{"raw_statement":[{"iden":"problem statement","content":"There are a total of $A + B$ cats and dogs. Among them, $A$ are known to be cats, but the remaining $B$ are not known to be either cats or dogs.\nDetermine if it is possible that there are exactly $X$ cats among these $A + B$ animals."},{"iden":"constraints","content":"*   $1 \\leq A \\leq 100$\n*   $1 \\leq B \\leq 100$\n*   $1 \\leq X \\leq 200$\n*   All values in input are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$A$ $B$ $X$"},{"iden":"sample input 1","content":"3 5 4"},{"iden":"sample output 1","content":"YES\n\nIf there are one cat and four dogs among the $B = 5$ animals, there are $X = 4$ cats in total."},{"iden":"sample input 2","content":"2 2 6"},{"iden":"sample output 2","content":"NO\n\nEven if all of the $B = 2$ animals are cats, there are less than $X = 6$ cats in total."},{"iden":"sample input 3","content":"5 3 2"},{"iden":"sample output 3","content":"NO\n\nEven if all of the $B = 3$ animals are dogs, there are more than $X = 2$ cats in total."}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}