Added solution 1

Author: verifiedHuman18

Problems/Mathematics/Day-01/sol/Ayush_Saha/Solution1.class

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+/*
+PROBLEM STATEMENT :
+
+There are n people standing in a circle. They are numbered from 1 to n in a clockwise order. The circle is even (i.e. n is even).
+
+Each person is looking at the person standing exactly opposite him in the circle.
+
+You are given three distinct integers a, b, and c. It is known that person a is looking at person b.
+
+Determine the number of the person that person c is looking at.
+If there are multiple answers, print any of them.
+If there is no answer, print -1.
+*/
+
+/*
+Approach:
+We first calculate the size of the circle. Knowing 'a' and 'b' is enough to know the size of the circle.
+Because we can know the number of people between 'a' and 'b' which would give us half the total number.
+We can easily get the person sitting opposite to any number once we know the size of the circle.
+*/
+
+import java.util.Scanner;
+
+public class Solution1 {
+    public static void main(String[] args) {
+        Scanner sc = new Scanner(System.in);
+        int t = sc.nextInt();
+        while (t-- > 0) {
+            int a = sc.nextInt();
+            int b = sc.nextInt();
+            int c = sc.nextInt();
+            int d;
+
+            int n = 2 * Math.abs(a - b);
+            if (a > n || b > n || c > n)
+                d = -1;
+            else {
+                int res = (c + (n / 2)) % n;
+                d = res != 0? res : n;
+            }
+
+            System.out.println(d);
+        }
+        sc.close();
+    }
+}