Initial data commit

Task/Babbage-problem/UNIX-Shell/babbage-problem-1.sh

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+# Program to determine the smallest positive integer whose square
+# has a decimal representation ending in the digits 269,696.
+
+# Start with the smallest positive integer of them all
+let trial_value=1
+
+# Compute the remainder when the square of the current trial value is divided
+# by 1,000,000.␣
+while (( trial_value * trial_value % 1000000 != 269696 )); do
+  # As long as this value is not yet 269,696, increment
+  # our trial integer and try again.
+  let trial_value=trial_value+1
+done
+
+# To get here we must have found an integer whose square meets the
+# condition; display that final result
+echo $trial_value