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Submission #1059041

# Submission time Handle Problem Language Result Execution time Memory
1059041 2024-08-14T16:24:13 Z ZeroCool Swapping Cities (APIO20_swap) C++14
100 / 100
 169 ms 74832 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int N =  5e5 + 20;
const int LOG = 21;

#define ar array

int p[N];
int nn;
vector<int> g[N];
bool ok[N];
int deg[N];

int find(int x){
	if(p[x] == x)return x;
	return p[x] = find(p[x]);
}

void join(int a,int b){
	deg[a]++, deg[b]++;
	if(deg[a] >= 3 || deg[b] >= 3)ok[nn] = 1;
	
	a = find(a), b = find(b);
	
	if(a == b)ok[nn] = 1;
	if(ok[a] || ok[b])ok[nn] = 1;
	
	p[a] = p[b] = p[nn] = nn;
	g[nn].push_back(a);
	if(a != b)g[nn].push_back(b);
	++nn;
}

int up[N][LOG];
int dp[N];
int dep[N];

void dfs(int x, int p,int lst = -1){
	//cout<<"->"<<x<<": "<<ok[x]<<endl;
	up[x][0] = p;
	for(int i = 1;i < LOG;i++)up[x][i] = up[up[x][i - 1]][i - 1];
	
	if(ok[x])lst = x;
	dp[x] = lst;
	
	for(auto u: g[x]){
		dep[u] = dep[x] + 1;
		dfs(u, x, lst);
	}
	//cout<<"<-"<<endl;
}

int lca(int a,int b){
	if(dep[a] < dep[b])swap(a, b);
	int k = dep[a] - dep[b];
	for(int i = 0;i < LOG;i++){
		if((1 << i) & k)a = up[a][i];
	}
	if(a == b)return a;
	for(int i = LOG - 1;i >= 0;i--){
		if(up[a][i] != up[b][i]){
			a = up[a][i];
			b = up[b][i];
		}
	}
	return up[a][0];
}

ar<int, 3> ed[N];

int n;

void init(int _n, int m, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
	n = _n;
	for(int i = 0;i < m;i++)ed[i] = {W[i], U[i], V[i]};
	sort(ed, ed + m);
	for(int i = 0;i < n;i++)p[i] = i;
	nn = n;
	for(int i = 0;i < m;i++)join(ed[i][1], ed[i][2]);
	dfs(nn-1, nn-1, -1);
}

int getMinimumFuelCapacity(int x, int y) {
	int l = lca(x, y);
	//cout<<x<<" "<<y<<": "<<l<<endl;
	if(dp[l] - n < 0)return -1;
	return ed[dp[l] - n][0];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 2 ms 21084 KB Output is correct
9 Correct 50 ms 39020 KB Output is correct
10 Correct 63 ms 46004 KB Output is correct
11 Correct 55 ms 45904 KB Output is correct
12 Correct 60 ms 47956 KB Output is correct
13 Correct 57 ms 51028 KB Output is correct
14 Correct 52 ms 42644 KB Output is correct
15 Correct 107 ms 50396 KB Output is correct
16 Correct 100 ms 50084 KB Output is correct
17 Correct 106 ms 50356 KB Output is correct
18 Correct 131 ms 55128 KB Output is correct
19 Correct 44 ms 31572 KB Output is correct
20 Correct 100 ms 52692 KB Output is correct
21 Correct 101 ms 52892 KB Output is correct
22 Correct 100 ms 53432 KB Output is correct
23 Correct 127 ms 56592 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 107 ms 58352 KB Output is correct
4 Correct 111 ms 57312 KB Output is correct
5 Correct 114 ms 58856 KB Output is correct
6 Correct 103 ms 58704 KB Output is correct
7 Correct 109 ms 57296 KB Output is correct
8 Correct 106 ms 58148 KB Output is correct
9 Correct 104 ms 57024 KB Output is correct
10 Correct 104 ms 58180 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 2 ms 21084 KB Output is correct
9 Correct 3 ms 20828 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 3 ms 20824 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20828 KB Output is correct
14 Correct 2 ms 20828 KB Output is correct
15 Correct 3 ms 20828 KB Output is correct
16 Correct 2 ms 20828 KB Output is correct
17 Correct 2 ms 21084 KB Output is correct
18 Correct 3 ms 20828 KB Output is correct
19 Correct 3 ms 20988 KB Output is correct
20 Correct 3 ms 20828 KB Output is correct
21 Correct 3 ms 20964 KB Output is correct
22 Correct 3 ms 21084 KB Output is correct
23 Correct 2 ms 20828 KB Output is correct
24 Correct 3 ms 21084 KB Output is correct
25 Correct 4 ms 21084 KB Output is correct
26 Correct 3 ms 20968 KB Output is correct
27 Correct 2 ms 21084 KB Output is correct
28 Correct 5 ms 21124 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 20828 KB Output is correct
8 Correct 3 ms 20828 KB Output is correct
9 Correct 2 ms 21084 KB Output is correct
10 Correct 50 ms 39020 KB Output is correct
11 Correct 63 ms 46004 KB Output is correct
12 Correct 55 ms 45904 KB Output is correct
13 Correct 60 ms 47956 KB Output is correct
14 Correct 57 ms 51028 KB Output is correct
15 Correct 3 ms 20828 KB Output is correct
16 Correct 3 ms 20824 KB Output is correct
17 Correct 3 ms 20828 KB Output is correct
18 Correct 3 ms 20828 KB Output is correct
19 Correct 2 ms 20828 KB Output is correct
20 Correct 3 ms 20828 KB Output is correct
21 Correct 2 ms 20828 KB Output is correct
22 Correct 2 ms 21084 KB Output is correct
23 Correct 3 ms 20828 KB Output is correct
24 Correct 3 ms 20988 KB Output is correct
25 Correct 3 ms 20828 KB Output is correct
26 Correct 3 ms 20964 KB Output is correct
27 Correct 3 ms 21084 KB Output is correct
28 Correct 2 ms 20828 KB Output is correct
29 Correct 3 ms 21084 KB Output is correct
30 Correct 4 ms 21084 KB Output is correct
31 Correct 3 ms 20968 KB Output is correct
32 Correct 2 ms 21084 KB Output is correct
33 Correct 5 ms 21124 KB Output is correct
34 Correct 9 ms 24156 KB Output is correct
35 Correct 57 ms 47796 KB Output is correct
36 Correct 54 ms 47700 KB Output is correct
37 Correct 49 ms 47700 KB Output is correct
38 Correct 49 ms 47692 KB Output is correct
39 Correct 56 ms 47444 KB Output is correct
40 Correct 50 ms 44772 KB Output is correct
41 Correct 58 ms 47956 KB Output is correct
42 Correct 48 ms 47696 KB Output is correct
43 Correct 48 ms 52048 KB Output is correct
44 Correct 58 ms 47956 KB Output is correct
45 Correct 78 ms 59648 KB Output is correct
46 Correct 58 ms 47576 KB Output is correct
47 Correct 53 ms 47964 KB Output is correct
48 Correct 63 ms 53168 KB Output is correct
49 Correct 61 ms 59412 KB Output is correct
50 Correct 49 ms 51536 KB Output is correct
51 Correct 67 ms 55440 KB Output is correct
52 Correct 81 ms 63020 KB Output is correct
53 Correct 96 ms 64336 KB Output is correct
54 Correct 109 ms 72528 KB Output is correct
55 Correct 49 ms 51560 KB Output is correct
56 Correct 97 ms 66644 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 18780 KB Output is correct
6 Correct 2 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 2 ms 21084 KB Output is correct
9 Correct 50 ms 39020 KB Output is correct
10 Correct 63 ms 46004 KB Output is correct
11 Correct 55 ms 45904 KB Output is correct
12 Correct 60 ms 47956 KB Output is correct
13 Correct 57 ms 51028 KB Output is correct
14 Correct 52 ms 42644 KB Output is correct
15 Correct 107 ms 50396 KB Output is correct
16 Correct 100 ms 50084 KB Output is correct
17 Correct 106 ms 50356 KB Output is correct
18 Correct 131 ms 55128 KB Output is correct
19 Correct 107 ms 58352 KB Output is correct
20 Correct 111 ms 57312 KB Output is correct
21 Correct 114 ms 58856 KB Output is correct
22 Correct 103 ms 58704 KB Output is correct
23 Correct 109 ms 57296 KB Output is correct
24 Correct 106 ms 58148 KB Output is correct
25 Correct 104 ms 57024 KB Output is correct
26 Correct 104 ms 58180 KB Output is correct
27 Correct 3 ms 20828 KB Output is correct
28 Correct 3 ms 20824 KB Output is correct
29 Correct 3 ms 20828 KB Output is correct
30 Correct 3 ms 20828 KB Output is correct
31 Correct 2 ms 20828 KB Output is correct
32 Correct 3 ms 20828 KB Output is correct
33 Correct 2 ms 20828 KB Output is correct
34 Correct 2 ms 21084 KB Output is correct
35 Correct 3 ms 20828 KB Output is correct
36 Correct 9 ms 24156 KB Output is correct
37 Correct 57 ms 47796 KB Output is correct
38 Correct 54 ms 47700 KB Output is correct
39 Correct 49 ms 47700 KB Output is correct
40 Correct 49 ms 47692 KB Output is correct
41 Correct 56 ms 47444 KB Output is correct
42 Correct 50 ms 44772 KB Output is correct
43 Correct 58 ms 47956 KB Output is correct
44 Correct 48 ms 47696 KB Output is correct
45 Correct 48 ms 52048 KB Output is correct
46 Correct 58 ms 47956 KB Output is correct
47 Correct 12 ms 24668 KB Output is correct
48 Correct 103 ms 52664 KB Output is correct
49 Correct 117 ms 52664 KB Output is correct
50 Correct 101 ms 52556 KB Output is correct
51 Correct 99 ms 52420 KB Output is correct
52 Correct 99 ms 52224 KB Output is correct
53 Correct 96 ms 46400 KB Output is correct
54 Correct 99 ms 53360 KB Output is correct
55 Correct 96 ms 52448 KB Output is correct
56 Correct 118 ms 55736 KB Output is correct
57 Correct 111 ms 53432 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 3 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 2 ms 20828 KB Output is correct
5 Correct 2 ms 20828 KB Output is correct
6 Correct 2 ms 18780 KB Output is correct
7 Correct 2 ms 20828 KB Output is correct
8 Correct 3 ms 20828 KB Output is correct
9 Correct 2 ms 21084 KB Output is correct
10 Correct 50 ms 39020 KB Output is correct
11 Correct 63 ms 46004 KB Output is correct
12 Correct 55 ms 45904 KB Output is correct
13 Correct 60 ms 47956 KB Output is correct
14 Correct 57 ms 51028 KB Output is correct
15 Correct 52 ms 42644 KB Output is correct
16 Correct 107 ms 50396 KB Output is correct
17 Correct 100 ms 50084 KB Output is correct
18 Correct 106 ms 50356 KB Output is correct
19 Correct 131 ms 55128 KB Output is correct
20 Correct 107 ms 58352 KB Output is correct
21 Correct 111 ms 57312 KB Output is correct
22 Correct 114 ms 58856 KB Output is correct
23 Correct 103 ms 58704 KB Output is correct
24 Correct 109 ms 57296 KB Output is correct
25 Correct 106 ms 58148 KB Output is correct
26 Correct 104 ms 57024 KB Output is correct
27 Correct 104 ms 58180 KB Output is correct
28 Correct 3 ms 20828 KB Output is correct
29 Correct 3 ms 20824 KB Output is correct
30 Correct 3 ms 20828 KB Output is correct
31 Correct 3 ms 20828 KB Output is correct
32 Correct 2 ms 20828 KB Output is correct
33 Correct 3 ms 20828 KB Output is correct
34 Correct 2 ms 20828 KB Output is correct
35 Correct 2 ms 21084 KB Output is correct
36 Correct 3 ms 20828 KB Output is correct
37 Correct 9 ms 24156 KB Output is correct
38 Correct 57 ms 47796 KB Output is correct
39 Correct 54 ms 47700 KB Output is correct
40 Correct 49 ms 47700 KB Output is correct
41 Correct 49 ms 47692 KB Output is correct
42 Correct 56 ms 47444 KB Output is correct
43 Correct 50 ms 44772 KB Output is correct
44 Correct 58 ms 47956 KB Output is correct
45 Correct 48 ms 47696 KB Output is correct
46 Correct 48 ms 52048 KB Output is correct
47 Correct 58 ms 47956 KB Output is correct
48 Correct 12 ms 24668 KB Output is correct
49 Correct 103 ms 52664 KB Output is correct
50 Correct 117 ms 52664 KB Output is correct
51 Correct 101 ms 52556 KB Output is correct
52 Correct 99 ms 52420 KB Output is correct
53 Correct 99 ms 52224 KB Output is correct
54 Correct 96 ms 46400 KB Output is correct
55 Correct 99 ms 53360 KB Output is correct
56 Correct 96 ms 52448 KB Output is correct
57 Correct 118 ms 55736 KB Output is correct
58 Correct 111 ms 53432 KB Output is correct
59 Correct 44 ms 31572 KB Output is correct
60 Correct 100 ms 52692 KB Output is correct
61 Correct 101 ms 52892 KB Output is correct
62 Correct 100 ms 53432 KB Output is correct
63 Correct 127 ms 56592 KB Output is correct
64 Correct 3 ms 20988 KB Output is correct
65 Correct 3 ms 20828 KB Output is correct
66 Correct 3 ms 20964 KB Output is correct
67 Correct 3 ms 21084 KB Output is correct
68 Correct 2 ms 20828 KB Output is correct
69 Correct 3 ms 21084 KB Output is correct
70 Correct 4 ms 21084 KB Output is correct
71 Correct 3 ms 20968 KB Output is correct
72 Correct 2 ms 21084 KB Output is correct
73 Correct 5 ms 21124 KB Output is correct
74 Correct 78 ms 59648 KB Output is correct
75 Correct 58 ms 47576 KB Output is correct
76 Correct 53 ms 47964 KB Output is correct
77 Correct 63 ms 53168 KB Output is correct
78 Correct 61 ms 59412 KB Output is correct
79 Correct 49 ms 51536 KB Output is correct
80 Correct 67 ms 55440 KB Output is correct
81 Correct 81 ms 63020 KB Output is correct
82 Correct 96 ms 64336 KB Output is correct
83 Correct 109 ms 72528 KB Output is correct
84 Correct 49 ms 51560 KB Output is correct
85 Correct 97 ms 66644 KB Output is correct
86 Correct 45 ms 36164 KB Output is correct
87 Correct 99 ms 52564 KB Output is correct
88 Correct 108 ms 52588 KB Output is correct
89 Correct 121 ms 55408 KB Output is correct
90 Correct 113 ms 64680 KB Output is correct
91 Correct 126 ms 62324 KB Output is correct
92 Correct 134 ms 59684 KB Output is correct
93 Correct 140 ms 67424 KB Output is correct
94 Correct 169 ms 68912 KB Output is correct
95 Correct 162 ms 74832 KB Output is correct
96 Correct 124 ms 56004 KB Output is correct
97 Correct 157 ms 64020 KB Output is correct