From 9628a7a04b98753d1c965caeff5cb7088536a7a4 Mon Sep 17 00:00:00 2001
From: Dimitri Lozeve <dimitri@lozeve.com>
Date: Tue, 12 May 2020 10:14:14 +0200
Subject: [PATCH] Add first steps of solution to problem 9

---
 Contest2020/Contest2020.dyalog | 14 +++++++++++++-
 1 file changed, 13 insertions(+), 1 deletion(-)

diff --git a/Contest2020/Contest2020.dyalog b/Contest2020/Contest2020.dyalog
index 34e08e6..119d6e3 100644
--- a/Contest2020/Contest2020.dyalog
+++ b/Contest2020/Contest2020.dyalog
@@ -153,10 +153,22 @@
                   :EndIf
                 ∇
 
-                ∇ weights←Weights filename
+                ∇ weights←Weights filename;mobile;branches;mat
                   ⍝ 2020 APL Problem Solving Competition Phase II
                   ⍝ Stub function for Problem 9, Task 1 - Weights
                   ⍝ Put your code and comments below here
+
+                  ⍝ Parse the mobile input file.
+                  mobile←↑⊃⎕NGET filename 1
+                  branches←⍸mobile∊'┌┴┐'
+                  ⍝ TODO: Build the matrix of coefficients mat.
+
+                  ⍝ Solve the system of equations (arbitrarily setting
+                  ⍝ the first variable at 1 because the system is
+                  ⍝ overdetermined), then multiply the coefficients by
+                  ⍝ their least common multiple to get the smallest
+                  ⍝ integer weights.
+                  weights←((1∘,)×(∧/÷))mat[;1]⌹1↓[2]mat
                 ∇
 
         :EndNamespace