Modular Multiplicative Inverse
Sun Feb 06 2022 02:13:52 GMT+0000 (UTC)
Saved by @Uttam #java #mathematics #gfg #geeksforgeeks #modularmultiplicativeinverse
11. Modular Multiplicative Inverse Given two integers ‘a’ and ‘m’. The task is to find the smallest modular multiplicative inverse of ‘a’ under modulo ‘m’. Example 1: Input: a = 3 m = 11 Output: 4 Explanation: Since (4*3) mod 11 = 1, 4 is modulo inverse of 3. One might think, 15 also as a valid output as "(15*3) mod 11" is also 1, but 15 is not in ring {0, 1, 2, ... 10}, so not valid. Example 2: Input: a = 10 m = 17 Output: 12 Explanation: Since (12*10) mod 17 = 1, 12 is the modulo inverse of 10. Your Task: You don't need to read input or print anything. Your task is to complete the function modInverse() that takes a and m as input parameters and returns modular multiplicative inverse of ‘a’ under modulo ‘m’. If the modular multiplicative inverse doesn't exist return -1. Expected Time Complexity: O(m) Expected Auxilliary Space: O(1) Constraints: 1 <= a <= 10^4 1 <= m <= 10^4
https://practice.geeksforgeeks.org/problems/modular-multiplicative-inverse-1587115620/1/?track=DSASP-Mathematics&batchId=190
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