HDU 1398 Square Coins （母函數-整數拆分變形） Square Coins

time limit: 2000/1000 ms (java/others)    memory limit: 65536/32768 k (java/others)

total submission(s): 7612    accepted submission(s): 5156

problem description

people in silverland use square coins. not only they have square shapes but also their values are square numbers. coins with values of all square numbers up to 289 (=17^2), i.e., 1-credit coins, 4-credit coins, 9-credit coins, ..., and 289-credit coins, are

available in silverland. 

there are four combinations of coins to pay ten credits: 

ten 1-credit coins,

one 4-credit coin and six 1-credit coins,

two 4-credit coins and two 1-credit coins, and

one 9-credit coin and one 1-credit coin. 

your mission is to count the number of ways to pay a given amount using coins of silverland.

input

the input consists of lines each containing an integer meaning an amount to be paid, followed by a line containing a zero. you may assume that all the amounts are positive and less than 300.

output

for each of the given amount, one line containing a single integer representing the number of combinations of coins should be output. no other characters should appear in the output. 

sample input

sample output

題意：火星上的貨币有1,4,9,16,25.....2^17這17中面值的硬币，問任意給定一個不大于300的正整數面額，用這些硬币來組成此面額總共有多少種組合種數。

一看題目就确定是母函數問題，1a。