An estimated 11,000 runners took part in a run Sunday to honor fallen police officers.
The break-ins are happening at an unusual time, around dusk, when it seems many residents would be home.
New Hampshire authorities say a man has been shot and killed by police in the town of Winchester after threatening the officers with a knife.
Two people have been shot by police officers in Springfield.
New Hampshire authorities say a woman armed with a handgun was shot and killed by police during a confrontation at a home in Hillsborough.