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Submission #996970

# Submission time Handle Problem Language Result Execution time Memory
996970 2024-06-11T14:20:00 Z Dan4Life Swapping Cities (APIO20_swap) C++17
100 / 100
 188 ms 77460 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(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];
	return jmp[0][s];
}

int getMinimumFuelCapacity(int X, int Y) {
	int Z = lca(X, Y);
	if(Z==-1) return -1;
	Z = findNearestAnc(Z);
	if(Z==-1 or !good[Z]) return -1;
	return edges[Z-n][0];
}

Subtask #1
6.0 / 6.0

# 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 47708 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 7 ms 47708 KB Output is correct
6 Correct 6 ms 47788 KB Output is correct
7 Correct 7 ms 47704 KB Output is correct
8 Correct 7 ms 47708 KB Output is correct
9 Correct 51 ms 55696 KB Output is correct
10 Correct 66 ms 57544 KB Output is correct
11 Correct 73 ms 57392 KB Output is correct
12 Correct 69 ms 57800 KB Output is correct
13 Correct 58 ms 60100 KB Output is correct
14 Correct 57 ms 55612 KB Output is correct
15 Correct 127 ms 59380 KB Output is correct
16 Correct 129 ms 59000 KB Output is correct
17 Correct 152 ms 59696 KB Output is correct
18 Correct 161 ms 61960 KB Output is correct
19 Correct 63 ms 52752 KB Output is correct
20 Correct 134 ms 60488 KB Output is correct
21 Correct 132 ms 60404 KB Output is correct
22 Correct 130 ms 60960 KB Output is correct
23 Correct 180 ms 63472 KB Output is correct

Subtask #2
7.0 / 7.0

# 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 124 ms 64760 KB Output is correct
4 Correct 129 ms 65436 KB Output is correct
5 Correct 131 ms 65120 KB Output is correct
6 Correct 127 ms 65320 KB Output is correct
7 Correct 125 ms 65268 KB Output is correct
8 Correct 129 ms 64632 KB Output is correct
9 Correct 122 ms 65096 KB Output is correct
10 Correct 123 ms 64492 KB Output is correct

Subtask #3
17.0 / 17.0

# 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 47708 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 7 ms 47708 KB Output is correct
6 Correct 6 ms 47788 KB Output is correct
7 Correct 7 ms 47704 KB Output is correct
8 Correct 7 ms 47708 KB Output is correct
9 Correct 6 ms 47708 KB Output is correct
10 Correct 7 ms 47708 KB Output is correct
11 Correct 7 ms 47796 KB Output is correct
12 Correct 6 ms 47708 KB Output is correct
13 Correct 6 ms 47708 KB Output is correct
14 Correct 7 ms 47916 KB Output is correct
15 Correct 7 ms 47708 KB Output is correct
16 Correct 6 ms 47724 KB Output is correct
17 Correct 7 ms 47708 KB Output is correct
18 Correct 7 ms 47708 KB Output is correct
19 Correct 7 ms 47760 KB Output is correct
20 Correct 7 ms 47708 KB Output is correct
21 Correct 7 ms 47708 KB Output is correct
22 Correct 6 ms 48016 KB Output is correct
23 Correct 7 ms 47708 KB Output is correct
24 Correct 7 ms 48008 KB Output is correct
25 Correct 8 ms 47964 KB Output is correct
26 Correct 7 ms 48008 KB Output is correct
27 Correct 7 ms 47764 KB Output is correct
28 Correct 7 ms 47964 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47704 KB Output is correct
3 Correct 6 ms 47708 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 6 ms 47708 KB Output is correct
6 Correct 7 ms 47708 KB Output is correct
7 Correct 6 ms 47788 KB Output is correct
8 Correct 7 ms 47704 KB Output is correct
9 Correct 7 ms 47708 KB Output is correct
10 Correct 51 ms 55696 KB Output is correct
11 Correct 66 ms 57544 KB Output is correct
12 Correct 73 ms 57392 KB Output is correct
13 Correct 69 ms 57800 KB Output is correct
14 Correct 58 ms 60100 KB Output is correct
15 Correct 7 ms 47708 KB Output is correct
16 Correct 7 ms 47796 KB Output is correct
17 Correct 6 ms 47708 KB Output is correct
18 Correct 6 ms 47708 KB Output is correct
19 Correct 7 ms 47916 KB Output is correct
20 Correct 7 ms 47708 KB Output is correct
21 Correct 6 ms 47724 KB Output is correct
22 Correct 7 ms 47708 KB Output is correct
23 Correct 7 ms 47708 KB Output is correct
24 Correct 7 ms 47760 KB Output is correct
25 Correct 7 ms 47708 KB Output is correct
26 Correct 7 ms 47708 KB Output is correct
27 Correct 6 ms 48016 KB Output is correct
28 Correct 7 ms 47708 KB Output is correct
29 Correct 7 ms 48008 KB Output is correct
30 Correct 8 ms 47964 KB Output is correct
31 Correct 7 ms 48008 KB Output is correct
32 Correct 7 ms 47764 KB Output is correct
33 Correct 7 ms 47964 KB Output is correct
34 Correct 15 ms 49436 KB Output is correct
35 Correct 67 ms 59592 KB Output is correct
36 Correct 63 ms 59592 KB Output is correct
37 Correct 61 ms 59592 KB Output is correct
38 Correct 64 ms 59592 KB Output is correct
39 Correct 72 ms 59304 KB Output is correct
40 Correct 56 ms 58416 KB Output is correct
41 Correct 74 ms 59848 KB Output is correct
42 Correct 63 ms 59596 KB Output is correct
43 Correct 55 ms 62660 KB Output is correct
44 Correct 74 ms 60100 KB Output is correct
45 Correct 115 ms 67776 KB Output is correct
46 Correct 66 ms 59772 KB Output is correct
47 Correct 66 ms 59668 KB Output is correct
48 Correct 71 ms 62404 KB Output is correct
49 Correct 76 ms 68544 KB Output is correct
50 Correct 61 ms 63728 KB Output is correct
51 Correct 77 ms 65344 KB Output is correct
52 Correct 99 ms 68536 KB Output is correct
53 Correct 105 ms 69820 KB Output is correct
54 Correct 134 ms 73408 KB Output is correct
55 Correct 58 ms 62408 KB Output is correct
56 Correct 133 ms 71656 KB Output is correct

Subtask #5
23.0 / 23.0

# 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 47708 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 7 ms 47708 KB Output is correct
6 Correct 6 ms 47788 KB Output is correct
7 Correct 7 ms 47704 KB Output is correct
8 Correct 7 ms 47708 KB Output is correct
9 Correct 51 ms 55696 KB Output is correct
10 Correct 66 ms 57544 KB Output is correct
11 Correct 73 ms 57392 KB Output is correct
12 Correct 69 ms 57800 KB Output is correct
13 Correct 58 ms 60100 KB Output is correct
14 Correct 57 ms 55612 KB Output is correct
15 Correct 127 ms 59380 KB Output is correct
16 Correct 129 ms 59000 KB Output is correct
17 Correct 152 ms 59696 KB Output is correct
18 Correct 161 ms 61960 KB Output is correct
19 Correct 124 ms 64760 KB Output is correct
20 Correct 129 ms 65436 KB Output is correct
21 Correct 131 ms 65120 KB Output is correct
22 Correct 127 ms 65320 KB Output is correct
23 Correct 125 ms 65268 KB Output is correct
24 Correct 129 ms 64632 KB Output is correct
25 Correct 122 ms 65096 KB Output is correct
26 Correct 123 ms 64492 KB Output is correct
27 Correct 7 ms 47708 KB Output is correct
28 Correct 7 ms 47796 KB Output is correct
29 Correct 6 ms 47708 KB Output is correct
30 Correct 6 ms 47708 KB Output is correct
31 Correct 7 ms 47916 KB Output is correct
32 Correct 7 ms 47708 KB Output is correct
33 Correct 6 ms 47724 KB Output is correct
34 Correct 7 ms 47708 KB Output is correct
35 Correct 7 ms 47708 KB Output is correct
36 Correct 15 ms 49436 KB Output is correct
37 Correct 67 ms 59592 KB Output is correct
38 Correct 63 ms 59592 KB Output is correct
39 Correct 61 ms 59592 KB Output is correct
40 Correct 64 ms 59592 KB Output is correct
41 Correct 72 ms 59304 KB Output is correct
42 Correct 56 ms 58416 KB Output is correct
43 Correct 74 ms 59848 KB Output is correct
44 Correct 63 ms 59596 KB Output is correct
45 Correct 55 ms 62660 KB Output is correct
46 Correct 74 ms 60100 KB Output is correct
47 Correct 19 ms 49684 KB Output is correct
48 Correct 127 ms 64564 KB Output is correct
49 Correct 128 ms 64556 KB Output is correct
50 Correct 140 ms 64524 KB Output is correct
51 Correct 126 ms 64568 KB Output is correct
52 Correct 121 ms 63756 KB Output is correct
53 Correct 111 ms 61548 KB Output is correct
54 Correct 127 ms 65332 KB Output is correct
55 Correct 128 ms 64616 KB Output is correct
56 Correct 143 ms 67068 KB Output is correct
57 Correct 137 ms 65580 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 47708 KB Output is correct
2 Correct 6 ms 47704 KB Output is correct
3 Correct 6 ms 47708 KB Output is correct
4 Correct 6 ms 47708 KB Output is correct
5 Correct 6 ms 47708 KB Output is correct
6 Correct 7 ms 47708 KB Output is correct
7 Correct 6 ms 47788 KB Output is correct
8 Correct 7 ms 47704 KB Output is correct
9 Correct 7 ms 47708 KB Output is correct
10 Correct 51 ms 55696 KB Output is correct
11 Correct 66 ms 57544 KB Output is correct
12 Correct 73 ms 57392 KB Output is correct
13 Correct 69 ms 57800 KB Output is correct
14 Correct 58 ms 60100 KB Output is correct
15 Correct 57 ms 55612 KB Output is correct
16 Correct 127 ms 59380 KB Output is correct
17 Correct 129 ms 59000 KB Output is correct
18 Correct 152 ms 59696 KB Output is correct
19 Correct 161 ms 61960 KB Output is correct
20 Correct 124 ms 64760 KB Output is correct
21 Correct 129 ms 65436 KB Output is correct
22 Correct 131 ms 65120 KB Output is correct
23 Correct 127 ms 65320 KB Output is correct
24 Correct 125 ms 65268 KB Output is correct
25 Correct 129 ms 64632 KB Output is correct
26 Correct 122 ms 65096 KB Output is correct
27 Correct 123 ms 64492 KB Output is correct
28 Correct 7 ms 47708 KB Output is correct
29 Correct 7 ms 47796 KB Output is correct
30 Correct 6 ms 47708 KB Output is correct
31 Correct 6 ms 47708 KB Output is correct
32 Correct 7 ms 47916 KB Output is correct
33 Correct 7 ms 47708 KB Output is correct
34 Correct 6 ms 47724 KB Output is correct
35 Correct 7 ms 47708 KB Output is correct
36 Correct 7 ms 47708 KB Output is correct
37 Correct 15 ms 49436 KB Output is correct
38 Correct 67 ms 59592 KB Output is correct
39 Correct 63 ms 59592 KB Output is correct
40 Correct 61 ms 59592 KB Output is correct
41 Correct 64 ms 59592 KB Output is correct
42 Correct 72 ms 59304 KB Output is correct
43 Correct 56 ms 58416 KB Output is correct
44 Correct 74 ms 59848 KB Output is correct
45 Correct 63 ms 59596 KB Output is correct
46 Correct 55 ms 62660 KB Output is correct
47 Correct 74 ms 60100 KB Output is correct
48 Correct 19 ms 49684 KB Output is correct
49 Correct 127 ms 64564 KB Output is correct
50 Correct 128 ms 64556 KB Output is correct
51 Correct 140 ms 64524 KB Output is correct
52 Correct 126 ms 64568 KB Output is correct
53 Correct 121 ms 63756 KB Output is correct
54 Correct 111 ms 61548 KB Output is correct
55 Correct 127 ms 65332 KB Output is correct
56 Correct 128 ms 64616 KB Output is correct
57 Correct 143 ms 67068 KB Output is correct
58 Correct 137 ms 65580 KB Output is correct
59 Correct 63 ms 52752 KB Output is correct
60 Correct 134 ms 60488 KB Output is correct
61 Correct 132 ms 60404 KB Output is correct
62 Correct 130 ms 60960 KB Output is correct
63 Correct 180 ms 63472 KB Output is correct
64 Correct 7 ms 47760 KB Output is correct
65 Correct 7 ms 47708 KB Output is correct
66 Correct 7 ms 47708 KB Output is correct
67 Correct 6 ms 48016 KB Output is correct
68 Correct 7 ms 47708 KB Output is correct
69 Correct 7 ms 48008 KB Output is correct
70 Correct 8 ms 47964 KB Output is correct
71 Correct 7 ms 48008 KB Output is correct
72 Correct 7 ms 47764 KB Output is correct
73 Correct 7 ms 47964 KB Output is correct
74 Correct 115 ms 67776 KB Output is correct
75 Correct 66 ms 59772 KB Output is correct
76 Correct 66 ms 59668 KB Output is correct
77 Correct 71 ms 62404 KB Output is correct
78 Correct 76 ms 68544 KB Output is correct
79 Correct 61 ms 63728 KB Output is correct
80 Correct 77 ms 65344 KB Output is correct
81 Correct 99 ms 68536 KB Output is correct
82 Correct 105 ms 69820 KB Output is correct
83 Correct 134 ms 73408 KB Output is correct
84 Correct 58 ms 62408 KB Output is correct
85 Correct 133 ms 71656 KB Output is correct
86 Correct 50 ms 55424 KB Output is correct
87 Correct 137 ms 64608 KB Output is correct
88 Correct 124 ms 64560 KB Output is correct
89 Correct 163 ms 66664 KB Output is correct
90 Correct 135 ms 74004 KB Output is correct
91 Correct 137 ms 72704 KB Output is correct
92 Correct 181 ms 69672 KB Output is correct
93 Correct 166 ms 72828 KB Output is correct
94 Correct 173 ms 74396 KB Output is correct
95 Correct 188 ms 77460 KB Output is correct
96 Correct 148 ms 67168 KB Output is correct
97 Correct 164 ms 72320 KB Output is correct