Submission #996980

# Submission time Handle Problem Language Result Execution time Memory
996980 2024-06-11T14:27:07 Z Dan4Life Swapping Cities (APIO20_swap) C++17
100 / 100
214 ms 55840 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)3e5+10;
const int mxLg = 17;
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 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 4 ms 31576 KB Output is correct
4 Correct 4 ms 31424 KB Output is correct
5 Correct 5 ms 31324 KB Output is correct
6 Correct 4 ms 31324 KB Output is correct
7 Correct 4 ms 31324 KB Output is correct
8 Correct 4 ms 31324 KB Output is correct
9 Correct 47 ms 39880 KB Output is correct
10 Correct 58 ms 41672 KB Output is correct
11 Correct 57 ms 41556 KB Output is correct
12 Correct 61 ms 42128 KB Output is correct
13 Correct 65 ms 44544 KB Output is correct
14 Correct 67 ms 39880 KB Output is correct
15 Correct 120 ms 43640 KB Output is correct
16 Correct 129 ms 43380 KB Output is correct
17 Correct 122 ms 43896 KB Output is correct
18 Correct 161 ms 46348 KB Output is correct
19 Correct 60 ms 36372 KB Output is correct
20 Correct 120 ms 44864 KB Output is correct
21 Correct 128 ms 44672 KB Output is correct
22 Correct 130 ms 45336 KB Output is correct
23 Correct 159 ms 47640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 128 ms 49072 KB Output is correct
4 Correct 115 ms 49708 KB Output is correct
5 Correct 123 ms 49504 KB Output is correct
6 Correct 116 ms 49708 KB Output is correct
7 Correct 129 ms 49736 KB Output is correct
8 Correct 117 ms 49012 KB Output is correct
9 Correct 118 ms 49472 KB Output is correct
10 Correct 131 ms 48864 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 4 ms 31576 KB Output is correct
4 Correct 4 ms 31424 KB Output is correct
5 Correct 5 ms 31324 KB Output is correct
6 Correct 4 ms 31324 KB Output is correct
7 Correct 4 ms 31324 KB Output is correct
8 Correct 4 ms 31324 KB Output is correct
9 Correct 4 ms 31324 KB Output is correct
10 Correct 4 ms 31324 KB Output is correct
11 Correct 4 ms 31324 KB Output is correct
12 Correct 4 ms 31324 KB Output is correct
13 Correct 5 ms 31420 KB Output is correct
14 Correct 4 ms 31492 KB Output is correct
15 Correct 5 ms 31320 KB Output is correct
16 Correct 4 ms 31432 KB Output is correct
17 Correct 4 ms 31440 KB Output is correct
18 Correct 4 ms 31324 KB Output is correct
19 Correct 5 ms 31324 KB Output is correct
20 Correct 4 ms 31452 KB Output is correct
21 Correct 5 ms 31472 KB Output is correct
22 Correct 4 ms 31580 KB Output is correct
23 Correct 4 ms 31324 KB Output is correct
24 Correct 5 ms 31580 KB Output is correct
25 Correct 5 ms 31580 KB Output is correct
26 Correct 5 ms 31580 KB Output is correct
27 Correct 5 ms 31324 KB Output is correct
28 Correct 4 ms 31580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 4 ms 31324 KB Output is correct
4 Correct 4 ms 31576 KB Output is correct
5 Correct 4 ms 31424 KB Output is correct
6 Correct 5 ms 31324 KB Output is correct
7 Correct 4 ms 31324 KB Output is correct
8 Correct 4 ms 31324 KB Output is correct
9 Correct 4 ms 31324 KB Output is correct
10 Correct 47 ms 39880 KB Output is correct
11 Correct 58 ms 41672 KB Output is correct
12 Correct 57 ms 41556 KB Output is correct
13 Correct 61 ms 42128 KB Output is correct
14 Correct 65 ms 44544 KB Output is correct
15 Correct 4 ms 31324 KB Output is correct
16 Correct 4 ms 31324 KB Output is correct
17 Correct 4 ms 31324 KB Output is correct
18 Correct 5 ms 31420 KB Output is correct
19 Correct 4 ms 31492 KB Output is correct
20 Correct 5 ms 31320 KB Output is correct
21 Correct 4 ms 31432 KB Output is correct
22 Correct 4 ms 31440 KB Output is correct
23 Correct 4 ms 31324 KB Output is correct
24 Correct 5 ms 31324 KB Output is correct
25 Correct 4 ms 31452 KB Output is correct
26 Correct 5 ms 31472 KB Output is correct
27 Correct 4 ms 31580 KB Output is correct
28 Correct 4 ms 31324 KB Output is correct
29 Correct 5 ms 31580 KB Output is correct
30 Correct 5 ms 31580 KB Output is correct
31 Correct 5 ms 31580 KB Output is correct
32 Correct 5 ms 31324 KB Output is correct
33 Correct 4 ms 31580 KB Output is correct
34 Correct 12 ms 32796 KB Output is correct
35 Correct 59 ms 42324 KB Output is correct
36 Correct 63 ms 42184 KB Output is correct
37 Correct 59 ms 42308 KB Output is correct
38 Correct 60 ms 41924 KB Output is correct
39 Correct 63 ms 41932 KB Output is correct
40 Correct 66 ms 41028 KB Output is correct
41 Correct 64 ms 42128 KB Output is correct
42 Correct 65 ms 42120 KB Output is correct
43 Correct 73 ms 45256 KB Output is correct
44 Correct 69 ms 42120 KB Output is correct
45 Correct 90 ms 50020 KB Output is correct
46 Correct 62 ms 42332 KB Output is correct
47 Correct 76 ms 42332 KB Output is correct
48 Correct 73 ms 44744 KB Output is correct
49 Correct 76 ms 50996 KB Output is correct
50 Correct 55 ms 45508 KB Output is correct
51 Correct 71 ms 46812 KB Output is correct
52 Correct 99 ms 49596 KB Output is correct
53 Correct 110 ms 50624 KB Output is correct
54 Correct 116 ms 54284 KB Output is correct
55 Correct 56 ms 44888 KB Output is correct
56 Correct 101 ms 52932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 4 ms 31576 KB Output is correct
4 Correct 4 ms 31424 KB Output is correct
5 Correct 5 ms 31324 KB Output is correct
6 Correct 4 ms 31324 KB Output is correct
7 Correct 4 ms 31324 KB Output is correct
8 Correct 4 ms 31324 KB Output is correct
9 Correct 47 ms 39880 KB Output is correct
10 Correct 58 ms 41672 KB Output is correct
11 Correct 57 ms 41556 KB Output is correct
12 Correct 61 ms 42128 KB Output is correct
13 Correct 65 ms 44544 KB Output is correct
14 Correct 67 ms 39880 KB Output is correct
15 Correct 120 ms 43640 KB Output is correct
16 Correct 129 ms 43380 KB Output is correct
17 Correct 122 ms 43896 KB Output is correct
18 Correct 161 ms 46348 KB Output is correct
19 Correct 128 ms 49072 KB Output is correct
20 Correct 115 ms 49708 KB Output is correct
21 Correct 123 ms 49504 KB Output is correct
22 Correct 116 ms 49708 KB Output is correct
23 Correct 129 ms 49736 KB Output is correct
24 Correct 117 ms 49012 KB Output is correct
25 Correct 118 ms 49472 KB Output is correct
26 Correct 131 ms 48864 KB Output is correct
27 Correct 4 ms 31324 KB Output is correct
28 Correct 4 ms 31324 KB Output is correct
29 Correct 4 ms 31324 KB Output is correct
30 Correct 5 ms 31420 KB Output is correct
31 Correct 4 ms 31492 KB Output is correct
32 Correct 5 ms 31320 KB Output is correct
33 Correct 4 ms 31432 KB Output is correct
34 Correct 4 ms 31440 KB Output is correct
35 Correct 4 ms 31324 KB Output is correct
36 Correct 12 ms 32796 KB Output is correct
37 Correct 59 ms 42324 KB Output is correct
38 Correct 63 ms 42184 KB Output is correct
39 Correct 59 ms 42308 KB Output is correct
40 Correct 60 ms 41924 KB Output is correct
41 Correct 63 ms 41932 KB Output is correct
42 Correct 66 ms 41028 KB Output is correct
43 Correct 64 ms 42128 KB Output is correct
44 Correct 65 ms 42120 KB Output is correct
45 Correct 73 ms 45256 KB Output is correct
46 Correct 69 ms 42120 KB Output is correct
47 Correct 17 ms 33052 KB Output is correct
48 Correct 118 ms 44844 KB Output is correct
49 Correct 120 ms 44844 KB Output is correct
50 Correct 126 ms 44848 KB Output is correct
51 Correct 123 ms 44604 KB Output is correct
52 Correct 118 ms 44152 KB Output is correct
53 Correct 136 ms 41916 KB Output is correct
54 Correct 120 ms 45356 KB Output is correct
55 Correct 130 ms 44848 KB Output is correct
56 Correct 135 ms 47152 KB Output is correct
57 Correct 133 ms 45356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 31324 KB Output is correct
2 Correct 4 ms 31324 KB Output is correct
3 Correct 4 ms 31324 KB Output is correct
4 Correct 4 ms 31576 KB Output is correct
5 Correct 4 ms 31424 KB Output is correct
6 Correct 5 ms 31324 KB Output is correct
7 Correct 4 ms 31324 KB Output is correct
8 Correct 4 ms 31324 KB Output is correct
9 Correct 4 ms 31324 KB Output is correct
10 Correct 47 ms 39880 KB Output is correct
11 Correct 58 ms 41672 KB Output is correct
12 Correct 57 ms 41556 KB Output is correct
13 Correct 61 ms 42128 KB Output is correct
14 Correct 65 ms 44544 KB Output is correct
15 Correct 67 ms 39880 KB Output is correct
16 Correct 120 ms 43640 KB Output is correct
17 Correct 129 ms 43380 KB Output is correct
18 Correct 122 ms 43896 KB Output is correct
19 Correct 161 ms 46348 KB Output is correct
20 Correct 128 ms 49072 KB Output is correct
21 Correct 115 ms 49708 KB Output is correct
22 Correct 123 ms 49504 KB Output is correct
23 Correct 116 ms 49708 KB Output is correct
24 Correct 129 ms 49736 KB Output is correct
25 Correct 117 ms 49012 KB Output is correct
26 Correct 118 ms 49472 KB Output is correct
27 Correct 131 ms 48864 KB Output is correct
28 Correct 4 ms 31324 KB Output is correct
29 Correct 4 ms 31324 KB Output is correct
30 Correct 4 ms 31324 KB Output is correct
31 Correct 5 ms 31420 KB Output is correct
32 Correct 4 ms 31492 KB Output is correct
33 Correct 5 ms 31320 KB Output is correct
34 Correct 4 ms 31432 KB Output is correct
35 Correct 4 ms 31440 KB Output is correct
36 Correct 4 ms 31324 KB Output is correct
37 Correct 12 ms 32796 KB Output is correct
38 Correct 59 ms 42324 KB Output is correct
39 Correct 63 ms 42184 KB Output is correct
40 Correct 59 ms 42308 KB Output is correct
41 Correct 60 ms 41924 KB Output is correct
42 Correct 63 ms 41932 KB Output is correct
43 Correct 66 ms 41028 KB Output is correct
44 Correct 64 ms 42128 KB Output is correct
45 Correct 65 ms 42120 KB Output is correct
46 Correct 73 ms 45256 KB Output is correct
47 Correct 69 ms 42120 KB Output is correct
48 Correct 17 ms 33052 KB Output is correct
49 Correct 118 ms 44844 KB Output is correct
50 Correct 120 ms 44844 KB Output is correct
51 Correct 126 ms 44848 KB Output is correct
52 Correct 123 ms 44604 KB Output is correct
53 Correct 118 ms 44152 KB Output is correct
54 Correct 136 ms 41916 KB Output is correct
55 Correct 120 ms 45356 KB Output is correct
56 Correct 130 ms 44848 KB Output is correct
57 Correct 135 ms 47152 KB Output is correct
58 Correct 133 ms 45356 KB Output is correct
59 Correct 60 ms 36372 KB Output is correct
60 Correct 120 ms 44864 KB Output is correct
61 Correct 128 ms 44672 KB Output is correct
62 Correct 130 ms 45336 KB Output is correct
63 Correct 159 ms 47640 KB Output is correct
64 Correct 5 ms 31324 KB Output is correct
65 Correct 4 ms 31452 KB Output is correct
66 Correct 5 ms 31472 KB Output is correct
67 Correct 4 ms 31580 KB Output is correct
68 Correct 4 ms 31324 KB Output is correct
69 Correct 5 ms 31580 KB Output is correct
70 Correct 5 ms 31580 KB Output is correct
71 Correct 5 ms 31580 KB Output is correct
72 Correct 5 ms 31324 KB Output is correct
73 Correct 4 ms 31580 KB Output is correct
74 Correct 90 ms 50020 KB Output is correct
75 Correct 62 ms 42332 KB Output is correct
76 Correct 76 ms 42332 KB Output is correct
77 Correct 73 ms 44744 KB Output is correct
78 Correct 76 ms 50996 KB Output is correct
79 Correct 55 ms 45508 KB Output is correct
80 Correct 71 ms 46812 KB Output is correct
81 Correct 99 ms 49596 KB Output is correct
82 Correct 110 ms 50624 KB Output is correct
83 Correct 116 ms 54284 KB Output is correct
84 Correct 56 ms 44888 KB Output is correct
85 Correct 101 ms 52932 KB Output is correct
86 Correct 46 ms 37760 KB Output is correct
87 Correct 144 ms 44876 KB Output is correct
88 Correct 119 ms 44824 KB Output is correct
89 Correct 136 ms 46608 KB Output is correct
90 Correct 140 ms 53784 KB Output is correct
91 Correct 133 ms 51936 KB Output is correct
92 Correct 140 ms 49012 KB Output is correct
93 Correct 178 ms 52600 KB Output is correct
94 Correct 214 ms 53152 KB Output is correct
95 Correct 176 ms 55840 KB Output is correct
96 Correct 141 ms 47404 KB Output is correct
97 Correct 201 ms 51024 KB Output is correct