oj.uz

Submission #204256

# Submission time Handle Problem Language Result Execution time Memory
204256 2020-02-25T09:28:42 Z theStaticMind Construction of Highway (JOI18_construction) C++14
16 / 100
 1855 ms 262148 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;
      long long int size;
      void modify(long long int j, long long int v){
            j++;
            for(; j < size; j += j & -j)bit[j] += v;
      }
      long long int query(long long 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(long long int s){
            s += 5;
            size = s;
            bit = vector<long long int>(s, 0);
      }
};

const int N = 1e5 + 5;

vector<int> adj[N];
vector<int> sub(N, 1);
vector<ii> Q;
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;
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.pb({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);
	}
}

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

int ans(vector<ii>& arr){
	compress(arr);
	Fenwick bit(sz(arr));
	long long int ret = 0;
	for(auto x : arr){
		ret += bit.query(x.first - 1) * (long long int)x.second;
		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];
      for(int i = 0; i < n - 1; i++){
      	int x, y;
      	cin >> x >> y;
      	adj[x].pb(y);
      	adj[y].pb(x);
      	Q.pb({x, y});
      }
      dfs(1, 0);
      who[0].pb(1);
      dfs_hld(1, 0);

      for(int i = 0; i <= n; 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";
      	W.clear();
      	update(Q[i].second, val[Q[i].second]);
      }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10488 KB Output is correct
2 Correct 11 ms 10488 KB Output is correct
3 Correct 12 ms 10488 KB Output is correct
4 Correct 12 ms 10744 KB Output is correct
5 Correct 12 ms 10616 KB Output is correct
6 Correct 12 ms 10616 KB Output is correct
7 Correct 12 ms 10616 KB Output is correct
8 Correct 12 ms 10616 KB Output is correct
9 Correct 12 ms 10616 KB Output is correct
10 Correct 13 ms 10664 KB Output is correct
11 Correct 13 ms 10616 KB Output is correct
12 Correct 12 ms 10616 KB Output is correct
13 Correct 12 ms 10616 KB Output is correct
14 Correct 12 ms 10616 KB Output is correct
15 Correct 12 ms 10616 KB Output is correct
16 Correct 14 ms 10616 KB Output is correct
17 Correct 12 ms 10616 KB Output is correct
18 Correct 12 ms 10616 KB Output is correct
19 Correct 12 ms 10620 KB Output is correct
20 Correct 12 ms 10616 KB Output is correct
21 Correct 12 ms 10616 KB Output is correct
22 Correct 13 ms 10616 KB Output is correct
23 Correct 12 ms 10616 KB Output is correct
24 Correct 12 ms 10616 KB Output is correct
25 Correct 12 ms 10616 KB Output is correct
26 Correct 12 ms 10616 KB Output is correct
27 Correct 12 ms 10616 KB Output is correct
28 Correct 12 ms 10616 KB Output is correct
29 Correct 12 ms 10616 KB Output is correct
30 Correct 12 ms 10616 KB Output is correct
31 Correct 13 ms 10616 KB Output is correct
32 Correct 12 ms 10616 KB Output is correct
33 Correct 12 ms 10616 KB Output is correct
34 Correct 12 ms 10616 KB Output is correct
35 Correct 13 ms 10616 KB Output is correct
36 Correct 12 ms 10616 KB Output is correct
37 Correct 12 ms 10616 KB Output is correct
38 Correct 12 ms 10616 KB Output is correct
39 Correct 12 ms 10616 KB Output is correct
40 Correct 12 ms 10616 KB Output is correct
41 Correct 12 ms 10616 KB Output is correct
42 Correct 12 ms 10616 KB Output is correct
43 Correct 12 ms 10616 KB Output is correct
44 Correct 12 ms 10616 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10488 KB Output is correct
2 Correct 11 ms 10488 KB Output is correct
3 Correct 12 ms 10488 KB Output is correct
4 Correct 12 ms 10744 KB Output is correct
5 Correct 12 ms 10616 KB Output is correct
6 Correct 12 ms 10616 KB Output is correct
7 Correct 12 ms 10616 KB Output is correct
8 Correct 12 ms 10616 KB Output is correct
9 Correct 12 ms 10616 KB Output is correct
10 Correct 13 ms 10664 KB Output is correct
11 Correct 13 ms 10616 KB Output is correct
12 Correct 12 ms 10616 KB Output is correct
13 Correct 12 ms 10616 KB Output is correct
14 Correct 12 ms 10616 KB Output is correct
15 Correct 12 ms 10616 KB Output is correct
16 Correct 14 ms 10616 KB Output is correct
17 Correct 12 ms 10616 KB Output is correct
18 Correct 12 ms 10616 KB Output is correct
19 Correct 12 ms 10620 KB Output is correct
20 Correct 12 ms 10616 KB Output is correct
21 Correct 12 ms 10616 KB Output is correct
22 Correct 13 ms 10616 KB Output is correct
23 Correct 12 ms 10616 KB Output is correct
24 Correct 12 ms 10616 KB Output is correct
25 Correct 12 ms 10616 KB Output is correct
26 Correct 12 ms 10616 KB Output is correct
27 Correct 12 ms 10616 KB Output is correct
28 Correct 12 ms 10616 KB Output is correct
29 Correct 12 ms 10616 KB Output is correct
30 Correct 12 ms 10616 KB Output is correct
31 Correct 13 ms 10616 KB Output is correct
32 Correct 12 ms 10616 KB Output is correct
33 Correct 12 ms 10616 KB Output is correct
34 Correct 12 ms 10616 KB Output is correct
35 Correct 13 ms 10616 KB Output is correct
36 Correct 12 ms 10616 KB Output is correct
37 Correct 12 ms 10616 KB Output is correct
38 Correct 12 ms 10616 KB Output is correct
39 Correct 12 ms 10616 KB Output is correct
40 Correct 12 ms 10616 KB Output is correct
41 Correct 12 ms 10616 KB Output is correct
42 Correct 12 ms 10616 KB Output is correct
43 Correct 12 ms 10616 KB Output is correct
44 Correct 12 ms 10616 KB Output is correct
45 Correct 13 ms 10620 KB Output is correct
46 Correct 20 ms 11000 KB Output is correct
47 Correct 19 ms 11000 KB Output is correct
48 Correct 20 ms 11000 KB Output is correct
49 Correct 15 ms 11256 KB Output is correct
50 Correct 16 ms 11256 KB Output is correct
51 Correct 16 ms 11256 KB Output is correct
52 Correct 16 ms 11256 KB Output is correct
53 Correct 17 ms 11256 KB Output is correct
54 Correct 17 ms 11256 KB Output is correct
55 Correct 17 ms 11256 KB Output is correct
56 Correct 16 ms 11128 KB Output is correct
57 Correct 21 ms 11000 KB Output is correct
58 Correct 23 ms 11000 KB Output is correct
59 Correct 25 ms 11000 KB Output is correct
60 Correct 23 ms 11000 KB Output is correct
61 Correct 17 ms 11128 KB Output is correct
62 Correct 18 ms 11132 KB Output is correct
63 Correct 17 ms 11128 KB Output is correct
64 Correct 17 ms 11000 KB Output is correct
65 Correct 18 ms 11004 KB Output is correct
66 Correct 19 ms 11000 KB Output is correct
67 Correct 21 ms 11000 KB Output is correct
68 Correct 17 ms 11128 KB Output is correct
69 Correct 16 ms 11256 KB Output is correct
70 Correct 17 ms 11128 KB Output is correct
71 Correct 16 ms 11128 KB Output is correct
72 Correct 22 ms 11000 KB Output is correct
73 Correct 22 ms 11000 KB Output is correct
74 Correct 16 ms 11128 KB Output is correct
75 Correct 17 ms 11000 KB Output is correct
76 Correct 17 ms 11004 KB Output is correct
77 Correct 16 ms 11000 KB Output is correct
78 Correct 16 ms 11000 KB Output is correct
79 Correct 16 ms 11000 KB Output is correct
80 Correct 16 ms 11004 KB Output is correct
81 Correct 20 ms 11000 KB Output is correct
82 Correct 18 ms 11128 KB Output is correct
83 Correct 18 ms 11004 KB Output is correct
84 Correct 18 ms 11128 KB Output is correct
85 Correct 18 ms 11000 KB Output is correct
86 Correct 17 ms 11000 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10488 KB Output is correct
2 Correct 11 ms 10488 KB Output is correct
3 Correct 12 ms 10488 KB Output is correct
4 Correct 12 ms 10744 KB Output is correct
5 Correct 12 ms 10616 KB Output is correct
6 Correct 12 ms 10616 KB Output is correct
7 Correct 12 ms 10616 KB Output is correct
8 Correct 12 ms 10616 KB Output is correct
9 Correct 12 ms 10616 KB Output is correct
10 Correct 13 ms 10664 KB Output is correct
11 Correct 13 ms 10616 KB Output is correct
12 Correct 12 ms 10616 KB Output is correct
13 Correct 12 ms 10616 KB Output is correct
14 Correct 12 ms 10616 KB Output is correct
15 Correct 12 ms 10616 KB Output is correct
16 Correct 14 ms 10616 KB Output is correct
17 Correct 12 ms 10616 KB Output is correct
18 Correct 12 ms 10616 KB Output is correct
19 Correct 12 ms 10620 KB Output is correct
20 Correct 12 ms 10616 KB Output is correct
21 Correct 12 ms 10616 KB Output is correct
22 Correct 13 ms 10616 KB Output is correct
23 Correct 12 ms 10616 KB Output is correct
24 Correct 12 ms 10616 KB Output is correct
25 Correct 12 ms 10616 KB Output is correct
26 Correct 12 ms 10616 KB Output is correct
27 Correct 12 ms 10616 KB Output is correct
28 Correct 12 ms 10616 KB Output is correct
29 Correct 12 ms 10616 KB Output is correct
30 Correct 12 ms 10616 KB Output is correct
31 Correct 13 ms 10616 KB Output is correct
32 Correct 12 ms 10616 KB Output is correct
33 Correct 12 ms 10616 KB Output is correct
34 Correct 12 ms 10616 KB Output is correct
35 Correct 13 ms 10616 KB Output is correct
36 Correct 12 ms 10616 KB Output is correct
37 Correct 12 ms 10616 KB Output is correct
38 Correct 12 ms 10616 KB Output is correct
39 Correct 12 ms 10616 KB Output is correct
40 Correct 12 ms 10616 KB Output is correct
41 Correct 12 ms 10616 KB Output is correct
42 Correct 12 ms 10616 KB Output is correct
43 Correct 12 ms 10616 KB Output is correct
44 Correct 12 ms 10616 KB Output is correct
45 Correct 13 ms 10620 KB Output is correct
46 Correct 20 ms 11000 KB Output is correct
47 Correct 19 ms 11000 KB Output is correct
48 Correct 20 ms 11000 KB Output is correct
49 Correct 15 ms 11256 KB Output is correct
50 Correct 16 ms 11256 KB Output is correct
51 Correct 16 ms 11256 KB Output is correct
52 Correct 16 ms 11256 KB Output is correct
53 Correct 17 ms 11256 KB Output is correct
54 Correct 17 ms 11256 KB Output is correct
55 Correct 17 ms 11256 KB Output is correct
56 Correct 16 ms 11128 KB Output is correct
57 Correct 21 ms 11000 KB Output is correct
58 Correct 23 ms 11000 KB Output is correct
59 Correct 25 ms 11000 KB Output is correct
60 Correct 23 ms 11000 KB Output is correct
61 Correct 17 ms 11128 KB Output is correct
62 Correct 18 ms 11132 KB Output is correct
63 Correct 17 ms 11128 KB Output is correct
64 Correct 17 ms 11000 KB Output is correct
65 Correct 18 ms 11004 KB Output is correct
66 Correct 19 ms 11000 KB Output is correct
67 Correct 21 ms 11000 KB Output is correct
68 Correct 17 ms 11128 KB Output is correct
69 Correct 16 ms 11256 KB Output is correct
70 Correct 17 ms 11128 KB Output is correct
71 Correct 16 ms 11128 KB Output is correct
72 Correct 22 ms 11000 KB Output is correct
73 Correct 22 ms 11000 KB Output is correct
74 Correct 16 ms 11128 KB Output is correct
75 Correct 17 ms 11000 KB Output is correct
76 Correct 17 ms 11004 KB Output is correct
77 Correct 16 ms 11000 KB Output is correct
78 Correct 16 ms 11000 KB Output is correct
79 Correct 16 ms 11000 KB Output is correct
80 Correct 16 ms 11004 KB Output is correct
81 Correct 20 ms 11000 KB Output is correct
82 Correct 18 ms 11128 KB Output is correct
83 Correct 18 ms 11004 KB Output is correct
84 Correct 18 ms 11128 KB Output is correct
85 Correct 18 ms 11000 KB Output is correct
86 Correct 17 ms 11000 KB Output is correct
87 Correct 34 ms 11768 KB Output is correct
88 Correct 86 ms 14320 KB Output is correct
89 Correct 367 ms 21996 KB Output is correct
90 Correct 382 ms 22040 KB Output is correct
91 Correct 352 ms 21916 KB Output is correct
92 Correct 155 ms 27456 KB Output is correct
93 Correct 164 ms 27412 KB Output is correct
94 Correct 153 ms 27072 KB Output is correct
95 Correct 169 ms 27100 KB Output is correct
96 Correct 203 ms 27100 KB Output is correct
97 Correct 189 ms 27100 KB Output is correct
98 Correct 188 ms 27100 KB Output is correct
99 Correct 174 ms 24540 KB Output is correct
100 Correct 508 ms 21572 KB Output is correct
101 Correct 632 ms 21612 KB Output is correct
102 Correct 651 ms 21608 KB Output is correct
103 Correct 655 ms 21716 KB Output is correct
104 Correct 240 ms 24540 KB Output is correct
105 Correct 213 ms 24540 KB Output is correct
106 Correct 225 ms 24540 KB Output is correct
107 Correct 313 ms 21588 KB Output is correct
108 Correct 383 ms 21868 KB Output is correct
109 Correct 371 ms 21612 KB Output is correct
110 Correct 172 ms 27176 KB Output is correct
111 Correct 178 ms 27100 KB Output is correct
112 Correct 160 ms 25308 KB Output is correct
113 Correct 168 ms 24712 KB Output is correct
114 Correct 538 ms 21536 KB Output is correct
115 Correct 610 ms 21484 KB Output is correct
116 Correct 204 ms 24540 KB Output is correct
117 Correct 179 ms 22892 KB Output is correct
118 Correct 181 ms 23020 KB Output is correct
119 Correct 170 ms 22124 KB Output is correct
120 Correct 185 ms 22900 KB Output is correct
121 Correct 170 ms 22892 KB Output is correct
122 Correct 187 ms 22252 KB Output is correct
123 Correct 225 ms 23020 KB Output is correct
124 Correct 243 ms 22764 KB Output is correct
125 Runtime error 1855 ms 262148 KB Execution killed with signal 9 (could be triggered by violating memory limits)
126 Halted 0 ms 0 KB -