Maurice Tutor

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Teaching Since: May 2017
Last Sign in: 399 Weeks Ago
Questions Answered: 66690
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Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 16 Sep 2017 My Price 9.00

Chef Anup

Chef Anup is making dishes. Each dish consists of N ingredients, and quantity of each ingredient is an integer between 1 and K inclusive.

Relative quality of 2 dishes is determined by their lexicographic order. Dish A is of lower quality than dish B if there is a position i (1Aj = Bj for all j Ai Bi.
E.g., if N = 2 and K = 2, then the possible dishes in lexicographic order are (1,1), (1,2), (2,1), (2,2).

Given an integer L, determine the Lth possible dish in increasing order of quality.

Input

  • The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
  • Each test case description consists of a single line containing three integers N, K and L as described above.

Output

  • For each test case, print N space-separated integers in a single line describing the quantities of the ingredients for the Lth dish.

Constraints

  • 1 = T = 10
  • For 20 points : N = 3, 2 = K = 102, 1 = L = 106
  • For 30 points : 1 = N = 102, 2 = K = 102, 1 = L = 104
  • For 50 points : 1 = N = 103, 2 = K = 103, 1 = L = 1018
  • L will not exceed the total number of possible dishes.

Example

Input: 4 3 3 1 3 3 2 3 3 3 3 3 4 Output: 1 1 1 1 1 2 1 1 3 1 2 1

Explanation

First 4 dishes in order have ingredients (1,1,1), (1,1,2), (1,1,3), and (1,2,1).

Input: 4 4 3 1 4 3 2 4 3 3 4 3 4 Output: 1 1 1 1 1 1 1 2 1 1 1 3 1 1 2 1

Explanation

First 4 dishes in order have ingredients (1,1,1,1), (1,1,1,2), (1,1,1,3), and (1,1,2,1).

Answers

Maurice Tutor
(5)
Status NEW Posted 16 Sep 2017 02:09 PM My Price 9.00

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