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Cracking the Coding Interview 8.7

Given a infinite number of quarters(25cents), dimens(10cents), nickels(5cents) and pennies(1cent), write code to calculate the number of ways of representing n cents.

思路:

buf[] = {1,5,10,25}

为了组成n,用到几个25呢?最多n/25个。

如果用1个25,那么问题就变成了用{1,5,10}组成n-25

如果用2个25,那么问题就变成了用{1,5,10}组成n-25*2

如果不用25,那么问题就变成了用{1,5,10}组成n

最多用n/25个25,最少用0个,依次递归下去,直到n变成0,或者只用{1}来组成结果

#include<stdio.h>int func(int n,int idx,int *buf){    if(n==0 || idx==0)    {        return 1;    }    int m=n/buf[idx];    int r = 0;    for(int i=0;i<=m;i++)    {        r+=func(n-i*buf[idx],idx-1,buf);    }    return r;}int main(){    int buf[]={1,5,10,25};        printf("%d\n",func(51,3,buf));    return 0;}