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Submission #392864

# Submission time Handle Problem Language Result Execution time Memory
392864 2021-04-22T03:51:56 Z wind_reaper Swapping Cities (APIO20_swap) C++17
100 / 100
 665 ms 61380 KB 
#include <bits/stdc++.h>

#ifndef LOCAL
#include "swap.h"
#endif

using namespace std;

// ******************** Constants ********************

const int MXN = 100000;
const int MXM = 200000;
const int MXS = 300000;
const int lg = 20;
int nxtnode = 0;

// ******************** global variables ********************

vector<int> g[MXS];

// ******************** LCA ********************

int up[lg][MXS], tin[MXS], tout[MXS], timer = 0;

void dfs(int node, int par){
	tin[node] = timer++;

	up[0][node] = par;
	for(int i = 1; i < lg; i++)
		up[i][node] = up[i-1][up[i-1][node]];

	for(int v : g[node]){
		if(v == par)
			continue;
		dfs(v, node);
	}

	tout[node] = timer;
}

inline bool isAncestor(int u, int v){
	return tin[u] <= tin[v] && tout[u] >= tout[v];
}

int lca(int u, int v){
	if(isAncestor(u, v))
		return u;
	if(isAncestor(v, u))
		return v;

	for(int i = lg-1; i >= 0; --i)
		if(!isAncestor(up[i][u], v))
			u = up[i][u];

	return up[0][u];
}

// ******************** KRT ********************

vector<bool> has(MXS);
int par[MXS], val[MXS], degree[MXN];

void init(){
	for(int i = 0; i < MXS; i++)
		par[i] = i;
}

int get(int x){
	return (par[x] == x ? x : par[x] = get(par[x]));
}

void unite(int u, int v, int w){
	degree[u]++;
	degree[v]++;

	has[nxtnode] = (degree[u] >= 3 || degree[v] >= 3);

	u = get(u), v = get(v);

	if(u == v){
		g[nxtnode].push_back(u);
		par[u] = nxtnode;
		has[nxtnode] = 1;
		val[nxtnode] = w;

		nxtnode++;
		return;
	}

	g[nxtnode].push_back(u);
	g[nxtnode].push_back(v);
	val[nxtnode] = w;
	has[nxtnode] = has[nxtnode] | has[u] | has[v];
	par[u] = par[v] = nxtnode;

	nxtnode++;
	return;
}

int minup(int node){
	if(has[node] == 1)
		return node;

	for(int i = lg-1; i >= 0; --i)
		if(has[up[i][node]] == 0)
			node = up[i][node];

	if(has[up[0][node]] == 0) return -1;
	return up[0][node];
}
// ******************** ********************

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W){
	vector<array<int, 3>> edges(M);
	for(int i = 0; i < M; i++)
		edges[i] = {W[i], U[i], V[i]};

	nxtnode = N;

	init();

	sort(edges.begin(), edges.end());

	for(auto& [w, u, v] : edges){
		unite(u, v, w);
	}

	dfs(nxtnode-1, nxtnode-1);
}

int getMinimumFuelCapacity(int X, int Y){
	int Z = lca(X, Y);
	Z = minup(Z);
	if(Z == -1) return -1;
	return val[Z];
}

#ifdef LOCAL
int32_t main(){
	ios_base::sync_with_stdio(false); 
	cin.tie(NULL); 
	
	int N, M;
	cin >> N >> M;

	vector<int> U(M), V(M), W(M);
	for(int i = 0; i < M; i++)
		cin >> U[i] >> V[i] >> W[i];

	init(N, M, U, V, W);

	int Q;
	cin >> Q;
	while(Q--){
		int X, Y;
		cin >> X >> Y;
		cout << getMinimumFuelCapacity(X, Y) << '\n';
	}

	return 0; 
}
#endif

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8688 KB Output is correct
3 Correct 6 ms 8608 KB Output is correct
4 Correct 6 ms 8780 KB Output is correct
5 Correct 6 ms 8908 KB Output is correct
6 Correct 6 ms 8908 KB Output is correct
7 Correct 6 ms 8888 KB Output is correct
8 Correct 6 ms 8908 KB Output is correct
9 Correct 118 ms 27972 KB Output is correct
10 Correct 147 ms 32336 KB Output is correct
11 Correct 146 ms 31940 KB Output is correct
12 Correct 160 ms 33348 KB Output is correct
13 Correct 121 ms 35560 KB Output is correct
14 Correct 142 ms 28100 KB Output is correct
15 Correct 381 ms 34128 KB Output is correct
16 Correct 367 ms 33348 KB Output is correct
17 Correct 382 ms 34884 KB Output is correct
18 Correct 460 ms 37268 KB Output is correct
19 Correct 142 ms 15880 KB Output is correct
20 Correct 374 ms 34408 KB Output is correct
21 Correct 371 ms 33720 KB Output is correct
22 Correct 382 ms 35260 KB Output is correct
23 Correct 518 ms 37584 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8688 KB Output is correct
3 Correct 458 ms 38368 KB Output is correct
4 Correct 449 ms 39572 KB Output is correct
5 Correct 531 ms 38864 KB Output is correct
6 Correct 453 ms 39576 KB Output is correct
7 Correct 498 ms 39268 KB Output is correct
8 Correct 451 ms 38132 KB Output is correct
9 Correct 482 ms 38956 KB Output is correct
10 Correct 477 ms 37960 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8688 KB Output is correct
3 Correct 6 ms 8608 KB Output is correct
4 Correct 6 ms 8780 KB Output is correct
5 Correct 6 ms 8908 KB Output is correct
6 Correct 6 ms 8908 KB Output is correct
7 Correct 6 ms 8888 KB Output is correct
8 Correct 6 ms 8908 KB Output is correct
9 Correct 5 ms 8652 KB Output is correct
10 Correct 6 ms 8908 KB Output is correct
11 Correct 6 ms 8908 KB Output is correct
12 Correct 7 ms 8940 KB Output is correct
13 Correct 6 ms 8908 KB Output is correct
14 Correct 6 ms 8908 KB Output is correct
15 Correct 7 ms 8916 KB Output is correct
16 Correct 6 ms 8908 KB Output is correct
17 Correct 6 ms 8908 KB Output is correct
18 Correct 6 ms 8908 KB Output is correct
19 Correct 6 ms 8940 KB Output is correct
20 Correct 6 ms 8936 KB Output is correct
21 Correct 6 ms 8908 KB Output is correct
22 Correct 7 ms 9000 KB Output is correct
23 Correct 6 ms 8908 KB Output is correct
24 Correct 8 ms 9036 KB Output is correct
25 Correct 7 ms 9036 KB Output is correct
26 Correct 7 ms 9156 KB Output is correct
27 Correct 6 ms 8908 KB Output is correct
28 Correct 7 ms 9164 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8652 KB Output is correct
3 Correct 5 ms 8688 KB Output is correct
4 Correct 6 ms 8608 KB Output is correct
5 Correct 6 ms 8780 KB Output is correct
6 Correct 6 ms 8908 KB Output is correct
7 Correct 6 ms 8908 KB Output is correct
8 Correct 6 ms 8888 KB Output is correct
9 Correct 6 ms 8908 KB Output is correct
10 Correct 118 ms 27972 KB Output is correct
11 Correct 147 ms 32336 KB Output is correct
12 Correct 146 ms 31940 KB Output is correct
13 Correct 160 ms 33348 KB Output is correct
14 Correct 121 ms 35560 KB Output is correct
15 Correct 6 ms 8908 KB Output is correct
16 Correct 6 ms 8908 KB Output is correct
17 Correct 7 ms 8940 KB Output is correct
18 Correct 6 ms 8908 KB Output is correct
19 Correct 6 ms 8908 KB Output is correct
20 Correct 7 ms 8916 KB Output is correct
21 Correct 6 ms 8908 KB Output is correct
22 Correct 6 ms 8908 KB Output is correct
23 Correct 6 ms 8908 KB Output is correct
24 Correct 6 ms 8940 KB Output is correct
25 Correct 6 ms 8936 KB Output is correct
26 Correct 6 ms 8908 KB Output is correct
27 Correct 7 ms 9000 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 8 ms 9036 KB Output is correct
30 Correct 7 ms 9036 KB Output is correct
31 Correct 7 ms 9156 KB Output is correct
32 Correct 6 ms 8908 KB Output is correct
33 Correct 7 ms 9164 KB Output is correct
34 Correct 18 ms 12352 KB Output is correct
35 Correct 154 ms 35056 KB Output is correct
36 Correct 153 ms 35260 KB Output is correct
37 Correct 162 ms 35044 KB Output is correct
38 Correct 149 ms 34756 KB Output is correct
39 Correct 156 ms 34772 KB Output is correct
40 Correct 138 ms 32452 KB Output is correct
41 Correct 157 ms 35444 KB Output is correct
42 Correct 153 ms 35052 KB Output is correct
43 Correct 120 ms 38212 KB Output is correct
44 Correct 159 ms 35484 KB Output is correct
45 Correct 190 ms 46092 KB Output is correct
46 Correct 154 ms 35060 KB Output is correct
47 Correct 152 ms 35264 KB Output is correct
48 Correct 155 ms 38620 KB Output is correct
49 Correct 126 ms 43588 KB Output is correct
50 Correct 112 ms 35920 KB Output is correct
51 Correct 155 ms 41128 KB Output is correct
52 Correct 211 ms 49216 KB Output is correct
53 Correct 237 ms 52072 KB Output is correct
54 Correct 271 ms 57412 KB Output is correct
55 Correct 119 ms 37872 KB Output is correct
56 Correct 220 ms 52932 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8688 KB Output is correct
3 Correct 6 ms 8608 KB Output is correct
4 Correct 6 ms 8780 KB Output is correct
5 Correct 6 ms 8908 KB Output is correct
6 Correct 6 ms 8908 KB Output is correct
7 Correct 6 ms 8888 KB Output is correct
8 Correct 6 ms 8908 KB Output is correct
9 Correct 118 ms 27972 KB Output is correct
10 Correct 147 ms 32336 KB Output is correct
11 Correct 146 ms 31940 KB Output is correct
12 Correct 160 ms 33348 KB Output is correct
13 Correct 121 ms 35560 KB Output is correct
14 Correct 142 ms 28100 KB Output is correct
15 Correct 381 ms 34128 KB Output is correct
16 Correct 367 ms 33348 KB Output is correct
17 Correct 382 ms 34884 KB Output is correct
18 Correct 460 ms 37268 KB Output is correct
19 Correct 458 ms 38368 KB Output is correct
20 Correct 449 ms 39572 KB Output is correct
21 Correct 531 ms 38864 KB Output is correct
22 Correct 453 ms 39576 KB Output is correct
23 Correct 498 ms 39268 KB Output is correct
24 Correct 451 ms 38132 KB Output is correct
25 Correct 482 ms 38956 KB Output is correct
26 Correct 477 ms 37960 KB Output is correct
27 Correct 6 ms 8908 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 7 ms 8940 KB Output is correct
30 Correct 6 ms 8908 KB Output is correct
31 Correct 6 ms 8908 KB Output is correct
32 Correct 7 ms 8916 KB Output is correct
33 Correct 6 ms 8908 KB Output is correct
34 Correct 6 ms 8908 KB Output is correct
35 Correct 6 ms 8908 KB Output is correct
36 Correct 18 ms 12352 KB Output is correct
37 Correct 154 ms 35056 KB Output is correct
38 Correct 153 ms 35260 KB Output is correct
39 Correct 162 ms 35044 KB Output is correct
40 Correct 149 ms 34756 KB Output is correct
41 Correct 156 ms 34772 KB Output is correct
42 Correct 138 ms 32452 KB Output is correct
43 Correct 157 ms 35444 KB Output is correct
44 Correct 153 ms 35052 KB Output is correct
45 Correct 120 ms 38212 KB Output is correct
46 Correct 159 ms 35484 KB Output is correct
47 Correct 29 ms 12336 KB Output is correct
48 Correct 360 ms 39016 KB Output is correct
49 Correct 387 ms 39108 KB Output is correct
50 Correct 372 ms 38964 KB Output is correct
51 Correct 359 ms 38756 KB Output is correct
52 Correct 342 ms 37248 KB Output is correct
53 Correct 273 ms 31404 KB Output is correct
54 Correct 374 ms 39852 KB Output is correct
55 Correct 422 ms 38980 KB Output is correct
56 Correct 421 ms 41412 KB Output is correct
57 Correct 354 ms 39744 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8652 KB Output is correct
2 Correct 5 ms 8652 KB Output is correct
3 Correct 5 ms 8688 KB Output is correct
4 Correct 6 ms 8608 KB Output is correct
5 Correct 6 ms 8780 KB Output is correct
6 Correct 6 ms 8908 KB Output is correct
7 Correct 6 ms 8908 KB Output is correct
8 Correct 6 ms 8888 KB Output is correct
9 Correct 6 ms 8908 KB Output is correct
10 Correct 118 ms 27972 KB Output is correct
11 Correct 147 ms 32336 KB Output is correct
12 Correct 146 ms 31940 KB Output is correct
13 Correct 160 ms 33348 KB Output is correct
14 Correct 121 ms 35560 KB Output is correct
15 Correct 142 ms 28100 KB Output is correct
16 Correct 381 ms 34128 KB Output is correct
17 Correct 367 ms 33348 KB Output is correct
18 Correct 382 ms 34884 KB Output is correct
19 Correct 460 ms 37268 KB Output is correct
20 Correct 458 ms 38368 KB Output is correct
21 Correct 449 ms 39572 KB Output is correct
22 Correct 531 ms 38864 KB Output is correct
23 Correct 453 ms 39576 KB Output is correct
24 Correct 498 ms 39268 KB Output is correct
25 Correct 451 ms 38132 KB Output is correct
26 Correct 482 ms 38956 KB Output is correct
27 Correct 477 ms 37960 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 6 ms 8908 KB Output is correct
30 Correct 7 ms 8940 KB Output is correct
31 Correct 6 ms 8908 KB Output is correct
32 Correct 6 ms 8908 KB Output is correct
33 Correct 7 ms 8916 KB Output is correct
34 Correct 6 ms 8908 KB Output is correct
35 Correct 6 ms 8908 KB Output is correct
36 Correct 6 ms 8908 KB Output is correct
37 Correct 18 ms 12352 KB Output is correct
38 Correct 154 ms 35056 KB Output is correct
39 Correct 153 ms 35260 KB Output is correct
40 Correct 162 ms 35044 KB Output is correct
41 Correct 149 ms 34756 KB Output is correct
42 Correct 156 ms 34772 KB Output is correct
43 Correct 138 ms 32452 KB Output is correct
44 Correct 157 ms 35444 KB Output is correct
45 Correct 153 ms 35052 KB Output is correct
46 Correct 120 ms 38212 KB Output is correct
47 Correct 159 ms 35484 KB Output is correct
48 Correct 29 ms 12336 KB Output is correct
49 Correct 360 ms 39016 KB Output is correct
50 Correct 387 ms 39108 KB Output is correct
51 Correct 372 ms 38964 KB Output is correct
52 Correct 359 ms 38756 KB Output is correct
53 Correct 342 ms 37248 KB Output is correct
54 Correct 273 ms 31404 KB Output is correct
55 Correct 374 ms 39852 KB Output is correct
56 Correct 422 ms 38980 KB Output is correct
57 Correct 421 ms 41412 KB Output is correct
58 Correct 354 ms 39744 KB Output is correct
59 Correct 142 ms 15880 KB Output is correct
60 Correct 374 ms 34408 KB Output is correct
61 Correct 371 ms 33720 KB Output is correct
62 Correct 382 ms 35260 KB Output is correct
63 Correct 518 ms 37584 KB Output is correct
64 Correct 6 ms 8940 KB Output is correct
65 Correct 6 ms 8936 KB Output is correct
66 Correct 6 ms 8908 KB Output is correct
67 Correct 7 ms 9000 KB Output is correct
68 Correct 6 ms 8908 KB Output is correct
69 Correct 8 ms 9036 KB Output is correct
70 Correct 7 ms 9036 KB Output is correct
71 Correct 7 ms 9156 KB Output is correct
72 Correct 6 ms 8908 KB Output is correct
73 Correct 7 ms 9164 KB Output is correct
74 Correct 190 ms 46092 KB Output is correct
75 Correct 154 ms 35060 KB Output is correct
76 Correct 152 ms 35264 KB Output is correct
77 Correct 155 ms 38620 KB Output is correct
78 Correct 126 ms 43588 KB Output is correct
79 Correct 112 ms 35920 KB Output is correct
80 Correct 155 ms 41128 KB Output is correct
81 Correct 211 ms 49216 KB Output is correct
82 Correct 237 ms 52072 KB Output is correct
83 Correct 271 ms 57412 KB Output is correct
84 Correct 119 ms 37872 KB Output is correct
85 Correct 220 ms 52932 KB Output is correct
86 Correct 105 ms 22524 KB Output is correct
87 Correct 376 ms 39008 KB Output is correct
88 Correct 351 ms 39020 KB Output is correct
89 Correct 469 ms 41284 KB Output is correct
90 Correct 267 ms 49040 KB Output is correct
91 Correct 312 ms 46112 KB Output is correct
92 Correct 450 ms 43612 KB Output is correct
93 Correct 442 ms 52380 KB Output is correct
94 Correct 665 ms 55928 KB Output is correct
95 Correct 511 ms 61380 KB Output is correct
96 Correct 422 ms 41544 KB Output is correct
97 Correct 543 ms 48572 KB Output is correct