sgu108. Self-numbers 2 滚动数组 打表 难度:1

108. Self-numbers 2

time limit per test: 0.5 sec. 
memory limit per test: 4096 KB

 

In 1949 the Indian mathematician D.R. Kaprekar discovered a class of numbers called self-numbers. For any positive integer n, define d(n) to be n plus the sum of the digits of n. (The d stands for digitadition, a term coined by Kaprekar.) For example, d(75) = 75 + 7 + 5 = 87. Given any positive integer n as a starting point, you can construct the infinite increasing sequence of integers n, d(n), d(d(n)), d(d(d(n))), .... For example, if you start with 33, the next number is 33 + 3 + 3 = 39, the next is 39 + 3 + 9 = 51, the next is 51 + 5 + 1 = 57, and so you generate the sequence 33, 39, 51, 57, 69, 84, 96, 111, 114, 120, 123, 129, 141, ... The number n is called a generator of d(n). In the sequence above, 33 is a generator of 39, 39 is a generator of 51, 51 is a generator of 57, and so on. Some numbers have more than one generator: for example, 101 has two generators, 91 and 100. A number with no generators is a self-number. Let the a[i] will be i-th self-number. There are thirteen self-numbers a[1]..a[13] less than 100: 1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, and 97. (the first self-number is a[1]=1, the second is a[2] = 3, :, the thirteen is a[13]=97);

 

Input

Input contains integer numbers N, K, s₁...s_k. (1<=N<=10⁷, 1<=K<=5000) delimited by spaces and line breaks.

 

Output

At first line you must output one number - the quantity of self-numbers in interval [1..N]. Second line must contain K numbers - a[s₁]..a[s_k], delimited by spaces. It`s a gaurantee, that all self-numbers a[s₁]..a[s_k] are in interval [1..N]. (for example if N = 100, s_k can be 1..13 and cannot be 14, because 14-th self-number a[14] = 108, 108 > 100)

 

Sample Input

100 10
1 2 3 4 5 6 7 11 12 13

Sample Output

13
1 3 5 7 9 20 31 75 86 97

思路:把询问排序,对询问打表,使用滚动数组不然会MLE
滚动数组...以后要计算是否会mle 原本是开了1e7数组,+5000答案数组,所占为20000kb左右
注意可能有相同的询问

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
bool isnt[2][100001];
int len;
struct node {
    int num,ind,ans;
};
node q[5050];
int qlen;
bool cmp1(node n1,node n2){
    return n1.num<n2.num;
}

bool cmp2(node n1,node n2){
    return n1.ind<n2.ind;
}
int getsum(int i){
    int sum=0;
    while(i>=10){
        sum+=i%10;i/=10;
    }
    sum+=i;
    return sum;
}
int n,k;
int main(){

    while(scanf("%d%d",&n,&k)==2){
        for(int i=0;i<k;i++){
            scanf("%d",&(q[i].num));
            q[i].ind=i;
        }
        sort(q,q+k,cmp1);
        int l=n/100000;
        for(int i=0;i<=l;i++){
            memset(isnt[1-i&1],0,sizeof(isnt[0]));
            for(int j=100000*i;j<100000*(i+1)&&j<=n;j++){
                if(j==0)continue;
                int tt=j+getsum(j);
                if(tt<=n){
                    if(tt<100000*(i+1)){
                        isnt[i&1][tt%100000]=true;
                    }
                    else isnt[1-i&1][tt%100000]=true;
                }
                if(!isnt[i&1][j%100000]){
        //           printf("%d ",j);
                    len++;
                    while(len==q[qlen].num&&qlen<k){
                        q[qlen].ans=j;
                        qlen++;
                    }
                }
            }
        }
       sort(q,q+k,cmp2);
        printf("%d\n",len);
        for(int i=0;i<k;i++){
            printf("%d%c",q[i].ans,i==k-1?'\n':' ');
        }
    }
    return 0;
}