#include <bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define pb push_back
#define lb lower_bound
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
typedef long long ll;
using namespace std;
const int mxN=100030;
const int mxM=500004;
const int MOD=998244353;
const ll INF=8e18;
typedef struct fenwick{
int fen[mxN], n;
void set_n(int m){n=m;}
void init(){for(int i=0;i<=n+1;i++) fen[i]=0;}
void upd(int idx, int val){
while(idx<=n) fen[idx]+=val, idx+=(idx&(-idx));
}
int solv(int idx){
int res=0;
while(idx) res+=fen[idx], idx-=(idx&(-idx));
return res;
}
}fenwick;
int N;
int C[mxN];
vector <pii> E;
vector <int> v[mxN];
int dep[mxN], sub[mxN], g[mxN], par[mxN];
stack <pii> stk[mxN];
fenwick T1;
void input(){
cin >> N;
for(int i=1;i<=N;i++) cin >> C[i];
E.resize(N-1);
for(auto &[x, y] : E)
{
cin >> x >> y;
v[x].push_back(y);
par[y]=x;
}
}
void dfs1(int now){
sub[now]=1;
for(int nxt : v[now])
{
dep[nxt]=dep[now]+1;
dfs1(nxt);
sub[now]+=sub[nxt];
}
}
void dfs2(int now){
if(v[now].empty()) return;
sort(all(v[now]), [](int a, int b){return sub[a]>sub[b];});
for(int nxt : v[now]) g[nxt]=nxt;
g[v[now][0]]=g[now];
for(int nxt : v[now]) dfs2(nxt);
}
void heavy(int now, vector <pii> &ct, int col)
{
vector <pii> nv;
int idx=g[now], nl=dep[now]-dep[idx]+1;
while(!stk[idx].empty())
{
auto [nc, len]=stk[idx].top();
stk[idx].pop();
if(nl>len) nv.emplace_back(nc, len), nl-=len;
else
{
nv.emplace_back(nc, nl);
if(len!=nl) stk[idx].emplace(nc, len-nl);
break;
}
}
stk[idx].emplace(col, dep[now]-dep[idx]+1);
reverse(all(nv));
for(pii ele : nv) ct.push_back(ele);
}
ll inv_count(vector <pii> &ct)
{
ll res=0;
vector <int> cr;
cr.resize(ct.size());
for(int i=0;i<ct.size();i++) cr[i]=ct[i].fi;
sort(all(cr));
cr.erase(unique(all(cr)), cr.end());
for(auto &[x, y] : ct) x=lower_bound(all(cr), x)-cr.begin()+1;
T1.set_n(cr.size()+1);
T1.init();
for(auto [col, cnt] : ct)
{
res+=(ll)T1.solv(col-1)*cnt;
T1.upd(col, cnt);
}
return res;
}
ll qry(int now){
vector <pii> ct;
int np=now;
if(g[now]==now) stk[now].emplace(C[now], 1), np=par[now];
while(np){
heavy(np, ct, C[now]);
np=par[g[np]];
}
return inv_count(ct);
}
int main()
{
gibon
input();
dfs1(1);
g[1]=1;
dfs2(1);
stk[1].emplace(C[1], 1);
for(auto [x, y] : E) cout << qry(y) << '\n';
}
Compilation message
construction.cpp: In function 'll inv_count(std::vector<std::pair<int, int> >&)':
construction.cpp:88:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
88 | for(int i=0;i<ct.size();i++) cr[i]=ct[i].fi;
| ~^~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
72016 KB |
Output is correct |
2 |
Correct |
36 ms |
72020 KB |
Output is correct |
3 |
Correct |
34 ms |
72284 KB |
Output is correct |
4 |
Correct |
32 ms |
72284 KB |
Output is correct |
5 |
Correct |
32 ms |
72280 KB |
Output is correct |
6 |
Correct |
32 ms |
72268 KB |
Output is correct |
7 |
Correct |
40 ms |
72272 KB |
Output is correct |
8 |
Correct |
36 ms |
72272 KB |
Output is correct |
9 |
Correct |
37 ms |
72284 KB |
Output is correct |
10 |
Correct |
34 ms |
72280 KB |
Output is correct |
11 |
Correct |
36 ms |
72284 KB |
Output is correct |
12 |
Correct |
33 ms |
72092 KB |
Output is correct |
13 |
Correct |
32 ms |
72284 KB |
Output is correct |
14 |
Correct |
32 ms |
72284 KB |
Output is correct |
15 |
Correct |
32 ms |
72284 KB |
Output is correct |
16 |
Correct |
32 ms |
72280 KB |
Output is correct |
17 |
Correct |
33 ms |
72472 KB |
Output is correct |
18 |
Correct |
33 ms |
72108 KB |
Output is correct |
19 |
Correct |
32 ms |
72272 KB |
Output is correct |
20 |
Correct |
32 ms |
72072 KB |
Output is correct |
21 |
Correct |
34 ms |
72296 KB |
Output is correct |
22 |
Correct |
42 ms |
72148 KB |
Output is correct |
23 |
Correct |
33 ms |
72276 KB |
Output is correct |
24 |
Correct |
33 ms |
72284 KB |
Output is correct |
25 |
Correct |
32 ms |
72308 KB |
Output is correct |
26 |
Correct |
37 ms |
72536 KB |
Output is correct |
27 |
Correct |
33 ms |
72300 KB |
Output is correct |
28 |
Correct |
33 ms |
72324 KB |
Output is correct |
29 |
Correct |
35 ms |
72284 KB |
Output is correct |
30 |
Correct |
33 ms |
72284 KB |
Output is correct |
31 |
Correct |
33 ms |
72076 KB |
Output is correct |
32 |
Correct |
33 ms |
72272 KB |
Output is correct |
33 |
Correct |
32 ms |
72284 KB |
Output is correct |
34 |
Correct |
32 ms |
72280 KB |
Output is correct |
35 |
Correct |
32 ms |
72284 KB |
Output is correct |
36 |
Correct |
33 ms |
72184 KB |
Output is correct |
37 |
Correct |
33 ms |
72284 KB |
Output is correct |
38 |
Correct |
32 ms |
72284 KB |
Output is correct |
39 |
Correct |
32 ms |
72276 KB |
Output is correct |
40 |
Correct |
35 ms |
72124 KB |
Output is correct |
41 |
Correct |
38 ms |
72284 KB |
Output is correct |
42 |
Correct |
32 ms |
72276 KB |
Output is correct |
43 |
Correct |
32 ms |
72276 KB |
Output is correct |
44 |
Correct |
33 ms |
72284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
72016 KB |
Output is correct |
2 |
Correct |
36 ms |
72020 KB |
Output is correct |
3 |
Correct |
34 ms |
72284 KB |
Output is correct |
4 |
Correct |
32 ms |
72284 KB |
Output is correct |
5 |
Correct |
32 ms |
72280 KB |
Output is correct |
6 |
Correct |
32 ms |
72268 KB |
Output is correct |
7 |
Correct |
40 ms |
72272 KB |
Output is correct |
8 |
Correct |
36 ms |
72272 KB |
Output is correct |
9 |
Correct |
37 ms |
72284 KB |
Output is correct |
10 |
Correct |
34 ms |
72280 KB |
Output is correct |
11 |
Correct |
36 ms |
72284 KB |
Output is correct |
12 |
Correct |
33 ms |
72092 KB |
Output is correct |
13 |
Correct |
32 ms |
72284 KB |
Output is correct |
14 |
Correct |
32 ms |
72284 KB |
Output is correct |
15 |
Correct |
32 ms |
72284 KB |
Output is correct |
16 |
Correct |
32 ms |
72280 KB |
Output is correct |
17 |
Correct |
33 ms |
72472 KB |
Output is correct |
18 |
Correct |
33 ms |
72108 KB |
Output is correct |
19 |
Correct |
32 ms |
72272 KB |
Output is correct |
20 |
Correct |
32 ms |
72072 KB |
Output is correct |
21 |
Correct |
34 ms |
72296 KB |
Output is correct |
22 |
Correct |
42 ms |
72148 KB |
Output is correct |
23 |
Correct |
33 ms |
72276 KB |
Output is correct |
24 |
Correct |
33 ms |
72284 KB |
Output is correct |
25 |
Correct |
32 ms |
72308 KB |
Output is correct |
26 |
Correct |
37 ms |
72536 KB |
Output is correct |
27 |
Correct |
33 ms |
72300 KB |
Output is correct |
28 |
Correct |
33 ms |
72324 KB |
Output is correct |
29 |
Correct |
35 ms |
72284 KB |
Output is correct |
30 |
Correct |
33 ms |
72284 KB |
Output is correct |
31 |
Correct |
33 ms |
72076 KB |
Output is correct |
32 |
Correct |
33 ms |
72272 KB |
Output is correct |
33 |
Correct |
32 ms |
72284 KB |
Output is correct |
34 |
Correct |
32 ms |
72280 KB |
Output is correct |
35 |
Correct |
32 ms |
72284 KB |
Output is correct |
36 |
Correct |
33 ms |
72184 KB |
Output is correct |
37 |
Correct |
33 ms |
72284 KB |
Output is correct |
38 |
Correct |
32 ms |
72284 KB |
Output is correct |
39 |
Correct |
32 ms |
72276 KB |
Output is correct |
40 |
Correct |
35 ms |
72124 KB |
Output is correct |
41 |
Correct |
38 ms |
72284 KB |
Output is correct |
42 |
Correct |
32 ms |
72276 KB |
Output is correct |
43 |
Correct |
32 ms |
72276 KB |
Output is correct |
44 |
Correct |
33 ms |
72284 KB |
Output is correct |
45 |
Correct |
37 ms |
72308 KB |
Output is correct |
46 |
Correct |
36 ms |
72284 KB |
Output is correct |
47 |
Correct |
42 ms |
72276 KB |
Output is correct |
48 |
Correct |
43 ms |
72552 KB |
Output is correct |
49 |
Correct |
34 ms |
72528 KB |
Output is correct |
50 |
Correct |
34 ms |
72540 KB |
Output is correct |
51 |
Correct |
35 ms |
72556 KB |
Output is correct |
52 |
Correct |
35 ms |
72524 KB |
Output is correct |
53 |
Correct |
35 ms |
72544 KB |
Output is correct |
54 |
Correct |
34 ms |
72644 KB |
Output is correct |
55 |
Correct |
34 ms |
72428 KB |
Output is correct |
56 |
Correct |
39 ms |
72692 KB |
Output is correct |
57 |
Correct |
38 ms |
72284 KB |
Output is correct |
58 |
Correct |
46 ms |
72280 KB |
Output is correct |
59 |
Correct |
40 ms |
72284 KB |
Output is correct |
60 |
Correct |
37 ms |
72324 KB |
Output is correct |
61 |
Correct |
34 ms |
72528 KB |
Output is correct |
62 |
Correct |
35 ms |
72540 KB |
Output is correct |
63 |
Correct |
36 ms |
72564 KB |
Output is correct |
64 |
Correct |
35 ms |
72284 KB |
Output is correct |
65 |
Correct |
42 ms |
72288 KB |
Output is correct |
66 |
Correct |
36 ms |
72288 KB |
Output is correct |
67 |
Correct |
37 ms |
72280 KB |
Output is correct |
68 |
Correct |
34 ms |
72536 KB |
Output is correct |
69 |
Correct |
34 ms |
72528 KB |
Output is correct |
70 |
Correct |
36 ms |
72624 KB |
Output is correct |
71 |
Correct |
34 ms |
72536 KB |
Output is correct |
72 |
Correct |
45 ms |
72428 KB |
Output is correct |
73 |
Correct |
37 ms |
72424 KB |
Output is correct |
74 |
Correct |
36 ms |
72540 KB |
Output is correct |
75 |
Correct |
36 ms |
72276 KB |
Output is correct |
76 |
Correct |
37 ms |
72472 KB |
Output is correct |
77 |
Correct |
42 ms |
72344 KB |
Output is correct |
78 |
Correct |
34 ms |
72280 KB |
Output is correct |
79 |
Correct |
34 ms |
72284 KB |
Output is correct |
80 |
Correct |
35 ms |
72284 KB |
Output is correct |
81 |
Correct |
34 ms |
72272 KB |
Output is correct |
82 |
Correct |
35 ms |
72272 KB |
Output is correct |
83 |
Correct |
35 ms |
72284 KB |
Output is correct |
84 |
Correct |
34 ms |
72340 KB |
Output is correct |
85 |
Correct |
38 ms |
72292 KB |
Output is correct |
86 |
Correct |
35 ms |
72208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
72016 KB |
Output is correct |
2 |
Correct |
36 ms |
72020 KB |
Output is correct |
3 |
Correct |
34 ms |
72284 KB |
Output is correct |
4 |
Correct |
32 ms |
72284 KB |
Output is correct |
5 |
Correct |
32 ms |
72280 KB |
Output is correct |
6 |
Correct |
32 ms |
72268 KB |
Output is correct |
7 |
Correct |
40 ms |
72272 KB |
Output is correct |
8 |
Correct |
36 ms |
72272 KB |
Output is correct |
9 |
Correct |
37 ms |
72284 KB |
Output is correct |
10 |
Correct |
34 ms |
72280 KB |
Output is correct |
11 |
Correct |
36 ms |
72284 KB |
Output is correct |
12 |
Correct |
33 ms |
72092 KB |
Output is correct |
13 |
Correct |
32 ms |
72284 KB |
Output is correct |
14 |
Correct |
32 ms |
72284 KB |
Output is correct |
15 |
Correct |
32 ms |
72284 KB |
Output is correct |
16 |
Correct |
32 ms |
72280 KB |
Output is correct |
17 |
Correct |
33 ms |
72472 KB |
Output is correct |
18 |
Correct |
33 ms |
72108 KB |
Output is correct |
19 |
Correct |
32 ms |
72272 KB |
Output is correct |
20 |
Correct |
32 ms |
72072 KB |
Output is correct |
21 |
Correct |
34 ms |
72296 KB |
Output is correct |
22 |
Correct |
42 ms |
72148 KB |
Output is correct |
23 |
Correct |
33 ms |
72276 KB |
Output is correct |
24 |
Correct |
33 ms |
72284 KB |
Output is correct |
25 |
Correct |
32 ms |
72308 KB |
Output is correct |
26 |
Correct |
37 ms |
72536 KB |
Output is correct |
27 |
Correct |
33 ms |
72300 KB |
Output is correct |
28 |
Correct |
33 ms |
72324 KB |
Output is correct |
29 |
Correct |
35 ms |
72284 KB |
Output is correct |
30 |
Correct |
33 ms |
72284 KB |
Output is correct |
31 |
Correct |
33 ms |
72076 KB |
Output is correct |
32 |
Correct |
33 ms |
72272 KB |
Output is correct |
33 |
Correct |
32 ms |
72284 KB |
Output is correct |
34 |
Correct |
32 ms |
72280 KB |
Output is correct |
35 |
Correct |
32 ms |
72284 KB |
Output is correct |
36 |
Correct |
33 ms |
72184 KB |
Output is correct |
37 |
Correct |
33 ms |
72284 KB |
Output is correct |
38 |
Correct |
32 ms |
72284 KB |
Output is correct |
39 |
Correct |
32 ms |
72276 KB |
Output is correct |
40 |
Correct |
35 ms |
72124 KB |
Output is correct |
41 |
Correct |
38 ms |
72284 KB |
Output is correct |
42 |
Correct |
32 ms |
72276 KB |
Output is correct |
43 |
Correct |
32 ms |
72276 KB |
Output is correct |
44 |
Correct |
33 ms |
72284 KB |
Output is correct |
45 |
Correct |
37 ms |
72308 KB |
Output is correct |
46 |
Correct |
36 ms |
72284 KB |
Output is correct |
47 |
Correct |
42 ms |
72276 KB |
Output is correct |
48 |
Correct |
43 ms |
72552 KB |
Output is correct |
49 |
Correct |
34 ms |
72528 KB |
Output is correct |
50 |
Correct |
34 ms |
72540 KB |
Output is correct |
51 |
Correct |
35 ms |
72556 KB |
Output is correct |
52 |
Correct |
35 ms |
72524 KB |
Output is correct |
53 |
Correct |
35 ms |
72544 KB |
Output is correct |
54 |
Correct |
34 ms |
72644 KB |
Output is correct |
55 |
Correct |
34 ms |
72428 KB |
Output is correct |
56 |
Correct |
39 ms |
72692 KB |
Output is correct |
57 |
Correct |
38 ms |
72284 KB |
Output is correct |
58 |
Correct |
46 ms |
72280 KB |
Output is correct |
59 |
Correct |
40 ms |
72284 KB |
Output is correct |
60 |
Correct |
37 ms |
72324 KB |
Output is correct |
61 |
Correct |
34 ms |
72528 KB |
Output is correct |
62 |
Correct |
35 ms |
72540 KB |
Output is correct |
63 |
Correct |
36 ms |
72564 KB |
Output is correct |
64 |
Correct |
35 ms |
72284 KB |
Output is correct |
65 |
Correct |
42 ms |
72288 KB |
Output is correct |
66 |
Correct |
36 ms |
72288 KB |
Output is correct |
67 |
Correct |
37 ms |
72280 KB |
Output is correct |
68 |
Correct |
34 ms |
72536 KB |
Output is correct |
69 |
Correct |
34 ms |
72528 KB |
Output is correct |
70 |
Correct |
36 ms |
72624 KB |
Output is correct |
71 |
Correct |
34 ms |
72536 KB |
Output is correct |
72 |
Correct |
45 ms |
72428 KB |
Output is correct |
73 |
Correct |
37 ms |
72424 KB |
Output is correct |
74 |
Correct |
36 ms |
72540 KB |
Output is correct |
75 |
Correct |
36 ms |
72276 KB |
Output is correct |
76 |
Correct |
37 ms |
72472 KB |
Output is correct |
77 |
Correct |
42 ms |
72344 KB |
Output is correct |
78 |
Correct |
34 ms |
72280 KB |
Output is correct |
79 |
Correct |
34 ms |
72284 KB |
Output is correct |
80 |
Correct |
35 ms |
72284 KB |
Output is correct |
81 |
Correct |
34 ms |
72272 KB |
Output is correct |
82 |
Correct |
35 ms |
72272 KB |
Output is correct |
83 |
Correct |
35 ms |
72284 KB |
Output is correct |
84 |
Correct |
34 ms |
72340 KB |
Output is correct |
85 |
Correct |
38 ms |
72292 KB |
Output is correct |
86 |
Correct |
35 ms |
72208 KB |
Output is correct |
87 |
Correct |
44 ms |
72720 KB |
Output is correct |
88 |
Correct |
67 ms |
73552 KB |
Output is correct |
89 |
Correct |
189 ms |
77016 KB |
Output is correct |
90 |
Correct |
151 ms |
76996 KB |
Output is correct |
91 |
Correct |
150 ms |
77112 KB |
Output is correct |
92 |
Correct |
87 ms |
84560 KB |
Output is correct |
93 |
Correct |
82 ms |
84556 KB |
Output is correct |
94 |
Correct |
83 ms |
84564 KB |
Output is correct |
95 |
Correct |
117 ms |
81068 KB |
Output is correct |
96 |
Correct |
104 ms |
81364 KB |
Output is correct |
97 |
Correct |
102 ms |
81440 KB |
Output is correct |
98 |
Correct |
104 ms |
81452 KB |
Output is correct |
99 |
Correct |
99 ms |
80396 KB |
Output is correct |
100 |
Correct |
175 ms |
77064 KB |
Output is correct |
101 |
Correct |
237 ms |
77408 KB |
Output is correct |
102 |
Correct |
234 ms |
77772 KB |
Output is correct |
103 |
Correct |
239 ms |
77396 KB |
Output is correct |
104 |
Correct |
94 ms |
80208 KB |
Output is correct |
105 |
Correct |
94 ms |
80112 KB |
Output is correct |
106 |
Correct |
102 ms |
80212 KB |
Output is correct |
107 |
Correct |
156 ms |
76128 KB |
Output is correct |
108 |
Correct |
147 ms |
76368 KB |
Output is correct |
109 |
Correct |
155 ms |
76624 KB |
Output is correct |
110 |
Correct |
83 ms |
84168 KB |
Output is correct |
111 |
Correct |
94 ms |
81024 KB |
Output is correct |
112 |
Correct |
94 ms |
80944 KB |
Output is correct |
113 |
Correct |
96 ms |
79440 KB |
Output is correct |
114 |
Correct |
170 ms |
77140 KB |
Output is correct |
115 |
Correct |
227 ms |
76880 KB |
Output is correct |
116 |
Correct |
106 ms |
79620 KB |
Output is correct |
117 |
Correct |
94 ms |
78336 KB |
Output is correct |
118 |
Correct |
109 ms |
77652 KB |
Output is correct |
119 |
Correct |
94 ms |
77488 KB |
Output is correct |
120 |
Correct |
99 ms |
78084 KB |
Output is correct |
121 |
Correct |
92 ms |
77476 KB |
Output is correct |
122 |
Correct |
92 ms |
77132 KB |
Output is correct |
123 |
Correct |
99 ms |
78220 KB |
Output is correct |
124 |
Correct |
96 ms |
77784 KB |
Output is correct |
125 |
Correct |
99 ms |
77520 KB |
Output is correct |
126 |
Correct |
100 ms |
77872 KB |
Output is correct |
127 |
Correct |
95 ms |
77560 KB |
Output is correct |
128 |
Correct |
99 ms |
77080 KB |
Output is correct |