#!/bin/bash

declare -A positions
declare -A scores
declare -A victories
read line
start_position_1=$(sed 's/^.* \([0-9]*\)$/\1/' <<< $line)
read line
start_position_2=$(sed 's/^.* \([0-9]*\)$/\1/' <<< $line)
positions[$start_position_1,$start_position_2]=1
scores[0,0,$start_position_1,$start_position_2]=1
victories[1]=0
victories[2]=0

rolls=( 0 0 0 1 3 6 7 6 3 1 )

iter=0

for ((iter=0;iter<21;iter++)); do
  declare -A new_positions
  declare -A new_scores
  for position in ${!positions[@]}; do
    for ((i=3;i<10;i++)); do
      position_1=${position%,*}
      position_2=${position#*,}
      new_position_1=$(((position_1+i-1)%10+1))
      new_positions[$new_position_1,$position_2]=$((${new_positions[$new_position_1,$position_2]}+${positions[$position]}*rolls[i]))
      for score in ${!scores[@]}; do
        score_1=${score%%,*}
        score_2=${score#*,}
        score_2=${score_2%%,*}
        score_position_1=${score%,*}
        score_position_1=${score_position_1##*,}
        score_position_2=${score##*,}
        if [ $score_position_1 -eq $position_1 ] && [ $score_position_2 -eq $position_2 ]; then
          new_score_1=$((score_1+new_position_1))
          if [ $new_score_1 -ge 21 ]; then
            victories[1]=$((${victories[1]}+${scores[$score]}*rolls[i]))
            new_positions[$new_position_1,$position_2]=$((${new_positions[$new_position_1,$position_2]}-${scores[$score]}))
          else
            new_scores[$new_score_1,$score_2,$new_position_1,$position_2]=$((${new_scores[$new_score_1,$score_2,$new_position_1,$position_2]}+${scores[$score]}*rolls[i]))
          fi
        fi
      done
    done
  done
  
  unset positions
  declare -A positions
  for position in ${!new_positions[@]}; do
    positions[$position]=${new_positions[$position]}
    positions[$position]=${new_positions[$position]}
  done
  unset new_positions
  unset scores
  declare -A scores
  for score in ${!new_scores[@]}; do
    scores[$score]=${new_scores[$score]}
    scores[$score]=${new_scores[$score]}
  done
  unset new_scores

  declare -A new_positions
  declare -A new_scores
  for position in ${!positions[@]}; do
    for ((i=3;i<10;i++)); do
      position_1=${position%,*}
      position_2=${position#*,}
      new_position_2=$(((position_2+i-1)%10+1))
      new_positions[$position_1,$new_position_2]=$((${new_positions[$position_1,$new_position_2]}+${positions[$position]}*rolls[i]))
      for score in ${!scores[@]}; do
        score_1=${score%%,*}
        score_2=${score#*,}
        score_2=${score_2%%,*}
        score_position_1=${score%,*}
        score_position_1=${score_position_1##*,}
        score_position_2=${score##*,}
        if [ $score_position_1 -eq $position_1 ] && [ $score_position_2 -eq $position_2 ]; then
          new_score_2=$((score_2+new_position_2))
          if [ $new_score_2 -ge 21 ]; then
            victories[2]=$((${victories[2]}+${scores[$score]}*rolls[i]))
            new_positions[$position_1,$new_position_2]=$((${new_positions[$position_1,$new_position_2]}-${scores[$score]}))
          else
            new_scores[$score_1,$new_score_2,$position_1,$new_position_2]=$((${new_scores[$score_1,$new_score_2,$position_1,$new_position_2]}+${scores[$score]}*rolls[i]))
          fi
        fi
      done
    done
  done
  
  unset positions
  declare -A positions
  for position in ${!new_positions[@]}; do
    positions[$position]=${new_positions[$position]}
    positions[$position]=${new_positions[$position]}
  done
  unset new_positions
  unset scores
  declare -A scores
  for score in ${!new_scores[@]}; do
    scores[$score]=${new_scores[$score]}
    scores[$score]=${new_scores[$score]}
  done
  unset new_scores
done

most_victories=0
for victory in ${victories[@]}; do
  if [ $victory -gt $most_victories ]; then
    most_victories=$victory
  fi
done
echo $most_victories