#P1474. Cow Currency Compositions
Cow Currency Compositions
Cow Currency Compositions
The cows have not only created their own government but have also established their own monetary system. Due to their unique way of thinking, they are curious about the numerical value of their currency.
Traditionally, a monetary system is composed of coins with unit denominations $$1,\;5,\;10,\;20,\;25,\;50,\;100$$.
The cows want to know in how many distinct ways one can form a target amount using the coins in this monetary system. For example, if we consider a coin system such as $$\{1,2,5,10,\ldots\}$$, some ways to obtain a total value of $$18$$ are: $$18\times1$$, $$9\times2$$, $$8\times2+2\times1$$, $$3\times5+2+1$$, etc.
inputFormat
The input consists of a single line containing an integer $$N$$ which denotes the target monetary value. $$N$$ is a non-negative integer.
outputFormat
Output the number of distinct ways to form the amount $$N$$ using the available coins. It is guaranteed that the answer will fit in a 64-bit signed integer.
sample
0
1