jump[i] = i - j
i = N - 1
print(str(i) + " -> ", end="")
while i > 0:
i = jump[i]
print(str(i) + " -> ", end="")
return dp[N - 1]
C = [0, 20, 30, 40, 25, 15, 20, 28]
X = 3
N = len(C)
start_watch()
ret = min_cost_path(N - 1, C, X)
stop_watch_print("Recursive {} milli seconds")
print(ret)
cache = [0 for _ in range(0, N)]
start_watch()
ret = min_cost_path_memo(N - 1, C, X, cache)
stop_watch_print("Memoization {} milli seconds")
print(ret)
start_watch()
ret = min_cost_dp(C, X)
stop_watch_print("DP {} milli seconds")
print(ret)
min_cost_dp_reconstruct(C, X)
l = L
cut = cuts[L]
while cut != 0:
print(str(cut) + ',', end='')
l = l - cut
cut = cuts[l]
return dp[L]
profits_table = [1, 5, 8, 9, 10, 13, 17, 20, 24, 30]
l = 8
start_watch()
res = max_profit(l, profits_table)
print(res)
stop_watch_print("Recursion {} milli seconds")
cache = [-1 for _ in range(0, l + 1)]
start_watch()
res = max_profit_memo(l, profits_table, cache)
print(res)
stop_watch_print("Memoization {} milli seconds")
start_watch()
res = max_profit_dp(l, profits_table)
print(res)
stop_watch_print("Bottom up {} milli seconds")
res = max_profit_dp_reconstruct(l, profits_table)
print(res)