September 2017 Update
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bba7bfd280
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14570 changed files with 153136 additions and 63871 deletions
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@ -1,34 +0,0 @@
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### PART 1:
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makeHailstone <- function(n){
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hseq <- n
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while (hseq[length(hseq)] > 1){
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current.value <- hseq[length(hseq)]
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if (current.value %% 2 == 0){
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next.value <- current.value / 2
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} else {
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next.value <- (3 * current.value) + 1
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}
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hseq <- append(hseq, next.value)
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}
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return(list(hseq=hseq, seq.length=length(hseq)))
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}
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### PART 2:
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twenty.seven <- makeHailstone(27)
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twenty.seven$hseq
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twenty.seven$seq.length
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### PART 3:
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max.length <- 0; lower.bound <- 1; upper.bound <- 100000
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for (index in lower.bound:upper.bound){
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current.hseq <- makeHailstone(index)
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if (current.hseq$seq.length > max.length){
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max.length <- current.hseq$seq.length
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max.index <- index
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}
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}
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cat("Between ", lower.bound, " and ", upper.bound, ", the input of ",
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max.index, " gives the longest hailstone sequence, which has length ",
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max.length, ". \n", sep="")
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@ -1,15 +0,0 @@
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> twenty.seven$hseq
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[1] 27 82 41 124 62 31 94 47 142 71 214 107 322 161 484
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[16] 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700
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[31] 350 175 526 263 790 395 1186 593 1780 890 445 1336 668 334 167
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[46] 502 251 754 377 1132 566 283 850 425 1276 638 319 958 479 1438
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[61] 719 2158 1079 3238 1619 4858 2429 7288 3644 1822 911 2734 1367 4102 2051
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[76] 6154 3077 9232 4616 2308 1154 577 1732 866 433 1300 650 325 976 488
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[91] 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20
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[106] 10 5 16 8 4 2 1
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> twenty.seven$seq.length
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[1] 112
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Between 1 and 1e+05, the input of 77031 gives the longest hailstone sequence,
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which has length 351.
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