g0301_0400.s0399_evaluate_division.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0301_0400.s0399_evaluate_division;
// #Medium #Array #Depth_First_Search #Breadth_First_Search #Graph #Union_Find #Shortest_Path
// #2022_07_15_Time_1_ms_(99.52%)_Space_43_MB_(20.05%)
import java.util.HashMap;
import java.util.List;
import java.util.Map;
public class Solution {
private Map root;
private Map rate;
public double[] calcEquation(
List> equations, double[] values, List> queries) {
root = new HashMap<>();
rate = new HashMap<>();
int n = equations.size();
for (List equation : equations) {
String x = equation.get(0);
String y = equation.get(1);
root.put(x, x);
root.put(y, y);
rate.put(x, 1.0);
rate.put(y, 1.0);
}
for (int i = 0; i < n; ++i) {
String x = equations.get(i).get(0);
String y = equations.get(i).get(1);
union(x, y, values[i]);
}
double[] result = new double[queries.size()];
for (int i = 0; i < queries.size(); ++i) {
String x = queries.get(i).get(0);
String y = queries.get(i).get(1);
if (!root.containsKey(x) || !root.containsKey(y)) {
result[i] = -1;
continue;
}
String rootX = findRoot(x, x, 1.0);
String rootY = findRoot(y, y, 1.0);
result[i] = rootX.equals(rootY) ? rate.get(x) / rate.get(y) : -1.0;
}
return result;
}
private void union(String x, String y, double v) {
String rootX = findRoot(x, x, 1.0);
String rootY = findRoot(y, y, 1.0);
root.put(rootX, rootY);
double r1 = rate.get(x);
double r2 = rate.get(y);
rate.put(rootX, v * r2 / r1);
}
private String findRoot(String originalX, String x, double r) {
if (root.get(x).equals(x)) {
root.put(originalX, x);
rate.put(originalX, r * rate.get(x));
return x;
}
return findRoot(originalX, root.get(x), r * rate.get(x));
}
}