Holding Bin-Laden Captive!
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 16063 Accepted Submission(s): 7206
Problem Description
We all know that Bin-Laden is a notorious terrorist, and he has disappeared for a long time. But recently, it is reported that he hides in Hang Zhou of China!
“Oh, God! How terrible! ”
Don’t be so afraid, guys. Although he hides in a cave of Hang Zhou, he dares not to go out. Laden is so bored recent years that he fling himself into some math problems, and he said that if anyone can solve his problem, he will give himself up!
Ha-ha! Obviously, Laden is too proud of his intelligence! But, what is his problem?
“Given some Chinese Coins (硬币) (three kinds-- 1, 2, 5), and their number is num_1, num_2 and num_5 respectively, please output the minimum value that you cannot pay with given coins.”
You, super ACMer, should solve the problem easily, and don’t forget to take $25000000 from Bush!
Input
Input contains multiple test cases. Each test case contains 3 positive integers num_1, num_2 and num_5 (0<=num_i<=1000). A test case containing 0 0 0 terminates the input and this test case is not to be processed.
Output
Output the minimum positive value that one cannot pay with given coins, one line for one case.
Sample Input
1 1 3 0 0 0
Sample Output
4
如果你刚学母函数的话，那这道题可能会是你的一道坎，，不要怕，最好别看别人的代码和题解，，若这题自己想通了，我想对母函数的理解，会到下一个层次的，加油吧
代码：
#include <stdio.h>
#define MAX 10100
int main()
{
int c1[MAX] , c2[MAX] ,num[5] , a[]={0,1,2,5};
while(~scanf("%d%d%d",&num[1],&num[2],&num[3]) &&(num[1]||num[2]||num[3]))
{
int m = num[1]*a[1]+num[2]*a[2]+num[3]*a[3] ;
for(int i = 0 ; i <= m ; ++i)
{
c1[i] = 1 ;
c2[i] = 0 ;
}
c1[m+1] = 0 ;
int len = num[1]*a[1] ;
for(int i = 2 ; i <= 3 ; ++i)
{
len += num[i]*a[i] ;
for(int j = 0 ; j <= len-num[i]*a[i] ; j++)
{
for(int k = 0 ; k+j <= len; k+=a[i])
{
c2[j+k] += c1[j] ;
}
}
for(int j = 0 ; j <= len ; ++j)
{
c1[j] = c2[j] ;
c2[j] = 0 ;
}
}
for(int i = 0 ; i < MAX ; ++i)
{
if(c1[i] == 0)
{
printf("%d\n",i);
break ;
}
}
}
return 0 ;
}
与君共勉