Hashtron inference: Difference between revisions

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#include <vector>
 
uint32_t hash(const uint32_t& number, const uint32_t& salt, const uint32_t& max_value) {
const uint64_t MASK = 0xFFFFFFFF;
 
uint64_t hash(const uint64_t& number, const uint64_t& salt, const uint64_t& max_value) {
// Mixing stage 1, mix 'number' with 'salt' using subtraction
uint64_t m = ( number - salt ) & MASK0xFFFFFFFF;
 
// Hashing stage, use xor shift with prime coefficients
m ^= ( m << 2 ) & MASK0xFFFFFFFF;
m ^= ( m << 3 ) & MASK0xFFFFFFFF;
m ^= ( m >> 5 ) & MASK0xFFFFFFFF;
m ^= ( m >> 7 ) & MASK0xFFFFFFFF;
m ^= ( m << 11 ) & MASK0xFFFFFFFF;
m ^= ( m << 13 ) & MASK0xFFFFFFFF;
m ^= ( m >> 17 ) & MASK0xFFFFFFFF;
m ^= ( m << 19 ) & MASK0xFFFFFFFF;
 
// Mixing stage 2, mix 'number' with 'salt' using addition
m += salt;
m &= MASK0xFFFFFFFF;
 
// Modular stage using Lemire's fast alternative to modulo reduction
return ( ( m * max_value ) >> 32 ) & MASK0xFFFFFFFF;
}
 
uint64_t inference(const uint64_tuint32_t& command, const uint64_tuint32_t& bits, const std::vector<std::vector<uint64_tuint32_t>>& program) {
uint64_t result = 0;
 
Line 264 ⟶ 262:
}
 
for ( uint64_tuint32_t j = 0; j < bits; ++j ) {
uint64_t number = ( command & MASK ) | ( ( j & 0xFF ) << 16 );
const uint64_tuint32_t salt_1 = program[0][0];
uint64_tuint32_t max_value = program[0][1];
number = hash(number, salt_1, max_value);
 
for ( uint64_tuint32_t i = 1; i < program.size(); ++i ) {
const uint64_tuint32_t salt_2 = program[i][0];
const uint64_tuint32_t max = program[i][1];
max_value -= max;
number = hash(number, salt_2, max_value);
Line 279 ⟶ 277:
number &= 1;
if ( number != 0 ) {
result |= ( static_cast<uint64_t>(1) << j );
}
}
Line 286 ⟶ 284:
 
int main() {
uint64_tuint32_t command = 42;
uint64_tuint32_t bits = 64;
std::vector<std::vector<uint64_tuint32_t>> program = { { 0, 2 } };
std::cout << "Test demo: " << inference(command, bits, program) << std::endl << std::endl;
 
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{{ out }}
<pre>
Test demo: 1844674407370955161514106184687260844995
 
Square root demo for commands in 0..255:
Line 355 ⟶ 353:
 
=={{header|FreeBASIC}}==
<syntaxhighlight lang="vbnet">Function hashHashtron(n As Ulongint, s As Ulongint, max As Ulongint) As Ulongint
Dim As Ulongint kU32 = &hFFFFFFFF
' Mixing stage, mix input with salt using subtraction
Dim As Ulongint m = (n - s) And kU32
' Hashing stage, use xor shift with prime coefficients
m Xor= ((m Shl 2) And kU32)
m Xor= ((m Shl 3) And kU32)
m Xor= ((m Shr 5) And kU32)
m Xor= ((m Shr 7) And kU32)
m Xor= ((m Shl 11) And kU32)
m Xor= ((m Shl 13) And kU32)
m Xor= ((m Shr 17) And kU32)
m Xor= ((m Shl 19) And kU32)
' Mixing stage 2, mix input with salt using addition
m = (m + s) And kU32
' Modular stage using Lemire's fast alternative to modulo reduction
Return ((m * max) Shr 32) 'And kU32
End Function
 
Function inferenceInference(comandocmd As UlongintInteger, bits As Integer, program() As Ulong) As Ulongint
Dim As Ulongint salida = 0
' Check if the program is empty
If Ubound(program) = -1 Then Return salida
' Iterate over the bits
For j As Integer = 0 To bits - 1
Dim As UlongintInteger entradass = comando Or program(j Shl0, 160)
Dim As UlongintInteger ssmaxx = program(0, 1)
Dim As UlongintInteger maxxentrada = programcmd Or (1j Shl 16)
entrada = hashHashtron(entrada, ss, maxx)
For i As Integer = 1 To Ubound(program, 1)
Dim As Ulongint s maxx -= program(i+1)
Dim As Ulongint max entrada = Hashtron(entrada, program(i), + 1maxx)
maxxNext -= maxi
If entrada Mod 2 <> 0 Then salida Or= hash(entrada,1 s,Shl maxxj)
Next ij
End If
entrada And= 1
If entrada <> 0 Then salida Or= (1 Shl j)
Next j
Return salida
End Function
Line 398:
Dim As Ulong program(1) = {0, 2}
Print "Test demo:"
Print inferenceInference(42, 64, program())
 
Dim As Ulong program2(255, 1) = { _
{8776,79884}, {12638,1259}, {9953,1242}, {4658,1228}, {5197,1210}, {12043,1201}, _
{6892,1183}, {7096,1168}, {10924,1149}, {5551,1136}, {5580,1123}, {3735,1107}, _
{3652,1091}, {12191,1076}, {14214,1062}, {13056,1045}, {14816,1031}, {15205,1017}, _
{10736,1001}, {9804,989}, {13081,974}, {6706,960}, {13698,944}, {14369,928}, _
{16806,917}, {9599,906}, {9395,897}, {4885,883}, {10237,870}, {10676,858}, _
{18518,845}, {2619,833}, {13715,822}, {11065,810}, {9590,799}, {5747,785}, _
{2627,776}, {8962,764}, {5575,750}, {3448,738}, {5731,725}, {9434,714}, _
{3163,703}, {3307,690}, {3248,678}, {3259,667}, {3425,657}, {3506,648}, _
{3270,639}, {3634,627}, {3077,617}, {3511,606}, {27159,597}, {27770,589}, _
{28496,580}, {28481,571}, {29358,562}, {31027,552}, {30240,543}, {30643,534}, _
{31351,527}, {31993,519}, {32853,510}, {33078,502}, {33688,495}, {29732,487}, _
{29898,480}, {29878,474}, {26046,468}, {26549,461}, {28792,453}, {26101,446}, _
{32971,439}, {29704,432}, {23193,426}, {29509,421}, {27079,415}, {32453,409}, _
{24737,404}, {25725,400}, {23755,395}, {52538,393}, {53242,386}, {19609,380}, _
{26492,377}, {24566,358}, {31163,368}, {57174,363}, {26639,364}, {31365,357}, _
{60918,350}, {21235,338}, {28072,322}, {28811,314}, {27571,320}, {17635,309}, _
{51968,169}, {54367,323}, {60541,254}, {26732,270}, {52457,157}, {27181,276}, _
{19874,227}, {22797,320}, {59346,271}, {25496,260}, {54265,231}, {22281,250}, _
{42977,318}, {26008,240}, {87604,142}, {94647,314}, {52292,157}, {20999,216}, _
{89253,316}, {22746,29}, {68338,312}, {22557,317}, {110904,104}, {70975,285}, _
{51835,277}, {51871,313}, {132221,228}, {18522,290}, {68512,285}, {118816,302}, _
{150865,268}, {68871,273}, {68139,290}, {84984,285}, {150693,266}, {396047,272}, _
{84923,269}, {215562,258}, {68015,248}, {247689,235}, {214471,229}, {264395,221}, _
{263287,212}, {280193,201}, {108065,194}, {263616,187}, {148609,176}, {263143,173}, _
{378205,162}, {312547,154}, {50400,147}, {328927,140}, {279217,132}, {181111,127}, _
{672098,118}, {657196,113}, {459383,111}, {833281,105}, {520281,102}, {755397,95}, _
{787994,91}, {492444,82}, {1016592,77}, {656147,71}, {819893,66}, {165531,61}, _
{886503,57}, {1016551,54}, {3547827,49}, {14398170,43}, {395900,41}, {4950628,37}, _
{11481175,33}, {100014881,30}, {8955328,31}, {11313984,27}, {13640855,23}, _
{528553762,21}, {63483027,17}, {952477,8}, {950580,4}, {918378,2}, {918471,1} }
 
Print !"\nSquare root demo for commands in (0, 255):"
Dim As Ulong results(255)
For i As Uinteger = 0 To 255
results(i) = Inference(i, 4, program2())
Next i
 
For i As Uinteger = 0 To 255
Print Using "###"; Inference(i, 4, program2());
If (i+1) Mod 16 = 0 Then Print
Next i
 
Sleep</syntaxhighlight>
{{out}}
<pre>Test demo:
14106184687260844995
 
Square root demo for commands in (0, 255):
0 0 10 15 7 0 5 10 2 9 5 10 7 10 4 14
14 13 13 13 10 9 5 4 14 3 5 15 10 5 4 4
12 13 1 12 8 0 8 15 5 10 4 9 11 10 15 2
14 7 7 13 8 11 4 14 2 10 10 9 9 6 4 13
13 7 13 8 6 9 15 15 5 11 7 13 11 3 15 5
1 0 6 3 12 14 13 9 10 11 14 13 8 4 5 3
13 10 8 14 14 3 8 4 9 12 8 3 6 6 1 10
15 6 10 6 9 6 3 10 5 7 10 6 13 6 3 1
7 11 1 9 13 15 7 15 12 1 7 7 4 13 15 9
15 8 2 5 7 10 3 11 0 9 10 11 9 10 14 15
4 10 3 13 3 11 9 10 7 14 11 15 7 9 10 5
8 15 3 5 15 8 5 10 12 15 15 7 13 14 10 14
1 1 9 14 10 6 5 14 1 15 15 9 14 9 2 10
11 13 7 12 15 1 7 3 15 15 4 9 2 5 7 1
15 14 14 10 15 1 13 10 6 9 5 0 11 14 9 1
13 6 6 6 8 13 13 8 13 10 14 14 15 1 7 10</pre>
 
=={{header|Go}}==
Line 456 ⟶ 520:
 
https://go.dev/play/p/AsmOzKWx7jB
 
{{out}}
<pre>
14106184687260844995
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</pre>
 
=={{header|Java}}==
<syntaxhighlight lang="java" line>
public class Main {
public static long inference(long command, long bits, long[][] program) {
public static long inference(int command, int bits, int[][] program) {
long out = 0;
 
// Check if the program is empty
if ( program.length == 0 ) {
return out;
}
 
// Iterate over the bits
for (long int j = 0; j < bits; j++ ) {
longint input = (command & 0xFFFFFFFF) | (((long) j & 0xFF) << (long)16);
longint ss = program[0][0];
longint maxx = program[0][1];
input = hash(input, ss, maxx);
for (long int i = 1; i < program.length; i++ ) {
longint s = program[(int)i][0];
longint max = program[(int)i][1];
maxx -= max;
input = hash(input, s, maxx);
Line 482 ⟶ 808:
input &= 1;
if (input != 0) {
out |= (long)1 << (long) j;
}
}
return out;
}
public static long hash(long n, long s, long max_val) {
public static int hash(int n, int s, int max_val) {
// Mixing stage, mix input with salt using subtraction
long m = (n - s) & 0xFFFFFFFFL;
Line 506 ⟶ 833:
// Modular stage using Lemire's fast alternative to modulo reduction
return (int) ( ( ( m * max_val ) >>> 32 ) & 0xFFFFFFFFL );
}
 
public static void main(String[] args) {
int command = 42;
 
longint[][] commandprogram = 42{ { 0, 2 } }; // Example program
int bits = 64;
long[][] program = {{0,2}}; // Example program
long bits = 64;
long result = inference(command, bits, program);
System.out.println(Long.toUnsignedString(result));
}
}
</syntaxhighlight>
 
===Both Demos===
<syntaxhighlight lang="java">
public final class HashtronInference {
public static void main(String[] args) {
int command = 42;
int bits = 64;
int[][] program = { { 0, 2 } };
long result = inference(command, bits, program);
System.out.println("Test demo: " + Long.toUnsignedString(result));
System.out.println();
bits = 4;
program = new int[][] {
{ 8776, 79884 }, { 12638, 1259 }, { 9953, 1242 }, { 4658, 1228 }, { 5197, 1210 }, { 12043, 1201 },
{ 6892, 1183 }, { 7096, 1168 }, { 10924, 1149 }, { 5551, 1136 }, { 5580, 1123 }, { 3735, 1107 },
{ 3652, 1091 }, { 12191, 1076 }, { 14214, 1062 }, { 13056, 1045 }, { 14816, 1031 }, { 15205, 1017 },
{ 10736, 1001 }, { 9804, 989 }, { 13081, 974 }, { 6706, 960 }, { 13698, 944 }, { 14369, 928 },
{ 16806, 917 }, { 9599, 906 }, { 9395, 897 }, { 4885, 883 }, { 10237, 870 }, { 10676, 858 },
{ 18518, 845 }, { 2619, 833 }, { 13715, 822 }, { 11065, 810 }, { 9590, 799 }, { 5747, 785 },
{ 2627, 776 }, { 8962, 764 }, { 5575, 750 }, { 3448, 738 }, { 5731, 725 }, { 9434, 714 },
{ 3163, 703 }, { 3307, 690 }, { 3248, 678 }, { 3259, 667 }, { 3425, 657 }, { 3506, 648 },
{ 3270, 639 }, { 3634, 627 }, { 3077, 617 }, { 3511, 606 }, { 27159, 597 }, { 27770, 589 },
{ 28496, 580 }, { 28481, 571 }, { 29358, 562 }, { 31027, 552 }, { 30240, 543 }, { 30643, 534 },
{ 31351, 527 }, { 31993, 519 }, { 32853, 510 }, { 33078, 502 }, { 33688, 495 }, { 29732, 487 },
{ 29898, 480 }, { 29878, 474 }, { 26046, 468 }, { 26549, 461 }, { 28792, 453 }, { 26101, 446 },
{ 32971, 439 }, { 29704, 432 }, { 23193, 426 }, { 29509, 421 }, { 27079, 415 }, { 32453, 409 },
{ 24737, 404 }, { 25725, 400 }, { 23755, 395 }, { 52538, 393 }, { 53242, 386 }, { 19609, 380 },
{ 26492, 377 }, { 24566, 358 }, { 31163, 368 }, { 57174, 363 }, { 26639, 364 }, { 31365, 357 },
{ 60918, 350 }, { 21235, 338 }, { 28072, 322 }, { 28811, 314 }, { 27571, 320 }, { 17635, 309 },
{ 51968, 169 }, { 54367, 323 }, { 60541, 254 }, { 26732, 270 }, { 52457, 157 }, { 27181, 276 },
{ 19874, 227 }, { 22797, 320 }, { 59346, 271 }, { 25496, 260 }, { 54265, 231 }, { 22281, 250 },
{ 42977, 318 }, { 26008, 240 }, { 87604, 142 }, { 94647, 314 }, { 52292, 157 }, { 20999, 216 },
{ 89253, 316 }, { 22746, 29 }, { 68338, 312 }, { 22557, 317 }, { 110904, 104 }, { 70975, 285 },
{ 51835, 277 }, { 51871, 313 }, { 132221, 228 }, { 18522, 290 }, { 68512, 285 }, { 118816, 302 },
{ 150865, 268 }, { 68871, 273 }, { 68139, 290 }, { 84984, 285 }, { 150693, 266 }, { 396047, 272 },
{ 84923, 269 }, { 215562, 258 }, { 68015, 248 }, { 247689, 235 }, { 214471, 229 }, { 264395, 221 },
{ 263287, 212 }, { 280193, 201 }, { 108065, 194 }, { 263616, 187 }, { 148609, 176 }, { 263143, 173 },
{ 378205, 162 }, { 312547, 154 }, { 50400, 147 }, { 328927, 140 }, { 279217, 132 }, { 181111, 127 },
{ 672098, 118 }, { 657196, 113 }, { 459383, 111 }, { 833281, 105 }, { 520281, 102 }, { 755397, 95 },
{ 787994, 91 }, { 492444, 82 }, { 1016592, 77 }, { 656147, 71 }, { 819893, 66 }, { 165531, 61 },
{ 886503, 57 }, { 1016551, 54 }, { 3547827, 49 }, { 14398170, 43 }, { 395900, 41 }, { 4950628, 37 },
{ 11481175, 33 }, { 100014881, 30 }, { 8955328, 31 }, { 11313984, 27 }, { 13640855, 23 },
{ 528553762, 21 }, { 63483027, 17 }, { 952477, 8 }, { 950580, 4 }, {918378, 2 }, { 918471, 1 }
};
System.out.println("Square root demo for commands in 0..255:");
for ( command = 0; command < 256; command++ ) {
System.out.print(
String.format("%2d%s", inference(command, bits, program), ( command % 16 == 15 ) ? "\n" : " " ));
}
}
}</syntaxhighlight>
public static long inference(int command, int bits, int[][] program) {
long result = 0;
 
if ( program.length == 0 ) {
return result;
}
 
for ( int j = 0; j < bits; j++ ) {
int number = command | ( j << 16 );
final int saltOne = program[0][0];
int maxValue = program[0][1];
number = hash(number, saltOne, maxValue);
for ( int i = 1; i < program.length; i++ ) {
final int saltTwo = program[i][0];
final int max = program[i][1];
maxValue -= max;
number = hash(number, saltTwo, maxValue);
}
number &= 1;
if ( number != 0 ) {
result |= ( 1L << j );
}
}
return result;
}
public static int hash(int number, int salt, int maxValue) {
// Mixing stage 1, mix 'number' with 'salt' using subtraction
long m = ( number - salt ) & 0xFFFFFFFFL;
// Hashing stage, use xor shift with prime coefficients
m ^= ( m << 2 ) & 0xFFFFFFFFL;
m ^= ( m << 3 ) & 0xFFFFFFFFL;
m ^= ( m >> 5 ) & 0xFFFFFFFFL;
m ^= ( m >> 7 ) & 0xFFFFFFFFL;
m ^= ( m << 11 ) & 0xFFFFFFFFL;
m ^= ( m << 13 ) & 0xFFFFFFFFL;
m ^= ( m >> 17 ) & 0xFFFFFFFFL;
m ^= ( m << 19 ) & 0xFFFFFFFFL;
// Mixing stage 2, mix 'number' with 'salt' using addition
m += salt;
m &= 0xFFFFFFFFL;
// Modular stage using Lemire's fast alternative to modulo reduction
return (int) ( ( ( m * maxValue ) >>> 32 ) & 0xFFFFFFFFL );
}
 
}
</syntaxhighlight>
{{ out }}
<pre>
Test demo: 14106184687260844995
 
Square root demo for commands in 0..255:
0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3
4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5
5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6
6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10
10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11
11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
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12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13
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13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14
14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
</pre>
 
=={{header|Julia}}==
Line 708 ⟶ 1,161:
 
=={{header|PHP}}==
{{incomplete|PHP|output missing}}
<syntaxhighlight lang="php" line>
// define hashtron hash
Line 816 ⟶ 1,270:
 
print(inference(42,64,[[0,2]]))</syntaxhighlight>
{{out}}
<pre>
14106184687260844995
</pre>
 
=={{header|Raku}}==
Line 900 ⟶ 1,358:
 
You may [https://ato.pxeger.com/run?1=hVfdbltFEL7PBc8wtBHYjRPt7O7sj-JGwAWiEuUFUCu5yXFriO3KPyVVmyfhphdwyQvxNHy7s3bsUwRRm3jO2fn75puZ9e9_rCa_bj99-nO7mZ6nv7_4a719Rc8W027VLa67wen1cj6fLG5GdPpqtlmP6Ju3q-Xr1WQ-pA8nRDR_T3S63G7oKZnLk_Jk1W22q4U-3C5uu_V6r3Px3XJ5q6emyxW9rCbp_IpOf6EP9JiebbrVZNPR8l23os2bjsr7clodnc4Wb6unXVB09pEG0D0bE4fhZTu5P_bDZP1ms1ouBvrkIfafzQv8G1Wb88ndHc4evuIXe1slzP0rvrh48qKEOzgFEEWzgfB_fnfH7-j8qert7N-3v7MpDXYGzr56SkxD-hKQApYK5NnH8gx5Ituqc9-D-vLk_uSklO7B-eLBcYvzMT2f3c0Wr2m9mbzukP_sjtTnb7PNG1pPblGydT2wfbVZTa43s-WiVfl0XoBf0DmMagkfV18H5rbrju4AGB5Om8m3q9m8o-tlN53OrmfdQstZUB2fWzp3dCZ0FumcGf8hcfmcryon3u7Brb4H-H32Uv-Ut8MhkCJz9337uSTF5fNEyf5XqpObm9kuzwdHyLJvf2d5ebO9nayaabXxYzefrbqv1zSdrDcE291qMdnM3nW0WdK8KCxRrJvtHtBWuUHx9aSVCFk5-5nTVtbn3z77adDKuJ68P-hQj-yCH9FgbMhejYbDhwYzFxcvrYSK5myPZlF_BPnR6LDPZyMqRh7oPE4xBoo5JX81ojHb4BKxlVyknMVB8LYIPkh5Y1MRhHOEwOZqdGCLrfFFwXA5E1K2xJxcEaLJAUKo2myy9ZB89SIiDMEFCAfGRJLBY1vVXXQCwcQqBIFhk1kj5gx1E0OVvGVYNsEeG2NngBAbL3oqcZGcWhBrYNxw1NiiK-80h5yMp5zyZ9YSU44VshBNoBxMVXYhJ8pesfSQKCtgyLwcqz4OLGXJOGJq7NlloZRrFD4lfFbo2FgXKUX1YALqlSQdA5-EEyXNzgbOlJzqusgwZGsFgV-AwNUQPBvUvZeZRB8ppmbH4rPimnKwFIPXekWhKNWK8z5RdKlvxTFFW61k7zxFrpqOg6NotKLORApZrVhYCbFnxYGFFIKW3FuhIPpZgGTwSTWjoeCy0gKeEHPPionww00TEygo2hbAZBKF28YIO1LrPLbJg6tg37EhPEbRJVZe2OzQDVJphrQMkBJRwVgPU16TNAENIc4fVcsxAiGxGhPnjCOsKdgkRTA7hODDqFkXUiKfpRdUjs6ST5oFiIozNfAiQNsrR20wPpDX7rNBfIbA_fwi-tWLaxwyTN4HjSpHCIoyPqMlvKtRWUTvyNvQj0oMPFiFKpoIgaVVGgl6o6Z8BLG90RAFhIHQR91FEXI177FYwXRyuYYosGXJJe17NGCGoKkHj0xc7DEBrkMgJ0ocLlx0igiKGj2Eljr4BKExFsMGOvGogPCFdnPaAhYjCkecYptMhGvtN5sS-OaU-zbCC9708uMYirYCAhYEzNigAsZHhEINKhjxTFZaNUvRbeyZEiSIoSyN0Qy22jYVwQVPVgmHPzm2QMaSHYhhY58LUlrA6lAT1FfI6rC0WAAlkPrGgwwwxY1WxiQC-Y9NpQjuEesOyT74uENErC0LosVrMiah5TZtUGgc69PKxhJs1uXiChVYgbaYSRBim3K5eFRaYe9gWtky0Q6hwlbC08qQIpTKcBuYyBAJtqmdECQ8GnUpbNXUUQU5lW3itE9ZTCpoKbHQs7FUQWuYGMRqxjBjkv8XY5ht6ChwsLIPrAZeNtqmYssr7R0WTB8UovkxGPPW9yYoGgxLGKXTec7el2gUQDRJ2Te2NWnA6IGnhifMlShMjxZsUtkgnBsNXShrVIcPdmppQVbG4R2Xq0Bs2zvVFdvfyiif-EJZ5YNB94MpsU3CjKHKXnsMowmXRtapA2bjB_eMXldGkCiVG0eFBO1Wrxw1Ag-iJ8TDNVtwp7CYTZsqRqVedBg8Dp2ioydiOmZcBao-CuG9x1rVjcxBQGQlU5DAZYX2kEtoQSCqZcV5wYIMGgvoYjDz495W2Q06fABOAgi-f_1A5RJjYbUlU1Y5hBYaGGTRGa0XsLM4lvHUryQuOLhkgPdKx4yQipreiBjdUPmpVjAMTZIyA467CPQVFwsN9cLnfHJlFWojZgwkjIekn025ztW0MDtBCOqhjaeFnXxFw_Z0qFd9OrnXb63ty-vuS-w_ Attempt This Online!]
{{out}}
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</pre>
 
=={{header|Wren}}==
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