diff --git a/HISTORY.md b/HISTORY.md
index 34644df..cf902e3 100644
--- a/HISTORY.md
+++ b/HISTORY.md
@@ -7,7 +7,7 @@ History of SixtyPical
 *   Split TODO off into own file.
 *   `sixtypical` no longer writes the compiled binary to standard
     output.  The `--output` command-line argument should be given.
-*   Many tests pass when `sixtypical` is run with Python 3.
+*   All tests pass when `sixtypical` is run under Python 3.5.2.
 
 0.16
 ----
diff --git a/src/sixtypical/fallthru.py b/src/sixtypical/fallthru.py
index 85024bd..995fbcf 100644
--- a/src/sixtypical/fallthru.py
+++ b/src/sixtypical/fallthru.py
@@ -43,7 +43,7 @@ class FallthruAnalyzer(object):
 
         while pending_routines:
             chains = [self.find_chain(k, pending_routines) for k in pending_routines.keys()]
-            chains.sort(key=len, reverse=True)
+            chains.sort(key=lambda x: (len(x), str(x)), reverse=True)
             c = chains[0]
             roster.append(c)
             for k in c:
diff --git a/tests/SixtyPical Fallthru.md b/tests/SixtyPical Fallthru.md
index 2a0981c..75e3779 100644
--- a/tests/SixtyPical Fallthru.md	
+++ b/tests/SixtyPical Fallthru.md	
@@ -174,8 +174,8 @@ fall through to the other.
     =         "main"
     =     ],
     =     [
-    =         "bar",
-    =         "foo"
+    =         "foo",
+    =         "bar"
     =     ]
     = ]
 
@@ -206,10 +206,10 @@ routine.
     =         "main"
     =     ],
     =     [
-    =         "bar"
+    =         "foo"
     =     ],
     =     [
-    =         "foo"
+    =         "bar"
     =     ]
     = ]
 
@@ -271,10 +271,10 @@ because we don't necessarily know what actual routine the vector contains.
     =         "main"
     =     ],
     =     [
-    =         "bar"
+    =         "foo"
     =     ],
     =     [
-    =         "foo"
+    =         "bar"
     =     ]
     = ]
 
@@ -416,12 +416,12 @@ in the "true" branch is a `goto`.
     | {
     | }
     = $080D   RTS
-    = $080E   LDA #$FF
-    = $0810   RTS
-    = $0811   LDA #$00
-    = $0813   BNE $081D
-    = $0815   LDA #$01
-    = $0817   JMP $080E
-    = $081A   JMP $0822
-    = $081D   LDA #$02
-    = $081F   JMP $080D
+    = $080E   LDA #$00
+    = $0810   BNE $081A
+    = $0812   LDA #$01
+    = $0814   JMP $081F
+    = $0817   JMP $081F
+    = $081A   LDA #$02
+    = $081C   JMP $080D
+    = $081F   LDA #$FF
+    = $0821   RTS