Submission #235738

# Submission time Handle Problem Language Result Execution time Memory
235738 2020-05-29T14:29:27 Z MvC Construction of Highway (JOI18_construction) C++14
100 / 100
773 ms 25076 KB
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define rc(x) return cout<<x<<endl,0
#define pb push_back
#define mkp make_pair
#define in insert
#define er erase
#define fd find
#define fr first
#define sc second
#define all(x) x.begin(),x.end()
typedef long long ll;
typedef long double ld;
const ll INF=0x3f3f3f3f3f3f3f3f;
const ll llinf=(1LL<<62);
const int inf=(1<<30);
const int nmax=1e5+50;
const ll mod=1e9+7;
using namespace std;
int x,y,i,n,up[nmax][20],tin[nmax],tout[nmax],tt,ex[nmax],ey[nmax],c[nmax],d,z,u,j,lvl[nmax],sz,nr,lc,fw[nmax];
ll rs;
vector<int>a[nmax];
pair<int,int>st[4*nmax],pr;
vector<int>vc;
vector<pair<int,int> >vec;
void ufw(int i,int v)
{
	for(;i>=1;i-=i&(-i))fw[i]+=v;
}
int qfw(int i)
{
	int ans=0;
	for(;i<=sz;i+=i&(-i))ans+=fw[i];
	return ans;
}
void dfs(int x,int p)
{
	lvl[x]=lvl[p]+1;
    tin[x]=++tt;
    up[x][0]=p;
    for(int i=1;i<17;i++)up[x][i]=up[up[x][i-1]][i-1];
    for(int i=0;i<(int)a[x].size();i++)dfs(a[x][i],x);
    tout[x]=tt;
}
int anc(int x,int y)
{
    return tin[x]<=tin[y] && tout[x]>=tout[y];
}
int lca(int x,int y)
{
    if(anc(x,y))return x;
    if(anc(y,x))return y;
    for(int i=16;i>=0;i--)if(!anc(up[x][i],y))x=up[x][i];
    return up[x][0];
}
void upd(int nod,int l,int r,int p,pair<int,int>v)
{
	if(l==r)
	{
		st[nod]=v;
		return;
	}
	int mid=(l+r)/2;
	if(p<=mid)upd(2*nod,l,mid,p,v);
	else upd(2*nod+1,mid+1,r,p,v);
	st[nod]=max(st[2*nod],st[2*nod+1]);
}
pair<int,int> qry(int nod,int l,int r,int tl,int tr)
{
	if(tr<l || tl>r)return mkp(0,0);
	if(tl<=l && r<=tr)return st[nod];
	int mid=(l+r)/2;
	return max(qry(2*nod,l,mid,tl,tr),qry(2*nod+1,mid+1,r,tl,tr));
}
int main()
{
	//freopen("sol.in","r",stdin);
	//freopen("sol.out","w",stdout);
	//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
	ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
	cin>>n;
	for(i=1;i<=n;i++)cin>>c[i],vc.pb(c[i]);
	sort(all(vc));
	vc.resize(unique(all(vc))-vc.begin());
	sz=(int)vc.size();
	for(i=1;i<=n;i++)c[i]=lower_bound(all(vc),c[i])-vc.begin()+1;
	for(i=1;i<n;i++)
	{
		cin>>ex[i]>>ey[i];
		a[ex[i]].pb(ey[i]);
	}
	dfs(1,1);
	for(i=1;i<n;i++)
	{
		x=ex[i],y=ey[i];
		vec.clear();
		z=1,rs=0;
		while(1)
		{
			pr=qry(1,1,n,tin[z],tout[z]);
			if(!pr.fr)break;
			u=pr.sc;
			lc=lca(y,u);
			nr=qfw(c[u]+1);
			rs+=1LL*nr*1LL*(lvl[lc]-lvl[z]+1);
			ufw(c[u],lvl[lc]-lvl[z]+1);
			vec.pb(mkp(c[u],lvl[lc]-lvl[z]+1));
			if(lc==x)break;
			d=lvl[y]-lvl[lc]-1;
			z=y;
			for(j=16;j>=0;j--)if(d&(1<<j))z=up[z][j];
		}
		upd(1,1,n,tin[y],mkp(i,y));
		for(j=0;j<(int)vec.size();j++)ufw(vec[j].fr,-vec[j].sc);
		cout<<rs<<'\n';
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2688 KB Output is correct
4 Correct 7 ms 2944 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 8 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 7 ms 2816 KB Output is correct
10 Correct 7 ms 2816 KB Output is correct
11 Correct 8 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 7 ms 2816 KB Output is correct
14 Correct 7 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 7 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 8 ms 2944 KB Output is correct
27 Correct 7 ms 2816 KB Output is correct
28 Correct 7 ms 2816 KB Output is correct
29 Correct 7 ms 2816 KB Output is correct
30 Correct 8 ms 2816 KB Output is correct
31 Correct 8 ms 2816 KB Output is correct
32 Correct 7 ms 2816 KB Output is correct
33 Correct 7 ms 2816 KB Output is correct
34 Correct 7 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 7 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 7 ms 2944 KB Output is correct
39 Correct 7 ms 2816 KB Output is correct
40 Correct 21 ms 2816 KB Output is correct
41 Correct 7 ms 2816 KB Output is correct
42 Correct 7 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 7 ms 2816 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2688 KB Output is correct
4 Correct 7 ms 2944 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 8 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 7 ms 2816 KB Output is correct
10 Correct 7 ms 2816 KB Output is correct
11 Correct 8 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 7 ms 2816 KB Output is correct
14 Correct 7 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 7 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 8 ms 2944 KB Output is correct
27 Correct 7 ms 2816 KB Output is correct
28 Correct 7 ms 2816 KB Output is correct
29 Correct 7 ms 2816 KB Output is correct
30 Correct 8 ms 2816 KB Output is correct
31 Correct 8 ms 2816 KB Output is correct
32 Correct 7 ms 2816 KB Output is correct
33 Correct 7 ms 2816 KB Output is correct
34 Correct 7 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 7 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 7 ms 2944 KB Output is correct
39 Correct 7 ms 2816 KB Output is correct
40 Correct 21 ms 2816 KB Output is correct
41 Correct 7 ms 2816 KB Output is correct
42 Correct 7 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 7 ms 2816 KB Output is correct
45 Correct 8 ms 2944 KB Output is correct
46 Correct 17 ms 3456 KB Output is correct
47 Correct 15 ms 3456 KB Output is correct
48 Correct 15 ms 3456 KB Output is correct
49 Correct 10 ms 3584 KB Output is correct
50 Correct 10 ms 3584 KB Output is correct
51 Correct 10 ms 3584 KB Output is correct
52 Correct 13 ms 3584 KB Output is correct
53 Correct 10 ms 3456 KB Output is correct
54 Correct 11 ms 3456 KB Output is correct
55 Correct 10 ms 3456 KB Output is correct
56 Correct 11 ms 3488 KB Output is correct
57 Correct 19 ms 3328 KB Output is correct
58 Correct 20 ms 3456 KB Output is correct
59 Correct 19 ms 3456 KB Output is correct
60 Correct 20 ms 3456 KB Output is correct
61 Correct 12 ms 3456 KB Output is correct
62 Correct 11 ms 3456 KB Output is correct
63 Correct 11 ms 3456 KB Output is correct
64 Correct 14 ms 3456 KB Output is correct
65 Correct 15 ms 3440 KB Output is correct
66 Correct 16 ms 3456 KB Output is correct
67 Correct 14 ms 3456 KB Output is correct
68 Correct 9 ms 3584 KB Output is correct
69 Correct 10 ms 3456 KB Output is correct
70 Correct 10 ms 3456 KB Output is correct
71 Correct 10 ms 3456 KB Output is correct
72 Correct 19 ms 3456 KB Output is correct
73 Correct 19 ms 3456 KB Output is correct
74 Correct 11 ms 3456 KB Output is correct
75 Correct 10 ms 3456 KB Output is correct
76 Correct 10 ms 3456 KB Output is correct
77 Correct 10 ms 3456 KB Output is correct
78 Correct 9 ms 3328 KB Output is correct
79 Correct 10 ms 3328 KB Output is correct
80 Correct 9 ms 3456 KB Output is correct
81 Correct 12 ms 3456 KB Output is correct
82 Correct 11 ms 3456 KB Output is correct
83 Correct 11 ms 3456 KB Output is correct
84 Correct 11 ms 3456 KB Output is correct
85 Correct 10 ms 3408 KB Output is correct
86 Correct 11 ms 3388 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct
3 Correct 6 ms 2688 KB Output is correct
4 Correct 7 ms 2944 KB Output is correct
5 Correct 7 ms 2816 KB Output is correct
6 Correct 7 ms 2816 KB Output is correct
7 Correct 8 ms 2816 KB Output is correct
8 Correct 6 ms 2816 KB Output is correct
9 Correct 7 ms 2816 KB Output is correct
10 Correct 7 ms 2816 KB Output is correct
11 Correct 8 ms 2816 KB Output is correct
12 Correct 7 ms 2816 KB Output is correct
13 Correct 7 ms 2816 KB Output is correct
14 Correct 7 ms 2816 KB Output is correct
15 Correct 7 ms 2816 KB Output is correct
16 Correct 7 ms 2816 KB Output is correct
17 Correct 7 ms 2816 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 7 ms 2816 KB Output is correct
21 Correct 6 ms 2816 KB Output is correct
22 Correct 7 ms 2816 KB Output is correct
23 Correct 7 ms 2816 KB Output is correct
24 Correct 7 ms 2816 KB Output is correct
25 Correct 7 ms 2816 KB Output is correct
26 Correct 8 ms 2944 KB Output is correct
27 Correct 7 ms 2816 KB Output is correct
28 Correct 7 ms 2816 KB Output is correct
29 Correct 7 ms 2816 KB Output is correct
30 Correct 8 ms 2816 KB Output is correct
31 Correct 8 ms 2816 KB Output is correct
32 Correct 7 ms 2816 KB Output is correct
33 Correct 7 ms 2816 KB Output is correct
34 Correct 7 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 7 ms 2816 KB Output is correct
37 Correct 7 ms 2816 KB Output is correct
38 Correct 7 ms 2944 KB Output is correct
39 Correct 7 ms 2816 KB Output is correct
40 Correct 21 ms 2816 KB Output is correct
41 Correct 7 ms 2816 KB Output is correct
42 Correct 7 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 7 ms 2816 KB Output is correct
45 Correct 8 ms 2944 KB Output is correct
46 Correct 17 ms 3456 KB Output is correct
47 Correct 15 ms 3456 KB Output is correct
48 Correct 15 ms 3456 KB Output is correct
49 Correct 10 ms 3584 KB Output is correct
50 Correct 10 ms 3584 KB Output is correct
51 Correct 10 ms 3584 KB Output is correct
52 Correct 13 ms 3584 KB Output is correct
53 Correct 10 ms 3456 KB Output is correct
54 Correct 11 ms 3456 KB Output is correct
55 Correct 10 ms 3456 KB Output is correct
56 Correct 11 ms 3488 KB Output is correct
57 Correct 19 ms 3328 KB Output is correct
58 Correct 20 ms 3456 KB Output is correct
59 Correct 19 ms 3456 KB Output is correct
60 Correct 20 ms 3456 KB Output is correct
61 Correct 12 ms 3456 KB Output is correct
62 Correct 11 ms 3456 KB Output is correct
63 Correct 11 ms 3456 KB Output is correct
64 Correct 14 ms 3456 KB Output is correct
65 Correct 15 ms 3440 KB Output is correct
66 Correct 16 ms 3456 KB Output is correct
67 Correct 14 ms 3456 KB Output is correct
68 Correct 9 ms 3584 KB Output is correct
69 Correct 10 ms 3456 KB Output is correct
70 Correct 10 ms 3456 KB Output is correct
71 Correct 10 ms 3456 KB Output is correct
72 Correct 19 ms 3456 KB Output is correct
73 Correct 19 ms 3456 KB Output is correct
74 Correct 11 ms 3456 KB Output is correct
75 Correct 10 ms 3456 KB Output is correct
76 Correct 10 ms 3456 KB Output is correct
77 Correct 10 ms 3456 KB Output is correct
78 Correct 9 ms 3328 KB Output is correct
79 Correct 10 ms 3328 KB Output is correct
80 Correct 9 ms 3456 KB Output is correct
81 Correct 12 ms 3456 KB Output is correct
82 Correct 11 ms 3456 KB Output is correct
83 Correct 11 ms 3456 KB Output is correct
84 Correct 11 ms 3456 KB Output is correct
85 Correct 10 ms 3408 KB Output is correct
86 Correct 11 ms 3388 KB Output is correct
87 Correct 29 ms 4480 KB Output is correct
88 Correct 95 ms 7680 KB Output is correct
89 Correct 420 ms 19956 KB Output is correct
90 Correct 435 ms 19792 KB Output is correct
91 Correct 423 ms 19996 KB Output is correct
92 Correct 135 ms 25076 KB Output is correct
93 Correct 135 ms 25040 KB Output is correct
94 Correct 141 ms 25076 KB Output is correct
95 Correct 160 ms 21872 KB Output is correct
96 Correct 165 ms 22260 KB Output is correct
97 Correct 174 ms 22260 KB Output is correct
98 Correct 175 ms 22256 KB Output is correct
99 Correct 161 ms 21744 KB Output is correct
100 Correct 726 ms 20084 KB Output is correct
101 Correct 743 ms 20464 KB Output is correct
102 Correct 773 ms 20296 KB Output is correct
103 Correct 771 ms 20360 KB Output is correct
104 Correct 222 ms 21832 KB Output is correct
105 Correct 223 ms 21748 KB Output is correct
106 Correct 228 ms 21748 KB Output is correct
107 Correct 335 ms 18548 KB Output is correct
108 Correct 373 ms 18744 KB Output is correct
109 Correct 406 ms 19188 KB Output is correct
110 Correct 115 ms 24180 KB Output is correct
111 Correct 163 ms 22048 KB Output is correct
112 Correct 146 ms 21360 KB Output is correct
113 Correct 139 ms 20724 KB Output is correct
114 Correct 744 ms 19828 KB Output is correct
115 Correct 721 ms 19172 KB Output is correct
116 Correct 212 ms 20852 KB Output is correct
117 Correct 162 ms 20340 KB Output is correct
118 Correct 154 ms 20084 KB Output is correct
119 Correct 155 ms 19928 KB Output is correct
120 Correct 146 ms 19572 KB Output is correct
121 Correct 131 ms 19316 KB Output is correct
122 Correct 131 ms 19188 KB Output is correct
123 Correct 240 ms 20340 KB Output is correct
124 Correct 236 ms 20080 KB Output is correct
125 Correct 237 ms 19960 KB Output is correct
126 Correct 225 ms 19916 KB Output is correct
127 Correct 230 ms 19444 KB Output is correct
128 Correct 229 ms 19316 KB Output is correct