Hey there!
In PowerPoint, the notes pane will remain hidden until you click the Notes button on the very bottom of the window. The button is near the presentation view options where you can also sort your slides, make comments on the presentation, adjust the zoom options, or enter the presentation.
Hope this helped you out! :-)
NULL in programming means 0. Or empty.
Answer:
a) Proof:
1. Let’s consider the first two types of coins in this set, pennies and coins that are worth c cents each, which we will call c^ . At most, we can use c −1 pennies because any number larger than c pennies would be replaced by at least one c^ coin. This operation would reduce the total coin number by c −1. In other words, when the remainder is greater than c and I’m allowed to use only pennies and c^ coins, I would use as many c^ coins before considering pennies.
2. The same thoughts apply for larger coins. Let’s consider c^ n-1 and \hat{c}n coins. At most, we can use c −1 c^ n-1 coins. Because any number larger than cn would be replaced by at least one \hat{c}n coin. This operation would reduce the total coin number by c −1. In other words, when the remainder is greater than c^ n and I’m allowed to use only coins that are worth less than c^ n , I would use as many \hat{c}n coins as possible before considering other coins.
3. Combining the first two arguments, the greedy algorithm applies to all the levels of this particular coin set denomination.
b) The greedy algorithm always provides a solution but doesn’t guarantee the smallest number of coins used. The greedy algorithm takes O(nk ) for any kind of coin set denomination, where k is the number of different coins in a particular set. The algorithm is implemented below in Java:
/** * Makes change using a recursive Greedy algorithm. * * param amount * The amount of change to make. * param coins * The sorted set of coins, ordered from smallest to largest. * return The number of coins used to make the change. */ int makeChangeGreedyStyle(int amount, int[] coins) { // Check if there is no more change to make. if (amount == 0) { System.out.println(""); return 0; } // Loop over the change in order of greatest to smallest. for (int i = coins.length; i > 0; i--) { int coin = coins[i - 1]; // If the next largest coin is found, print out its value. if (amount >= coin) { System.out.print(coin + " "); return 1 + makeChangeGreedyStyle(amount - coin, coins); } } // Arriving here means it's impossible to make change // using this greedy algorithm, this amount of change, // and this set of coins. System.out.print("Cannot make change; "); System.out.println("cents remaining: " + amount); return 0; }
Explanation:
Answer:
address to the police man
The correct way to insert specific words at the top of every page of a multi page essay is the third option - Type the words onto the first page after selecting the header region of the document by clicking the top edge of the page; it will automatically be repeated in all subsequent header regions of the document.
The steps in the third choice are correct for inserting a header. You should also keep in mind that you can also set the header so that it does not start until the second page, which may be appropriate for an essay.