Correct 10 ms 956 KB Output is correct
64 Correct 12 ms 956 KB Output is correct
65 Correct 11 ms 956 KB Output is correct
66 Correct 12 ms 956 KB Output is correct
67 Correct 11 ms 956 KB Output is correct
68 Correct 8 ms 956 KB Output is correct
69 Correct 8 ms 956 KB Output is correct
70 Correct 10 ms 956 KB Output is correct
71 Correct 7 ms 956 KB Output is correct
72 Correct 15 ms 956 KB Output is correct
73 Correct 17 ms 956 KB Output is correct
74 Correct 11 ms 956 KB Output is correct
75 Correct 10 ms 956 KB Output is correct
76 Correct 10 ms 956 KB Output is correct
77 Correct 10 ms 956 KB Output is correct
78 Correct 9 ms 956 KB Output is correct
79 Correct 13 ms 956 KB Output is correct
80 Correct 10 ms 956 KB Output is correct
81 Correct 11 ms 956 KB Output is correct
82 Correct 12 ms 956 KB Output is correct
83 Correct 11 ms 956 KB Output is correct
84 Correct 11 ms 956 KB Output is correct
85 Correct 11 ms 956 KB Output is correct
86 Correct 10 ms 956 KB Output is correct
87 Correct 34 ms 956 KB Output is correct
88 Correct 126 ms 1684 KB Output is correct
89 Correct 546 ms 3600 KB Output is correct
90 Correct 550 ms 3772 KB Output is correct
91 Correct 470 ms 3788 KB Output is correct
92 Correct 226 ms 3788 KB Output is correct
93 Correct 228 ms 3788 KB Output is correct
94 Correct 200 ms 3788 KB Output is correct
95 Correct 314 ms 6976 KB Output is correct
96 Correct 308 ms 6976 KB Output is correct
97 Correct 312 ms 7140 KB Output is correct
98 Correct 311 ms 7140 KB Output is correct
99 Correct 271 ms 7140 KB Output is correct
100 Execution timed out 1016 ms 7140 KB Time limit exceeded
101 Halted 0 ms 0 KB -