non that given an integer n, it finds all binary sequences of length 2n such that the sum of the first n bits is same as the sum of last n bits. Example: For n = 2, the sequences are: 1,1] [,2] [,3] L,4] [,51 (,61 [1,] 0 1 1 0 0 1 0 0 [2,1 0 [3,1 0 1 1 1 [4,1 0 1 0 1 1 For n 3, the sequences are: [] o 11 IO 0 o o 0 1 III IIO O 1 a1 o o 0 o 1. C幻 0 0 0 0 0 的 61 0 0 3. 1. O I 0 0 I 6O G1 0 0 0 IO O (2) Write a function that given an integer n computes all non-increasing partitions of n. Example: For n=3, 111 21 3 For n=4, 1111 22 211 31 4

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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(1) Write a function that given an integer n, it finds all binary sequences of length 2n such that the sum of the
first n bits is same as the sum of last n bits.
Example:
For n = 2, the sequences are:
I,1] [,2] [,3] [,4] L,51 [,6]
[1,] 0 1 1 0 0 1
0 0
[2,1 0
1 1 1
[3,1 0
1
0.
1.
[4,1 0
1
1
For n = 3, the sequences are:
[1 oI IO o o o o o I I
I III 0 o 0 1
a1 o o 0 I
1.
0 0 0 0 O I
1.
110
即 0
O 0 I O O
61 0 0 1
1.
L1 0 0 0 IO O
O 0 I 0 II0I
(2) Write a function that given an integer n computes all non-increasing partitions of n.
Example:
For n=3,
111
21
3
For n=4,
1111
22
211
31
4
Transcribed Image Text:(1) Write a function that given an integer n, it finds all binary sequences of length 2n such that the sum of the first n bits is same as the sum of last n bits. Example: For n = 2, the sequences are: I,1] [,2] [,3] [,4] L,51 [,6] [1,] 0 1 1 0 0 1 0 0 [2,1 0 1 1 1 [3,1 0 1 0. 1. [4,1 0 1 1 For n = 3, the sequences are: [1 oI IO o o o o o I I I III 0 o 0 1 a1 o o 0 I 1. 0 0 0 0 O I 1. 110 即 0 O 0 I O O 61 0 0 1 1. L1 0 0 0 IO O O 0 I 0 II0I (2) Write a function that given an integer n computes all non-increasing partitions of n. Example: For n=3, 111 21 3 For n=4, 1111 22 211 31 4
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