CodeForces 538B

Description

A number is called quasibinary if its decimal representation contains only digits 0 or 1. For example, numbers 0, 1, 101, 110011 — are quasibinary and numbers 2, 12, 900 are not.

You are given a positive integer n. Represent it as a sum of minimum number of quasibinary numbers.

Input

The first line contains a single integer n (1 ≤ n ≤ 106).

Output

In the first line print a single integer k — the minimum number of numbers in the representation of number n as a sum of quasibinary numbers.

In the second line print k numbers — the elements of the sum. All these numbers should be quasibinary according to the definition above, their sum should equal n. Do not have to print the leading zeroes in the numbers. The order of numbers doesn‘t matter. If there are multiple possible representations, you are allowed to print any of them.

Sample Input

Input

9

Output

91 1 1 1 1 1 1 1 1 

Input

32

Output

310 11 11 

解题思路:题目大意:将一个数拆分成几个由1和0组成的数。输出数的个数以及各个拆分后的数。

当n小于9的时候,只能拆分成n个1;

当n大于9时,用一个数组将n的各个位数存起来,其中最大的那个数Max则为输出数的个数;

输出时,共有Max个循环对数组输出,当数组元素大于等于1时,输出1,同时元素值减一;当数组元素等于0时,输出0;

注意:当数组输出的第一个数为0时选择不输出。直到第一个数不为0时输出。

#include<iostream>
#include<stdio.h>
#include<cstring>

using namespace std;
int c[10];
int main()
{
    string s;
    cin>>s;
    int sum;

    if(s.length()==1){
    printf("%d\n",s[0]-‘0‘);
    for(int i=1;i<=s[0]-‘0‘;i++)
    {
        if(i==1) printf("1");
        else
        printf(" 1");
    }
    printf("\n");
    }

    else
    {
        int k=s.length();
        for(int i=1;i<=s.length();i++)
        c[i]=s[s.length()-i]-‘0‘;
        int Max=0;
        for(int i=1;i<=k;i++)
        {
            if(c[i]>Max) Max=c[i];
        }
        printf("%d\n",Max);
        while(Max--)
        {
            int i;int j=1;
            for(i=k;i>=1;i--)
            {
                //cout<<i<<"H"<<c[i]<<endl;
                if(c[i]==0&&j==1) {continue;}
                else
                {
                    j++;
                    if(c[i]!=0){printf("1");c[i]=c[i]-1;}
                    else printf("0");
                }
            }
            printf(" ");
        }
        printf("\n");

    }
    return 0;
}
时间: 2025-01-15 11:19:39

CodeForces 538B的相关文章

【codeforces 718E】E. Matvey&#39;s Birthday

题目大意&链接: http://codeforces.com/problemset/problem/718/E 给一个长为n(n<=100 000)的只包含‘a’~‘h’8个字符的字符串s.两个位置i,j(i!=j)存在一条边,当且仅当|i-j|==1或s[i]==s[j].求这个无向图的直径,以及直径数量. 题解:  命题1:任意位置之间距离不会大于15. 证明:对于任意两个位置i,j之间,其所经过每种字符不会超过2个(因为相同字符会连边),所以i,j经过节点至多为16,也就意味着边数至多

Codeforces 124A - The number of positions

题目链接:http://codeforces.com/problemset/problem/124/A Petr stands in line of n people, but he doesn't know exactly which position he occupies. He can say that there are no less than a people standing in front of him and no more than b people standing b

Codeforces 841D Leha and another game about graph - 差分

Leha plays a computer game, where is on each level is given a connected graph with n vertices and m edges. Graph can contain multiple edges, but can not contain self loops. Each vertex has an integer di, which can be equal to 0, 1 or  - 1. To pass th

Codeforces Round #286 (Div. 1) A. Mr. Kitayuta, the Treasure Hunter DP

链接: http://codeforces.com/problemset/problem/506/A 题意: 给出30000个岛,有n个宝石分布在上面,第一步到d位置,每次走的距离与上一步的差距不大于1,问走完一路最多捡到多少块宝石. 题解: 容易想到DP,dp[i][j]表示到达 i 处,现在步长为 j 时最多收集到的财富,转移也不难,cnt[i]表示 i 处的财富. dp[i+step-1] = max(dp[i+step-1],dp[i][j]+cnt[i+step+1]) dp[i+st

Codeforces 772A Voltage Keepsake - 二分答案

You have n devices that you want to use simultaneously. The i-th device uses ai units of power per second. This usage is continuous. That is, in λ seconds, the device will use λ·ai units of power. The i-th device currently has bi units of power store

Educational Codeforces Round 21 G. Anthem of Berland(dp+kmp)

题目链接:Educational Codeforces Round 21 G. Anthem of Berland 题意: 给你两个字符串,第一个字符串包含问号,问号可以变成任意字符串. 问你第一个字符串最多包含多少个第二个字符串. 题解: 考虑dp[i][j],表示当前考虑到第一个串的第i位,已经匹配到第二个字符串的第j位. 这样的话复杂度为26*n*m*O(fail). fail可以用kmp进行预处理,将26个字母全部处理出来,这样复杂度就变成了26*n*m. 状态转移看代码(就是一个kmp

Codeforces Round #408 (Div. 2) B

Description Zane the wizard is going to perform a magic show shuffling the cups. There are n cups, numbered from 1 to n, placed along the x-axis on a table that has m holes on it. More precisely, cup i is on the table at the position x?=?i. The probl

Codeforces 617 E. XOR and Favorite Number

题目链接:http://codeforces.com/problemset/problem/617/E 一看这种区间查询的题目,考虑一下莫队. 如何${O(1)}$的修改和查询呢? 令${f(i,j)}$表示区间${\left [ l,r \right ]}$内数字的异或和. 那么:${f(l,r)=f(1,r)~~xor~~f(1,l-1)=k}$ 记一下前缀异或和即可维护. 1 #include<iostream> 2 #include<cstdio> 3 #include&l

CodeForces - 601A The Two Routes

http://codeforces.com/problemset/problem/601/A 这道题没想过来, 有点脑筋急转弯的感觉了 本质上就是找最短路径 但是卡在不能重复走同一个点 ---->>> 这是来坑人的 因为这是一个完全图(不是被road 连接  就是被rail连接 ) 所以一定有一条直接连1 和 n的路径 那么只用找没有连 1 和 n 的路径的 那个图的最短路即可 然后这个dijkstra写的是O(V^2)的写法 以后尽量用优先队列的写法O(ElogV) 1 #includ