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-rw-r--r--challenge-079/abigail/awk/ch-1.awk33
-rw-r--r--challenge-079/abigail/awk/ch-2.awk60
2 files changed, 93 insertions, 0 deletions
diff --git a/challenge-079/abigail/awk/ch-1.awk b/challenge-079/abigail/awk/ch-1.awk
new file mode 100644
index 0000000000..56abe1a74d
--- /dev/null
+++ b/challenge-079/abigail/awk/ch-1.awk
@@ -0,0 +1,33 @@
+#
+# Challenge:
+#
+# You are given a positive number $N.
+#
+# Write a script to count the total numbrer of set bits of the binary
+# representations of all numbers from 1 to $N and return
+# $total_count_set_bit % 1000000007.
+#
+# https://perlweeklychallenge.org/blog/perl-weekly-challenge-079/
+#
+
+#
+# This is A000778 (https://oeis.org/A000788). There's a recursive formala
+# for the number of bits in the binary representation of 0 .. $N:
+#
+# bits (0) = 0
+# bits (2 * N) = bits (N) + bits (N - 1) + N
+# bits (2 * N + 1) = 2 * bits (N) + N + 1
+#
+
+function f(nn, n) {
+ if (nn == 0) {return (0);}
+ if (nn % 2 == 1) {
+ n = (nn - 1) / 2;
+ return 2 * f(n) + n + 1;
+ }
+ n = nn / 2;
+ return f(n) + f(n - 1) + n;
+}
+
+BEGIN {bignum = 1000000007;}
+ {print f($1) % bignum;}
diff --git a/challenge-079/abigail/awk/ch-2.awk b/challenge-079/abigail/awk/ch-2.awk
new file mode 100644
index 0000000000..164dc88b6f
--- /dev/null
+++ b/challenge-079/abigail/awk/ch-2.awk
@@ -0,0 +1,60 @@
+#
+# Challenge:
+#
+# You are given an array of positive numbers @N.
+# Write a script to represent it as Histogram Chart and find out
+# how much water it can trap.
+#
+
+{
+ #
+ # First, find the maximum value.
+ #
+ max = 0;
+ for (i = 1; i <= NF; i ++) {
+ if ($i > max) {
+ max = $i;
+ }
+ }
+
+ #
+ # Given the value, we know how wide every column must be.
+ #
+ format = "%" length (max) "s";
+ show = sprintf (" " format, "#");
+ noshow = sprintf (" " format, " ");
+
+ #
+ # Print the histogram
+ #
+ for (vol = max; vol; vol --) {
+ printf format, vol;
+ for (i = 1; i <= NF; i ++) {
+ if ($i >= vol) {printf show;}
+ else {printf noshow;}
+ }
+ printf "\n";
+ }
+
+ #
+ # Print the line with the bars.
+ #
+ bar = "";
+ for (i = 0; i < length (max); i ++) {
+ bar = bar "_";
+ }
+ printf bar;
+ for (i = 1; i <= NF; i ++) {
+ printf " " bar;
+ }
+ printf "\n";
+
+ #
+ # Print the line with the totals
+ #
+ printf format, " ";
+ for (i = 1; i <= NF; i ++) {
+ printf " " format, $i;
+ }
+ printf "\n";
+}