Submission #521338

# Submission time Handle Problem Language Result Execution time Memory
521338 2022-02-01T18:58:01 Z Jasiekstrz Construction of Highway (JOI18_construction) C++17
100 / 100
388 ms 16120 KB
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=1e5;
const int P=(1<<17);
int tab[N+10];
int que[N+10];
vector<int> e[N+10];
int par[N+10];
int dep[N+10];
int up[N+10];
int pre[N+10];
int post[N+10];
int pot;
pair<int,int> tr[2*P+10];
long long fen[P+10];
void upd(int x,pair<int,int> c)
{
	for(x+=pot-1;x>=1;x/=2)
		tr[x]=max(tr[x],c);
	return;
}
pair<int,int> read(int l,int r)
{
	pair<int,int> ans={0,1};
	for(l+=pot-1,r+=pot-1;l<=r;l/=2,r/=2)
	{
		if(l%2==1)
			ans=max(ans,tr[l++]);
		if(r%2==0)
			ans=max(ans,tr[r--]);
	}
	return ans;
}
void dfs_pre(int x)
{
	static int nr=0;
	pre[x]=++nr;
	dep[x]=dep[par[x]]+1;
	for(auto v:e[x])
		dfs_pre(v);
	post[x]=nr;
	return;
}
int g(int x)
{
	return read(pre[x],post[x]).se;
}
int lsb(int x)
{
	return x&(-x);
}
long long read_inv(int x)
{
	long long ans=0;
	for(;x>0;x-=lsb(x))
		ans+=fen[x];
	return ans;
}
void add_inv(int x,long long c)
{
	for(;x<=pot;x+=lsb(x))
		fen[x]+=c;
	return;
}
long long solve_inv(vector<tuple<int,int,int>> &vec)
{
	sort(vec.begin(),vec.end());
	long long ans=0;
	for(auto [a,b,c]:vec)
	{
		b=-b;
		ans+=read_inv(b-1)*c;
		add_inv(b,c);
	}
	for(auto [a,b,c]:vec)
		add_inv(-b,-c);
	return ans;
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	int n;
	cin>>n;
	for(int i=1;i<=n;i++)
		cin>>tab[i];
	for(int i=1;i<n;i++)
	{
		int a,b;
		cin>>a>>b;
		e[a].push_back(b);
		par[b]=a;
		que[i]=b;
	}
	dfs_pre(1);
	for(pot=1;pot<n;pot*=2);
	for(int i=1;i<=2*pot;i++)
		tr[i]={0,1};
	for(int qi=1;qi<n;qi++)
	{
		vector<tuple<int,int,int>> vec;
		for(int x=par[que[qi]];x>0;)
		{
			int gr=g(x);
			//cerr<<qi<<" "<<x<<" "<<gr<<"\n";
			vec.push_back({tab[gr],-vec.size()-1,dep[x]-dep[up[gr]]});
			swap(x,up[gr]);
		}
		cout<<solve_inv(vec)<<"\n";
		upd(pre[que[qi]],{qi,que[qi]});
		up[que[qi]]=0;
	}
	return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2672 KB Output is correct
3 Correct 2 ms 2676 KB Output is correct
4 Correct 2 ms 2672 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 3 ms 2636 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 3 ms 2764 KB Output is correct
9 Correct 2 ms 2764 KB Output is correct
10 Correct 2 ms 2672 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2676 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2676 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 2 ms 2636 KB Output is correct
18 Correct 3 ms 2680 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2752 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2672 KB Output is correct
24 Correct 2 ms 2676 KB Output is correct
25 Correct 3 ms 2636 KB Output is correct
26 Correct 2 ms 2764 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2636 KB Output is correct
29 Correct 2 ms 2636 KB Output is correct
30 Correct 2 ms 2672 KB Output is correct
31 Correct 2 ms 2672 KB Output is correct
32 Correct 2 ms 2724 KB Output is correct
33 Correct 2 ms 2636 KB Output is correct
34 Correct 2 ms 2668 KB Output is correct
35 Correct 2 ms 2636 KB Output is correct
36 Correct 2 ms 2636 KB Output is correct
37 Correct 2 ms 2636 KB Output is correct
38 Correct 2 ms 2636 KB Output is correct
39 Correct 2 ms 2636 KB Output is correct
40 Correct 2 ms 2672 KB Output is correct
41 Correct 2 ms 2636 KB Output is correct
42 Correct 2 ms 2672 KB Output is correct
43 Correct 2 ms 2680 KB Output is correct
44 Correct 2 ms 2636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2672 KB Output is correct
3 Correct 2 ms 2676 KB Output is correct
4 Correct 2 ms 2672 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 3 ms 2636 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 3 ms 2764 KB Output is correct
9 Correct 2 ms 2764 KB Output is correct
10 Correct 2 ms 2672 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2676 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2676 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 2 ms 2636 KB Output is correct
18 Correct 3 ms 2680 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2752 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2672 KB Output is correct
24 Correct 2 ms 2676 KB Output is correct
25 Correct 3 ms 2636 KB Output is correct
26 Correct 2 ms 2764 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2636 KB Output is correct
29 Correct 2 ms 2636 KB Output is correct
30 Correct 2 ms 2672 KB Output is correct
31 Correct 2 ms 2672 KB Output is correct
32 Correct 2 ms 2724 KB Output is correct
33 Correct 2 ms 2636 KB Output is correct
34 Correct 2 ms 2668 KB Output is correct
35 Correct 2 ms 2636 KB Output is correct
36 Correct 2 ms 2636 KB Output is correct
37 Correct 2 ms 2636 KB Output is correct
38 Correct 2 ms 2636 KB Output is correct
39 Correct 2 ms 2636 KB Output is correct
40 Correct 2 ms 2672 KB Output is correct
41 Correct 2 ms 2636 KB Output is correct
42 Correct 2 ms 2672 KB Output is correct
43 Correct 2 ms 2680 KB Output is correct
44 Correct 2 ms 2636 KB Output is correct
45 Correct 3 ms 2684 KB Output is correct
46 Correct 6 ms 2944 KB Output is correct
47 Correct 6 ms 3020 KB Output is correct
48 Correct 7 ms 2936 KB Output is correct
49 Correct 4 ms 3200 KB Output is correct
50 Correct 4 ms 3148 KB Output is correct
51 Correct 4 ms 3196 KB Output is correct
52 Correct 5 ms 3020 KB Output is correct
53 Correct 6 ms 3148 KB Output is correct
54 Correct 6 ms 3124 KB Output is correct
55 Correct 4 ms 3148 KB Output is correct
56 Correct 4 ms 3020 KB Output is correct
57 Correct 7 ms 2932 KB Output is correct
58 Correct 9 ms 2988 KB Output is correct
59 Correct 9 ms 3020 KB Output is correct
60 Correct 8 ms 3008 KB Output is correct
61 Correct 5 ms 3020 KB Output is correct
62 Correct 4 ms 3068 KB Output is correct
63 Correct 4 ms 3020 KB Output is correct
64 Correct 5 ms 3020 KB Output is correct
65 Correct 7 ms 3104 KB Output is correct
66 Correct 7 ms 3032 KB Output is correct
67 Correct 6 ms 2936 KB Output is correct
68 Correct 4 ms 3148 KB Output is correct
69 Correct 4 ms 3076 KB Output is correct
70 Correct 4 ms 3020 KB Output is correct
71 Correct 4 ms 3056 KB Output is correct
72 Correct 8 ms 3020 KB Output is correct
73 Correct 9 ms 2988 KB Output is correct
74 Correct 5 ms 3060 KB Output is correct
75 Correct 5 ms 3068 KB Output is correct
76 Correct 4 ms 2940 KB Output is correct
77 Correct 4 ms 3020 KB Output is correct
78 Correct 4 ms 2940 KB Output is correct
79 Correct 4 ms 3020 KB Output is correct
80 Correct 4 ms 2940 KB Output is correct
81 Correct 4 ms 3020 KB Output is correct
82 Correct 5 ms 3020 KB Output is correct
83 Correct 5 ms 3020 KB Output is correct
84 Correct 5 ms 2936 KB Output is correct
85 Correct 4 ms 3020 KB Output is correct
86 Correct 4 ms 3020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2672 KB Output is correct
3 Correct 2 ms 2676 KB Output is correct
4 Correct 2 ms 2672 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 3 ms 2636 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 3 ms 2764 KB Output is correct
9 Correct 2 ms 2764 KB Output is correct
10 Correct 2 ms 2672 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2676 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2676 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 2 ms 2636 KB Output is correct
18 Correct 3 ms 2680 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2752 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2672 KB Output is correct
24 Correct 2 ms 2676 KB Output is correct
25 Correct 3 ms 2636 KB Output is correct
26 Correct 2 ms 2764 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2636 KB Output is correct
29 Correct 2 ms 2636 KB Output is correct
30 Correct 2 ms 2672 KB Output is correct
31 Correct 2 ms 2672 KB Output is correct
32 Correct 2 ms 2724 KB Output is correct
33 Correct 2 ms 2636 KB Output is correct
34 Correct 2 ms 2668 KB Output is correct
35 Correct 2 ms 2636 KB Output is correct
36 Correct 2 ms 2636 KB Output is correct
37 Correct 2 ms 2636 KB Output is correct
38 Correct 2 ms 2636 KB Output is correct
39 Correct 2 ms 2636 KB Output is correct
40 Correct 2 ms 2672 KB Output is correct
41 Correct 2 ms 2636 KB Output is correct
42 Correct 2 ms 2672 KB Output is correct
43 Correct 2 ms 2680 KB Output is correct
44 Correct 2 ms 2636 KB Output is correct
45 Correct 3 ms 2684 KB Output is correct
46 Correct 6 ms 2944 KB Output is correct
47 Correct 6 ms 3020 KB Output is correct
48 Correct 7 ms 2936 KB Output is correct
49 Correct 4 ms 3200 KB Output is correct
50 Correct 4 ms 3148 KB Output is correct
51 Correct 4 ms 3196 KB Output is correct
52 Correct 5 ms 3020 KB Output is correct
53 Correct 6 ms 3148 KB Output is correct
54 Correct 6 ms 3124 KB Output is correct
55 Correct 4 ms 3148 KB Output is correct
56 Correct 4 ms 3020 KB Output is correct
57 Correct 7 ms 2932 KB Output is correct
58 Correct 9 ms 2988 KB Output is correct
59 Correct 9 ms 3020 KB Output is correct
60 Correct 8 ms 3008 KB Output is correct
61 Correct 5 ms 3020 KB Output is correct
62 Correct 4 ms 3068 KB Output is correct
63 Correct 4 ms 3020 KB Output is correct
64 Correct 5 ms 3020 KB Output is correct
65 Correct 7 ms 3104 KB Output is correct
66 Correct 7 ms 3032 KB Output is correct
67 Correct 6 ms 2936 KB Output is correct
68 Correct 4 ms 3148 KB Output is correct
69 Correct 4 ms 3076 KB Output is correct
70 Correct 4 ms 3020 KB Output is correct
71 Correct 4 ms 3056 KB Output is correct
72 Correct 8 ms 3020 KB Output is correct
73 Correct 9 ms 2988 KB Output is correct
74 Correct 5 ms 3060 KB Output is correct
75 Correct 5 ms 3068 KB Output is correct
76 Correct 4 ms 2940 KB Output is correct
77 Correct 4 ms 3020 KB Output is correct
78 Correct 4 ms 2940 KB Output is correct
79 Correct 4 ms 3020 KB Output is correct
80 Correct 4 ms 2940 KB Output is correct
81 Correct 4 ms 3020 KB Output is correct
82 Correct 5 ms 3020 KB Output is correct
83 Correct 5 ms 3020 KB Output is correct
84 Correct 5 ms 2936 KB Output is correct
85 Correct 4 ms 3020 KB Output is correct
86 Correct 4 ms 3020 KB Output is correct
87 Correct 14 ms 3624 KB Output is correct
88 Correct 44 ms 5228 KB Output is correct
89 Correct 236 ms 11476 KB Output is correct
90 Correct 179 ms 11484 KB Output is correct
91 Correct 180 ms 11444 KB Output is correct
92 Correct 72 ms 16120 KB Output is correct
93 Correct 90 ms 15992 KB Output is correct
94 Correct 75 ms 15980 KB Output is correct
95 Correct 80 ms 13560 KB Output is correct
96 Correct 93 ms 14008 KB Output is correct
97 Correct 79 ms 14016 KB Output is correct
98 Correct 81 ms 13984 KB Output is correct
99 Correct 90 ms 13032 KB Output is correct
100 Correct 320 ms 11520 KB Output is correct
101 Correct 348 ms 11932 KB Output is correct
102 Correct 364 ms 11948 KB Output is correct
103 Correct 359 ms 11836 KB Output is correct
104 Correct 93 ms 12996 KB Output is correct
105 Correct 101 ms 12948 KB Output is correct
106 Correct 96 ms 12996 KB Output is correct
107 Correct 223 ms 10616 KB Output is correct
108 Correct 177 ms 10784 KB Output is correct
109 Correct 216 ms 11144 KB Output is correct
110 Correct 67 ms 15428 KB Output is correct
111 Correct 79 ms 13592 KB Output is correct
112 Correct 75 ms 13308 KB Output is correct
113 Correct 87 ms 12380 KB Output is correct
114 Correct 319 ms 11588 KB Output is correct
115 Correct 388 ms 11332 KB Output is correct
116 Correct 89 ms 12408 KB Output is correct
117 Correct 78 ms 11844 KB Output is correct
118 Correct 75 ms 11680 KB Output is correct
119 Correct 76 ms 11604 KB Output is correct
120 Correct 82 ms 11468 KB Output is correct
121 Correct 80 ms 11288 KB Output is correct
122 Correct 84 ms 11292 KB Output is correct
123 Correct 94 ms 11904 KB Output is correct
124 Correct 96 ms 11628 KB Output is correct
125 Correct 98 ms 11516 KB Output is correct
126 Correct 104 ms 11636 KB Output is correct
127 Correct 95 ms 11392 KB Output is correct
128 Correct 94 ms 11252 KB Output is correct