There is a floor mat at the entrance of the corridor, which is very dirty. Many people walk. They work with a paper knife at the entrance of the corridor. While using it, they put the paper knife on the floor mat. Later, they accidentally cut their hand, bled, washed with water and pasted band AIDS. They want to ask the doctor. If someone steps on the floor mat and has HIV, will it be infectious if they step on the floor mat and put it on the paper knife?
AIDS is a sexually transmitted disease, mainly caused by sexual transmission. What you describe is not related to the way of transmission, and it will not cause infection because you touch a mat.
At ordinary times, you should try your best to regulate your own sexual behavior to prevent this type of disease. There is no problem with simple life contact like you.