Find the Missing Variable - Flipkart Online Assessment SDE Role IIIT Bhubaneswar

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"You are given an **N x 5** matrix where each row represents a mathematical relationship between five variables: **a, b, c, d,** and **e**. For every row, the variables strictly satisfy the following equation: **e = (a + b + c) * d** In each row, exactly one of the five variables is unknown. The unknown variable is represented by the value **-1**. Your task is to calculate and output the exact integer value of the missing variable for each row. **Input Format** * The first line contains a single integer **N**, representing the number of rows in the matrix. * The next **N** lines each contain five space-separated integers representing the values of **a, b, c, d,** and **e** respectively for that row. **Output Format** * For each row, print a single integer on a new line representing the calculated value of the missing variable (the one initially marked as -1). **Constraints** * 1 <= **N** <= 10^5 * It is guaranteed that there will be exactly one **-1** in every row. * It is guaranteed that a valid integer solution exists for the missing variable. * All given non-negative variables and the resulting missing variable will fit within a standard 64-bit signed integer (long long). --- ### **Sample Input 1** ```text 3 -1 2 3 4 40 1 1 1 2 -1 2 0 0 -1 10 ``` ### **Sample Output 1** ```text 5 6 5 ``` ### **Explanation** * **Test Case 1:** The given values are b=2, c=3, d=4, e=40, and **a** is missing. Substituting into the formula: 40 = (a + 2 + 3) * 4 => 40 = (a + 5) * 4 => 10 = a + 5 => **a = 5**. * **Test Case 2:** The given values are a=1, b=1, c=1, d=2, and **e** is missing. Substituting into the formula: e = (1 + 1 + 1) * 2 => e = 3 * 2 => **e = 6**. * **Test Case 3:** The given values are a=2, b=0, c=0, e=10, and **d** is missing. Substituting into the formula: 10 = (2 + 0 + 0) * d => 10 = 2 * d => **d = 5**."