Submission #752161

# Submission time Handle Problem Language Result Execution time Memory
752161 2023-06-02T11:33:08 Z Dan4Life Construction of Highway (JOI18_construction) C++17
100 / 100
1337 ms 106788 KB
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define all(a) begin(a),end(a)
const int N = (int)1e5+2;
using ll = long long;
using ar = array<int,2>;
vector<int> adj[N];
deque<ar> ch[N], edge;
int n, c[N], h[N], sz[N], p[N], dep[N], fen[N];

void upd(int x, int v){	for(; x<N; x+=x&-x) fen[x]+=v; }
int sum(int x){	int s=0; for(; x; x-=x&-x) s+=fen[x]; return s; }

int dfsSz(int s){
	for(auto &u : adj[s]){
		int x = adj[s][0];
		dep[u] = dep[s]+1, sz[s]+=dfsSz(u);
		if(sz[x]<sz[u]) swap(adj[s][0],u);
	}
	return (sz[s]+=1);
}

void Hld(int s, int head){
	h[s] = head;
	for(auto u : adj[s]) 
		Hld(u,u==adj[s][0]?head:u);
}

ll calc(int a){
	vector<ar> v, tv; v.clear(); ll ans = 0;
	while(a!=-1){
		int H = h[a], siz = dep[a]-dep[h[a]]+1; tv.clear();
		for(auto [x,cnt] : ch[H]){
			tv.pb({x,min(cnt,siz)});
			siz-=min(cnt,siz); if(!siz) break;
		}
		a = p[H]; for(int i=(int)tv.size()-1;i>=0;i--) v.pb(tv[i]); 
	}
	for(int i = 1; i <= n; i++) fen[i]=0;
	for(auto [x,y] : v) ans+=(ll)y*sum(x-1), upd(x,y);
	return ans;
}

void add(int b, int v){
	while(b!=-1){
		int H = h[b], siz = dep[b]-dep[h[b]]+1; int tsz = siz;
		while(!ch[H].empty() and siz){
			int cnt = ch[H].front()[1];
			if(cnt<=siz) ch[H].pop_front(), siz-=cnt;
			else ch[H].front()[1]-=siz, siz=0;
		}
		ch[H].push_front({v,tsz}); b = p[H];
	}
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie();
	cin >> n; vector<int> v; int a, b; p[1]=-1;
	for(int i = 1; i <= n; i++) cin >> c[i], v.pb(c[i]);
	sort(all(v)), v.erase(unique(all(v)),end(v));
	for(int i = 1; i <= n; i++) c[i] = lower_bound(all(v),c[i])-begin(v)+1;
	for(int i = 1; i < n; i++) cin >> a >> b, adj[a].pb(b), p[b]=a, edge.pb({a,b});
	ch[1].pb({c[1],1}); dfsSz(1); Hld(1,1); 
	for(auto [a,b] : edge) cout << calc(a) << "\n", add(b,c[b]);
}
# Verdict Execution time Memory Grader output
1 Correct 45 ms 69916 KB Output is correct
2 Correct 48 ms 69904 KB Output is correct
3 Correct 50 ms 69964 KB Output is correct
4 Correct 47 ms 70092 KB Output is correct
5 Correct 50 ms 70088 KB Output is correct
6 Correct 43 ms 70116 KB Output is correct
7 Correct 48 ms 70184 KB Output is correct
8 Correct 45 ms 70096 KB Output is correct
9 Correct 57 ms 70040 KB Output is correct
10 Correct 45 ms 70000 KB Output is correct
11 Correct 48 ms 70200 KB Output is correct
12 Correct 50 ms 70168 KB Output is correct
13 Correct 47 ms 70136 KB Output is correct
14 Correct 47 ms 70196 KB Output is correct
15 Correct 49 ms 70152 KB Output is correct
16 Correct 48 ms 70120 KB Output is correct
17 Correct 48 ms 70056 KB Output is correct
18 Correct 48 ms 70160 KB Output is correct
19 Correct 51 ms 70188 KB Output is correct
20 Correct 56 ms 70140 KB Output is correct
21 Correct 50 ms 70188 KB Output is correct
22 Correct 49 ms 70280 KB Output is correct
23 Correct 48 ms 70180 KB Output is correct
24 Correct 50 ms 70184 KB Output is correct
25 Correct 53 ms 70180 KB Output is correct
26 Correct 51 ms 70036 KB Output is correct
27 Correct 50 ms 70092 KB Output is correct
28 Correct 53 ms 70104 KB Output is correct
29 Correct 50 ms 70116 KB Output is correct
30 Correct 50 ms 70092 KB Output is correct
31 Correct 52 ms 70184 KB Output is correct
32 Correct 53 ms 70160 KB Output is correct
33 Correct 49 ms 70160 KB Output is correct
34 Correct 48 ms 70100 KB Output is correct
35 Correct 49 ms 70076 KB Output is correct
36 Correct 51 ms 70100 KB Output is correct
37 Correct 49 ms 70100 KB Output is correct
38 Correct 49 ms 70080 KB Output is correct
39 Correct 49 ms 70184 KB Output is correct
40 Correct 51 ms 70100 KB Output is correct
41 Correct 54 ms 70144 KB Output is correct
42 Correct 51 ms 70184 KB Output is correct
43 Correct 48 ms 70168 KB Output is correct
44 Correct 49 ms 70192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 69916 KB Output is correct
2 Correct 48 ms 69904 KB Output is correct
3 Correct 50 ms 69964 KB Output is correct
4 Correct 47 ms 70092 KB Output is correct
5 Correct 50 ms 70088 KB Output is correct
6 Correct 43 ms 70116 KB Output is correct
7 Correct 48 ms 70184 KB Output is correct
8 Correct 45 ms 70096 KB Output is correct
9 Correct 57 ms 70040 KB Output is correct
10 Correct 45 ms 70000 KB Output is correct
11 Correct 48 ms 70200 KB Output is correct
12 Correct 50 ms 70168 KB Output is correct
13 Correct 47 ms 70136 KB Output is correct
14 Correct 47 ms 70196 KB Output is correct
15 Correct 49 ms 70152 KB Output is correct
16 Correct 48 ms 70120 KB Output is correct
17 Correct 48 ms 70056 KB Output is correct
18 Correct 48 ms 70160 KB Output is correct
19 Correct 51 ms 70188 KB Output is correct
20 Correct 56 ms 70140 KB Output is correct
21 Correct 50 ms 70188 KB Output is correct
22 Correct 49 ms 70280 KB Output is correct
23 Correct 48 ms 70180 KB Output is correct
24 Correct 50 ms 70184 KB Output is correct
25 Correct 53 ms 70180 KB Output is correct
26 Correct 51 ms 70036 KB Output is correct
27 Correct 50 ms 70092 KB Output is correct
28 Correct 53 ms 70104 KB Output is correct
29 Correct 50 ms 70116 KB Output is correct
30 Correct 50 ms 70092 KB Output is correct
31 Correct 52 ms 70184 KB Output is correct
32 Correct 53 ms 70160 KB Output is correct
33 Correct 49 ms 70160 KB Output is correct
34 Correct 48 ms 70100 KB Output is correct
35 Correct 49 ms 70076 KB Output is correct
36 Correct 51 ms 70100 KB Output is correct
37 Correct 49 ms 70100 KB Output is correct
38 Correct 49 ms 70080 KB Output is correct
39 Correct 49 ms 70184 KB Output is correct
40 Correct 51 ms 70100 KB Output is correct
41 Correct 54 ms 70144 KB Output is correct
42 Correct 51 ms 70184 KB Output is correct
43 Correct 48 ms 70168 KB Output is correct
44 Correct 49 ms 70192 KB Output is correct
45 Correct 49 ms 70292 KB Output is correct
46 Correct 58 ms 71244 KB Output is correct
47 Correct 63 ms 71240 KB Output is correct
48 Correct 55 ms 71224 KB Output is correct
49 Correct 47 ms 70592 KB Output is correct
50 Correct 48 ms 70568 KB Output is correct
51 Correct 50 ms 70672 KB Output is correct
52 Correct 53 ms 71468 KB Output is correct
53 Correct 54 ms 71472 KB Output is correct
54 Correct 54 ms 71380 KB Output is correct
55 Correct 54 ms 71500 KB Output is correct
56 Correct 54 ms 71372 KB Output is correct
57 Correct 56 ms 71156 KB Output is correct
58 Correct 59 ms 71236 KB Output is correct
59 Correct 63 ms 71116 KB Output is correct
60 Correct 67 ms 71208 KB Output is correct
61 Correct 53 ms 71388 KB Output is correct
62 Correct 53 ms 71392 KB Output is correct
63 Correct 59 ms 71432 KB Output is correct
64 Correct 65 ms 71204 KB Output is correct
65 Correct 69 ms 71196 KB Output is correct
66 Correct 53 ms 71240 KB Output is correct
67 Correct 53 ms 71244 KB Output is correct
68 Correct 59 ms 70588 KB Output is correct
69 Correct 54 ms 71472 KB Output is correct
70 Correct 52 ms 71472 KB Output is correct
71 Correct 52 ms 71380 KB Output is correct
72 Correct 57 ms 71168 KB Output is correct
73 Correct 57 ms 71196 KB Output is correct
74 Correct 55 ms 71292 KB Output is correct
75 Correct 68 ms 71316 KB Output is correct
76 Correct 55 ms 71276 KB Output is correct
77 Correct 53 ms 71236 KB Output is correct
78 Correct 54 ms 71336 KB Output is correct
79 Correct 53 ms 71308 KB Output is correct
80 Correct 54 ms 71308 KB Output is correct
81 Correct 56 ms 71312 KB Output is correct
82 Correct 55 ms 71236 KB Output is correct
83 Correct 55 ms 71308 KB Output is correct
84 Correct 55 ms 71256 KB Output is correct
85 Correct 62 ms 71308 KB Output is correct
86 Correct 57 ms 71316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 69916 KB Output is correct
2 Correct 48 ms 69904 KB Output is correct
3 Correct 50 ms 69964 KB Output is correct
4 Correct 47 ms 70092 KB Output is correct
5 Correct 50 ms 70088 KB Output is correct
6 Correct 43 ms 70116 KB Output is correct
7 Correct 48 ms 70184 KB Output is correct
8 Correct 45 ms 70096 KB Output is correct
9 Correct 57 ms 70040 KB Output is correct
10 Correct 45 ms 70000 KB Output is correct
11 Correct 48 ms 70200 KB Output is correct
12 Correct 50 ms 70168 KB Output is correct
13 Correct 47 ms 70136 KB Output is correct
14 Correct 47 ms 70196 KB Output is correct
15 Correct 49 ms 70152 KB Output is correct
16 Correct 48 ms 70120 KB Output is correct
17 Correct 48 ms 70056 KB Output is correct
18 Correct 48 ms 70160 KB Output is correct
19 Correct 51 ms 70188 KB Output is correct
20 Correct 56 ms 70140 KB Output is correct
21 Correct 50 ms 70188 KB Output is correct
22 Correct 49 ms 70280 KB Output is correct
23 Correct 48 ms 70180 KB Output is correct
24 Correct 50 ms 70184 KB Output is correct
25 Correct 53 ms 70180 KB Output is correct
26 Correct 51 ms 70036 KB Output is correct
27 Correct 50 ms 70092 KB Output is correct
28 Correct 53 ms 70104 KB Output is correct
29 Correct 50 ms 70116 KB Output is correct
30 Correct 50 ms 70092 KB Output is correct
31 Correct 52 ms 70184 KB Output is correct
32 Correct 53 ms 70160 KB Output is correct
33 Correct 49 ms 70160 KB Output is correct
34 Correct 48 ms 70100 KB Output is correct
35 Correct 49 ms 70076 KB Output is correct
36 Correct 51 ms 70100 KB Output is correct
37 Correct 49 ms 70100 KB Output is correct
38 Correct 49 ms 70080 KB Output is correct
39 Correct 49 ms 70184 KB Output is correct
40 Correct 51 ms 70100 KB Output is correct
41 Correct 54 ms 70144 KB Output is correct
42 Correct 51 ms 70184 KB Output is correct
43 Correct 48 ms 70168 KB Output is correct
44 Correct 49 ms 70192 KB Output is correct
45 Correct 49 ms 70292 KB Output is correct
46 Correct 58 ms 71244 KB Output is correct
47 Correct 63 ms 71240 KB Output is correct
48 Correct 55 ms 71224 KB Output is correct
49 Correct 47 ms 70592 KB Output is correct
50 Correct 48 ms 70568 KB Output is correct
51 Correct 50 ms 70672 KB Output is correct
52 Correct 53 ms 71468 KB Output is correct
53 Correct 54 ms 71472 KB Output is correct
54 Correct 54 ms 71380 KB Output is correct
55 Correct 54 ms 71500 KB Output is correct
56 Correct 54 ms 71372 KB Output is correct
57 Correct 56 ms 71156 KB Output is correct
58 Correct 59 ms 71236 KB Output is correct
59 Correct 63 ms 71116 KB Output is correct
60 Correct 67 ms 71208 KB Output is correct
61 Correct 53 ms 71388 KB Output is correct
62 Correct 53 ms 71392 KB Output is correct
63 Correct 59 ms 71432 KB Output is correct
64 Correct 65 ms 71204 KB Output is correct
65 Correct 69 ms 71196 KB Output is correct
66 Correct 53 ms 71240 KB Output is correct
67 Correct 53 ms 71244 KB Output is correct
68 Correct 59 ms 70588 KB Output is correct
69 Correct 54 ms 71472 KB Output is correct
70 Correct 52 ms 71472 KB Output is correct
71 Correct 52 ms 71380 KB Output is correct
72 Correct 57 ms 71168 KB Output is correct
73 Correct 57 ms 71196 KB Output is correct
74 Correct 55 ms 71292 KB Output is correct
75 Correct 68 ms 71316 KB Output is correct
76 Correct 55 ms 71276 KB Output is correct
77 Correct 53 ms 71236 KB Output is correct
78 Correct 54 ms 71336 KB Output is correct
79 Correct 53 ms 71308 KB Output is correct
80 Correct 54 ms 71308 KB Output is correct
81 Correct 56 ms 71312 KB Output is correct
82 Correct 55 ms 71236 KB Output is correct
83 Correct 55 ms 71308 KB Output is correct
84 Correct 55 ms 71256 KB Output is correct
85 Correct 62 ms 71308 KB Output is correct
86 Correct 57 ms 71316 KB Output is correct
87 Correct 76 ms 73108 KB Output is correct
88 Correct 181 ms 79384 KB Output is correct
89 Correct 1261 ms 101244 KB Output is correct
90 Correct 1217 ms 101404 KB Output is correct
91 Correct 1191 ms 101192 KB Output is correct
92 Correct 1055 ms 84844 KB Output is correct
93 Correct 1002 ms 84860 KB Output is correct
94 Correct 1016 ms 84664 KB Output is correct
95 Correct 1100 ms 106788 KB Output is correct
96 Correct 1032 ms 106736 KB Output is correct
97 Correct 1154 ms 106652 KB Output is correct
98 Correct 1030 ms 106564 KB Output is correct
99 Correct 1231 ms 105364 KB Output is correct
100 Correct 1223 ms 93920 KB Output is correct
101 Correct 1181 ms 93808 KB Output is correct
102 Correct 1193 ms 93648 KB Output is correct
103 Correct 1337 ms 93824 KB Output is correct
104 Correct 1073 ms 105112 KB Output is correct
105 Correct 1048 ms 105120 KB Output is correct
106 Correct 1052 ms 105212 KB Output is correct
107 Correct 1181 ms 101288 KB Output is correct
108 Correct 1151 ms 101384 KB Output is correct
109 Correct 1193 ms 101388 KB Output is correct
110 Correct 967 ms 84704 KB Output is correct
111 Correct 1036 ms 106624 KB Output is correct
112 Correct 987 ms 106620 KB Output is correct
113 Correct 1012 ms 105108 KB Output is correct
114 Correct 1221 ms 93856 KB Output is correct
115 Correct 1157 ms 93612 KB Output is correct
116 Correct 1035 ms 105104 KB Output is correct
117 Correct 1020 ms 103208 KB Output is correct
118 Correct 1071 ms 102620 KB Output is correct
119 Correct 1123 ms 102252 KB Output is correct
120 Correct 1068 ms 103368 KB Output is correct
121 Correct 1135 ms 102556 KB Output is correct
122 Correct 1027 ms 102336 KB Output is correct
123 Correct 1137 ms 103192 KB Output is correct
124 Correct 1160 ms 102672 KB Output is correct
125 Correct 1061 ms 102156 KB Output is correct
126 Correct 1139 ms 103248 KB Output is correct
127 Correct 1050 ms 102660 KB Output is correct
128 Correct 1038 ms 102276 KB Output is correct