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技术 2022年11月14日
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题目描述 Description

给你n根火柴棍,你可以拼出多少个形如“A+B=C”的等式?等式中的A、B、C是用火柴棍拼出的整数(若该数非零,则最高位不能是0)。用火柴棍拼数字0-9的拼法如图所示:
aaarticlea/png;base64,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” alt=”” />
注意:
1. 加号与等号各自需要两根火柴棍
2. 如果A≠B,则A+B=C与B+A=C视为不同的等式(A、B、C>=0)
3. n根火柴棍必须全部用上 输入输出格式 Input/output输入格式:
输入文件matches.in共一行,又一个整数n(n<=24)。
输出格式:
输出文件matches.out共一行,表示能拼成的不同等式的数目。 输入输出样例 Sample input/output样例测试点#1

输入样例:

样例输入1:
14
样例输入2:
18

输出样例:

样例输出1:
2
样例输出2:
9

说明 description

【输入输出样例1解释】
2个等式为0+1=1和1+0=1。
【输入输出样例2解释】
9个等式为:
0+4=4
0+11=11
1+10=11
2+2=4
2+7=9
4+0=4
7+2=9
10+1=11
11+0=11思路:可以先把每个数字需要的火柴棒数目打表(存入数组),再从10开始往后找第一个加数(10一下的直接输出0,没有答案),再用两个for循环,寻找第一第二个加数(设置两个判断条件判断是否第一个加数、两个加数的和小于和),成立则ans++,本体纯属模拟。。。代码如下:

 #include<stdio.h>
int main()
{
int i,j,k,n,x,ans=;
int a[]={};//对于数组a清零
/*=========================================*///打表,记录每个数字要用的火柴棒
a[]=;a[]=;a[]=;a[]=;a[]=;
a[]=;a[]=;a[]=;a[]=;a[]=;
/*=========================================*/
//freopen("matches.in","r",stdin);
//freopen("matches.out","w",stdout);
scanf("%d",&n);
for(i=;i<;i++)//从10开始找,10以下都是没有答案的,通过一位数初始化两位、三位的数所需的火柴棒(注意:最多只能到三位!)
{
x=i;
while(x>)
{
a[i]+=a[x%];
x/=;
}
}
n-=;//加法和等号要用去4根火柴棒
/*--------------------------------------------------------------*///两重for循环开始找起!
for(i=;i<=;i++)//循环到爆
{
if(a[i]<n)//只有当加数小于和时,才有可能加上去
{
for(j=;j<=;j++)//循环到爆
if(a[i]+a[j]<n)//两个加数比和要小,执行
{
k=i+j;//加上和
/*========================*///模拟加法过程
if(a[i]+a[j]+a[k]==n)
{
ans++;//找到一种方案,ans++
}
/*========================*/
}
}
}
/*--------------------------------------------------------------*/
printf("%d\n",ans);
return ;
}
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