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52 lines
1.9 KiB
Lua
52 lines
1.9 KiB
Lua
--ProjectEuler/lua/Problem6.lua
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--Matthew Ellison
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-- Created: 02-06-19
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--Modified: 06-19-20
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--Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum
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--All of my requires, unless otherwise listed, can be found at https://bitbucket.org/Mattrixwv/luaClasses
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--[[
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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]]
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require "Stopwatch"
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local timer = Stopwatch:create();
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timer:start();
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--Create the variables you need
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local sumOfSquares = 0;
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local squareOfSum = 0;
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--Loop through all numbers 1-100 to do the appropriate math with them
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for num=1,100 do
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sumOfSquares = sumOfSquares + num^2; --Get the sum of the squares of the first 100 natural number
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squareOfSum = squareOfSum + num; --Get the sum of the first 100 natural numbers
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end
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--Square the normal sum
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squareOfSum = squareOfSum^2;
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timer:stop();
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--Print the result
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print("The difference between the sum of the squares and the square of the sum of the numbers 1-100 is " .. math.floor(math.abs(sumOfSquares - squareOfSum)));
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print("It took " .. timer:getMicroseconds() .. " microseconds to run this algorithm");
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--[[Results:
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The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
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It took 53 microseconds to run this algorithm
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]]
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