# Algorithm for 'good' number

A give number x is 'good' if the sum of any two consecutive digit of the number x are between k and 2k.I need to find an algorithm that for a given number k and a given number n, find how many 'good' n-digit numbers exist.

# Consecutive Nouns

She wanted pure cow milk.If so, is this a case of two nouns being used consecutively?

# Is there an ambiguity in “promoted twice in consecutive years”?

I want to convey that I got one promotion each in 2011 and 2012, while also subtly bringing to notice that getting promotions in consecutive years is rather rare and special.Not sure if "promoted in consecutive years" makes it clear that I got two promotions.

# Pronunciation rule if two consecutive consonants followed by a vowel [closed]

Is it a common rule to elide the last one if there are two consecutive consonants followed by a vowel just like this case one hundred "and eighty"?Is it a common rule to elide the last consonant if there are two consecutive ones followed by a vowel?

# How to efficiently play two consecutive notes on the same fret?

Or any time you have to play a similar descending two note sequence on adjoining strings on same fret.I have tried "rolling" the same finger over the two notes, but that just feels too sloppy.

# Determine the number of unique values between consecutive rows

For instance, if in row[A] is 12,22,5,7; in row B is 22,7,3,6 then the number is 2, etc.in row b we have two new number 3,6.

# Replace continuous 0s to 1s in an one-dimensional numpy array [duplicate]

In the absence of any better idea:

for _ in range(threshold - 1):
a |= np.roll(a, 1)

(This code does not take care of the trailing zeros.

# Sum of two consecutive squares equals difference of two consecutive cubes

My upcoming 61st birthday was challenging, but then
I noticed that $61 = 5^2 + 6^2 = 5^3 - 4^3$, the sum of two consecutive squares
and the difference of two consecutive cubes.I wondered what other numbers
had this property; that is, the integer solutions to
$a^2+(a+1)^{2} = (b+1)^3 - b^3$ or equivalently $2a^2+2a = 3b^2+3b$.

# Number of binary strings with 'at least two consecutives' constraints

I'm trying to count the number of binary strings of length $n$ with the properties described below.Call strings in which all runs are of length at least 2 "duplicative strings".

# Chromatic number of a graph defined by $n$ lines on the plane

Given $n$ lines on the plane, consider all their intersection points.Find the minimal number $d=d(n)$ such that they may be always colored in $d$ colors so that on each line any two consecutive points have different color.

# Are all partial consecutive harmonic subsums distinct?

A partial consecutive harmonic subsum is a number $H(a,b)$ of the form $H_b - H_a$ (with $H_0=0$).If $c=a$ and $d=b$ are two other integers we have of course

# expected number of shared 1s between two binary strings from a given set

Let say, I have two binary strings with length N, chosen from a set where there are $2^N-K,(K \ge 0)$ independent strings.What would be the expected number of Ones at the same index from two randomly picked strings from the set?

# Will a given pattern ever show up in an infinite random sequence of 0s and 1s?

Here the pattern is a finite or infinite sequence of 0s and 1s, not necessarily consecutive, for example, $\lbrace 1, *, 1, *, 1 \rbrace$ and $\lbrace 0, *, 0, *, 0, *, \ldots \rbrace$ ($*$, hole position not cared), which is to be moved along a given infinite binary sequence for a match.If the pattern is finite, the probability of that pattern ever showing up in a randomly selected infinite binary sequence is $1$ (random in the sense of flipping a fair coin).

# R: Sum values that are in different parts of vector

I have a number of vectors consisting of 1s and 0s, such as:

[1] x <- c(0, 1, 1, 0, 0, 1)

I would like to count the number of consecutive 1s at different parts of these sequences, and in this instance end up with:

[1] 2 1

I have considered using something like strsplit to split the sequence where there are zeros, though it is a numeric vector so strsplit won't work and ideally I don't want to change back and forth between numeric and character format.Is there another, simpler, solution to this?

# Oldest date from most recent set of records

How do I find the oldest date from the most recent set of records in MySQL?The query, in the inner part, "groups" the consecutive dates, giving a consecutive number for each "group".