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Questions tagged [integer]

For challenges involving the manipulation of integers.

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15
votes
45answers
2k views

Print the Lost numbers

As a big fan of the Lost TV series, I always got intrigued by the sequence of numbers that repetitively appears on the episodes. These numbers are: \$ 4, 8, 15, 16, 23, 42\$ (A104101) Using any ...
13
votes
27answers
2k views

The inverse Collatz Conjecture

I think the Collatz Conjecture is already well-known. But what if we invert the rules? Start with an integer n >= 1. Repeat the following steps: If n is even, multiply it by 3 and add 1. If n is ...
24
votes
25answers
1k views

New Neighbour Sequence

The non-negative integers are bored of always having the same two* neighbours, so they decide to mix things up a little. However, they are also lazy and want to stay as close as possible to their ...
17
votes
19answers
2k views

The Written Digits Sequence

Here's a reasonably trivial sequence which is not in the Online Encyclopedia of Integer Sequences. Start with an empty sequence then define each term as the number of characters required to write out,...
9
votes
24answers
953 views

Multiplicative undelta

Let us define the "multiplicative deltas" of values \$[\; a_0, \cdots a_N, \;]\$ as: $$ [\; a_1 / a_0, \cdots, a_{i+1} / a_i, \cdots, a_N / a_{N-1} \;] $$ The reverse operation - namely "...
15
votes
16answers
909 views

Length of a UTF-8 byte sequence

Determine the length of a UTF-8 byte sequence given its first byte. The following table shows which ranges map to each possible length: ...
15
votes
9answers
618 views

Stagger, stack, sum

Inspired by this Stack Overflow question. The challenge Input An array of square matrices containing non-negative integers. Output A square matrix built from the input matrices as follows. Let \$...
26
votes
18answers
3k views

Make them sum to 10,000

We've recently reached the threshold of 10,000 questions on PPCG. Hooray! Let's celebrate this with a simple challenge. Input Two integers \$A\$ and \$B\$, both in \$[1..9999]\$, such that \$A+B<...
-1
votes
1answer
131 views

Every positive integer can be written as the sum of 3 palindrome integers. Wha'ts the largest possible palindrome integer for each integer n? [duplicate]

Let n be a positive integer then n = a + b + c for some a, b, and c that are palindrome integers. What is the largest possible integer ...
17
votes
18answers
4k views

Longest Repeating Subsequence of a Single Digit

Challenge: Given a positive integer, output the longest single-digit subsequence that occurs at least twice, AND has boundaries of another digit (or the start/end of the integer). An example: Input:...
10
votes
7answers
654 views

Whose neighbours are hostile?

Introduction For the purposes of this challenge, we will define the neighbours of an element \$E\$ in a square matrix \$A\$ (such that \$E=A_{i,j}\$) as all the entries of \$A\$ that are immediately ...
33
votes
41answers
5k views

Half, Half Half, and, Half

Consider the following number sequence: \$ 0, \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}, \frac{1}{16}, \frac{3}{16}, \frac{5}{16}, \frac{7}{16}, \...
18
votes
20answers
5k views

Simplistic Lava Lamp

Introduction: I think everyone knows what a Lava Lamp is, but in case they do not: (Image source) They're basically glass tubes that contain wax in a translucent liquid. The bottom part is heated ...
22
votes
16answers
2k views

Crown hundred crownty crown

I noticed a certain game had a peculiar life counter, which instead of stopping at 999, gained a new digit – the next number was crown hundred or ...
14
votes
15answers
1k views

Missing numbers in arithmetic sum

Challenge Giving a valid arithmetic sum with some missing numbers, output the full expression. Example: ...
7
votes
20answers
457 views

Find the \$\left(n^2\right)^\text{th }n\$-gonal number

Given a non-negative integer, \$n\$, yield the \$(n^2)^\text{th } n\$-gonal number. Further Detail: The \$x\$-gonal numbers, or polygonal numbers, are also known as the two-dimensional figurate ...
12
votes
11answers
1k views

Codegolf Rainbow : Fun with Integer-Arrays

Introduction: (Source: Wikipedia) When we look at a rainbow it will always have the colors from top to bottom: Red; orange; yellow; green; blue; indigo; violet If we look at these individual rings, ...
15
votes
21answers
1k views

Fill up to duplicate ranges

Let \$L\$ be a list of positive integers with no particular ordering, and which can contain duplicates. Write a program or function which outputs a list of positive integers \$M\$ (whose ordering is ...
25
votes
15answers
2k views

Toggle some bits and get a square

Given an integer \$N>3\$, you have to find the minimum number of bits that need to be inverted in \$N\$ to turn it into a square number. You are only allowed to invert bits below the most ...
17
votes
34answers
959 views

Calculate power series result [duplicate]

Related: Calculate Power Series Coefficients Given a positive integer \$X\$ and a max exponent (Also a positive integer too) \$N\$ calculate the result of a power series. Example: $$X^0+X^1+X^2+\...
19
votes
8answers
775 views

Spiral neighbourhoods

If we take the natural numbers and roll them up counter clock-wise into a spiral we end up with the following infinite spiral: ...
13
votes
12answers
2k views

Small Ramsey Numbers

Background: the Ramsey number \$R(r,s)\$ gives the minimum number of vertices \$v\$ in the complete graph \$K_v\$ such that a red/blue edge coloring of \$K_v\$ has at least one red \$K_r\$ or one blue ...
17
votes
7answers
637 views

Stacked digit staircases

Given positive integers \$w\$ and \$h\$ output \$w\$ columns and \$h\$ rows of text as described below. The first row begins with 11 0s, the second row with 10 <...
-2
votes
7answers
416 views

Calculate the sum of all odd digits of pi in range [duplicate]

Introduction In the not so distant future with the AI revolution, we will need a way to solve their captchas to prove we're not humans. This challenge was inspired by CommitStrip. Challenge One ...
6
votes
10answers
549 views

How many bytes is it

This time, we want render the count of bytes in a human readable way to user. Let's write a program (a full one or a function or other acceptable formats) to do this. Input An non-negative integer, ...
25
votes
30answers
2k views

Let's design a digit mosaic

Challenge Given a positive integer \$N\$, repeat each of its digits \$d_1, d_2, d_3, \cdots, d_n\$ a number of times corresponding to its position in \$N\$. In other words, each digit \$d_k\$ should ...
25
votes
29answers
2k views

Replace me by the sum of my cyclic successors!

I have a simple challenge for you this time. Given an array of positive integers A (or the equivalent in your language), replace each entry Ai with the sum of the next Ai elements of A, cycling back ...
16
votes
8answers
655 views

Classify a region by its slope

Definitions The kth ring of a square matrix of size N, where 1 ≤ k ≤ ceiling(N/2) is the list formed by the elements of the kth and (N-k+1)th rows and columns, but without the first and last k-1 ...
21
votes
39answers
3k views

X Steps Forward, 1 Step Back

Here the first 100 numbers of an easy sequence: ...
34
votes
42answers
3k views

Up and down, up and down

Challenge: Given a positive integer input n, create a vector that follows this pattern: 0 1 0 -1 -2 -1 0 1 2 3 2 1 0 -1 -2 -3 -4 -3 -2 -1 ... ±(n-1) ±n ...
3
votes
0answers
163 views

Make Three from One [duplicate]

Given a single digit integer and a three digit integer, output a mathematical formula that uses only the single digit and a given list of operators to equal the three digit integer. Input: A one ...
24
votes
15answers
2k views

Modular broadcasting

This challenge is related to some of the MATL language's features, as part of the May 2018 Language of the Month event. Introduction In MATL, many two-input functions work element-wise with ...
24
votes
10answers
2k views

Knight Distance

In Chess, a Knight on grid (x, y) may move to (x-2, y-1), (x-2, y+1), (x-1, y-2), (x-1, y+2), (x+1, y-2), (x+1, y+2), (x+2, y-1), (x+2, y+1) in one step. Imagine an infinite chessboard with only a ...
3
votes
2answers
72 views

Generate lowest degree polynomial from sequence [duplicate]

Introduction A sequence of numbers is passed in as the input. The program has to generate the lowest degree polynomial possible. This was my first programming project in college and it would be ...
13
votes
13answers
1k views

Arithmetic Cycle

Input: Integer n which is >=0 or >=1 (f(0) is ...
12
votes
8answers
767 views

Digit Occurrences

Input: A list of integers (which will never contain a zero) Output: A list of the same size with counts based on the following: If the current item is negative: Look at all items before this item, ...
21
votes
16answers
1k views

Interval Notations

Challenge: Input: Two integer parameters a and b (where a<b and the difference is at ...
23
votes
15answers
2k views

Not Quite Roman Ternary

Given an integer n ≥ 0 , output it in a non-positional base-3 notation, using digits 139ABCDE… and a 1-character separator. Every digit is a consecutive power of 3 ...
32
votes
33answers
2k views

Digits in their lanes

Input: A list of integers Output: Put each digit (and the minus sign) in its own lane, in the order -0123456789, ignoring any duplicated digits. Example: Input:...
30
votes
47answers
4k views

Which Card is it?

Introduction Long ago, when I used to code card games with usual playing cards, I used to specify a number for each card and call a function with some number to get a card. This somewhat inspired me ...
20
votes
14answers
1k views

Is this a truncated triangular number?

Related OEIS sequence: A008867 Truncated triangular number A common property of triangular numbers is that they can be arranged in a triangle. For instance, take 21 and arrange into a triangle of <...
11
votes
3answers
844 views

Crazy but Rational Bases

We have many challenges based on base 10, base 2, base 36, or even base -10, but what about all the other rational bases? Task Given an integer in base 10 and a rational base, return the integer in ...
12
votes
5answers
179 views

Reduced Factorization Leader Changes

tl;dr: Output the values where the reduced prime factorization leader changes. Every positive integer has a unique prime factorization. Let's call the reduced prime factorization just the list of ...
15
votes
19answers
1k views

Make Zero From First 'n' Numbers

Challenge The challenge is to write a code that takes a positive integer 'n' as an input and displays all the possible ways in which the numbers from 1 - n can be written, with either positive or ...
14
votes
9answers
1k views

Find The Local Maxima And Minima

Definition The maxima and minima of a given function are the largest and smallest values of the function either within a given range or otherwise within the entire domain of the function. Challenge ...
33
votes
8answers
935 views

Can square tree rings be generated from primes?

Apparently yes! In three easy steps. Step 1 Let f(n) denote the prime-counting function (number of primes less than or equal to n). Define the integer sequence s(n) as follows. For each positive ...
28
votes
8answers
2k views

Find number of ones to get a number using + and *

Introduction Your goal is to find the least number of ones you need to add or multiply together to get the input value, this is A005245. Input One positive integer N. Output The smallest number ...
14
votes
4answers
910 views

Bottom part of the Hourglass

Challenge: Input: Three integers: bottom-edge length; starting amount of grains of sand; index Output: Output the state of the bottom part of an hourglass at the given index, based on the given ...
19
votes
17answers
2k views

Find Integral Roots of A Polynomial

Challenge The challenge is to write a program that takes the coefficients of any n-degree polynomial equation as input and returns the integral values of x for which the equation holds true. The ...
18
votes
12answers
2k views

Olympic Rings Sequence

Challenge: Given an index integer n, either output the n'th item in this sequence, or output the sequence up to and including ...