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#n is the total amount, L is the list of change denominations. | |
def change(n, L): | |
if n < 0: | |
return 0 | |
if n == 0: | |
return 1 | |
if L == []: | |
return 0 | |
return change(n, L[:-1]) + change(n-L[-1], L) |
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#The Collatz sequence is defined by the following rules on the set of positive numbers: | |
# n -> n/2 if n is even | |
# n -> 3n + 1 if n is odd | |
#Starting with 13, the sequence proceeds: | |
# 13 - 40 - 20 - 10 - 5 - 16 - 8 - 4 - 2 - 1 | |
#Which starting number, under 1,000,000 produces the longest chain? |
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#!/usr/bin/python | |
#This is a program to calculate payouts for horse racing. The user is prompted | |
#for the names of the horses, then the names of the bettors, then for any number | |
#of bets. At the end, it displays the winnings of each bettor. | |
#It uses parimutuel-style betting, where the odds for each horse are calculated | |
#by dividing the total amount bet on all the horses by the amount bet on the | |
#specific horse. The people who have bet on a winning horse divide up all the | |
#money bet in proportion to the relative amount of their respective bets on the |
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