oj.uz

Submission #204295

# Submission time Handle Problem Language Result Execution time Memory
204295 2020-02-25T10:12:26 Z theStaticMind Construction of Highway (JOI18_construction) C++14
100 / 100
 635 ms 27112 KB 
#include<bits/stdc++.h>
#define pb push_back
#define ii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define INF 100000000000000000
#define modulo 1000000007
#define mod 998244353
//#define int long long int
using namespace std;


struct Fenwick{
      vector<long long int> bit;
      int size;
      void modify(int j, long long int v){
            j++;
            for(; j < size; j += j & -j)bit[j] += v;
      }
      long long int query(int j){
            j++;
            long long int v = 0;
            for(; j > 0; j -= j & -j)v += bit[j];
            return v;
      }
      long long int rangequery(long long int a, long long int b){
            return query(b) - query(a - 1);
      }
      void rangeupdate(long long int a, long long int b, long long int v){
            modify(a, v);
            modify(b + 1, -v);
      }
      Fenwick(int s){
            s += 5;
            size = s;
            bit = vector<long long int>(s, 0);
      }
} bit(1e5 + 10);

const int N = 1e5 + 5;

vector<int> adj[N];
vector<int> sub(N, 1);
vector<ii> Q(N);
vector<int> val(N);
vector<int> segind(N, 0);
vector<int> segid(N, 0);
vector<ii> seg[N];
vector<int> who[N];
vector<int> anc(N, 0);
vector<ii> ptr(N, {N, 0});
vector<int> S(N, 0);
vector<ii> W(N);
int C = 0;
int ind = 0;

void push(vector<ii>& seg, int j){
	if(j * 2 < sz(seg) && seg[j].first != N){
		seg[j * 2] = seg[j];
		seg[j * 2 + 1] = seg[j];
		seg[j] = {N, 0};
	}
}


void update(int x){
	int id = segid[x];
	int ind = segind[x];
	ii& p = seg[id][sz(seg[id]) - S[id] + ind];
	if(p.first != N) ptr[x] = p;
	p = {N, 0};
}
void updown(vector<ii>& seg, int j, int a, int x, int y){
	if(x == a && y == a) return;
	push(seg, j);
	int mid = (x + y) / 2;
	if(a <= mid) updown(seg, j * 2, a, x, mid);
	else updown(seg, j * 2 + 1, a, mid + 1, y);
}

void update(vector<ii>& seg, int j, int a, int b, int x, int y, ii v){
	if(y < a || b < x) return;
	push(seg, j);
	if(a <= x && y <= b){
		seg[j] = v;
	}
	else{
		update(seg, j * 2, a, b, x, (x + y) / 2, v);
		update(seg, j * 2 + 1, a, b, (x + y) / 2 + 1, y, v);
	}
}
void update(int x, int v){
	int id = segid[x];
	int ind = segind[x];
	update(seg[id], 1, 0, ind, 0, S[id] - 1, {v, ind});

	if(id == 0) return;
	update(anc[who[id][0]], v);
}
void query(int x){
	int id = segid[x];
	int ind = segind[x];
	if(id != 0) query(anc[who[id][0]]);
	int currind = 0, curr = who[id][0];
	while(currind <= ind){
		updown(seg[id], 1, currind, 0, S[id] - 1);
		update(curr);
		int nextind = min(ind, ptr[curr].second);
		W[C++] = {ptr[curr].first, nextind - currind + 1};
		currind = nextind + 1;
		curr = who[id][currind];
	}
}

void build(vector<ii>& seg, int id){
	seg = vector<ii> (S[id], {N, 0});
	S[id] = (1 << (int)ceil(log2(seg.size())));
	int l = S[id] - sz(seg);

	for(int i = 0; i < l; i++)seg.pb({N, 0});
	reverse(all(seg));
	for(int i = 1; i < sz(seg); i += 2) seg.pb({N, 0});
	seg.pb({'o','O'});
	reverse(all(seg));
}


void dfs(int x, int pre){
	for(auto y : adj[x]){
		if(y == pre) continue;
		anc[y] = x;
		dfs(y, x);
		sub[x] += sub[y];
	}
}

void dfs_hld(int x, int pre){
	int sp = -1;
	int mx = -1;
	for(auto y : adj[x]){
		if(y == pre)continue;
		if(mx < sub[y]){
			mx = sub[y];
			sp = y;
		}
	}
	if(sp == -1)return;

	segind[sp] = segind[x] + 1;
	segid[sp] = ind;
	S[ind]++;
	who[ind].pb(sp);
	dfs_hld(sp, x);
	for(auto y : adj[x]){
		if(y == pre || y == sp)continue;
		segind[y] = 0;
		segid[y] = ++ind;
		S[ind]++;
		who[ind].pb(y);
		dfs_hld(y, x);
	}
}

int compress(vector<int>& arr){
	map<int,int> data;
	for(int i = 0; i < sz(arr); i++) data[arr[i]] = 0;
	int ind = sz(data);
	for(auto& x : data)x.second = ind--;
	for(int i = 0; i < sz(arr); i++) arr[i] = data[arr[i]];
	return sz(data);
}

int ans(vector<ii>& arr){
	long long int ret = 0;
	for(int i = 0; i < C; i++){
		ii x = arr[i];
		ret += bit.query(x.first - 1) * (long long int)x.second;
		bit.modify(x.first, x.second);
	}
	for(int i = 0; i < C; i++){
		ii x = arr[i];
		bit.modify(x.first, -x.second);
	}
	return ret;
}

int32_t main(){
      ios_base::sync_with_stdio(false);
      cin.tie(NULL);
      int n;
      cin >> n;
      for(int i = 1; i <= n; i++) cin >> val[i];
      compress(val);
      for(int i = 0; i < n - 1; i++){
      	int x, y;
      	cin >> x >> y;
      	adj[x].pb(y);
      	adj[y].pb(x);
      	Q[i] = {x, y};
      }
      dfs(1, 0);
      who[0].pb(1);
      dfs_hld(1, 0);

      for(int i = 0; i <= n && S[i] > 0; i++) build(seg[i], i);
      update(1, val[1]);
      for(int i = 0; i < n - 1; i++){
      	query(Q[i].first);
      	cout << ans(W) << "\n";
      	C = 0;
      	update(Q[i].second, val[Q[i].second]);
      }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 13 ms 12920 KB Output is correct
3 Correct 15 ms 12920 KB Output is correct
4 Correct 17 ms 13096 KB Output is correct
5 Correct 16 ms 12920 KB Output is correct
6 Correct 17 ms 12920 KB Output is correct
7 Correct 16 ms 12920 KB Output is correct
8 Correct 16 ms 12920 KB Output is correct
9 Correct 17 ms 12920 KB Output is correct
10 Correct 16 ms 12920 KB Output is correct
11 Correct 15 ms 12920 KB Output is correct
12 Correct 16 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 15 ms 12920 KB Output is correct
15 Correct 16 ms 12920 KB Output is correct
16 Correct 17 ms 12920 KB Output is correct
17 Correct 16 ms 12920 KB Output is correct
18 Correct 16 ms 12920 KB Output is correct
19 Correct 15 ms 12920 KB Output is correct
20 Correct 16 ms 12920 KB Output is correct
21 Correct 17 ms 12792 KB Output is correct
22 Correct 15 ms 12920 KB Output is correct
23 Correct 15 ms 12920 KB Output is correct
24 Correct 16 ms 13052 KB Output is correct
25 Correct 16 ms 12920 KB Output is correct
26 Correct 15 ms 12920 KB Output is correct
27 Correct 16 ms 12920 KB Output is correct
28 Correct 14 ms 12920 KB Output is correct
29 Correct 14 ms 12920 KB Output is correct
30 Correct 16 ms 12920 KB Output is correct
31 Correct 15 ms 12924 KB Output is correct
32 Correct 16 ms 12920 KB Output is correct
33 Correct 17 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 16 ms 12924 KB Output is correct
36 Correct 15 ms 12920 KB Output is correct
37 Correct 16 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 16 ms 12920 KB Output is correct
40 Correct 16 ms 12896 KB Output is correct
41 Correct 16 ms 12920 KB Output is correct
42 Correct 16 ms 12920 KB Output is correct
43 Correct 14 ms 12920 KB Output is correct
44 Correct 14 ms 12920 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 13 ms 12920 KB Output is correct
3 Correct 15 ms 12920 KB Output is correct
4 Correct 17 ms 13096 KB Output is correct
5 Correct 16 ms 12920 KB Output is correct
6 Correct 17 ms 12920 KB Output is correct
7 Correct 16 ms 12920 KB Output is correct
8 Correct 16 ms 12920 KB Output is correct
9 Correct 17 ms 12920 KB Output is correct
10 Correct 16 ms 12920 KB Output is correct
11 Correct 15 ms 12920 KB Output is correct
12 Correct 16 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 15 ms 12920 KB Output is correct
15 Correct 16 ms 12920 KB Output is correct
16 Correct 17 ms 12920 KB Output is correct
17 Correct 16 ms 12920 KB Output is correct
18 Correct 16 ms 12920 KB Output is correct
19 Correct 15 ms 12920 KB Output is correct
20 Correct 16 ms 12920 KB Output is correct
21 Correct 17 ms 12792 KB Output is correct
22 Correct 15 ms 12920 KB Output is correct
23 Correct 15 ms 12920 KB Output is correct
24 Correct 16 ms 13052 KB Output is correct
25 Correct 16 ms 12920 KB Output is correct
26 Correct 15 ms 12920 KB Output is correct
27 Correct 16 ms 12920 KB Output is correct
28 Correct 14 ms 12920 KB Output is correct
29 Correct 14 ms 12920 KB Output is correct
30 Correct 16 ms 12920 KB Output is correct
31 Correct 15 ms 12924 KB Output is correct
32 Correct 16 ms 12920 KB Output is correct
33 Correct 17 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 16 ms 12924 KB Output is correct
36 Correct 15 ms 12920 KB Output is correct
37 Correct 16 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 16 ms 12920 KB Output is correct
40 Correct 16 ms 12896 KB Output is correct
41 Correct 16 ms 12920 KB Output is correct
42 Correct 16 ms 12920 KB Output is correct
43 Correct 14 ms 12920 KB Output is correct
44 Correct 14 ms 12920 KB Output is correct
45 Correct 18 ms 12920 KB Output is correct
46 Correct 25 ms 13304 KB Output is correct
47 Correct 23 ms 13176 KB Output is correct
48 Correct 24 ms 13176 KB Output is correct
49 Correct 21 ms 13432 KB Output is correct
50 Correct 21 ms 13432 KB Output is correct
51 Correct 20 ms 13432 KB Output is correct
52 Correct 23 ms 13304 KB Output is correct
53 Correct 22 ms 13304 KB Output is correct
54 Correct 22 ms 13304 KB Output is correct
55 Correct 21 ms 13304 KB Output is correct
56 Correct 22 ms 13308 KB Output is correct
57 Correct 25 ms 13176 KB Output is correct
58 Correct 26 ms 13176 KB Output is correct
59 Correct 31 ms 13304 KB Output is correct
60 Correct 25 ms 13176 KB Output is correct
61 Correct 23 ms 13304 KB Output is correct
62 Correct 23 ms 13304 KB Output is correct
63 Correct 23 ms 13304 KB Output is correct
64 Correct 20 ms 13176 KB Output is correct
65 Correct 20 ms 13176 KB Output is correct
66 Correct 22 ms 13176 KB Output is correct
67 Correct 23 ms 13176 KB Output is correct
68 Correct 17 ms 13432 KB Output is correct
69 Correct 23 ms 13308 KB Output is correct
70 Correct 19 ms 13304 KB Output is correct
71 Correct 19 ms 13304 KB Output is correct
72 Correct 25 ms 13176 KB Output is correct
73 Correct 23 ms 13176 KB Output is correct
74 Correct 20 ms 13304 KB Output is correct
75 Correct 24 ms 13304 KB Output is correct
76 Correct 23 ms 13304 KB Output is correct
77 Correct 23 ms 13176 KB Output is correct
78 Correct 19 ms 13308 KB Output is correct
79 Correct 19 ms 13304 KB Output is correct
80 Correct 19 ms 13176 KB Output is correct
81 Correct 21 ms 13304 KB Output is correct
82 Correct 23 ms 13304 KB Output is correct
83 Correct 23 ms 13176 KB Output is correct
84 Correct 19 ms 13304 KB Output is correct
85 Correct 21 ms 13304 KB Output is correct
86 Correct 19 ms 13304 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 13 ms 12920 KB Output is correct
3 Correct 15 ms 12920 KB Output is correct
4 Correct 17 ms 13096 KB Output is correct
5 Correct 16 ms 12920 KB Output is correct
6 Correct 17 ms 12920 KB Output is correct
7 Correct 16 ms 12920 KB Output is correct
8 Correct 16 ms 12920 KB Output is correct
9 Correct 17 ms 12920 KB Output is correct
10 Correct 16 ms 12920 KB Output is correct
11 Correct 15 ms 12920 KB Output is correct
12 Correct 16 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 15 ms 12920 KB Output is correct
15 Correct 16 ms 12920 KB Output is correct
16 Correct 17 ms 12920 KB Output is correct
17 Correct 16 ms 12920 KB Output is correct
18 Correct 16 ms 12920 KB Output is correct
19 Correct 15 ms 12920 KB Output is correct
20 Correct 16 ms 12920 KB Output is correct
21 Correct 17 ms 12792 KB Output is correct
22 Correct 15 ms 12920 KB Output is correct
23 Correct 15 ms 12920 KB Output is correct
24 Correct 16 ms 13052 KB Output is correct
25 Correct 16 ms 12920 KB Output is correct
26 Correct 15 ms 12920 KB Output is correct
27 Correct 16 ms 12920 KB Output is correct
28 Correct 14 ms 12920 KB Output is correct
29 Correct 14 ms 12920 KB Output is correct
30 Correct 16 ms 12920 KB Output is correct
31 Correct 15 ms 12924 KB Output is correct
32 Correct 16 ms 12920 KB Output is correct
33 Correct 17 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 16 ms 12924 KB Output is correct
36 Correct 15 ms 12920 KB Output is correct
37 Correct 16 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 16 ms 12920 KB Output is correct
40 Correct 16 ms 12896 KB Output is correct
41 Correct 16 ms 12920 KB Output is correct
42 Correct 16 ms 12920 KB Output is correct
43 Correct 14 ms 12920 KB Output is correct
44 Correct 14 ms 12920 KB Output is correct
45 Correct 18 ms 12920 KB Output is correct
46 Correct 25 ms 13304 KB Output is correct
47 Correct 23 ms 13176 KB Output is correct
48 Correct 24 ms 13176 KB Output is correct
49 Correct 21 ms 13432 KB Output is correct
50 Correct 21 ms 13432 KB Output is correct
51 Correct 20 ms 13432 KB Output is correct
52 Correct 23 ms 13304 KB Output is correct
53 Correct 22 ms 13304 KB Output is correct
54 Correct 22 ms 13304 KB Output is correct
55 Correct 21 ms 13304 KB Output is correct
56 Correct 22 ms 13308 KB Output is correct
57 Correct 25 ms 13176 KB Output is correct
58 Correct 26 ms 13176 KB Output is correct
59 Correct 31 ms 13304 KB Output is correct
60 Correct 25 ms 13176 KB Output is correct
61 Correct 23 ms 13304 KB Output is correct
62 Correct 23 ms 13304 KB Output is correct
63 Correct 23 ms 13304 KB Output is correct
64 Correct 20 ms 13176 KB Output is correct
65 Correct 20 ms 13176 KB Output is correct
66 Correct 22 ms 13176 KB Output is correct
67 Correct 23 ms 13176 KB Output is correct
68 Correct 17 ms 13432 KB Output is correct
69 Correct 23 ms 13308 KB Output is correct
70 Correct 19 ms 13304 KB Output is correct
71 Correct 19 ms 13304 KB Output is correct
72 Correct 25 ms 13176 KB Output is correct
73 Correct 23 ms 13176 KB Output is correct
74 Correct 20 ms 13304 KB Output is correct
75 Correct 24 ms 13304 KB Output is correct
76 Correct 23 ms 13304 KB Output is correct
77 Correct 23 ms 13176 KB Output is correct
78 Correct 19 ms 13308 KB Output is correct
79 Correct 19 ms 13304 KB Output is correct
80 Correct 19 ms 13176 KB Output is correct
81 Correct 21 ms 13304 KB Output is correct
82 Correct 23 ms 13304 KB Output is correct
83 Correct 23 ms 13176 KB Output is correct
84 Correct 19 ms 13304 KB Output is correct
85 Correct 21 ms 13304 KB Output is correct
86 Correct 19 ms 13304 KB Output is correct
87 Correct 37 ms 13688 KB Output is correct
88 Correct 95 ms 15352 KB Output is correct
89 Correct 420 ms 20984 KB Output is correct
90 Correct 420 ms 21112 KB Output is correct
91 Correct 442 ms 20984 KB Output is correct
92 Correct 250 ms 27112 KB Output is correct
93 Correct 215 ms 26984 KB Output is correct
94 Correct 211 ms 26988 KB Output is correct
95 Correct 249 ms 23776 KB Output is correct
96 Correct 220 ms 23776 KB Output is correct
97 Correct 222 ms 23776 KB Output is correct
98 Correct 227 ms 23904 KB Output is correct
99 Correct 230 ms 23904 KB Output is correct
100 Correct 582 ms 20648 KB Output is correct
101 Correct 607 ms 20472 KB Output is correct
102 Correct 576 ms 20472 KB Output is correct
103 Correct 635 ms 20340 KB Output is correct
104 Correct 267 ms 23904 KB Output is correct
105 Correct 277 ms 24036 KB Output is correct
106 Correct 259 ms 23904 KB Output is correct
107 Correct 340 ms 21112 KB Output is correct
108 Correct 326 ms 20984 KB Output is correct
109 Correct 385 ms 21112 KB Output is correct
110 Correct 145 ms 25952 KB Output is correct
111 Correct 218 ms 23768 KB Output is correct
112 Correct 154 ms 23644 KB Output is correct
113 Correct 156 ms 23900 KB Output is correct
114 Correct 515 ms 20472 KB Output is correct
115 Correct 471 ms 20344 KB Output is correct
116 Correct 228 ms 23980 KB Output is correct
117 Correct 222 ms 22316 KB Output is correct
118 Correct 229 ms 22412 KB Output is correct
119 Correct 238 ms 21576 KB Output is correct
120 Correct 168 ms 22188 KB Output is correct
121 Correct 176 ms 22252 KB Output is correct
122 Correct 183 ms 21444 KB Output is correct
123 Correct 276 ms 22316 KB Output is correct
124 Correct 291 ms 22636 KB Output is correct
125 Correct 279 ms 21576 KB Output is correct
126 Correct 232 ms 23892 KB Output is correct
127 Correct 232 ms 23784 KB Output is correct
128 Correct 225 ms 23112 KB Output is correct