Working part 2 solution

2024/day-13/solution-2.sh

@@ -2,7 +2,7 @@
 
 FILE=input
 read -r -a INPUT_ARRAY <<< "$( sed -E 's/.*X[\+\=]([0-9]+), Y[\+\=]([0-9]+)/\1 \2 /g' < "$FILE" | paste -s -d " " )"
-printf "%s\n" "${INPUT_ARRAY[@]}" >&2
+#printf "%s\n" "${INPUT_ARRAY[@]}" >&2
 INPUT_LEN=${#INPUT_ARRAY[@]}
 
 TOTAL_TOKEN=0
@@ -12,32 +12,52 @@ do
   C=${INPUT_ARRAY[i+1]}
   B=${INPUT_ARRAY[i+2]}
   D=${INPUT_ARRAY[i+3]}
-  X="10000000000000${INPUT_ARRAY[i+4]}"
-  Y="10000000000000${INPUT_ARRAY[i+5]}"
+  X=$(( 10000000000000 + ${INPUT_ARRAY[i+4]} ))
+  Y=$(( 10000000000000 + ${INPUT_ARRAY[i+5]} ))
 
-  I=$(( ( B*Y - D*X ) / ( B*C - D*A ) )) # Button A
-  J=$(( ( X - A*I ) / B )) # Button B
+  # Check if moduluses are eq 0 before proceeding
+  I_MODULUS=$(( (B*Y - D*X) % (B*C - D*A) ))
+  echo "I_MODULUS: $I_MODULUS"
+  if [[ $I_MODULUS -eq 0 ]]
+  then
+    I=$(( ( B*Y - D*X ) / ( B*C - D*A ) )) # Button A
+  else
+    continue
+  fi
+  J_MODULUS=$(( ( X - A*I ) % B ))
+  echo "J_MODULUS: $J_MODULUS"
+  if [[ $J_MODULUS -eq 0 ]]
+  then
+    J=$(( ( X - A*I ) / B )) # Button b
+  else
+    continue
+  fi
 
-  TOKEN=$(( I*3 + J*1 ))
+  # Numbers have to position integers
+  if [[ $I -lt 1 ]] || [[ $J -lt 1 ]]
+  then
+    continue
+  fi
 
   {
+    echo "( $B*$Y - $D*$X ) / ( $B*$C - $D*$A )" >&2 # Button A
+    echo "( $X - $A*$I ) / $B )" >&2  # Button B
     printf "Answer: I= %s, J= %s\n" "$I" "$J"
+    #echo "Modulus I: $(( ( B*Y - D*X ) % ( B*C - D*A ) ))" # Button A
+    #echo "Modulus J: $(( ( X - A*I ) % B ))" # Button B
     printf "Verify answer : %s to %s, %s to %s\n" "$(( A*I + B*J ))" "$X" "$(( C*I + D*J ))" "$Y"
     printf "Total cost: %s\n" "$(( I*3 + J*1 ))"
   } >&2
 
-  if ! [[ $(( A*I + B*J )) -eq $X ]]
+  TOKEN=$(( I*3 + J*1 )) # Calculate token cost
+
+  # Verify numbers with results for positions
+  if ! [[ $(( A*I + B*J )) -eq $X ]] # X position
   then
     continue
-  elif ! [[ $(( C*I + D*J )) -eq $Y ]]
+  elif ! [[ $(( C*I + D*J )) -eq $Y ]] # Y position
   then
     continue
-  elif [[ $I -lt 1 ]] || [[ $J -lt 1 ]]
-  then
-    continue
-  #elif [[ $I -gt 100 ]] || [[ $J -gt 100 ]]
-  #then
-  #  continue
   else
     (( TOTAL_TOKEN+=TOKEN ))
   fi