Problem11.py

import sys
import time

strt = time.time()

s = map(int, """08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48""".replace("\n"," ").split(" "))

rowSize = 20

def mul(myList,myIndex,direction,rowSize,mySkip=None):
	myMul = 1
	myRange = []
	if direction == "RIGHT":
		myRange = range(4)
	elif direction == "DOWN":
		myRange = range(0,3*rowSize+1,rowSize)
	elif direction == "DiagRight":
		myRange = range(0,4*rowSize,rowSize+1)
	elif direction == "DiagLeft":
		myRange = range(0,3*rowSize,rowSize-1)
	else:
		print "Wrong Direction Syntax"
		sys.exit()
	#tst = [elem+myIndex for elem in myRange]
	#print "Range = ", tst
	
	for i in myRange:
		if not myList[i+myIndex]:
			return 0
		#print myList[i+myIndex]
		else:
			myMul *= myList[i+myIndex]
	
	#print "Multiplication = ",myMul	
	return myMul

myS = s[0:4]
myTry = mul(myS,0,"RIGHT",4)
myR = range(4)

for i in range(len(s)-3):
	#print i
	#print myTry
	#We don't have to multiply in all dir. 	
	
	#Case current element is Zero then all mutlplication(Right, Left, Down, Diagonal are Zero)
	if not s[i]:
		continue
	#Case element is in first three columns and before last three rows 	
	elif i < 3 or i % 20 < 3 and i < len(s)-3*rowSize:
		#print "case1 - RDDr"
		myTry = max(myTry,mul(s,i,"RIGHT",rowSize),mul(s,i,"DOWN",rowSize),mul(s,i,"DiagRight",rowSize))
	#Case element in Last three colums and before last three rows
	elif i in range(17,21) or i % 20 > 16 and i < len(s)-3*rowSize:
		#print "case2 - DDl"
		myTry = max(myTry,mul(s,i,"DOWN",rowSize),mul(s,i,"DiagLeft",rowSize))
	#Case element before last three rows
	elif i >= len(s) - 3*rowSize:
		#print "case3 - R"
		myTry = max(myTry,mul(s,i,"RIGHT",rowSize))
	#Case regular
	else:
		#print "case4 - ALL"
		myTry = max(myTry,mul(s,i,"RIGHT",rowSize),mul(s,i,"DOWN",rowSize),mul(s,i,"DiagRight",rowSize),mul(s,i,"DiagLeft",rowSize))
		
	#print "Max of Product of four adjacent numbers = ",myTry
	
print "Max of Product of four adjacent numbers = ",myTry
print "Processing time = ", time.time() - strt