Long story short, shashlik is Miroslav’s favorite food. Shashlik is prepared on several skewers simultaneously. There are two states for each skewer: initial and turned over.
This time Miroslav laid out n skewers parallel to each other, and enumerated them with consecutive integers from 1 to n in order from left to right. For better cooking, he puts them quite close to each other, so when he turns skewer number i, it leads to turning k closest skewers from each side of the skewer i, that is, skewers number i−k, i−k+1, …, i−1, i+1, …, i+k−1, i+k (if they exist).
For example, let n=6 and k=1. When Miroslav turns skewer number 3, then skewers with numbers 2, 3, and 4 will come up turned over. If after that he turns skewer number 1, then skewers number 1, 3, and 4 will be turned over, while skewer number 2 will be in the initial position (because it is turned again).
As we said before, the art of cooking requires perfect timing, so Miroslav wants to turn over all n skewers with the minimal possible number of actions. For example, for the above example n=6 and k=1, two turnings are sufficient: he can turn over skewers number 2 and 5.
Help Miroslav turn over all n skewers.
Input
The first line contains two integers n and k (1≤n≤1000, 0≤k≤1000) — the number of skewers and the number of skewers from each side that are turned in one step.
Output
The first line should contain integer l — the minimum number of actions needed by Miroslav to turn over all n skewers. After than print l integers from 1 to n denoting the number of the skewer that is to be turned over at the corresponding step.
Examples
Input
7 2
Output
2
1 6
Input
5 1
Output
2
1 4
Note
In the first example the first operation turns over skewers 1, 2 and 3, the second operation turns over skewers 4, 5, 6 and 7.
In the second example it is also correct to turn over skewers 2 and 5, but turning skewers 2 and 4, or 1 and 5 are incorrect solutions because the skewer 3 is in the initial state after these operations.
思路:我用的思路很简单,就是暴力,从1到i+k遍历看那个最小。
注意:这里i是代表从1到n的其中一个数而不是随意的一个数(英语不好的我没看懂,就没注意到i)。
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <string>
#include <cstring>
#include <cstdlib>
#include <math.h>
#include <stack>
#include <queue>
#include <string.h>
using namespace std;
int a[1001][1001];
int main()
{
int n,k,i,j,ans=10000,sum,t,arr;
cin>>n>>k;
for(i=1;i<=1+k;i++)
{
sum=0,arr=0;
for(j=i;j<=n;j=j+2*k+1)
{
a[i][sum]=j;
sum++;
if(j+k<n&&j+2*k+1>n)
{
sum=10000;
break;
}
else if((j<n&&j+k>=n)||j==n)
{
arr=1;
break;
}
}
if(ans>sum&&arr==1)
{
ans=sum;
t=i;
}
}
printf("%d\n",ans);
for(i=0;i<ans;i++)
{
printf("%d ",a[t][i]);
}
}