From f32701fa2dfe49262a1178da4389a94da244a51e Mon Sep 17 00:00:00 2001
From: Linus Miller <lohfu@lohfu.io>
Date: Tue, 27 Mar 2018 16:19:49 +0200
Subject: [PATCH] Problems 9 - 11

---
 0009.py | 24 ++++++++++++++++
 0010.py | 14 ++++++++++
 0011.py | 85 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 123 insertions(+)
 create mode 100644 0009.py
 create mode 100644 0010.py
 create mode 100644 0011.py

diff --git a/0009.py b/0009.py
new file mode 100644
index 0000000..ced66ea
--- /dev/null
+++ b/0009.py
@@ -0,0 +1,24 @@
+import math
+
+
+for a in range(1, 333):
+    modulos = (1000**2 - 2000 * a) % (2000 - 2 * a)
+    # b = (1000^2 - 2000 * a) / (2000 - 2 * a)
+    if (modulos == 0):
+        b = (1000**2 - 2000 * a) / (2000 - 2 * a)
+        c = math.sqrt(a**2 + b**2)
+        print(a, b, c)
+        print(a * b * c)
+        break
+
+
+    # for b in range(333):
+    #     c = math.sqrt(a**2 + b**2)
+
+    #     if (a + b + c > 1000):
+    #         break
+
+    #     if (a + b + c == 1000):
+    #         print('FOUND!')
+    #         print(a, b, c)
+
diff --git a/0010.py b/0010.py
new file mode 100644
index 0000000..2006d26
--- /dev/null
+++ b/0010.py
@@ -0,0 +1,14 @@
+from functools import reduce
+
+primes = []
+
+i = 2
+
+for i in range(2, 2000000):
+    half = i / 2
+    if all(p > half or i % p != 0 for p in primes):
+        primes.append(i)
+
+result = reduce(lambda x, y: x + y, primes)
+print(primes)
+print(result)
diff --git a/0011.py b/0011.py
new file mode 100644
index 0000000..7e68c85
--- /dev/null
+++ b/0011.py
@@ -0,0 +1,85 @@
+from functools import reduce
+
+matrix = [
+    [ 8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8 ],
+    [ 49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0 ],
+    [ 81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65 ],
+    [ 52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 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, 3, 45, 2, 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, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21 ],
+    [ 24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72 ],
+    [ 21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95 ],
+    [ 78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92 ],
+    [ 16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57 ],
+    [ 86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58 ],
+    [ 19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40 ],
+    [ 4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66 ],
+    [ 88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69 ],
+    [ 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36 ],
+    [ 20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16 ],
+    [ 20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54 ],
+    [ 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48 ],
+]
+
+largest = 0
+
+last_x = 0
+last_y = 0
+
+def product(x,y):
+    return x * y
+
+for y in range(0, 20):
+    for x in range(0, 20):
+        print(x, y)
+        if (x + 4 <= 20):
+            nums = matrix[y][x:x+4]
+            result = reduce(product, nums)
+
+            print(nums)
+            print(result)
+
+            if (result > largest):
+                last_x = x
+                last_y = y
+                largest = result
+
+        if (y + 4 <= 20):
+            nums = [row[x] for row in matrix[y:y+4]]
+            result = reduce(product, nums)
+
+            print(nums)
+            print(result)
+
+            if (result > largest):
+                last_x = x
+                last_y = y
+                largest = result
+
+        if (x + 4 <= 20 and y + 4 <= 20):
+            nums = [row[x + i] for i, row in enumerate(matrix[y:y+4])]
+            result = reduce(product, nums)
+
+            print(nums)
+            print(result)
+
+            if (result > largest):
+                last_x = x
+                last_y = y
+                largest = result
+
+        if (x >= 4 and y + 4 <= 20):
+            nums = [row[x - i] for i, row in enumerate(matrix[y:y+4])]
+            result = reduce(product, nums)
+
+            print(nums)
+            print(result)
+
+            if (result > largest):
+                last_x = x
+                last_y = y
+                largest = result
+
+print(last_x, last_y, largest)