Submission #204292

# Submission time Handle Problem Language Result Execution time Memory
204292 2020-02-25T10:03:42 Z theStaticMind Construction of Highway (JOI18_construction) C++14
16 / 100
666 ms 44744 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<ii>& arr){
	map<int,int> data;
	for(int i = 0; i < C; i++) data[arr[i].first] = 0;
	int ind = sz(data);
	for(auto& x : data)x.second = ind--;
	for(int i = 0; i < C; i++) arr[i].first = data[arr[i].first];
	return sz(data);
}

int ans(vector<ii>& arr){
	int s = compress(arr);
	for(int i = 0; i < s + 5; i++)bit.bit[i] = 0;
	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);
	}
	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[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]);
      }
}

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 12 ms 12920 KB Output is correct
3 Correct 13 ms 12920 KB Output is correct
4 Correct 13 ms 12920 KB Output is correct
5 Correct 14 ms 12920 KB Output is correct
6 Correct 14 ms 12924 KB Output is correct
7 Correct 13 ms 12924 KB Output is correct
8 Correct 13 ms 12924 KB Output is correct
9 Correct 13 ms 12920 KB Output is correct
10 Correct 13 ms 12920 KB Output is correct
11 Correct 12 ms 12920 KB Output is correct
12 Correct 13 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 13 ms 12924 KB Output is correct
15 Correct 14 ms 12924 KB Output is correct
16 Correct 14 ms 12920 KB Output is correct
17 Correct 15 ms 12920 KB Output is correct
18 Correct 14 ms 12920 KB Output is correct
19 Correct 13 ms 12920 KB Output is correct
20 Correct 13 ms 12920 KB Output is correct
21 Correct 13 ms 12920 KB Output is correct
22 Correct 13 ms 12920 KB Output is correct
23 Correct 14 ms 12920 KB Output is correct
24 Correct 13 ms 12920 KB Output is correct
25 Correct 13 ms 12920 KB Output is correct
26 Correct 13 ms 12920 KB Output is correct
27 Correct 13 ms 12920 KB Output is correct
28 Correct 13 ms 12924 KB Output is correct
29 Correct 13 ms 12920 KB Output is correct
30 Correct 13 ms 12920 KB Output is correct
31 Correct 13 ms 12920 KB Output is correct
32 Correct 13 ms 12920 KB Output is correct
33 Correct 13 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 13 ms 12920 KB Output is correct
36 Correct 13 ms 12920 KB Output is correct
37 Correct 13 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 13 ms 12920 KB Output is correct
40 Correct 13 ms 12920 KB Output is correct
41 Correct 13 ms 12920 KB Output is correct
42 Correct 13 ms 12920 KB Output is correct
43 Correct 13 ms 12920 KB Output is correct
44 Correct 14 ms 12924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 12 ms 12920 KB Output is correct
3 Correct 13 ms 12920 KB Output is correct
4 Correct 13 ms 12920 KB Output is correct
5 Correct 14 ms 12920 KB Output is correct
6 Correct 14 ms 12924 KB Output is correct
7 Correct 13 ms 12924 KB Output is correct
8 Correct 13 ms 12924 KB Output is correct
9 Correct 13 ms 12920 KB Output is correct
10 Correct 13 ms 12920 KB Output is correct
11 Correct 12 ms 12920 KB Output is correct
12 Correct 13 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 13 ms 12924 KB Output is correct
15 Correct 14 ms 12924 KB Output is correct
16 Correct 14 ms 12920 KB Output is correct
17 Correct 15 ms 12920 KB Output is correct
18 Correct 14 ms 12920 KB Output is correct
19 Correct 13 ms 12920 KB Output is correct
20 Correct 13 ms 12920 KB Output is correct
21 Correct 13 ms 12920 KB Output is correct
22 Correct 13 ms 12920 KB Output is correct
23 Correct 14 ms 12920 KB Output is correct
24 Correct 13 ms 12920 KB Output is correct
25 Correct 13 ms 12920 KB Output is correct
26 Correct 13 ms 12920 KB Output is correct
27 Correct 13 ms 12920 KB Output is correct
28 Correct 13 ms 12924 KB Output is correct
29 Correct 13 ms 12920 KB Output is correct
30 Correct 13 ms 12920 KB Output is correct
31 Correct 13 ms 12920 KB Output is correct
32 Correct 13 ms 12920 KB Output is correct
33 Correct 13 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 13 ms 12920 KB Output is correct
36 Correct 13 ms 12920 KB Output is correct
37 Correct 13 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 13 ms 12920 KB Output is correct
40 Correct 13 ms 12920 KB Output is correct
41 Correct 13 ms 12920 KB Output is correct
42 Correct 13 ms 12920 KB Output is correct
43 Correct 13 ms 12920 KB Output is correct
44 Correct 14 ms 12924 KB Output is correct
45 Correct 14 ms 12920 KB Output is correct
46 Correct 20 ms 13304 KB Output is correct
47 Correct 21 ms 13176 KB Output is correct
48 Correct 20 ms 13176 KB Output is correct
49 Correct 17 ms 13432 KB Output is correct
50 Correct 17 ms 13432 KB Output is correct
51 Correct 17 ms 13432 KB Output is correct
52 Correct 17 ms 13432 KB Output is correct
53 Correct 18 ms 13432 KB Output is correct
54 Correct 17 ms 13432 KB Output is correct
55 Correct 17 ms 13432 KB Output is correct
56 Correct 18 ms 13304 KB Output is correct
57 Correct 22 ms 13176 KB Output is correct
58 Correct 25 ms 13176 KB Output is correct
59 Correct 25 ms 13176 KB Output is correct
60 Correct 25 ms 13176 KB Output is correct
61 Correct 20 ms 13304 KB Output is correct
62 Correct 18 ms 13304 KB Output is correct
63 Correct 18 ms 13304 KB Output is correct
64 Correct 18 ms 13176 KB Output is correct
65 Correct 19 ms 13176 KB Output is correct
66 Correct 20 ms 13176 KB Output is correct
67 Correct 20 ms 13176 KB Output is correct
68 Correct 19 ms 13432 KB Output is correct
69 Correct 17 ms 13436 KB Output is correct
70 Correct 17 ms 13312 KB Output is correct
71 Correct 17 ms 13308 KB Output is correct
72 Correct 22 ms 13176 KB Output is correct
73 Correct 25 ms 13176 KB Output is correct
74 Correct 17 ms 13304 KB Output is correct
75 Correct 17 ms 13304 KB Output is correct
76 Correct 18 ms 13304 KB Output is correct
77 Correct 17 ms 13352 KB Output is correct
78 Correct 17 ms 13304 KB Output is correct
79 Correct 17 ms 13304 KB Output is correct
80 Correct 17 ms 13304 KB Output is correct
81 Correct 18 ms 13304 KB Output is correct
82 Correct 17 ms 13304 KB Output is correct
83 Correct 18 ms 13304 KB Output is correct
84 Correct 18 ms 13304 KB Output is correct
85 Correct 18 ms 13304 KB Output is correct
86 Correct 18 ms 13176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 12920 KB Output is correct
2 Correct 12 ms 12920 KB Output is correct
3 Correct 13 ms 12920 KB Output is correct
4 Correct 13 ms 12920 KB Output is correct
5 Correct 14 ms 12920 KB Output is correct
6 Correct 14 ms 12924 KB Output is correct
7 Correct 13 ms 12924 KB Output is correct
8 Correct 13 ms 12924 KB Output is correct
9 Correct 13 ms 12920 KB Output is correct
10 Correct 13 ms 12920 KB Output is correct
11 Correct 12 ms 12920 KB Output is correct
12 Correct 13 ms 12920 KB Output is correct
13 Correct 15 ms 12920 KB Output is correct
14 Correct 13 ms 12924 KB Output is correct
15 Correct 14 ms 12924 KB Output is correct
16 Correct 14 ms 12920 KB Output is correct
17 Correct 15 ms 12920 KB Output is correct
18 Correct 14 ms 12920 KB Output is correct
19 Correct 13 ms 12920 KB Output is correct
20 Correct 13 ms 12920 KB Output is correct
21 Correct 13 ms 12920 KB Output is correct
22 Correct 13 ms 12920 KB Output is correct
23 Correct 14 ms 12920 KB Output is correct
24 Correct 13 ms 12920 KB Output is correct
25 Correct 13 ms 12920 KB Output is correct
26 Correct 13 ms 12920 KB Output is correct
27 Correct 13 ms 12920 KB Output is correct
28 Correct 13 ms 12924 KB Output is correct
29 Correct 13 ms 12920 KB Output is correct
30 Correct 13 ms 12920 KB Output is correct
31 Correct 13 ms 12920 KB Output is correct
32 Correct 13 ms 12920 KB Output is correct
33 Correct 13 ms 12920 KB Output is correct
34 Correct 15 ms 12920 KB Output is correct
35 Correct 13 ms 12920 KB Output is correct
36 Correct 13 ms 12920 KB Output is correct
37 Correct 13 ms 12920 KB Output is correct
38 Correct 15 ms 12920 KB Output is correct
39 Correct 13 ms 12920 KB Output is correct
40 Correct 13 ms 12920 KB Output is correct
41 Correct 13 ms 12920 KB Output is correct
42 Correct 13 ms 12920 KB Output is correct
43 Correct 13 ms 12920 KB Output is correct
44 Correct 14 ms 12924 KB Output is correct
45 Correct 14 ms 12920 KB Output is correct
46 Correct 20 ms 13304 KB Output is correct
47 Correct 21 ms 13176 KB Output is correct
48 Correct 20 ms 13176 KB Output is correct
49 Correct 17 ms 13432 KB Output is correct
50 Correct 17 ms 13432 KB Output is correct
51 Correct 17 ms 13432 KB Output is correct
52 Correct 17 ms 13432 KB Output is correct
53 Correct 18 ms 13432 KB Output is correct
54 Correct 17 ms 13432 KB Output is correct
55 Correct 17 ms 13432 KB Output is correct
56 Correct 18 ms 13304 KB Output is correct
57 Correct 22 ms 13176 KB Output is correct
58 Correct 25 ms 13176 KB Output is correct
59 Correct 25 ms 13176 KB Output is correct
60 Correct 25 ms 13176 KB Output is correct
61 Correct 20 ms 13304 KB Output is correct
62 Correct 18 ms 13304 KB Output is correct
63 Correct 18 ms 13304 KB Output is correct
64 Correct 18 ms 13176 KB Output is correct
65 Correct 19 ms 13176 KB Output is correct
66 Correct 20 ms 13176 KB Output is correct
67 Correct 20 ms 13176 KB Output is correct
68 Correct 19 ms 13432 KB Output is correct
69 Correct 17 ms 13436 KB Output is correct
70 Correct 17 ms 13312 KB Output is correct
71 Correct 17 ms 13308 KB Output is correct
72 Correct 22 ms 13176 KB Output is correct
73 Correct 25 ms 13176 KB Output is correct
74 Correct 17 ms 13304 KB Output is correct
75 Correct 17 ms 13304 KB Output is correct
76 Correct 18 ms 13304 KB Output is correct
77 Correct 17 ms 13352 KB Output is correct
78 Correct 17 ms 13304 KB Output is correct
79 Correct 17 ms 13304 KB Output is correct
80 Correct 17 ms 13304 KB Output is correct
81 Correct 18 ms 13304 KB Output is correct
82 Correct 17 ms 13304 KB Output is correct
83 Correct 18 ms 13304 KB Output is correct
84 Correct 18 ms 13304 KB Output is correct
85 Correct 18 ms 13304 KB Output is correct
86 Correct 18 ms 13176 KB Output is correct
87 Correct 35 ms 13688 KB Output is correct
88 Correct 89 ms 15352 KB Output is correct
89 Correct 386 ms 20984 KB Output is correct
90 Correct 388 ms 21284 KB Output is correct
91 Correct 364 ms 21004 KB Output is correct
92 Correct 148 ms 26080 KB Output is correct
93 Correct 147 ms 26080 KB Output is correct
94 Correct 144 ms 25952 KB Output is correct
95 Correct 166 ms 26076 KB Output is correct
96 Correct 183 ms 26076 KB Output is correct
97 Correct 177 ms 26076 KB Output is correct
98 Correct 185 ms 26076 KB Output is correct
99 Correct 173 ms 24052 KB Output is correct
100 Correct 524 ms 20408 KB Output is correct
101 Correct 648 ms 20472 KB Output is correct
102 Correct 644 ms 20288 KB Output is correct
103 Correct 666 ms 20452 KB Output is correct
104 Correct 215 ms 23900 KB Output is correct
105 Correct 203 ms 23900 KB Output is correct
106 Correct 211 ms 23900 KB Output is correct
107 Correct 313 ms 20988 KB Output is correct
108 Correct 363 ms 21112 KB Output is correct
109 Correct 372 ms 21088 KB Output is correct
110 Correct 141 ms 25952 KB Output is correct
111 Correct 178 ms 26104 KB Output is correct
112 Correct 149 ms 23772 KB Output is correct
113 Correct 154 ms 23900 KB Output is correct
114 Correct 536 ms 20344 KB Output is correct
115 Correct 616 ms 20344 KB Output is correct
116 Correct 206 ms 23900 KB Output is correct
117 Correct 167 ms 22188 KB Output is correct
118 Correct 191 ms 22376 KB Output is correct
119 Correct 178 ms 21448 KB Output is correct
120 Correct 168 ms 22188 KB Output is correct
121 Correct 167 ms 22248 KB Output is correct
122 Correct 170 ms 21448 KB Output is correct
123 Correct 218 ms 22320 KB Output is correct
124 Correct 251 ms 22248 KB Output is correct
125 Runtime error 152 ms 44744 KB Execution killed with signal 11 (could be triggered by violating memory limits)
126 Halted 0 ms 0 KB -