g2301_2400.s2392_build_a_matrix_with_conditions.Solution Maven / Gradle / Ivy
Go to download
Show more of this group Show more artifacts with this name
Show all versions of leetcode-in-java Show documentation
Show all versions of leetcode-in-java Show documentation
Java-based LeetCode algorithm problem solutions, regularly updated
package g2301_2400.s2392_build_a_matrix_with_conditions;
// #Hard #Array #Matrix #Graph #Topological_Sort
// #2022_09_02_Time_9_ms_(97.22%)_Space_50.2_MB_(99.69%)
import java.util.ArrayList;
import java.util.HashMap;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Queue;
public class Solution {
// Using topological sort to solve this problem
public int[][] buildMatrix(int k, int[][] rowC, int[][] colC) {
// First, get the topo-sorted of row and col
List row = toposort(k, rowC);
List col = toposort(k, colC);
// base case: when the length of row or col is less than k, return empty.
// That is: there is a loop in established graph
if (row.size() < k || col.size() < k) {
return new int[0][0];
}
int[][] res = new int[k][k];
Map map = new HashMap<>();
for (int i = 0; i < k; i++) {
// we record the number corresbonding to each column:
// [number, column index]
map.put(col.get(i), i);
}
// col: 3 2 1
// row: 1 3 2
for (int i = 0; i < k; i++) {
// For each row: we have number row.get(i). And we need to know
// which column we need to assign, which is from map.get(row.get(i))
// known by map.get()
res[i][map.get(row.get(i))] = row.get(i);
}
return res;
}
private List toposort(int k, int[][] matrix) {
// need a int[] to record the indegree of each number [1, k]
int[] deg = new int[k + 1];
// need a list to record the order of each number, then return this list
List res = new ArrayList<>();
// need a 2-D list to be the graph, and fill the graph
List> graph = new ArrayList<>();
for (int i = 0; i < k; i++) {
graph.add(new ArrayList<>());
}
// need a queue to do the BFS
Queue queue = new LinkedList<>();
// First, we need to establish the graph, following the given matrix
for (int[] a : matrix) {
int from = a[0];
int to = a[1];
graph.get(from - 1).add(to);
deg[to]++;
}
// Second, after building a graph, we start the bfs,
// that is, traverse the node with 0 degree
for (int i = 1; i <= k; i++) {
if (deg[i] == 0) {
queue.offer(i);
res.add(i);
}
}
// Third, start the topo sort
while (!queue.isEmpty()) {
int node = queue.poll();
List list = graph.get(node - 1);
for (int i : list) {
if (--deg[i] == 0) {
queue.offer(i);
res.add(i);
}
}
}
return res;
}
}