The maps inside grep decreases $t and $b by the right amount of "intersections" for each roman letter and the grep ends up being true for each roman number by !$t&!$b if both $t and $b are zero (which means they started as the numbers we wanted in the input parameters).If you’re curious about medieval chord progressions, you’ve come to the right post. The grep filters that list so that only the ones with the wanted input $t (top) and $b (bottom) numbers are returned.
ROMAN NUMERAL IVI CODE
(One could just add more M's to get larger numbers, if so, just increase 4e3 here to whatever time you have to wait for the result.this is code golf where we optimize for code length, not runtime:) Since there is no letter for 500 and so on, it's reasonable to say that the maximum roman number is 3999=MMMCMXCIX. The map at the end turns all integers 1 – 4000 into their roman equivalent. With spaces and newlines added for readability: sub = 'I' x $_ The next part just checks if the list is ordered. SUB-NBR-SUB sandwiches, like IVI are falsified. It then checks for the possible subtraction numeral before any numeral (The possible subtraction roman numeral is either 2 or 1 positions after the real roman numeral in the list of 'MDCLXVI', depending on the parity of the roman numerals index on that list!) If any are found, they are replaced for the next part as with just the real numeral, without the subtraction numeral. To check if a character string is a roman number, t(c) checks if there are any 4 characters in a row, or two in the case of 50 and 500. If a and b are negative when called, the function exits, and if both are zero, the next function checks if it is a valid roman number, and prints accordingly. To formulate all numerals with certain amount (a and b) of cross points, m() subtracts number of cross points of every numeral from a and b, and recursively calls the function again for every case. :Dĭescription of the old function, which remains can still be found in the code:
ROMAN NUMERAL IVI UPDATE
I took a single Byte off it so I felt justified to update it.
![roman numeral ivi roman numeral ivi](https://themultiplicationtable.com/wp-content/uploads/2021/01/Printable-Roman-Numerals-1-To-10.jpg)
Jo King managed to squeeze this logic from 449 to just 364 bytes, My first try on Code Golf, please point out some optimizations!
![roman numeral ivi roman numeral ivi](http://untitled-magazine.com/online/wp-content/uploads/2016/04/ivy-park-2.jpg)
ROMAN NUMERAL IVI HOW TO
See this 05AB1E tip of mine (sections How to compress large integers? and How to compress integer lists?) to understand why # (after the filter, the result is output implicitly) Q # And check if it's equal to the (implicit) input-pair Ø # Zip/transpose so we have inner lists of top/bottom values È # Index those into the list of pairs (with automatic wrap-around) Ç # Convert its characters to their unicode valuesĨ7% # Take modulo-87 for each (I=73 V=86 X=1 L=76 C=67 D=68 M=77) S # Swap to get the current Roman number we're filtering on X # Convert each integer to a Roman numberĤв # Convert it to base-4 as list:
![roman numeral ivi roman numeral ivi](http://1.bp.blogspot.com/-CLYSk8Q6jaE/UV2MtPvwYqI/AAAAAAAAFVU/x9N4dI3bn9s/s1600/100+Door+Codes+Solutions+(2).jpg)
7 bytes thanks to it online or verify all test cases.Įxplanation: žD # Push builtin 4096 (the maximum Roman number is 3999) This is a usual code-golf, and needless to say, I'm interested to see how golf languages implement roman numeral counting rules. (note that IIC, and IID are not valid numbers. Output: III, IX, XI, LV, XC, CII, CX, CCI, CCC, DII, DX, DCI, DCC (note that DD is not a valid roman numeral, and thus should not be outputted, the value of all of these is (in order) 2, 10, 99, 101, 499, 501) Your job is to take in 2 numbers, which represent the number of intersections on the top and bottom of your line (in that order), and output all possible valid combinations of roman numerals, from smallest by literal value to largest. The value of all roman numerals is as follows:Īnd the number of intersections (top, bottom) is: For example: I, or 1 intersects both the top and bottom of the line, and V or 5 intersects the bottom and top lines, the top twice and the bottom at one place.
![roman numeral ivi roman numeral ivi](https://i.pinimg.com/236x/c3/c2/12/c3c21276cc75bbf8ec1741528b56e4c0.jpg)
Roman numerals can be (mostly) written in a one column format, because each letter intersects the top and the bottom of the line.