Acwing 1085. 不要62
题意:
问[n,m]这些数中有多少数不包含4,且不包含连续的62
题解:
经典数位dp,分析过程以前的数位dp博客有写
Acwing 1082. 数字游戏
代码:
#include<bits/stdc++.h>
#define debug(a,b) printf("%s = %d\n",a,b);
typedef long long ll;
using namespace std;inline int read(){int s=0,w=1;char ch=getchar();while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();//s=(s<<3)+(s<<1)+(ch^48);return s*w;
}
const int maxn=20;
int f[maxn][maxn];
void init(){for(int i=0;i<=9;i++)if(i!=4)f[1][i]=1;for(int i=2;i<maxn;i++){for(int j=0;j<=9;j++){for(int k=0;k<=9;k++){if(j==6&&k==2)continue;if(j==4||k==4)continue;f[i][j]+=f[i-1][k];}}}
}
int solve(int x){if(!x)return 1;vector<int>vec;int tot=0;int last=0;while(x)vec.push_back(x%10),x/=10;for(int i=vec.size()-1;i>=0;i--){int n=vec[i];for(int j=0;j<n;j++){if(j==4)continue;if(last==6&&j==2)continue;tot+=f[i+1][j];}if(n==4)break;if(last==6&&n==2)break;last=n;if(!i)tot++;}return tot;
}
int main()
{int n,m;init();while(cin>>n>>m){if(n==0&&m==0)break;cout<<solve(m)-solve(n-1)<<endl;}return 0;
}