{"raw_statement":[{"iden":"problem statement","content":"Takahashi's shop sells $N$ products. The usual price of the $i$\\-th product is $A_i$ yen (Japanese currency).  \nIt has a bargain sale today, with a discount of $1$ yen off the usual prices for the $2$\\-nd, $4$\\-th, and the subsequent even-indexed products. The $1$\\-st, $3$\\-rd, and the subsequent odd-indexed products are sold for their usual prices.  \nYou have $X$ yen. Can you buy all the $N$ products with this money?"},{"iden":"constraints","content":"*   $1 \\leq N \\leq 100$\n*   $1 \\leq X \\leq 10000$\n*   $1 \\leq A_i \\leq 100$\n*   All values in input are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $X$\n$A_1$ $A_2$ $\\ldots$ $A_N$"},{"iden":"sample input 1","content":"2 3\n1 3"},{"iden":"sample output 1","content":"Yes\n\nYou can buy the $1$\\-st product for $1$ yen and the $2$\\-nd product for $2$ yen, $1$ yen off the usual price. You have just enough money, $3$ yen, to buy both of them."},{"iden":"sample input 2","content":"4 10\n3 3 4 4"},{"iden":"sample output 2","content":"No\n\nYou can buy these four products for $3$ yen, $2$ yen, $4$ yen, and $3$ yen, respectively. You need $12$ yen to buy all of them, and since you have only $10$ yen, you cannot buy all of them."},{"iden":"sample input 3","content":"8 30\n3 1 4 1 5 9 2 6"},{"iden":"sample output 3","content":"Yes"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}