mirror of
https://bitbucket.org/Mattrixwv/projecteulerlua.git
synced 2025-12-06 17:43:57 -05:00
52 lines
1.9 KiB
Lua
52 lines
1.9 KiB
Lua
--ProjectEuler/lua/Problem6.lua
|
|
--Matthew Ellison
|
|
-- Created: 02-06-19
|
|
--Modified: 06-19-20
|
|
--Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum
|
|
--All of my requires, unless otherwise listed, can be found at https://bitbucket.org/Mattrixwv/luaClasses
|
|
--[[
|
|
Copyright (C) 2020 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 timer = Stopwatch:create();
|
|
timer:start();
|
|
|
|
--Create the variables you need
|
|
local sumOfSquares = 0;
|
|
local squareOfSum = 0;
|
|
--Loop through all numbers 1-100 to do the appropriate math with them
|
|
for num=1,100 do
|
|
sumOfSquares = sumOfSquares + num^2; --Get the sum of the squares of the first 100 natural number
|
|
squareOfSum = squareOfSum + num; --Get the sum of the first 100 natural numbers
|
|
end
|
|
--Square the normal sum
|
|
squareOfSum = squareOfSum^2;
|
|
|
|
timer:stop();
|
|
|
|
--Print the result
|
|
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)));
|
|
print("It took " .. timer:getMicroseconds() .. " microseconds to run this algorithm");
|
|
|
|
--[[Results:
|
|
The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
|
|
It took 53 microseconds to run this algorithm
|
|
]]
|