Almost finished problem 11

e_11.data

@@ -0,0 +1,20 @@
+ 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

e_11.py

@@ -5,37 +5,53 @@
  #Created on : Fri Jan 13 15:59:15 CET 2012
  #
  # DESCRIPTION : Solves problem 11 of Project Euler
- 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
-
  What is the greatest product of four adjacent numbers in any direction 
  (up, down, left, right, or diagonally) in the 20x20 grid? 
+ (gris is saved into e_11.data
  ##---
 """
-def great_prod_grid():
+from operator import mul
+
+def great_prod_grid(filename, square_size):
     """
     Returns the greatest product of 4 adjacent numbers in the grid.
     """
-    
-    return 1
+    data = load_data(filename)
+    great_prod  = 0 
+    for j in range(square_size - 3):
+        for k in range(square_size - 3):
+            # 3 possibilities here
+            a = data[j][k:k + 4]
+            b = []
+            c = []
+            for l in range(4):
+                b.append(data[j + l][k]) 
+                c.append(data[j + l][k + l])
+            if j == square_size - 4:
+                if k == square_size - 4:
+                    print a, b, c                        
+            for val in [a, b, c]:
+                prod = prod_list(val)
+                if prod > great_prod:            
+                    great_prod = prod
+    return great_prod
+
+def prod_list(data):
+    """
+    Returns the product of all elements in a list of integers
+    """
+    return reduce(mul, data)
+
+def load_data(filename):
+    """
+    Loads the data from a file into a table
+    """
+    file = open(filename, "r")
+    data = []
+    for line in file :
+        data.append([int(el) for el in line.split( )])
+    file.close()        
+    return data
 
 if __name__ == '__main__':
-    print "Answer : %d" % (great_prod_grid())
+    print "Answer : %d" % (great_prod_grid("./e_11.data", 20))