Q6. (a) Smart contract is an important feature of the Ethereum platform. Consider the multi-sig smart contracts used for simple DAO governance. (i) If there are 123 possible acceptable signatures, how many signatures we can afford to be lost and still the funds being retrievable? (ii) What is the minimum number of key holders who must agree and sign in order for the multisig contract to execute? (b) Ethereum, the state machine model based environment, uses a Merkle-Patricia tree data structure unlike the bitcoin blockchain networks. (i) Illustrate, how the Merkle Patricia tree saves the states in Ethereum. (ii) Draw the taxonomy of the different types of nodes in a Merkle Patricia tree. (iii) Given the following key value pairs {(0x0, null ),(0x1, null ),(09, null ),(0A, 2000),(0xB, null ),(0xC, null ),(0xD, null ),(0xE,3000),(0xF, null )} as the leaf nodes and 0XBE as the root node, construct the Merkle Patricia tree. What is the value in the key OXBEA? What is the value in the key 0XBEE