A. Little C Loves 3 I
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Little C loves number «3» very much. He loves all things about it.
Now he has a positive integer nn. He wants to split nn into 33 positive integers a,b,ca,b,c, such that a+b+c=na+b+c=n and none of the 33 integers is a multiple of 33. Help him to find a solution.
Input
A single line containing one integer nn (3≤n≤1093≤n≤109) — the integer Little C has.
Output
Print 33 positive integers a,b,ca,b,c in a single line, such that a+b+c=na+b+c=n and none of them is a multiple of 33.
It can be proved that there is at least one solution. If there are multiple solutions, print any of them.
Examples
input
Copy
3
output
Copy
1 1 1
input
Copy
233
output
Copy
77 77 79
被样例困惑了很久,看了题解啧啧,其实这题就是构造
大致题意:给你一个数n,找到三个数a,b,c,使得a+b+c=n,并且a,b,c都不能是3的倍数
分析:当n%3=0时,n-2一定不是3的倍数,可以构造为a=1,b=1,c=n-2;当n%3!=0时,n-3一定不是3的倍数,那么可以构造为,a=1,b=2,c=n-3.注意这个构造是任意的,只要满足条件即可
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int main()
{
int n;
while(~scanf("%d",&n))
{
if(n%==)
printf("1 1 %d\n",n-);
else
printf("1 2 %d\n",n-);
}
return ;
}