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Task/Hailstone-sequence/Phix/hailstone-sequence.phix

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+function hailstone(atom n)
+sequence s = {n}
+    while n!=1 do
+        if remainder(n,2)=0 then
+            n /= 2
+        else
+            n = 3*n+1
+        end if
+        s &= n
+    end while
+    return s
+end function
+
+function hailstone_count(atom n)
+integer count = 1
+    while n!=1 do
+        if remainder(n,2)=0 then
+            n /= 2
+        else
+            n = 3*n+1
+        end if
+        count += 1
+    end while
+    return count
+end function
+
+sequence s = hailstone(27)
+integer ls = length(s)
+s[5..-5] = {".."}
+puts(1,"hailstone(27) = ")
+? s
+printf(1,"length = %d\n\n",ls)
+
+integer hmax = 1, imax = 1,count
+for i=2 to 1e5-1 do
+    count = hailstone_count(i)
+    if count>hmax then
+        hmax = count
+        imax = i
+    end if
+end for
+
+printf(1,"The longest hailstone sequence under 100,000 is %d with %d elements.\n",{imax,hmax})