## MCITYHAL - Repair City Hall

English | Vietnamese |

Because of its age, the City Hall has suffered damage to one of its walls.

A matrix with M rows and N columns represents the encoded image of that wall, where 1 represents an intact wall and 0 represents a damaged wall (like in Figure-1).

1110000111 1100001111 1000000011 1111101111 1110000111 Figure-1

To repair the wall, the workers will place some blocks vertically into the damaged area. They can use blocks with a fixed width of 1 and different heights of {1, 2 ... M}.

For a given image of the City Hall’s wall, your task is to determine how many blocks of different heights are needed to fill in the damaged area of the wall, and to use the least amount of blocks.

### Input

There is only one test case. The case starts with a line containing two integers M and N (1 <= M, N <= 200). Each of the following M lines contains a string with length of N, which consists of “1”s and/or “0”s. These M lines represent the wall.

### Output

You should output how many blocks of different heights are needed. Use separate lines of the following format:

k Ck

where k ∈ {1, 2 ... M} means the height of the block, and Ck means the amount of blocks of height k that are needed. You should not output the lines where Ck = 0. The order of lines is in the ascending order of k.

### Sample

Input5 10 1110000111 1100001111 1000000011 1111101111 1110000111Output1 7 2 1 3 2 5 1

Added by: | psetter |

Date: | 2009-02-23 |

Time limit: | 1s |

Source limit: | 50000B |

Memory limit: | 1536MB |

Cluster: | Cube (Intel G860) |

Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |

Resource: | Peiking 2004 |