CAOS Falling Letters
Brain Warm-up Based on a Martin Gardner Puzzle
Problem:
The letters STARTLING are hanging from a line to advertise a sale at a used car lot, when out of nowhere a gust of wind causes the second T to fall. The letters now read STARLING (which is a type of bird) Your job is to select an order for the remainder of the letters to fall (one at a time) such that the sign continues to proclaim a single common English word after each letter falls.

I used the /usr/share/dict/words file, on my Linux system, to find some more words that have this same feature. Three of the longer ones are CLEANSERS, ROADSTERS and RESTARTED. Feel free to have a go at these as well.
Solvers:
  1. The Killer Llama (solved: 1-19-2005 11:57am)
  2. tom von kercey (solved: 1-19-2005 12:47pm)
  3. Jonathan (solved: 1-19-2005 1:19pm)
  4. the greathoj (solved: 1-19-2005 3:15pm)
  5. Erin Harris (solved: 1-19-2005 4:03pm)
  6. Steve Klein (solved: 1-20-2005 10:00am)
Solution:
There are several solutions to each puzzle. Some of the solutions submitted by the people mentioned above contained words that I would not define as the “common” ones that the problem asked for. However, some of my solutions use terms not normally used in speech and the book that the first problem came from was published in the late 60's when (I am guessing) the language was slightly different.

Here are my favorite solutions that were generated by my program.

STARTLING
STARLING
STARING
STRING
STING
SING
SIN
IN
I
CLEANSERS
CLEANSER
CLEANSE
CLEANS
CLEAN
CLAN
CAN
AN
A
ROADSTERS
ROADSTER
ROASTER
RASTER
RATER
RATE
RAT
AT
A
RESTARTED
RESTATED
RESTATE
ESTATE
STATE
SATE
ATE
AT
A

The program I wrote to make the last three puzzles is here (fallingWords.cpp).
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