Submission #996976

# Submission time Handle Problem Language Result Execution time Memory
996976 2024-06-11T14:25:17 Z Dan4Life Swapping Cities (APIO20_swap) C++17
100 / 100
188 ms 71132 KB
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
 
#define all(a) begin(a),end(a)
#define sz(a) (int)a.size()
#define pb push_back
 
const int mxN = (int)4e5+10;
const int mxLg = 20;
int n, m, newN, deg[mxN];
int p[mxN], line[mxN], good[mxN]; 
vector<array<int,3>> edges;
int jmp[mxLg][mxN], dep[mxN];
vector<int> adj[mxN];

int findSet(int i){return p[i]==i?i:p[i]=findSet(p[i]);}
bool isSameSet(int i, int j) { return findSet(i)==findSet(j); }
 
void unionSet(int i, int j){
	deg[i]++, deg[j]++;
	
	int x = findSet(i), y = findSet(j);
	
	if(x==y) line[x] = 0;
	if(!line[x] or !line[y] or deg[i]>=3 or deg[j]>=3 or good[x] or good[y])
		line[x]=line[y]=0, good[newN]=1;
		
	adj[newN].pb(y),adj[y].pb(newN);
	if(x!=y) adj[newN].pb(x),adj[x].pb(newN);
	
	p[y] = p[x] = p[newN] = newN; newN++;
}
 
void dfs(int s, int p){
	if(p!=-1) dep[s] = dep[p]+1;
	else dep[s] = 0;
	jmp[0][s] = p;
	for(auto u : adj[s]) 
		if(u!=p) dfs(u,s);
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
	n = N, m = M; newN = N;
	for(int i = 0; i < N+M; i++) 
		p[i]=i,deg[i]=0,line[i]=1;
	for(int i = 0; i < M; i++)
		edges.pb({W[i],U[i],V[i]});
	sort(all(edges),[&](array<int,3> a, array<int,3> b){
		return a[0]<b[0];
	});
	
	memset(jmp,-1,sizeof(jmp));
	
	for(int i = 0; i < M; i++)
		unionSet(edges[i][1],edges[i][2]);
		
	for(int i = newN-1; i>=0; i--) 
		if(!dep[i]) dfs(i,-1);
		
	for(int i = 1; i < mxLg; i++)
		for(int j = 0; j < newN; j++)
			if(jmp[i-1][j]!=-1) jmp[i][j] = jmp[i-1][jmp[i-1][j]];
}

int jump(int s, int x){
	for(int k = mxLg-1; k>=0 and s!=-1; k--)
		if((x>>k)&1) s = jmp[k][s];
	return s;
}

int lca(int a, int b){
	if(a==b) return a;
	if(jmp[0][a]==jmp[0][b]) return jmp[0][a];
	if(dep[a]>dep[b]) swap(a,b);
	if(dep[a]!=dep[b]) b = jump(b,dep[b]-dep[a]); 
	for(int i = mxLg-1; i>=0; i--)
		if(jmp[i][a]!=jmp[i][b] and jmp[i][a]!=-1) 
			a=jmp[i][a],b=jmp[i][b];
	if(jmp[0][a]!=jmp[0][b] or jmp[0][a]==-1) return -1;
	return jmp[0][a];
}

int findNearestAnc(int s){
	if(s==-1 or good[s]) return s;
	for(int i = mxLg-1; i>=0; i--)
		if(jmp[i][s]!=-1 and !good[jmp[i][s]])
			s = jmp[i][s];
	if(jmp[0][s]==-1 or !good[jmp[0][s]]) return -1;
	return jmp[0][s];
}

int getMinimumFuelCapacity(int X, int Y) {
	int Z = findNearestAnc(lca(X,Y));
	return Z==-1?-1:edges[Z-n][0];
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47720 KB Output is correct
3 Correct 6 ms 47708 KB Output is correct
4 Correct 6 ms 47816 KB Output is correct
5 Correct 6 ms 47708 KB Output is correct
6 Correct 7 ms 47764 KB Output is correct
7 Correct 7 ms 47708 KB Output is correct
8 Correct 6 ms 47708 KB Output is correct
9 Correct 56 ms 55444 KB Output is correct
10 Correct 67 ms 57420 KB Output is correct
11 Correct 62 ms 57288 KB Output is correct
12 Correct 62 ms 57796 KB Output is correct
13 Correct 66 ms 60356 KB Output is correct
14 Correct 56 ms 55752 KB Output is correct
15 Correct 128 ms 59216 KB Output is correct
16 Correct 126 ms 58996 KB Output is correct
17 Correct 127 ms 59692 KB Output is correct
18 Correct 160 ms 61992 KB Output is correct
19 Correct 64 ms 52760 KB Output is correct
20 Correct 129 ms 60484 KB Output is correct
21 Correct 127 ms 60420 KB Output is correct
22 Correct 135 ms 60940 KB Output is correct
23 Correct 158 ms 63440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47720 KB Output is correct
3 Correct 132 ms 64872 KB Output is correct
4 Correct 126 ms 65324 KB Output is correct
5 Correct 124 ms 65112 KB Output is correct
6 Correct 128 ms 65320 KB Output is correct
7 Correct 141 ms 65352 KB Output is correct
8 Correct 132 ms 64632 KB Output is correct
9 Correct 126 ms 65088 KB Output is correct
10 Correct 131 ms 64644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47720 KB Output is correct
3 Correct 6 ms 47708 KB Output is correct
4 Correct 6 ms 47816 KB Output is correct
5 Correct 6 ms 47708 KB Output is correct
6 Correct 7 ms 47764 KB Output is correct
7 Correct 7 ms 47708 KB Output is correct
8 Correct 6 ms 47708 KB Output is correct
9 Correct 6 ms 47704 KB Output is correct
10 Correct 6 ms 47704 KB Output is correct
11 Correct 6 ms 47708 KB Output is correct
12 Correct 6 ms 47836 KB Output is correct
13 Correct 10 ms 47980 KB Output is correct
14 Correct 7 ms 47708 KB Output is correct
15 Correct 7 ms 47708 KB Output is correct
16 Correct 6 ms 47704 KB Output is correct
17 Correct 7 ms 47848 KB Output is correct
18 Correct 7 ms 47708 KB Output is correct
19 Correct 6 ms 47912 KB Output is correct
20 Correct 6 ms 47708 KB Output is correct
21 Correct 7 ms 47768 KB Output is correct
22 Correct 7 ms 47964 KB Output is correct
23 Correct 6 ms 47708 KB Output is correct
24 Correct 7 ms 47964 KB Output is correct
25 Correct 7 ms 47856 KB Output is correct
26 Correct 7 ms 47964 KB Output is correct
27 Correct 6 ms 47708 KB Output is correct
28 Correct 7 ms 48016 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47704 KB Output is correct
2 Correct 6 ms 47708 KB Output is correct
3 Correct 6 ms 47720 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 6 ms 47816 KB Output is correct
6 Correct 6 ms 47708 KB Output is correct
7 Correct 7 ms 47764 KB Output is correct
8 Correct 7 ms 47708 KB Output is correct
9 Correct 6 ms 47708 KB Output is correct
10 Correct 56 ms 55444 KB Output is correct
11 Correct 67 ms 57420 KB Output is correct
12 Correct 62 ms 57288 KB Output is correct
13 Correct 62 ms 57796 KB Output is correct
14 Correct 66 ms 60356 KB Output is correct
15 Correct 6 ms 47704 KB Output is correct
16 Correct 6 ms 47708 KB Output is correct
17 Correct 6 ms 47836 KB Output is correct
18 Correct 10 ms 47980 KB Output is correct
19 Correct 7 ms 47708 KB Output is correct
20 Correct 7 ms 47708 KB Output is correct
21 Correct 6 ms 47704 KB Output is correct
22 Correct 7 ms 47848 KB Output is correct
23 Correct 7 ms 47708 KB Output is correct
24 Correct 6 ms 47912 KB Output is correct
25 Correct 6 ms 47708 KB Output is correct
26 Correct 7 ms 47768 KB Output is correct
27 Correct 7 ms 47964 KB Output is correct
28 Correct 6 ms 47708 KB Output is correct
29 Correct 7 ms 47964 KB Output is correct
30 Correct 7 ms 47856 KB Output is correct
31 Correct 7 ms 47964 KB Output is correct
32 Correct 6 ms 47708 KB Output is correct
33 Correct 7 ms 48016 KB Output is correct
34 Correct 14 ms 48924 KB Output is correct
35 Correct 74 ms 57884 KB Output is correct
36 Correct 64 ms 57800 KB Output is correct
37 Correct 64 ms 57796 KB Output is correct
38 Correct 63 ms 57732 KB Output is correct
39 Correct 62 ms 57540 KB Output is correct
40 Correct 58 ms 56772 KB Output is correct
41 Correct 65 ms 57800 KB Output is correct
42 Correct 63 ms 57800 KB Output is correct
43 Correct 60 ms 60872 KB Output is correct
44 Correct 69 ms 57796 KB Output is correct
45 Correct 96 ms 65460 KB Output is correct
46 Correct 62 ms 57800 KB Output is correct
47 Correct 65 ms 58056 KB Output is correct
48 Correct 67 ms 60236 KB Output is correct
49 Correct 69 ms 65728 KB Output is correct
50 Correct 65 ms 61792 KB Output is correct
51 Correct 76 ms 62660 KB Output is correct
52 Correct 95 ms 65116 KB Output is correct
53 Correct 109 ms 66344 KB Output is correct
54 Correct 115 ms 70336 KB Output is correct
55 Correct 59 ms 60612 KB Output is correct
56 Correct 110 ms 68048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47720 KB Output is correct
3 Correct 6 ms 47708 KB Output is correct
4 Correct 6 ms 47816 KB Output is correct
5 Correct 6 ms 47708 KB Output is correct
6 Correct 7 ms 47764 KB Output is correct
7 Correct 7 ms 47708 KB Output is correct
8 Correct 6 ms 47708 KB Output is correct
9 Correct 56 ms 55444 KB Output is correct
10 Correct 67 ms 57420 KB Output is correct
11 Correct 62 ms 57288 KB Output is correct
12 Correct 62 ms 57796 KB Output is correct
13 Correct 66 ms 60356 KB Output is correct
14 Correct 56 ms 55752 KB Output is correct
15 Correct 128 ms 59216 KB Output is correct
16 Correct 126 ms 58996 KB Output is correct
17 Correct 127 ms 59692 KB Output is correct
18 Correct 160 ms 61992 KB Output is correct
19 Correct 132 ms 64872 KB Output is correct
20 Correct 126 ms 65324 KB Output is correct
21 Correct 124 ms 65112 KB Output is correct
22 Correct 128 ms 65320 KB Output is correct
23 Correct 141 ms 65352 KB Output is correct
24 Correct 132 ms 64632 KB Output is correct
25 Correct 126 ms 65088 KB Output is correct
26 Correct 131 ms 64644 KB Output is correct
27 Correct 6 ms 47704 KB Output is correct
28 Correct 6 ms 47708 KB Output is correct
29 Correct 6 ms 47836 KB Output is correct
30 Correct 10 ms 47980 KB Output is correct
31 Correct 7 ms 47708 KB Output is correct
32 Correct 7 ms 47708 KB Output is correct
33 Correct 6 ms 47704 KB Output is correct
34 Correct 7 ms 47848 KB Output is correct
35 Correct 7 ms 47708 KB Output is correct
36 Correct 14 ms 48924 KB Output is correct
37 Correct 74 ms 57884 KB Output is correct
38 Correct 64 ms 57800 KB Output is correct
39 Correct 64 ms 57796 KB Output is correct
40 Correct 63 ms 57732 KB Output is correct
41 Correct 62 ms 57540 KB Output is correct
42 Correct 58 ms 56772 KB Output is correct
43 Correct 65 ms 57800 KB Output is correct
44 Correct 63 ms 57800 KB Output is correct
45 Correct 60 ms 60872 KB Output is correct
46 Correct 69 ms 57796 KB Output is correct
47 Correct 19 ms 49180 KB Output is correct
48 Correct 124 ms 60460 KB Output is correct
49 Correct 121 ms 60364 KB Output is correct
50 Correct 125 ms 60412 KB Output is correct
51 Correct 133 ms 60476 KB Output is correct
52 Correct 121 ms 59768 KB Output is correct
53 Correct 121 ms 57880 KB Output is correct
54 Correct 125 ms 60952 KB Output is correct
55 Correct 133 ms 60448 KB Output is correct
56 Correct 137 ms 62768 KB Output is correct
57 Correct 134 ms 61172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 47704 KB Output is correct
2 Correct 6 ms 47708 KB Output is correct
3 Correct 6 ms 47720 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 6 ms 47816 KB Output is correct
6 Correct 6 ms 47708 KB Output is correct
7 Correct 7 ms 47764 KB Output is correct
8 Correct 7 ms 47708 KB Output is correct
9 Correct 6 ms 47708 KB Output is correct
10 Correct 56 ms 55444 KB Output is correct
11 Correct 67 ms 57420 KB Output is correct
12 Correct 62 ms 57288 KB Output is correct
13 Correct 62 ms 57796 KB Output is correct
14 Correct 66 ms 60356 KB Output is correct
15 Correct 56 ms 55752 KB Output is correct
16 Correct 128 ms 59216 KB Output is correct
17 Correct 126 ms 58996 KB Output is correct
18 Correct 127 ms 59692 KB Output is correct
19 Correct 160 ms 61992 KB Output is correct
20 Correct 132 ms 64872 KB Output is correct
21 Correct 126 ms 65324 KB Output is correct
22 Correct 124 ms 65112 KB Output is correct
23 Correct 128 ms 65320 KB Output is correct
24 Correct 141 ms 65352 KB Output is correct
25 Correct 132 ms 64632 KB Output is correct
26 Correct 126 ms 65088 KB Output is correct
27 Correct 131 ms 64644 KB Output is correct
28 Correct 6 ms 47704 KB Output is correct
29 Correct 6 ms 47708 KB Output is correct
30 Correct 6 ms 47836 KB Output is correct
31 Correct 10 ms 47980 KB Output is correct
32 Correct 7 ms 47708 KB Output is correct
33 Correct 7 ms 47708 KB Output is correct
34 Correct 6 ms 47704 KB Output is correct
35 Correct 7 ms 47848 KB Output is correct
36 Correct 7 ms 47708 KB Output is correct
37 Correct 14 ms 48924 KB Output is correct
38 Correct 74 ms 57884 KB Output is correct
39 Correct 64 ms 57800 KB Output is correct
40 Correct 64 ms 57796 KB Output is correct
41 Correct 63 ms 57732 KB Output is correct
42 Correct 62 ms 57540 KB Output is correct
43 Correct 58 ms 56772 KB Output is correct
44 Correct 65 ms 57800 KB Output is correct
45 Correct 63 ms 57800 KB Output is correct
46 Correct 60 ms 60872 KB Output is correct
47 Correct 69 ms 57796 KB Output is correct
48 Correct 19 ms 49180 KB Output is correct
49 Correct 124 ms 60460 KB Output is correct
50 Correct 121 ms 60364 KB Output is correct
51 Correct 125 ms 60412 KB Output is correct
52 Correct 133 ms 60476 KB Output is correct
53 Correct 121 ms 59768 KB Output is correct
54 Correct 121 ms 57880 KB Output is correct
55 Correct 125 ms 60952 KB Output is correct
56 Correct 133 ms 60448 KB Output is correct
57 Correct 137 ms 62768 KB Output is correct
58 Correct 134 ms 61172 KB Output is correct
59 Correct 64 ms 52760 KB Output is correct
60 Correct 129 ms 60484 KB Output is correct
61 Correct 127 ms 60420 KB Output is correct
62 Correct 135 ms 60940 KB Output is correct
63 Correct 158 ms 63440 KB Output is correct
64 Correct 6 ms 47912 KB Output is correct
65 Correct 6 ms 47708 KB Output is correct
66 Correct 7 ms 47768 KB Output is correct
67 Correct 7 ms 47964 KB Output is correct
68 Correct 6 ms 47708 KB Output is correct
69 Correct 7 ms 47964 KB Output is correct
70 Correct 7 ms 47856 KB Output is correct
71 Correct 7 ms 47964 KB Output is correct
72 Correct 6 ms 47708 KB Output is correct
73 Correct 7 ms 48016 KB Output is correct
74 Correct 96 ms 65460 KB Output is correct
75 Correct 62 ms 57800 KB Output is correct
76 Correct 65 ms 58056 KB Output is correct
77 Correct 67 ms 60236 KB Output is correct
78 Correct 69 ms 65728 KB Output is correct
79 Correct 65 ms 61792 KB Output is correct
80 Correct 76 ms 62660 KB Output is correct
81 Correct 95 ms 65116 KB Output is correct
82 Correct 109 ms 66344 KB Output is correct
83 Correct 115 ms 70336 KB Output is correct
84 Correct 59 ms 60612 KB Output is correct
85 Correct 110 ms 68048 KB Output is correct
86 Correct 51 ms 53884 KB Output is correct
87 Correct 131 ms 60456 KB Output is correct
88 Correct 128 ms 60408 KB Output is correct
89 Correct 153 ms 62480 KB Output is correct
90 Correct 131 ms 69144 KB Output is correct
91 Correct 146 ms 68064 KB Output is correct
92 Correct 150 ms 64808 KB Output is correct
93 Correct 167 ms 67308 KB Output is correct
94 Correct 188 ms 68524 KB Output is correct
95 Correct 187 ms 71132 KB Output is correct
96 Correct 140 ms 63020 KB Output is correct
97 Correct 176 ms 65924 KB Output is correct