Print the Kth Digit

Posted: 2 Mar, 2021
Difficulty: Easy


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You are given three non-negative integers N, M, and K. Your task is to print the Kth digit from the right in ‘N’ raised to the power ‘M’ that is, in N ^ M.


1) It is guaranteed that the Kth digit from the right always exists.
2) It is also guaranteed that 'K' is always less than or equal to the number of digits in N ^ M.
3) 'N' and 'M 'can’t be a 0 simultaneously.
Input Format:
The first line contains an integer ‘T', which denotes the number of test cases or queries to be run. Then, the T test cases follow. 

The first line of each test case contains three non-negative integers N, M, and K, as described in the problem statement.
Output Format:
For each test case, print in a new line, an integer denoting the Kth digit in N^M from the right.

The output for each test case will be printed in a separate line.
You do not need to print anything. It has already been taken care of. Just implement the given function.
1 <= T <= 100
0 <= N <= 15
0 <= M <= 15
1 <= K <= Digits in N ^ M

Time Limit: 1sec.
Approach 1

The idea here is to use the pow function to find N raised to the power M. After finding the power, we start removing the digits from the last until we get the kth digit.


  • Create a long long int variable to store the power named as temp. Note that the value of N and M can go up to 15, which means N^M may not fit in the int. So, we have created a long long int type variable.
  • Make temp = pow(N,M).
  • Create an int variable to store the current digit place from the right named as cnt. Initialize it to 0.
  • Create an int variable called ans to store the answer. Initialize it to 0.
  • Run a while loop till temp > 0, here we are planning to iterate through the digits of the temp from right to left by using %10 (temp % 10 will give the last digit of temp) :
    • Find the last digit, lastDigit = temp % 10.
    • Increment the cnt by 1.
    • If cnt == K, which implies that we are at the Kth digit so, set ans equal to lastDigit and break the while loop:
    • Otherwise, we have to remove the last digit. So, just divide temp by 10,    temp /= 10.
  • Finally, return the variable ans.
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