t: 4 Output: 5 Explaination: 4=4 4=3+1

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 req

positive integer decompose, find an algorithm to find the number of
non-negative number division, or decomposition.

The complexity is O(n^2).

Example 1:
Input: 4
Output: 5
Explaination:
4=4
4=3+1
4=2+2
4=2+1+1
4=1+1+1+1

Example :
Input: 7
Output: 15
Explaination:
7=7
7=6+1
7=5+2
7=5+1+1
7=4+3
7=4+2+1
7=4+1+1+1
7=3+3+1
7=3+2+2
7=3+2+1+1
7=3+1+1+1+1
7=2+2+2+1
7=2+2+1+1+1
7=2+1+1+1+1+1
7=1+1+1+1+1+1+1.

 

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