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Not Too Hard

By techboy · Limits 1s, 512 MB

Showmik is very popular nowadays. Junior coders always seek help from him. He also wants them to improve their skills. So for them he has given a problem which is not too easy and again not too hard.
He is generating a tree which has the following properties:

  1. Each node takes 1 second to be created.
  2. Each node will have m child nodes. m will be equal to (current level + 1).
  3. Each node will be marked with a number starting from left. Number starts with 1.

He will give a random number N. They have to find the level number and mark number of the node being created at Nth second.


First line of input contains a single number T. T test cases follows. Each case has a single number N which indicates the Nth second.
T <= 10000
1 <= N <= 10^16


For each test case, print answer as the format “Case x: y z” without quotation. Here, x indicates the case number and y, z indicate the desired results. See sample input output for better understanding.


Case 1: 3 2
Case 2: 4 12
Case 3: 5 30
Case 4: 18 948498053512337

**NB: ** Tree is basically a graph which is connected and there is no cycle. There is only one root node and each node may have zero or more child nodes.



90% Solution Ratio

mridul_sustEarliest, Jan '17

kamrul_ashrafFastest, 0.0s

mridul_sustLightest, 131 kB

mdvirusShortest, 286B


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