GPS

Problem Number: 
12 807
Type of Problem: 
Problem Category: 
Input: 
Random Input
Critical Input
0
Critical Input: 
2 10 8 +----------+ | | | ***** | | * * | | *** * | | * | | *** | | * | | * | +----------+ 1 3 7 7 15 15 +---------------+ |*** | | * | | * | | * | | ******** | | **** | | ***** | | **** | | **** | | * | | *** | | * * | | *** | | * | | ******| +---------------+ 0 0 14 14
Random Input: 
100 5 20 +-----+ | | | | | | | | | | | | | | | | | | | | | ** | | ** | | *** | | **| | **| | | | | | | | | | | +-----+ 1 12 3 14 17 19 +-----------------+ | | | | | | | | | | | | | | | | | **** | | ****| | ****| | *****| | * ** | | * * | | * ** | | **** | | *** | | | | | +-----------------+ 15 16 12 8 7 8 +-------+ | | | ***** | | ** ** | | * **| | * ***| | ******| | ***| | **| +-------+ 6 4 1 1 9 15 +---------+ | * | | * | | * | | ** | | * | | | | | | | | | | | | | | | | | | | | | +---------+ 4 4 4 0 12 4 +------------+ | **** | | * | | * | | | +------------+ 7 2 5 0 12 8 +------------+ | | |* | |** | | | | | | | | | | | +------------+ 0 2 0 1 6 11 +------+ | | | | | | | | | | | | | | | | | | | * | | ** | +------+ 3 10 4 10 15 8 +---------------+ | | | | | * | | * | | * | | ***** | | ** ** | | * | +---------------+ 10 5 6 2 1 15 +-+ | | |*| |*| |*| |*| |*| |*| |*| |*| |*| | | | | | | | | | | +-+ 0 8 0 1 13 12 +-------------+ | | | * | | * | | * | | * | | * | | * | | * | | * | | ** * | | ** ***** | | ***** ** | +-------------+ 9 10 1 1 10 11 +----------+ | | | | | | | | | *| | **| | **| | * | | | | | | | +----------+ 9 4 8 7 9 8 +---------+ |** | |** ** | |****** | |** ** | |***** | |* | | | | | +---------+ 5 3 0 5 20 1 +--------------------+ | ********* | +--------------------+ 2 0 10 0 12 15 +------------+ | | | | | | | | |** | |* | |** | | * | | * | | * | | | | | | | | | | | +------------+ 1 4 1 9 8 17 +--------+ | | | | | | | | | | | | | | | | | | | * *** | | *** * | | | | | | | | | | | | | +--------+ 5 10 1 9 12 14 +------------+ | ** | | ** | | * | | | | | | | | | | | | | | | | | | | | | | | +------------+ 2 2 1 0 13 6 +-------------+ |**** | | * | | | | | | | | | +-------------+ 2 0 0 0 16 12 +----------------+ | | | | | | | ** | | *** *** | | ****** | | ** | | | | | | | | | | | +----------------+ 7 4 12 5 6 1 +------+ | *** | +------+ 3 0 2 0 7 15 +-------+ | | | * | | **** | | *** *| | ***| | ***| | ** | | ***| | *** | | ** | | ***** | | ** ** | | ***** | | **** | | *** | +-------+ 4 2 4 14 3 17 +---+ | | | | | | | | | | | | | | | | | **| |** | | * | | * | | | | | | | | | | | +---+ 1 8 1 11 1 14 +-+ | | | | | | | | |*| |*| | | | | | | | | | | | | | | | | +-+ 0 5 0 4 10 4 +----------+ | | | | | | | **** | +----------+ 3 3 6 3 18 17 +------------------+ | | | | | | | | | | | | | | | * | | ** | | * | | * | | * | | * | | * | | * | | | | | +------------------+ 15 13 15 7 12 4 +------------+ | * * ***| | ****** *| | *** | | | +------------+ 11 1 5 0 11 3 +-----------+ | | | ** | | | +-----------+ 4 1 5 1 20 4 +--------------------+ | | | | | ***** | | *** | +--------------------+ 13 3 9 2 4 4 +----+ | * | | **| | **| | * | +----+ 2 0 2 3 18 8 +------------------+ | | | ** ** | | ***** | | ******* | | *** | | * | | | | | +------------------+ 13 4 8 3 1 18 +-+ |*| |*| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +-+ 0 0 0 1 11 14 +-----------+ | | | ***| | ******| | ******| | **** | | **** | | ** | | ** | | **** | | **** | | **** | | | | | | | +-----------+ 5 2 9 8 14 15 +--------------+ |***** | |*** ** | | * * | | ****** | | ****** | | ***** | | * | | * | | * | | *** | | ** | | ** | | | | | | | +--------------+ 7 11 3 0 3 10 +---+ | | | | |* | |* | |* | |* | | | | | | | | | +---+ 0 5 0 2 4 16 +----+ | | | | | | | | | | | | | | | | | | | | | ** | | ** | | | | | | | | | +----+ 1 10 2 10 16 1 +----------------+ | *************| +----------------+ 15 0 3 0 4 2 +----+ |*** | |* | +----+ 0 1 2 0 3 16 +---+ | | | | | | | | | | | | | | |* | |* | |* | | | | | | | | | | | | | +---+ 0 7 0 9 2 15 +--+ | | | | | | |* | |* | |* | |* | |**| |**| |**| | | | | | | | | | | +--+ 1 9 0 3 3 15 +---+ | | | | | | |* | |* | |* | |* | |* | |* | |* | | | | | | | | | | | +---+ 0 9 0 3 12 20 +------------+ | | | | | | | | | | | | | | | | | * | | ** | | **** | | ** | | ** | | *** | | * * | | ***** | | | | | | | | | +------------+ 10 10 4 15 11 8 +-----------+ | | | | | *| | *| | * * ***| | ****** | | ***** | | ******** | +-----------+ 10 2 1 7 14 10 +--------------+ | *** | | **** | |**** * | |**** *** | |* * ** | | * *** | | ***** | | *** * | | **** * | | ****** | +--------------+ 1 0 6 9 12 7 +------------+ | | | | | | | ***** | | ** | | ** | | | +------------+ 8 4 3 3 17 10 +-----------------+ | | | | | | | | | *** | | * | | * | | ** | | ***** | | *** | +-----------------+ 1 4 5 8 2 12 +--+ | | | | | | |* | |* | | | | | | | | | | | | | | | +--+ 0 3 0 4 6 10 +------+ | | | | | | | | | ** | | * | | * | | * | | * | | | +------+ 4 4 3 8 2 13 +--+ | | | | | *| | *| | | | | | | | | | | | | | | | | | | +--+ 1 3 1 2 18 6 +------------------+ | *** | | ********** | | * * | | | | | | | +------------------+ 2 0 10 1 20 5 +--------------------+ | ***** | | ******** | | ********* | | ** ** | | | +--------------------+ 16 1 8 2 18 9 +------------------+ | | | | | **** | | ********* | | * ***** | | **** ** | | *** | | ** | | | +------------------+ 11 2 3 7 20 4 +--------------------+ | **** | | ******** | | ****** | | | +--------------------+ 7 0 14 1 20 9 +--------------------+ | | | | | | | *** | | **** | | | | | | | | | +--------------------+ 1 3 6 4 12 20 +------------+ | | | | |* | |* | |* | |** | |***** | | ** | | | | | | | | | | | | | | | | | | | | | | | | | +------------+ 5 7 0 2 8 18 +--------+ | * | |**** | | **** | | * ** | | ** | | | | | | | | | | | | | | | | | | | | | | | | | | | +--------+ 4 4 1 0 1 15 +-+ | | | | | | |*| |*| |*| |*| | | | | | | | | | | | | | | | | +-+ 0 3 0 6 17 12 +-----------------+ | | | | | | | *** | | ***** *** | | *********** | | **** | | * | | | | | | | | | +-----------------+ 2 4 12 5 19 15 +-------------------+ | | | | | | | | | | | ** | | ** * | | *** *** | | *** * | | * | | * | | **| | **| | **| | **| +-------------------+ 10 5 17 14 14 20 +--------------+ | | | | | | | | | | | | | | | | | | | * | | * | |** | | * | | * | | * | | * | | * | | ** | |** | | * | +--------------+ 0 18 1 9 3 18 +---+ | | | | | | | | | | | | | | | | | | | | | | | | | **| | *| | *| | *| | | | | +---+ 2 13 2 15 7 15 +-------+ | | | | | | | | | | | | | | | | | | | ** | | ** | | ** | | ** | |*** | |** | +-------+ 0 14 2 9 7 15 +-------+ | *| | *| | *| | *| | | | | | | | | | | | | | | | | | | | | | | +-------+ 6 0 6 3 20 3 +--------------------+ | ****** | | ** **** | | *** ** | +--------------------+ 8 2 11 0 6 13 +------+ | *| | ***| | * | | * | | * | | * | | * | | * | | ** | | ** | | | | | | | +------+ 5 1 3 9 5 19 +-----+ | | | | | | | | | | | *| | **| | **| | *| | ***| | *| | **| | **| | | | | | | | | | | | | +-----+ 3 11 4 5 12 2 +------------+ | ** | |**** | +------------+ 3 0 0 1 14 5 +--------------+ | * | | ***** | | ***** | | ******* | | ** *** | +--------------+ 4 1 10 3 10 5 +----------+ | *** | | ** | | ** | | | | | +----------+ 6 0 6 2 20 16 +--------------------+ | | | ** | | ** | | *** | | *** | | *** | | ** | | ** | | ****| | ****| | ** | | **** | | ***** | | ******* | | ***** | | * ** | +--------------------+ 13 14 17 1 9 20 +---------+ | *** | | ** ** | |****** | |****** | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +---------+ 1 0 1 3 16 6 +----------------+ |**** | |******** | | **** | | *** | | *** | | | +----------------+ 1 0 8 4 3 7 +---+ | | | | | | | | |***| |** | |* | +---+ 2 4 0 6 14 3 +--------------+ | *** | | | | | +--------------+ 6 0 8 0 20 6 +--------------------+ | ** | | *** * | | ********** | | *** | | | | | +--------------------+ 3 0 14 2 7 13 +-------+ | | | | | | | | | | | * | | ** | | ** | | ** | | *** | | *** | | *** | | | +-------+ 2 7 2 11 12 4 +------------+ | | | | | | | *** | +------------+ 7 3 5 3 9 7 +---------+ | *** | | ***** | | ** | | * | | | | | | | +---------+ 7 3 3 0 11 12 +-----------+ | | | | | | | | | ** | | * | | * | | | | | | | | | | | +-----------+ 8 6 7 4 4 14 +----+ | | | | | | | ** | | ** | |****| |****| |****| | ***| | ***| | ***| | * | | | | | +----+ 1 3 2 11 17 6 +-----------------+ |**** * | | * **** | |***** * | |******* | | * | | | +-----------------+ 0 3 6 0 7 3 +-------+ |*** | |*** | | | +-------+ 1 0 0 0 16 15 +----------------+ | | | | | | | | | | | | | | | **** * | | * ***** | | ****** | | *** * | | * * | | *** | | * | | | +----------------+ 14 12 5 8 19 8 +-------------------+ | | | ** | |*** | | * | | | | | | | | | +-------------------+ 1 3 1 1 17 11 +-----------------+ | | | | | | | | | | | ******* | | ********* | | ** **** | | ** ** | | | | | +-----------------+ 4 8 12 6 11 2 +-----------+ |*** *****| | ***** * | +-----------+ 10 0 0 0 19 20 +-------------------+ | | | | | | | | | | | | | | | | | * | | * | | **** | | ** | | ** | | ** | | * * | | *** | | *** | | ********* | | ** | | ** | +-------------------+ 3 17 15 8 1 16 +-+ | | |*| |*| |*| |*| |*| |*| |*| |*| |*| |*| |*| |*| | | | | | | +-+ 0 1 0 12 6 19 +------+ | | | | |** | |** | |** | |*** | |** | | | | | | | | | | | | | | | | | | | | | | | | | +------+ 1 2 0 6 20 11 +--------------------+ | | | | | | | | | | | ** | | *********** ****| | ** **** ** | | *** ***** | | **** | | ** | +--------------------+ 2 8 19 6 8 18 +--------+ | | | * | | **| | *| | *| | *| | ***| | ** | | **** | | ***| | ***| | ****| | * | | | | | | | | | | | +--------+ 7 11 6 1 18 16 +------------------+ | | | | | * | | * | | * | | ** | | * | | * | | ** | | ** | | * | | * | | ** | | | | | | | +------------------+ 14 12 15 2 1 17 +-+ | | | | | | | | | | | | | | | | | | | | | | |*| |*| |*| |*| |*| | | +-+ 0 12 0 15 1 12 +-+ | | |*| |*| | | | | | | | | | | | | | | | | | | +-+ 0 1 0 2 20 2 +--------------------+ | ****************| | * ** ** **| +--------------------+ 4 0 19 0 11 20 +-----------+ | ** | | *** | | *** | | ** | | **** | | * ** | | **** | | *** | | ** * | | **** | | *** | | ** | | | | | | | | | | | | | | | | | +-----------+ 7 1 3 11 2 20 +--+ | | | | | *| | *| | *| |**| |**| | *| |**| |**| | *| | | | | | | | | | | | | | | | | | | +--+ 1 2 1 10 16 4 +----------------+ | *** | | * | | * | | | +----------------+ 5 0 7 2 10 9 +----------+ | | | *** | | ***** | | ***** | | ** | | | | | | | | | +----------+ 4 3 6 1 9 8 +---------+ | | | | | | | | | * | | * | | *** | |**** | +---------+ 0 7 3 7 1 12 +-+ | | | | |*| |*| |*| |*| |*| |*| |*| |*| |*| |*| +-+ 0 2 0 11 3 16 +---+ | | | | | **| |***| |***| | *| | | | | | | | | | | | | | | | | | | | | +---+ 2 2 0 4
Problem Id: 
12807