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× In Minecraft, potions can be made and drank. When drank, they apply the corresponding potion effect to the player for some specified amount of time. "A Furious Cocktail" is the name of the advancement where a player has every potion effect applied at the same time. This is a challenging feat, as it takes time to drink each potion, and only one potion can be drank at a time. Suppose that in your inventory, there are N unique potions that have a time duration of t1,,tN seconds, respectively. Assuming that it takes T seconds to drink a potion, is it possible to have all N potion effects applied at the same time? Note that if one potion's effect ends at the same time you finish drinking another potion, the potions are not considered to be applied at the same time. Input The first line consists of 2 integers, 0<N<1000 and 1T10, the number of potions in your inventory and time in seconds it takes to drink each potion, respectively. The next N lines each consists of an integer 1ti106, the time duration of the i-th potion where i ranges from 1 to N. Output Output "YES" if it is possible to have all N potion effects applied at the same time, "NO" if otherwise. use Python In Minecraft, potions can be made and drank. When drank, they apply the corresponding… $20.00
$20.00
× (b) Modify the program in Q3(a), with the following new rules: - Players will need to win 3 games to become the overall winner. - Implement a penalty - for the player who skipped, entered an incorrect expression, or entered an expression that evaluated to the wrong result, will draw 2 random digits into their hand. - The player who loses the game will be awarded a "Skip" card in the next game. With the "Skip" card, the player can hit < Enter > to skip, without a penalty. - If not utilized, the "Skip" cards CANNOT be carried forward to the next game. Illustration of the "new" game on the left column, with the rules of the game explained on the right column: Enter player: Alan Enter player: Betty Enter player: Starting hand (number) of digits: 4 Let's play... Game 1 Round 1: Result 6 Betty's hand: [5,2,1,1] Enter expression: 5+1 Correct! Betty's hand: [2,1] Alan wins this game in 4 rounds!! Overall game score: Alan 1, Betty 0 Let's play... Game 2 Round 1: Result 5 Betty's hand: [3, 6, 5, 7, 'S'] Enter expression: Skipped with no penalty!! Betty's hand: [3,6,5,7] Alan's hand: [2,1,2,1] Enter expression: Skipped and 2 digits added to hand Alan's hand: [2,1,2,1,4,7] Betty wins this game in 5 rounds!! Overall game score: Alan 1, Betty 1 Let's play... Game 3 Round 1: Result 6 Betty's hand: [1, 2, 8, 7] Enter expression: 8-2 Correct! Betty's hand: [1, 7] Computer randomized the play sequence and will stay the same for every game/round End of game, if no overall winner, continue to play another game. Loser will be awarded a "Skip" card in the next game. "S" represents the "Skip" card awarded to Betty. No penalty for Betty as she has a "Skip" card. Hit < Enter > key to skip if cannot form an expression. In this case, the player who skipped will draw 2 random digits into their hand. End of game, if no overall winner, continue to play another game. Loser will be awarded a "Skip" card in the next game. (b) Modify the program in Q3(a), with the following new rules: – Players will need to win 3 games… $10.00
$10.00

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