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hey everyone welcome back and lets write some more neat code today today lets solve another classic dynamic programming problem coin change and we get a pretty simple uh description so were given a list of coins of different values and were also given a total amount of money that we want to sum up to but we want to use the fewest number of coins possible to make up or to sum up to that amount and its possible that that amount of money cannot be made up with any combination of the coins that we have and then we want to return negative one if thats the case and luckily for us were actually given an infinite number of each coin so in the first example we have coins of value 1 2 and 5 and we have infinite quantities of these coins the amount that we want to sum up to is 11 and basically you know just look at this whats the fewest number of coins we could do well of course we want to use a five because its the biggest one we can use another five and then we just need a one left if