//https://oj.uz/problem/view/JOI18_construction
#include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define FORD(i, a, b) for (int i = (a); i >= (b); --i)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define DEBUG(x) { cerr << #x << '=' << x << endl; }
#define Arr(a, l, r) { cerr << #a << " = {"; FOR(_, l, r) cerr << ' ' << a[_]; cerr << "}\n"; }
#define N 100100
#define pp pair<int, int>
#define endl '\n'
#define IO ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define taskname ""
#define bit(S, i) (((S) >> (i)) & 1)
using namespace std;
int n, u[N], v[N], p[N], d[N], c[N], nChild[N], head[N];
vector<int> e[N];
void dfs(int u) {
nChild[u] = 1;
for (int v : e[u]) {
p[v] = u;
d[v] = d[u] + 1;
dfs(v);
nChild[u] += nChild[v];
}
}
void hld(int u) {
if (head[u] == 0) head[u] = u;
int mx = 0, special = -1;
for (int v : e[u]) {
if (mx < nChild[v]) {
special = v; mx = nChild[v];
}
}
for (int v : e[u]) {
if (v == special) head[v] = head[u];
else head[v] = v;
hld(v);
}
}
long long BIT[N];
long long GetBIT(int u) {
long long ans = 0;
for (; u > 0; u -= u & -u) ans += BIT[u];
return ans;
}
void UpBIT(int u, long long val) {
for (; u <= n; u += u & -u) BIT[u] += val;
}
struct Data {
int depth, val, cnt;
};
deque<Data> deq[N];
long long Query(int u) {
long long ans = 0;
vector<pp> history;
while (u) {
int id = head[u];
vector<Data> temp;
int depth = d[u];
while (!deq[id].empty() && deq[id].back().depth < depth) {
temp.push_back(deq[id].back());
deq[id].pop_back();
}
if (!deq[id].empty()) {
Data t = deq[id].back(); deq[id].pop_back();
int newCnt = t.depth - depth;
t.cnt -= newCnt;
temp.push_back(t);
t.cnt = newCnt;
if (t.cnt) deq[id].push_back(t);
}
while (!temp.empty()) {
Data t = temp.back(); temp.pop_back();
ans += 1ll * t.cnt * GetBIT(t.val - 1);
UpBIT(t.val, t.cnt);
history.push_back(pp(t.val, t.cnt));
}
u = p[head[u]];
}
for (pp x : history) UpBIT(x.first, -x.second);
return ans;
}
void Update(int u) {
Data x;
x.val = c[u];
while (u) {
int id = head[u];
x.depth = d[u];
x.cnt = d[u] - d[p[head[u]]];
// DEBUG(deq[id].size());
deq[id].push_back(x);
u = p[head[u]];
}
}
int ranking[N];
int main() {
#ifdef NERO
freopen("test.inp","r",stdin);
freopen("test.out","w",stdout);
double stime = clock();
#else
//freopen(taskname".inp","r",stdin);
//freopen(taskname".out","w",stdout);
#endif //NERO
IO;
cin >> n;
FOR(i, 1, n) cin >> c[i];
FOR(i, 1, n) ranking[i] = c[i];
sort(ranking + 1, ranking + n + 1);
FOR(i, 1, n) {
c[i] = lower_bound(ranking + 1, ranking + n + 1, c[i]) - ranking;
}
FOR(i, 2, n) {
cin >> u[i] >> v[i];
e[u[i]].push_back(v[i]);
}
d[1] = 1;
dfs(1);
hld(1);
FOR(i, 2, n) {
cout << Query(u[i]) << '\n';
Update(v[i]);
}
#ifdef NERO
double etime = clock();
cerr << "Execution time: " << (etime - stime) / CLOCKS_PER_SEC * 1000 << " ms.\n";
#endif // NERO
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
68600 KB |
Output is correct |
2 |
Correct |
64 ms |
68600 KB |
Output is correct |
3 |
Correct |
62 ms |
68804 KB |
Output is correct |
4 |
Correct |
63 ms |
68804 KB |
Output is correct |
5 |
Correct |
70 ms |
68808 KB |
Output is correct |
6 |
Correct |
65 ms |
68880 KB |
Output is correct |
7 |
Correct |
63 ms |
69036 KB |
Output is correct |
8 |
Correct |
62 ms |
69036 KB |
Output is correct |
9 |
Correct |
61 ms |
69056 KB |
Output is correct |
10 |
Correct |
62 ms |
69084 KB |
Output is correct |
11 |
Correct |
64 ms |
69112 KB |
Output is correct |
12 |
Correct |
62 ms |
69284 KB |
Output is correct |
13 |
Correct |
61 ms |
69284 KB |
Output is correct |
14 |
Correct |
61 ms |
69284 KB |
Output is correct |
15 |
Correct |
62 ms |
69284 KB |
Output is correct |
16 |
Correct |
60 ms |
69284 KB |
Output is correct |
17 |
Correct |
63 ms |
69284 KB |
Output is correct |
18 |
Correct |
61 ms |
69284 KB |
Output is correct |
19 |
Correct |
64 ms |
69284 KB |
Output is correct |
20 |
Correct |
69 ms |
69284 KB |
Output is correct |
21 |
Correct |
63 ms |
69284 KB |
Output is correct |
22 |
Correct |
63 ms |
69284 KB |
Output is correct |
23 |
Correct |
62 ms |
69284 KB |
Output is correct |
24 |
Correct |
61 ms |
69284 KB |
Output is correct |
25 |
Correct |
62 ms |
69284 KB |
Output is correct |
26 |
Correct |
62 ms |
69284 KB |
Output is correct |
27 |
Correct |
61 ms |
69284 KB |
Output is correct |
28 |
Correct |
62 ms |
69292 KB |
Output is correct |
29 |
Correct |
62 ms |
69404 KB |
Output is correct |
30 |
Correct |
62 ms |
69404 KB |
Output is correct |
31 |
Correct |
64 ms |
69404 KB |
Output is correct |
32 |
Correct |
71 ms |
69404 KB |
Output is correct |
33 |
Correct |
63 ms |
69420 KB |
Output is correct |
34 |
Correct |
62 ms |
69432 KB |
Output is correct |
35 |
Correct |
73 ms |
69432 KB |
Output is correct |
36 |
Correct |
64 ms |
69484 KB |
Output is correct |
37 |
Correct |
63 ms |
69484 KB |
Output is correct |
38 |
Correct |
62 ms |
69484 KB |
Output is correct |
39 |
Correct |
66 ms |
69512 KB |
Output is correct |
40 |
Correct |
64 ms |
69512 KB |
Output is correct |
41 |
Correct |
61 ms |
69512 KB |
Output is correct |
42 |
Correct |
62 ms |
69512 KB |
Output is correct |
43 |
Correct |
64 ms |
69544 KB |
Output is correct |
44 |
Correct |
62 ms |
69544 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
68600 KB |
Output is correct |
2 |
Correct |
64 ms |
68600 KB |
Output is correct |
3 |
Correct |
62 ms |
68804 KB |
Output is correct |
4 |
Correct |
63 ms |
68804 KB |
Output is correct |
5 |
Correct |
70 ms |
68808 KB |
Output is correct |
6 |
Correct |
65 ms |
68880 KB |
Output is correct |
7 |
Correct |
63 ms |
69036 KB |
Output is correct |
8 |
Correct |
62 ms |
69036 KB |
Output is correct |
9 |
Correct |
61 ms |
69056 KB |
Output is correct |
10 |
Correct |
62 ms |
69084 KB |
Output is correct |
11 |
Correct |
64 ms |
69112 KB |
Output is correct |
12 |
Correct |
62 ms |
69284 KB |
Output is correct |
13 |
Correct |
61 ms |
69284 KB |
Output is correct |
14 |
Correct |
61 ms |
69284 KB |
Output is correct |
15 |
Correct |
62 ms |
69284 KB |
Output is correct |
16 |
Correct |
60 ms |
69284 KB |
Output is correct |
17 |
Correct |
63 ms |
69284 KB |
Output is correct |
18 |
Correct |
61 ms |
69284 KB |
Output is correct |
19 |
Correct |
64 ms |
69284 KB |
Output is correct |
20 |
Correct |
69 ms |
69284 KB |
Output is correct |
21 |
Correct |
63 ms |
69284 KB |
Output is correct |
22 |
Correct |
63 ms |
69284 KB |
Output is correct |
23 |
Correct |
62 ms |
69284 KB |
Output is correct |
24 |
Correct |
61 ms |
69284 KB |
Output is correct |
25 |
Correct |
62 ms |
69284 KB |
Output is correct |
26 |
Correct |
62 ms |
69284 KB |
Output is correct |
27 |
Correct |
61 ms |
69284 KB |
Output is correct |
28 |
Correct |
62 ms |
69292 KB |
Output is correct |
29 |
Correct |
62 ms |
69404 KB |
Output is correct |
30 |
Correct |
62 ms |
69404 KB |
Output is correct |
31 |
Correct |
64 ms |
69404 KB |
Output is correct |
32 |
Correct |
71 ms |
69404 KB |
Output is correct |
33 |
Correct |
63 ms |
69420 KB |
Output is correct |
34 |
Correct |
62 ms |
69432 KB |
Output is correct |
35 |
Correct |
73 ms |
69432 KB |
Output is correct |
36 |
Correct |
64 ms |
69484 KB |
Output is correct |
37 |
Correct |
63 ms |
69484 KB |
Output is correct |
38 |
Correct |
62 ms |
69484 KB |
Output is correct |
39 |
Correct |
66 ms |
69512 KB |
Output is correct |
40 |
Correct |
64 ms |
69512 KB |
Output is correct |
41 |
Correct |
61 ms |
69512 KB |
Output is correct |
42 |
Correct |
62 ms |
69512 KB |
Output is correct |
43 |
Correct |
64 ms |
69544 KB |
Output is correct |
44 |
Correct |
62 ms |
69544 KB |
Output is correct |
45 |
Correct |
63 ms |
69596 KB |
Output is correct |
46 |
Correct |
68 ms |
69740 KB |
Output is correct |
47 |
Correct |
72 ms |
69836 KB |
Output is correct |
48 |
Correct |
69 ms |
69892 KB |
Output is correct |
49 |
Correct |
65 ms |
70224 KB |
Output is correct |
50 |
Correct |
66 ms |
70300 KB |
Output is correct |
51 |
Correct |
66 ms |
70376 KB |
Output is correct |
52 |
Correct |
70 ms |
70456 KB |
Output is correct |
53 |
Correct |
76 ms |
70456 KB |
Output is correct |
54 |
Correct |
72 ms |
70512 KB |
Output is correct |
55 |
Correct |
73 ms |
70532 KB |
Output is correct |
56 |
Correct |
66 ms |
70656 KB |
Output is correct |
57 |
Correct |
81 ms |
70656 KB |
Output is correct |
58 |
Correct |
73 ms |
70656 KB |
Output is correct |
59 |
Correct |
80 ms |
70852 KB |
Output is correct |
60 |
Correct |
75 ms |
70852 KB |
Output is correct |
61 |
Correct |
121 ms |
70948 KB |
Output is correct |
62 |
Correct |
67 ms |
71044 KB |
Output is correct |
63 |
Correct |
65 ms |
71124 KB |
Output is correct |
64 |
Correct |
69 ms |
71124 KB |
Output is correct |
65 |
Correct |
74 ms |
71124 KB |
Output is correct |
66 |
Correct |
72 ms |
71164 KB |
Output is correct |
67 |
Correct |
68 ms |
71216 KB |
Output is correct |
68 |
Correct |
64 ms |
71608 KB |
Output is correct |
69 |
Correct |
72 ms |
71608 KB |
Output is correct |
70 |
Correct |
79 ms |
71608 KB |
Output is correct |
71 |
Correct |
69 ms |
71608 KB |
Output is correct |
72 |
Correct |
72 ms |
71608 KB |
Output is correct |
73 |
Correct |
72 ms |
71608 KB |
Output is correct |
74 |
Correct |
84 ms |
71608 KB |
Output is correct |
75 |
Correct |
66 ms |
71628 KB |
Output is correct |
76 |
Correct |
67 ms |
71692 KB |
Output is correct |
77 |
Correct |
67 ms |
71756 KB |
Output is correct |
78 |
Correct |
66 ms |
71820 KB |
Output is correct |
79 |
Correct |
82 ms |
71868 KB |
Output is correct |
80 |
Correct |
65 ms |
71920 KB |
Output is correct |
81 |
Correct |
83 ms |
72092 KB |
Output is correct |
82 |
Correct |
70 ms |
72092 KB |
Output is correct |
83 |
Correct |
72 ms |
72112 KB |
Output is correct |
84 |
Correct |
68 ms |
72172 KB |
Output is correct |
85 |
Correct |
66 ms |
72240 KB |
Output is correct |
86 |
Correct |
78 ms |
72396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
68600 KB |
Output is correct |
2 |
Correct |
64 ms |
68600 KB |
Output is correct |
3 |
Correct |
62 ms |
68804 KB |
Output is correct |
4 |
Correct |
63 ms |
68804 KB |
Output is correct |
5 |
Correct |
70 ms |
68808 KB |
Output is correct |
6 |
Correct |
65 ms |
68880 KB |
Output is correct |
7 |
Correct |
63 ms |
69036 KB |
Output is correct |
8 |
Correct |
62 ms |
69036 KB |
Output is correct |
9 |
Correct |
61 ms |
69056 KB |
Output is correct |
10 |
Correct |
62 ms |
69084 KB |
Output is correct |
11 |
Correct |
64 ms |
69112 KB |
Output is correct |
12 |
Correct |
62 ms |
69284 KB |
Output is correct |
13 |
Correct |
61 ms |
69284 KB |
Output is correct |
14 |
Correct |
61 ms |
69284 KB |
Output is correct |
15 |
Correct |
62 ms |
69284 KB |
Output is correct |
16 |
Correct |
60 ms |
69284 KB |
Output is correct |
17 |
Correct |
63 ms |
69284 KB |
Output is correct |
18 |
Correct |
61 ms |
69284 KB |
Output is correct |
19 |
Correct |
64 ms |
69284 KB |
Output is correct |
20 |
Correct |
69 ms |
69284 KB |
Output is correct |
21 |
Correct |
63 ms |
69284 KB |
Output is correct |
22 |
Correct |
63 ms |
69284 KB |
Output is correct |
23 |
Correct |
62 ms |
69284 KB |
Output is correct |
24 |
Correct |
61 ms |
69284 KB |
Output is correct |
25 |
Correct |
62 ms |
69284 KB |
Output is correct |
26 |
Correct |
62 ms |
69284 KB |
Output is correct |
27 |
Correct |
61 ms |
69284 KB |
Output is correct |
28 |
Correct |
62 ms |
69292 KB |
Output is correct |
29 |
Correct |
62 ms |
69404 KB |
Output is correct |
30 |
Correct |
62 ms |
69404 KB |
Output is correct |
31 |
Correct |
64 ms |
69404 KB |
Output is correct |
32 |
Correct |
71 ms |
69404 KB |
Output is correct |
33 |
Correct |
63 ms |
69420 KB |
Output is correct |
34 |
Correct |
62 ms |
69432 KB |
Output is correct |
35 |
Correct |
73 ms |
69432 KB |
Output is correct |
36 |
Correct |
64 ms |
69484 KB |
Output is correct |
37 |
Correct |
63 ms |
69484 KB |
Output is correct |
38 |
Correct |
62 ms |
69484 KB |
Output is correct |
39 |
Correct |
66 ms |
69512 KB |
Output is correct |
40 |
Correct |
64 ms |
69512 KB |
Output is correct |
41 |
Correct |
61 ms |
69512 KB |
Output is correct |
42 |
Correct |
62 ms |
69512 KB |
Output is correct |
43 |
Correct |
64 ms |
69544 KB |
Output is correct |
44 |
Correct |
62 ms |
69544 KB |
Output is correct |
45 |
Correct |
63 ms |
69596 KB |
Output is correct |
46 |
Correct |
68 ms |
69740 KB |
Output is correct |
47 |
Correct |
72 ms |
69836 KB |
Output is correct |
48 |
Correct |
69 ms |
69892 KB |
Output is correct |
49 |
Correct |
65 ms |
70224 KB |
Output is correct |
50 |
Correct |
66 ms |
70300 KB |
Output is correct |
51 |
Correct |
66 ms |
70376 KB |
Output is correct |
52 |
Correct |
70 ms |
70456 KB |
Output is correct |
53 |
Correct |
76 ms |
70456 KB |
Output is correct |
54 |
Correct |
72 ms |
70512 KB |
Output is correct |
55 |
Correct |
73 ms |
70532 KB |
Output is correct |
56 |
Correct |
66 ms |
70656 KB |
Output is correct |
57 |
Correct |
81 ms |
70656 KB |
Output is correct |
58 |
Correct |
73 ms |
70656 KB |
Output is correct |
59 |
Correct |
80 ms |
70852 KB |
Output is correct |
60 |
Correct |
75 ms |
70852 KB |
Output is correct |
61 |
Correct |
121 ms |
70948 KB |
Output is correct |
62 |
Correct |
67 ms |
71044 KB |
Output is correct |
63 |
Correct |
65 ms |
71124 KB |
Output is correct |
64 |
Correct |
69 ms |
71124 KB |
Output is correct |
65 |
Correct |
74 ms |
71124 KB |
Output is correct |
66 |
Correct |
72 ms |
71164 KB |
Output is correct |
67 |
Correct |
68 ms |
71216 KB |
Output is correct |
68 |
Correct |
64 ms |
71608 KB |
Output is correct |
69 |
Correct |
72 ms |
71608 KB |
Output is correct |
70 |
Correct |
79 ms |
71608 KB |
Output is correct |
71 |
Correct |
69 ms |
71608 KB |
Output is correct |
72 |
Correct |
72 ms |
71608 KB |
Output is correct |
73 |
Correct |
72 ms |
71608 KB |
Output is correct |
74 |
Correct |
84 ms |
71608 KB |
Output is correct |
75 |
Correct |
66 ms |
71628 KB |
Output is correct |
76 |
Correct |
67 ms |
71692 KB |
Output is correct |
77 |
Correct |
67 ms |
71756 KB |
Output is correct |
78 |
Correct |
66 ms |
71820 KB |
Output is correct |
79 |
Correct |
82 ms |
71868 KB |
Output is correct |
80 |
Correct |
65 ms |
71920 KB |
Output is correct |
81 |
Correct |
83 ms |
72092 KB |
Output is correct |
82 |
Correct |
70 ms |
72092 KB |
Output is correct |
83 |
Correct |
72 ms |
72112 KB |
Output is correct |
84 |
Correct |
68 ms |
72172 KB |
Output is correct |
85 |
Correct |
66 ms |
72240 KB |
Output is correct |
86 |
Correct |
78 ms |
72396 KB |
Output is correct |
87 |
Correct |
83 ms |
72828 KB |
Output is correct |
88 |
Correct |
136 ms |
74812 KB |
Output is correct |
89 |
Correct |
354 ms |
80700 KB |
Output is correct |
90 |
Correct |
347 ms |
82812 KB |
Output is correct |
91 |
Correct |
339 ms |
85052 KB |
Output is correct |
92 |
Correct |
196 ms |
93324 KB |
Output is correct |
93 |
Correct |
213 ms |
95268 KB |
Output is correct |
94 |
Correct |
197 ms |
97528 KB |
Output is correct |
95 |
Correct |
208 ms |
97528 KB |
Output is correct |
96 |
Correct |
211 ms |
99164 KB |
Output is correct |
97 |
Correct |
211 ms |
101168 KB |
Output is correct |
98 |
Correct |
218 ms |
103404 KB |
Output is correct |
99 |
Correct |
199 ms |
103976 KB |
Output is correct |
100 |
Correct |
513 ms |
103976 KB |
Output is correct |
101 |
Correct |
570 ms |
105960 KB |
Output is correct |
102 |
Correct |
533 ms |
107980 KB |
Output is correct |
103 |
Correct |
543 ms |
110148 KB |
Output is correct |
104 |
Correct |
208 ms |
114096 KB |
Output is correct |
105 |
Correct |
211 ms |
116164 KB |
Output is correct |
106 |
Correct |
228 ms |
118268 KB |
Output is correct |
107 |
Correct |
308 ms |
118268 KB |
Output is correct |
108 |
Correct |
328 ms |
118528 KB |
Output is correct |
109 |
Correct |
365 ms |
120636 KB |
Output is correct |
110 |
Correct |
176 ms |
128084 KB |
Output is correct |
111 |
Correct |
198 ms |
128084 KB |
Output is correct |
112 |
Correct |
215 ms |
129156 KB |
Output is correct |
113 |
Correct |
190 ms |
129260 KB |
Output is correct |
114 |
Correct |
488 ms |
129260 KB |
Output is correct |
115 |
Correct |
544 ms |
130660 KB |
Output is correct |
116 |
Correct |
210 ms |
133876 KB |
Output is correct |
117 |
Correct |
231 ms |
134656 KB |
Output is correct |
118 |
Correct |
263 ms |
135868 KB |
Output is correct |
119 |
Correct |
215 ms |
137500 KB |
Output is correct |
120 |
Correct |
205 ms |
139700 KB |
Output is correct |
121 |
Correct |
201 ms |
140732 KB |
Output is correct |
122 |
Correct |
203 ms |
142112 KB |
Output is correct |
123 |
Correct |
224 ms |
144596 KB |
Output is correct |
124 |
Correct |
230 ms |
145956 KB |
Output is correct |
125 |
Correct |
219 ms |
147680 KB |
Output is correct |
126 |
Correct |
206 ms |
149668 KB |
Output is correct |
127 |
Correct |
210 ms |
150828 KB |
Output is correct |
128 |
Correct |
207 ms |
152164 KB |
Output is correct |