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77 lines
1.9 KiB
Matlab
77 lines
1.9 KiB
Matlab
function [] = Problem31()
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%ProjectEuler/Octave/Problem31.m
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%Matthew Ellison
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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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%{
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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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%Setup the variables
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desiredValue = 200;
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permutations = 0;
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%Start the timer
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startTime = clock();
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%Start with 200p and remove the necessary coins with each loop
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pound2 = desiredValue;
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while(pound2 >= 0)
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pound1 = pound2;
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while(pound1 >= 0)
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pence50 = pound1;
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while(pence50 >= 0)
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pence20 = pence50;
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while(pence20 >= 0)
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pence10 = pence20;
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while(pence10 >= 0)
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pence5 = pence10;
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while(pence5 >= 0)
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pence2 = pence5;
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while(pence2 >= 0)
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permutations += 1;
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pence2 -= 2;
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end
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pence5 -= 5;
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end
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pence10 -= 10;
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end
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pence20 -= 20;
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end
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pence50 -= 50;
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end
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pound1 -= 100;
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end
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pound2 -= 200;
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end
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%Stop the timer
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endTime = clock();
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%Print the results
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printf("There are %d ways to make 2 pounds with the given denominations of coins\n", permutations);
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printf("It took %f seconds to run this algorithm\n", etime(endTime, startTime))
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end
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%{
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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 0.122734 seconds to run this algorithm
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%}
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