#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define Mp make_pair
#define sep ' '
#define endl '\n'
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define kill(res) cout << res << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define fast_io ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout);
#define lid (id*2)
#define rid (id*2+1)
#define mid ((l+r)/2)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll L = 18;
const ll N = 1e5 + 50;
const ll Mod = 1e9 + 7;
ll n, c[N], par[N][L], h[N], st[N], ft[N], timer = 1, down[N];
vector<int> edge, adj[N];
void dfs(int v, int p = 0){
par[v][0] = p;
for(int i = 1; i < L; i++){
if(!par[v][i-1]) break;
par[v][i] = par[par[v][i-1]][i-1];
}
st[v] = timer++;
for(int u: adj[v]){
h[u] = h[v] + 1; dfs(u, v);
}
ft[v] = timer;
down[v] = v;
}
int fen[N];
int getfen(int x){
int out = 0;
for(; x; x -= x & (-x)) out += fen[x];
return out;
}
void updfen(int x, int y){
for(; x <= n+1; x += x & (-x)) fen[x] += y;
}
int getPar(int v){
int x = getfen(st[v]);
for(int i = L-1; i >= 0; i--){
if(x == getfen(st[par[v][i]])) v = par[v][i];
}
return v;
}
vector<int> vec;
vector<pii> block;
int bit[N], m;
void updsol(int x, int y){
for(; x <= m; x += x & (-x)) bit[x] += y;
}
int getsol(int x){
int out = 0;
for(; x; x -= x & (-x)) out += bit[x];
return out;
}
ll solve(){
vec.clear();
for(auto i: block) vec.pb(i.F);
sort(all(vec)); vec.resize(unique(all(vec)) - vec.begin());
m = vec.size();
int sum = 0; ll res = 0;
for(auto [x, y]: block){
int id = lower_bound(all(vec), x) - vec.begin() + 1;
res += 1ll * y * (sum - getsol(id)); updsol(id, y); sum += y;
}
fill(bit, bit + m+1, 0);
return res;
}
pii seg[N*4];
void updseg(int x, pii y, int l = 1, int r = n+1, int id = 1){
if(l+1 == r){
seg[id] = y; return;
}
if(x < mid) updseg(x, y, l, mid, lid);
else updseg(x, y, mid, r, rid);
seg[id] = max(seg[lid], seg[rid]);
}
pii getseg(int ql, int qr, int l = 1, int r = n+1, int id = 1){
if(ql <= l && r <= qr) return seg[id];
if(qr <= l || r <= ql) return {0, 0};
return max(getseg(ql, qr, l, mid, lid), getseg(ql, qr, mid, r, rid));
}
int main(){
fast_io;
cin >> n;
for(int i = 1; i <= n; i++) cin >> c[i];
int u, v; edge.pb(1);
for(int i = 1; i < n; i++){
cin >> u >> v;
adj[u].pb(v); edge.pb(v);
}
dfs(1);
updseg(st[1], {0, c[1]});
updfen(st[1], 1); updfen(ft[1], -1);
for(int i = 1; i < n; i++){
block.clear();
v = par[edge[i]][0];
while(v){
u = getPar(v);
block.pb({getseg(st[v], ft[v]).S, h[v] - h[u] + 1});
v = par[u][0];
}
reverse(all(block));
cout << solve() << endl;
v = edge[i];
updseg(st[v], {i, c[v]});
int last = v; v = par[v][0];
while(v){
u = getPar(v);
if(down[v] != v){
updfen(st[down[v]], 1);
updfen(ft[down[v]], -1);
}
down[v] = last;
if(u != 1){
updfen(st[u], -1);
updfen(ft[u], 1);
}
last = u;
v = par[u][0];
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8540 KB |
Output is correct |
2 |
Correct |
1 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
2 ms |
8680 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
2 ms |
8540 KB |
Output is correct |
11 |
Correct |
2 ms |
8540 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
2 ms |
8540 KB |
Output is correct |
14 |
Correct |
2 ms |
8540 KB |
Output is correct |
15 |
Correct |
2 ms |
8540 KB |
Output is correct |
16 |
Correct |
3 ms |
8540 KB |
Output is correct |
17 |
Correct |
2 ms |
8540 KB |
Output is correct |
18 |
Correct |
2 ms |
8708 KB |
Output is correct |
19 |
Correct |
2 ms |
8540 KB |
Output is correct |
20 |
Correct |
2 ms |
8540 KB |
Output is correct |
21 |
Correct |
2 ms |
8540 KB |
Output is correct |
22 |
Correct |
2 ms |
8540 KB |
Output is correct |
23 |
Correct |
2 ms |
8540 KB |
Output is correct |
24 |
Correct |
2 ms |
8540 KB |
Output is correct |
25 |
Correct |
2 ms |
8540 KB |
Output is correct |
26 |
Correct |
2 ms |
8540 KB |
Output is correct |
27 |
Correct |
2 ms |
8540 KB |
Output is correct |
28 |
Correct |
2 ms |
8540 KB |
Output is correct |
29 |
Correct |
2 ms |
8540 KB |
Output is correct |
30 |
Correct |
2 ms |
8540 KB |
Output is correct |
31 |
Correct |
2 ms |
8704 KB |
Output is correct |
32 |
Correct |
2 ms |
8544 KB |
Output is correct |
33 |
Correct |
2 ms |
8540 KB |
Output is correct |
34 |
Correct |
2 ms |
8536 KB |
Output is correct |
35 |
Correct |
2 ms |
8536 KB |
Output is correct |
36 |
Correct |
2 ms |
8540 KB |
Output is correct |
37 |
Correct |
2 ms |
8540 KB |
Output is correct |
38 |
Correct |
2 ms |
8540 KB |
Output is correct |
39 |
Correct |
2 ms |
8540 KB |
Output is correct |
40 |
Correct |
2 ms |
8540 KB |
Output is correct |
41 |
Correct |
2 ms |
8540 KB |
Output is correct |
42 |
Correct |
2 ms |
8540 KB |
Output is correct |
43 |
Correct |
2 ms |
8736 KB |
Output is correct |
44 |
Correct |
2 ms |
8540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8540 KB |
Output is correct |
2 |
Correct |
1 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
2 ms |
8680 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
2 ms |
8540 KB |
Output is correct |
11 |
Correct |
2 ms |
8540 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
2 ms |
8540 KB |
Output is correct |
14 |
Correct |
2 ms |
8540 KB |
Output is correct |
15 |
Correct |
2 ms |
8540 KB |
Output is correct |
16 |
Correct |
3 ms |
8540 KB |
Output is correct |
17 |
Correct |
2 ms |
8540 KB |
Output is correct |
18 |
Correct |
2 ms |
8708 KB |
Output is correct |
19 |
Correct |
2 ms |
8540 KB |
Output is correct |
20 |
Correct |
2 ms |
8540 KB |
Output is correct |
21 |
Correct |
2 ms |
8540 KB |
Output is correct |
22 |
Correct |
2 ms |
8540 KB |
Output is correct |
23 |
Correct |
2 ms |
8540 KB |
Output is correct |
24 |
Correct |
2 ms |
8540 KB |
Output is correct |
25 |
Correct |
2 ms |
8540 KB |
Output is correct |
26 |
Correct |
2 ms |
8540 KB |
Output is correct |
27 |
Correct |
2 ms |
8540 KB |
Output is correct |
28 |
Correct |
2 ms |
8540 KB |
Output is correct |
29 |
Correct |
2 ms |
8540 KB |
Output is correct |
30 |
Correct |
2 ms |
8540 KB |
Output is correct |
31 |
Correct |
2 ms |
8704 KB |
Output is correct |
32 |
Correct |
2 ms |
8544 KB |
Output is correct |
33 |
Correct |
2 ms |
8540 KB |
Output is correct |
34 |
Correct |
2 ms |
8536 KB |
Output is correct |
35 |
Correct |
2 ms |
8536 KB |
Output is correct |
36 |
Correct |
2 ms |
8540 KB |
Output is correct |
37 |
Correct |
2 ms |
8540 KB |
Output is correct |
38 |
Correct |
2 ms |
8540 KB |
Output is correct |
39 |
Correct |
2 ms |
8540 KB |
Output is correct |
40 |
Correct |
2 ms |
8540 KB |
Output is correct |
41 |
Correct |
2 ms |
8540 KB |
Output is correct |
42 |
Correct |
2 ms |
8540 KB |
Output is correct |
43 |
Correct |
2 ms |
8736 KB |
Output is correct |
44 |
Correct |
2 ms |
8540 KB |
Output is correct |
45 |
Correct |
3 ms |
8536 KB |
Output is correct |
46 |
Correct |
9 ms |
8792 KB |
Output is correct |
47 |
Correct |
10 ms |
8796 KB |
Output is correct |
48 |
Correct |
11 ms |
8796 KB |
Output is correct |
49 |
Correct |
5 ms |
9052 KB |
Output is correct |
50 |
Correct |
5 ms |
9124 KB |
Output is correct |
51 |
Correct |
5 ms |
9052 KB |
Output is correct |
52 |
Correct |
7 ms |
8796 KB |
Output is correct |
53 |
Correct |
6 ms |
8968 KB |
Output is correct |
54 |
Correct |
6 ms |
8796 KB |
Output is correct |
55 |
Correct |
6 ms |
8788 KB |
Output is correct |
56 |
Correct |
5 ms |
8892 KB |
Output is correct |
57 |
Correct |
15 ms |
8792 KB |
Output is correct |
58 |
Correct |
16 ms |
8868 KB |
Output is correct |
59 |
Correct |
17 ms |
8792 KB |
Output is correct |
60 |
Correct |
16 ms |
8796 KB |
Output is correct |
61 |
Correct |
7 ms |
8936 KB |
Output is correct |
62 |
Correct |
6 ms |
8796 KB |
Output is correct |
63 |
Correct |
6 ms |
8796 KB |
Output is correct |
64 |
Correct |
9 ms |
8796 KB |
Output is correct |
65 |
Correct |
9 ms |
8796 KB |
Output is correct |
66 |
Correct |
9 ms |
8796 KB |
Output is correct |
67 |
Correct |
9 ms |
8868 KB |
Output is correct |
68 |
Correct |
4 ms |
9052 KB |
Output is correct |
69 |
Correct |
5 ms |
8796 KB |
Output is correct |
70 |
Correct |
5 ms |
8796 KB |
Output is correct |
71 |
Correct |
5 ms |
8796 KB |
Output is correct |
72 |
Correct |
15 ms |
8796 KB |
Output is correct |
73 |
Correct |
16 ms |
8796 KB |
Output is correct |
74 |
Correct |
6 ms |
8796 KB |
Output is correct |
75 |
Correct |
5 ms |
8792 KB |
Output is correct |
76 |
Correct |
5 ms |
8796 KB |
Output is correct |
77 |
Correct |
5 ms |
8892 KB |
Output is correct |
78 |
Correct |
6 ms |
8796 KB |
Output is correct |
79 |
Correct |
5 ms |
8792 KB |
Output is correct |
80 |
Correct |
6 ms |
8792 KB |
Output is correct |
81 |
Correct |
6 ms |
8796 KB |
Output is correct |
82 |
Correct |
6 ms |
8792 KB |
Output is correct |
83 |
Correct |
6 ms |
8796 KB |
Output is correct |
84 |
Correct |
7 ms |
8884 KB |
Output is correct |
85 |
Correct |
6 ms |
8908 KB |
Output is correct |
86 |
Correct |
6 ms |
8796 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8540 KB |
Output is correct |
2 |
Correct |
1 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
2 ms |
8680 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
2 ms |
8540 KB |
Output is correct |
11 |
Correct |
2 ms |
8540 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
2 ms |
8540 KB |
Output is correct |
14 |
Correct |
2 ms |
8540 KB |
Output is correct |
15 |
Correct |
2 ms |
8540 KB |
Output is correct |
16 |
Correct |
3 ms |
8540 KB |
Output is correct |
17 |
Correct |
2 ms |
8540 KB |
Output is correct |
18 |
Correct |
2 ms |
8708 KB |
Output is correct |
19 |
Correct |
2 ms |
8540 KB |
Output is correct |
20 |
Correct |
2 ms |
8540 KB |
Output is correct |
21 |
Correct |
2 ms |
8540 KB |
Output is correct |
22 |
Correct |
2 ms |
8540 KB |
Output is correct |
23 |
Correct |
2 ms |
8540 KB |
Output is correct |
24 |
Correct |
2 ms |
8540 KB |
Output is correct |
25 |
Correct |
2 ms |
8540 KB |
Output is correct |
26 |
Correct |
2 ms |
8540 KB |
Output is correct |
27 |
Correct |
2 ms |
8540 KB |
Output is correct |
28 |
Correct |
2 ms |
8540 KB |
Output is correct |
29 |
Correct |
2 ms |
8540 KB |
Output is correct |
30 |
Correct |
2 ms |
8540 KB |
Output is correct |
31 |
Correct |
2 ms |
8704 KB |
Output is correct |
32 |
Correct |
2 ms |
8544 KB |
Output is correct |
33 |
Correct |
2 ms |
8540 KB |
Output is correct |
34 |
Correct |
2 ms |
8536 KB |
Output is correct |
35 |
Correct |
2 ms |
8536 KB |
Output is correct |
36 |
Correct |
2 ms |
8540 KB |
Output is correct |
37 |
Correct |
2 ms |
8540 KB |
Output is correct |
38 |
Correct |
2 ms |
8540 KB |
Output is correct |
39 |
Correct |
2 ms |
8540 KB |
Output is correct |
40 |
Correct |
2 ms |
8540 KB |
Output is correct |
41 |
Correct |
2 ms |
8540 KB |
Output is correct |
42 |
Correct |
2 ms |
8540 KB |
Output is correct |
43 |
Correct |
2 ms |
8736 KB |
Output is correct |
44 |
Correct |
2 ms |
8540 KB |
Output is correct |
45 |
Correct |
3 ms |
8536 KB |
Output is correct |
46 |
Correct |
9 ms |
8792 KB |
Output is correct |
47 |
Correct |
10 ms |
8796 KB |
Output is correct |
48 |
Correct |
11 ms |
8796 KB |
Output is correct |
49 |
Correct |
5 ms |
9052 KB |
Output is correct |
50 |
Correct |
5 ms |
9124 KB |
Output is correct |
51 |
Correct |
5 ms |
9052 KB |
Output is correct |
52 |
Correct |
7 ms |
8796 KB |
Output is correct |
53 |
Correct |
6 ms |
8968 KB |
Output is correct |
54 |
Correct |
6 ms |
8796 KB |
Output is correct |
55 |
Correct |
6 ms |
8788 KB |
Output is correct |
56 |
Correct |
5 ms |
8892 KB |
Output is correct |
57 |
Correct |
15 ms |
8792 KB |
Output is correct |
58 |
Correct |
16 ms |
8868 KB |
Output is correct |
59 |
Correct |
17 ms |
8792 KB |
Output is correct |
60 |
Correct |
16 ms |
8796 KB |
Output is correct |
61 |
Correct |
7 ms |
8936 KB |
Output is correct |
62 |
Correct |
6 ms |
8796 KB |
Output is correct |
63 |
Correct |
6 ms |
8796 KB |
Output is correct |
64 |
Correct |
9 ms |
8796 KB |
Output is correct |
65 |
Correct |
9 ms |
8796 KB |
Output is correct |
66 |
Correct |
9 ms |
8796 KB |
Output is correct |
67 |
Correct |
9 ms |
8868 KB |
Output is correct |
68 |
Correct |
4 ms |
9052 KB |
Output is correct |
69 |
Correct |
5 ms |
8796 KB |
Output is correct |
70 |
Correct |
5 ms |
8796 KB |
Output is correct |
71 |
Correct |
5 ms |
8796 KB |
Output is correct |
72 |
Correct |
15 ms |
8796 KB |
Output is correct |
73 |
Correct |
16 ms |
8796 KB |
Output is correct |
74 |
Correct |
6 ms |
8796 KB |
Output is correct |
75 |
Correct |
5 ms |
8792 KB |
Output is correct |
76 |
Correct |
5 ms |
8796 KB |
Output is correct |
77 |
Correct |
5 ms |
8892 KB |
Output is correct |
78 |
Correct |
6 ms |
8796 KB |
Output is correct |
79 |
Correct |
5 ms |
8792 KB |
Output is correct |
80 |
Correct |
6 ms |
8792 KB |
Output is correct |
81 |
Correct |
6 ms |
8796 KB |
Output is correct |
82 |
Correct |
6 ms |
8792 KB |
Output is correct |
83 |
Correct |
6 ms |
8796 KB |
Output is correct |
84 |
Correct |
7 ms |
8884 KB |
Output is correct |
85 |
Correct |
6 ms |
8908 KB |
Output is correct |
86 |
Correct |
6 ms |
8796 KB |
Output is correct |
87 |
Correct |
25 ms |
13028 KB |
Output is correct |
88 |
Correct |
91 ms |
15964 KB |
Output is correct |
89 |
Correct |
382 ms |
27004 KB |
Output is correct |
90 |
Correct |
374 ms |
26996 KB |
Output is correct |
91 |
Correct |
384 ms |
26920 KB |
Output is correct |
92 |
Correct |
117 ms |
34500 KB |
Output is correct |
93 |
Correct |
154 ms |
34508 KB |
Output is correct |
94 |
Correct |
115 ms |
34508 KB |
Output is correct |
95 |
Correct |
168 ms |
30796 KB |
Output is correct |
96 |
Correct |
177 ms |
30796 KB |
Output is correct |
97 |
Correct |
208 ms |
31004 KB |
Output is correct |
98 |
Correct |
179 ms |
30796 KB |
Output is correct |
99 |
Correct |
157 ms |
30144 KB |
Output is correct |
100 |
Correct |
738 ms |
27456 KB |
Output is correct |
101 |
Correct |
777 ms |
27332 KB |
Output is correct |
102 |
Correct |
792 ms |
27336 KB |
Output is correct |
103 |
Correct |
813 ms |
27336 KB |
Output is correct |
104 |
Correct |
215 ms |
29900 KB |
Output is correct |
105 |
Correct |
225 ms |
30112 KB |
Output is correct |
106 |
Correct |
217 ms |
29900 KB |
Output is correct |
107 |
Correct |
418 ms |
26880 KB |
Output is correct |
108 |
Correct |
360 ms |
27012 KB |
Output is correct |
109 |
Correct |
395 ms |
27080 KB |
Output is correct |
110 |
Correct |
117 ms |
34564 KB |
Output is correct |
111 |
Correct |
184 ms |
30836 KB |
Output is correct |
112 |
Correct |
185 ms |
30680 KB |
Output is correct |
113 |
Correct |
188 ms |
30152 KB |
Output is correct |
114 |
Correct |
745 ms |
27824 KB |
Output is correct |
115 |
Correct |
779 ms |
27640 KB |
Output is correct |
116 |
Correct |
205 ms |
30116 KB |
Output is correct |
117 |
Correct |
184 ms |
28472 KB |
Output is correct |
118 |
Correct |
155 ms |
27940 KB |
Output is correct |
119 |
Correct |
154 ms |
27624 KB |
Output is correct |
120 |
Correct |
152 ms |
28260 KB |
Output is correct |
121 |
Correct |
146 ms |
27848 KB |
Output is correct |
122 |
Correct |
168 ms |
27896 KB |
Output is correct |
123 |
Correct |
209 ms |
28584 KB |
Output is correct |
124 |
Correct |
223 ms |
27848 KB |
Output is correct |
125 |
Correct |
221 ms |
27652 KB |
Output is correct |
126 |
Correct |
260 ms |
28444 KB |
Output is correct |
127 |
Correct |
205 ms |
27864 KB |
Output is correct |
128 |
Correct |
227 ms |
27800 KB |
Output is correct |