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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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spiral <- function(n) matrix(order(cumsum(rep(rep_len(c(1, n, -1, -n), 2 * n - 1), n - seq(2 * n - 1) %/% 2))), n, byrow = T) - 1
spiral(5)

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spiral_matrix <- function(n) {
spiralv <- function(v) {
n <- sqrt(length(v))
if (n != floor(n))
stop("length of v should be a square of an integer")
if (n == 0)
stop("v should be of positive length")
if (n == 1)
m <- matrix(v, 1, 1)
else
m <- rbind(v[1:n], cbind(spiralv(v[(2 * n):(n^2)])[(n - 1):1, (n - 1):1], v[(n + 1):(2 * n - 1)]))
m
}
spiralv(1:(n^2))
}

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spiralMatrix <- function(n)
{
spiral <- matrix(0, nrow = n, ncol = n)
firstNumToWrite <- 0
neededLength <- n
startPt <- cbind(1, 0)#(1, 0) is needed for the first call to writeRight to work. We need to start in row 1.
writingDirectionIndex <- 0
#These two functions select a collection of adjacent elements and replaces them with the needed sequence.
#This heavily uses R's vector recycling rules.
writeDown <- function(seq) spiral[startPt[1] + seq, startPt[2]] <<- seq_len(neededLength) - 1 + firstNumToWrite
writeRight <- function(seq) spiral[startPt[1], startPt[2] + seq] <<- seq_len(neededLength) - 1 + firstNumToWrite
while(firstNumToWrite != n^2)
{
writingDirectionIndex <- writingDirectionIndex %% 4 + 1
seq <- seq_len(neededLength)
switch(writingDirectionIndex,
writeRight(seq),
writeDown(seq),
writeRight(-seq),
writeDown(-seq))
if(writingDirectionIndex %% 2) neededLength <- neededLength - 1
max <- max(spiral)
firstNumToWrite <- max + 1
startPt <- which(max == spiral, arr.ind = TRUE)
}
spiral
}