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Problem16.lua

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+--ProjectEuler/lua/Problem16.lua
+--Matthew Ellison
+-- Created: 02-07-19
+--Modified: 03-28-19
+--What is the sum of the digits of the number 2^1000?
+--All of my requires, unless otherwise listed, can be found at https://bitbucket.org/Mattrixwv/luaClasses
+--I used the bigint library from https://github.com/empyreuma/bigint.lua
+--[[
+	Copyright (C) 2019  Matthew Ellison
+
+	This program is free software: you can redistribute it and/or modify
+	it under the terms of the GNU Lesser General Public License as published by
+	the Free Software Foundation, either version 3 of the License, or
+	(at your option) any later version.
+
+	This program is distributed in the hope that it will be useful,
+	but WITHOUT ANY WARRANTY; without even the implied warranty of
+	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+	GNU Lesser General Public License for more details.
+
+	You should have received a copy of the GNU Lesser General Public License
+	along with this program.  If not, see <https://www.gnu.org/licenses/>.
+]]
+
+
+require "Stopwatch"
+local bigint = require("bigint")
+
+
+local timer = Stopwatch:create();
+timer:start();
+
+--Get the number
+local num = bigint.exponentiate(bigint.new(2), bigint.new(1000));
+
+--Change the number to the string
+local stringOfNum = bigint.unserialize(num, 's');
+
+--Step through the string one element at a time
+local sumOfNum = 0;
+for location=1,string.len(stringOfNum) do
+	--Treat the character like a num and add it to the sum
+	sumOfNum = sumOfNum + string.sub(stringOfNum, location, location);
+end
+
+timer:stop();
+
+--Print the results
+print("2^1000 = " .. stringOfNum);
+print("The sum of the digits is: " .. math.floor(sumOfNum));
+print("It took " .. timer:getMilliseconds() .. " milliseconds to run this algorithm");
+
+--[[Results:
+2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
+The sum of the digits is: 1366
+It took 352.0 milliseconds to run this algorithm
+]]