Splitting into digits CodeForce#1104A

本文探讨了一道关于数字拆分的算法题,目标是最小化不同数字的数量。通过分析示例,发现输出全1的简单策略即可满足条件,最终提供了一个简洁的C++代码实现。

题目链接:Splitting into digits 

题目原文

Vasya has his favourite number ?n. He wants to split it to some non-zero digits. It means, that he wants to choose some digits ?1,?2,,??d1,d2,…,dk, such that 1??91≤di≤9 for all ?i and ?1+?2++??=?d1+d2+…+dk=n.

Vasya likes beauty in everything, so he wants to find any solution with the minimal possible number of different digits among ?1,?2,,??d1,d2,…,dk. Help him!

思路

一开始想的有点复杂,后来一看题目最下面的Note

In the second test, there are 33 partitions of the number 44 into digits in which the number of different digits is 11. 
This partitions are [1,1,1,1][1,1,1,1], [2,2][2,2] and [4][4]. Any of these partitions can be found.
And, for example, dividing the number 44 to the digits [1,1,2][1,1,2] isn't an answer, because it has 22 different digits, that isn't the minimum possible number.

发现原来[1, 1, 1, 1]也算一组。于是就想是不是只要输出全1就行了,结果就AC了。

题解

 1 #include <iostream>
 2 #include <cstring>
 3 
 4 using namespace std;
 5 
 6 int main(int argc, char const *argv[])
 7 {
 8     int n;
 9     cin >> n;
10     cout << n << endl;
11     for(int i = 0; i < n; i++)
12     {
13         cout << "1 " ;
14     }
15     return 0;
16 }

 

转载于:https://www.cnblogs.com/SaltyFishQF/p/10310367.html

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