1. Using the following rewrite rules for arithmetic expressions, draw a derivation tree for the expression 5*3+1+4.

expr	expr add-op term | term
term	term mult-op factor | factor
factor	( expr ) | digit-seq
add-op	+ | -
mult-op	* | DIV | MOD
digit-seq	digit digit-seq | digit
digit	0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

2. Using the following rewrite rules for arithmetic expressions, draw a derivation tree for the expression 5*3+1+4.

expr	term { add-op term }
term	factor { mult-op factor }
factor	( expr ) | digit-seq
add-op	+ | -
mult-op	* | DIV | MOD
digit-seq	digit digit-seq | digit
digit	0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9