Base-16 representation
Show in decimal notation all positive integers (less than 501) which, when converted to hexadecimal notation, cannot be written without using at least one non-decimal digit ('a' to 'f').
- Task
ALGOL 68
<lang algol68>BEGIN # show numbers that when represented in hex, have at least one a-f digit #
INT h count := 0; FOR i TO 500 DO BITS v := BIN i; WHILE v /= 16r0 DO IF ABS ( v AND 16rf ) < 10 THEN v := v SHR 4 ELSE v := 16r0; print( ( " ", whole( i, -3 ) ) ); IF ( h count +:= 1 ) MOD 20 = 0 THEN print( ( newline ) ) FI FI OD OD
END</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
ALGOL W
<lang algolw>% show numbers that when represented in hex, have at least one a-f digit % begin
integer hCount; hCount := 0; for i := 1 until 500 do begin integer v; v := i; while v > 0 do begin if ( v rem 16 ) < 10 then v := v div 16 else begin % found a number that needs a-f in its hex representation % v := 0; hCOunt := hCOunt + 1; writeon( i_w := 3, s_w := 0, " ", i ); if hCount rem 20 = 0 then write() end if_hexDigit_lt_10__ end while_v_gt_0 end for_i
end.</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
APL
<lang APL>(⊢(/⍨)(10∨.≤16(⊥⍣¯1)⊢)¨)⍳500</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
AppleScript
Procedural
<lang applescript>local output, n, x, ding set output to {} repeat with n from 0 to 500
set x to n set ding to (x mod 16 > 9) repeat until ((x < 10) or (ding)) set x to x div 16 set ding to (x mod 16 > 9) end repeat if (ding) then set end of output to n
end repeat return output</lang>
- Output:
<lang applescript>{10, 11, 12, 13, 14, 15, 26, 27, 28, 29, 30, 31, 42, 43, 44, 45, 46, 47, 58, 59, 60, 61, 62, 63, 74, 75, 76, 77, 78, 79, 90, 91, 92, 93, 94, 95, 106, 107, 108, 109, 110, 111, 122, 123, 124, 125, 126, 127, 138, 139, 140, 141, 142, 143, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 266, 267, 268, 269, 270, 271, 282, 283, 284, 285, 286, 287, 298, 299, 300, 301, 302, 303, 314, 315, 316, 317, 318, 319, 330, 331, 332, 333, 334, 335, 346, 347, 348, 349, 350, 351, 362, 363, 364, 365, 366, 367, 378, 379, 380, 381, 382, 383, 394, 395, 396, 397, 398, 399, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500}</lang>
Functional
Defining a simple predicate, and composing a test with formatted output from a set of generic functions: <lang applescript>-------- INTEGERS NEEDING HEX DIGITS HIGHER THAN 9 -------
-- p :: Int -> Bool on p(n)
9 < n and (9 < (n mod 16) or p(n div 16))
end p
TEST -------------------------
on run
set upperLimit to 500 set w to length of (upperLimit as string) set xs to filter(p, enumFromTo(0, upperLimit)) unlines(map(intercalate(" "), ¬ {{length of xs as string, ¬ "matches for the predicate:", linefeed}} & ¬ chunksOf(6, map(justifyRight(w, space), xs))))
end run
GENERIC ------------------------
-- chunksOf :: Int -> [a] -> a on chunksOf(k, xs)
script on go(ys) set ab to splitAt(k, ys) set a to item 1 of ab if {} ≠ a then {a} & go(item 2 of ab) else a end if end go end script result's go(xs)
end chunksOf
-- enumFromTo :: Int -> Int -> [Int]
on enumFromTo(m, n)
if m ≤ n then set lst to {} repeat with i from m to n set end of lst to i end repeat lst else {} end if
end enumFromTo
-- filter :: (a -> Bool) -> [a] -> [a]
on filter(p, xs)
tell mReturn(p) set lst to {} set lng to length of xs repeat with i from 1 to lng set v to item i of xs if |λ|(v, i, xs) then set end of lst to v end repeat if {text, string} contains class of xs then lst as text else lst end if end tell
end filter
-- intercalate :: String -> [String] -> String
on intercalate(delim)
script on |λ|(xs) set {dlm, my text item delimiters} to ¬ {my text item delimiters, delim} set s to xs as text set my text item delimiters to dlm s end |λ| end script
end intercalate
-- justifyRight :: Int -> Char -> String -> String
on justifyRight(n, cFiller)
script on |λ|(x) set s to x as string if n > length of s then text -n thru -1 of ((replicate(n, cFiller) as text) & s) else s end if end |λ| end script
end justifyRight
-- mReturn :: First-class m => (a -> b) -> m (a -> b)
on mReturn(f)
-- 2nd class handler function lifted into 1st class script wrapper. if script is class of f then f else script property |λ| : f end script end if
end mReturn
-- map :: (a -> b) -> [a] -> [b]
on map(f, xs)
-- The list obtained by applying f -- to each element of xs. tell mReturn(f) set lng to length of xs set lst to {} repeat with i from 1 to lng set end of lst to |λ|(item i of xs, i, xs) end repeat return lst end tell
end map
-- Egyptian multiplication - progressively doubling a list, appending
-- stages of doubling to an accumulator where needed for binary
-- assembly of a target length
-- replicate :: Int -> String -> String
on replicate(n, s)
-- Egyptian multiplication - progressively doubling a list, -- appending stages of doubling to an accumulator where needed -- for binary assembly of a target length script p on |λ|({n}) n ≤ 1 end |λ| end script script f on |λ|({n, dbl, out}) if (n mod 2) > 0 then set d to out & dbl else set d to out end if {n div 2, dbl & dbl, d} end |λ| end script set xs to |until|(p, f, {n, s, ""}) item 2 of xs & item 3 of xs
end replicate
-- splitAt :: Int -> [a] -> ([a], [a])
on splitAt(n, xs)
if n > 0 and n < length of xs then if class of xs is text then {items 1 thru n of xs as text, ¬ items (n + 1) thru -1 of xs as text} else {items 1 thru n of xs, items (n + 1) thru -1 of xs} end if else if n < 1 then {{}, xs} else {xs, {}} end if end if
end splitAt
-- unlines :: [String] -> String
on unlines(xs)
-- A single string formed by the intercalation -- of a list of strings with the newline character. set {dlm, my text item delimiters} to ¬ {my text item delimiters, linefeed} set s to xs as text set my text item delimiters to dlm s
end unlines
-- until :: (a -> Bool) -> (a -> a) -> a -> a
on |until|(p, f, x)
set v to x set mp to mReturn(p) set mf to mReturn(f) repeat until mp's |λ|(v) set v to mf's |λ|(v) end repeat v
end |until|</lang>
- Output:
301 matches for the predicate: 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
AWK
<lang AWK>
- syntax: GAWK -f BASE-16_REPRESENTATION.AWK
BEGIN {
start = 1 stop = 500 for (i=start; i<=stop; i++) { if (sprintf("%X",i) ~ /[A-F]/) { printf("%4d%1s",i,++count%20?"":"\n") } } printf("\nIntegers when displayed in hex require an A-F, %d-%d: %d\n",start,stop,count) exit(0)
} </lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 Integers when displayed in hex require an A-F, 1-500: 301
BASIC
<lang basic>10 DEFINT I,J 20 FOR I=1 TO 500 30 J=I 40 IF (J AND 15)>=10 THEN PRINT I, ELSE J=J/16: IF J>9 THEN 40 50 NEXT I</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
BCPL
<lang bcpl>get "libhdr"
let nondec(x) =
x = 0 -> false, #XA <= (x & #XF) <= #XF -> true, nondec(x >> 4)
let start() be $( let c = 0
for n=1 to 500 if nondec(n) $( writed(n,4) c := c + 1 if c rem 20=0 then wrch('*N') $) wrch('*N')
$)</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
C++
<lang cpp>#include <iomanip>
- include <iostream>
// Returns true if the hexadecimal representation of n contains at least one // non-decimal digit. bool nondecimal(unsigned int n) {
for (; n > 0; n >>= 4) { if ((n & 0xF) > 9) return true; } return false;
}
int main() {
unsigned int count = 0; for (unsigned int n = 0; n < 501; ++n) { if (nondecimal(n)) { ++count; std::cout << std::setw(3) << n << (count % 15 == 0 ? '\n' : ' '); } } std::cout << "\n\n" << count << " such numbers found.\n";
}</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.
Cowgol
<lang cowgol>include "cowgol.coh";
sub nondecimal(n: uint16): (r: uint8) is
r := 0; while n != 0 loop if n & 15 >= 10 then r := 1; return; else n := n >> 4; end if; end loop;
end sub;
var i: uint16 := 0; var c: uint8 := 0; while i <= 500 loop
if nondecimal(i) != 0 then print_i16(i); if c<9 then print_char('\t'); c := c + 1; else print_nl(); c := 0; end if; end if; i := i + 1;
end loop; print_nl();</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
F#
<lang fsharp> // Base 16 representation: Nigel Galloway. June 3rd., 2021 let rec fN g=match g%16,g/16 with (n,0)->9<n |(n,g) when n<10->fN g |_->true seq{1..500}|>Seq.filter fN|>Seq.iter(printf "%d "); printfn "" </lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Factor
The non-decimal?
word is a translation of C++'s nondecimal
function. Having multiple exit points in a word is not very efficient (yet?) in Factor, so I've tweaked it to have one exit point at the end.
<lang factor>USING: combinators formatting grouping io kernel lists lists.lazy math prettyprint sequences ;
! Returns t if the hexadecimal representation of n contains a ! non-decimal digit.
- non-decimal? ( n -- ? )
{ { [ dup zero? ] [ drop f ] } { [ dup 0xF bitand 9 > ] [ drop t ] } [ -4 shift non-decimal? ] } cond ;
1 lfrom [ non-decimal? ] lfilter [ 501 < ] lwhile list>array dup 15 group [ [ "%3d " printf ] each nl ] each nl length pprint " such numbers found." print</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.
FOCAL
<lang FOCAL>01.10 S C=0 01.20 F N=1,500;D 2 01.30 T ! 01.40 Q
02.10 S X=N 02.20 S Y=FITR(X/16) 02.30 S Z=X-Y*16 02.40 I (Z-10)2.5,2.7,2.7 02.50 S X=Y 02.60 I (X),2.99,2.2 02.70 T %3,N 02.80 S C=C+1 02.90 I (C-10)2.99;T !;S C=0 02.99 R</lang>
- Output:
= 10= 11= 12= 13= 14= 15= 26= 27= 28= 29 = 30= 31= 42= 43= 44= 45= 46= 47= 58= 59 = 60= 61= 62= 63= 74= 75= 76= 77= 78= 79 = 90= 91= 92= 93= 94= 95= 106= 107= 108= 109 = 110= 111= 122= 123= 124= 125= 126= 127= 138= 139 = 140= 141= 142= 143= 154= 155= 156= 157= 158= 159 = 160= 161= 162= 163= 164= 165= 166= 167= 168= 169 = 170= 171= 172= 173= 174= 175= 176= 177= 178= 179 = 180= 181= 182= 183= 184= 185= 186= 187= 188= 189 = 190= 191= 192= 193= 194= 195= 196= 197= 198= 199 = 200= 201= 202= 203= 204= 205= 206= 207= 208= 209 = 210= 211= 212= 213= 214= 215= 216= 217= 218= 219 = 220= 221= 222= 223= 224= 225= 226= 227= 228= 229 = 230= 231= 232= 233= 234= 235= 236= 237= 238= 239 = 240= 241= 242= 243= 244= 245= 246= 247= 248= 249 = 250= 251= 252= 253= 254= 255= 266= 267= 268= 269 = 270= 271= 282= 283= 284= 285= 286= 287= 298= 299 = 300= 301= 302= 303= 314= 315= 316= 317= 318= 319 = 330= 331= 332= 333= 334= 335= 346= 347= 348= 349 = 350= 351= 362= 363= 364= 365= 366= 367= 378= 379 = 380= 381= 382= 383= 394= 395= 396= 397= 398= 399 = 410= 411= 412= 413= 414= 415= 416= 417= 418= 419 = 420= 421= 422= 423= 424= 425= 426= 427= 428= 429 = 430= 431= 432= 433= 434= 435= 436= 437= 438= 439 = 440= 441= 442= 443= 444= 445= 446= 447= 448= 449 = 450= 451= 452= 453= 454= 455= 456= 457= 458= 459 = 460= 461= 462= 463= 464= 465= 466= 467= 468= 469 = 470= 471= 472= 473= 474= 475= 476= 477= 478= 479 = 480= 481= 482= 483= 484= 485= 486= 487= 488= 489 = 490= 491= 492= 493= 494= 495= 496= 497= 498= 499 = 500
Forth
<lang forth>\ Returns true if the hexadecimal representation of n contains at least one \ non-decimal digit.
- non-decimal ( u -- ? )
begin dup 0 > while dup 15 and 9 > if drop true exit then 4 rshift repeat drop false ;
- main
0 501 0 do i non-decimal if 1+ i 3 .r dup 15 mod 0= if cr else space then then loop cr cr . ." such numbers found." cr ;
main bye</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.
Go
<lang go>package main
import (
"fmt" "strconv" "strings"
)
func main() {
const nondecimal = "abcdef" c := 0 for i := int64(0); i <= 500; i++ { hex := strconv.FormatInt(i, 16) if strings.ContainsAny(nondecimal, hex) { fmt.Printf("%3d ", i) c++ if c%15 == 0 { fmt.Println() } } } fmt.Printf("\n\n%d such numbers found.\n", c)
}</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.
Julia
<lang julia>usesletters = filter(n -> begin s = string(n, base = 16); any(c -> c in s, collect("abcdef")) end, 1:500)
foreach(p -> print(rpad(p[2], 4), p[1] % 15 == 0 ? "\n" : ""), enumerate(usesletters))
</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Nim
<lang Nim>import strutils, sugar
let list = collect(newSeq):
for n in 0..500: if not n.toHex.allCharsInSet(Digits): n
echo "Found ", list.len, " numbers between 0 and 500:\n" for i, n in list:
stdout.write ($n).align(3), if (i + 1) mod 19 == 0: '\n' else: ' '
echo()</lang>
- Output:
Found 301 numbers between 0 and 500: 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Perl
<lang perl>#!/usr/bin/perl
use strict; # https://rosettacode.org/wiki/Base-16_representation use warnings;
print join( ' ', grep sprintf("%x", $_) =~ tr/a-z//, 1 .. 500 ) =~
s/.{71}\K /\n/gr, "\n";</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Phix
with javascript_semantics function above9(integer n) return max(sprintf("%x",n))>'9' end function printf(1,"%s\n",{join(shorten(apply(filter(tagset(500),above9),sprint),"found",10))})
- Output:
10 11 12 13 14 15 26 27 28 29 ... 491 492 493 494 495 496 497 498 499 500 (301 found)
PL/M
<lang plm>100H: /* SHOW NUMBERS THAT WHEN REPRESENTED IN HEX, HAVE AT LEAST 1 A-F DIGIT */
/* CP/M BDOS SYSTEM CALL */ BDOS: PROCEDURE( FN, V ); DECLARE FN BYTE, V ADDRESS; GOTO 5; END; /* PRINTS A BYTE AS A CHARACTER */ PRINT$CHAR: PROCEDURE( C ); DECLARE C BYTE; CALL BDOS( 2, C ); END; /* PRINTS A $ TERMINATED STRING */ PRINT$STRING: PROCEDURE( S ); DECLARE S ADDRESS; CALL BDOS( 9, S ); END;
/* PRINTS A NUMBER IN THE MINIMUN FIELD WIDTH */ PRINT$NUMBER: PROCEDURE( N ); DECLARE N ADDRESS; DECLARE V ADDRESS, N$STR ( 6 )BYTE, W BYTE; V = N; W = LAST( N$STR ); N$STR( W ) = '$'; N$STR( W := W - 1 ) = '0' + ( V MOD 10 ); DO WHILE( ( V := V / 10 ) > 0 ); N$STR( W := W - 1 ) = '0' + ( V MOD 10 ); END; CALL PRINT$STRING( .N$STR( W ) ); END PRINT$NUMBER;
DECLARE ( H$COUNT, I, V ) ADDRESS; H$COUNT = 0; DO I = 1 TO 500; V = I; DO WHILE( V > 0 ); IF ( V AND 0FH ) < 0AH THEN V = SHR( V, 4 ); ELSE DO; V = 0; CALL PRINT$CHAR( ' ' ); IF I < 10 THEN CALL PRINT$CHAR( ' ' ); IF I < 100 THEN CALL PRINT$CHAR( ' ' ); CALL PRINT$NUMBER( I ); H$COUNT = H$COUNT + 1; IF H$COUNT >= 20 THEN DO; CALL PRINT$STRING( .( 0DH, 0AH, '$' ) ); H$COUNT = 0; END; END; END; END;
EOF</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Python
<lang python>Integers needing any alpha digits in hex
- p :: Int -> Bool
def p(n):
True if n requires any digits above 9 when expressed as a hexadecimal. return 9 < n and (9 < n % 16 or p(n // 16))
- ------------------------- TEST -------------------------
- main :: IO ()
def main():
Matches for the predicate p in the range [0..500] xs = [ str(n) for n in range(1, 1 + 500) if p(n) ] print(f'{len(xs)} matches for the predicate:\n') print( table(6)(xs) )
- ----------------------- GENERIC ------------------------
- chunksOf :: Int -> [a] -> a
def chunksOf(n):
A series of lists of length n, subdividing the contents of xs. Where the length of xs is not evenly divisible, the final list will be shorter than n. def go(xs): return ( xs[i:n + i] for i in range(0, len(xs), n) ) if 0 < n else None return go
- table :: Int -> [String] -> String
def table(n):
A list of strings formatted as right-justified rows of n columns. def go(xs): w = len(xs[-1]) return '\n'.join( ' '.join(row) for row in chunksOf(n)([ s.rjust(w, ' ') for s in xs ]) ) return go
- MAIN ---
if __name__ == '__main__':
main()</lang>
- Output:
301 matches for the predicate: 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Quackery
<lang Quackery> [ false swap
[ dup 0 != while 16 /mod 9 > iff [ dip not ] done again ] drop ] is haslet ( n --> b )
[] 501 times [ i^ haslet if [ i^ number$ nested join ] ] 60 wrap$</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
Raku
Yet another poorly specced, poorly named, trivial task.
How many integers in base 16 cannot be written without using a hexadecimal digit? All of them. Or none of them.
Base 16 is not hexadecimal. Hexadecimal is an implementation of base 16.
<lang perl6>use Base::Any; set-digits <⑩ ⑪ ⑫ ⑬ ⑭ ⑮ ⑯ ⑰ ⑱ ⑲ ⑳ ㉑ ㉒ ㉓ ㉔ ㉕>; say (7**35).&to-base(16);
- ⑭㉒⑱⑩⑰⑰⑳⑮⑱⑳⑩⑳⑱㉒㉑⑰㉒⑫⑭⑲⑯⑩㉔⑮⑰</lang>
How many of those glyphs are decimal digits? And yet it is in base 16, albeit with non-standard digit glyphs. So they all can be written without using a hexadecimal digit.
But wait a minute; is 2 a hexadecimal digit? Why yes, yes it is. So none of them can be written in hexadecimal without using a hexadecimal digit.
Bah. Show which when written in base 16, contain a digit glyph with a value greater than 9:
<lang perl6>put "{+$_} such numbers:\n", .batch(20)».fmt('%3d').join("\n")
given (^501).grep( { so any |.map: { .polymod(16 xx *) »>» 9 } } );</lang>
- Output:
301 such numbers: 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
But wait a minute. Let's take another look at the the task title. Base-16 representation. It isn't talking about Base 16 at all. It's talking about Base-16... so let's do it in base -16.
<lang perl6>use Base::Any; put "Integers from 0 to 500 that when expressed in Base -16 in standard notation, contain an alphabetic: {+$_}\n",
.batch(20)».fmt('%3d').join("\n") given (^501).grep( { .&to-base(-16).contains: /<[A..F]>/ } );</lang>
- Output:
Integers from 0 to 500 that when expressed in Base -16 in standard notation, contain an alphabetic: 306 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 170 171 172 173 174 175 186 187 188 189 190 191 202 203 204 205 206 207 218 219 220 221 222 223 234 235 236 237 238 239 250 251 252 253 254 255 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 426 427 428 429 430 431 442 443 444 445 446 447 458 459 460 461 462 463 474 475 476 477 478 479 490 491 492 493 494 495
REXX
REXX automatically uses only uppercase when converting integers to hexadecimal, but the lowercase alphabetic letters where also included for boilerplate code. <lang rexx>/*REXX pgm finds positive integers when shown in hexadecimal require an alphabetic glyph*/ parse arg n cols . /*obtain optional argument from the CL.*/ if n== | n=="," then n = 501 /*Not specified? Then use the default.*/ if cols== | cols=="," then cols= 10 /* " " " " " " */ w= 10 /*width of a number in any column. */ title= ' positive integers when displayed in hexadecimal that require an alphabetic' ,
"glyph, where N < " n
say ' index │'center(title, 1 + cols*(w+1) ) /*display the title for the output. */ say '───────┼'center("" , 1 + cols*(w+1), '─') /* " a sep " " " */ found= 0; y= 'abcdefABCDEF'; idx= 1 /*initialize # of high hexadecimal nums*/ $= /*list of high hexadecimal #'s (so far)*/
do j=1 for n-1 /*search for high hexadecimal numbers. */ if verify(y, d2x(j), 'M')==0 then iterate /*No alphabetical characters? Then skip*/ /* ◄■■■■■■■■ the filter. */ found= found + 1 /*bump number of high hexadecimal #'s. */ $= $ right(j, w) /*add a high hexadecimal number──► list*/ if found // cols \== 0 then iterate /*have we populated a line of output? */ say center(idx, 7)'│' substr($, 2); $= /*display what we have so far (cols). */ idx= idx + cols /*bump the index count for the output*/ end /*j*/
if $\== then say center(idx, 7)"│" substr($, 2) /*possible display residual output.*/ say '───────┴'center("" , 1 + cols*(w+1), '─') /*display the foot sep for output. */ say say 'Found ' found title exit 0 /*stick a fork in it, we're all done. */</lang>
- output when using the default inputs:
index │ positive integers when displayed in hexadecimal that require an alphabetic glyph, where N < 501 ───────┼─────────────────────────────────────────────────────────────────────────────────────────────────────────────── 1 │ 10 11 12 13 14 15 26 27 28 29 11 │ 30 31 42 43 44 45 46 47 58 59 21 │ 60 61 62 63 74 75 76 77 78 79 31 │ 90 91 92 93 94 95 106 107 108 109 41 │ 110 111 122 123 124 125 126 127 138 139 51 │ 140 141 142 143 154 155 156 157 158 159 61 │ 160 161 162 163 164 165 166 167 168 169 71 │ 170 171 172 173 174 175 176 177 178 179 81 │ 180 181 182 183 184 185 186 187 188 189 91 │ 190 191 192 193 194 195 196 197 198 199 101 │ 200 201 202 203 204 205 206 207 208 209 111 │ 210 211 212 213 214 215 216 217 218 219 121 │ 220 221 222 223 224 225 226 227 228 229 131 │ 230 231 232 233 234 235 236 237 238 239 141 │ 240 241 242 243 244 245 246 247 248 249 151 │ 250 251 252 253 254 255 266 267 268 269 161 │ 270 271 282 283 284 285 286 287 298 299 171 │ 300 301 302 303 314 315 316 317 318 319 181 │ 330 331 332 333 334 335 346 347 348 349 191 │ 350 351 362 363 364 365 366 367 378 379 201 │ 380 381 382 383 394 395 396 397 398 399 211 │ 410 411 412 413 414 415 416 417 418 419 221 │ 420 421 422 423 424 425 426 427 428 429 231 │ 430 431 432 433 434 435 436 437 438 439 241 │ 440 441 442 443 444 445 446 447 448 449 251 │ 450 451 452 453 454 455 456 457 458 459 261 │ 460 461 462 463 464 465 466 467 468 469 271 │ 470 471 472 473 474 475 476 477 478 479 281 │ 480 481 482 483 484 485 486 487 488 489 291 │ 490 491 492 493 494 495 496 497 498 499 301 │ 500 ───────┴─────────────────────────────────────────────────────────────────────────────────────────────────────────────── Found 301 positive integers when displayed in hexadecimal that require an alphabetic glyph, where N < 501
Ring
<lang ring> see "working..." + nl baseList = ["a","b","c","d","e","f"] row = 1 limit = 500
for n = 1 to limit
num = 0 flag = 1 hex = hex(n) lenHex = len(hex) for m = 1 to lenHex ind = find(baseList,hex[m]) if ind < 1 num = num + 1 ok next if num != lenHex row = row + 1 see "" + n + " " if row%10 = 0 see nl ok ok
next
see nl + "done..." + nl </lang>
- Output:
working... 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 done...
Wren
<lang ecmascript>import "/fmt" for Conv, Fmt
var nondecimal = "abcdef" var c = 0 for (i in 0..500) {
var hex = Conv.hex(i) if (hex.any { |c| nondecimal.contains(c) }) { Fmt.write("$3s ", i) c = c + 1 if (c % 15 == 0) System.print() }
} System.print("\n\n%(c) such numbers found.")</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.
XPL0
Borrowed masking concept from C++, which was much more elegant than my first solution. <lang XPL0>func HasHex(N); int N; [while N do
[if (N&$F) > 9 then return true; N:= N>>4];
return false; ];
int N, Cnt; [Cnt:= 0; for N:= 1 to 500 do
[if HasHex(N) then [if N<100 then ChOut(0, ^ ); IntOut(0, N); Cnt:= Cnt+1; if rem(Cnt/20) = 0 then CrLf(0) else ChOut(0, ^ ); ]; ];
CrLf(0); IntOut(0, Cnt); Text(0, " such numbers found."); CrLf(0); ]</lang>
- Output:
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 301 such numbers found.