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Deepak. Marglon-
Date......***
Dynamic0unmina
Page.. ******************
DP Enh
once.d (^) Ketunsíon
hen apbly DP-
Choices i) phma (2 on mone)
Note Note
Newstant qfoluing (^) Dp_p10blarna (^) dimctl
y makng table U(Gahn- Uh Manner
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hesi K ppnaachz
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di 9ibonacci
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ijMatnix hai Mulkiplicahon
Tanant Panblonna.
i DP eh anid
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ate..********** Page.********. Knap Sock_ Paoblan
hat Knapsack
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hich
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Hecuive Coda
atKnap sack (^) Cint
ot 1,at valta, (^) nt (^) w, (^) intn) tefit )
ifn= o 1| W=0ne kwn 0,
if wt[h-11< W)
hetun _maxalin-11+ krapsack wt vayw-wtni
else ifat [n-1 )W
etun Kaaksackwt,val, W,n:1)
Date...************ Pa ragea*nseee**************
abulaion Code. (Bottom Dp Codle :
hebaaic iclea Behind abuleHon e
1Cuaive Calls _fhat Ae_hanl
oSeenin he Memoitation techniauo inle
ternah onm
abulaion_can be pn sonmed to Hhe plowina
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Chanyging heunaine suntions
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ton (int^ izL^ kn+1^ itt
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dpilLEmadpLAIj-wtL-1tvel li,
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Intnoducion evision e knagbsackad
A
voniaions unhn_pnoblor
iO
Tdoni
a (^) a
problemin dh^ cap
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e e haug
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Capacty and
ha
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noblem
an itema hat
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hapben that
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towtL1 ovalc^
hon 22
h yaluo
anc conaicton nglecE oeiht
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athnn)-
ono aCon.stnain^
aA W
alu MOne hat
Choices
that we_cnE taKe
Ow anS
ndthine _ala e the change in
the nfhalizatini^ in^ is^ vmiaio
Date..**********Page..*.
Cad Vasiationd
ThihalisaHon
a1ags11e dOmmorpn^
d_Surn i^ O
possible le^ ei^
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initialisaton
dpCat11T Sumt1),
on int i =0; i<htl;_itt)
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f (i=z0) dprillil
g0) dpGtjiz tnu
Liy Main^ Colo^
wEr
W Sun
int ax^
nof 0/P
oubiC Vaniq hon
Date.. ***** ****** Page.
nopunla os e^
ernofunchonin (^) bolesn O Le usl ) onuiton
dpti3t (^) =(dÞtiJ Li- (^) anm[i-13] (^) dpti-11Cj
else
dpriir (^) dpL1:19 i
han
Desak anso
Mekutn elp[n1LSuml
Egua (^) unanhihian
Problern
G en an atauy Can0e_onnHhon i in e
to qubseb Such^ hat
lemont and u itin hifhaae_
qubs.ek e i ak ecual sun in heul
9u h 6e6.
Op Tiue^ nce^ S,
Op alse
Date.... Page....
Codo
hool (^) Eual (^) Sun Panlnl anL1, înt nintsu
Sum , 2)nehan false z-
i
MetounSubset Sun int annLI,intnint 5un
oun phubset pun 1lfha iiven u
roblem
ind lun ftad^ ho:
an_passf hle.
Giuen
man (^) oub.Ses inon
X bi
TP 23,S, 8,
10
Eplaakon S5 2,
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2ilarity
wih pubset^
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noubsetoumnobem^
1 ny^
ne
outu Aubsef^
o un
possible 1 not
But
home_,in thio^ roblom^
de
alse (^) niecl
Couni0 the ubset
Code Votiahon
Tashaisaion
for int i0 iknrlÍtt
son[int jznjkSmtj
i=O.) dpti1Lj1= 0.
dpi1j
MainCede
fo11Li:11 )Su dpriCj1-dpti
else dp1cj1: deri-11rj-amti-11] tdli
Cun
bo
p1oued
eaailSince,
StS 2
Sum ann
finc
out the diftenc
Coun
giuenlann-S)-8, dift
"
di ounlana-2x51H
int lh[nt
11LSum^
t41,
4onlint izD10t11, it
pindj-0,jK[untiJt
iffiszo d6rirj1=nlsa
ifljz-o
dpri gI=tnul
fonint i2^ Kht^
tt
onintj j{Suntljt)
ifannfi-11 < Sum
dpi11j1dpt:21j-dnoLi-13]dpli-
else
Dat*******************| Page...
fon (^) inki Sum 2 iz0,i
diE Sun- 2
xi
bneak
Aetunn dif
lv) Cbunthe numben o
pubset_wih
nlon
aien anainaoncidifleninca betoe.en fhe
0Subset Sum CAuNt
Subsek ilh Tha dtewnce
Ex
1/P o1,4,2,
Explan ahioniL2nd3 L22nd
71ands
