Time Breaker

As we all know, altering history is a temporal crime of the highest degree, and as enforcement officers of the Time Repair Agency, you are tasked with bringing in an unknown perpetrator. They are somewhere in all of time, represented by a 5x5 grid of tiles, key dates being destroyed even as we speak! All you have to do is chase them down, take them into custody, and then bring them back to headquarters for your richly deserved promotion! Trouble is, you're not the only officer hot on the criminal's tail, and it's a VERY competitive department...