2015 Multi-University Training Contest 4（hdu5334 - Virtual Participation）数学

Virtual Participation

Problem Description

As we know, Rikka is poor at math. Yuta is worrying about this situation, so he asks rikka to have some practice on codeforces. Then she opens the problem B:

Given an integer K, she needs to come up with an sequence of integers A satisfying that the number of different continuous subsequence of A is equal to k.

Two continuous subsequences a, b are different if and only if one of the following conditions is satisfied:

The length of a is not equal to the length of b.

There is at least one t that at≠bt, where at means the t-th element of a and bt means the t-th element of b.

Unfortunately, it is too difficult for Rikka. Can you help her?

Input

There are at most 20 testcases，each testcase only contains a single integer K (1≤K≤1091≤K≤10^9)

Output

For each testcase print two lines.

The first line contains one integers n(n≤min(K,105))n (n\leq min(K,10^5)).

The second line contains n space-separated integer Ai (1≤Ai≤n) - the sequence you find.

Sample Input

10

Sample Output

4

1 2 3 4

[code]#include<iostream>
#include<cstdio>
#include<string>
#include<cstring>
#include<vector>
#include<cmath>
#include<queue>
#include<stack>
#include<map>
#include<set>
#include<algorithm>
using namespace std;
typedef long long LL;
const int maxn=100010;
const int maxm=1010;
const int MOD=1e9+7;
const int INF=0x3f3f3f3f;
int K;
int len[maxn];
int main()
{
    while(scanf("%d",&K)!=EOF)
    {
        if(K<=100000)
        {
            printf("%d\n",K);
            for(int i=1;i<K;i++)
                printf("%d ",1);
            printf("1\n");
            continue;
        }
        int N=ceil((sqrt(8*(LL)K-1)-1)/2);
        int cnt=0,num=0;
        LL d=N*N+N-2*K;
        while(d)
        {
            int L=int(sqrt(1+4*d*1.0)+1)/2;
            len[++num]=L;
            cnt+=L;
            d-=(LL)L*(L-1);
        }
        printf("%d\n",N);
        for(int i=1;i<=num;i++)
        {
            for(int j=1;j<=len[i];j++)
                printf("%d ",i);
        }
        if(cnt<N)
        {
            //减掉相同的剩下的还差的不同的补全
            for(int j=1;j<=N-cnt;j++)
                printf("%d ",num+j);
        }
        printf("\n");
    }
    return 0;
}