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Submission #392865

# Submission time Handle Problem Language Result Execution time Memory
392865 2021-04-22T04:02:43 Z wind_reaper Swapping Cities (APIO20_swap) C++17
100 / 100
 679 ms 55144 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;

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

vector<int> g[MXS];
int nxtnode = 0;

// ******************** 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 6 ms 8652 KB Output is correct
2 Correct 6 ms 8708 KB Output is correct
3 Correct 6 ms 8668 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 7 ms 8940 KB Output is correct
8 Correct 7 ms 8968 KB Output is correct
9 Correct 127 ms 28576 KB Output is correct
10 Correct 178 ms 32904 KB Output is correct
11 Correct 165 ms 32424 KB Output is correct
12 Correct 160 ms 33880 KB Output is correct
13 Correct 124 ms 36236 KB Output is correct
14 Correct 143 ms 28568 KB Output is correct
15 Correct 368 ms 34696 KB Output is correct
16 Correct 427 ms 33984 KB Output is correct
17 Correct 388 ms 35460 KB Output is correct
18 Correct 462 ms 37772 KB Output is correct
19 Correct 145 ms 16372 KB Output is correct
20 Correct 384 ms 34936 KB Output is correct
21 Correct 372 ms 34308 KB Output is correct
22 Correct 410 ms 35932 KB Output is correct
23 Correct 514 ms 38204 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8652 KB Output is correct
2 Correct 6 ms 8708 KB Output is correct
3 Correct 456 ms 38800 KB Output is correct
4 Correct 458 ms 40052 KB Output is correct
5 Correct 507 ms 39308 KB Output is correct
6 Correct 453 ms 39860 KB Output is correct
7 Correct 488 ms 39748 KB Output is correct
8 Correct 463 ms 38556 KB Output is correct
9 Correct 461 ms 39368 KB Output is correct
10 Correct 459 ms 38284 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8652 KB Output is correct
2 Correct 6 ms 8708 KB Output is correct
3 Correct 6 ms 8668 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 7 ms 8940 KB Output is correct
8 Correct 7 ms 8968 KB Output is correct
9 Correct 6 ms 8668 KB Output is correct
10 Correct 6 ms 8908 KB Output is correct
11 Correct 6 ms 8908 KB Output is correct
12 Correct 6 ms 8908 KB Output is correct
13 Correct 6 ms 8908 KB Output is correct
14 Correct 6 ms 8908 KB Output is correct
15 Correct 6 ms 8908 KB Output is correct
16 Correct 7 ms 8956 KB Output is correct
17 Correct 7 ms 8864 KB Output is correct
18 Correct 6 ms 8908 KB Output is correct
19 Correct 7 ms 8908 KB Output is correct
20 Correct 7 ms 8908 KB Output is correct
21 Correct 7 ms 8908 KB Output is correct
22 Correct 7 ms 9036 KB Output is correct
23 Correct 6 ms 8908 KB Output is correct
24 Correct 7 ms 9144 KB Output is correct
25 Correct 7 ms 9036 KB Output is correct
26 Correct 7 ms 9072 KB Output is correct
27 Correct 6 ms 8908 KB Output is correct
28 Correct 8 ms 9100 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8668 KB Output is correct
2 Correct 6 ms 8652 KB Output is correct
3 Correct 6 ms 8708 KB Output is correct
4 Correct 6 ms 8668 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 7 ms 8940 KB Output is correct
9 Correct 7 ms 8968 KB Output is correct
10 Correct 127 ms 28576 KB Output is correct
11 Correct 178 ms 32904 KB Output is correct
12 Correct 165 ms 32424 KB Output is correct
13 Correct 160 ms 33880 KB Output is correct
14 Correct 124 ms 36236 KB Output is correct
15 Correct 6 ms 8908 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 8908 KB Output is correct
20 Correct 6 ms 8908 KB Output is correct
21 Correct 7 ms 8956 KB Output is correct
22 Correct 7 ms 8864 KB Output is correct
23 Correct 6 ms 8908 KB Output is correct
24 Correct 7 ms 8908 KB Output is correct
25 Correct 7 ms 8908 KB Output is correct
26 Correct 7 ms 8908 KB Output is correct
27 Correct 7 ms 9036 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 7 ms 9144 KB Output is correct
30 Correct 7 ms 9036 KB Output is correct
31 Correct 7 ms 9072 KB Output is correct
32 Correct 6 ms 8908 KB Output is correct
33 Correct 8 ms 9100 KB Output is correct
34 Correct 18 ms 12100 KB Output is correct
35 Correct 155 ms 33348 KB Output is correct
36 Correct 154 ms 33348 KB Output is correct
37 Correct 154 ms 33344 KB Output is correct
38 Correct 156 ms 32936 KB Output is correct
39 Correct 150 ms 32836 KB Output is correct
40 Correct 141 ms 30924 KB Output is correct
41 Correct 157 ms 33380 KB Output is correct
42 Correct 160 ms 33404 KB Output is correct
43 Correct 123 ms 36444 KB Output is correct
44 Correct 182 ms 33360 KB Output is correct
45 Correct 184 ms 43076 KB Output is correct
46 Correct 157 ms 33352 KB Output is correct
47 Correct 151 ms 33472 KB Output is correct
48 Correct 157 ms 36580 KB Output is correct
49 Correct 128 ms 40956 KB Output is correct
50 Correct 104 ms 33708 KB Output is correct
51 Correct 152 ms 38496 KB Output is correct
52 Correct 211 ms 45892 KB Output is correct
53 Correct 237 ms 48356 KB Output is correct
54 Correct 245 ms 53572 KB Output is correct
55 Correct 119 ms 36204 KB Output is correct
56 Correct 223 ms 49288 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8652 KB Output is correct
2 Correct 6 ms 8708 KB Output is correct
3 Correct 6 ms 8668 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 7 ms 8940 KB Output is correct
8 Correct 7 ms 8968 KB Output is correct
9 Correct 127 ms 28576 KB Output is correct
10 Correct 178 ms 32904 KB Output is correct
11 Correct 165 ms 32424 KB Output is correct
12 Correct 160 ms 33880 KB Output is correct
13 Correct 124 ms 36236 KB Output is correct
14 Correct 143 ms 28568 KB Output is correct
15 Correct 368 ms 34696 KB Output is correct
16 Correct 427 ms 33984 KB Output is correct
17 Correct 388 ms 35460 KB Output is correct
18 Correct 462 ms 37772 KB Output is correct
19 Correct 456 ms 38800 KB Output is correct
20 Correct 458 ms 40052 KB Output is correct
21 Correct 507 ms 39308 KB Output is correct
22 Correct 453 ms 39860 KB Output is correct
23 Correct 488 ms 39748 KB Output is correct
24 Correct 463 ms 38556 KB Output is correct
25 Correct 461 ms 39368 KB Output is correct
26 Correct 459 ms 38284 KB Output is correct
27 Correct 6 ms 8908 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 6 ms 8908 KB Output is correct
30 Correct 6 ms 8908 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 8956 KB Output is correct
34 Correct 7 ms 8864 KB Output is correct
35 Correct 6 ms 8908 KB Output is correct
36 Correct 18 ms 12100 KB Output is correct
37 Correct 155 ms 33348 KB Output is correct
38 Correct 154 ms 33348 KB Output is correct
39 Correct 154 ms 33344 KB Output is correct
40 Correct 156 ms 32936 KB Output is correct
41 Correct 150 ms 32836 KB Output is correct
42 Correct 141 ms 30924 KB Output is correct
43 Correct 157 ms 33380 KB Output is correct
44 Correct 160 ms 33404 KB Output is correct
45 Correct 123 ms 36444 KB Output is correct
46 Correct 182 ms 33360 KB Output is correct
47 Correct 30 ms 11976 KB Output is correct
48 Correct 369 ms 34880 KB Output is correct
49 Correct 364 ms 34880 KB Output is correct
50 Correct 369 ms 34920 KB Output is correct
51 Correct 349 ms 34752 KB Output is correct
52 Correct 348 ms 33224 KB Output is correct
53 Correct 269 ms 27780 KB Output is correct
54 Correct 374 ms 35316 KB Output is correct
55 Correct 376 ms 34984 KB Output is correct
56 Correct 440 ms 37316 KB Output is correct
57 Correct 351 ms 35388 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8668 KB Output is correct
2 Correct 6 ms 8652 KB Output is correct
3 Correct 6 ms 8708 KB Output is correct
4 Correct 6 ms 8668 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 7 ms 8940 KB Output is correct
9 Correct 7 ms 8968 KB Output is correct
10 Correct 127 ms 28576 KB Output is correct
11 Correct 178 ms 32904 KB Output is correct
12 Correct 165 ms 32424 KB Output is correct
13 Correct 160 ms 33880 KB Output is correct
14 Correct 124 ms 36236 KB Output is correct
15 Correct 143 ms 28568 KB Output is correct
16 Correct 368 ms 34696 KB Output is correct
17 Correct 427 ms 33984 KB Output is correct
18 Correct 388 ms 35460 KB Output is correct
19 Correct 462 ms 37772 KB Output is correct
20 Correct 456 ms 38800 KB Output is correct
21 Correct 458 ms 40052 KB Output is correct
22 Correct 507 ms 39308 KB Output is correct
23 Correct 453 ms 39860 KB Output is correct
24 Correct 488 ms 39748 KB Output is correct
25 Correct 463 ms 38556 KB Output is correct
26 Correct 461 ms 39368 KB Output is correct
27 Correct 459 ms 38284 KB Output is correct
28 Correct 6 ms 8908 KB Output is correct
29 Correct 6 ms 8908 KB Output is correct
30 Correct 6 ms 8908 KB Output is correct
31 Correct 6 ms 8908 KB Output is correct
32 Correct 6 ms 8908 KB Output is correct
33 Correct 6 ms 8908 KB Output is correct
34 Correct 7 ms 8956 KB Output is correct
35 Correct 7 ms 8864 KB Output is correct
36 Correct 6 ms 8908 KB Output is correct
37 Correct 18 ms 12100 KB Output is correct
38 Correct 155 ms 33348 KB Output is correct
39 Correct 154 ms 33348 KB Output is correct
40 Correct 154 ms 33344 KB Output is correct
41 Correct 156 ms 32936 KB Output is correct
42 Correct 150 ms 32836 KB Output is correct
43 Correct 141 ms 30924 KB Output is correct
44 Correct 157 ms 33380 KB Output is correct
45 Correct 160 ms 33404 KB Output is correct
46 Correct 123 ms 36444 KB Output is correct
47 Correct 182 ms 33360 KB Output is correct
48 Correct 30 ms 11976 KB Output is correct
49 Correct 369 ms 34880 KB Output is correct
50 Correct 364 ms 34880 KB Output is correct
51 Correct 369 ms 34920 KB Output is correct
52 Correct 349 ms 34752 KB Output is correct
53 Correct 348 ms 33224 KB Output is correct
54 Correct 269 ms 27780 KB Output is correct
55 Correct 374 ms 35316 KB Output is correct
56 Correct 376 ms 34984 KB Output is correct
57 Correct 440 ms 37316 KB Output is correct
58 Correct 351 ms 35388 KB Output is correct
59 Correct 145 ms 16372 KB Output is correct
60 Correct 384 ms 34936 KB Output is correct
61 Correct 372 ms 34308 KB Output is correct
62 Correct 410 ms 35932 KB Output is correct
63 Correct 514 ms 38204 KB Output is correct
64 Correct 7 ms 8908 KB Output is correct
65 Correct 7 ms 8908 KB Output is correct
66 Correct 7 ms 8908 KB Output is correct
67 Correct 7 ms 9036 KB Output is correct
68 Correct 6 ms 8908 KB Output is correct
69 Correct 7 ms 9144 KB Output is correct
70 Correct 7 ms 9036 KB Output is correct
71 Correct 7 ms 9072 KB Output is correct
72 Correct 6 ms 8908 KB Output is correct
73 Correct 8 ms 9100 KB Output is correct
74 Correct 184 ms 43076 KB Output is correct
75 Correct 157 ms 33352 KB Output is correct
76 Correct 151 ms 33472 KB Output is correct
77 Correct 157 ms 36580 KB Output is correct
78 Correct 128 ms 40956 KB Output is correct
79 Correct 104 ms 33708 KB Output is correct
80 Correct 152 ms 38496 KB Output is correct
81 Correct 211 ms 45892 KB Output is correct
82 Correct 237 ms 48356 KB Output is correct
83 Correct 245 ms 53572 KB Output is correct
84 Correct 119 ms 36204 KB Output is correct
85 Correct 223 ms 49288 KB Output is correct
86 Correct 108 ms 21124 KB Output is correct
87 Correct 369 ms 34888 KB Output is correct
88 Correct 352 ms 34880 KB Output is correct
89 Correct 456 ms 36932 KB Output is correct
90 Correct 254 ms 44356 KB Output is correct
91 Correct 289 ms 41196 KB Output is correct
92 Correct 460 ms 38832 KB Output is correct
93 Correct 449 ms 46772 KB Output is correct
94 Correct 679 ms 49732 KB Output is correct
95 Correct 475 ms 55144 KB Output is correct
96 Correct 420 ms 37572 KB Output is correct
97 Correct 558 ms 43332 KB Output is correct