Motu And Segmented Coins

Motu has $K$ boxes and every box is empty at time $t$ $=$ $0$. Now Patlu gave him coins at some $T$ instants of time $( 1,2,3 ...T )$ and asked him to put one coin in each box from box $L$ to $R$. Patlu make a record of the data and also asked Motu to do the same. Now he asked Motu some queries and asked him to tell the number of coins present in a box $X$ from time $t1$ to time $t2$ i.e. number o