UVA11375
题目连接:UVA - 11375
递推+大数
分析参见lij白书p110
1 #include<cstdio> 2 #include<cstring> 3 #include<algorithm> 4 #include<iostream> 5 using namespace std; 6 const int maxn=2010; 7 8 class bign 9 { 10 public: 11 int date[500]; 12 int len; 13 bign(){memset(date,0,sizeof(date));len=1;} 14 void operator =(const int &x) 15 { 16 int temp=x; 17 while(temp) 18 { 19 date[len++]=temp%10; 20 temp/=10; 21 } 22 } 23 bign operator + (const bign& a) 24 { 25 bign temp; 26 temp.len=max(len,a.len); 27 for(int i=1;i<=temp.len;i++) 28 { 29 temp.date[i]+=date[i]+a.date[i]; 30 if(temp.date[i]>=10) 31 { 32 temp.date[i+1]=temp.date[i+1]+temp.date[i]/10; 33 temp.date[i]%=10; 34 if(i==temp.len) temp.len++; 35 } 36 } 37 return temp; 38 } 39 bign operator +=(const bign &a) 40 { 41 *this=*this+a; 42 return *this; 43 } 44 bign operator +=(const int &a) 45 { 46 *this=*this+a; 47 return *this; 48 } 49 bign operator+ (const int& a) 50 { 51 bign temp; 52 temp=a; 53 temp=*this+temp; 54 return temp; 55 } 56 friend ostream& operator << ( ostream & out,const bign& ans) 57 { 58 int i=ans.len; 59 while(ans.date[i]==0&&i>=1) i--; 60 if(i!=0) 61 for(;i>=1;i--) out<<ans.date[i]; 62 else out<<"0"; 63 return out; 64 } 65 }; 66 bign ans[maxn],d[maxn]; 67 int c[]={6,2,5,5,4,5,6,3,7,6}; 68 int main() 69 { 70 d[0]=1; 71 for(int i=0;i<maxn;i++) 72 for(int j=0;j<10;j++) 73 if(!(i==0&&j==0)&&c[j]+i<maxn) 74 d[c[j]+i]+=d[i]; 75 ans[0]=0; 76 for(int i=1;i<maxn;i++) 77 ans[i]=ans[i-1]+d[i]; 78 for(int i=6;i<maxn;i++) 79 ans[i]+=1; 80 int n; 81 while(cin>>n) 82 cout<<ans[n]<<endl; 83 return 0; 84 }