【学校个人赛】two operations 想法题基础数学

时间：2020-03-11 19:28:17 阅读：66 评论：0 收藏：0 [点我收藏+]

标签：ase org number test size find als make ide

You are given an integer

You need to find the minimum number of operations in order to make the value of

In one operation you can do one of these operations:

1- Increase the value of

2- Change the value of

Can you find the answer?

Input

The first line of input contains one integer

For each of the next

Output

For each test case print it‘s answer on a line.

Example

input

Copy

output

Copy

题目大意：最开始给出a=1，x=0，然后给出两种操作，1）x=x+a，2）a=x,x=x+a

刚开始想着bfs，然后理所当然的就是TLE，百思不得其解。

赛后看大佬代码才知道，给出的两个操作暗藏玄机。

#include<bits/stdc++.h>
using namespace std;
int main()
{
    std::ios::sync_with_stdio(false);
    cin.tie(0);
    int t,n,ans;
    cin>>t;
    while(t--)
    {
        cin>>n;
        ans=1;
        m=sqrt(n);
        for(int i=2;i<=m;++i)
        {
            while(!(n%i))
            {
                n/=i;
                ans+=i-1;
            }
        }
        if(n>1) ans+=n-1;
        cout<<ans<<endl;
    }
}