看了动态规划,对dp有个大概理解,这题之前一直卡着,刚开始还用搜索做~
要注意对0的处理,开始把方程列错,WA数次
dp方程为 a[n] = a[n-1]+a[n-2],输入的字符串一次为X1X2X3…Xn…
当Xn = 0时,a[n] = a[n-2]
当Xn != 0时,
若X(n-1)与X(n)组成的数大于26, a[n] = a[n-1].
若X(n-1)与X(n)组成的数<=26,
x(n-1)不为0时, a[n] = a[n-1] + a[n-2]
x(n-1) = 0时, a[n] = a[n-1]
#include <iostream>
#include <string>
#define MAX 100000
using namespace std;
int main()
{
string num;
long long a[MAX];
int size;
int n;
while (cin >> num && num != "0")
{
size = num.length();
a[0] = 1;
a[1] = 1;
if (size == 1)
{
cout << "1" << endl;
continue;
}
//对第二位处理
n = (num[0]-'0')*10 + num[1]- '0';
if (n <= 26 && num[1] != '0')
a[1] = 2;
for (int i = 2; i < size; i++)
{
if (num[i] == '0')
a[i] = a[i-2];
else
{
a[i] = a[i-1];
n = (num[i-1]-'0')*10 + num[i]-'0';
if (n <= 26 && num[i-1] != '0')
a[i] += a[i-2];
}
}
cout << a[size-1] << endl;
}
return 0;
}