[SCOI2009]windy数 数位dp
Code:
#include<cmath>
#include<iostream>
#include<cstdio>
using namespace std;
const int maxn=30;
long long f[maxn][12];
void get_table(){
for(int i=0;i<=9;++i)f[1][i]=1;
for(int i = 2 ; i <= 13 ; ++i)
for(int j = 0; j <= 9; ++j)
for(int last = 0; last <= 9; ++last)
if(abs(j-last)>=2)f[i][j]+=f[i-1][last];
}
int get_length(long long num){
int cnt=1;
while(num/=10)++cnt;
return cnt;
}
long long get_mod(int length){
long long res=1;
for(int i=1;i<length;++i)res*=10;
return res;
}
long long g(long long num,int length,int cur){
long long mod=get_mod(length);
int current=num/mod;
num-=(current*mod);
if(cur>current)return 0;
if(cur<current||length==1)return f[length][cur];
if(num==0){
if(length==2&&abs(current)>=2)return 1; //2 digit number
return 0;
}
long long fin=0;
for(int i=0;i<=9;++i)
if(abs(i-cur)>=2)fin+=g(num,length-1,i);
return fin;
}
long long solve(long long num){
int length=get_length(num);
long long mod=get_mod(length);
long long fin=1;
if(num==-1)return 0;
if(length==1)return 1;
for(int i=length-1;i>=1;--i)
for(int j=1;j<=9;++j)fin+=f[i][j];
int head=num/mod;
for(int i=1;i<head;++i)fin+=f[length][i];
long long h=g(num,length,head);
return fin+h;
}
int main()
{
get_table();
long long a,b;
cin>>a>>b;
long long st=solve(a-1);
long long ed=solve(b);
cout<<ed-st;
return 0;
}

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