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汽车加油行驶问题(习题3-16)
问题描述:
给定一个N*N 的方形网格,设其左上角为起点,坐标为(1,1),X 轴向右为正,Y 轴向下为正,每个方格边长为1。一辆汽车从起点出发驶向右下角终点,其坐标为(N,N)。
在若干个网格交叉点处,设置了油库,可供汽车在行驶途中加油。汽车在行驶过程中应遵守如下规则:
(1)汽车只能沿网格边行驶,装满油后能行驶K 条网格边。出发时汽车已装满油,在起点与终点处不设油库。
(2)当汽车行驶经过一条网格边时,若其X 坐标或Y 坐标减小,则应付费用B,否则免付费用。
(3)汽车在行驶过程中遇油库则应加满油并付加油费用A。
(4)在需要时可在网格点处增设油库,并付增设油库费用C(不含加油费用A)。
(5)(1)~(4)中的各数N、K、A、B、C均为正整数。
算法设计:
求汽车从起点出发到达终点的一条所付费用最少的行驶路线。
-Driving automobile fuel problem (Exercise 3-16)
Problem descr iption:
Given an N* N square grid, set the upper left corner as a starting point, coordinates (1,1), X-axis to the right is positive, Y axis under
Positive side of each square is 1. A car starting from the starting point towards the lower right corner of the end, the coordinates (N, N).
In a number of grid intersection points, set the oil tanks, fuel for the car is moving his way. Car in motion the process to be observed, such as
The following rules:
(1) The car can only travel along the grid edge, full of oil can travel the grid section K edge. Starting when the car was filled with oil, in the beginning and the end
No point depot.
(2) When the vehicle driving through a mesh edge, if the X coordinate or Y coordinate decreases, the fees payable B, or toll-free
Use.
(3) vehicles in the process of moving the event should fill up and pay for fuel oil storage costs A.
(4) when required grid points in the addi
问题描述:
给定一个N*N 的方形网格,设其左上角为起点,坐标为(1,1),X 轴向右为正,Y 轴向下为正,每个方格边长为1。一辆汽车从起点出发驶向右下角终点,其坐标为(N,N)。
在若干个网格交叉点处,设置了油库,可供汽车在行驶途中加油。汽车在行驶过程中应遵守如下规则:
(1)汽车只能沿网格边行驶,装满油后能行驶K 条网格边。出发时汽车已装满油,在起点与终点处不设油库。
(2)当汽车行驶经过一条网格边时,若其X 坐标或Y 坐标减小,则应付费用B,否则免付费用。
(3)汽车在行驶过程中遇油库则应加满油并付加油费用A。
(4)在需要时可在网格点处增设油库,并付增设油库费用C(不含加油费用A)。
(5)(1)~(4)中的各数N、K、A、B、C均为正整数。
算法设计:
求汽车从起点出发到达终点的一条所付费用最少的行驶路线。
-Driving automobile fuel problem (Exercise 3-16)
Problem descr iption:
Given an N* N square grid, set the upper left corner as a starting point, coordinates (1,1), X-axis to the right is positive, Y axis under
Positive side of each square is 1. A car starting from the starting point towards the lower right corner of the end, the coordinates (N, N).
In a number of grid intersection points, set the oil tanks, fuel for the car is moving his way. Car in motion the process to be observed, such as
The following rules:
(1) The car can only travel along the grid edge, full of oil can travel the grid section K edge. Starting when the car was filled with oil, in the beginning and the end
No point depot.
(2) When the vehicle driving through a mesh edge, if the X coordinate or Y coordinate decreases, the fees payable B, or toll-free
Use.
(3) vehicles in the process of moving the event should fill up and pay for fuel oil storage costs A.
(4) when required grid points in the addi
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