#!/usr/bin/env bash

set -o errexit
set -o nounset
set -o pipefail
if [[ "${TRACE-0}" == "1" ]]; then
  set -o xtrace
fi

INPUT="$1"

main ()
{
  IFS=' ' read -r -a times <<< "$(grep Time ${INPUT} | awk '{$1=""; print $0}')"
  IFS=' ' read -r -a distances <<< "$(grep Distance ${INPUT} | awk '{$1=""; print $0}')"
  declare -a winning_counts=()
  records="${#times[@]}"
  for ((i=0; i<records; i++)); do
    t_record="${times[${i}]}"
    d_record="${distances[${i}]}"
    for ((t=1; t<=t_record; t++)); do
      t_remaining=$((t_record-t))
      distance=$((t*t_remaining))
      if [[ ${distance} -gt ${d_record} ]]; then
        first_winning="${t}"
        last_winning=$((t_record-first_winning))
        winning=$((last_winning-first_winning+1))
        break
      fi
    done
    winning_counts+=("${winning}")
  done
  product=1
  for i in "${winning_counts[@]}"; do
    product=$((product*i))
  done
  echo "${product}"
}

main