Add tasks for all the new languages
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(define (FFR n)
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(+ (FFR (1- n)) (FFS (1- n))))
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(define (FFS n)
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(define next (1+ (FFS (1- n))))
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(for ((k (in-naturals next)))
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#:break (not (vector-search* k (cache 'FFR))) => k
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))
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(remember 'FFR #(0 1)) ;; init cache
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(remember 'FFS #(0 2))
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(define-macro m-range [a .. b] (range a (1+ b)))
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(map FFR [1 .. 10])
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→ (1 3 7 12 18 26 35 45 56 69)
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;; checking
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(equal? [1 .. 1000] (list-sort < (append (map FFR [1 .. 40]) (map FFS [1 .. 960]))))
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→ #t
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var cr = @[1]
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var cs = @[2]
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proc extendRS =
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let x = cr[cr.high] + cs[cr.high]
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cr.add x
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for y in cs[cs.high] + 1 .. <x: cs.add y
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cs.add x + 1
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proc ffr(n): int =
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assert n > 0
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while n > cr.len: extendRS()
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cr[n - 1]
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proc ffs(n): int =
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assert n > 0
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while n > cs.len: extendRS()
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cs[n - 1]
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for i in 1..10: stdout.write ffr i," "
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echo ""
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var bin: array[1..1000, int]
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for i in 1..40: inc bin[ffr i]
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for i in 1..960: inc bin[ffs i]
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var all = true
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for x in bin:
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if x != 1:
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all = false
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break
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if all: echo "All Integers 1..1000 found OK"
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else: echo "All Integers 1..1000 NOT found only once: ERROR"
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@ -0,0 +1,21 @@
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tvar: R
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ListBuffer new 1 over add R put
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tvar: S
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ListBuffer new 2 over add S put
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: buildnext
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| r s current i |
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R at ->r
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S at ->s
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r last r size s at + dup ->current r add
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s last 1+ current 1- for: i [ i s add ]
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current 1+ s add ;
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: ffr(n)
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while ( R at size n < ) [ buildnext ]
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n R at at ;
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: ffs(n)
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while ( S at size n < ) [ buildnext ]
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n S at at ;
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@ -0,0 +1,35 @@
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var r = [nil, 1]
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var s = [nil, 2]
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func ffsr(n) {
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while(r.end < n) {
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r << s[r.end]+r[-1];
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s << [(s[-1]+1 .. r[-1]-1)..., r[-1]+1].grep{ s[-1] < _ }...
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}
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return n;
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}
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func ffr(n) { r[ffsr(n)] }
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func ffs(n) { s[ffsr(n)] }
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printf(" i: R(i) S(i)\n");
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printf("==============\n");
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10.of { |i|
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printf("%3d: %3d %3d\n", i, ffr(i), ffs(i))
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}
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printf("\nR(40)=%3d S(960)=%3d R(41)=%3d\n", ffr(40), ffs(960), ffr(41));
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var seen = Hash()
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40.of { |i| seen{ffr(i)} := 0 ++ }
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960.of { |i| seen{ffs(i)} := 0 ++ }
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if (seen.count {|k,v| (k.to_i >= 1) && (k.to_i <= 1000) && (v == 1) } == 1000) {
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say "All occured exactly once.";
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}
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else {
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var missed = (1..1000 -> grep { !seen.has_key(_) })
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var dupped = seen.grep { |_, v| v > 1 }.keys.sort;
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say "These were missed: #{missed}";
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say "These were duplicated: #{dupped}";
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}
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