oj.uz

Submission #604566

# Submission time Handle Problem Language Result Execution time Memory
604566 2022-07-25T07:41:38 Z amunduzbaev Construction of Highway (JOI18_construction) C++17
100 / 100
 918 ms 36540 KB 
#include "bits/stdc++.h"
using namespace std;

#define ar array
typedef int64_t ll;
#define int ll
#define her cout<<"here"<<endl;

const int N = 1e5 + 5;
vector<int> edges[N];
int a[N], v[N], par[N][20];
int tin[N], tout[N], t, d[N];

void dfs(int u){
	tin[u] = ++t;
	for(int j=1;j<20;j++){
		par[u][j] = par[par[u][j-1]][j-1];
	}
	for(auto x : edges[u]){
		if(x == par[u][0]) continue;
		d[x] = d[u] + 1;
		par[x][0] = u;
		dfs(x);
	}
	
	tout[u] = t;
}

bool is(int a, int b){
	return tin[a] <= tin[b] && tout[b] <= tout[a];
}

int lca(int a, int b){
	assert(!is(a, b) && !is(b, a));
	for(int j=19;~j;j--){
		if(!is(par[a][j], b)) a = par[a][j];
	}
	
	return a;
}

struct BIT{
	int tree[N];
	void add(int i, int v){
		for(;i<N;i+=(i&-i)) tree[i] += v;
	}
	
	int get(int i){
		int r = 0;
		for(;i>0;i-=(i&-i)) r += tree[i];
		return r;
	}
	
	int get(int l, int r){
		return get(r) - get(--l);
	}
}tree;

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n; cin >> n;
	for(int i=1;i<=n;i++) cin >> a[i];
	vector<int> p(n); iota(p.begin(), p.end(), 1);
	sort(p.begin(), p.end(), [&](int i, int j){
		return (a[i] < a[j]);
	});
	for(int i=0,last=0,j=0;i<n;){
		while(j<n && a[p[j]] == a[p[i]]) j++;
		last++;
		while(i < j) a[p[i]] = last, i++;
	}
	vector<ar<int, 2>> e;
	for(int i=1;i<n;i++){
		int a, b; cin >> a >> b;
		e.push_back({a, b});
		edges[a].push_back(b);
		edges[b].push_back(a);
	}
	
	par[1][0] = 1;
	dfs(1);
	v[1] = 1;
	
	for(auto [a, b] : e){
		int c = 1;
		vector<ar<int, 2>> t;
		while(!is(v[c], b) && c != b){
			//~ cout<<c<<" "<<v[c]<<" "<<b<<endl;
			int u = lca(b, v[c]);
			int x = lca(v[c], b);
			v[x] = v[c];
			t.push_back({d[u] - d[c], ::a[v[c]]});
			c = u;
		}
		//~ assert(v[c] == a);
		if(c != b) t.push_back({d[b] - d[c], ::a[v[c]]});
		v[1] = b;
		int res = 0;
		//~ for(auto x : t) cout<<x[0]<<" ";
		//~ cout<<"\n";
		//~ for(auto x : t) cout<<x[1]<<" ";
		//~ cout<<"\n";
		for(auto x : t){
			tree.add(x[1], x[0]);
			res += tree.get(x[1] + 1, N) * x[0];
		}
		
		cout<<res<<"\n";
		for(auto x : t){
			tree.add(x[1], -x[0]);
		}
		
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2680 KB Output is correct
4 Correct 2 ms 2820 KB Output is correct
5 Correct 4 ms 2772 KB Output is correct
6 Correct 3 ms 2772 KB Output is correct
7 Correct 3 ms 2888 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 3 ms 2820 KB Output is correct
10 Correct 3 ms 2900 KB Output is correct
11 Correct 3 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 3 ms 2900 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 3 ms 2780 KB Output is correct
16 Correct 3 ms 2884 KB Output is correct
17 Correct 3 ms 2772 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 3 ms 2820 KB Output is correct
21 Correct 3 ms 2772 KB Output is correct
22 Correct 4 ms 2772 KB Output is correct
23 Correct 3 ms 2876 KB Output is correct
24 Correct 4 ms 2772 KB Output is correct
25 Correct 4 ms 2772 KB Output is correct
26 Correct 2 ms 2848 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2900 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 4 ms 2772 KB Output is correct
31 Correct 3 ms 2816 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 3 ms 2772 KB Output is correct
34 Correct 3 ms 2772 KB Output is correct
35 Correct 3 ms 2812 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2816 KB Output is correct
40 Correct 3 ms 2772 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2816 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2812 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2680 KB Output is correct
4 Correct 2 ms 2820 KB Output is correct
5 Correct 4 ms 2772 KB Output is correct
6 Correct 3 ms 2772 KB Output is correct
7 Correct 3 ms 2888 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 3 ms 2820 KB Output is correct
10 Correct 3 ms 2900 KB Output is correct
11 Correct 3 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 3 ms 2900 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 3 ms 2780 KB Output is correct
16 Correct 3 ms 2884 KB Output is correct
17 Correct 3 ms 2772 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 3 ms 2820 KB Output is correct
21 Correct 3 ms 2772 KB Output is correct
22 Correct 4 ms 2772 KB Output is correct
23 Correct 3 ms 2876 KB Output is correct
24 Correct 4 ms 2772 KB Output is correct
25 Correct 4 ms 2772 KB Output is correct
26 Correct 2 ms 2848 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2900 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 4 ms 2772 KB Output is correct
31 Correct 3 ms 2816 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 3 ms 2772 KB Output is correct
34 Correct 3 ms 2772 KB Output is correct
35 Correct 3 ms 2812 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2816 KB Output is correct
40 Correct 3 ms 2772 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2816 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2812 KB Output is correct
45 Correct 3 ms 3028 KB Output is correct
46 Correct 10 ms 3844 KB Output is correct
47 Correct 10 ms 3876 KB Output is correct
48 Correct 10 ms 3876 KB Output is correct
49 Correct 6 ms 3944 KB Output is correct
50 Correct 5 ms 3976 KB Output is correct
51 Correct 6 ms 4052 KB Output is correct
52 Correct 7 ms 3972 KB Output is correct
53 Correct 7 ms 4048 KB Output is correct
54 Correct 7 ms 4052 KB Output is correct
55 Correct 6 ms 4052 KB Output is correct
56 Correct 6 ms 3924 KB Output is correct
57 Correct 19 ms 3780 KB Output is correct
58 Correct 16 ms 3796 KB Output is correct
59 Correct 17 ms 3856 KB Output is correct
60 Correct 21 ms 3840 KB Output is correct
61 Correct 7 ms 3924 KB Output is correct
62 Correct 8 ms 3924 KB Output is correct
63 Correct 7 ms 3924 KB Output is correct
64 Correct 10 ms 3796 KB Output is correct
65 Correct 11 ms 3796 KB Output is correct
66 Correct 10 ms 3824 KB Output is correct
67 Correct 10 ms 3796 KB Output is correct
68 Correct 6 ms 3924 KB Output is correct
69 Correct 6 ms 3972 KB Output is correct
70 Correct 6 ms 3972 KB Output is correct
71 Correct 6 ms 3924 KB Output is correct
72 Correct 18 ms 3844 KB Output is correct
73 Correct 19 ms 3796 KB Output is correct
74 Correct 7 ms 3924 KB Output is correct
75 Correct 8 ms 3924 KB Output is correct
76 Correct 6 ms 3796 KB Output is correct
77 Correct 7 ms 3796 KB Output is correct
78 Correct 6 ms 3796 KB Output is correct
79 Correct 6 ms 3796 KB Output is correct
80 Correct 6 ms 3836 KB Output is correct
81 Correct 7 ms 3924 KB Output is correct
82 Correct 8 ms 3796 KB Output is correct
83 Correct 10 ms 3840 KB Output is correct
84 Correct 6 ms 3796 KB Output is correct
85 Correct 8 ms 3796 KB Output is correct
86 Correct 10 ms 3796 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2680 KB Output is correct
4 Correct 2 ms 2820 KB Output is correct
5 Correct 4 ms 2772 KB Output is correct
6 Correct 3 ms 2772 KB Output is correct
7 Correct 3 ms 2888 KB Output is correct
8 Correct 3 ms 2900 KB Output is correct
9 Correct 3 ms 2820 KB Output is correct
10 Correct 3 ms 2900 KB Output is correct
11 Correct 3 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 3 ms 2900 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 3 ms 2780 KB Output is correct
16 Correct 3 ms 2884 KB Output is correct
17 Correct 3 ms 2772 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 3 ms 2820 KB Output is correct
21 Correct 3 ms 2772 KB Output is correct
22 Correct 4 ms 2772 KB Output is correct
23 Correct 3 ms 2876 KB Output is correct
24 Correct 4 ms 2772 KB Output is correct
25 Correct 4 ms 2772 KB Output is correct
26 Correct 2 ms 2848 KB Output is correct
27 Correct 2 ms 2900 KB Output is correct
28 Correct 2 ms 2900 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 4 ms 2772 KB Output is correct
31 Correct 3 ms 2816 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 3 ms 2772 KB Output is correct
34 Correct 3 ms 2772 KB Output is correct
35 Correct 3 ms 2812 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2816 KB Output is correct
40 Correct 3 ms 2772 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2816 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2812 KB Output is correct
45 Correct 3 ms 3028 KB Output is correct
46 Correct 10 ms 3844 KB Output is correct
47 Correct 10 ms 3876 KB Output is correct
48 Correct 10 ms 3876 KB Output is correct
49 Correct 6 ms 3944 KB Output is correct
50 Correct 5 ms 3976 KB Output is correct
51 Correct 6 ms 4052 KB Output is correct
52 Correct 7 ms 3972 KB Output is correct
53 Correct 7 ms 4048 KB Output is correct
54 Correct 7 ms 4052 KB Output is correct
55 Correct 6 ms 4052 KB Output is correct
56 Correct 6 ms 3924 KB Output is correct
57 Correct 19 ms 3780 KB Output is correct
58 Correct 16 ms 3796 KB Output is correct
59 Correct 17 ms 3856 KB Output is correct
60 Correct 21 ms 3840 KB Output is correct
61 Correct 7 ms 3924 KB Output is correct
62 Correct 8 ms 3924 KB Output is correct
63 Correct 7 ms 3924 KB Output is correct
64 Correct 10 ms 3796 KB Output is correct
65 Correct 11 ms 3796 KB Output is correct
66 Correct 10 ms 3824 KB Output is correct
67 Correct 10 ms 3796 KB Output is correct
68 Correct 6 ms 3924 KB Output is correct
69 Correct 6 ms 3972 KB Output is correct
70 Correct 6 ms 3972 KB Output is correct
71 Correct 6 ms 3924 KB Output is correct
72 Correct 18 ms 3844 KB Output is correct
73 Correct 19 ms 3796 KB Output is correct
74 Correct 7 ms 3924 KB Output is correct
75 Correct 8 ms 3924 KB Output is correct
76 Correct 6 ms 3796 KB Output is correct
77 Correct 7 ms 3796 KB Output is correct
78 Correct 6 ms 3796 KB Output is correct
79 Correct 6 ms 3796 KB Output is correct
80 Correct 6 ms 3836 KB Output is correct
81 Correct 7 ms 3924 KB Output is correct
82 Correct 8 ms 3796 KB Output is correct
83 Correct 10 ms 3840 KB Output is correct
84 Correct 6 ms 3796 KB Output is correct
85 Correct 8 ms 3796 KB Output is correct
86 Correct 10 ms 3796 KB Output is correct
87 Correct 28 ms 5584 KB Output is correct
88 Correct 100 ms 11308 KB Output is correct
89 Correct 425 ms 31492 KB Output is correct
90 Correct 498 ms 31468 KB Output is correct
91 Correct 439 ms 31588 KB Output is correct
92 Correct 139 ms 36272 KB Output is correct
93 Correct 114 ms 36248 KB Output is correct
94 Correct 117 ms 36220 KB Output is correct
95 Correct 228 ms 36156 KB Output is correct
96 Correct 192 ms 36452 KB Output is correct
97 Correct 206 ms 36540 KB Output is correct
98 Correct 198 ms 36476 KB Output is correct
99 Correct 199 ms 34876 KB Output is correct
100 Correct 792 ms 31124 KB Output is correct
101 Correct 918 ms 31436 KB Output is correct
102 Correct 825 ms 31464 KB Output is correct
103 Correct 789 ms 31352 KB Output is correct
104 Correct 297 ms 34776 KB Output is correct
105 Correct 255 ms 34764 KB Output is correct
106 Correct 290 ms 34788 KB Output is correct
107 Correct 372 ms 29904 KB Output is correct
108 Correct 407 ms 30088 KB Output is correct
109 Correct 375 ms 30600 KB Output is correct
110 Correct 123 ms 34840 KB Output is correct
111 Correct 187 ms 36148 KB Output is correct
112 Correct 174 ms 35360 KB Output is correct
113 Correct 185 ms 33508 KB Output is correct
114 Correct 758 ms 31124 KB Output is correct
115 Correct 753 ms 30160 KB Output is correct
116 Correct 261 ms 33468 KB Output is correct
117 Correct 168 ms 32920 KB Output is correct
118 Correct 180 ms 32400 KB Output is correct
119 Correct 166 ms 32104 KB Output is correct
120 Correct 168 ms 31836 KB Output is correct
121 Correct 185 ms 31448 KB Output is correct
122 Correct 172 ms 31016 KB Output is correct
123 Correct 274 ms 33048 KB Output is correct
124 Correct 294 ms 32520 KB Output is correct
125 Correct 278 ms 32220 KB Output is correct
126 Correct 294 ms 31892 KB Output is correct
127 Correct 265 ms 31428 KB Output is correct
128 Correct 260 ms 31112 KB Output is correct