Python: Compute the maximum value of the sum of the passing integers
Python Basic - 1: Exercise-61 with Solution
Arrange integers (0 to 99) as narrow hilltop, as illustrated in Figure 1. Reading such data representing huge, when starting from the top and proceeding according to the next rule to the bottom. Write a Python program that compute the maximum value of the sum of the passing integers according to the following rules.
At each step, you can go to the lower left diagonal or the lower right diagonal. For example, in the example of FIG. 1, as shown in FIG. 2, when 8,4,9,8,6,8,9,4,8 is selected and passed, the sum is 64 (8 + 4 + 9) + 8 + 6 + 8 + 9 + 4 + 8 = 64)
A series of integers separated by commas are given in diamonds. No spaces are included in each line. The input example corresponds to Figure 1. The number of lines of data is less than 100 lines.
import sys print("Input the numbers (ctrl+d to exit):") x = [list(map(int, l.split(","))) for l in sys.stdin] dp = x for i in range(1, (len(x)+1)//2): _dp = *(i+1) for j in range(i): _dp[j] = max(_dp[j], dp[j]+x[i][j]) _dp[j+1] = max(_dp[j+1], dp[j]+x[i][j+1]) dp = _dp for i in range((len(x)+1)//2, len(x)): _dp = *(len(dp)-1) for j in range(len(_dp)): _dp[j] = max(dp[j], dp[j+1]) + x[i][j] dp = _dp print("Maximum value of the sum of integers passing according to the rule on one line.") print(dp)
Input the numbers (ctrl+d to exit): 8 4, 9 9, 2, 1 3, 8, 5, 5 5, 6, 3, 7, 6 3, 8, 5, 5 9, 2, 1 4, 9 8 Maximum value of the sum of integers passing according to the rule on one line. 64
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