[规律]Snuke Numbers

题目描述

Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123)=1+2+3=6.
We will call an integer n a Snuke number when, for all positive integers m such that m>n, holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
1≤K
The K-th smallest Snuke number is not greater than 1015.

 

输入

Input is given from Standard Input in the following format:

K

输出

Print K lines. The i-th line should contain the i-th smallest Snuke number.

样例输入

复制样例数据

10

样例输出

1
2
3
4
5
6
7
8
9
19

 思路：找到规律如下：

即只需在加到9时判断下一次是加第一位还是第二位

AC代码：

#include <iostream>
#include<cstdio>
typedef long long ll;
using namespace std;

double f(ll x){
  ll sum=0;
  ll cop=x;
  while(x){
    sum+=x%10;
    x/=10;
  }
  return cop*1.0/(sum*1.0);
}

int main()
{
    //printf("%.6f %.6f
",f(20999),f(21999));
    ll k;scanf("%lld",&k);
    ll tot=0;
    ll now=0,x=1;
    while(tot<k){
        if((now/x)%10!=9){
            now+=x;
            printf("%lld
",now);tot++;
        }
        else{
            if(f(now+x)>f(now+10*x)){
                x=10*x;
            }
            now+=x;
            printf("%lld
",now);tot++;
        }
        //printf("tot=%lld 
",tot);
    }
    return 0;
}