CF468A 24 Game
Description
Little X used to play a card game called "24 Game", but recently he has found it too easy. So he invented a new game.
Initially you have a sequence of $ n $ integers: $ 1,2,...,n $ . In a single step, you can pick two of them, let's denote them $ a $ and $ b $ , erase them from the sequence, and append to the sequence either $ a+b $ , or $ a-b $ , or $ a×b $ .
After $ n-1 $ steps there is only one number left. Can you make this number equal to $ 24 $ ?
Input Format
The first line contains a single integer $ n $ $ (1
Output Format
If it's possible, print "YES" in the first line. Otherwise, print "NO" (without the quotes).
If there is a way to obtain $ 24 $ as the result number, in the following $ n-1 $ lines print the required operations an operation per line. Each operation should be in form: " $ a $ $ op $ $ b $ = $ c $ ". Where $ a $ and $ b $ are the numbers you've picked at this operation; $ op $ is either "+", or "-", or "\*"; $ c $ is the result of corresponding operation. Note, that the absolute value of $ c $ mustn't be greater than $ 10^{18} $ . The result of the last operation must be equal to $ 24 $ . Separate operator sign and equality sign from numbers with spaces.
If there are multiple valid answers, you may print any of them.