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http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Pascal | Pascal |
program AbundantOddNumbers;
{$IFDEF FPC}
{$MODE DELPHI}{$OPTIMIZATION ON,ALL}{$CODEALIGN proc=16}{$ALIGN 16}
{$ELSE}
{$APPTYPE CONSOLE}
{$ENDIF}
{geeksforgeeks
* 1100 = 2^2*5^2*11^1
(2^0 + 2^1 + 2^2) * (5^0 + 5^1 + 5^2) * (11^0 + 11^1)
(upto the power of factor in factorization i.e. power of 2 and 5 is 2 and 11 is 1.)
= (1 + 2 + 2^2) * (1 + 5 + 5^2) * (1 + 11)
= 7 * 31 * 12
= 2604
So, sum of all factors of 1100 = 2604 }
uses
SysUtils;
var
//all primes < 2^16=65536
primes : array[0..6541] of Word;
procedure InitPrimes;
//sieve of erathotenes
var
p : array[word] of byte;
i,j : NativeInt;
Begin
fillchar(p,SizeOf(p),#0);
p[0] := 1;
p[1] := 1;
For i := 2 to high(p) do
if p[i] = 0 then
begin
j := i*i;
IF j>high(p) then
BREAK;
while j <= High(p) do
begin
p[j] := 1;
inc(j,i);
end;
end;
j := 0;
For i := 2 to high(p) do
IF p[i] = 0 then
Begin
primes[j] := i;
inc(j);
end;
end;
function PotToString(N: NativeUint):String;
var
pN,pr,PowerPr,rest : NativeUint;
begin
pN := 0; //starting at 2;
Result := '';
repeat
pr := primes[pN];
rest := N div pr;
if rest < pr then
BREAK;
//same as N MOD PR = 0
if rest*pr = N then
begin
result := result+IntToStr(pr);
N := rest;
rest := N div pr;
PowerPr := 1;
while rest*pr = N do
begin
inc(PowerPr);
N := rest;
rest := N div pr;
end;
if PowerPr > 1 then
result := result+'^'+IntToStr(PowerPr);
if N > 1 then
result := result +'*';
end;
inc(pN);
until pN > High(Primes);
//is there a last prime factor of N
if N <> 1 then
result := result+IntToStr(N);
end;
function OutNum(N: NativeUint):string;
Begin
result := Format('%10u= %s', [N,PotToString(N)]);
end;
function SumProperDivisors(N: NativeUint): NativeUint;
var
pN,pr,PowerPr,SumOfPower,rest,N0 : NativeUint;
begin
N0 := N;
pN := 0; //starting at 2;
Result := 1;
repeat
pr := primes[pN];
rest := N div pr;
if rest < pr then
BREAK;
//same as N MOD PR = 0
if rest*pr = N then
begin
// IF pr=5 then break;
// IF pr=7 then break;
PowerPr := 1;
SumOfPower:= 1;
repeat
PowerPr := PowerPr*pr;
inc(SumOfPower,PowerPr);
N := rest;
rest := N div pr;
until N <> rest*pr;
result := result*SumOfPower;
end;
inc(pN);
until pN > High(Primes);
//is there a last prime factor of N
if N <> 1 then
result := result*(N+1);
result := result-N0;
end;
var
C, N,N0,k: Cardinal;
begin
InitPrimes;
k := High(k);
N := 1;
N0 := N;
C := 0;
while C < 25 do begin
inc(N, 2);
if N < SumProperDivisors(N) then begin
Inc(C);
WriteLn(Format('%5u: %s', [C,OutNum(N)]));
IF k > N-N0 then
k := N-N0;
N0 := N;
end;
end;
Writeln(' Min Delta ',k);
writeln;
while C < 1000 do begin
Inc(N, 2);
if N < SumProperDivisors(N) then
Begin
Inc(C);
IF k > N-N0 then
k := N-N0;
N0 := N;
end;
end;
WriteLn(' 1000: ',OutNum(N));
Writeln(' Min Delta ',k);
writeln;
while C < 10000 do begin
Inc(N, 2);
if N < SumProperDivisors(N) then
Begin
Inc(C);
IF k > N-N0 then
k := N-N0;
N0 := N;
end;
end;
WriteLn('10000: ',OutNum(N));
Writeln(' Min Delta ',k);
N := 1000000001;
while N >= SumProperDivisors(N) do
Inc(N, 2);
WriteLn('The first abundant odd number above one billion is: ',OutNum(N));
end. |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #F.23 | F# |
type Player =
| Computer
| Person
type Play = {runningTotal:int; nextTurn:Player}
type Win =
| ByExact of Player
| ByOtherExceeded of Player
type Status =
| Start
| Playing of Play
| Winner of Win
| Exit
let rnd = System.Random ()
let randomFirstPlayer () =
let selection = rnd.Next 2
if selection = 0 then Computer else Person
let computerChose current =
if current > 17 then 21-current // win strategy
else if current > 13 && current < 17 then 17-current // naive thwart opponent strategy
else rnd.Next(1, (min 4 (21-current+1)))
let (|Exact|Exceeded|Under|) i = if i = 21 then Exact else if i > 21 then Exceeded else Under
let (|ValidNumber|InvalidInput|Quit|) (s:string) =
let trimmed = s.Trim().ToLower()
if trimmed = "1" || trimmed = "2" || trimmed = "3" then ValidNumber
else if trimmed = "q" then Quit
else InvalidInput
let readable = function | Computer -> "Computer is" | Person -> "You are"
let rec looper = function
| Start ->
let firstPlayer = randomFirstPlayer ()
printfn $"{readable firstPlayer} randomly selected to go first."
looper (Playing {runningTotal=0; nextTurn=firstPlayer})
| Playing play ->
match play with
| {runningTotal=Exact; nextTurn=Person} -> looper (Winner (ByExact Computer))
| {runningTotal=Exact; nextTurn=Computer} -> looper (Winner (ByExact Person))
| {runningTotal=Exceeded; nextTurn=player} -> looper (Winner (ByOtherExceeded player))
| {runningTotal=r; nextTurn=player} ->
match player with
| Computer ->
let computerChoice = computerChose r
let total = r+computerChoice
printfn $"Computer entered {computerChoice}. Current total now: {total}."
looper (Playing {runningTotal=total; nextTurn=Person})
| Person ->
let input = printf "Enter number 1, 2, or 3 (or q to exit): "; System.Console.ReadLine ()
match input with
| ValidNumber ->
let playerChoice = System.Int32.Parse input
let total = r+playerChoice
printfn $"Player entered {playerChoice}. Current total now: {total}."
looper (Playing {runningTotal=total; nextTurn=Computer})
| Quit -> looper Exit
| InvalidInput -> printfn "Invalid input. Try again."; looper (Playing play)
| Winner win ->
match win with
| ByExact player -> printfn $"{readable player} the winner by getting to 21."; looper Exit
| ByOtherExceeded player -> printfn $"{readable player} the winner by not exceeding 21."; looper Exit
| Exit -> printfn "Thanks for playing!"
let run () = looper Start
|
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program game24Solver.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see task include a file in arm assembly */
/************************************/
/* Constantes */
/************************************/
.include "../constantes.inc"
.equ STDIN, 0 @ Linux input console
.equ READ, 3 @ Linux syscall
.equ NBDIGITS, 4 @ digits number
.equ TOTAL, 24
.equ BUFFERSIZE, 80
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessRules: .ascii "24 Game\n"
.ascii "The program will display four randomly-generated \n"
.asciz "single-digit numbers and search a solution for a total to 24\n\n"
szMessDigits: .asciz "The four digits are @ @ @ @ and the score is 24. \n"
szMessOK: .asciz "Solution : \n"
szMessNotOK: .asciz "No solution for this problem !! \n"
szMessNewGame: .asciz "New game (y/n) ? \n"
szCarriageReturn: .asciz "\n"
.align 4
iGraine: .int 123456
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
.align 4
sZoneConv: .skip 24
sBuffer: .skip BUFFERSIZE
iTabDigit: .skip 4 * NBDIGITS @ digits table
iTabOperand1: .skip 4 * NBDIGITS @ operand 1 table
iTabOperand2: .skip 4 * NBDIGITS @ operand 2 table
iTabOperation: .skip 4 * NBDIGITS @ operator table
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
ldr r0,iAdrszMessRules @ display rules
bl affichageMess
1:
mov r3,#0
ldr r12,iAdriTabDigit
ldr r5,iAdrszMessDigits
2: @ loop generate random digits
mov r0,#8
bl genereraleas
add r0,r0,#1
str r0,[r12,r3,lsl #2] @ store in table
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
mov r2,#0
strb r2,[r1,r0] @ reduce size display area with zéro final
mov r0,r5
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
mov r5,r0
add r3,r3,#1
cmp r3,#NBDIGITS @ end ?
blt 2b @ no -> loop
mov r0,r5
bl affichageMess
mov r0,#0 @ start leval
mov r1,r12 @ address digits table
bl searchSoluce
cmp r0,#-1 @ solution ?
bne 3f @ no
ldr r0,iAdrszMessOK
bl affichageMess
bl writeSoluce @ yes -> write solution in buffer
ldr r0,iAdrsBuffer @ and display buffer
bl affichageMess
b 10f
3: @ display message no solution
ldr r0,iAdrszMessNotOK
bl affichageMess
10: @ display new game ?
ldr r0,iAdrszCarriageReturn
bl affichageMess
ldr r0,iAdrszMessNewGame
bl affichageMess
bl saisie
cmp r0,#'y'
beq 1b
cmp r0,#'Y'
beq 1b
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
iAdrszMessRules: .int szMessRules
iAdrszMessDigits: .int szMessDigits
iAdrszMessNotOK: .int szMessNotOK
iAdrszMessOK: .int szMessOK
iAdrszMessNewGame: .int szMessNewGame
iAdrsZoneConv: .int sZoneConv
iAdriTabDigit: .int iTabDigit
/******************************************************************/
/* recherche solution */
/******************************************************************/
/* r0 level */
/* r1 table value address */
/* r0 return -1 if ok */
searchSoluce:
push {r1-r12,lr} @ save registers
sub sp,#4* NBDIGITS @ reserve size new digits table
mov fp,sp @ frame pointer = address stack
mov r10,r1 @ save table
add r9,r0,#1 @ new level
rsb r3,r9,#NBDIGITS @ last element digits table
ldr r4,[r1,r3,lsl #2] @ load last element
cmp r4,#TOTAL @ equal to total to search ?
bne 0f @ no
cmp r9,#NBDIGITS @ all digits are used ?
bne 0f @ no
mov r0,#-1 @ yes -> it is ok -> end
b 100f
0:
mov r5,#0 @ indice loop 1
1: @ begin loop 1
cmp r5,r3
bge 9f
ldr r4,[r10,r5,lsl #2] @ load first operand
ldr r8,iAdriTabOperand1
str r4,[r8,r9,lsl #2] @ and store in operand1 table
add r6,r5,#1 @ indice loop 2
2: @ begin loop 2
cmp r6,r3
bgt 8f
ldr r12,[r10,r6,lsl #2] @ load second operand
ldr r8,iAdriTabOperand2
str r12,[r8,r9,lsl #2] @ and store in operand2 table
mov r7,#0 @ k
mov r8,#0 @ n
3:
cmp r7,r5
beq 4f
cmp r7,r6
beq 4f
ldr r0,[r10,r7,lsl #2] @ copy other digits in new table on stack
str r0,[fp,r8,lsl #2]
add r8,r8,#1
4:
add r7,r7,#1
cmp r7,r3
ble 3b
add r7,r4,r12 @ addition test
str r7,[fp,r8,lsl #2] @ store result of addition
mov r7,#'+'
ldr r0,iAdriTabOperation
str r7,[r0,r9,lsl #2] @ store operator
mov r0,r9 @ pass new level
mov r1,fp @ pass new table address on stack
bl searchSoluce
cmp r0,#0
blt 100f
@ soustraction test
cmp r4,r12
subgt r7,r4,r12
suble r7,r12,r4
str r7,[fp,r8,lsl #2]
mov r7,#'-'
ldr r0,iAdriTabOperation
str r7,[r0,r9,lsl #2]
mov r0,r9
mov r1,fp
bl searchSoluce
cmp r0,#0
blt 100f
mul r7,r4,r12 @ multiplication test
str r7,[fp,r8,lsl #2]
mov r7,#'*'
//vidregtit mult
ldr r0,iAdriTabOperation
str r7,[r0,r9,lsl #2]
mov r0,r9
mov r1,fp
bl searchSoluce
cmp r0,#0
blt 100f
5: @ division test
push {r1-r3}
mov r0,r4
mov r1,r12
bl division
// mov r7,r9
cmp r3,#0
bne 6f
str r2,[fp,r8,lsl #2]
mov r7,#'/'
ldr r0,iAdriTabOperation
str r7,[r0,r9,lsl #2]
mov r0,r9
mov r1,fp
bl searchSoluce
b 7f
6:
mov r0,r12
mov r1,r4
bl division
cmp r3,#0
bne 7f
str r2,[fp,r8,lsl #2]
mov r7,#'/'
ldr r0,iAdriTabOperation
str r7,[r0,r9,lsl #2]
mov r0,r9
mov r1,fp
bl searchSoluce
7:
pop {r1-r3}
cmp r0,#0
blt 100f
add r6,r6,#1 @ increment indice loop 2
b 2b
8:
add r5,r5,#1 @ increment indice loop 1
b 1b
9:
100:
add sp,#4* NBDIGITS @ stack alignement
pop {r1-r12,lr}
bx lr @ return
iAdriTabOperand1: .int iTabOperand1
iAdriTabOperand2: .int iTabOperand2
iAdriTabOperation: .int iTabOperation
/******************************************************************/
/* write solution */
/******************************************************************/
writeSoluce:
push {r1-r12,lr} @ save registers
ldr r6,iAdriTabOperand1
ldr r7,iAdriTabOperand2
ldr r8,iAdriTabOperation
ldr r10,iAdrsBuffer
mov r4,#0 @ buffer indice
mov r9,#1
1:
ldr r5,[r6,r9,lsl #2] @ operand 1
ldr r11,[r7,r9,lsl #2] @ operand 2
ldr r12,[r8,r9,lsl #2] @ operator
cmp r12,#'-'
beq 2f
cmp r12,#'/'
beq 2f
b 3f
2: @ if division or soustraction
cmp r5,r11 @ reverse operand if operand 1 is < operand 2
movlt r2,r5
movlt r5,r11
movlt r11,r2
3: @ conversion operand 1 = r0
mov r0,r5
mov r1,#10
bl division
cmp r2,#0
addne r2,r2,#0x30
strneb r2,[r10,r4]
addne r4,r4,#1
add r3,r3,#0x30
strb r3,[r10,r4]
add r4,r4,#1
ldr r2,[r7,r9,lsl #2]
strb r12,[r10,r4] @ operator
add r4,r4,#1
mov r0,r11 @ conversion operand 2
mov r1,#10
bl division
cmp r2,#0
addne r2,r2,#0x30
strneb r2,[r10,r4]
addne r4,r4,#1
add r3,r3,#0x30
strb r3,[r10,r4]
add r4,r4,#1
mov r0,#'='
str r0,[r10,r4] @ conversion sous total
add r4,r4,#1
cmp r12,#'+'
addeq r0,r5,r11
cmp r12,#'-'
subeq r0,r5,r11
cmp r12,#'*'
muleq r0,r5,r11
cmp r12,#'/'
udiveq r0,r5,r11
mov r1,#10
bl division
cmp r2,#0
addne r2,r2,#0x30
strneb r2,[r10,r4]
addne r4,r4,#1
add r3,r3,#0x30
strb r3,[r10,r4]
add r4,r4,#1
mov r0,#'\n'
str r0,[r10,r4]
add r4,r4,#1
add r9,#1
cmp r9,#NBDIGITS
blt 1b
mov r1,#0
strb r1,[r10,r4] @ store 0 final
100:
pop {r1-r12,lr}
bx lr @ return
iAdrsBuffer: .int sBuffer
/******************************************************************/
/* string entry */
/******************************************************************/
/* r0 return the first character of human entry */
saisie:
push {r1-r7,lr} @ save registers
mov r0,#STDIN @ Linux input console
ldr r1,iAdrsBuffer @ buffer address
mov r2,#BUFFERSIZE @ buffer size
mov r7,#READ @ request to read datas
svc 0 @ call system
ldr r1,iAdrsBuffer @ buffer address
ldrb r0,[r1] @ load first character
100:
pop {r1-r7,lr}
bx lr @ return
/***************************************************/
/* Generation random number */
/***************************************************/
/* r0 contains limit */
genereraleas:
push {r1-r4,lr} @ save registers
ldr r4,iAdriGraine
ldr r2,[r4]
ldr r3,iNbDep1
mul r2,r3,r2
ldr r3,iNbDep2
add r2,r2,r3
str r2,[r4] @ maj de la graine pour l appel suivant
cmp r0,#0
beq 100f
add r1,r0,#1 @ divisor
mov r0,r2 @ dividende
bl division
mov r0,r3 @ résult = remainder
100: @ end function
pop {r1-r4,lr} @ restaur registers
bx lr @ return
/*****************************************************/
iAdriGraine: .int iGraine
iNbDep1: .int 0x343FD
iNbDep2: .int 0x269EC3
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Groovy | Groovy | class FourRings {
static void main(String[] args) {
fourSquare(1, 7, true, true)
fourSquare(3, 9, true, true)
fourSquare(0, 9, false, false)
}
private static void fourSquare(int low, int high, boolean unique, boolean print) {
int count = 0
if (print) {
println("a b c d e f g")
}
for (int a = low; a <= high; ++a) {
for (int b = low; b <= high; ++b) {
if (notValid(unique, a, b)) continue
int fp = a + b
for (int c = low; c <= high; ++c) {
if (notValid(unique, c, a, b)) continue
for (int d = low; d <= high; ++d) {
if (notValid(unique, d, a, b, c)) continue
if (fp != b + c + d) continue
for (int e = low; e <= high; ++e) {
if (notValid(unique, e, a, b, c, d)) continue
for (int f = low; f <= high; ++f) {
if (notValid(unique, f, a, b, c, d, e)) continue
if (fp != d + e + f) continue
for (int g = low; g <= high; ++g) {
if (notValid(unique, g, a, b, c, d, e, f)) continue
if (fp != f + g) continue
++count
if (print) {
printf("%d %d %d %d %d %d %d%n", a, b, c, d, e, f, g)
}
}
}
}
}
}
}
}
if (unique) {
printf("There are %d unique solutions in [%d, %d]%n", count, low, high)
} else {
printf("There are %d non-unique solutions in [%d, %d]%n", count, low, high)
}
}
private static boolean notValid(boolean unique, int needle, int ... haystack) {
return unique && Arrays.stream(haystack).anyMatch({ p -> p == needle })
}
} |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #11l | 11l | L(i) (99..1).step(-1)
print(i‘ bottles of beer on the wall’)
print(i‘ bottles of beer’)
print(‘Take one down, pass it around’)
print((i - 1)" bottles of beer on the wall\n") |
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #Argile | Argile | use std, array, list
do
generate random digits
show random digits
let result = parse expression (get input line)
if result != ERROR
if some digits are unused
print "Wrong ! (you didn't use all digits)" ; failure++
else if result == 24.0
print "Correct !" ; success++
else
print "Wrong ! (you got "result")" ; failure++
while play again ?
print "success:"success" failure:"failure" total:"(success+failure) as int
let success = 0, failure = 0.
.: generate random digits :.
our nat seed = 0xc6f31 (: default seed when /dev/urandom doesn't exist :)
let urandom = fopen "/dev/urandom" "r"
if urandom isn't nil
fread &seed size of seed 1 urandom
fclose urandom
Cfunc srandom seed
seed = (Cfunc random) as nat
for each (val int d) from 0 to 3
digits[d] = '1' + (seed % 9)
seed /= 9
let digits be an array of 4 byte
.: show random digits :.
print "Enter an expression that equates to 24 using only all these digits:"
printf "%c , %c , %c , %c\n"(digits[0])(digits[1])(digits[2])(digits[3])
printf "24 = "
.: some digits are unused :. -> bool
for each (val int d) from 0 to 3
return true if digits[d] != '\0'
false
.: get input line :. -> text
our array of 64 byte line
Cfunc fgets (line) (size of line) (stdin)
let int i
for (i = 0) (line[i] != 0) (i++)
line[i] = '\0' if (line[i] == '\n')
line as text
.: play again ? :. -> bool
while true
printf "Play again ? (y/n) " ; Cfunc fflush stdout
let answer = get input line
switch answer[0]
case 'n' {return false}
case 'y' {return true }
default {continue }
false
=: ERROR := -> real {-32202.0}
.: parse expression <text expr> :. -> real
let x = 0.0, x_is_set = false, op = ' '.
let stack be a list of State ; class State {byte op; real x}
for (stack = nil) (*expr != 0) (expr++)
switch *expr
case '+' ; case '-' ; case '*' ; case '/'
error "bad syntax" if not x_is_set
op = *expr
case '1' ; case '2' ; case '3' ; case '4' ; case '5'
case '6' ; case '7' ; case '8' ; case '9'
error "missing operator" if (x_is_set and op == ' ')
error "unavailable digit" unless consume digit expr[0]
do operation with (expr[0] - '0') as real
case (Cgen "'('")
error "missing operator" if (op == ' ' but x_is_set)
(new list (new State) (code of del State())) << stack
op = ' ' ; x_is_set = false (: start fresh state :)
case (Cgen "')'")
error "mismatched parenthesis" if stack is nil
error "wrong syntax" if not x_is_set
let y = x
x = stack.data.x ; op = stack.data.op
delete pop stack
do operation with y
default {error "disallowed character"}
.:new State :. -> State {let s=new(State); s.x=x; s.op=op; s}
.:del State <State s>:. { free s }
.:do operation with <real y>:.
switch op
case '+' {x += y}
case '-' {x -= y}
case '*' {x *= y}
case '/' {x /= y}
default {x = y; x_is_set = true}
op = ' '
=:error<text msg>:= ->real {eprint "Error: "msg" at ["expr"]";return ERROR}
.:consume digit <byte b>:. -> bool
for each (val int d) from 0 to 3
if digits[d] == b
digits[d] = '\0'
return true
false
if stack isn't nil
delete all stack
error "unclosed parenthesis"
return x
|
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #PARI.2FGP | PARI/GP | row(n)=my(v=vector(n)); forpart(i=n,v[i[#i]]++); v;
show(n)=for(k=1,n,print(row(k)));
show(25)
apply(numbpart, [23,123,1234,12345])
plot(x=1,999.9, numbpart(x\1)) |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #AutoHotkey | AutoHotkey | Gui, Add, Edit, vEdit ;Enter your A+B, i.e. 5+3 or 5+3+1+4+6+2
Gui, Add, Button, gAdd, Add
Gui, Add, Edit, ReadOnly x+10 w80
Gui, Show
return
Add:
Gui, Submit, NoHide
Loop, Parse, Edit, + ;its taking each substring separated by "+" and its storing it in A_LoopField
var += A_LoopField ;here its adding it to var
GuiControl, Text, Edit2, %var% ;here it displays var in the second edit control
var := 0 ;here it makes sure var is 0 so it won't contain the value from the previous addition
return |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #Shen | Shen | (define ack
0 N -> (+ N 1)
M 0 -> (ack (- M 1) 1)
M N -> (ack (- M 1)
(ack M (- N 1)))) |
http://rosettacode.org/wiki/Abbreviations,_automatic | Abbreviations, automatic | The use of abbreviations (also sometimes called synonyms, nicknames, AKAs, or aliases) can be an
easy way to add flexibility when specifying or using commands, sub─commands, options, etc.
It would make a list of words easier to maintain (as words are added, changed, and/or deleted) if
the minimum abbreviation length of that list could be automatically (programmatically) determined.
For this task, use the list (below) of the days-of-the-week names that are expressed in about a hundred languages (note that there is a blank line in the list).
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Sondag Maandag Dinsdag Woensdag Donderdag Vrydag Saterdag
E_djelë E_hënë E_martë E_mërkurë E_enjte E_premte E_shtunë
Ehud Segno Maksegno Erob Hamus Arbe Kedame
Al_Ahad Al_Ithinin Al_Tholatha'a Al_Arbia'a Al_Kamis Al_Gomia'a Al_Sabit
Guiragui Yergou_shapti Yerek_shapti Tchorek_shapti Hink_shapti Ourpat Shapat
domingu llunes martes miércoles xueves vienres sábadu
Bazar_gÜnÜ Birinci_gÜn Çkinci_gÜn ÜçÜncÜ_gÜn DÖrdÜncÜ_gÜn Bes,inci_gÜn Altòncò_gÜn
Igande Astelehen Astearte Asteazken Ostegun Ostiral Larunbat
Robi_bar Shom_bar Mongal_bar Budhh_bar BRihashpati_bar Shukro_bar Shoni_bar
Nedjelja Ponedeljak Utorak Srijeda Cxetvrtak Petak Subota
Disul Dilun Dimeurzh Dimerc'her Diriaou Digwener Disadorn
nedelia ponedelnik vtornik sriada chetvartak petak sabota
sing_kei_yaht sing_kei_yat sing_kei_yee sing_kei_saam sing_kei_sie sing_kei_ng sing_kei_luk
Diumenge Dilluns Dimarts Dimecres Dijous Divendres Dissabte
Dzeenkk-eh Dzeehn_kk-ehreh Dzeehn_kk-ehreh_nah_kay_dzeeneh Tah_neesee_dzeehn_neh Deehn_ghee_dzee-neh Tl-oowey_tts-el_dehlee Dzeentt-ahzee
dy_Sul dy_Lun dy_Meurth dy_Mergher dy_You dy_Gwener dy_Sadorn
Dimanch Lendi Madi Mèkredi Jedi Vandredi Samdi
nedjelja ponedjeljak utorak srijeda cxetvrtak petak subota
nede^le ponde^lí úterÿ str^eda c^tvrtek pátek sobota
Sondee Mondee Tiisiday Walansedee TOOsedee Feraadee Satadee
s0ndag mandag tirsdag onsdag torsdag fredag l0rdag
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
Diman^co Lundo Mardo Merkredo ^Jaùdo Vendredo Sabato
pÜhapäev esmaspäev teisipäev kolmapäev neljapäev reede laupäev
Diu_prima Diu_sequima Diu_tritima Diu_quartima Diu_quintima Diu_sextima Diu_sabbata
sunnudagur mánadagur tÿsdaguy mikudagur hósdagur friggjadagur leygardagur
Yek_Sham'beh Do_Sham'beh Seh_Sham'beh Cha'har_Sham'beh Panj_Sham'beh Jom'eh Sham'beh
sunnuntai maanantai tiistai keskiviiko torsktai perjantai lauantai
dimanche lundi mardi mercredi jeudi vendredi samedi
Snein Moandei Tiisdei Woansdei Tonersdei Freed Sneon
Domingo Segunda_feira Martes Mércores Joves Venres Sábado
k'vira orshabati samshabati otkhshabati khutshabati p'arask'evi shabati
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Samstag
Kiriaki' Defte'ra Tri'ti Teta'rti Pe'mpti Paraskebi' Sa'bato
ravivaar somvaar mangalvaar budhvaar guruvaar shukravaar shanivaar
pópule pó`akahi pó`alua pó`akolu pó`ahá pó`alima pó`aono
Yom_rishon Yom_sheni Yom_shlishi Yom_revi'i Yom_chamishi Yom_shishi Shabat
ravivara somavar mangalavar budhavara brahaspativar shukravara shanivar
vasárnap hétfö kedd szerda csütörtök péntek szombat
Sunnudagur Mánudagur ╞riδjudagur Miδvikudagar Fimmtudagur FÖstudagur Laugardagur
sundio lundio mardio merkurdio jovdio venerdio saturdio
Minggu Senin Selasa Rabu Kamis Jumat Sabtu
Dominica Lunedi Martedi Mercuridi Jovedi Venerdi Sabbato
Dé_Domhnaigh Dé_Luain Dé_Máirt Dé_Ceadaoin Dé_ardaoin Dé_hAoine Dé_Sathairn
domenica lunedí martedí mercoledí giovedí venerdí sabato
Nichiyou_bi Getzuyou_bi Kayou_bi Suiyou_bi Mokuyou_bi Kin'you_bi Doyou_bi
Il-yo-il Wol-yo-il Hwa-yo-il Su-yo-il Mok-yo-il Kum-yo-il To-yo-il
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
sve-tdien pirmdien otrdien tresvdien ceturtdien piektdien sestdien
Sekmadienis Pirmadienis Antradienis Trec^iadienis Ketvirtadienis Penktadienis S^es^tadienis
Wangu Kazooba Walumbe Mukasa Kiwanuka Nnagawonye Wamunyi
xing-_qi-_rì xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
Jedoonee Jelune Jemayrt Jecrean Jardaim Jeheiney Jesam
Jabot Manre Juje Wonje Taije Balaire Jarere
geminrongo minòmishi mártes mièrkoles misheushi bèrnashi mishábaro
Ahad Isnin Selasa Rabu Khamis Jumaat Sabtu
sφndag mandag tirsdag onsdag torsdag fredag lφrdag
lo_dimenge lo_diluns lo_dimarç lo_dimèrcres lo_dijòus lo_divendres lo_dissabte
djadomingo djaluna djamars djarason djaweps djabièrna djasabra
Niedziela Poniedzial/ek Wtorek S,roda Czwartek Pia,tek Sobota
Domingo segunda-feire terça-feire quarta-feire quinta-feire sexta-feira såbado
Domingo Lunes martes Miercoles Jueves Viernes Sabado
Duminicª Luni Mart'i Miercuri Joi Vineri Sâmbªtª
voskresenie ponedelnik vtornik sreda chetverg pyatnitsa subbota
Sunday Di-luain Di-màirt Di-ciadain Di-ardaoin Di-haoine Di-sathurne
nedjelja ponedjeljak utorak sreda cxetvrtak petak subota
Sontaha Mmantaha Labobedi Laboraro Labone Labohlano Moqebelo
Iridha- Sandhudha- Anga.haruwa-dha- Badha-dha- Brahaspa.thindha- Sikura-dha- Sena.sura-dha-
nedel^a pondelok utorok streda s^tvrtok piatok sobota
Nedelja Ponedeljek Torek Sreda Cxetrtek Petek Sobota
domingo lunes martes miércoles jueves viernes sábado
sonde mundey tude-wroko dride-wroko fode-wroko freyda Saturday
Jumapili Jumatatu Jumanne Jumatano Alhamisi Ijumaa Jumamosi
söndag måndag tisdag onsdag torsdag fredag lordag
Linggo Lunes Martes Miyerkoles Huwebes Biyernes Sabado
Lé-pài-jít Pài-it Pài-jï Pài-sañ Pài-sì Pài-gÖ. Pài-lák
wan-ar-tit wan-tjan wan-ang-kaan wan-phoet wan-pha-ru-hat-sa-boh-die wan-sook wan-sao
Tshipi Mosupologo Labobedi Laboraro Labone Labotlhano Matlhatso
Pazar Pazartesi Sali Çar,samba Per,sembe Cuma Cumartesi
nedilya ponedilok vivtorok sereda chetver pyatnytsya subota
Chu?_Nhâ.t Thú*_Hai Thú*_Ba Thú*_Tu* Thú*_Na'm Thú*_Sáu Thú*_Ba?y
dydd_Sul dyds_Llun dydd_Mawrth dyds_Mercher dydd_Iau dydd_Gwener dyds_Sadwrn
Dibeer Altine Talaata Allarba Al_xebes Aljuma Gaaw
iCawa uMvulo uLwesibini uLwesithathu uLuwesine uLwesihlanu uMgqibelo
zuntik montik dinstik mitvokh donershtik fraytik shabes
iSonto uMsombuluko uLwesibili uLwesithathu uLwesine uLwesihlanu uMgqibelo
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
Bazar_gÜnÜ Bazar_ærtæsi Çærs,ænbæ_axs,amò Çærs,ænbæ_gÜnÜ CÜmæ_axs,amò CÜmæ_gÜnÜ CÜmæ_Senbæ
Sun Moon Mars Mercury Jove Venus Saturn
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
KoseEraa GyoOraa BenEraa Kuoraa YOwaaraa FeEraa Memenaa
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Sonnabend
Domingo Luns Terza_feira Corta_feira Xoves Venres Sábado
Dies_Solis Dies_Lunae Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Sabbatum
xing-_qi-_tiàn xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
djadomingu djaluna djamars djarason djaweps djabièrnè djasabra
Killachau Atichau Quoyllurchau Illapachau Chaskachau Kuychichau Intichau
Caveat: The list (above) most surely contains errors (or, at the least, differences) of what the actual (or true) names for the days-of-the-week.
To make this Rosetta Code task page as small as possible, if processing the complete list, read the days-of-the-week from a file (that is created from the above list).
Notes concerning the above list of words
each line has a list of days-of-the-week for a language, separated by at least one blank
the words on each line happen to be in order, from Sunday ──► Saturday
most lines have words in mixed case and some have all manner of accented words and other characters
some words were translated to the nearest character that was available to code page 437
the characters in the words are not restricted except that they may not have imbedded blanks
for this example, the use of an underscore (_) was used to indicate a blank in a word
Task
The list of words (days of the week) needn't be verified/validated.
Write a function to find the (numeric) minimum length abbreviation for each line that would make abbreviations unique.
A blank line (or a null line) should return a null string.
Process and show the output for at least the first five lines of the file.
Show all output here.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Vlang | Vlang | import os
fn distinct_strings(strs []string) []string {
len := strs.len
mut set := map[string]bool{}
mut distinct := []string{cap: len}
for str in strs {
if str !in set {
distinct << str
set[str] = true
}
}
return distinct
}
fn take_runes(s string, n int) string {
mut i := 0
for j in 0..s.len {
if i == n {
return s[..j]
}
i++
}
return s
}
fn main() {
lines := os.read_lines('days_of_week.txt')?
mut line_count := 0
for l in lines {
mut line := l
line = line.trim(' ')
line_count++
if line == "" {
println('')
continue
}
days := line.split(' ')
if days.len != 7 {
println("There aren't 7 days in line $line_count")
return
}
if distinct_strings(days).len != 7 { // implies some days have the same name
println(" ∞ $line")
continue
}
for abbrev_len := 1; ; abbrev_len++ {
mut abbrevs := []string{len: days.len}
for i := 0; i < days.len; i++ {
abbrevs[i] = take_runes(days[i], abbrev_len)
}
if distinct_strings(abbrevs).len == 7 {
println("${abbrev_len:2} $line")
break
}
}
}
} |
http://rosettacode.org/wiki/Abbreviations,_automatic | Abbreviations, automatic | The use of abbreviations (also sometimes called synonyms, nicknames, AKAs, or aliases) can be an
easy way to add flexibility when specifying or using commands, sub─commands, options, etc.
It would make a list of words easier to maintain (as words are added, changed, and/or deleted) if
the minimum abbreviation length of that list could be automatically (programmatically) determined.
For this task, use the list (below) of the days-of-the-week names that are expressed in about a hundred languages (note that there is a blank line in the list).
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Sondag Maandag Dinsdag Woensdag Donderdag Vrydag Saterdag
E_djelë E_hënë E_martë E_mërkurë E_enjte E_premte E_shtunë
Ehud Segno Maksegno Erob Hamus Arbe Kedame
Al_Ahad Al_Ithinin Al_Tholatha'a Al_Arbia'a Al_Kamis Al_Gomia'a Al_Sabit
Guiragui Yergou_shapti Yerek_shapti Tchorek_shapti Hink_shapti Ourpat Shapat
domingu llunes martes miércoles xueves vienres sábadu
Bazar_gÜnÜ Birinci_gÜn Çkinci_gÜn ÜçÜncÜ_gÜn DÖrdÜncÜ_gÜn Bes,inci_gÜn Altòncò_gÜn
Igande Astelehen Astearte Asteazken Ostegun Ostiral Larunbat
Robi_bar Shom_bar Mongal_bar Budhh_bar BRihashpati_bar Shukro_bar Shoni_bar
Nedjelja Ponedeljak Utorak Srijeda Cxetvrtak Petak Subota
Disul Dilun Dimeurzh Dimerc'her Diriaou Digwener Disadorn
nedelia ponedelnik vtornik sriada chetvartak petak sabota
sing_kei_yaht sing_kei_yat sing_kei_yee sing_kei_saam sing_kei_sie sing_kei_ng sing_kei_luk
Diumenge Dilluns Dimarts Dimecres Dijous Divendres Dissabte
Dzeenkk-eh Dzeehn_kk-ehreh Dzeehn_kk-ehreh_nah_kay_dzeeneh Tah_neesee_dzeehn_neh Deehn_ghee_dzee-neh Tl-oowey_tts-el_dehlee Dzeentt-ahzee
dy_Sul dy_Lun dy_Meurth dy_Mergher dy_You dy_Gwener dy_Sadorn
Dimanch Lendi Madi Mèkredi Jedi Vandredi Samdi
nedjelja ponedjeljak utorak srijeda cxetvrtak petak subota
nede^le ponde^lí úterÿ str^eda c^tvrtek pátek sobota
Sondee Mondee Tiisiday Walansedee TOOsedee Feraadee Satadee
s0ndag mandag tirsdag onsdag torsdag fredag l0rdag
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
Diman^co Lundo Mardo Merkredo ^Jaùdo Vendredo Sabato
pÜhapäev esmaspäev teisipäev kolmapäev neljapäev reede laupäev
Diu_prima Diu_sequima Diu_tritima Diu_quartima Diu_quintima Diu_sextima Diu_sabbata
sunnudagur mánadagur tÿsdaguy mikudagur hósdagur friggjadagur leygardagur
Yek_Sham'beh Do_Sham'beh Seh_Sham'beh Cha'har_Sham'beh Panj_Sham'beh Jom'eh Sham'beh
sunnuntai maanantai tiistai keskiviiko torsktai perjantai lauantai
dimanche lundi mardi mercredi jeudi vendredi samedi
Snein Moandei Tiisdei Woansdei Tonersdei Freed Sneon
Domingo Segunda_feira Martes Mércores Joves Venres Sábado
k'vira orshabati samshabati otkhshabati khutshabati p'arask'evi shabati
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Samstag
Kiriaki' Defte'ra Tri'ti Teta'rti Pe'mpti Paraskebi' Sa'bato
ravivaar somvaar mangalvaar budhvaar guruvaar shukravaar shanivaar
pópule pó`akahi pó`alua pó`akolu pó`ahá pó`alima pó`aono
Yom_rishon Yom_sheni Yom_shlishi Yom_revi'i Yom_chamishi Yom_shishi Shabat
ravivara somavar mangalavar budhavara brahaspativar shukravara shanivar
vasárnap hétfö kedd szerda csütörtök péntek szombat
Sunnudagur Mánudagur ╞riδjudagur Miδvikudagar Fimmtudagur FÖstudagur Laugardagur
sundio lundio mardio merkurdio jovdio venerdio saturdio
Minggu Senin Selasa Rabu Kamis Jumat Sabtu
Dominica Lunedi Martedi Mercuridi Jovedi Venerdi Sabbato
Dé_Domhnaigh Dé_Luain Dé_Máirt Dé_Ceadaoin Dé_ardaoin Dé_hAoine Dé_Sathairn
domenica lunedí martedí mercoledí giovedí venerdí sabato
Nichiyou_bi Getzuyou_bi Kayou_bi Suiyou_bi Mokuyou_bi Kin'you_bi Doyou_bi
Il-yo-il Wol-yo-il Hwa-yo-il Su-yo-il Mok-yo-il Kum-yo-il To-yo-il
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
sve-tdien pirmdien otrdien tresvdien ceturtdien piektdien sestdien
Sekmadienis Pirmadienis Antradienis Trec^iadienis Ketvirtadienis Penktadienis S^es^tadienis
Wangu Kazooba Walumbe Mukasa Kiwanuka Nnagawonye Wamunyi
xing-_qi-_rì xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
Jedoonee Jelune Jemayrt Jecrean Jardaim Jeheiney Jesam
Jabot Manre Juje Wonje Taije Balaire Jarere
geminrongo minòmishi mártes mièrkoles misheushi bèrnashi mishábaro
Ahad Isnin Selasa Rabu Khamis Jumaat Sabtu
sφndag mandag tirsdag onsdag torsdag fredag lφrdag
lo_dimenge lo_diluns lo_dimarç lo_dimèrcres lo_dijòus lo_divendres lo_dissabte
djadomingo djaluna djamars djarason djaweps djabièrna djasabra
Niedziela Poniedzial/ek Wtorek S,roda Czwartek Pia,tek Sobota
Domingo segunda-feire terça-feire quarta-feire quinta-feire sexta-feira såbado
Domingo Lunes martes Miercoles Jueves Viernes Sabado
Duminicª Luni Mart'i Miercuri Joi Vineri Sâmbªtª
voskresenie ponedelnik vtornik sreda chetverg pyatnitsa subbota
Sunday Di-luain Di-màirt Di-ciadain Di-ardaoin Di-haoine Di-sathurne
nedjelja ponedjeljak utorak sreda cxetvrtak petak subota
Sontaha Mmantaha Labobedi Laboraro Labone Labohlano Moqebelo
Iridha- Sandhudha- Anga.haruwa-dha- Badha-dha- Brahaspa.thindha- Sikura-dha- Sena.sura-dha-
nedel^a pondelok utorok streda s^tvrtok piatok sobota
Nedelja Ponedeljek Torek Sreda Cxetrtek Petek Sobota
domingo lunes martes miércoles jueves viernes sábado
sonde mundey tude-wroko dride-wroko fode-wroko freyda Saturday
Jumapili Jumatatu Jumanne Jumatano Alhamisi Ijumaa Jumamosi
söndag måndag tisdag onsdag torsdag fredag lordag
Linggo Lunes Martes Miyerkoles Huwebes Biyernes Sabado
Lé-pài-jít Pài-it Pài-jï Pài-sañ Pài-sì Pài-gÖ. Pài-lák
wan-ar-tit wan-tjan wan-ang-kaan wan-phoet wan-pha-ru-hat-sa-boh-die wan-sook wan-sao
Tshipi Mosupologo Labobedi Laboraro Labone Labotlhano Matlhatso
Pazar Pazartesi Sali Çar,samba Per,sembe Cuma Cumartesi
nedilya ponedilok vivtorok sereda chetver pyatnytsya subota
Chu?_Nhâ.t Thú*_Hai Thú*_Ba Thú*_Tu* Thú*_Na'm Thú*_Sáu Thú*_Ba?y
dydd_Sul dyds_Llun dydd_Mawrth dyds_Mercher dydd_Iau dydd_Gwener dyds_Sadwrn
Dibeer Altine Talaata Allarba Al_xebes Aljuma Gaaw
iCawa uMvulo uLwesibini uLwesithathu uLuwesine uLwesihlanu uMgqibelo
zuntik montik dinstik mitvokh donershtik fraytik shabes
iSonto uMsombuluko uLwesibili uLwesithathu uLwesine uLwesihlanu uMgqibelo
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
Bazar_gÜnÜ Bazar_ærtæsi Çærs,ænbæ_axs,amò Çærs,ænbæ_gÜnÜ CÜmæ_axs,amò CÜmæ_gÜnÜ CÜmæ_Senbæ
Sun Moon Mars Mercury Jove Venus Saturn
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
KoseEraa GyoOraa BenEraa Kuoraa YOwaaraa FeEraa Memenaa
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Sonnabend
Domingo Luns Terza_feira Corta_feira Xoves Venres Sábado
Dies_Solis Dies_Lunae Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Sabbatum
xing-_qi-_tiàn xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
djadomingu djaluna djamars djarason djaweps djabièrnè djasabra
Killachau Atichau Quoyllurchau Illapachau Chaskachau Kuychichau Intichau
Caveat: The list (above) most surely contains errors (or, at the least, differences) of what the actual (or true) names for the days-of-the-week.
To make this Rosetta Code task page as small as possible, if processing the complete list, read the days-of-the-week from a file (that is created from the above list).
Notes concerning the above list of words
each line has a list of days-of-the-week for a language, separated by at least one blank
the words on each line happen to be in order, from Sunday ──► Saturday
most lines have words in mixed case and some have all manner of accented words and other characters
some words were translated to the nearest character that was available to code page 437
the characters in the words are not restricted except that they may not have imbedded blanks
for this example, the use of an underscore (_) was used to indicate a blank in a word
Task
The list of words (days of the week) needn't be verified/validated.
Write a function to find the (numeric) minimum length abbreviation for each line that would make abbreviations unique.
A blank line (or a null line) should return a null string.
Process and show the output for at least the first five lines of the file.
Show all output here.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Wren | Wren | import "io" for File
import "/pattern" for Pattern
import "/seq" for Lst
import "/fmt" for Fmt
var p = Pattern.new("+1/s")
var lines = File.read("days_of_week.txt").split("\n").map { |l| l.trim() }
var i = 1
for (line in lines) {
if (line == "") {
if (i != lines.count) System.print()
} else {
var days = p.splitAll(line)
if (days.count != 7) Fiber.abort("There aren't seven days in line %(i).")
if (Lst.distinct(days).count < 7) { // implies some days have the same name
System.print(" ∞ %(line)")
} else {
var len = 1
while (true) {
if (Lst.distinct(days.map { |d| d.take(len).join() }.toList).count == 7) {
Fmt.print("$2d $s", len, line)
break
}
len = len + 1
}
}
}
i = i + 1
} |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #CoffeeScript | CoffeeScript | blockList = [ 'BO', 'XK', 'DQ', 'CP', 'NA', 'GT', 'RE', 'TG', 'QD', 'FS', 'JW', 'HU', 'VI', 'AN', 'OB', 'ER', 'FS', 'LY', 'PC', 'ZM' ]
canMakeWord = (word="") ->
# Create a shallow clone of the master blockList
blocks = blockList.slice 0
# Check if blocks contains letter
checkBlocks = (letter) ->
# Loop through every remaining block
for block, idx in blocks
# If letter is in block, blocks.splice will return an array, which will evaluate as true
return blocks.splice idx, 1 if letter.toUpperCase() in block
false
# Return true if there are no falsy values
false not in (checkBlocks letter for letter in word)
# Expect true, true, false, true, false, true, true, true
for word in ["A", "BARK", "BOOK", "TREAT", "COMMON", "squad", "CONFUSE", "STORM"]
console.log word + " -> " + canMakeWord(word) |
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Perl | Perl | use strict;
use warnings;
use feature 'say';
use ntheory qw/divisor_sum divisors/;
sub odd_abundants {
my($start,$count) = @_;
my $n = int(( $start + 2 ) / 3);
$n += 1 if 0 == $n % 2;
$n *= 3;
my @out;
while (@out < $count) {
$n += 6;
next unless (my $ds = divisor_sum($n)) > 2*$n;
my @d = divisors($n);
push @out, sprintf "%6d: divisor sum: %s = %d", $n, join(' + ', @d[0..@d-2]), $ds-$n;
}
@out;
}
say 'First 25 abundant odd numbers:';
say for odd_abundants(1, 25);
say "\nOne thousandth abundant odd number:\n", (odd_abundants(1, 1000))[999];
say "\nFirst abundant odd number above one billion:\n", odd_abundants(999_999_999, 1); |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #Fortran | Fortran | ! game 21 - an example in modern fortran language for rosseta code.
subroutine ai
common itotal, igoal
if (itotal .lt. igoal) then
move = 1
do i = 1, 3
if (mod(itotal + i - 1 , 4) .eq. 0) then
move = i
end if
end do
do i = 1, 3
if (itotal + i .eq. igoal) then
move = i
end if
end do
print *, " ai ", itotal + move, " = ", itotal, " + ", move
itotal = itotal + move
if (itotal .eq. igoal) then
print *, ""
print *, "the winner is ai"
print *, ""
end if
end if
end subroutine ai
subroutine human
common itotal, igoal
print *, ""
do while (.true.)
if (itotal + 1 .eq. igoal) then
print *, "enter 1 (or 0 to exit): "
else if (itotal + 2 .eq. igoal) then
print *, "enter 1 or 2 (or 0 to exit): "
else
print *, "enter 1 or 2 or 3 (or 0 to exit)"
end if
read(*,*) move
if (move .eq. 0) then
stop
else if (move .ge. 1 .and. move .le. 3 .and. move + itotal .le. igoal) then
print *, " human ", itotal + move, " = ", itotal, " + ", move
itotal = itotal + move
if (itotal .eq. igoal) then
print *, ""
print *, "the winner is human"
print *, ""
end if
return
else
print *, "a bad choice"
end if
end do
end subroutine human
program main
common itotal, igoal
print *,"game 21 - an example in fortran iv language for rosseta code."
print *,""
print *,"21 is a two player game, the game is played by choosing a number"
print *,"(1, 2, or 3) to be added to the running total. the game is won"
print *,"by the player whose chosen number causes the running total to reach"
print *,"exactly 21. the running total starts at zero."
print *,""
i = irand(1)
igoal = 21
do while(.true.)
print *, "---- new game ----"
print *, ""
print *, "the running total is currently zero."
print *, ""
itotal = 0
if (mod(irand(0), 2) .eq. 0) then
print *, "the first move is ai move."
call ai
else
print *, "the first move is human move."
end if
print *, ""
do while(itotal .lt. igoal)
call human
call ai
end do
end do
end program main |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #AutoHotkey | AutoHotkey | #NoEnv
InputBox, NNNN ; user input 4 digits
NNNN := RegExReplace(NNNN, "(\d)(?=\d)", "$1,") ; separate with commas for the sort command
sort NNNN, d`, ; sort in ascending order for the permutations to work
StringReplace NNNN, NNNN, `,, , All ; remove comma separators after sorting
ops := "+-*/"
patterns := [ "x x.x.x."
,"x x.x x.."
,"x x x..x."
,"x x x.x.."
,"x x x x..." ]
; build bruteforce operator list ("+++, ++-, ++* ... ///")
a := b := c := 0
While (++a<5){
While (++b<5){
While (++c<5){
l := SubStr(ops, a, 1) . SubStr(ops, b, 1) . SubStr(ops, c, 1)
; build bruteforce template ("x x+x+x+, x x+x x++ ... x x x x///")
For each, pattern in patterns
{
Loop 3
StringReplace, pattern, pattern, ., % SubStr(l, A_Index, 1)
pat .= pattern "`n"
}
}c := 0
}b := 0
}
StringTrimRight, pat, pat, 1 ; remove trailing newline
; permutate input. As the lexicographic algorithm is used, each permutation generated is unique
While NNNN
{
StringSplit, N, NNNN
; substitute numbers in for x's and evaluate
Loop Parse, pat, `n
{
eval := A_LoopField ; current line
Loop 4
StringReplace, eval, eval, x, % N%A_Index% ; substitute number for "x"
If Round(evalRPN(eval), 4) = 24
final .= eval "`n"
}
NNNN := perm_next(NNNN) ; next lexicographic permutation of user's digits
}
MsgBox % final ? clipboard := final : "No solution"
; simple stack-based evaluation. Integers only. Whitespace is used to push a value.
evalRPN(s){
stack := []
Loop Parse, s
If A_LoopField is number
t .= A_LoopField
else
{
If t
stack.Insert(t), t := ""
If InStr("+-/*", l := A_LoopField)
{
a := stack.Remove(), b := stack.Remove()
stack.Insert( l = "+" ? b + a
:l = "-" ? b - a
:l = "*" ? b * a
:l = "/" ? b / a
:0 )
}
}
return stack.Remove()
}
perm_Next(str){
p := 0, sLen := StrLen(str)
Loop % sLen
{
If A_Index=1
continue
t := SubStr(str, sLen+1-A_Index, 1)
n := SubStr(str, sLen+2-A_Index, 1)
If ( t < n )
{
p := sLen+1-A_Index, pC := SubStr(str, p, 1)
break
}
}
If !p
return false
Loop
{
t := SubStr(str, sLen+1-A_Index, 1)
If ( t > pC )
{
n := sLen+1-A_Index, nC := SubStr(str, n, 1)
break
}
}
return SubStr(str, 1, p-1) . nC . Reverse(SubStr(str, p+1, n-p-1) . pC . SubStr(str, n+1))
}
Reverse(s){
Loop Parse, s
o := A_LoopField o
return o
} |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Haskell | Haskell | import Data.List
import Control.Monad
perms :: (Eq a) => [a] -> [[a]]
perms [] = [[]]
perms xs = [ x:xr | x <- xs, xr <- perms (xs\\[x]) ]
combs :: (Eq a) => Int -> [a] -> [[a]]
combs 0 _ = [[]]
combs n xs = [ x:xr | x <- xs, xr <- combs (n-1) xs ]
ringCheck :: [Int] -> Bool
ringCheck [x0, x1, x2, x3, x4, x5, x6] =
v == x1+x2+x3
&& v == x3+x4+x5
&& v == x5+x6
where v = x0 + x1
fourRings :: Int -> Int -> Bool -> Bool -> IO ()
fourRings low high allowRepeats verbose = do
let candidates = if allowRepeats
then combs 7 [low..high]
else perms [low..high]
solutions = filter ringCheck candidates
when verbose $ mapM_ print solutions
putStrLn $ show (length solutions)
++ (if allowRepeats then " non" else "")
++ " unique solutions for "
++ show low
++ " to "
++ show high
putStrLn ""
main = do
fourRings 1 7 False True
fourRings 3 9 False True
fourRings 0 9 True False |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #360_Assembly | 360 Assembly |
\ 99 bottles of beer on the wall:
: allout "no more bottles" ;
: just-one "1 bottle" ;
: yeah! dup . " bottles" ;
[
' allout ,
' just-one ,
' yeah! ,
] var, bottles
: .bottles dup 2 n:min bottles @ swap caseof ;
: .beer .bottles . " of beer" . ;
: .wall .beer " on the wall" . ;
: .take " Take one down and pass it around" . ;
: beers .wall ", " . .beer '; putc cr
n:1- 0 max .take ", " .
.wall '. putc cr drop ;
' beers 1 99 loop- bye
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program game24.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see task include a file in arm assembly */
/************************************/
/* Constantes */
/************************************/
.include "../constantes.inc"
.equ STDIN, 0 @ Linux input console
.equ READ, 3 @ Linux syscall
.equ NBDIGITS, 4 @ digits number
.equ TOTAL, 24
.equ BUFFERSIZE, 100
.equ STACKSIZE, 10 @ operator and digits number items in stacks
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessRules: .ascii "24 Game\n"
.ascii "The program will display four randomly-generated \n"
.ascii "single-digit numbers and will then prompt you to enter\n"
.ascii "an arithmetic expression followed by <enter> to sum \n"
.ascii "the given numbers to 24.\n"
.asciz "Exemple : 9+8+3+4 or (7+5)+(3*4) \n\n"
szMessExpr: .asciz "Enter your expression (or type (q)uit to exit or (n) for other digits): \n"
//szMessErrChoise: .asciz "invalid choice.\n "
szMessDigits: .asciz "The four digits are @ @ @ @ and the score is 24. \n"
szMessNoDigit: .asciz "Error : One digit is not in digits list !! \n"
szMessSameDigit: .asciz "Error : Two digits are same !! \n"
szMessOK: .asciz "It is OK. \n"
szMessNotOK: .asciz "Error, it is not ok total = @ \n"
szMessErrOper: .asciz "Unknow Operator (+,-,$,/,(,)) \n"
szMessNoparen: .asciz "no opening parenthesis !! \n"
szMessErrParen: .asciz "Error parenthesis number !! \n"
szMessNoalldigits: .asciz "One or more digits not used !!\n"
szMessNewGame: .asciz "New game (y/n) ? \n"
szCarriageReturn: .asciz "\n"
.align 4
iGraine: .int 123456
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
sBuffer: .skip BUFFERSIZE
iTabDigit: .skip 4 * NBDIGITS
iTabTopDigit: .skip 4 * NBDIGITS
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
ldr r0,iAdrszMessRules @ display rules
bl affichageMess
1:
mov r3,#0
ldr r12,iAdriTabDigit
ldr r11,iAdriTabTopDigit
ldr r5,iAdrszMessDigits
2: @ loop generate random digits
mov r0,#8
bl genereraleas
add r0,r0,#1
str r0,[r12,r3,lsl #2] @ store in table
mov r1,#0
str r1,[r11,r3,lsl #2] @ raz top table
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
mov r2,#0
strb r2,[r1,r0] @ reduce size display area with zéro final
mov r0,r5
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
mov r5,r0
add r3,r3,#1
cmp r3,#NBDIGITS @ end ?
blt 2b @ no -> loop
mov r0,r5
bl affichageMess
3: @ loop human entry
ldr r0,iAdrszMessExpr
bl affichageMess
bl saisie @ entry
cmp r0,#'q'
beq 100f
cmp r0,#'Q'
beq 100f
cmp r0,#'n'
beq 1b
cmp r0,#'N'
beq 1b
bl evalExpr @ expression evaluation
cmp r0,#0 @ ok ?
bne 3b @ no - > loop
10: @ display new game ?
ldr r0,iAdrszCarriageReturn
bl affichageMess
ldr r0,iAdrszMessNewGame
bl affichageMess
bl saisie
cmp r0,#'y'
beq 1b
cmp r0,#'Y'
beq 1b
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
iAdrszMessRules: .int szMessRules
iAdrszMessDigits: .int szMessDigits
iAdrszMessExpr: .int szMessExpr
iAdrszMessNewGame: .int szMessNewGame
iAdrsZoneConv: .int sZoneConv
iAdriTabDigit: .int iTabDigit
iAdriTabTopDigit: .int iTabTopDigit
/******************************************************************/
/* evaluation expression */
/******************************************************************/
/* r0 return 0 if ok -1 else */
evalExpr:
push {r1-r11,lr} @ save registers
mov r0,#0
ldr r1,iAdriTabTopDigit
mov r2,#0
1: @ loop init table top digits
str r0,[r1,r2,lsl #2]
add r2,r2,#1
cmp r2,#NBDIGITS
blt 1b
sub sp,sp,#STACKSIZE * 4 @ stack operator
mov fp,sp
sub sp,sp,#STACKSIZE * 4 @ stack digit
mov r1,sp
ldr r10,iAdrsBuffer
mov r8,#0 @ indice character in buffer
mov r7,#0 @ indice digits stack
mov r2,#0 @ indice operator stack
1: @ begin loop
ldrb r9,[r10,r8]
cmp r9,#0xA @ end expression ?
beq 90f
cmp r9,#' ' @ space ?
addeq r8,r8,#1 @ loop
beq 1b
cmp r9,#'(' @ left parenthesis -> store in operator stack
streq r9,[fp,r2,lsl #2]
addeq r2,r2,#1
addeq r8,r8,#1 @ and loop
beq 1b
cmp r9,#')' @ right parenthesis ?
bne 3f
mov r0,fp @ compute operator stack until left parenthesis
sub r2,r2,#1
2:
ldr r6,[fp,r2,lsl #2]
cmp r6,#'(' @ left parenthesis
addeq r8,r8,#1 @ end ?
beq 1b @ and loop
sub r7,r7,#1 @ last digit
mov r3,r7
bl compute
sub r2,r2,#1
cmp r2,#0
bge 2b
ldr r0,iAdrszMessNoparen @ no left parenthesis in stack
bl affichageMess
mov r0,#-1
b 100f
3:
cmp r9,#'+' @ addition
beq 4f
cmp r9,#'-' @ soustraction
beq 4f
cmp r9,#'*' @ multiplication
beq 4f
cmp r9,#'/' @ division
beq 4f
b 5f @ not operator
4: @ control priority and depile stacks
mov r0,fp
mov r3,r7
mov r4,r9
bl depileOper
mov r7,r3
add r8,r8,#1
b 1b @ and loop
5: @ digit
sub r9,r9,#0x30
mov r0,r9
bl digitControl
cmp r0,#0 @ error ?
bne 100f
str r9,[r1,r7,lsl #2] @ store digit in digits stack
add r7,r7,#1
add r8,r8,#1
beq 1b
b 100f
90: @ compute all stack operators
mov r0,fp
sub r7,r7,#1
91:
subs r2,r2,#1
blt 92f
mov r3,r7
bl compute
sub r7,r7,#1
b 91b
92:
ldr r0,[r1] @ total = first value on digits stack
cmp r0,#TOTAL @ control total
beq 93f @ ok
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
mov r2,#0
strb r2,[r1,r0]
ldr r0,iAdrszMessNotOK
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
bl affichageMess
mov r0,#-1
b 100f
93: @ control use all digits
ldr r1,iAdriTabTopDigit
mov r2,#0
94: @ begin loop
ldr r0,[r1,r2,lsl #2] @ load top
cmp r0,#0
bne 95f
ldr r0,iAdrszMessNoalldigits
bl affichageMess
mov r0,#-1
b 100f
95:
add r2,r2,#1
cmp r2,#NBDIGITS
blt 94b
96: @ display message OK
ldr r0,iAdrszMessOK
bl affichageMess
mov r0,#0
b 100f
100:
add sp,sp,#80 @ stack algnement
pop {r1-r11,lr}
bx lr @ return
iAdrszMessNoparen: .int szMessNoparen
iAdrszMessNotOK: .int szMessNotOK
iAdrszMessOK: .int szMessOK
iAdrszMessNoalldigits: .int szMessNoalldigits
/******************************************************************/
/* depile operator */
/******************************************************************/
/* r0 operator stack address */
/* r1 digits stack address */
/* r2 operator indice */
/* r3 digits indice */
/* r4 operator */
/* r2 return a new operator indice */
/* r3 return a new digits indice */
depileOper:
push {r4-r8,lr} @ save registers
cmp r2,#0 @ first operator ?
beq 60f
sub r5,r2,#1
1:
ldr r6,[r0,r5,lsl #2] @ load stack operator
cmp r6,r4 @ same operators
beq 50f
cmp r6,#'*' @ multiplication
beq 50f
cmp r6,#'/' @ division
beq 50f
cmp r6,#'-' @ soustraction
beq 50f
b 60f
50: @ depile operators stack and compute
sub r2,r2,#1
sub r3,r3,#1
bl compute
sub r5,r5,#1
cmp r5,#0
bge 1b
60:
str r4,[r0,r2,lsl #2] @ add operator in stack
add r2,r2,#1
100:
pop {r4-r8,lr}
bx lr @ return
/******************************************************************/
/* compute */
/******************************************************************/
/* r0 operator stack address */
/* r1 digits stack address */
/* r2 operator indice */
/* r3 digits indice */
compute:
push {r1-r8,lr} @ save registers
ldr r6,[r1,r3,lsl #2] @ load second digit
sub r5,r3,#1
ldr r7,[r1,r5,lsl #2] @ load first digit
ldr r8,[r0,r2,lsl #2] @ load operator
cmp r8,#'+'
bne 1f
add r7,r7,r6 @ addition
str r7,[r1,r5,lsl #2]
b 100f
1:
cmp r8,#'-'
bne 2f
sub r7,r7,r6 @ soustaction
str r7,[r1,r5,lsl #2]
b 100f
2:
cmp r8,#'*'
bne 3f @ multiplication
mul r7,r6,r7
str r7,[r1,r5,lsl #2]
b 100f
3:
cmp r8,#'/'
bne 4f
udiv r7,r7,r6 @ division
str r7,[r1,r5,lsl #2]
b 100f
4:
cmp r8,#'(' @ left parenthesis ?
bne 5f
ldr r0,iAdrszMessErrParen @ error
bl affichageMess
mov r0,#-1
b 100f
5:
ldr r0,iAdrszMessErrOper
bl affichageMess
mov r0,#-1
100:
pop {r1-r8,lr}
bx lr @ return
iAdrszMessErrOper: .int szMessErrOper
iAdrszMessErrParen: .int szMessErrParen
/******************************************************************/
/* control digits */
/******************************************************************/
/* r0 return 0 if OK 1 if not digit */
digitControl:
push {r1-r4,lr} @ save registers
ldr r1,iAdriTabTopDigit
ldr r2,iAdriTabDigit
mov r3,#0
1:
ldr r4,[r2,r3,lsl #2] @ load digit
cmp r0,r4 @ equal ?
beq 2f @ yes
add r3,r3,#1 @ no -> loop
cmp r3,#NBDIGITS @ end ?
blt 1b
ldr r0,iAdrszMessNoDigit @ error
bl affichageMess
mov r0,#1
b 100f
2: @ control prev use
ldr r4,[r1,r3,lsl #2]
cmp r4,#0
beq 3f
add r3,r3,#1
cmp r3,#NBDIGITS
blt 1b
ldr r0,iAdrszMessSameDigit
bl affichageMess
mov r0,#1
b 100f
3:
mov r4,#1
str r4,[r1,r3,lsl #2]
mov r0,#0
100:
pop {r1-r4,lr}
bx lr @ return
iAdrszMessNoDigit: .int szMessNoDigit
iAdrszMessSameDigit: .int szMessSameDigit
/******************************************************************/
/* string entry */
/******************************************************************/
/* r0 return the first character of human entry */
saisie:
push {r1-r7,lr} @ save registers
mov r0,#STDIN @ Linux input console
ldr r1,iAdrsBuffer @ buffer address
mov r2,#BUFFERSIZE @ buffer size
mov r7,#READ @ request to read datas
svc 0 @ call system
ldr r1,iAdrsBuffer @ buffer address
ldrb r0,[r1] @ load first character
100:
pop {r1-r7,lr}
bx lr @ return
iAdrsBuffer: .int sBuffer
/***************************************************/
/* Generation random number */
/***************************************************/
/* r0 contains limit */
genereraleas:
push {r1-r4,lr} @ save registers
ldr r4,iAdriGraine
ldr r2,[r4]
ldr r3,iNbDep1
mul r2,r3,r2
ldr r3,iNbDep2
add r2,r2,r3
str r2,[r4] @ maj de la graine pour l appel suivant
cmp r0,#0
beq 100f
add r1,r0,#1 @ divisor
mov r0,r2 @ dividende
bl division
mov r0,r3 @ résult = remainder
100: @ end function
pop {r1-r4,lr} @ restaur registers
bx lr @ return
/*****************************************************/
iAdriGraine: .int iGraine
iNbDep1: .int 0x343FD
iNbDep2: .int 0x269EC3
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Perl | Perl | use ntheory qw/:all/;
sub triangle_row {
my($n,@row) = (shift);
# Tally by first element of the unrestricted integer partitions.
forpart { $row[ $_[0] - 1 ]++ } $n;
@row;
}
printf "%2d: %s\n", $_, join(" ",triangle_row($_)) for 1..25;
print "\n";
say "P($_) = ", partitions($_) for (23, 123, 1234, 12345); |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #AutoIt | AutoIt | ;AutoIt Version: 3.2.10.0
$num = "45 54"
consolewrite ("Sum of " & $num & " is: " & sum($num))
Func sum($numbers)
$numm = StringSplit($numbers," ")
Return $numm[1]+$numm[$numm[0]]
EndFunc |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #Sidef | Sidef | func A(m, n) {
m == 0 ? (n + 1)
: (n == 0 ? (A(m - 1, 1))
: (A(m - 1, A(m, n - 1))));
} |
http://rosettacode.org/wiki/Abbreviations,_automatic | Abbreviations, automatic | The use of abbreviations (also sometimes called synonyms, nicknames, AKAs, or aliases) can be an
easy way to add flexibility when specifying or using commands, sub─commands, options, etc.
It would make a list of words easier to maintain (as words are added, changed, and/or deleted) if
the minimum abbreviation length of that list could be automatically (programmatically) determined.
For this task, use the list (below) of the days-of-the-week names that are expressed in about a hundred languages (note that there is a blank line in the list).
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Sondag Maandag Dinsdag Woensdag Donderdag Vrydag Saterdag
E_djelë E_hënë E_martë E_mërkurë E_enjte E_premte E_shtunë
Ehud Segno Maksegno Erob Hamus Arbe Kedame
Al_Ahad Al_Ithinin Al_Tholatha'a Al_Arbia'a Al_Kamis Al_Gomia'a Al_Sabit
Guiragui Yergou_shapti Yerek_shapti Tchorek_shapti Hink_shapti Ourpat Shapat
domingu llunes martes miércoles xueves vienres sábadu
Bazar_gÜnÜ Birinci_gÜn Çkinci_gÜn ÜçÜncÜ_gÜn DÖrdÜncÜ_gÜn Bes,inci_gÜn Altòncò_gÜn
Igande Astelehen Astearte Asteazken Ostegun Ostiral Larunbat
Robi_bar Shom_bar Mongal_bar Budhh_bar BRihashpati_bar Shukro_bar Shoni_bar
Nedjelja Ponedeljak Utorak Srijeda Cxetvrtak Petak Subota
Disul Dilun Dimeurzh Dimerc'her Diriaou Digwener Disadorn
nedelia ponedelnik vtornik sriada chetvartak petak sabota
sing_kei_yaht sing_kei_yat sing_kei_yee sing_kei_saam sing_kei_sie sing_kei_ng sing_kei_luk
Diumenge Dilluns Dimarts Dimecres Dijous Divendres Dissabte
Dzeenkk-eh Dzeehn_kk-ehreh Dzeehn_kk-ehreh_nah_kay_dzeeneh Tah_neesee_dzeehn_neh Deehn_ghee_dzee-neh Tl-oowey_tts-el_dehlee Dzeentt-ahzee
dy_Sul dy_Lun dy_Meurth dy_Mergher dy_You dy_Gwener dy_Sadorn
Dimanch Lendi Madi Mèkredi Jedi Vandredi Samdi
nedjelja ponedjeljak utorak srijeda cxetvrtak petak subota
nede^le ponde^lí úterÿ str^eda c^tvrtek pátek sobota
Sondee Mondee Tiisiday Walansedee TOOsedee Feraadee Satadee
s0ndag mandag tirsdag onsdag torsdag fredag l0rdag
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
Diman^co Lundo Mardo Merkredo ^Jaùdo Vendredo Sabato
pÜhapäev esmaspäev teisipäev kolmapäev neljapäev reede laupäev
Diu_prima Diu_sequima Diu_tritima Diu_quartima Diu_quintima Diu_sextima Diu_sabbata
sunnudagur mánadagur tÿsdaguy mikudagur hósdagur friggjadagur leygardagur
Yek_Sham'beh Do_Sham'beh Seh_Sham'beh Cha'har_Sham'beh Panj_Sham'beh Jom'eh Sham'beh
sunnuntai maanantai tiistai keskiviiko torsktai perjantai lauantai
dimanche lundi mardi mercredi jeudi vendredi samedi
Snein Moandei Tiisdei Woansdei Tonersdei Freed Sneon
Domingo Segunda_feira Martes Mércores Joves Venres Sábado
k'vira orshabati samshabati otkhshabati khutshabati p'arask'evi shabati
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Samstag
Kiriaki' Defte'ra Tri'ti Teta'rti Pe'mpti Paraskebi' Sa'bato
ravivaar somvaar mangalvaar budhvaar guruvaar shukravaar shanivaar
pópule pó`akahi pó`alua pó`akolu pó`ahá pó`alima pó`aono
Yom_rishon Yom_sheni Yom_shlishi Yom_revi'i Yom_chamishi Yom_shishi Shabat
ravivara somavar mangalavar budhavara brahaspativar shukravara shanivar
vasárnap hétfö kedd szerda csütörtök péntek szombat
Sunnudagur Mánudagur ╞riδjudagur Miδvikudagar Fimmtudagur FÖstudagur Laugardagur
sundio lundio mardio merkurdio jovdio venerdio saturdio
Minggu Senin Selasa Rabu Kamis Jumat Sabtu
Dominica Lunedi Martedi Mercuridi Jovedi Venerdi Sabbato
Dé_Domhnaigh Dé_Luain Dé_Máirt Dé_Ceadaoin Dé_ardaoin Dé_hAoine Dé_Sathairn
domenica lunedí martedí mercoledí giovedí venerdí sabato
Nichiyou_bi Getzuyou_bi Kayou_bi Suiyou_bi Mokuyou_bi Kin'you_bi Doyou_bi
Il-yo-il Wol-yo-il Hwa-yo-il Su-yo-il Mok-yo-il Kum-yo-il To-yo-il
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
sve-tdien pirmdien otrdien tresvdien ceturtdien piektdien sestdien
Sekmadienis Pirmadienis Antradienis Trec^iadienis Ketvirtadienis Penktadienis S^es^tadienis
Wangu Kazooba Walumbe Mukasa Kiwanuka Nnagawonye Wamunyi
xing-_qi-_rì xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
Jedoonee Jelune Jemayrt Jecrean Jardaim Jeheiney Jesam
Jabot Manre Juje Wonje Taije Balaire Jarere
geminrongo minòmishi mártes mièrkoles misheushi bèrnashi mishábaro
Ahad Isnin Selasa Rabu Khamis Jumaat Sabtu
sφndag mandag tirsdag onsdag torsdag fredag lφrdag
lo_dimenge lo_diluns lo_dimarç lo_dimèrcres lo_dijòus lo_divendres lo_dissabte
djadomingo djaluna djamars djarason djaweps djabièrna djasabra
Niedziela Poniedzial/ek Wtorek S,roda Czwartek Pia,tek Sobota
Domingo segunda-feire terça-feire quarta-feire quinta-feire sexta-feira såbado
Domingo Lunes martes Miercoles Jueves Viernes Sabado
Duminicª Luni Mart'i Miercuri Joi Vineri Sâmbªtª
voskresenie ponedelnik vtornik sreda chetverg pyatnitsa subbota
Sunday Di-luain Di-màirt Di-ciadain Di-ardaoin Di-haoine Di-sathurne
nedjelja ponedjeljak utorak sreda cxetvrtak petak subota
Sontaha Mmantaha Labobedi Laboraro Labone Labohlano Moqebelo
Iridha- Sandhudha- Anga.haruwa-dha- Badha-dha- Brahaspa.thindha- Sikura-dha- Sena.sura-dha-
nedel^a pondelok utorok streda s^tvrtok piatok sobota
Nedelja Ponedeljek Torek Sreda Cxetrtek Petek Sobota
domingo lunes martes miércoles jueves viernes sábado
sonde mundey tude-wroko dride-wroko fode-wroko freyda Saturday
Jumapili Jumatatu Jumanne Jumatano Alhamisi Ijumaa Jumamosi
söndag måndag tisdag onsdag torsdag fredag lordag
Linggo Lunes Martes Miyerkoles Huwebes Biyernes Sabado
Lé-pài-jít Pài-it Pài-jï Pài-sañ Pài-sì Pài-gÖ. Pài-lák
wan-ar-tit wan-tjan wan-ang-kaan wan-phoet wan-pha-ru-hat-sa-boh-die wan-sook wan-sao
Tshipi Mosupologo Labobedi Laboraro Labone Labotlhano Matlhatso
Pazar Pazartesi Sali Çar,samba Per,sembe Cuma Cumartesi
nedilya ponedilok vivtorok sereda chetver pyatnytsya subota
Chu?_Nhâ.t Thú*_Hai Thú*_Ba Thú*_Tu* Thú*_Na'm Thú*_Sáu Thú*_Ba?y
dydd_Sul dyds_Llun dydd_Mawrth dyds_Mercher dydd_Iau dydd_Gwener dyds_Sadwrn
Dibeer Altine Talaata Allarba Al_xebes Aljuma Gaaw
iCawa uMvulo uLwesibini uLwesithathu uLuwesine uLwesihlanu uMgqibelo
zuntik montik dinstik mitvokh donershtik fraytik shabes
iSonto uMsombuluko uLwesibili uLwesithathu uLwesine uLwesihlanu uMgqibelo
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
Bazar_gÜnÜ Bazar_ærtæsi Çærs,ænbæ_axs,amò Çærs,ænbæ_gÜnÜ CÜmæ_axs,amò CÜmæ_gÜnÜ CÜmæ_Senbæ
Sun Moon Mars Mercury Jove Venus Saturn
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
KoseEraa GyoOraa BenEraa Kuoraa YOwaaraa FeEraa Memenaa
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Sonnabend
Domingo Luns Terza_feira Corta_feira Xoves Venres Sábado
Dies_Solis Dies_Lunae Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Sabbatum
xing-_qi-_tiàn xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
djadomingu djaluna djamars djarason djaweps djabièrnè djasabra
Killachau Atichau Quoyllurchau Illapachau Chaskachau Kuychichau Intichau
Caveat: The list (above) most surely contains errors (or, at the least, differences) of what the actual (or true) names for the days-of-the-week.
To make this Rosetta Code task page as small as possible, if processing the complete list, read the days-of-the-week from a file (that is created from the above list).
Notes concerning the above list of words
each line has a list of days-of-the-week for a language, separated by at least one blank
the words on each line happen to be in order, from Sunday ──► Saturday
most lines have words in mixed case and some have all manner of accented words and other characters
some words were translated to the nearest character that was available to code page 437
the characters in the words are not restricted except that they may not have imbedded blanks
for this example, the use of an underscore (_) was used to indicate a blank in a word
Task
The list of words (days of the week) needn't be verified/validated.
Write a function to find the (numeric) minimum length abbreviation for each line that would make abbreviations unique.
A blank line (or a null line) should return a null string.
Process and show the output for at least the first five lines of the file.
Show all output here.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Yabasic | Yabasic |
a = open("days_of_week.txt", "r")
while(not eof(#a))
line input #a s$
print buscar(s$), " ", s$
wend
close #a
sub buscar(s$)
local n, d, i, j, s, a$, b$, r$(1)
n = token(s$, r$())
d = 1
repeat
s = true
for i = 1 to n
for j = i + 1 to n
a$ = left$(r$(i), d)
b$ = left$(r$(j), d)
if a$ = "" or b$ = "" s = true : break 2
if a$ = b$ s = false : d = d + 1 : break 2
next
next
until(s)
return d
end sub |
http://rosettacode.org/wiki/Abbreviations,_automatic | Abbreviations, automatic | The use of abbreviations (also sometimes called synonyms, nicknames, AKAs, or aliases) can be an
easy way to add flexibility when specifying or using commands, sub─commands, options, etc.
It would make a list of words easier to maintain (as words are added, changed, and/or deleted) if
the minimum abbreviation length of that list could be automatically (programmatically) determined.
For this task, use the list (below) of the days-of-the-week names that are expressed in about a hundred languages (note that there is a blank line in the list).
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Sondag Maandag Dinsdag Woensdag Donderdag Vrydag Saterdag
E_djelë E_hënë E_martë E_mërkurë E_enjte E_premte E_shtunë
Ehud Segno Maksegno Erob Hamus Arbe Kedame
Al_Ahad Al_Ithinin Al_Tholatha'a Al_Arbia'a Al_Kamis Al_Gomia'a Al_Sabit
Guiragui Yergou_shapti Yerek_shapti Tchorek_shapti Hink_shapti Ourpat Shapat
domingu llunes martes miércoles xueves vienres sábadu
Bazar_gÜnÜ Birinci_gÜn Çkinci_gÜn ÜçÜncÜ_gÜn DÖrdÜncÜ_gÜn Bes,inci_gÜn Altòncò_gÜn
Igande Astelehen Astearte Asteazken Ostegun Ostiral Larunbat
Robi_bar Shom_bar Mongal_bar Budhh_bar BRihashpati_bar Shukro_bar Shoni_bar
Nedjelja Ponedeljak Utorak Srijeda Cxetvrtak Petak Subota
Disul Dilun Dimeurzh Dimerc'her Diriaou Digwener Disadorn
nedelia ponedelnik vtornik sriada chetvartak petak sabota
sing_kei_yaht sing_kei_yat sing_kei_yee sing_kei_saam sing_kei_sie sing_kei_ng sing_kei_luk
Diumenge Dilluns Dimarts Dimecres Dijous Divendres Dissabte
Dzeenkk-eh Dzeehn_kk-ehreh Dzeehn_kk-ehreh_nah_kay_dzeeneh Tah_neesee_dzeehn_neh Deehn_ghee_dzee-neh Tl-oowey_tts-el_dehlee Dzeentt-ahzee
dy_Sul dy_Lun dy_Meurth dy_Mergher dy_You dy_Gwener dy_Sadorn
Dimanch Lendi Madi Mèkredi Jedi Vandredi Samdi
nedjelja ponedjeljak utorak srijeda cxetvrtak petak subota
nede^le ponde^lí úterÿ str^eda c^tvrtek pátek sobota
Sondee Mondee Tiisiday Walansedee TOOsedee Feraadee Satadee
s0ndag mandag tirsdag onsdag torsdag fredag l0rdag
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
Diman^co Lundo Mardo Merkredo ^Jaùdo Vendredo Sabato
pÜhapäev esmaspäev teisipäev kolmapäev neljapäev reede laupäev
Diu_prima Diu_sequima Diu_tritima Diu_quartima Diu_quintima Diu_sextima Diu_sabbata
sunnudagur mánadagur tÿsdaguy mikudagur hósdagur friggjadagur leygardagur
Yek_Sham'beh Do_Sham'beh Seh_Sham'beh Cha'har_Sham'beh Panj_Sham'beh Jom'eh Sham'beh
sunnuntai maanantai tiistai keskiviiko torsktai perjantai lauantai
dimanche lundi mardi mercredi jeudi vendredi samedi
Snein Moandei Tiisdei Woansdei Tonersdei Freed Sneon
Domingo Segunda_feira Martes Mércores Joves Venres Sábado
k'vira orshabati samshabati otkhshabati khutshabati p'arask'evi shabati
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Samstag
Kiriaki' Defte'ra Tri'ti Teta'rti Pe'mpti Paraskebi' Sa'bato
ravivaar somvaar mangalvaar budhvaar guruvaar shukravaar shanivaar
pópule pó`akahi pó`alua pó`akolu pó`ahá pó`alima pó`aono
Yom_rishon Yom_sheni Yom_shlishi Yom_revi'i Yom_chamishi Yom_shishi Shabat
ravivara somavar mangalavar budhavara brahaspativar shukravara shanivar
vasárnap hétfö kedd szerda csütörtök péntek szombat
Sunnudagur Mánudagur ╞riδjudagur Miδvikudagar Fimmtudagur FÖstudagur Laugardagur
sundio lundio mardio merkurdio jovdio venerdio saturdio
Minggu Senin Selasa Rabu Kamis Jumat Sabtu
Dominica Lunedi Martedi Mercuridi Jovedi Venerdi Sabbato
Dé_Domhnaigh Dé_Luain Dé_Máirt Dé_Ceadaoin Dé_ardaoin Dé_hAoine Dé_Sathairn
domenica lunedí martedí mercoledí giovedí venerdí sabato
Nichiyou_bi Getzuyou_bi Kayou_bi Suiyou_bi Mokuyou_bi Kin'you_bi Doyou_bi
Il-yo-il Wol-yo-il Hwa-yo-il Su-yo-il Mok-yo-il Kum-yo-il To-yo-il
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
sve-tdien pirmdien otrdien tresvdien ceturtdien piektdien sestdien
Sekmadienis Pirmadienis Antradienis Trec^iadienis Ketvirtadienis Penktadienis S^es^tadienis
Wangu Kazooba Walumbe Mukasa Kiwanuka Nnagawonye Wamunyi
xing-_qi-_rì xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
Jedoonee Jelune Jemayrt Jecrean Jardaim Jeheiney Jesam
Jabot Manre Juje Wonje Taije Balaire Jarere
geminrongo minòmishi mártes mièrkoles misheushi bèrnashi mishábaro
Ahad Isnin Selasa Rabu Khamis Jumaat Sabtu
sφndag mandag tirsdag onsdag torsdag fredag lφrdag
lo_dimenge lo_diluns lo_dimarç lo_dimèrcres lo_dijòus lo_divendres lo_dissabte
djadomingo djaluna djamars djarason djaweps djabièrna djasabra
Niedziela Poniedzial/ek Wtorek S,roda Czwartek Pia,tek Sobota
Domingo segunda-feire terça-feire quarta-feire quinta-feire sexta-feira såbado
Domingo Lunes martes Miercoles Jueves Viernes Sabado
Duminicª Luni Mart'i Miercuri Joi Vineri Sâmbªtª
voskresenie ponedelnik vtornik sreda chetverg pyatnitsa subbota
Sunday Di-luain Di-màirt Di-ciadain Di-ardaoin Di-haoine Di-sathurne
nedjelja ponedjeljak utorak sreda cxetvrtak petak subota
Sontaha Mmantaha Labobedi Laboraro Labone Labohlano Moqebelo
Iridha- Sandhudha- Anga.haruwa-dha- Badha-dha- Brahaspa.thindha- Sikura-dha- Sena.sura-dha-
nedel^a pondelok utorok streda s^tvrtok piatok sobota
Nedelja Ponedeljek Torek Sreda Cxetrtek Petek Sobota
domingo lunes martes miércoles jueves viernes sábado
sonde mundey tude-wroko dride-wroko fode-wroko freyda Saturday
Jumapili Jumatatu Jumanne Jumatano Alhamisi Ijumaa Jumamosi
söndag måndag tisdag onsdag torsdag fredag lordag
Linggo Lunes Martes Miyerkoles Huwebes Biyernes Sabado
Lé-pài-jít Pài-it Pài-jï Pài-sañ Pài-sì Pài-gÖ. Pài-lák
wan-ar-tit wan-tjan wan-ang-kaan wan-phoet wan-pha-ru-hat-sa-boh-die wan-sook wan-sao
Tshipi Mosupologo Labobedi Laboraro Labone Labotlhano Matlhatso
Pazar Pazartesi Sali Çar,samba Per,sembe Cuma Cumartesi
nedilya ponedilok vivtorok sereda chetver pyatnytsya subota
Chu?_Nhâ.t Thú*_Hai Thú*_Ba Thú*_Tu* Thú*_Na'm Thú*_Sáu Thú*_Ba?y
dydd_Sul dyds_Llun dydd_Mawrth dyds_Mercher dydd_Iau dydd_Gwener dyds_Sadwrn
Dibeer Altine Talaata Allarba Al_xebes Aljuma Gaaw
iCawa uMvulo uLwesibini uLwesithathu uLuwesine uLwesihlanu uMgqibelo
zuntik montik dinstik mitvokh donershtik fraytik shabes
iSonto uMsombuluko uLwesibili uLwesithathu uLwesine uLwesihlanu uMgqibelo
Dies_Dominica Dies_Lunæ Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Saturni
Bazar_gÜnÜ Bazar_ærtæsi Çærs,ænbæ_axs,amò Çærs,ænbæ_gÜnÜ CÜmæ_axs,amò CÜmæ_gÜnÜ CÜmæ_Senbæ
Sun Moon Mars Mercury Jove Venus Saturn
zondag maandag dinsdag woensdag donderdag vrijdag zaterdag
KoseEraa GyoOraa BenEraa Kuoraa YOwaaraa FeEraa Memenaa
Sonntag Montag Dienstag Mittwoch Donnerstag Freitag Sonnabend
Domingo Luns Terza_feira Corta_feira Xoves Venres Sábado
Dies_Solis Dies_Lunae Dies_Martis Dies_Mercurii Dies_Iovis Dies_Veneris Dies_Sabbatum
xing-_qi-_tiàn xing-_qi-_yi-. xing-_qi-_èr xing-_qi-_san-. xing-_qi-_sì xing-_qi-_wuv. xing-_qi-_liù
djadomingu djaluna djamars djarason djaweps djabièrnè djasabra
Killachau Atichau Quoyllurchau Illapachau Chaskachau Kuychichau Intichau
Caveat: The list (above) most surely contains errors (or, at the least, differences) of what the actual (or true) names for the days-of-the-week.
To make this Rosetta Code task page as small as possible, if processing the complete list, read the days-of-the-week from a file (that is created from the above list).
Notes concerning the above list of words
each line has a list of days-of-the-week for a language, separated by at least one blank
the words on each line happen to be in order, from Sunday ──► Saturday
most lines have words in mixed case and some have all manner of accented words and other characters
some words were translated to the nearest character that was available to code page 437
the characters in the words are not restricted except that they may not have imbedded blanks
for this example, the use of an underscore (_) was used to indicate a blank in a word
Task
The list of words (days of the week) needn't be verified/validated.
Write a function to find the (numeric) minimum length abbreviation for each line that would make abbreviations unique.
A blank line (or a null line) should return a null string.
Process and show the output for at least the first five lines of the file.
Show all output here.
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #zkl | zkl | nds:=File("daysOfWeek.txt").read().howza(11) // stripped lines
.pump(List,Void.Filter,fcn(day){
d,N,m := day.split(),d.len(),(0).max(d.apply("len")); // N==7
foreach n in ([1..m]){
ds:=d.apply("get",0,n); // ("Su","Mo","Tu","We","Th","Fr","Sa")
foreach a,b in (N,[a+1..N-1]){ if(ds[a]==ds[b]) continue(3); } # Th==Fr?
return(n,day); // part way though the words and found unique
}
return(m,day); // no match nowhere
});
foreach n,s in (nds){ println("%3d %s".fmt(n,s)); } |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Comal | Comal | 0010 FUNC can'make'word#(word$) CLOSED
0020 blocks$:=" BOXKDQCPNAGTRETGQDFSJWHUVIANOBERFSLYPCZM"
0030 FOR i#:=1 TO LEN(word$) DO
0040 pos#:=UPPER$(word$(i#)) IN blocks$
0050 IF NOT pos# THEN RETURN FALSE
0060 blocks$(pos#):="";blocks$(pos# BITXOR 1):=""
0070 ENDFOR i#
0080 RETURN TRUE
0090 ENDFUNC
0100 //
0110 DIM yesno$(0:1) OF 3
0120 yesno$(FALSE):="no";yesno$(TRUE):="yes"
0130 WHILE NOT EOD DO
0140 READ w$
0150 PRINT w$,": ",yesno$(can'make'word#(w$))
0160 ENDWHILE
0170 END
0180 //
0190 DATA "A","BARK","BOOK","treat","common","squad","CoNfUsE" |
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #11l | 11l | F play_random(n)
V pardoned = 0
V in_drawer = Array(0.<100)
V sampler = Array(0.<100)
L 0 .< n
random:shuffle(&in_drawer)
V found = 0B
L(prisoner) 100
found = 0B
L(reveal) random:sample(sampler, 50)
V card = in_drawer[reveal]
I card == prisoner
found = 1B
L.break
I !found
L.break
I found
pardoned++
R Float(pardoned) / n * 100
F play_optimal(n)
V pardoned = 0
V in_drawer = Array(0.<100)
L 0 .< n
random:shuffle(&in_drawer)
V found = 0B
L(prisoner) 100
V reveal = prisoner
found = 0B
L 50
V card = in_drawer[reveal]
I card == prisoner
found = 1B
L.break
reveal = card
I !found
L.break
I found
pardoned++
R Float(pardoned) / n * 100
V n = 100'000
print(‘ Simulation count: ’n)
print(‘ Random play wins: #2.1% of simulations’.format(play_random(n)))
print(‘Optimal play wins: #2.1% of simulations’.format(play_optimal(n))) |
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Phix | Phix | function abundantOdd(integer n, done, lim, bool printAll)
while done<lim do
atom tot = sum(factors(n,-1))
if tot>n then
done += 1
if printAll or done=lim then
string ln = iff(printAll?sprintf("%2d. ",done):"")
printf(1,"%s%,6d (proper sum:%,d)\n",{ln,n,tot})
end if
end if
n += 2
end while
printf(1,"\n")
return n
end function
printf(1,"The first 25 abundant odd numbers are:\n")
integer n = abundantOdd(1, 0, 25, true)
printf(1,"The one thousandth abundant odd number is:")
{} = abundantOdd(n, 25, 1000, false)
printf(1,"The first abundant odd number above one billion is:")
{} = abundantOdd(1e9+1, 0, 1, false)
|
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #FreeBASIC | FreeBASIC | #define PLAYER 1
#define COMP 0
randomize timer
dim as uinteger sum, add = 0
dim as uinteger turn = int(rnd+0.5)
dim as uinteger precomp(0 to 3) = { 1, 1, 3, 2 }
while sum < 21:
turn = 1 - turn
print using "The sum is ##"; sum
if turn = PLAYER then
print "It is your turn."
while add < 1 orelse add > 3 orelse add+sum > 21
input "How many would you like to add? ", add
wend
else
print "It is the computer's turn."
add = precomp(sum mod 4)
print using "The computer adds #."; add
end if
print
sum = sum + add
add = 0
wend
if turn = PLAYER then
print "Congratulations. You win."
else
print "Bad luck. The computer wins."
end if |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #BBC_BASIC | BBC BASIC |
PROCsolve24("1234")
PROCsolve24("6789")
PROCsolve24("1127")
PROCsolve24("5566")
END
DEF PROCsolve24(s$)
LOCAL F%, I%, J%, K%, L%, P%, T%, X$, o$(), p$(), t$()
DIM o$(4), p$(24,4), t$(11)
o$() = "", "+", "-", "*", "/"
RESTORE
FOR T% = 1 TO 11
READ t$(T%)
NEXT
DATA "abcdefg", "(abc)defg", "ab(cde)fg", "abcd(efg)", "(abc)d(efg)", "(abcde)fg"
DATA "ab(cdefg)", "((abc)de)fg", "(ab(cde))fg", "ab((cde)fg)", "ab(cd(efg))"
FOR I% = 1 TO 4
FOR J% = 1 TO 4
FOR K% = 1 TO 4
FOR L% = 1 TO 4
IF I%<>J% IF J%<>K% IF K%<>L% IF I%<>K% IF J%<>L% IF I%<>L% THEN
P% += 1
p$(P%,1) = MID$(s$,I%,1)
p$(P%,2) = MID$(s$,J%,1)
p$(P%,3) = MID$(s$,K%,1)
p$(P%,4) = MID$(s$,L%,1)
ENDIF
NEXT
NEXT
NEXT
NEXT
FOR I% = 1 TO 4
FOR J% = 1 TO 4
FOR K% = 1 TO 4
FOR T% = 1 TO 11
FOR P% = 1 TO 24
X$ = t$(T%)
MID$(X$, INSTR(X$,"a"), 1) = p$(P%,1)
MID$(X$, INSTR(X$,"b"), 1) = o$(I%)
MID$(X$, INSTR(X$,"c"), 1) = p$(P%,2)
MID$(X$, INSTR(X$,"d"), 1) = o$(J%)
MID$(X$, INSTR(X$,"e"), 1) = p$(P%,3)
MID$(X$, INSTR(X$,"f"), 1) = o$(K%)
MID$(X$, INSTR(X$,"g"), 1) = p$(P%,4)
F% = TRUE : ON ERROR LOCAL F% = FALSE
IF F% IF EVAL(X$) = 24 THEN PRINT X$ : EXIT FOR I%
RESTORE ERROR
NEXT
NEXT
NEXT
NEXT
NEXT
IF I% > 4 PRINT "No solution found"
ENDPROC
|
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #J | J | fspuz=:dyad define
range=: x+i.1+y-x
lo=. 6+3*x
hi=. _3+2*y
r=.i.0 0
if. lo <: hi do.
for_T.lo ([+[:i.1+-~) hi do.
range2=: (#~ (T-{.range)>:]) range
range3=: (#~ (T-+/2{.range)>:]) range
ab=: (#~ ~:/"1) (,.T-])range2
abc=: ;ab <@([ ,"1 0 -.~)"1/range3
abcd=: (#~ T = +/@}."1) ;abc <@([ ,"1 0 -.~)"1/range3
abcde=: ;abcd <@([ ,"1 0 -.~)"1/range3
abcdef=: (#~ T = +/@(3}.])"1) ;abcde <@([ ,"1 0 -.~)"1/range3
abcdefg=: (#~ T = +/@(5}.])"1) ;abcdef <@([ ,"1 0 -.~)"1/range2
r=.r,(#~ x<:<./"1)(#~ y>:>./"1)abcdefg
end.
end.
) |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #6502_Assembly | 6502 Assembly |
\ 99 bottles of beer on the wall:
: allout "no more bottles" ;
: just-one "1 bottle" ;
: yeah! dup . " bottles" ;
[
' allout ,
' just-one ,
' yeah! ,
] var, bottles
: .bottles dup 2 n:min bottles @ swap caseof ;
: .beer .bottles . " of beer" . ;
: .wall .beer " on the wall" . ;
: .take " Take one down and pass it around" . ;
: beers .wall ", " . .beer '; putc cr
n:1- 0 max .take ", " .
.wall '. putc cr drop ;
' beers 1 99 loop- bye
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #Arturo | Arturo | print "-----------------------------"
print " Welcome to 24 Game"
print "-----------------------------"
digs: map 1..4 'x -> random 1 9
print ["The numbers you can use are:" join.with:" " digs]
print ""
validExpression?: function [expr][
loop expr 'item [
if or? inline? item block? item [
if not? validExpression? item -> return false
]
if symbol? item [
if not? contains? [+ / - *] item -> return false
]
if integer? item [
if not? contains? digs item -> return false
]
]
return true
]
result: 0
while [result<>24][
got: input "Enter an expression to form 24: "
blo: to :block got
if? validExpression? blo [
result: do blo
print ["The result is:" result]
]
else [
print "Invalid expression. Please try again!"
]
print ""
]
print "Well done!" |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Phix | Phix | -- demo\rosetta\9billionnames.exw
with javascript_semantics
sequence cache = {{1}}
function cumu(integer n)
sequence r
for l=length(cache) to n do
r = {0}
for x=1 to l do
r = append(r,r[-1]+cache[l-x+1][min(x,l-x)+1])
end for
cache = append(cache,r)
end for
return cache[n]
end function
function row(integer n)
sequence r = cumu(n+1)
sequence res = repeat(0,n)
for i=1 to n do
res[i] = r[i+1]-r[i]
end for
return res
end function
for i=1 to 25 do
puts(1,repeat(' ',50-2*i))
sequence r = row(i)
for j=1 to i do
printf(1,"%4d",r[j])
end for
puts(1,"\n")
end for
|
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #AWK | AWK | {print $1 + $2} |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #Simula | Simula | BEGIN
INTEGER procedure
Ackermann(g, p); SHORT INTEGER g, p;
Ackermann:= IF g = 0 THEN p+1
ELSE Ackermann(g-1, IF p = 0 THEN 1
ELSE Ackermann(g, p-1));
INTEGER g, p;
FOR p := 0 STEP 3 UNTIL 13 DO BEGIN
g := 4 - p/3;
outtext("Ackermann("); outint(g, 0);
outchar(','); outint(p, 2); outtext(") = ");
outint(Ackermann(g, p), 0); outimage
END
END |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Common_Lisp | Common Lisp |
(defun word-possible-p (word blocks)
(cond
((= (length word) 0) t)
((null blocks) nil)
(t (let*
((c (aref word 0))
(bs (remove-if-not #'(lambda (b)
(find c b :test #'char-equal))
blocks)))
(some #'identity
(loop for b in bs
collect (word-possible-p
(subseq word 1)
(remove b blocks)))))))) |
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program prisonniex64.s */
/*******************************************/
/* Constantes file */
/*******************************************/
/* for this file see task include a file in language AArch64 assembly*/
.include "../includeConstantesARM64.inc"
.equ NBDOORS, 100
.equ NBLOOP, 1000
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessResult: .asciz "Random strategie : @ sur 1000 \n"
sMessResultOPT: .asciz "Optimal strategie : @ sur 1000 \n"
szCarriageReturn: .asciz "\n"
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
tbDoors: .skip 8 * NBDOORS
tbTest: .skip 8 * NBDOORS
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
ldr x1,qAdrtbDoors
mov x2,#0
1: // loop init doors table
add x3,x2,#1
str x3,[x1,x2,lsl #3]
add x2,x2,#1
cmp x2,#NBDOORS
blt 1b
mov x9,#0 // loop counter
mov x10,#0 // counter successes random strategie
mov x11,#0 // counter successes optimal strategie
2:
ldr x0,qAdrtbDoors
mov x1,#NBDOORS
bl knuthShuffle
ldr x0,qAdrtbDoors
bl aleaStrategie
cmp x0,#NBDOORS
cinc x10,x10,eq
ldr x0,qAdrtbDoors
bl optimaStrategie
cmp x0,#NBDOORS
cinc x11,x11,eq
add x9,x9,#1
cmp x9,#NBLOOP
blt 2b
mov x0,x10 // result display
ldr x1,qAdrsZoneConv
bl conversion10 // call decimal conversion
ldr x0,qAdrsMessResult
ldr x1,qAdrsZoneConv // insert conversion in message
bl strInsertAtCharInc
bl affichageMess
mov x0,x11 // result display
ldr x1,qAdrsZoneConv
bl conversion10 // call decimal conversion
ldr x0,qAdrsMessResultOPT
ldr x1,qAdrsZoneConv // insert conversion in message
bl strInsertAtCharInc
bl affichageMess
100: // standard end of the program
mov x0,0 // return code
mov x8,EXIT // request to exit program
svc 0 // perform the system call
qAdrszCarriageReturn: .quad szCarriageReturn
qAdrsMessResult: .quad sMessResult
qAdrsMessResultOPT: .quad sMessResultOPT
qAdrtbDoors: .quad tbDoors
qAdrtbTest: .quad tbTest
qAdrsZoneConv: .quad sZoneConv
/******************************************************************/
/* random door test strategy */
/******************************************************************/
/* x0 contains the address of table */
aleaStrategie:
stp x1,lr,[sp,-16]! // save registres
stp x2,x3,[sp,-16]! // save registres
stp x4,x5,[sp,-16]! // save registres
stp x6,x7,[sp,-16]! // save registres
stp x8,x9,[sp,-16]! // save registres
ldr x6,qAdrtbTest // table doors tests address
mov x8,x0 // save table doors address
mov x4,#0 // counter number of successes
mov x2,#0 // prisonners indice
1:
bl razTable // zero to table doors tests
mov x5,#0 // counter of door tests
add x7,x2,#1
2:
mov x0,#1
mov x1,#NBDOORS
bl extRandom // random test
ldr x3,[x6,x0,lsl #3] // doors also tested ?
cmp x3,#0
bne 2b // yes
ldr x3,[x8,x0,lsl #3] // load N° door
cmp x3,x7 // compar N° door N° prisonner
cinc x4,x4,eq
beq 3f
mov x3,#1 // top test table item
str x3,[x6,x0,lsl #3]
add x5,x5,#1
cmp x5,#NBDOORS / 2 // number tests maxi ?
blt 2b // no -> loop
3:
add x2,x2,#1 // other prisonner
cmp x2,#NBDOORS
blt 1b
mov x0,x4 // return number of successes
100:
ldp x8,x9,[sp],16 // restaur des 2 registres
ldp x6,x7,[sp],16 // restaur des 2 registres
ldp x4,x5,[sp],16 // restaur des 2 registres
ldp x2,x3,[sp],16 // restaur des 2 registres
ldp x1,lr,[sp],16 // restaur des 2 registres
ret
/******************************************************************/
/* raz test table */
/******************************************************************/
razTable:
stp x0,lr,[sp,-16]! // save registres
stp x1,x2,[sp,-16]! // save registres
ldr x0,qAdrtbTest
mov x1,#0 // item indice
mov x2,#0
1:
str x2,[x0,x1,lsl #3] // store zero à item
add x1,x1,#1
cmp x1,#NBDOORS
blt 1b
100:
ldp x1,x2,[sp],16 // restaur des 2 registres
ldp x0,lr,[sp],16 // restaur des 2 registres
ret
/******************************************************************/
/* random door test strategy */
/******************************************************************/
/* x0 contains the address of table */
optimaStrategie:
stp x1,lr,[sp,-16]! // save registres
stp x2,x3,[sp,-16]! // save registres
stp x4,x5,[sp,-16]! // save registres
mov x4,#0 // counter number of successes
mov x2,#0 // counter prisonner
1:
mov x5,#0 // counter test
mov x1,x2 // first test = N° prisonner
2:
ldr x3,[x0,x1,lsl #3] // load N° door
cmp x3,x2
cinc x4,x4,eq // equal -> succes
beq 3f
mov x1,x3 // new test with N° door
add x5,x5,#1
cmp x5,#NBDOORS / 2 // test number maxi ?
blt 2b
3:
add x2,x2,#1 // other prisonner
cmp x2,#NBDOORS
blt 1b
mov x0,x4
100:
ldp x4,x5,[sp],16 // restaur des 2 registres
ldp x2,x3,[sp],16 // restaur des 2 registres
ldp x1,lr,[sp],16 // restaur des 2 registres
ret
/******************************************************************/
/* knuth Shuffle */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the number of elements */
knuthShuffle:
stp x1,lr,[sp,-16]! // save registres
stp x2,x3,[sp,-16]! // save registres
stp x4,x5,[sp,-16]! // save registres
stp x6,x7,[sp,-16]! // save registers
mov x5,x0 // save table address
mov x6,x1 // save number of elements
mov x2,0 // start index
1:
mov x0,0
mov x1,x2 // generate aleas
bl extRandom
ldr x3,[x5,x2,lsl #3] // swap number on the table
ldr x4,[x5,x0,lsl #3]
str x4,[x5,x2,lsl #3]
str x3,[x5,x0,lsl #3]
add x2,x2,#1 // next number
cmp x2,x6 // end ?
blt 1b // no -> loop
100:
ldp x6,x7,[sp],16 // restaur des 2 registres
ldp x4,x5,[sp],16 // restaur des 2 registres
ldp x2,x3,[sp],16 // restaur des 2 registres
ldp x1,lr,[sp],16 // restaur des 2 registres
ret
/******************************************************************/
/* random number */
/******************************************************************/
/* x0 contains inferior value */
/* x1 contains maxi value */
/* x0 return random number */
extRandom:
stp x1,lr,[sp,-16]! // save registers
stp x2,x8,[sp,-16]! // save registers
stp x3,x4,[sp,-16]! // save registers
stp x19,x20,[sp,-16]! // save registers
sub sp,sp,16 // reserve 16 octets on stack
mov x19,x0
add x20,x1,1
mov x0,sp // store result on stack
mov x1,8 // length 8 bytes
mov x2,0
mov x8,278 // call system Linux 64 bits Urandom
svc 0
mov x0,sp // load résult on stack
ldr x0,[x0]
sub x2,x20,x19 // calculation of the range of values
udiv x1,x0,x2 // calculation range modulo
msub x0,x1,x2,x0
add x0,x0,x19 // and add inferior value
100:
add sp,sp,16 // alignement stack
ldp x19,x20,[sp],16 // restaur 2 registers
ldp x3,x4,[sp],16 // restaur 2 registers
ldp x2,x8,[sp],16 // restaur 2 registers
ldp x1,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
|
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #PicoLisp | PicoLisp | (de accud (Var Key)
(if (assoc Key (val Var))
(con @ (inc (cdr @)))
(push Var (cons Key 1)) )
Key )
(de **sum (L)
(let S 1
(for I (cdr L)
(inc 'S (** (car L) I)) )
S ) )
(de factor-sum (N)
(if (=1 N)
0
(let
(R NIL
D 2
L (1 2 2 . (4 2 4 2 4 6 2 6 .))
M (sqrt N)
N1 N
S 1 )
(while (>= M D)
(if (=0 (% N1 D))
(setq M
(sqrt (setq N1 (/ N1 (accud 'R D)))) )
(inc 'D (pop 'L)) ) )
(accud 'R N1)
(for I R
(setq S (* S (**sum I))) )
(- S N) ) ) )
(de factor-list NIL
(let (N 1 C 0)
(make
(loop
(when (> (setq @@ (factor-sum N)) N)
(link (cons N @@))
(inc 'C) )
(inc 'N 2)
(T (= C 1000)) ) ) ) )
(let L (factor-list)
(for N 25
(println N (++ L)) )
(println 1000 (last L))
(println
'****
1000000575
(factor-sum 1000000575) ) ) |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #Gambas | Gambas |
' Gambas module file
Private gameConunt As Integer = 0
Private numRound As Integer = 1
Private winPlayer As Integer = 0
Private winComputer As Integer = 0
Public Sub Main()
Dim entra As String
Print "Enter q to quit at any time\nThe computer will choose first"
While gameConunt < 21
Print "ROUND: " & numRound & "\n"
gameConunt += selectCount(gameConunt)
Print Subst("Running total is now &1 \n ", gameConunt)
If gameConunt = 21 Then
Inc winComputer
Print "The computer has won !\n"
endGame()
Endif
gameConunt += humanCount(gameConunt)
Print Subst("Running total is now &1", gameConunt)
If gameConunt = 21 Then
Inc winPlayer
Print "Congratulations! You've won!\n"
endGame()
Endif
Inc numRound
Wend
End
Private Function selectCount(cou As Integer) As Integer
Dim a As Integer
Randomize
If cou < 18 Then
a = Int(Rnd(1, 4))
Else
a = 21 - cou
Endif
Print "The computer choose " & a
Return a
End
Private Function humanCount(cou As Integer) As Integer
Dim entra As String
Dim a As Integer
While True
Print "Your choice 1 to 3"
Input entra
If entra = "q" Then
Print "Good Bye!"
Quit
Endif
Try a = CInt(entra)
If Error Then
Print "Invalid entry, try again"
Continue
Endif
If a < 1 Or a > 3 Then
Print "Out of range, try again"
Continue
Endif
If a + cou > 21 Then
Print "The sum is greater than 21, try again"
Continue
Endif
Return a
Wend
End
Private Sub endGame()
Dim entra As String
Print Subst("Computer wins &1 games, human wins &2 games", winComputer, winPlayer)
Print "\nPlay again? (y/n)"
Input entra
If entra = "y" Or entra = "Y" Then
numRound = 1
gameConunt = 0
Print "Enter q to quit at any time\nThe computer will choose first"
Else
Print "Good Bye!"
Quit
Endif
End |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #C | C | #include <stdio.h>
typedef struct {int val, op, left, right;} Node;
Node nodes[10000];
int iNodes;
int b;
float eval(Node x){
if (x.op != -1){
float l = eval(nodes[x.left]), r = eval(nodes[x.right]);
switch(x.op){
case 0: return l+r;
case 1: return l-r;
case 2: return r-l;
case 3: return l*r;
case 4: return r?l/r:(b=1,0);
case 5: return l?r/l:(b=1,0);
}
}
else return x.val*1.;
}
void show(Node x){
if (x.op != -1){
printf("(");
switch(x.op){
case 0: show(nodes[x.left]); printf(" + "); show(nodes[x.right]); break;
case 1: show(nodes[x.left]); printf(" - "); show(nodes[x.right]); break;
case 2: show(nodes[x.right]); printf(" - "); show(nodes[x.left]); break;
case 3: show(nodes[x.left]); printf(" * "); show(nodes[x.right]); break;
case 4: show(nodes[x.left]); printf(" / "); show(nodes[x.right]); break;
case 5: show(nodes[x.right]); printf(" / "); show(nodes[x.left]); break;
}
printf(")");
}
else printf("%d", x.val);
}
int float_fix(float x){ return x < 0.00001 && x > -0.00001; }
void solutions(int a[], int n, float t, int s){
if (s == n){
b = 0;
float e = eval(nodes[0]);
if (!b && float_fix(e-t)){
show(nodes[0]);
printf("\n");
}
}
else{
nodes[iNodes++] = (typeof(Node)){a[s],-1,-1,-1};
for (int op = 0; op < 6; op++){
int k = iNodes-1;
for (int i = 0; i < k; i++){
nodes[iNodes++] = nodes[i];
nodes[i] = (typeof(Node)){-1,op,iNodes-1,iNodes-2};
solutions(a, n, t, s+1);
nodes[i] = nodes[--iNodes];
}
}
iNodes--;
}
};
int main(){
// define problem
int a[4] = {8, 3, 8, 3};
float t = 24;
// print all solutions
nodes[0] = (typeof(Node)){a[0],-1,-1,-1};
iNodes = 1;
solutions(a, sizeof(a)/sizeof(int), t, 1);
return 0;
} |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Java | Java | import java.util.Arrays;
public class FourSquares {
public static void main(String[] args) {
fourSquare(1, 7, true, true);
fourSquare(3, 9, true, true);
fourSquare(0, 9, false, false);
}
private static void fourSquare(int low, int high, boolean unique, boolean print) {
int count = 0;
if (print) {
System.out.println("a b c d e f g");
}
for (int a = low; a <= high; ++a) {
for (int b = low; b <= high; ++b) {
if (notValid(unique, a, b)) continue;
int fp = a + b;
for (int c = low; c <= high; ++c) {
if (notValid(unique, c, a, b)) continue;
for (int d = low; d <= high; ++d) {
if (notValid(unique, d, a, b, c)) continue;
if (fp != b + c + d) continue;
for (int e = low; e <= high; ++e) {
if (notValid(unique, e, a, b, c, d)) continue;
for (int f = low; f <= high; ++f) {
if (notValid(unique, f, a, b, c, d, e)) continue;
if (fp != d + e + f) continue;
for (int g = low; g <= high; ++g) {
if (notValid(unique, g, a, b, c, d, e, f)) continue;
if (fp != f + g) continue;
++count;
if (print) {
System.out.printf("%d %d %d %d %d %d %d%n", a, b, c, d, e, f, g);
}
}
}
}
}
}
}
}
if (unique) {
System.out.printf("There are %d unique solutions in [%d, %d]%n", count, low, high);
} else {
System.out.printf("There are %d non-unique solutions in [%d, %d]%n", count, low, high);
}
}
private static boolean notValid(boolean unique, int needle, int... haystack) {
return unique && Arrays.stream(haystack).anyMatch(p -> p == needle);
}
} |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #6800_Assembly | 6800 Assembly |
\ 99 bottles of beer on the wall:
: allout "no more bottles" ;
: just-one "1 bottle" ;
: yeah! dup . " bottles" ;
[
' allout ,
' just-one ,
' yeah! ,
] var, bottles
: .bottles dup 2 n:min bottles @ swap caseof ;
: .beer .bottles . " of beer" . ;
: .wall .beer " on the wall" . ;
: .take " Take one down and pass it around" . ;
: beers .wall ", " . .beer '; putc cr
n:1- 0 max .take ", " .
.wall '. putc cr drop ;
' beers 1 99 loop- bye
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #AutoHotkey | AutoHotkey | AutoExecute:
Title := "24 Game"
Gui, -MinimizeBox
Gui, Add, Text, w230 vPuzzle
Gui, Add, Edit, wp vAnswer
Gui, Add, Button, w70, &Generate
Gui, Add, Button, x+10 wp Default, &Submit
Gui, Add, Button, x+10 wp, E&xit
ButtonGenerate: ; new set of numbers
Loop, 4
Random, r%A_Index%, 1, 9
Puzzle = %r1%, %r2%, %r3%, and %r4%
GuiControl,, Puzzle, The numbers are: %Puzzle% - Good luck!
GuiControl,, Answer ; empty the edit box
ControlFocus, Edit1
Gui, -Disabled
Gui, Show,, %Title%
Return ; end of auto execute section
ButtonSubmit: ; check solution
Gui, Submit, NoHide
Gui, +Disabled
; check numbers used
RegExMatch(Answer, "(\d)\D+(\d)\D+(\d)\D+(\d)", $)
ListPuzzle := r1 "," r2 "," r3 "," r4
ListAnswer := $1 "," $2 "," $3 "," $4
Sort, ListPuzzle, D,
Sort, ListAnswer, D,
If Not ListPuzzle = ListAnswer {
MsgBox, 48, Error - %Title%, Numbers used!`n%Answer%
Goto, TryAgain
}
; check operators used
StringReplace, $, $, +,, All
StringReplace, $, $, -,, All
StringReplace, $, $, *,, All
StringReplace, $, $, /,, All
StringReplace, $, $, (,, All
StringReplace, $, $, ),, All
Loop, 9
StringReplace, $, $, %A_Index%,, All
If StrLen($) > 0
Or InStr(Answer, "**")
Or InStr(Answer, "//")
Or InStr(Answer, "++")
Or InStr(Answer, "--") {
MsgBox, 48, Error - %Title%, Operators used!`n%Answer%
Goto, TryAgain
}
; check result
Result := Eval(Answer)
If Not Result = 24 {
MsgBox, 48, Error - %Title%, Result incorrect!`n%Result%
Goto, TryAgain
}
; if we are sill here
MsgBox, 4, %Title%, Correct solution! Play again?
IfMsgBox, Yes
Gosub, ButtonGenerate
Else
ExitApp
Return
TryAgain: ; alternative ending of routine ButtonSubmit
ControlFocus, Edit1
Gui, -Disabled
Gui, Show
Return
GuiClose:
GuiEscape:
ButtonExit:
ExitApp
Return
;---------------------------------------------------------------------------
Eval(Expr) { ; evaluate expression using separate AHK process
;---------------------------------------------------------------------------
; credit for this function goes to AutoHotkey forum member Laszlo
; http://www.autohotkey.com/forum/topic9578.html
;-----------------------------------------------------------------------
static File := "24$Temp.ahk"
; delete old temporary file, and write new
FileDelete, %File%
FileContent := "#NoTrayIcon`r`n"
. "FileDelete, " File "`r`n"
. "FileAppend, `% " Expr ", " File "`r`n"
FileAppend, %FileContent%, %File%
; run AHK to execute temp script, evaluate expression
RunWait, %A_AhkPath% %File%
; get result
FileRead, Result, %File%
FileDelete, %File%
Return, Result
} |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Phixmonti | Phixmonti | /# Rosetta Code problem: http://rosettacode.org/wiki/9_billion_names_of_God_the_integer
by Galileo, 05/2022 #/
include ..\Utilitys.pmt
cls
def nine_billion_names >ps
0 ( tps dup ) dim
1 ( 1 1 ) sset
( 2 tps ) for var i
( 1 i ) for var j
( i 1 - j 1 - ) sget >ps ( i j - j ) sget ps> + ( i j ) sset
endfor
endfor
( 1 tps ) for var i
tps 2 * i 2 * 2 - - >ps
( 1 i ) for var j
( i j ) sget tostr len nip 1 swap - tps j 4 * + + i locate ( i j ) sget print
endfor
nl
ps> drop
endfor
ps> drop drop
enddef
20 nine_billion_names |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Picat | Picat | import cp.
main =>
foreach(N in 1..25)
P = integer_partition(N).reverse,
G = P.map(sort_down).map(first).counts.to_list.sort.map(second),
println(G=G.sum)
end,
println("Num partitions == sum of rows:"),
println([partition1(N) : N in 1..25]).
% Get all partitions
integer_partition(N) = find_all(X,integer_partition(N,X)).
integer_partition(N,X) =>
member(Len,1..N),
X = new_list(Len),
X :: 1..N,
increasing(X),
sum(X) #= N,
solve($[split],X).
% Counts the occurrences of the elements in L
counts(L) = Map =>
Map = new_map(),
foreach(I in L)
Map.put(I,Map.get(I,0)+1)
end. |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #BASIC | BASIC | DEFINT A-Z
tryagain:
backhere = CSRLIN
INPUT "", i$
i$ = LTRIM$(RTRIM$(i$))
where = INSTR(i$, " ")
IF where THEN
a = VAL(LEFT$(i$, where - 1))
b = VAL(MID$(i$, where + 1))
c = a + b
LOCATE backhere, LEN(i$) + 1
PRINT c
ELSE
GOTO tryagain
END IF |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #Slate | Slate | m@(Integer traits) ackermann: n@(Integer traits)
[
m isZero
ifTrue: [n + 1]
ifFalse:
[n isZero
ifTrue: [m - 1 ackermann: n]
ifFalse: [m - 1 ackermann: (m ackermann: n - 1)]]
]. |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Component_Pascal | Component Pascal |
MODULE ABCProblem;
IMPORT
StdLog, DevCommanders, TextMappers;
CONST
notfound = -1;
TYPE
String = ARRAY 3 OF CHAR;
VAR
blocks : ARRAY 20 OF String;
PROCEDURE Check(s: ARRAY OF CHAR): BOOLEAN;
VAR
used: SET;
i,blockIndex: INTEGER;
PROCEDURE GetBlockFor(c: CHAR): INTEGER;
VAR
i: INTEGER;
BEGIN
c := CAP(c);
i := 0;
WHILE (i < LEN(blocks)) DO
IF (c = blocks[i][0]) OR (c = blocks[i][1]) THEN
IF ~(i IN used) THEN RETURN i END
END;
INC(i)
END;
RETURN notfound
END GetBlockFor;
BEGIN
used := {};
FOR i := 0 TO LEN(s$) - 1 DO
blockIndex := GetBlockFor(s[i]);
IF blockIndex = notfound THEN
RETURN FALSE
ELSE
INCL(used,blockIndex)
END
END;
RETURN TRUE
END Check;
PROCEDURE CanMakeWord*;
VAR
s: TextMappers.Scanner;
BEGIN
s.ConnectTo(DevCommanders.par.text);
s.SetPos(DevCommanders.par.beg);
s.Scan;
WHILE (~s.rider.eot) DO
IF (s.type = TextMappers.char) & (s.char = '~') THEN
RETURN
ELSIF (s.type = TextMappers.string) THEN
StdLog.String(s.string);StdLog.String(":> ");
StdLog.Bool(Check(s.string));StdLog.Ln
END;
s.Scan
END
END CanMakeWord;
BEGIN
blocks[0] := "BO";
blocks[1] := "XK";
blocks[2] := "DQ";
blocks[3] := "CP";
blocks[4] := "NA";
blocks[5] := "GT";
blocks[6] := "RE";
blocks[7] := "TG";
blocks[8] := "QD";
blocks[9] := "FS";
blocks[10] := "JW";
blocks[11] := "HU";
blocks[12] := "VI";
blocks[13] := "AN";
blocks[14] := "OB";
blocks[15] := "ER";
blocks[16] := "FS";
blocks[17] := "LY";
blocks[18] := "PC";
blocks[19] := "ZM";
END ABCProblem.
|
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #Ada | Ada |
package Prisoners is
type Win_Percentage is digits 2 range 0.0 .. 100.0;
type Drawers is array (1 .. 100) of Positive;
function Play_Game
(Repetitions : in Positive;
Strategy : not null access function
(Cupboard : in Drawers; Max_Prisoners : Integer;
Max_Attempts : Integer; Prisoner_Number : Integer) return Boolean)
return Win_Percentage;
-- Play the game with a specified number of repetitions, the chosen strategy
-- is passed to this function
function Optimal_Strategy
(Cupboard : in Drawers; Max_Prisoners : Integer; Max_Attempts : Integer;
Prisoner_Number : Integer) return Boolean;
function Random_Strategy
(Cupboard : in Drawers; Max_Prisoners : Integer; Max_Attempts : Integer;
Prisoner_Number : Integer) return Boolean;
end Prisoners;
|
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Processing | Processing | void setup() {
println("First 25 abundant odd numbers: ");
int abundant = 0;
int i = 1;
while (abundant < 25) {
int sigma_sum = sigma(i);
if (sigma_sum > 2 * i) {
abundant++;
println(i + " Sigma sum: " + sigma_sum);
}
i += 2;
}
println("Thousandth abundant odd number: ");
while (abundant < 1000) {
int sigma_sum = sigma(i);
if (sigma_sum > 2 * i) {
abundant++;
if (abundant == 1000) {
println(i + " Sigma sum: " + sigma_sum);
}
}
i += 2;
}
println("First abundant odd number greater than 10^9: ");
i = int(pow(10, 9)) + 1;
while (!(sigma(i) > 2 * i)) {
i += 2;
}
println(i + " Sigma sum: " + sigma(i));
}
int sigma(int n) {
int sum = 0;
for (int i = 1; i < sqrt(n); i++) {
if (n % i == 0) {
sum += i + n / i;
}
}
if (sqrt(n) % 1 == 0) {
sum += sqrt(n);
}
return sum;
} |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #Go | Go | package main
import (
"bufio"
"fmt"
"log"
"math/rand"
"os"
"strconv"
"time"
)
var scanner = bufio.NewScanner(os.Stdin)
var (
total = 0
quit = false
)
func itob(i int) bool {
if i == 0 {
return false
}
return true
}
func getChoice() {
for {
fmt.Print("Your choice 1 to 3 : ")
scanner.Scan()
if scerr := scanner.Err(); scerr != nil {
log.Fatalln(scerr, "when choosing number")
}
text := scanner.Text()
if text == "q" || text == "Q" {
quit = true
return
}
input, err := strconv.Atoi(text)
if err != nil {
fmt.Println("Invalid number, try again")
continue
}
newTotal := total + input
switch {
case input < 1 || input > 3:
fmt.Println("Out of range, try again")
case newTotal > 21:
fmt.Println("Too big, try again")
default:
total = newTotal
fmt.Println("Running total is now", total)
return
}
}
}
func main() {
rand.Seed(time.Now().UnixNano())
computer := itob(rand.Intn(2))
fmt.Println("Enter q to quit at any time\n")
if computer {
fmt.Println("The computer will choose first")
} else {
fmt.Println("You will choose first")
}
fmt.Println("\nRunning total is now 0\n")
var choice int
for round := 1; ; round++ {
fmt.Printf("ROUND %d:\n\n", round)
for i := 0; i < 2; i++ {
if computer {
if total < 18 {
choice = 1 + rand.Intn(3)
} else {
choice = 21 - total
}
total += choice
fmt.Println("The computer chooses", choice)
fmt.Println("Running total is now", total)
if total == 21 {
fmt.Println("\nSo, commiserations, the computer has won!")
return
}
} else {
getChoice()
if quit {
fmt.Println("OK, quitting the game")
return
}
if total == 21 {
fmt.Println("\nSo, congratulations, you've won!")
return
}
}
fmt.Println()
computer = !computer
}
}
} |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #C.2B.2B | C++ |
#include <iostream>
#include <ratio>
#include <array>
#include <algorithm>
#include <random>
typedef short int Digit; // Typedef for the digits data type.
constexpr Digit nDigits{4}; // Amount of digits that are taken into the game.
constexpr Digit maximumDigit{9}; // Maximum digit that may be taken into the game.
constexpr short int gameGoal{24}; // Desired result.
typedef std::array<Digit, nDigits> digitSet; // Typedef for the set of digits in the game.
digitSet d;
void printTrivialOperation(std::string operation) { // Prints a commutative operation taking all the digits.
bool printOperation(false);
for(const Digit& number : d) {
if(printOperation)
std::cout << operation;
else
printOperation = true;
std::cout << number;
}
std::cout << std::endl;
}
void printOperation(std::string prefix, std::string operation1, std::string operation2, std::string operation3, std::string suffix = "") {
std::cout << prefix << d[0] << operation1 << d[1] << operation2 << d[2] << operation3 << d[3] << suffix << std::endl;
}
int main() {
std::mt19937_64 randomGenerator;
std::uniform_int_distribution<Digit> digitDistro{1, maximumDigit};
// Let us set up a number of trials:
for(int trial{10}; trial; --trial) {
for(Digit& digit : d) {
digit = digitDistro(randomGenerator);
std::cout << digit << " ";
}
std::cout << std::endl;
std::sort(d.begin(), d.end());
// We start with the most trivial, commutative operations:
if(std::accumulate(d.cbegin(), d.cend(), 0) == gameGoal)
printTrivialOperation(" + ");
if(std::accumulate(d.cbegin(), d.cend(), 1, std::multiplies<Digit>{}) == gameGoal)
printTrivialOperation(" * ");
// Now let's start working on every permutation of the digits.
do {
// Operations with 2 symbols + and one symbol -:
if(d[0] + d[1] + d[2] - d[3] == gameGoal) printOperation("", " + ", " + ", " - "); // If gameGoal is ever changed to a smaller value, consider adding more operations in this category.
// Operations with 2 symbols + and one symbol *:
if(d[0] * d[1] + d[2] + d[3] == gameGoal) printOperation("", " * ", " + ", " + ");
if(d[0] * (d[1] + d[2]) + d[3] == gameGoal) printOperation("", " * ( ", " + ", " ) + ");
if(d[0] * (d[1] + d[2] + d[3]) == gameGoal) printOperation("", " * ( ", " + ", " + ", " )");
// Operations with one symbol + and 2 symbols *:
if((d[0] * d[1] * d[2]) + d[3] == gameGoal) printOperation("( ", " * ", " * ", " ) + ");
if(d[0] * d[1] * (d[2] + d[3]) == gameGoal) printOperation("( ", " * ", " * ( ", " + ", " )");
if((d[0] * d[1]) + (d[2] * d[3]) == gameGoal) printOperation("( ", " * ", " ) + ( ", " * ", " )");
// Operations with one symbol - and 2 symbols *:
if((d[0] * d[1] * d[2]) - d[3] == gameGoal) printOperation("( ", " * ", " * ", " ) - ");
if(d[0] * d[1] * (d[2] - d[3]) == gameGoal) printOperation("( ", " * ", " * ( ", " - ", " )");
if((d[0] * d[1]) - (d[2] * d[3]) == gameGoal) printOperation("( ", " * ", " ) - ( ", " * ", " )");
// Operations with one symbol +, one symbol *, and one symbol -:
if(d[0] * d[1] + d[2] - d[3] == gameGoal) printOperation("", " * ", " + ", " - ");
if(d[0] * (d[1] + d[2]) - d[3] == gameGoal) printOperation("", " * ( ", " + ", " ) - ");
if(d[0] * (d[1] - d[2]) + d[3] == gameGoal) printOperation("", " * ( ", " - ", " ) + ");
if(d[0] * (d[1] + d[2] - d[3]) == gameGoal) printOperation("", " * ( ", " + ", " - ", " )");
if(d[0] * d[1] - (d[2] + d[3]) == gameGoal) printOperation("", " * ", " - ( ", " + ", " )");
// Operations with one symbol *, one symbol /, one symbol +:
if(d[0] * d[1] == (gameGoal - d[3]) * d[2]) printOperation("( ", " * ", " / ", " ) + ");
if(((d[0] * d[1]) + d[2]) == gameGoal * d[3]) printOperation("(( ", " * ", " ) + ", " ) / ");
if((d[0] + d[1]) * d[2] == gameGoal * d[3]) printOperation("(( ", " + ", " ) * ", " ) / ");
if(d[0] * d[1] == gameGoal * (d[2] + d[3])) printOperation("( ", " * ", " ) / ( ", " + ", " )");
// Operations with one symbol *, one symbol /, one symbol -:
if(d[0] * d[1] == (gameGoal + d[3]) * d[2]) printOperation("( ", " * ", " / ", " ) - ");
if(((d[0] * d[1]) - d[2]) == gameGoal * d[3]) printOperation("(( ", " * ", " ) - ", " ) / ");
if((d[0] - d[1]) * d[2] == gameGoal * d[3]) printOperation("(( ", " - ", " ) * ", " ) / ");
if(d[0] * d[1] == gameGoal * (d[2] - d[3])) printOperation("( ", " * ", " ) / ( ", " - ", " )");
// Operations with 2 symbols *, one symbol /:
if(d[0] * d[1] * d[2] == gameGoal * d[3]) printOperation("", " * ", " * ", " / ");
if(d[0] * d[1] == gameGoal * d[2] * d[3]) printOperation("", " * ", " / ( ", " * ", " )");
// Operations with 2 symbols /, one symbol -:
if(d[0] * d[3] == gameGoal * (d[1] * d[3] - d[2])) printOperation("", " / ( ", " - ", " / ", " )");
// Operations with 2 symbols /, one symbol *:
if(d[0] * d[1] == gameGoal * d[2] * d[3]) printOperation("( ", " * ", " / ", " ) / ", "");
} while(std::next_permutation(d.begin(), d.end())); // All operations are repeated for all possible permutations of the numbers.
}
return 0;
}
|
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #JavaScript | JavaScript | (() => {
// 4-rings or 4-squares puzzle ------------------------
// rings :: noRepeatedDigits -> DigitList -> solutions
// rings :: Bool -> [Int] -> [[Int]]
const rings = (uniq, digits) => {
return 0 < digits.length ? (() => {
const
ns = sortBy(flip(compare), digits),
h = head(ns);
// CENTRAL DIGIT :: d
return bindList(
ns,
d => {
const ts = filter(x => (x + d) <= h, ns);
// LEFT OF CENTRE :: c and a
return bindList(
uniq ? delete_(d, ts) : ns,
c => {
const a = c + d;
// RIGHT OF CENTRE :: e and g
return a > h ? (
[]
) : bindList(uniq ? (
difference(ts, [d, c, a])
) : ns, e => {
const g = d + e;
return ((g > h) || (uniq && (g === c))) ? (
[]
) : (() => {
const
agDelta = a - g,
bfs = uniq ? difference(
ns, [d, c, e, g, a]
) : ns;
// MID LEFT, MID RIGHT :: b and f
return bindList(bfs, b => {
const f = b + agDelta;
return elem(f, bfs) && (
!uniq || notElem(f, [
a, b, c, d, e, g
])
) ? ([
[a, b, c, d, e, f, g]
]) : [];
});
})();
});
});
});
})() : []
};
// TEST -----------------------------------------------
const main = () => {
return unlines([
'rings(true, enumFromTo(1,7))\n',
unlines(map(show, rings(true, enumFromTo(1, 7)))),
'\nrings(true, enumFromTo(3, 9))\n',
unlines(map(show, rings(true, enumFromTo(3, 9)))),
'\nlength(rings(false, enumFromTo(0, 9)))\n',
length(rings(false, enumFromTo(0, 9)))
.toString(),
''
]);
};
// GENERIC FUNCTIONS ----------------------------------
// bindList (>>=) :: [a] -> (a -> [b]) -> [b]
const bindList = (xs, mf) => [].concat.apply([], xs.map(mf));
// compare :: a -> a -> Ordering
const compare = (a, b) => a < b ? -1 : (a > b ? 1 : 0);
// delete_ :: Eq a => a -> [a] -> [a]
const delete_ = (x, xs) =>
xs.length > 0 ? (
(x === xs[0]) ? (
xs.slice(1)
) : [xs[0]].concat(delete_(x, xs.slice(1)))
) : [];
// difference :: Eq a => [a] -> [a] -> [a]
const difference = (xs, ys) => {
const s = new Set(ys);
return xs.filter(x => !s.has(x));
};
// elem :: Eq a => a -> [a] -> Bool
const elem = (x, xs) => xs.indexOf(x) !== -1;
// enumFromTo :: Int -> Int -> [Int]
const enumFromTo = (m, n) =>
Array.from({
length: Math.floor(n - m) + 1
}, (_, i) => m + i);
// filter :: (a -> Bool) -> [a] -> [a]
const filter = (f, xs) => xs.filter(f);
// flip :: (a -> b -> c) -> b -> a -> c
const flip = f => (a, b) => f.apply(null, [b, a]);
// head :: [a] -> a
const head = xs => xs.length ? xs[0] : undefined;
// length :: [a] -> Int
const length = xs => xs.length;
// map :: (a -> b) -> [a] -> [b]
const map = (f, xs) => xs.map(f);
// notElem :: Eq a => a -> [a] -> Bool
const notElem = (x, xs) => xs.indexOf(x) === -1;
// show :: a -> String
const show = x => JSON.stringify(x); //, null, 2);
// sortBy :: (a -> a -> Ordering) -> [a] -> [a]
const sortBy = (f, xs) => xs.sort(f);
// unlines :: [String] -> String
const unlines = xs => xs.join('\n');
// MAIN ---
return main();
})(); |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #8080_Assembly | 8080 Assembly |
\ 99 bottles of beer on the wall:
: allout "no more bottles" ;
: just-one "1 bottle" ;
: yeah! dup . " bottles" ;
[
' allout ,
' just-one ,
' yeah! ,
] var, bottles
: .bottles dup 2 n:min bottles @ swap caseof ;
: .beer .bottles . " of beer" . ;
: .wall .beer " on the wall" . ;
: .take " Take one down and pass it around" . ;
: beers .wall ", " . .beer '; putc cr
n:1- 0 max .take ", " .
.wall '. putc cr drop ;
' beers 1 99 loop- bye
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #AutoIt | AutoIt |
;AutoIt Script Example
;by Daniel Barnes
;spam me at djbarnes at orcon dot net dot en zed
;13/08/2012
;Choose four random digits (1-9) with repetitions allowed:
global $digits
FOR $i = 1 TO 4
$digits &= Random(1,9,1)
NEXT
While 1
main()
WEnd
Func main()
$text = "Enter an equation (using all of, and only, the single digits "&$digits &")"&@CRLF
$text &= "which evaluates to exactly 24. Only multiplication (*) division (/)"&@CRLF
$text &= "addition (+) and subtraction (-) operations and parentheses are allowed:"
$input = InputBox ("24 Game",$text,"","",400,150)
If @error Then exit
;remove any spaces in input
$input = StringReplace($input," ","")
;check correct characters were used
For $i = 1 To StringLen($input)
$chr = StringMid($input,$i,1)
If Not StringInStr("123456789*/+-()",$chr) Then
MsgBox (0, "ERROR","Invalid character used: '"&$chr&"'")
return
endif
Next
;validate the equation uses all of the 4 characters, and nothing else
$test = $input
$test = StringReplace($test,"(","")
$test = StringReplace($test,")","")
;validate the length of the input - if its not 7 characters long then the user has done something wrong
If StringLen ($test) <> 7 Then
MsgBox (0,"ERROR","The equation "&$test&" is invalid")
return
endif
$test = StringReplace($test,"/","")
$test = StringReplace($test,"*","")
$test = StringReplace($test,"-","")
$test = StringReplace($test,"+","")
For $i = 1 To StringLen($digits)
$digit = StringMid($digits,$i,1)
For $ii = 1 To StringLen($test)
If StringMid($test,$ii,1) = $digit Then
$test = StringLeft($test,$ii-1) & StringRight($test,StringLen($test)-$ii)
ExitLoop
endif
Next
Next
If $test <> "" Then
MsgBox (0, "ERROR", "The equation didn't use all 4 characters, and nothing else!")
return
endif
$try = Execute($input)
If $try = 24 Then
MsgBox (0, "24 Game","Well done. Your equation ("&$input&") = 24!")
Exit
Else
MsgBox (0, "24 Game","Fail. Your equation ("&$input&") = "&$try&"!")
return
endif
EndFunc
|
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #PicoLisp | PicoLisp | (de row (N)
(let C '((1))
(do N
(push 'C (grow C)) )
(mapcon
'((L)
(when (cdr L)
(cons (- (cadr L) (car L))) ) )
(car C) ) ) )
(de grow (Lst)
(let (L (length Lst) S 0)
(cons
0
(mapcar
'((I X)
(inc 'S
(get I (inc (min X (- L X)))) ) )
Lst
(range 1 L) ) ) ) )
(de sumr (N)
(let
(K 1
S 1
O (cons 1 (need N 0))
D
(make
(while
(<
(* K (dec (* 3 K)))
(* 2 N) )
(link (list (dec (* 2 K)) S))
(link (list K S))
(inc 'K)
(setq S (- S)) ) ) )
(for (Y O (cdr Y) (cdr Y))
(let Z Y
(for L D
(inc
(setq Z (cdr (nth Z (car L))))
(* (car Y) (cadr L)) ) ) ) )
(last O) ) )
(for I 25
(println (row I)) )
(bench
(for I '(23 123 1234 12345)
(println (sumr I)) ) )
(bye) |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Pike | Pike | array cumu(int n) {
array(array(int)) cache = ({({1})});
for(int l = sizeof(cache); l < n + 1; l++) {
array(int) r = ({0});
for(int x = 1; x < l + 1; x++) {
r = Array.push(r, r[-1] + cache[l - x][min(x, l-x)]);
}
cache = Array.push(cache, r);
}
return cache[n];
}
array row(int n) {
array r = cumu(n);
array res = ({});
for (int i = 0; i < n; i++) {
res = Array.push(res, r[i+1] - r[i]);
}
return res;
}
int main() {
write("rows:\n");
for(int x = 1; x < 11; x++) {
write("%2d: ", x);
for(int i = 0; i < sizeof(row(x)); i++) {
write((string)row(x)[i] + " ");
}
write("\n");
}
array(int) sum_n = ({23, 123, 1234, 12345});
write("\nsums:\n");
for (int x = 0; x < sizeof(sum_n); x++) {
write((string)sum_n[x] + " " + (string)cumu(sum_n[x])[-1] + "\n");
}
return 0;
} |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #Batch_File | Batch File | ::aplusb.cmd
@echo off
setlocal
set /p a="A: "
set /p b="B: "
set /a c=a+b
echo %c%
endlocal |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #Smalltalk | Smalltalk | |ackermann|
ackermann := [ :n :m |
(n = 0) ifTrue: [ (m + 1) ]
ifFalse: [
(m = 0) ifTrue: [ ackermann value: (n-1) value: 1 ]
ifFalse: [
ackermann value: (n-1)
value: ( ackermann value: n
value: (m-1) )
]
]
].
(ackermann value: 0 value: 0) displayNl.
(ackermann value: 3 value: 4) displayNl. |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Cowgol | Cowgol | include "cowgol.coh";
include "strings.coh";
sub can_make_word(word: [uint8]): (r: uint8) is
var blocks: [uint8] := "BOXKDQCPNAGTRETGQDFSJWHUVIANOBERFSLYPCZM";
# Initialize blocks array
var avl: uint8[41];
CopyString(blocks, &avl[0]);
r := 1;
loop
var letter := [word];
word := @next word;
if letter == 0 then break; end if;
# find current letter in blocks
var i: @indexof avl := 0;
loop
var block := avl[i];
if block == 0 then
# no block, this word cannot be formed
r := 0;
return;
elseif block == letter then
# we found it, blank it out
avl[i] := ' ';
avl[i^1] := ' '; # and the other letter on the block too
break;
end if;
i := i + 1;
end loop;
end loop;
end sub;
# test a list of words
var words: [uint8][] := {"A","BARK","BOOK","TREAT","COMMON","SQUAD","CONFUSE"};
var resp: [uint8][] := {": No\n", ": Yes\n"};
var i: @indexof words := 0;
while i < @sizeof words loop
print(words[i]);
print(resp[can_make_word(words[i])]);
i := i + 1;
end loop; |
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #APL | APL |
∇ R ← random Nnc; N; n; c
(N n c) ← Nnc
R ← ∧/{∨/⍵=c[n?N]}¨⍳N
∇
∇ R ← follow Nnc; N; n; c; b
(N n c) ← Nnc
b ← n N⍴⍳N
R ← ∧/∨⌿b={⍺⊢c[⍵]}⍀n N⍴c
∇
∇ R ← M timesSimPrisoners Nn; N; n; m; c; r; s
(N n) ← Nn
R ← 0 0
m ← M
LOOP: c←N?N
r ← random N n c
s ← follow N n c
R ← R + r,s
→((m←m-1)>0)/LOOP
R ← R ÷ M
∇
5000 timesSimPrisoners 100 50
|
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #PureBasic | PureBasic | NewList l_sum.i()
Procedure.i sum_proper_divisors(n.i)
Define.i sum, i=3, j
Shared l_sum()
AddElement(l_sum())
l_sum()=1
While i<Sqr(n)+1
If n%i=0
sum+i
AddElement(l_sum())
l_sum()=i
j=n/i
If i<>j
sum+j
AddElement(l_sum())
l_sum()=j
EndIf
EndIf
i+2
Wend
ProcedureReturn sum+1
EndProcedure
If OpenConsole("Abundant_odd_numbers")
Define.i n, c, s
n=1
c=0
While c<25
ClearList(l_sum())
s=sum_proper_divisors(n)
If n<s
SortList(l_sum(),#PB_Sort_Ascending)
c+1
Print(RSet(Str(c),3)+": "+RSet(Str(n),6)+" -> "+RSet(Str(s),6))
ForEach l_sum()
If ListIndex(l_sum())=0
Print(" = ")
Else
Print("+")
EndIf
Print(Str(l_sum()))
Next
PrintN("")
EndIf
n+2
Wend
n-2
While c<1000
s=sum_proper_divisors(n+2)
c+Bool(n<s)
n+2
Wend
PrintN(~"\nThe one thousandth abundant odd number is: "+Str(n)+
~"\n\tand the proper divisor sum is: "+Str(s))
n=1000000001-2
Repeat
n+2
s=sum_proper_divisors(n)
Until n<s
PrintN("The first abundant odd number above one billion is: "+Str(n)+
~"\n\tand the proper divisor sum is: "+Str(s))
Input()
EndIf |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #Haskell | Haskell | import System.Random
import System.IO
import System.Exit
import Control.Monad
import Text.Read
import Data.Maybe
promptAgain :: IO Int
promptAgain = do
putStrLn "Invalid input - must be a number among 1,2 or 3. Try again."
playerMove
playerMove :: IO Int
playerMove = do
putStr "Your choice(1 to 3):"
number <- getLine
when (number == "q") $ do
exitWith ExitSuccess
let n = readMaybe number :: Maybe Int
x <- if isNothing n
then promptAgain
else let val = read number
in if (val > 3 || val < 1)
then promptAgain
else return val
return x
computerMove :: IO Int
computerMove = do
x <- randomRIO (1, 3)
putStrLn $ "Computer move:" ++ (show x)
return x
gameLoop :: (IO Int, IO Int) -> IO Int
gameLoop moveorder = loop moveorder 0
where loop moveorder total = do
number <- fst moveorder
let total1 = number + total
putStrLn $ "Running total:" ++ (show total1)
if total1 >= 21
then return 0
else do
number <- snd moveorder
let total2 = number + total1
putStrLn $ "Running total:" ++ (show total2)
if total2 >= 21
then return 1
else loop moveorder total2
main :: IO ()
main = do
hSetBuffering stdout $ BlockBuffering $ Just 1
putStrLn "Enter q to quit at any time"
x <- randomRIO (0, 1) :: IO Int
let (moveorder, names) = if x == 0
then ((playerMove, computerMove), ("Player", "Computer"))
else ((computerMove, playerMove), ("Computer", "Player"))
when (x == 1) $ do
putStrLn "Computer will start the game"
y <- gameLoop moveorder
when (y == 0) $ do
putStrLn $ (fst names) ++ " has won the game"
when (y == 1) $ do
putStrLn $ (snd names) ++ " has won the game" |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #C.23 | C# | using System;
using System.Collections.Generic;
using static System.Linq.Enumerable;
public static class Solve24Game
{
public static void Main2() {
var testCases = new [] {
new [] { 1,1,2,7 },
new [] { 1,2,3,4 },
new [] { 1,2,4,5 },
new [] { 1,2,7,7 },
new [] { 1,4,5,6 },
new [] { 3,3,8,8 },
new [] { 4,4,5,9 },
new [] { 5,5,5,5 },
new [] { 5,6,7,8 },
new [] { 6,6,6,6 },
new [] { 6,7,8,9 },
};
foreach (var t in testCases) Test(24, t);
Test(100, 9,9,9,9,9,9);
static void Test(int target, params int[] numbers) {
foreach (var eq in GenerateEquations(target, numbers)) Console.WriteLine(eq);
Console.WriteLine();
}
}
static readonly char[] ops = { '*', '/', '+', '-' };
public static IEnumerable<string> GenerateEquations(int target, params int[] numbers) {
var operators = Repeat(ops, numbers.Length - 1).CartesianProduct().Select(e => e.ToArray()).ToList();
return (
from pattern in Patterns(numbers.Length)
let expression = CreateExpression(pattern)
from ops in operators
where expression.WithOperators(ops).HasPreferredTree()
from permutation in Permutations(numbers)
let expr = expression.WithValues(permutation)
where expr.Value == target && expr.HasPreferredValues()
select $"{expr.ToString()} = {target}")
.Distinct()
.DefaultIfEmpty($"Cannot make {target} with {string.Join(", ", numbers)}");
}
///<summary>Generates postfix expression trees where 1's represent operators and 0's represent numbers.</summary>
static IEnumerable<int> Patterns(int length) {
if (length == 1) yield return 0; //0
if (length == 2) yield return 1; //001
if (length < 3) yield break;
//Of each tree, the first 2 bits must always be 0 and the last bit must be 1. Generate the bits in between.
length -= 2;
int len = length * 2 + 3;
foreach (int permutation in BinaryPatterns(length, length * 2)) {
(int p, int l) = ((permutation << 1) + 1, len);
if (IsValidPattern(ref p, ref l)) yield return (permutation << 1) + 1;
}
}
///<summary>Generates all numbers with the given number of 1's and total length.</summary>
static IEnumerable<int> BinaryPatterns(int ones, int length) {
int initial = (1 << ones) - 1;
int blockMask = (1 << length) - 1;
for (int v = initial; v >= initial; ) {
yield return v;
int w = (v | (v - 1)) + 1;
w |= (((w & -w) / (v & -v)) >> 1) - 1;
v = w & blockMask;
}
}
static bool IsValidPattern(ref int pattern, ref int len) {
bool isNumber = (pattern & 1) == 0;
pattern >>= 1;
len--;
if (isNumber) return true;
IsValidPattern(ref pattern, ref len);
IsValidPattern(ref pattern, ref len);
return len == 0;
}
static Expr CreateExpression(int pattern) {
return Create();
Expr Create() {
bool isNumber = (pattern & 1) == 0;
pattern >>= 1;
if (isNumber) return new Const(0);
Expr right = Create();
Expr left = Create();
return new Binary('*', left, right);
}
}
static IEnumerable<IEnumerable<T>> CartesianProduct<T>(this IEnumerable<IEnumerable<T>> sequences) {
IEnumerable<IEnumerable<T>> emptyProduct = new[] { Empty<T>() };
return sequences.Aggregate(
emptyProduct,
(accumulator, sequence) =>
from acc in accumulator
from item in sequence
select acc.Concat(new [] { item }));
}
private static List<int> helper = new List<int>();
public static IEnumerable<T[]> Permutations<T>(params T[] input) {
if (input == null || input.Length == 0) yield break;
helper.Clear();
for (int i = 0; i < input.Length; i++) helper.Add(i);
while (true) {
yield return input;
int cursor = helper.Count - 2;
while (cursor >= 0 && helper[cursor] > helper[cursor + 1]) cursor--;
if (cursor < 0) break;
int i = helper.Count - 1;
while (i > cursor && helper[i] < helper[cursor]) i--;
(helper[cursor], helper[i]) = (helper[i], helper[cursor]);
(input[cursor], input[i]) = (input[i], input[cursor]);
int firstIndex = cursor + 1;
for (int lastIndex = helper.Count - 1; lastIndex > firstIndex; ++firstIndex, --lastIndex) {
(helper[firstIndex], helper[lastIndex]) = (helper[lastIndex], helper[firstIndex]);
(input[firstIndex], input[lastIndex]) = (input[lastIndex], input[firstIndex]);
}
}
}
static Expr WithOperators(this Expr expr, char[] operators) {
int i = 0;
SetOperators(expr, operators, ref i);
return expr;
static void SetOperators(Expr expr, char[] operators, ref int i) {
if (expr is Binary b) {
b.Symbol = operators[i++];
SetOperators(b.Right, operators, ref i);
SetOperators(b.Left, operators, ref i);
}
}
}
static Expr WithValues(this Expr expr, int[] values) {
int i = 0;
SetValues(expr, values, ref i);
return expr;
static void SetValues(Expr expr, int[] values, ref int i) {
if (expr is Binary b) {
SetValues(b.Left, values, ref i);
SetValues(b.Right, values, ref i);
} else {
expr.Value = values[i++];
}
}
}
static bool HasPreferredTree(this Expr expr) => expr switch {
Const _ => true,
// a / b * c => a * c / b
((_, '/' ,_), '*', _) => false,
// c + a * b => a * b + c
(var l, '+', (_, '*' ,_) r) when l.Depth < r.Depth => false,
// c + a / b => a / b + c
(var l, '+', (_, '/' ,_) r) when l.Depth < r.Depth => false,
// a * (b + c) => (b + c) * a
(var l, '*', (_, '+' ,_) r) when l.Depth < r.Depth => false,
// a * (b - c) => (b - c) * a
(var l, '*', (_, '-' ,_) r) when l.Depth < r.Depth => false,
// (a +- b) + (c */ d) => ((c */ d) + a) +- b
((_, var p, _), '+', (_, var q, _)) when "+-".Contains(p) && "*/".Contains(q) => false,
// a + (b + c) => (a + b) + c
(var l, '+', (_, '+' ,_) r) => false,
// a + (b - c) => (a + b) - c
(var l, '+', (_, '-' ,_) r) => false,
// a - (b + c) => (a - b) + c
(_, '-', (_, '+', _)) => false,
// a * (b * c) => (a * b) * c
(var l, '*', (_, '*' ,_) r) => false,
// a * (b / c) => (a * b) / c
(var l, '*', (_, '/' ,_) r) => false,
// a / (b / c) => (a * c) / b
(var l, '/', (_, '/' ,_) r) => false,
// a - (b - c) * d => (c - b) * d + a
(_, '-', ((_, '-' ,_), '*', _)) => false,
// a - (b - c) / d => (c - b) / d + a
(_, '-', ((_, '-' ,_), '/', _)) => false,
// a - (b - c) => a + c - b
(_, '-', (_, '-', _)) => false,
// (a - b) + c => (a + c) - b
((_, '-', var b), '+', var c) => false,
(var l, _, var r) => l.HasPreferredTree() && r.HasPreferredTree()
};
static bool HasPreferredValues(this Expr expr) => expr switch {
Const _ => true,
// -a + b => b - a
(var l, '+', var r) when l.Value < 0 && r.Value >= 0 => false,
// b * a => a * b
(var l, '*', var r) when l.Depth == r.Depth && l.Value > r.Value => false,
// b + a => a + b
(var l, '+', var r) when l.Depth == r.Depth && l.Value > r.Value => false,
// (b o c) * (a o d) => (a o d) * (b o c)
((var a, _, _) l, '*', (var c, _, _) r) when l.Value == r.Value && l.Depth == r.Depth && a.Value < c.Value => false,
// (b o c) + (a o d) => (a o d) + (b o c)
((var a, var p, _) l, '+', (var c, var q, _) r) when l.Value == r.Value && l.Depth == r.Depth && a.Value < c.Value => false,
// (a * c) * b => (a * b) * c
((_, '*', var c), '*', var b) when b.Value < c.Value => false,
// (a + c) + b => (a + b) + c
((_, '+', var c), '+', var b) when b.Value < c.Value => false,
// (a - b) - c => (a - c) - b
((_, '-', var b), '-', var c) when b.Value < c.Value => false,
// a / 1 => a * 1
(_, '/', var b) when b.Value == 1 => false,
// a * b / b => a + b - b
((_, '*', var b), '/', var c) when b.Value == c.Value => false,
// a * 1 * 1 => a + 1 - 1
((_, '*', var b), '*', var c) when b.Value == 1 && c.Value == 1 => false,
(var l, _, var r) => l.HasPreferredValues() && r.HasPreferredValues()
};
private struct Fraction : IEquatable<Fraction>, IComparable<Fraction>
{
public readonly int Numerator, Denominator;
public Fraction(int numerator, int denominator)
=> (Numerator, Denominator) = (numerator, denominator) switch
{
(_, 0) => (Math.Sign(numerator), 0),
(0, _) => (0, 1),
(_, var d) when d < 0 => (-numerator, -denominator),
_ => (numerator, denominator)
};
public static implicit operator Fraction(int i) => new Fraction(i, 1);
public static Fraction operator +(Fraction a, Fraction b) =>
new Fraction(a.Numerator * b.Denominator + a.Denominator * b.Numerator, a.Denominator * b.Denominator);
public static Fraction operator -(Fraction a, Fraction b) =>
new Fraction(a.Numerator * b.Denominator + a.Denominator * -b.Numerator, a.Denominator * b.Denominator);
public static Fraction operator *(Fraction a, Fraction b) =>
new Fraction(a.Numerator * b.Numerator, a.Denominator * b.Denominator);
public static Fraction operator /(Fraction a, Fraction b) =>
new Fraction(a.Numerator * b.Denominator, a.Denominator * b.Numerator);
public static bool operator ==(Fraction a, Fraction b) => a.CompareTo(b) == 0;
public static bool operator !=(Fraction a, Fraction b) => a.CompareTo(b) != 0;
public static bool operator <(Fraction a, Fraction b) => a.CompareTo(b) < 0;
public static bool operator >(Fraction a, Fraction b) => a.CompareTo(b) > 0;
public static bool operator <=(Fraction a, Fraction b) => a.CompareTo(b) <= 0;
public static bool operator >=(Fraction a, Fraction b) => a.CompareTo(b) >= 0;
public bool Equals(Fraction other) => Numerator == other.Numerator && Denominator == other.Denominator;
public override string ToString() => Denominator == 1 ? Numerator.ToString() : $"[{Numerator}/{Denominator}]";
public int CompareTo(Fraction other) => (Numerator, Denominator, other.Numerator, other.Denominator) switch {
var ( n1, d1, n2, d2) when n1 == n2 && d1 == d2 => 0,
( 0, 0, _, _) => (-1),
( _, _, 0, 0) => 1,
var ( n1, d1, n2, d2) when d1 == d2 => n1.CompareTo(n2),
(var n1, 0, _, _) => Math.Sign(n1),
( _, _, var n2, 0) => Math.Sign(n2),
var ( n1, d1, n2, d2) => (n1 * d2).CompareTo(n2 * d1)
};
}
private abstract class Expr
{
protected Expr(char symbol) => Symbol = symbol;
public char Symbol { get; set; }
public abstract Fraction Value { get; set; }
public abstract int Depth { get; }
public abstract void Deconstruct(out Expr left, out char symbol, out Expr right);
}
private sealed class Const : Expr
{
public Const(Fraction value) : base('c') => Value = value;
public override Fraction Value { get; set; }
public override int Depth => 0;
public override void Deconstruct(out Expr left, out char symbol, out Expr right) => (left, symbol, right) = (this, Symbol, this);
public override string ToString() => Value.ToString();
}
private sealed class Binary : Expr
{
public Binary(char symbol, Expr left, Expr right) : base(symbol) => (Left, Right) = (left, right);
public Expr Left { get; }
public Expr Right { get; }
public override int Depth => Math.Max(Left.Depth, Right.Depth) + 1;
public override void Deconstruct(out Expr left, out char symbol, out Expr right) => (left, symbol, right) = (Left, Symbol, Right);
public override Fraction Value {
get => Symbol switch {
'*' => Left.Value * Right.Value,
'/' => Left.Value / Right.Value,
'+' => Left.Value + Right.Value,
'-' => Left.Value - Right.Value,
_ => throw new InvalidOperationException() };
set {}
}
public override string ToString() => Symbol switch {
'*' => ToString("+-".Contains(Left.Symbol), "+-".Contains(Right.Symbol)),
'/' => ToString("+-".Contains(Left.Symbol), "*/+-".Contains(Right.Symbol)),
'+' => ToString(false, false),
'-' => ToString(false, "+-".Contains(Right.Symbol)),
_ => $"[{Value}]"
};
private string ToString(bool wrapLeft, bool wrapRight) =>
$"{(wrapLeft ? $"({Left})" : $"{Left}")} {Symbol} {(wrapRight ? $"({Right})" : $"{Right}")}";
}
} |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #jq | jq | # Generate a stream of all the permutations of the input array
def permutations:
if length == 0 then []
else
range(0;length) as $i
| [.[$i]] + (del(.[$i])|permutations)
end ;
# Permutations of a ... n inclusive
def permutations(a;n):
[range(a;n+1)] | permutations;
# value of a box
# Input: the table of values
def valueOfBox($box):
[ .[ $box[] ]] | add;
def allEqual($boxes):
. as $values
| valueOfBox($boxes[0]) as $sum
| all($boxes[1:][]; . as $box | $values | valueOfBox($box) == $sum);
def combinations($m; $n; $size):
[range(0; $size) | [range($m; $n)]] | combinations;
def count(s): reduce s as $x (null; .+1);
# a=0, b=1, etc
def boxes: [[0,1], [1,2,3], [3,4,5], [5,6]];
def tasks:
"1 to 7:",
(permutations(1;7) | select(allEqual(boxes))),
"\n3 to 9:",
(permutations(3;9) | select(allEqual(boxes))),
"\n0 to 9:\n\(count(permutations(0;9) | select(allEqual(boxes))))",
"\nThere are \(count(combinations(0;10;7) | select(allEqual(boxes)))) solutions for 0 to 9 with replacement."
;
tasks |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
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Array length
String length
Copy a string
Empty string (assignment)
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Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
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Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #8th | 8th |
\ 99 bottles of beer on the wall:
: allout "no more bottles" ;
: just-one "1 bottle" ;
: yeah! dup . " bottles" ;
[
' allout ,
' just-one ,
' yeah! ,
] var, bottles
: .bottles dup 2 n:min bottles @ swap caseof ;
: .beer .bottles . " of beer" . ;
: .wall .beer " on the wall" . ;
: .take " Take one down and pass it around" . ;
: beers .wall ", " . .beer '; putc cr
n:1- 0 max .take ", " .
.wall '. putc cr drop ;
' beers 1 99 loop- bye
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #BBC_BASIC | BBC BASIC | REM Choose four random digits (1-9) with repetitions allowed:
DIM digits%(4), check%(4)
FOR choice% = 1 TO 4
digits%(choice%) = RND(9)
NEXT choice%
REM Prompt the player:
PRINT "Enter an equation (using all of, and only, the single digits ";
FOR index% = 1 TO 4
PRINT ; digits%(index%) ;
IF index%<>4 PRINT " " ;
NEXT
PRINT ")"
PRINT "which evaluates to exactly 24. Only multiplication (*), division (/),"
PRINT "addition (+) & subtraction (-) operations and parentheses are allowed:"
INPUT "24 = " equation$
REPEAT
REM Check that the correct digits are used:
check%() = 0
FOR char% = 1 TO LEN(equation$)
digit% = INSTR("0123456789", MID$(equation$, char%, 1)) - 1
IF digit% >= 0 THEN
FOR index% = 1 TO 4
IF digit% = digits%(index%) THEN
IF NOT check%(index%) check%(index%) = TRUE : EXIT FOR
ENDIF
NEXT index%
IF index% > 4 THEN
PRINT "Sorry, you used the illegal digit "; digit%
EXIT REPEAT
ENDIF
ENDIF
NEXT char%
FOR index% = 1 TO 4
IF NOT check%(index%) THEN
PRINT "Sorry, you failed to use the digit " ; digits%(index%)
EXIT REPEAT
ENDIF
NEXT index%
REM Check that no pairs of digits are used:
FOR pair% = 11 TO 99
IF INSTR(equation$, STR$(pair%)) THEN
PRINT "Sorry, you may not use a pair of digits "; pair%
EXIT REPEAT
ENDIF
NEXT pair%
REM Check whether the equation evaluates to 24:
ON ERROR LOCAL PRINT "Sorry, there was an error in the equation" : EXIT REPEAT
result = EVAL(equation$)
RESTORE ERROR
IF result = 24 THEN
PRINT "Congratulations, you succeeded in the task!"
ELSE
PRINT "Sorry, your equation evaluated to " ; result " rather than 24!"
ENDIF
UNTIL TRUE
INPUT '"Play again", answer$
IF LEFT$(answer$,1) = "y" OR LEFT$(answer$,1) = "Y" THEN CLS : RUN
QUIT |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #PureBasic | PureBasic |
Define nMax.i=25, n.i, k.i
Dim pfx.s(1)
Procedure.s Sigma(sx.s, sums.s)
Define i.i, v1.i, v2.i, r.i
Define s.s, sa.s
sums=ReverseString(sums) : s=ReverseString(sx)
For i=1 To Len(s)*Bool(Len(s)>Len(sums))+Len(sums)*Bool(Len(sums)>=Len(s))
v1=Val(Mid(s,i,1))
v2=Val(Mid(sums,i,1))
r+v1+v2
sa+Str(r%10)
r/10
Next i
If r : sa+Str(r%10) : EndIf
ProcedureReturn ReverseString(sa)
EndProcedure
Procedure.i Adr(row.i,col.i)
ProcedureReturn ((row-1)*row/2+col)*Bool(row>0 And col>0)
EndProcedure
Procedure Triangle(row.i,Array pfx.s(1))
Define n.i,k.i
Define zs.s
nMax=row
ReDim pfx(Adr(nMax,nMax))
For n=1 To nMax
For k=1 To n
If k>n : pfx(Adr(n,k))="0" : Continue : EndIf
If n=k : pfx(Adr(n,k))="1" : Continue : EndIf
If k<=n/2
zs=""
zs=Sigma(pfx(Adr(n-k,k)),zs)
zs=Sigma(pfx(Adr(n-1,k-1)),zs)
pfx(Adr(n,k))=zs
Else
pfx(Adr(n,k))=pfx(Adr(n-1,k-1))
EndIf
Next k
Next n
EndProcedure
Procedure.s sum(row.i, Array pfx.s(1))
Define s.s
Triangle(row, pfx())
For n=1 To row
s=Sigma(pfx(Adr(row,n)),s)
Next n
ProcedureReturn RSet(Str(row),5,Chr(32))+" : "+s
EndProcedure
OpenConsole()
Triangle(nMax, pfx())
For n=1 To nMax
Print(Space(((nMax*4-1)-(n*4-1))/2))
For k=1 To n
Print(RSet(pfx(Adr(n,k)),3,Chr(32))+Space(1))
Next k
PrintN("")
Next n
PrintN("")
PrintN(sum(23,pfx()))
PrintN(sum(123,pfx()))
PrintN(sum(1234,pfx()))
PrintN(sum(12345,pfx()))
Input()
|
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #bc | bc | read() + read() |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #SmileBASIC | SmileBASIC | DEF ACK(M,N)
IF M==0 THEN
RETURN N+1
ELSEIF M>0 AND N==0 THEN
RETURN ACK(M-1,1)
ELSE
RETURN ACK(M-1,ACK(M,N-1))
ENDIF
END |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #D | D | import std.stdio, std.algorithm, std.string;
bool canMakeWord(in string word, in string[] blocks) pure /*nothrow*/ @safe {
auto bs = blocks.dup;
outer: foreach (immutable ch; word.toUpper) {
foreach (immutable block; bs)
if (block.canFind(ch)) {
bs = bs.remove(bs.countUntil(block));
continue outer;
}
return false;
}
return true;
}
void main() @safe {
immutable blocks = "BO XK DQ CP NA GT RE TG QD FS JW HU VI
AN OB ER FS LY PC ZM".split;
foreach (word; "" ~ "A BARK BoOK TrEAT COmMoN SQUAD conFUsE".split)
writefln(`"%s" %s`, word, canMakeWord(word, blocks));
} |
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #Applesoft_BASIC | Applesoft BASIC | 0 GOTO 9
1 FOR X = 0 TO N:J(X) = X: NEXT: FOR I = 0 TO N:FOR X = 0 TO N:T = J(X):NP = INT ( RND (1) * H):J(X) = J(NP):J(NP) = T: NEXT :FOR G = 1 TO W:IF D(J(G)) = I THEN IP = IP + 1: NEXT I: RETURN
2 NEXT G:RETURN
3 FOR I = 0 TO N:NG = I: FOR G = 0 TO W:CD = D(NG):IF CD = I THEN IP = IP + 1: NEXT I: RETURN
4 NG = CD:IF CD = I THEN STOP
5 NEXT G: RETURN
9 H=100:N=H-1:DIM D(99),J(99):FOR I = 0 TO N:D(I) = I: NEXT:W=INT(H/2)-1:M$=CHR$(13):M$(1)="RANDOM GUESSING":M$(2)="CHAINED NUMBER PICKING"
1000 FOR Q = 0 TO 1 STEP 0 : HOME : PRINT "100 PRISONERS"M$: INPUT "HOW MANY TRIALS FOR EACH METHOD? "; TT
1010 VTAB 2:CALL-958:PRINT M$"RESULTS:"M$
1020 FOR M = 1 TO 2: SU(M) = 0:FA(M) = 0
1030 FOR TN = 1 TO TT
1040 VTAB 4:PRINT M$ " OUT OF " TT " TRIALS, THE RESULTS ARE"M$" AS FOLLOWS...";
1050 IP = 0: X = RND ( - TI): FOR I = 0 TO N:R = INT ( RND (1) * N):T = D(I):D(I) = D(R):D(R) = T: NEXT
1060 ON M GOSUB 1,3 : SU(M) = SU(M) + (IP = H):FA(M) = FA(M) + (IP < H)
1070 FOR Z = 1 TO 2
1071 PRINT M$M$Z". "M$(Z)":"M$
1073 PRINT " "SU(Z)" SUCCESSES"TAB(21)
1074 PRINT " "FA(Z)" FAILURES"M$
1075 PRINT " "(SU(Z) / TT) * 100"% SUCCESS RATE.";:CALL-868
1090 NEXT Z,TN,M
1100 PRINT M$M$"AGAIN?"
1110 GET K$
1120 Q = K$ <> "Y" AND K$ <> CHR$(ASC("Y") + 32) : NEXT Q
|
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Python | Python | #!/usr/bin/python
# Abundant odd numbers - Python
oddNumber = 1
aCount = 0
dSum = 0
from math import sqrt
def divisorSum(n):
sum = 1
i = int(sqrt(n)+1)
for d in range (2, i):
if n % d == 0:
sum += d
otherD = n // d
if otherD != d:
sum += otherD
return sum
print ("The first 25 abundant odd numbers:")
while aCount < 25:
dSum = divisorSum(oddNumber )
if dSum > oddNumber :
aCount += 1
print("{0:5} proper divisor sum: {1}". format(oddNumber ,dSum ))
oddNumber += 2
while aCount < 1000:
dSum = divisorSum(oddNumber )
if dSum > oddNumber :
aCount += 1
oddNumber += 2
print ("\n1000th abundant odd number:")
print (" ",(oddNumber - 2)," proper divisor sum: ",dSum)
oddNumber = 1000000001
found = False
while not found :
dSum = divisorSum(oddNumber )
if dSum > oddNumber :
found = True
print ("\nFirst abundant odd number > 1 000 000 000:")
print (" ",oddNumber," proper divisor sum: ",dSum)
oddNumber += 2 |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #J | J |
g21=: summarize@play@setup ::('g21: error termination'"_)
NB. non-verb must be defined before use, otherwise are assumed verbs.
Until=: 2 :'u^:(0-:v)^:_'
t=: 'score turn choice'
(t)=: i. # ;: t
empty erase't'
Fetch=: &{
Alter=: }
play=: move Until done
done=: 21 <: score Fetch
move=: [: update you`it@.(turn Fetch)
update=: swap@display@add
add=: score Alter~ (score Fetch + choice Fetch)
display=: [ ([: echo 'sum: {}' format~ score Fetch)
swap=: turn Alter~ ([: -. turn Fetch)
it=: ([ [: echo 'It chose {}.' format~ choice Fetch)@(choice Alter~ cb)
cb=: (1:`r`3:`2:)@.(4 | score Fetch) NB. computer brain
r=: 3 :'>:?3'
you=: qio1@check@acquire@prompt
prompt=: [ ([: echo 'your choice?'"_)
acquire=: choice Alter~ ('123' i. 0 { ' ' ,~ read)
check=: (choice Alter~ (665 - score Fetch))@([ ([: echo 'g21: early termination'"_))^:(3 = choice Fetch)
qio1=: choice Alter~ ([: >: choice Fetch)
setup=: ([ [: echo 'On your turn enter 1 2 or 3, other entries exit'"_)@((3 :'?2') turn Alter ])@0 0 0"_ NB. choose first player randomly
summarize=: ' won' ,~ (];._2 'it you ') {~ turn Fetch
read=: 1!:1@:1:
write=: 1!:2 4: NB. unused
format=: ''&$: :([: ; (a: , [: ":&.> [) ,. '{}' ([ (E. <@}.;._1 ]) ,) ])
|
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #Ceylon | Ceylon | import ceylon.random {
DefaultRandom
}
shared sealed class Rational(numerator, denominator = 1) satisfies Numeric<Rational> {
shared Integer numerator;
shared Integer denominator;
Integer gcd(Integer a, Integer b) => if (b == 0) then a else gcd(b, a % b);
shared Rational inverted => Rational(denominator, numerator);
shared Rational simplified =>
let (largestFactor = gcd(numerator, denominator))
Rational(numerator / largestFactor, denominator / largestFactor);
divided(Rational other) => (this * other.inverted).simplified;
negated => Rational(-numerator, denominator).simplified;
plus(Rational other) =>
let (top = numerator*other.denominator + other.numerator*denominator,
bottom = denominator * other.denominator)
Rational(top, bottom).simplified;
times(Rational other) =>
Rational(numerator * other.numerator, denominator * other.denominator).simplified;
shared Integer integer => numerator / denominator;
shared Float float => numerator.float / denominator.float;
string => denominator == 1 then numerator.string else "``numerator``/``denominator``";
shared actual Boolean equals(Object that) {
if (is Rational that) {
value simplifiedThis = this.simplified;
value simplifiedThat = that.simplified;
return simplifiedThis.numerator==simplifiedThat.numerator &&
simplifiedThis.denominator==simplifiedThat.denominator;
} else {
return false;
}
}
}
shared Rational? rational(Integer numerator, Integer denominator = 1) =>
if (denominator == 0)
then null
else Rational(numerator, denominator).simplified;
shared Rational numeratorOverOne(Integer numerator) => Rational(numerator);
shared abstract class Operation(String lexeme) of addition | subtraction | multiplication | division {
shared formal Rational perform(Rational left, Rational right);
string => lexeme;
}
shared object addition extends Operation("+") {
perform(Rational left, Rational right) => left + right;
}
shared object subtraction extends Operation("-") {
perform(Rational left, Rational right) => left - right;
}
shared object multiplication extends Operation("*") {
perform(Rational left, Rational right) => left * right;
}
shared object division extends Operation("/") {
perform(Rational left, Rational right) => left / right;
}
shared Operation[] operations = `Operation`.caseValues;
shared interface Expression of NumberExpression | OperationExpression {
shared formal Rational evaluate();
}
shared class NumberExpression(Rational number) satisfies Expression {
evaluate() => number;
string => number.string;
}
shared class OperationExpression(Expression left, Operation op, Expression right) satisfies Expression {
evaluate() => op.perform(left.evaluate(), right.evaluate());
string => "(``left`` ``op`` ``right``)";
}
shared void run() {
value twentyfour = numeratorOverOne(24);
value random = DefaultRandom();
function buildExpressions({Rational*} numbers, Operation* ops) {
assert (is NumberExpression[4] numTuple = numbers.collect(NumberExpression).tuple());
assert (is Operation[3] opTuple = ops.sequence().tuple());
value [a, b, c, d] = numTuple;
value [op1, op2, op3] = opTuple;
value opExp = OperationExpression; // this is just to give it a shorter name
return [
opExp(opExp(opExp(a, op1, b), op2, c), op3, d),
opExp(opExp(a, op1, opExp(b, op2, c)), op3, d),
opExp(a, op1, opExp(opExp(b, op2, c), op3, d)),
opExp(a, op1, opExp(b, op2, opExp(c, op3, d)))
];
}
print("Please enter your 4 numbers to see how they form 24 or enter the letter r for random numbers.");
if (exists line = process.readLine()) {
Rational[] chosenNumbers;
if (line.trimmed.uppercased == "R") {
chosenNumbers = random.elements(1..9).take(4).collect((Integer element) => numeratorOverOne(element));
print("The random numbers are ``chosenNumbers``");
} else {
chosenNumbers = line.split().map(Integer.parse).narrow<Integer>().collect(numeratorOverOne);
}
value expressions = {
for (numbers in chosenNumbers.permutations)
for (op1 in operations)
for (op2 in operations)
for (op3 in operations)
for (exp in buildExpressions(numbers, op1, op2, op3))
if (exp.evaluate() == twentyfour)
exp
};
print("The solutions are:");
expressions.each(print);
}
} |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Julia | Julia |
using Combinatorics
function foursquares(low, high, onlyunique=true, showsolutions=true)
integers = collect(low:high)
count = 0
sumsallequal(c) = c[1] + c[2] == c[2] + c[3] + c[4] == c[4] + c[5] + c[6] == c[6] + c[7]
combos = onlyunique ? combinations(integers) :
with_replacement_combinations(integers, 7)
for combo in combos, plist in unique(collect(permutations(combo, 7)))
if sumsallequal(plist)
count += 1
if showsolutions
println("$plist is a solution for the list $integers")
end
end
end
println("""Total $(onlyunique?"unique ":"")solutions for HIGH $high, LOW $low: $count""")
end
foursquares(1, 7, true, true)
foursquares(3, 9, true, true)
foursquares(0, 9, false, false)
|
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program bootleBeer64.s */
/*******************************************/
/* Constantes file */
/*******************************************/
/* for this file see task include a file in language AArch64 assembly*/
.include "../includeConstantesARM64.inc"
.equ MAXI, 99
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessLine1: .asciz "@ bottles of beer on the wall\n"
szMessLine2: .ascii "@ bottles of beer\n"
.asciz "Take one down, pass it around\n"
szMessLine3: .asciz "@ bottles of beer on the wall\n\n"
szMessLine4: .ascii "\nNo more bottles of beer on the wall, no more bottles of beer.\n"
.asciz "Go to the store and buy some more, 99 bottles of beer on the wall.\n"
szCarriageReturn: .asciz "\n"
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
mov x2,#MAXI
1:
mov x0,x2
ldr x1,qAdrsZoneConv
bl conversion10 // call decimal conversion
ldr x0,qAdrszMessLine1
ldr x1,qAdrsZoneConv // insert conversion in message
bl strInsertAtCharInc
bl affichageMess
ldr x0,qAdrszMessLine2
ldr x1,qAdrsZoneConv // insert conversion in message
bl strInsertAtCharInc
bl affichageMess
subs x0,x2,#1
ble 2f
ldr x1,qAdrsZoneConv
bl conversion10 // call decimal conversion
ldr x0,qAdrszMessLine3
ldr x1,qAdrsZoneConv // insert conversion in message
bl strInsertAtCharInc
bl affichageMess
2:
subs x2,x2,1
bgt 1b
ldr x0,qAdrszMessLine4
bl affichageMess
100: // standard end of the program
mov x0, #0 // return code
mov x8, #EXIT // request to exit program
svc #0 // perform the system call
qAdrszCarriageReturn: .quad szCarriageReturn
qAdrszMessLine1: .quad szMessLine1
qAdrszMessLine2: .quad szMessLine2
qAdrszMessLine3: .quad szMessLine3
qAdrszMessLine4: .quad szMessLine4
qAdrsZoneConv: .quad sZoneConv
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
|
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #Befunge | Befunge | v > > >> v
2 2 1234
4 ^1?3^4
>8*00p10p> >? ?5> 68*+00g10gpv
v9?7v6 0
8 0
> > >> ^ g
^p00 _v# `\*49:+1 <
_>"rorrE",,,,,$ >~:67*-!#v_:167*+-!#v_:95*-!#v_:295*+-!#v_:586*+\`#v_:97*2--!#v
$ $ $ $ : $
* + - / 1 :
^ < < < < 8 .
6 6
* 4
+ *
\ -
` > v_v
"
^ < _v e
^ _^#+*28:p2\*84\-*86g2:-+*441< s
o
L
> 1 |-*49"#<
| -*84gg01g00<p00*84<v <
>00g:1+00p66*`#^_ "niW">:#,_@
|
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Python | Python | cache = [[1]]
def cumu(n):
for l in range(len(cache), n+1):
r = [0]
for x in range(1, l+1):
r.append(r[-1] + cache[l-x][min(x, l-x)])
cache.append(r)
return cache[n]
def row(n):
r = cumu(n)
return [r[i+1] - r[i] for i in range(n)]
print "rows:"
for x in range(1, 11): print "%2d:"%x, row(x)
print "\nsums:"
for x in [23, 123, 1234, 12345]: print x, cumu(x)[-1] |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #Befunge | Befunge | &&+.@ |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #SNOBOL4 | SNOBOL4 | define('ack(m,n)') :(ack_end)
ack ack = eq(m,0) n + 1 :s(return)
ack = eq(n,0) ack(m - 1,1) :s(return)
ack = ack(m - 1,ack(m,n - 1)) :(return)
ack_end
* # Test and display ack(0,0) .. ack(3,6)
L1 str = str ack(m,n) ' '
n = lt(n,6) n + 1 :s(L1)
output = str; str = ''
n = 0; m = lt(m,3) m + 1 :s(L1)
end |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Delphi | Delphi | program ABC;
{$APPTYPE CONSOLE}
uses SysUtils;
type
TBlock = set of char;
const
TheBlocks : array [0..19] of TBlock =
(
[ 'B', 'O' ], [ 'X', 'K' ], [ 'D', 'Q' ], [ 'C', 'P' ], [ 'N', 'A' ],
[ 'G', 'T' ], [ 'R', 'E' ], [ 'T', 'G' ], [ 'Q', 'D' ], [ 'F', 'S' ],
[ 'J', 'W' ], [ 'H', 'U' ], [ 'V', 'I' ], [ 'A', 'N' ], [ 'O', 'B' ],
[ 'E', 'R' ], [ 'F', 'S' ], [ 'L', 'Y' ], [ 'P', 'C' ], [ 'Z', 'M' ]
);
function SolveABC(Target : string; Blocks : array of TBlock) : boolean;
var
iChr : integer;
Used : array [0..19] of boolean;
function FindUnused(TargetChr : char) : boolean; // Nested routine
var
iBlock : integer;
begin
Result := FALSE;
for iBlock := low(Blocks) to high(Blocks) do
if (not Used[iBlock]) and ( TargetChr in Blocks[iBlock] ) then
begin
Result := TRUE;
Used[iBlock] := TRUE;
Break;
end;
end;
begin
FillChar(Used, sizeof(Used), ord(FALSE));
Result := TRUE;
iChr := 1;
while Result and (iChr <= length(Target)) do
if FindUnused(Target[iChr]) then inc(iChr)
else Result := FALSE;
end;
procedure CheckABC(Target : string);
begin
if SolveABC(uppercase(Target), TheBlocks) then
writeln('Can make ' + Target)
else
writeln('Can NOT make ' + Target);
end;
begin
CheckABC('A');
CheckABC('BARK');
CheckABC('BOOK');
CheckABC('TREAT');
CheckABC('COMMON');
CheckABC('SQUAD');
CheckABC('CONFUSE');
readln;
end.
|
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program prisonniers.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see task include a file in arm assembly */
/************************************/
/* Constantes */
/************************************/
.include "../constantes.inc"
.equ NBDOORS, 100
.equ NBLOOP, 1000
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessResult: .asciz "Random strategie : @ sur 1000 \n"
sMessResultOPT: .asciz "Optimal strategie : @ sur 1000 \n"
szCarriageReturn: .asciz "\n"
.align 4
iGraine: .int 123456
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
tbDoors: .skip 4 * NBDOORS
tbTest: .skip 4 * NBDOORS
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
ldr r1,iAdrtbDoors
mov r2,#0
1: @ loop init doors table
add r3,r2,#1
str r3,[r1,r2,lsl #2]
add r2,r2,#1
cmp r2,#NBDOORS
blt 1b
mov r9,#0 @ loop counter
mov r10,#0 @ counter successes random strategie
mov r11,#0 @ counter successes optimal strategie
2:
ldr r0,iAdrtbDoors
mov r1,#NBDOORS
bl knuthShuffle
ldr r0,iAdrtbDoors
bl aleaStrategie
cmp r0,#NBDOORS
addeq r10,r10,#1
ldr r0,iAdrtbDoors
bl optimaStrategie
cmp r0,#NBDOORS
addeq r11,r11,#1
add r9,r9,#1
cmp r9,#NBLOOP
blt 2b
mov r0,r10 @ result display
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
ldr r0,iAdrsMessResult
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
bl affichageMess
mov r0,r11 @ result display
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
ldr r0,iAdrsMessResultOPT
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
bl affichageMess
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
iAdrsMessResult: .int sMessResult
iAdrsMessResultOPT: .int sMessResultOPT
iAdrtbDoors: .int tbDoors
iAdrtbTest: .int tbTest
iAdrsZoneConv: .int sZoneConv
/******************************************************************/
/* random door test strategy */
/******************************************************************/
/* r0 contains the address of table */
aleaStrategie:
push {r1-r7,lr} @ save registers
ldr r6,iAdrtbTest @ table doors tests address
mov r1,r0 @ save table doors address
mov r4,#0 @ counter number of successes
mov r2,#0 @ prisonners indice
1:
bl razTable @ zero to table doors tests
mov r5,#0 @ counter of door tests
add r7,r2,#1
2:
mov r0,#NBDOORS - 1
bl genereraleas @ random test
add r0,r0,#1
ldr r3,[r6,r0,lsl #2] @ doors also tested ?
cmp r3,#0
bne 2b @ yes
ldr r3,[r1,r0,lsl #2] @ load N° door
cmp r3,r7 @ compar N° door N° prisonner
addeq r4,r4,#1 @ succes
beq 3f
mov r3,#1 @ top test table item
str r3,[r6,r0,lsl #2]
add r5,r5,#1
cmp r5,#NBDOORS / 2 @ number tests maxi ?
blt 2b @ no -> loop
3:
add r2,r2,#1 @ other prisonner
cmp r2,#NBDOORS
blt 1b
mov r0,r4 @ return number of successes
100:
pop {r1-r7,lr}
bx lr @ return
/******************************************************************/
/* raz test table */
/******************************************************************/
razTable:
push {r0-r2,lr} @ save registers
ldr r0,iAdrtbTest
mov r1,#0 @ item indice
mov r2,#0
1:
str r2,[r0,r1,lsl #2] @ store zero à item
add r1,r1,#1
cmp r1,#NBDOORS
blt 1b
100:
pop {r0-r2,lr}
bx lr @ return
/******************************************************************/
/* random door test strategy */
/******************************************************************/
/* r0 contains the address of table */
optimaStrategie:
push {r1-r7,lr} @ save registers
mov r4,#0 @ counter number of successes
mov r2,#0 @ counter prisonner
1:
mov r5,#0 @ counter test
mov r1,r2 @ first test = N° prisonner
2:
ldr r3,[r0,r1,lsl #2] @ load N° door
cmp r3,r2
addeq r4,r4,#1 @ equal -> succes
beq 3f
mov r1,r3 @ new test with N° door
add r5,r5,#1
cmp r5,#NBDOORS / 2 @ test number maxi ?
blt 2b
3:
add r2,r2,#1 @ other prisonner
cmp r2,#NBDOORS
blt 1b
mov r0,r4
100:
pop {r1-r7,lr}
bx lr @ return
/******************************************************************/
/* knuth Shuffle */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the number of elements */
knuthShuffle:
push {r2-r5,lr} @ save registers
mov r5,r0 @ save table address
mov r2,#0 @ start index
1:
mov r0,r2 @ generate aleas
bl genereraleas
ldr r3,[r5,r2,lsl #2] @ swap number on the table
ldr r4,[r5,r0,lsl #2]
str r4,[r5,r2,lsl #2]
str r3,[r5,r0,lsl #2]
add r2,#1 @ next number
cmp r2,r1 @ end ?
blt 1b @ no -> loop
100:
pop {r2-r5,lr}
bx lr @ return
/***************************************************/
/* Generation random number */
/***************************************************/
/* r0 contains limit */
genereraleas:
push {r1-r4,lr} @ save registers
ldr r4,iAdriGraine
ldr r2,[r4]
ldr r3,iNbDep1
mul r2,r3,r2
ldr r3,iNbDep1
add r2,r2,r3
str r2,[r4] @ maj de la graine pour l appel suivant
cmp r0,#0
beq 100f
mov r1,r0 @ divisor
mov r0,r2 @ dividende
bl division
mov r0,r3 @ résult = remainder
100: @ end function
pop {r1-r4,lr} @ restaur registers
bx lr @ return
/*****************************************************/
iAdriGraine: .int iGraine
iNbDep1: .int 0x343FD
iNbDep2: .int 0x269EC3
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #q | q | s:{c where 0=x mod c:1+til x div 2} / proper divisors
sd:sum s@ / sum of proper divisors
abundant:{x<sd x}
Filter:{y where x each y} |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #Java | Java |
import java.util.Random;
import java.util.Scanner;
public class TwentyOneGame {
public static void main(String[] args) {
new TwentyOneGame().run(true, 21, new int[] {1, 2, 3});
}
public void run(boolean computerPlay, int max, int[] valid) {
String comma = "";
for ( int i = 0 ; i < valid.length ; i++ ) {
comma += valid[i];
if ( i < valid.length - 2 && valid.length >= 3 ) {
comma += ", ";
}
if ( i == valid.length - 2 ) {
comma += " or ";
}
}
System.out.printf("The %d game.%nEach player chooses to add %s to a running total.%n" +
"The player whose turn it is when the total reaches %d will win the game.%n" +
"Winner of the game starts the next game. Enter q to quit.%n%n", max, comma, max);
int cGames = 0;
int hGames = 0;
boolean anotherGame = true;
try (Scanner scanner = new Scanner(System.in);) {
while ( anotherGame ) {
Random r = new Random();
int round = 0;
int total = 0;
System.out.printf("Start game %d%n", hGames + cGames + 1);
DONE:
while ( true ) {
round++;
System.out.printf("ROUND %d:%n%n", round);
for ( int play = 0 ; play < 2 ; play++ ) {
if ( computerPlay ) {
int guess = 0;
// try find one equal
for ( int test : valid ) {
if ( total + test == max ) {
guess = test;
break;
}
}
// try find one greater than
if ( guess == 0 ) {
for ( int test : valid ) {
if ( total + test >= max ) {
guess = test;
break;
}
}
}
if ( guess == 0 ) {
guess = valid[r.nextInt(valid.length)];
}
total += guess;
System.out.printf("The computer chooses %d%n", guess);
System.out.printf("Running total is now %d%n%n", total);
if ( total >= max ) {
break DONE;
}
}
else {
while ( true ) {
System.out.printf("Your choice among %s: ", comma);
String line = scanner.nextLine();
if ( line.matches("^[qQ].*") ) {
System.out.printf("Computer wins %d game%s, human wins %d game%s. One game incomplete.%nQuitting.%n", cGames, cGames == 1 ? "" : "s", hGames, hGames == 1 ? "" : "s");
return;
}
try {
int input = Integer.parseInt(line);
boolean inputOk = false;
for ( int test : valid ) {
if ( input == test ) {
inputOk = true;
break;
}
}
if ( inputOk ) {
total += input;
System.out.printf("Running total is now %d%n%n", total);
if ( total >= max ) {
break DONE;
}
break;
}
else {
System.out.printf("Invalid input - must be a number among %s. Try again.%n", comma);
}
}
catch (NumberFormatException e) {
System.out.printf("Invalid input - must be a number among %s. Try again.%n", comma);
}
}
}
computerPlay = !computerPlay;
}
}
String win;
if ( computerPlay ) {
win = "Computer wins!!";
cGames++;
}
else {
win = "You win and probably had help from another computer!!";
hGames++;
}
System.out.printf("%s%n", win);
System.out.printf("Computer wins %d game%s, human wins %d game%s%n%n", cGames, cGames == 1 ? "" : "s", hGames, hGames == 1 ? "" : "s");
while ( true ) {
System.out.printf("Another game (y/n)? ");
String line = scanner.nextLine();
if ( line.matches("^[yY]$") ) {
// OK
System.out.printf("%n");
break;
}
else if ( line.matches("^[nN]$") ) {
anotherGame = false;
System.out.printf("Quitting.%n");
break;
}
else {
System.out.printf("Invalid input - must be a y or n. Try again.%n");
}
}
}
}
}
}
|
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #Clojure | Clojure | (ns rosettacode.24game.solve
(:require [clojure.math.combinatorics :as c]
[clojure.walk :as w]))
(def ^:private op-maps
(map #(zipmap [:o1 :o2 :o3] %) (c/selections '(* + - /) 3)))
(def ^:private patterns '(
(:o1 (:o2 :n1 :n2) (:o3 :n3 :n4))
(:o1 :n1 (:o2 :n2 (:o3 :n3 :n4)))
(:o1 (:o2 (:o3 :n1 :n2) :n3) :n4)))
(defn play24 [& digits]
{:pre (and (every? #(not= 0 %) digits)
(= (count digits) 4))}
(->> (for [:let [digit-maps
(->> digits sort c/permutations
(map #(zipmap [:n1 :n2 :n3 :n4] %)))]
om op-maps, dm digit-maps]
(w/prewalk-replace dm
(w/prewalk-replace om patterns)))
(filter #(= (eval %) 24))
(map println)
doall
count)) |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Kotlin | Kotlin | // version 1.1.2
class FourSquares(
private val lo: Int,
private val hi: Int,
private val unique: Boolean,
private val show: Boolean
) {
private var a = 0
private var b = 0
private var c = 0
private var d = 0
private var e = 0
private var f = 0
private var g = 0
private var s = 0
init {
println()
if (show) {
println("a b c d e f g")
println("-------------")
}
acd()
println("\n$s ${if (unique) "unique" else "non-unique"} solutions in $lo to $hi")
}
private fun acd() {
c = lo
while (c <= hi) {
d = lo
while (d <= hi) {
if (!unique || c != d) {
a = c + d
if ((a in lo..hi) && (!unique || (c != 0 && d!= 0))) ge()
}
d++
}
c++
}
}
private fun bf() {
f = lo
while (f <= hi) {
if (!unique || (f != a && f != c && f != d && f != e && f!= g)) {
b = e + f - c
if ((b in lo..hi) && (!unique || (b != a && b != c && b != d && b != e && b != f && b!= g))) {
s++
if (show) println("$a $b $c $d $e $f $g")
}
}
f++
}
}
private fun ge() {
e = lo
while (e <= hi) {
if (!unique || (e != a && e != c && e != d)) {
g = d + e
if ((g in lo..hi) && (!unique || (g != a && g != c && g != d && g != e))) bf()
}
e++
}
}
}
fun main(args: Array<String>) {
FourSquares(1, 7, true, true)
FourSquares(3, 9, true, true)
FourSquares(0, 9, false, false)
} |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #ABAP | ABAP | REPORT z99bottles.
DATA lv_no_bottles(2) TYPE n VALUE 99.
DO lv_no_bottles TIMES.
WRITE lv_no_bottles NO-ZERO.
WRITE ' bottles of beer on the wall'.
NEW-LINE.
WRITE lv_no_bottles NO-ZERO.
WRITE ' bottles of beer'.
NEW-LINE.
WRITE 'Take one down, pass it around'.
NEW-LINE.
SUBTRACT 1 FROM lv_no_bottles.
WRITE lv_no_bottles NO-ZERO.
WRITE ' bottles of beer on the wall'.
WRITE /.
ENDDO. |
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #Bracmat | Bracmat | ( 24-game
= m-w m-z 4numbers answer expr numbers
, seed get-random convertBinaryMinusToUnary
, convertDivisionToMultiplication isExpresssion reciprocal
. (seed=.!arg:(~0:~/#?m-w.~0:~/#?m-z))
& seed$!arg
& ( get-random
=
. 36969*mod$(!m-z.65536)+div$(!m-z.65536):?m-z
& 18000*mod$(!m-w.65536)+div$(!m-w.65536):?m-w
& mod$(!m-z*65536+!m-w.9)+1
)
& ( convertBinaryMinusToUnary
= a z
. @(!arg:%?a "-" ?z)
& str$(!a "+-1*" convertBinaryMinusToUnary$!z)
| !arg
)
& (reciprocal=.!arg^-1)
& ( convertDivisionToMultiplication
= a z
. @(!arg:?a "/" ?z)
& str$(!a "*reciprocal$" convertDivisionToMultiplication$!z)
| !arg
)
& ( isExpresssion
= A Z expr
. @( !arg
: ?A
("+"|"-"|"*"|"/")
( ?Z
& isExpresssion$!A
& isExpresssion$!Z
)
)
| !numbers:?A !arg ?Z
& !A !Z:?numbers
| ( @(!arg:"(" ?expr ")")
| @(!arg:(" "|\t) ?expr)
| @(!arg:?expr (" "|\t))
)
& isExpresssion$!expr
)
& out
$ "Enter an expression that evaluates to 24 by combining the following numbers."
& out$"You may only use the operators + - * /"
& out$"Parentheses and spaces are allowed."
& whl
' ( get-random$() get-random$() get-random$() get-random$
: ?4numbers
& out$!4numbers
& whl
' ( get'(,STR):?expr:~
& !4numbers:?numbers
& ~(isExpresssion$!expr&!numbers:)
& out
$ ( str
$ ( "["
!expr
"] is not a valid expression. Try another expression."
)
)
)
& !expr:~
& convertBinaryMinusToUnary$!expr:?expr
& convertDivisionToMultiplication$!expr:?expr
& get$(!expr,MEM):?answer
& out$(str$(!expr " = " !answer))
& !answer
: ( 24&out$Right!
| #&out$Wrong!
)
& out$"Try another one:"
)
& out$bye
)
& 24-game$(13.14)
& ; |
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Racket | Racket | #lang racket
(define (cdr-empty ls) (if (empty? ls) empty (cdr ls)))
(define (names-of n)
(define (names-of-tail ans raws-rest n)
(if (zero? n)
ans
(names-of-tail (cons 1 (append (map +
(take ans (length raws-rest))
(map car raws-rest))
(drop ans (length raws-rest))))
(filter (compose not empty?)
(map cdr-empty (cons ans raws-rest)))
(sub1 n))))
(names-of-tail '() '() n))
(define (G n) (foldl + 0 (names-of n)))
(module+ main
(build-list 25 (compose names-of add1))
(newline)
(map G '(23 123 1234)))
|
http://rosettacode.org/wiki/9_billion_names_of_God_the_integer | 9 billion names of God the integer | This task is a variation of the short story by Arthur C. Clarke.
(Solvers should be aware of the consequences of completing this task.)
In detail, to specify what is meant by a “name”:
The integer 1 has 1 name “1”.
The integer 2 has 2 names “1+1”, and “2”.
The integer 3 has 3 names “1+1+1”, “2+1”, and “3”.
The integer 4 has 5 names “1+1+1+1”, “2+1+1”, “2+2”, “3+1”, “4”.
The integer 5 has 7 names “1+1+1+1+1”, “2+1+1+1”, “2+2+1”, “3+1+1”, “3+2”, “4+1”, “5”.
Task
Display the first 25 rows of a number triangle which begins:
1
1 1
1 1 1
1 2 1 1
1 2 2 1 1
1 3 3 2 1 1
Where row
n
{\displaystyle n}
corresponds to integer
n
{\displaystyle n}
, and each column
C
{\displaystyle C}
in row
m
{\displaystyle m}
from left to right corresponds to the number of names beginning with
C
{\displaystyle C}
.
A function
G
(
n
)
{\displaystyle G(n)}
should return the sum of the
n
{\displaystyle n}
-th row.
Demonstrate this function by displaying:
G
(
23
)
{\displaystyle G(23)}
,
G
(
123
)
{\displaystyle G(123)}
,
G
(
1234
)
{\displaystyle G(1234)}
, and
G
(
12345
)
{\displaystyle G(12345)}
.
Optionally note that the sum of the
n
{\displaystyle n}
-th row
P
(
n
)
{\displaystyle P(n)}
is the integer partition function.
Demonstrate this is equivalent to
G
(
n
)
{\displaystyle G(n)}
by displaying:
P
(
23
)
{\displaystyle P(23)}
,
P
(
123
)
{\displaystyle P(123)}
,
P
(
1234
)
{\displaystyle P(1234)}
, and
P
(
12345
)
{\displaystyle P(12345)}
.
Extra credit
If your environment is able, plot
P
(
n
)
{\displaystyle P(n)}
against
n
{\displaystyle n}
for
n
=
1
…
999
{\displaystyle n=1\ldots 999}
.
Related tasks
Partition function P
| #Raku | Raku | my @todo = $[1];
my @sums = 0;
sub nextrow($n) {
for +@todo .. $n -> $l {
my $r = [];
for reverse ^$l -> $x {
my @x := @todo[$x];
if @x {
$r.push: @sums[$x] += @x.shift;
}
else {
$r.push: @sums[$x];
}
}
@todo.push($r);
}
@todo[$n];
}
say "rows:";
say .fmt('%2d'), ": ", nextrow($_)[] for 1..25;
my @names-of-God = 1, { partition-sum ++$ } … *;
my @names-of-God-adder = lazy [\+] flat 1, ( (1 .. *) Z (1 .. *).map: * × 2 + 1 );
sub partition-sum ($n) {
sum @names-of-God[$n X- @names-of-God-adder[^(@names-of-God-adder.first: * > $n, :k)]]
Z× (flat (1, 1, -1, -1) xx *)
}
say "\nsums:";
for 23, 123, 1234, 12345 {
put $_, "\t", @names-of-God[$_];
} |
http://rosettacode.org/wiki/A%2BB | A+B | A+B ─── a classic problem in programming contests, it's given so contestants can gain familiarity with the online judging system being used.
Task
Given two integers, A and B.
Their sum needs to be calculated.
Input data
Two integers are written in the input stream, separated by space(s):
(
−
1000
≤
A
,
B
≤
+
1000
)
{\displaystyle (-1000\leq A,B\leq +1000)}
Output data
The required output is one integer: the sum of A and B.
Example
input
output
2 2
4
3 2
5
| #Bird | Bird | use Console Math
define Main
$a Console.Read
$b Console.Read
Console.Println Math.Add $a $b
end |
http://rosettacode.org/wiki/Ackermann_function | Ackermann function | The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function. It grows very quickly in value, as does the size of its call tree.
The Ackermann function is usually defined as follows:
A
(
m
,
n
)
=
{
n
+
1
if
m
=
0
A
(
m
−
1
,
1
)
if
m
>
0
and
n
=
0
A
(
m
−
1
,
A
(
m
,
n
−
1
)
)
if
m
>
0
and
n
>
0.
{\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}
Its arguments are never negative and it always terminates.
Task
Write a function which returns the value of
A
(
m
,
n
)
{\displaystyle A(m,n)}
. Arbitrary precision is preferred (since the function grows so quickly), but not required.
See also
Conway chained arrow notation for the Ackermann function.
| #SNUSP | SNUSP | /==!/==atoi=@@@-@-----#
| | Ackermann function
| | /=========\!==\!====\ recursion:
$,@/>,@/==ack=!\?\<+# | | | A(0,j) -> j+1
j i \<?\+>-@/# | | A(i,0) -> A(i-1,1)
\@\>@\->@/@\<-@/# A(i,j) -> A(i-1,A(i,j-1))
| | |
# # | | | /+<<<-\
/-<<+>>\!=/ \=====|==!/========?\>>>=?/<<#
? ? | \<<<+>+>>-/
\>>+<<-/!==========/
# # |
http://rosettacode.org/wiki/ABC_problem | ABC problem | ABC problem
You are encouraged to solve this task according to the task description, using any language you may know.
You are given a collection of ABC blocks (maybe like the ones you had when you were a kid).
There are twenty blocks with two letters on each block.
A complete alphabet is guaranteed amongst all sides of the blocks.
The sample collection of blocks:
(B O)
(X K)
(D Q)
(C P)
(N A)
(G T)
(R E)
(T G)
(Q D)
(F S)
(J W)
(H U)
(V I)
(A N)
(O B)
(E R)
(F S)
(L Y)
(P C)
(Z M)
Task
Write a function that takes a string (word) and determines whether the word can be spelled with the given collection of blocks.
The rules are simple:
Once a letter on a block is used that block cannot be used again
The function should be case-insensitive
Show the output on this page for the following 7 words in the following example
Example
>>> can_make_word("A")
True
>>> can_make_word("BARK")
True
>>> can_make_word("BOOK")
False
>>> can_make_word("TREAT")
True
>>> can_make_word("COMMON")
False
>>> can_make_word("SQUAD")
True
>>> can_make_word("CONFUSE")
True
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
| #Draco | Draco | \util.g
proc nonrec ucase(char c) char:
byte b;
b := pretend(c, byte);
b := b & ~32;
pretend(b, char)
corp
proc nonrec can_make_word(*char w) bool:
[41] char blocks;
word i;
char ch;
bool found, ok;
CharsCopy(&blocks[0], "BOXKDQCPNAGTRETGQDFSJWHUVIANOBERFSLYPCZM");
ok := true;
while
ch := ucase(w*);
w := w + 1;
ok and ch ~= '\e'
do
found := false;
i := 0;
while not found and i < 40 do
if blocks[i] = ch then found := true fi;
i := i + 1;
od;
if found then
i := i - 1;
blocks[i] := '\e';
blocks[i >< 1] := '\e'
else
ok := false
fi
od;
ok
corp
proc nonrec test(*char w) void:
writeln(w, ": ", if can_make_word(w) then "yes" else "no" fi)
corp
proc nonrec main() void:
test("A");
test("BARK");
test("book");
test("treat");
test("CoMmOn");
test("sQuAd");
test("CONFUSE")
corp |
http://rosettacode.org/wiki/100_prisoners | 100 prisoners |
The Problem
100 prisoners are individually numbered 1 to 100
A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.
Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.
Prisoners start outside the room
They can decide some strategy before any enter the room.
Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.
A prisoner can open no more than 50 drawers.
A prisoner tries to find his own number.
A prisoner finding his own number is then held apart from the others.
If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.
The task
Simulate several thousand instances of the game where the prisoners randomly open drawers
Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:
First opening the drawer whose outside number is his prisoner number.
If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).
Show and compare the computed probabilities of success for the two strategies, here, on this page.
References
The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).
wp:100 prisoners problem
100 Prisoners Escape Puzzle DataGenetics.
Random permutation statistics#One hundred prisoners on Wikipedia.
| #AutoHotkey | AutoHotkey | NumOfTrials := 20000
randomFailTotal := 0, strategyFailTotal := 0
prisoners := [], drawers := [], Cards := []
loop, 100
prisoners[A_Index] := A_Index ; create prisoners
, drawers[A_Index] := true ; create drawers
loop, % NumOfTrials
{
loop, 100
Cards[A_Index] := A_Index ; create cards for this iteration
loop, 100
{
Random, rnd, 1, Cards.count()
drawers[A_Index] := Cards.RemoveAt(rnd) ; randomly place cards in drawers
}
;-------------------------------------------
; randomly open drawers
RandomList := []
loop, 100
RandomList[A_Index] := A_Index
Fail := false
while (A_Index <=100) && !Fail
{
thisPrisoner := A_Index
res := ""
while (thisCard <> thisPrisoner) && !Fail
{
Random, rnd, 1, % RandomList.Count() ; choose random number
NextDrawer := RandomList.RemoveAt(rnd) ; remove drawer from random list (don't choose more than once)
thisCard := drawers[NextDrawer] ; get card from this drawer
if (A_Index > 50)
Fail := true
}
if Fail
randomFailTotal++
}
;-------------------------------------------
; use optimal strategy
Fail := false
while (A_Index <=100) && !Fail
{
counter := 1, thisPrisoner := A_Index
NextDrawer := drawers[thisPrisoner] ; 1st trial, drawer whose outside number is prisoner number
while (drawers[NextDrawer] <> thisPrisoner) && !Fail
{
NextDrawer := drawers[NextDrawer] ; drawer with the same number as that of the revealed card
if ++counter > 50
Fail := true
}
if Fail
strategyFailTotal++
}
}
MsgBox % "Number Of Trials = " NumOfTrials
. "`nOptimal Strategy:`t" (1 - strategyFailTotal/NumOfTrials) *100 " % success rate"
. "`nRandom Trials:`t" (1 - randomFailTotal/NumOfTrials) *100 " % success rate" |
http://rosettacode.org/wiki/Abundant_odd_numbers | Abundant odd numbers | An Abundant number is a number n for which the sum of divisors σ(n) > 2n,
or, equivalently, the sum of proper divisors (or aliquot sum) s(n) > n.
E.G.
12 is abundant, it has the proper divisors 1,2,3,4 & 6 which sum to 16 ( > 12 or n);
or alternately, has the sigma sum of 1,2,3,4,6 & 12 which sum to 28 ( > 24 or 2n).
Abundant numbers are common, though even abundant numbers seem to be much more common than odd abundant numbers.
To make things more interesting, this task is specifically about finding odd abundant numbers.
Task
Find and display here: at least the first 25 abundant odd numbers and either their proper divisor sum or sigma sum.
Find and display here: the one thousandth abundant odd number and either its proper divisor sum or sigma sum.
Find and display here: the first abundant odd number greater than one billion (109) and either its proper divisor sum or sigma sum.
References
OEIS:A005231: Odd abundant numbers (odd numbers n whose sum of divisors exceeds 2n)
American Journal of Mathematics, Vol. 35, No. 4 (Oct., 1913), pp. 413-422 - Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors (LE Dickson)
| #Quackery | Quackery | [ 0 swap factors witheach + ] is sigmasum ( n --> n )
0 -1 [ 2 +
dup sigmasum
over 2 * over < iff
[ over echo sp
echo cr
dip 1+ ]
else drop
over 25 = until ]
2drop
cr
0 -1
[ 2 + dup sigmasum
over 2 * > if [ dip 1+ ]
over 1000 = until ]
dup echo sp sigmasum echo cr
drop
cr
999999999
[ 2 + dup sigmasum
over 2 * > until ]
dup echo sp sigmasum echo cr |
http://rosettacode.org/wiki/21_game | 21 game | 21 game
You are encouraged to solve this task according to the task description, using any language you may know.
21 is a two player game, the game is played by choosing
a number (1, 2, or 3) to be added to the running total.
The game is won by the player whose chosen number causes the running total
to reach exactly 21.
The running total starts at zero.
One player will be the computer.
Players alternate supplying a number to be added to the running total.
Task
Write a computer program that will:
do the prompting (or provide a button menu),
check for errors and display appropriate error messages,
do the additions (add a chosen number to the running total),
display the running total,
provide a mechanism for the player to quit/exit/halt/stop/close the program,
issue a notification when there is a winner, and
determine who goes first (maybe a random or user choice, or can be specified when the game begins).
| #JavaScript | JavaScript | <!DOCTYPE html><html lang="en">
<head>
<meta charset="UTF-8">
<meta name="keywords" content="Game 21">
<meta name="description" content="
21 is a two player game, the game is played by choosing a number
(1, 2, or 3) to be added to the running total. The game is won by
the player whose chosen number causes the running total to reach
exactly 21. The running total starts at zero.
">
<!--DCMI metadata (Dublin Core Metadata Initiative)-->
<meta name="dc.publisher" content="Rosseta Code">
<meta name="dc.date" content="2020-07-23">
<meta name="dc.created" content="2020-07-23">
<meta name="dc.modified" content="2020-07-30">
<title>
21 Game
</title>
<!-- Remove the line below in the final/production version. -->
<meta http-equiv="cache-control" content="no-cache">
<style>
.ui div { width: 50%; display: inline-flex; justify-content: flex-end; }
div.total { margin-bottom: 1ch; }
label { padding-right: 1ch; }
button + button { margin-left: 1em; }
</style>
</head>
<body>
<h1>
21 Game in ECMA Script (Java Script)
</h1>
<p>
21 is a two player game, the game is played by choosing a number
(1, 2, or 3) to be added to the running total. The game is won by
the player whose chosen number causes the running total to reach
exactly 21. The running total starts at zero.
</p>
<p><span id="first"></span> Use buttons to play.</p>
<div class="ui">
<div class="total">
<label for="human">human last choice:</label>
<input type="text" id="human" readonly>
</div>
<div class="total">
<label for="AI">AI last choice:</label>
<input type="text" id="AI" readonly>
</div>
<div class="total">
<label for="runningTotalText">running total:</label>
<input type="text" id="runningTotalText" readonly>
</div>
<div class="buttons">
<button onclick="choice(1);" id="choice1"> one </button>
<button onclick="choice(2);" id="choice2"> two </button>
<button onclick="choice(3);" id="choice3"> three </button>
<button onclick="restart();"> restart </button>
</div>
</div>
<p id="message"></p>
<noscript>
No script, no fun. Turn on Javascript on.
</noscript>
<script>
// I really dislike global variables, but in any (?) WWW browser the global
// variables are in the window (separately for each tab) context space.
//
var runningTotal = 0;
const human = document.getElementById('human');
const AI = document.getElementById('AI');
const runningTotalText = document.getElementById('runningTotalText');
const first = document.getElementById('first')
const message = document.getElementById('message');
const choiceButtons = new Array(3);
// An function to restart game in any time, should be called as a callback
// from the WWW page, see above for an example.
//
function restart()
{
runningTotal = 0;
runningTotalText.value = runningTotal;
human.value = '';
AI.value = '';
for (let i = 1; i <= 3; i++)
{
let button = document.getElementById('choice' + i);
button.disabled = false;
choiceButtons[i] = button;
}
message.innerText = '';
if (Math.random() > 0.5)
{
update(AI, ai());
first.innerText = 'The first move is AI move.'
}
else
first.innerText = 'The first move is human move.'
}
// This function update an (read-only for a user) two text boxes
// as well as runningTotal. It should be called only once per a move/turn.
//
function update(textBox, n)
{
textBox.value = n;
runningTotal = runningTotal + n;
runningTotalText.value = runningTotal;
for (let i = 1; i <= 3; i++)
if (runningTotal + i > 21)
choiceButtons[i].disabled = true;
}
// An callback function called when the human player click the button.
//
function choice(n)
{
update(human, n);
if (runningTotal == 21)
message.innerText = 'The winner is human.';
else
{
update(AI, ai());
if (runningTotal == 21)
message.innerText = 'The winner is AI.';
}
}
// A rather simple function to calculate a computer move for the given total.
//
function ai()
{
for (let i = 1; i <= 3; i++)
if (runningTotal + i == 21)
return i;
for (let i = 1; i <= 3; i++)
if ((runningTotal + i - 1) % 4 == 0)
return i;
return 1;
}
// Run the script - actually this part do only some initialization, because
// the game is interactively driven by events from an UI written in HTML.
//
restart();
</script>
</body>
</html> |
http://rosettacode.org/wiki/24_game/Solve | 24 game/Solve | task
Write a program that takes four digits, either from user input or by random generation, and computes arithmetic expressions following the rules of the 24 game.
Show examples of solutions generated by the program.
Related task
Arithmetic Evaluator
| #COBOL | COBOL | >>SOURCE FORMAT FREE
*> This code is dedicated to the public domain
*> This is GNUCobol 2.0
identification division.
program-id. twentyfoursolve.
environment division.
configuration section.
repository. function all intrinsic.
input-output section.
file-control.
select count-file
assign to count-file-name
file status count-file-status
organization line sequential.
data division.
file section.
fd count-file.
01 count-record pic x(7).
working-storage section.
01 count-file-name pic x(64) value 'solutioncounts'.
01 count-file-status pic xx.
01 command-area.
03 nd pic 9.
03 number-definition.
05 n occurs 4 pic 9.
03 number-definition-9 redefines number-definition
pic 9(4).
03 command-input pic x(16).
03 command pic x(5).
03 number-count pic 9999.
03 l1 pic 99.
03 l2 pic 99.
03 expressions pic zzz,zzz,zz9.
01 number-validation.
03 px pic 99.
03 permutations value
'1234'
& '1243'
& '1324'
& '1342'
& '1423'
& '1432'
& '2134'
& '2143'
& '2314'
& '2341'
& '2413'
& '2431'
& '3124'
& '3142'
& '3214'
& '3241'
& '3423'
& '3432'
& '4123'
& '4132'
& '4213'
& '4231'
& '4312'
& '4321'.
05 permutation occurs 24 pic x(4).
03 cpx pic 9.
03 current-permutation pic x(4).
03 od1 pic 9.
03 od2 pic 9.
03 od3 pic 9.
03 operator-definitions pic x(4) value '+-*/'.
03 cox pic 9.
03 current-operators pic x(3).
03 rpn-forms value
'nnonono'
& 'nnonnoo'
& 'nnnonoo'
& 'nnnoono'
& 'nnnnooo'.
05 rpn-form occurs 5 pic x(7).
03 rpx pic 9.
03 current-rpn-form pic x(7).
01 calculation-area.
03 oqx pic 99.
03 output-queue pic x(7).
03 work-number pic s9999.
03 top-numerator pic s9999 sign leading separate.
03 top-denominator pic s9999 sign leading separate.
03 rsx pic 9.
03 result-stack occurs 8.
05 numerator pic s9999.
05 denominator pic s9999.
03 divide-by-zero-error pic x.
01 totals.
03 s pic 999.
03 s-lim pic 999 value 600.
03 s-max pic 999 value 0.
03 solution occurs 600 pic x(7).
03 sc pic 999.
03 sc1 pic 999.
03 sc2 pic 9.
03 sc-max pic 999 value 0.
03 sc-lim pic 999 value 600.
03 solution-counts value zeros.
05 solution-count occurs 600 pic 999.
03 ns pic 9999.
03 ns-max pic 9999 value 0.
03 ns-lim pic 9999 value 6561.
03 number-solutions occurs 6561.
05 ns-number pic x(4).
05 ns-count pic 999.
03 record-counts pic 9999.
03 total-solutions pic 9999.
01 infix-area.
03 i pic 9.
03 i-s pic 9.
03 i-s1 pic 9.
03 i-work pic x(16).
03 i-stack occurs 7 pic x(13).
procedure division.
start-twentyfoursolve.
display 'start twentyfoursolve'
perform display-instructions
perform get-command
perform until command-input = spaces
display space
initialize command number-count
unstring command-input delimited by all space
into command number-count
move command-input to number-definition
move spaces to command-input
evaluate command
when 'h'
when 'help'
perform display-instructions
when 'list'
if ns-max = 0
perform load-solution-counts
end-if
perform list-counts
when 'show'
if ns-max = 0
perform load-solution-counts
end-if
perform show-numbers
when other
if number-definition-9 not numeric
display 'invalid number'
else
perform get-solutions
perform display-solutions
end-if
end-evaluate
if command-input = spaces
perform get-command
end-if
end-perform
display 'exit twentyfoursolve'
stop run
.
display-instructions.
display space
display 'enter a number <n> as four integers from 1-9 to see its solutions'
display 'enter list to see counts of solutions for all numbers'
display 'enter show <n> to see numbers having <n> solutions'
display '<enter> ends the program'
.
get-command.
display space
move spaces to command-input
display '(h for help)?' with no advancing
accept command-input
.
ask-for-more.
display space
move 0 to l1
add 1 to l2
if l2 = 10
display 'more (<enter>)?' with no advancing
accept command-input
move 0 to l2
end-if
.
list-counts.
add 1 to sc-max giving sc
display 'there are ' sc ' solution counts'
display space
display 'solutions/numbers'
move 0 to l1
move 0 to l2
perform varying sc from 1 by 1 until sc > sc-max
or command-input <> spaces
if solution-count(sc) > 0
subtract 1 from sc giving sc1 *> offset to capture zero counts
display sc1 '/' solution-count(sc) space with no advancing
add 1 to l1
if l1 = 8
perform ask-for-more
end-if
end-if
end-perform
if l1 > 0
display space
end-if
.
show-numbers. *> with number-count solutions
add 1 to number-count giving sc1 *> offset for zero count
evaluate true
when number-count >= sc-max
display 'no number has ' number-count ' solutions'
exit paragraph
when solution-count(sc1) = 1 and number-count = 1
display '1 number has 1 solution'
when solution-count(sc1) = 1
display '1 number has ' number-count ' solutions'
when number-count = 1
display solution-count(sc1) ' numbers have 1 solution'
when other
display solution-count(sc1) ' numbers have ' number-count ' solutions'
end-evaluate
display space
move 0 to l1
move 0 to l2
perform varying ns from 1 by 1 until ns > ns-max
or command-input <> spaces
if ns-count(ns) = number-count
display ns-number(ns) space with no advancing
add 1 to l1
if l1 = 14
perform ask-for-more
end-if
end-if
end-perform
if l1 > 0
display space
end-if
.
display-solutions.
evaluate s-max
when 0 display number-definition ' has no solutions'
when 1 display number-definition ' has 1 solution'
when other display number-definition ' has ' s-max ' solutions'
end-evaluate
display space
move 0 to l1
move 0 to l2
perform varying s from 1 by 1 until s > s-max
or command-input <> spaces
*> convert rpn solution(s) to infix
move 0 to i-s
perform varying i from 1 by 1 until i > 7
if solution(s)(i:1) >= '1' and <= '9'
add 1 to i-s
move solution(s)(i:1) to i-stack(i-s)
else
subtract 1 from i-s giving i-s1
move spaces to i-work
string '(' i-stack(i-s1) solution(s)(i:1) i-stack(i-s) ')'
delimited by space into i-work
move i-work to i-stack(i-s1)
subtract 1 from i-s
end-if
end-perform
display solution(s) space i-stack(1) space space with no advancing
add 1 to l1
if l1 = 3
perform ask-for-more
end-if
end-perform
if l1 > 0
display space
end-if
.
load-solution-counts.
move 0 to ns-max *> numbers and their solution count
move 0 to sc-max *> solution counts
move spaces to count-file-status
open input count-file
if count-file-status <> '00'
perform create-count-file
move 0 to ns-max *> numbers and their solution count
move 0 to sc-max *> solution counts
open input count-file
end-if
read count-file
move 0 to record-counts
move zeros to solution-counts
perform until count-file-status <> '00'
add 1 to record-counts
perform increment-ns-max
move count-record to number-solutions(ns-max)
add 1 to ns-count(ns-max) giving sc *> offset 1 for zero counts
if sc > sc-lim
display 'sc ' sc ' exceeds sc-lim ' sc-lim
stop run
end-if
if sc > sc-max
move sc to sc-max
end-if
add 1 to solution-count(sc)
read count-file
end-perform
close count-file
.
create-count-file.
open output count-file
display 'Counting solutions for all numbers'
display 'We will examine 9*9*9*9 numbers'
display 'For each number we will examine 4! permutations of the digits'
display 'For each permutation we will examine 4*4*4 combinations of operators'
display 'For each permutation and combination we will examine 5 rpn forms'
display 'We will count the number of unique solutions for the given number'
display 'Each number and its counts will be written to file ' trim(count-file-name)
compute expressions = 9*9*9*9*factorial(4)*4*4*4*5
display 'So we will evaluate ' trim(expressions) ' statements'
display 'This will take a few minutes'
display 'In the future if ' trim(count-file-name) ' exists, this step will be bypassed'
move 0 to record-counts
move 0 to total-solutions
perform varying n(1) from 1 by 1 until n(1) = 0
perform varying n(2) from 1 by 1 until n(2) = 0
display n(1) n(2) '..' *> show progress
perform varying n(3) from 1 by 1 until n(3) = 0
perform varying n(4) from 1 by 1 until n(4) = 0
perform get-solutions
perform increment-ns-max
move number-definition to ns-number(ns-max)
move s-max to ns-count(ns-max)
move number-solutions(ns-max) to count-record
write count-record
add s-max to total-solutions
add 1 to record-counts
add 1 to ns-count(ns-max) giving sc *> offset by 1 for zero counts
if sc > sc-lim
display 'error: ' sc ' solution count exceeds ' sc-lim
stop run
end-if
add 1 to solution-count(sc)
end-perform
end-perform
end-perform
end-perform
close count-file
display record-counts ' numbers and counts written to ' trim(count-file-name)
display total-solutions ' total solutions'
display space
.
increment-ns-max.
if ns-max >= ns-lim
display 'error: numbers exceeds ' ns-lim
stop run
end-if
add 1 to ns-max
.
get-solutions.
move 0 to s-max
perform varying px from 1 by 1 until px > 24
move permutation(px) to current-permutation
perform varying od1 from 1 by 1 until od1 > 4
move operator-definitions(od1:1) to current-operators(1:1)
perform varying od2 from 1 by 1 until od2 > 4
move operator-definitions(od2:1) to current-operators(2:1)
perform varying od3 from 1 by 1 until od3 > 4
move operator-definitions(od3:1) to current-operators(3:1)
perform varying rpx from 1 by 1 until rpx > 5
move rpn-form(rpx) to current-rpn-form
move 0 to cpx cox
move spaces to output-queue
perform varying oqx from 1 by 1 until oqx > 7
if current-rpn-form(oqx:1) = 'n'
add 1 to cpx
move current-permutation(cpx:1) to nd
move n(nd) to output-queue(oqx:1)
else
add 1 to cox
move current-operators(cox:1) to output-queue(oqx:1)
end-if
end-perform
perform evaluate-rpn
if divide-by-zero-error = space
and 24 * top-denominator = top-numerator
perform varying s from 1 by 1 until s > s-max
or solution(s) = output-queue
continue
end-perform
if s > s-max
if s >= s-lim
display 'error: solutions ' s ' for ' number-definition ' exceeds ' s-lim
stop run
end-if
move s to s-max
move output-queue to solution(s-max)
end-if
end-if
end-perform
end-perform
end-perform
end-perform
end-perform
.
evaluate-rpn.
move space to divide-by-zero-error
move 0 to rsx *> stack depth
perform varying oqx from 1 by 1 until oqx > 7
if output-queue(oqx:1) >= '1' and <= '9'
*> push the digit onto the stack
add 1 to rsx
move top-numerator to numerator(rsx)
move top-denominator to denominator(rsx)
move output-queue(oqx:1) to top-numerator
move 1 to top-denominator
else
*> apply the operation
evaluate output-queue(oqx:1)
when '+'
compute top-numerator = top-numerator * denominator(rsx)
+ top-denominator * numerator(rsx)
compute top-denominator = top-denominator * denominator(rsx)
when '-'
compute top-numerator = top-denominator * numerator(rsx)
- top-numerator * denominator(rsx)
compute top-denominator = top-denominator * denominator(rsx)
when '*'
compute top-numerator = top-numerator * numerator(rsx)
compute top-denominator = top-denominator * denominator(rsx)
when '/'
compute work-number = numerator(rsx) * top-denominator
compute top-denominator = denominator(rsx) * top-numerator
if top-denominator = 0
move 'y' to divide-by-zero-error
exit paragraph
end-if
move work-number to top-numerator
end-evaluate
*> pop the stack
subtract 1 from rsx
end-if
end-perform
.
end program twentyfoursolve. |
http://rosettacode.org/wiki/4-rings_or_4-squares_puzzle | 4-rings or 4-squares puzzle | 4-rings or 4-squares puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
Task
Replace a, b, c, d, e, f, and
g with the decimal
digits LOW ───► HIGH
such that the sum of the letters inside of each of the four large squares add up to
the same sum.
╔══════════════╗ ╔══════════════╗
║ ║ ║ ║
║ a ║ ║ e ║
║ ║ ║ ║
║ ┌───╫──────╫───┐ ┌───╫─────────┐
║ │ ║ ║ │ │ ║ │
║ │ b ║ ║ d │ │ f ║ │
║ │ ║ ║ │ │ ║ │
║ │ ║ ║ │ │ ║ │
╚══════════╪═══╝ ╚═══╪══════╪═══╝ │
│ c │ │ g │
│ │ │ │
│ │ │ │
└──────────────┘ └─────────────┘
Show all output here.
Show all solutions for each letter being unique with
LOW=1 HIGH=7
Show all solutions for each letter being unique with
LOW=3 HIGH=9
Show only the number of solutions when each letter can be non-unique
LOW=0 HIGH=9
Related task
Solve the no connection puzzle
| #Lua | Lua | function valid(unique,needle,haystack)
if unique then
for _,value in pairs(haystack) do
if needle == value then
return false
end
end
end
return true
end
function fourSquare(low,high,unique,prnt)
count = 0
if prnt then
print("a", "b", "c", "d", "e", "f", "g")
end
for a=low,high do
for b=low,high do
if valid(unique, a, {b}) then
fp = a + b
for c=low,high do
if valid(unique, c, {a, b}) then
for d=low,high do
if valid(unique, d, {a, b, c}) and fp == b + c + d then
for e=low,high do
if valid(unique, e, {a, b, c, d}) then
for f=low,high do
if valid(unique, f, {a, b, c, d, e}) and fp == d + e + f then
for g=low,high do
if valid(unique, g, {a, b, c, d, e, f}) and fp == f + g then
count = count + 1
if prnt then
print(a, b, c, d, e, f, g)
end
end
end
end
end
end
end
end
end
end
end
end
end
end
if unique then
print(string.format("There are %d unique solutions in [%d, %d]", count, low, high))
else
print(string.format("There are %d non-unique solutions in [%d, %d]", count, low, high))
end
end
fourSquare(1,7,true,true)
fourSquare(3,9,true,true)
fourSquare(0,9,false,false) |
http://rosettacode.org/wiki/99_bottles_of_beer | 99 bottles of beer | Task
Display the complete lyrics for the song: 99 Bottles of Beer on the Wall.
The beer song
The lyrics follow this form:
99 bottles of beer on the wall
99 bottles of beer
Take one down, pass it around
98 bottles of beer on the wall
98 bottles of beer on the wall
98 bottles of beer
Take one down, pass it around
97 bottles of beer on the wall
... and so on, until reaching 0 (zero).
Grammatical support for 1 bottle of beer is optional.
As with any puzzle, try to do it in as creative/concise/comical a way
as possible (simple, obvious solutions allowed, too).
Other tasks related to string operations:
Metrics
Array length
String length
Copy a string
Empty string (assignment)
Counting
Word frequency
Letter frequency
Jewels and stones
I before E except after C
Bioinformatics/base count
Count occurrences of a substring
Count how many vowels and consonants occur in a string
Remove/replace
XXXX redacted
Conjugate a Latin verb
Remove vowels from a string
String interpolation (included)
Strip block comments
Strip comments from a string
Strip a set of characters from a string
Strip whitespace from a string -- top and tail
Strip control codes and extended characters from a string
Anagrams/Derangements/shuffling
Word wheel
ABC problem
Sattolo cycle
Knuth shuffle
Ordered words
Superpermutation minimisation
Textonyms (using a phone text pad)
Anagrams
Anagrams/Deranged anagrams
Permutations/Derangements
Find/Search/Determine
ABC words
Odd words
Word ladder
Semordnilap
Word search
Wordiff (game)
String matching
Tea cup rim text
Alternade words
Changeable words
State name puzzle
String comparison
Unique characters
Unique characters in each string
Extract file extension
Levenshtein distance
Palindrome detection
Common list elements
Longest common suffix
Longest common prefix
Compare a list of strings
Longest common substring
Find common directory path
Words from neighbour ones
Change e letters to i in words
Non-continuous subsequences
Longest common subsequence
Longest palindromic substrings
Longest increasing subsequence
Words containing "the" substring
Sum of the digits of n is substring of n
Determine if a string is numeric
Determine if a string is collapsible
Determine if a string is squeezable
Determine if a string has all unique characters
Determine if a string has all the same characters
Longest substrings without repeating characters
Find words which contains all the vowels
Find words which contains most consonants
Find words which contains more than 3 vowels
Find words which first and last three letters are equals
Find words which odd letters are consonants and even letters are vowels or vice_versa
Formatting
Substring
Rep-string
Word wrap
String case
Align columns
Literals/String
Repeat a string
Brace expansion
Brace expansion using ranges
Reverse a string
Phrase reversals
Comma quibbling
Special characters
String concatenation
Substring/Top and tail
Commatizing numbers
Reverse words in a string
Suffixation of decimal numbers
Long literals, with continuations
Numerical and alphabetical suffixes
Abbreviations, easy
Abbreviations, simple
Abbreviations, automatic
Song lyrics/poems/Mad Libs/phrases
Mad Libs
Magic 8-ball
99 Bottles of Beer
The Name Game (a song)
The Old lady swallowed a fly
The Twelve Days of Christmas
Tokenize
Text between
Tokenize a string
Word break problem
Tokenize a string with escaping
Split a character string based on change of character
Sequences
Show ASCII table
De Bruijn sequences
Self-referential sequences
Generate lower case ASCII alphabet
See also
http://99-bottles-of-beer.net/
Category:99_Bottles_of_Beer
Category:Programming language families
Wikipedia 99 bottles of beer
| #ACL2 | ACL2 | PROC Bottles(BYTE i)
IF i=0 THEN
Print("No more")
ELSE
PrintB(i)
FI
Print(" bottle")
IF i#1 THEN
Print("s")
FI
RETURN
PROC Main()
BYTE i=[99]
WHILE i>0
DO
Bottles(i) PrintE(" of beer on the wall,")
Bottles(i) PrintE(" of beer,")
Print("Take ")
IF i>1 THEN
Print("one")
ELSE
Print("it")
FI
PrintE(" down and pass it around,")
i==-1
Bottles(i) PrintE(" of beer on the wall.")
IF i>0 THEN
PutE()
FI
OD
RETURN |
http://rosettacode.org/wiki/24_game | 24 game | The 24 Game tests one's mental arithmetic.
Task
Write a program that randomly chooses and displays four digits, each from 1 ──► 9 (inclusive) with repetitions allowed.
The program should prompt for the player to enter an arithmetic expression using just those, and all of those four digits, used exactly once each. The program should check then evaluate the expression.
The goal is for the player to enter an expression that (numerically) evaluates to 24.
Only the following operators/functions are allowed: multiplication, division, addition, subtraction
Division should use floating point or rational arithmetic, etc, to preserve remainders.
Brackets are allowed, if using an infix expression evaluator.
Forming multiple digit numbers from the supplied digits is disallowed. (So an answer of 12+12 when given 1, 2, 2, and 1 is wrong).
The order of the digits when given does not have to be preserved.
Notes
The type of expression evaluator used is not mandated. An RPN evaluator is equally acceptable for example.
The task is not for the program to generate the expression, or test whether an expression is even possible.
Related tasks
24 game/Solve
Reference
The 24 Game on h2g2.
| #C | C | #include <stdio.h>
#include <ctype.h>
#include <stdlib.h>
#include <setjmp.h>
#include <time.h>
jmp_buf ctx;
const char *msg;
enum { OP_NONE = 0, OP_NUM, OP_ADD, OP_SUB, OP_MUL, OP_DIV };
typedef struct expr_t *expr, expr_t;
struct expr_t {
int op, val, used;
expr left, right;
};
#define N_DIGITS 4
expr_t digits[N_DIGITS];
void gen_digits()
{
int i;
for (i = 0; i < N_DIGITS; i++)
digits[i].val = 1 + rand() % 9;
}
#define MAX_INPUT 64
char str[MAX_INPUT];
int pos;
#define POOL_SIZE 8
expr_t pool[POOL_SIZE];
int pool_ptr;
void reset()
{
int i;
msg = 0;
pool_ptr = pos = 0;
for (i = 0; i < POOL_SIZE; i++) {
pool[i].op = OP_NONE;
pool[i].left = pool[i].right = 0;
}
for (i = 0; i < N_DIGITS; i++)
digits[i].used = 0;
}
/* longish jumpish back to input cycle */
void bail(const char *s)
{
msg = s;
longjmp(ctx, 1);
}
expr new_expr()
{
if (pool_ptr < POOL_SIZE)
return pool + pool_ptr++;
return 0;
}
/* check next input char */
int next_tok()
{
while (isspace(str[pos])) pos++;
return str[pos];
}
/* move input pointer forward */
int take()
{
if (str[pos] != '\0') return ++pos;
return 0;
}
/* BNF(ish)
expr = term { ("+")|("-") term }
term = fact { ("*")|("/") expr }
fact = number
| '(' expr ')'
*/
expr get_fact();
expr get_term();
expr get_expr();
expr get_expr()
{
int c;
expr l, r, ret;
if (!(ret = get_term())) bail("Expected term");
while ((c = next_tok()) == '+' || c == '-') {
if (!take()) bail("Unexpected end of input");
if (!(r = get_term())) bail("Expected term");
l = ret;
ret = new_expr();
ret->op = (c == '+') ? OP_ADD : OP_SUB;
ret->left = l;
ret->right = r;
}
return ret;
}
expr get_term()
{
int c;
expr l, r, ret;
ret = get_fact();
while((c = next_tok()) == '*' || c == '/') {
if (!take()) bail("Unexpected end of input");
r = get_fact();
l = ret;
ret = new_expr();
ret->op = (c == '*') ? OP_MUL : OP_DIV;
ret->left = l;
ret->right = r;
}
return ret;
}
expr get_digit()
{
int i, c = next_tok();
expr ret;
if (c >= '0' && c <= '9') {
take();
ret = new_expr();
ret->op = OP_NUM;
ret->val = c - '0';
for (i = 0; i < N_DIGITS; i++)
if (digits[i].val == ret->val && !digits[i].used) {
digits[i].used = 1;
return ret;
}
bail("Invalid digit");
}
return 0;
}
expr get_fact()
{
int c;
expr l = get_digit();
if (l) return l;
if ((c = next_tok()) == '(') {
take();
l = get_expr();
if (next_tok() != ')') bail("Unbalanced parens");
take();
return l;
}
return 0;
}
expr parse()
{
int i;
expr ret = get_expr();
if (next_tok() != '\0')
bail("Trailing garbage");
for (i = 0; i < N_DIGITS; i++)
if (!digits[i].used)
bail("Not all digits are used");
return ret;
}
typedef struct frac_t frac_t, *frac;
struct frac_t { int denom, num; };
int gcd(int m, int n)
{
int t;
while (m) {
t = m; m = n % m; n = t;
}
return n;
}
/* evaluate expression tree. result in fraction form */
void eval_tree(expr e, frac res)
{
frac_t l, r;
int t;
if (e->op == OP_NUM) {
res->num = e->val;
res->denom = 1;
return;
}
eval_tree(e->left, &l);
eval_tree(e->right, &r);
switch(e->op) {
case OP_ADD:
res->num = l.num * r.denom + l.denom * r.num;
res->denom = l.denom * r.denom;
break;
case OP_SUB:
res->num = l.num * r.denom - l.denom * r.num;
res->denom = l.denom * r.denom;
break;
case OP_MUL:
res->num = l.num * r.num;
res->denom = l.denom * r.denom;
break;
case OP_DIV:
res->num = l.num * r.denom;
res->denom = l.denom * r.num;
break;
}
if ((t = gcd(res->denom, res->num))) {
res->denom /= t;
res->num /= t;
}
}
void get_input()
{
int i;
reinput:
reset();
printf("\nAvailable digits are:");
for (i = 0; i < N_DIGITS; i++)
printf(" %d", digits[i].val);
printf(". Type an expression and I'll check it for you, or make new numbers.\n"
"Your choice? [Expr/n/q] ");
while (1) {
for (i = 0; i < MAX_INPUT; i++) str[i] = '\n';
fgets(str, MAX_INPUT, stdin);
if (*str == '\0') goto reinput;
if (str[MAX_INPUT - 1] != '\n')
bail("string too long");
for (i = 0; i < MAX_INPUT; i++)
if (str[i] == '\n') str[i] = '\0';
if (str[0] == 'q') {
printf("Bye\n");
exit(0);
}
if (str[0] == 'n') {
gen_digits();
goto reinput;
}
return;
}
}
int main()
{
frac_t f;
srand(time(0));
gen_digits();
while(1) {
get_input();
setjmp(ctx); /* if parse error, jump back here with err msg set */
if (msg) {
/* after error jump; announce, reset, redo */
printf("%s at '%.*s'\n", msg, pos, str);
continue;
}
eval_tree(parse(), &f);
if (f.denom == 0) bail("Divide by zero");
if (f.denom == 1 && f.num == 24)
printf("You got 24. Very good.\n");
else {
if (f.denom == 1)
printf("Eval to: %d, ", f.num);
else
printf("Eval to: %d/%d, ", f.num, f.denom);
printf("no good. Try again.\n");
}
}
return 0;
} |
Subsets and Splits