oj.uz

Submission #274733

# Submission time Handle Problem Language Result Execution time Memory
274733 2020-08-19T14:48:11 Z crackersamdjam Construction of Highway (JOI18_construction) C++17
16 / 100
 2000 ms 33656 KB 
#pragma GCC optimize("O3")
#pragma GCC target("sse4")

#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define gc getchar_unlocked()
#define pc(x) putchar_unlocked(x)
template<typename T> void scan(T &x){x = 0;bool _=0;T c=gc;_=c==45;c=_?gc:c;while(c<48||c>57)c=gc;for(;c<48||c>57;c=gc);for(;c>47&&c<58;c=gc)x=(x<<3)+(x<<1)+(c&15);x=_?-x:x;}
template<typename T> void printn(T n){bool _=0;_=n<0;n=_?-n:n;char snum[65];int i=0;do{snum[i++]=n%10+48;n/= 10;}while(n);--i;if (_)pc(45);while(i>=0)pc(snum[i--]);}
template<typename First, typename ... Ints> void scan(First &arg, Ints&... rest){scan(arg);scan(rest...);}
template<typename T> void print(T n){printn(n);pc(10);}
template<typename First, typename ... Ints> void print(First arg, Ints... rest){printn(arg);pc(32);print(rest...);}

using namespace std;
typedef long long ll;
typedef pair<int, int> T;
typedef int L;
const int MM = 1e5+5, LOG = 17;

struct node{
	T val;
	L lp;
	inline void apply(L v){
		val = {v, v};
		lp = v;
	}
};

struct segtree{
#define lc (rt<<1)
#define rc (rt<<1|1)
#define nm ((nl+nr)>>1)
	node tree[MM*4];
	const T DEF = {INT_MAX, INT_MIN};
	const L LDEF = 0;
	inline T merge(T va, T vb){ return {min(va.first, vb.first), max(va.second, vb.second)};}
	inline void pull(int rt){ tree[rt].val = merge(tree[lc].val, tree[rc].val);}
	
	// node with lazy val means yet to push to children (but updated itself)
	inline void push(int rt, int nl, int nr){
		L &val = tree[rt].lp;
		if(nl != nr and val){
			tree[lc].apply(val);
			tree[rc].apply(val);
		}
		val = LDEF;
	}
	
	void build(int l = 0, int r = MM-1, int rt = 1){
		int nl = l, nr = r;
		
		tree[rt].val = DEF;
		tree[rt].lp = LDEF;
		
		if(l == r)
			return;
		build(l, nm, lc);
		build(nm+1, r, rc);
		pull(rt);
	}
	
	void update(int l, int r, L val, int nl = 0, int nr = MM-1, int rt = 1){
		if(r < nl || l > nr)
			return;
		if(l <= nl && r >= nr){
			tree[rt].apply(val);
			return;
		}
		push(rt, nl, nr);
		update(l, r, val, nl, nm, lc);
		update(l, r, val, nm+1, nr, rc);
		pull(rt);
	}
	
	T query(int l, int r, int nl = 0, int nr = MM-1, int rt = 1){
		if(r < nl || l > nr)
			return DEF;
		if(l <= nl && r >= nr)
			return tree[rt].val;
		push(rt, nl, nr);
		return merge(query(l, r, nl, nm, lc), query(l, r, nm+1, nr, rc));
	}
#undef lc
#undef rc
#undef nm
} ST;

int n, c[MM], ina[MM], inb[MM];
vector<int> adj[MM];
int par[MM], dep[MM], heavy[MM], head[MM], pos[MM], ptr;
int bit[MM], sp[LOG][MM];
map<int, int> mp;
int X = 2;

inline int bitqu(int i){
	int ret = 0;
	for(; i; i -= i&-i)
		ret += bit[i];
	return ret;
}

inline void bitup(int i, int v){
	for(; i < X; i += i&-i)
		bit[i] += v;
}

int dfs(int cur, int pre){
	int size = 1, maxsz = 0;
	for(int u : adj[cur]){
		if(u == pre)
			continue;
		par[u] = cur, dep[u] = dep[cur]+1;
		sp[0][u] = cur;
		int szu = dfs(u, cur);
		size += szu;
		if(szu > maxsz)
			maxsz = szu, heavy[cur] = u;
	}
	return size;
}

void decompose(int cur, int id){
	head[cur] = id, pos[cur] = ++ptr;
	if(~heavy[cur])
		decompose(heavy[cur], id);
	for(int u: adj[cur]){
		if (u != par[cur] && u != heavy[cur])
			decompose(u, u);
	}
}

inline void init(){
	memset(sp, -1, sizeof sp);
	memset(heavy, -1, sizeof heavy);
	ptr = 0;
	adj[0].push_back(1);
	// adj[1].push_back(0);
	dfs(0, -1);
	decompose(1, 1);
	ST.build();
	for(int i = 1; i < LOG; i++){
		for(int j = 1; j <= n; j++){
			int u = sp[i-1][j];
			if(~u) sp[i][j] = sp[i-1][u];
		}
	}
}

vector<pair<int, int>> undo;

inline ll query(int u){
	ll res = 0;
	while(u > 0){
		int last = u, tar = ST.query(pos[last], pos[last]).first; //not par[last]?
		for(int i = __lg(dep[u]); i >= 0; i--){
			if(sp[i][u] > 0 and ST.query(pos[sp[i][u]], pos[u]) == make_pair(tar, tar)){ // min/max query to check all same
				//same colour, jump
				u = sp[i][u];
			}
		}
		u = sp[0][u]; //jump to diff one
		int cnt = dep[last]-(u == -1 ? -1 : dep[u]);
		res += (ll)cnt*bitqu(tar-1);

		bitup(tar, cnt);
		undo.emplace_back(tar, cnt);
	}
	for(auto i: undo)
		bitup(i.first, -i.second);
	undo.clear();

	return res;
}

inline void update(int b, L v){
	int a = 0;
	for(; head[a] != head[b]; b = par[head[b]]){
		// if(dep[head[a]] > dep[head[b]])
			// swap(a, b);
		int l = pos[head[b]], r = pos[b];
		ST.update(l, r, v);
	}
	if(a != b){
		// if(dep[a] > dep[b])
			// swap(a, b);
		ST.update(pos[a]+1, pos[b], v);
	}
}

int main(){
	scan(n);
	for(int i = 1; i <= n; i++){
		scan(c[i]);
		mp[c[i]] = 0;
	}
	for(auto &i: mp)
		i.second = X++;
	for(int i = 1; i <= n; i++){
		c[i] = mp[c[i]];
	}
	for(int i = 1; i < n; i++){
		scan(ina[i], inb[i]);
		adj[ina[i]].emplace_back(inb[i]);
		// adj[inb[i]].emplace_back(ina[i]);
	}
	init();
	update(pos[1], c[1]);
	
	for(int i = 1; i < n; i++){
		print(query(ina[i]));
		update(inb[i], c[inb[i]]);
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 14464 KB Output is correct
2 Correct 11 ms 14464 KB Output is correct
3 Correct 11 ms 14464 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 12 ms 14464 KB Output is correct
6 Correct 14 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 12 ms 14496 KB Output is correct
9 Correct 12 ms 14464 KB Output is correct
10 Correct 12 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 12 ms 14464 KB Output is correct
13 Correct 12 ms 14464 KB Output is correct
14 Correct 12 ms 14464 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 13 ms 14464 KB Output is correct
20 Correct 12 ms 14464 KB Output is correct
21 Correct 16 ms 14468 KB Output is correct
22 Correct 12 ms 14464 KB Output is correct
23 Correct 12 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 12 ms 14464 KB Output is correct
26 Correct 11 ms 14464 KB Output is correct
27 Correct 12 ms 14464 KB Output is correct
28 Correct 15 ms 14464 KB Output is correct
29 Correct 12 ms 14464 KB Output is correct
30 Correct 14 ms 14464 KB Output is correct
31 Correct 16 ms 14464 KB Output is correct
32 Correct 12 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 12 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 13 ms 14464 KB Output is correct
39 Correct 12 ms 14464 KB Output is correct
40 Correct 12 ms 14460 KB Output is correct
41 Correct 12 ms 14464 KB Output is correct
42 Correct 12 ms 14464 KB Output is correct
43 Correct 14 ms 14464 KB Output is correct
44 Correct 12 ms 14464 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 14464 KB Output is correct
2 Correct 11 ms 14464 KB Output is correct
3 Correct 11 ms 14464 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 12 ms 14464 KB Output is correct
6 Correct 14 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 12 ms 14496 KB Output is correct
9 Correct 12 ms 14464 KB Output is correct
10 Correct 12 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 12 ms 14464 KB Output is correct
13 Correct 12 ms 14464 KB Output is correct
14 Correct 12 ms 14464 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 13 ms 14464 KB Output is correct
20 Correct 12 ms 14464 KB Output is correct
21 Correct 16 ms 14468 KB Output is correct
22 Correct 12 ms 14464 KB Output is correct
23 Correct 12 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 12 ms 14464 KB Output is correct
26 Correct 11 ms 14464 KB Output is correct
27 Correct 12 ms 14464 KB Output is correct
28 Correct 15 ms 14464 KB Output is correct
29 Correct 12 ms 14464 KB Output is correct
30 Correct 14 ms 14464 KB Output is correct
31 Correct 16 ms 14464 KB Output is correct
32 Correct 12 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 12 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 13 ms 14464 KB Output is correct
39 Correct 12 ms 14464 KB Output is correct
40 Correct 12 ms 14460 KB Output is correct
41 Correct 12 ms 14464 KB Output is correct
42 Correct 12 ms 14464 KB Output is correct
43 Correct 14 ms 14464 KB Output is correct
44 Correct 12 ms 14464 KB Output is correct
45 Correct 14 ms 14592 KB Output is correct
46 Correct 33 ms 14848 KB Output is correct
47 Correct 31 ms 14848 KB Output is correct
48 Correct 32 ms 14848 KB Output is correct
49 Correct 24 ms 15232 KB Output is correct
50 Correct 22 ms 15232 KB Output is correct
51 Correct 21 ms 15232 KB Output is correct
52 Correct 24 ms 14976 KB Output is correct
53 Correct 24 ms 14976 KB Output is correct
54 Correct 24 ms 14976 KB Output is correct
55 Correct 24 ms 14976 KB Output is correct
56 Correct 25 ms 14976 KB Output is correct
57 Correct 46 ms 14848 KB Output is correct
58 Correct 47 ms 14848 KB Output is correct
59 Correct 46 ms 14848 KB Output is correct
60 Correct 47 ms 14848 KB Output is correct
61 Correct 26 ms 14976 KB Output is correct
62 Correct 27 ms 14976 KB Output is correct
63 Correct 26 ms 14976 KB Output is correct
64 Correct 26 ms 14592 KB Output is correct
65 Correct 29 ms 14592 KB Output is correct
66 Correct 30 ms 14592 KB Output is correct
67 Correct 28 ms 14720 KB Output is correct
68 Correct 19 ms 14976 KB Output is correct
69 Correct 24 ms 15052 KB Output is correct
70 Correct 23 ms 14848 KB Output is correct
71 Correct 23 ms 14720 KB Output is correct
72 Correct 48 ms 14976 KB Output is correct
73 Correct 45 ms 14592 KB Output is correct
74 Correct 24 ms 14720 KB Output is correct
75 Correct 25 ms 14848 KB Output is correct
76 Correct 24 ms 14848 KB Output is correct
77 Correct 25 ms 14848 KB Output is correct
78 Correct 26 ms 14720 KB Output is correct
79 Correct 23 ms 14660 KB Output is correct
80 Correct 23 ms 14592 KB Output is correct
81 Correct 28 ms 14976 KB Output is correct
82 Correct 26 ms 14848 KB Output is correct
83 Correct 26 ms 14848 KB Output is correct
84 Correct 25 ms 14720 KB Output is correct
85 Correct 24 ms 14720 KB Output is correct
86 Correct 24 ms 14712 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 14464 KB Output is correct
2 Correct 11 ms 14464 KB Output is correct
3 Correct 11 ms 14464 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 12 ms 14464 KB Output is correct
6 Correct 14 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 12 ms 14496 KB Output is correct
9 Correct 12 ms 14464 KB Output is correct
10 Correct 12 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 12 ms 14464 KB Output is correct
13 Correct 12 ms 14464 KB Output is correct
14 Correct 12 ms 14464 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 13 ms 14464 KB Output is correct
20 Correct 12 ms 14464 KB Output is correct
21 Correct 16 ms 14468 KB Output is correct
22 Correct 12 ms 14464 KB Output is correct
23 Correct 12 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 12 ms 14464 KB Output is correct
26 Correct 11 ms 14464 KB Output is correct
27 Correct 12 ms 14464 KB Output is correct
28 Correct 15 ms 14464 KB Output is correct
29 Correct 12 ms 14464 KB Output is correct
30 Correct 14 ms 14464 KB Output is correct
31 Correct 16 ms 14464 KB Output is correct
32 Correct 12 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 12 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 13 ms 14464 KB Output is correct
39 Correct 12 ms 14464 KB Output is correct
40 Correct 12 ms 14460 KB Output is correct
41 Correct 12 ms 14464 KB Output is correct
42 Correct 12 ms 14464 KB Output is correct
43 Correct 14 ms 14464 KB Output is correct
44 Correct 12 ms 14464 KB Output is correct
45 Correct 14 ms 14592 KB Output is correct
46 Correct 33 ms 14848 KB Output is correct
47 Correct 31 ms 14848 KB Output is correct
48 Correct 32 ms 14848 KB Output is correct
49 Correct 24 ms 15232 KB Output is correct
50 Correct 22 ms 15232 KB Output is correct
51 Correct 21 ms 15232 KB Output is correct
52 Correct 24 ms 14976 KB Output is correct
53 Correct 24 ms 14976 KB Output is correct
54 Correct 24 ms 14976 KB Output is correct
55 Correct 24 ms 14976 KB Output is correct
56 Correct 25 ms 14976 KB Output is correct
57 Correct 46 ms 14848 KB Output is correct
58 Correct 47 ms 14848 KB Output is correct
59 Correct 46 ms 14848 KB Output is correct
60 Correct 47 ms 14848 KB Output is correct
61 Correct 26 ms 14976 KB Output is correct
62 Correct 27 ms 14976 KB Output is correct
63 Correct 26 ms 14976 KB Output is correct
64 Correct 26 ms 14592 KB Output is correct
65 Correct 29 ms 14592 KB Output is correct
66 Correct 30 ms 14592 KB Output is correct
67 Correct 28 ms 14720 KB Output is correct
68 Correct 19 ms 14976 KB Output is correct
69 Correct 24 ms 15052 KB Output is correct
70 Correct 23 ms 14848 KB Output is correct
71 Correct 23 ms 14720 KB Output is correct
72 Correct 48 ms 14976 KB Output is correct
73 Correct 45 ms 14592 KB Output is correct
74 Correct 24 ms 14720 KB Output is correct
75 Correct 25 ms 14848 KB Output is correct
76 Correct 24 ms 14848 KB Output is correct
77 Correct 25 ms 14848 KB Output is correct
78 Correct 26 ms 14720 KB Output is correct
79 Correct 23 ms 14660 KB Output is correct
80 Correct 23 ms 14592 KB Output is correct
81 Correct 28 ms 14976 KB Output is correct
82 Correct 26 ms 14848 KB Output is correct
83 Correct 26 ms 14848 KB Output is correct
84 Correct 25 ms 14720 KB Output is correct
85 Correct 24 ms 14720 KB Output is correct
86 Correct 24 ms 14712 KB Output is correct
87 Correct 69 ms 15480 KB Output is correct
88 Correct 205 ms 17400 KB Output is correct
89 Correct 1061 ms 24472 KB Output is correct
90 Correct 1134 ms 24184 KB Output is correct
91 Correct 966 ms 24184 KB Output is correct
92 Correct 442 ms 33368 KB Output is correct
93 Correct 447 ms 33656 KB Output is correct
94 Correct 445 ms 33400 KB Output is correct
95 Correct 710 ms 28532 KB Output is correct
96 Correct 722 ms 28628 KB Output is correct
97 Correct 680 ms 28696 KB Output is correct
98 Correct 682 ms 28528 KB Output is correct
99 Correct 725 ms 28160 KB Output is correct
100 Execution timed out 2074 ms 24696 KB Time limit exceeded
101 Halted 0 ms 0 KB -