답안 #49233

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
49233 2018-05-24T00:38:41 Z spencercompton Construction of Highway (JOI18_construction) C++17
100 / 100
919 ms 7128 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int l[100001];
int r[100001];
int p[100001];
int sub[100001];
int pri[100001];
int val[100001];
int par[100001];
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;
	assert(n<=100000);
	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--;
		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);
		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 << "\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++){
                 ~^~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 372 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 2 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 3 ms 484 KB Output is correct
6 Correct 3 ms 496 KB Output is correct
7 Correct 4 ms 496 KB Output is correct
8 Correct 3 ms 496 KB Output is correct
9 Correct 2 ms 624 KB Output is correct
10 Correct 3 ms 624 KB Output is correct
11 Correct 3 ms 624 KB Output is correct
12 Correct 3 ms 624 KB Output is correct
13 Correct 3 ms 624 KB Output is correct
14 Correct 9 ms 624 KB Output is correct
15 Correct 4 ms 624 KB Output is correct
16 Correct 4 ms 624 KB Output is correct
17 Correct 4 ms 624 KB Output is correct
18 Correct 4 ms 624 KB Output is correct
19 Correct 4 ms 624 KB Output is correct
20 Correct 3 ms 624 KB Output is correct
21 Correct 4 ms 624 KB Output is correct
22 Correct 3 ms 652 KB Output is correct
23 Correct 4 ms 652 KB Output is correct
24 Correct 4 ms 652 KB Output is correct
25 Correct 4 ms 652 KB Output is correct
26 Correct 3 ms 652 KB Output is correct
27 Correct 12 ms 652 KB Output is correct
28 Correct 3 ms 684 KB Output is correct
29 Correct 4 ms 684 KB Output is correct
30 Correct 4 ms 684 KB Output is correct
31 Correct 3 ms 684 KB Output is correct
32 Correct 3 ms 684 KB Output is correct
33 Correct 3 ms 684 KB Output is correct
34 Correct 3 ms 692 KB Output is correct
35 Correct 3 ms 692 KB Output is correct
36 Correct 3 ms 692 KB Output is correct
37 Correct 3 ms 692 KB Output is correct
38 Correct 3 ms 692 KB Output is correct
39 Correct 3 ms 692 KB Output is correct
40 Correct 6 ms 692 KB Output is correct
41 Correct 3 ms 692 KB Output is correct
42 Correct 7 ms 692 KB Output is correct
43 Correct 7 ms 692 KB Output is correct
44 Correct 3 ms 768 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 372 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 2 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 3 ms 484 KB Output is correct
6 Correct 3 ms 496 KB Output is correct
7 Correct 4 ms 496 KB Output is correct
8 Correct 3 ms 496 KB Output is correct
9 Correct 2 ms 624 KB Output is correct
10 Correct 3 ms 624 KB Output is correct
11 Correct 3 ms 624 KB Output is correct
12 Correct 3 ms 624 KB Output is correct
13 Correct 3 ms 624 KB Output is correct
14 Correct 9 ms 624 KB Output is correct
15 Correct 4 ms 624 KB Output is correct
16 Correct 4 ms 624 KB Output is correct
17 Correct 4 ms 624 KB Output is correct
18 Correct 4 ms 624 KB Output is correct
19 Correct 4 ms 624 KB Output is correct
20 Correct 3 ms 624 KB Output is correct
21 Correct 4 ms 624 KB Output is correct
22 Correct 3 ms 652 KB Output is correct
23 Correct 4 ms 652 KB Output is correct
24 Correct 4 ms 652 KB Output is correct
25 Correct 4 ms 652 KB Output is correct
26 Correct 3 ms 652 KB Output is correct
27 Correct 12 ms 652 KB Output is correct
28 Correct 3 ms 684 KB Output is correct
29 Correct 4 ms 684 KB Output is correct
30 Correct 4 ms 684 KB Output is correct
31 Correct 3 ms 684 KB Output is correct
32 Correct 3 ms 684 KB Output is correct
33 Correct 3 ms 684 KB Output is correct
34 Correct 3 ms 692 KB Output is correct
35 Correct 3 ms 692 KB Output is correct
36 Correct 3 ms 692 KB Output is correct
37 Correct 3 ms 692 KB Output is correct
38 Correct 3 ms 692 KB Output is correct
39 Correct 3 ms 692 KB Output is correct
40 Correct 6 ms 692 KB Output is correct
41 Correct 3 ms 692 KB Output is correct
42 Correct 7 ms 692 KB Output is correct
43 Correct 7 ms 692 KB Output is correct
44 Correct 3 ms 768 KB Output is correct
45 Correct 4 ms 768 KB Output is correct
46 Correct 13 ms 768 KB Output is correct
47 Correct 14 ms 768 KB Output is correct
48 Correct 14 ms 780 KB Output is correct
49 Correct 9 ms 796 KB Output is correct
50 Correct 8 ms 796 KB Output is correct
51 Correct 7 ms 796 KB Output is correct
52 Correct 9 ms 940 KB Output is correct
53 Correct 12 ms 940 KB Output is correct
54 Correct 16 ms 940 KB Output is correct
55 Correct 9 ms 992 KB Output is correct
56 Correct 9 ms 992 KB Output is correct
57 Correct 25 ms 992 KB Output is correct
58 Correct 20 ms 992 KB Output is correct
59 Correct 18 ms 992 KB Output is correct
60 Correct 20 ms 992 KB Output is correct
61 Correct 11 ms 992 KB Output is correct
62 Correct 9 ms 992 KB Output is correct
63 Correct 12 ms 992 KB Output is correct
64 Correct 11 ms 992 KB Output is correct
65 Correct 23 ms 992 KB Output is correct
66 Correct 23 ms 992 KB Output is correct
67 Correct 12 ms 992 KB Output is correct
68 Correct 9 ms 992 KB Output is correct
69 Correct 8 ms 992 KB Output is correct
70 Correct 8 ms 992 KB Output is correct
71 Correct 9 ms 992 KB Output is correct
72 Correct 16 ms 992 KB Output is correct
73 Correct 18 ms 992 KB Output is correct
74 Correct 9 ms 992 KB Output is correct
75 Correct 13 ms 992 KB Output is correct
76 Correct 12 ms 992 KB Output is correct
77 Correct 12 ms 992 KB Output is correct
78 Correct 7 ms 992 KB Output is correct
79 Correct 7 ms 992 KB Output is correct
80 Correct 7 ms 992 KB Output is correct
81 Correct 9 ms 992 KB Output is correct
82 Correct 10 ms 992 KB Output is correct
83 Correct 10 ms 992 KB Output is correct
84 Correct 9 ms 992 KB Output is correct
85 Correct 9 ms 992 KB Output is correct
86 Correct 11 ms 992 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 372 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 2 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 3 ms 484 KB Output is correct
6 Correct 3 ms 496 KB Output is correct
7 Correct 4 ms 496 KB Output is correct
8 Correct 3 ms 496 KB Output is correct
9 Correct 2 ms 624 KB Output is correct
10 Correct 3 ms 624 KB Output is correct
11 Correct 3 ms 624 KB Output is correct
12 Correct 3 ms 624 KB Output is correct
13 Correct 3 ms 624 KB Output is correct
14 Correct 9 ms 624 KB Output is correct
15 Correct 4 ms 624 KB Output is correct
16 Correct 4 ms 624 KB Output is correct
17 Correct 4 ms 624 KB Output is correct
18 Correct 4 ms 624 KB Output is correct
19 Correct 4 ms 624 KB Output is correct
20 Correct 3 ms 624 KB Output is correct
21 Correct 4 ms 624 KB Output is correct
22 Correct 3 ms 652 KB Output is correct
23 Correct 4 ms 652 KB Output is correct
24 Correct 4 ms 652 KB Output is correct
25 Correct 4 ms 652 KB Output is correct
26 Correct 3 ms 652 KB Output is correct
27 Correct 12 ms 652 KB Output is correct
28 Correct 3 ms 684 KB Output is correct
29 Correct 4 ms 684 KB Output is correct
30 Correct 4 ms 684 KB Output is correct
31 Correct 3 ms 684 KB Output is correct
32 Correct 3 ms 684 KB Output is correct
33 Correct 3 ms 684 KB Output is correct
34 Correct 3 ms 692 KB Output is correct
35 Correct 3 ms 692 KB Output is correct
36 Correct 3 ms 692 KB Output is correct
37 Correct 3 ms 692 KB Output is correct
38 Correct 3 ms 692 KB Output is correct
39 Correct 3 ms 692 KB Output is correct
40 Correct 6 ms 692 KB Output is correct
41 Correct 3 ms 692 KB Output is correct
42 Correct 7 ms 692 KB Output is correct
43 Correct 7 ms 692 KB Output is correct
44 Correct 3 ms 768 KB Output is correct
45 Correct 4 ms 768 KB Output is correct
46 Correct 13 ms 768 KB Output is correct
47 Correct 14 ms 768 KB Output is correct
48 Correct 14 ms 780 KB Output is correct
49 Correct 9 ms 796 KB Output is correct
50 Correct 8 ms 796 KB Output is correct
51 Correct 7 ms 796 KB Output is correct
52 Correct 9 ms 940 KB Output is correct
53 Correct 12 ms 940 KB Output is correct
54 Correct 16 ms 940 KB Output is correct
55 Correct 9 ms 992 KB Output is correct
56 Correct 9 ms 992 KB Output is correct
57 Correct 25 ms 992 KB Output is correct
58 Correct 20 ms 992 KB Output is correct
59 Correct 18 ms 992 KB Output is correct
60 Correct 20 ms 992 KB Output is correct
61 Correct 11 ms 992 KB Output is correct
62 Correct 9 ms 992 KB Output is correct
63 Correct 12 ms 992 KB Output is correct
64 Correct 11 ms 992 KB Output is correct
65 Correct 23 ms 992 KB Output is correct
66 Correct 23 ms 992 KB Output is correct
67 Correct 12 ms 992 KB Output is correct
68 Correct 9 ms 992 KB Output is correct
69 Correct 8 ms 992 KB Output is correct
70 Correct 8 ms 992 KB Output is correct
71 Correct 9 ms 992 KB Output is correct
72 Correct 16 ms 992 KB Output is correct
73 Correct 18 ms 992 KB Output is correct
74 Correct 9 ms 992 KB Output is correct
75 Correct 13 ms 992 KB Output is correct
76 Correct 12 ms 992 KB Output is correct
77 Correct 12 ms 992 KB Output is correct
78 Correct 7 ms 992 KB Output is correct
79 Correct 7 ms 992 KB Output is correct
80 Correct 7 ms 992 KB Output is correct
81 Correct 9 ms 992 KB Output is correct
82 Correct 10 ms 992 KB Output is correct
83 Correct 10 ms 992 KB Output is correct
84 Correct 9 ms 992 KB Output is correct
85 Correct 9 ms 992 KB Output is correct
86 Correct 11 ms 992 KB Output is correct
87 Correct 35 ms 992 KB Output is correct
88 Correct 90 ms 1588 KB Output is correct
89 Correct 454 ms 3896 KB Output is correct
90 Correct 385 ms 3900 KB Output is correct
91 Correct 388 ms 3900 KB Output is correct
92 Correct 214 ms 3900 KB Output is correct
93 Correct 187 ms 3900 KB Output is correct
94 Correct 188 ms 3900 KB Output is correct
95 Correct 207 ms 6968 KB Output is correct
96 Correct 244 ms 6992 KB Output is correct
97 Correct 244 ms 6992 KB Output is correct
98 Correct 253 ms 7128 KB Output is correct
99 Correct 239 ms 7128 KB Output is correct
100 Correct 882 ms 7128 KB Output is correct
101 Correct 919 ms 7128 KB Output is correct
102 Correct 914 ms 7128 KB Output is correct
103 Correct 835 ms 7128 KB Output is correct
104 Correct 475 ms 7128 KB Output is correct
105 Correct 354 ms 7128 KB Output is correct
106 Correct 352 ms 7128 KB Output is correct
107 Correct 438 ms 7128 KB Output is correct
108 Correct 576 ms 7128 KB Output is correct
109 Correct 578 ms 7128 KB Output is correct
110 Correct 170 ms 7128 KB Output is correct
111 Correct 250 ms 7128 KB Output is correct
112 Correct 202 ms 7128 KB Output is correct
113 Correct 201 ms 7128 KB Output is correct
114 Correct 721 ms 7128 KB Output is correct
115 Correct 869 ms 7128 KB Output is correct
116 Correct 327 ms 7128 KB Output is correct
117 Correct 222 ms 7128 KB Output is correct
118 Correct 204 ms 7128 KB Output is correct
119 Correct 194 ms 7128 KB Output is correct
120 Correct 198 ms 7128 KB Output is correct
121 Correct 234 ms 7128 KB Output is correct
122 Correct 185 ms 7128 KB Output is correct
123 Correct 296 ms 7128 KB Output is correct
124 Correct 298 ms 7128 KB Output is correct
125 Correct 342 ms 7128 KB Output is correct
126 Correct 297 ms 7128 KB Output is correct
127 Correct 300 ms 7128 KB Output is correct
128 Correct 307 ms 7128 KB Output is correct