Square Coins
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9903 Accepted Submission(s): 6789
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.
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
2
10
30
0
dp的完全是按照hdu1028的改的，套那个的感觉。
初始化要比1028难一点，不光要所有的都弄成1，因为这次的不是连续的，所有有的就没有递归上，但是后面的数不可能比前面的小，所以每次都加上一个 d[i][i]=d[i][a[j]];
#include<queue> #include<math.h> #include<stdio.h> #include<string.h> #include<string> #include<iostream> #include<algorithm> using namespace std; #define N 333 int a[22],n,d[N][N]; int main() { for(int i=1;i<=17;i++) a[i]=i*i; for(int i=0;i<=300;i++) for(int j=0;j<=300;j++) d[i][j]=1; for(int i=2;i<=300;i++) { for(int j=2;j<=17&&a[j]<=i;j++) { d[i][a[j]]=d[i][a[j-1]]+d[i-a[j]][min(a[j],i-a[j])]; d[i][i]=d[i][a[j]]; } } int i; while(cin>>i&&i) { cout<<d[i][a[(int)sqrt(i)] ]<<endl; } return 0; }
母函数下次弄