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78 lines
2.1 KiB
Lua
78 lines
2.1 KiB
Lua
--ProjectEuler/lua/Problem31.lua
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-- Created: 06-19-20
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--Modified: 06-19-20
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--How many different ways can £2 be made using any number of coins?
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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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--Setup the variables
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local timer = Stopwatch:create();
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local desiredValue = 200;
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local permutations = 0;
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--Start the timer
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timer:start();
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--Start with 200p and remove the necessary coins with each loop
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local pound2 = desiredValue;
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while(pound2 >= 0) do
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local pound1 = pound2;
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while(pound1 >= 0) do
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local pence50 = pound1;
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while(pence50 >= 0) do
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local pence20 = pence50;
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while(pence20 >= 0) do
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local pence10 = pence20;
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while(pence10 >= 0) do
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local pence5 = pence10;
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while(pence5 >= 0) do
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local pence2 = pence5;
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while(pence2 >= 0) do
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permutations = permutations + 1;
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pence2 = pence2 - 2;
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end
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pence5 = pence5 - 5;
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end
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pence10 = pence10 - 10;
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end
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pence20 = pence20 - 20;
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end
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pence50 = pence50 - 50;
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end
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pound1 = pound1 - 100;
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end
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pound2 = pound2 - 200;
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end
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--Stop the timer
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timer:stop();
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--Print the results
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io.write("There are " .. permutations .. " ways to make 2 pounds with the given denominations of coins\n");
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io.write("It took " .. timer:getString() .. " to run this algorithm\n");
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--[[ Results:
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There are 73682 ways to make 2 pounds with the given denominations of coins
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It took 1.000 milliseconds to run this algorithm
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]]
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