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Submission #1047680

# Submission time Handle Problem Language Result Execution time Memory
1047680 2024-08-07T14:58:48 Z vjudge1 Swapping Cities (APIO20_swap) C++17
100 / 100
 153 ms 76372 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 2 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 3 ms 20964 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 3 ms 20920 KB Output is correct
9 Correct 42 ms 41968 KB Output is correct
10 Correct 52 ms 47548 KB Output is correct
11 Correct 53 ms 47380 KB Output is correct
12 Correct 50 ms 47952 KB Output is correct
13 Correct 50 ms 51044 KB Output is correct
14 Correct 43 ms 42348 KB Output is correct
15 Correct 99 ms 51676 KB Output is correct
16 Correct 93 ms 51460 KB Output is correct
17 Correct 96 ms 52112 KB Output is correct
18 Correct 118 ms 55236 KB Output is correct
19 Correct 44 ms 31624 KB Output is correct
20 Correct 97 ms 52688 KB Output is correct
21 Correct 92 ms 52844 KB Output is correct
22 Correct 99 ms 53428 KB Output is correct
23 Correct 117 ms 56556 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 102 ms 58252 KB Output is correct
4 Correct 99 ms 58808 KB Output is correct
5 Correct 113 ms 58852 KB Output is correct
6 Correct 100 ms 58556 KB Output is correct
7 Correct 113 ms 58828 KB Output is correct
8 Correct 103 ms 58368 KB Output is correct
9 Correct 117 ms 58576 KB Output is correct
10 Correct 101 ms 58120 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 3 ms 20964 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 3 ms 20920 KB Output is correct
9 Correct 3 ms 20828 KB Output is correct
10 Correct 2 ms 20828 KB Output is correct
11 Correct 3 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 2 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 3 ms 20828 KB Output is correct
17 Correct 2 ms 20968 KB Output is correct
18 Correct 3 ms 20828 KB Output is correct
19 Correct 3 ms 20824 KB Output is correct
20 Correct 3 ms 20828 KB Output is correct
21 Correct 3 ms 21084 KB Output is correct
22 Correct 3 ms 21084 KB Output is correct
23 Correct 3 ms 20828 KB Output is correct
24 Correct 3 ms 21084 KB Output is correct
25 Correct 3 ms 21080 KB Output is correct
26 Correct 3 ms 21008 KB Output is correct
27 Correct 3 ms 21084 KB Output is correct
28 Correct 3 ms 21084 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 2 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 3 ms 20964 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 3 ms 20828 KB Output is correct
9 Correct 3 ms 20920 KB Output is correct
10 Correct 42 ms 41968 KB Output is correct
11 Correct 52 ms 47548 KB Output is correct
12 Correct 53 ms 47380 KB Output is correct
13 Correct 50 ms 47952 KB Output is correct
14 Correct 50 ms 51044 KB Output is correct
15 Correct 2 ms 20828 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 3 ms 20828 KB Output is correct
18 Correct 2 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 3 ms 20828 KB Output is correct
22 Correct 2 ms 20968 KB Output is correct
23 Correct 3 ms 20828 KB Output is correct
24 Correct 3 ms 20824 KB Output is correct
25 Correct 3 ms 20828 KB Output is correct
26 Correct 3 ms 21084 KB Output is correct
27 Correct 3 ms 21084 KB Output is correct
28 Correct 3 ms 20828 KB Output is correct
29 Correct 3 ms 21084 KB Output is correct
30 Correct 3 ms 21080 KB Output is correct
31 Correct 3 ms 21008 KB Output is correct
32 Correct 3 ms 21084 KB Output is correct
33 Correct 3 ms 21084 KB Output is correct
34 Correct 8 ms 24152 KB Output is correct
35 Correct 55 ms 47720 KB Output is correct
36 Correct 49 ms 47708 KB Output is correct
37 Correct 55 ms 47696 KB Output is correct
38 Correct 55 ms 47444 KB Output is correct
39 Correct 51 ms 47448 KB Output is correct
40 Correct 45 ms 44884 KB Output is correct
41 Correct 53 ms 48208 KB Output is correct
42 Correct 60 ms 47584 KB Output is correct
43 Correct 48 ms 51768 KB Output is correct
44 Correct 58 ms 47956 KB Output is correct
45 Correct 90 ms 59672 KB Output is correct
46 Correct 53 ms 47700 KB Output is correct
47 Correct 50 ms 47904 KB Output is correct
48 Correct 65 ms 53076 KB Output is correct
49 Correct 62 ms 59312 KB Output is correct
50 Correct 50 ms 51536 KB Output is correct
51 Correct 65 ms 55376 KB Output is correct
52 Correct 82 ms 63060 KB Output is correct
53 Correct 105 ms 64336 KB Output is correct
54 Correct 100 ms 72700 KB Output is correct
55 Correct 48 ms 51348 KB Output is correct
56 Correct 107 ms 66480 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 20828 KB Output is correct
2 Correct 2 ms 20828 KB Output is correct
3 Correct 3 ms 20964 KB Output is correct
4 Correct 3 ms 20828 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 3 ms 20920 KB Output is correct
9 Correct 42 ms 41968 KB Output is correct
10 Correct 52 ms 47548 KB Output is correct
11 Correct 53 ms 47380 KB Output is correct
12 Correct 50 ms 47952 KB Output is correct
13 Correct 50 ms 51044 KB Output is correct
14 Correct 43 ms 42348 KB Output is correct
15 Correct 99 ms 51676 KB Output is correct
16 Correct 93 ms 51460 KB Output is correct
17 Correct 96 ms 52112 KB Output is correct
18 Correct 118 ms 55236 KB Output is correct
19 Correct 102 ms 58252 KB Output is correct
20 Correct 99 ms 58808 KB Output is correct
21 Correct 113 ms 58852 KB Output is correct
22 Correct 100 ms 58556 KB Output is correct
23 Correct 113 ms 58828 KB Output is correct
24 Correct 103 ms 58368 KB Output is correct
25 Correct 117 ms 58576 KB Output is correct
26 Correct 101 ms 58120 KB Output is correct
27 Correct 2 ms 20828 KB Output is correct
28 Correct 3 ms 20828 KB Output is correct
29 Correct 3 ms 20828 KB Output is correct
30 Correct 2 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 3 ms 20828 KB Output is correct
34 Correct 2 ms 20968 KB Output is correct
35 Correct 3 ms 20828 KB Output is correct
36 Correct 8 ms 24152 KB Output is correct
37 Correct 55 ms 47720 KB Output is correct
38 Correct 49 ms 47708 KB Output is correct
39 Correct 55 ms 47696 KB Output is correct
40 Correct 55 ms 47444 KB Output is correct
41 Correct 51 ms 47448 KB Output is correct
42 Correct 45 ms 44884 KB Output is correct
43 Correct 53 ms 48208 KB Output is correct
44 Correct 60 ms 47584 KB Output is correct
45 Correct 48 ms 51768 KB Output is correct
46 Correct 58 ms 47956 KB Output is correct
47 Correct 13 ms 24668 KB Output is correct
48 Correct 104 ms 52804 KB Output is correct
49 Correct 100 ms 52664 KB Output is correct
50 Correct 96 ms 52664 KB Output is correct
51 Correct 100 ms 52416 KB Output is correct
52 Correct 101 ms 52220 KB Output is correct
53 Correct 86 ms 46404 KB Output is correct
54 Correct 105 ms 53492 KB Output is correct
55 Correct 101 ms 52596 KB Output is correct
56 Correct 117 ms 55736 KB Output is correct
57 Correct 114 ms 53428 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 2 ms 20828 KB Output is correct
3 Correct 2 ms 20828 KB Output is correct
4 Correct 3 ms 20964 KB Output is correct
5 Correct 3 ms 20828 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 3 ms 20828 KB Output is correct
9 Correct 3 ms 20920 KB Output is correct
10 Correct 42 ms 41968 KB Output is correct
11 Correct 52 ms 47548 KB Output is correct
12 Correct 53 ms 47380 KB Output is correct
13 Correct 50 ms 47952 KB Output is correct
14 Correct 50 ms 51044 KB Output is correct
15 Correct 43 ms 42348 KB Output is correct
16 Correct 99 ms 51676 KB Output is correct
17 Correct 93 ms 51460 KB Output is correct
18 Correct 96 ms 52112 KB Output is correct
19 Correct 118 ms 55236 KB Output is correct
20 Correct 102 ms 58252 KB Output is correct
21 Correct 99 ms 58808 KB Output is correct
22 Correct 113 ms 58852 KB Output is correct
23 Correct 100 ms 58556 KB Output is correct
24 Correct 113 ms 58828 KB Output is correct
25 Correct 103 ms 58368 KB Output is correct
26 Correct 117 ms 58576 KB Output is correct
27 Correct 101 ms 58120 KB Output is correct
28 Correct 2 ms 20828 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 2 ms 20828 KB Output is correct
33 Correct 3 ms 20828 KB Output is correct
34 Correct 3 ms 20828 KB Output is correct
35 Correct 2 ms 20968 KB Output is correct
36 Correct 3 ms 20828 KB Output is correct
37 Correct 8 ms 24152 KB Output is correct
38 Correct 55 ms 47720 KB Output is correct
39 Correct 49 ms 47708 KB Output is correct
40 Correct 55 ms 47696 KB Output is correct
41 Correct 55 ms 47444 KB Output is correct
42 Correct 51 ms 47448 KB Output is correct
43 Correct 45 ms 44884 KB Output is correct
44 Correct 53 ms 48208 KB Output is correct
45 Correct 60 ms 47584 KB Output is correct
46 Correct 48 ms 51768 KB Output is correct
47 Correct 58 ms 47956 KB Output is correct
48 Correct 13 ms 24668 KB Output is correct
49 Correct 104 ms 52804 KB Output is correct
50 Correct 100 ms 52664 KB Output is correct
51 Correct 96 ms 52664 KB Output is correct
52 Correct 100 ms 52416 KB Output is correct
53 Correct 101 ms 52220 KB Output is correct
54 Correct 86 ms 46404 KB Output is correct
55 Correct 105 ms 53492 KB Output is correct
56 Correct 101 ms 52596 KB Output is correct
57 Correct 117 ms 55736 KB Output is correct
58 Correct 114 ms 53428 KB Output is correct
59 Correct 44 ms 31624 KB Output is correct
60 Correct 97 ms 52688 KB Output is correct
61 Correct 92 ms 52844 KB Output is correct
62 Correct 99 ms 53428 KB Output is correct
63 Correct 117 ms 56556 KB Output is correct
64 Correct 3 ms 20824 KB Output is correct
65 Correct 3 ms 20828 KB Output is correct
66 Correct 3 ms 21084 KB Output is correct
67 Correct 3 ms 21084 KB Output is correct
68 Correct 3 ms 20828 KB Output is correct
69 Correct 3 ms 21084 KB Output is correct
70 Correct 3 ms 21080 KB Output is correct
71 Correct 3 ms 21008 KB Output is correct
72 Correct 3 ms 21084 KB Output is correct
73 Correct 3 ms 21084 KB Output is correct
74 Correct 90 ms 59672 KB Output is correct
75 Correct 53 ms 47700 KB Output is correct
76 Correct 50 ms 47904 KB Output is correct
77 Correct 65 ms 53076 KB Output is correct
78 Correct 62 ms 59312 KB Output is correct
79 Correct 50 ms 51536 KB Output is correct
80 Correct 65 ms 55376 KB Output is correct
81 Correct 82 ms 63060 KB Output is correct
82 Correct 105 ms 64336 KB Output is correct
83 Correct 100 ms 72700 KB Output is correct
84 Correct 48 ms 51348 KB Output is correct
85 Correct 107 ms 66480 KB Output is correct
86 Correct 40 ms 36120 KB Output is correct
87 Correct 99 ms 52552 KB Output is correct
88 Correct 98 ms 52668 KB Output is correct
89 Correct 122 ms 55404 KB Output is correct
90 Correct 110 ms 64588 KB Output is correct
91 Correct 122 ms 62588 KB Output is correct
92 Correct 118 ms 59572 KB Output is correct
93 Correct 133 ms 67596 KB Output is correct
94 Correct 153 ms 69068 KB Output is correct
95 Correct 142 ms 76372 KB Output is correct
96 Correct 120 ms 56024 KB Output is correct
97 Correct 136 ms 64020 KB Output is correct