{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "restart:\nDigits:= 1 2:\n" }{TEXT -1 47 "This is the average degree of the random graph." } {MPLTEXT 1 0 11 "\nd:= 4.30:\n" }{TEXT -1 52 "This is a starting overe stimated value for the cut. " }}{PARA 0 "" 0 "" {TEXT -1 98 "(We can o btain such values by applying the plain first moment. Also, since the majority-cut(d) is" }}{PARA 0 "" 0 "" {TEXT -1 128 "decreasing on d, \+ the majority-cut(d) gives a good starting value for computing the nex t majority-cut(d') for d'=d + increment )" }{MPLTEXT 1 0 33 " \nprevio us_decimated_cut:= .865:\n" }{TEXT -1 211 "This tunes the increment of parameter b00, see its definition in Expression (1) in UB.pdf.\nThe l arger it is the more it speeds the computation, however, introducing a n overestimation of the actual majority cut.." }{MPLTEXT 1 0 19 "\nSTE Pb00:= 1/100: \n" }{TEXT -1 218 "This tunes the decrement of the start ing overestimated value for the cut \"previous_decimated_cut\".\nThe l arger it is the more speeds the computation, however, introducing an o verestimation of the actual majority cut. " }{MPLTEXT 1 0 25 "\nDECR EASE_cut:= 0.0003:\n\n" }{TEXT -1 15 "This gives the " }{TEXT 260 15 " degree sequence" }{TEXT -1 38 " of the decimated graph, according to \+ " }{TEXT 261 15 "Expression (1) " }{TEXT -1 16 "in ESA'06 paper." } {MPLTEXT 1 0 82 "\nDEGREE_decimated:= (d,i)->-LambertW(-d*exp(-d))/d*( d+LambertW(-d*exp(-d)))^i/i!:\n" }{TEXT -1 32 "This gives the scaled n umber of " }{TEXT 258 15 "decimated edges" }{TEXT -1 15 ", according t o " }{TEXT 259 9 "Theorem 1" }{TEXT -1 17 " in ESA'06 paper." } {MPLTEXT 1 0 77 "\nEDGES_decimated:= (d)->-LambertW(-d*exp(-d))-Lamber tW(-d*exp(-d))^2/(2*d):\n\n" }{TEXT 257 4 "dmax" }{TEXT -1 45 " is com puted according to the average degree " }{TEXT 256 2 "d " }{TEXT -1 108 "of the input graph. The criterion is that vertices of degree > dm ax \nhave scaled cardinality < 10^\{-8\}, say." }{MPLTEXT 1 0 244 "\ni f (d < 3.0) then\ndmax:=17:\nelif (d < 5.0) then\ndmax:= 21:\nelif (d \+ < 7.0) then\ndmax:= 25:\nelif (d < 9.0) then\ndmax:= 29:\nelif (d < 12 .0) then\ndmax:= 35:\nelif (d < 15.0) then\ndmax:= 41:\nelif (d < 18.0 ) then\ndmax:= 45:\nelse \ndmax:=48:\nend if:\n\n" }{TEXT -1 168 "--- ---------------------------------------------------------------------- ----------------------------------------------------------\nHere we wr ite the corresponding \\Phi" }{TEXT -1 89 " functions having the form \+ as in (13) that we will use for expressing the 4 equations in" } {TEXT 263 12 " System (18)" }{TEXT -1 57 " in UB.pdf\nWe also write th eir corresponding derivatives." }{MPLTEXT 1 0 3657 "\nFFa := (i, x, y) -> (x+y)^i-sum(binomial(i,s1)*y^s1*x^(i-s1),s1 = 0 .. i/2-1):\nFFp := (i, x, y)-> (x+y)^i-sum(binomial(i,s1)*y^s1*x^(i-s1),s1 = 0 .. (i-1) /2):\nFF2a := (i, x, y)-> (x+y)^i-sum(binomial(i,s1)*y^s1*x^(i-s1),s1 = 0 .. i/2):\nFF2p := (i, x, y)-> (x+y)^i-sum(binomial(i,s1)*y^s1*x^ (i-s1),s1 = 0 .. (i-1)/2):\n\nFF:= proc(i, x, y)\nif (modp(i,2)= 0) \n then \nFFa(i, x, y):\nelse \nFFp(i, x, y):\nend if:\nend proc:\n\nFF2: = proc(i, x, y)\nif (modp(i,2)= 0) \nthen \nFF2a(i, x, y):\nelse \nFF2 p(i, x, y):\nend if:\nend proc:\n\nFL01:= proc(i, L00, L01)\nif (modp( i,2)= 0) \nthen \n(L00^(1/2)+L01)^i*i/(L00^(1/2)+L01)-L00^(1/2*i)*((L0 0^(1/2)+L01)/L00^(1/2))^i*i/(L00^(1/2)+L01)+1/2*binomial(i,1/2*i)*L01^ (1/2*i)*i/L01*L00^(1/4*i)*hypergeom([1, -1/2*i],[1/2*i+1],-L01/L00^(1/ 2))+1/2*binomial(i,1/2*i)*L01^(1/2*i)*L00^(1/4*i)*i/(1/2*i+1)*hypergeo m([2, -1/2*i+1],[1/2*i+2],-L01/L00^(1/2))/L00^(1/2):\nelse \n(L00^(1/2 )+L01)^i*i/(L00^(1/2)+L01)-L00^(1/2*i)*((L00^(1/2)+L01)/L00^(1/2))^i*i /(L00^(1/2)+L01)+1/2*L00^(1/4*i-1/4)*binomial(i,1/2*i+1/2)*L01^(1/2*i- 1/2)*hypergeom([1, -1/2*i+1/2],[1/2*i+1/2],-L01/L00^(1/2))*(i+1):\nend if:\nend proc:\n\nFL10:= proc(i, L11, L10)\nif (modp(i,2)= 0) \nthen \+ \n(L11^(1/2)+L10)^i*i/(L11^(1/2)+L10)-L11^(1/2*i)*((L11^(1/2)+L10)/L11 ^(1/2))^i*i/(L11^(1/2)+L10)+binomial(i,1/2*i+1)*L10^(1/2*i+1)*(1/2*i+1 )/L10*L11^(1/4*i-1/2)*hypergeom([1, -1/2*i+1],[2+1/2*i],-L10/L11^(1/2) )-binomial(i,1/2*i+1)*L10^(1/2*i+1)*L11^(1/4*i-1/2)*(-1/2*i+1)/(2+1/2* i)*hypergeom([2, -1/2*i+2],[3+1/2*i],-L10/L11^(1/2))/L11^(1/2):\nelse \+ \n(L11^(1/2)+L10)^i*i/(L11^(1/2)+L10)-L11^(1/2*i)*((L11^(1/2)+L10)/L11 ^(1/2))^i*i/(L11^(1/2)+L10)+1/2*L11^(1/4*i-1/4)*L10^(1/2*i-1/2)*binomi al(i,1/2*i+1/2)*hypergeom([1, 1/2-1/2*i],[1/2*i+1/2],-L10/L11^(1/2))*( i+1):\nend if:\nend proc:\n\nFL11:= proc(i, L11, L10)\nif (modp(i,2)= \+ 0) \nthen \n1/2*(L11^(1/2)+L10)^i*i/L11^(1/2)/(L11^(1/2)+L10)-1/2*L11^ (1/2*i)*i/L11*((L11^(1/2)+L10)/L11^(1/2))^i-L11^(1/2*i)*((L11^(1/2)+L1 0)/L11^(1/2))^i*i*(1/(2*L11)-1/2*(L11^(1/2)+L10)/L11^(3/2))/(L11^(1/2) +L10)*L11^(1/2)+binomial(i,1/2*i+1)*L10^(1/2*i+1)*L11^(1/4*i-1/2)*(1/4 *i-1/2)/L11*hypergeom([1, -1/2*i+1],[2+1/2*i],-L10/L11^(1/2))+1/2*bino mial(i,1/2*i+1)*L10^(1/2*i+1)*L11^(1/4*i-1/2)*(-1/2*i+1)/(2+1/2*i)*hyp ergeom([2, -1/2*i+2],[3+1/2*i],-L10/L11^(1/2))*L10/L11^(3/2):\nelse \n 1/2*(L11^(1/2)+L10)^i*i/L11^(1/2)/(L11^(1/2)+L10)-1/2*L11^(1/2*i)*i/L1 1*((L11^(1/2)+L10)/L11^(1/2))^i-L11^(1/2*i)*((L11^(1/2)+L10)/L11^(1/2) )^i*i*(1/(2*L11)-1/2*(L11^(1/2)+L10)/L11^(3/2))/(L11^(1/2)+L10)*L11^(1 /2)+1/4*1/L11^(3/2)*(L11^(3/2)*L10^(1/2*i+1/2)*binomial(i,1/2*i+1/2)*L 11^(1/4*i-5/4)*(i-1)*hypergeom([1, -1/2*i+3/2],[1/2*i+3/2],-L10/L11^(1 /2))+2*L10^(i+1)*binomial(i,i+1)*hypergeom([1, 2],[i+2],-L10/L11^(1/2) )):\nend if:\nend proc:\n\nFL00:= proc(i, L00, L01)\nif (modp(i,2)= 0) \nthen \n1/2*(L00^(1/2)+L01)^i*i/L00^(1/2)/(L00^(1/2)+L01)-1/2*L00^(1 /2*i)*i/L00*((L00^(1/2)+L01)/L00^(1/2))^i-L00^(1/2*i)*((L00^(1/2)+L01) /L00^(1/2))^i*i*(1/(2*L00)-1/2*(L00^(1/2)+L01)/L00^(3/2))/(L00^(1/2)+L 01)*L00^(1/2)+1/4*binomial(i,1/2*i)*L01^(1/2*i)*L00^(1/4*i)*i/L00*hype rgeom([1, -1/2*i],[1/2*i+1],-L01/L00^(1/2))-1/4*binomial(i,1/2*i)*L01^ (1/2*i)*L00^(1/4*i)*i/(1/2*i+1)*hypergeom([2, -1/2*i+1],[1/2*i+2],-L01 /L00^(1/2))*L01/L00^(3/2):\nelse \n1/2*(L00^(1/2)+L01)^i*i/L00^(1/2)/( L00^(1/2)+L01)-1/2*L00^(1/2*i)*i/L00*((L00^(1/2)+L01)/L00^(1/2))^i-L00 ^(1/2*i)*((L00^(1/2)+L01)/L00^(1/2))^i*i*(1/(2*L00)-1/2*(L00^(1/2)+L01 )/L00^(3/2))/(L00^(1/2)+L01)*L00^(1/2)+1/4*(binomial(i,1/2*i+1/2)*L00^ (1/4*i-5/4)*L01^(1/2*i+1/2)*L00^(3/2)*(i-1)*hypergeom([1, -1/2*i+3/2], [3/2+1/2*i],-L01/L00^(1/2))+2*binomial(i,i+1)*L01^(i+1)*hypergeom([1, \+ 2],[i+2],-L01/L00^(1/2)))/L00^(3/2):\nend if:\nend proc:\n" }{TEXT -1 163 "\nAll functions that we have constructed above, now are combined \+ in the form of the 4 equations below, which stand for the righthand si des in System (18) in UB.pdf\n" }{MPLTEXT 1 0 451 "Eq01:= (L01, L10, y 00, y11)-> L01*add(p[i]*(FL01(i,y00, L01))/(FF(i,y00, L01 )+FF2(i,y11, L10)) ,i=1..dmax ):\n\nEq10:= (L01, L10, y00, y11)-> L10*add(p[i]*(F L10(i,y11, L10))/(FF(i,y00, L01 )+FF2(i,y11, L10)) ,i=1..dmax ):\n\nE q00:= (L01, L10, y00, y11)-> y00^2*add(p[i]*(FL00(i,y00, L01))/(FF(i,y 00, L01 )+FF2(i,y11, L10)) ,i=1..dmax ):\n\nEq11:= (L01, L10, y00, y1 1)-> y11^2*add(p[i]*(FL11(i,y11, L10))/(FF(i,y00, L01 )+FF2(i,y11, L10 )) ,i=1..dmax ):\n" }{TEXT -1 159 "---------------------------------- ---------------------------------------------------------------------- -------------------------------------------------------" }{MPLTEXT 1 0 2 "\n\n" }{TEXT -1 119 "The portion of edges into the cut and the de cimated degree sequence as it appears in Theorem 2 in the the ESA'06 p aper." }{MPLTEXT 1 0 28 "\ndcut:= EDGES_decimated(d);\n" }{TEXT -1 48 "Vector a[] stores the decimated degree sequence." }{MPLTEXT 1 0 89 " \na[0]:= 0: \na[1]:= 0:\nfor i from 2 by 1 to dmax do\na[i]:= DEGREE_d ecimated(d,i):\nend do:\n" }{TEXT -1 51 "The normalization of the deci mated degree sequence." }{MPLTEXT 1 0 114 "\nNu:= add(a[j], j=0..dmax) ;\nfor w from 0 by 1 to dmax do\np[w]:= a[w]/Nu:\nend do:\nb:= sum(i1* p[i1], i1=0..dmax)/2:\n" }{TEXT -1 62 "This is the objective function, see Expression (19) in UB.pdf." }{MPLTEXT 1 0 204 "\nEX:= (b01,b10,b0 0,b11,L01,L10,L00,L11 )->(1/(2*b))^(b)*mul(( FF(i,L00^(1/2), L01 ) + F F2(i,L11^(1/2), L10) )^(p[i]), i=1..dmax)*(b01/L01)^(b01)*(b00/L00)^(b 00)*(b11/L11)^(b11)*(1/L10)^(b10)*2^(b00+b11):\n" }{TEXT -1 43 "The cu t starts from an overestimated value " }{TEXT 264 22 "previous_decimat ed_cut" }{TEXT -1 19 " and decreases by " }{TEXT 265 13 "DECREASE_cut " }{TEXT -1 30 "until we encounter a value of " }{TEXT 266 3 "b01" } {TEXT -1 194 " (see the last paragraph: Optimization target in UB.pdf) that causes the objective function (19) to exceed 1.\nThen, the final value of the majority cut is obtained via the previous value of b01. " }{MPLTEXT 1 0 140 "\ncut:= previous_decimated_cut+DECREASE_cut:\ntim e4:= 1:\nMAX_EX[1]:= 0.9:\nfor time5 from 0 by STEPb00 while (MAX_EX[m odp(time4,2)] < 1.0) do \n" }{TEXT -1 102 "Here we decrease the curren t cut, provided that it caused to the objective funtion (19) to remain <1. " }{MPLTEXT 1 0 73 "\ncut:= cut - DECREASE_cut:\nprint(\"updated \+ value of decimated cut\", cut);\n" }{TEXT -1 44 "It holds b01=b10 acco rding to (20) in UB.pdf" }{MPLTEXT 1 0 75 "\nbb01:= b*cut:\nbb10:= bb0 1:\ntime4:= 1:\nMAX_EX[1]:= 0.1:\nMAX_EX[0]:= 0.09:\n\n" }{TEXT -1 447 "The following 8 parameteres bound accordingly the search space fo r each solution L appearing in (15) of the 4x4 system (18) in UB.pdf. \nDepending on d, we can set even smaller values, boosting the speed o f the program. It needs some experimentation. The key is to inspect, i n the blue letters \nthat the maple outputs below, the values of the 4 solutions. Then, we must set: \nL01ub close but > L01, \nL10ub close \+ but > L10, \nY00ub close but > Y00, " }}{PARA 0 "" 0 "" {TEXT -1 22 " Y11ub close but > Y11." }{MPLTEXT 1 0 48 " \nL01ub:= 10:\nL10ub:= 10: \nY00ub:= 2:\nY11ub:= 2:\n" }{TEXT -1 136 "This is a suitably small lo wer bound to each solution (by the renaming of the Lagrange multiplier s in UB.pdf each solution must be > 0)." }{MPLTEXT 1 0 93 "\nepsilon:= 0.0000000001:\nL01lb:= epsilon:\nL10lb:= epsilon:\nY00lb:= epsilon:\n Y11lb:= epsilon:\n" }{TEXT -1 217 "This tunes the area around of each \+ current solution that the program will search for the next solution.\n If it is small, it boosts the program. If it is too small, it will yie ld a search space empty from the solution. " }{MPLTEXT 1 0 20 "\nrange fsolve:= 0.1:\n" }{TEXT -1 638 "According to Expression (20), having f ixed above the values b01=b10 and b, now the objective (19) becomes f unction of only b00.\nAs b00 increases, the objective function (19) st rictly increases attains its maximum and then strictly decreases.\nWe \+ give as input an overestimated value of cut. Then the objective (19) i s <1 for all b00's. \nThe loop below terminates if either the objectiv e becomes >1 or it (19) becomes decreasing on b00.\nThen the cut decre ases per round, until we reach a critical value of cut where b00 cause s the objective (19) to become > 1.\nThen the output is computed via r e-scaling of the previous value of cut. " }{MPLTEXT 1 0 222 "\nfo r bb00 from (b-bb01)/2 by STEPb00 while (MAX_EX[modp(time4,2)] >= MAX_ EX[modp(time4-1,2)] and MAX_EX[modp(time4,2)] < 1.0) do\nbb11:= b-bb01 -bb00:\nunassign('LL01','LL10','Y11','Y00','LL11','LL00','i','s'):\ns: = fsolve(\n\{\n" }{TEXT -1 41 "This is the 4x4 system in (18) in UB.pd f." }{MPLTEXT 1 0 253 " \nbb01 = Eq01(LL01, LL10, Y00, Y11),\nbb10 = \+ Eq10(LL01, LL10, Y00, Y11),\nbb00 = Eq00(LL01, LL10, Y00, Y11),\nbb11 \+ = Eq11(LL01, LL10, Y00, Y11)\},\n\{LL01,LL10,Y11,Y00\}, \{LL01=L01lb.. L01ub, LL10=L10lb..L10ub, Y00=Y00lb..Y00ub, Y11=Y11lb..Y11ub\}):\nassi gn(s):\n" }{TEXT -1 40 "It prints the 4 solutions of the system." } {MPLTEXT 1 0 92 "\nprint(\"L01=\", LL01, \"L10=\", LL10, \"Y11=\", Y11 , \"Y00=\", Y00);\nLL00:= Y00^2: \nLL11:= Y11^2: \n" }{TEXT -1 92 "We \+ restrict the search space for the next solution taking advantage of th e current solution." }{MPLTEXT 1 0 223 "\nL01lb:= LL01-rangefsolve:\nL 10lb:= LL10-rangefsolve:\nY00lb:= Y00-rangefsolve:\nY11lb:= Y11-rangef solve:\nL01ub:= LL01+rangefsolve:\nL10ub:= LL10+rangefsolve:\nY00ub:= \+ Y00+rangefsolve:\nY11ub:= Y11+rangefsolve:\n\ntime4:= time4+1:\n" } {TEXT -1 98 "Here we store the maximum of the objective function (19) \+ computed on a given tuple of b's in (20)." }{MPLTEXT 1 0 87 "\nMAX_EX[ modp(time4,2)]:= EX(bb01,bb10,bb00,bb11,LL01,LL10,LL00,LL11 ):\nend do :\nend do:\n" }{TEXT -1 221 "The loop is exited since we encountered a value of cut making the objective > 1. Thus, below we use the previo us value of theparameter cut \nand after the re-scaling below, the pr ogram outputs the final value of the cut." }{MPLTEXT 1 0 1 "\n" } {TEXT -1 72 "--------------------------------------------------------- ---------------" }{MPLTEXT 1 0 1 "\n" }{TEXT -1 12 "Re-scaling: " } {MPLTEXT 1 0 91 "\nbb01:= b*(cut+DECREASE_cut):\nprint(\"d= \", d , \" The final cut is\", (bb01*Nu+dcut)/(d/2));\n" }{TEXT -1 72 "--------- ---------------------------------------------------------------" } {MPLTEXT 1 0 1 "\n" }{TEXT -1 37 "It writes the majority cut to a file ." }{MPLTEXT 1 0 139 "\nFCUTXT:= evalf((bb01*Nu+dcut)/(d/2)):\nfout:= \+ fopen(\"reinf_maj_out.txt\",APPEND,TEXT);\nfprintf(fout, \"%4.2f %f \\ n\",d,FCUTXT);\nfclose(fout);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%% dcutG$\"-[*GfL;'!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#NuG$\"-wi%pP C*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~ cut6\"$\"%]')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-ZPw7 x`!#6Q%L10=F$$\"-=U7^r`F'Q%Y11=F$$\"-9NIVa5F'Q%Y00=F$$\"-Fq(GSY*!#7" } }{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-ti-F$R&!#6Q%L10=F$$\"-[R u')>aF'Q%Y11=F$$\"-\\1Mr45F'Q%Y00=F$$\"-yX\"*!#7Q% Y00=F$$\"-a'3$yv5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-:V ga4a!#6Q%L10=F$$\"-F\">O^`&F'Q%Y11=F$$\"-BhxiS')!#7Q%Y00=F$$\"-1=3Q;6F '" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6 \"$\"%Z')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-!e$\\mg` !#6Q%L10=F$$\"-k![g]N&F'Q%Y11=F$$\"-UVp_a5F'Q%Y00=F$$\"-`G#GJY*!#7" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-IDmww`!#6Q%L10=F$$\"-:`XH .aF'Q%Y11=F$$\"-[$3/*45F'Q%Y00=F$$\"-!\\\"**y0**!#7" }}{PARA 11 "" 1 " " {XPPMATH 20 "6*Q%L01=6\"$\"-iuTh(Q&!#6Q%L10=F$$\"-gyedYaF'Q%Y11=F$$ \"-<(3;Sj*!#7Q%Y00=F$$\"-@XsiL5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q %L01=6\"$\"-KG43$R&!#6Q%L10=F$$\"-=#)p!\\[&F'Q%Y11=F$$\"-'yJ0)\\\"*!#7 Q%Y00=F$$\"-*=SHa2\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\" -)\\S.IR&!#6Q%L10=F$$\"-9!Go#=bF'Q%Y11=F$$\"-(>[:ek)!#7Q%Y00=F$$\"-12d %f6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimate d~cut6\"$\"%W')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-T# GsUM&!#6Q%L10=F$$\"-`V)z'Q`F'Q%Y11=F$$\"-Rl4ia5F'Q%Y00=F$$\"-2[mAi%*!# 7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-`zLLg`!#6Q%L10=F$$\" -svCz'Q&F'Q%Y11=F$$\"-,FW455F'Q%Y00=F$$\"-gN4)R!**!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-D5N:r`!#6Q%L10=F$$\"-\"*[U'*HaF'Q%Y11 =F$$\"-q`1%pj*!#7Q%Y00=F$$\"-mI*eL.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-Y#)pgw`!#6Q%L10=F$$\"-!p`(>oaF'Q%Y11=F$$\"-3/`\"Q:* !#7Q%Y00=F$$\"-K`o2v5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$ \"-6\\?`w`!#6Q%L10=F$$\"-w5KZ,bF'Q%Y11=F$$\"-JTS)4l)!#7Q%Y00=F$$\"-\") =@^:6F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimate d~cut6\"$\"%T')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"->6 #\\zK&!#6Q%L10=F$$\"-#\\')oBK&F'Q%Y11=F$$\"-D,^ra5F'Q%Y00=F$$\"-3FSKh% *!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-#f0qRM&!#6Q%L10=F $$\"-_N2Oq`F'Q%Y11=F$$\"-ASWG55F'Q%Y00=F$$\"-mm^<-**!#7" }}{PARA 11 " " 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-I%4jZN&!#6Q%L10=F$$\"-ZLOU8aF'Q%Y11 =F$$\"-zNr&)R'*!#7Q%Y00=F$$\"-/Z84L5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-\"ee.-O&!#6Q%L10=F$$\"-A!yf:X&F'Q%Y11=F$$\"-v/?\"y: *!#7Q%Y00=F$$\"-eKasu5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$ \"-E$\\J,O&!#6Q%L10=F$$\"-O!\\]Z[&F'Q%Y11=F$$\"-\\\"eLhl)!#7Q%Y00=F$$ \"-]U+3:6F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~deci mated~cut6\"$\"%Q')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$ \"-9g_p6`!#6Q%L10=F$$\"-+$3FhI&F'Q%Y11=F$$\"->^$4[0\"F'Q%Y00=F$$\"-uj. Ug%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-9*=wwK&!#6Q%L1 0=F$$\"-5l))*RN&F'Q%Y11=F$$\"-?ETZ55F'Q%Y00=F$$\"-uyDP+**!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-_dCWQ`!#6Q%L10=F$$\"-VeN&pR&F'Q %Y11=F$$\"-`'flFk*!#7Q%Y00=F$$\"-y)[CG.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-wk-(QM&!#6Q%L10=F$$\"-FJK*\\V&F'Q%Y11=F$$ \"-3>bzh\"*!#7Q%Y00=F$$\"-[J^Pu5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6* Q%L01=6\"$\"-\\f7!QM&!#6Q%L10=F$$\"-fI'*4oaF'Q%Y11=F$$\"-SVUEh')!#7Q%Y 00=F$$\"-Un%\\Y6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~valu e~of~decimated~cut6\"$\"%N')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q% L01=6\"$\"-.s*4bH&!#6Q%L10=F$$\"-sSS&**G&F'Q%Y11=F$$\"-T:P!\\0\"F'Q%Y0 0=F$$\"-Icc^f%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-m=8 X6`!#6Q%L10=F$$\"-#=S1xL&F'Q%Y11=F$$\"-/)[j1,\"F'Q%Y00=F$$\"-\"G9t&)*) *!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-^N6>A`!#6Q%L10=F$ $\"-)[b`0Q&F'Q%Y11=F$$\"-O)4mck*!#7Q%Y00=F$$\"-K]$eD.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-n]lgF`!#6Q%L10=F$$\"-@9u\\=aF'Q%Y1 1=F$$\"->Xfwl\"*!#7Q%Y00=F$$\"-!>%f-u5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-)[(3aF`!#6Q%L10=F$$\"-D[,_^aF'Q%Y11=F$$\"-TmhPm')!# 7Q%Y00=F$$\"-&HQ?U6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~v alue~of~decimated~cut6\"$\"%K')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-&H*GRz_!#6Q%L10=F$$\"-N%G\\QF&F'Q%Y11=F$$\"-6%>)*\\0\"F' Q%Y00=F$$\"-$H!*4'e%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$ \"-J()\\H&H&!#6Q%L10=F$$\"-T')G[@`F'Q%Y11=F$$\"-yGD&3,\"F'Q%Y00=F$$\"- **Hox'*)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-Hn'3gI&!# 6Q%L10=F$$\"-NdJAk`F'Q%Y11=F$$\"-H.(e&['*!#7Q%Y00=F$$\"-T6`!#6Q%L10=F$$\"-qc=2 -aF'Q%Y11=F$$\"-^!QB(p\"*!#7Q%Y00=F$$\"-\"e&ynt5F'" }}{PARA 11 "" 1 " " {XPPMATH 20 "6*Q%L01=6\"$\"--q)\\8J&!#6Q%L10=F$$\"-tj:,NaF'Q%Y11=F$$ \"-%))[p9n)!#7Q%Y00=F$$\"-dyFz86F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ Q?updated~value~of~decimated~cut6\"$\"%H')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-&HdVLE&!#6Q%L10=F$$\"-7kB\"yD&F'Q%Y11=F$$ \"-[(y#4b5F'Q%Y00=F$$\"-\"=5.xX*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-!>u1#z_!#6Q%L10=F$$\"-jjyK0`F'Q%Y11=F$$\"-Y^7/65F'Q%Y00= F$$\"-l6O)\\*)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-\"f f%*)*G&!#6Q%L10=F$$\"-X/>'zM&F'Q%Y11=F$$\"-ysMW^'*!#7Q%Y00=F$$\"-)3@G? .\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-o'3'G&H&!#6Q%L10 =F$$\"-g!4;dQ&F'Q%Y11=F$$\"-g@zmt\"*!#7Q%Y00=F$$\"-Bl3Lt5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-rzxA&H&!#6Q%L10=F$$\"-u,Md=aF'Q %Y11=F$$\"-qZVaw')!#7Q%Y00=F$$\"-%QkmL6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%E')!\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-sm:OZ_!#6Q%L10=F$$\"-*[$G %=C&F'Q%Y11=F$$\"-s&\\(=b5F'Q%Y00=F$$\"-:^_zc%*!#7" }}{PARA 11 "" 1 " " {XPPMATH 20 "6*Q%L01=6\"$\"-'R8'=j_!#6Q%L10=F$$\"-&H)3C*G&F'Q%Y11=F$ $\"-2f'H7,\"F'Q%Y00=F$$\"-YfM>$*)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-=p%[QF&!#6Q%L10=F$$\"-eR$pk<.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"- X>%G#z_!#6Q%L10=F$$\"-l_'H%p`F'Q%Y11=F$$\"-(Rm*fx\"*!#7Q%Y00=F$$\"-Fi \\)H2\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-hVT>0AS&F'Q%Y11=F$$\"-ay3g\"o)!#7Q%Y00=F$$\"-Vo>%H6\"F'" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\" %B')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-7KkWJ_!#6Q%L1 0=F$$\"-ta-%fA&F'Q%Y11=F$$\"-.>BGb5F'Q%Y00=F$$\"-9\\j)eX*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-?=FBZ_!#6Q%L10=F$$\"-/(\\@KF&F' Q%Y11=F$$\"-gaxT65F'Q%Y00=F$$\"-CXjS\"*)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-C&!#6Q%L10=F$$\"-wk%)e*H&F'Q%Y11=F$ $\"-su80g'*!#7Q%Y00=F$$\"-Nk#Q7.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6*Q%L01=6\"$\"-[]fJZ_!#6Q%L10=F$$\"-uDH1P`F'Q%Y11=F$$\"-5J^U&=*!#7Q%Y0 0=F$$\"-(yQ'Hs5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-O5/F Z_!#6Q%L10=F$$\"-rlnnp`F'Q%Y11=F$$\"-)H\\f;p)!#7Q%Y00=F$$\"-iap476F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$ \"%<')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-?H]\")*>&!# 6Q%L10=F$$\"-m$>MV>&F'Q%Y11=F$$\"-m6BZb5F'Q%Y00=F$$\"-s$QlSX*!#7" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-B-d_:_!#6Q%L10=F$$\"-bSPQ T_F'Q%Y11=F$$\"-=@Iz65F'Q%Y00=F$$\"-@>6%y))*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-#zG8hA&!#6Q%L10=F$$\"-!3E*f$G&F'Q%Y11=F$$ \"-31a!Hm*!#7Q%Y00=F$$\"-\"4Lw4.\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6*Q%L01=6\"$\"-\\b-YJ_!#6Q%L10=F$$\"-')H<)4K&F'Q%Y11=F$$\"-(G/>$*=*!#7 Q%Y00=F$$\"-'4q`>2\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\" -;7%>9B&!#6Q%L10=F$$\"-oGc^``F'Q%Y11=F$$\"-rT=m'p)!#7Q%Y00=F$$\"-)ffw; 6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~ cut6\"$\"%9')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-P'*y 4%=&!#6Q%L10=F$$\"-j[)H'y^F'Q%Y11=F$$\"-P\"[nb0\"F'Q%Y00=F$$\"-p;L:`%* !#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-SJ7x*>&!#6Q%L10=F$ $\"-R&\\kbA&F'Q%Y11=F$$\"-2)>!)>,\"F'Q%Y00=F$$\"-B_H1'))*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-,\"\\M.@&!#6Q%L10=F$$\"-2cpnn_F 'Q%Y11=F$$\"-I,>vl'*!#7Q%Y00=F$$\"-wz]rI5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-m(*4n:_!#6Q%L10=F$$\"-]Z!o\\I&F'Q%Y11=F$$ \"-6I0?$>*!#7Q%Y00=F$$\"-sq?hr5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q %L01=6\"$\"-Gl]j:_!#6Q%L10=F$$\"-*=gAuL&F'Q%Y11=F$$\"-#HRY;q)!#7Q%Y00= F$$\"-SAX*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-y5A3%=&!#6Q %L10=F$$\"-5&46)4_F'Q%Y11=F$$\"-auq;75F'Q%Y00=F$$\"-$Gr(G%))*!#7" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-rL9i%>&!#6Q%L10=F$$\"-#H6 @=D&F'Q%Y11=F$$\"-v=4fo'*!#7Q%Y00=F$$\"-s0XXI5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-vRx%**>&!#6Q%L10=F$$\"-uM9-*G&F'Q%Y11=F$$ \"-Q%opq>*!#7Q%Y00=F$$\"-b*[r72\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-vGp\"**>&!#6Q%L10=F$$\"-#[B(R@`F'Q%Y11=F$$\"-FwKh1()!#7Q %Y00=F$$\"-GD,%36\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~val ue~of~decimated~cut6\"$\"%3')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q %L01=6\"$\"-jL'eG:&!#6Q%L10=F$$\"-6'R;u9&F'Q%Y11=F$$\"-go\"ed0\"F'Q%Y0 0=F$$\"-y/gK^%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-x9# e%o^!#6Q%L10=F$$\"-<7J7%>&F'Q%Y11=F$$\"-Y`ON75F'Q%Y00=F$$\"-,u`^#))*!# 7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-.(ot*y^!#6Q%L10=F$$ \"->)HJgB&F'Q%Y11=F$$\"-@;DUr'*!#7Q%Y00=F$$\"-l.Y>I5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-1\\+H%=&!#6Q%L10=F$$\"-F_99t_F'Q%Y11= F$$\"-A'fE4?*!#7Q%Y00=F$$\"-'*\\>$42\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"->mXE%=&!#6Q%L10=F$$\"-k\"3RaI&F'Q%Y11=F$$\"-/?Ec6() !#7Q%Y00=F$$\"-]$*RU56F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~ value~of~decimated~cut6\"$\"%0')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6*Q%L01=6\"$\"-ThcLP^!#6Q%L10=F$$\"-qYk!>8&F'Q%Y11=F$$\"-^'o`e0\"F'Q%Y 00=F$$\"-Ec2T]%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-y? ))*G:&!#6Q%L10=F$$\"-2A,]y^F'Q%Y11=F$$\"-nP*RD,\"F'Q%Y00=F$$\"-\"*3fu! ))*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-+D3Rj^!#6Q%L10= F$$\"-z\"32.A&F'Q%Y11=F$$\"-1^nCu'*!#7Q%Y00=F$$\"-Yo`$*H5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-(f\\(po^!#6Q%L10=F$$\"-!RmFtD&F 'Q%Y11=F$$\"-eb8x/#*!#7Q%Y00=F$$\"-]WMfq5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-LWvno^!#6Q%L10=F$$\"-v*pZ&*G&F'Q%Y11=F$$\" -c^X\\;()!#7Q%Y00=F$$\"-4^#4+6\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ Q?updated~value~of~decimated~cut6\"$\"%-')!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-nsl(=7&!#6Q%L10=F$$\"-Yf/Y;^F'Q%Y11=F$$\"- !4K\\f0\"F'Q%Y00=F$$\"-aVW\\\\%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-%)4OSP^!#6Q%L10=F$$\"-&RqTH;&F'Q%Y11=F$$\"-(*Hfs75F'Q%Y0 0=F$$\"-*3Hz*y)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-ND C(y9&!#6Q%L10=F$$\"-OP![Y?&F'Q%Y11=F$$\"-B!ojqn*!#7Q%Y00=F$$\"-3&zw'H5 F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-ga'pJ:&!#6Q%L10=F$$ \"-CP'z:C&F'Q%Y11=F$$\"-g^Sg3#*!#7Q%Y00=F$$\"-ylfDq5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-tLa:`^!#6Q%L10=F$$\"-S]Est_F'Q%Y11=F$ $\"-,(>49s)!#7Q%Y00=F$$\"-S))ef46F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 $Q?updated~value~of~decimated~cut6\"$\"%*f)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-eb4[1^!#6Q%L10=F$$\"-wA!y55&F'Q%Y11=F$$\"- &>2Xg0\"F'Q%Y00=F$$\"-\"[1x&[%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6* Q%L01=6\"$\"-Gn@(>7&!#6Q%L10=F$$\"-CTuWZ^F'Q%Y11=F$$\"-:L;\"H,\"F'Q%Y0 0=F$$\"-e$\\:s()*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-7 q!=C8&!#6Q%L10=F$$\"-*Gu`!*=&F'Q%Y11=F$$\"--gL()z'*!#7Q%Y00=F$$\"-_y)= %H5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-Y.hqP^!#6Q%L10=F $$\"-OWp*eA&F'Q%Y11=F$$\"-^sZU7#*!#7Q%Y00=F$$\"-\\1&>*p5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-R4ypP^!#6Q%L10=F$$\"-T*\\jzD&F' Q%Y11=F$$\"-@\"o1js)!#7Q%Y00=F$$\"-&e*Q=46F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%'f)!\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-:,%[64&!#6Q%L10=F$$\"-zF( ed3&F'Q%Y11=F$$\"-))R49c5F'Q%Y00=F$$\"-@='ewW*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-H\"3/m5&!#6Q%L10=F$$\"-G?p,K^F'Q%Y11=F$$\" -+]q485F'Q%Y00=F$$\"-w!\\aa()*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q %L01=6\"$\"-IWt-<^!#6Q%L10=F$$\"-LzP_t^F'Q%Y11=F$$\"-SYen#o*!#7Q%Y00=F $$\"-!Qhh\"H5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-,CkIA^ !#6Q%L10=F$$\"-Ng\"z-@&F'Q%Y11=F$$\"-!fgLi@*!#7Q%Y00=F$$\"-NfSep5F'" } }{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-J\\UIA^!#6Q%L10=F$$\"-q: )pAC&F'Q%Y11=F$$\"-4Gr=J()!#7Q%Y00=F$$\"-'REt(36F'" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%$f)!\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-*Q]ye2&!#6Q%L10=F$$\"-Ep@ ]q]F'Q%Y11=F$$\"-)[#pBc5F'Q%Y00=F$$\"-(=5RnW*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-fV*)H\"4&!#6Q%L10=F$$\"-&4t\\m6&F'Q%Y11=F$ $\"-E$=#G85F'Q%Y00=F$$\"-Scipt)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-TO)*p,^!#6Q%L10=F$$\"-DJx0e^F'Q%Y11=F$$\"-&[>rao*!#7Q%Y0 0=F$$\"-(f*\\!*G5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-N, -(p5&!#6Q%L10=F$$\"-)R'es%>&F'Q%Y11=F$$\"-iQ1.?#*!#7Q%Y00=F$$\"-=<'\\# p5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-?NV(p5&!#6Q%L10=F $$\"-%>()*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q% L01=6\"$\"-?R^V'3&!#6Q%L10=F$$\"-W(=bE9&F'Q%Y11=F$$\"-Gg%f#)o*!#7Q%Y00 =F$$\"-Peo5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-!=z.l2 &!#6Q%L10=F$$\"-g:td&>&F'Q%Y11=F$$\"-!oYFdu)!#7Q%Y00=F$$\"-_Q%\\v5\"F' " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6 \"$\"%%e)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-\"evS/.& !#6Q%L10=F$$\"-u9\\5D]F'Q%Y11=F$$\"-Q%eDl0\"F'Q%Y00=F$$\"-\"f6uRW*!#7 " }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-a$>dd/&!#6Q%L10=F$$\" -$y5C42&F'Q%Y11=F$$\"-j3f$Q,\"F'Q%Y00=F$$\"-M2zVo)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-]iD4c]!#6Q%L10=F$$\"-s#)*Q?6&F'Q%Y11= F$$\"-$*f\\\"Qp*!#7Q%Y00=F$$\"-Ev*Q\"G5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-j#=Q81&!#6Q%L10=F$$\"-xY([%[^F'Q%Y11=F$$\" -2*y^8B*!#7Q%Y00=F$$\"-M\\ADo5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q% L01=6\"$\"-#RMi81&!#6Q%L10=F$$\"-ym79!=&F'Q%Y11=F$$\"-%4)4a]()!#7Q%Y00 =F$$\"-&f:Wr5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~o f~decimated~cut6\"$\"%\"e)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L0 1=6\"$\"-;/vT:]!#6Q%L10=F$$\"-o?`45]F'Q%Y11=F$$\"-sR?ic5F'Q%Y00=F$$\"- 0-.0V%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-rQ)*pI]!#6Q %L10=F$$\"-g;i!e0&F'Q%Y11=F$$\"-cM*>S,\"F'Q%Y00=F$$\"-+\"\\!pm)*!#7" } }{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-5&)Q,T]!#6Q%L10=F$$\"-?; X#o4&F'Q%Y11=F$$\"-!=I#e'p*!#7Q%Y00=F$$\"-d'*[)y-\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-\\7Z-^B*!#7Q%Y00=F$$\"-@c<#z1\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-31HGY]!#6Q%L10=F$$\"-w'eoZ;&F'Q%Y11=F$$\"-ag!Q`v)!# 7Q%Y00=F$$\"-x(=Sn5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~v alue~of~decimated~cut6\"$\"%y&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-fM\\X+]!#6Q%L10=F$$\"-!*)[Y^*\\F'Q%Y11=F$$\"-;8'=n0\"F'Q %Y00=F$$\"-84a7U%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"- lVMq:]!#6Q%L10=F$$\"-]f'\\2/&F'Q%Y11=F$$\"-L!p.U,\"F'Q%Y00=F$$\"-9;d% \\')*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-&=U'*f-&!#6Q% L10=F$$\"-*>%>n\"3&F'Q%Y11=F$$\"-7wFM*p*!#7Q%Y00=F$$\"-uS9jF5F'" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-\"*ymAJ]!#6Q%L10=F$$\"-?= A\"z6&F'Q%Y11=F$$\"-'oxT)Q#*!#7Q%Y00=F$$\"-$HB#fn5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-vx]EJ]!#6Q%L10=F$$\"-Rm)e%\\^F'Q%Y11=F$ $\"-0B)=,w)!#7Q%Y00=F$$\"-(\\_Pj5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%v&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-zhEb&)\\!#6Q%L10=F$$\"-FM!e-)\\F'Q%Y11=F$$ \"-!\\I:o0\"F'Q%Y00=F$$\"-EN%*>T%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-V?ww+]!#6Q%L10=F$$\"-)o/ad-&F'Q%Y11=F$$\"-cyrQ95F'Q%Y0 0=F$$\"-%zb.K')*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-*= yR5,&!#6Q%L10=F$$\"-Yl3em]F'Q%Y11=F$$\"-nNk4-(*!#7Q%Y00=F$$\"-0.'yt-\" F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-(yoii,&!#6Q%L10=F$$ \"-$)3st-^F'Q%Y11=F$$\"-X'ypDC*!#7Q%Y00=F$$\"-msOEn5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-&=Y3j,&!#6Q%L10=F$$\"-2+<@M^F'Q%Y11=F $$\"-([Q$)[w)!#7Q%Y00=F$$\"-feh$f5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%s&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-M/.rq\\!#6Q%L10=F$$\"-`v&Ha'\\F'Q%Y11=F $$\"-::@\"p0\"F'Q%Y00=F$$\"-fyBFS%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-1&)>*e)\\!#6Q%L10=F$$\"-+$**=3,&F'Q%Y11=F$$\"-$=SqX ,\"F'Q%Y00=F$$\"-\"=*RYh)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01 =6\"$\"-MyN9'*\\!#6Q%L10=F$$\"--'*3b^]F'Q%Y11=F$$\"-oKL%[q*!#7Q%Y00=F$ $\"-()yj7F5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-T\\$f8+& !#6Q%L10=F$$\"-=SQi(3&F'Q%Y11=F$$\"-D#e'GY#*!#7Q%Y00=F$$\"-fog$p1\"F' " }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-QlET,]!#6Q%L10=F$$\"- K'oE!>^F'Q%Y11=F$$\"-=h=jp()!#7Q%Y00=F$$\"-xzg`06F'" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6\"$\"%p&)!\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-N$[Ff&\\!#6Q%L10=F$$\"-+M 2m]\\F'Q%Y11=F$$\"-5W!4q0\"F'Q%Y00=F$$\"-APUMR%*!#7" }}{PARA 11 "" 1 " " {XPPMATH 20 "6*Q%L01=6\"$\"-8ch2r\\!#6Q%L10=F$$\"-v9T%f*\\F'Q%Y11=F$ $\"-uiLv95F'Q%Y00=F$$\"-H$*psf)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-#pU28)\\!#6Q%L10=F$$\"-nX;eO]F'Q%Y11=F$$\"-2>Ne2(*!#7Q%Y 00=F$$\"-ejZ(o-\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-?w i^')\\!#6Q%L10=F$$\"-.>41r0\"F'Q%Y00=F$$\"-B4]TQ%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-Tb(>j&\\!#6Q%L10=F$$\"-@K!H6)\\ F'Q%Y11=F$$\"-'Q1O\\,\"F'Q%Y00=F$$\"-7QD*z&)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-hY4`m\\!#6Q%L10=F$$\"-rHFn@]F'Q%Y11=F$$\"- NYqJ5(*!#7Q%Y00=F$$\"-d_PiE5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L0 1=6\"$\"-@%3L<(\\!#6Q%L10=F$$\"-]b/ed]F'Q%Y11=F$$\"-3coo`#*!#7Q%Y00=F$ $\"-?-PGm5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-ws>!=(\\! #6Q%L10=F$$\"-AD:%))3&F'Q%Y11=F$$\"-y853z()!#7Q%Y00=F$$\"-o\\(RZ5\"F' " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decimated~cut6 \"$\"%j&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-p^*Ql#\\ !#6Q%L10=F$$\"-E//I@\\F'Q%Y11=F$$\"-**eK?d5F'Q%Y00=F$$\"-x#p%[P%*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-_3CiT\\!#6Q%L10=F$$\"-J pLPm\\F'Q%Y11=F$$\"-r2&=^,\"F'Q%Y00=F$$\"-E-1Ec)*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-CgP\"=&\\!#6Q%L10=F$$\"-OnP#o+&F'Q%Y11= F$$\"-ZlR/8(*!#7Q%Y00=F$$\"-LTLPE5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6*Q%L01=6\"$\"-I$R4q&\\!#6Q%L10=F$$\"-qj'\\E/&F'Q%Y11=F$$\"-.%\\qtD*!# 7Q%Y00=F$$\"-cE*ef1\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$ \"-i1j3d\\!#6Q%L10=F$$\"-N\"fSQ2&F'Q%Y11=F$$\"-h:>y$y)!#7Q%Y00=F$$\"-. \"[VV5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~value~of~decim ated~cut6\"$\"%g&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\" -l*\\K>\"\\!#6Q%L10=F$$\"-/v\"3n!\\F'Q%Y11=F$$\"-LX0Id5F'Q%Y00=F$$\"-$ fG`lV*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-aVP)p#\\!#6Q %L10=F$$\"-[_nn^\\F'Q%Y11=F$$\"-#op+`,\"F'Q%Y00=F$$\"-\"=;JX&)*!#7" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-;$\\br$\\!#6Q%L10=F$$\"-L !QM?*\\F'Q%Y11=F$$\"-5FVw:(*!#7Q%Y00=F$$\"-KDN7E5F'" }}{PARA 11 "" 1 " " {XPPMATH 20 "6*Q%L01=6\"$\"-\"f#[MU\\!#6Q%L10=F$$\"-Jg*yx-&F'Q%Y11=F $$\"-BQK/h#*!#7Q%Y00=F$$\"-_!3Nc1\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-<>*HC%\\!#6Q%L10=F$$\"-FO-!*e]F'Q%Y11=F$$\"-E$=n%)y)!# 7Q%Y00=F$$\"-=l%[R5\"F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q?updated~v alue~of~decimated~cut6\"$\"%d&)!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 *Q%L01=6\"$\"-e+TQ(*[!#6Q%L10=F$$\"-I!3u@*[F'Q%Y11=F$$\"-A^zRd5F'Q%Y00 =F$$\"-y'y?cV*!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-l\"R .C\"\\!#6Q%L10=F$$\"-C6)Qq$\\F'Q%Y11=F$$\"-rLE[:5F'Q%Y00=F$$\"-/$>/G&) *!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-%QxbD#\\!#6Q%L10= F$$\"-a$>/t(\\F'Q%Y11=F$$\"-\\\"=y%=(*!#7Q%Y00=F$$\"-3+V(e-\"F'" }} {PARA 11 "" 1 "" {XPPMATH 20 "6*Q%L01=6\"$\"-k2!Rx#\\!#6Q%L10=F$$\"-Fl z'H,&F'Q%Y11=F$$\"--n^qk#*!#7Q%Y00=F$$\"-`d@Jl5F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&Q$d=~6\"$\"$I%!\"#Q2~The~final~cut~isF$$\"-GI,G,')!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%foutG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{MARK "0 2 23" 165 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }