#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e5 + 2;
const int inf = 1e9;
int a[N], b[N], c[N], inv[N], n;
vector<int> g[N];
int par[N][17], in[N], out[N], dep[N], tsz;
int st[4 * N];
void Add(int node, int l, int r, int p, int o) {
if (l == r) {
st[node] = o;
return;
}
int mid = l + r >> 1;
if (p <= mid) Add(2 * node, l, mid, p, o);
else Add(2 * node + 1, mid + 1, r, p, o);
st[node] = max(st[2 * node], st[2 * node + 1]);
}
int Get(int node, int l, int r, int ql, int qr) {
if (r < ql || qr < l) return 0;
if (ql <= l && r <= qr) return st[node];
int mid = l + r >> 1;
return max(Get(2 * node, l, mid, ql, qr), Get(2 * node + 1, mid + 1, r, ql, qr));
}
void Dfs(int s, int e) {
in[s] = ++tsz;
par[s][0] = e;
for (int i = 1; i < 17; i++) par[s][i] = par[par[s][i - 1]][i - 1];
Add(1, 1, n, in[s], inv[s]);
for (int u : g[s]) {
dep[u] = dep[s] + 1;
Dfs(u, s);
}
out[s] = tsz;
}
bool Ancestor(int u, int v) {
return in[u] <= in[v] && out[v] <= out[u];
}
int Lca(int u, int v) {
if (Ancestor(u, v)) return u;
if (Ancestor(v, u)) return v;
for (int i = 16; i >= 0; i--) {
if (par[u][i] && !Ancestor(par[u][i], v)) u = par[u][i];
}
return par[u][0];
}
ll sol;
struct Fenwick {
ll bit[N];
void Add(int x, int y) {
for (; x < N; x += x & (-x)) bit[x] += y;
}
ll Get(int x) {
ll ans = 0;
for (; x > 0; x -= x & (-x)) ans += bit[x];
return ans;
}
}f;
void Resi(int s, int x) {
int o = Get(1, 1, n, in[s], out[s]);
int y = b[o];
int lca = Lca(x, y);
ll k = dep[lca] - dep[s] + 1;
sol += (ll)(k * (f.Get(N - 1) - f.Get(c[y])));
if (lca == x) return;
f.Add(c[y], k);
int l = 0, r = g[lca].size() - 1, gde = -1;
while (l <= r) {
int mid = l + r >> 1;
if (in[g[lca][mid]] <= in[x]) {
l = mid + 1;
gde = mid;
}
else r = mid - 1;
}
Resi(g[lca][gde], x);
f.Add(c[y], -k);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n;
vector<int> all;
for (int i = 1; i <= n; i++) {
cin >> c[i];
all.push_back(c[i]);
}
sort(all.begin(), all.end());
for (int i = 1; i <= n; i++) {
c[i] = (int)(lower_bound(all.begin(), all.end(), c[i]) - all.begin()) + 1;
}
for (int i = 1; i < n; i++) {
cin >> a[i] >> b[i];
inv[b[i]] = i;
g[a[i]].push_back(b[i]);
}
Dfs(1, 0);
vector<int> ans;
for (int i = n - 1; i >= 1; i--) {
Add(1, 1, n, in[b[i]], 0);
sol = 0;
if (a[i] == 1) {
ans.push_back(0);
continue;
}
Resi(1, a[i]);
ans.push_back(sol);
}
for (int i = n - 2; i >= 0; i--) cout << ans[i] << en;
return 0;
}
Compilation message
construction.cpp: In function 'void Add(int, int, int, int, int)':
construction.cpp:20:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
20 | int mid = l + r >> 1;
| ~~^~~
construction.cpp: In function 'int Get(int, int, int, int, int)':
construction.cpp:28:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
28 | int mid = l + r >> 1;
| ~~^~~
construction.cpp: In function 'void Resi(int, int)':
construction.cpp:75:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
75 | int mid = l + r >> 1;
| ~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2684 KB |
Output is correct |
4 |
Correct |
3 ms |
2688 KB |
Output is correct |
5 |
Correct |
3 ms |
2820 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
2 ms |
2772 KB |
Output is correct |
8 |
Correct |
2 ms |
2772 KB |
Output is correct |
9 |
Correct |
2 ms |
2772 KB |
Output is correct |
10 |
Correct |
2 ms |
2772 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2820 KB |
Output is correct |
13 |
Correct |
2 ms |
2772 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
3 ms |
2772 KB |
Output is correct |
16 |
Correct |
4 ms |
2772 KB |
Output is correct |
17 |
Correct |
4 ms |
2828 KB |
Output is correct |
18 |
Correct |
3 ms |
2772 KB |
Output is correct |
19 |
Correct |
3 ms |
2820 KB |
Output is correct |
20 |
Correct |
2 ms |
2772 KB |
Output is correct |
21 |
Correct |
2 ms |
2824 KB |
Output is correct |
22 |
Correct |
2 ms |
2772 KB |
Output is correct |
23 |
Correct |
3 ms |
2772 KB |
Output is correct |
24 |
Correct |
3 ms |
2772 KB |
Output is correct |
25 |
Correct |
2 ms |
2820 KB |
Output is correct |
26 |
Correct |
2 ms |
2772 KB |
Output is correct |
27 |
Correct |
2 ms |
2820 KB |
Output is correct |
28 |
Correct |
2 ms |
2772 KB |
Output is correct |
29 |
Correct |
2 ms |
2820 KB |
Output is correct |
30 |
Correct |
2 ms |
2772 KB |
Output is correct |
31 |
Correct |
2 ms |
2816 KB |
Output is correct |
32 |
Correct |
2 ms |
2772 KB |
Output is correct |
33 |
Correct |
2 ms |
2772 KB |
Output is correct |
34 |
Correct |
2 ms |
2772 KB |
Output is correct |
35 |
Correct |
2 ms |
2772 KB |
Output is correct |
36 |
Correct |
2 ms |
2772 KB |
Output is correct |
37 |
Correct |
3 ms |
2772 KB |
Output is correct |
38 |
Correct |
3 ms |
2772 KB |
Output is correct |
39 |
Correct |
2 ms |
2772 KB |
Output is correct |
40 |
Correct |
2 ms |
2772 KB |
Output is correct |
41 |
Correct |
2 ms |
2824 KB |
Output is correct |
42 |
Correct |
2 ms |
2772 KB |
Output is correct |
43 |
Correct |
2 ms |
2772 KB |
Output is correct |
44 |
Correct |
2 ms |
2772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2684 KB |
Output is correct |
4 |
Correct |
3 ms |
2688 KB |
Output is correct |
5 |
Correct |
3 ms |
2820 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
2 ms |
2772 KB |
Output is correct |
8 |
Correct |
2 ms |
2772 KB |
Output is correct |
9 |
Correct |
2 ms |
2772 KB |
Output is correct |
10 |
Correct |
2 ms |
2772 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2820 KB |
Output is correct |
13 |
Correct |
2 ms |
2772 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
3 ms |
2772 KB |
Output is correct |
16 |
Correct |
4 ms |
2772 KB |
Output is correct |
17 |
Correct |
4 ms |
2828 KB |
Output is correct |
18 |
Correct |
3 ms |
2772 KB |
Output is correct |
19 |
Correct |
3 ms |
2820 KB |
Output is correct |
20 |
Correct |
2 ms |
2772 KB |
Output is correct |
21 |
Correct |
2 ms |
2824 KB |
Output is correct |
22 |
Correct |
2 ms |
2772 KB |
Output is correct |
23 |
Correct |
3 ms |
2772 KB |
Output is correct |
24 |
Correct |
3 ms |
2772 KB |
Output is correct |
25 |
Correct |
2 ms |
2820 KB |
Output is correct |
26 |
Correct |
2 ms |
2772 KB |
Output is correct |
27 |
Correct |
2 ms |
2820 KB |
Output is correct |
28 |
Correct |
2 ms |
2772 KB |
Output is correct |
29 |
Correct |
2 ms |
2820 KB |
Output is correct |
30 |
Correct |
2 ms |
2772 KB |
Output is correct |
31 |
Correct |
2 ms |
2816 KB |
Output is correct |
32 |
Correct |
2 ms |
2772 KB |
Output is correct |
33 |
Correct |
2 ms |
2772 KB |
Output is correct |
34 |
Correct |
2 ms |
2772 KB |
Output is correct |
35 |
Correct |
2 ms |
2772 KB |
Output is correct |
36 |
Correct |
2 ms |
2772 KB |
Output is correct |
37 |
Correct |
3 ms |
2772 KB |
Output is correct |
38 |
Correct |
3 ms |
2772 KB |
Output is correct |
39 |
Correct |
2 ms |
2772 KB |
Output is correct |
40 |
Correct |
2 ms |
2772 KB |
Output is correct |
41 |
Correct |
2 ms |
2824 KB |
Output is correct |
42 |
Correct |
2 ms |
2772 KB |
Output is correct |
43 |
Correct |
2 ms |
2772 KB |
Output is correct |
44 |
Correct |
2 ms |
2772 KB |
Output is correct |
45 |
Correct |
3 ms |
2900 KB |
Output is correct |
46 |
Correct |
9 ms |
3328 KB |
Output is correct |
47 |
Correct |
9 ms |
3284 KB |
Output is correct |
48 |
Correct |
11 ms |
3284 KB |
Output is correct |
49 |
Correct |
5 ms |
3480 KB |
Output is correct |
50 |
Correct |
5 ms |
3540 KB |
Output is correct |
51 |
Correct |
6 ms |
3540 KB |
Output is correct |
52 |
Correct |
6 ms |
3412 KB |
Output is correct |
53 |
Correct |
6 ms |
3412 KB |
Output is correct |
54 |
Correct |
7 ms |
3412 KB |
Output is correct |
55 |
Correct |
6 ms |
3412 KB |
Output is correct |
56 |
Correct |
5 ms |
3412 KB |
Output is correct |
57 |
Correct |
13 ms |
3300 KB |
Output is correct |
58 |
Correct |
14 ms |
3372 KB |
Output is correct |
59 |
Correct |
14 ms |
3284 KB |
Output is correct |
60 |
Correct |
14 ms |
3284 KB |
Output is correct |
61 |
Correct |
6 ms |
3412 KB |
Output is correct |
62 |
Correct |
6 ms |
3412 KB |
Output is correct |
63 |
Correct |
6 ms |
3412 KB |
Output is correct |
64 |
Correct |
8 ms |
3284 KB |
Output is correct |
65 |
Correct |
8 ms |
3336 KB |
Output is correct |
66 |
Correct |
8 ms |
3284 KB |
Output is correct |
67 |
Correct |
10 ms |
3260 KB |
Output is correct |
68 |
Correct |
5 ms |
3540 KB |
Output is correct |
69 |
Correct |
6 ms |
3412 KB |
Output is correct |
70 |
Correct |
5 ms |
3412 KB |
Output is correct |
71 |
Correct |
6 ms |
3412 KB |
Output is correct |
72 |
Correct |
14 ms |
3284 KB |
Output is correct |
73 |
Correct |
15 ms |
3340 KB |
Output is correct |
74 |
Correct |
7 ms |
3412 KB |
Output is correct |
75 |
Correct |
6 ms |
3392 KB |
Output is correct |
76 |
Correct |
7 ms |
3276 KB |
Output is correct |
77 |
Correct |
6 ms |
3284 KB |
Output is correct |
78 |
Correct |
5 ms |
3284 KB |
Output is correct |
79 |
Correct |
5 ms |
3332 KB |
Output is correct |
80 |
Correct |
5 ms |
3332 KB |
Output is correct |
81 |
Correct |
6 ms |
3416 KB |
Output is correct |
82 |
Correct |
6 ms |
3284 KB |
Output is correct |
83 |
Correct |
6 ms |
3284 KB |
Output is correct |
84 |
Correct |
6 ms |
3284 KB |
Output is correct |
85 |
Correct |
6 ms |
3384 KB |
Output is correct |
86 |
Correct |
6 ms |
3332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2684 KB |
Output is correct |
4 |
Correct |
3 ms |
2688 KB |
Output is correct |
5 |
Correct |
3 ms |
2820 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
2 ms |
2772 KB |
Output is correct |
8 |
Correct |
2 ms |
2772 KB |
Output is correct |
9 |
Correct |
2 ms |
2772 KB |
Output is correct |
10 |
Correct |
2 ms |
2772 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2820 KB |
Output is correct |
13 |
Correct |
2 ms |
2772 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
3 ms |
2772 KB |
Output is correct |
16 |
Correct |
4 ms |
2772 KB |
Output is correct |
17 |
Correct |
4 ms |
2828 KB |
Output is correct |
18 |
Correct |
3 ms |
2772 KB |
Output is correct |
19 |
Correct |
3 ms |
2820 KB |
Output is correct |
20 |
Correct |
2 ms |
2772 KB |
Output is correct |
21 |
Correct |
2 ms |
2824 KB |
Output is correct |
22 |
Correct |
2 ms |
2772 KB |
Output is correct |
23 |
Correct |
3 ms |
2772 KB |
Output is correct |
24 |
Correct |
3 ms |
2772 KB |
Output is correct |
25 |
Correct |
2 ms |
2820 KB |
Output is correct |
26 |
Correct |
2 ms |
2772 KB |
Output is correct |
27 |
Correct |
2 ms |
2820 KB |
Output is correct |
28 |
Correct |
2 ms |
2772 KB |
Output is correct |
29 |
Correct |
2 ms |
2820 KB |
Output is correct |
30 |
Correct |
2 ms |
2772 KB |
Output is correct |
31 |
Correct |
2 ms |
2816 KB |
Output is correct |
32 |
Correct |
2 ms |
2772 KB |
Output is correct |
33 |
Correct |
2 ms |
2772 KB |
Output is correct |
34 |
Correct |
2 ms |
2772 KB |
Output is correct |
35 |
Correct |
2 ms |
2772 KB |
Output is correct |
36 |
Correct |
2 ms |
2772 KB |
Output is correct |
37 |
Correct |
3 ms |
2772 KB |
Output is correct |
38 |
Correct |
3 ms |
2772 KB |
Output is correct |
39 |
Correct |
2 ms |
2772 KB |
Output is correct |
40 |
Correct |
2 ms |
2772 KB |
Output is correct |
41 |
Correct |
2 ms |
2824 KB |
Output is correct |
42 |
Correct |
2 ms |
2772 KB |
Output is correct |
43 |
Correct |
2 ms |
2772 KB |
Output is correct |
44 |
Correct |
2 ms |
2772 KB |
Output is correct |
45 |
Correct |
3 ms |
2900 KB |
Output is correct |
46 |
Correct |
9 ms |
3328 KB |
Output is correct |
47 |
Correct |
9 ms |
3284 KB |
Output is correct |
48 |
Correct |
11 ms |
3284 KB |
Output is correct |
49 |
Correct |
5 ms |
3480 KB |
Output is correct |
50 |
Correct |
5 ms |
3540 KB |
Output is correct |
51 |
Correct |
6 ms |
3540 KB |
Output is correct |
52 |
Correct |
6 ms |
3412 KB |
Output is correct |
53 |
Correct |
6 ms |
3412 KB |
Output is correct |
54 |
Correct |
7 ms |
3412 KB |
Output is correct |
55 |
Correct |
6 ms |
3412 KB |
Output is correct |
56 |
Correct |
5 ms |
3412 KB |
Output is correct |
57 |
Correct |
13 ms |
3300 KB |
Output is correct |
58 |
Correct |
14 ms |
3372 KB |
Output is correct |
59 |
Correct |
14 ms |
3284 KB |
Output is correct |
60 |
Correct |
14 ms |
3284 KB |
Output is correct |
61 |
Correct |
6 ms |
3412 KB |
Output is correct |
62 |
Correct |
6 ms |
3412 KB |
Output is correct |
63 |
Correct |
6 ms |
3412 KB |
Output is correct |
64 |
Correct |
8 ms |
3284 KB |
Output is correct |
65 |
Correct |
8 ms |
3336 KB |
Output is correct |
66 |
Correct |
8 ms |
3284 KB |
Output is correct |
67 |
Correct |
10 ms |
3260 KB |
Output is correct |
68 |
Correct |
5 ms |
3540 KB |
Output is correct |
69 |
Correct |
6 ms |
3412 KB |
Output is correct |
70 |
Correct |
5 ms |
3412 KB |
Output is correct |
71 |
Correct |
6 ms |
3412 KB |
Output is correct |
72 |
Correct |
14 ms |
3284 KB |
Output is correct |
73 |
Correct |
15 ms |
3340 KB |
Output is correct |
74 |
Correct |
7 ms |
3412 KB |
Output is correct |
75 |
Correct |
6 ms |
3392 KB |
Output is correct |
76 |
Correct |
7 ms |
3276 KB |
Output is correct |
77 |
Correct |
6 ms |
3284 KB |
Output is correct |
78 |
Correct |
5 ms |
3284 KB |
Output is correct |
79 |
Correct |
5 ms |
3332 KB |
Output is correct |
80 |
Correct |
5 ms |
3332 KB |
Output is correct |
81 |
Correct |
6 ms |
3416 KB |
Output is correct |
82 |
Correct |
6 ms |
3284 KB |
Output is correct |
83 |
Correct |
6 ms |
3284 KB |
Output is correct |
84 |
Correct |
6 ms |
3284 KB |
Output is correct |
85 |
Correct |
6 ms |
3384 KB |
Output is correct |
86 |
Correct |
6 ms |
3332 KB |
Output is correct |
87 |
Correct |
22 ms |
4288 KB |
Output is correct |
88 |
Correct |
79 ms |
7496 KB |
Output is correct |
89 |
Correct |
408 ms |
18696 KB |
Output is correct |
90 |
Correct |
387 ms |
18768 KB |
Output is correct |
91 |
Correct |
360 ms |
18816 KB |
Output is correct |
92 |
Correct |
159 ms |
24124 KB |
Output is correct |
93 |
Correct |
140 ms |
24172 KB |
Output is correct |
94 |
Correct |
137 ms |
24144 KB |
Output is correct |
95 |
Correct |
163 ms |
21064 KB |
Output is correct |
96 |
Correct |
168 ms |
21832 KB |
Output is correct |
97 |
Correct |
170 ms |
21772 KB |
Output is correct |
98 |
Correct |
170 ms |
21812 KB |
Output is correct |
99 |
Correct |
173 ms |
21112 KB |
Output is correct |
100 |
Correct |
667 ms |
18944 KB |
Output is correct |
101 |
Correct |
749 ms |
19232 KB |
Output is correct |
102 |
Correct |
670 ms |
19392 KB |
Output is correct |
103 |
Correct |
712 ms |
19344 KB |
Output is correct |
104 |
Correct |
224 ms |
21188 KB |
Output is correct |
105 |
Correct |
240 ms |
21132 KB |
Output is correct |
106 |
Correct |
223 ms |
21064 KB |
Output is correct |
107 |
Correct |
327 ms |
17304 KB |
Output is correct |
108 |
Correct |
344 ms |
17984 KB |
Output is correct |
109 |
Correct |
365 ms |
18480 KB |
Output is correct |
110 |
Correct |
124 ms |
23584 KB |
Output is correct |
111 |
Correct |
172 ms |
20956 KB |
Output is correct |
112 |
Correct |
162 ms |
21188 KB |
Output is correct |
113 |
Correct |
153 ms |
20544 KB |
Output is correct |
114 |
Correct |
650 ms |
19108 KB |
Output is correct |
115 |
Correct |
667 ms |
18724 KB |
Output is correct |
116 |
Correct |
201 ms |
20620 KB |
Output is correct |
117 |
Correct |
172 ms |
19640 KB |
Output is correct |
118 |
Correct |
163 ms |
19232 KB |
Output is correct |
119 |
Correct |
144 ms |
18924 KB |
Output is correct |
120 |
Correct |
154 ms |
19228 KB |
Output is correct |
121 |
Correct |
142 ms |
18840 KB |
Output is correct |
122 |
Correct |
153 ms |
18684 KB |
Output is correct |
123 |
Correct |
237 ms |
19716 KB |
Output is correct |
124 |
Correct |
245 ms |
19292 KB |
Output is correct |
125 |
Correct |
223 ms |
19084 KB |
Output is correct |
126 |
Correct |
231 ms |
19340 KB |
Output is correct |
127 |
Correct |
224 ms |
18972 KB |
Output is correct |
128 |
Correct |
219 ms |
18744 KB |
Output is correct |