Nearest Interesting Number
Polycarp knows that if the sum of the digits of a number is divisible by 33, then the number itself is divisible by 33. He assumes that the numbers, the sum of the digits of which is divisible by 44, are also somewhat interesting. Thus, he considers a positive integer nn interesting if its sum of digits is divisible by 44.
Help Polycarp find the nearest larger or equal interesting number for the given number aa. That is, find the interesting number nn such that n≥an≥a and nn is minimal.
Analysis:
Even if we will iterate over all possible numbers starting from aa and check if sum of digits of the current number is divisible by 44, we will find the answer very fast. The maximum possible number of iterations is no more than 55.
Codes:
My previous codes:
1 #include<bits/stdc++.h> 2 using namespace std; 3 int f(int n) 4 { 5 int s=0; 6 while(n){ 7 s+=n%10; 8 n=n/10; 9 } 10 return s; 11 } 12 int main() 13 { 14 int n; 15 while(cin>>n) 16 { 17 for(int i=n;i<=1000;i++) //运行老是无以通过! 18 { 19 if(f(i)%4==0) break; 20 } 21 cout<<f(i)<<endl; 22 } 23 return 0; 24 }
By learning:
1 #include<bits/stdc++.h> 2 using namespace std; 3 int sum(int n){ 4 int s=0; 5 while(n){ 6 s+=n%10; 7 n/=10; 8 } 9 return s; 10 } 11 12 int main(){ 13 int n; 14 while(cin>>n){ 15 while(sum(n)%4!=0){ 16 n++; //很简洁优美的一定情况下的自增哦! 17 } 18 cout<<n<<endl; 19 } 20 }