The officer, normally assigned to the Sixth Precinct in the West Village, readily recalled the encounter. “It was freezing out and you could see the blisters on the man’s feet,” he said in an interview. “I had two pairs of socks and I was still cold.” They started talking; he found out the man’s shoe size: 12…

Mr. Cano volunteered to give the officer his employee discount to bring down the regular $100 price of the all-weather boots to a little more than $75. The officer has kept the receipt in his vest since then, he said, “to remind me that sometimes people have it worse.”