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-232.052 -10.46 Td [(has)-322(not)-321(been)-322(predicted)-322(at)-322(step)]TJ/F23 9.9626 Tf 124.366 0 Td [(t)]TJ/F80 9.9626 Tf 3.597 0 Td [(,)]TJ/F23 9.9626 Tf 5.875 0 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.495 Td [(i)]TJ/F80 9.9626 Tf 6.522 1.495 Td [(will)-322(not)-321(be)-322<696e0375656e636564>]TJ -147.492 -11.956 Td [(by)]TJ/F23 9.9626 Tf 12.776 0 Td [(w)]TJ/F22 6.9738 Tf 7.133 -1.494 Td [(j)]TJ/F80 9.9626 Tf 7.011 1.494 Td [(in)-282(current)-283(step)-282(and)-283(the)]TJ/F23 9.9626 Tf 92.641 0 Td [(P)]TJ/F80 9.9626 Tf 10.594 0 Td [(will)-282(not)-283(be)-282(pruned.)-407(Other)20(-)]TJ -130.155 -11.955 Td [(wise,)-263(if)]TJ/F23 9.9626 Tf 32.048 0 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.494 Td [(j)]TJ/F80 9.9626 Tf 6.79 1.494 Td [(has)-260(been)-260(predicted)-260(at)-261(pre)25(vious)-260(step,)-262(the)-260(feasible)]TJ -45.97 -11.955 Td [(v)25(alues)-243(of)]TJ/F23 9.9626 Tf 38.339 0 Td [(w)]TJ/F22 6.9738 Tf 7.133 -1.494 Td [(i)]TJ/F80 9.9626 Tf 5.734 1.494 Td [(will)-243(be)-242(restricted)-243(to)]TJ/F20 9.9626 Tf 79.398 0 Td [(\(0)]TJ/F23 9.9626 Tf 8.856 0 Td [(;)-167(w)]TJ/F22 6.9738 Tf 11.56 -1.494 Td [(j)]TJ/F20 9.9626 Tf 4.198 1.494 Td [(])]TJ/F80 9.9626 Tf 5.185 0 Td [(according)-243(to)]TJ/F23 9.9626 Tf 51.868 0 Td [(s)]TJ/F80 9.9626 Tf 4.67 0 Td [(,)-244(and)]TJ -216.941 -11.955 Td [(the)-250(infeasible)-250(v)25(alues')-250(probabilities)-250(in)]TJ/F23 9.9626 Tf 149.447 0 Td [(P)]TJ/F80 9.9626 Tf 10.271 0 Td [(will)-250(be)-250(set)-250(as)-250(0.)]TJ/F79 9.9626 Tf -147.763 -12.663 Td [(Pr)18(obability)-293(Pruning)-294(Module.)]TJ/F80 9.9626 Tf 128.238 0 Td [(The)-293(probability)-294(pruning)]TJ -140.193 -11.955 Td [(module)-359(checks)-360(each)-359(v)25(alue')55(s)-359(probability)-360(in)]TJ/F23 9.9626 Tf 176.178 0 Td [(P)]TJ/F25 6.9738 Tf 7.779 3.615 Td [(0)]TJ/F80 9.9626 Tf 2.796 -3.615 Td [(.)-638(The)-359(prob-)]TJ -186.753 -11.956 Td [(abilities)-329(that)-330(are)-329(lo)25(wer)-329(than)-330(the)-329(predetermined)-329(threshold)]TJ/F23 9.9626 Tf 231.296 0 Td [<12>]TJ/F80 9.9626 Tf -231.296 -11.955 Td [(will)-299(be)-299(pruned)-299(by)-299(setting)-299(as)-299(0.)-457(The)-299(threshold)]TJ/F23 9.9626 Tf 185.828 0 Td [<12>]TJ/F80 9.9626 Tf 7.932 0 Td [(is)-299(tuned)-299(to)]TJ -193.76 -11.955 Td [(achie)25(v)15(e)-250(the)-250(best)-250(performance)-250(by)-250(task.)]TJ/F79 9.9626 Tf 11.955 -12.663 Td [(Backtracking)-371(Mechanis)1(m.)]TJ/F80 9.9626 Tf 119.692 0 Td [(When)-371(the)-370(probabilities)-371(in)]TJ/F23 9.9626 Tf -131.647 -11.955 Td [(P)]TJ/F25 6.9738 Tf 7.78 3.615 Td [(0)]TJ/F80 9.9626 Tf 6.339 -3.615 Td [(are)-356(all)-355(set)-356(as)-356(0,)-382(the)-355(backtracking)-356(mechanism)-356(w)10(orks)-356(t)1(o)]TJ -14.119 -11.956 Td [(roll)-235(back)-236(the)-235(decoding)-236(process)-235(to)-236(a)-235(pre)25(vious)-236(step)-235(and)-236(restart)]TJ 0 -11.955 Td [(the)-211(prediction.)-296(The)-211(function)]TJ/F23 9.9626 Tf 113.012 0 Td [(B)-50(ack)-32(tr)-27(ack)-32(ing)]TJ/F80 9.9626 Tf 63.201 0 Td [(will)-211(check)-210(wh)5(y)]TJ -176.213 -11.955 Td [(the)]TJ/F23 9.9626 Tf 14.427 0 Td [(P)]TJ/F25 6.9738 Tf 7.78 3.615 Td [(0)]TJ/F80 9.9626 Tf 5.048 -3.615 Td [(is)-226(pruned)-226(as)-226(empty)65(,)-231(and)-227(decide)-226(which)-226(step)]TJ/F23 9.9626 Tf 168.218 0 Td [(t)]TJ/F25 6.9738 Tf 3.598 3.615 Td [(0)]TJ/F80 9.9626 Tf 5.048 -3.615 Td [(to)-226(back-)]TJ -204.119 -11.955 Td [(track)-266(to.)-359(One)-266(situation)-266(is)-267(that)-266(the)-266(current)-266(tok)10(en)-267(is)-266(restricted)]TJ 0 -11.955 Td [(by)-277(pre)25(vious)-277(tok)10(en)-277(through)-277(the)-277(constraint.)-391(F)15(or)-277(e)15(xample,)-284(the)]TJ 0 -11.955 Td [(relation)-383(constraint)]TJ/F23 9.9626 Tf 77.351 0 Td [(s)]TJ/F20 9.9626 Tf 9.884 0 Td [(=)]TJ/F26 9.9626 Tf 12.962 0 Td [(f)]TJ/F23 9.9626 Tf 4.982 0 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.495 Td [(i)]TJ/F26 9.9626 Tf 8.531 1.495 Td [<14>]TJ/F23 9.9626 Tf 12.963 0 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.495 Td [(j)]TJ/F26 9.9626 Tf 4.198 1.495 Td [(g)]TJ/F80 9.9626 Tf 8.793 0 Td [(restricts)-383(the)-382(feasible)]TJ -153.928 -11.956 Td [(v)25(alues)-390(of)]TJ/F23 9.9626 Tf 41.277 0 Td [(w)]TJ/F22 6.9738 Tf 7.133 -1.494 Td [(i)]TJ/F80 9.9626 Tf 7.203 1.494 Td [(by)]TJ/F23 9.9626 Tf 13.849 0 Td [(w)]TJ/F22 6.9738 Tf 7.133 -1.494 Td [(j)]TJ/F80 9.9626 Tf 4.197 1.494 Td [(.)-730(In)-391(thi)1(s)-391(case,)-425(we)-390(choose)-390(the)-390(step)-390(of)]TJ/F23 9.9626 Tf -80.792 -11.955 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.494 Td [(j)]TJ/F80 9.9626 Tf 7.52 1.494 Td [(as)-333(the)-334(backtracking)-333(step.)-561(Other)1(wise,)-355(since)-333(all)-334(the)-333(pre-)]TJ -14.652 -11.955 Td [(vious)-279(predictions)-279(collecti)25(v)15(ely)-279(lead)-279(to)-280(current)-279(circumstance,)]TJ 0 -11.955 Td [(we)-250(randomly)-250(pick)-250(one)-250(pre)25(vious)-250(step)-250(to)-250(back)-250(to.)]TJ/F79 11.9552 Tf 0 -26.035 Td [(4.)-250(Experiments)]TJ/F79 10.9589 Tf 0 -19.637 Td [(4.1.)-250(Setups)]TJ/F79 9.9626 Tf 11.955 -18.64 Td [(Datasets.)]TJ/F80 9.9626 Tf 42.462 0 Td [(W)80(e)-281(compare)-280(LayoutF)15(ormer++)-281(to)-281(e)15(xisting)-281(ap-)]TJ -54.417 -11.956 Td [(proaches)-289(on)-290(tw)10(o)-289(public)-290(datasets.)]TJ/F84 9.9626 Tf 134.957 0 Td [(RICO)]TJ/F80 9.9626 Tf 26.126 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(15)]TJ 0 g 0 G [(])-290(is)-289(a)-289(dataset)-290(of)]TJ -161.083 -11.955 Td [(mobile)-310(app)-309(UI)-310(that)-310(contains)]TJ/F20 9.9626 Tf 116.147 0 Td [(66)]TJ/F80 9.9626 Tf 9.963 0 Td [(K+)-310(UI)-309(layouts)-310(with)]TJ/F20 9.9626 Tf 82.158 0 Td [(25)]TJ/F80 9.9626 Tf 13.048 0 Td [(ele-)]TJ -221.316 -11.955 Td [(ment)-209(types.)]TJ/F84 9.9626 Tf 48.482 0 Td [(PubLayNet)]TJ/F80 9.9626 Tf 47.094 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(30)]TJ 0 g 0 G [(])-209(contains)]TJ/F20 9.9626 Tf 53.968 0 Td [(360)]TJ/F80 9.9626 Tf 14.944 0 Td [(K+)-209(document)-209(lay-)]TJ -164.488 -11.955 Td [(outs)-238(with)]TJ/F20 9.9626 Tf 39.062 0 Td [(5)]TJ/F80 9.9626 Tf 7.352 0 Td [(element)-238(types.)-306(On)-238(both)-238(datasets,)-240(there)-238(are)-238(a)-238(fe)25(w)]TJ -46.414 -11.955 Td [(layouts)-213(with)-214(quite)-213(a)-214(lot)-213(of)-213(elements,)-221(which)-214(eas)1(ily)-214(leads)-213(to)-214(an)]TJ 0 -11.955 Td [(out-of-memory)-305(problem.)-476(Existing)-305(studies)-305(use)-306(multif)10(arious)]TJ 0 -11.956 Td [(rules)-232(to)-232<026c746572>-233(out)-232(these)-232(layouts.)-304(In)-232(our)-233(e)15(xperiments,)-235(we)-233(sim-)]TJ 0 -11.955 Td [(ply)-322<026c746572>-322(out)-322(the)-322(layouts)-322(with)-322(more)-322(than)]TJ/F20 9.9626 Tf 166.244 0 Td [(20)]TJ/F80 9.9626 Tf 13.17 0 Td [(elements.)-526(F)15(or)]TJ -179.414 -11.955 Td [(RICO,)-344(we)-343(use)]TJ/F20 9.9626 Tf 61.455 0 Td [(90%)]TJ/F80 9.9626 Tf 18.265 0 Td [(,)]TJ/F20 9.9626 Tf 6.146 0 Td [(5%)]TJ/F80 9.9626 Tf 16.707 0 Td [(and)]TJ/F20 9.9626 Tf 17.808 0 Td [(5%)]TJ/F80 9.9626 Tf 16.706 0 Td [(of)-344(data)-343(for)-344(training,)-367(v)25(al-)]TJ -137.087 -11.955 Td [(idation)-337(and)-337(t)1(esting.)-571(F)15(or)-337(PubLayNet,)-358(we)-337(use)]TJ/F20 9.9626 Tf 183.605 0 Td [(95%)]TJ/F80 9.9626 Tf 21.62 0 Td [(and)]TJ/F20 9.9626 Tf 17.741 0 Td [(5%)]TJ/F80 9.9626 Tf -222.966 -11.955 Td [(of)-291(of)25<026369616c>-290(training)-291(split)-291(for)-291(training)-290(and)-291(v)25(alidation,)-301(and)-291(the)]TJ 0 -11.956 Td [(of)25<026369616c>-250(v)25(alidation)-250(split)-250(for)-250(testing.)]TJ/F79 9.9626 Tf 11.955 -12.663 Td [(Baselines.)]TJ/F80 9.9626 Tf 46.228 0 Td [(W)80(e)-295(try)-295(our)-295(best)-295(to)-295(reproduce)-295(all)-296(t)1(he)-296(e)15(xisting)]TJ -58.183 -11.955 Td [(approaches.)-738(Ev)15(en)-393(so,)-428(we)-393(re)15(gret)-393(to)-393(not)-392(include)-393(some)-393(ap-)]TJ 0 -11.955 Td [(proaches)-308(for)-308(the)-308(follo)25(wing)-308(reasons.)-485(First,)-322(due)-308(to)-309(the)-308(miss-)]TJ 0 -11.955 Td [(ing)-226(implementation)-226(details)-226(and)-226(h)5(yperparameter)-226(settings,)-231(we)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q 1 0 0 1 308.862 716.613 cm []0 d 0 J 0.797 w 0 0 m 236.25 0 l S Q 0 g 0 G BT /F79 9.9626 Tf 314.84 707.357 Td [(Algorithm)-250(1:)]TJ/F80 9.9626 Tf 57.553 0 Td [(Decoding)-250(Space)-250(Restriction)]TJ 0 g 0 G ET q 1 0 0 1 308.862 702.81 cm []0 d 0 J 0.797 w 0 0 m 236.25 0 l S Q 0 g 0 G 0 g 0 G BT /F79 8.9664 Tf 320.817 694.292 Td [(Input:)]TJ 0 g 0 G /F80 8.9664 Tf 27.195 0 Td [(Encoder)-250(hidden)-250(state)]TJ/F104 8.9664 Tf 77.442 0 Td [(M)]TJ/F80 8.9664 Tf 9.871 0 Td [(;)-250(User)-250(constraints)]TJ/F104 8.9664 Tf 64.996 0 Td [(S)]TJ/F80 8.9664 Tf 6.14 0 Td [(.)]TJ 0 g 0 G /F79 8.9664 Tf -185.644 -10.959 Td [(Output:)]TJ 0 g 0 G /F80 8.9664 Tf 33.668 0 Td [(Layout)-250(sequence)]TJ/F104 8.9664 Tf 62.747 0 Td [(O)]TJ/F80 8.9664 Tf 7.268 0 Td [(.)]TJ/F79 6.2267 Tf -111.778 -14.994 Td [(1)]TJ/F80 8.9664 Tf 8.095 0 Td [(Initialize)-250(step)-250(inde)15(x)]TJ/F104 8.9664 Tf 72.833 0 Td [(t)]TJ/F80 8.9664 Tf 3.328 0 Td [(,)-250(the)-250(back)-250(time)-250(for)-250(each)-250(step)]TJ/F104 8.9664 Tf 103.085 0 Td [(B)]TJ/F80 8.9664 Tf 9.661 0 Td [(and)]TJ -183.926 -10.959 Td [(the)-250(predicted)-250(sequence)]TJ/F104 8.9664 Tf 83.907 0 Td [(O)]TJ/F80 8.9664 Tf 7.268 0 Td [(.)]TJ/F79 6.2267 Tf -104.251 -10.959 Td [(2)]TJ/F79 8.9664 Tf 8.095 0 Td [(while)]TJ/F103 8.9664 Tf 22.667 0 Td [(\()]TJ/F104 8.9664 Tf 3.584 0 Td [(O)]TJ/F103 8.9664 Tf 7.268 0 Td [([)]TJ/F67 8.9664 Tf 2.56 0 Td [<00>]TJ/F103 8.9664 Tf 7.167 0 Td [(1])]TJ/F67 8.9664 Tf 9.727 0 Td [(6)]TJ/F103 8.9664 Tf 0 0 Td [(=)]TJ/F80 8.9664 Tf 9.728 0 Td [(EOS)]TJ/F103 8.9664 Tf 16.937 0 Td [(\))]TJ/F126 8.9664 Tf 5.826 0 Td [(and)]TJ/F103 8.9664 Tf 16.193 0 Td [(\()]TJ/F104 8.9664 Tf 3.584 0 Td [(t]TJ/F103 8.9664 Tf 8.665 0 Td [(\))]TJ/F80 8.9664 Tf 3.584 0 Td [(;)]TJ/F79 6.2267 Tf -141.154 -10.959 Td [(6)]TJ/F79 8.9664 Tf 23.039 0 Td [(if)]TJ/F103 8.9664 Tf 7.72 0 Td [(\()]TJ/F104 8.9664 Tf 3.583 0 Td [(P)]TJ/F44 5.9776 Tf 7.164 3.809 Td [(0)]TJ/F80 8.9664 Tf 4.926 -3.809 Td [(is)]TJ/F107 8.9664 Tf 8.222 0 Td [(?)]TJ/F103 8.9664 Tf 6.974 0 Td [(\))]TJ/F126 8.9664 Tf 5.825 0 Td [(and)]TJ/F103 8.9664 Tf 16.193 0 Td [(\()]TJ/F104 8.9664 Tf 3.584 0 Td [(B)]TJ/F103 8.9664 Tf 7.42 0 Td [([)]TJ/F104 8.9664 Tf 2.56 0 Td [(t)]TJ/F103 8.9664 Tf 3.327 0 Td [(])]TJ/F104 8.9664 Tf 2.56 0 Td [(-356(attrib)20(utes)-355(and)-356(are)]TJ 0 -11.955 Td [(dif)25<0263756c74>-412(to)-412(be)-413(applied)-412(to)-412(arbitrary)-412(datasets)-412(about)-413(graphic)]TJ 0 -11.955 Td [(layouts)-282([)]TJ 0 1 0 rg 0 1 0 RG [(27)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-152(29)]TJ 0 g 0 G [(].)-407(Ultimately)65(,)-291(we)-282(compare)-283(LayoutF)15(ormer++)]TJ 0 -11.956 Td [(ag)5(ainst)-201(1\))]TJ/F84 9.9626 Tf 40.483 0 Td [(NDN-none)]TJ/F80 9.9626 Tf 45.173 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(12)]TJ 0 g 0 G [(],)]TJ/F84 9.9626 Tf 21.19 0 Td [(LayoutGAN++)]TJ/F80 9.9626 Tf 63.056 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(8)]TJ 0 g 0 G [(])-201(and)]TJ/F84 9.9626 Tf 30.012 0 Td [(BL)20(T)]TJ/F80 9.9626 Tf 19.738 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(10)]TJ 0 g 0 G [(])]TJ -219.652 -11.955 Td [(on)-517(Gen-T)74(,)-518(2\))]TJ/F84 9.9626 Tf 61.48 0 Td [(BL)20(T)]TJ/F80 9.9626 Tf 22.888 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(10)]TJ 0 g 0 G [(])-517(on)-518(Gen-TS,)-517(3\))]TJ/F84 9.9626 Tf 89.509 0 Td [(NDN)]TJ/F80 9.9626 Tf 26.235 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(12)]TJ 0 g 0 G [(])-517(and)]TJ/F84 9.9626 Tf -200.112 -11.955 Td [(CLG-LO)]TJ/F80 9.9626 Tf 39.157 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(8)]TJ 0 g 0 G [(])-374(on)-375(Gen-R,)-374(4\))]TJ/F84 9.9626 Tf 73.849 0 Td [(R)40(UITE)]TJ/F80 9.9626 Tf 31.784 0 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(23)]TJ 0 g 0 G [(])-374(on)-375<7265026e656d656e742c>-405(5\))]TJ/F84 9.9626 Tf -144.79 -11.955 Td 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@ @ @ @ @ @ @ @!-_wPCwg*j$W@Ϲ3ys5q+ݙ 蹚8sL^\M 9ww&z&Nr;W=W'zݝɫ\=U@Iswg*j$W@Ϲ3ys5q+ݙ 蹚8sL^\M 9ww&z&Nr;W=W'zݝɫ\=U@Iswg*j$W@Ϲ3ys5q+ݙ 蹚8sL^\M 9ww&z&Nr;W=W'zݝɫ\=Up_Y/o|e=or\W=je2 @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ Jr3LO3 hVznL yj$[ : 3)I@sufR@ϓ^o%V0̤'J@ϭaI=Oz[0zz+s0 @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @S endstream endobj 497 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 282 /Interpolate true /Subtype /Image /Type /XObject /Width 188 /Length 2031 >> stream xOSwn˒-_,KEFf,YM3eScTPb[EQ(7^` Җ(?79O6yr_nn@@@@@@@@@@F ;y+_8J)Y ),:Me?><fo/o[z?g'oZ~J@A]DHf2^mj XQʅZk(޲hdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLزdFӄndƄ-Hfd=MFfLز쌲z-kO)zNw}y=MSt-C={Yn;go,;?zd= .y[o;ՔnOǶC3p{{f+b_oo~#Z)r(}J)%;wp-SC)%3W,>'Uߐ̨_dFT}C2~qR ɌHfI7$3W,> 'Uߐ̨_i  %Ï[)ܣ쓹Gp+#FJ>$rرRv \έ<$(<3t@@F,J@~#Yt`>Zз LҸ\{g'(wN)@fʄk%2SCdL(V 3% >)@fʄk%2SCdL(V 3% >) vݓR,NvER]4+J=7F{gfa%Nu*(_tOZv:    Lzɽ'#rȋ\6> stream xS}NI4؎fruiR9`K2Hs)I81`$Œ(H_7ڏ~^}vwe/@@@@y[z o_/N:ⷷ̊)[= tZ}x_W/[ՑNuu%9쉎#w{{u6U$Uo廵݉Z 8F[Vwnn&7![MoQ9~rdN 4:kp8jf6հq6:JUpB*⅏֍XKM>30i<[VkZlCE37n&nE7hViU۫Uuc!޹Vg0A=k'u$%^uYX5;gL& 0i=mpNwMpNw~uҒgS.fa fx60Xuxdb;pe.c);t?SsRqӍ%TǬ_CFsIHz.]LKpWgȜw'2ơʸ2V/Rph?ldd#$hFץr%e1)^//&GOR.]gϾ-3/8RR .īQn# :.\Ls egPny7oyQcIe2/ڐE*Te]IQގ&:Фu+3Sbݪ,YR_5s/Trk nWr;R_3W+dwegqĘܨ%eo( h;vFyֳz+_Q-:Zm2pgZtv={Z)!H L;w׷3tF Й|a} S3|xVEƆ>7TȞ&//Mݩ(d&]Io-|]!{Z~D#H ͟vwfEӆ^͉c)^q1ZZgjw}MAj.ي:*w]Iyb̽L1GYzFx=>Y9Jff٧B#yW?u3EL$; -Eg"n}:15Sv:Qcȋӟs=1 E8jhBڳ073O>Cx@ˑ^ǽi G@@"Q`yki$0ƘLqIѓ;ߏ+sG.+ %ЯKiR9Y;h``6pʼnS=kGOX+HX 7󨉑 1ASgS۶~9 ?qRPOΔg<٤|Y]􊘲$a& Nï8m_\!<;#νnXVih5Qx*ި:oљxr-BYtTe"$ .4.;h8?=(;G;k\z-%i+{@[ῶtx\Ylh\/ KCM/tfY{e q+143LUD{W0z7#Ы9֠|ԵM,X8щ@_WRv!                                                                                                  I2 endstream endobj 499 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 282 /Interpolate true /Subtype /Image /Type /XObject /Width 188 /Length 2905 >> stream xS?dtL:u3N_L|ԱS'vlǎ F'FqC@`ls :. ^XV8_Fv>G H    )ysd(Xhm/F3#36YPN/cVq3Q@V]&]̥%4ET_=.yU+zdO[(%.ISɟ[4,,؎|OT,WH]F,ϯwٿv2";S[v߬tW{+|jWBRted6v>NC5gn8"oD;shG%_%* ug†K /䙽{tFVa']T.tFȶ3rN b?#6Ag62 ȀM&ŰDh nwl͔3D*H3S'wt&P5Tc:gD}R7SvE>#Om$Cw$OvϽ_j7;LDƪϬ-bPɰEG,63??I-Nţ3X4,**Yc6   b+O$(/}8Yt<++xH%P^8@1k k* H%\NX͢zQX:KK)\J&J{ALgƻC)nP6zSm<ѝ (6xntiTW>`ֺo>֤ۖ|: Dnܙ}DC^M~{/_R&(*ɡљ$73iBXR$)IŒt&I4LP,3I n)@g҄bIRp#M:&%Li Й4X,)XW tDnα -%=5EDǘuzKzJg H-0h:r(\țo [<8<[m'V;|:` _rA+nkzwtLʧ 3k@RΤ$b5tf wS ЙD,FάnJ:Й5 M)@gR:)LJ"X#@gրp7@;n=i?<`ؤ"3BgL _tۈ6a8X+8W!+Q@㳐=:?)3ᱰc,B.x>Ewm1?pXv+Qn#:-/Z<& odr) gomC e,@g1rȩmẹ3rj+c[tF((茜Q<9 :#2Eg1rȩmẹng:۩C[Y_;D[#_gU+G.`fl/G;fpL@@@@@Xx5u].PNT)pyyE_O!G9 5;p;j_FOGT(0}b?um:G+ >Cy@;3X5}bBib7|M#ӣ Bmˏ ش[ z,$g#33SCDCDuaI@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Ph endstream endobj 500 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 2420 >> stream x1e1,RZhN,B*3۟79K7w|? @ @ @ @/G=|[߾~m珃a O S~~[n=㗏|Ãߝ6cn;ڟ?mp~ߝvյ?~S߿~Xwz^]D+{[+y=${k|o=o=?o=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHD@ϑCXc" !=Ga'D95&z0s֘yhHDg'p/޿}G[z>$g%$瓮-zIz>ޢg $瓮-zIz>ޢg $瓮-zIz>ޢg $瓮-zIz>ޢg $瓮-zIO=?c> @ @ @ @ @ @ @ @ @ @ @`*//!pq{|Gn%яhK@|=E=pDO|Q8@@.=_>GK@|=E=pDO|Q8@@.=_>GK@|=E=pDO|Q8@@.u% endstream endobj 501 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 2431 >> stream x1-1 SQđTM܃x:6{kO\ _vu7( ( ( ( ( ( ( (p_ُM~Ͽ(PP[YpWPSg ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]xfMth*s6݅g ܴMwᙁ<7m]ߟ~3Xu~>+Y!<97g93><r:>g#|yt|<G8<<(y>pxyQ<| x8ANGq3σg93><r:>g#|yt|<G8<<(y>pxyQ<| x8ANGq3σg93><r:>g#|<g_߄<-_/<-_/<-_/W{]^ />C>+Y̟yAWx5||x~3o zǫsDy~}cգ|>?^> '$j<8g$|$q(ϏW#7<lj< G|~_}>A<?N 7I\=y 9q"FWσoyyAAWx5||x~3o zǫsDy~}cգ|>?^> '$j<8g$n!gƍ^yϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjW.s8V pZռ <5<\ppǭy5<;nϫy 9qx^kx[-j^xwjq? 7<ϿQ |ljey<&ey<&ey<&ey<&ey<&ey<&ey<&ey<&ey<&ey<&ey<&eyʌ9(g x! ( ,O endstream endobj 502 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 282 /Interpolate true /Subtype /Image /Type /XObject /Width 188 /Length 2943 >> stream xSTit3tI'Z&1ӴMҘjg41V2iQ ={DYY岀a]4j;6t2gmMlv㞇|\GD@D@D@D@D@D@D@Di2F6@bfSjwFI*FoZTGZ180U0ʹiTIXɦ9lZ aT7ǭQf lh ˂}LY[rf3xM+=5Ps9q-rq}LV{OiGLjWCoٖrf}G~茽ێ]/ttG~"g6ëJr&q& gTr&q& gTr&q& gTr&q& gTr&q& gTr&q& gTr&q& gTr&q&_g7ۻϚwlpC%jjӽKƙ^;=ێmtye7^JR>۔ :l*T-naz?0Kv,bӚas['N8|ַ|Ӛ@rb.b3V 27[ -kameM^sfa)j}:#gEl$gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN rg~UL9/b;9ʝ)gEl'gT3 w *wAPΔ3"3ܙr_vrA;SpN >1xZKEΤ2##!߭,W3_ţډ"֟f<UGL:rfOh'z( L$l^wdc"gp~IpOPi@q&cNRO<#gLו%L$[s_QxA/gg+7̽~E9?#gJ{/2P;pDh'wz7tɘ?'.'nMnwt2 ggI,\Y4Mo DF:ފ_^i6tc~HdK/kiyq!g<3XgyF ˭/觞 dїl r endstream endobj 503 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 282 /Interpolate true /Subtype /Image /Type /XObject /Width 188 /Length 2450 >> stream xOu?ZYZtֺVfnrZ:S~0M ?d CsGeWyQ؞^3T    \fg&憯͍ d,e:^oc?}͌d \ wO,cGܻaKlglG.+NȮMumyX.WZD3e%$h& oO$@3dx{"'6qr룿: L#^u*^"obv~2wߵF{xx@K׾tw&Vsifyf$bEƦG?m>IIVTB0/UfVx/+HB*!WUOU @$O*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFhF5qبͨ#@3vhQb4܎8JlTfTG Ќjp;4(QQ nGf%6*@3ЌFg3㽥ӃCS>W1֭{z3WeSy%=i뱙LPhݡO.!v 8tI.2z`K}V'4îfʦ_:3PF)4j$KҔrelj_,ܜ lh7A^u6^:^s$t`HQ]5e'RuӅ¤/1RM`]4c n4tj=0m{?9ԶLVUfVS<W&΄?6?fR+3zNMd:ZgΤ3U3\Y:r՞ӣuSտƟѦߟK=0XLksq̍tj5GO}SLGMpGgǯԮEIH%BٮZJvvTno/_]5_jmؐS{kWm?}8v;-9\mA~Q/DR r n\OHG@䟶ǒ>ak=qڅOqv.jg[';{g_[$@ b>q) endstream endobj 504 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 282 /Interpolate true /Subtype /Image /Type /XObject /Width 188 /Length 3554 >> stream xs??U+^F:m/`EV,`*VQRNU !ms# >oHBl6$ِp\!@Zocuꘞqwy8ݴ~ÓC_!?@@@@Ǘ]=|yAsCeo<"ͻf_xQkl3G@"T$믏5iGc<"ЌGh (hFkpЌE-@3ZE@7m}K"D"?_[4\ڕy/S*~",؞ЕhnaH$#3NU_< H$ Ǯ| #8#.﹒`` fq%ddFxp+ddF@̍|h9 H$ :|xiD"H0/muUju2x$IEi**hXZV?3ZVI*`Jw|[z|I<_I6[z"kO@"Rh& LV"Rh& LV"Rh& LV"Rh& f: \o)f H$ɟ\Ů~{A' %xu*f3xH*LP2EpO߆A# D`-}WND"H0vZS63$_=-$ ]fD6gh?ЌE-@3ZEf,Jh-4cQbG Ќl3=~igzueOo` H$%j^P5A+0OR`nYcn0N3x$IE=Uw0 H$ fzp۩cQD"H0[jF,+ H$Yױ{A'бFRI|^KO@"uz~SPvρi,4cQbG Ќl;ZfgX458[hƢĎ"@3%vn&n9oH$|SS-{\ )@ IEY}~e=M˂Ƨ<"$_ydYD"$_ ˇ[z}oi4cb-QfP4Rp0 ЌPfB F1B LH(@3F(B )8hZ(@3!X h&`#k̈́4cb-QfP4Rp0 ЌPfB F1B LH(@3F(Bcuθ<",iۉ3~D"H0e[7MȧF 􌫙?A_}")9ǝ{u 2^լWi(&huu<oʅgEi}1]\׶U.p9U.lwqf2\I%LxֹDޒD{y0rSoٜޭw ?inx4_:w$J[rdO.)_t)pE$u^*-Fd 6|tәGqj H0c/>4ű/>>z.}rOmޫ:ܝ[g^PwߨN[s- vi(]೏{{@@@@@@@@@b endstream endobj 505 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 139 /Interpolate true /Subtype /Image /Type /XObject /Width 93 /Length 1618 >> stream xOw?qɖY׵ɖ>PԮv>(Vy!X@8@]lne`A>杋p}}}IH)Vum?_D`?8,%FX]\:31'ホt-p,Y-{J{ֱ${nw#Aq]mjgn`gݹʨ#sg[>"cte /_.A4E2crŒ7]ZG(e0TKXbj Kܑ_R痔%Yr Kq驧76s|/YbI}=!o7F~ &GN_# ,B2zG3t. v 79זv$EUτ? 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[(tasks)-196(in)-196(terms)-196(of)-197(both)-196(better)-196(g)10(ener)15(ation)-196(quality)-196(and)-197(less)-196(con-)]TJ 0 -11.955 Td [(str)15(aint)-250(violation.)]TJ/F79 11.9552 Tf 0 -38.605 Td [(1.)-250(Intr)18(oduction)]TJ/F80 9.9626 Tf 11.955 -19.842 Td [(Graphic)-239(designs)-239(greatl)1(y)-239(f)10(acilitate)-239(information)-239(communi-)]TJ -11.955 -11.955 Td [(cation)-276(in)-276(our)-275(daily)-276(life.)-388(During)-276(its)-275(creation,)-283(the)]TJ/F84 9.9626 Tf 191.376 0 Td [(layout)]TJ/F80 9.9626 Tf 24.906 0 Td [(,)-282(i.e.,)]TJ -216.282 -11.955 Td [(positions)-392(and)-392(sizes)-392(of)-392(elements,)-428(plays)-392(a)-392(critical)-392(role.)-736(T)80(o)]TJ 0 -11.956 Td [(assist)-347(layout)-346(design,)]TJ/F84 9.9626 Tf 85.597 0 Td [(conditional)-347(layout)-346(g)10(ener)15(ation)]TJ/F80 9.9626 Tf 120.12 0 Td [(,)-371(which)]TJ -205.717 -11.955 Td [(tak)10(es)-248(user)-247(constraints)-248(as)-247(input)-248(and)-247(generates)-248(layouts)-247(as)-248(out-)]TJ 0 g 0 G ET q 1 0 0 1 50.112 90.415 cm []0 d 0 J 0.398 w 0 0 m 94.499 0 l S Q BT /F80 5.9776 Tf 60.971 82.492 Td [(*)]TJ/F80 7.9701 Tf 3.487 -1.492 Td [(W)80(ork)-250(done)-250(during)-250(an)-250(internship)-250(at)-250(Microsoft)-250(Research)-250(Asia.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G ET 1 0 0 1 308.862 351.873 cm q .61685 0 0 .61685 0 0 cm q 1 0 0 1 0 0 cm /Im1 Do Q Q 0 g 0 G 1 0 0 1 -308.862 -351.873 cm BT /F80 8.9664 Tf 308.862 337.074 Td [(Figure)-279(1.)-396(Comparing)-279(with)-279(pre)25(vious)-279(conditional)-279(layout)-278(generation)]TJ 0 -10.959 Td [(approaches,)-356(LayoutF)15(ormer++)-335(performs)-335(better)-335(on)-335(suf)25<026369656e74>-334<0365>15(xi-)]TJ 0 -10.959 Td [(bility)-250(and)-250(good)-250(controllability)65(.)]TJ 0 g 0 G 0 g 0 G /F80 9.9626 Tf 0 -27.419 Td [(put,)-415(attracts)-383(great)-382(attention)-382(\(see)-383(Figure)]TJ 1 0 0 rg 1 0 0 RG [-382(1)]TJ 0 g 0 G [(\).)-707(It)-382(is)-383(dif)25(ferent)]TJ 0 -11.955 Td [(from)-254(unconditional)-254(layout)-253(generation,)-255(which)-254(generates)-254(lay-)]TJ 0 -11.955 Td [(outs)-365(freely)-365(without)-365(constraints,)-394(from)-365(at)-365(least)-365(tw)10(o)-365(aspects.)]TJ 0 -11.955 Td [(First,)-298(the)-289(model)-288(should)-289(be)-289(able)-288(to)-289(handle)-288(di)25(v)15(erse)-289(user)-289(con-)]TJ 0 -11.955 Td [(straints,)-225(called)]TJ/F84 9.9626 Tf 59.475 0 Td [(suf)18<026369656e74>-218<0365>20(xibility)]TJ/F80 9.9626 Tf 74.852 0 Td [(.)-299(Figure)]TJ 1 0 0 rg 1 0 0 RG [-219(2)]TJ 0 g 0 G [-218(sho)25(ws)-218(6)-219(typical)]TJ -134.327 -11.955 Td [(tasks)-223(of)-223(layout)-223(generation)-223(in)-223(real-w)10(orld)-223(applications)-223(includ-)]TJ 0 -11.956 Td [(ing)-239(layout)-239(completion,)-241(layout)-239<7265026e656d656e742c>-241(layout)-239(generation)]TJ 0 -11.955 Td [(conditioned)-269(on)-269(element)-269(types,)-273(element)-269(types)-269(with)-269(sizes,)-274(el-)]TJ 0 -11.955 Td [(ement)-286(relationships,)-296(or)-287(an)15(y)-286(of)-287(their)-286(combinations.)-420(Second,)]TJ 0 -11.955 Td [(the)-354(model)-353(should)-354(generate)-353(layouts)-354(conforming)-354(to)-353(user)-354(re-)]TJ 0 -11.955 Td [(quirements)-366(\(i.e.,)-395(constraints\))-366(as)-366(man)15(y)-367(as)-366(possible)-366(without)]TJ 0 -11.956 Td [(harming)-250(quality)65(,)-250(called)]TJ/F84 9.9626 Tf 93.986 0 Td [(good)-250(contr)45(ollability)]TJ/F80 9.9626 Tf 81.474 0 Td [(\(see)-250(Figure)]TJ 1 0 0 rg 1 0 0 RG [-250(1)]TJ 0 g 0 G [(\).)]TJ -163.505 -15.454 Td [(Ho)25(we)25(v)15(er)40(,)-359(e)15(xisting)-336(w)10(ork)-337(cannot)-337(meet)-337(the)-337(abo)15(v)15(e)-337(tw)10(o)-337(re-)]TJ -11.955 -11.955 Td 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[(and)-376(BL)92(T)-377([)]TJ 0 1 0 rg 0 1 0 RG [(10)]TJ 0 g 0 G [(])-376(cannot)-377(handle)-376(element)-376(relationships.)-690(Such)]TJ 0 -11.955 Td [<7461736b2d73706563690263>-413(approaches)-414(hinder)-413(the)-414(de)25(v)15(elopment)-413(of)-414(solu-)]TJ 0 -11.955 Td [(tions)-388(for)-388(the)-389(ne)25(w)-388(task.)-724(Second,)-423(there)-388(are)-389(no)-388(satisf)10(actory)]TJ 0 -11.955 Td [(methods)-344(to)-343(ensure)-344(good)-343(controllability)65(.)-591(Some)-344(approaches)]TJ 0 -11.956 Td [(directly)-311(replace)-311(the)-311(v)25(alues)-311(in)-311(the)-311(predicted)-311(layout)-311(with)-311(the)]TJ 0 -11.955 Td [(ones)-264<7370656369026564>-264(in)-264(the)-264(user)-264(constraints)-264([)]TJ 0 1 0 rg 0 1 0 RG [(3)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-139(10)]TJ 0 g 0 G [(].)-352(Another)-264(w)10(ork)]TJ 0 -11.955 Td [<6465026e6573>-424(a)-424(s)1(et)-424(of)-424(heuristic)-424(rules)-423(and)-424(le)25(v)15(erages)-424(latent)-424(opti-)]TJ 0 -11.955 Td 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TzWi\Ƚz>g?(^%=s-^=Yϻzߓy>n[vB?"]=e_[M;nW#鹣;™wܮ>^㟹yE;wܮ>^Ե#puazøE&sן]/ dnHϻ-{Yӗ*,Ha:׫BoW\񃟯6.[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/͵#0RfDuϻ?*Kq.=^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!ő/:n#ц%t^p븅GFt^p븍DyRy6mXK[HqdKHa /:n!őw8_7#@@@@@@@@@@@@@@@@@@ endstream endobj 529 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3499 >> stream xAF18^&f&H'RD#,~9}]VZu@@@@@@@@@@@@@@@@@@@@@@U ?&At@vzt}[ nzyv<{?syEMً''nϳ=O37=ONg/zgnw ϟ~LfLz^[=?Tzs.䵦zkVz΅Tz~bYϹךYϯUl~Z=?矿+uTϏ~yue?]zKo`~~/ea?Yvz<=y |_鵺Ev=G_PϏyzO~~碁- 2=3)^pm6,[-eKۖh^:/uB[Ft^pm6,[-eKۖh^:/uB[Ft^pm6,[-eKۖh^:/uB[Ft^.n2%z{nWQ][_[mKa /:n!-#^:/uܶDyR2[mKa /:n!-#^:/uܶDy&#=w=bG@zy]z3Jzy]zS󮞿?UnU2t̤,{%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/:n[ Kxq )ny%ڰ n/k"n;:M@z>G׳?ӟg=n#|d,==O7~?5SS~ nmysMMً''nϳ=O37=ONg/zgnz>^<em O~pgyzmtD 2 )'nQ]+{<^<^<^<^<> stream xQF䇬#+:<%`}8 _w$FQJ={# ?? H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@S o?yd l;oq$v%kNDnձfzJ Ep"r˸!?K>gdfLCia>gp"r˸>!?K '">3 yKRDq}B~82,NDn7}f2wML×0,=Ɖ-Lpd.Y.2nd'އ/aX{&K[ƭ\\8e5O3_°L'"[3=Ñdp"r˸3kϟgza,5NDngz #srDqg&s> sY>/eyKey\|L_Z^&NfL}.~ cyV]R*d'λR;Ws{E/{j>/WKg}g}gpGG 3}o5y!&1>us"+Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1Խ5Ĥ1um?ZFFbo\~J۳^kug9veλ( G|{\YҶf#9б+=v>ig(mkL6Wۉ>8zm3o:*><Ǥ)}>&G&O1)}>2yJGIS:|LJLcR|d>Z eזG4dxǞK;#=H]카1M;Ci[4sig=Jۚ{r;`7{d|LN3n8]f빴 GxM;̱+=v>ig(mn8ڥɕf깴 GxM;̱+=v>ig(mn8ڥɕf깴 GxM;̱+=v>ig(mn8ڥɕf깴 GxM;̱+=v>ig(mn8ڥɕf깴 GxM;̱+=v%p۽W=k~48!y|5mt㛤]fh,H@3c_Tw%}f>{ ne!4JGtuh "Pde>gCCtϠ;a(<|NgНw0}>D3λf>t]3 Eg 3yy CCtW6q$px!#:;$  |wXHz Zp3-z5 /Q/ϋ]/G'0_ǣ)ϙ~n9*s#Ci+?8 GC1g}~m>xhS<M}燪;ܶ>P6YpP[pC!poӟw,xg}3+_YRz7}mf'R-/f>o -U3H #}^Jm3 H7*>/}iaϛBK Hxی>0M }iaKimFAZR>046 -yShBAZRogF)T -y)3H #}ZgFf>o -U3H #}^Jm3 H7*>/}iaϛBK hA[ h5,Ḫsۃ oq/6> 3b cFgꮩ>ϓyەWƌ|?3J]Ә>s >31#}"+}fVwMcF`wiݷm.Uqgce>}Jw8P9Z>G^>?}k} Xo|9a3YmϜ>3զ̉3YmϜ>3զ̉3YmϜ>3զ̉3YmϜ>3զ̉3YmϜ>3զ̉3YmϜ>3զ-/&GZMZjYp3-/Hӑ>/(-lIgg>Z\gύGFCyk+}^0}ŷAs;Ou}Ez=>g>gs.gnq;ϹsƟs>>g>gs.gnq;ϹsƟs>>g>gs.gnq;ϹsƟs>>g>gs.gnq;ϹsƟs>>g>gs.gnn~[~#I@V4w̆/sf>o4 H#-3p.22,,bsadkZGfg5",,b_#>Ϥù0cBȲ}EUhYE՜ kBȲ}}4kZG<"Ì!s+K ""9FVfneydVs.2q+K ""9ҘhYL: 3̭,-,4,\dYŚYDY͹Ȱƭ,-,4,Hcfney3p.22,,bsadkZGfg5",,b_#>Ϥù0cBȲ}EUhYE՜ kBȲ}}4kZG<"Ì!s+K ""9FVfneydVs.2q+K ""9ҘhYL: 3̭,-,4,\dYŚYDY͹Ȱƭ,-,4,Hcfney3p.22,,bsadkZGfg5",,b_#>Ϥù0cBȲ}EUhYE՜ kBȲ}}4kZG<"Ì!s+K ""9FVfneydVs.2q+K [3a ,ps&˽;>i,Je1C|6c#Ќ|iye&ECVEEs.2b@,"\dXVEEs1_37в"* ,"jE5neiaYdYľ>G5s-GLҦ%v6/-\>%2\Iuc1Sk'shWx< zsn•yL2\?FT.q?'->z|LOB62"i ?D!- f_@3 sS3~!}P`s/DL}`9C]Z>g 09Y" u>g0kB., H@_޿篆$R{oʳ jYR##PB H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$UE endstream endobj 531 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3532 >> stream xA$E5iuhEZ7h4.&!=YvCpyE19wO( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( (T?IFMxm7? .}/qnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{Nfmwnܦy{NvC|*~p^{%3 %nx= Wس= = W$X_8/)K_19g{~bٞSO4蛟/pҙ~lbٞg]g{~Vl\ȳ=]$c{N/X{.`7 r3i2EmKwvѭs\rn:-CܥE Rr]]tܶD qn:7Hq%wvѭs-<]]t -ܥEmKwvѭs\rn:-CܥE Rr]]tܶD qn:7Hq%wvѭs-<]]t -ܥEmKwvѭs\ZI l^W\4n@咿gdnۖh![)n..un[Kn咻tֹm..unK$-evt㛟e)?EmKwvѭs\rn:-CܥE Rri' =sz7?_sKI.un[Kn咻tֹm..unK[%ZxtֹA[.]$3{ɼlϐ.ٳ=?.Zxa{gqٞ-=3Kg?Iqk ( 㗟|~ZϗiMYVK̟{~0ٞrμ˞2g{9.{3ʞ+̻ٞ,{+{箜3g{>ٞrμ˞2g{9.{3ʞ+̻ٞ,{+{箜3g{>=|*K{/}M۽=sWΙwٳ=YfVl]9ge|f[ٳ=wy=evoeܕs]lgٽ=sWΙwٳ=YfVl]9ge|f[ٳ=wy=evoeܕs]lgٽ=sWΙwyMǞF'߁vs}wiOѰg{~bٞSO<3{^If^W\4n@咿gdnۖh![)n..un[Kn咻tֹm..unK$-evNۻٞ%pg/==ܞ w@Z^~ntֹm[?Kn_..un/mtֹm[?Kn_..un/mtֹm[?Kn_..Oxi?sw]g{^ߴg{>oh|i|~О$p=ߴt㛟Wz]tܮ}]]tܺJ..un..un]rn:evtn:wKn2oKn[WܥEz7ݥEέ][v[Uz.wvѭs^fMwvѭs*~tֹ]/tֹu^]]tܮ}]]tܺJ..un..un]rn:evtn:wKn2o]$ 3{ɼlϐ.ٳ=?.Zxa{gqٞ-=O-/LpvxwĻ`7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v~>4蛟/pҙ~lb̞.~$m^W\4n@咿gdnۖh![)n..un[Kn咻tֹm..unK[%ZxtֹA[.Knۖh![)n..un[KnOa{>gK ` y<=㢅g{<wɞq =]${NKow{Kn v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v6}λsg7{Nn缋='v~>OyIP@P@P@P@P@P@P@P@P@P@P@P@P@P@P@P@P@x"G endstream endobj 532 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3695 >> stream xA$y3sp<.^= !ܣK)ŦӬZeW(4*= ~U=~H H H H H H H H H H H H H H H H H H H H H x?K/Q-ݏm?:^]rܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=}A T@A~dmQP~Kn3z&{=τݭg.ߥ$nLnwߥܶK=3m} lG+v##n=@=_zg깞g=z~Vm빞g=z~Vm빞g=z~Vm빞g=z~Vmy/_~Z߿uzg/YO빞Uzg/YO빞Uz!Oy?\ߌAg=^$q7 .m;v̭m?gݭm3[=wgwz&RnLnwߥܶK=3m}z&wOȈv|fnLnz [=T]K?IܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥݾz}* Ӡo~?2](?%[=gV3gvz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgw/|^ ㇀m?:_~n %eKn3Ki.$KlfnD+.]rI]f6s/ytvE"\Y&s=K{Th s=K{Th SzC)ZΔ߽󙒮{ݩg*\^ȳs=?XОp>G/_KLyV=UOl[]gǢ}z珄n?޶X^ϷeٻJVg*|__[zZϯnzb^ϷeٻJVg*|__[zZϯnzb^ϷeٻJVg*|__[zZϯnzb^ϷeٻJVg*|__[zZϯnzb^ϷeٻJVfg^ ߷U_=71Tϳ\ϳrz{9V\ϳrz{9V\ϳrz{9V\ϳrz{9V\ϳrz{9V\ϳrz{9V\ϳrz{9V7G%{9z_ӿn?oЭX=_{ :oA~dmQP~Kn3z&{=τݭg.ߥ$nLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭmH`;Zx۹^i2%%ʇlfn%eKn3Ki.$KlfnD+.]rI]f6s/y.]r]|Hvm&)^]f6s$ZvMRQv9nH2gRo~?ER]L..V>]f6s/y.]r]|Hvm&)^]f6s$ZvMRQvmvI!2%xɣvhCeKn37IG2%%ʇlfn%eKn3Ki.$KlfnD+.]rI]f6s/y.]r]|Hvm&)^]f6s$ZvMRQvmvI!g^$n4m?:ӿ|%[=gV3gvz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥܶK=3m}z&wgr۾.LV}]ݭm3[=wgwz&RnLnwߥݾz}* Ӡo~?2֣{ 3=? 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|<?;W%ZCQ<7=|eaq+:):>PIu&Rҁ?^ڤ:RSՁ_TgR*u*M3):>PIu&Rҁ?^ڤ:RSՁ_Iy|"oK&!O}Iԩt͋TgR*u*mhԤ:RS5ΤV%Z`c)) rNy8957+Y ( (~K}Sk_F/ϗ2ϯg_Cg_7<.~[;ᗭjo;n|z+y;|>{>Ό|>_wZ{vf3}Q^s~G\ٙKN+Όx/+y+;3|)i#ٙ=qegF>/;x~=;3羨c߿s#|ϏPڿggF<u> stream xA5yux YI!l 'xldf< G DC Tҩ>~ۿ H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@ oq$ 48)jܮn+~Ͽm}n<']]$>7ܮsyInW}9ɼύ$kds5}_xN2s9ꚾ/<'vuMxNr I}n<']]$>7ܮsyInW}9ɼύ$kds5}_xN2s9ꚾ/<'vuMxNr I}n<']]$>7ܮsy E/h' 5[JMnk&s~W<ܫx+7tOS<~T|>N}6% n)חyga _=-เ)JsǮf97|y<<]ͺsnX,uy>*yuYb|TV*yuYb|T6NC'ScY?o[ko<9gהY<9gהY<9gהY<9gהY<9gהY<9gהY<9gהY<9gהY<9gהY<9k9^&d 7|_ֻ/0oSx^S><)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+yYs<)+,ճ|>0oSxZf皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2k皜5g2ktsO o|>n.N\c:๡{:toO7y~<7tO<| M/=67ܮsyInW}9ɼύ$kds5}_xN2s9ꚾ/<'vuMxNr I}n<']]$>7ܮsyInW}9ɼύ$kds5}_xN2s9ꚾ/<'vuMn-x@ӈ 'f( H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$07#ʟ endstream endobj 556 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3126 >> stream x1fG1y$̂)y11@$͕s)^T._=o @ @ @ @ @ @ @ @~^~ \uzA!%-L\ |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=_, yS|}(ELO] |1=u]@'z^u=?7"@ @ @?~,P>@vt.:?;7=no]eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[]]enO%ۅ[VFxhlnbSvvᖹ.%ۅ[涘n]]enevvᖹ-[>eln[᳋YԞGt;}}_ۅFmgMϳn=򝛞gӷ.z;7=no]ǧts} yumUzs'Yϟmzs'Yϟmzs'Yϟmzs'Yϟmzz_~yӍ<s_ۛ!^箍O<׳?箍OpJY?/繁}Yۧг?k繐Ϻճ?k9y?աbg<-sk|klnb-sk|klnb-sk|klnb-sk|klnb-sk|klnb-sk|klnb-sk|klnb-sk|klnb-sk|klnb]%Ϟ˱~)g=z#𥡿 @ @ @ @ @ @ @ @ @ @ @7 endstream endobj 557 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3621 >> stream x15GF,AX d, H ! 3%M{ǭz]{Us? H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@/^Z} VN؋ܮ&͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nŞ+͞+nel*+ mYs--̋2nbJ/eZCy[ RlY%"[Kp^2/r˸A-+d^qk^*̭^W+2/m37{g^=5^_&|۞{(֞ mY{R^qkKEn7He̋2n-!zɼ-)y[ƭ%Z8D/e Ŗ^2/r˸D %"زKEnhd^q[Vzɼ--̋2nbJ/eZCy[ RlY%"[Kp^2/r˸A-+d^qkKEn7He̋2n-!zɼ-)y[ƭ%Z8D/e Ŗ^2/r˸D %"زKEnhd^q[Vzɼ--̋2nbJ/eZCyܼ*=g={笜{~KA|+ HE{@)Wmj [s-+d^qkKEn7He̋2n-!zɼ-)y[ƭ%Z8D/e Ŗ^2/r˸D %"زKEnhd^q[Vzɼ--̋2nbJ/eZCy[ RlY%"[Kp^2/r˸A-+d^qkKEn7He̋2n-!zɼ-)y[ƭ%Z8D/e Ŗ^2/r˸D %"زKEnhd^q[Vzɼ--̋2nbJ/eZCy[ RlY%"[Kp^2/r˸A-+d^qkKEn7He̋2n-!ËWEUB_|>`7W$0xՏo,ʞ 9kk|Vl\Y[{糊={U[ H@xA|ū"=#?;+At/|-m=W(|xȞ㞫?z=WE=w.V }s{e=W_[{ln{Q/_ʏ-㶺md^q깿3͞3؋+͞+n37{~2o_k|Y?ў27{cbWbofsbfsbfsbfs2zo=?{g͟YzUVG WzV07 \ݓ=W_+{gVl\Y[{糊巵g{Bڳ=U,=3r֞bmٞlgok̅={URCO?~d,8կ&|\o|=g س= |w>S?Oܞ=sƉs{ٞjĹ=Vl\qܞnwg{8qn|b;۳=Wm8g{>ٞ6N۳=mlU'ٞOzg{窍l'v[=sƉs{ٞjĹ=Vl\q{UxaX;1 aFGG&<[ڞz>gbVli{Gc{}=_[}dbϳߞz{%4]U:3(s3dsە=m ^̞9g{m={~=2*Zo:p[֎+m 3D +{S=ϖ~{hae{}=Co-yOOgV<[ڞ=s) ʞgKs=C=}>Ş!ZXli{gV٧3D gb-y=3D +{S=ϖ~{hae{}=Co-yOOgV<[ڞ=s) ʞgKs=C=}>Ş!ZXli{gV٧3D +{-m ʞ9{haeϳߞ!ZX>gb-y=s|S^+{S>]`p=ϖ~{hae{}=Co-yOOgV<[ڞ??xj{Sa]y=sݴ=}>Þ_{] li{?^W٧G&<[ڞz>gbVli{Gc{}=_[}dbϳߞz{%bÚWE$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@$  H@/G endstream endobj 558 0 obj << /BitsPerComponent 8 /ColorSpace 248 0 R /Filter /FlateDecode /Height 360 /Interpolate true /Subtype /Image /Type /XObject /Width 240 /Length 3418 >> stream x1E1) 4<9!8ĉ2s$W~ Žk~oC@@@@@@@@@@@@@@@@@@@@@\@n1_ KG noҹ9q;=^wnzNNϻ='Eω{s߹9q;=^wnzNNϻ='wyMI'/2{sS=oq%%i=߶WG+r=hگ7*M=h˒s,Y%-YϏXz.yM+83z{ޥg=߳٩Y9KzgSy?Jf)nK#2gY|eTԵI/eo|6=]ϳSQk ?y\$PN;mv=??}Ȝ=YzޢMzO׳unz}kwӳ-pE]|m{g=-k t=yoQg=_[ާY{v7=>]z[ԵYzޢMzO׳unz}kwӳ-pE]|m{g=-k t=yoQg=_[ާY{v7=>]z[ԵYzޢMzO׳unz}kwC{^\$P yZEc=oB`YrMtW"P _$|nxIu/͸9q;=p^MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;7='n݋MωyĿssvz޽9w/zN;: O>_d 7K$=ҳ{!ZճUl? 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}E&p'=O/[=߳Tzs.Y[=Y={&!i=߶^|~碁- ]Yye/uV yR\Yym8 nʊ nh!t^p븅WVt^p븭D[-[m%p/:n!ŕ/:n+цCxq )xq[6K[HqeKJ^:/uB++^:/uV yR\Y]^\@x"Y!                   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[(tak)10(es)-374(the)-374(constrained)-373(generation)-374(as)-374(an)-374(optimization)-374(prob-)]TJ 0 -11.955 Td [(lem.)-694(Ho)25(we)25(v)15(er)40(,)-409(these)-378(methods)-378(often)-378(decrease)-378(the)-378(genera-)]TJ 0 -11.955 Td [(tion)-305(quality)-306<7369676e690263616e746c79>65(.)-476(F)15(or)-305([)]TJ 0 1 0 rg 0 1 0 RG [(3)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-167(10)]TJ 0 g 0 G [(],)-319(directly)-305(resetting)-306(the)]TJ 0 -11.955 Td [(sequence)-337(will)-338(mak)10(e)-337(the)-337(generated)-338(layout)-337(de)25(viate)-337(from)-338(the)]TJ 0 -11.955 Td [(distrib)20(ution)-300(learned)-300(by)-299(model.)-460(F)15(or)-300([)]TJ 0 1 0 rg 0 1 0 RG [(8)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-163(12)]TJ 0 g 0 G [(],)-312(it)-300(is)-300(hard)-300(to)-300(de-)]TJ 0 -11.956 Td [<026e65>-285(the)-286(rules)-285(and)-286(cost)-285(functions)-286(to)-285(handle)-286(the)-285(trade-of)25(f)-286(be-)]TJ 0 -11.955 Td [(tween)-235(constraint)-234(satisf)10(action)-235(and)-234(generation)-235(quality)65(.)-305(Dif)25(fer)20(-)]TJ 0 -11.955 Td [(ent)-259(from)-260(e)15(xisting)-259(approaches,)-262(we)-259(introduce)-259(decoding)-260(space)]TJ 0 -11.955 Td [(restriction)-241(strate)15(gy)-240(to)-241(prune)-240(the)-241(infeasible)-241(v)25(al)1(ues)-241(during)-241(de-)]TJ 0 -11.955 Td [(coding)-307(process,)-320(which)-307(does)-306(not)-307(rely)-307(on)-306(sophisticated)-307(rules)]TJ 0 -11.955 Td [(or)-250(cost)-250(functions,)-250(and)-250(also)-250<027473>-250(the)-250(learned)-250(distrib)20(ution.)]TJ/F79 9.9626 Tf 11.955 -12.866 Td [(Decoding)-292(Methods.)]TJ/F80 9.9626 Tf 86.678 0 Td [(Decoding)-292(method)-292(plays)-292(an)-292(impor)20(-)]TJ -98.633 -11.955 Td [(tant)-280(role)-279(in)-280(autore)15(gressi)25(v)15(e)-280(generation.)-399(The)-280(most)-280(prominent)]TJ 0 -11.955 Td [(decoding)-409(methods)-410(include)-409(Greedy)-410(Search,)-449(Beam)-410(Search,)]TJ 0 -11.955 Td [(T)80(op-K)-516(sampling)-516(and)-517(T)80(op-P)-516(sampling)-516([)]TJ 0 1 0 rg 0 1 0 RG [(5)]TJ 0 g 0 G [(],)-583(etc.)-1109(T)80(o)-517(en-)]TJ 0 -11.956 Td [(able)-331(the)-330(control)-331(o)15(v)15(er)-331(the)-330(output)-331(sequence,)-351(constrained)-331(de-)]TJ 0 -11.955 Td [(coding)-513(is)-513<02727374>-513(proposed)-513(in)-514(controll)1(able)-514(te)15(xt)-513(generation.)]TJ 0 -11.955 Td [([)]TJ 0 1 0 rg 0 1 0 RG [(1)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-55(4)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-55(6)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-55(16)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-55(17)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-55(21)]TJ 0 g 0 G [(])-206(propose)-205(constrained)-205(decoding)-205(methods)-205(for)]TJ 0 -11.955 Td [(hard)-330(le)15(xical)-329(constraints)-330(where)-330(a)-330(set)-329(of)-330(tok)10(ens)-330(are)-330(required)]TJ 0 -11.955 Td [(to)-238(occur)-238(in)-238(tar)18(get)-237(output.)-238([)]TJ 0 1 0 rg 0 1 0 RG [(22)]TJ 0 g 0 G 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Td [(w)]TJ/F80 9.9626 Tf 10.829 0 Td [(and)-344(height)]TJ/F23 9.9626 Tf 46.149 0 Td [(h)]TJ/F80 9.9626 Tf 5.74 0 Td [(.)-592(The)-344(con-)]TJ -191.235 -11.955 Td [(tinuous)-411(attrib)20(utes)]TJ/F23 9.9626 Tf 74.42 0 Td [(x)]TJ/F80 9.9626 Tf 5.694 0 Td [(,)]TJ/F23 9.9626 Tf 6.992 0 Td [(y)]TJ/F80 9.9626 Tf 5.242 0 Td [(,)]TJ/F23 9.9626 Tf 6.993 0 Td [(w)]TJ/F80 9.9626 Tf 11.5 0 Td [(and)]TJ/F23 9.9626 Tf 18.486 0 Td [(h)]TJ/F80 9.9626 Tf 9.839 0 Td [(are)-412(quantiz)1(ed,)-452(which)-412(is)]TJ -139.166 -11.955 Td [(pro)15(v)15(en)-371(to)-371(be)-371(helpful)-371(for)-371(graphic)-371(layouts)-371([)]TJ 0 1 0 rg 0 1 0 RG [(2)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-211(3)]TJ 0 g 0 G [(,)]TJ 0 1 0 rg 0 1 0 RG [-211(23)]TJ 0 g 0 G [(].)-673(Thus,)]TJ 0 -11.956 Td [(an)-466(element)-467(can)-466(be)-467(represented)-466(by)-467<02>25(v)15(e)-466(tok)10(ens.)-960(F)15(ollo)25(w-)]TJ 0 -11.955 Td [(ing)-518(the)-518(state-of-the-art)-518(approaches,)-585(we)-519(re)1(p)-1(r)1(esent)-519(a)-518(lay-)]TJ 0 -11.955 Td [(out)-415(by)-416(concatenating)-415(all)-416(the)-415(elements')-416(tok)10(ens,)-456(i.e.,)]TJ/F23 9.9626 Tf 215.901 0 Td [(L)]TJ/F20 9.9626 Tf 12.6 0 Td [(=)]TJ/F26 9.9626 Tf -228.501 -11.955 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.874 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.494 Td [(x)]TJ/F19 6.9738 Tf 5.694 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(y)]TJ/F19 6.9738 Tf 4.885 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(w)]TJ/F19 6.9738 Tf 7.132 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.494 Td [(h)]TJ/F19 6.9738 Tf 5.74 -1.494 Td [(1)]TJ/F23 9.9626 Tf 6.13 1.494 Td [(:)-167(:)-166(:)-167(c)]TJ/F22 6.9738 Tf 17.594 -1.494 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.494 Td [(x)]TJ/F22 6.9738 Tf 5.694 -1.494 Td [(N)]TJ/F23 9.9626 Tf 7.556 1.494 Td [(y)]TJ/F22 6.9738 Tf 4.885 -1.494 Td [(N)]TJ/F23 9.9626 Tf 7.556 1.494 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.494 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.494 Td [(h)]TJ/F22 6.9738 Tf 5.74 -1.494 Td [(N)]TJ/F26 9.9626 Tf 7.556 1.494 Td [(h)]TJ/F80 9.9626 Tf 3.875 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.855 0 Td [(.)-309(Here,)]TJ/F23 9.9626 Tf 29.896 0 Td [(N)]TJ/F80 9.9626 Tf 11.563 0 Td [(de-)]TJ -223.528 -11.955 Td [(notes)-241(the)-241(total)-241(number)-241(of)-241(elements,)]TJ/F26 9.9626 Tf 141.987 0 Td [(h)]TJ/F80 9.9626 Tf 3.874 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F80 9.9626 Tf 6.276 0 Td [(and)]TJ/F26 9.9626 Tf 16.787 0 Td [(h)]TJ/F80 9.9626 Tf 3.875 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(i)]TJ/F80 9.9626 Tf 6.276 0 Td [(are)-241(spe-)]TJ -205.087 -11.955 Td [(cial)-250(tok)10(ens)-250(indicating)-250(the)-250(start)-250(and)-250(end)-250(of)-250(a)-250(sequence.)]TJ 11.955 -12.866 Td [(In)-364(this)-364(w)10(ork,)-393(we)-364(propose)-364(a)-364(ne)25(w)-364(approach)-364(named)-364(Lay-)]TJ -11.955 -11.955 Td [(outF)15(ormer++)-227(for)-228(conditional)-227(layout)-228(generation.)-302(The)-228(o)15(v)15(erall)]TJ 0 -11.955 Td [(model)-250(architecture)-250(is)-250(illustrated)-250(in)-250(Figure)]TJ 1 0 0 rg 1 0 0 RG [-250(3a)]TJ 0 g 0 G [(.)]TJ 0 g 0 G 0 g 0 G 270.705 629.037 Td [(T)80(o)-288(achie)25(v)15(e)-289(suf)25<026369656e74>-288<0365>15(xibility)65(,)-298(dif)25(ferent)-288(constraints)-289(are)]TJ -11.955 -11.955 Td [(formatted)-295(uniformly)-296(into)-295(sequence)-296(through)-295(constraint)-296(seri-)]TJ 0 -11.955 Td [(alization.)-363(The)-267(details)-268(of)-267(the)-268(constraint)-267(serialization)-268(scheme)]TJ 0 -11.955 Td [(will)-250(be)-250(introduced)-250(in)-250(Section)]TJ 1 0 0 rg 1 0 0 RG [-250(3.2)]TJ 0 g 0 G [(.)]TJ 11.955 -10.959 Td [(W)80(e)-218(le)25(v)15(erage)-218(a)-217(T)35(ransformer)-218(encoder)20(-decoder)-218(architecture)]TJ -11.955 -10.959 Td [(for)-370(LayoutF)15(ormer++)-370(based)-370(on)-370(the)-370(e)14(xperi)1(ence)-371(of)-370(pre)25(vious)]TJ 0 -10.959 Td [(w)10(orks.)-666(The)-369(bidirectional)-368(encoder)-369(tak)10(es)-368(the)-369(constraint)-369(se-)]TJ 0 -10.959 Td [(quence)-319(as)-319(input)-319(and)-319(outputs)-320(their)-319(conte)15(xtualized)-319(represen-)]TJ 0 -10.959 Td [(tations.)-457(The)-299(autore)15(gressi)25(v)15(e)-299(decoder)-300(iterati)25(v)15(ely)-299(predicts)-299(the)]TJ 0 -10.959 Td [(probabilities)-265(of)-265(future)-265(tok)10(ens.)-355(The)-265(model)-266(is)-265(trained)-265(to)-265(min-)]TJ 0 -10.959 Td [(imize)-250(the)-250(ne)15(g)5(ati)25(v)15(e)-250(log-lik)10(elihood)-250(of)-250(layout)-250(tok)10(ens,)-250(i.e.,)]TJ ET /S/Span<>BDC BT /F80 8.9664 Tf 361.703 570.385 Td [(minimize)]TJ/F41 5.9776 Tf 38.853 11.208 Td [(N)]TJ/F105 8.9664 Tf -3.443 -2.69 Td [(X)]TJ/F41 5.9776 Tf 0.609 -18.874 Td [(t)]TJ/F38 5.9776 Tf 2.851 0 Td [(=1)]TJ/F67 8.9664 Tf 11.387 10.356 Td [<00>]TJ/F103 8.9664 Tf 8.704 0 Td [(log)]TJ/F104 8.9664 Tf 13.439 0 Td [(P)]TJ/F59 5.9776 Tf 5.884 -1.063 Td [<12>]TJ/F103 8.9664 Tf 4.767 1.063 Td [(\()]TJ/F104 8.9664 Tf 3.583 0 Td [(L)]TJ/F41 5.9776 Tf 6.271 -0.997 Td [(t)]TJ/F67 8.9664 Tf 3.349 0.997 Td [(j)]TJ/F104 8.9664 Tf 2.56 0 Td [(L)]TJ/F41 5.9776 Tf 6.27 -0.997 Td [(]TJ/F80 9.9626 Tf 9.414 0 Td [(refers)-351(to)-351(the)-351(model)-351(parameters)-352(and)]TJ/F23 9.9626 Tf 146.587 0 Td [(N)]TJ/F80 9.9626 Tf -227.159 -11.955 Td [(denotes)-250(the)-250(length)-250(of)-250(the)-250(layout)-250(sequence.)]TJ 11.955 -11.956 Td [(Finally)65(,)-628(we)-552(introduce)-552(the)-552(decoding)-552(space)-552(restriction)]TJ -11.955 -11.955 Td [(strate)15(gy)-240(with)-240(a)-239(backtracking)-240(mechanism)-240(into)-240(inference)-240(pro-)]TJ 0 -11.955 Td [(cess)-304(to)-304(achie)25(v)15(e)-304(good)-305(controllability)65(.)-472(The)-304(details)-304(of)-305(the)-304(de-)]TJ 0 -11.955 Td [(coding)-250(space)-250(restriction)-250(strate)15(gy)-250(are)-250(gi)25(v)15(en)-250(in)-250(Section)]TJ 1 0 0 rg 1 0 0 RG [-250(3.3)]TJ 0 g 0 G [(.)]TJ/F79 10.9589 Tf 0 -19.508 Td [(3.2.)-250(Serializing)-250(Constraints)]TJ/F79 9.9626 Tf 0 -17.932 Td [(3.2.1)-1000(Principles)]TJ/F80 9.9626 Tf 0 -18.68 Td [(Instead)-420(of)-421(directly)-420(presenting)-421(concrete)-420(sequences)-420(for)-421(the)]TJ 0 -11.955 Td [(constraints)-292(considered)-293(in)-292(pre)25(vious)-293(w)10(ork,)-303(we)-292<02727374>-293(introduce)]TJ 0 -11.956 Td [(the)-343(principles)-342(for)-343(serializing)-342(constraints.)-588(These)-343(principles)]TJ 0 -11.955 Td [(not)-358(only)-359(summarize)-358(ho)25(w)-359(the)-358(e)15(xisting)-359(constraints)-358(are)-359(seri-)]TJ 0 -11.955 Td [(alized)-316(b)20(ut)-317(also)-316(pro)15(vide)-317(a)-316(general)-317(guidance)-316(for)-317(formulating)]TJ 0 -11.955 Td [(other)-336(constraints.)-569(There)-336(are)-337(tw)10(o)-336(critical)-336(questions)-336(in)-337(seri-)]TJ 0 -11.955 Td [(alizing)-315(constraints.)-504(First,)-331(ho)25(w)-315(to)-314(represent)-315(each)-315(constraint)]TJ 0 -11.956 Td [(in)-379(a)-379(s)1(equence)-379(format.)-697(Sec)1(on)-1(d,)-410(ho)25(w)-379(to)-379(combine)-379(dif)25(ferent)]TJ 0 -11.955 Td [(constraints)-250(into)-250(a)-250(complete)-250(sequence.)]TJ/F79 9.9626 Tf 0 -11.955 Td [(Constraint)-359(Repr)18(esentation.)]TJ/F80 9.9626 Tf 122.904 0 Td [(T)80(o)-359(present)-358(a)-359(constraint)-359(as)-358(a)]TJ -122.904 -11.955 Td [(sequence,)-256(the)-255(basic)-255(idea)-255(is)-255(to)-255<02727374>-256<6465026e65>-255(a)-255(set)-255(of)-255(v)20(ocab)20(ular)20(-)]TJ 0 -11.955 Td [(ies)-204(and)-204(then)-204(concatenate)-203(the)-204(tok)10(ens)-204(from)-204(these)-204(v)20(ocab)20(ularies.)]TJ 0 -11.955 Td [<53706563690263616c6c79>65(,)-250(the)-250(constraints)-250(often)-250(f)10(all)-250(into)-250(tw)10(o)-250(cate)15(gories.)]TJ 11.955 -11.956 Td [(First,)-432(some)-396(constraints)-396(are)-396(only)-396(related)-396(to)-396(a)-396(single)-396(el-)]TJ -11.955 -11.955 Td [(ement.)-954(F)15(or)-465(e)15(xample,)-519(put)-465(an)-465(image)-464(on)-465(the)-465(page)-465(or)-465(the)]TJ 0 -11.955 Td [(element)-459(should)-459(be)]TJ/F20 9.9626 Tf 81.231 0 Td [(10)]TJ/F80 9.9626 Tf 14.534 0 Td [(pix)15(el)-459(wide.)-937(The)-458(serialization)-459(for)]TJ -95.765 -11.955 Td [(such)-496(constraint)-497(is)-496(quite)-497(straightforw)10(ard:)-803(we)-496(just)-497<6465026e65>]TJ 0 -11.955 Td [(a)-436(v)20(ocab)20(ulary)-436(and)-437(then)-436(represent)-436(the)-436(constraint)-436(by)-437(a)-436(sin-)]TJ 0 -11.955 Td [(gle)-551(tok)10(en)-550(from)-551(the)-550(v)20(ocab)20(ulary)65(.)-1212(F)15(or)-550(e)15(xample,)-626(for)-551(the)]TJ 0 -11.956 Td [(constraints)-454(about)-454(element)-454(type,)-505(the)-454(v)20(ocab)20(ulary)-455(could)-454(be)]TJ/F26 9.9626 Tf 0 -11.955 Td [(f)]TJ/F82 9.9626 Tf 4.981 0 Td [(image)]TJ/F23 9.9626 Tf 29.888 0 Td [(;)]TJ/F82 9.9626 Tf 4.428 0 Td [(toolbar)]TJ/F23 9.9626 Tf 41.843 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F82 9.9626 Tf 22.139 0 Td [(button)]TJ/F26 9.9626 Tf 35.866 0 Td [(g)]TJ/F80 9.9626 Tf 4.981 0 Td [(,)-282(and)-276(the)-276(constraint)-276(`an)]TJ -144.126 -11.955 Td [(image')-250(can)-250(be)-250(represented)-250(as)]TJ/F82 9.9626 Tf 117.568 0 Td [(image)]TJ/F80 9.9626 Tf 29.888 0 Td [(.)]TJ -135.501 -11.955 Td [(Second,)-531(other)-475(cons)1(traints)-475(are)-475(related)-474(to)-475(multiple)-475(ele-)]TJ -11.955 -11.955 Td [(ments.)-925(F)15(or)-455(e)15(xample,)-506(put)-455(an)-455(image)-455(on)-455(top)-455(of)-455(a)-455(b)20(utton.)]TJ 0 -11.955 Td [(T)80(o)-594(distinguish)-594(the)-594(elements)-594(referred)-594(in)-594(the)-594(constraint,)]TJ 0 -11.956 Td [(we)-714<02727374>-714(b)20(uild)-715(a)-714(v)20(ocab)20(ulary)-714(representing)-714(unique)-715(IDs)]TJ 0 -11.955 Td [(for)-595(the)-594(elements.)-1344(Then,)-681(we)-595<6465026e65>-594(a)-595(v)20(ocab)20(ulary)-595(for)]TJ 0 -11.955 Td [(the)-558(relationships)-559(between)-558(elements.)-1235(At)-558(last,)-635(we)-559(con-)]TJ 0 -11.955 Td [(catenate)-624(the)-624(tok)10(ens)-623(of)-624(element)-624(IDs)-624(and)-624(relationships.)]TJ 0 g 0 G 0 g 0 G ET Q Q q 1 0 0 1 0 0 cm /9VWum4_XR8mHj-xqi9LzHQ Do Q endstream endobj 590 0 obj << /Length 21863 >> stream q q 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 71.033 608.942 cm q .53394 0 0 .53394 0 0 cm q 1 0 0 1 0 0 cm /Im3 Do Q Q 0 g 0 G 1 0 0 1 -71.033 -608.942 cm BT /F80 7.9701 Tf 153.094 599.328 Td [(\(a\))-250(Model)-250(Architecture)]TJ 0 g 0 G ET 1 0 0 1 341.009 615.465 cm q .52412 0 0 .52412 0 0 cm q 1 0 0 1 0 0 cm /Im4 Do Q Q 0 g 0 G 1 0 0 1 -341.009 -615.465 cm BT /F80 7.9701 Tf 379.42 605.851 Td [(\(b\))-250(Input)-250(and)-250(Output)-250(Sequences)]TJ 0 g 0 G 0 g 0 G /F80 8.9664 Tf -329.308 -20.177 Td [(Figure)-309(3.)]TJ 1 0 0 rg 1 0 0 RG [-487(a)]TJ 0 g 0 G [-309(The)-308(o)15(v)14(er)1(all)-309(model)-309(architecture)-309(of)-309(LayoutF)15(ormer++,)-324(illustrated)-308(by)-309(taking)-309(the)-309(task)-309(Gen-R)-309(as)-309(an)-309(e)15(xample.)]TJ 1 0 0 rg 1 0 0 RG [-487(b)]TJ 0 g 0 G [-308(The)-309(e)15(xamples)-309(of)]TJ 0 -10.958 Td [(input)-250(and)-250(output)-250(sequences)-250(for)-250(dif)25(ferent)-250(conditional)-250(layout)-250(generation)-250(tasks)-250(through)-250(constraint)-250(serialization.)]TJ 0 g 0 G 0 g 0 G /F80 9.9626 Tf 0 -26.09 Td [(F)15(or)-511(e)15(xample,)-575(the)-511(v)20(ocab)20(ulary)-510(for)-511(element)-511(IDs)-510(could)-511(be)]TJ/F26 9.9626 Tf 0 -11.955 Td [(f)]TJ/F82 9.9626 Tf 4.981 0 Td [(image)]TJ/F19 6.9738 Tf 29.888 -2.062 Td [(1)]TJ/F23 9.9626 Tf 4.47 2.062 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F82 9.9626 Tf 22.139 0 Td [(image)]TJ/F22 6.9738 Tf 29.888 -2.062 Td [(K)]TJ/F18 4.9813 Tf 6.694 -0.996 Td [(1)]TJ/F23 9.9626 Tf 4.386 3.058 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F82 9.9626 Tf 22.139 0 Td [(button)]TJ/F19 6.9738 Tf 35.866 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F82 9.9626 Tf 22.139 0 Td [(button)]TJ/F22 6.9738 Tf 35.866 -1.494 Td [(K)]TJ/F21 4.9813 Tf 6.694 -0.996 Td [(t)]TJ/F26 9.9626 Tf 3.804 2.49 Td [(g)]TJ/F80 9.9626 Tf 4.982 0 Td [(,)]TJ -238.405 -11.955 Td [(and)-1200(the)-1201(v)20(ocab)20(ulary)-1200(for)-1200(relationships)-1200(could)-1201(be)]TJ/F26 9.9626 Tf 0 -11.955 Td [(f)]TJ/F82 9.9626 Tf 4.981 0 Td [(top)]TJ/F23 9.9626 Tf 17.933 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F82 9.9626 Tf 22.139 0 Td [(small)]TJ/F26 9.9626 Tf 29.888 0 Td [(g)]TJ/F80 9.9626 Tf 4.981 0 Td [(.)-362(Then,)-272(the)-268(constraint)-267(`an)-268(image)-267(on)-267(top)]TJ -79.922 -11.955 Td [(of)-250(a)-250(b)20(utton')-250(is)-250(represented)-250(as)]TJ/F82 9.9626 Tf 117.11 0 Td [(image)]TJ/F19 6.9738 Tf 29.887 -2.062 Td [(1)]TJ/F82 9.9626 Tf 10.004 2.062 Td [(top)-556(button)]TJ/F19 6.9738 Tf 59.333 -1.495 Td [(1)]TJ/F80 9.9626 Tf 4.47 1.495 Td [(.)]TJ/F79 9.9626 Tf -220.804 -12.069 Td [(Constraint)-573(Combination.)]TJ/F80 9.9626 Tf 122.787 0 Td [(T)80(o)-573(combine)-573(dif)25(ferent)-573(con-)]TJ -122.787 -11.955 Td [(straints,)-273(we)-268(concatenate)-268(their)-268(sequences.)-364(T)80(o)-268(ease)-269(the)-268(learn-)]TJ 0 -11.955 Td [(ing)-235(of)-236(neural)-235(netw)10(ork,)-239(we)-235(use)-236(a)-235<0278>15(ed)-236(order)-235(instead)-236(of)-235(a)-236(ran-)]TJ 0 -11.956 Td [(dom)-308(order)-307(when)-308(concatenating)-307(dif)25(ferent)-308(constraints.)-483(First,)]TJ 0 -11.955 Td [(for)-274(the)-274(constraints)-274(only)-273(related)-274(to)-274(a)-274(single)-274(element,)-280(we)-274<02727374>]TJ 0 -11.955 Td [(concatenate)-340(those)-340(for)-340(the)-340(same)-340(element)-341(and)-340(then)-340(concate-)]TJ 0 -11.955 Td [(nate)-382(those)-382(from)-381(dif)25(ferent)-382(elements.)-705(Second,)-415(for)-382(the)-382(con-)]TJ 0 -11.955 Td [(straints)-321(related)-322(to)-321(multiple)-322(elements,)-339(we)-321(put)-322(them)-321(after)-322(all)]TJ 0 -11.955 Td [(the)-250(constraints)-250(for)-250(the)-250(single)-250(elements.)]TJ/F79 9.9626 Tf 0 -27.151 Td [(3.2.2)-1000(Examples)-250(f)25(or)-250(T)74(ypical)-250(T)92(asks)]TJ/F80 9.9626 Tf 0 -18.896 Td [(In)-219(this)-219(w)10(ork,)-225(we)-219(consider)-219(six)-219(typical)-219(layout)-219(generation)-219(tasks)]TJ 0 -11.955 Td [(which)-225(has)-225(been)-225(e)15(xplored)-225(in)-225(pre)25(vious)-225(w)10(ork.)-302(W)80(e)-225(demonstrate)]TJ 0 -11.955 Td [(ho)25(w)-315(we)-315(formulate)-316(the)-315(constraint)-315(sequences)-315(for)-316(t)1(h)-1(e)1(se)-316(tasks)]TJ 0 -11.955 Td [(according)-250(to)-250(Section)]TJ 1 0 0 rg 1 0 0 RG [-250(3.2.1)]TJ 0 g 0 G [-250(as)-250(follo)25(wed.)]TJ/F84 9.9626 Tf 11.955 -12.069 Td [(Gener)15(ation)-420(conditioned)-421(on)-420(types)]TJ/F80 9.9626 Tf 139.457 0 Td [(\(Gen-T\))-420(is)-420(to)-421(gener)20(-)]TJ -151.412 -11.955 Td [(ate)-358(layout)1(s)-358(from)-358(the)-357(element)-358(types)-357<7370656369026564>-358(by)-357(user)-358(con-)]TJ 0 -11.955 Td [(straints.)-294(W)80(e)-203(formulate)-203(the)-203(input)-203(constraint)-203(sequence)-203(by)-203(con-)]TJ 0 -11.956 Td [(catenating)-365(the)-365(single-element)-365(constraints)-365(of)-365(element)-365(type,)]TJ 0 -11.955 Td [(i.e.,)]TJ/F23 9.9626 Tf 17.155 0 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.494 Td [(Gen-T)]TJ/F20 9.9626 Tf 21.468 1.494 Td [(=)]TJ/F26 9.9626 Tf 10.516 0 Td [(fh)]TJ/F80 9.9626 Tf 8.855 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.875 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.494 Td [(1)]TJ/F26 9.9626 Tf 4.469 1.494 Td [(j)]TJ/F23 9.9626 Tf 2.768 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.494 Td [(2)]TJ/F26 9.9626 Tf 4.47 1.494 Td [(j)]TJ/F23 9.9626 Tf 4.427 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.284 0 Td [(j)]TJ/F23 9.9626 Tf 2.767 0 Td [(c)]TJ/F22 6.9738 Tf 4.312 -1.494 Td [(N)]TJ/F26 9.9626 Tf 7.556 1.494 Td [(h)]TJ/F80 9.9626 Tf 3.874 0 Td [(eos)]TJ/F26 9.9626 Tf 13.281 0 Td [(ig)]TJ/F80 9.9626 Tf 8.855 0 Td [(.)]TJ 1 0 0 rg 1 0 0 RG /F80 6.9738 Tf 2.491 3.616 Td [(1)]TJ 0 g 0 G /F84 9.9626 Tf -149.931 -15.685 Td [(Gener)15(ation)-330(conditioned)-330(on)-329(types)-330(and)-330(sizes)]TJ/F80 9.9626 Tf 176.188 0 Td [(\(Gen-TS\))-330(is)]TJ -188.143 -11.955 Td [(to)-361(generate)-360(layouts)-361(when)-361(user)-361(constraints)-360(specify)-361(the)-361(ele-)]TJ 0 -11.955 Td [(ment)-297(types)-297(and)-297(sizes.)-450(W)80(e)-297(formulate)-297(the)-297(input)-297(sequence)-297(by)]TJ 0 -11.955 Td [(concatenating)-246(the)-245(type,)-247(the)-246(width)-246(and)-245(the)-246(height)-246(constraints)]TJ 0 -11.955 Td [(as)]TJ/F23 9.9626 Tf 10.789 0 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.495 Td [(Gen-TS)]TJ/F20 9.9626 Tf 25.345 1.495 Td [(=)]TJ/F26 9.9626 Tf 10.516 0 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.874 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.495 Td [(w)]TJ/F19 6.9738 Tf 7.132 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.495 Td [(h)]TJ/F19 6.9738 Tf 5.74 -1.495 Td [(1)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 2.767 0 Td [(c)]TJ/F19 6.9738 Tf 4.312 -1.495 Td [(2)]TJ/F23 9.9626 Tf 4.469 1.495 Td [(w)]TJ/F19 6.9738 Tf 7.133 -1.495 Td [(2)]TJ/F23 9.9626 Tf 4.469 1.495 Td [(h)]TJ/F19 6.9738 Tf 5.74 -1.495 Td [(2)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 4.428 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.284 0 Td [(j)]TJ/F23 9.9626 Tf 2.767 0 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.495 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.495 Td [(h)]TJ/F22 6.9738 Tf 5.74 -1.495 Td [(N)]TJ/F26 9.9626 Tf 7.556 1.495 Td [(h)]TJ/F80 9.9626 Tf 3.874 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.856 0 Td [(.)]TJ/F84 9.9626 Tf -216.559 -12.069 Td [(Gener)15(ation)-240(conditioned)-240(on)-240(r)37(elationships)]TJ/F80 9.9626 Tf 163.464 0 Td [(\(Gen-R\))-240(gener)20(-)]TJ -175.419 -11.955 Td [(ates)-314(layouts)-314(conditioned)-314(on)-313(element)-314(relationships.)-502(F)15(or)-314(e)15(x-)]TJ 0 -11.955 Td [(ample,)-241(a)-240(user)-239(could)-239(e)15(xpect)-240(t)1(o)-240(put)-239(a)-239(lar)18(ge)-240(image)-239(at)-239(the)-239(top)-240(of)]TJ 0 -11.956 Td [(a)-284(small)-284(te)15(xt)-284(box.)-412(W)80(e)-284(formulate)-284(a)-284(relationship)-284(between)-284(tw)10(o)]TJ 0 -11.955 Td [(elements)-655(as)]TJ/F26 9.9626 Tf 56.763 0 Td [(f)]TJ/F23 9.9626 Tf 4.981 0 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.494 Td [(k)]TJ/F18 4.9813 Tf 4.236 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F24 4.9813 Tf 6.117 0 Td [<00>]TJ/F18 4.9813 Tf 5.397 0 Td [(1)]TJ/F23 9.9626 Tf 4.386 2.49 Td [(k)]TJ/F19 6.9738 Tf 5.187 -1.494 Td [(2)]TJ/F22 6.9738 Tf 3.971 0 Td [(m)]TJ/F25 6.9738 Tf 7.069 0 Td [<00>]TJ/F19 6.9738 Tf 6.227 0 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(r)]TJ/F22 6.9738 Tf 4.495 -1.494 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.391 0 Td [(m)]TJ/F24 4.9813 Tf 6.117 0 Td [<00>]TJ/F18 4.9813 Tf 5.396 0 Td [(1)]TJ/F22 6.9738 Tf 3.889 0.996 Td [(;k)]TJ/F18 4.9813 Tf 6.601 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F23 9.9626 Tf 7.114 2.49 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.494 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F23 9.9626 Tf 7.114 2.49 Td [(k)]TJ/F19 6.9738 Tf 5.186 -1.494 Td [(2)]TJ/F22 6.9738 Tf 3.972 0 Td [(m)]TJ/F26 9.9626 Tf 7.567 1.494 Td [(g)]TJ/F80 9.9626 Tf 4.982 0 Td [(,)-756(where)]TJ/F23 9.9626 Tf -201.889 -11.955 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.494 Td [(k)]TJ/F18 4.9813 Tf 4.236 -0.997 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F24 4.9813 Tf 6.117 0 Td [<00>]TJ/F18 4.9813 Tf 5.396 0 Td [(1)]TJ/F80 9.9626 Tf 11.04 2.491 Td [(and)]TJ/F23 9.9626 Tf 21.039 0 Td [(c)]TJ/F22 6.9738 Tf 4.312 -1.494 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.997 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F80 9.9626 Tf 13.767 2.491 Td [(are)-668(the)-668(element)-667(types,)]TJ/F23 9.9626 Tf 107.054 0 Td [(k)]TJ/F19 6.9738 Tf 5.187 -1.494 Td [(2)]TJ/F22 6.9738 Tf 3.971 0 Td [(m)]TJ/F25 6.9738 Tf 7.07 0 Td [<00>]TJ/F19 6.9738 Tf 6.226 0 Td [(1)]TJ/F80 9.9626 Tf 11.123 1.494 Td [(and)]TJ 0 g 0 G ET q 1 0 0 1 50.112 109.608 cm []0 d 0 J 0.398 w 0 0 m 94.499 0 l S Q BT /F80 5.9776 Tf 60.971 102.742 Td [(1)]TJ/F80 7.9701 Tf 3.487 -2.813 Td [(According)-229(to)-230(the)-229(practical)-229(e)15(xperience,)-234(we)-229(add)-230(the)-229(special)-229(tok)10(ens)]TJ/F43 7.9701 Tf 205.132 0 Td [(h)]TJ/F80 7.9701 Tf 3.293 0 Td [(sos)]TJ/F43 7.9701 Tf 10.186 0 Td [(i)]TJ/F80 7.9701 Tf -232.957 -9.464 Td [(and)]TJ/F43 7.9701 Tf 13.202 0 Td [(h)]TJ/F80 7.9701 Tf 3.294 0 Td [(eos)]TJ/F43 7.9701 Tf 10.624 0 Td [(i)]TJ/F80 7.9701 Tf 4.986 0 Td [(at)-213(the)-212(start)-212(and)-213(the)-212(end)-213(of)-212(the)-213(sequence,)-220(and)-212(use)-213(a)-212(separator)-213(tok)10(en)]TJ/F43 7.9701 Tf -32.106 -9.465 Td [(j)]TJ/F80 7.9701 Tf 4.345 0 Td [(to)-250(distinguish)-250(the)-250(single)-250(constraints.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G /F23 9.9626 Tf 254.405 467.627 Td [(k)]TJ/F19 6.9738 Tf 5.187 -1.495 Td [(2)]TJ/F22 6.9738 Tf 3.971 0 Td [(m)]TJ/F80 9.9626 Tf 13.017 1.495 Td [(are)-547(the)-547(inde)15(x)15(es)-547(for)-547(the)-547(elements,)-621(and)]TJ/F23 9.9626 Tf 169.448 0 Td [(r)]TJ/F22 6.9738 Tf 4.495 -1.495 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.39 0 Td [(m)]TJ/F24 4.9813 Tf 6.117 0 Td [<00>]TJ/F18 4.9813 Tf 5.397 0 Td [(1)]TJ/F22 6.9738 Tf 3.888 0.996 Td [(;k)]TJ/F18 4.9813 Tf 6.601 -0.996 Td [(2)]TJ/F21 4.9813 Tf 3.391 0 Td [(m)]TJ/F80 9.9626 Tf -229.137 -9.465 Td [(is)-681(an)-681(e)15(xtra)-682(tok)10(en)-681(introduced)-681(to)-681(denote)-681(one)-681(k)-1(i)1(nd)-682(of)]TJ 0 -11.955 Td [(relationships.)-1410(W)80(e)-617(concatenate)-617(the)-616(sequences)-617(of)-617(type)]TJ 0 -11.955 Td [(constraints)-719(and)-719(relationship)-719(constraints)-719(as)]TJ/F23 9.9626 Tf 191.881 0 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.494 Td [(Gen-R)]TJ/F20 9.9626 Tf 30.511 1.494 Td [(=)]TJ/F26 9.9626 Tf -228.501 -11.955 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.874 0 Td [(c)]TJ/F19 6.9738 Tf 4.312 -1.495 Td [(1)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 2.767 0 Td [(c)]TJ/F19 6.9738 Tf 4.312 -1.495 Td [(2)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 4.428 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.283 0 Td [(j)]TJ/F23 9.9626 Tf 2.768 0 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.495 Td [(N)]TJ/F26 9.9626 Tf 7.557 1.495 Td [(jj)]TJ/F23 9.9626 Tf 5.534 0 Td [(c)]TJ/F22 6.9738 Tf 4.312 -1.495 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(1)]TJ/F23 9.9626 Tf 4.386 2.491 Td [(k)]TJ/F19 6.9738 Tf 5.187 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.495 Td [(r)]TJ/F22 6.9738 Tf 4.495 -1.495 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(1)]TJ/F22 6.9738 Tf 3.889 0.996 Td [(;k)]TJ/F18 4.9813 Tf 6.601 -0.996 Td [(2)]TJ/F23 9.9626 Tf 4.386 2.491 Td [(c)]TJ/F22 6.9738 Tf 4.312 -1.495 Td [(k)]TJ/F18 4.9813 Tf 4.235 -0.996 Td [(2)]TJ/F23 9.9626 Tf 4.387 2.491 Td [(k)]TJ/F19 6.9738 Tf 5.186 -1.495 Td [(2)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 4.428 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.284 0 Td [(j)]TJ/F23 9.9626 Tf 2.767 0 Td 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[(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.856 0 Td [(,)-293(where)]TJ/F23 9.9626 Tf 32.576 0 Td [(M)]TJ/F80 9.9626 Tf 13.583 0 Td [(is)-284(the)-284(number)-284(of)-285(re-)]TJ -156.314 -11.956 Td [(lationships.)]TJ/F84 9.9626 Tf 11.955 -11.955 Td [<5265026e656d656e74>]TJ/F80 9.9626 Tf 48.713 0 Td [(applies)-428(local)-429(changes)-429(to)-428(the)-429(elements)-428(that)]TJ -60.668 -11.955 Td [(need)-541(impro)15(v)15(ements)-541(while)-541(maintaining)-541(the)-541(original)-541(lay-)]TJ 0 -11.955 Td [(out)-574(design.)-1280(W)80(e)-574(formulate)-573(the)-574(input)-574(a)1(s)]TJ/F23 9.9626 Tf 181.001 0 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.495 Td [<5265026e656d656e74>]TJ/F20 9.9626 Tf 41.391 1.495 Td [(=)]TJ/F26 9.9626 Tf -228.501 -11.955 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.874 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.495 Td [(x)]TJ/F19 6.9738 Tf 5.694 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.495 Td [(y)]TJ/F19 6.9738 Tf 4.885 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.495 Td [(w)]TJ/F19 6.9738 Tf 7.132 -1.495 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.495 Td [(h)]TJ/F19 6.9738 Tf 5.74 -1.495 Td [(1)]TJ/F26 9.9626 Tf 4.469 1.495 Td [(j)]TJ/F23 9.9626 Tf 4.428 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.283 0 Td [(j)]TJ/F23 9.9626 Tf 2.768 0 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.495 Td [(x)]TJ/F22 6.9738 Tf 5.694 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.556 1.495 Td [(y)]TJ/F22 6.9738 Tf 4.884 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.495 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.495 Td [(N)]TJ/F23 9.9626 Tf 7.557 1.495 Td [(h)]TJ/F22 6.9738 Tf 5.74 -1.495 Td [(N)]TJ/F26 9.9626 Tf 7.556 1.495 Td [(h)]TJ/F80 9.9626 Tf 3.875 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.855 0 Td [(.)]TJ/F84 9.9626 Tf -175.649 -11.955 Td [(Completion)]TJ/F80 9.9626 Tf 49.342 0 Td [(aims)-286(to)-286(compl)1(ete)-286(layout)-286(from)-286(a)-286(s)1(et)-286(of)-286(spec-)]TJ -61.297 -11.956 Td [<69026564>-433(elements.)-860(W)80(e)-433(formulate)-434(the)-433(input)-433(as)]TJ/F23 9.9626 Tf 182.808 0 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.494 Td [(Completion)]TJ/F20 9.9626 Tf 39.584 1.494 Td [(=)]TJ/F26 9.9626 Tf -228.501 -11.955 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(i)]TJ/F23 9.9626 Tf 3.874 0 Td [(c)]TJ/F19 6.9738 Tf 4.311 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.494 Td [(x)]TJ/F19 6.9738 Tf 5.694 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(y)]TJ/F19 6.9738 Tf 4.885 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.469 1.494 Td [(w)]TJ/F19 6.9738 Tf 7.132 -1.494 Td [(1)]TJ/F23 9.9626 Tf 4.47 1.494 Td [(h)]TJ/F19 6.9738 Tf 5.74 -1.494 Td [(1)]TJ/F26 9.9626 Tf 4.469 1.494 Td [(j)]TJ/F23 9.9626 Tf 4.428 0 Td [(:)-167(:)-166(:)]TJ/F26 9.9626 Tf 13.283 0 Td [(j)]TJ/F23 9.9626 Tf 2.768 0 Td [(c)]TJ/F22 6.9738 Tf 4.311 -1.494 Td [(P)]TJ/F23 9.9626 Tf 6.643 1.494 Td [(x)]TJ/F22 6.9738 Tf 5.694 -1.494 Td [(P)]TJ/F23 9.9626 Tf 6.643 1.494 Td [(y)]TJ/F22 6.9738 Tf 4.884 -1.494 Td [(P)]TJ/F23 9.9626 Tf 6.643 1.494 Td [(w)]TJ/F22 6.9738 Tf 7.132 -1.494 Td [(P)]TJ/F23 9.9626 Tf 6.643 1.494 Td [(h)]TJ/F22 6.9738 Tf 5.74 -1.494 Td [(P)]TJ/F26 9.9626 Tf 6.643 1.494 Td [(h)]TJ/F80 9.9626 Tf 3.874 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.856 0 Td [(,)-423(where)]TJ/F23 9.9626 Tf 34.918 0 Td [(P)]TJ/F80 9.9626 Tf 11.651 0 Td [(is)]TJ -229.605 -11.955 Td [(the)-250(number)-250(of)-250(kno)25(wn)-250(elements.)]TJ/F84 9.9626 Tf 11.955 -11.955 Td [(Unconstr)15(ained)-269(g)10(ener)15(ation)]TJ/F80 9.9626 Tf 107.346 0 Td [(\(UGen\))-269(aims)-269(to)-269(generate)-269(lay-)]TJ -119.301 -11.955 Td [(outs)-235(without)-235(an)15(y)-235(user)-235(requirements.)-305(W)80(e)-236(form)1(ulate)-236(the)-235(input)]TJ 0 -11.956 Td [(as)-372(an)-372(empty)-372(sequence)-372(with)-372(necessary)-372(special)-372(tok)10(ens,)-403(i.e.,)]TJ/F23 9.9626 Tf 0 -11.955 Td [(S)]TJ/F80 6.9738 Tf 6.109 -1.494 Td [(UGen)]TJ/F20 9.9626 Tf 19.919 1.494 Td [(=)]TJ/F26 9.9626 Tf 10.516 0 Td [(fh)]TJ/F80 9.9626 Tf 8.856 0 Td [(sos)]TJ/F26 9.9626 Tf 12.732 0 Td [(ih)]TJ/F80 9.9626 Tf 7.748 0 Td [(eos)]TJ/F26 9.9626 Tf 13.28 0 Td [(ig)]TJ/F80 9.9626 Tf 8.856 0 Td [(.)]TJ/F79 10.9589 Tf -88.016 -19.307 Td [(3.3.)-250(Decoding)-250(Space)-250(Restriction)]TJ/F80 9.9626 Tf 11.955 -17.933 Td [(During)-345(the)-344(inference,)-369(we)-345(introduce)-344(the)-345(decoding)-345(space)]TJ -11.955 -11.955 Td [(restriction)-374(strate)15(gy)-374(to)-374(the)-374(decoding)-374(process.)-682(Algorithm)]TJ 1 0 0 rg 1 0 0 RG [-374(1)]TJ 0 g 0 G 0 -11.955 Td [(presents)-226(the)-226(pseudo-code)-225(for)-226(the)-226(decoding)-226(space)-226(restriction.)]TJ 11.955 -11.956 Td [(In)-285(each)-285(decoding)-286(step)]TJ/F23 9.9626 Tf 90.488 0 Td [(t)]TJ/F80 9.9626 Tf 3.598 0 Td [(,)-294(the)-285(decoder)-285(predicts)-286(the)-285(proba-)]TJ -106.041 -11.955 Td [(bilities)]TJ/F23 9.9626 Tf 29.773 0 Td [(P)]TJ/F80 9.9626 Tf 10.425 0 Td [(of)-266(the)-265(possible)-266(v)25(alues)-265(for)-266(current)-265(attrib)20(ute.)-357(Then,)]TJ/F23 9.9626 Tf -40.198 -11.955 Td [(P)]TJ/F80 9.9626 Tf 11.58 0 Td [(will)-382(be)-381(pruned)-381(by)-382(tw)10(o)-381(modules.)-705(The)]TJ/F84 9.9626 Tf 158.947 0 Td [(Constr)15(aintPrun-)]TJ -170.527 -11.955 Td [(ing)]TJ/F80 9.9626 Tf 15.338 0 Td [(prunes)-262(t)1(he)-262(infeasible)-262(v)25(alues)-261(which)-262(may)-261(violate)-262(the)-261(user)]TJ -15.338 -11.955 Td [(gi)25(v)15(en)-204(constraints)]TJ/F23 9.9626 Tf 68.962 0 Td [(S)]TJ/F80 9.9626 Tf 6.683 0 Td [(.)-295(The)]TJ/F84 9.9626 Tf 22.945 0 Td [(Pr)45(obabilityPruning)]TJ/F80 9.9626 Tf 79.627 0 Td [(prunes)-204(the)-203(v)25(al-)]TJ -178.217 -11.956 Td [(ues)-250(which)-250(the)-250(probabilities)-250(are)-250(lo)25(wer)-250(than)-250(the)-250(threshold)]TJ/F23 9.9626 Tf 223.041 0 Td [<12>]TJ/F80 9.9626 Tf 4.954 0 Td [(.)]TJ -216.04 -11.955 Td [(If)-341(all)-340(the)-341(probabilities)-340(in)]TJ/F23 9.9626 Tf 103.3 0 Td [(P)]TJ/F25 6.9738 Tf 7.78 3.616 Td [(0)]TJ/F80 9.9626 Tf 6.188 -3.616 Td [(are)-341(pruned,)-363(it)-340(means)-341(there)]TJ -129.223 -11.955 Td [(is)-432(no)-433(feasible)-432(v)25(alue)-433(for)-432(current)-433(attrib)20(ute.)-857(W)80(e)-432(propose)-433(a)]TJ 0 -11.955 Td [(backtracking)-342(mechanism)-343(to)-342(solv)15(e)-343(this)-342(problem.)-588(When)]TJ/F23 9.9626 Tf 225.675 0 Td [(P)]TJ/F25 6.9738 Tf 7.78 3.615 Td [(0)]TJ/F80 9.9626 Tf -233.455 -15.57 Td [(is)-314(empty)-314(and)-314(the)-314(back)-314(time)]TJ/F23 9.9626 Tf 113.406 0 Td [(B)]TJ/F20 9.9626 Tf 8.057 0 Td [([)]TJ/F23 9.9626 Tf 2.767 0 Td [(t)]TJ/F20 9.9626 Tf 3.598 0 Td [(])]TJ/F80 9.9626 Tf 5.896 0 Td [(is)-314(less)-314(than)-314(the)-314(max)-314(back)]TJ -133.724 -11.955 Td [(time)]TJ/F23 9.9626 Tf 20 0 Td [(maxB)-50(ack)]TJ/F80 9.9626 Tf 42.841 0 Td [(,)-234(the)-229(backtracking)-230(mechanism)-229(will)-230(roll)-229(back)]TJ -62.841 -11.956 Td [(the)-377(decoding)-377(process)-376(to)-377(a)-377(pre)25(vious)-377(step)]TJ/F23 9.9626 Tf 167.139 0 Td [(t)]TJ/F25 6.9738 Tf 3.597 3.616 Td [(0)]TJ/F80 9.9626 Tf 6.55 -3.616 Td [(and)-377(restart)-377(the)]TJ -177.286 -11.955 Td [(prediction.)-324(Otherwise,)-256(the)-255(v)25(al)1(ue)]TJ/F23 9.9626 Tf 130.681 0 Td [(o)]TJ/F80 9.9626 Tf 7.366 0 Td [(will)-255(be)-254(sampled)-255(from)]TJ/F23 9.9626 Tf 87.628 0 Td [(P)]TJ/F25 6.9738 Tf 7.78 3.616 Td [(0)]TJ/F80 9.9626 Tf -233.455 -15.571 Td [(and)-201(the)-201(generation)]TJ/F23 9.9626 Tf 74.614 0 Td [(O)]TJ/F80 9.9626 Tf 9.877 0 Td [(will)-201(be)-201(updated.)-293(The)-201(decoding)-201(process)]TJ -84.491 -11.955 Td 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