Maggie's Farm

When you are dealing with trillions of messages one of the best ways to narrow the search is to select suspicious ones for further investigation. A encrypted message is suspicious.
While I have no doubt a good encryption algorithm would create a file that would take years to decrypt the problem is are any of the commercial encryption programs untainted by a backdoor or a hack? Also sometimes what seems like a simple math problem with only one long tedious solution can be cracked by a breakthrough that no one can predict. I would be reluctant to bet that a large organization dedicated to breaking encryption and with billions available to them hasn't figured out some tricks and hacks that leapfrog them over the tedious straight mathematical or repetition methods.