Given two integers a and b. Write a program to find the number of digits in the product of these two integers.

**Input:**

First line contains an integer T denoting number of test cases. The next T lines contains 2 space separated integers a and b each.

**Output:**

For each test case print the number of digits in the product of the two numbers.

**Constraints:**

1<=T<=10^5

-10^5<=a,b<=10^5

**Example:**

**Input:**

2

12 4

-24 33

**Output: **

2

3

Ibrahim Nash | 79 |

Stark_Maverick | 77 |

Micky_Kt | 60 |

Lam Ngoc Pham | 58 |

Eduardo Feo | 58 |

Lam Ngoc Pham | 463 |

All Is Well | 399 |

Divvya Sinha | 374 |

Prateek Gole | 369 |

ioan | 323 |

akhayrutdinov | 3855 |

sanjay05 | 3366 |

Michael Riegger | 2028 |

Jasleen Kaur 2 | 2012 |

Quandray | 1965 |