1239 Increasing Sequences

Description
Given a string of digits, insert commas to create a sequence of strictly increasing numbers so as to minimize the magnitude of the last number. For this problem, leading zeros are allowed in front of a number.

Input
Input will consist of multiple test cases. Each case will consist of one line, containing a string of digits of maximum length 80. A line consisting of a single 0 terminates input.

Output
For each instance, output the comma separated strictly increasing sequence, with no spaces between commas or numbers. If there are several such sequences, pick the one which has the largest first value;if there's a tie, the largest second number, etc.

Sample Input

Sample Output

Source
East Central North America 2002

**************************************************************************************

************************************************************************************9**

• Source Code

  #include <stdio.h>
  #include <string.h>
  #define N_MAX 81
  char seqStr[N_MAX];
  char d[N_MAX][N_MAX];
  char res[N_MAX],resTemp[N_MAX];
  int num;
  bool Great(int start1,int len1,int start2,int len2)
  {
  while(len1 > 0 && seqStr[start1] == '0')
  {
  len1--;
  start1++;
  }
  while(len2 > 0 && seqStr[start2] == '0')
  {
  len2--;
  start2++;
  }
  if(len1 > len2)
  return true;
  else if(len1 == len2)
  {
  while(len1 > 0)
  {
  if(seqStr[start1] > seqStr[start2])
  return true;
  else if(seqStr[start1] < seqStr[start2])
  return false;
  else
  {
  start1++;
  start2++;
  len1--;
  }
  }
  return false;
  }
  else
  return false;
  }
  void GetResult(int idx,int len,int numTemp)
  {
  int i,j;
  if(idx == len)
  {
  if(num == 0)
  {
  resTemp[numTemp] = len;
  num = numTemp + 1;
  memcpy(res,resTemp,num);
  }
  else
  {
  bool best = false;
  resTemp[numTemp] = len;
  for(i = numTemp,j = num - 1 ; i >= 0 && j >= 0 ; i--,j--)
  {
  if(resTemp[i] > res[j])
  best = true;
  if(resTemp[i] == res[j])
  continue;
  break;
  }
  if(best == true)
  {
  num = numTemp + 1;
  memcpy(res,resTemp,num);
  }
  }
  }
  else
  {
  resTemp[numTemp] = len;
  for(i = 1 ; i <= d[idx][len] ; i++)
  {
  if(d[idx-len][i] == 0)
  continue;
  GetResult(idx-len,i,numTemp+1);
  }
  }
  }
  void DP()
  {
  int i,j,t,prev;
  bool bGreat;
  int len = strlen(seqStr + 1) + 1;
  d[1][1] = 1;
  for(i = 2 ; i < len ; i++)
  {
  d[i][i] = 1;
  for(j = 1 ; j < i ; j++)
  {
  prev = i - j;
  t = j;
  while(t < prev && seqStr[prev - t] == '0')
  t++;
  for( ; t > 0 ; t--)
  {
  if(d[prev][t] == 0)
  continue;
  if(Great(i - j + 1,j,prev - t + 1,t))
  {
  bGreat = true;
  break;
  }
  }
  if(bGreat == true)
  d[i][j] = t;
  else
  d[i][j] = 0;
  }
  }
  prev = len - 1;
  for(i = 1 ; i < len ; i++)
  {
  if(d[prev][i] > 0)
  break;
  }
  j = i;
  while(j < len && seqStr[prev - j] == '0')
  j++;
  num = 0;
  for( ; i <= j ; i++)
  GetResult(prev,i,0);
  prev = 1;
  for(i = num - 1 ; i > 0 ; i--)
  {
  j = prev + res[i];
  for( ; prev < j ; prev++)
  printf("%c",seqStr[prev]);
  printf(",");
  }
  j = prev + res[i];
  for( ; prev < j ; prev++)
  printf("%c",seqStr[prev]);
  printf("/n");
  }
  int main()
  {
  //freopen("test.txt","r",stdin);
  while(scanf("%s",seqStr + 1) != EOF)
  {
  if(strlen(seqStr + 1) == 1 && seqStr[1] == '0')
  break;
  DP();
  }
  return 0;
  }

• 3,4,5,6
  35,46
  3,5,26
  0001
  100,000101

  3456
  3546
  3526
  0001
  100000101
  0

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