Answered: impler, assume the k is 2^x, So the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Code it.

The mergeTwoLists function in my code comes from the problem Merge Two Sorted Lists
whose complexity obviously is O(n), n is the sum of length of l1 and l2.

To put it simpler, assume the k is 2^x, So the progress of combination is like a full binary tree,
from bottom to top. So on every level of tree, the combination complexity is n,
because every level have all n numbers without repetition.
The level of tree is x, ie log k. So the complexity is O(n log k).

for example, 8 ListNode, and the length of every ListNode is x1, x2,
x3, x4, x5, x6, x7, x8, total is n.

on level 3: x1+x2, x3+x4, x5+x6, x7+x8 sum: n

on level 2: x1+x2+x3+x4, x5+x6+x7+x8 sum: n

on level 1: x1+x2+x3+x4+x5+x6+x7+x8 sum: n.

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