hdu_3709_Balanced Number(数位DP)

题目连接:http://acm.hdu.edu.cn/showproblem.php?pid=3709

题意:给你一个区间,让你找平衡数的个数

题解:设dp[i][j][k]为前i位以第j位为支撑点的力矩和为k的方案数,注意的是0,00,000这些也是平衡数,所以要减掉一个len长度

 1 #include<cstdio>
 2 #include<cstring>
 3 #define F(i,a,b) for(LL i=a;i<=b;i++)
 4 typedef long long LL;
 5 
 6 LL t,n,m,dp[20][20][2010],dig[20],len,an,an2,ii;
 7 
 8 LL dfs(int pos,int now,int f,bool inf){
 9     if(!pos)return !f;
10     if(f<0)return 0;
11     if(!inf&&dp[pos][now][f]!=-1)return dp[pos][now][f];
12     LL end=inf?dig[pos]:9,ans=0;
13     F(i,0,end)ans+=dfs(pos-1,now,f+(pos-now)*i,inf&&(i==end));
14     if(!inf)dp[pos][now][f]=ans;
15     return ans;
16 }
17 
18 int main(){
19     memset(dp,-1,sizeof(dp));
20     scanf("%lld",&t);
21     while(t--){
22         scanf("%lld%lld",&n,&m),n--;
23         for(len=0;n;n/=10)dig[++len]=n%10;
24         for(an=0,ii=len;ii>0;ii--)an+=dfs(len,ii,0,1);an-=len;
25         for(len=0;m;m/=10)dig[++len]=m%10;
26         for(an2=0,ii=len;ii>0;ii--)an2+=dfs(len,ii,0,1);
27         printf("%lld
",an2-len-an);
28     }
29     return 0;
30 }
View Code



原文地址:https://www.cnblogs.com/bin-gege/p/5696129.html