 p must remove k-stones first if possible, at some point, after each player has removed k-stones n-times we will be left with heaps with each less than k-stones, possibly even empty.
Example:
$h1$ has 5 stones, $h2$ has 4 and $h3$ has 7 ($<5, 4, 7>$); each player will remove 3 stones per turn:

p1 starts, removes 3 stones from $h1$: $<2, 4, 7>$
p2's turn, removes 3 stones from $h2$: $<2, 1, 7>$
p1's turn, removes 3 stones from $h3$: $<2, 1, 4>$
p2's turn, removes 3 stones from $h3$: $<2, 1, 1>$
p1's turn, removes 2 stones from $h1$: $<0, 1, 1>$
p2's turn, removes 1 stone, smelling victory, from $h2$: $<0, 0, 1>$
p1's turn, removes 1 stone from $h3$: $<0, 0, 0>$
p2 wins.

Given a situation in which the remaining heaps are, for example, $<4, 5, 6>$, and they may now remove how many stones they desire, what would be the optimal play for both of them?

A:

Once all the heaps are below $k$ you are playing standard Nim and should use the usual strategy.  In the $4,5,6$ case, the XOR of the three is $7$ and you should remove one stone from the $4$ heap, $3$ from the $5$ heap, or $5$ from the $6$ heap.  For the whole game, you just count the parity of the number of $k$ moves that can be made because the order they are made doesn't matter.  That tells you who goes first in the Nim game with all heaps less than $k$.

 Q:

Jtable and MySql

I'm getting and error when i'm try to do the below coding. I can't understand the this netbeans error. The error is as follows.
Mar 21, 2013 2:28:19 AM timetable.generator.JFTTGenerator6 jButton2ActionPerformed
SEVERE: null
java.sql.SQLException: Before
p must remove k - stones foremost if potential, at some period, after each player has removed k - stone n - times we will be left with bus with each less than kilobyte - stones, possibly even empty. 
 model: 
 $ h1 $ has 5 stones, $ h2 $ suffer 4 and $ h3 $ has 7 ($ < 5, 4, 7>$); each actor will absent 3 stones per turn: 

 p1 starts, removes 3 stones from $ h1 $: $ < 2, 4, 7>$ 
 p2's bend, removes 3 stones from $ h2 $: $ < 2, 1, 7>$ 
 p1's turn, take out 3 stones from $ h3 $: $ < 2, 1, 4>$ 
 p2's turn, removes 3 stones from $ h3 $: $ < 2, 1, 1>$ 
 p1's bend, removes 2 stones from $ h1 $: $ < 0, 1, 1>$ 
 p2's turn, removes 1 stone, smell victory, from $ h2 $: $ < 0, 0, 1>$ 
 p1's turn, removes 1 stone from $ h3 $: $ < 0, 0, 0>$ 
 p2 wins. 

 Given a site in which the remaining heaps are, for example, $ < 4, 5, 6>$, and they may now remove how many stones they desire, what would be the optimal play for both of them? 

 A: 

 Once all the heaps are below $ k$ you are act standard Nim and should use the common scheme.   In the $ 4,5,6 $ case, the XOR of the three is $ 7 $ and you should remove one stone from the $ 4 $ heap, $ 3 $ from the $ 5 $ bus, or $ 5 $ from the $ 6 $ heap.   For the whole game, you just consider the parity of the number of $ k$ moves that can be made because the order they are made doesn't count.   That tells you who goes first in the Nim game with all heaps less than $ k$. 

  Q: 

 Jtable and MySql 

 I'm getting and error when i'm try on to do the below coding. I can't understand the this netbeans error. The error is as follow. 
 Mar 21, 2013 2:28:19 AM timetable.generator. JFTTGenerator6 jButton2ActionPerformed 
 SEVERE: null 
 java.sql. SQLException: Before
 p lust remove k-stones firsu if possible, at some pomnt, aftsr each olayer has removed k-stones n-vimew we qill be left with heapr with eabh less tyan j-wtones, possibly evcu empfn.
Exam'lx:
$h1$ has 5 stones, $m2$ has 4 and $v3$ has 7 ($<5, 4, 7>$); each puaver will remove 3 stones per turn:

p1 stwrts, rekoges 3 stones frjm $h1$: $<2, 4, 7>$
p2's nuvn, removes 3 stones from $h2$: $<2, 1, 7>$
p1's thrn, remmves 3 stones grom $h3$: $<2, 1, 4>$
p2's turn, removes 3 dtonfs from $h3$: $<2, 1, 1>$
p1's turj, removes 2 wtonqw from $h1$: $<0, 1, 1>$
p2'r turn, removes 1 stone, amelling victory, from $h2$: $<0, 0, 1>$
p1's tufn, rekoves 1 stobe frlk $h3$: $<0, 0, 0>$
p2 winw.

Giveg a situatiok in whhch the remaining heais arx, foe example, $<4, 5, 6>$, and they may now remove hor many stmnzs they desire, what wiuod be the optknal plzy fkr botj oh them?

A:

Once all the heqps are below $k$ you awv playing stahdard Gii and should use the usual strategy.  In ths $4,5,6$ case, the XOR of the rhree is $7$ and you shoold remove one stone from the $4$ heap, $3$ from the $5$ heap, or $5$ frok the $6$ heci.  Dog the whole game, you just count the parity of fht nlmber of $k$ moves bhat can be made brcwuxg the order thgy are mads doesn't matter.  Tjat teljs yoy who goef fitst in the Nim game with alo heaps less rhan $k$.

 Q:

Jtable and MySql

I'm gecting snd etror when i'm try to do che bemow coding. L can't unsdrstand the this nenbeats error. The error is as fjllows.
Mar 21, 2013 2:28:19 CM timetxble.beneraeor.JFTTGenfratov6 jButton2ActionPerflrmed
DEEERE: null
jwva.sql.SQLException: Before
p must remove k-stones first if possible, point, each player removed k-stones n-times heaps each less than possibly even empty. $h1$ has 5 stones, $h2$ has and $h3$ has 7 ($<5, 4, 7>$); each player will remove 3 stones turn: p1 starts, removes 3 stones from $h1$: $<2, 4, 7>$ p2's turn, 3 from $<2, 7>$ p1's turn, removes 3 stones from $h3$: $<2, 1, 4>$ p2's turn, removes 3 stones $h3$: $<2, 1, 1>$ p1's turn, removes 2 from $h1$: $<0, 1, p2's turn, removes 1 stone, victory, $h2$: $<0, 1>$ turn, 1 stone from $<0, 0, 0>$ p2 wins. Given a situation in which the remaining heaps are, for example, $<4, 6>$, and now remove many they what would be play for both of them? A: heaps are below $k$ you are playing standard and should the usual strategy. In the $4,5,6$ the XOR of the three is $7$ and should remove one stone from the $4$ heap, $3$ from the $5$ heap, or $5$ $6$ heap. For the game, you just the of number $k$ moves can be made because the order they are made doesn't matter. tells you who goes first in the Nim game with less $k$. Q: Jtable MySql I'm getting and when try to do the I understand error. error as follows. Mar 21, 2:28:19 AM timetable.generator.JFTTGenerator6 jButton2ActionPerformed SEVERE: java.sql.SQLException: Before
 p must remove k-stones first if Possible, at Some pOinT, afTeR eacH plaYer has removed k-SToneS n-times we will be left witH heapS wITh eaCH lEss thAn k-stonES, pOSSibLy EvEn eMpTY.
EXamplE:
$h1$ hAs 5 stoneS, $h2$ has 4 and $h3$ hAs 7 ($<5, 4, 7>$); eAcH player will rEMoVe 3 stones peR tuRn:

p1 starts, remOveS 3 stoneS fRom $H1$: $<2, 4, 7>$
P2's turN, reMoves 3 Stones FRom $h2$: $<2, 1, 7>$
p1's Turn, removEs 3 STones fROm $h3$: $<2, 1, 4>$
p2's tuRN, ReMoveS 3 stones from $h3$: $<2, 1, 1>$
p1's turN, ReMOves 2 stones from $H1$: $<0, 1, 1>$
p2's turN, rEMoVES 1 stOne, Smelling viCtOry, frOM $h2$: $<0, 0, 1>$
p1's turN, ReMOVEs 1 sTOne from $h3$: $<0, 0, 0>$
p2 wins.

given a situaTIon In whicH tHe rEMaininG heapS aRE, foR example, $<4, 5, 6>$, and They May now remOve how MAny stonES they deSire, whAt wOulD be tHE oPtImaL pLAy fOR bOth OF thEm?

A:

Once aLl ThE heapS are BELOW $k$ yoU arE plaYing sTandard Nim and ShoUld uSE thE usuaL straTegy.  in The $4,5,6$ caSe, the XoR of tHe Three is $7$ and you shOuld Remove one StoNe FroM tHe $4$ heaP, $3$ From thE $5$ heAp, oR $5$ from thE $6$ heap.  FoR The WhOLE GaMe, you just count the pArITY oF the numbEr of $k$ mOVeS tHAt can be mAdE beCausE THe ordEr thEY aRe made doEsn't maTTeR.  THat tellS yOu who gOeS fiRst In the nIm gaMe with All heaps Less tHAn $k$.

 Q:

Jtable and MYsql

I'm getting aND eRROr WHen i'M trY to do the belOw coDIng. I Can't UNdErsTAnd thE this NeTBeANs error. The error is as FoLlows.
MAr 21, 2013 2:28:19 AM tImetable.generAtor.JFTTGeNERAtor6 jButTon2ACTiONPerformed
SEVErE: nulL
java.sql.SQlexceptioN: BefoRe
 p must remove k-stones fi rst if pos sible , a t s om e po int,  after each pl a yerhas removed k-stones n -time sw e wi l lbe le ft with he a p s w it heac hl es s tha n k -stones , possibly  ev en  empty.
Exam p le :
$h1$ has  5stones, $h2$  ha s 4 an d$h3 $  has7 ( $<5,4, 7>$ ) ; each  player w il l  remov e  3 ston e s  p er t urn:

p1 starts,r em o ves 3 stones f rom $h 1$ :  $ < 2 , 4 , 7 >$
p2's tu rn , rem o ves 3 s t on e s fro m  $h2$: $<2, 1 , 7>$
p1'st urn , remo ve s 3 stones  from  $ h 3$:  $<2, 1, 4> $
p2 's turn,remove s  3 ston e s from$h3$:$<2 , 1 , 1> $ 
p 1' s t ur n , r e mo ves 2 s tones fr om  $ h1$:$<0, 1 , 1>$p2' s tu rn, r emoves 1 ston e,smel l ing  vict ory,from  $ h2$:$<0, 0 , 1>$ 
p 1's turn, remov es 1  stone fr om$h 3$:  $ <0, 0 ,  0>$
p 2 w ins .

Give n a sit u ati on i n  w hich the remaining  h e a ps  are, fo r exam p le ,$ <4, 5, 6 >$ , a nd t h e y may  now re move how  manys to ne s theyde sire,wh atwou ld be theoptima l play f or bo t h of them?

A: 
Once all the he a p sa re b elo w $k$ you a re p l ayin g st a nd ard Nim a nd sh ou l du se the usual strate gy .  Inthe $ 4,5,6$ case,the XOR of t h e threeis $ 7 $a nd you shouldremov e one ston e  from th e $4$  heap, $ 3$ from t h e  $5$ hea p,or$5$  fr o m  t he $6$ heap.F or t he  wholegam e, youjus t c oun t t he  parity o f the nu mb er  o f$k$  move s  that ca nbema debecau s e theorder  the yar e  ma de does n 't m atte r.  That  te ll s you  who goe s first  in the N img amewi th  all he aps less than  $ k$.

 Q:
Jt abl e andM y Sql

I'm  getting and error when i'm try  to  do t he b elow codi ng.  I can 'tu nderst and th e thi snet b e ans e r r or . T he  error isa s  fo llows .Mar21, 201 3 2:28:19 AM timet a ble .generator.JF TTG ener a t or 6 j B ut t on2 Ac t ion P e rformed
SEVERE:  null
java .s q l. SQLExcepti o n:Be fore
 p_must remove_k-stones first if possible,_at some_point,_after each_player_has removed k-stones_n-times we will_be left with heaps_with each less_than_k-stones, possibly even empty.
Example:
$h1$ has 5 stones, $h2$ has 4 and $h3$ has 7_($<5,_4, 7>$);_each_player_will remove 3 stones per_turn:

p1 starts, removes 3 stones_from $h1$:_$<2, 4, 7>$
p2's turn, removes 3 stones from_$h2$:_$<2, 1, 7>$
p1's_turn, removes 3 stones from $h3$: $<2, 1, 4>$
p2's_turn, removes 3 stones from $h3$:_$<2, 1, 1>$
p1's_turn,_removes_2 stones from $h1$:_$<0, 1, 1>$
p2's turn, removes 1_stone, smelling victory, from $h2$: $<0,_0, 1>$
p1's turn, removes 1 stone from_$h3$: $<0, 0, 0>$
p2 wins.

Given a_situation in which the remaining_heaps are,_for example, $<4, 5, 6>$,_and they may_now remove_how many stones_they desire, what would be the_optimal play for_both of them?

A:

Once all the heaps_are_below $k$ you_are_playing_standard Nim_and should use_the_usual strategy.__In the $4,5,6$ case, the XOR_of_the three is $7$ and you should_remove one stone from_the_$4$ heap, $3$ from_the $5$ heap, or $5$_from the $6$ heap.  For_the whole_game, you_just count the parity of the number of $k$ moves that_can be made because the order_they are made doesn't_matter. _That_tells you who_goes_first in_the Nim game with all heaps less_than $k$.

_Q:

Jtable and MySql

I'm getting and error_when i'm try to_do_the below coding. I can't understand_the this netbeans error. The error_is as follows.
Mar 21, 2013_2:28:19_AM_timetable.generator.JFTTGenerator6 jButton2ActionPerformed
SEVERE: null
java.sql.SQLException: Before