oj.uz

Submission #110154

# Submission time Handle Problem Language Result Execution time Memory
110154 2019-05-09T15:41:10 Z Saboon Construction of Highway (JOI18_construction) C++14
100 / 100
 1506 ms 21104 KB 
#include <bits/stdc++.h>
 
using namespace std;
typedef long long ll;
 
const int maxn = 1e5 + 10;
 
int n, c[maxn], pos[maxn], par[maxn], up[maxn], sz[maxn], st[maxn], Time = 1;
vector<int> t[maxn];
pair<int,int> edge[maxn];
int mxm[4 * maxn], mnm[4 * maxn], lzy[4 * maxn];
 
void propagate(int, int, int);
 
pair<int,int> get(int id, int L, int R, int l, int r, int x){
	if (r <= L or R <= l)
		return {-1, -1};
	if (mxm[id] == x and mnm[id] == x)
		return {-1, -1};
	if (L + 1 == R)
		return {L, mxm[id]};
	propagate(id, L, R);
	int mid = (L + R) >> 1;
	auto it = get(2 * id + 1, mid, R, l, r, x);
	if (it.first != -1)
		return it;
	return get(2 * id + 0, L, mid, l, r, x);
}
 
void change(int id, int L, int R, int l, int r, int x){
	if (L == l and R == r){
		mxm[id] = x;
		mnm[id] = x;
		lzy[id] = x;
		return;
	}
	propagate(id, L, R);
	int mid = (L + R) >> 1;
	if (l < mid)
		change(2 * id + 0, L, mid, l, min(mid, r), x);
	if (mid < r)
		change(2 * id + 1, mid, R, max(l, mid), r, x);
	mxm[id] = max(mxm[2 * id + 0], mxm[2 * id + 1]);
	mnm[id] = min(mnm[2 * id + 0], mnm[2 * id + 1]);
}
 
void propagate(int id, int L, int R){
	if (lzy[id] == 0)
		return;
	int mid = (L + R) >> 1;
	change(2 * id + 0, L, mid, L, mid, lzy[id]);
	change(2 * id + 1, mid, R, mid, R, lzy[id]);
	lzy[id] = 0;
}
 
void change(int v){
	int val = c[v];
	while (v != 0){
		int u = up[v];
		change(1, 1, n + 1, st[u], st[v] + 1, val);
		v = par[u];
	}
}
 
int fen[maxn];
 
int getfen(int idx){
	int ret = 0;
	for (; idx; idx -= idx & -idx)
		ret += fen[idx];
	return ret;
}
 
void add(int idx, int x){
	for (; idx <= n; idx += idx & -idx){
		fen[idx] += x;
		if (x == -1)
			fen[idx] = 0;
	}
}

int vitex[maxn];

ll get(int v){
	ll sum = 0;
	int cnt = 0;
	int tmp = c[v];
	int ptr = 0;
	while (v != 0){
		int u = up[v];
		auto it = get(1, 1, n + 1, st[u], st[v] + 1, tmp);
		if (it.first == -1){
			cnt += st[v] - st[u] + 1;
			v = par[u];
		}
		else{
			cnt += st[v] - it.first;
			sum += 1ll * cnt * getfen(tmp - 1);
			add(tmp, cnt);
			vitex[++ptr] = tmp;
			cnt = 0;
			v = pos[it.first];
			tmp = it.second;
		}
	}
	sum += 1ll * cnt * getfen(tmp - 1);
	while (ptr > 0){
		add(vitex[ptr --], -1);
	}

	return sum;
}
 
bool cmp(int fi, int se){
	return sz[fi] > sz[se];
}
 
void dfs(int v){
	pos[Time] = v;
	st[v] = Time ++;
	sort(t[v].begin(), t[v].end(), cmp);
	bool heavy = 1;
	for (auto u : t[v]){
		up[u] = (heavy == 1 ? up[v] : u);
		heavy = 0;
		dfs(u);
	}
}
 
int dfssz(int v){
	sz[v] = 1;
	for (auto u : t[v])
		sz[v] += dfssz(u);
	return sz[v];
}
 
int main(){
	ios_base::sync_with_stdio(false);
	cin >> n;
	vector<int> v;
	for (int i = 1; i <= n; i++){
		cin >> c[i];
		v.push_back(c[i]);
	}
	sort(v.begin(), v.end());
	v.resize(unique(v.begin(), v.end()) - v.begin());
	for (int i = 1; i <= n; i++)
		c[i] = lower_bound(v.begin(), v.end(), c[i]) - v.begin() + 1;
	for (int i = 1; i <= n - 1; i++){
		int v, u;
		cin >> v >> u;
		edge[i] = {v, u};
		par[u] = v;
		t[v].push_back(u);
	}
	dfssz(1);
	up[1] = 1;
	dfs(1);
	for (int v = 1; v <= n; v++)
		change(1, 1, n + 1, st[v], st[v] + 1, c[v]);
	for (int i = 1; i <= n - 1; i++){
		int v = edge[i].first, u = edge[i].second;
		cout << get(v) << '\n';
		change(u);
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2816 KB Output is correct
2 Correct 4 ms 2688 KB Output is correct
3 Correct 4 ms 2688 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 5 ms 2816 KB Output is correct
6 Correct 6 ms 2816 KB Output is correct
7 Correct 6 ms 2816 KB Output is correct
8 Correct 5 ms 2816 KB Output is correct
9 Correct 5 ms 2788 KB Output is correct
10 Correct 5 ms 2816 KB Output is correct
11 Correct 5 ms 2816 KB Output is correct
12 Correct 6 ms 2816 KB Output is correct
13 Correct 5 ms 2788 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 6 ms 2816 KB Output is correct
16 Correct 6 ms 2816 KB Output is correct
17 Correct 6 ms 2816 KB Output is correct
18 Correct 8 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 5 ms 2816 KB Output is correct
21 Correct 5 ms 2816 KB Output is correct
22 Correct 4 ms 2688 KB Output is correct
23 Correct 6 ms 2816 KB Output is correct
24 Correct 6 ms 2816 KB Output is correct
25 Correct 6 ms 2816 KB Output is correct
26 Correct 5 ms 2816 KB Output is correct
27 Correct 5 ms 2816 KB Output is correct
28 Correct 5 ms 2816 KB Output is correct
29 Correct 5 ms 2816 KB Output is correct
30 Correct 6 ms 2816 KB Output is correct
31 Correct 6 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 5 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 5 ms 2816 KB Output is correct
37 Correct 5 ms 2744 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 5 ms 2816 KB Output is correct
40 Correct 7 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 5 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2816 KB Output is correct
2 Correct 4 ms 2688 KB Output is correct
3 Correct 4 ms 2688 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 5 ms 2816 KB Output is correct
6 Correct 6 ms 2816 KB Output is correct
7 Correct 6 ms 2816 KB Output is correct
8 Correct 5 ms 2816 KB Output is correct
9 Correct 5 ms 2788 KB Output is correct
10 Correct 5 ms 2816 KB Output is correct
11 Correct 5 ms 2816 KB Output is correct
12 Correct 6 ms 2816 KB Output is correct
13 Correct 5 ms 2788 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 6 ms 2816 KB Output is correct
16 Correct 6 ms 2816 KB Output is correct
17 Correct 6 ms 2816 KB Output is correct
18 Correct 8 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 5 ms 2816 KB Output is correct
21 Correct 5 ms 2816 KB Output is correct
22 Correct 4 ms 2688 KB Output is correct
23 Correct 6 ms 2816 KB Output is correct
24 Correct 6 ms 2816 KB Output is correct
25 Correct 6 ms 2816 KB Output is correct
26 Correct 5 ms 2816 KB Output is correct
27 Correct 5 ms 2816 KB Output is correct
28 Correct 5 ms 2816 KB Output is correct
29 Correct 5 ms 2816 KB Output is correct
30 Correct 6 ms 2816 KB Output is correct
31 Correct 6 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 5 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 5 ms 2816 KB Output is correct
37 Correct 5 ms 2744 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 5 ms 2816 KB Output is correct
40 Correct 7 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 5 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct
45 Correct 7 ms 2816 KB Output is correct
46 Correct 16 ms 3116 KB Output is correct
47 Correct 17 ms 3072 KB Output is correct
48 Correct 18 ms 3192 KB Output is correct
49 Correct 11 ms 3328 KB Output is correct
50 Correct 11 ms 3504 KB Output is correct
51 Correct 9 ms 3300 KB Output is correct
52 Correct 9 ms 3200 KB Output is correct
53 Correct 15 ms 3200 KB Output is correct
54 Correct 13 ms 3200 KB Output is correct
55 Correct 13 ms 3200 KB Output is correct
56 Correct 11 ms 3200 KB Output is correct
57 Correct 22 ms 3072 KB Output is correct
58 Correct 22 ms 3072 KB Output is correct
59 Correct 25 ms 3072 KB Output is correct
60 Correct 28 ms 3192 KB Output is correct
61 Correct 14 ms 3200 KB Output is correct
62 Correct 12 ms 3200 KB Output is correct
63 Correct 12 ms 3200 KB Output is correct
64 Correct 15 ms 3072 KB Output is correct
65 Correct 15 ms 3072 KB Output is correct
66 Correct 15 ms 3072 KB Output is correct
67 Correct 19 ms 3072 KB Output is correct
68 Correct 9 ms 3328 KB Output is correct
69 Correct 11 ms 3200 KB Output is correct
70 Correct 12 ms 3200 KB Output is correct
71 Correct 12 ms 3200 KB Output is correct
72 Correct 24 ms 3072 KB Output is correct
73 Correct 25 ms 3072 KB Output is correct
74 Correct 11 ms 3200 KB Output is correct
75 Correct 11 ms 3200 KB Output is correct
76 Correct 13 ms 3200 KB Output is correct
77 Correct 11 ms 3072 KB Output is correct
78 Correct 11 ms 3200 KB Output is correct
79 Correct 11 ms 3072 KB Output is correct
80 Correct 11 ms 3072 KB Output is correct
81 Correct 18 ms 3200 KB Output is correct
82 Correct 17 ms 3200 KB Output is correct
83 Correct 13 ms 3072 KB Output is correct
84 Correct 16 ms 3200 KB Output is correct
85 Correct 14 ms 3072 KB Output is correct
86 Correct 11 ms 3072 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2816 KB Output is correct
2 Correct 4 ms 2688 KB Output is correct
3 Correct 4 ms 2688 KB Output is correct
4 Correct 6 ms 2816 KB Output is correct
5 Correct 5 ms 2816 KB Output is correct
6 Correct 6 ms 2816 KB Output is correct
7 Correct 6 ms 2816 KB Output is correct
8 Correct 5 ms 2816 KB Output is correct
9 Correct 5 ms 2788 KB Output is correct
10 Correct 5 ms 2816 KB Output is correct
11 Correct 5 ms 2816 KB Output is correct
12 Correct 6 ms 2816 KB Output is correct
13 Correct 5 ms 2788 KB Output is correct
14 Correct 6 ms 2816 KB Output is correct
15 Correct 6 ms 2816 KB Output is correct
16 Correct 6 ms 2816 KB Output is correct
17 Correct 6 ms 2816 KB Output is correct
18 Correct 8 ms 2816 KB Output is correct
19 Correct 6 ms 2816 KB Output is correct
20 Correct 5 ms 2816 KB Output is correct
21 Correct 5 ms 2816 KB Output is correct
22 Correct 4 ms 2688 KB Output is correct
23 Correct 6 ms 2816 KB Output is correct
24 Correct 6 ms 2816 KB Output is correct
25 Correct 6 ms 2816 KB Output is correct
26 Correct 5 ms 2816 KB Output is correct
27 Correct 5 ms 2816 KB Output is correct
28 Correct 5 ms 2816 KB Output is correct
29 Correct 5 ms 2816 KB Output is correct
30 Correct 6 ms 2816 KB Output is correct
31 Correct 6 ms 2816 KB Output is correct
32 Correct 6 ms 2816 KB Output is correct
33 Correct 6 ms 2816 KB Output is correct
34 Correct 5 ms 2816 KB Output is correct
35 Correct 7 ms 2816 KB Output is correct
36 Correct 5 ms 2816 KB Output is correct
37 Correct 5 ms 2744 KB Output is correct
38 Correct 6 ms 2816 KB Output is correct
39 Correct 5 ms 2816 KB Output is correct
40 Correct 7 ms 2816 KB Output is correct
41 Correct 6 ms 2816 KB Output is correct
42 Correct 5 ms 2816 KB Output is correct
43 Correct 7 ms 2816 KB Output is correct
44 Correct 6 ms 2816 KB Output is correct
45 Correct 7 ms 2816 KB Output is correct
46 Correct 16 ms 3116 KB Output is correct
47 Correct 17 ms 3072 KB Output is correct
48 Correct 18 ms 3192 KB Output is correct
49 Correct 11 ms 3328 KB Output is correct
50 Correct 11 ms 3504 KB Output is correct
51 Correct 9 ms 3300 KB Output is correct
52 Correct 9 ms 3200 KB Output is correct
53 Correct 15 ms 3200 KB Output is correct
54 Correct 13 ms 3200 KB Output is correct
55 Correct 13 ms 3200 KB Output is correct
56 Correct 11 ms 3200 KB Output is correct
57 Correct 22 ms 3072 KB Output is correct
58 Correct 22 ms 3072 KB Output is correct
59 Correct 25 ms 3072 KB Output is correct
60 Correct 28 ms 3192 KB Output is correct
61 Correct 14 ms 3200 KB Output is correct
62 Correct 12 ms 3200 KB Output is correct
63 Correct 12 ms 3200 KB Output is correct
64 Correct 15 ms 3072 KB Output is correct
65 Correct 15 ms 3072 KB Output is correct
66 Correct 15 ms 3072 KB Output is correct
67 Correct 19 ms 3072 KB Output is correct
68 Correct 9 ms 3328 KB Output is correct
69 Correct 11 ms 3200 KB Output is correct
70 Correct 12 ms 3200 KB Output is correct
71 Correct 12 ms 3200 KB Output is correct
72 Correct 24 ms 3072 KB Output is correct
73 Correct 25 ms 3072 KB Output is correct
74 Correct 11 ms 3200 KB Output is correct
75 Correct 11 ms 3200 KB Output is correct
76 Correct 13 ms 3200 KB Output is correct
77 Correct 11 ms 3072 KB Output is correct
78 Correct 11 ms 3200 KB Output is correct
79 Correct 11 ms 3072 KB Output is correct
80 Correct 11 ms 3072 KB Output is correct
81 Correct 18 ms 3200 KB Output is correct
82 Correct 17 ms 3200 KB Output is correct
83 Correct 13 ms 3072 KB Output is correct
84 Correct 16 ms 3200 KB Output is correct
85 Correct 14 ms 3072 KB Output is correct
86 Correct 11 ms 3072 KB Output is correct
87 Correct 50 ms 3712 KB Output is correct
88 Correct 137 ms 5240 KB Output is correct
89 Correct 683 ms 11636 KB Output is correct
90 Correct 730 ms 13796 KB Output is correct
91 Correct 691 ms 13812 KB Output is correct
92 Correct 211 ms 21104 KB Output is correct
93 Correct 227 ms 21032 KB Output is correct
94 Correct 220 ms 20984 KB Output is correct
95 Correct 317 ms 16500 KB Output is correct
96 Correct 282 ms 16976 KB Output is correct
97 Correct 272 ms 16884 KB Output is correct
98 Correct 277 ms 16756 KB Output is correct
99 Correct 270 ms 16892 KB Output is correct
100 Correct 1272 ms 13968 KB Output is correct
101 Correct 1383 ms 14196 KB Output is correct
102 Correct 1506 ms 14172 KB Output is correct
103 Correct 1460 ms 14260 KB Output is correct
104 Correct 430 ms 16832 KB Output is correct
105 Correct 348 ms 16756 KB Output is correct
106 Correct 373 ms 16756 KB Output is correct
107 Correct 556 ms 12660 KB Output is correct
108 Correct 666 ms 12668 KB Output is correct
109 Correct 727 ms 13044 KB Output is correct
110 Correct 195 ms 20340 KB Output is correct
111 Correct 288 ms 16472 KB Output is correct
112 Correct 276 ms 15996 KB Output is correct
113 Correct 282 ms 15728 KB Output is correct
114 Correct 1302 ms 14048 KB Output is correct
115 Correct 1161 ms 13208 KB Output is correct
116 Correct 308 ms 15860 KB Output is correct
117 Correct 306 ms 14836 KB Output is correct
118 Correct 300 ms 14324 KB Output is correct
119 Correct 348 ms 14192 KB Output is correct
120 Correct 258 ms 14196 KB Output is correct
121 Correct 283 ms 13812 KB Output is correct
122 Correct 379 ms 13428 KB Output is correct
123 Correct 402 ms 15116 KB Output is correct
124 Correct 434 ms 14452 KB Output is correct
125 Correct 448 ms 14196 KB Output is correct
126 Correct 432 ms 14324 KB Output is correct
127 Correct 367 ms 13784 KB Output is correct
128 Correct 419 ms 13588 KB Output is correct