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# OrderMaxMinDiff2.R - 最小階差が最大となる順列を求める(高速版)
 
library(gtools)
 
inquire <- function(A, d, left, right)
{
  repeat {
    Aold <- A
 
    for (i in which(rowSums(A == 1) < 2 & rowSums(A == 1) + rowSums(A == -1) == 2)) {
      A[i, A[i, ] == -1] <- 1
      A[A[i, ] ==  1, i] <- 1
    }
 
    for (i in which(rowSums(A == 1) == 2)) {
      A[i, A[i, ] == -1] <- 0
      A[A[, i] == -1, i] <- 0
      A[A[i, ] ==  1, i] <- 1
    }
 
    if (all(A == Aold)) break;
  }
 
  nCandidate <- rowSums(A == -1)
 
  if (all(nCandidate == 0)) {
    p <- prev <- this <- 1
    n <- ncol(A)
    while (this != n) {
      A[this, prev] <- 0
      prev <- this
      this <- which(A[this, ] == 1)
      if (length(this) != 1) return(0)
      p <- c(p, this)
    }
    if (length(p) != n) return(0)
    cat("["); cat(p - 1, sep = ", "); cat("]\n")
    return(1)
  }
 
  ends <- c(left, right)
  min.nCand <- min(nCandidate[nCandidate != 0])
 
  isMin <- nCandidate == min.nCand
  hasEnds <- rowSums(A[, ends] == -1) == 2
  if (any(isMin & hasEnds)) isMin <- isMin & hasEnds
 
  iPivot <- which(isMin)[1]
  pivot <- A[iPivot, ]
  candidate <- which(pivot == -1)
 
  if (sum(pivot == 1) == 1) {
    pair <- t(sapply(candidate, range, which(pivot == 1)))
  } else {
    pair <- matrix(candidate[combinations(min.nCand, 2)], , 2)
  }
 
  found <- 0
  for (i in 1:nrow(pair)) {
    if (all(ends == pair[i, ])) next
 
    lnew <- ifelse(pair[i, 1] == left,  pair[i, 2], left)
    rnew <- ifelse(pair[i, 2] == right, pair[i, 1], right)
    Anew <- A
    Anew[iPivot, -pair[i, ]] <- 0
    Anew[iPivot,  pair[i, ]] <- 1
    Anew[-pair[i, ], iPivot] <- 0
    Anew[ pair[i, ], iPivot] <- 1
 
    found <- found + inquire(Anew, d, lnew, rnew)
  }
  return(found)
}
 
OrderMaxMinDiff <- function(n)
{
  d <- ifelse(n >= 4, n %/% 2 - 1, 1)
  a <- 1:n
  A <- matrix(0, n, n)    # -1: 候補, 0: 非選択 1: 選択
  for (i in a) A[i, a[abs(a - i) >= d]] <- -1
  A[1, 1] <- A[n, n] <- 1
 
  found <- inquire(A, d, 1, n)
  cat(sprintf("最小階差が最大値%dになる並べ方は以上の%d通りです。\n\n", d, found))
}
 
OrderMaxMinDiff(10)
OrderMaxMinDiff(17)
OrderMaxMinDiff(256)

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Success #stdin #stdout 1.64s 49996KB

stdin

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Standard input is empty

stdout

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[0, 4, 8, 3, 7, 2, 6, 1, 5, 9]
[0, 5, 1, 6, 2, 7, 3, 8, 4, 9]
最小階差が最大値4になる並べ方は以上の2通りです。

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[0, 7, 14, 4, 12, 5, 13, 6, 15, 8, 1, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 5, 12, 4, 11, 3, 13, 6, 15, 8, 1, 10, 2, 9, 16]
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[0, 7, 14, 5, 12, 4, 11, 1, 8, 15, 6, 13, 3, 10, 2, 9, 16]
[0, 7, 14, 5, 12, 3, 11, 4, 13, 6, 15, 8, 1, 10, 2, 9, 16]
[0, 7, 14, 5, 12, 3, 10, 1, 8, 15, 6, 13, 4, 11, 2, 9, 16]
[0, 7, 14, 5, 12, 1, 8, 15, 6, 13, 4, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 5, 12, 4, 13, 6, 15, 8, 1, 10, 3, 11, 2, 9, 16]
[0, 7, 14, 5, 12, 4, 13, 6, 15, 8, 1, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 5, 13, 6, 15, 8, 1, 10, 3, 12, 4, 11, 2, 9, 16]
[0, 7, 14, 5, 13, 6, 15, 8, 1, 10, 3, 11, 4, 12, 2, 9, 16]
[0, 7, 14, 5, 13, 6, 15, 8, 1, 11, 4, 12, 3, 10, 2, 9, 16]
[0, 7, 14, 5, 13, 6, 15, 8, 1, 12, 4, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 10, 3, 13, 5, 12, 4, 11, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 10, 3, 11, 4, 12, 5, 13, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 11, 4, 12, 5, 13, 3, 10, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 13, 5, 12, 4, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 10, 3, 12, 5, 13, 4, 11, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 10, 3, 11, 4, 13, 5, 12, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 11, 4, 13, 5, 12, 3, 10, 2, 9, 16]
[0, 7, 14, 6, 15, 8, 1, 12, 5, 13, 4, 11, 3, 10, 2, 9, 16]
[0, 7, 14, 6, 13, 5, 12, 4, 11, 2, 9, 1, 10, 3, 15, 8, 16]
[0, 7, 14, 6, 13, 5, 12, 4, 11, 3, 10, 1, 9, 2, 15, 8, 16]
[0, 7, 14, 6, 13, 5, 12, 4, 11, 1, 9, 2, 10, 3, 15, 8, 16]
[0, 7, 14, 6, 13, 5, 12, 4, 11, 3, 10, 2, 9, 1, 15, 8, 16]
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[0, 7, 14, 6, 13, 5, 12, 2, 9, 1, 10, 3, 11, 4, 15, 8, 16]
[0, 7, 14, 6, 13, 5, 12, 3, 10, 2, 9, 1, 11, 4, 15, 8, 16]
[0, 7, 14, 6, 13, 5, 12, 1, 9, 2, 10, 3, 11, 4, 15, 8, 16]
[0, 7, 14, 6, 13, 3, 10, 1, 9, 2, 11, 4, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 2, 9, 1, 10, 3, 11, 4, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 3, 10, 2, 9, 1, 11, 4, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 1, 9, 2, 10, 3, 11, 4, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 4, 11, 2, 9, 1, 10, 3, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 4, 11, 3, 10, 1, 9, 2, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 4, 11, 1, 9, 2, 10, 3, 12, 5, 15, 8, 16]
[0, 7, 14, 6, 13, 4, 11, 3, 10, 2, 9, 1, 12, 5, 15, 8, 16]
[0, 7, 14, 3, 10, 1, 9, 2, 11, 4, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 2, 9, 1, 10, 3, 11, 4, 12, 5, 13, 6, 15, 8, 16]
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[0, 7, 14, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 4, 11, 2, 9, 1, 10, 3, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 4, 11, 3, 10, 1, 9, 2, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 4, 11, 1, 9, 2, 10, 3, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 4, 11, 3, 10, 2, 9, 1, 12, 5, 13, 6, 15, 8, 16]
[0, 7, 14, 5, 12, 4, 11, 2, 9, 1, 10, 3, 13, 6, 15, 8, 16]
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[0, 7, 14, 5, 12, 3, 10, 1, 9, 2, 11, 4, 13, 6, 15, 8, 16]
[0, 7, 14, 5, 12, 2, 9, 1, 10, 3, 11, 4, 13, 6, 15, 8, 16]
[0, 7, 14, 5, 12, 3, 10, 2, 9, 1, 11, 4, 13, 6, 15, 8, 16]
[0, 7, 14, 5, 12, 1, 9, 2, 10, 3, 11, 4, 13, 6, 15, 8, 16]
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[0, 8, 1, 10, 3, 13, 6, 14, 7, 15, 5, 12, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 15, 7, 14, 6, 13, 5, 12, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 12, 5, 14, 7, 15, 6, 13, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 12, 5, 13, 6, 15, 7, 14, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 13, 6, 15, 7, 14, 5, 12, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 14, 7, 15, 6, 13, 5, 12, 4, 11, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 13, 6, 15, 7, 14, 5, 12, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 13, 6, 14, 7, 15, 5, 12, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 14, 7, 15, 6, 13, 5, 12, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 15, 7, 14, 6, 13, 5, 12, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 12, 5, 14, 7, 15, 6, 13, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 12, 5, 15, 7, 14, 6, 13, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 12, 5, 13, 6, 15, 7, 14, 2, 9, 16]
[0, 8, 1, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 15, 2, 9, 16]
[0, 8, 1, 11, 4, 15, 7, 14, 6, 13, 5, 12, 3, 10, 2, 9, 16]
[0, 8, 1, 11, 4, 12, 5, 13, 6, 14, 7, 15, 3, 10, 2, 9, 16]
[0, 8, 1, 12, 5, 13, 6, 14, 7, 15, 4, 11, 3, 10, 2, 9, 16]
[0, 8, 1, 15, 7, 14, 6, 13, 5, 12, 4, 11, 3, 10, 2, 9, 16]
[0, 8, 1, 11, 4, 13, 6, 14, 7, 15, 5, 12, 3, 10, 2, 9, 16]
[0, 8, 1, 11, 4, 12, 5, 15, 7, 14, 6, 13, 3, 10, 2, 9, 16]
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[0, 15, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 15, 8, 1, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 2, 9, 1, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 3, 10, 1, 9, 2, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 3, 10, 2, 9, 1, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 3, 10, 2, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 15, 8, 1, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 10, 3, 15, 8, 1, 9, 2, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 3, 11, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 4, 11, 2, 9, 1, 10, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 4, 11, 3, 10, 1, 9, 2, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 4, 11, 1, 9, 2, 10, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 4, 11, 3, 10, 2, 9, 1, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 4, 11, 3, 10, 2, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 15, 8, 1, 12, 5, 13, 6, 14, 7, 16]
[0, 10, 3, 11, 4, 15, 8, 1, 9, 2, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 4, 11, 2, 10, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 15, 8, 1, 10, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 11, 4, 15, 8, 1, 9, 2, 10, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 4, 11, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 4, 11, 3, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 11, 3, 10, 1, 8, 15, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 1, 8, 15, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 10, 3, 11, 2, 9, 1, 8, 15, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 11, 3, 10, 2, 9, 1, 8, 15, 4, 12, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 4, 11, 2, 9, 1, 10, 3, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 4, 11, 3, 10, 1, 9, 2, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 4, 11, 1, 9, 2, 10, 3, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 4, 11, 3, 10, 2, 9, 1, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 3, 10, 1, 9, 2, 11, 4, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 2, 9, 1, 10, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 3, 10, 2, 9, 1, 11, 4, 13, 6, 14, 7, 16]
[0, 8, 15, 5, 12, 1, 9, 2, 10, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 5, 12, 4, 11, 3, 10, 2, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 5, 15, 8, 1, 13, 6, 14, 7, 16]
[0, 10, 3, 11, 4, 12, 5, 15, 8, 1, 9, 2, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 5, 12, 4, 11, 2, 10, 3, 13, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 12, 5, 15, 8, 1, 10, 3, 13, 6, 14, 7, 16]
[0, 11, 4, 12, 5, 15, 8, 1, 9, 2, 10, 3, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 5, 12, 4, 11, 3, 13, 6, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 5, 12, 4, 11, 3, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 5, 12, 2, 10, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 12, 5, 15, 8, 1, 10, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 12, 5, 15, 8, 1, 9, 2, 10, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 1, 8, 15, 5, 12, 3, 10, 2, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 12, 5, 15, 8, 1, 11, 4, 13, 6, 14, 7, 16]
[0, 10, 3, 12, 5, 15, 8, 1, 9, 2, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 5, 12, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 5, 12, 3, 11, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 11, 3, 10, 1, 8, 15, 5, 12, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 1, 8, 15, 5, 12, 4, 13, 6, 14, 7, 16]
[0, 10, 3, 11, 2, 9, 1, 8, 15, 5, 12, 4, 13, 6, 14, 7, 16]
[0, 11, 3, 10, 2, 9, 1, 8, 15, 5, 12, 4, 13, 6, 14, 7, 16]
[0, 9, 2, 12, 4, 11, 3, 10, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 10, 3, 11, 4, 12, 2, 9, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 12, 4, 11, 3, 10, 2, 9, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 12, 3, 10, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 12, 4, 11, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 10, 3, 12, 4, 11, 2, 9, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 11, 4, 12, 3, 10, 2, 9, 1, 8, 15, 5, 13, 6, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 4, 11, 2, 9, 1, 10, 3, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 4, 11, 3, 10, 1, 9, 2, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 4, 11, 1, 9, 2, 10, 3, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 4, 11, 3, 10, 2, 9, 1, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 3, 10, 1, 9, 2, 11, 4, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 2, 9, 1, 10, 3, 11, 4, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 3, 10, 2, 9, 1, 11, 4, 14, 7, 16]
[0, 8, 15, 6, 13, 5, 12, 1, 9, 2, 10, 3, 11, 4, 14, 7, 16]
[0, 8, 15, 6, 13, 3, 10, 1, 9, 2, 11, 4, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 2, 9, 1, 10, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 3, 10, 2, 9, 1, 11, 4, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 1, 9, 2, 10, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 4, 11, 2, 9, 1, 10, 3, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 4, 11, 3, 10, 1, 9, 2, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 4, 11, 1, 9, 2, 10, 3, 12, 5, 14, 7, 16]
[0, 8, 15, 6, 13, 4, 11, 3, 10, 2, 9, 1, 12, 5, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 5, 12, 4, 11, 3, 10, 2, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 15, 8, 1, 14, 7, 16]
[0, 10, 3, 11, 4, 12, 5, 13, 6, 15, 8, 1, 9, 2, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 5, 12, 4, 11, 2, 10, 3, 14, 7, 16]
[0, 9, 2, 11, 4, 12, 5, 13, 6, 15, 8, 1, 10, 3, 14, 7, 16]
[0, 11, 4, 12, 5, 13, 6, 15, 8, 1, 9, 2, 10, 3, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 6, 13, 5, 12, 4, 11, 3, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 6, 13, 5, 12, 4, 11, 3, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 5, 12, 2, 10, 3, 11, 4, 14, 7, 16]
[0, 9, 2, 12, 5, 13, 6, 15, 8, 1, 10, 3, 11, 4, 14, 7, 16]
[0, 12, 5, 13, 6, 15, 8, 1, 9, 2, 10, 3, 11, 4, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 5, 12, 3, 10, 2, 11, 4, 14, 7, 16]
[0, 9, 2, 10, 3, 12, 5, 13, 6, 15, 8, 1, 11, 4, 14, 7, 16]
[0, 10, 3, 12, 5, 13, 6, 15, 8, 1, 9, 2, 11, 4, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 6, 13, 5, 12, 3, 11, 4, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 6, 13, 5, 12, 3, 11, 4, 14, 7, 16]
[0, 9, 2, 11, 3, 10, 1, 8, 15, 6, 13, 5, 12, 4, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 1, 8, 15, 6, 13, 5, 12, 4, 14, 7, 16]
[0, 10, 3, 11, 2, 9, 1, 8, 15, 6, 13, 5, 12, 4, 14, 7, 16]
[0, 11, 3, 10, 2, 9, 1, 8, 15, 6, 13, 5, 12, 4, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 2, 10, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 9, 2, 13, 6, 15, 8, 1, 10, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 13, 6, 15, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 3, 10, 2, 11, 4, 12, 5, 14, 7, 16]
[0, 9, 2, 10, 3, 13, 6, 15, 8, 1, 11, 4, 12, 5, 14, 7, 16]
[0, 10, 3, 13, 6, 15, 8, 1, 9, 2, 11, 4, 12, 5, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 6, 13, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 6, 13, 3, 11, 4, 12, 5, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 4, 11, 3, 10, 2, 12, 5, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 13, 6, 15, 8, 1, 12, 5, 14, 7, 16]
[0, 10, 3, 11, 4, 13, 6, 15, 8, 1, 9, 2, 12, 5, 14, 7, 16]
[0, 9, 1, 8, 15, 6, 13, 4, 11, 2, 10, 3, 12, 5, 14, 7, 16]
[0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12, 5, 14, 7, 16]
[0, 11, 4, 13, 6, 15, 8, 1, 9, 2, 10, 3, 12, 5, 14, 7, 16]
[0, 9, 2, 10, 1, 8, 15, 6, 13, 4, 11, 3, 12, 5, 14, 7, 16]
[0, 10, 2, 9, 1, 8, 15, 6, 13, 4, 11, 3, 12, 5, 14, 7, 16]
[0, 9, 2, 11, 3, 10, 1, 8, 15, 6, 13, 4, 12, 5, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 1, 8, 15, 6, 13, 4, 12, 5, 14, 7, 16]
[0, 10, 3, 11, 2, 9, 1, 8, 15, 6, 13, 4, 12, 5, 14, 7, 16]
[0, 11, 3, 10, 2, 9, 1, 8, 15, 6, 13, 4, 12, 5, 14, 7, 16]
[0, 9, 2, 12, 4, 11, 3, 10, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 10, 3, 11, 4, 12, 2, 9, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 12, 4, 11, 3, 10, 2, 9, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 9, 2, 11, 4, 12, 3, 10, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 9, 2, 10, 3, 12, 4, 11, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 10, 3, 12, 4, 11, 2, 9, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 11, 4, 12, 3, 10, 2, 9, 1, 8, 15, 6, 13, 5, 14, 7, 16]
[0, 9, 2, 13, 5, 12, 4, 11, 3, 10, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 5, 13, 1, 8, 15, 6, 14, 7, 16]
[0, 10, 3, 11, 4, 12, 5, 13, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 13, 5, 12, 4, 11, 3, 10, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 12, 5, 13, 3, 10, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 13, 5, 12, 4, 11, 1, 8, 15, 6, 14, 7, 16]
[0, 10, 3, 13, 5, 12, 4, 11, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 11, 4, 12, 5, 13, 3, 10, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 12, 5, 13, 4, 11, 3, 10, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 13, 5, 12, 1, 8, 15, 6, 14, 7, 16]
[0, 10, 3, 11, 4, 13, 5, 12, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 12, 5, 13, 4, 11, 3, 10, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 13, 5, 12, 3, 10, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 10, 3, 12, 5, 13, 4, 11, 1, 8, 15, 6, 14, 7, 16]
[0, 10, 3, 12, 5, 13, 4, 11, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 11, 4, 13, 5, 12, 3, 10, 2, 9, 1, 8, 15, 6, 14, 7, 16]
[0, 9, 2, 11, 4, 14, 6, 13, 5, 12, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 11, 4, 12, 5, 13, 6, 14, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 12, 5, 13, 6, 14, 4, 11, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 14, 6, 13, 5, 12, 4, 11, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 11, 4, 13, 6, 14, 5, 12, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 11, 4, 12, 5, 14, 6, 13, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 12, 5, 14, 6, 13, 4, 11, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 13, 6, 14, 5, 12, 4, 11, 3, 10, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 12, 5, 14, 6, 13, 4, 11, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 12, 5, 13, 6, 14, 4, 11, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 13, 6, 14, 5, 12, 4, 11, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 14, 6, 13, 5, 12, 4, 11, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 13, 6, 14, 5, 12, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 14, 6, 13, 5, 12, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 5, 14, 6, 13, 1, 8, 15, 7, 16]
[0, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 1, 8, 15, 7, 16]
[0, 10, 3, 14, 6, 13, 5, 12, 4, 11, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 11, 4, 12, 5, 13, 6, 14, 2, 9, 1, 8, 15, 7, 16]
[0, 11, 4, 12, 5, 13, 6, 14, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 14, 6, 13, 5, 12, 4, 11, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 12, 5, 13, 6, 14, 4, 11, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 11, 4, 14, 6, 13, 5, 12, 2, 9, 1, 8, 15, 7, 16]
[0, 11, 4, 14, 6, 13, 5, 12, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 12, 5, 13, 6, 14, 4, 11, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 13, 6, 14, 5, 12, 4, 11, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 11, 4, 12, 5, 14, 6, 13, 2, 9, 1, 8, 15, 7, 16]
[0, 11, 4, 12, 5, 14, 6, 13, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 13, 6, 14, 5, 12, 4, 11, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 12, 5, 14, 6, 13, 4, 11, 2, 9, 1, 8, 15, 7, 16]
[0, 10, 3, 11, 4, 13, 6, 14, 5, 12, 2, 9, 1, 8, 15, 7, 16]
[0, 11, 4, 13, 6, 14, 5, 12, 3, 10, 2, 9, 1, 8, 15, 7, 16]
[0, 12, 5, 14, 6, 13, 4, 11, 3, 10, 2, 9, 1, 8, 15, 7, 16]
最小階差が最大値7になる並べ方は以上の528通りです。

[0, 127, 254, 126, 253, 125, 252, 124, 251, 123, 250, 122, 249, 121, 248, 120, 247, 119, 246, 118, 245, 117, 244, 116, 243, 115, 242, 114, 241, 113, 240, 112, 239, 111, 238, 110, 237, 109, 236, 108, 235, 107, 234, 106, 233, 105, 232, 104, 231, 103, 230, 102, 229, 101, 228, 100, 227, 99, 226, 98, 225, 97, 224, 96, 223, 95, 222, 94, 221, 93, 220, 92, 219, 91, 218, 90, 217, 89, 216, 88, 215, 87, 214, 86, 213, 85, 212, 84, 211, 83, 210, 82, 209, 81, 208, 80, 207, 79, 206, 78, 205, 77, 204, 76, 203, 75, 202, 74, 201, 73, 200, 72, 199, 71, 198, 70, 197, 69, 196, 68, 195, 67, 194, 66, 193, 65, 192, 64, 191, 63, 190, 62, 189, 61, 188, 60, 187, 59, 186, 58, 185, 57, 184, 56, 183, 55, 182, 54, 181, 53, 180, 52, 179, 51, 178, 50, 177, 49, 176, 48, 175, 47, 174, 46, 173, 45, 172, 44, 171, 43, 170, 42, 169, 41, 168, 40, 167, 39, 166, 38, 165, 37, 164, 36, 163, 35, 162, 34, 161, 33, 160, 32, 159, 31, 158, 30, 157, 29, 156, 28, 155, 27, 154, 26, 153, 25, 152, 24, 151, 23, 150, 22, 149, 21, 148, 20, 147, 19, 146, 18, 145, 17, 144, 16, 143, 15, 142, 14, 141, 13, 140, 12, 139, 11, 138, 10, 137, 9, 136, 8, 135, 7, 134, 6, 133, 5, 132, 4, 131, 3, 130, 2, 129, 1, 128, 255]
[0, 128, 1, 129, 2, 130, 3, 131, 4, 132, 5, 133, 6, 134, 7, 135, 8, 136, 9, 137, 10, 138, 11, 139, 12, 140, 13, 141, 14, 142, 15, 143, 16, 144, 17, 145, 18, 146, 19, 147, 20, 148, 21, 149, 22, 150, 23, 151, 24, 152, 25, 153, 26, 154, 27, 155, 28, 156, 29, 157, 30, 158, 31, 159, 32, 160, 33, 161, 34, 162, 35, 163, 36, 164, 37, 165, 38, 166, 39, 167, 40, 168, 41, 169, 42, 170, 43, 171, 44, 172, 45, 173, 46, 174, 47, 175, 48, 176, 49, 177, 50, 178, 51, 179, 52, 180, 53, 181, 54, 182, 55, 183, 56, 184, 57, 185, 58, 186, 59, 187, 60, 188, 61, 189, 62, 190, 63, 191, 64, 192, 65, 193, 66, 194, 67, 195, 68, 196, 69, 197, 70, 198, 71, 199, 72, 200, 73, 201, 74, 202, 75, 203, 76, 204, 77, 205, 78, 206, 79, 207, 80, 208, 81, 209, 82, 210, 83, 211, 84, 212, 85, 213, 86, 214, 87, 215, 88, 216, 89, 217, 90, 218, 91, 219, 92, 220, 93, 221, 94, 222, 95, 223, 96, 224, 97, 225, 98, 226, 99, 227, 100, 228, 101, 229, 102, 230, 103, 231, 104, 232, 105, 233, 106, 234, 107, 235, 108, 236, 109, 237, 110, 238, 111, 239, 112, 240, 113, 241, 114, 242, 115, 243, 116, 244, 117, 245, 118, 246, 119, 247, 120, 248, 121, 249, 122, 250, 123, 251, 124, 252, 125, 253, 126, 254, 127, 255]
最小階差が最大値127になる並べ方は以上の2通りです。

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R (R 3.5.2)

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