oj.uz

Submission #204250

# Submission time Handle Problem Language Result Execution time Memory
204250 2020-02-25T09:22:59 Z theStaticMind Construction of Highway (JOI18_construction) C++14
16 / 100
 1221 ms 262144 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<int> bit;
      int size;
      void modify(int j, int v){
            j++;
            for(; j < size; j += j & -j)bit[j] += v;
      }
      int query(int j){
            j++;
            int v = 0;
            for(; j > 0; j -= j & -j)v += bit[j];
            return v;
      }
      int rangequery(int a, int b){
            return query(b) - query(a - 1);
      }
      void rangeupdate(int a, int b, int v){
            modify(a, v);
            modify(b + 1, -v);
      }
      Fenwick(int s){
            s += 5;
            size = s;
            bit = vector<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<int> depth(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;
		depth[y] = depth[x] + 1;
		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));
	int ret = 0;
	for(auto x : arr){
		ret += bit.query(x.first - 1) * 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 14 ms 14460 KB Output is correct
2 Correct 14 ms 14456 KB Output is correct
3 Correct 14 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 14 ms 14584 KB Output is correct
6 Correct 15 ms 14584 KB Output is correct
7 Correct 14 ms 14584 KB Output is correct
8 Correct 14 ms 14584 KB Output is correct
9 Correct 14 ms 14584 KB Output is correct
10 Correct 14 ms 14584 KB Output is correct
11 Correct 14 ms 14584 KB Output is correct
12 Correct 14 ms 14584 KB Output is correct
13 Correct 14 ms 14588 KB Output is correct
14 Correct 15 ms 14584 KB Output is correct
15 Correct 14 ms 14584 KB Output is correct
16 Correct 15 ms 14584 KB Output is correct
17 Correct 14 ms 14588 KB Output is correct
18 Correct 15 ms 14584 KB Output is correct
19 Correct 14 ms 14584 KB Output is correct
20 Correct 14 ms 14584 KB Output is correct
21 Correct 14 ms 14584 KB Output is correct
22 Correct 14 ms 14584 KB Output is correct
23 Correct 14 ms 14584 KB Output is correct
24 Correct 14 ms 14584 KB Output is correct
25 Correct 14 ms 14584 KB Output is correct
26 Correct 14 ms 14584 KB Output is correct
27 Correct 15 ms 14584 KB Output is correct
28 Correct 14 ms 14584 KB Output is correct
29 Correct 14 ms 14584 KB Output is correct
30 Correct 14 ms 14584 KB Output is correct
31 Correct 14 ms 14584 KB Output is correct
32 Correct 14 ms 14584 KB Output is correct
33 Correct 14 ms 14584 KB Output is correct
34 Correct 14 ms 14584 KB Output is correct
35 Correct 14 ms 14584 KB Output is correct
36 Correct 13 ms 14584 KB Output is correct
37 Correct 15 ms 14584 KB Output is correct
38 Correct 14 ms 14584 KB Output is correct
39 Correct 14 ms 14584 KB Output is correct
40 Correct 14 ms 14584 KB Output is correct
41 Correct 14 ms 14584 KB Output is correct
42 Correct 14 ms 14580 KB Output is correct
43 Correct 14 ms 14584 KB Output is correct
44 Correct 14 ms 14584 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14460 KB Output is correct
2 Correct 14 ms 14456 KB Output is correct
3 Correct 14 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 14 ms 14584 KB Output is correct
6 Correct 15 ms 14584 KB Output is correct
7 Correct 14 ms 14584 KB Output is correct
8 Correct 14 ms 14584 KB Output is correct
9 Correct 14 ms 14584 KB Output is correct
10 Correct 14 ms 14584 KB Output is correct
11 Correct 14 ms 14584 KB Output is correct
12 Correct 14 ms 14584 KB Output is correct
13 Correct 14 ms 14588 KB Output is correct
14 Correct 15 ms 14584 KB Output is correct
15 Correct 14 ms 14584 KB Output is correct
16 Correct 15 ms 14584 KB Output is correct
17 Correct 14 ms 14588 KB Output is correct
18 Correct 15 ms 14584 KB Output is correct
19 Correct 14 ms 14584 KB Output is correct
20 Correct 14 ms 14584 KB Output is correct
21 Correct 14 ms 14584 KB Output is correct
22 Correct 14 ms 14584 KB Output is correct
23 Correct 14 ms 14584 KB Output is correct
24 Correct 14 ms 14584 KB Output is correct
25 Correct 14 ms 14584 KB Output is correct
26 Correct 14 ms 14584 KB Output is correct
27 Correct 15 ms 14584 KB Output is correct
28 Correct 14 ms 14584 KB Output is correct
29 Correct 14 ms 14584 KB Output is correct
30 Correct 14 ms 14584 KB Output is correct
31 Correct 14 ms 14584 KB Output is correct
32 Correct 14 ms 14584 KB Output is correct
33 Correct 14 ms 14584 KB Output is correct
34 Correct 14 ms 14584 KB Output is correct
35 Correct 14 ms 14584 KB Output is correct
36 Correct 13 ms 14584 KB Output is correct
37 Correct 15 ms 14584 KB Output is correct
38 Correct 14 ms 14584 KB Output is correct
39 Correct 14 ms 14584 KB Output is correct
40 Correct 14 ms 14584 KB Output is correct
41 Correct 14 ms 14584 KB Output is correct
42 Correct 14 ms 14580 KB Output is correct
43 Correct 14 ms 14584 KB Output is correct
44 Correct 14 ms 14584 KB Output is correct
45 Correct 15 ms 14584 KB Output is correct
46 Correct 21 ms 15096 KB Output is correct
47 Correct 29 ms 15096 KB Output is correct
48 Correct 21 ms 15096 KB Output is correct
49 Correct 18 ms 15420 KB Output is correct
50 Correct 18 ms 15420 KB Output is correct
51 Correct 19 ms 15548 KB Output is correct
52 Correct 19 ms 15352 KB Output is correct
53 Correct 19 ms 15352 KB Output is correct
54 Correct 19 ms 15352 KB Output is correct
55 Correct 19 ms 15352 KB Output is correct
56 Correct 18 ms 15224 KB Output is correct
57 Correct 23 ms 15100 KB Output is correct
58 Correct 26 ms 15096 KB Output is correct
59 Correct 27 ms 15096 KB Output is correct
60 Correct 26 ms 15096 KB Output is correct
61 Correct 19 ms 15224 KB Output is correct
62 Correct 22 ms 15224 KB Output is correct
63 Correct 19 ms 15224 KB Output is correct
64 Correct 20 ms 15096 KB Output is correct
65 Correct 21 ms 15100 KB Output is correct
66 Correct 20 ms 15096 KB Output is correct
67 Correct 21 ms 15096 KB Output is correct
68 Correct 18 ms 15420 KB Output is correct
69 Correct 19 ms 15352 KB Output is correct
70 Correct 18 ms 15224 KB Output is correct
71 Correct 19 ms 15224 KB Output is correct
72 Correct 23 ms 15096 KB Output is correct
73 Correct 26 ms 15096 KB Output is correct
74 Correct 19 ms 15224 KB Output is correct
75 Correct 18 ms 15096 KB Output is correct
76 Correct 19 ms 15224 KB Output is correct
77 Correct 19 ms 15096 KB Output is correct
78 Correct 19 ms 15100 KB Output is correct
79 Correct 19 ms 15216 KB Output is correct
80 Correct 18 ms 15096 KB Output is correct
81 Correct 19 ms 15096 KB Output is correct
82 Correct 19 ms 15228 KB Output is correct
83 Correct 20 ms 15096 KB Output is correct
84 Correct 19 ms 15096 KB Output is correct
85 Correct 20 ms 15224 KB Output is correct
86 Correct 20 ms 15100 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14460 KB Output is correct
2 Correct 14 ms 14456 KB Output is correct
3 Correct 14 ms 14456 KB Output is correct
4 Correct 14 ms 14456 KB Output is correct
5 Correct 14 ms 14584 KB Output is correct
6 Correct 15 ms 14584 KB Output is correct
7 Correct 14 ms 14584 KB Output is correct
8 Correct 14 ms 14584 KB Output is correct
9 Correct 14 ms 14584 KB Output is correct
10 Correct 14 ms 14584 KB Output is correct
11 Correct 14 ms 14584 KB Output is correct
12 Correct 14 ms 14584 KB Output is correct
13 Correct 14 ms 14588 KB Output is correct
14 Correct 15 ms 14584 KB Output is correct
15 Correct 14 ms 14584 KB Output is correct
16 Correct 15 ms 14584 KB Output is correct
17 Correct 14 ms 14588 KB Output is correct
18 Correct 15 ms 14584 KB Output is correct
19 Correct 14 ms 14584 KB Output is correct
20 Correct 14 ms 14584 KB Output is correct
21 Correct 14 ms 14584 KB Output is correct
22 Correct 14 ms 14584 KB Output is correct
23 Correct 14 ms 14584 KB Output is correct
24 Correct 14 ms 14584 KB Output is correct
25 Correct 14 ms 14584 KB Output is correct
26 Correct 14 ms 14584 KB Output is correct
27 Correct 15 ms 14584 KB Output is correct
28 Correct 14 ms 14584 KB Output is correct
29 Correct 14 ms 14584 KB Output is correct
30 Correct 14 ms 14584 KB Output is correct
31 Correct 14 ms 14584 KB Output is correct
32 Correct 14 ms 14584 KB Output is correct
33 Correct 14 ms 14584 KB Output is correct
34 Correct 14 ms 14584 KB Output is correct
35 Correct 14 ms 14584 KB Output is correct
36 Correct 13 ms 14584 KB Output is correct
37 Correct 15 ms 14584 KB Output is correct
38 Correct 14 ms 14584 KB Output is correct
39 Correct 14 ms 14584 KB Output is correct
40 Correct 14 ms 14584 KB Output is correct
41 Correct 14 ms 14584 KB Output is correct
42 Correct 14 ms 14580 KB Output is correct
43 Correct 14 ms 14584 KB Output is correct
44 Correct 14 ms 14584 KB Output is correct
45 Correct 15 ms 14584 KB Output is correct
46 Correct 21 ms 15096 KB Output is correct
47 Correct 29 ms 15096 KB Output is correct
48 Correct 21 ms 15096 KB Output is correct
49 Correct 18 ms 15420 KB Output is correct
50 Correct 18 ms 15420 KB Output is correct
51 Correct 19 ms 15548 KB Output is correct
52 Correct 19 ms 15352 KB Output is correct
53 Correct 19 ms 15352 KB Output is correct
54 Correct 19 ms 15352 KB Output is correct
55 Correct 19 ms 15352 KB Output is correct
56 Correct 18 ms 15224 KB Output is correct
57 Correct 23 ms 15100 KB Output is correct
58 Correct 26 ms 15096 KB Output is correct
59 Correct 27 ms 15096 KB Output is correct
60 Correct 26 ms 15096 KB Output is correct
61 Correct 19 ms 15224 KB Output is correct
62 Correct 22 ms 15224 KB Output is correct
63 Correct 19 ms 15224 KB Output is correct
64 Correct 20 ms 15096 KB Output is correct
65 Correct 21 ms 15100 KB Output is correct
66 Correct 20 ms 15096 KB Output is correct
67 Correct 21 ms 15096 KB Output is correct
68 Correct 18 ms 15420 KB Output is correct
69 Correct 19 ms 15352 KB Output is correct
70 Correct 18 ms 15224 KB Output is correct
71 Correct 19 ms 15224 KB Output is correct
72 Correct 23 ms 15096 KB Output is correct
73 Correct 26 ms 15096 KB Output is correct
74 Correct 19 ms 15224 KB Output is correct
75 Correct 18 ms 15096 KB Output is correct
76 Correct 19 ms 15224 KB Output is correct
77 Correct 19 ms 15096 KB Output is correct
78 Correct 19 ms 15100 KB Output is correct
79 Correct 19 ms 15216 KB Output is correct
80 Correct 18 ms 15096 KB Output is correct
81 Correct 19 ms 15096 KB Output is correct
82 Correct 19 ms 15228 KB Output is correct
83 Correct 20 ms 15096 KB Output is correct
84 Correct 19 ms 15096 KB Output is correct
85 Correct 20 ms 15224 KB Output is correct
86 Correct 20 ms 15100 KB Output is correct
87 Correct 34 ms 16116 KB Output is correct
88 Correct 91 ms 19440 KB Output is correct
89 Correct 415 ms 29800 KB Output is correct
90 Correct 409 ms 29904 KB Output is correct
91 Correct 419 ms 29928 KB Output is correct
92 Correct 173 ms 37140 KB Output is correct
93 Correct 172 ms 39060 KB Output is correct
94 Correct 173 ms 38932 KB Output is correct
95 Correct 189 ms 38488 KB Output is correct
96 Correct 211 ms 38860 KB Output is correct
97 Correct 210 ms 38860 KB Output is correct
98 Correct 216 ms 38860 KB Output is correct
99 Correct 192 ms 35020 KB Output is correct
100 Correct 597 ms 31740 KB Output is correct
101 Correct 698 ms 31980 KB Output is correct
102 Correct 705 ms 32104 KB Output is correct
103 Correct 716 ms 31980 KB Output is correct
104 Correct 251 ms 35148 KB Output is correct
105 Correct 263 ms 35048 KB Output is correct
106 Correct 245 ms 34984 KB Output is correct
107 Correct 350 ms 30824 KB Output is correct
108 Correct 398 ms 30952 KB Output is correct
109 Correct 429 ms 31336 KB Output is correct
110 Correct 166 ms 38292 KB Output is correct
111 Correct 185 ms 38476 KB Output is correct
112 Correct 181 ms 36300 KB Output is correct
113 Correct 178 ms 34380 KB Output is correct
114 Correct 602 ms 31728 KB Output is correct
115 Correct 688 ms 31592 KB Output is correct
116 Correct 245 ms 34512 KB Output is correct
117 Correct 198 ms 32744 KB Output is correct
118 Correct 206 ms 33132 KB Output is correct
119 Correct 206 ms 31720 KB Output is correct
120 Correct 185 ms 32360 KB Output is correct
121 Correct 220 ms 32872 KB Output is correct
122 Correct 211 ms 31464 KB Output is correct
123 Correct 303 ms 32744 KB Output is correct
124 Correct 308 ms 33128 KB Output is correct
125 Runtime error 1221 ms 262144 KB Execution killed with signal 9 (could be triggered by violating memory limits)
126 Halted 0 ms 0 KB -