From e4baa3e67aaaba0eb0358a0f48ed65bc01b0326b Mon Sep 17 00:00:00 2001
From: "Yann Esposito (Yogsototh)" <Yann.Esposito@gmail.com>
Date: Fri, 9 Dec 2011 14:57:54 +0100
Subject: [PATCH] Problem 63 solved

---
 063.hs | 15 +++++++++++++++
 1 file changed, 15 insertions(+)
 create mode 100644 063.hs

diff --git a/063.hs b/063.hs
new file mode 100644
index 0000000..460d274
--- /dev/null
+++ b/063.hs
@@ -0,0 +1,15 @@
+-- Problem 63
+-- 13 February 2004
+--
+-- The 5-digit number, 16807=7^5, is also a fifth power. Similarly, the 9-digit number, 134217728=8^9, is a ninth power.
+--
+-- How many n-digit positive integers exist which are also an nth power?
+
+powers n = map (^n) [1..100]
+
+is_solution n x = (x >= 10^(n-1)) && (x < 10^n)
+
+find n = filter (is_solution n) (powers n)
+
+main = do
+    print $ sum $  map (length . find) [1..100]