Lao Liu is a fine man. On this day, he is going to the drugstore to buy a box of medicine. What he wants to buy is a kind of pill. There are 120 pills in a box, and he takes four pills at a time. To Liu’s annoyance, the medicine box said it was 120 pills, but in the end, there were either two or one less pills, so he had to open a box of new drugs and take medicine from it to make up for it.
Before going, Lao Liu asked his son, “Do we have checkers?” The son asked, “Why do you want checkers?” Lao Liu said, “Don’t ask, just bring it to me.” The son hurriedly took the checkers, and Lao Liu said, “Give me all the pieces inside.” The son did, and Lao Liu took the empty chessboard and went to the drugstore with it.
When he arrived at the drugstore, Lao Liu put the empty chessboard on the counter. When the shop assistant saw it, he smiled and asked, “Grandpa, are you still playing checkers at your age?” Lao Liu said, “If you don’t play, it’s useful.”
After hearing this, the shop assistant looked puzzled. Lao Liu smiled and said, “Bring me two boxes of the medicine I usually buy.”
The shop assistant brought the medicine quickly, and Lao Liu took it and shook it, asking, “Is there enough medicine?” The salesperson said: “Enough, not a grain will be missing.”
Lao Liu sighed “Oh”, opened the lid of checkers, and called the shop assistant and said, “Little girl, let me show you the wonderful use of checkers.”
Say that finish, he opened a box of medicine, and slowly poured the pills on the chessboard. This pill is about the size of a jumping chess piece, and in a short time, the holes in the chessboard are filled with pills.
Lao Liu said: “There are six diamonds in checkers, each with 16 holes, totaling 96;” Two adjacent diamonds have six paths, each with four holes, making a total of twenty-four holes; There is also a hole in the middle, adding up to 121 holes in total. Look at this pill. After it is dispersed, there are still three holes left unfilled. Do you think there are enough 120 pills? ”
At first, the shop assistant was puzzled, but now, his mouth is wide open in surprise.