September 2017 Update

Task/Maximum-triangle-path-sum/Jq/maximum-triangle-path-sum.jq

@@ -0,0 +1,12 @@
+# Usage: TRIANGLE | solve
+def solve:
+
+  # update(next) updates the input row of maxima:
+  def update(next):
+    . as $maxima
+    | [ range(0; next|length)
+       | next[.] + ([$maxima[.], $maxima[. + 1]] | max) ];
+
+  . as $in
+  | reduce range(length -2; -1; -1) as $i
+      ($in[-1];  update( $in[$i] ) ) ;