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Task/Kaprekar-numbers/Sidef/kaprekar-numbers.sidef

@@ -0,0 +1,19 @@
+require('ntheory')
+var kap = Hash()
+
+15.times { |n|
+    var np = (10**n - 1)
+    %S<ntheory>.fordivisors({ |d|
+        var dp = np//d
+        if (gcd(d, dp) == 1) {
+            kap{ dp == 1 ? d : d.invmod(dp)*d } := 0 ++
+        }
+    }, np)
+}
+
+var nums = kap.keys.map{.to_n}.sort
+
+for n in (6 .. 14) {
+    var np = (10**n - 1)
+    printf("Kaprekar numbers <= 10^%2d:  %5d\n", n, nums.count_by { .<= np })
+}