oj.uz

Submission #1037164

# Submission time Handle Problem Language Result Execution time Memory
1037164 2024-07-28T09:36:54 Z 1L1YA Construction of Highway (JOI18_construction) C++17
100 / 100
 371 ms 28952 KB 
//1L1YA

#include<bits/stdc++.h>
using namespace std;

//#pragma GCC optimize ("O3,unrool-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

typedef long long       ll;
typedef pair<ll,ll>     pll;
typedef pair<int,int>   pii;

#define Pb              push_back
#define F               first
#define S               second
#define endl            '\n'
#define sep             ' '
#define all(x)          x.begin(),x.end()
#define al(x,n)         x+1,x+n+1
#define SZ(x)           ((int)x.size())
#define lc              (id<<1)
#define rc              (lc|1)
#define mid             (l+r>>1)
#define dokme(x)        cout << x << endl, exit(0)
#define sik(x)          cout << x << endl;continue;
#define FastIO          ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define FileIO          freopen("input.txt","r",stdin);freopen("output.txt","w",stdout);

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const ll oo=1e18;
const int mod=1e9+7;
const int inf=1e9+111;
const int N=1e5+11;
const int lg=19;

int n,t=1,a[N],h[N],sz[N],st[N],up[N],fen[N],head[N],seg[N<<2],par[lg][N];
vector<int> G[N];
vector<pii> E(N);

void shift(int id){
	if(!seg[id])	return;
	seg[lc]=seg[id];seg[rc]=seg[id];
	seg[id]=0;
}

void update(int ql,int qr,int val,int id=1,int l=1,int r=n+1){
	if(qr<=l || ql>=r)	return;
	if(ql<=l && r<=qr){
		seg[id]=val;
		return;
	}
	shift(id);
	update(ql,qr,val,lc,l,mid);
	update(ql,qr,val,rc,mid,r);
}

int get(int pos,int id=1,int l=1,int r=n+1){
	if(r-l==1)	return seg[id];
	shift(id);
	if(pos<mid)	return get(pos,lc,l,mid);
	return get(pos,rc,mid,r);
}

bool cmp(int x,int y){
	return sz[x]>sz[y];
}

void dfsset(int v){
	sz[v]=1;
	for(int u: G[v]){
		h[u]=h[v]+1;
		dfsset(u);
		sz[v]+=sz[u];
	}
	sort(all(G[v]),cmp);
}

void dfs_hld(int v){
	st[v]=t++;
	if(SZ(G[v]))	head[G[v][0]]=head[v];
	for(int u: G[v])	dfs_hld(u);
}

void update_path(int v,int x){
	while(head[v]!=1){
		update(st[head[v]],st[v]+1,x);
		v=par[0][head[v]];
	}
	update(1,st[v]+1,x);
}

int jump(int v,int k){
	if(k<0)	return v;
	for(int i=0;i<lg;i++)
		if(k>>i & 1)
			v=par[i][v];
	return v;
}

void upd(int x,int y){
	for(x=n-x;x<=n;x+=x&-x)	fen[x]+=y;
}

int gett(int x){
	int ans=0;
	for(x=n-x;x;x-=x&-x)	ans+=fen[x];
	return ans;
}

int main(){
	FastIO

	cin >> n;
	vector<int> comp;
	for(int i=1;i<=n;i++)	cin >> a[i],comp.Pb(a[i]);
	sort(all(comp));
	comp.resize(unique(all(comp))-comp.begin());
	for(int i=1;i<=n;i++)	a[i]=lower_bound(all(comp),a[i])-comp.begin();
	for(int i=1;i<n;i++){
		int u,v;
		cin >> u >> v;
		par[0][v]=u;
		G[u].Pb(v);
		E[i]={u,v};
	}
	for(int i=1;i<lg;i++)
		for(int v=1;v<=n;v++)
			par[i][v]=par[i-1][par[i-1][v]];
	dfsset(1);
	for(int i=1;i<=n;i++)	head[i]=i;
	dfs_hld(1);
	update_path(1,1);
	up[1]=1;
	for(int i=1;i<n;i++){
		int u=E[i].F,v=E[i].S;
		vector<pii> vc;
		while(u){
			int w=get(st[u]);
			vc.Pb({w,h[u]-h[up[w]]+1});
			int p=jump(w,h[w]-h[u]-1);
			u=par[0][up[w]];
			up[w]=p;
		}
		reverse(all(vc));
		ll ans=0;
		for(auto [x,y]: vc)	ans+=(ll)y*gett(a[x]+1),upd(a[x],y);
		cout << ans << endl;
		for(auto [x,y]: vc)	upd(a[x],-y);
		up[v]=1;
		update_path(v,v);
	}

	return 0;
}

Compilation message

construction.cpp: In function 'void update(int, int, int, int, int, int)':
construction.cpp:23:27: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   23 | #define mid             (l+r>>1)
      |                          ~^~
construction.cpp:54:24: note: in expansion of macro 'mid'
   54 |  update(ql,qr,val,lc,l,mid);
      |                        ^~~
construction.cpp:23:27: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   23 | #define mid             (l+r>>1)
      |                          ~^~
construction.cpp:55:22: note: in expansion of macro 'mid'
   55 |  update(ql,qr,val,rc,mid,r);
      |                      ^~~
construction.cpp: In function 'int get(int, int, int, int)':
construction.cpp:23:27: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   23 | #define mid             (l+r>>1)
      |                          ~^~
construction.cpp:61:9: note: in expansion of macro 'mid'
   61 |  if(pos<mid) return get(pos,lc,l,mid);
      |         ^~~
construction.cpp:23:27: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   23 | #define mid             (l+r>>1)
      |                          ~^~
construction.cpp:61:34: note: in expansion of macro 'mid'
   61 |  if(pos<mid) return get(pos,lc,l,mid);
      |                                  ^~~
construction.cpp:23:27: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   23 | #define mid             (l+r>>1)
      |                          ~^~
construction.cpp:62:20: note: in expansion of macro 'mid'
   62 |  return get(pos,rc,mid,r);
      |                    ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13656 KB Output is correct
2 Correct 2 ms 13660 KB Output is correct
3 Correct 2 ms 13660 KB Output is correct
4 Correct 2 ms 13660 KB Output is correct
5 Correct 3 ms 13660 KB Output is correct
6 Correct 2 ms 13660 KB Output is correct
7 Correct 2 ms 13664 KB Output is correct
8 Correct 2 ms 13660 KB Output is correct
9 Correct 2 ms 13660 KB Output is correct
10 Correct 2 ms 13660 KB Output is correct
11 Correct 2 ms 13916 KB Output is correct
12 Correct 2 ms 13660 KB Output is correct
13 Correct 2 ms 13800 KB Output is correct
14 Correct 2 ms 13660 KB Output is correct
15 Correct 2 ms 13660 KB Output is correct
16 Correct 2 ms 13660 KB Output is correct
17 Correct 2 ms 13656 KB Output is correct
18 Correct 2 ms 13660 KB Output is correct
19 Correct 2 ms 13660 KB Output is correct
20 Correct 2 ms 13660 KB Output is correct
21 Correct 2 ms 13660 KB Output is correct
22 Correct 2 ms 13724 KB Output is correct
23 Correct 2 ms 13660 KB Output is correct
24 Correct 2 ms 13768 KB Output is correct
25 Correct 2 ms 13656 KB Output is correct
26 Correct 2 ms 13660 KB Output is correct
27 Correct 2 ms 13660 KB Output is correct
28 Correct 2 ms 13740 KB Output is correct
29 Correct 2 ms 13660 KB Output is correct
30 Correct 2 ms 13656 KB Output is correct
31 Correct 2 ms 13660 KB Output is correct
32 Correct 2 ms 13660 KB Output is correct
33 Correct 2 ms 13660 KB Output is correct
34 Correct 2 ms 13656 KB Output is correct
35 Correct 2 ms 13660 KB Output is correct
36 Correct 2 ms 13656 KB Output is correct
37 Correct 2 ms 13660 KB Output is correct
38 Correct 2 ms 13656 KB Output is correct
39 Correct 2 ms 13660 KB Output is correct
40 Correct 2 ms 13660 KB Output is correct
41 Correct 2 ms 13732 KB Output is correct
42 Correct 2 ms 13656 KB Output is correct
43 Correct 2 ms 13660 KB Output is correct
44 Correct 2 ms 13660 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13656 KB Output is correct
2 Correct 2 ms 13660 KB Output is correct
3 Correct 2 ms 13660 KB Output is correct
4 Correct 2 ms 13660 KB Output is correct
5 Correct 3 ms 13660 KB Output is correct
6 Correct 2 ms 13660 KB Output is correct
7 Correct 2 ms 13664 KB Output is correct
8 Correct 2 ms 13660 KB Output is correct
9 Correct 2 ms 13660 KB Output is correct
10 Correct 2 ms 13660 KB Output is correct
11 Correct 2 ms 13916 KB Output is correct
12 Correct 2 ms 13660 KB Output is correct
13 Correct 2 ms 13800 KB Output is correct
14 Correct 2 ms 13660 KB Output is correct
15 Correct 2 ms 13660 KB Output is correct
16 Correct 2 ms 13660 KB Output is correct
17 Correct 2 ms 13656 KB Output is correct
18 Correct 2 ms 13660 KB Output is correct
19 Correct 2 ms 13660 KB Output is correct
20 Correct 2 ms 13660 KB Output is correct
21 Correct 2 ms 13660 KB Output is correct
22 Correct 2 ms 13724 KB Output is correct
23 Correct 2 ms 13660 KB Output is correct
24 Correct 2 ms 13768 KB Output is correct
25 Correct 2 ms 13656 KB Output is correct
26 Correct 2 ms 13660 KB Output is correct
27 Correct 2 ms 13660 KB Output is correct
28 Correct 2 ms 13740 KB Output is correct
29 Correct 2 ms 13660 KB Output is correct
30 Correct 2 ms 13656 KB Output is correct
31 Correct 2 ms 13660 KB Output is correct
32 Correct 2 ms 13660 KB Output is correct
33 Correct 2 ms 13660 KB Output is correct
34 Correct 2 ms 13656 KB Output is correct
35 Correct 2 ms 13660 KB Output is correct
36 Correct 2 ms 13656 KB Output is correct
37 Correct 2 ms 13660 KB Output is correct
38 Correct 2 ms 13656 KB Output is correct
39 Correct 2 ms 13660 KB Output is correct
40 Correct 2 ms 13660 KB Output is correct
41 Correct 2 ms 13732 KB Output is correct
42 Correct 2 ms 13656 KB Output is correct
43 Correct 2 ms 13660 KB Output is correct
44 Correct 2 ms 13660 KB Output is correct
45 Correct 4 ms 13660 KB Output is correct
46 Correct 7 ms 13916 KB Output is correct
47 Correct 7 ms 13916 KB Output is correct
48 Correct 7 ms 13916 KB Output is correct
49 Correct 4 ms 14172 KB Output is correct
50 Correct 4 ms 14344 KB Output is correct
51 Correct 4 ms 14308 KB Output is correct
52 Correct 4 ms 13916 KB Output is correct
53 Correct 4 ms 13916 KB Output is correct
54 Correct 5 ms 13916 KB Output is correct
55 Correct 5 ms 13916 KB Output is correct
56 Correct 4 ms 13916 KB Output is correct
57 Correct 9 ms 13916 KB Output is correct
58 Correct 9 ms 13916 KB Output is correct
59 Correct 9 ms 13916 KB Output is correct
60 Correct 10 ms 13916 KB Output is correct
61 Correct 5 ms 13916 KB Output is correct
62 Correct 5 ms 13916 KB Output is correct
63 Correct 6 ms 13912 KB Output is correct
64 Correct 6 ms 13916 KB Output is correct
65 Correct 6 ms 13916 KB Output is correct
66 Correct 7 ms 13916 KB Output is correct
67 Correct 7 ms 13916 KB Output is correct
68 Correct 4 ms 14172 KB Output is correct
69 Correct 4 ms 14100 KB Output is correct
70 Correct 4 ms 13916 KB Output is correct
71 Correct 4 ms 13916 KB Output is correct
72 Correct 8 ms 13916 KB Output is correct
73 Correct 8 ms 13832 KB Output is correct
74 Correct 5 ms 14168 KB Output is correct
75 Correct 5 ms 13916 KB Output is correct
76 Correct 5 ms 13916 KB Output is correct
77 Correct 4 ms 13916 KB Output is correct
78 Correct 4 ms 13832 KB Output is correct
79 Correct 4 ms 13912 KB Output is correct
80 Correct 6 ms 13912 KB Output is correct
81 Correct 5 ms 13912 KB Output is correct
82 Correct 6 ms 13916 KB Output is correct
83 Correct 6 ms 14116 KB Output is correct
84 Correct 5 ms 13916 KB Output is correct
85 Correct 5 ms 13916 KB Output is correct
86 Correct 5 ms 13916 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13656 KB Output is correct
2 Correct 2 ms 13660 KB Output is correct
3 Correct 2 ms 13660 KB Output is correct
4 Correct 2 ms 13660 KB Output is correct
5 Correct 3 ms 13660 KB Output is correct
6 Correct 2 ms 13660 KB Output is correct
7 Correct 2 ms 13664 KB Output is correct
8 Correct 2 ms 13660 KB Output is correct
9 Correct 2 ms 13660 KB Output is correct
10 Correct 2 ms 13660 KB Output is correct
11 Correct 2 ms 13916 KB Output is correct
12 Correct 2 ms 13660 KB Output is correct
13 Correct 2 ms 13800 KB Output is correct
14 Correct 2 ms 13660 KB Output is correct
15 Correct 2 ms 13660 KB Output is correct
16 Correct 2 ms 13660 KB Output is correct
17 Correct 2 ms 13656 KB Output is correct
18 Correct 2 ms 13660 KB Output is correct
19 Correct 2 ms 13660 KB Output is correct
20 Correct 2 ms 13660 KB Output is correct
21 Correct 2 ms 13660 KB Output is correct
22 Correct 2 ms 13724 KB Output is correct
23 Correct 2 ms 13660 KB Output is correct
24 Correct 2 ms 13768 KB Output is correct
25 Correct 2 ms 13656 KB Output is correct
26 Correct 2 ms 13660 KB Output is correct
27 Correct 2 ms 13660 KB Output is correct
28 Correct 2 ms 13740 KB Output is correct
29 Correct 2 ms 13660 KB Output is correct
30 Correct 2 ms 13656 KB Output is correct
31 Correct 2 ms 13660 KB Output is correct
32 Correct 2 ms 13660 KB Output is correct
33 Correct 2 ms 13660 KB Output is correct
34 Correct 2 ms 13656 KB Output is correct
35 Correct 2 ms 13660 KB Output is correct
36 Correct 2 ms 13656 KB Output is correct
37 Correct 2 ms 13660 KB Output is correct
38 Correct 2 ms 13656 KB Output is correct
39 Correct 2 ms 13660 KB Output is correct
40 Correct 2 ms 13660 KB Output is correct
41 Correct 2 ms 13732 KB Output is correct
42 Correct 2 ms 13656 KB Output is correct
43 Correct 2 ms 13660 KB Output is correct
44 Correct 2 ms 13660 KB Output is correct
45 Correct 4 ms 13660 KB Output is correct
46 Correct 7 ms 13916 KB Output is correct
47 Correct 7 ms 13916 KB Output is correct
48 Correct 7 ms 13916 KB Output is correct
49 Correct 4 ms 14172 KB Output is correct
50 Correct 4 ms 14344 KB Output is correct
51 Correct 4 ms 14308 KB Output is correct
52 Correct 4 ms 13916 KB Output is correct
53 Correct 4 ms 13916 KB Output is correct
54 Correct 5 ms 13916 KB Output is correct
55 Correct 5 ms 13916 KB Output is correct
56 Correct 4 ms 13916 KB Output is correct
57 Correct 9 ms 13916 KB Output is correct
58 Correct 9 ms 13916 KB Output is correct
59 Correct 9 ms 13916 KB Output is correct
60 Correct 10 ms 13916 KB Output is correct
61 Correct 5 ms 13916 KB Output is correct
62 Correct 5 ms 13916 KB Output is correct
63 Correct 6 ms 13912 KB Output is correct
64 Correct 6 ms 13916 KB Output is correct
65 Correct 6 ms 13916 KB Output is correct
66 Correct 7 ms 13916 KB Output is correct
67 Correct 7 ms 13916 KB Output is correct
68 Correct 4 ms 14172 KB Output is correct
69 Correct 4 ms 14100 KB Output is correct
70 Correct 4 ms 13916 KB Output is correct
71 Correct 4 ms 13916 KB Output is correct
72 Correct 8 ms 13916 KB Output is correct
73 Correct 8 ms 13832 KB Output is correct
74 Correct 5 ms 14168 KB Output is correct
75 Correct 5 ms 13916 KB Output is correct
76 Correct 5 ms 13916 KB Output is correct
77 Correct 4 ms 13916 KB Output is correct
78 Correct 4 ms 13832 KB Output is correct
79 Correct 4 ms 13912 KB Output is correct
80 Correct 6 ms 13912 KB Output is correct
81 Correct 5 ms 13912 KB Output is correct
82 Correct 6 ms 13916 KB Output is correct
83 Correct 6 ms 14116 KB Output is correct
84 Correct 5 ms 13916 KB Output is correct
85 Correct 5 ms 13916 KB Output is correct
86 Correct 5 ms 13916 KB Output is correct
87 Correct 17 ms 14168 KB Output is correct
88 Correct 60 ms 15484 KB Output is correct
89 Correct 225 ms 19620 KB Output is correct
90 Correct 233 ms 19668 KB Output is correct
91 Correct 227 ms 19668 KB Output is correct
92 Correct 75 ms 28844 KB Output is correct
93 Correct 104 ms 28952 KB Output is correct
94 Correct 76 ms 28880 KB Output is correct
95 Correct 82 ms 23736 KB Output is correct
96 Correct 87 ms 24276 KB Output is correct
97 Correct 84 ms 24224 KB Output is correct
98 Correct 86 ms 24276 KB Output is correct
99 Correct 84 ms 23504 KB Output is correct
100 Correct 340 ms 19792 KB Output is correct
101 Correct 371 ms 20176 KB Output is correct
102 Correct 363 ms 20176 KB Output is correct
103 Correct 355 ms 20180 KB Output is correct
104 Correct 102 ms 23508 KB Output is correct
105 Correct 118 ms 23728 KB Output is correct
106 Correct 99 ms 23508 KB Output is correct
107 Correct 182 ms 18900 KB Output is correct
108 Correct 194 ms 18896 KB Output is correct
109 Correct 220 ms 19152 KB Output is correct
110 Correct 65 ms 28368 KB Output is correct
111 Correct 79 ms 23792 KB Output is correct
112 Correct 75 ms 23504 KB Output is correct
113 Correct 72 ms 22996 KB Output is correct
114 Correct 347 ms 19836 KB Output is correct
115 Correct 343 ms 19412 KB Output is correct
116 Correct 88 ms 22992 KB Output is correct
117 Correct 92 ms 21208 KB Output is correct
118 Correct 98 ms 20640 KB Output is correct
119 Correct 91 ms 20180 KB Output is correct
120 Correct 79 ms 20944 KB Output is correct
121 Correct 98 ms 20180 KB Output is correct
122 Correct 83 ms 19924 KB Output is correct
123 Correct 116 ms 21244 KB Output is correct
124 Correct 111 ms 20744 KB Output is correct
125 Correct 115 ms 20388 KB Output is correct
126 Correct 99 ms 20948 KB Output is correct
127 Correct 109 ms 20432 KB Output is correct
128 Correct 99 ms 19964 KB Output is correct