Day 16

1 files changed, 4024 insertions, 0 deletions

diff --git a/2018/input/16.txt b/2018/input/16.txt
new file mode 100644
index 0000000..0f7f4d1
--- /dev/null
+++ b/2018/input/16.txt
@@ -0,0 +1,4024 @@
+Before: [3, 0, 1, 3]
+15 2 1 3
+After:  [3, 0, 1, 1]
+
+Before: [1, 3, 2, 0]
+11 2 2 0
+After:  [4, 3, 2, 0]
+
+Before: [0, 3, 3, 1]
+14 3 2 0
+After:  [3, 3, 3, 1]
+
+Before: [2, 3, 1, 3]
+9 2 1 1
+After:  [2, 1, 1, 3]
+
+Before: [1, 2, 3, 0]
+0 2 1 2
+After:  [1, 2, 2, 0]
+
+Before: [3, 2, 1, 3]
+8 2 3 2
+After:  [3, 2, 3, 3]
+
+Before: [1, 0, 1, 3]
+15 2 1 2
+After:  [1, 0, 1, 3]
+
+Before: [0, 0, 1, 1]
+15 3 1 1
+After:  [0, 1, 1, 1]
+
+Before: [1, 3, 2, 3]
+9 0 1 0
+After:  [1, 3, 2, 3]
+
+Before: [1, 0, 0, 1]
+15 3 1 1
+After:  [1, 1, 0, 1]
+
+Before: [0, 2, 2, 0]
+4 0 1 3
+After:  [0, 2, 2, 1]
+
+Before: [0, 0, 3, 1]
+5 0 2 0
+After:  [0, 0, 3, 1]
+
+Before: [0, 1, 0, 2]
+14 3 1 0
+After:  [3, 1, 0, 2]
+
+Before: [0, 2, 2, 0]
+5 0 2 3
+After:  [0, 2, 2, 0]
+
+Before: [1, 1, 2, 3]
+10 3 2 0
+After:  [2, 1, 2, 3]
+
+Before: [1, 2, 3, 2]
+13 0 1 1
+After:  [1, 2, 3, 2]
+
+Before: [0, 3, 2, 0]
+1 1 2 1
+After:  [0, 6, 2, 0]
+
+Before: [1, 2, 2, 3]
+1 0 2 1
+After:  [1, 2, 2, 3]
+
+Before: [3, 1, 2, 2]
+13 0 3 2
+After:  [3, 1, 6, 2]
+
+Before: [3, 3, 2, 1]
+14 3 2 3
+After:  [3, 3, 2, 3]
+
+Before: [0, 3, 1, 0]
+5 0 1 0
+After:  [0, 3, 1, 0]
+
+Before: [1, 0, 2, 3]
+12 0 1 0
+After:  [1, 0, 2, 3]
+
+Before: [3, 0, 2, 2]
+3 2 2 0
+After:  [2, 0, 2, 2]
+
+Before: [0, 1, 1, 3]
+6 0 0 1
+After:  [0, 0, 1, 3]
+
+Before: [0, 0, 2, 2]
+6 0 0 2
+After:  [0, 0, 0, 2]
+
+Before: [2, 3, 1, 3]
+9 2 1 0
+After:  [1, 3, 1, 3]
+
+Before: [3, 0, 1, 1]
+15 2 1 1
+After:  [3, 1, 1, 1]
+
+Before: [1, 2, 1, 2]
+8 0 3 1
+After:  [1, 3, 1, 2]
+
+Before: [3, 2, 3, 2]
+13 0 3 2
+After:  [3, 2, 6, 2]
+
+Before: [0, 0, 0, 2]
+6 0 0 1
+After:  [0, 0, 0, 2]
+
+Before: [1, 2, 3, 3]
+1 1 2 3
+After:  [1, 2, 3, 4]
+
+Before: [3, 1, 2, 2]
+10 0 2 3
+After:  [3, 1, 2, 2]
+
+Before: [0, 2, 3, 3]
+5 0 2 3
+After:  [0, 2, 3, 0]
+
+Before: [1, 0, 3, 0]
+10 2 2 2
+After:  [1, 0, 2, 0]
+
+Before: [1, 0, 3, 3]
+12 0 1 1
+After:  [1, 1, 3, 3]
+
+Before: [0, 1, 3, 2]
+6 0 0 1
+After:  [0, 0, 3, 2]
+
+Before: [2, 1, 2, 2]
+2 2 3 0
+After:  [3, 1, 2, 2]
+
+Before: [1, 2, 1, 0]
+4 1 1 0
+After:  [3, 2, 1, 0]
+
+Before: [3, 1, 0, 3]
+7 2 1 0
+After:  [1, 1, 0, 3]
+
+Before: [0, 2, 0, 2]
+6 0 0 3
+After:  [0, 2, 0, 0]
+
+Before: [0, 0, 1, 3]
+5 0 3 1
+After:  [0, 0, 1, 3]
+
+Before: [1, 3, 2, 0]
+10 1 2 2
+After:  [1, 3, 2, 0]
+
+Before: [1, 0, 3, 3]
+3 3 1 2
+After:  [1, 0, 3, 3]
+
+Before: [0, 1, 1, 3]
+6 0 0 2
+After:  [0, 1, 0, 3]
+
+Before: [2, 0, 3, 1]
+0 2 0 2
+After:  [2, 0, 2, 1]
+
+Before: [1, 1, 0, 2]
+7 2 1 0
+After:  [1, 1, 0, 2]
+
+Before: [2, 1, 3, 3]
+0 2 0 1
+After:  [2, 2, 3, 3]
+
+Before: [0, 2, 2, 1]
+6 0 0 0
+After:  [0, 2, 2, 1]
+
+Before: [1, 0, 1, 0]
+15 2 1 1
+After:  [1, 1, 1, 0]
+
+Before: [2, 3, 0, 0]
+4 2 3 0
+After:  [3, 3, 0, 0]
+
+Before: [3, 1, 1, 2]
+13 0 3 3
+After:  [3, 1, 1, 6]
+
+Before: [2, 3, 2, 1]
+11 0 2 1
+After:  [2, 4, 2, 1]
+
+Before: [0, 0, 2, 1]
+4 0 3 1
+After:  [0, 3, 2, 1]
+
+Before: [2, 3, 1, 2]
+13 1 3 3
+After:  [2, 3, 1, 6]
+
+Before: [1, 3, 3, 2]
+9 0 1 1
+After:  [1, 1, 3, 2]
+
+Before: [2, 0, 3, 2]
+13 2 3 0
+After:  [6, 0, 3, 2]
+
+Before: [0, 0, 2, 0]
+3 2 2 2
+After:  [0, 0, 2, 0]
+
+Before: [2, 2, 3, 3]
+0 2 1 3
+After:  [2, 2, 3, 2]
+
+Before: [1, 0, 3, 2]
+8 0 3 0
+After:  [3, 0, 3, 2]
+
+Before: [0, 2, 3, 2]
+6 0 0 1
+After:  [0, 0, 3, 2]
+
+Before: [0, 0, 2, 0]
+6 0 0 0
+After:  [0, 0, 2, 0]
+
+Before: [0, 2, 3, 1]
+0 2 1 3
+After:  [0, 2, 3, 2]
+
+Before: [1, 2, 1, 2]
+4 1 1 0
+After:  [3, 2, 1, 2]
+
+Before: [2, 1, 1, 2]
+2 0 3 0
+After:  [3, 1, 1, 2]
+
+Before: [0, 2, 1, 3]
+6 0 0 2
+After:  [0, 2, 0, 3]
+
+Before: [1, 0, 0, 1]
+15 3 1 2
+After:  [1, 0, 1, 1]
+
+Before: [2, 3, 3, 0]
+10 2 2 1
+After:  [2, 2, 3, 0]
+
+Before: [0, 1, 3, 1]
+10 2 2 3
+After:  [0, 1, 3, 2]
+
+Before: [0, 0, 0, 2]
+6 0 0 2
+After:  [0, 0, 0, 2]
+
+Before: [1, 2, 2, 1]
+8 0 2 2
+After:  [1, 2, 3, 1]
+
+Before: [2, 3, 3, 3]
+0 2 0 0
+After:  [2, 3, 3, 3]
+
+Before: [0, 3, 1, 2]
+9 2 1 2
+After:  [0, 3, 1, 2]
+
+Before: [0, 1, 2, 3]
+5 0 2 1
+After:  [0, 0, 2, 3]
+
+Before: [0, 3, 0, 3]
+6 0 0 0
+After:  [0, 3, 0, 3]
+
+Before: [0, 2, 2, 1]
+13 3 1 2
+After:  [0, 2, 2, 1]
+
+Before: [1, 3, 1, 3]
+3 3 1 0
+After:  [3, 3, 1, 3]
+
+Before: [3, 3, 2, 3]
+10 1 2 2
+After:  [3, 3, 2, 3]
+
+Before: [2, 2, 0, 3]
+4 1 1 0
+After:  [3, 2, 0, 3]
+
+Before: [1, 1, 2, 3]
+10 3 2 2
+After:  [1, 1, 2, 3]
+
+Before: [0, 2, 2, 1]
+11 2 2 3
+After:  [0, 2, 2, 4]
+
+Before: [0, 1, 0, 2]
+4 0 2 1
+After:  [0, 2, 0, 2]
+
+Before: [3, 1, 3, 0]
+10 2 2 1
+After:  [3, 2, 3, 0]
+
+Before: [3, 3, 1, 1]
+9 2 1 3
+After:  [3, 3, 1, 1]
+
+Before: [1, 3, 0, 3]
+3 3 3 3
+After:  [1, 3, 0, 3]
+
+Before: [3, 0, 2, 1]
+8 1 2 2
+After:  [3, 0, 2, 1]
+
+Before: [1, 0, 1, 3]
+3 3 1 2
+After:  [1, 0, 3, 3]
+
+Before: [3, 2, 3, 2]
+1 1 2 1
+After:  [3, 4, 3, 2]
+
+Before: [1, 0, 0, 1]
+12 0 1 3
+After:  [1, 0, 0, 1]
+
+Before: [3, 0, 2, 3]
+1 3 3 2
+After:  [3, 0, 9, 3]
+
+Before: [3, 2, 3, 2]
+13 2 3 3
+After:  [3, 2, 3, 6]
+
+Before: [0, 0, 3, 3]
+1 3 3 1
+After:  [0, 9, 3, 3]
+
+Before: [0, 2, 1, 3]
+1 1 3 3
+After:  [0, 2, 1, 6]
+
+Before: [3, 1, 2, 3]
+10 3 2 3
+After:  [3, 1, 2, 2]
+
+Before: [1, 3, 2, 0]
+9 0 1 1
+After:  [1, 1, 2, 0]
+
+Before: [1, 0, 3, 1]
+12 0 1 3
+After:  [1, 0, 3, 1]
+
+Before: [0, 2, 2, 3]
+11 1 2 1
+After:  [0, 4, 2, 3]
+
+Before: [2, 0, 3, 0]
+10 2 2 1
+After:  [2, 2, 3, 0]
+
+Before: [2, 1, 1, 2]
+8 1 3 3
+After:  [2, 1, 1, 3]
+
+Before: [0, 0, 0, 0]
+6 0 0 3
+After:  [0, 0, 0, 0]
+
+Before: [0, 0, 1, 0]
+6 0 0 3
+After:  [0, 0, 1, 0]
+
+Before: [0, 1, 1, 0]
+4 2 2 0
+After:  [3, 1, 1, 0]
+
+Before: [1, 0, 2, 1]
+12 0 1 0
+After:  [1, 0, 2, 1]
+
+Before: [2, 3, 1, 3]
+3 3 1 1
+After:  [2, 3, 1, 3]
+
+Before: [1, 0, 0, 3]
+3 3 1 0
+After:  [3, 0, 0, 3]
+
+Before: [0, 3, 3, 3]
+4 0 1 0
+After:  [1, 3, 3, 3]
+
+Before: [1, 3, 2, 0]
+3 2 2 3
+After:  [1, 3, 2, 2]
+
+Before: [3, 1, 0, 2]
+14 3 1 0
+After:  [3, 1, 0, 2]
+
+Before: [0, 2, 3, 3]
+0 2 1 1
+After:  [0, 2, 3, 3]
+
+Before: [3, 2, 3, 2]
+10 2 2 3
+After:  [3, 2, 3, 2]
+
+Before: [1, 1, 2, 1]
+8 2 1 3
+After:  [1, 1, 2, 3]
+
+Before: [0, 3, 2, 3]
+10 3 2 2
+After:  [0, 3, 2, 3]
+
+Before: [0, 3, 1, 0]
+6 0 0 2
+After:  [0, 3, 0, 0]
+
+Before: [3, 0, 1, 1]
+15 3 1 0
+After:  [1, 0, 1, 1]
+
+Before: [1, 2, 3, 3]
+0 2 1 1
+After:  [1, 2, 3, 3]
+
+Before: [0, 0, 3, 1]
+10 2 2 0
+After:  [2, 0, 3, 1]
+
+Before: [0, 1, 3, 1]
+6 0 0 1
+After:  [0, 0, 3, 1]
+
+Before: [0, 2, 0, 1]
+6 0 0 1
+After:  [0, 0, 0, 1]
+
+Before: [1, 0, 2, 1]
+15 3 1 2
+After:  [1, 0, 1, 1]
+
+Before: [1, 2, 0, 3]
+13 0 1 2
+After:  [1, 2, 2, 3]
+
+Before: [1, 0, 2, 0]
+12 0 1 2
+After:  [1, 0, 1, 0]
+
+Before: [3, 3, 0, 2]
+13 0 3 0
+After:  [6, 3, 0, 2]
+
+Before: [1, 2, 2, 1]
+11 1 2 1
+After:  [1, 4, 2, 1]
+
+Before: [0, 3, 3, 0]
+5 0 1 1
+After:  [0, 0, 3, 0]
+
+Before: [1, 1, 2, 2]
+14 3 1 0
+After:  [3, 1, 2, 2]
+
+Before: [0, 2, 2, 2]
+11 1 2 3
+After:  [0, 2, 2, 4]
+
+Before: [2, 1, 3, 3]
+1 3 3 1
+After:  [2, 9, 3, 3]
+
+Before: [0, 2, 3, 0]
+2 1 3 3
+After:  [0, 2, 3, 3]
+
+Before: [1, 2, 0, 2]
+4 1 1 1
+After:  [1, 3, 0, 2]
+
+Before: [1, 0, 0, 1]
+12 0 1 0
+After:  [1, 0, 0, 1]
+
+Before: [1, 1, 0, 0]
+7 3 1 2
+After:  [1, 1, 1, 0]
+
+Before: [2, 1, 0, 0]
+7 3 1 1
+After:  [2, 1, 0, 0]
+
+Before: [2, 3, 0, 3]
+3 3 1 0
+After:  [3, 3, 0, 3]
+
+Before: [2, 0, 2, 1]
+14 3 2 3
+After:  [2, 0, 2, 3]
+
+Before: [2, 3, 2, 3]
+11 0 2 2
+After:  [2, 3, 4, 3]
+
+Before: [2, 0, 2, 1]
+11 0 2 3
+After:  [2, 0, 2, 4]
+
+Before: [3, 3, 3, 2]
+13 2 3 0
+After:  [6, 3, 3, 2]
+
+Before: [2, 2, 2, 1]
+3 2 2 2
+After:  [2, 2, 2, 1]
+
+Before: [0, 1, 2, 3]
+10 3 2 3
+After:  [0, 1, 2, 2]
+
+Before: [0, 3, 2, 3]
+5 0 2 1
+After:  [0, 0, 2, 3]
+
+Before: [1, 0, 0, 2]
+12 0 1 3
+After:  [1, 0, 0, 1]
+
+Before: [2, 1, 0, 1]
+7 2 1 2
+After:  [2, 1, 1, 1]
+
+Before: [2, 0, 2, 1]
+15 3 1 3
+After:  [2, 0, 2, 1]
+
+Before: [3, 2, 2, 1]
+11 1 2 1
+After:  [3, 4, 2, 1]
+
+Before: [0, 1, 1, 2]
+14 3 1 0
+After:  [3, 1, 1, 2]
+
+Before: [2, 2, 1, 2]
+2 1 3 1
+After:  [2, 3, 1, 2]
+
+Before: [1, 1, 2, 0]
+1 0 3 1
+After:  [1, 3, 2, 0]
+
+Before: [0, 0, 2, 2]
+8 1 2 3
+After:  [0, 0, 2, 2]
+
+Before: [1, 0, 3, 0]
+12 0 1 3
+After:  [1, 0, 3, 1]
+
+Before: [3, 0, 1, 2]
+15 2 1 1
+After:  [3, 1, 1, 2]
+
+Before: [0, 3, 1, 3]
+6 0 0 1
+After:  [0, 0, 1, 3]
+
+Before: [0, 1, 2, 0]
+5 0 2 1
+After:  [0, 0, 2, 0]
+
+Before: [0, 0, 3, 0]
+6 0 0 2
+After:  [0, 0, 0, 0]
+
+Before: [1, 1, 2, 0]
+7 3 1 2
+After:  [1, 1, 1, 0]
+
+Before: [0, 2, 2, 2]
+11 2 2 0
+After:  [4, 2, 2, 2]
+
+Before: [0, 2, 1, 3]
+3 3 0 0
+After:  [3, 2, 1, 3]
+
+Before: [1, 2, 3, 1]
+0 2 1 3
+After:  [1, 2, 3, 2]
+
+Before: [2, 1, 0, 2]
+7 2 1 3
+After:  [2, 1, 0, 1]
+
+Before: [3, 0, 1, 2]
+13 0 3 0
+After:  [6, 0, 1, 2]
+
+Before: [2, 2, 3, 2]
+0 2 0 3
+After:  [2, 2, 3, 2]
+
+Before: [0, 2, 1, 3]
+5 0 3 1
+After:  [0, 0, 1, 3]
+
+Before: [2, 1, 2, 0]
+8 3 2 0
+After:  [2, 1, 2, 0]
+
+Before: [2, 2, 0, 1]
+9 3 1 2
+After:  [2, 2, 1, 1]
+
+Before: [1, 1, 1, 0]
+1 2 3 1
+After:  [1, 3, 1, 0]
+
+Before: [2, 0, 2, 0]
+5 1 0 3
+After:  [2, 0, 2, 0]
+
+Before: [0, 2, 1, 2]
+6 0 0 1
+After:  [0, 0, 1, 2]
+
+Before: [0, 1, 1, 2]
+6 0 0 3
+After:  [0, 1, 1, 0]
+
+Before: [3, 0, 3, 3]
+10 2 2 0
+After:  [2, 0, 3, 3]
+
+Before: [0, 3, 2, 2]
+1 1 2 2
+After:  [0, 3, 6, 2]
+
+Before: [3, 3, 2, 0]
+10 1 2 3
+After:  [3, 3, 2, 2]
+
+Before: [2, 3, 1, 3]
+8 2 3 2
+After:  [2, 3, 3, 3]
+
+Before: [1, 0, 0, 1]
+12 0 1 1
+After:  [1, 1, 0, 1]
+
+Before: [1, 0, 0, 2]
+12 0 1 0
+After:  [1, 0, 0, 2]
+
+Before: [1, 3, 1, 2]
+13 1 3 0
+After:  [6, 3, 1, 2]
+
+Before: [3, 1, 0, 2]
+7 2 1 2
+After:  [3, 1, 1, 2]
+
+Before: [3, 0, 1, 1]
+5 1 0 2
+After:  [3, 0, 0, 1]
+
+Before: [3, 1, 2, 0]
+11 2 2 2
+After:  [3, 1, 4, 0]
+
+Before: [3, 3, 3, 2]
+0 2 3 2
+After:  [3, 3, 2, 2]
+
+Before: [1, 3, 3, 3]
+10 2 2 1
+After:  [1, 2, 3, 3]
+
+Before: [0, 0, 1, 0]
+15 2 1 1
+After:  [0, 1, 1, 0]
+
+Before: [3, 2, 1, 1]
+9 3 1 3
+After:  [3, 2, 1, 1]
+
+Before: [0, 3, 1, 0]
+9 2 1 2
+After:  [0, 3, 1, 0]
+
+Before: [0, 1, 3, 3]
+10 2 2 3
+After:  [0, 1, 3, 2]
+
+Before: [1, 2, 1, 0]
+2 1 3 3
+After:  [1, 2, 1, 3]
+
+Before: [0, 1, 3, 2]
+14 3 1 0
+After:  [3, 1, 3, 2]
+
+Before: [3, 1, 2, 0]
+1 1 2 1
+After:  [3, 2, 2, 0]
+
+Before: [1, 0, 0, 0]
+12 0 1 3
+After:  [1, 0, 0, 1]
+
+Before: [0, 1, 2, 1]
+1 1 3 1
+After:  [0, 3, 2, 1]
+
+Before: [3, 2, 2, 1]
+11 2 2 3
+After:  [3, 2, 2, 4]
+
+Before: [3, 0, 2, 0]
+8 1 2 1
+After:  [3, 2, 2, 0]
+
+Before: [1, 0, 1, 3]
+15 2 1 0
+After:  [1, 0, 1, 3]
+
+Before: [0, 2, 2, 2]
+8 0 2 2
+After:  [0, 2, 2, 2]
+
+Before: [3, 0, 2, 1]
+11 2 2 2
+After:  [3, 0, 4, 1]
+
+Before: [3, 2, 3, 1]
+14 3 2 2
+After:  [3, 2, 3, 1]
+
+Before: [0, 2, 1, 1]
+6 0 0 1
+After:  [0, 0, 1, 1]
+
+Before: [3, 2, 0, 1]
+9 3 1 2
+After:  [3, 2, 1, 1]
+
+Before: [2, 0, 3, 1]
+15 3 1 3
+After:  [2, 0, 3, 1]
+
+Before: [0, 1, 0, 3]
+6 0 0 3
+After:  [0, 1, 0, 0]
+
+Before: [1, 0, 2, 3]
+1 0 2 1
+After:  [1, 2, 2, 3]
+
+Before: [1, 3, 3, 2]
+0 2 3 2
+After:  [1, 3, 2, 2]
+
+Before: [0, 0, 1, 3]
+6 0 0 3
+After:  [0, 0, 1, 0]
+
+Before: [3, 3, 2, 0]
+11 2 2 0
+After:  [4, 3, 2, 0]
+
+Before: [0, 0, 0, 3]
+4 0 2 2
+After:  [0, 0, 2, 3]
+
+Before: [0, 3, 2, 2]
+11 2 2 0
+After:  [4, 3, 2, 2]
+
+Before: [2, 3, 1, 3]
+1 3 3 0
+After:  [9, 3, 1, 3]
+
+Before: [2, 0, 3, 3]
+0 2 0 2
+After:  [2, 0, 2, 3]
+
+Before: [2, 3, 0, 2]
+4 2 3 2
+After:  [2, 3, 3, 2]
+
+Before: [0, 2, 3, 3]
+5 0 1 2
+After:  [0, 2, 0, 3]
+
+Before: [1, 0, 3, 1]
+10 2 2 2
+After:  [1, 0, 2, 1]
+
+Before: [2, 0, 0, 3]
+1 0 3 3
+After:  [2, 0, 0, 6]
+
+Before: [1, 3, 3, 0]
+9 0 1 1
+After:  [1, 1, 3, 0]
+
+Before: [0, 3, 1, 2]
+6 0 0 3
+After:  [0, 3, 1, 0]
+
+Before: [0, 0, 2, 0]
+11 2 2 2
+After:  [0, 0, 4, 0]
+
+Before: [2, 1, 3, 2]
+13 2 3 0
+After:  [6, 1, 3, 2]
+
+Before: [1, 0, 3, 2]
+12 0 1 2
+After:  [1, 0, 1, 2]
+
+Before: [3, 1, 3, 2]
+13 2 3 3
+After:  [3, 1, 3, 6]
+
+Before: [0, 3, 2, 0]
+4 0 1 3
+After:  [0, 3, 2, 1]
+
+Before: [3, 3, 2, 2]
+10 0 2 2
+After:  [3, 3, 2, 2]
+
+Before: [0, 2, 2, 0]
+8 0 2 1
+After:  [0, 2, 2, 0]
+
+Before: [0, 0, 0, 3]
+5 0 3 2
+After:  [0, 0, 0, 3]
+
+Before: [2, 2, 3, 1]
+0 2 0 2
+After:  [2, 2, 2, 1]
+
+Before: [1, 0, 2, 1]
+14 3 2 3
+After:  [1, 0, 2, 3]
+
+Before: [1, 0, 2, 2]
+12 0 1 0
+After:  [1, 0, 2, 2]
+
+Before: [3, 0, 3, 0]
+10 2 2 3
+After:  [3, 0, 3, 2]
+
+Before: [0, 1, 0, 1]
+7 2 1 0
+After:  [1, 1, 0, 1]
+
+Before: [0, 1, 0, 0]
+7 2 1 3
+After:  [0, 1, 0, 1]
+
+Before: [1, 1, 0, 3]
+1 3 3 1
+After:  [1, 9, 0, 3]
+
+Before: [3, 0, 1, 0]
+15 2 1 1
+After:  [3, 1, 1, 0]
+
+Before: [0, 3, 0, 3]
+5 0 3 0
+After:  [0, 3, 0, 3]
+
+Before: [3, 1, 0, 1]
+7 2 1 3
+After:  [3, 1, 0, 1]
+
+Before: [0, 3, 3, 1]
+5 0 3 2
+After:  [0, 3, 0, 1]
+
+Before: [1, 1, 2, 1]
+14 3 2 3
+After:  [1, 1, 2, 3]
+
+Before: [1, 2, 2, 0]
+11 1 2 1
+After:  [1, 4, 2, 0]
+
+Before: [2, 2, 1, 3]
+1 1 3 2
+After:  [2, 2, 6, 3]
+
+Before: [0, 2, 1, 0]
+6 0 0 0
+After:  [0, 2, 1, 0]
+
+Before: [0, 0, 3, 3]
+6 0 0 3
+After:  [0, 0, 3, 0]
+
+Before: [0, 0, 3, 1]
+14 3 2 0
+After:  [3, 0, 3, 1]
+
+Before: [0, 0, 2, 1]
+6 0 0 2
+After:  [0, 0, 0, 1]
+
+Before: [1, 0, 2, 1]
+14 3 2 2
+After:  [1, 0, 3, 1]
+
+Before: [0, 2, 2, 1]
+11 2 2 0
+After:  [4, 2, 2, 1]
+
+Before: [3, 0, 3, 3]
+10 2 2 1
+After:  [3, 2, 3, 3]
+
+Before: [2, 0, 1, 0]
+2 0 3 0
+After:  [3, 0, 1, 0]
+
+Before: [3, 3, 2, 3]
+3 3 1 0
+After:  [3, 3, 2, 3]
+
+Before: [1, 3, 2, 1]
+14 3 2 2
+After:  [1, 3, 3, 1]
+
+Before: [3, 0, 3, 2]
+0 2 3 1
+After:  [3, 2, 3, 2]
+
+Before: [0, 0, 0, 1]
+15 3 1 2
+After:  [0, 0, 1, 1]
+
+Before: [1, 1, 3, 1]
+14 3 2 0
+After:  [3, 1, 3, 1]
+
+Before: [0, 2, 3, 2]
+5 0 1 1
+After:  [0, 0, 3, 2]
+
+Before: [3, 1, 3, 3]
+1 2 3 3
+After:  [3, 1, 3, 9]
+
+Before: [2, 0, 1, 1]
+1 2 3 2
+After:  [2, 0, 3, 1]
+
+Before: [1, 0, 2, 3]
+10 3 2 2
+After:  [1, 0, 2, 3]
+
+Before: [0, 2, 1, 2]
+4 0 3 2
+After:  [0, 2, 3, 2]
+
+Before: [0, 3, 2, 0]
+3 2 0 0
+After:  [2, 3, 2, 0]
+
+Before: [3, 2, 2, 2]
+11 1 2 3
+After:  [3, 2, 2, 4]
+
+Before: [1, 0, 1, 2]
+15 2 1 3
+After:  [1, 0, 1, 1]
+
+Before: [2, 1, 1, 2]
+14 3 1 0
+After:  [3, 1, 1, 2]
+
+Before: [1, 3, 2, 3]
+11 2 2 3
+After:  [1, 3, 2, 4]
+
+Before: [0, 2, 2, 1]
+3 2 2 3
+After:  [0, 2, 2, 2]
+
+Before: [1, 0, 2, 3]
+12 0 1 1
+After:  [1, 1, 2, 3]
+
+Before: [1, 3, 0, 3]
+8 2 3 1
+After:  [1, 3, 0, 3]
+
+Before: [0, 2, 2, 3]
+10 3 2 2
+After:  [0, 2, 2, 3]
+
+Before: [0, 1, 3, 2]
+5 0 3 1
+After:  [0, 0, 3, 2]
+
+Before: [3, 1, 1, 2]
+8 1 3 1
+After:  [3, 3, 1, 2]
+
+Before: [2, 3, 1, 3]
+1 0 3 2
+After:  [2, 3, 6, 3]
+
+Before: [2, 0, 3, 1]
+14 3 2 0
+After:  [3, 0, 3, 1]
+
+Before: [1, 2, 2, 1]
+13 0 1 0
+After:  [2, 2, 2, 1]
+
+Before: [1, 2, 3, 3]
+10 2 2 2
+After:  [1, 2, 2, 3]
+
+Before: [3, 1, 0, 0]
+7 2 1 3
+After:  [3, 1, 0, 1]
+
+Before: [2, 3, 2, 2]
+13 1 3 0
+After:  [6, 3, 2, 2]
+
+Before: [0, 1, 3, 3]
+10 2 2 2
+After:  [0, 1, 2, 3]
+
+Before: [2, 1, 2, 2]
+14 3 1 0
+After:  [3, 1, 2, 2]
+
+Before: [2, 3, 3, 2]
+0 2 3 3
+After:  [2, 3, 3, 2]
+
+Before: [2, 3, 0, 1]
+4 2 3 1
+After:  [2, 3, 0, 1]
+
+Before: [0, 1, 2, 0]
+4 0 3 1
+After:  [0, 3, 2, 0]
+
+Before: [0, 1, 2, 0]
+6 0 0 2
+After:  [0, 1, 0, 0]
+
+Before: [2, 1, 0, 2]
+2 0 3 3
+After:  [2, 1, 0, 3]
+
+Before: [0, 3, 3, 0]
+4 0 2 1
+After:  [0, 2, 3, 0]
+
+Before: [0, 1, 3, 3]
+3 3 0 0
+After:  [3, 1, 3, 3]
+
+Before: [3, 1, 1, 0]
+7 3 1 0
+After:  [1, 1, 1, 0]
+
+Before: [1, 3, 1, 1]
+9 0 1 1
+After:  [1, 1, 1, 1]
+
+Before: [0, 2, 0, 1]
+9 3 1 2
+After:  [0, 2, 1, 1]
+
+Before: [0, 0, 2, 3]
+11 2 2 3
+After:  [0, 0, 2, 4]
+
+Before: [1, 2, 2, 1]
+1 0 2 1
+After:  [1, 2, 2, 1]
+
+Before: [0, 2, 2, 2]
+11 3 2 2
+After:  [0, 2, 4, 2]
+
+Before: [0, 1, 1, 0]
+7 3 1 3
+After:  [0, 1, 1, 1]
+
+Before: [2, 3, 2, 0]
+11 2 2 3
+After:  [2, 3, 2, 4]
+
+Before: [2, 0, 2, 0]
+2 0 3 1
+After:  [2, 3, 2, 0]
+
+Before: [0, 3, 3, 3]
+6 0 0 0
+After:  [0, 3, 3, 3]
+
+Before: [1, 1, 3, 1]
+8 1 2 1
+After:  [1, 3, 3, 1]
+
+Before: [2, 3, 0, 3]
+8 2 3 1
+After:  [2, 3, 0, 3]
+
+Before: [2, 2, 3, 2]
+0 2 3 2
+After:  [2, 2, 2, 2]
+
+Before: [1, 2, 1, 1]
+13 0 1 1
+After:  [1, 2, 1, 1]
+
+Before: [2, 3, 2, 2]
+2 2 3 1
+After:  [2, 3, 2, 2]
+
+Before: [0, 1, 2, 0]
+3 2 0 2
+After:  [0, 1, 2, 0]
+
+Before: [1, 3, 0, 3]
+9 0 1 0
+After:  [1, 3, 0, 3]
+
+Before: [1, 1, 0, 3]
+7 2 1 1
+After:  [1, 1, 0, 3]
+
+Before: [1, 0, 2, 1]
+12 0 1 1
+After:  [1, 1, 2, 1]
+
+Before: [0, 0, 2, 0]
+8 0 2 1
+After:  [0, 2, 2, 0]
+
+Before: [0, 2, 1, 0]
+5 0 1 3
+After:  [0, 2, 1, 0]
+
+Before: [1, 2, 3, 0]
+8 0 2 0
+After:  [3, 2, 3, 0]
+
+Before: [1, 0, 2, 2]
+12 0 1 2
+After:  [1, 0, 1, 2]
+
+Before: [2, 3, 2, 0]
+2 2 3 1
+After:  [2, 3, 2, 0]
+
+Before: [1, 3, 3, 2]
+13 1 3 1
+After:  [1, 6, 3, 2]
+
+Before: [2, 0, 2, 1]
+15 3 1 1
+After:  [2, 1, 2, 1]
+
+Before: [0, 3, 1, 3]
+9 2 1 2
+After:  [0, 3, 1, 3]
+
+Before: [3, 3, 1, 0]
+4 3 2 1
+After:  [3, 2, 1, 0]
+
+Before: [2, 1, 0, 2]
+7 2 1 2
+After:  [2, 1, 1, 2]
+
+Before: [0, 2, 2, 3]
+4 0 1 2
+After:  [0, 2, 1, 3]
+
+Before: [2, 0, 2, 1]
+5 1 0 0
+After:  [0, 0, 2, 1]
+
+Before: [2, 0, 3, 0]
+0 2 0 1
+After:  [2, 2, 3, 0]
+
+Before: [1, 3, 2, 3]
+9 0 1 2
+After:  [1, 3, 1, 3]
+
+Before: [3, 1, 1, 3]
+3 3 1 2
+After:  [3, 1, 3, 3]
+
+Before: [0, 1, 0, 2]
+14 3 1 2
+After:  [0, 1, 3, 2]
+
+Before: [3, 0, 1, 2]
+15 2 1 0
+After:  [1, 0, 1, 2]
+
+Before: [2, 2, 2, 3]
+10 3 2 0
+After:  [2, 2, 2, 3]
+
+Before: [1, 2, 0, 1]
+13 3 1 0
+After:  [2, 2, 0, 1]
+
+Before: [0, 3, 0, 3]
+6 0 0 2
+After:  [0, 3, 0, 3]
+
+Before: [0, 2, 2, 1]
+14 3 2 3
+After:  [0, 2, 2, 3]
+
+Before: [2, 1, 0, 3]
+7 2 1 3
+After:  [2, 1, 0, 1]
+
+Before: [0, 1, 0, 3]
+7 2 1 0
+After:  [1, 1, 0, 3]
+
+Before: [3, 0, 2, 3]
+1 2 3 1
+After:  [3, 6, 2, 3]
+
+Before: [0, 2, 3, 2]
+5 0 3 3
+After:  [0, 2, 3, 0]
+
+Before: [1, 3, 3, 2]
+13 1 3 0
+After:  [6, 3, 3, 2]
+
+Before: [1, 1, 1, 3]
+1 3 3 2
+After:  [1, 1, 9, 3]
+
+Before: [3, 2, 2, 0]
+4 1 1 0
+After:  [3, 2, 2, 0]
+
+Before: [1, 1, 3, 2]
+0 2 3 1
+After:  [1, 2, 3, 2]
+
+Before: [1, 0, 2, 0]
+12 0 1 1
+After:  [1, 1, 2, 0]
+
+Before: [0, 0, 2, 1]
+14 3 2 2
+After:  [0, 0, 3, 1]
+
+Before: [3, 1, 3, 0]
+4 3 2 1
+After:  [3, 2, 3, 0]
+
+Before: [2, 0, 0, 3]
+1 0 2 0
+After:  [4, 0, 0, 3]
+
+Before: [1, 2, 3, 0]
+13 0 1 1
+After:  [1, 2, 3, 0]
+
+Before: [0, 1, 3, 0]
+7 3 1 2
+After:  [0, 1, 1, 0]
+
+Before: [0, 1, 2, 0]
+2 2 3 0
+After:  [3, 1, 2, 0]
+
+Before: [1, 0, 3, 2]
+0 2 3 3
+After:  [1, 0, 3, 2]
+
+Before: [1, 3, 2, 3]
+1 1 3 2
+After:  [1, 3, 9, 3]
+
+Before: [1, 0, 2, 3]
+12 0 1 3
+After:  [1, 0, 2, 1]
+
+Before: [3, 2, 2, 2]
+2 1 3 3
+After:  [3, 2, 2, 3]
+
+Before: [0, 1, 0, 1]
+7 2 1 3
+After:  [0, 1, 0, 1]
+
+Before: [3, 0, 2, 3]
+10 0 2 0
+After:  [2, 0, 2, 3]
+
+Before: [0, 3, 3, 3]
+5 0 3 1
+After:  [0, 0, 3, 3]
+
+Before: [2, 1, 3, 1]
+0 2 0 2
+After:  [2, 1, 2, 1]
+
+Before: [2, 1, 2, 1]
+3 2 0 2
+After:  [2, 1, 2, 1]
+
+Before: [1, 2, 0, 0]
+2 1 3 3
+After:  [1, 2, 0, 3]
+
+Before: [3, 0, 0, 1]
+15 3 1 0
+After:  [1, 0, 0, 1]
+
+Before: [2, 2, 3, 0]
+10 2 2 2
+After:  [2, 2, 2, 0]
+
+Before: [1, 1, 3, 0]
+8 0 2 3
+After:  [1, 1, 3, 3]
+
+Before: [2, 1, 2, 2]
+14 3 1 2
+After:  [2, 1, 3, 2]
+
+Before: [3, 1, 2, 2]
+11 3 2 3
+After:  [3, 1, 2, 4]
+
+Before: [1, 1, 3, 0]
+10 2 2 3
+After:  [1, 1, 3, 2]
+
+Before: [1, 2, 0, 1]
+9 3 1 0
+After:  [1, 2, 0, 1]
+
+Before: [1, 3, 3, 2]
+13 1 3 2
+After:  [1, 3, 6, 2]
+
+Before: [3, 3, 3, 2]
+13 2 3 3
+After:  [3, 3, 3, 6]
+
+Before: [2, 1, 0, 2]
+7 2 1 1
+After:  [2, 1, 0, 2]
+
+Before: [3, 2, 3, 1]
+0 2 1 2
+After:  [3, 2, 2, 1]
+
+Before: [0, 0, 1, 1]
+5 0 3 2
+After:  [0, 0, 0, 1]
+
+Before: [0, 1, 1, 0]
+5 0 1 1
+After:  [0, 0, 1, 0]
+
+Before: [3, 1, 0, 1]
+7 2 1 0
+After:  [1, 1, 0, 1]
+
+Before: [1, 1, 1, 3]
+8 2 3 3
+After:  [1, 1, 1, 3]
+
+Before: [1, 0, 2, 1]
+12 0 1 2
+After:  [1, 0, 1, 1]
+
+Before: [2, 2, 1, 0]
+2 0 3 3
+After:  [2, 2, 1, 3]
+
+Before: [3, 0, 2, 2]
+3 2 2 2
+After:  [3, 0, 2, 2]
+
+Before: [0, 2, 0, 0]
+2 1 3 3
+After:  [0, 2, 0, 3]
+
+Before: [2, 2, 2, 1]
+14 3 2 1
+After:  [2, 3, 2, 1]
+
+Before: [0, 1, 2, 3]
+11 2 2 1
+After:  [0, 4, 2, 3]
+
+Before: [3, 2, 0, 0]
+4 1 1 1
+After:  [3, 3, 0, 0]
+
+Before: [1, 1, 3, 3]
+8 1 3 1
+After:  [1, 3, 3, 3]
+
+Before: [1, 0, 3, 2]
+8 0 2 3
+After:  [1, 0, 3, 3]
+
+Before: [3, 1, 2, 3]
+11 2 2 0
+After:  [4, 1, 2, 3]
+
+Before: [3, 1, 2, 1]
+10 0 2 1
+After:  [3, 2, 2, 1]
+
+Before: [3, 1, 2, 1]
+3 2 2 0
+After:  [2, 1, 2, 1]
+
+Before: [0, 1, 0, 0]
+6 0 0 2
+After:  [0, 1, 0, 0]
+
+Before: [1, 0, 1, 2]
+8 2 3 0
+After:  [3, 0, 1, 2]
+
+Before: [3, 0, 3, 2]
+13 0 3 1
+After:  [3, 6, 3, 2]
+
+Before: [1, 2, 2, 1]
+11 1 2 3
+After:  [1, 2, 2, 4]
+
+Before: [0, 2, 0, 3]
+6 0 0 3
+After:  [0, 2, 0, 0]
+
+Before: [1, 0, 3, 3]
+12 0 1 2
+After:  [1, 0, 1, 3]
+
+Before: [0, 1, 2, 2]
+6 0 0 3
+After:  [0, 1, 2, 0]
+
+Before: [2, 2, 0, 0]
+2 1 3 3
+After:  [2, 2, 0, 3]
+
+Before: [0, 1, 3, 2]
+6 0 0 0
+After:  [0, 1, 3, 2]
+
+Before: [3, 0, 3, 1]
+15 3 1 1
+After:  [3, 1, 3, 1]
+
+Before: [0, 0, 2, 1]
+14 3 2 3
+After:  [0, 0, 2, 3]
+
+Before: [0, 3, 0, 1]
+6 0 0 3
+After:  [0, 3, 0, 0]
+
+Before: [1, 3, 1, 1]
+9 2 1 1
+After:  [1, 1, 1, 1]
+
+Before: [1, 0, 1, 0]
+12 0 1 3
+After:  [1, 0, 1, 1]
+
+Before: [3, 0, 1, 1]
+1 2 3 3
+After:  [3, 0, 1, 3]
+
+Before: [3, 3, 3, 1]
+14 3 2 0
+After:  [3, 3, 3, 1]
+
+Before: [2, 2, 1, 1]
+9 3 1 3
+After:  [2, 2, 1, 1]
+
+Before: [1, 1, 3, 2]
+14 3 1 2
+After:  [1, 1, 3, 2]
+
+Before: [1, 0, 2, 2]
+1 0 2 3
+After:  [1, 0, 2, 2]
+
+Before: [1, 2, 3, 3]
+4 1 1 1
+After:  [1, 3, 3, 3]
+
+Before: [2, 2, 3, 1]
+9 3 1 0
+After:  [1, 2, 3, 1]
+
+Before: [2, 2, 3, 0]
+0 2 0 0
+After:  [2, 2, 3, 0]
+
+Before: [0, 1, 3, 1]
+10 2 2 1
+After:  [0, 2, 3, 1]
+
+Before: [3, 1, 2, 3]
+8 2 1 1
+After:  [3, 3, 2, 3]
+
+Before: [1, 0, 0, 3]
+12 0 1 0
+After:  [1, 0, 0, 3]
+
+Before: [1, 0, 1, 0]
+12 0 1 1
+After:  [1, 1, 1, 0]
+
+Before: [2, 2, 2, 2]
+2 0 3 1
+After:  [2, 3, 2, 2]
+
+Before: [2, 1, 3, 0]
+7 3 1 3
+After:  [2, 1, 3, 1]
+
+Before: [3, 2, 2, 0]
+11 1 2 2
+After:  [3, 2, 4, 0]
+
+Before: [1, 0, 1, 3]
+3 3 0 2
+After:  [1, 0, 3, 3]
+
+Before: [3, 3, 3, 1]
+10 2 2 0
+After:  [2, 3, 3, 1]
+
+Before: [2, 0, 1, 1]
+15 2 1 0
+After:  [1, 0, 1, 1]
+
+Before: [2, 0, 2, 2]
+11 2 2 3
+After:  [2, 0, 2, 4]
+
+Before: [0, 0, 1, 1]
+15 3 1 0
+After:  [1, 0, 1, 1]
+
+Before: [3, 2, 3, 0]
+2 1 3 3
+After:  [3, 2, 3, 3]
+
+Before: [2, 1, 1, 2]
+1 0 2 3
+After:  [2, 1, 1, 4]
+
+Before: [3, 2, 3, 1]
+10 2 2 1
+After:  [3, 2, 3, 1]
+
+Before: [2, 2, 3, 2]
+13 2 3 0
+After:  [6, 2, 3, 2]
+
+Before: [1, 3, 2, 1]
+14 3 2 0
+After:  [3, 3, 2, 1]
+
+Before: [1, 0, 0, 3]
+8 0 3 3
+After:  [1, 0, 0, 3]
+
+Before: [3, 1, 1, 2]
+14 3 1 2
+After:  [3, 1, 3, 2]
+
+Before: [2, 3, 0, 3]
+1 3 3 3
+After:  [2, 3, 0, 9]
+
+Before: [0, 3, 1, 3]
+3 3 3 3
+After:  [0, 3, 1, 3]
+
+Before: [0, 2, 0, 1]
+9 3 1 0
+After:  [1, 2, 0, 1]
+
+Before: [1, 2, 2, 1]
+1 0 2 3
+After:  [1, 2, 2, 2]
+
+Before: [2, 0, 1, 0]
+15 2 1 3
+After:  [2, 0, 1, 1]
+
+Before: [0, 1, 2, 3]
+10 3 2 2
+After:  [0, 1, 2, 3]
+
+Before: [1, 1, 3, 2]
+14 3 1 0
+After:  [3, 1, 3, 2]
+
+Before: [0, 0, 1, 3]
+15 2 1 0
+After:  [1, 0, 1, 3]
+
+Before: [0, 1, 0, 1]
+5 0 1 0
+After:  [0, 1, 0, 1]
+
+Before: [3, 0, 3, 2]
+13 0 3 3
+After:  [3, 0, 3, 6]
+
+Before: [2, 3, 3, 1]
+14 3 2 1
+After:  [2, 3, 3, 1]
+
+Before: [3, 0, 3, 1]
+15 3 1 0
+After:  [1, 0, 3, 1]
+
+Before: [0, 2, 2, 3]
+5 0 1 1
+After:  [0, 0, 2, 3]
+
+Before: [0, 3, 1, 0]
+4 0 3 0
+After:  [3, 3, 1, 0]
+
+Before: [1, 0, 2, 3]
+12 0 1 2
+After:  [1, 0, 1, 3]
+
+Before: [3, 0, 1, 1]
+15 3 1 3
+After:  [3, 0, 1, 1]
+
+Before: [0, 3, 3, 3]
+5 0 2 2
+After:  [0, 3, 0, 3]
+
+Before: [2, 0, 0, 3]
+4 1 2 3
+After:  [2, 0, 0, 2]
+
+Before: [1, 3, 1, 0]
+9 0 1 3
+After:  [1, 3, 1, 1]
+
+Before: [0, 0, 1, 2]
+15 2 1 0
+After:  [1, 0, 1, 2]
+
+Before: [1, 0, 0, 3]
+8 0 3 0
+After:  [3, 0, 0, 3]
+
+Before: [0, 2, 3, 2]
+10 2 2 0
+After:  [2, 2, 3, 2]
+
+Before: [0, 1, 0, 2]
+5 0 3 0
+After:  [0, 1, 0, 2]
+
+Before: [0, 0, 3, 0]
+5 0 2 0
+After:  [0, 0, 3, 0]
+
+Before: [3, 2, 2, 2]
+13 0 3 0
+After:  [6, 2, 2, 2]
+
+Before: [3, 0, 2, 1]
+4 2 1 1
+After:  [3, 3, 2, 1]
+
+Before: [1, 3, 3, 1]
+9 0 1 2
+After:  [1, 3, 1, 1]
+
+Before: [1, 0, 3, 3]
+3 3 0 2
+After:  [1, 0, 3, 3]
+
+Before: [0, 1, 0, 2]
+14 3 1 1
+After:  [0, 3, 0, 2]
+
+Before: [0, 0, 2, 3]
+4 2 1 3
+After:  [0, 0, 2, 3]
+
+Before: [1, 2, 2, 3]
+13 0 1 3
+After:  [1, 2, 2, 2]
+
+Before: [1, 1, 2, 0]
+8 0 2 1
+After:  [1, 3, 2, 0]
+
+Before: [0, 0, 2, 2]
+6 0 0 1
+After:  [0, 0, 2, 2]
+
+Before: [2, 2, 2, 3]
+3 2 2 3
+After:  [2, 2, 2, 2]
+
+Before: [3, 0, 2, 2]
+13 0 3 2
+After:  [3, 0, 6, 2]
+
+Before: [0, 2, 0, 2]
+5 0 1 3
+After:  [0, 2, 0, 0]
+
+Before: [2, 0, 0, 3]
+3 3 3 3
+After:  [2, 0, 0, 3]
+
+Before: [1, 3, 2, 1]
+10 1 2 0
+After:  [2, 3, 2, 1]
+
+Before: [0, 1, 3, 2]
+0 2 3 0
+After:  [2, 1, 3, 2]
+
+Before: [2, 0, 1, 3]
+1 0 3 1
+After:  [2, 6, 1, 3]
+
+Before: [0, 3, 1, 2]
+6 0 0 2
+After:  [0, 3, 0, 2]
+
+Before: [3, 1, 3, 0]
+10 2 2 2
+After:  [3, 1, 2, 0]
+
+Before: [3, 1, 3, 2]
+14 3 1 1
+After:  [3, 3, 3, 2]
+
+Before: [0, 1, 3, 2]
+0 2 3 3
+After:  [0, 1, 3, 2]
+
+Before: [0, 1, 2, 1]
+11 2 2 3
+After:  [0, 1, 2, 4]
+
+Before: [0, 2, 1, 0]
+4 2 2 0
+After:  [3, 2, 1, 0]
+
+Before: [1, 1, 3, 1]
+14 3 2 1
+After:  [1, 3, 3, 1]
+
+Before: [3, 3, 3, 3]
+1 1 3 3
+After:  [3, 3, 3, 9]
+
+Before: [2, 3, 1, 1]
+9 2 1 0
+After:  [1, 3, 1, 1]
+
+Before: [2, 1, 3, 2]
+2 0 3 3
+After:  [2, 1, 3, 3]
+
+Before: [0, 1, 0, 2]
+8 1 3 3
+After:  [0, 1, 0, 3]
+
+Before: [2, 3, 3, 2]
+13 2 3 2
+After:  [2, 3, 6, 2]
+
+Before: [2, 3, 1, 2]
+9 2 1 2
+After:  [2, 3, 1, 2]
+
+Before: [3, 2, 2, 0]
+2 1 3 2
+After:  [3, 2, 3, 0]
+
+Before: [3, 2, 1, 1]
+13 3 1 0
+After:  [2, 2, 1, 1]
+
+Before: [0, 0, 1, 3]
+15 2 1 1
+After:  [0, 1, 1, 3]
+
+Before: [1, 3, 2, 1]
+9 0 1 0
+After:  [1, 3, 2, 1]
+
+Before: [0, 0, 1, 2]
+5 0 2 0
+After:  [0, 0, 1, 2]
+
+Before: [0, 1, 3, 1]
+6 0 0 3
+After:  [0, 1, 3, 0]
+
+Before: [3, 1, 3, 0]
+7 3 1 2
+After:  [3, 1, 1, 0]
+
+Before: [0, 3, 2, 1]
+1 1 2 1
+After:  [0, 6, 2, 1]
+
+Before: [0, 2, 1, 3]
+3 3 3 3
+After:  [0, 2, 1, 3]
+
+Before: [0, 0, 3, 3]
+5 0 2 2
+After:  [0, 0, 0, 3]
+
+Before: [0, 2, 2, 0]
+3 2 2 3
+After:  [0, 2, 2, 2]
+
+Before: [2, 0, 1, 0]
+15 2 1 2
+After:  [2, 0, 1, 0]
+
+Before: [3, 2, 2, 3]
+3 3 3 0
+After:  [3, 2, 2, 3]
+
+Before: [1, 0, 3, 0]
+12 0 1 2
+After:  [1, 0, 1, 0]
+
+Before: [0, 1, 2, 0]
+7 3 1 1
+After:  [0, 1, 2, 0]
+
+Before: [2, 0, 3, 1]
+0 2 0 1
+After:  [2, 2, 3, 1]
+
+Before: [3, 3, 2, 2]
+11 2 2 2
+After:  [3, 3, 4, 2]
+
+Before: [0, 0, 2, 3]
+6 0 0 0
+After:  [0, 0, 2, 3]
+
+Before: [0, 3, 0, 2]
+6 0 0 2
+After:  [0, 3, 0, 2]
+
+Before: [2, 1, 0, 2]
+2 0 3 2
+After:  [2, 1, 3, 2]
+
+Before: [0, 3, 1, 0]
+5 0 1 2
+After:  [0, 3, 0, 0]
+
+Before: [3, 1, 1, 1]
+1 1 3 2
+After:  [3, 1, 3, 1]
+
+Before: [2, 0, 3, 1]
+0 2 0 3
+After:  [2, 0, 3, 2]
+
+Before: [1, 0, 1, 1]
+15 3 1 3
+After:  [1, 0, 1, 1]
+
+Before: [1, 0, 2, 1]
+12 0 1 3
+After:  [1, 0, 2, 1]
+
+Before: [3, 2, 2, 3]
+11 2 2 1
+After:  [3, 4, 2, 3]
+
+Before: [1, 3, 0, 0]
+9 0 1 1
+After:  [1, 1, 0, 0]
+
+Before: [2, 1, 2, 0]
+7 3 1 0
+After:  [1, 1, 2, 0]
+
+Before: [0, 3, 0, 3]
+3 3 1 1
+After:  [0, 3, 0, 3]
+
+Before: [0, 1, 1, 3]
+8 2 3 2
+After:  [0, 1, 3, 3]
+
+Before: [2, 1, 0, 3]
+7 2 1 1
+After:  [2, 1, 0, 3]
+
+Before: [2, 2, 3, 1]
+0 2 1 3
+After:  [2, 2, 3, 2]
+
+Before: [1, 0, 1, 1]
+12 0 1 1
+After:  [1, 1, 1, 1]
+
+Before: [0, 3, 1, 0]
+9 2 1 3
+After:  [0, 3, 1, 1]
+
+Before: [1, 0, 3, 0]
+12 0 1 0
+After:  [1, 0, 3, 0]
+
+Before: [0, 0, 3, 2]
+4 0 2 1
+After:  [0, 2, 3, 2]
+
+Before: [0, 0, 1, 1]
+15 2 1 2
+After:  [0, 0, 1, 1]
+
+Before: [2, 2, 2, 2]
+2 2 3 0
+After:  [3, 2, 2, 2]
+
+Before: [0, 0, 1, 1]
+15 3 1 3
+After:  [0, 0, 1, 1]
+
+Before: [1, 0, 3, 3]
+3 3 3 1
+After:  [1, 3, 3, 3]
+
+Before: [2, 0, 2, 2]
+2 2 3 3
+After:  [2, 0, 2, 3]
+
+Before: [0, 1, 0, 1]
+7 2 1 1
+After:  [0, 1, 0, 1]
+
+Before: [0, 2, 3, 1]
+10 2 2 3
+After:  [0, 2, 3, 2]
+
+Before: [1, 0, 1, 2]
+12 0 1 2
+After:  [1, 0, 1, 2]
+
+Before: [3, 1, 2, 0]
+1 1 3 3
+After:  [3, 1, 2, 3]
+
+Before: [0, 3, 1, 0]
+9 2 1 0
+After:  [1, 3, 1, 0]
+
+Before: [2, 0, 1, 2]
+15 2 1 3
+After:  [2, 0, 1, 1]
+
+Before: [2, 3, 1, 0]
+9 2 1 1
+After:  [2, 1, 1, 0]
+
+Before: [1, 0, 0, 0]
+12 0 1 1
+After:  [1, 1, 0, 0]
+
+Before: [2, 2, 3, 3]
+3 3 3 2
+After:  [2, 2, 3, 3]
+
+Before: [3, 3, 1, 1]
+1 2 3 2
+After:  [3, 3, 3, 1]
+
+Before: [3, 3, 2, 2]
+13 0 3 0
+After:  [6, 3, 2, 2]
+
+Before: [0, 1, 1, 0]
+4 1 2 2
+After:  [0, 1, 3, 0]
+
+Before: [1, 3, 2, 0]
+2 2 3 3
+After:  [1, 3, 2, 3]
+
+Before: [0, 3, 1, 1]
+9 2 1 1
+After:  [0, 1, 1, 1]
+
+Before: [0, 2, 3, 1]
+5 0 1 0
+After:  [0, 2, 3, 1]
+
+Before: [0, 2, 2, 2]
+5 0 3 3
+After:  [0, 2, 2, 0]
+
+Before: [0, 3, 3, 3]
+10 2 2 2
+After:  [0, 3, 2, 3]
+
+Before: [1, 3, 1, 3]
+3 3 1 3
+After:  [1, 3, 1, 3]
+
+Before: [3, 3, 3, 2]
+0 2 3 1
+After:  [3, 2, 3, 2]
+
+Before: [3, 3, 0, 1]
+4 2 3 0
+After:  [3, 3, 0, 1]
+
+Before: [0, 0, 0, 3]
+6 0 0 3
+After:  [0, 0, 0, 0]
+
+Before: [3, 0, 2, 1]
+14 3 2 3
+After:  [3, 0, 2, 3]
+
+Before: [1, 0, 3, 2]
+13 2 3 2
+After:  [1, 0, 6, 2]
+
+Before: [0, 1, 2, 0]
+7 3 1 2
+After:  [0, 1, 1, 0]
+
+Before: [3, 3, 2, 2]
+11 3 2 1
+After:  [3, 4, 2, 2]
+
+Before: [2, 2, 2, 3]
+1 3 2 3
+After:  [2, 2, 2, 6]
+
+Before: [2, 0, 2, 2]
+11 3 2 1
+After:  [2, 4, 2, 2]
+
+Before: [0, 2, 3, 2]
+0 2 1 1
+After:  [0, 2, 3, 2]
+
+Before: [1, 0, 2, 0]
+12 0 1 3
+After:  [1, 0, 2, 1]
+
+Before: [3, 3, 1, 2]
+13 0 3 3
+After:  [3, 3, 1, 6]
+
+Before: [3, 2, 3, 1]
+9 3 1 2
+After:  [3, 2, 1, 1]
+
+Before: [2, 2, 2, 0]
+11 2 2 3
+After:  [2, 2, 2, 4]
+
+Before: [1, 0, 1, 1]
+4 2 2 1
+After:  [1, 3, 1, 1]
+
+Before: [2, 2, 2, 1]
+14 3 2 2
+After:  [2, 2, 3, 1]
+
+Before: [1, 1, 2, 2]
+11 3 2 0
+After:  [4, 1, 2, 2]
+
+Before: [2, 2, 3, 2]
+0 2 0 2
+After:  [2, 2, 2, 2]
+
+Before: [1, 1, 0, 1]
+1 1 3 0
+After:  [3, 1, 0, 1]
+
+Before: [2, 3, 1, 0]
+2 0 3 3
+After:  [2, 3, 1, 3]
+
+Before: [1, 3, 3, 1]
+9 0 1 1
+After:  [1, 1, 3, 1]
+
+Before: [3, 3, 2, 2]
+10 1 2 1
+After:  [3, 2, 2, 2]
+
+Before: [0, 2, 3, 0]
+0 2 1 2
+After:  [0, 2, 2, 0]
+
+Before: [0, 3, 3, 1]
+6 0 0 0
+After:  [0, 3, 3, 1]
+
+Before: [3, 2, 2, 2]
+2 2 3 0
+After:  [3, 2, 2, 2]
+
+Before: [1, 0, 0, 2]
+12 0 1 1
+After:  [1, 1, 0, 2]
+
+Before: [1, 0, 0, 2]
+12 0 1 2
+After:  [1, 0, 1, 2]
+
+Before: [0, 2, 1, 2]
+5 0 3 1
+After:  [0, 0, 1, 2]
+
+Before: [0, 0, 3, 3]
+5 0 3 2
+After:  [0, 0, 0, 3]
+
+Before: [0, 1, 1, 0]
+1 2 3 0
+After:  [3, 1, 1, 0]
+
+Before: [0, 1, 1, 2]
+5 0 3 3
+After:  [0, 1, 1, 0]
+
+Before: [3, 3, 2, 0]
+10 0 2 0
+After:  [2, 3, 2, 0]
+
+Before: [1, 0, 0, 1]
+12 0 1 2
+After:  [1, 0, 1, 1]
+
+Before: [1, 3, 1, 1]
+9 0 1 3
+After:  [1, 3, 1, 1]
+
+Before: [1, 0, 2, 1]
+14 3 2 1
+After:  [1, 3, 2, 1]
+
+Before: [0, 0, 1, 1]
+5 0 2 3
+After:  [0, 0, 1, 0]
+
+Before: [2, 3, 2, 3]
+3 3 3 1
+After:  [2, 3, 2, 3]
+
+Before: [1, 2, 2, 0]
+2 2 3 3
+After:  [1, 2, 2, 3]
+
+Before: [3, 3, 1, 0]
+9 2 1 1
+After:  [3, 1, 1, 0]
+
+Before: [1, 0, 3, 3]
+12 0 1 0
+After:  [1, 0, 3, 3]
+
+Before: [3, 0, 3, 0]
+10 2 2 2
+After:  [3, 0, 2, 0]
+
+Before: [2, 2, 3, 2]
+0 2 3 0
+After:  [2, 2, 3, 2]
+
+Before: [2, 0, 0, 2]
+2 0 3 2
+After:  [2, 0, 3, 2]
+
+Before: [2, 1, 2, 3]
+11 2 2 2
+After:  [2, 1, 4, 3]
+
+Before: [3, 3, 2, 2]
+2 2 3 1
+After:  [3, 3, 2, 2]
+
+Before: [0, 0, 2, 1]
+11 2 2 2
+After:  [0, 0, 4, 1]
+
+Before: [0, 3, 3, 1]
+14 3 2 1
+After:  [0, 3, 3, 1]
+
+Before: [3, 2, 0, 2]
+13 0 3 2
+After:  [3, 2, 6, 2]
+
+Before: [2, 2, 2, 0]
+4 2 1 0
+After:  [3, 2, 2, 0]
+
+Before: [3, 0, 1, 1]
+15 2 1 3
+After:  [3, 0, 1, 1]
+
+Before: [2, 1, 3, 2]
+0 2 0 1
+After:  [2, 2, 3, 2]
+
+Before: [1, 3, 1, 0]
+9 0 1 0
+After:  [1, 3, 1, 0]
+
+Before: [1, 1, 1, 0]
+4 1 2 3
+After:  [1, 1, 1, 3]
+
+Before: [1, 1, 2, 0]
+7 3 1 3
+After:  [1, 1, 2, 1]
+
+Before: [2, 3, 1, 3]
+9 2 1 3
+After:  [2, 3, 1, 1]
+
+Before: [3, 3, 1, 0]
+9 2 1 3
+After:  [3, 3, 1, 1]
+
+Before: [2, 3, 2, 3]
+3 3 1 3
+After:  [2, 3, 2, 3]
+
+Before: [3, 1, 2, 2]
+8 2 1 2
+After:  [3, 1, 3, 2]
+
+Before: [0, 0, 1, 0]
+15 2 1 2
+After:  [0, 0, 1, 0]
+
+Before: [1, 0, 2, 2]
+4 1 3 1
+After:  [1, 3, 2, 2]
+
+Before: [0, 3, 2, 1]
+5 0 1 2
+After:  [0, 3, 0, 1]
+
+Before: [1, 3, 0, 3]
+9 0 1 3
+After:  [1, 3, 0, 1]
+
+Before: [1, 2, 3, 2]
+1 3 2 0
+After:  [4, 2, 3, 2]
+
+Before: [1, 1, 0, 0]
+4 0 2 0
+After:  [3, 1, 0, 0]
+
+Before: [1, 0, 1, 0]
+4 1 2 1
+After:  [1, 2, 1, 0]
+
+Before: [1, 3, 3, 2]
+10 2 2 0
+After:  [2, 3, 3, 2]
+
+Before: [3, 2, 3, 2]
+2 1 3 2
+After:  [3, 2, 3, 2]
+
+Before: [1, 2, 1, 1]
+9 3 1 3
+After:  [1, 2, 1, 1]
+
+Before: [0, 1, 2, 2]
+14 3 1 0
+After:  [3, 1, 2, 2]
+
+Before: [3, 3, 0, 2]
+13 1 3 0
+After:  [6, 3, 0, 2]
+
+Before: [3, 0, 2, 0]
+1 0 2 3
+After:  [3, 0, 2, 6]
+
+Before: [0, 3, 3, 2]
+13 2 3 1
+After:  [0, 6, 3, 2]
+
+Before: [1, 0, 3, 1]
+12 0 1 0
+After:  [1, 0, 3, 1]
+
+Before: [0, 0, 0, 1]
+4 0 3 2
+After:  [0, 0, 3, 1]
+
+Before: [2, 0, 1, 1]
+15 3 1 3
+After:  [2, 0, 1, 1]
+
+Before: [3, 0, 2, 1]
+15 3 1 2
+After:  [3, 0, 1, 1]
+
+Before: [3, 3, 2, 3]
+1 3 2 3
+After:  [3, 3, 2, 6]
+
+Before: [2, 1, 1, 3]
+8 2 3 2
+After:  [2, 1, 3, 3]
+
+Before: [0, 0, 1, 3]
+15 2 1 2
+After:  [0, 0, 1, 3]
+
+Before: [3, 1, 3, 1]
+10 2 2 2
+After:  [3, 1, 2, 1]
+
+Before: [2, 3, 1, 0]
+9 2 1 2
+After:  [2, 3, 1, 0]
+
+Before: [0, 0, 2, 2]
+6 0 0 3
+After:  [0, 0, 2, 0]
+
+Before: [0, 0, 2, 0]
+8 0 2 0
+After:  [2, 0, 2, 0]
+
+Before: [0, 0, 2, 1]
+3 2 2 1
+After:  [0, 2, 2, 1]
+
+Before: [3, 2, 2, 0]
+2 2 3 0
+After:  [3, 2, 2, 0]
+
+Before: [3, 2, 3, 2]
+0 2 3 3
+After:  [3, 2, 3, 2]
+
+Before: [2, 0, 2, 3]
+11 2 2 3
+After:  [2, 0, 2, 4]
+
+Before: [1, 2, 2, 2]
+11 2 2 3
+After:  [1, 2, 2, 4]
+
+Before: [0, 1, 0, 1]
+8 0 1 2
+After:  [0, 1, 1, 1]
+
+Before: [1, 0, 1, 2]
+15 2 1 2
+After:  [1, 0, 1, 2]
+
+Before: [1, 2, 1, 1]
+9 3 1 2
+After:  [1, 2, 1, 1]
+
+Before: [3, 1, 3, 0]
+7 3 1 1
+After:  [3, 1, 3, 0]
+
+Before: [0, 1, 1, 3]
+8 1 3 0
+After:  [3, 1, 1, 3]
+
+Before: [2, 2, 3, 0]
+0 2 1 0
+After:  [2, 2, 3, 0]
+
+Before: [2, 0, 0, 3]
+5 1 0 3
+After:  [2, 0, 0, 0]
+
+Before: [2, 0, 2, 2]
+2 2 3 0
+After:  [3, 0, 2, 2]
+
+Before: [0, 2, 3, 3]
+10 2 2 0
+After:  [2, 2, 3, 3]
+
+Before: [3, 0, 1, 2]
+15 2 1 3
+After:  [3, 0, 1, 1]
+
+Before: [3, 1, 2, 0]
+2 2 3 1
+After:  [3, 3, 2, 0]
+
+Before: [0, 1, 3, 2]
+4 0 2 1
+After:  [0, 2, 3, 2]
+
+Before: [1, 0, 0, 3]
+12 0 1 3
+After:  [1, 0, 0, 1]
+
+Before: [2, 2, 3, 3]
+0 2 1 0
+After:  [2, 2, 3, 3]
+
+Before: [0, 1, 1, 1]
+5 0 1 3
+After:  [0, 1, 1, 0]
+
+Before: [1, 0, 1, 2]
+15 2 1 0
+After:  [1, 0, 1, 2]
+
+Before: [2, 1, 3, 0]
+10 2 2 2
+After:  [2, 1, 2, 0]
+
+Before: [0, 2, 3, 2]
+1 1 2 3
+After:  [0, 2, 3, 4]
+
+Before: [1, 1, 0, 1]
+7 2 1 0
+After:  [1, 1, 0, 1]
+
+Before: [0, 3, 1, 0]
+6 0 0 0
+After:  [0, 3, 1, 0]
+
+Before: [3, 1, 0, 0]
+7 3 1 3
+After:  [3, 1, 0, 1]
+
+Before: [1, 0, 1, 3]
+12 0 1 0
+After:  [1, 0, 1, 3]
+
+Before: [1, 0, 1, 1]
+12 0 1 2
+After:  [1, 0, 1, 1]
+
+Before: [0, 3, 3, 3]
+1 1 3 0
+After:  [9, 3, 3, 3]
+
+Before: [3, 0, 3, 2]
+5 1 0 0
+After:  [0, 0, 3, 2]
+
+Before: [1, 2, 1, 1]
+13 3 1 2
+After:  [1, 2, 2, 1]
+
+Before: [1, 3, 0, 3]
+9 0 1 1
+After:  [1, 1, 0, 3]
+
+Before: [0, 3, 2, 3]
+8 0 2 1
+After:  [0, 2, 2, 3]
+
+Before: [2, 1, 0, 1]
+7 2 1 0
+After:  [1, 1, 0, 1]
+
+Before: [0, 0, 3, 2]
+6 0 0 2
+After:  [0, 0, 0, 2]
+
+Before: [0, 3, 0, 2]
+4 2 1 0
+After:  [1, 3, 0, 2]
+
+Before: [0, 1, 2, 1]
+5 0 3 3
+After:  [0, 1, 2, 0]
+
+Before: [2, 3, 1, 2]
+9 2 1 0
+After:  [1, 3, 1, 2]
+
+Before: [0, 3, 1, 2]
+9 2 1 3
+After:  [0, 3, 1, 1]
+
+Before: [0, 2, 1, 2]
+4 0 1 2
+After:  [0, 2, 1, 2]
+
+Before: [1, 0, 2, 2]
+12 0 1 1
+After:  [1, 1, 2, 2]
+
+Before: [3, 3, 1, 2]
+9 2 1 3
+After:  [3, 3, 1, 1]
+
+Before: [2, 2, 0, 2]
+2 0 3 2
+After:  [2, 2, 3, 2]
+
+Before: [3, 2, 2, 0]
+1 0 2 2
+After:  [3, 2, 6, 0]
+
+Before: [0, 3, 2, 0]
+2 2 3 2
+After:  [0, 3, 3, 0]
+
+Before: [1, 2, 3, 2]
+0 2 3 0
+After:  [2, 2, 3, 2]
+
+Before: [0, 1, 2, 3]
+3 3 0 2
+After:  [0, 1, 3, 3]
+
+Before: [0, 3, 1, 2]
+6 0 0 1
+After:  [0, 0, 1, 2]
+
+Before: [1, 2, 2, 0]
+2 2 3 1
+After:  [1, 3, 2, 0]
+
+Before: [1, 3, 1, 0]
+9 2 1 3
+After:  [1, 3, 1, 1]
+
+Before: [2, 1, 0, 0]
+4 1 2 0
+After:  [3, 1, 0, 0]
+
+Before: [0, 1, 3, 2]
+8 0 1 2
+After:  [0, 1, 1, 2]
+
+Before: [0, 2, 3, 2]
+1 3 2 2
+After:  [0, 2, 4, 2]
+
+Before: [0, 1, 0, 0]
+7 2 1 1
+After:  [0, 1, 0, 0]
+
+Before: [0, 2, 3, 1]
+0 2 1 2
+After:  [0, 2, 2, 1]
+
+Before: [3, 3, 2, 2]
+11 2 2 0
+After:  [4, 3, 2, 2]
+
+Before: [3, 0, 0, 3]
+1 0 3 3
+After:  [3, 0, 0, 9]
+
+Before: [1, 1, 0, 3]
+7 2 1 0
+After:  [1, 1, 0, 3]
+
+Before: [3, 1, 0, 2]
+7 2 1 0
+After:  [1, 1, 0, 2]
+
+Before: [1, 0, 2, 0]
+2 2 3 0
+After:  [3, 0, 2, 0]
+
+Before: [2, 1, 0, 0]
+7 3 1 2
+After:  [2, 1, 1, 0]
+
+Before: [2, 2, 1, 2]
+1 3 2 3
+After:  [2, 2, 1, 4]
+
+Before: [2, 0, 3, 0]
+0 2 0 0
+After:  [2, 0, 3, 0]
+
+Before: [3, 0, 3, 2]
+0 2 3 3
+After:  [3, 0, 3, 2]
+
+Before: [0, 1, 2, 2]
+11 3 2 0
+After:  [4, 1, 2, 2]
+
+Before: [1, 1, 2, 0]
+7 3 1 0
+After:  [1, 1, 2, 0]
+
+Before: [0, 1, 2, 0]
+2 2 3 2
+After:  [0, 1, 3, 0]
+
+Before: [2, 0, 1, 1]
+1 0 2 3
+After:  [2, 0, 1, 4]
+
+Before: [0, 1, 3, 1]
+5 0 2 2
+After:  [0, 1, 0, 1]
+
+Before: [0, 2, 2, 0]
+2 2 3 3
+After:  [0, 2, 2, 3]
+
+Before: [1, 3, 0, 3]
+9 0 1 2
+After:  [1, 3, 1, 3]
+
+Before: [2, 0, 3, 3]
+10 2 2 1
+After:  [2, 2, 3, 3]
+
+Before: [2, 2, 3, 1]
+0 2 1 1
+After:  [2, 2, 3, 1]
+
+Before: [0, 0, 1, 2]
+6 0 0 2
+After:  [0, 0, 0, 2]
+
+Before: [0, 0, 2, 3]
+10 3 2 2
+After:  [0, 0, 2, 3]
+
+Before: [3, 2, 2, 1]
+3 2 2 3
+After:  [3, 2, 2, 2]
+
+Before: [0, 0, 0, 2]
+1 3 2 1
+After:  [0, 4, 0, 2]
+
+Before: [1, 0, 3, 3]
+12 0 1 3
+After:  [1, 0, 3, 1]
+
+Before: [2, 1, 2, 2]
+11 0 2 1
+After:  [2, 4, 2, 2]
+
+Before: [1, 3, 2, 3]
+10 3 2 1
+After:  [1, 2, 2, 3]
+
+Before: [0, 0, 1, 2]
+5 0 3 3
+After:  [0, 0, 1, 0]
+
+Before: [0, 0, 2, 0]
+11 2 2 3
+After:  [0, 0, 2, 4]
+
+Before: [1, 1, 2, 0]
+11 2 2 0
+After:  [4, 1, 2, 0]
+
+Before: [3, 1, 1, 3]
+3 3 3 2
+After:  [3, 1, 3, 3]
+
+Before: [1, 3, 0, 2]
+13 1 3 2
+After:  [1, 3, 6, 2]
+
+Before: [1, 1, 0, 0]
+1 0 3 0
+After:  [3, 1, 0, 0]
+
+Before: [1, 0, 1, 1]
+12 0 1 3
+After:  [1, 0, 1, 1]
+
+Before: [1, 0, 3, 2]
+12 0 1 3
+After:  [1, 0, 3, 1]
+
+Before: [0, 0, 3, 3]
+10 2 2 0
+After:  [2, 0, 3, 3]
+
+Before: [0, 2, 3, 3]
+0 2 1 3
+After:  [0, 2, 3, 2]
+
+Before: [2, 2, 1, 1]
+9 3 1 0
+After:  [1, 2, 1, 1]
+
+Before: [1, 3, 3, 2]
+10 2 2 1
+After:  [1, 2, 3, 2]
+
+Before: [1, 3, 1, 3]
+3 3 0 3
+After:  [1, 3, 1, 3]
+
+Before: [0, 0, 2, 3]
+6 0 0 2
+After:  [0, 0, 0, 3]
+
+Before: [1, 1, 1, 0]
+7 3 1 2
+After:  [1, 1, 1, 0]
+
+Before: [1, 1, 0, 1]
+7 2 1 3
+After:  [1, 1, 0, 1]
+
+Before: [3, 3, 0, 0]
+4 3 2 0
+After:  [2, 3, 0, 0]
+
+Before: [2, 1, 1, 1]
+4 1 2 3
+After:  [2, 1, 1, 3]
+
+Before: [3, 0, 2, 3]
+4 2 1 3
+After:  [3, 0, 2, 3]
+
+Before: [1, 0, 2, 0]
+4 2 1 2
+After:  [1, 0, 3, 0]
+
+Before: [1, 0, 1, 2]
+12 0 1 1
+After:  [1, 1, 1, 2]
+
+Before: [0, 1, 0, 0]
+5 0 1 0
+After:  [0, 1, 0, 0]
+
+Before: [1, 1, 2, 0]
+7 3 1 1
+After:  [1, 1, 2, 0]
+
+Before: [0, 2, 1, 0]
+2 1 3 0
+After:  [3, 2, 1, 0]
+
+Before: [2, 1, 2, 0]
+2 0 3 1
+After:  [2, 3, 2, 0]
+
+Before: [0, 3, 2, 2]
+10 1 2 3
+After:  [0, 3, 2, 2]
+
+Before: [1, 0, 0, 0]
+12 0 1 0
+After:  [1, 0, 0, 0]
+
+Before: [2, 1, 0, 2]
+14 3 1 0
+After:  [3, 1, 0, 2]
+
+Before: [3, 2, 2, 1]
+9 3 1 2
+After:  [3, 2, 1, 1]
+
+Before: [1, 0, 1, 2]
+15 2 1 1
+After:  [1, 1, 1, 2]
+
+Before: [2, 0, 1, 1]
+15 2 1 1
+After:  [2, 1, 1, 1]
+
+Before: [3, 0, 3, 3]
+3 3 3 0
+After:  [3, 0, 3, 3]
+
+Before: [1, 1, 1, 0]
+1 1 3 1
+After:  [1, 3, 1, 0]
+
+Before: [2, 2, 0, 1]
+9 3 1 1
+After:  [2, 1, 0, 1]
+
+Before: [1, 3, 1, 2]
+9 2 1 3
+After:  [1, 3, 1, 1]
+
+Before: [0, 3, 1, 1]
+6 0 0 2
+After:  [0, 3, 0, 1]
+
+Before: [3, 1, 3, 1]
+8 1 2 2
+After:  [3, 1, 3, 1]
+
+Before: [1, 2, 2, 1]
+4 1 1 1
+After:  [1, 3, 2, 1]
+
+Before: [2, 3, 3, 0]
+0 2 0 0
+After:  [2, 3, 3, 0]
+
+Before: [0, 2, 1, 1]
+9 3 1 1
+After:  [0, 1, 1, 1]
+
+Before: [0, 3, 3, 0]
+5 0 1 2
+After:  [0, 3, 0, 0]
+
+Before: [0, 3, 1, 0]
+9 2 1 1
+After:  [0, 1, 1, 0]
+
+Before: [3, 2, 3, 2]
+2 1 3 3
+After:  [3, 2, 3, 3]
+
+Before: [1, 1, 2, 2]
+11 3 2 3
+After:  [1, 1, 2, 4]
+
+Before: [0, 3, 3, 3]
+5 0 2 0
+After:  [0, 3, 3, 3]
+
+Before: [1, 0, 2, 2]
+11 2 2 1
+After:  [1, 4, 2, 2]
+
+Before: [3, 2, 3, 1]
+14 3 2 0
+After:  [3, 2, 3, 1]
+
+Before: [0, 3, 2, 0]
+6 0 0 0
+After:  [0, 3, 2, 0]
+
+Before: [1, 1, 1, 3]
+3 3 1 2
+After:  [1, 1, 3, 3]
+
+Before: [3, 1, 3, 2]
+0 2 3 3
+After:  [3, 1, 3, 2]
+
+Before: [2, 1, 2, 2]
+2 2 3 3
+After:  [2, 1, 2, 3]
+
+Before: [0, 3, 0, 3]
+6 0 0 3
+After:  [0, 3, 0, 0]
+
+Before: [0, 2, 2, 3]
+6 0 0 2
+After:  [0, 2, 0, 3]
+
+Before: [0, 1, 3, 3]
+6 0 0 2
+After:  [0, 1, 0, 3]
+
+Before: [1, 1, 2, 2]
+8 2 1 2
+After:  [1, 1, 3, 2]
+
+Before: [2, 2, 1, 1]
+1 2 3 2
+After:  [2, 2, 3, 1]
+
+Before: [2, 0, 1, 2]
+15 2 1 2
+After:  [2, 0, 1, 2]
+
+Before: [2, 1, 2, 3]
+1 3 3 2
+After:  [2, 1, 9, 3]
+
+Before: [0, 1, 0, 0]
+7 2 1 2
+After:  [0, 1, 1, 0]
+
+Before: [2, 1, 0, 3]
+8 2 3 0
+After:  [3, 1, 0, 3]
+
+Before: [0, 3, 2, 1]
+14 3 2 0
+After:  [3, 3, 2, 1]
+
+Before: [2, 0, 1, 2]
+15 2 1 0
+After:  [1, 0, 1, 2]
+
+Before: [1, 2, 2, 1]
+13 3 1 3
+After:  [1, 2, 2, 2]
+
+Before: [1, 0, 1, 0]
+12 0 1 0
+After:  [1, 0, 1, 0]
+
+Before: [2, 2, 3, 0]
+0 2 1 3
+After:  [2, 2, 3, 2]
+
+Before: [0, 0, 1, 1]
+15 2 1 3
+After:  [0, 0, 1, 1]
+
+Before: [0, 3, 0, 3]
+3 3 0 0
+After:  [3, 3, 0, 3]
+
+Before: [2, 2, 2, 1]
+11 2 2 2
+After:  [2, 2, 4, 1]
+
+Before: [2, 1, 2, 0]
+2 0 3 0
+After:  [3, 1, 2, 0]
+
+Before: [1, 2, 2, 0]
+13 0 1 0
+After:  [2, 2, 2, 0]
+
+Before: [1, 0, 3, 0]
+12 0 1 1
+After:  [1, 1, 3, 0]
+
+Before: [3, 1, 0, 3]
+5 2 0 3
+After:  [3, 1, 0, 0]
+
+Before: [1, 2, 1, 0]
+1 2 3 0
+After:  [3, 2, 1, 0]
+
+Before: [0, 1, 3, 2]
+13 2 3 0
+After:  [6, 1, 3, 2]
+
+Before: [1, 0, 1, 2]
+12 0 1 0
+After:  [1, 0, 1, 2]
+
+Before: [0, 0, 1, 1]
+1 2 3 3
+After:  [0, 0, 1, 3]
+
+Before: [1, 3, 0, 2]
+9 0 1 2
+After:  [1, 3, 1, 2]
+
+Before: [2, 3, 2, 2]
+11 3 2 0
+After:  [4, 3, 2, 2]
+
+Before: [2, 2, 3, 1]
+10 2 2 0
+After:  [2, 2, 3, 1]
+
+Before: [3, 0, 3, 2]
+10 2 2 3
+After:  [3, 0, 3, 2]
+
+Before: [2, 1, 2, 2]
+11 3 2 2
+After:  [2, 1, 4, 2]
+
+Before: [0, 3, 3, 1]
+10 2 2 1
+After:  [0, 2, 3, 1]
+
+Before: [0, 0, 2, 1]
+15 3 1 3
+After:  [0, 0, 2, 1]
+
+Before: [1, 2, 3, 2]
+13 2 3 1
+After:  [1, 6, 3, 2]
+
+Before: [2, 3, 2, 1]
+14 3 2 2
+After:  [2, 3, 3, 1]
+
+Before: [1, 0, 1, 3]
+12 0 1 2
+After:  [1, 0, 1, 3]
+
+Before: [0, 2, 2, 3]
+8 0 3 0
+After:  [3, 2, 2, 3]
+
+Before: [0, 1, 1, 2]
+14 3 1 3
+After:  [0, 1, 1, 3]
+
+Before: [1, 3, 3, 2]
+9 0 1 2
+After:  [1, 3, 1, 2]
+
+Before: [2, 2, 2, 1]
+11 2 2 1
+After:  [2, 4, 2, 1]
+
+Before: [1, 3, 3, 3]
+9 0 1 0
+After:  [1, 3, 3, 3]
+
+Before: [3, 3, 2, 1]
+1 3 2 0
+After:  [2, 3, 2, 1]
+
+Before: [0, 1, 3, 1]
+14 3 2 3
+After:  [0, 1, 3, 3]
+
+Before: [2, 0, 3, 3]
+0 2 0 0
+After:  [2, 0, 3, 3]
+
+Before: [3, 2, 3, 2]
+13 2 3 0
+After:  [6, 2, 3, 2]
+
+Before: [2, 3, 2, 1]
+11 2 2 2
+After:  [2, 3, 4, 1]
+
+Before: [3, 0, 0, 2]
+5 2 0 2
+After:  [3, 0, 0, 2]
+
+Before: [1, 1, 1, 3]
+3 3 3 1
+After:  [1, 3, 1, 3]
+
+Before: [2, 1, 2, 0]
+3 2 0 0
+After:  [2, 1, 2, 0]
+
+Before: [0, 3, 1, 3]
+6 0 0 0
+After:  [0, 3, 1, 3]
+
+Before: [2, 1, 0, 0]
+2 0 3 3
+After:  [2, 1, 0, 3]
+
+Before: [0, 1, 0, 3]
+5 0 1 3
+After:  [0, 1, 0, 0]
+
+Before: [3, 0, 2, 1]
+15 3 1 0
+After:  [1, 0, 2, 1]
+
+Before: [2, 2, 2, 2]
+2 1 3 0
+After:  [3, 2, 2, 2]
+
+Before: [2, 1, 0, 2]
+14 3 1 3
+After:  [2, 1, 0, 3]
+
+Before: [0, 0, 2, 1]
+11 2 2 3
+After:  [0, 0, 2, 4]
+
+Before: [2, 3, 1, 2]
+9 2 1 3
+After:  [2, 3, 1, 1]
+
+Before: [0, 3, 1, 1]
+6 0 0 3
+After:  [0, 3, 1, 0]
+
+
+
+1 0 0 1
+4 1 1 1
+14 0 0 3
+14 3 2 2
+12 3 2 1
+1 1 2 1
+11 1 0 0
+3 0 2 1
+14 2 2 0
+9 0 2 0
+1 0 2 0
+11 0 1 1
+3 1 2 3
+1 1 0 0
+4 0 1 0
+14 1 1 1
+14 2 0 2
+3 0 2 2
+1 2 1 2
+11 2 3 3
+3 3 2 0
+14 1 3 3
+14 3 1 1
+14 3 0 2
+4 3 1 3
+1 3 3 3
+11 3 0 0
+14 2 0 2
+14 0 0 3
+7 3 2 3
+1 3 2 3
+11 3 0 0
+3 0 3 3
+14 2 3 0
+14 3 0 2
+14 0 1 1
+14 2 1 1
+1 1 3 1
+1 1 2 1
+11 1 3 3
+3 3 2 1
+1 3 0 2
+4 2 0 2
+14 2 2 3
+5 0 3 3
+1 3 3 3
+11 3 1 1
+3 1 0 0
+14 2 1 2
+14 3 2 1
+14 2 0 3
+0 1 3 3
+1 3 2 3
+11 0 3 0
+3 0 0 2
+14 1 3 3
+14 3 3 0
+4 3 1 0
+1 0 2 0
+1 0 2 0
+11 2 0 2
+14 0 1 0
+1 0 0 1
+4 1 1 1
+1 1 0 3
+4 3 2 3
+13 1 3 3
+1 3 2 3
+11 2 3 2
+14 3 3 1
+1 1 0 3
+4 3 2 3
+14 2 1 0
+14 3 0 1
+1 1 3 1
+11 1 2 2
+3 2 2 0
+14 3 3 2
+14 2 3 1
+14 1 0 3
+1 3 2 1
+1 1 1 1
+11 0 1 0
+14 2 3 2
+14 2 3 3
+14 0 3 1
+2 2 3 2
+1 2 1 2
+1 2 1 2
+11 0 2 0
+3 0 1 1
+1 2 0 2
+4 2 0 2
+14 2 3 0
+14 3 2 3
+0 3 0 2
+1 2 1 2
+11 2 1 1
+3 1 1 0
+14 0 1 1
+14 3 3 2
+1 1 0 3
+4 3 1 3
+4 3 1 1
+1 1 1 1
+11 1 0 0
+3 0 3 1
+14 2 0 3
+14 0 1 2
+14 2 2 0
+5 0 3 0
+1 0 2 0
+11 0 1 1
+3 1 0 3
+14 2 1 0
+14 3 2 2
+1 1 0 1
+4 1 2 1
+9 0 2 0
+1 0 1 0
+1 0 2 0
+11 0 3 3
+3 3 0 1
+14 2 1 3
+14 0 2 2
+1 3 0 0
+4 0 2 0
+12 2 3 2
+1 2 2 2
+11 2 1 1
+14 3 2 2
+14 0 0 3
+9 0 2 3
+1 3 3 3
+1 3 2 3
+11 1 3 1
+3 1 1 2
+14 1 2 3
+14 2 1 1
+14 3 0 0
+0 0 1 3
+1 3 1 3
+11 3 2 2
+14 1 3 3
+14 2 0 0
+15 0 3 1
+1 1 3 1
+11 1 2 2
+1 0 0 1
+4 1 3 1
+14 2 2 3
+6 0 1 1
+1 1 3 1
+11 2 1 2
+3 2 0 1
+14 2 0 2
+14 1 3 0
+2 2 3 3
+1 3 3 3
+11 3 1 1
+14 1 3 3
+14 2 1 0
+1 1 0 2
+4 2 3 2
+15 0 3 0
+1 0 3 0
+1 0 2 0
+11 0 1 1
+14 3 0 0
+1 3 0 3
+4 3 0 3
+12 3 2 3
+1 3 3 3
+1 3 2 3
+11 3 1 1
+14 2 1 0
+1 1 0 3
+4 3 3 3
+1 2 0 2
+4 2 1 2
+0 3 0 0
+1 0 3 0
+11 0 1 1
+14 2 1 0
+14 2 1 3
+5 0 3 3
+1 3 3 3
+1 3 3 3
+11 1 3 1
+14 2 3 3
+14 0 0 2
+14 3 0 0
+12 2 3 0
+1 0 3 0
+11 0 1 1
+3 1 2 2
+14 3 1 3
+14 3 1 1
+1 1 0 0
+4 0 2 0
+6 0 1 1
+1 1 2 1
+11 1 2 2
+3 2 0 1
+14 2 0 3
+1 3 0 0
+4 0 1 0
+14 0 2 2
+11 0 0 3
+1 3 1 3
+11 3 1 1
+3 1 1 2
+1 1 0 0
+4 0 2 0
+14 3 0 3
+14 0 2 1
+14 1 3 1
+1 1 2 1
+1 1 2 1
+11 1 2 2
+3 2 3 0
+14 3 0 2
+14 1 2 1
+14 1 2 3
+11 3 3 2
+1 2 3 2
+11 0 2 0
+3 0 0 1
+14 1 1 2
+14 2 0 0
+13 3 0 3
+1 3 3 3
+11 3 1 1
+3 1 0 3
+14 3 2 1
+14 1 2 0
+14 3 3 2
+4 0 1 1
+1 1 2 1
+11 3 1 3
+3 3 0 1
+14 2 0 0
+14 0 3 3
+8 0 2 0
+1 0 1 0
+11 1 0 1
+3 1 2 2
+14 3 0 3
+14 2 1 1
+14 2 2 0
+0 3 0 0
+1 0 3 0
+11 0 2 2
+3 2 2 3
+14 3 3 0
+14 2 0 2
+6 2 0 2
+1 2 1 2
+11 2 3 3
+3 3 0 0
+14 0 2 2
+1 1 0 3
+4 3 0 3
+14 3 2 1
+10 1 2 2
+1 2 1 2
+11 2 0 0
+3 0 2 2
+1 3 0 1
+4 1 1 1
+14 2 0 0
+1 2 0 3
+4 3 1 3
+15 0 3 0
+1 0 1 0
+11 2 0 2
+3 2 0 1
+14 2 0 2
+14 3 1 0
+6 2 0 3
+1 3 1 3
+11 1 3 1
+3 1 3 2
+14 2 0 3
+14 0 0 1
+0 0 3 1
+1 1 3 1
+11 2 1 2
+3 2 2 1
+14 2 2 0
+14 3 3 2
+5 0 3 3
+1 3 3 3
+1 3 3 3
+11 3 1 1
+14 3 3 3
+14 1 0 0
+1 0 2 0
+1 0 2 0
+11 1 0 1
+14 2 3 3
+14 0 3 2
+14 3 1 0
+9 2 0 3
+1 3 1 3
+11 1 3 1
+1 0 0 2
+4 2 3 2
+14 0 0 3
+12 3 2 0
+1 0 2 0
+11 1 0 1
+14 1 3 0
+14 2 3 2
+14 3 2 3
+3 0 2 0
+1 0 1 0
+11 0 1 1
+3 1 0 0
+14 1 2 1
+14 1 3 3
+14 3 0 2
+1 3 2 1
+1 1 3 1
+11 1 0 0
+3 0 3 2
+1 2 0 1
+4 1 2 1
+14 0 0 3
+1 3 0 0
+4 0 3 0
+2 1 3 1
+1 1 3 1
+11 2 1 2
+3 2 0 1
+14 2 2 0
+14 2 2 3
+1 3 0 2
+4 2 3 2
+5 0 3 0
+1 0 1 0
+11 1 0 1
+3 1 0 3
+1 3 0 2
+4 2 2 2
+14 3 2 0
+1 2 0 1
+4 1 0 1
+6 2 0 1
+1 1 1 1
+1 1 1 1
+11 3 1 3
+3 3 3 1
+14 0 3 0
+14 0 1 2
+14 2 3 3
+12 2 3 3
+1 3 2 3
+11 1 3 1
+3 1 3 0
+14 3 3 3
+14 3 2 1
+10 3 2 1
+1 1 3 1
+1 1 3 1
+11 0 1 0
+3 0 3 2
+14 0 2 1
+14 2 0 0
+14 1 3 3
+15 0 3 0
+1 0 3 0
+11 0 2 2
+3 2 3 0
+14 2 0 2
+14 2 3 3
+14 2 0 1
+2 2 3 2
+1 2 1 2
+11 0 2 0
+3 0 3 1
+14 2 2 2
+14 3 2 0
+2 2 3 3
+1 3 2 3
+11 1 3 1
+14 2 2 0
+14 1 3 3
+14 3 2 2
+9 0 2 0
+1 0 2 0
+11 0 1 1
+14 2 1 0
+9 0 2 3
+1 3 1 3
+11 1 3 1
+14 1 2 3
+1 1 0 0
+4 0 1 0
+1 3 2 3
+1 3 1 3
+11 1 3 1
+3 1 3 0
+1 2 0 1
+4 1 1 1
+14 2 2 2
+14 0 3 3
+7 3 2 3
+1 3 1 3
+11 3 0 0
+3 0 2 2
+14 2 0 1
+14 0 3 3
+14 3 1 0
+8 1 0 3
+1 3 2 3
+11 3 2 2
+3 2 1 1
+14 2 1 3
+14 0 0 2
+14 0 0 0
+12 2 3 0
+1 0 2 0
+11 0 1 1
+3 1 0 0
+14 2 2 2
+1 1 0 3
+4 3 0 3
+14 0 1 1
+7 3 2 1
+1 1 1 1
+11 1 0 0
+3 0 1 1
+14 2 2 3
+14 3 0 2
+14 2 2 0
+9 0 2 3
+1 3 2 3
+1 3 3 3
+11 3 1 1
+3 1 0 0
+14 1 0 3
+1 1 0 1
+4 1 3 1
+14 1 3 2
+10 1 2 1
+1 1 2 1
+11 1 0 0
+3 0 0 1
+1 3 0 3
+4 3 0 3
+14 0 2 0
+14 3 2 0
+1 0 3 0
+11 0 1 1
+3 1 2 0
+14 1 2 3
+14 0 0 1
+11 3 3 1
+1 1 2 1
+1 1 3 1
+11 0 1 0
+3 0 0 3
+14 2 3 0
+1 1 0 1
+4 1 2 1
+14 3 3 2
+9 0 2 2
+1 2 1 2
+11 2 3 3
+3 3 0 1
+14 0 2 3
+14 0 0 0
+1 2 0 2
+4 2 2 2
+7 3 2 2
+1 2 2 2
+11 2 1 1
+3 1 0 2
+14 3 0 1
+14 3 2 0
+14 2 2 3
+0 0 3 0
+1 0 3 0
+11 0 2 2
+3 2 2 1
+14 1 0 3
+14 2 1 0
+14 0 3 2
+15 0 3 2
+1 2 1 2
+11 1 2 1
+1 1 0 2
+4 2 0 2
+15 0 3 0
+1 0 1 0
+11 1 0 1
+14 3 3 0
+14 0 1 3
+14 2 2 2
+7 3 2 0
+1 0 2 0
+11 1 0 1
+3 1 0 3
+1 1 0 2
+4 2 0 2
+14 3 0 0
+14 1 1 1
+1 1 2 2
+1 2 3 2
+11 2 3 3
+3 3 1 1
+14 2 0 0
+14 0 1 3
+14 2 1 2
+7 3 2 0
+1 0 3 0
+11 0 1 1
+3 1 2 3
+14 0 0 1
+14 1 1 0
+3 0 2 0
+1 0 2 0
+1 0 2 0
+11 3 0 3
+3 3 0 2
+14 1 0 1
+14 2 3 3
+14 2 2 0
+5 0 3 1
+1 1 1 1
+11 2 1 2
+3 2 0 1
+14 3 0 2
+9 0 2 0
+1 0 2 0
+11 1 0 1
+3 1 3 3
+14 2 1 0
+1 3 0 2
+4 2 2 2
+14 3 2 1
+6 2 1 1
+1 1 2 1
+11 1 3 3
+3 3 0 1
+1 2 0 3
+4 3 0 3
+14 1 3 0
+3 0 2 2
+1 2 3 2
+1 2 1 2
+11 2 1 1
+3 1 1 2
+14 2 2 3
+14 3 3 1
+1 0 0 0
+4 0 3 0
+0 1 3 0
+1 0 1 0
+11 0 2 2
+3 2 3 1
+14 0 1 2
+14 3 1 0
+14 1 3 3
+1 3 2 0
+1 0 1 0
+11 1 0 1
+14 2 0 3
+14 3 2 2
+14 2 3 0
+5 0 3 2
+1 2 2 2
+11 2 1 1
+3 1 2 0
+14 3 3 1
+14 0 3 2
+12 2 3 3
+1 3 1 3
+1 3 3 3
+11 3 0 0
+3 0 2 2
+14 0 0 1
+14 2 3 0
+14 1 2 3
+15 0 3 3
+1 3 3 3
+11 2 3 2
+3 2 0 1
+14 2 0 3
+14 1 3 2
+5 0 3 2
+1 2 2 2
+11 1 2 1
+3 1 3 3
+1 3 0 0
+4 0 1 0
+14 0 3 1
+14 1 0 2
+4 0 1 2
+1 2 1 2
+11 3 2 3
+3 3 1 0
+14 0 1 3
+1 1 0 2
+4 2 3 2
+14 2 2 1
+12 3 2 2
+1 2 3 2
+11 2 0 0
+3 0 2 1
+14 3 2 0
+1 1 0 2
+4 2 0 2
+14 2 3 3
+12 2 3 3
+1 3 1 3
+1 3 1 3
+11 3 1 1
+3 1 0 3
+14 2 0 1
+9 2 0 2
+1 2 2 2
+11 3 2 3
+3 3 1 2
+14 2 2 0
+14 1 3 3
+14 0 3 1
+15 0 3 1
+1 1 1 1
+11 1 2 2
+3 2 3 0
+14 2 1 2
+14 0 0 1
+14 0 1 3
+7 3 2 3
+1 3 2 3
+11 3 0 0
+3 0 2 3
+14 2 1 1
+14 3 0 0
+0 0 1 0
+1 0 1 0
+11 0 3 3
+3 3 3 0
+1 2 0 3
+4 3 0 3
+14 1 2 1
+7 3 2 2
+1 2 1 2
+11 2 0 0
+3 0 1 1
+14 3 0 2
+14 1 0 3
+14 2 0 0
+15 0 3 2
+1 2 3 2
+11 2 1 1
+14 3 1 0
+14 0 2 3
+14 2 0 2
+7 3 2 2
+1 2 2 2
+11 1 2 1
+14 1 0 0
+14 2 2 2
+3 0 2 3
+1 3 2 3
+1 3 3 3
+11 1 3 1
+3 1 0 0
+14 2 2 1
+14 0 3 3
+14 3 1 1
+1 1 2 1
+11 1 0 0
+3 0 1 1
+14 1 0 0
+11 0 0 0
+1 0 1 0
+1 0 1 0
+11 1 0 1
+3 1 2 2
+14 2 1 1
+14 3 2 0
+14 3 1 3
+8 1 0 0
+1 0 3 0
+1 0 1 0
+11 2 0 2
+3 2 1 0
+14 1 3 3
+14 0 3 1
+14 2 3 2
+4 3 1 3
+1 3 2 3
+11 3 0 0
+3 0 0 3
+14 3 1 0
+14 1 0 1
+8 2 0 2
+1 2 3 2
+1 2 1 2
+11 3 2 3
+14 1 1 0
+14 3 3 1
+14 0 3 2
+11 0 0 0
+1 0 2 0
+11 0 3 3
+3 3 0 2
+1 3 0 0
+4 0 2 0
+1 2 0 3
+4 3 1 3
+15 0 3 0
+1 0 3 0
+11 0 2 2
+14 1 3 0
+14 1 0 1
+14 2 0 3
+11 0 0 3
+1 3 1 3
+1 3 1 3
+11 3 2 2
+3 2 0 1
+14 0 0 3
+14 2 0 2
+7 3 2 0
+1 0 3 0
+11 0 1 1
+3 1 2 0
+14 1 3 3
+14 1 0 1
+14 0 2 2
+1 1 2 1
+1 1 3 1
+11 1 0 0
+3 0 3 2
+14 2 2 0
+1 2 0 1
+4 1 1 1
+13 1 0 0
+1 0 1 0
+1 0 2 0
+11 2 0 2
+3 2 1 1
+1 3 0 0
+4 0 3 0
+14 0 3 2
+14 2 0 3
+9 2 0 2
+1 2 3 2
+11 1 2 1
+14 0 2 2
+14 1 3 3
+9 2 0 0
+1 0 1 0
+11 0 1 1
+3 1 2 3
+14 2 1 0
+14 3 0 2
+14 1 1 1
+14 2 1 0
+1 0 1 0
+11 0 3 3
+14 3 2 0
+14 0 1 2
+14 2 3 1
+10 0 2 0
+1 0 2 0
+11 3 0 3
+3 3 3 2
+14 3 1 0
+1 0 0 3
+4 3 2 3
+14 1 1 1
+13 1 3 1
+1 1 1 1
+11 1 2 2
+14 1 1 1
+14 1 3 3
+14 2 3 0
+15 0 3 3
+1 3 2 3
+11 2 3 2
+3 2 1 1
+14 1 2 0
+14 0 3 3
+14 2 1 2
+7 3 2 2
+1 2 2 2
+11 2 1 1
+14 1 0 2
+14 1 3 3
+14 2 1 0
+15 0 3 3
+1 3 2 3
+11 1 3 1
+14 1 2 3
+1 2 0 0
+4 0 1 0
+14 2 0 2
+3 0 2 3
+1 3 3 3
+11 3 1 1
+14 2 3 3
+14 2 3 0
+5 0 3 3
+1 3 1 3
+1 3 2 3
+11 1 3 1
+3 1 3 3
+14 1 2 0
+1 3 0 1
+4 1 1 1
+14 3 1 2
+1 0 2 0
+1 0 2 0
+11 0 3 3
+14 2 0 2
+1 1 0 0
+4 0 1 0
+14 3 0 1
+4 0 1 1
+1 1 1 1
+1 1 2 1
+11 1 3 3
+3 3 3 0
+14 0 3 3
+14 3 0 1
+7 3 2 1
+1 1 2 1
+1 1 2 1
+11 0 1 0
+3 0 2 1
+14 1 3 2
+14 2 1 0
+14 1 1 3
+13 3 0 2
+1 2 3 2
+11 2 1 1
+3 1 1 3
+14 2 2 2
+14 2 2 1
+14 1 3 0
+3 0 2 1
+1 1 2 1
+11 3 1 3
+3 3 2 0