Without a calculator, work out the cheapest route from Los Angeles to Las Vegas:
You can move from square to square horizontally or vertically (but not diagonally). Each time you enter a square you have to pay the amount shown.
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There are 10 different five step routes from Los Angeles to Las Vegas.
Los Angeles - 712 - 463 - 372 - 425 - Las Vegas [Total = 1972]
Los Angeles - 712 - 463 - 287 - 425 - Las Vegas [Total = 1887]
Los Angeles - 712 - 463 - 287 - 859 - Las Vegas [Total = 2321]
Los Angeles - 712 - 740 - 287 - 425 - Las Vegas [Total = 2164]
Los Angeles - 712 - 740 - 287 - 859 - Las Vegas [Total = 2598]
Los Angeles - 712 - 740 - 411 - 859 - Las Vegas [Total = 2722]
Los Angeles - 848 - 740 - 287 - 425 - Las Vegas [Total = 2300]
Los Angeles - 848 - 740 - 287 - 859 - Las Vegas [Total = 2734]
Los Angeles - 848 - 740 - 411 - 859 - Las Vegas [Total = 2858]
Los Angeles - 848 - 367 - 411 - 859 - Las Vegas [Total = 2485]
So the cheapest route costs 1887 (dollars). Here is a way of getting that total:
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