A bunny had an infinite number of carrots. A group of bunnies tried to steal those carrots from him. The bunny decided to hide the carrots in a nearby cave. He dug up 100 holes and labeled them from 1 to 100 . Then he stored the carrots in the holes labeled as the multiples of 1 , 2 , 3 , . . . , 50. In other words, he stored a carrot in the holes labeled 1 , 2 , 3 , . . . , 100 . After that he stored a carrot in the holes labeled 2 , 4 , 6...100 . Next, he stored them in holes labeled 3 , 6 , 9 , . . . , 99 . And it went on. When he started storing the carrots in holes labeled as the multiples of 51 , the robbers came and took away all his carrots. How many carrots did he manage to save?