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package g0501_0600.s0592_fraction_addition_and_subtraction;
// #Medium #String #Math #Simulation #2022_08_25_Time_6_ms_(91.33%)_Space_40.8_MB_(97.33%)
import java.util.ArrayList;
import java.util.List;
public class Solution {
private int gcd(int a, int b) {
return a % b == 0 ? b : gcd(b, a % b);
}
private String format(int a, int b) {
int gcd = Math.abs(gcd(a, b));
return a / gcd + "/" + (b / gcd);
}
private int[] parse(String s) {
int idx = s.indexOf("/");
return new int[] {
Integer.parseInt(s.substring(0, idx)), Integer.parseInt(s.substring(idx + 1))
};
}
public String fractionAddition(String expression) {
int[] rst = {0, 1};
List list = new ArrayList<>();
StringBuilder sb = new StringBuilder().append(expression.charAt(0));
for (int i = 1; i < expression.length(); i++) {
char c = expression.charAt(i);
if (c == '+' || c == '-') {
list.add(parse(sb.toString()));
sb = new StringBuilder().append(c);
} else {
sb.append(c);
}
}
list.add(parse(sb.toString()));
for (int[] num : list) {
rst = new int[] {rst[0] * num[1] + rst[1] * num[0], rst[1] * num[1]};
}
return format(rst[0], rst[1]);
}
}
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