HDU 5920 Ugly Problem 【模拟】 (2016中国大学生程序设计竞赛(长春))

Ugly Problem

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 0    Accepted Submission(s): 0
Special Judge

Problem Description

Everyone hates ugly problems.

You are given a positive integer. You must represent that number by sum of palindromic numbers.

A palindromic number is a positive integer such that if you write out that integer as a string in decimal without leading zeros, the string is an palindrome. For example, 1 is a palindromic number and 10 is not.

 

Input

In the first line of input, there is an integer T denoting the number of test cases.

For each test case, there is only one line describing the given integer s (1≤s≤101000).

 

Output

For each test case, output “Case #x:” on the first line where x is the number of that test case starting from 1. Then output the number of palindromic numbers you used, n, on one line. n must be no more than 50. �en output n lines, each containing one of your palindromic numbers. Their sum must be exactly s.

 

Sample Input

2

18

1000000000000

 

Sample Output

Case #1:

2

9

9

Case #2:

2

999999999999

1

Hint

9 + 9 = 18

999999999999 + 1 = 1000000000000

 

Statistic | Submit | Clarifications | Back

题目链接：

　　http://acm.hdu.edu.cn/showproblem.php?pid=5920

题目大意：

　　输入一个长整数s（s<=10¹⁰⁰⁰），求将其拆分为不超过50个回文串之和的方案。

题目思路：

　　【模拟】

　　将前半段取出来，-1，构造成回文串c，s-=c，直到c=1。

　　特殊处理0~20的情况。

//
//by coolxxx
//#include<bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<string>
#include<iomanip>
#include<map>
#include<stack>
#include<queue>
#include<set>
#include<bitset>
#include<memory.h>
#include<time.h>
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
//#include<stdbool.h>
#include<math.h>
#define min(a,b) ((a)<(b)?(a):(b))
#define max(a,b) ((a)>(b)?(a):(b))
#define abs(a) ((a)>0?(a):(-(a)))
#define lowbit(a) (a&(-a))
#define sqr(a) ((a)*(a))
#define swap(a,b) ((a)^=(b),(b)^=(a),(a)^=(b))
#define mem(a,b) memset(a,b,sizeof(a))
#define eps (1e-10)
#define J 10
#define mod 1000000007
#define MAX 0x7f7f7f7f
#define PI 3.14159265358979323
#pragma comment(linker,"/STACK:1024000000,1024000000")
#define N 2004
using namespace std;
typedef long long LL;
double anss;
LL aans,sum;
int cas,cass;
int n,m,lll,ans;
char s[N];
int a[54][N],b[N],c[N];
void gjdjian(int a[],int b[])
{
    int i;
    for(i=1;i<=b[0];i++)
        a[i]-=b[i];
    for(i=1;i<=a[0];i++)
        if(a[i]<0)
            a[i]+=J,a[i+1]--;
    while(a[0]>1 && !a[a[0]])a[0]--;
}
void gjdprint(int a[])
{
    int i;
    for(i=a[0];i;i--)
        printf("%d",a[i]);
    puts("");
}
void print()
{
    int i,j;
    printf("Case #%d:
",cass);
    printf("%d
",lll);
    for(i=1;i<=lll;i++)
        gjdprint(a[i]);
}
int main()
{
    #ifndef ONLINE_JUDGEW
    freopen("1.txt","r",stdin);
//    freopen("2.txt","w",stdout);
    #endif
    int i,j,k;
//    init();
//    for(scanf("%d",&cass);cass;cass--)
    for(scanf("%d",&cas),cass=1;cass<=cas;cass++)
//    while(~scanf("%s",s))
//    while(~scanf("%d",&n))
    {
        lll=0;mem(a,0);
        scanf("%s",s);
        n=strlen(s);
        b[0]=n;
        for(i=0;i<n;i++)b[n-i]=s[i]-'0';
        while(!(b[0]==1 && b[1]==0))
        {
            if(b[0]==1)
            {
                a[++lll][0]=1;
                a[lll][1]=b[1];
                break;
            }
            else if(b[0]==2 && b[2]==1)
            {
                if(b[1]==0)
                {
                    a[++lll][0]=1;
                    a[lll][1]=9;
                    a[++lll][0]=1;
                    a[lll][1]=1;
                    break;
                }
                else if(b[1]==1)
                {
                    a[++lll][0]=2;
                    a[lll][1]=1;
                    a[lll][2]=1;
                    break;
                }
                else
                {
                    a[++lll][0]=2;
                    a[lll][1]=1;
                    a[lll][2]=1;
                    a[++lll][0]=1;
                    a[lll][1]=b[1]-1;
                    break;
                }
            }
            else
            {
                for(i=b[0];i>b[0]/2;i--)
                    c[i-b[0]/2]=b[i];
                c[0]=(b[0]+1)/2;
                int d[2]={1,1};
                gjdjian(c,d);
                j=c[0]+c[0];
                while(j>b[0])j--;
                lll++;
                a[lll][0]=j;
                for(i=c[0];i;i--,j--)
                    a[lll][c[0]-i+1]=a[lll][j]=c[i];
                gjdjian(b,a[lll]);
            }
        }
        print();
    }
    return 0;
}
/*
//

//
*/