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f (between) f(tw) o(o) h(fund) n(amental) g(prop) n(erties) h(of) e(the) h (motor) f(system:) 48 b(the) 31 b(ability) f(to) 450 3256 y(accomp) n(lish) 20 b(its) h(goal) e(reliably) g(and) g(repe) n (atedly) -5 b(,) 19 b(and) g(the) g(f) o(act) h(that) g(it) g(does) f (so) h(with) g(v) n(ariab) n(le) g(mo) o(v) o(e) n(-) 450 3348 y(ments) e([1) o(].) 25 b(More) 17 b(precisely) -5 b(,) 18 b(trial-to-) n(trial) h(\003uctuation) n(s) g(in) g(indi) n(v) n (idual) f(de) o(gr) n(ees) h(of) f(freedo) n(m) h(are) f(on) 450 3439 y(a) n(v) o(erag) n(e) 25 b(lar) o(ger) e(than) h(\003uctuations) g (in) g(task-rele) n(v) n(an) n(t) h(mo) o(v) m(ement) f(paramete) n (rs\227motor) g(v) n(ariab) n(ility) 450 3530 y(is) d(con) n(strained) f (to) f(a) h(redun) n(dant) g(or) f(\223unco) n(ntrolled) n(\224) i (manif) n(old) f([16) n(]) g(rather) f(than) g(being) g(suppr) n(essed) 450 3622 y(altogeth) n(er) -5 b(.) 43 b(This) 26 b(pattern) f(has) h (no) n(w) f(been) g(observ) o(e) n(d) h(in) g(a) g(long) f(list) i(of) f (beha) n(v) n(iors) g([1,) g(6) o(,) g(16) o(,) h(14) o(].) 450 3713 y(In) 19 b(conco) n(rdance) g(with) g(such) g(naturally) f(occurr) n(ing) h(v) n(ariability) -5 b(,) 18 b(e) o(xper) n(imentally) h(induc) n(ed) h(pertu) n(rba-) 450 3804 y(tions) 28 b([1) o(,) g(3,) g(12) o(]) g(are) g(compen) n(sated) g(in) g(a) h(w) o(ay) f(that) g(maintain) n (s) h(task) f(perfor) n(mance) g(rathe) n(r) h(than) e(a) 450 3896 y(speci\002c) 20 b(stereotypical) f(mo) o(v) o(e) n(ment) h (pattern.) 450 4037 y(This) 26 b(bod) n(y) g(of) f(e) n(viden) n(ce) h (is) h(fun) n(damentally) d(incompa) n(tible) i(with) g(standard) e (models) h(of) h(moto) n(r) g(co-) 450 4128 y(ordin) n(ation) f(that) f (enfor) n(ce) h(a) g(strict) h(separatio) n(n) f(between) f(trajectory) f(plannin) n(g) i(and) f(trajectory) g(e) o(x) o(e) n(-) 450 4219 y(cution) j([2) o(,) h(8,) g(17) o(,) g(10) o(].) 47 b(In) 28 b(such) f(serial) h(plannin) n(g/e) o(x) o(ec) n(ution) f (models,) i(the) f(role) f(of) h(the) f(plannin) n(g) 450 4311 y(stage) h(is) g(to) g(resolv) o(e) f(the) h(redu) n(ndan) n(c) o (y) g(inher) n(ent) g(in) g(the) f(musculo-) n(sk) o(eletal) h(system,) i(by) d(replacin) n(g) 450 4402 y(the) c(beha) n(vio) n(ral) h(goal) e (\(achie) n(v) n(a) n(ble) i(via) f(in\002nitely) f(man) o(y) g(mo) o (v) o(e) n(ment) h(trajectories\)) f(with) i(a) f(speci\002c) 450 4493 y(\223desired) h(trajector) n(y) -5 b(.) f(\224) 38 b(Accurate) 24 b(e) o(x) o(e) n(cution) g(of) g(the) h(desired) e (trajectory) h(guar) n(antees) h(achie) n(v) m(ement) 450 4585 y(of) c(the) h(goal,) g(and) f(can) g(be) h(implemen) n(ted) g (with) g(relati) n(v) o(e) n(ly) g(simple) g(trajectory) n(-trackin) n (g) g(algorith) n(ms.) 450 4676 y(While) g(this) f(appro) n(ach) g(is) h (compu) n(tationally) e(viable) h(\(and) f(often) g(used) h(in) h(eng) n (ineering) n(\),) g(the) f(nume) n(r) n(-) 450 4767 y(ous) h(obser) n (v) n(ations) f(of) h(task-con) n(strained) f(v) n(ariability) g(and) g (goal-d) n(irected) g(correctio) n(ns) h(indicate) f(that) 450 4859 y(the) c(online) f(e) o(x) o(ecu) n(tion) h(mecha) n(nisms) h(are) f(able) f(to) h(distinguish,) g(and) f(selecti) n(v) o(ely) g(enforce) n (,) i(the) f(details) 450 4950 y(that) j(are) f(crucial) g(for) g(the) g (achie) n(v) o(e) n(ment) g(of) h(the) f(goal.) 24 b(This) c(w) o(ould) f(be) g(impossible) g(if) h(the) f(beha) n(vio) n(ral) p 90 rotate dyy eop %%Page: 2 2 2 1 bop FH 450 83 a(goal) 20 b(were) g(replace) n(d) h(with) f(a) h (speci\002c) f(trajectory) -7 b(.) 450 224 y(Instead,) 25 b(these) g(observ) n(a) n(tions) g(imply) f(a) i(v) o(ery) e(dif) n(f) n (erent) h(contr) n(ol) g(scheme,) h(one) e(which) g(pursues) h(the) 450 315 y(beha) n(vio) n(ral) h(goal) f(more) g(directly) -7 b(.) 42 b(Ef) n(f) n(orts) 26 b(to) g(delineate) f(such) g(a) h(contro) n(l) g(scheme) f(ha) n(v) o(e) g(led) h(to) g(the) 450 407 y(idea) d(of) f(motor) f(syner) o(g) n(ies,) j(or) e(high-le) n(v) m (el) h(\223contro) n(l) g(knob) n(s,) -6 b(\224) 24 b(that) f(ha) n(v) o (e) f(in) m(v) n(ar) n(iant) h(and) f(predictab) n(le) 450 498 y(ef) n(fects) h(on) f(the) h(task-rele) n(v) l(ant) g(mo) o(v) m (ement) f(parame) n(ters) i(despite) e(v) n(ariability) g(in) h(indi) n (v) n(idual) g(de) o(g) n(rees) 450 589 y(of) i(freedom) f([9,) i(11) o (].) 42 b(But) 26 b(the) g(comp) n(utational) f(unde) n(rpinnin) n(gs) h (of) g(such) f(an) h(appro) n(ach\227ho) l(w) h(the) 450 681 y(syner) o(g) n(ies) 20 b(appr) n(opriate) f(for) f(a) i(gi) n(v) o (en) e(task) h(and) g(plant) g(can) g(be) g(construc) n(ted,) h(what) f (contr) n(ol) h(scheme) f(is) 450 772 y(capable) j(of) g(utilizing) h (them,) f(and) h(why) f(the) h(moto) n(r) g(system) g(should) f(prefer) g(such) g(a) h(control) f(scheme) 450 863 y(in) f(the) g(\002rst) g (place\227remain) f(uncle) n(ar) -5 b(.) 28 b(This) 21 b(gener) n(al) h(for) n(m) f(of) g(hierarc) n(hical) g(contro) n(l) h (implies) f(corr) n(e-) 450 955 y(lations) i(amon) n(g) g(the) g (control) f(signals) h(sent) g(to) h(multip) n(le) g(actuator) n(s) g (\(i.e.,) f(syner) o(g) n(etic) g(couplin) n(g\)) g(and) 450 1046 y(a) 28 b(corr) n(espondin) n(g) g(redu) n(ction) f(in) h(contr) n (ol) g(space) f(dimesionality) -7 b(.) 47 b(Such) 27 b(pheno) n(nema) g(ha) n(v) o(e) g(indee) n(d) 450 1137 y(been) 19 b(obser) n(v) o(ed) g([4) o(,) h(18) o(],) f(b) n(ut) g(the) g(relationship) f(to) i(the) f(hyp) n(othetical) g(fun) n(ctional) g (syner) o(g) n(ies) h(remains) 450 1229 y(to) g(be) g(established.) 450 1370 y(In) 27 b(this) i(pap) n(er) f(we) g(aim) g(to) g(resolv) o(e) e (the) i(appar) n(ent) g(con\003ict) f(at) h(the) g(heart) f(of) h(the) f (motor) g(coor) n(dina-) 450 1461 y(tion) f(pro) n(blem,) h(and) e (clarify) g(the) h(relationship) f(between) g(v) n(aria) n(bility) -5 b(,) 27 b(task) f(goals,) h(and) e(motor) g(syn-) 450 1553 y(er) o(gie) n(s.) 48 b(W) -7 b(e) 28 b(treat) g(motor) e(coord) n (ination) h(within) g(the) h(fram) n(e) n(w) o(ork) f(of) g(stochastic) g(optimal) g(contro) n(l,) 450 1644 y(and) f(postulate) g(that) g(the) h (moto) n(r) g(system) g(appr) n(oximates) f(the) p FE 27 w(best) p FH 28 w(possible) g(contro) n(l) h(scheme) f(for) g(a) 450 1735 y(gi) n(v) o(en) c(task.) 33 b(Such) 23 b(a) g(control) f(scheme) h (will) g(generally) f(tak) o(e) h(the) g(form) f(of) h(a) g(feedb) n (ack) g(contro) n(l) h(la) o(w) -5 b(.) 450 1826 y(Whene) n(v) o(e) n (r) 20 b(the) h(task) f(allo) n(ws) g(redun) n(dant) g(solutions,) f (the) h(initial) h(state) g(of) e(the) h(plant) g(is) h(uncertain) n(,) g(the) 450 1918 y(consequ) n(ences) h(of) f(the) h(contr) n(ol) g (signals) g(are) g(unc) n(ertain,) g(and) f(the) h(mo) o(v) m(ement) f (dura) n(tion) h(e) o(xceed) n(s) h(the) 450 2009 y(shortest) h (sensory-) n(motor) f(delay) -5 b(,) 24 b(optimal) g(perf) n(ormanc) n (e) h(is) g(achie) n(v) o(e) n(d) g(by) e(a) i(feedb) n(ack) f(control) f(la) o(w) 450 2100 y(that) i(resolv) o(es) g(redun) n(danc) o(y) f (momen) n(t-by-) n(moment\227u) n(sing) h(all) h(a) n(v) n(ailable) f (infor) n(mation) g(to) g(choose) 450 2192 y(the) h(most) g(adv) n (antag) n(eous) g(course) f(of) h(action) g(unde) n(r) h(the) f (present) g(circu) n(mstances.) 43 b(By) 27 b(postpo) n(ning) 450 2283 y(all) f(decisions) g(re) o(ga) n(rding) f(mo) o(v) m(ement) g (details) i(until) e(the) h(last) h(possible) f(mom) n(ent,) h(this) g (contr) n(ol) f(la) o(w) 450 2374 y(tak) o(es) 33 b(adv) n(an) n(tage) g (of) f(the) g(oppo) n(rtunities) h(for) f(mor) n(e) h(successful) g (task) g(comp) n(letion) f(that) h(are) f(con-) 450 2466 y(stantly) 21 b(being) f(created) g(by) g(unpr) n(edictable) g (\003uctuations) g(a) o(w) o(ay) h(fro) n(m) g(the) g(a) n(v) o(erage) f (trajector) n(y) -5 b(.) 27 b(Such) 450 2557 y(e) o(xplo) n(itation) h (of) f(redu) n(ndanc) o(y) f(not) h(only) g(results) h(in) g(high) n (er) g(perf) n(ormanc) n(e,) i(b) n(ut) e(also) f(gi) n(v) o(es) g (rise) h(to) 450 2648 y(task-con) n(strained) 20 b(v) n(ariab) n(ility) h(and) e(motor) h(syner) m(gies\227the) g(phen) n(omena) f(we) i(seek) f (to) h(e) o(xp) n(lain.) 450 2790 y(The) 30 b(presen) n(t) h(paper) e (is) i(related) e(to) h(a) g(recent) g(pub) n(lication) g(tar) o(g) n (eted) g(at) h(a) f(neuro) n(science) g(audien) n(ce) 450 2881 y([14) o(].) c(Here) 21 b(we) g(pro) o(v) n(ide) g(a) g(num) n (ber) g(of) f(technical) g(results) h(missing) g(fro) n(m) g([14) o(],) g(and) f(emph) n(asize) i(the) 450 2972 y(aspects) 28 b(of) f(our) g(w) o(ork) g(that) h(are) g(most) f(lik) o(ely) h(to) g (be) f(of) h(interest) g(to) f(the) h(compu) n(tational) f(modelin) n (g) 450 3064 y(commu) n(nity) -5 b(.) p FF 450 3348 a(2) 99 b(The) 26 b(Minimal) f(Inter) o(v) o(ention) h(principle) p FH 450 3572 a(Our) 20 b(gener) n(al) h(e) o(xplan) n(ation) f(of) g (the) g(abo) o(v) m(e) h(phe) n(nomen) n(a) g(follo) n(ws) f(from) f (an) h(intuiti) n(v) o(e) f(prope) n(rty) h(of) g(op-) 450 3663 y(timal) j(feedbac) n(k) h(contr) n(ollers) f(which) g(we) h(call) f(the) g(\223minimal) g(interv) m(ention\224) f(princip) n(le:) p FE 32 w(de) o(viatio) n(ns) 450 3754 y(fr) l(om) f(the) f(aver) o(a) o (g) o(e) f(tr) o(ajectory) h(ar) m(e) h(corr) m(ected) e(only) h(when) g (the) n(y) g(interfer) m(e) g(with) h(task) g(performan) n(ce) p FH(.) 450 3896 y(If) j(this) g(princip) n(le) g(holds,) g(and) f(the) h (noise) g(pertu) n(rbs) g(the) g(system) g(in) g(all) g(direction) n (s,) i(the) d(interplay) g(of) 450 3987 y(the) j(noise) f(and) h(con) n (trol) g(proce) n(sses) i(will) e(result) g(in) g(v) n(ariab) n(ility) g (which) g(is) g(lar) o(ger) f(in) h(task-irr) n(ele) n(v) n(ant) 450 4078 y(direction) n(s.) 45 b(At) 27 b(the) f(same) h(time,) h(the) e(f) o(act) h(that) g(certain) f(de) n(v) n(iations) h(are) f(not) g(being) g (corr) n(ected) h(im-) 450 4170 y(plies) 20 b(that) f(the) g(correspo) n (nding) f(contro) n(l) i(subspace) e(is) j(not) e(bein) n(g) h (used\227wh) n(ich) g(is) g(the) f(pheno) n(meno) n(n) 450 4261 y(typically) g(interprete) n(d) i(as) g(e) n(vide) n(nce) f(for) g (motor) f(syner) o(g) n(ies) i([4) o(,) g(18) o(].) 450 4402 y(Why) e(should) f(the) i(minimu) n(m) g(interv) m(ention) f(prin) n(ciple) h(hold) n(?) 26 b(An) 19 b(optimal) g(feedb) n(ack) h(con) n (troller) f(has) 450 4493 y(nothin) n(g) j(to) f(gain) g(from) g(corr) n (ecting) g(task-irrele) n(v) l(ant) h(de) n(v) n(iations,) g(because) f (its) h(only) f(concer) n(n) h(is) g(task) 450 4585 y(perfo) n(rmance) h (and) g(by) h(de\002nition) f(such) h(de) n(v) n(iations) g(do) g(not) f (interfere) g(with) h(perfo) n(rmance.) 36 b(On) 24 b(the) 450 4676 y(other) 19 b(hand,) g(gener) n(ating) h(a) h(corr) n(ecti) n(v) o (e) f(contro) n(l) h(signal) f(can) g(be) g(detrim) n(ental,) g (because:) 25 b(1\)) 20 b(the) g(noise) 450 4767 y(in) h(the) f(motor) g (system) g(is) i(kno) l(wn) f(to) g(be) f(multiplicati) n(v) m(e) h ([13) o(]) g(and) f(theref) n(ore) g(could) g(increase;) g(2\)) h(the) 450 4859 y(cost) h(being) f(minimize) n(d) h(most) g(lik) o(ely) g (includ) n(es) h(a) f(contr) n(ol-dep) n(endent) f(ef) n(for) n(t) i (pena) n(lty) f(which) g(cou) n(ld) 450 4950 y(also) f(incre) n(ase.) p 90 rotate dyy eop %%Page: 3 3 3 2 bop FH 450 83 a(W) -7 b(e) 24 b(no) n(w) f(form) n(alize) h(the) f (notion) n(s) h(of) f(\223redun) n(danc) o(y) n(\224) h(and) f (\223corr) n(ection,) -6 b(\224) 23 b(and) g(sho) n(w) g(that) g(for) g (a) h(sur) n(-) 450 174 y(prisingly) 19 b(gener) n(al) i(class) g(of) f (systems) h(the) o(y) e(are) h(indeed) f(related\227as) h(our) g (intuition) f(suggests.) p FI 450 381 a(2.1) 82 b(Local) 20 b(analysis) g(of) g(a) g(general) g(class) h(of) f(optimal) f(contr) o (ol) g(pr) o(oblems) p FH 450 552 a(Redund) n(anc) o(y) g(is) h(not) g (easy) f(to) h(de\002ne.) k(Consider) 19 b(the) g(task) h(of) f (reaching) n(,) h(which) f(require) n(s) i(the) e(\002nger) n(-) 450 644 y(tip) h(to) g(be) g(at) h(a) f(speci\002ed) g(tar) o(g) n(et) h (at) f(some) g(point) f(in) i(time) p FD 20 w(T) p FH 12 w(.) j(At) d(time) p FD 20 w(T) p FH 12 w(,) e(all) i(arm) f(con) n (\002guration) n(s) h(for) 450 735 y(which) j(the) h(\002ngertip) f(is) i(at) g(the) f(tar) o(g) n(et) h(are) f(redu) n(ndant.) 39 b(But) 25 b(at) h(times) f(dif) n(fer) n(ent) g(from) p FD 24 w(T) p FH 37 w(this) g(geo-) 450 826 y(metric) e(appr) n(oach) g (is) h(insuf) n(\002cient) f(to) g(de\002ne) g(redu) n(ndanc) o(y) -7 b(.) 34 b(Theref) n(ore) 23 b(we) h(follo) n(w) f(a) g(more) g(gene) n (ral) 450 918 y(appro) n(ach.) 450 1059 y(Consider) j(a) h(system) g (with) g(state) p FC 28 w(x) p FB 14 w(\() p FD(t) p FB(\)) p FA 36 w(2) p Fz 35 w(R) p Fy 1792 1029 a(m) p FH 1861 1059 a(,) i(contro) n(l) p FC 28 w(u) p FB 14 w(\() p FD(t) p FB(\)) p FA 35 w(2) p Fz 36 w(R) p Fy 2515 1029 a(n) p FH 2566 1059 a(,) g(instantaneo) n(us) e(scalar) g (cost) p FD 450 1150 a(`) p FB 14 w(\() p FD(t;) p FC 14 w(x) p FB 14 w(\() p FD(t) p FB(\)) p FD 14 w(;) p FC 14 w(u) p FB 14 w(\() p FD(t) p FB(\)) q(\)) p FA 23 w(\025) p FB 23 w(0) p FH(,) 20 b(and) f(dynam) n(ics) p FD 1352 1292 a(d) p FC(x) p FB 24 w(=) p FC 22 w(f) p FB 23 w(\() p FD 1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p FD 28 w(dt) p FB 18 w(+) p FD 18 w(G) p FB 14 w(\() p FD 1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p FD 28 w(d) p Fx(") p FH 450 1433 a(where) p Fx 33 w(") p FB 14 w(\() p FD(t) p FB(\)) p FA 48 w(2) p Fz 49 w(R) p Fy 1045 1403 a(k) p FH 1126 1433 a(is) 34 b(multidimen) n(sional) g(standar) n(d) g(Bro) n(wnian) f(motio) n(n.) h (Control) f(signals) h(are) 450 1524 y(gener) n(ated) g(by) e(a) i (feedba) n(ck) g(contr) n(ol) g(la) o(w) -5 b(,) 36 b(which) d(can) g (be) g(an) o(y) g(mapp) n(ing) g(of) g(the) g(form) p FC 33 w(u) p FB 14 w(\() p FD(t) p FB(\)) 47 b(=) p Fx 450 1616 a(\031) p FB 17 w(\() p FD(t;) p FC 14 w(x) p FB 14 w(\() p FD(t) p FB(\)) q(\)) p FH(.) 25 b(The) 19 b(analysis) g(belo) n(w) g(hea) n(vily) g(relies) g(on) g(prope) n (rties) h(of) f(the) h(optim) n(al) g(cost-to-g) n(o) g(fun) n(c-) 450 1707 y(tion,) g(de\002ned) f(as) p FD 1051 1909 a(v) p Fw 1094 1875 a(\003) p FB 1146 1909 a(\() p FD(t;) p FC 14 w(x) p FB(\)) 24 b(=) 33 b(min) p Fv 1438 1967 a(\031) p Fu 3 w(\() p Fw(\001) p Fy(;) p Fw(\001) p Fu(\)) p FD 1611 1909 a(E) p Ft 1672 1924 a(x) p Fu(\() p Fw(\001) p Fu(\)) p Fs 1801 1796 a(Z) p Fy 1884 1817 a(T) 1884 1985 y(t) p FD 1951 1909 a(`) p FB 14 w(\() p FD -1 w(s;) p FC 14 w(x) p FB 14 w(\() p FD 1 w(s) p FB(\)) p FD 14 w(;) p Fx 14 w(\031) p FB 16 w(\() p FD(s;) p FC 14 w(x) p FB 14 w(\() p FD 1 w(s) p FB(\)\)\)) p FD 28 w(ds) p FH 450 2110 a(where) 20 b(the) g(minimu) n(m) g(is) i(achie) n(v) m(ed) e(by) g(the) g(optimal) g(con) n(trol) h(la) o(w) p Fx 20 w(\031) p Fw 2484 2080 a(\003) p FB 2536 2110 a(\() p FD(t;) p FC 14 w(x) p FB 14 w(\() p FD(t) p FB(\)) q(\)) p FH(.) 450 2252 y(Suppo) n(se) 32 b(that) f(in) h(a) f(gi) n(v) o(en) f (task) i(the) f(system) g(of) g(interest) g(\(dri) n(v) o(e) n(n) g(by) g(the) g(optimal) g(contr) n(ol) h(la) o(w\)) 450 2343 y(gener) n(ates) c(an) e(a) n(v) o(erage) g(trajectory) p 1524 2296 51 4 v FC 25 w(x) p FB 15 w(\() p FD(t) p FB(\)) p FH(.) 45 b(On) 27 b(a) g(gi) n(v) o(en) f(trial,) i(let) p FB 27 w(\001) p FC(x) p FH 28 w(be) f(the) g(de) n(v) n(iation) g(form) f(the) 450 2434 y(a) n(v) o(erag) n(e) i(trajectory) f(at) h(time) p FD 27 w(t) p FH(.) 48 b(Let) p FB 28 w(\001) p FD(v) p Fw 1693 2404 a(\003) p FH 1760 2434 a(be) 27 b(the) h(chan) n(ge) g(in) g(the) f(optimal) g(cost-to-g) n(o) p FD 28 w(v) p Fw 3171 2404 a(\003) p FH 3237 2434 a(due) g(to) 450 2525 y(the) e(de) n(viatio) n(n) p FB 25 w(\001) p FC(x) p FH(;) j(i.e.,) p FB 26 w(\001) p FD(v) p Fw 1340 2495 a(\003) p FB 1392 2525 a(\() q(\001) p FC(x) p FB(\)) k(=) p FD 31 w(v) p Fw 1747 2495 a(\003) p FB 1799 2525 a(\() p 1832 2479 V FC 1 w(x) p FB 18 w(+) 19 b(\001) p FC(x) p FB(\)) p FA 22 w(\000) p FD 22 w(v) p Fw 2287 2495 a(\003) p FB 2339 2525 a(\() p 2371 2479 V FC(x) p FB 1 w(\)) p FH(.) 39 b(No) n(w) 25 b(we) g(are) f(ready) g(to) h(de\002ne) 450 2617 y(redun) n(danc) o(y) n(:) 40 b(the) 27 b(de) n(viation) p FB 26 w(\001) p FC(x) p FH 28 w(is) h(redun) n(dant) f(if) n(f) p FB 27 w(\001) p FD(v) p Fw 2169 2587 a(\003) p FB 2222 2617 a(\(\001) p FC(x) p FB(\)) 37 b(=) f(0) p FH(.) 46 b(Note) 27 b(that) g(our) g(de\002nitio) n(n) 450 2708 y(reduc) n(es) i(to) f(the) f(intuiti) n(v) o(e) g(geometr) n(ic) i (de\002nitio) n(n) f(at) g(the) g(end) f(of) h(the) f(mo) o(v) o(e) n (ment,) i(where) f(the) f(cost) 450 2799 y(functio) n(n) p FD 20 w(`) p FH 21 w(and) 19 b(optimal) h(cost-to-g) n(o) p FD 20 w(v) p Fw 1618 2769 a(\003) p FH 1677 2799 a(are) h(identica) n (l.) 450 2941 y(T) -7 b(o) 20 b(de\002ne) g(the) g(notion) f(of) h (\223corre) n(ction,) -6 b(\224) 20 b(we) h(need) e(to) h(separate) g (the) g(passi) n(v) o(e) g(and) g(acti) n(v) o(e) g(dyn) n(amics:) p FC 1396 3082 a(f) p FB 23 w(\() p FD(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) k(=) p FC 23 w(a) p FB 14 w(\() p FD(t;) p FC 14 w(x) p FB(\)) 19 b(+) p FD 18 w(B) p FB 18 w(\() p FD(t;) p FC 14 w(x) p FB(\)) p FC 15 w(u) p FH 450 3224 a(The) k(\(in\002nitesimal\)) g(e) o(xp) n(ected) h(chan) n(ge) g(in) p FC 23 w(x) p FH 25 w(due) f(to) g(the) h(contro) n (l) p FC 24 w(u) p FB 29 w(=) p Fx 29 w(\031) p Fw 2691 3193 a(\003) p FB 2743 3224 a(\() p FD(t;) p 2842 3177 V FC 14 w(x) p FB 19 w(+) 18 b(\001) p FC(x) p FB(\)) p FH 25 w(can) 23 b(no) n(w) 450 3315 y(be) k(identi\002ed:) p FC 50 w(_) -39 b(x) p Ft 982 3327 a(u) p FB 1065 3315 a(=) p FD 35 w(B) p FB 18 w(\() p FD 1 w(t;) p 1346 3268 V FC 14 w(x) p FB 18 w(+) 18 b(\001) p FC(x) p FB(\)) p Fx 15 w(\031) p Fw 1723 3285 a(\003) p FB 1775 3315 a(\() p FD(t;) p 1874 3268 V FC 14 w(x) p FB 19 w(+) g(\001) p FC(x) p FB(\)) p FH 1 w(.) 46 b(The) 27 b(corr) n(ecti) n(v) o(e) g (action) g(of) g(the) g(contr) n(ol) 450 3406 y(signal) 20 b(is) h(naturally) e(de\002ned) g(as) p FB 21 w(corr) 12 b(\() q(\001) p FC(x) p FB(\)) 24 b(=) p FA 22 w(h) q(\000) p FC 12 w(_) -39 b(x) p Ft 2016 3418 a(u) p FD 2061 3406 a(;) p FB 14 w(\001) p FC(x) p FA(i) p FH 1 w(.) 450 3547 y(In) 32 b(ord) n(er) g(to) g(relate) g(the) g(quan) n(tities) p FB 33 w(\001) p FD(v) p Fw 1674 3517 a(\003) p FB 1727 3547 a(\(\001) p FC(x) p FB(\)) p FH 33 w(and) p FB 32 w(corr) 12 b(\(\001) p FC(x) p FB(\)) p FH 1 w(,) 35 b(we) e(ob) o(v) n(iously) e(need) h(to) g(kno) l(w) 450 3639 y(somethin) n(g) 23 b(abou) n(t) g(the) f(optimal) g(contr) n(ol) h (la) o(w) p Fx 22 w(\031) p Fw 1886 3609 a(\003) p FH 1924 3639 a(.) 32 b(F) o(or) 22 b(pro) n(blems) h(in) f(the) g(abo) o (v) m(e) h(gener) n(al) g(form) n(,) h(the) 450 3730 y(optimal) 19 b(control) g(la) o(w) p Fx 21 w(\031) p Fw 1180 3700 a(\003) p FB 1232 3730 a(\() p FD(t;) p FC 14 w(x) p FB 14 w(\() p FD(t) p FB(\)\)) p FH 22 w(is) i(gi) n(v) o (e) n(n) g([7) o(]) f(by) g(the) g(minimu) n(m) p FB 479 3919 a(arg) 13 b(min) p Ft 658 3969 a(u) p FD 785 3919 a(`) p FB 14 w(\() p FD -1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) 19 b(+) p FC 18 w(f) p FB 23 w(\() p FD 1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p Fr 1530 3877 a(T) p FD 1590 3919 a(v) p Fw 1633 3885 a(\003) p Ft 1630 3939 a(x) p FB 1688 3919 a(\() p FD(t;) p FC 14 w(x) p FB(\)) g(+) 1981 3863 y(1) p 1981 3900 42 4 v 1981 3976 a(2) 2033 3919 y(trace) p Fs 2227 3827 a(\020) p FD 2276 3919 a(G) p FB 14 w(\() p FD 1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p Fr 2627 3877 a(T) p FD 2687 3919 a(v) p Fw 2730 3885 a(\003) p Ft 2727 3939 a(xx) p FB 2825 3919 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FD 15 w(G) p FB 14 w(\() p FD(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p Fs 3372 3827 a(\021) p FH 450 4098 a(where) p FD 21 w(v) p Fw 718 4068 a(\003) p Ft 715 4118 a(x) p FB 773 4098 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FH 22 w(and) p FD 21 w(v) p Fw 1161 4068 a(\003) p Ft 1158 4118 a(xx) p FB 1256 4098 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FH 22 w(are) j(the) f(grad) n (ient) h(and) f(Hessian) g(of) g(the) h(optim) n(al) g(cost-to-g) n(o) g (fun) n(c-) 450 4189 y(tion) p FD 19 w(v) p Fw 642 4159 a(\003) p FB 694 4189 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FH 1 w(.) j(T) -7 b(o) 20 b(be) f(able) g(to) g(minimize) g(this) g(e) o (xpre) n(ssion) h(e) o(xplicitly) -7 b(,) 20 b(we) f(will) h(restrict) f (the) h(class) g(of) 450 4280 y(prob) n(lems) h(to) p FD 1088 4422 a(G) p FB 14 w(\() p FD 1 w(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) 83 b(=) g([) p FD 1735 4420 a(C) p Fu 1794 4432 a(1) p FB 1845 4420 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FC 15 w(u) p FA 83 w(\001) 14 b(\001) g(\001) p FD 96 w(C) p Fy 2429 4432 a(k) p FB 2484 4420 a(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) p FC 14 w(u) p FB 2775 4422 a(]) p FD 1119 4590 a(`) p FB 14 w(\() p FD(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) 83 b(=) p FD 83 w(q) p FB 17 w(\() p FD(t;) p FC 14 w(x) p FB(\)) 19 b(+) 2017 4534 y(1) p 2017 4571 V 2017 4647 a(2) p FC 2069 4590 a(u) p Fr 2122 4555 a(T) p FD 2168 4590 a(R) p FB 14 w(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) p FC 14 w(u) p FH 450 4767 a(The) 30 b(matrix) f(notatio) n(n) h(means) g(that) g(the) p FD 30 w(i) p Fu 1718 4779 a(th) p FH 1815 4767 a(colum) n(n) g(of) p FD 30 w(G) p FH 31 w(is) p FD 30 w(C) p Fy 2434 4779 a(i) p FB 2476 4767 a(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) p FC 14 w(u) p FH(.) 55 b(Note) 29 b(that) h(the) g(latter) 450 4859 y(form) n(ulation) 19 b(is) g(still) h(v) o(ery) e(genera) n(l,) i (and) e(can) h(represen) n(t) h(realistic) f(musculo-) n(sk) o(eletal) g (dynam) n(ics) h(and) 450 4950 y(motor) f(tasks.) p 90 rotate dyy eop %%Page: 4 4 4 3 bop FH 450 83 a(Using) 25 b(the) g(f) o(act) p Fq 925 53 a(1) p FH 983 83 a(that) p FD 25 w(GG) p Fr 1263 53 a(T) p FB 1341 83 a(=) p Fs 1437 21 a(P) p Fy 1525 41 a(k) 1525 108 y(i) p Fu(=1) p FD 1650 83 a(C) p Fy 1709 95 a(i) p FC 1737 83 a(uu) p Fr 1844 53 a(T) p FD 1890 83 a(C) p Fr 1955 53 a(T) p Fy 1949 105 a(i) p FH 2027 83 a(and) p FB 24 w(trace) 13 b(\() p FD(U) c(V) p FB 19 w(\)) 32 b(=) f(trace) 13 b(\() p FD(V) 19 b(U) p FB 9 w(\)) p FH(,) 26 b(and) f(elim-) 450 174 y(inating) k(terms) h (that) g(do) g(not) f(depend) g(on) p FC 29 w(u) p FH(,) k(the) d(e) o (xpr) n(ession) g(that) g(has) h(to) f(be) g(minim) n(ized) g(w) -5 b(.r) g(.t) p FC 30 w(u) p FH 450 266 a(becom) n(es) p FC 598 467 a(u) p Fr 651 433 a(T) p FD 697 467 a(B) p FB 18 w(\() p FD(t;) p FC 14 w(x) p FB(\)) p Fr 960 425 a(T) p FD 1020 467 a(v) p Fw 1063 433 a(\003) p Ft 1060 487 a(x) p FB 1118 467 a(\() p FD(t;) p FC 14 w(x) p FB(\)) 19 b(+) 1411 411 y(1) p 1411 448 42 4 v 1411 524 a(2) p FC 1463 467 a(u) p Fr 1516 433 a(T) p Fs 1562 350 a(\022) p FD 1623 467 a(R) p FB 15 w(\() p FD(t;) p FC 14 w(x) p FB(\)) g(+) p Fs 1984 388 a(X) p Fy 2104 400 a(k) 2104 517 y(i) p Fu(=1) p FD 2229 467 a(C) p Fy 2288 479 a(i) p FB 2330 467 a(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) p Fr 2512 425 a(T) p FD 2572 467 a(v) p Fw 2615 433 a(\003) p Ft 2612 487 a(xx) p FB 2710 467 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FD 15 w(C) p Fy 2965 479 a(i) p FB 3006 467 a(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) p Fs 3188 350 a(\023) 1562 581 y(|) p 1599 581 769 10 v 769 w({z) p 2442 581 V 769 w(}) p Fy 2313 663 a(Z) p Fu 4 w(\() p Fy(t;) p Ft(x) p Fu(\)) p FC 3249 467 a(u) p FH 450 822 a(Theref) n(ore) h(the) g(optimal) g(contr) n (ol) h(la) o(w) f(is) p Fx 1234 1002 a(\031) p Fw 1293 968 a(\003) p FB 1345 1002 a(\() p FD 1 w(t;) p FC 14 w(x) p FB(\)) j(=) p FA 23 w(\000) p FD(Z) p FB 19 w(\() p FD(t;) p FC 14 w(x) p FB(\)) p Fw 1961 961 a(\000) p Fu(1) p FD 2064 1002 a(B) p FB 18 w(\() p FD(t;) p FC 14 w(x) p FB(\)) p Fr 2327 961 a(T) p FD 2387 1002 a(v) p Fw 2430 968 a(\003) p Ft 2427 1023 a(x) p FB 2485 1002 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FH 450 1215 a(W) -7 b(e) 28 b(no) n(w) e(return) f(to) i(the) g(relation) n(ship) g (between) f(\223red) n(undan) n(c) o(y\224) g(and) h(\223cor) n (rection.) -6 b(\224) 44 b(The) 26 b(time) h(in-) 450 1307 y(de) o(x) p FD 27 w(t) p FH 29 w(will) i(be) f(suppre) n(ssed) h (for) f(clarity) -5 b(.) 48 b(W) -7 b(e) 29 b(e) o(xpa) n(nd) f(the) g (optimal) g(cost-to-) n(go) g(to) g(second) g(ord) n(er:) p FD 450 1398 a(v) p Fw 493 1368 a(\003) p FB 545 1398 a(\() p 578 1351 51 4 v FC 1 w(x) p FB 18 w(+) 18 b(\001) p FC(x) p FB(\)) p FA 36 w(\031) p FD 34 w(v) p Fw 1058 1368 a(\003) p FB 1110 1398 a(\() p 1142 1351 V FC(x) p FB 19 w(+) g(\001) p FC(x) p FB(\)) 24 b(+) e(\001) p FC(x) p Fr 1675 1368 a(T) p FD 1722 1398 a(v) p Fw 1765 1368 a(\003) p Ft 1762 1418 a(x) p FB 1820 1398 a(\() p 1852 1351 V FC(x) p FB 1 w(\)) h(+) g(\001) p FC(x) p Fr 2165 1368 a(T) p FD 2212 1398 a(v) p Fw 2255 1368 a(\003) p Ft 2252 1418 a(xx) p FB 2349 1398 a(\() p 2381 1351 V FC(x) p FB 1 w(\)) 14 b(\001) p FC(x) p FH(,) 29 b(also) d(e) o(xpan) n(d) h(its) g(grad) n(ient) 450 1489 y(to) d(\002rst) i(ord) n(er:) p FD 34 w(v) p Fw 969 1459 a(\003) p Ft 966 1510 a(x) p FB 1024 1489 a(\() p 1056 1442 V FC(x) p FB 19 w(+) 18 b(\001) p FC(x) p FB(\)) p FA 32 w(\031) p FD 30 w(v) p Fw 1529 1459 a(\003) p Ft 1526 1510 a(x) p FB 1584 1489 a(\() p 1616 1442 V FC(x) p FB(\)) k(+) p FD 21 w(v) p Fw 1849 1459 a(\003) p Ft 1846 1510 a(xx) p FB 1944 1489 a(\() p 1976 1442 V FC(x) p FB 1 w(\)) 14 b(\001) p FC(x) p FH(,) 26 b(and) e(appr) n(oximate) g (all) h(other) e(quantities) 450 1581 y(as) h(being) f(constant) g(in) h (a) g(small) g(neighb) n(orhoo) n(d) g(of) p 1986 1534 V FC 23 w(x) p FH 1 w(.) 36 b(The) 23 b(ef) n(fect) g(of) h(the) f (control) g(signal) h(beco) n(mes) p FC 462 1689 a(_) -39 b(x) p Ft 500 1701 a(u) p FA 586 1689 a(\031) 38 b(\000) p FD(B) p FB 18 w(\() p 867 1642 V FC(x) p FB 1 w(\)) p FD 14 w(Z) p FB 19 w(\() p 1073 1642 V FC 1 w(x) p FB(\)) p Fw 1155 1647 a(\000) p Fu(1) p FD 1258 1689 a(B) p FB 18 w(\() p 1371 1642 V FC(x) p FB 1 w(\)) p Fr 1454 1647 a(T) p FB 1514 1689 a(\() p FD 1 w(v) p Fw 1590 1659 a(\003) p Ft 1587 1709 a(x) p FB 1644 1689 a(\() p 1677 1642 V FC 1 w(x) p FB(\)) 19 b(+) p FD 18 w(v) p Fw 1904 1659 a(\003) p Ft 1901 1709 a(xx) p FB 1998 1689 a(\() p 2031 1642 V FC 1 w(x) p FB(\)) 14 b(\001) p FC(x) p FB(\)) p FH 1 w(.) 52 b(Substituting) 28 b(in) h(the) g(abo) o(v) m(e) g (de\002ni-) 450 1780 y(tions) 20 b(yields) p FB 934 1943 a(\001) p FD(v) p Fw 1046 1909 a(\003) p FB 1098 1943 a(\(\001) p FC(x) p FB(\)) p FA 84 w(\031) 83 b(h) p FB(\001) p FC(x) p FD(;) q(v) p Fw 1731 1909 a(\003) p Ft 1728 1964 a(x) p FB 1786 1943 a(\() p 1818 1896 V FC(x) p FB(\)) 19 b(+) p FD 18 w(v) p Fw 2045 1909 a(\003) p Ft 2042 1964 a(xx) p FB 2140 1943 a(\() p 2172 1896 V FC(x) p FB(\)) c(\001) p FC(x) p FA(i) p FB 941 2059 a(corr) d(\(\001) p FC(x) p FB(\)) p FA 84 w(\031) 83 b(h) p FB(\001) p FC(x) p FD(;) q(v) p Fw 1731 2025 a(\003) p Ft 1728 2080 a(x) p FB 1786 2059 a(\() p 1818 2013 V FC(x) p FB(\)) 19 b(+) p FD 18 w(v) p Fw 2045 2025 a(\003) p Ft 2042 2080 a(xx) p FB 2140 2059 a(\() p 2172 2013 V FC(x) p FB(\)) c(\001) p FC(x) p FA(i) p Fy 2420 2084 a(B) p Fu 3 w(\() p 2499 2050 40 3 v Ft(x) p Fu(\)) p Fy(Z) p Fu 4 w(\() p 2640 2050 V Ft(x) p Fu(\)) p Fp 2706 2061 a(\000) p Fo(1) p Fy 2783 2084 a(B) p Fu 3 w(\() p 2862 2050 V Ft(x) p Fu(\)) p Fn 2928 2061 a(T) p FH 450 2249 a(where) 20 b(the) g(weighted) f(dot-p) n(rodu) n(ct) 42 b(notatio) n(n) p FA 21 w(h) p FC(x) p FD(;) p FC 14 w(y) p FA 1 w(i) p Fy 2046 2274 a(M) p FH 2141 2249 a(stands) 20 b(for) p FC 20 w(x) p Fr 2537 2219 a(T) p FD 2583 2249 a(M) p FC 9 w(y) p FH 1 w(.) 450 2390 y(Thus) 33 b(both) p FB 32 w(\001) p FD(v) p Fw 943 2360 a(\003) p FB 995 2390 a(\(\001) p FC(x) p FB(\)) p FH 35 w(and) p FB 32 w(corr) 13 b(\(\001) p FC(x) p FB(\)) p FH 34 w(are) 33 b(dot-p) n(roduc) n(ts) h(of) f(the) g(same) g(tw) o(o) g(v) o(ectors.) 63 b(When) p FD 450 2482 a(v) p Fw 493 2452 a(\003) p Ft 490 2502 a(x) p FB 548 2482 a(\() p 580 2435 51 4 v FC(x) p FB 1 w(\)) 26 b(+) p FD 26 w(v) p Fw 823 2452 a(\003) p Ft 820 2502 a(xx) p FB 918 2482 a(\() p 950 2435 V FC(x) p FB(\)) 14 b(\001) p FC(x) p FB 44 w(=) 42 b(0) p FH 31 w(\227which) 30 b(can) h(happ) n(en) g(for) f (in\002nitely) h(man) o(y) p FB 29 w(\001) p FC(x) p FH 32 w(when) f(the) h(Hes-) 450 2573 y(sian) p FD 30 w(v) p Fw 657 2543 a(\003) p Ft 654 2594 a(xx) p FB 752 2573 a(\() p 784 2526 V FC(x) p FB(\)) p FH 31 w(is) f(singular) n (\227the) f(de) n(viatio) n(n) h(is) h(redu) n(ndant) e(and) g(the) h (optimal) f(contro) n(ller) h(tak) o(es) g(no) 450 2664 y(correc) n(ti) n(v) o(e) 19 b(action.) 24 b(Furtherm) n(ore,) p FB 19 w(\001) p FD(v) p Fw 1615 2634 a(\003) p FB 1667 2664 a(\(\001) p FC(x) p FB(\)) p FH 21 w(and) p FB 18 w(corr) 12 b(\() q(\001) p FC(x) p FB(\)) p FH 20 w(are) 19 b(positi) n(v) o(ely) f(corr) n(elated) h(because) p FD 450 2776 a(B) p FB 18 w(\() p 563 2729 V FC(x) p FB 1 w(\)) p FD 14 w(Z) p FB 19 w(\() p 769 2729 V FC 1 w(x) p FB(\)) p Fw 851 2734 a(\000) p Fu(1) p FD 954 2776 a(B) p FB 18 w(\() p 1067 2729 V FC(x) p FB 1 w(\)) p Fr 1150 2734 a(T) p FH 1221 2776 a(is) 25 b(a) g(positi) n(v) o(e) f (semi-de) n(\002nite) h(matrix) p Fq 2324 2745 a(2) p FH 2356 2776 a(.) 38 b(Thu) n(s) 25 b(the) g(optim) n(al) g(contro) n 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%A8FFFFA8FFA8FFA87DFFA8A8FFA8FF7D7DA8A8FD64FF7D7DA87D7DFF7D7D %FF7DFF7D7DA87D7DA87DFF7DA8FFA8FFA87DA8FFA8FD63FFA8FFFF7D7DFF %7DA8FFA87DFFA8FF7DA87D7DFFA8A8FF7DFFA8A87DFFA8FD73FFA8A8FD04 %FFA8A8FFFFFFA8FDFCFFFD0EFFFF %%EndData %%EndComments %%BeginProlog %%BeginResource: procset Adobe_level2_AI5 1.2 0 %%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation) %%Version: 1.2 0 %%CreationDate: (04/10/93) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) userdict /Adobe_level2_AI5 26 dict dup begin put /packedarray where not { userdict begin /packedarray { array astore readonly } bind def /setpacking /pop load def /currentpacking false def end 0 } if pop userdict /defaultpacking currentpacking put true setpacking /initialize { Adobe_level2_AI5 begin } bind def /terminate { currentdict Adobe_level2_AI5 eq { end } if } bind def mark /setcustomcolor where not { /findcmykcustomcolor { (AI8_CMYK_CustomColor) 6 packedarray } bind def /findrgbcustomcolor { (AI8_RGB_CustomColor) 5 packedarray } bind def /setcustomcolor { exch aload pop dup (AI8_CMYK_CustomColor) eq { pop pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } { dup (AI8_RGB_CustomColor) eq { pop pop 3 { 1 exch sub 3 index mul 1 exch sub 3 1 roll } repeat 4 -1 roll pop setrgbcolor } { pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } ifelse } ifelse } def } if /setAIseparationgray { false setoverprint 0 setgray /setseparationgray where{ pop setseparationgray }{ /setcolorspace where{ pop [/Separation (All) /DeviceCMYK {dup dup dup}] setcolorspace 1 exch sub setcolor }{ setgray }ifelse }ifelse } def /gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put userdict /level2? systemdict /languagelevel known dup { pop systemdict /languagelevel get 2 ge } if put /level2ScreenFreq { begin 60 HalftoneType 1 eq { pop Frequency } if HalftoneType 2 eq { pop GrayFrequency } if HalftoneType 5 eq { pop Default level2ScreenFreq } if end } bind def userdict /currentScreenFreq level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put level2? not { /setcmykcolor where not { /setcmykcolor { exch .11 mul add exch .59 mul add exch .3 mul add 1 exch sub setgray } def } if /currentcmykcolor where not { /currentcmykcolor { 0 0 0 1 currentgray sub } def } if /setoverprint where not { /setoverprint /pop load def } if /selectfont where not { /selectfont { exch findfont exch dup type /arraytype eq { makefont } { scalefont } ifelse setfont } bind def } if /cshow where not { /cshow { [ 0 0 5 -1 roll aload pop ] cvx bind forall } bind def } if } if cleartomark /anyColor? { add add add 0 ne } bind def /testColor { gsave setcmykcolor currentcmykcolor grestore } bind def /testCMYKColorThrough { testColor anyColor? } bind def userdict /composite? 1 0 0 0 testCMYKColorThrough 0 1 0 0 testCMYKColorThrough 0 0 1 0 testCMYKColorThrough 0 0 0 1 testCMYKColorThrough and and and put composite? not { userdict begin gsave /cyan? 1 0 0 0 testCMYKColorThrough def /magenta? 0 1 0 0 testCMYKColorThrough def /yellow? 0 0 1 0 testCMYKColorThrough def /black? 0 0 0 1 testCMYKColorThrough def grestore /isCMYKSep? cyan? magenta? yellow? black? or or or def /customColor? isCMYKSep? not def end } if end defaultpacking setpacking %%EndResource %%BeginResource: procset Adobe_typography_AI5 1.0 1 %%Title: (Typography Operators) %%Version: 1.0 1 %%CreationDate:(6/10/1996) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_typography_AI5 68 dict dup begin put /initialize { begin begin Adobe_typography_AI5 begin Adobe_typography_AI5 { dup xcheck { bind } if pop pop } forall end end end Adobe_typography_AI5 begin } def /terminate { currentdict Adobe_typography_AI5 eq { end } if } def /modifyEncoding { /_tempEncode exch ddef /_pntr 0 ddef { counttomark -1 roll dup type dup /marktype eq { pop pop exit } { /nametype eq { _tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll put } { /_pntr exch ddef } ifelse } ifelse } loop _tempEncode } def /havefont { systemdict /languagelevel known { /Font resourcestatus dup { exch pop exch pop } if } { systemdict /FontDirectory get 1 index known { pop true } { systemdict /fileposition known { dup length 6 add exch Ss 6 250 getinterval cvs pop Ss exch 0 exch getinterval status { pop pop pop pop true } { false } ifelse } { pop false } ifelse } ifelse } ifelse } def /TE { StandardEncoding 256 array copy modifyEncoding /_nativeEncoding exch def } def /subststring { exch 2 index exch search { exch pop exch dup () eq { pop exch concatstring } { 3 -1 roll exch concatstring concatstring } ifelse exch pop true } { pop pop false } ifelse } def /concatstring { 1 index length 1 index length 1 index add string dup 0 5 index putinterval dup 2 index 4 index putinterval 4 1 roll pop pop pop } def % /TZ { dup type /arraytype eq { /_wv exch def } { /_wv 0 def } ifelse /_useNativeEncoding exch def 2 index havefont { 3 index 255 string cvs dup (_Symbol_) eq { pop 2 index findfont } { 1 index 0 eq { dup length 1 sub 1 exch getinterval cvn findfont } { pop 2 index findfont } ifelse } ifelse } { dup 1 eq { 2 index 64 string cvs dup (-90pv-RKSJ-) (-83pv-RKSJ-) subststring { exch pop dup havefont { findfont false } { pop true } ifelse } { pop dup (-90ms-RKSJ-) (-Ext-RKSJ-) subststring { exch pop dup havefont { findfont false } { pop true } ifelse } { pop pop true } ifelse } ifelse { 1 index 1 eq { /Ryumin-Light-Ext-RKSJ-V havefont {/Ryumin-Light-Ext-RKSJ-V} {/Courier} ifelse } { /Ryumin-Light-83pv-RKSJ-H havefont {/Ryumin-Light-83pv-RKSJ-H} {/Courier} ifelse } ifelse findfont [1 0 0.5 1 0 0] makefont } if } { /Courier findfont } ifelse } ifelse _wv type /arraytype eq { _wv makeblendedfont } if dup length 10 add dict begin mark exch { 1 index /FID ne { def } if cleartomark mark } forall pop /FontScript exch def /FontDirection exch def /FontRequest exch def /FontName exch def counttomark 0 eq { 1 _useNativeEncoding eq { /Encoding _nativeEncoding def } if cleartomark } { /Encoding load 256 array copy modifyEncoding /Encoding exch def } ifelse FontName currentdict end definefont pop } def /tr { _ax _ay 3 2 roll } def /trj { _cx _cy _sp _ax _ay 6 5 roll } def /a0 { /Tx { dup currentpoint 3 2 roll tr _psf newpath moveto tr _ctm _pss } ddef /Tj { dup currentpoint 3 2 roll trj _pjsf newpath moveto trj _ctm _pjss } ddef } def /a1 { W B } def /e0 { /Tx { tr _psf } ddef /Tj { trj _pjsf } ddef } def /e1 { W F } def /i0 { /Tx { tr sp } ddef /Tj { trj jsp } ddef } def /i1 { W N } def /o0 { /Tx { tr sw rmoveto } ddef /Tj { trj swj rmoveto } ddef } def /r0 { /Tx { tr _ctm _pss } ddef /Tj { trj _ctm _pjss } ddef } def /r1 { W S } def /To { pop _ctm currentmatrix pop } def /TO { iTe _ctm setmatrix newpath } def /Tp { pop _tm astore pop _ctm setmatrix _tDict begin /W { } def /h { } def } def /TP { end iTm 0 0 moveto } def /Tr { _render 3 le { currentpoint newpath moveto } if dup 8 eq { pop 0 } { dup 9 eq { pop 1 } if } ifelse dup /_render exch ddef _renderStart exch get load exec } def /iTm { _ctm setmatrix _tm concat _shift aload pop _lineorientation 1 eq { exch } if translate _scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale } def /Tm { _tm astore pop iTm 0 0 moveto } def /Td { _mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto } def /iTe { _render -1 eq { } { _renderEnd _render get dup null ne { load exec } { pop } ifelse } ifelse /_render -1 ddef } def /Ta { pop } def /Tf { 1 index type /nametype eq { dup 0.75 mul 1 index 0.25 mul neg } if /_fontDescent exch ddef /_fontAscent exch ddef /_fontSize exch ddef /_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef /_fontHeight _fontSize ddef findfont _fontSize scalefont setfont } def /Tl { pop neg 0 exch _leading astore pop } def /Tt { pop } def /TW { 3 npop } def /Tw { /_cx exch ddef } def /TC { 3 npop } def /Tc { /_ax exch ddef } def /Ts { 0 exch _shift astore pop currentpoint iTm moveto } def /Ti { 3 npop } def /Tz { count 1 eq { 100 } if 100 div exch 100 div exch _scale astore pop iTm } def /TA { pop } def /Tq { pop } def /Tg { pop } def /TG { pop } def /Tv { /_lineorientation exch ddef } def /TV { /_charorientation exch ddef } def /Ty { dup /_yokoorientation exch ddef 1 sub neg Tv } def /TY { pop } def /T~ { Tx } def /Th { pop pop pop pop pop } def /TX { pop } def /Tk { _fontSize mul 1000 div _lineorientation 0 eq { neg 0 } { 0 exch } ifelse rmoveto pop } def /TK { 2 npop } def /T* { _leading aload pop _lineorientation 0 ne { exch } if Td } def /T*- { _leading aload pop _lineorientation 0 ne { exch } if exch neg exch neg Td } def /T- { _ax neg 0 rmoveto _lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse } def /T+ { } def /TR { _ctm currentmatrix pop _tm astore pop iTm 0 0 moveto } def /TS { currentfont 3 1 roll /_Symbol_ findfont _fontSize scalefont setfont 0 eq { Tx } { Tj } ifelse setfont } def /Xb { pop pop } def /Tb /Xb load def /Xe { pop pop pop pop } def /Te /Xe load def /XB { } def /TB /XB load def currentdict readonly pop end setpacking % /X^ { currentfont 5 1 roll dup havefont { findfont _fontSize scalefont setfont } { pop exch } ifelse 2 index 0 eq { Tx } { Tj } ifelse pop pop setfont } def /T^ /X^ load def %%EndResource %%BeginProcSet: Adobe_ColorImage_AI6 1.2 0 userdict /Adobe_ColorImage_AI6 known not { userdict /Adobe_ColorImage_AI6 50 dict put } if userdict /Adobe_ColorImage_AI6 get begin /initialize { Adobe_ColorImage_AI6 begin Adobe_ColorImage_AI6 { dup type /arraytype eq { dup xcheck { bind } if } if pop pop } forall } def /terminate { end } def currentdict /Adobe_ColorImage_AI6_Vars known not { /Adobe_ColorImage_AI6_Vars 40 dict def } if Adobe_ColorImage_AI6_Vars begin /plateindex -1 def /_newproc null def /_proc1 null def /_proc2 null def /channelcount 0 def /sourcecount 0 def /sourcearray 4 array def /_ptispace null def /_ptiname null def /_pti0 0 def /_pti1 0 def /_ptiproc null def /_ptiscale 0 def /_pticomps 0 def /_ptibuf 0 string def /_gtigray 0 def /_cticmyk null def /_rtirgb null def /XIEnable true def /XIType 0 def /XIEncoding 0 def /XICompression 0 def /XIChannelCount 0 def /XIBitsPerPixel 0 def /XIImageHeight 0 def /XIImageWidth 0 def /XIImageMatrix null def /XIRowBytes 0 def /XIFile null def /XIBuffer1 null def /XIBuffer2 null def /XIDataProc null def /XIVersion 6 def /XIColorSpace /DeviceGray def /XIColorValues 0 def end currentdict /_colorimage known not { /colorimage where { /colorimage get /_colorimage exch def }{ /_colorimage null def } ifelse } if /_image systemdict /image get def /_currenttransfer systemdict /currenttransfer get def /FourEqual { 4 index ne { pop pop pop false }{ 4 index ne { pop pop false }{ 4 index ne { pop false }{ 4 index eq } ifelse } ifelse } ifelse } def /TestPlateIndex { Adobe_ColorImage_AI6_Vars begin /plateindex -1 def /setcmykcolor where { pop gsave 1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub grestore 1 0 0 0 FourEqual { /plateindex 0 def }{ 0 1 0 0 FourEqual { /plateindex 1 def }{ 0 0 1 0 FourEqual { /plateindex 2 def }{ 0 0 0 1 FourEqual { /plateindex 3 def }{ 0 0 0 0 FourEqual { /plateindex 5 def } if } ifelse } ifelse } ifelse } ifelse pop pop pop pop } if plateindex end } def /concatprocs { /packedarray where { pop dup type /packedarraytype eq 2 index type /packedarraytype eq or }{ false } ifelse { /_proc2 exch cvlit def /_proc1 exch cvlit def _proc1 aload pop _proc2 aload pop _proc1 length _proc2 length add packedarray cvx }{ /_proc2 exch cvlit def /_proc1 exch cvlit def /_newproc _proc1 length _proc2 length add array def _newproc 0 _proc1 putinterval _newproc _proc1 length _proc2 putinterval _newproc cvx } ifelse } def /clrspaceissepn { type /arraytype eq } def /clrspacegetname { dup clrspaceissepn {dup length 2 sub get}{pop ()} ifelse } def /clrspacegetalt { aload pop pop pop colormake } def /clrspacegetcomps { dup /DeviceGray eq { pop 1 }{ dup /DeviceRGB eq { pop 3 }{ /DeviceCMYK eq { 4 }{ 1 } ifelse } ifelse } ifelse } def /clrspacemarksplate { dup /DeviceGray eq { pop plateindex 3 eq }{ dup /DeviceRGB eq { pop plateindex 5 ne }{ dup /DeviceCMYK eq { pop plateindex 5 ne }{ /findcmykcustomcolor where { pop dup length 2 sub get 0.1 0.1 0.1 0.1 5 -1 roll findcmykcustomcolor 1 setcustomcolor systemdict /currentgray get exec 1 ne }{ pop plateindex 5 ne } ifelse } ifelse } ifelse } ifelse } def /colormake { dup clrspacegetcomps exch 1 index 2 add 1 roll dup 1 eq {pop}{array astore} ifelse exch } def /colorexpand { dup clrspacegetname exch dup clrspaceissepn { clrspacegetalt exch 4 1 roll }{ 1 3 1 roll } ifelse } def /colortint { dup /DeviceGray eq { 3 1 roll 1 exch sub mul 1 exch sub exch }{ dup /DeviceRGB eq { 3 1 roll {1 exch sub 1 index mul 1 exch sub exch} forall pop 3 array astore exch }{ dup /DeviceCMYK eq { 3 1 roll {1 index mul exch} forall pop 4 array astore exch }{ 3 1 roll mul exch } ifelse } ifelse } ifelse } def /colortocmyk { dup /DeviceGray eq { pop 1 exch sub 0 0 0 4 -1 roll 4 array astore }{ dup /DeviceRGB eq { pop aload pop _rgbtocmyk 4 array astore }{ dup /DeviceCMYK eq { pop }{ clrspacegetalt colortint colortocmyk } ifelse } ifelse } ifelse } def /makeimagedict { 7 dict begin /ImageType 1 def /Decode exch def /DataSource exch def /ImageMatrix exch def /BitsPerComponent exch def /Height exch def /Width exch def currentdict end } def /stringinvert { 0 1 2 index length 1 sub { dup 2 index exch get 255 exch sub 2 index 3 1 roll put } for } def /stringknockout { 0 1 2 index length 1 sub { 255 2 index 3 1 roll put } for } def /stringapply { 0 1 4 index length 1 sub { dup 4 index exch get 3 index 3 1 roll 3 index exec } for pop exch pop } def /WalkRGBString { 0 3 index dup length 1 sub 0 3 3 -1 roll { 3 getinterval {} forall 5 index exec 3 index } for 5 {pop} repeat } def /WalkCMYKString { 0 3 index dup length 1 sub 0 4 3 -1 roll { 4 getinterval {} forall 6 index exec 3 index } for 5 { pop } repeat } def /StuffRGBIntoGrayString { .11 mul exch .59 mul add exch .3 mul add cvi 3 copy put pop 1 add } def /StuffCMYKIntoGrayString { exch .11 mul add exch .59 mul add exch .3 mul add dup 255 gt { pop 255 } if 255 exch sub cvi 3 copy put pop 1 add } def /RGBToGrayImageProc { Adobe_ColorImage_AI6_Vars begin sourcearray 0 get exec dup length 3 idiv string dup 3 1 roll /StuffRGBIntoGrayString load exch WalkRGBString end } def /CMYKToGrayImageProc { Adobe_ColorImage_AI6_Vars begin sourcearray 0 get exec dup length 4 idiv string dup 3 1 roll /StuffCMYKIntoGrayString load exch WalkCMYKString end } def /SeparateCMYKImageProc { Adobe_ColorImage_AI6_Vars begin sourcecount 0 ne { sourcearray plateindex get exec }{ sourcearray 0 get exec dup length 4 idiv string 0 2 index plateindex 4 2 index length 1 sub { get 255 exch sub 3 copy put pop 1 add 2 index } for pop pop exch pop } ifelse end } def /ColorImageCompositeEmulator { pop true eq { Adobe_ColorImage_AI6_Vars /sourcecount get 5 add { pop } repeat }{ Adobe_ColorImage_AI6_Vars /channelcount get 1 ne { Adobe_ColorImage_AI6_Vars begin sourcearray 0 3 -1 roll put channelcount 3 eq {/RGBToGrayImageProc}{/CMYKToGrayImageProc} ifelse load end } if image } ifelse } def /colorimage { Adobe_ColorImage_AI6_Vars begin /channelcount 1 index def /sourcecount 2 index 1 eq { channelcount 1 sub } { 0 } ifelse def 4 sourcecount add index end dup 8 eq exch 1 eq or not { /_colorimage load null ne { _colorimage }{ Adobe_ColorImage_AI6_Vars /sourcecount get 7 add { pop } repeat } ifelse }{ dup 3 eq TestPlateIndex dup -1 eq exch 5 eq or or { /_colorimage load null eq { ColorImageCompositeEmulator }{ dup 1 eq { pop pop image }{ Adobe_ColorImage_AI6_Vars /plateindex get 5 eq { gsave 0 _currenttransfer exec 1 _currenttransfer exec eq { 0 _currenttransfer exec 0.5 lt } { 0 _currenttransfer exec 1 _currenttransfer exec gt } ifelse { { pop 0 } } { { pop 1 } } ifelse systemdict /settransfer get exec } if _colorimage Adobe_ColorImage_AI6_Vars /plateindex get 5 eq { grestore } if } ifelse } ifelse }{ dup 1 eq { pop pop image }{ pop pop Adobe_ColorImage_AI6_Vars begin sourcecount -1 0 { exch sourcearray 3 1 roll put } for /SeparateCMYKImageProc load end systemdict /image get exec } ifelse } ifelse } ifelse } def /proctintimage { /_ptispace exch store /_ptiname exch store /_pti1 exch store /_pti0 exch store /_ptiproc exch store /_pticomps _ptispace clrspacegetcomps store /_ptiscale _pti1 _pti0 sub store level2? { _ptiname length 0 gt version cvr 2012 ge and { [/Separation _ptiname _ptispace {_ptiproc}] setcolorspace [_pti0 _pti1] makeimagedict _image }{ [/Indexed _ptispace 255 {255 div _ptiscale mul _pti0 add _ptiproc}] setcolorspace [0 255] makeimagedict _image } ifelse }{ _pticomps 1 eq { { dup { 255 div _ptiscale mul _pti0 add _ptiproc 255 mul cvi put } stringapply } concatprocs _image }{ { dup length _pticomps mul dup _ptibuf length ne {/_ptibuf exch string store}{pop} ifelse _ptibuf { exch _pticomps mul exch 255 div _ptiscale mul _pti0 add _ptiproc _pticomps 2 add -2 roll _pticomps 1 sub -1 0 { 1 index add 2 index exch 5 -1 roll 255 mul cvi put } for pop pop } stringapply } concatprocs false _pticomps /_colorimage load null eq {7 {pop} repeat}{_colorimage} ifelse } ifelse } ifelse } def /graytintimage { /_gtigray 5 -1 roll store {1 _gtigray sub mul 1 exch sub} 4 1 roll /DeviceGray proctintimage } def /cmyktintimage { /_cticmyk 5 -1 roll store {_cticmyk {1 index mul exch} forall pop} 4 1 roll /DeviceCMYK proctintimage } def /rgbtintimage { /_rtirgb 5 -1 roll store {_rtirgb {1 exch sub 1 index mul 1 exch sub exch} forall pop} 4 1 roll /DeviceRGB proctintimage } def /tintimage { TestPlateIndex -1 eq { colorexpand 3 -1 roll 5 -1 roll {0}{0 exch} ifelse 4 2 roll dup /DeviceGray eq { pop graytintimage }{ dup /DeviceRGB eq { pop rgbtintimage }{ pop cmyktintimage } ifelse } ifelse }{ dup clrspacemarksplate { plateindex 5 lt { colortocmyk plateindex get 1 exch sub exch {1 0}{0 1} ifelse () graytintimage }{ pop exch {0}{0 exch} ifelse 0 3 1 roll () graytintimage } ifelse }{ pop pop pop {pop 1} 0 1 () /DeviceGray proctintimage } ifelse } ifelse } def /XINullImage { } def /XIImageMask { XIImageWidth XIImageHeight false [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load imagemask } def /XIImageTint { 0 setgray XIImageWidth XIImageHeight XIBitsPerPixel [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load XIType 3 eq XIColorValues XIColorSpace tintimage } def /XIImage { 0 setgray XIImageWidth XIImageHeight XIBitsPerPixel [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load XIChannelCount 1 eq {image}{false XIChannelCount colorimage} ifelse } def /XG { pop pop } def /XF { 13 {pop} repeat } def /Xh { Adobe_ColorImage_AI6_Vars begin gsave /XIType exch def /XIImageHeight exch def /XIImageWidth exch def /XIImageMatrix exch def 0 0 moveto XIImageMatrix concat XIImageWidth XIImageHeight scale XIType 1 eq { /_lp /null ddef _fc /_lp /imagemask ddef } if /XIVersion 7 def end } def /XH { Adobe_ColorImage_AI6_Vars begin /XIVersion 6 def grestore end } def /XIEnable { Adobe_ColorImage_AI6_Vars /XIEnable 3 -1 roll put } def /XC { Adobe_ColorImage_AI6_Vars begin colormake /XIColorSpace exch def /XIColorValues exch def end } def /XI { Adobe_ColorImage_AI6_Vars begin gsave /XIType exch def cvi dup 256 idiv /XICompression exch store 256 mod /XIEncoding exch store pop pop /XIChannelCount exch def /XIBitsPerPixel exch def /XIImageHeight exch def /XIImageWidth exch def pop pop pop pop /XIImageMatrix exch def XIBitsPerPixel 1 eq { XIImageWidth 8 div ceiling cvi }{ XIImageWidth XIChannelCount mul } ifelse /XIRowBytes exch def XIEncoding 0 ne XIVersion 6 le and { currentfile 128 string readline pop pop } if XICompression 0 eq { /XIBuffer1 XIRowBytes string def XIEncoding 0 eq { {currentfile XIBuffer1 readhexstring pop} }{ {currentfile XIBuffer1 readstring pop} } ifelse }{ /XIBuffer1 256 string def /XIBuffer2 XIRowBytes string def {currentfile XIBuffer1 readline pop (%) anchorsearch {pop} if} /ASCIIHexDecode filter /DCTDecode filter /XIFile exch def {XIFile XIBuffer2 readstring pop} } ifelse /XIDataProc exch def XIVersion 6 le { 0 0 moveto XIImageMatrix concat XIImageWidth XIImageHeight scale XIType 1 eq { /_lp /null ddef _fc /_lp /imagemask ddef } if } if XIEnable { XIType 1 eq { XIImageMask }{ XIType 2 eq XIType 3 eq or { XIImageTint }{ XIImage } ifelse } ifelse }{ XINullImage } ifelse grestore end } def end %%EndProcSet %%BeginResource: procset Adobe_Illustrator_AI5 1.2 0 %%Title: (Adobe Illustrator (R) Version 7.0 Full Prolog) %%Version: 1.2 0 %%CreationDate: (3/7/1994) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_Illustrator_AI5_vars 107 dict dup begin put /_eo false def /_lp /none def /_pf { } def /_ps { } def /_psf { } def /_pss { } def /_pjsf { } def /_pjss { } def /_pola 0 def /_doClip 0 def /cf currentflat def /_lineorientation 0 def /_charorientation 0 def /_yokoorientation 0 def /_tm matrix def /_renderStart [ /e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0 ] def /_renderEnd [ null null null null /i1 /i1 /i1 /i1 ] def /_render -1 def /_shift [0 0] def /_ax 0 def /_ay 0 def /_cx 0 def /_cy 0 def /_leading [ 0 0 ] def /_ctm matrix def /_mtx matrix def /_sp 16#020 def /_hyphen (-) def /_fontSize 0 def /_fontAscent 0 def /_fontDescent 0 def /_fontHeight 0 def /_fontRotateAdjust 0 def /Ss 256 string def Ss 0 (fonts/) putinterval /_cnt 0 def /_scale [1 1] def /_nativeEncoding 0 def /_useNativeEncoding 0 def /_tempEncode 0 def /_pntr 0 def /_tDict 2 dict def /_hfname 100 string def /_hffound false def /Tx { } def /Tj { } def /CRender { } def /_AI3_savepage { } def /_gf null def /_cf 4 array def /_rgbf 3 array def /_if null def /_of false def /_fc { } def /_gs null def /_cs 4 array def /_rgbs 3 array def /_is null def /_os false def /_sc { } def /_pd 1 dict def /_ed 15 dict def /_pm matrix def /_fm null def /_fd null def /_fdd null def /_sm null def /_sd null def /_sdd null def /_i null def /_lobyte 0 def /_hibyte 0 def /_cproc null def /_cscript 0 def /_hvax 0 def /_hvay 0 def /_hvwb 0 def /_hvcx 0 def /_hvcy 0 def /_bitfont null def /_bitlobyte 0 def /_bithibyte 0 def /_bitkey null def /_bitdata null def /_bitindex 0 def /discardSave null def /buffer 256 string def /beginString null def /endString null def /endStringLength null def /layerCnt 1 def /layerCount 1 def /perCent (%) 0 get def /perCentSeen? false def /newBuff null def /newBuffButFirst null def /newBuffLast null def /clipForward? false def end userdict /Adobe_Illustrator_AI5 known not { userdict /Adobe_Illustrator_AI5 95 dict put } if userdict /Adobe_Illustrator_AI5 get begin /initialize { Adobe_Illustrator_AI5 dup begin Adobe_Illustrator_AI5_vars begin discardDict { bind pop pop } forall dup /nc get begin { dup xcheck 1 index type /operatortype ne and { bind } if pop pop } forall end newpath } def /terminate { end end } def /_ null def /ddef { Adobe_Illustrator_AI5_vars 3 1 roll put } def /xput { dup load dup length exch maxlength eq { dup dup load dup length 2 mul dict copy def } if load begin def end } def /npop { { pop } repeat } def /hswj { dup stringwidth 3 2 roll { _hvwb eq { exch _hvcx add exch _hvcy add } if exch _hvax add exch _hvay add } cforall } def /vswj { 0 0 3 -1 roll { dup 255 le _charorientation 1 eq and { dup cstring stringwidth 5 2 roll _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub 4 -1 roll sub exch 3 -1 roll sub exch } { _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub _fontHeight sub } ifelse } cforall } def /swj { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hswj } { vswj } ifelse } def /sw { 0 0 0 6 3 roll swj } def /vjss { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 5 index setmatrix stroke grestore _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 6 index setmatrix stroke grestore moveto pop pop } ifelse } cforall 6 npop } def /hjss { 4 1 roll { dup cstring gsave false charpath currentpoint 5 index setmatrix stroke grestore moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jss { _lineorientation 0 eq { hjss } { vjss } ifelse } def /ss { 0 0 0 7 3 roll jss } def /vjsp { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto false charpath currentpoint _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto 2 index false charpath moveto pop pop } ifelse } cforall 6 npop } def /hjsp { 4 1 roll { dup cstring false charpath _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jsp { matrix currentmatrix _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /sp { matrix currentmatrix 0 0 0 7 3 roll _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /pl { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } def /setstrokeadjust where { pop true setstrokeadjust /c { curveto } def /C /c load def /v { currentpoint 6 2 roll curveto } def /V /v load def /y { 2 copy curveto } def /Y /y load def /l { lineto } def /L /l load def /m { moveto } def } { /c { pl curveto } def /C /c load def /v { currentpoint 6 2 roll pl curveto } def /V /v load def /y { pl 2 copy curveto } def /Y /y load def /l { pl lineto } def /L /l load def /m { pl moveto } def } ifelse /d { setdash } def /cf { } def /i { dup 0 eq { pop cf } if setflat } def /j { setlinejoin } def /J { setlinecap } def /M { setmiterlimit } def /w { setlinewidth } def /XR { 0 ne /_eo exch ddef } def /H { } def /h { closepath } def /N { _pola 0 eq { _doClip 1 eq { _eo {eoclip} {clip} ifelse /_doClip 0 ddef } if newpath } { /CRender { N } ddef } ifelse } def /n { N } def /F { _pola 0 eq { _doClip 1 eq { gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc /_doClip 0 ddef } { _pf } ifelse } { /CRender { F } ddef } ifelse } def /f { closepath F } def /S { _pola 0 eq { _doClip 1 eq { gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc /_doClip 0 ddef } { _ps } ifelse } { /CRender { S } ddef } ifelse } def /s { closepath S } def /B { _pola 0 eq { _doClip 1 eq gsave F grestore { gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc /_doClip 0 ddef } { S } ifelse } { /CRender { B } ddef } ifelse } def /b { closepath B } def /W { /_doClip 1 ddef } def /* { count 0 ne { dup type /stringtype eq { pop } if } if newpath } def /u { } def /U { } def /q { _pola 0 eq { gsave } if } def /Q { _pola 0 eq { grestore } if } def /*u { _pola 1 add /_pola exch ddef } def /*U { _pola 1 sub /_pola exch ddef _pola 0 eq { CRender } if } def /D { pop } def /*w { } def /*W { } def /` { /_i save ddef clipForward? { nulldevice } if 6 1 roll 4 npop concat pop userdict begin /showpage { } def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash /setstrokeadjust where {pop false setstrokeadjust} if newpath 0 setgray false setoverprint } def /~ { end _i restore } def /O { 0 ne /_of exch ddef /_lp /none ddef } def /R { 0 ne /_os exch ddef /_lp /none ddef } def /g { /_gf exch ddef /_fc { _lp /fill ne { _of setoverprint _gf setgray /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /G { /_gs exch ddef /_sc { _lp /stroke ne { _os setoverprint _gs setgray /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /k { _cf astore pop /_fc { _lp /fill ne { _of setoverprint _cf aload pop setcmykcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /K { _cs astore pop /_sc { _lp /stroke ne { _os setoverprint _cs aload pop setcmykcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /Xa { _rgbf astore pop /_fc { _lp /fill ne { _of setoverprint _rgbf aload pop setrgbcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /XA { _rgbs astore pop /_sc { _lp /stroke ne { _os setoverprint _rgbs aload pop setrgbcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /_rgbtocmyk { 3 { 1 exch sub 3 1 roll } repeat 3 copy 1 4 1 roll 3 { 3 index 2 copy gt { exch } if pop 4 1 roll } repeat pop pop pop 4 1 roll 3 { 3 index sub 3 1 roll } repeat 4 -1 roll } def /Xx { exch /_gf exch ddef 0 eq { findcmykcustomcolor } { /findrgbcustomcolor where not { 4 1 roll _rgbtocmyk 5 -1 roll findcmykcustomcolor } { pop findrgbcustomcolor } ifelse } ifelse /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /XX { exch /_gs exch ddef 0 eq { findcmykcustomcolor } { /findrgbcustomcolor where not { 4 1 roll _rgbtocmyk 5 -1 roll findcmykcustomcolor } { pop findrgbcustomcolor } ifelse } ifelse /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /x { /_gf exch ddef findcmykcustomcolor /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /X { /_gs exch ddef findcmykcustomcolor /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /A { pop } def /annotatepage { userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse } def /XT { pop pop } def /discard { save /discardSave exch store discardDict begin /endString exch store gt38? { 2 add } if load stopped pop end discardSave restore } bind def userdict /discardDict 7 dict dup begin put /pre38Initialize { /endStringLength endString length store /newBuff buffer 0 endStringLength getinterval store /newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store /newBuffLast newBuff endStringLength 1 sub 1 getinterval store } def /shiftBuffer { newBuff 0 newBuffButFirst putinterval newBuffLast 0 currentfile read not { stop } if put } def 0 { pre38Initialize mark currentfile newBuff readstring exch pop { { newBuff endString eq { cleartomark stop } if shiftBuffer } loop } { stop } ifelse } def 1 { pre38Initialize /beginString exch store mark currentfile newBuff readstring exch pop { { newBuff beginString eq { /layerCount dup load 1 add store } { newBuff endString eq { /layerCount dup load 1 sub store layerCount 0 eq { cleartomark stop } if } if } ifelse shiftBuffer } loop } if } def 2 { mark { currentfile buffer readline not { stop } if endString eq { cleartomark stop } if } loop } def 3 { /beginString exch store /layerCnt 1 store mark { currentfile buffer readline not { stop } if dup beginString eq { pop /layerCnt dup load 1 add store } { endString eq { layerCnt 1 eq { cleartomark stop } { /layerCnt dup load 1 sub store } ifelse } if } ifelse } loop } def end userdict /clipRenderOff 15 dict dup begin put { /n /N /s /S /f /F /b /B } { { _doClip 1 eq { /_doClip 0 ddef _eo {eoclip} {clip} ifelse } if newpath } def } forall /Tr /pop load def /Bb {} def /BB /pop load def /Bg {12 npop} def /Bm {6 npop} def /Bc /Bm load def /Bh {4 npop} def end /Lb { 4 npop 6 1 roll pop 4 1 roll pop pop pop 0 eq { 0 eq { (%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard } { /clipForward? true def /Tx /pop load def /Tj /pop load def currentdict end clipRenderOff begin begin } ifelse } { 0 eq { save /discardSave exch store } if } ifelse } bind def /LB { discardSave dup null ne { restore } { pop clipForward? { currentdict end end begin /clipForward? false ddef } if } ifelse } bind def /Pb { pop pop 0 (%AI5_EndPalette) discard } bind def /Np { 0 (%AI5_End_NonPrinting--) discard } bind def /Ln /pop load def /Ap /pop load def /Ar { 72 exch div 0 dtransform dup mul exch dup mul add sqrt dup 1 lt { pop 1 } if setflat } def /Mb { q } def /Md { } def /MB { Q } def /nc 4 dict def nc begin /setgray { pop } bind def /setcmykcolor { 4 npop } bind def /setrgbcolor { 3 npop } bind def /setcustomcolor { 2 npop } bind def currentdict readonly pop end end setpacking %%EndResource %%BeginResource: procset Adobe_cshow 2.0 8 %%Title: (Writing System Operators) %%Version: 2.0 8 %%CreationDate: (1/23/89) () %%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_cshow 14 dict dup begin put /initialize { Adobe_cshow begin Adobe_cshow { dup xcheck { bind } if pop pop } forall end Adobe_cshow begin } def /terminate { currentdict Adobe_cshow eq { end } if } def /cforall { /_lobyte 0 ddef /_hibyte 0 ddef /_cproc exch ddef /_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef { /_lobyte exch ddef _hibyte 0 eq _cscript 1 eq _lobyte 129 ge _lobyte 159 le and _lobyte 224 ge _lobyte 252 le and or and _cscript 2 eq _lobyte 161 ge _lobyte 254 le and and _cscript 3 eq _lobyte 161 ge _lobyte 254 le and and _cscript 25 eq _lobyte 161 ge _lobyte 254 le and and _cscript -1 eq or or or or and { /_hibyte _lobyte ddef } { _hibyte 256 mul _lobyte add _cproc /_hibyte 0 ddef } ifelse } forall } def /cstring { dup 256 lt { (s) dup 0 4 3 roll put } { dup 256 idiv exch 256 mod (hl) dup dup 0 6 5 roll put 1 4 3 roll put } ifelse } def /clength { 0 exch { 256 lt { 1 } { 2 } ifelse add } cforall } def /hawidthshow { { dup cstring show _hvax _hvay rmoveto _hvwb eq { _hvcx _hvcy rmoveto } if } cforall } def /vawidthshow { { dup 255 le _charorientation 1 eq and { -90 rotate 0 _fontRotateAdjust rmoveto cstring _hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow 0 _fontRotateAdjust neg rmoveto 90 rotate } { currentpoint _fontHeight sub exch _hvay sub exch _hvax sub 2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if 3 2 roll cstring dup stringwidth pop 2 div neg _fontAscent neg rmoveto show moveto } ifelse } cforall } def /hvawidthshow { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse } def /hvwidthshow { 0 0 3 -1 roll hvawidthshow } def /hvashow { 0 0 0 6 -3 roll hvawidthshow } def /hvshow { 0 0 0 0 0 6 -1 roll hvawidthshow } def currentdict readonly pop end setpacking %%EndResource %%EndProlog %%BeginSetup userdict /_useSmoothShade false put Adobe_level2_AI5 /initialize get exec Adobe_cshow /initialize get exec Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_typography_AI5 /initialize get exec Adobe_ColorImage_AI6 /initialize get exec Adobe_Illustrator_AI5 /initialize get exec %AI3_BeginRider currentpacking true setpacking /ArialMT havefont not { %%BeginFont: ArialMT /ArialMT 15 dict dup begin /FontName /ArialMT def /FontType 3 def /FontMatrix [ 0.000977 0 0 0.000977 0 0 ] def /FontAscent 1024 def /FontDescent -333 def /FontScript 0 def /FontBBox [ 0 -512 1024 1024 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /l /lineto load def /m /moveto load def /c /curveto load def /BuildChar { Adobe_Illustrator_AI5_vars exch /_bitlobyte exch put Adobe_Illustrator_AI5_vars exch /_bitfont exch put Adobe_Illustrator_AI5_vars /_bithibyte 0 put _bitlobyte 16 4 string cvrs dup length (K) dup length dup 4 -1 roll add string Adobe_Illustrator_AI5_vars exch /_bitkey exch put exch _bitkey copy pop _bitkey exch 3 -1 roll putinterval _bitfont /CharMetrics get _bitkey cvn get dup type /arraytype eq { aload pop setcachedevice } { 0 setcharwidth } ifelse _bitfont /CharStrings get _bitkey cvn get exec } bind def 38 dict dup begin /KA { } bind def /KD { } bind def /K20 { } bind def /K25 { { newpath 102 408 m 132 375 169 358 213 358 c 258 358 296 375 326 408 c 357 442 372 490 372 552 c 372 616 357 664 327 697 c 296 730 258 746 212 746 c 162 746 124 728 98 691 c 71 654 58 610 58 557 c 58 491 73 441 102 408 c closepath 271 654 m 286 635 294 602 294 555 c 294 505 287 470 272 451 c 257 432 238 422 215 422 c 193 422 174 431 159 450 c 144 469 136 502 136 548 c 136 599 143 634 158 653 c 173 672 192 682 215 682 c 237 682 256 673 271 654 c closepath 290 -28 m 690 746 l 616 746 l 215 -28 l 290 -28 l closepath 576 22 m 606 -11 643 -28 687 -28 c 732 -28 770 -11 800 22 c 831 56 846 104 846 166 c 846 230 831 278 801 311 c 771 344 733 360 687 360 c 636 360 598 342 572 305 c 545 269 532 224 532 171 c 532 105 547 55 576 22 c closepath 745 268 m 760 249 768 216 768 169 c 768 119 761 84 746 65 c 731 46 712 36 689 36 c 666 36 648 46 633 65 c 618 84 610 116 610 162 c 610 213 617 248 632 267 c 647 286 666 296 689 296 c 711 296 730 287 745 268 c closepath } exec fill } bind def /K28 { { newpath 306 -216 m 206 -56 156 105 156 265 c 156 328 163 391 178 453 c 189 503 205 551 226 597 c 239 627 266 677 306 746 c 242 746 l 179 662 133 578 103 494 c 77 421 64 345 64 266 c 64 175 81 88 116 4 c 150 -80 192 -153 242 -216 c 306 -216 l closepath } exec fill } bind def /K29 { { newpath 252 4 m 287 88 304 175 304 266 c 304 345 291 421 265 494 c 235 578 189 662 126 746 c 62 746 l 103 676 130 626 143 596 c 163 550 179 502 190 452 c 205 390 212 328 212 265 c 212 105 162 -56 62 -216 c 126 -216 l 175 -153 218 -80 252 4 c closepath } exec fill } bind def /K2E { { newpath 194 0 m 194 102 l 92 102 l 92 0 l 194 0 l closepath } exec fill } bind def /K30 { { newpath 115 63 m 156 13 212 -12 283 -12 c 337 -12 382 2 417 31 c 453 59 479 100 497 153 c 515 206 524 276 524 362 c 524 434 518 492 507 535 c 496 578 481 614 462 644 c 443 674 418 696 388 712 c 358 728 323 736 283 736 c 229 736 185 722 149 694 c 114 665 87 624 69 571 c 51 518 42 448 42 362 c 42 224 66 125 115 63 c 115 63 l closepath 181 610 m 206 645 240 662 282 662 c 325 662 361 642 389 603 c 418 563 432 483 432 362 c 432 241 418 161 389 122 c 360 82 325 62 283 62 c 241 62 206 82 177 121 c 148 161 134 241 134 362 c 134 482 150 565 181 610 c 181 610 l closepath } exec fill } bind def /K31 { { newpath 382 736 m 324 736 l 308 704 282 672 244 638 c 206 604 162 576 112 552 c 112 465 l 140 475 172 491 207 512 c 242 532 270 553 292 574 c 292 0 l 382 0 l 382 736 l closepath } exec fill } bind def /K32 { { newpath 155 86 m 165 102 178 119 193 135 c 208 151 243 182 297 227 c 362 282 408 325 436 356 c 463 388 483 418 495 446 c 507 474 513 503 513 532 c 513 590 493 638 452 678 c 411 716 355 736 285 736 c 215 736 160 718 118 682 c 77 646 53 593 47 524 c 139 512 l 139 559 153 596 179 622 c 205 649 239 662 283 662 c 324 662 357 650 383 625 c 408 601 421 571 421 535 c 421 501 407 465 379 427 c 350 389 296 336 217 270 c 166 228 127 192 99 160 c 72 128 52 96 40 63 c 32 43 28 22 29 0 c 515 0 l 515 86 l 155 86 l closepath } exec fill } bind def /K34 { { newpath 420 0 m 420 176 l 520 176 l 520 258 l 420 258 l 420 734 l 348 734 l 12 258 l 12 176 l 330 176 l 330 0 l 420 0 l closepath 101 258 m 330 587 l 330 258 l 101 258 l closepath } exec fill } bind def /K35 { { newpath 114 44 m 156 7 211 -12 278 -12 c 359 -12 423 18 470 77 c 509 125 528 182 528 249 c 528 318 506 375 462 420 c 418 464 364 486 300 486 c 252 486 206 471 162 440 c 202 638 l 494 638 l 494 724 l 130 724 l 58 348 l 142 336 l 155 357 174 374 197 387 c 220 400 246 406 276 406 c 323 406 361 391 390 362 c 418 332 432 292 432 240 c 432 187 417 143 387 111 c 358 78 321 62 276 62 c 239 62 208 74 183 97 c 157 120 141 154 134 200 c 42 192 l 48 130 72 81 114 44 c closepath } exec fill } bind def /K38 { { newpath 78 332 m 54 300 42 260 42 212 c 42 148 64 95 108 52 c 153 9 211 -12 283 -12 c 355 -12 413 9 458 52 c 502 94 524 147 524 210 c 524 255 512 294 489 326 c 465 359 431 383 387 397 c 423 411 450 430 467 456 c 485 481 494 510 494 544 c 494 598 475 643 436 680 c 397 717 346 736 282 736 c 218 736 167 718 129 681 c 91 645 72 600 72 547 c 72 512 81 481 99 456 c 117 430 145 411 182 397 c 137 386 103 364 78 332 c closepath 197 629 m 220 651 248 662 283 662 c 318 662 346 651 368 628 c 391 606 402 578 402 545 c 402 513 391 487 369 465 c 348 443 319 432 284 432 c 248 432 219 443 197 465 c 175 487 164 515 164 550 c 164 581 175 607 197 629 c closepath 175 316 m 203 344 238 358 281 358 c 325 358 361 344 389 316 c 418 287 432 252 432 209 c 432 166 418 131 391 103 c 363 76 327 62 284 62 c 256 62 230 69 206 82 c 182 95 164 113 152 137 c 140 161 134 186 134 212 c 134 253 148 288 175 316 c closepath } exec fill } bind def /K39 { { newpath 120 36 m 156 4 203 -12 261 -12 c 315 -12 362 2 402 31 c 443 60 473 103 493 158 c 514 214 524 288 524 382 c 524 472 514 540 493 588 c 473 635 443 672 403 698 c 364 723 320 736 273 736 c 207 736 152 713 108 668 c 64 623 42 563 42 488 c 42 416 63 358 105 314 c 146 270 198 248 258 248 c 294 248 328 257 359 275 c 390 293 414 316 432 345 c 432 337 433 331 433 327 c 433 289 428 253 419 217 c 410 181 399 152 386 131 c 373 110 356 93 335 81 c 314 68 289 62 262 62 c 229 62 203 71 182 90 c 161 108 147 137 140 178 c 54 170 l 61 112 83 68 120 36 c closepath 384 372 m 357 343 323 328 281 328 c 239 328 204 343 176 372 c 148 401 134 439 134 486 c 134 538 149 580 178 613 c 207 646 243 662 283 662 c 323 662 356 647 383 616 c 410 586 424 545 424 493 c 424 442 411 401 384 372 c closepath } exec fill } bind def /K42 { { newpath 356 0 m 402 0 442 4 474 12 c 506 20 533 33 554 49 c 576 65 594 87 608 117 c 623 146 630 178 630 213 c 630 255 618 292 594 324 c 570 355 536 377 491 390 c 526 407 551 429 568 457 c 585 485 594 515 594 546 c 594 580 584 612 565 643 c 546 674 520 697 486 712 c 452 727 407 734 351 734 c 76 734 l 76 0 l 356 0 l closepath 174 648 m 320 648 l 372 648 409 645 431 638 c 452 631 469 618 481 599 c 492 581 498 559 498 534 c 498 508 492 487 479 470 c 467 452 448 440 424 433 c 405 427 375 424 332 424 c 174 424 l 174 648 l closepath 174 338 m 343 338 l 389 338 425 334 449 326 c 474 318 494 303 508 283 c 523 263 530 239 530 212 c 530 189 525 168 516 150 c 506 132 494 119 479 110 c 464 100 445 94 423 90 c 410 87 388 86 357 86 c 174 86 l 174 338 l closepath } exec fill } bind def /K44 { { newpath 345 0 m 389 0 428 4 462 13 c 496 21 526 33 550 49 c 574 66 596 88 617 116 c 637 144 654 180 667 223 c 680 266 686 315 686 371 c 686 436 676 495 657 546 c 638 596 609 638 571 671 c 541 696 505 714 463 724 c 433 731 390 734 333 734 c 80 734 l 80 0 l 345 0 l closepath 178 648 m 332 648 l 389 648 431 643 457 633 c 493 619 523 591 548 550 c 573 509 586 449 586 373 c 586 317 580 270 567 231 c 554 192 536 161 513 138 c 497 121 475 109 448 100 c 420 91 382 86 334 86 c 178 86 l 178 648 l closepath } exec fill } bind def /K4C { { newpath 534 0 m 534 86 l 174 86 l 174 734 l 76 734 l 76 0 l 534 0 l closepath } exec fill } bind def /K50 { { newpath 178 0 m 178 300 l 366 300 l 469 300 541 322 581 365 c 620 408 640 460 640 523 c 640 559 633 592 618 622 c 603 653 583 676 559 693 c 535 710 504 721 468 727 c 443 732 405 734 357 734 c 80 734 l 80 0 l 178 0 l closepath 178 648 m 365 648 l 409 648 439 646 456 642 c 481 635 501 620 517 598 c 532 576 540 550 540 520 c 540 477 527 444 501 421 c 474 398 430 386 367 386 c 178 386 l 178 648 l closepath } exec fill } bind def /K53 { { newpath 86 104 m 112 65 147 36 191 17 c 236 -2 292 -12 358 -12 c 410 -12 457 -2 499 17 c 540 36 572 63 595 97 c 617 132 628 168 628 207 c 628 246 618 281 597 311 c 577 341 545 366 503 386 c 473 399 419 415 341 433 c 263 450 215 468 196 485 c 177 502 168 524 168 550 c 168 580 181 606 208 628 c 235 649 277 660 335 660 c 391 660 433 648 462 624 c 490 600 507 565 512 518 c 606 526 l 604 569 592 608 570 642 c 548 676 516 702 475 720 c 433 737 385 746 331 746 c 282 746 237 738 197 721 c 157 704 126 680 105 648 c 84 615 74 581 74 544 c 74 510 83 479 100 452 c 117 425 143 402 178 384 c 205 369 252 354 319 338 c 385 322 429 310 448 302 c 478 291 500 276 514 259 c 527 242 534 222 534 199 c 534 176 527 155 513 136 c 500 117 479 102 451 91 c 422 80 390 74 353 74 c 312 74 274 81 241 96 c 208 110 184 130 168 153 c 152 177 142 207 138 244 c 46 236 l 47 187 61 143 86 104 c closepath } exec fill } bind def /K54 { { newpath 364 0 m 364 648 l 606 648 l 606 734 l 24 734 l 24 648 l 266 648 l 266 0 l 364 0 l closepath } exec fill } bind def /K56 { { newpath 390 0 m 675 734 l 576 734 l 379 201 l 364 161 350 121 339 81 c 329 118 316 158 301 201 c 110 734 l 6 734 l 289 0 l 390 0 l closepath } exec fill } bind def /K58 { { newpath 119 0 m 305 255 l 312 265 323 281 338 304 c 348 289 358 275 369 260 c 552 0 l 672 0 l 399 385 l 654 734 l 547 734 l 402 539 l 380 510 360 483 343 456 c 332 476 313 506 285 545 c 151 734 l 34 734 l 284 380 l 2 0 l 119 0 l closepath } exec fill } bind def /K61 { { newpath 436 0 m 528 0 l 517 20 509 41 506 64 c 502 86 500 139 500 223 c 500 343 l 500 383 499 411 496 426 c 490 451 481 471 467 488 c 454 504 433 517 405 528 c 376 539 339 544 294 544 c 248 544 208 538 173 525 c 139 513 112 495 94 472 c 75 448 62 418 54 380 c 144 368 l 154 406 169 433 189 448 c 209 463 240 470 282 470 c 328 470 362 460 385 439 c 402 424 410 398 410 362 c 410 358 410 350 410 338 c 375 326 321 316 248 307 c 212 303 185 298 168 293 c 144 287 122 277 103 264 c 83 251 68 233 56 212 c 44 190 38 167 38 140 c 38 96 54 59 85 31 c 117 2 162 -12 220 -12 c 256 -12 289 -6 320 6 c 351 17 383 37 416 66 c 419 41 426 19 436 0 c 436 0 l closepath 410 235 m 410 195 405 164 395 144 c 382 117 362 96 335 81 c 308 66 277 58 242 58 c 207 58 180 66 161 82 c 143 98 134 119 134 143 c 134 159 138 173 147 186 c 155 199 167 209 182 216 c 198 222 224 228 262 234 c 328 243 377 255 410 268 c 410 235 l closepath } exec fill } bind def /K63 { { newpath 369 94 m 346 73 316 62 281 62 c 237 62 202 78 175 111 c 148 143 134 195 134 267 c 134 337 148 389 176 421 c 204 454 241 470 286 470 c 316 470 341 461 362 443 c 383 425 398 398 406 362 c 494 374 l 484 428 460 470 424 500 c 387 529 340 544 283 544 c 237 544 195 533 157 512 c 118 490 89 458 70 415 c 51 372 42 321 42 264 c 42 175 64 107 108 59 c 152 12 210 -12 282 -12 c 340 -12 389 5 428 40 c 468 74 492 121 502 182 c 414 194 l 408 149 393 116 369 94 c closepath } exec fill } bind def /K65 { { newpath 379 88 m 355 71 326 62 293 62 c 248 62 210 77 180 108 c 150 139 133 184 130 242 c 528 242 l 528 253 528 261 528 266 c 528 354 505 423 460 471 c 415 520 357 544 286 544 c 213 544 153 519 107 470 c 61 420 38 351 38 262 c 38 175 61 108 106 60 c 152 12 214 -12 291 -12 c 353 -12 404 3 443 33 c 483 63 510 106 525 160 c 435 172 l 421 134 402 106 379 88 c closepath 180 428 m 209 456 244 470 287 470 c 334 470 372 453 401 418 c 420 395 432 361 436 316 c 132 316 l 135 363 151 400 180 428 c closepath } exec fill } bind def /K66 { { newpath 178 0 m 178 462 l 282 462 l 282 532 l 178 532 l 178 581 l 178 613 184 635 195 647 c 206 658 226 664 253 664 c 270 664 287 662 306 659 c 320 737 l 289 743 261 746 236 746 c 196 746 166 739 144 724 c 122 710 106 691 98 668 c 91 650 88 624 88 588 c 88 532 l 10 532 l 10 462 l 88 462 l 88 0 l 178 0 l closepath } exec fill } bind def /K67 { { newpath 107 -173 m 146 -202 197 -216 260 -216 c 313 -216 358 -206 395 -186 c 431 -166 458 -139 475 -104 c 492 -69 500 -11 500 72 c 500 532 l 418 532 l 418 466 l 377 518 325 544 263 544 c 215 544 174 532 140 509 c 105 486 78 452 60 410 c 41 367 32 320 32 269 c 32 195 52 132 92 79 c 132 26 189 0 262 0 c 321 0 371 23 410 70 c 410 11 408 -28 404 -46 c 396 -77 380 -100 358 -117 c 335 -134 303 -142 262 -142 c 223 -142 193 -133 170 -116 c 154 -104 144 -84 140 -56 c 50 -44 l 49 -102 68 -145 107 -173 c closepath 166 421 m 195 454 229 470 269 470 c 310 470 345 453 374 420 c 403 387 418 338 418 273 c 418 204 404 154 376 122 c 347 90 312 74 271 74 c 229 74 194 90 166 122 c 138 154 124 206 124 276 c 124 340 138 388 166 421 c closepath } exec fill } bind def /K68 { { newpath 158 0 m 158 291 l 158 333 163 365 173 389 c 183 413 200 431 223 445 c 247 459 272 466 298 466 c 334 466 361 456 381 435 c 400 415 410 382 410 337 c 410 0 l 500 0 l 500 337 l 500 389 494 429 481 456 c 469 484 448 505 419 521 c 390 536 356 544 317 544 c 253 544 200 520 158 471 c 158 734 l 68 734 l 68 0 l 158 0 l closepath } exec fill } bind def /K69 { { newpath 160 632 m 160 734 l 70 734 l 70 632 l 160 632 l closepath 160 0 m 160 532 l 70 532 l 70 0 l 160 0 l closepath } exec fill } bind def /K6B { { newpath 158 0 m 158 211 l 222 274 l 400 0 l 508 0 l 285 334 l 488 532 l 372 532 l 158 316 l 158 734 l 68 734 l 68 0 l 158 0 l closepath } exec fill } bind def /K6C { { newpath 156 0 m 156 734 l 66 734 l 66 0 l 156 0 l closepath } exec fill } bind def /K6D { { newpath 158 0 m 158 276 l 158 325 163 362 173 387 c 182 413 198 433 219 446 c 241 459 264 466 290 466 c 323 466 347 456 362 436 c 377 416 384 386 384 346 c 384 0 l 474 0 l 474 309 l 474 364 486 404 511 429 c 536 454 567 466 605 466 c 626 466 644 461 659 451 c 675 442 685 429 691 413 c 697 397 700 371 700 335 c 700 0 l 790 0 l 790 365 l 790 426 776 471 747 500 c 719 529 678 544 625 544 c 557 544 502 513 460 451 c 450 480 432 503 407 520 c 381 536 349 544 310 544 c 274 544 242 536 215 520 c 187 504 165 483 148 457 c 148 532 l 68 532 l 68 0 l 158 0 l closepath } exec fill } bind def /K6E { { newpath 158 0 m 158 291 l 158 359 172 405 200 429 c 227 454 260 466 298 466 c 322 466 343 461 361 450 c 378 439 391 424 398 406 c 405 388 408 360 408 324 c 408 0 l 500 0 l 500 327 l 500 369 498 398 495 415 c 490 440 480 463 467 481 c 453 500 433 515 406 527 c 379 538 350 544 318 544 c 244 544 187 515 148 457 c 148 532 l 68 532 l 68 0 l 158 0 l closepath } exec fill } bind def /K6F { { newpath 103 60 m 149 12 209 -12 283 -12 c 330 -12 372 -1 412 21 c 451 42 481 73 501 112 c 522 151 532 205 532 274 c 532 358 509 424 462 472 c 416 520 356 544 283 544 c 218 544 162 524 116 485 c 61 437 34 365 34 266 c 34 176 57 107 103 60 c closepath 171 419 m 201 453 238 470 283 470 c 328 470 365 453 395 419 c 425 385 440 335 440 269 c 440 199 425 147 395 113 c 365 79 328 62 283 62 c 238 62 201 79 171 113 c 141 147 126 198 126 266 c 126 335 141 386 171 419 c closepath } exec fill } bind def /K72 { { newpath 156 0 m 156 278 l 156 316 161 351 171 383 c 178 404 189 420 204 432 c 220 444 237 450 257 450 c 279 450 301 444 322 432 c 354 515 l 323 534 292 544 261 544 c 240 544 221 538 203 526 c 186 514 167 489 146 451 c 146 532 l 66 532 l 66 0 l 156 0 l closepath } exec fill } bind def /K73 { { newpath 103 31 m 139 2 192 -12 261 -12 c 302 -12 339 -5 372 10 c 405 24 430 45 448 71 c 465 98 474 126 474 156 c 474 187 467 213 453 233 c 438 254 418 270 393 281 c 368 292 324 306 261 323 c 218 335 192 342 183 346 c 167 352 156 360 149 370 c 142 379 138 390 138 401 c 138 420 147 436 164 449 c 182 463 211 470 252 470 c 286 470 313 462 332 447 c 351 431 362 410 366 382 c 454 394 l 448 429 438 456 423 477 c 408 497 385 514 354 526 c 322 538 286 544 245 544 c 217 544 191 540 167 533 c 143 526 124 517 110 507 c 92 494 77 477 66 457 c 55 436 50 414 50 391 c 50 365 57 341 70 319 c 83 298 103 281 128 269 c 154 257 199 242 264 226 c 313 213 343 203 355 195 c 373 183 382 167 382 147 c 382 124 372 104 352 87 c 332 70 302 62 261 62 c 220 62 188 71 166 90 c 143 109 129 137 124 172 c 34 160 l 44 103 67 60 103 31 c closepath } exec fill } bind def /K74 { { newpath 226 78 m 212 78 202 80 195 85 c 187 89 182 95 179 102 c 176 109 174 126 174 152 c 174 462 l 266 462 l 266 532 l 174 532 l 174 718 l 84 664 l 84 532 l 18 532 l 18 462 l 84 462 l 84 155 l 84 101 88 65 95 49 c 102 32 115 18 133 8 c 151 -3 177 -8 210 -8 c 230 -8 253 -5 278 0 c 266 80 l 249 79 236 78 226 78 c 226 78 l closepath } exec fill } bind def /K75 { { newpath 496 0 m 496 532 l 406 532 l 406 247 l 406 202 401 167 391 143 c 381 119 365 101 341 87 c 318 73 292 66 265 66 c 238 66 216 73 197 86 c 179 100 167 118 162 142 c 158 158 156 190 156 237 c 156 532 l 66 532 l 66 202 l 66 164 68 136 72 118 c 77 92 86 70 99 51 c 112 33 133 18 160 6 c 187 -6 216 -12 248 -12 c 319 -12 375 18 416 79 c 416 0 l 496 0 l closepath } exec fill } bind def end /CharStrings exch def 38 dict dup begin /KA [768 0 128 0 640 640] def Encoding 10 /KA put /KD [768 0 128 0 640 640] def Encoding 13 /KD put /K20 [285 0 0 0 0 0] def Encoding 32 /K20 put /K25 [911 0 59 -27 847 745] def Encoding 37 /K25 put /K28 [341 0 62 -216 304 745] def Encoding 40 /K28 put /K29 [341 0 62 -216 304 745] def Encoding 41 /K29 put /K2E [285 0 93 0 196 102] def Encoding 46 /K2E put /K30 [570 0 42 -12 520 736] def Encoding 48 /K30 put /K31 [570 0 112 0 382 736] def Encoding 49 /K31 put /K32 [570 0 30 0 515 736] def Encoding 50 /K32 put /K34 [570 0 13 0 520 733] def Encoding 52 /K34 put /K35 [570 0 42 -13 528 723] def Encoding 53 /K35 put /K38 [570 0 42 -12 525 736] def Encoding 56 /K38 put /K39 [570 0 42 -12 524 736] def Encoding 57 /K39 put /K42 [683 0 75 0 628 733] def Encoding 66 /K42 put /K44 [740 0 79 0 685 733] def Encoding 68 /K44 put /K4C [570 0 75 0 533 733] def Encoding 76 /K4C put /K50 [683 0 79 0 638 733] def Encoding 80 /K50 put /K53 [683 0 46 -13 630 745] def Encoding 83 /K53 put /K54 [626 0 24 0 605 733] def Encoding 84 /K54 put /K56 [683 0 4 0 675 733] def Encoding 86 /K56 put /K58 [683 0 4 0 676 733] def Encoding 88 /K58 put /K61 [570 0 37 -12 526 543] def Encoding 97 /K61 put /K63 [512 0 40 -12 502 543] def Encoding 99 /K63 put /K65 [570 0 38 -12 527 543] def Encoding 101 /K65 put /K66 [285 0 9 0 320 745] def Encoding 102 /K66 put /K67 [570 0 33 -216 501 543] def Encoding 103 /K67 put /K68 [570 0 68 0 500 733] def Encoding 104 /K68 put /K69 [228 0 68 0 158 733] def Encoding 105 /K69 put /K6B [512 0 68 0 508 733] def Encoding 107 /K6B put /K6C [228 0 66 0 156 733] def Encoding 108 /K6C put /K6D [853 0 68 0 787 543] def Encoding 109 /K6D put /K6E [570 0 68 0 499 543] def Encoding 110 /K6E put /K6F [570 0 34 -12 531 543] def Encoding 111 /K6F put /K72 [341 0 67 0 355 543] def Encoding 114 /K72 put /K73 [512 0 32 -12 473 543] def Encoding 115 /K73 put /K74 [285 0 18 -7 277 717] def Encoding 116 /K74 put /K75 [570 0 66 -12 496 531] def Encoding 117 /K75 put end /CharMetrics exch def end definefont pop %%EndFont } if /Arial-BoldMT havefont not { %%BeginFont: Arial-BoldMT /Arial-BoldMT 15 dict dup begin /FontName /Arial-BoldMT def /FontType 3 def /FontMatrix [ 0.000977 0 0 0.000977 0 0 ] def /FontAscent 1024 def /FontDescent -386 def /FontScript 0 def /FontBBox [ 0 -512 1024 1024 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /l /lineto load def /m /moveto load def /c /curveto load def /BuildChar { Adobe_Illustrator_AI5_vars exch /_bitlobyte exch put Adobe_Illustrator_AI5_vars exch /_bitfont exch put Adobe_Illustrator_AI5_vars /_bithibyte 0 put _bitlobyte 16 4 string cvrs dup length (K) dup length dup 4 -1 roll add string Adobe_Illustrator_AI5_vars exch /_bitkey exch put exch _bitkey copy pop _bitkey exch 3 -1 roll putinterval _bitfont /CharMetrics get _bitkey cvn get dup type /arraytype eq { aload pop setcachedevice } { 0 setcharwidth } ifelse _bitfont /CharStrings get _bitkey cvn get exec } bind def 9 dict dup begin /KA { } bind def /KD { } bind def /K20 { } bind def /K31 { { newpath 404 738 m 290 738 l 274 693 245 654 202 620 c 159 587 119 564 82 552 c 82 424 l 152 447 213 483 264 531 c 264 0 l 404 0 l 404 738 l closepath } exec fill } bind def /K53 { { newpath 125 50 m 175 7 246 -14 339 -14 c 402 -14 455 -5 498 13 c 541 31 574 58 597 95 c 620 132 632 171 632 214 c 632 260 622 299 603 331 c 583 363 557 388 522 406 c 488 424 435 442 363 459 c 292 477 246 493 228 509 c 213 521 206 536 206 554 c 206 573 214 588 229 599 c 253 617 287 626 329 626 c 370 626 401 618 422 601 c 442 585 456 558 462 520 c 610 526 l 608 593 583 647 537 688 c 491 728 422 748 330 748 c 274 748 226 739 187 722 c 147 705 117 680 96 648 c 75 615 64 580 64 542 c 64 484 86 434 131 393 c 163 364 219 340 298 320 c 359 304 398 293 416 287 c 441 278 459 268 469 256 c 479 244 484 229 484 212 c 484 185 472 162 448 142 c 424 122 388 112 340 112 c 295 112 259 123 233 145 c 206 168 189 203 180 250 c 36 236 l 46 154 75 92 125 50 c closepath } exec fill } bind def /K61 { { newpath 211 421 m 225 431 245 436 270 436 c 308 436 334 430 348 419 c 361 407 368 387 368 360 c 368 346 l 343 335 297 324 231 311 c 182 302 144 291 118 278 c 92 266 72 248 58 224 c 43 201 36 174 36 144 c 36 98 52 60 83 31 c 115 1 158 -14 213 -14 c 244 -14 273 -8 300 4 c 328 16 353 34 377 57 c 378 55 380 49 382 41 c 388 23 392 9 396 0 c 536 0 l 524 25 515 49 511 71 c 506 94 504 128 504 175 c 506 339 l 506 400 500 442 487 465 c 475 488 453 507 422 522 c 391 537 344 544 281 544 c 212 544 160 532 124 507 c 89 482 64 444 50 392 c 176 368 l 185 393 196 411 211 421 c closepath 368 226 m 368 192 366 170 362 158 c 357 139 346 124 329 111 c 305 94 281 86 255 86 c 232 86 213 93 198 108 c 183 122 176 139 176 159 c 176 179 185 195 204 208 c 216 216 242 224 281 233 c 321 241 350 248 368 254 c 368 226 l closepath } exec fill } bind def /K6C { { newpath 212 0 m 212 734 l 72 734 l 72 0 l 212 0 l closepath } exec fill } bind def /K6D { { newpath 64 0 m 204 0 l 204 258 l 204 309 208 346 215 368 c 223 390 235 407 252 419 c 270 430 289 436 311 436 c 329 436 343 432 353 425 c 364 418 372 406 377 391 c 382 376 384 343 384 291 c 384 0 l 524 0 l 524 255 l 524 305 528 342 536 365 c 543 388 556 406 573 418 c 591 430 609 436 629 436 c 656 436 676 426 689 406 c 699 391 704 357 704 304 c 704 0 l 844 0 l 844 340 l 844 391 839 428 829 450 c 816 481 796 504 769 520 c 742 536 709 544 670 544 c 639 544 610 537 583 523 c 556 509 531 488 508 459 c 492 488 471 509 446 523 c 422 537 392 544 358 544 c 295 544 240 516 194 460 c 194 532 l 64 532 l 64 0 l closepath } exec fill } bind def /K75 { { newpath 556 0 m 556 532 l 416 532 l 416 307 l 416 231 412 183 405 163 c 398 143 385 127 366 114 c 347 101 325 94 301 94 c 280 94 262 99 248 109 c 235 119 225 132 220 149 c 215 166 212 212 212 287 c 212 532 l 72 532 l 72 194 l 72 144 78 104 91 76 c 104 47 124 25 153 10 c 181 -6 213 -14 249 -14 c 284 -14 318 -6 349 12 c 381 29 407 51 426 80 c 426 0 l 556 0 l closepath } exec fill } bind def end /CharStrings exch def 9 dict dup begin /KA [768 0 128 0 640 640] def Encoding 10 /KA put /KD [768 0 128 0 640 640] def Encoding 13 /KD put /K20 [285 0 0 0 0 0] def Encoding 32 /K20 put /K31 [570 0 81 0 403 736] def Encoding 49 /K31 put /K53 [683 0 37 -13 633 745] def Encoding 83 /K53 put /K61 [570 0 37 -12 535 543] def Encoding 97 /K61 put /K6C [285 0 74 0 214 733] def Encoding 108 /K6C put /K6D [911 0 63 0 844 543] def Encoding 109 /K6D put /K75 [626 0 71 -12 554 531] def Encoding 117 /K75 put end /CharMetrics exch def end definefont pop %%EndFont } if setpacking %AI3_EndRider [ 39/quotesingle 96/grave 130/quotesinglbase/florin/quotedblbase/ellipsis /dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE 145/quoteleft /quoteright/quotedblleft/quotedblright/bullet/endash/emdash/tilde/trademark /scaron/guilsinglright/oe/dotlessi 159/Ydieresis /space 164/currency 166/brokenbar 168/dieresis/copyright/ordfeminine 172/logicalnot/hyphen/registered/macron/ring /plusminus/twosuperior/threesuperior/acute/mu 183/periodcentered/cedilla /onesuperior/ordmasculine 188/onequarter/onehalf/threequarters 192/Agrave /Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla/Egrave/Eacute /Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis/Eth/Ntilde /Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply/Oslash/Ugrave /Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls/agrave/aacute /acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute/ecircumflex /edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute /ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex /udieresis/yacute/thorn/ydieresis TE %AI55J_Tsume: None %AI3_BeginEncoding: _Arial-BoldMT Arial-BoldMT [/_Arial-BoldMT/Arial-BoldMT 0 0 0 TZ %AI3_EndEncoding TrueType %AI55J_Tsume: None %AI3_BeginEncoding: _ArialMT ArialMT [/_ArialMT/ArialMT 0 0 0 TZ %AI3_EndEncoding TrueType %AI5_Begin_NonPrinting Np %AI3_BeginPattern: (Brick) (Brick) 0 0 72 72 [ %AI3_Tile (0 O 0 R 0.3 0.85 0.85 0 k 0.3 0.85 0.85 0 K ) @ ( %AI6_BeginPatternLayer 800 Ar 0 J 0 j 1 w 4 M []0 d %AI3_Note: 0 D 0 XR 0 0 m 0 72 L 72 72 L 72 0 L 0 0 L f %AI6_EndPatternLayer ) & (0 O 0 R 1 g 1 G ) @ ( %AI6_BeginPatternLayer 800 Ar 0 J 0 j 0.3 w 4 M []0 d %AI3_Note: 0 D 0 XR 0 68.4097 m 72 68.4097 l S 0 61.209 m 72 61.209 L S 0 54.0088 m 72 54.0088 L S 0 46.8076 m 72 46.8076 L S 0 39.6084 m 72 39.6084 L S 0 32.4072 m 72 32.4072 L S 0 25.207 m 72 25.207 L S 0 18.0059 m 72 18.0059 L S 0 10.8057 m 72 10.8057 L S 0 3.6064 m 72 3.6064 L S 68.4102 68.4097 m 68.4102 61.2217 l S 54.0098 68.4097 m 54.0098 61.2217 L S 39.6094 68.4097 m 39.6094 61.2217 L S 25.21 68.4097 m 25.21 61.2217 L S 10.8105 68.4097 m 10.8105 61.2217 L S 68.4102 53.9717 m 68.4102 46.7842 l S 54.0098 53.9717 m 54.0098 46.7842 L S 39.6094 53.9717 m 39.6094 46.7842 L S 25.21 53.9717 m 25.21 46.7842 L S 10.8105 53.9717 m 10.8105 46.7842 L S 68.4102 39.5967 m 68.4102 32.4092 l S 54.0098 39.5967 m 54.0098 32.4092 L S 39.6094 39.5967 m 39.6094 32.4092 L S 25.21 39.5967 m 25.21 32.4092 L S 10.8105 39.5967 m 10.8105 32.4092 L S 68.4102 25.2217 m 68.4102 18.0342 l S 54.0098 25.2217 m 54.0098 18.0342 L S 39.6094 25.2217 m 39.6094 18.0342 L S 25.21 25.2217 m 25.21 18.0342 L S 10.8105 25.2217 m 10.8105 18.0342 L S 68.4102 10.7842 m 68.4102 3.5967 l S 54.0098 10.7842 m 54.0098 3.5967 L S 39.6094 10.7842 m 39.6094 3.5967 L S 25.21 10.7842 m 25.21 3.5967 L S 10.8105 10.7842 m 10.8105 3.5967 L S 61.1973 3.5967 m 61.1973 0 L S 46.7969 3.5967 m 46.7969 0 L S 32.3965 3.5967 m 32.3965 0 L S 17.9971 3.5967 m 17.9971 0 L S 3.5967 3.5967 m 3.5967 0 l S 61.1973 18.0342 m 61.1973 10.8467 L S 46.7969 18.0342 m 46.7969 10.8467 L S 32.3965 18.0342 m 32.3965 10.8467 L S 17.9971 18.0342 m 17.9971 10.8467 L S 3.5967 18.0342 m 3.5967 10.8467 l S 61.1973 32.4092 m 61.1973 25.2217 L S 46.7969 32.4092 m 46.7969 25.2217 L S 17.9971 32.4092 m 17.9971 25.2217 L S 3.5967 32.4092 m 3.5967 25.2217 l S 61.1973 46.7842 m 61.1973 39.5967 L S 46.7969 46.7842 m 46.7969 39.5967 L S 32.3965 46.7842 m 32.3965 39.5967 L S 17.9971 46.7842 m 17.9971 39.5967 L S 3.5967 46.7842 m 3.5967 39.5967 l S 61.1973 61.2217 m 61.1973 54.0347 L S 46.7969 61.2217 m 46.7969 54.0347 L S 32.3965 61.2217 m 32.3965 54.0347 L S 17.9971 61.2217 m 17.9971 54.0347 L S 3.5967 61.2217 m 3.5967 54.0347 l S 61.1973 71.959 m 61.1973 68.4717 L S 46.7969 71.959 m 46.7969 68.4717 L S 32.3965 71.959 m 32.3965 68.4717 L S 17.9971 71.959 m 17.9971 68.4717 L S 3.5967 71.959 m 3.5967 68.4717 l S 32.3965 32.4092 m 32.3965 25.2217 L S %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Confetti) (Confetti) 4.85 3.617 76.85 75.617 [ %AI3_Tile (0 O 0 R 1 g 1 G ) @ ( %AI6_BeginPatternLayer 800 Ar 0 J 0 j 1 w 4 M []0 d %AI3_Note: 0 D 0 XR 4.85 3.617 m 4.85 75.617 L 76.85 75.617 L 76.85 3.617 L 4.85 3.617 L f %AI6_EndPatternLayer ) & (0 O 0 R 0 g 0 G ) @ ( %AI6_BeginPatternLayer 800 Ar 0 J 0 j 0.3 w 4 M []0 d %AI3_Note: 0 D 0 XR 10.6 64.867 m 7.85 62.867 l S 9.1 8.617 m 6.85 6.867 l S 78.1 68.617 m 74.85 67.867 l S 76.85 56.867 m 74.35 55.117 l S 79.6 51.617 m 76.6 51.617 l S 76.35 44.117 m 73.6 45.867 l S 78.6 35.867 m 76.6 34.367 l S 76.1 23.867 m 73.35 26.117 l S 78.1 12.867 m 73.85 13.617 l S 68.35 14.617 m 66.1 12.867 l S 76.6 30.617 m 73.6 30.617 l S 62.85 58.117 m 60.956 60.941 l S 32.85 59.617 m 31.196 62.181 l S 47.891 64.061 m 49.744 66.742 l S 72.814 2.769 m 73.928 5.729 l S 67.976 2.633 m 67.35 5.909 l S 61.85 27.617 m 59.956 30.441 l S 53.504 56.053 m 51.85 58.617 l S 52.762 1.779 m 52.876 4.776 l S 45.391 5.311 m 47.244 7.992 l S 37.062 3.375 m 35.639 5.43 l S 55.165 34.828 m 57.518 37.491 l S 20.795 3.242 m 22.12 5.193 l S 14.097 4.747 m 15.008 8.965 l S 9.736 1.91 m 8.073 4.225 l S 31.891 5.573 m 32.005 8.571 l S 12.1 70.367 m 15.6 68.867 l S 9.35 54.867 m 9.6 58.117 l S 12.85 31.867 m 14.35 28.117 l S 10.1 37.367 m 12.35 41.117 l S 34.1 71.117 m 31.85 68.617 l S 38.35 71.117 m 41.6 68.367 l S 55.1 71.117 m 58.35 69.117 l S 57.35 65.117 m 55.35 61.867 l S 64.35 66.367 m 69.35 68.617 l S 71.85 62.867 m 69.35 61.117 l S 23.6 70.867 m 23.6 67.867 l S 20.6 65.867 m 17.35 65.367 l S 24.85 61.367 m 25.35 58.117 l S 25.85 65.867 m 29.35 66.617 l S 14.1 54.117 m 16.85 56.117 l S 12.35 11.617 m 12.6 15.617 l S 12.1 19.867 m 14.35 22.367 l S 26.1 9.867 m 23.6 13.367 l S 34.6 47.117 m 32.1 45.367 l S 62.6 41.867 m 59.85 43.367 l S 31.6 35.617 m 27.85 36.367 l S 36.35 26.117 m 34.35 24.617 l S 33.85 14.117 m 31.1 16.367 l S 37.1 9.867 m 35.1 11.117 l S 34.35 20.867 m 31.35 20.867 l S 44.6 56.617 m 42.1 54.867 l S 47.35 51.367 m 44.35 51.367 l S 44.1 43.867 m 41.35 45.617 l S 43.35 33.117 m 42.6 30.617 l S 43.85 23.617 m 41.1 25.867 l S 44.35 15.617 m 42.35 16.867 l S 67.823 31.1 m 64.823 31.1 l S 27.1 32.617 m 29.6 30.867 l S 31.85 55.117 m 34.85 55.117 l S 19.6 40.867 m 22.1 39.117 l S 16.85 35.617 m 19.85 35.617 l S 20.1 28.117 m 22.85 29.867 l S 52.1 42.617 m 54.484 44.178 l S 52.437 50.146 m 54.821 48.325 l S 59.572 54.133 m 59.35 51.117 l S 50.185 10.055 m 53.234 9.928 l S 51.187 15.896 m 53.571 14.075 l S 58.322 19.883 m 59.445 16.823 l S 53.1 32.117 m 50.6 30.367 l S 52.85 24.617 m 49.6 25.617 l S 61.85 9.117 m 59.1 10.867 l S 69.35 34.617 m 66.6 36.367 l S 67.1 23.617 m 65.1 22.117 l S 24.435 46.055 m 27.484 45.928 l S 25.437 51.896 m 27.821 50.075 l S 62.6 47.117 m 65.321 46.575 l S 19.85 19.867 m 20.35 16.617 l S 21.85 21.867 m 25.35 22.617 l S 37.6 62.867 m 41.6 62.117 l S 38.323 42.1 m 38.823 38.6 l S 69.35 52.617 m 66.85 53.867 l S 14.85 62.117 m 18.1 59.367 l S 9.6 46.117 m 7.1 44.367 l S 20.6 51.617 m 18.6 50.117 l S 46.141 70.811 m 47.994 73.492 l S 69.391 40.561 m 71.244 43.242 l S 38.641 49.311 m 39.35 52.117 l S 25.141 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40.8652 55.2109 41.0391 57.8037 C 39.3789 56.4878 37.834 55.1719 36.1738 55.2285 C 36.4434 53.8076 35.8076 52.002 35.4307 51.5088 C 34.8574 52.2529 34.4463 53.0796 34.8008 55.0576 C 33.3486 55.5425 32.1113 56.0879 30.7373 57.3467 C 30.7373 55.5146 30.166 54.314 29.2969 53.0366 C 30.5576 52.5488 31.8301 51.3467 31.8252 50.3076 C 30.9775 50.46 29.2852 51.2036 28.793 52.1958 C 28.0742 51.4497 26.3906 50.1396 24.7871 50.1357 C 25.9746 49.2817 26.8945 48.2466 26.9893 46.335 C 28.2422 47.3057 30.6953 47.9209 32.0752 47.3237 C 27.2344 43.0869 27.7031 40.0547 27.7578 38.7324 C f 13.5195 70.3916 m 12.9941 69.9209 12.7988 69.6587 V 15.2891 67.8418 13.0352 62.0146 12.5225 60.9517 C 11.8828 60.8955 10.4766 63.6367 10.5117 65.1348 C 9.3809 64.3789 7.7148 64.4995 6.1133 64.7856 C 6.6855 63.6987 6.2842 61.7529 5.4834 60.9517 C 6.4854 60.9878 7.8359 60.2729 9.1455 59.2925 C 8.3105 58.4717 6.4834 58.6338 4.5674 59.2925 C 4.5674 57.9189 3.7461 56.1816 2.9082 54.9995 C 4.2246 55.0576 5.3691 54.3706 6.2275 53.3408 C 6.8926 54.9097 8.9258 56.0215 9.832 55.9727 C 9.8496 54.6079 8.2764 52.5176 7.2539 52.1187 C 7.8545 51.4497 8.873 49.9189 9.832 47.5039 C 10.6309 49.4297 11.8008 50.6719 13.0342 51.6045 C 11.8926 53.1655 12.0664 54.0366 12.4648 55.5146 C 13.209 54.9746 14.2393 54.5415 14.4102 52.5386 C 16.127 52.8247 17.2637 52.7529 18.7598 51.8525 C 18.3057 53.5137 18.3027 55.1147 18.623 56.8149 C 16.7725 56.6748 15.2129 56.8887 14.1826 58.377 C 15.0117 58.6035 17.2725 58.6626 18.1465 57.731 C 18.4736 58.7129 19.3691 60.1187 20.8145 60.8125 C 19.375 61.0728 18.3896 62.1719 17.4805 63.8579 C 16.7676 62.4429 14.541 60.7769 13.0371 60.7227 C 15.041 64.7856 15.041 67.7046 13.5195 70.3916 C f 41.2324 64.4824 m 41.5518 65.1113 41.7549 65.3682 V 44.1523 63.4272 48.958 66.7354 49.8535 67.5034 C 49.7432 68.1362 47.6182 69.2725 45.9004 68.2422 C 46.3408 69.5313 45.4395 71.4922 44.2402 72.5342 C 45.9805 72.4341 48.126 73.7954 48.6484 74.5371 C 48.8701 73.5601 50.0527 72.29 51.3379 71.2754 C 51.6895 72.249 50.9941 74.3662 50.0781 75.9683 C 51.3125 76.4692 52.4248 77.3994 52.8828 78.6582 C 53.3398 77.3423 54.3428 76.667 55.6875 75.9111 C 54.5273 74.4844 53.7471 72.3101 54.0273 71.4473 C 55.3496 71.7822 56.9209 74.5 57.0439 75.5903 C 57.9189 74.8232 59.4727 74.1372 62.0537 73.8311 C 60.3535 72.7534 59.9902 70.7612 59.4063 69.3301 C 58.2588 69.7773 56.0898 69.8364 55.1152 69.2725 C 55.8281 68.6934 57.168 68.1431 59.1777 68.1284 C 59.1777 66.583 59.6406 65.4512 60.8945 64.2373 C 59.1719 64.249 57.0723 63.7632 55.5762 63.3721 C 55.3281 64.7002 54.4844 66.2974 53.3398 66.6973 C 53.334 65.8364 53.5996 63.5874 54.4844 62.9214 C 53.6201 62.353 52.3672 60.9751 51.9102 59.2583 C 51.2881 60.583 50.4268 61.8882 48.5645 62.333 C 49.749 63.3862 50.584 65.4033 50.25 66.8691 C 45.1973 62.8872 42.5215 64.1851 41.2324 64.4824 C f %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Stripes) (Stripes) 8.45 4.6001 80.45 76.6001 [ %AI3_Tile (0 O 0 R 1 0.07 1 0 k 1 0.07 1 0 K ) @ ( 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1 18 Tk (T) Tx 1 111 Tk (asks ) Tx 1 0 Tk (\r) TX TO 0 To 1 0 0 1 218.1011 333.3823 0 Tp 0 Tv TP 0 Tr 0 0 0 0.3 k /_Arial-BoldMT 10 10 -3.7646 Tf (Sum) Tx 1 0 Tk (\r) TX TO 0 To 1 0 0 1 132.3276 330.1235 0 Tp 0 Tv TP 0 Tr 0 0 0 1 k /_ArialMT 10 10 -3.2471 Tf (Dif) Tx 1 18 Tk (ference) Tx 1 0 Tk (\r) TX TO LB %AI5_EndLayer-- %%PageTrailer gsave annotatepage grestore showpage %%Trailer Adobe_Illustrator_AI5 /terminate get exec Adobe_ColorImage_AI6 /terminate get exec Adobe_typography_AI5 /terminate get exec Adobe_cshow /terminate get exec Adobe_level2_AI5 /terminate get exec %%EOF %%EndDocument @endspecial FH 1035 1271 a(Figure) 19 b(2:) 26 b(Simulation) n(s) 21 b(of) f(motor) f(contro) n(l) i(tasks) g(\226) f(see) h(te) o(xt.) p FF 450 1530 a(3) 99 b(A) n(pplications) 25 b(to) g(motor) g (coordination) p FH 450 1726 a(W) -7 b(e) 17 b(ha) n(v) o(e) e(used) h (the) g(mod) n(i\002ed) g(LQG) g(frame) n(w) o(o) n(rk) g(to) g(mod) n (el) h(a) f(wide) g(rang) n(e) h(of) e(speci\002c) h(motor) f(contr) n (ol) 450 1817 y(tasks) 21 b([14) o(,) f(15) o(],) h(and) e(al) o(w) o (ays) i(foun) n(d) g(that) f(optimal) g(feedb) n(ack) g(contro) n (llers) h(generate) e(v) n(ariability) g(that) 450 1909 y(is) i(elong) n(ated) f(in) g(redu) n(ndan) n(t) h(dimensio) n(ns.) 26 b(Here) 19 b(we) h(illustrate) g(tw) o(o) h(such) e(models.) 24 b(The) c(\002rst) g(model) 450 2000 y(\(Figure) g(2,) h(Bimanual) g(T) -7 b(asks\)) 21 b(includes) g(tw) o(o) g(1D) h(poin) n(t) g(masses) g (with) f(positions) g(X1) g(and) g(X2,) g(each) 450 2091 y(dri) n(v) o(e) n(n) f(with) h(a) f(force) f(actuator) g(whose) h (outp) n(ut) h(is) g(a) f(noisy) f(second-o) n(rder) g(lo) n(w-pass) h (\002ltered) g(v) o(ersio) n(n) 450 2182 y(of) 27 b(the) g(corr) n (espondin) n(g) g(contro) n(l) h(signal.) 45 b(The) 27 b(feedb) n(ack) g(contain) n(s) h(noisy) f(position) n(,) i(v) o (elocity) -5 b(,) 27 b(and) 450 2274 y(force) 22 b(inform) n (ation\227delay) n(ed) h(by) g(50) f(msec) i(\(by) e(augme) n(nting) h (the) g(system) g(state) h(with) f(a) h(sequen) n(ce) 450 2365 y(of) f(recent) f(sensor) h(readin) n(gs\).) 34 b(The) 23 b(\223) g(Dif) n(feren) n(ce\224) g(task) h(requ) n(ires) g (the) f(tw) o(o) g(points) g(to) g(start) h(mo) o(v) n(ing) 450 2456 y(20cm) 29 b(apar) n(t,) k(and) c(stop) g(at) h(identical) g(b) n (ut) f(unspeci\002ed) f(locations.) 53 b(The) 29 b(co) o(v) n(ar) n (iance) g(of) h(the) f(\002nal) 450 2548 y(state) 20 b(is) f(elonga) n(ted) g(in) g(the) g(task-irre) n(le) n(v) n(ant) g (dimen) n(sion:) 25 b(the) 18 b(tw) o(o) i(poin) n(ts) g(al) o(w) o (ays) f(stop) g(close) g(to) g(each) 450 2639 y(other) m(,) f(b) n(ut) h (the) g(\002nal) h(location) e(can) h(v) n(ary) f(substantially) g (from) g(trial) i(to) f(trial.) 25 b(A) 20 b(related) e(pheno) n(meno) n (n) 450 2730 y(has) 25 b(been) e(observ) o(e) n(d) i(in) f(the) h(mor) n (e) g(comple) o(x) e(biman) n(ual) i(task) g(of) f(inserting) f(a) i (pointer) e(in) i(a) g(cup) e([6].) 450 2822 y(W) -7 b(e) 31 b(no) n(w) e(modify) g(the) h(task:) 45 b(in) 30 b(\223Sum,) -6 b(\224) 29 b(the) h(tw) o(o) g(points) g(start) g(at) h (the) f(same) g(location) f(and) g(ha) n(v) o(e) 450 2913 y(to) i(stop) f(so) h(that) g(the) g(midp) n(oint) g(between) e (them) i(is) g(at) g(zero.) 56 b(Note) 31 b(that) f(the) h(state) g(co) o(v) n(ar) n(iance) g(is) 450 3004 y(reorien) n(ted) 25 b(accor) n(dingly) -7 b(.) 38 b(W) -7 b(e) 26 b(also) e(illustrate) h (a) g(V) -5 b(ia) 24 b(Point) h(task,) g(where) f(a) h(2D) f(point) g (mass) h(has) f(to) 450 3096 y(pass) j(throu) n(gh) f(a) h(sequen) n (ce) g(of) f(tw) o(o) g(intermediate) f(tar) o(gets) h(and) g(stop) g (at) h(a) g(\002nal) f(tar) o(get) g(\(tracin) n(g) h(an) 450 3187 y(S-shaped) 20 b(curv) m(e\).) 26 b(V) -9 b(ariability) 20 b(is) h(minimal) f(at) h(the) g(via) g(poin) n(ts.) 28 b(Furth) n(ermore,) 20 b(when) g(one) g(via) g(point) 450 3278 y(is) 27 b(made) f(smaller) h(\(i.e.,) g(the) f(weight) g(of) g (the) h(corre) n(spondin) n(g) g(position) n(al) g(constraint) f(is) h (increased\)) n(,) 450 3370 y(the) 21 b(v) n(ariability) g(decr) n (eases) i(at) e(that) h(point.) 28 b(Due) 21 b(to) g(space) h (limitations,) f(we) h(refer) e(the) i(reader) e(to) i([14) n(]) 450 3461 y(for) c(details) g(of) g(the) g(models.) 24 b(In) 18 b([14) n(]) h(we) f(also) h(repo) n(rt) g(a) f(via) g(point) g(e) o(xp) n(eriment) g(that) g(closely) g(matches) 450 3552 y(the) i(predicted) f (ef) n(fect.) p FF 450 3791 a(4) 99 b(Multi-attrib) n(u) r(te) 25 b(costs) f(and) i(desir) n(ed) g(trajectory) g(tracking) p FH 450 3987 a(As) f(we) f(stated) g(earlier) m(,) g(replacing) f(the) g (task) i(goal) e(with) h(a) h(desired) e(trajector) n(y) h(\(which) g (achie) n(v) m(es) h(the) 450 4078 y(goal) c(if) g(e) o(x) o(ecu) n (ted) h(prec) n(isely\)) g(is) g(gener) n(ally) f(suboptima) n(l.) 29 b(A) 22 b(num) n(ber) f(of) g(e) o(xamp) n(les) h(of) f(such) g(subop) n (-) 450 4170 y(timality) 26 b(are) g(pro) m(vided) f(in) h([14) o(].) 42 b(Here) 26 b(we) g(present) f(a) h(more) f(general) g(vie) n(w) h(of) g (desired) f(trajector) n(y) 450 4261 y(tracking) 19 b(which) g (clari\002es) i(its) g(relationship) e(to) h(optimal) g(contr) n(ol.) 450 4402 y(Desired) g(trajectory) f(tracking) g(can) i(be) f(incorp) n (orated) g(in) g(the) h(presen) n(t) h(fram) n(e) n(w) o(ork) e(by) g (using) g(a) h(mod) n(i-) 450 4493 y(\002ed) c(cost,) g(one) f(that) h (speci\002es) g(a) g(desired) f(state) i(at) f(each) f(point) g(in) h (time,) g(and) f(penalizes) g(the) h(de) n(viatio) n(ns) 450 4585 y(from) 23 b(that) i(state.) 38 b(Such) 24 b(a) h(modi\002ed) e (cost) i(w) o(ould) f(nor) n(mally) g(include) g(the) g(origin) n(al) h (task) g(cost) g(\(e.g) n(.,) 450 4676 y(the) 30 b(terms) h(that) g (specify) e(the) i(desired) f(termin) n(al) h(state\),) i(b) n(ut) e (also) g(a) g(lar) o(g) n(e) g(numb) n(er) g(of) f(addition) n(al) 450 4767 y(terms) 22 b(that) h(do) e(not) h(need) g(to) g(be) g(minimized) f (in) i(ord) n(er) g(to) f(accomp) n(lish) h(the) f(actual) g(task.) 32 b(This) 22 b(raises) 450 4859 y(the) i(question) n(:) 34 b(what) 23 b(happen) n(s) i(to) f(the) g(e) o(xpec) n(ted) g(v) n (alues) g(of) g(the) f(terms) h(in) h(the) e(original) g(cost,) i(when) 450 4950 y(we) 19 b(attempt) f(to) h(minimize) f(other) g(costs) h (simultaneo) n(usly?) 25 b(Intuiti) n(v) m(ely) -5 b(,) 18 b(one) g(w) o(ould) g(e) o(xpect) g(the) h(orig) n(-) p 90 rotate dyy eop %%Page: 7 7 7 6 bop FH 450 83 a(inal) 27 b(costs) h(to) g(increase) f(\(relati) n (v) m(e) h(to) f(the) h(costs) g(obtain) n(ed) f(by) g(the) h(task-op) n (timal) g(con) n(troller\).) 46 b(The) 450 174 y(geom) n(etric) 21 b(ar) o(g) n(ument) f(belo) n(w) f(forma) n(lizes) i(these) g(ideas,) f (and) f(con\002rms) h(our) f(intuition.) 900 1859 y @beginspecial 161 @llx 288 @lly 451 @urx 504 @ury 2520 @rwi @setspecial %%BeginDocument: fig3.eps %!PS-Adobe-3.0 EPSF-3.0 %%Creator: Adobe Illustrator(TM) 7.0 %%AI8_CreatorVersion: 10.0 %%For: (Emanuel Todorov) (UCSD) %%Title: 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%FFA8A8FFFF54FFFF547EFD78FFA8A8FF55A9A954FD7AFFA8A8547F2AFD7C %FFA8542AA9FD7DFF7E54FD7FFFA8A8FD7FFFA87DFD7FFFA8A8FD7FFFA8A8 %FD7FFFA8A8FDFCFFFD18FF527D7D7DFD0BFFA852FD6FFF527DA852FF527D %527D7D527D52A8FFA852FD6FFF2752FF5227A85252277D7D52527DFFFFF8 %A8FD6DFFA827A8FFF852F8522727275252277DFF5252A8FD72FF527D7DFD %FCFFFDC3FFFF %%EndData %%EndComments %%BeginProlog %%BeginResource: procset Adobe_level2_AI5 1.2 0 %%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation) %%Version: 1.2 0 %%CreationDate: (04/10/93) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) userdict /Adobe_level2_AI5 26 dict dup begin put /packedarray where not { userdict begin /packedarray { array astore readonly } bind def /setpacking /pop load def /currentpacking false def end 0 } if pop userdict /defaultpacking currentpacking put true setpacking /initialize { Adobe_level2_AI5 begin } bind def /terminate { currentdict Adobe_level2_AI5 eq { end } if } bind def mark /setcustomcolor where not { /findcmykcustomcolor { (AI8_CMYK_CustomColor) 6 packedarray } bind def /findrgbcustomcolor { (AI8_RGB_CustomColor) 5 packedarray } bind def /setcustomcolor { exch aload pop dup (AI8_CMYK_CustomColor) eq { pop pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } { dup (AI8_RGB_CustomColor) eq { pop pop 3 { 1 exch sub 3 index mul 1 exch sub 3 1 roll } repeat 4 -1 roll pop setrgbcolor } { pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } ifelse } ifelse } def } if /setAIseparationgray { false setoverprint 0 setgray /setseparationgray where{ pop setseparationgray }{ /setcolorspace where{ pop [/Separation (All) /DeviceCMYK {dup dup dup}] setcolorspace 1 exch sub setcolor }{ setgray }ifelse }ifelse } def /gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put userdict /level2? systemdict /languagelevel known dup { pop systemdict /languagelevel get 2 ge } if put /level2ScreenFreq { begin 60 HalftoneType 1 eq { pop Frequency } if HalftoneType 2 eq { pop GrayFrequency } if HalftoneType 5 eq { pop Default level2ScreenFreq } if end } bind def userdict /currentScreenFreq level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put level2? not { /setcmykcolor where not { /setcmykcolor { exch .11 mul add exch .59 mul add exch .3 mul add 1 exch sub setgray } def } if /currentcmykcolor where not { /currentcmykcolor { 0 0 0 1 currentgray sub } def } if /setoverprint where not { /setoverprint /pop load def } if /selectfont where not { /selectfont { exch findfont exch dup type /arraytype eq { makefont } { scalefont } ifelse setfont } bind def } if /cshow where not { /cshow { [ 0 0 5 -1 roll aload pop ] cvx bind forall } bind def } if } if cleartomark /anyColor? { add add add 0 ne } bind def /testColor { gsave setcmykcolor currentcmykcolor grestore } bind def /testCMYKColorThrough { testColor anyColor? } bind def userdict /composite? 1 0 0 0 testCMYKColorThrough 0 1 0 0 testCMYKColorThrough 0 0 1 0 testCMYKColorThrough 0 0 0 1 testCMYKColorThrough and and and put composite? not { userdict begin gsave /cyan? 1 0 0 0 testCMYKColorThrough def /magenta? 0 1 0 0 testCMYKColorThrough def /yellow? 0 0 1 0 testCMYKColorThrough def /black? 0 0 0 1 testCMYKColorThrough def grestore /isCMYKSep? cyan? magenta? yellow? black? or or or def /customColor? isCMYKSep? not def end } if end defaultpacking setpacking %%EndResource %%BeginResource: procset Adobe_typography_AI5 1.0 1 %%Title: (Typography Operators) %%Version: 1.0 1 %%CreationDate:(6/10/1996) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_typography_AI5 68 dict dup begin put /initialize { begin begin Adobe_typography_AI5 begin Adobe_typography_AI5 { dup xcheck { bind } if pop pop } forall end end end Adobe_typography_AI5 begin } def /terminate { currentdict Adobe_typography_AI5 eq { end } if } def /modifyEncoding { /_tempEncode exch ddef /_pntr 0 ddef { counttomark -1 roll dup type dup /marktype eq { pop pop exit } { /nametype eq { _tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll put } { /_pntr exch ddef } ifelse } ifelse } loop _tempEncode } def /havefont { systemdict /languagelevel known { /Font resourcestatus dup { exch pop exch pop } if } { systemdict /FontDirectory get 1 index known { pop true } { systemdict /fileposition known { dup length 6 add exch Ss 6 250 getinterval cvs pop Ss exch 0 exch getinterval status { pop pop pop pop true } { false } ifelse } { pop false } ifelse } ifelse } ifelse } def /TE { StandardEncoding 256 array copy modifyEncoding /_nativeEncoding exch def } def /subststring { exch 2 index exch search { exch pop exch dup () eq { pop exch concatstring } { 3 -1 roll exch concatstring concatstring } ifelse exch pop true } { pop pop false } ifelse } def /concatstring { 1 index length 1 index length 1 index add string dup 0 5 index putinterval dup 2 index 4 index putinterval 4 1 roll pop pop pop } def % /TZ { dup type /arraytype eq { /_wv exch def } { /_wv 0 def } ifelse /_useNativeEncoding exch def 2 index havefont { 3 index 255 string cvs dup (_Symbol_) eq { pop 2 index findfont } { 1 index 0 eq { dup length 1 sub 1 exch getinterval cvn findfont } { pop 2 index findfont } ifelse } ifelse } { dup 1 eq { 2 index 64 string cvs dup (-90pv-RKSJ-) (-83pv-RKSJ-) subststring { exch pop dup havefont { findfont false } { pop true } ifelse } { pop dup (-90ms-RKSJ-) (-Ext-RKSJ-) subststring { exch pop dup havefont { findfont false } { pop true } ifelse } { pop pop true } ifelse } ifelse { 1 index 1 eq { /Ryumin-Light-Ext-RKSJ-V havefont {/Ryumin-Light-Ext-RKSJ-V} {/Courier} ifelse } { /Ryumin-Light-83pv-RKSJ-H havefont {/Ryumin-Light-83pv-RKSJ-H} {/Courier} ifelse } ifelse findfont [1 0 0.5 1 0 0] makefont } if } { /Courier findfont } ifelse } ifelse _wv type /arraytype eq { _wv makeblendedfont } if dup length 10 add dict begin mark exch { 1 index /FID ne { def } if cleartomark mark } forall pop /FontScript exch def /FontDirection exch def /FontRequest exch def /FontName exch def counttomark 0 eq { 1 _useNativeEncoding eq { /Encoding _nativeEncoding def } if cleartomark } { /Encoding load 256 array copy modifyEncoding /Encoding exch def } ifelse FontName currentdict end definefont pop } def /tr { _ax _ay 3 2 roll } def /trj { _cx _cy _sp _ax _ay 6 5 roll } def /a0 { /Tx { dup currentpoint 3 2 roll tr _psf newpath moveto tr _ctm _pss } ddef /Tj { dup currentpoint 3 2 roll trj _pjsf newpath moveto trj _ctm _pjss } ddef } def /a1 { W B } def /e0 { /Tx { tr _psf } ddef /Tj { trj _pjsf } ddef } def /e1 { W F } def /i0 { /Tx { tr sp } ddef /Tj { trj jsp } ddef } def /i1 { W N } def /o0 { /Tx { tr sw rmoveto } ddef /Tj { trj swj rmoveto } ddef } def /r0 { /Tx { tr _ctm _pss } ddef /Tj { trj _ctm _pjss } ddef } def /r1 { W S } def /To { pop _ctm currentmatrix pop } def /TO { iTe _ctm setmatrix newpath } def /Tp { pop _tm astore pop _ctm setmatrix _tDict begin /W { } def /h { } def } def /TP { end iTm 0 0 moveto } def /Tr { _render 3 le { currentpoint newpath moveto } if dup 8 eq { pop 0 } { dup 9 eq { pop 1 } if } ifelse dup /_render exch ddef _renderStart exch get load exec } def /iTm { _ctm setmatrix _tm concat _shift aload pop _lineorientation 1 eq { exch } if translate _scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale } def /Tm { _tm astore pop iTm 0 0 moveto } def /Td { _mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto } def /iTe { _render -1 eq { } { _renderEnd _render get dup null ne { load exec } { pop } ifelse } ifelse /_render -1 ddef } def /Ta { pop } def /Tf { 1 index type /nametype eq { dup 0.75 mul 1 index 0.25 mul neg } if /_fontDescent exch ddef /_fontAscent exch ddef /_fontSize exch ddef /_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef /_fontHeight _fontSize ddef findfont _fontSize scalefont setfont } def /Tl { pop neg 0 exch _leading astore pop } def /Tt { pop } def /TW { 3 npop } def /Tw { /_cx exch ddef } def /TC { 3 npop } def /Tc { /_ax exch ddef } def /Ts { 0 exch _shift astore pop currentpoint iTm moveto } def /Ti { 3 npop } def /Tz { count 1 eq { 100 } if 100 div exch 100 div exch _scale astore pop iTm } def /TA { pop } def /Tq { pop } def /Tg { pop } def /TG { pop } def /Tv { /_lineorientation exch ddef } def /TV { /_charorientation exch ddef } def /Ty { dup /_yokoorientation exch ddef 1 sub neg Tv } def /TY { pop } def /T~ { Tx } def /Th { pop pop pop pop pop } def /TX { pop } def /Tk { _fontSize mul 1000 div _lineorientation 0 eq { neg 0 } { 0 exch } ifelse rmoveto pop } def /TK { 2 npop } def /T* { _leading aload pop _lineorientation 0 ne { exch } if Td } def /T*- { _leading aload pop _lineorientation 0 ne { exch } if exch neg exch neg Td } def /T- { _ax neg 0 rmoveto _lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse } def /T+ { } def /TR { _ctm currentmatrix pop _tm astore pop iTm 0 0 moveto } def /TS { currentfont 3 1 roll /_Symbol_ findfont _fontSize scalefont setfont 0 eq { Tx } { Tj } ifelse setfont } def /Xb { pop pop } def /Tb /Xb load def /Xe { pop pop pop pop } def /Te /Xe load def /XB { } def /TB /XB load def currentdict readonly pop end setpacking % /X^ { currentfont 5 1 roll dup havefont { findfont _fontSize scalefont setfont } { pop exch } ifelse 2 index 0 eq { Tx } { Tj } ifelse pop pop setfont } def /T^ /X^ load def %%EndResource %%BeginResource: procset AGM_Gradient_Sep 1.0 0 %%Title: (AGM Gradient Procset) %%Version: 1.0 0 %%CreationDate: (4/26/96) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) userdict /defaultpacking currentpacking put true setpacking userdict /AGM_Gradient_Sep 5 dict dup begin put /AGM_Gradient_Sep_private 100 dict def /initialize{ AGM_Gradient_Sep begin AGM_Gradient_Sep_private begin _compositeJob{ initializeSinglePassSeps }{ initializeMultiPassSeps }ifelse initializeSeps AGM_Gradient_private begin /_fillSD newSpotDict def /_rampSD newSpotDict def /_nCustomColorSD nd end AGM_Gradient_Sep_private { dup xcheck 1 index type /arraytype eq and { bind }if pop pop }forall AGM_Gradient_Sep { dup xcheck 1 index type /arraytype eq and { bind }if pop pop }forall end currentdict readonly pop end }def /terminate{ currentdict AGM_Gradient_Sep eq{ end }if }def AGM_Gradient_Sep_private begin /initializeSeps{ /currentoverprint { _of } def _noImage not _level2PS not and{ /linealFill{ currentoverprint{ 0 0 1 1 rectfill }{ mySave 8 setImageParms _color{ _nCustomColorSD begin cyan magenta yellow black _spotColor{ spot1/tintImage spot1/tintValue get 1 exch sub makeByte8 put spot2/tintImage spot2/tintValue get 1 exch sub makeByte8 put }if end 4{ makeByte8 4 1 roll }repeat true 4 _nCustomColorSD ncolorimage }{ _nCustomColorSD/black get 1 exch sub makeByte8 _nCustomColorSD bwImage }ifelse myRestore }ifelse }def }if /_whiteBytes 1 makeByte8 pt /knockOut{ _noImage _level2PS or currentoverprint or{ gsave false setoverprint 1 setgray 0 0 1 1 rectfill grestore }{ 8 setImageParms _whiteBytes /_image load 5 execImage }ifelse }def /newSpotDict{ 11 dict dup begin /nSpots 2 def /spot1 7 dict def /spot2 7 dict def end }def /initSpotData { begin /name nd /tintImage nd /tintValue nd /spot_C nd /spot_M nd /spot_Y nd /spot_K nd end }def /initSpotDict{ begin /cyanInk nd /magentaInk nd /yellowInk nd /blackInk nd /cyan nd /magenta nd /yellow nd /black nd spot1 initSpotData spot2 initSpotData end }def /copySpotDict{ /_dst xp begin cyanInk magentaInk yellowInk blackInk cyan magenta yellow black spot1 spot2 end _dst begin /spot1 spot1 maxlength dict def /spot2 spot2 maxlength dict def spot2 copy pop spot1 copy pop /black xd /yellow xd /magenta xd /cyan xd /blackInk xd /yellowInk xd /magentaInk xd /cyanInk xd end }def /setCustomColor { 1 index /Black eq{ 6 1 roll 5 npop 1 exch sub setgray }{ 6 1 roll _ccAry1 astore exch dup null eq{ pop 0 }if setcustomcolor }ifelse }def /setCStop{ /_colorStyle exch pt _colorStyle 0 eq{ 0 0 0 4 -1 roll 1 exch sub _spotColor{ /_colorStyle 3 pt /Black 1 index 1 exch sub }if }if _colorStyle 2 eq{ 3 npop }if _rampSD _fillSD copySpotDict _colorStyle 4 eq{ pop 9 2 roll 3 npop 6 -2 roll } if _colorStyle 3 eq _colorStyle 4 eq or{ _fillSD begin /_spot1 spot1 pt /_spot2 spot2 pt end exch dup _spot1/name get eq{ _spot1 _spot2 }{ _spot2 _spot1 }ifelse begin begin /name xd 1 exch sub /tintValue xd 4{ tintValue mul 4 1 roll }repeat _spotColor not{ /tintValue null def }if end /tintValue 0 def end }if _fillSD nsetcustomcolor }def /renderCMYK{ spot1/name get null eq spot2/name get null eq and dup not{ pop spot1 spotConverted }if dup not{ pop spot2 spotConverted }if }def /currentInk{ true _inRipSep{ currentcolorspace 0 get dup /DeviceGray eq 1 index /DeviceCMYK eq or{ pop currentcmykcolor add add add 0 eq{ pop false }if }{ /Separation eq{ currentcolor 0 eq{ pop false }if }if }ifelse }{ currentgray 1 eq{ pop false }if }ifelse }def /currentInkN{ _nCustomColorSD begin /_spot1 spot1 pt /_spot2 spot2 pt renderCMYK end { currentInk }{ gsave _spot1 begin name null ne{ spot_C spot_M spot_Y spot_K name tintValue setCustomColor currentInk }{ false }ifelse end _spot2 begin name null ne{ spot_C spot_M spot_Y spot_K name tintValue setCustomColor currentInk }{ false }ifelse end grestore or } ifelse }def /fill_ /fill load def /fillOvp{ currentoverprint{ _inRipSep{ currentcolorspace 0 get dup /DeviceGray eq 1 index /DeviceCMYK eq or{ pop currentcmykcolor add add add 0 eq{ newpath }if }{ /Separation eq{ currentcolor 0 eq{ newpath }if }if }ifelse }{ currentgray 1 eq{ newpath }if }ifelse }if fill_ }def /fill{ _nCustomColorSD begin /_spot1 spot1 pt /_spot2 spot2 pt renderCMYK end { fillOvp }{ _spot1 begin gsave name null ne{ spot_C spot_M spot_Y spot_K name tintValue setCustomColor }{ 1 setgray }ifelse fillOvp grestore end _spot2 begin name null ne{ gsave true setoverprint spot_C spot_M spot_Y spot_K name tintValue setCustomColor fillOvp grestore }if end newpath }ifelse }def /expandSpot{ _spotColor{ /_len xp _rampSD begin spot1 begin tintImage null ne{ tintImage _len expandOne /tintImage xd }if end spot2 begin tintImage null ne{ tintImage _len expandOne /tintImage xd }if end end }{ pop }ifelse }def /rampImage{ currentoverprint{ rectImage }{ _enabledSmoothShade{ fillRamp }{ _color{ _rampSD begin /cyanInk _cyanData 0 ne def /magentaInk _magentaData 0 ne def /yellowInk _yellowData 0 ne def /blackInk _blackData 0 ne def end _nSamples setImageParms _nSamples expandSpot _cyanData _magentaData _yellowData _blackData _nSamples 4 expandColor true 4 _rampSD ncolorimage }{ _rampSD begin /cyanInk false def /magentaInk false def /yellowInk false def /blackInk true def end _nSamples setImageParms _blackData _rampSD bwImage }ifelse }ifelse }ifelse }def /nsetcustomcolor where{ pop }{ /nsetcustomcolor { /_nCustomColorSD xp _nCustomColorSD begin 4 copy /black xd /yellow xd /magenta xd /cyan xd 4 copy 0 ne /blackInk xd 0 ne /yellowInk xd 0 ne /magentaInk xd 0 ne /cyanInk xd end setcmykcolor }def }ifelse /nsetcustomcolorend where{ pop }{ /nsetcustomcolorend { /_nCustomColorSD null pt }def }ifelse }def /initializeSinglePassSeps{ /_decodeNorm [0 1] pt /_decodeInvert [1 0] pt /spotConverted { begin name null eq{ false }{ tintValue null eq tintImage null eq and{ true }{ _inDistiller{ false }{ false currentpagedevice/SeparationColorNames get{name eq or}forall not }ifelse }ifelse }ifelse end }def /dictImage { 20 dict dup begin /Dict xd /Decode xd /DataSource xd /ImageMatrix xd /BitsPerComponent xd /Height xd /Width xd /ImageType 1 def Dict end /_image load 1 execImage }def /bwImage{ begin gsave currentoverprint{ blackInk{ [/Separation /Black /DeviceGray{}] setcolorspace _decodeInvert dictImage }{ 5 npop }ifelse }{ /DeviceGray setcolorspace _decodeNorm dictImage }ifelse grestore end }def /ncolorimage where{ pop }{ /ncolorimage{ begin renderCMYK{ cyanInk magentaInk and yellowInk and blackInk and not currentoverprint and{ pop pop gsave cyanInk{ 8 copy [/Separation /Cyan /DeviceGray{}] setcolorspace 3 npop _decodeNorm dictImage }if magentaInk{ 8 copy [/Separation /Magenta /DeviceGray{}] setcolorspace 4 -1 roll 3 npop _decodeNorm dictImage }if yellowInk{ 8 copy [/Separation /Yellow /DeviceGray{}] setcolorspace 4 -2 roll 3 npop _decodeNorm dictImage }if blackInk{ 4 -3 roll [/Separation /Black /DeviceGray{}] setcolorspace 3 npop _decodeNorm dictImage }{ 8 npop }ifelse grestore }{ /_colorimage load 10 execImage }ifelse }{ 6 npop gsave spot1 begin name null ne tintImage null ne and{ [/Separation name /DeviceGray{}] setcolorspace 4 copy tintImage name /Black eq{ _decodeNorm }{ _decodeInvert }ifelse dictImage }{ 1 setgray fill }ifelse end spot2 begin true setoverprint name null ne tintImage null ne and{ [/Separation name /DeviceGray{}] setcolorspace tintImage name /Black eq{ _decodeNorm }{ _decodeInvert }ifelse dictImage }{ 4 npop 1 setgray fill }ifelse end grestore }ifelse end }def }ifelse /getRampColorSpace{ /_renderCMYK _rampSD begin renderCMYK end pt _renderCMYK not{ _rampSD begin [/DeviceN [ spot1 begin name null ne tintImage null ne and{ name }if end spot2 begin name null ne tintImage null ne and{ name }if end ] _inDistiller { /DeviceCMYK [ spot1 begin name null ne tintImage null ne and{ spot_C spot_M spot_Y spot_K 1 }{ 0 0 0 0 0 }ifelse end spot2 begin name null ne tintImage null ne and{ spot_C spot_M spot_Y spot_K 2 }{ 0 0 0 0 0 }ifelse end 5 1 roll 6 -2 roll add dup 1 eq { pop 8 /index cvx 1 /exch cvx /sub cvx 9 1 /roll cvx }{ 2 eq { 8 /index cvx 1 /exch cvx /sub cvx 10 1 /roll cvx }if }ifelse 4 1 /roll cvx 5 -2 /roll cvx 8 /index cvx /mul cvx /exch cvx 9 /index cvx /mul cvx /add cvx 7 1 /roll cvx 3 1 /roll cvx 4 -2 /roll cvx 7 /index cvx /mul cvx /exch cvx 8 /index cvx /mul cvx /add cvx 6 1 /roll cvx 2 1 /roll cvx 3 -2 /roll cvx 6 /index cvx /mul cvx /exch cvx 7 /index cvx /mul cvx /add cvx 5 1 /roll cvx 5 /index cvx /mul cvx /exch cvx 6 /index cvx /mul cvx /add cvx 4 1 /roll cvx 6 -2 /roll cvx /pop cvx /pop cvx ] cvx bind }{ /DeviceCMYK {} }ifelse ] setcolorspace end /_nColorSpace currentcolorspace pt }if _nSamples 1 gt{ /_ndx 0 pt [blendColor] cvx exec }if _renderCMYK{ /_C0 [currentcolor] pt /_C0_Space currentcolorspace pt }{ /_C0 [ _nCustomColorSD begin spot1 begin name null ne{ tintValue }if end spot2 begin name null ne{ tintValue }if end end ] pt /_C0_Space _nColorSpace pt }ifelse _nSamples 1 gt{ /_ndx _nSamples 1 sub pt [blendColor] cvx exec }if _renderCMYK{ /_C1 [currentcolor] pt /_C1_Space currentcolorspace pt }{ /_C1 [ _nCustomColorSD begin spot1 begin name null ne{ tintValue }if end spot2 begin name null ne{ tintValue }if end end ] pt /_C1_Space _nColorSpace pt }ifelse /_rampColorSpace _C0_Space pt _spotColor{ nsetcustomcolorend }if }def }def /initializeMultiPassSeps{ /invertXfer{ [ { 1 exch sub }/exec load systemdict /currenttransfer get exec /exec load ] cvx systemdict /settransfer get exec }def /ccThrough{ gsave 1 setCustomColor currentcmykcolor grestore add add add 0 ne }def /spotConverted { begin _isCMYKSep not{ false }{ name null eq{ false }{ tintValue null eq tintImage null eq and{ true }{ spot_C spot_M spot_Y spot_K name ccThrough }ifelse }ifelse }ifelse end }def /spotChannel { _isCMYKSep{ pop false }{ /_spotDict xp _spotDict/name get null eq{ false }{ _spotDict/spot_C get _spotDict/spot_M get _spotDict/spot_Y get _spotDict/spot_K get _spotDict/name get ccThrough }ifelse }ifelse }def /getChannelData { _isCMYKSep dup{ pop renderCMYK }if { _blackPlate{ 4 1 roll 3 npop blackInk }{ _yellowPlate{ 4 2 roll 3 npop yellowInk }{ _magentaPlate{ 4 3 roll 3 npop magentaInk }{ 3 npop cyanInk }ifelse }ifelse }ifelse { true /nonZeroData }{ true /zeroData }ifelse }{ 4 npop spot1/name get null ne spot1 spotChannel and{ spot1/tintImage get dup null ne{ false /nonZeroData }{ pop false /noData }ifelse }{ spot2/name get null ne spot2 spotChannel and{ spot2/tintImage get dup null ne{ false /nonZeroData }{ pop false /noData }ifelse }{ false /noData }ifelse }ifelse }ifelse }def /renderChannelData { /_tmp xp _tmp /nonZeroData ne currentoverprint and{ pop _tmp /zeroData eq{pop}if 4 npop }{ _tmp /nonZeroData eq{ { invertXfer }if systemdict/image get 5 execImage }{ pop _tmp /zeroData eq{pop}if 4 npop knockOut }ifelse }ifelse }def /bwImage{ begin gsave dup dup dup getChannelData exch pop false exch renderChannelData grestore end }def /ncolorimage{ begin pop pop gsave spot2/name get null ne spot2 spotChannel and{ true setoverprint }if getChannelData renderChannelData grestore end }def /getRampColorSpace{ /_renderCMYK _rampSD begin renderCMYK end pt _nSamples 1 gt{ /_ndx 0 pt [blendColor] cvx exec }if _renderCMYK{ /_C0 [currentcolor] pt /_C0_Space currentcolorspace pt }{ /_C0 [ _nCustomColorSD begin 0 spot1 begin name null ne tintValue null ne and spot1 spotChannel and{ pop tintValue }if end spot2 begin name null ne tintValue null ne and spot2 spotChannel and{ pop tintValue }if end 1 exch sub end ] pt /_C0_Space /DeviceGray pt }ifelse _nSamples 1 gt{ /_ndx _nSamples 1 sub pt [blendColor] cvx exec }if _renderCMYK{ /_C1 [currentcolor] pt /_C1_Space currentcolorspace pt }{ /_C1 [ _nCustomColorSD begin 0 spot1 begin name null ne tintValue null ne and spot1 spotChannel and{ pop tintValue }if end spot2 begin name null ne tintValue null ne and spot2 spotChannel and{ pop tintValue }if end 1 exch sub end ] pt /_C1_Space /DeviceGray pt }ifelse /_rampColorSpace _C0_Space pt _spotColor{ nsetcustomcolorend }if }def }def end end defaultpacking setpacking %%EndResource %%BeginResource: procset AGM_Gradient 1.0 0 %%Title: (AGM Gradient Procset) %%Version: 1.0 0 %%CreationDate: (4/26/96) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) userdict /defaultpacking currentpacking put true setpacking userdict /AGM_Gradient 20 dict dup begin put /AGM_Gradient_private 201 dict def /initialize { AGM_Gradient begin AGM_Gradient_private begin initializeVars /bd systemdict/mark get def /ed _level2PS { (>>) }{ (counttomark 2 idiv dup dict begin {def} repeat pop currentdict end) } ifelse cvx def _level2PS{ initializeLev2 }{ initializeLev1 }ifelse queryDevice initializeRectFill initializeShading initializeOps _producingSeps{ AGM_Gradient_Sep/initialize get exec }{ initializeComposite }ifelse _illustrator{ /f{}def /F{}def /s{}def /S{}def /b{}def /B{}def }if /image where{ /image get /_image xd }if /colorimage where{ /colorimage get /_colorimage xd }if AGM_Gradient_private { dup xcheck 1 index type /arraytype eq and { bind }if pop pop }forall AGM_Gradient { dup xcheck 1 index type /arraytype eq and { bind }if pop pop }forall end currentdict readonly pop end }def /initializeAI { pop pop AGM_Gradient/AGM_Gradient_private get /_illustrator true put AGM_Gradient/initialize get exec AGM_Gradient begin }def /unload{ systemdict/languagelevel known{ systemdict/languagelevel get 2 ge{ userdict/AGM_Gradient_Sep 2 copy known{ undef }{ pop pop }ifelse userdict/AGM_Gradient 2 copy known{ undef }{ pop pop }ifelse }if }if }def /terminate{ currentdict AGM_Gradient eq{ end }if }def AGM_Gradient_private begin /initializeVars{ /_d255 256 array def 0 1 255{ _d255 exch dup 255 div put }bind for /_d255- 256 array def 0 1 255{ _d255- exch 1 _d255 2 index get sub put }bind for /_sSave nd /_dUserSpace matrix defaultmatrix def /_bUMatrix matrix def /_imageMatrix matrix def /_saveMatrix matrix def /_xm matrix def /_ccAry1 5 array def /_bbox 4 array pt /_level2PS systemdict/languagelevel known dup{ pop systemdict/languagelevel get 2 ge }if def /_level3PS _level2PS systemdict/shfill known and def currentdict /_illustrator known not{ /_illustrator false def }if }def /initializeOps { AGM_Gradient begin currentdict/Bc known not{ /Bc{ _renderFlag 2 eq _enabledSmoothShade or{ 6 npop }{ pushBSpace _rampIndex 0 eq{ pop pop setCStop }if linealFill popBSpace }ifelse }def }if currentdict/Bg known not{ /Bg{ 10 npop /_gradName xp /_renderFlag xp /_enabledSmoothShade false pt _renderFlag 2 ne{ _illustrator{ _of setoverprint }if /_enabledSmoothShade _level3PS{ _usingSmoothShade _producingSeps not currentoverprint not or and _noImage not and }{ false }ifelse pt _illustrator _eo and _renderFlag 3 eq or{ eoclip }{ clip }ifelse _gradNames _gradName 2 copy known{ get mark exch aload pop /_gradType xp 1 sub dup /_rampIndex xp /_maxRampIndex xp mark exch aload pop 0 0 }if pop pop getRampData }{ mark mark }ifelse }def }if currentdict/Bm known not{ /Bm{ _renderFlag 2 ne{ _gradType 0 eq{ linealRamp }{ radialGrad }ifelse }{ 6 npop }ifelse }def }if currentdict/Bh known not{ /Bh{ 2 npop /_yHi xp /_xHi xp /_radHilite _xHi 0 ne _yHi 0 ne or pt }def }if currentdict/Bn known not{ /Bn{ AGM_Gradient_private begin dict /_gradNames xp end }def }if currentdict/Bd known not{ /Bd{ AGM_Gradient begin AGM_Gradient_private begin /_nColorsBd xp /_gradType xp /_gradName xp }def }if currentdict/BD known not{ /BD{ currentdict/_gradNames known not{ /_gradNames 20 dict def }if ] _nColorsBd _gradType ] _gradName exch /_gradNames xput end end }def }if currentdict/Bb known not{ /Bb{ AGM_Gradient/AGM_Gradient_private get /_illustrator get not{ AGM_Gradient begin }if AGM_Gradient_private begin _producingSeps{ AGM_Gradient_Sep/AGM_Gradient_Sep_private get begin }if mySave }def }if currentdict/BB known not{ /BB{ /_tmp xp cleartomark cleartomark _tmp dup _renderFlag myRestore _producingSeps{ end }if _illustrator dup end not { end }if { 2 ne exch 0 gt and{ 2 eq{ s }{ S }ifelse }{ pop newpath }ifelse }{ pop newpath }ifelse }def }if currentdict/Xm known not{ /Xm{ _xm astore pop }def }if end }def /queryDevice{ /_inDistiller systemdict /currentdistillerparams known def /_inRipSep _level2PS{ currentpagedevice/Separations 2 copy known{ get }{ pop pop false }ifelse }{ false }ifelse _inDistiller or def /_noImage /lv1Fix where{ pop lv1Fix }{ false }ifelse def /_useShells where{ /_useShells get /_usingShells xp }{ /_usingShells false def }ifelse /_useSmoothShade where{ pop }{ /_useSmoothShade false def }ifelse /_forceToCMYK where{ pop }{ /_forceToCMYK false def }ifelse /_cyanPlate 1 0 0 0 testCMYKColorThrough def /_magentaPlate 0 1 0 0 testCMYKColorThrough def /_yellowPlate 0 0 1 0 testCMYKColorThrough def /_blackPlate 0 0 0 1 testCMYKColorThrough def /_compositeJob _cyanPlate _magentaPlate and _yellowPlate and _blackPlate and def /_isCMYKSep _cyanPlate _magentaPlate or _yellowPlate or _blackPlate or def /_compositeSpotDevice where{ pop }{ /_compositeSpotDevice _compositeJob not _inRipSep or{ 1 }{ 0 }ifelse def }ifelse /_producingSeps _compositeSpotDevice 0 ne def /_deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /_dpiThreshold where{ pop }{ /_dpiThreshold 600 def }ifelse /_screenFreqThreshold where{ pop }{ /_screenFreqThreshold 150 def }ifelse /_contoneDevice where{ pop }{ /_contoneDevice false def }ifelse /_subSampleOK _deviceDPI _dpiThreshold le currentScreenFreq _screenFreqThreshold le and _contoneDevice not and def }def /initializeRectFill{ /rectfill where dup{ exch pop not _producingSeps or }{ not }ifelse { /rectfill{ gsave newpath 4 2 roll moveto 1 index 0 rlineto 0 1 index rlineto 1 index neg 0 rlineto pop pop closepath fill grestore }def }if }def /initializeLev1{ /currentScreenFreq{ currentscreen pop pop }def /_byte 1 string def /colorimage where{ pop }{ /colorimage{ pop pop /_blackTmp xp /_yellowTmp xp /_magentaTmp xp /_cyanTmp xp /_cnt 0 pt [ _byte dup 0 _cyanTmp /_cnt cvx /get cvx _d255 /exch cvx /get cvx .3 /mul cvx _magentaTmp /_cnt cvx /get cvx _d255 /exch cvx /get cvx .59 /mul cvx _yellowTmp /_cnt cvx /get cvx _d255 /exch cvx /get cvx .11 /mul cvx _blackTmp /_cnt cvx /get cvx _d255 /exch cvx /get cvx /add cvx /add cvx /add cvx 1 /exch cvx /sub cvx /dup cvx 0 /lt cvx{ pop 0 }/if cvx /dup cvx 1 /gt cvx{ pop 1 }/if cvx 255 /mul cvx /cvi cvx 256 /mod cvx /dup cvx 0 /lt cvx{ pop 0 }/if cvx /put cvx /_cnt dup cvx 1 /add cvx /pt cvx ] cvx bind /_image load 5 execImage }def }ifelse }def /initializeLev2{ /level2ScreenFreq{ begin 60 HalftoneType 1 eq{ pop Frequency }if HalftoneType 2 eq{ pop GrayFrequency }if HalftoneType 5 eq{ pop Default level2ScreenFreq }if end }def /currentScreenFreq{ currenthalftone level2ScreenFreq }def }def /initializeShading{ _useSmoothShade _level3PS and{ /_usingSmoothShade true pt initializeLev3_Ops }{ /_usingSmoothShade false pt }ifelse }def /initializeLev3_Ops { /initShFill{ /_index _gradType 0 eq {0}{_maxRampIndex 1 sub} ifelse pt /_rampFuncsArray _maxRampIndex array pt /_boundsArray _maxRampIndex 1 sub array pt /_encodeArray _maxRampIndex 2 mul array pt /_beginCoord _rampPoint pt /_colorSpace null pt /_firstFill _rampIndex _maxRampIndex eq pt /_lastFill false pt }def /linealShFill{ popBSpace _xm aload pop pushBSpace /_size _index 1 add pt _size _maxRampIndex lt { /_rampFuncsArray _rampFuncsArray 0 _size getinterval pt /_boundsArray _boundsArray 0 _size 1 sub getinterval pt /_encodeArray _encodeArray 0 _size 2 mul getinterval pt }if bd /ShadingType 2 /ColorSpace _colorSpace _rgbInCMYK{ /Function [ _cData sampFunc _mData sampFunc _yData sampFunc _kData sampFunc ] }{ /Function bd /FunctionType 3 /Domain [0 1] /Functions _rampFuncsArray /Bounds _boundsArray /Encode _encodeArray ed }ifelse /Extend [_firstFill _lastFill] /Domain [0 1] /Coords [_beginCoord 0 _endCoord 0] ed shfill }def /radialShFill{ /_size _maxRampIndex _index sub pt _size _maxRampIndex lt { /_rampFuncsArray _rampFuncsArray _index _size getinterval pt /_boundsArray _boundsArray _index _size 1 sub getinterval pt /_encodeArray _encodeArray _index 2 mul _size 2 mul getinterval pt }if /_rampLen _beginCoord _endCoord sub pt bd /ShadingType 3 /ColorSpace _colorSpace _rgbInCMYK{ /Function [ _cData sampFunc _mData sampFunc _yData sampFunc _kData sampFunc ] }{ /Function bd /FunctionType 3 /Domain [0 1] /Functions _rampFuncsArray /Bounds _boundsArray /Encode _encodeArray ed }ifelse /Extend [_lastFill _firstFill] /Domain [0 1] /Coords [_xHi _rampLen mul _yHi _rampLen mul _endCoord 0 0 _beginCoord] ed shfill _radHilite{ _xHi _rampLen mul _yHi _rampLen mul translate }if }def % /sampFunc{ /_tmp exch pt bd _tmp length 1 eq { _tmp 0 get /_tmp 2 string pt dup _tmp 0 3 -1 roll put _tmp 1 3 -1 roll put }if /FunctionType 0 /Order 1 /Size [_tmp length] /Domain [0 1] /BitsPerSample 8 /DataSource _tmp /Range [0 1] ed }def /fillRamp{ /_invert _midPoint 0.5 lt pt _rampIndex _maxRampIndex eq { initShFill }if getRampColorSpace _colorSpace null eq{ /_colorSpace _rampColorSpace pt }{ _colorSpace _rampColorSpace ne _rgbInCMYK or{ /_index _index 1 _gradType 0 eq{ sub pt linealShFill }{ add pt radialShFill }ifelse initShFill /_colorSpace _rampColorSpace pt } if }ifelse /_endCoord _endPoint pt /_rgbInCMYK false pt _producingSeps _forceToCMYK or _rgbRamp and { _spotColor{ _renderCMYK }{ _isCMYKSep }ifelse }{ false }ifelse { _compositeJob{ /_rgbInCMYK true pt _cyanData _magentaData _yellowData _blackData _nSamples 4 expandColor dup length string copy /_kData exch pt dup length string copy /_yData exch pt dup length string copy /_mData exch pt dup length string copy /_cData exch pt }{ _rampFuncsArray _index _cyanPlate{_cyanData}if _magentaPlate{_magentaData}if _yellowPlate{_yellowData}if _blackPlate{_blackData}if _nSamples expandOne sampFunc dup begin /Decode [1 0] def end put /_invert false pt }ifelse }{ _rampFuncsArray _index bd /FunctionType 2 /Domain [0 1] /N 0.5 log _invert{1 _midPoint sub}{_midPoint}ifelse log div _gradType 0 eq{ _invert{/C1}{/C0}ifelse _C0 _invert{/C0}{/C1}ifelse _C1 }{ _invert{/C0}{/C1}ifelse _C1 _invert{/C1}{/C0}ifelse _C0 }ifelse ed put }ifelse _rampIndex 1 ne{ _boundsArray _index _gradType 1 eq{1 sub}if _endCoord put } if 0 1 _invert {exch}if _encodeArray _index 2 mul 1 add 3 -1 roll put _encodeArray _index 2 mul 3 -1 roll put _rampIndex 1 eq { /_lastFill true pt _gradType 0 eq{ linealShFill }{ radialShFill }ifelse }if /_index _index 1 _gradType 0 eq{ add pt }{ sub pt }ifelse }def }def /initializeComposite{ /bwImage{ pop /_image load 5 execImage }def /rampImage{ _enabledSmoothShade{ fillRamp }{ _color{ _nSamples setImageParms _rgbRamp _forceToCMYK not and{ _redData _greenData _blueData _nSamples 3 expandColor true 3 null ncolorimage }{ _cyanData _magentaData _yellowData _blackData _nSamples 4 expandColor true 4 null ncolorimage }ifelse }{ _nSamples setImageParms _blackData null bwImage }ifelse }ifelse }def /setCStop{ /_colorStyle exch pt _colorStyle 0 eq{ 1 exch sub 0 0 0 4 -1 roll }if _colorStyle 2 eq{ _forceToCMYK{ 3 npop setcmykcolor }{ setrgbcolor 4 npop }ifelse }if _colorStyle 3 eq{ 1 exch sub /_tmp xp pop 4{ _tmp mul 4 1 roll }repeat }if _colorStyle 4 eq{ _forceToCMYK{ 6 npop setcmykcolor }{ 3 -1 roll pop pop 1 exch sub /_tmp xp 3{ 1 exch sub _tmp mul 1 exch sub 3 1 roll }repeat setrgbcolor 4 npop }ifelse }if _colorStyle 2 ne _colorStyle 4 ne and{ null nsetcustomcolor }if }def /nsetcustomcolor { pop setcmykcolor }def /nsetcustomcolorend { }def /ncolorimage{ pop /_colorimage load 10 execImage }def _noImage not _level2PS not and{ /linealFill{ 8 setImageParms _color{ currentcmykcolor 4{ makeByte8 4 1 roll }repeat true 4 null ncolorimage }{ currentgray makeByte8 null bwImage }ifelse }def }if /getRampColorSpace{ _nSamples 1 gt{ /_ndx 0 pt [blendColor] cvx exec }if /_C0 [currentcolor] pt /_C0_Space currentcolorspace pt _nSamples 1 gt{ /_ndx _nSamples 1 sub pt [blendColor] cvx exec }if /_C1 [currentcolor] pt /_C1_Space currentcolorspace pt /_rampColorSpace _C0_Space pt _spotColor{ nsetcustomcolorend }if }def }def /npop{ {pop}repeat }def /xd{ exch def }def /nd{ null def }def /pt{ AGM_Gradient_private 3 1 roll put }def /xp{ exch pt }def /xput{ dup load dup length exch maxlength eq{ dup dup load dup length 2 mul dict copy def }if load begin def end }def /mySave{ save /_sSave xp }def /myRestore{ _sSave type /savetype eq{ _sSave restore }if }def /gMark{ counttomark 2 add -1 roll }def /execImage{ /_tmp xp { exec }stopped{ $error /errorname get /undefinedresult ne{ stop }{ _tmp npop }ifelse }if }def /pushBSpace{ newpath gsave _bUMatrix astore concat }def /popBSpace{ grestore }def /makeByte8{ /_tmp 0 pt 255 mul cvi 8 string 8{ dup _tmp 3 index put /_tmp _tmp 1 add pt }repeat exch pop }def /setImageParms{ 1 8 2 index 0 0 1 0 0 _imageMatrix astore }def /linealFill{ 0 0 1 1 rectfill }def /testCMYKColorThrough{ gsave setcmykcolor currentcmykcolor grestore add add add 0 ne }def /expandOne { /_tmp xp dup type /stringtype ne{ _tmp string exch dup 0 ne{ 255 mul cvi 0 1 _tmp 1 sub{ 3 copy exch put pop }for }if pop }if }def /expandColor{ /_channels xp /_len xp _channels{ _len expandOne _channels 1 roll }repeat }def /blendColor{ _color{ _rgbRamp _producingSeps not and _forceToCMYK not and{ _redData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _greenData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _blueData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if /setrgbcolor cvx }{ _cyanData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _magentaData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _yellowData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _blackData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _spotColor{ _rampSD begin /_rampSD cvx /begin cvx spot1 begin tintImage dup type /stringtype eq{ /_ndx cvx /get cvx _d255- /exch cvx /get cvx }{ dup null ne{ name type /nametype ne{ 1 exch sub }if }if }ifelse end /spot1 cvx /tintValue 3 -1 /roll cvx /put cvx spot2 begin tintImage dup type /stringtype eq{ /_ndx cvx /get cvx _d255- /exch cvx /get cvx }{ dup null ne{ name type /nametype ne{ 1 exch sub }if }if }ifelse end /spot2 cvx /tintValue 3 -1 /roll cvx /put cvx /end cvx end /_rampSD cvx /nsetcustomcolor cvx }{ /setcmykcolor cvx }ifelse }ifelse }{ _blackData dup type /stringtype eq{ /_ndx cvx /get cvx _d255 /exch cvx /get cvx }if _enabledSmoothShade{ 1 /exch cvx /sub cvx 0 0 0 4 -1 /roll cvx /setcmykcolor cvx }{ /setgray cvx }ifelse }ifelse }def /useRectImage{ _subSampleOK _enabledSmoothShade not and{ { mark 0 1 dtransform atan cvi 90 mod 0 eq 1 0 dtransform atan cvi 90 mod 0 eq } stopped { cleartomark false } { and exch pop } ifelse }{ false }ifelse }def /linealImage{ _noImage{ rectImage }{ _producingSeps{ AGM_Gradient_Sep/AGM_Gradient_Sep_private get /rampImage get exec }{ useRectImage{ rectImage }{ rampImage }ifelse }ifelse }ifelse }def /linealRamp{ pushBSpace _ramp{ linealImage }{ linealFill }ifelse popBSpace /_rampIndex _rampIndex 1 sub pt _rampIndex 0 gt{ getRampData }if }def /radialGrad{ /_usingShells currentoverprint _producingSeps and _usingShells or pt /_firstShell true pt _enabledSmoothShade not{ currentoverprint _producingSeps and{ newpath clippath pathbbox 1 add 4 1 roll 1 add 4 1 roll 1 sub 4 1 roll 1 sub 4 1 roll _bbox astore pop newpath _bbox 0 get _bbox 1 get moveto _bbox 2 get _bbox 1 get lineto _bbox 2 get _bbox 3 get lineto _bbox 0 get _bbox 3 get lineto closepath 6 copy gsave _bUMatrix astore concat 1 0 moveto 0 0 1 0 360 arc closepath eoclip fill popBSpace }{ fill }ifelse }if pushBSpace _radHilite{ _xHi _yHi _bUMatrix idtransform /_yHi xp /_xHi xp _rampPoint 1 lt{ 1 _rampPoint sub dup _xHi mul exch _yHi mul translate }if }if _rampIndex{ radialRamp /_rampIndex _rampIndex 1 sub pt _rampIndex 0 gt{ getRampData }if }repeat popBSpace }def /getNSamples{ 0 exch { dup type /stringtype eq{ length exch pop exit }if pop }forall dup 0 eq{ pop 1 }if }def /getRampData{ /_rampType gMark pt /_color _rampType 0 gt pt /_ccRGB _rampType 5 eq _rampType 6 eq or pt /_rgbRamp _rampType 4 eq _ccRGB or pt /_ccProcess _rampType 2 eq _rampType 3 eq or pt _producingSeps{ _rampSD initSpotDict /_spotColor _ccProcess _ccRGB or pt }{ /_spotColor false pt }ifelse /_ramp true pt 100 div /_rampPoint xp 100 div /_midPoint xp dup /_colorStyle xp _colorStyle 0 eq{ 2 }{ _colorStyle 1 eq{ 5 }{ _colorStyle 2 eq{ 8 }{ _colorStyle 3 eq{ _producingSeps{ _rampSD /spot1 get begin /name 3 index def /spot_K 4 index def /spot_Y 5 index def /spot_M 6 index def /spot_C 7 index def end }if 7 }{ _producingSeps{ _rampSD/spot1 get begin /name 4 index def /spot_K 8 index def /spot_Y 9 index def /spot_M 10 index def /spot_C 11 index def end }if 11 } ifelse }ifelse }ifelse }ifelse /_tmp xp _tmp index 100 div /_endPoint xp _gradType 1 eq{ _tmp 1 add index 100 div /_midPoint xp }if _producingSeps{ _tmp 2 add index /_nextColorStyle xp _nextColorStyle 3 eq{ /_tmp _tmp 4 add pt _tmp index dup _rampSD/spot1 get /name get ne{ _rampSD /spot2 get begin /name xd /spot_K _tmp 2 add index def /spot_Y _tmp 3 add index def /spot_M _tmp 4 add index def /spot_C _tmp 5 add index def end }{ pop }ifelse }if _nextColorStyle 4 eq{ /_tmp _tmp 5 add pt _tmp index dup _rampSD/spot1 get /name get ne{ _rampSD /spot2 get begin /name xd /spot_K _tmp 5 add index def /spot_Y _tmp 6 add index def /spot_M _tmp 7 add index def /spot_C _tmp 8 add index def end }{ pop }ifelse }if }if _rampType 3 eq _rampType 6 eq or{ /_tint2Data gMark pt }if _ccProcess _ccRGB or{ /_tint1Data gMark pt }if _rgbRamp{ /_blueData gMark pt /_greenData gMark pt /_redData gMark pt }if _producingSeps{ _ccProcess _ccRGB or{ _rampType 3 eq _rampType 6 eq or{ _rampSD /spot2 get begin /tintImage _gradType 0 eq{ _tint2Data }{ _tint1Data }ifelse def name null eq{ /name /Black def }if end }if _rampSD /spot1 get begin /tintImage _gradType 0 eq _rampType 2 eq or _rampType 5 eq or{ _tint1Data }{ _tint2Data }ifelse def _rampType 2 eq _rampType 5 eq or{ name null eq{ /name _rampSD/spot2 get /name get def /spot_C _rampSD/spot2 get /spot_C get def /spot_M _rampSD/spot2 get /spot_M get def /spot_Y _rampSD/spot2 get /spot_Y get def /spot_K _rampSD/spot2 get /spot_K get def _rampSD/spot2 get /name null put }if }{ name null eq{ /name /Black def }if }ifelse end }if }if /_blackData gMark pt _rampType 0 gt{ counttomark 4 add -3 roll /_yellowData xp /_magentaData xp /_cyanData xp }if _ramp{ /_nSamples [ _rampType 0 eq {_blackData}if _rampType 1 eq {_cyanData _magentaData _yellowData _blackData}if _rampType 2 eq {_cyanData _magentaData _yellowData _blackData _tint1Data}if _rampType 3 eq {_cyanData _magentaData _yellowData _blackData _tint1Data _tint2Data}if _rampType 4 eq {_cyanData _magentaData _yellowData _blackData _redData _greenData _blueData}if _rampType 5 eq {_cyanData _magentaData _yellowData _blackData _redData _greenData _blueData _tint1Data}if _rampType 6 eq {_cyanData _magentaData _yellowData _blackData _redData _greenData _blueData _tint1Data _tint2Data}if ] getNSamples pt _enabledSmoothShade not {/_ramp _nSamples 1 gt pt} if } if setCStop }def /rectImage{ gsave /_sInc 1 pt /_bInc 1 _nSamples div pt /_nSubSamples _nSamples pt /_optimize false pt _subSampleOK{ /_uRampLen 1 0 dtransform _dUserSpace idtransform dup mul exch dup mul add sqrt pt /_pChange _uRampLen 0 eq{0}{_nSamples _uRampLen div}ifelse pt _pChange .5 gt dup /_optimize xp{ /_nSubSamples _uRampLen 2 div round cvi dup 1 le{pop 2}if pt /_bInc 1 _nSubSamples div pt /_sInc _nSamples 1 sub _nSubSamples 1 sub div pt }if }if 0 _nSubSamples [ /dup cvx _optimize { /round cvx /cvi cvx } if /_ndx /exch cvx /pt cvx blendColor 0 0 _bInc 1 /rectfill cvx _bInc 0 /translate cvx _sInc /add cvx ] cvx bind repeat pop _spotColor{ nsetcustomcolorend }if grestore }def /radialInit{ /_nRadSamples _nSamples dup 0 eq{pop 1}if pt /_sInc -1 pt /_rampLen _rampPoint _endPoint sub pt /_bInc _rampLen _nSamples div neg pt /_optimize false pt _subSampleOK{ /_uRampLen _rampLen 0 dtransform _dUserSpace idtransform dup mul exch dup mul add sqrt 0 _rampLen dtransform _dUserSpace idtransform dup mul exch dup mul add sqrt 2 copy lt{ exch }if pop pt /_pChange _uRampLen 0 eq{ 0 }{ _nSamples _uRampLen div }ifelse pt _pChange .5 gt dup /_optimize xp{ /_nRadSamples _uRampLen 2 div round cvi dup 1 le{pop 2}if pt /_bInc _rampLen _nRadSamples div neg pt /_sInc _nSamples 1 sub _nRadSamples 1 sub div neg pt }if }if _radHilite{ /_xBCInc _xHi _rampLen mul _nRadSamples div pt /_yBCInc _yHi _rampLen mul _nRadSamples div pt }if }def /radialRamp{ _enabledSmoothShade{ fillRamp }{ /_saveMatrix _saveMatrix currentmatrix def radialInit % % true _producingSeps _rgbRamp not and{ _nSamples 1 gt{ pop /_ndx 0 pt [blendColor] cvx exec currentInkN /_ndx _nSamples 1 sub pt [blendColor] cvx exec currentInkN or }if }if { _rampPoint _nSamples 1 sub _nRadSamples [ /dup cvx _optimize{ /round cvx /cvi cvx }if /_ndx /exch cvx /pt cvx _usingShells{ /_firstShell cvx{ /_firstShell false pt }{ 0 0 3 index 360 0 arcn fill }/ifelse cvx }if blendColor _usingShells{ 0 0 3 /index cvx 0 360 /arc cvx }{ 0 0 3 /index cvx 0 360 /arc cvx /fill cvx }ifelse /exch cvx _bInc /add cvx /exch cvx _sInc /add cvx _radHilite{ _xBCInc _yBCInc /translate cvx }if ] cvx bind repeat pop pop }{ _usingShells{ 0 0 _rampPoint 360 0 arcn fill }if }ifelse _saveMatrix setmatrix _radHilite{ _xHi _rampLen mul _yHi _rampLen mul translate }if _usingShells _rampIndex 1 eq and{ fill }if _spotColor{ nsetcustomcolorend }if }ifelse }def end end defaultpacking setpacking %%EndResource %%BeginProcSet: Adobe_ColorImage_AI6 1.2 0 userdict /Adobe_ColorImage_AI6 known not { userdict /Adobe_ColorImage_AI6 50 dict put } if userdict /Adobe_ColorImage_AI6 get begin /initialize { Adobe_ColorImage_AI6 begin Adobe_ColorImage_AI6 { dup type /arraytype eq { dup xcheck { bind } if } if pop pop } forall } def /terminate { end } def currentdict /Adobe_ColorImage_AI6_Vars known not { /Adobe_ColorImage_AI6_Vars 40 dict def } if Adobe_ColorImage_AI6_Vars begin /plateindex -1 def /_newproc null def /_proc1 null def /_proc2 null def /channelcount 0 def /sourcecount 0 def /sourcearray 4 array def /_ptispace null def /_ptiname null def /_pti0 0 def /_pti1 0 def /_ptiproc null def /_ptiscale 0 def /_pticomps 0 def /_ptibuf 0 string def /_gtigray 0 def /_cticmyk null def /_rtirgb null def /XIEnable true def /XIType 0 def /XIEncoding 0 def /XICompression 0 def /XIChannelCount 0 def /XIBitsPerPixel 0 def /XIImageHeight 0 def /XIImageWidth 0 def /XIImageMatrix null def /XIRowBytes 0 def /XIFile null def /XIBuffer1 null def /XIBuffer2 null def /XIDataProc null def /XIVersion 6 def /XIColorSpace /DeviceGray def /XIColorValues 0 def end currentdict /_colorimage known not { /colorimage where { /colorimage get /_colorimage exch def }{ /_colorimage null def } ifelse } if /_image systemdict /image get def /_currenttransfer systemdict /currenttransfer get def /FourEqual { 4 index ne { pop pop pop false }{ 4 index ne { pop pop false }{ 4 index ne { pop false }{ 4 index eq } ifelse } ifelse } ifelse } def /TestPlateIndex { Adobe_ColorImage_AI6_Vars begin /plateindex -1 def /setcmykcolor where { pop gsave 1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub 0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub grestore 1 0 0 0 FourEqual { /plateindex 0 def }{ 0 1 0 0 FourEqual { /plateindex 1 def }{ 0 0 1 0 FourEqual { /plateindex 2 def }{ 0 0 0 1 FourEqual { /plateindex 3 def }{ 0 0 0 0 FourEqual { /plateindex 5 def } if } ifelse } ifelse } ifelse } ifelse pop pop pop pop } if plateindex end } def /concatprocs { /packedarray where { pop dup type /packedarraytype eq 2 index type /packedarraytype eq or }{ false } ifelse { /_proc2 exch cvlit def /_proc1 exch cvlit def _proc1 aload pop _proc2 aload pop _proc1 length _proc2 length add packedarray cvx }{ /_proc2 exch cvlit def /_proc1 exch cvlit def /_newproc _proc1 length _proc2 length add array def _newproc 0 _proc1 putinterval _newproc _proc1 length _proc2 putinterval _newproc cvx } ifelse } def /clrspaceissepn { type /arraytype eq } def /clrspacegetname { dup clrspaceissepn {dup length 2 sub get}{pop ()} ifelse } def /clrspacegetalt { aload pop pop pop colormake } def /clrspacegetcomps { dup /DeviceGray eq { pop 1 }{ dup /DeviceRGB eq { pop 3 }{ /DeviceCMYK eq { 4 }{ 1 } ifelse } ifelse } ifelse } def /clrspacemarksplate { dup /DeviceGray eq { pop plateindex 3 eq }{ dup /DeviceRGB eq { pop plateindex 5 ne }{ dup /DeviceCMYK eq { pop plateindex 5 ne }{ /findcmykcustomcolor where { pop dup length 2 sub get 0.1 0.1 0.1 0.1 5 -1 roll findcmykcustomcolor 1 setcustomcolor systemdict /currentgray get exec 1 ne }{ pop plateindex 5 ne } ifelse } ifelse } ifelse } ifelse } def /colormake { dup clrspacegetcomps exch 1 index 2 add 1 roll dup 1 eq {pop}{array astore} ifelse exch } def /colorexpand { dup clrspacegetname exch dup clrspaceissepn { clrspacegetalt exch 4 1 roll }{ 1 3 1 roll } ifelse } def /colortint { dup /DeviceGray eq { 3 1 roll 1 exch sub mul 1 exch sub exch }{ dup /DeviceRGB eq { 3 1 roll {1 exch sub 1 index mul 1 exch sub exch} forall pop 3 array astore exch }{ dup /DeviceCMYK eq { 3 1 roll {1 index mul exch} forall pop 4 array astore exch }{ 3 1 roll mul exch } ifelse } ifelse } ifelse } def /colortocmyk { dup /DeviceGray eq { pop 1 exch sub 0 0 0 4 -1 roll 4 array astore }{ dup /DeviceRGB eq { pop aload pop _rgbtocmyk 4 array astore }{ dup /DeviceCMYK eq { pop }{ clrspacegetalt colortint colortocmyk } ifelse } ifelse } ifelse } def /makeimagedict { 7 dict begin /ImageType 1 def /Decode exch def /DataSource exch def /ImageMatrix exch def /BitsPerComponent exch def /Height exch def /Width exch def currentdict end } def /stringinvert { 0 1 2 index length 1 sub { dup 2 index exch get 255 exch sub 2 index 3 1 roll put } for } def /stringknockout { 0 1 2 index length 1 sub { 255 2 index 3 1 roll put } for } def /stringapply { 0 1 4 index length 1 sub { dup 4 index exch get 3 index 3 1 roll 3 index exec } for pop exch pop } def /WalkRGBString { 0 3 index dup length 1 sub 0 3 3 -1 roll { 3 getinterval {} forall 5 index exec 3 index } for 5 {pop} repeat } def /WalkCMYKString { 0 3 index dup length 1 sub 0 4 3 -1 roll { 4 getinterval {} forall 6 index exec 3 index } for 5 { pop } repeat } def /StuffRGBIntoGrayString { .11 mul exch .59 mul add exch .3 mul add cvi 3 copy put pop 1 add } def /StuffCMYKIntoGrayString { exch .11 mul add exch .59 mul add exch .3 mul add dup 255 gt { pop 255 } if 255 exch sub cvi 3 copy put pop 1 add } def /RGBToGrayImageProc { Adobe_ColorImage_AI6_Vars begin sourcearray 0 get exec dup length 3 idiv string dup 3 1 roll /StuffRGBIntoGrayString load exch WalkRGBString end } def /CMYKToGrayImageProc { Adobe_ColorImage_AI6_Vars begin sourcearray 0 get exec dup length 4 idiv string dup 3 1 roll /StuffCMYKIntoGrayString load exch WalkCMYKString end } def /SeparateCMYKImageProc { Adobe_ColorImage_AI6_Vars begin sourcecount 0 ne { sourcearray plateindex get exec }{ sourcearray 0 get exec dup length 4 idiv string 0 2 index plateindex 4 2 index length 1 sub { get 255 exch sub 3 copy put pop 1 add 2 index } for pop pop exch pop } ifelse end } def /ColorImageCompositeEmulator { pop true eq { Adobe_ColorImage_AI6_Vars /sourcecount get 5 add { pop } repeat }{ Adobe_ColorImage_AI6_Vars /channelcount get 1 ne { Adobe_ColorImage_AI6_Vars begin sourcearray 0 3 -1 roll put channelcount 3 eq {/RGBToGrayImageProc}{/CMYKToGrayImageProc} ifelse load end } if image } ifelse } def /colorimage { Adobe_ColorImage_AI6_Vars begin /channelcount 1 index def /sourcecount 2 index 1 eq { channelcount 1 sub } { 0 } ifelse def 4 sourcecount add index end dup 8 eq exch 1 eq or not { /_colorimage load null ne { _colorimage }{ Adobe_ColorImage_AI6_Vars /sourcecount get 7 add { pop } repeat } ifelse }{ dup 3 eq TestPlateIndex dup -1 eq exch 5 eq or or { /_colorimage load null eq { ColorImageCompositeEmulator }{ dup 1 eq { pop pop image }{ Adobe_ColorImage_AI6_Vars /plateindex get 5 eq { gsave 0 _currenttransfer exec 1 _currenttransfer exec eq { 0 _currenttransfer exec 0.5 lt } { 0 _currenttransfer exec 1 _currenttransfer exec gt } ifelse { { pop 0 } } { { pop 1 } } ifelse systemdict /settransfer get exec } if _colorimage Adobe_ColorImage_AI6_Vars /plateindex get 5 eq { grestore } if } ifelse } ifelse }{ dup 1 eq { pop pop image }{ pop pop Adobe_ColorImage_AI6_Vars begin sourcecount -1 0 { exch sourcearray 3 1 roll put } for /SeparateCMYKImageProc load end systemdict /image get exec } ifelse } ifelse } ifelse } def /proctintimage { /_ptispace exch store /_ptiname exch store /_pti1 exch store /_pti0 exch store /_ptiproc exch store /_pticomps _ptispace clrspacegetcomps store /_ptiscale _pti1 _pti0 sub store level2? { _ptiname length 0 gt version cvr 2012 ge and { [/Separation _ptiname _ptispace {_ptiproc}] setcolorspace [_pti0 _pti1] makeimagedict _image }{ [/Indexed _ptispace 255 {255 div _ptiscale mul _pti0 add _ptiproc}] setcolorspace [0 255] makeimagedict _image } ifelse }{ _pticomps 1 eq { { dup { 255 div _ptiscale mul _pti0 add _ptiproc 255 mul cvi put } stringapply } concatprocs _image }{ { dup length _pticomps mul dup _ptibuf length ne {/_ptibuf exch string store}{pop} ifelse _ptibuf { exch _pticomps mul exch 255 div _ptiscale mul _pti0 add _ptiproc _pticomps 2 add -2 roll _pticomps 1 sub -1 0 { 1 index add 2 index exch 5 -1 roll 255 mul cvi put } for pop pop } stringapply } concatprocs false _pticomps /_colorimage load null eq {7 {pop} repeat}{_colorimage} ifelse } ifelse } ifelse } def /graytintimage { /_gtigray 5 -1 roll store {1 _gtigray sub mul 1 exch sub} 4 1 roll /DeviceGray proctintimage } def /cmyktintimage { /_cticmyk 5 -1 roll store {_cticmyk {1 index mul exch} forall pop} 4 1 roll /DeviceCMYK proctintimage } def /rgbtintimage { /_rtirgb 5 -1 roll store {_rtirgb {1 exch sub 1 index mul 1 exch sub exch} forall pop} 4 1 roll /DeviceRGB proctintimage } def /tintimage { TestPlateIndex -1 eq { colorexpand 3 -1 roll 5 -1 roll {0}{0 exch} ifelse 4 2 roll dup /DeviceGray eq { pop graytintimage }{ dup /DeviceRGB eq { pop rgbtintimage }{ pop cmyktintimage } ifelse } ifelse }{ dup clrspacemarksplate { plateindex 5 lt { colortocmyk plateindex get 1 exch sub exch {1 0}{0 1} ifelse () graytintimage }{ pop exch {0}{0 exch} ifelse 0 3 1 roll () graytintimage } ifelse }{ pop pop pop {pop 1} 0 1 () /DeviceGray proctintimage } ifelse } ifelse } def /XINullImage { } def /XIImageMask { XIImageWidth XIImageHeight false [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load imagemask } def /XIImageTint { 0 setgray XIImageWidth XIImageHeight XIBitsPerPixel [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load XIType 3 eq XIColorValues XIColorSpace tintimage } def /XIImage { 0 setgray XIImageWidth XIImageHeight XIBitsPerPixel [XIImageWidth 0 0 XIImageHeight neg 0 0] /XIDataProc load XIChannelCount 1 eq {image}{false XIChannelCount colorimage} ifelse } def /XG { pop pop } def /XF { 13 {pop} repeat } def /Xh { Adobe_ColorImage_AI6_Vars begin gsave /XIType exch def /XIImageHeight exch def /XIImageWidth exch def /XIImageMatrix exch def 0 0 moveto XIImageMatrix concat XIImageWidth XIImageHeight scale XIType 1 eq { /_lp /null ddef _fc /_lp /imagemask ddef } if /XIVersion 7 def end } def /XH { Adobe_ColorImage_AI6_Vars begin /XIVersion 6 def grestore end } def /XIEnable { Adobe_ColorImage_AI6_Vars /XIEnable 3 -1 roll put } def /XC { Adobe_ColorImage_AI6_Vars begin colormake /XIColorSpace exch def /XIColorValues exch def end } def /XI { Adobe_ColorImage_AI6_Vars begin gsave /XIType exch def cvi dup 256 idiv /XICompression exch store 256 mod /XIEncoding exch store pop pop /XIChannelCount exch def /XIBitsPerPixel exch def /XIImageHeight exch def /XIImageWidth exch def pop pop pop pop /XIImageMatrix exch def XIBitsPerPixel 1 eq { XIImageWidth 8 div ceiling cvi }{ XIImageWidth XIChannelCount mul } ifelse /XIRowBytes exch def XIEncoding 0 ne XIVersion 6 le and { currentfile 128 string readline pop pop } if XICompression 0 eq { /XIBuffer1 XIRowBytes string def XIEncoding 0 eq { {currentfile XIBuffer1 readhexstring pop} }{ {currentfile XIBuffer1 readstring pop} } ifelse }{ /XIBuffer1 256 string def /XIBuffer2 XIRowBytes string def {currentfile XIBuffer1 readline pop (%) anchorsearch {pop} if} /ASCIIHexDecode filter /DCTDecode filter /XIFile exch def {XIFile XIBuffer2 readstring pop} } ifelse /XIDataProc exch def XIVersion 6 le { 0 0 moveto XIImageMatrix concat XIImageWidth XIImageHeight scale XIType 1 eq { /_lp /null ddef _fc /_lp /imagemask ddef } if } if XIEnable { XIType 1 eq { XIImageMask }{ XIType 2 eq XIType 3 eq or { XIImageTint }{ XIImage } ifelse } ifelse }{ XINullImage } ifelse grestore end } def end %%EndProcSet %%BeginResource: procset Adobe_Illustrator_AI5 1.2 0 %%Title: (Adobe Illustrator (R) Version 7.0 Full Prolog) %%Version: 1.2 0 %%CreationDate: (3/7/1994) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_Illustrator_AI5_vars 107 dict dup begin put /_eo false def /_lp /none def /_pf { } def /_ps { } def /_psf { } def /_pss { } def /_pjsf { } def /_pjss { } def /_pola 0 def /_doClip 0 def /cf currentflat def /_lineorientation 0 def /_charorientation 0 def /_yokoorientation 0 def /_tm matrix def /_renderStart [ /e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0 ] def /_renderEnd [ null null null null /i1 /i1 /i1 /i1 ] def /_render -1 def /_shift [0 0] def /_ax 0 def /_ay 0 def /_cx 0 def /_cy 0 def /_leading [ 0 0 ] def /_ctm matrix def /_mtx matrix def /_sp 16#020 def /_hyphen (-) def /_fontSize 0 def /_fontAscent 0 def /_fontDescent 0 def /_fontHeight 0 def /_fontRotateAdjust 0 def /Ss 256 string def Ss 0 (fonts/) putinterval /_cnt 0 def /_scale [1 1] def /_nativeEncoding 0 def /_useNativeEncoding 0 def /_tempEncode 0 def /_pntr 0 def /_tDict 2 dict def /_hfname 100 string def /_hffound false def /Tx { } def /Tj { } def /CRender { } def /_AI3_savepage { } def /_gf null def /_cf 4 array def /_rgbf 3 array def /_if null def /_of false def /_fc { } def /_gs null def /_cs 4 array def /_rgbs 3 array def /_is null def /_os false def /_sc { } def /_pd 1 dict def /_ed 15 dict def /_pm matrix def /_fm null def /_fd null def /_fdd null def /_sm null def /_sd null def /_sdd null def /_i null def /_lobyte 0 def /_hibyte 0 def /_cproc null def /_cscript 0 def /_hvax 0 def /_hvay 0 def /_hvwb 0 def /_hvcx 0 def /_hvcy 0 def /_bitfont null def /_bitlobyte 0 def /_bithibyte 0 def /_bitkey null def /_bitdata null def /_bitindex 0 def /discardSave null def /buffer 256 string def /beginString null def /endString null def /endStringLength null def /layerCnt 1 def /layerCount 1 def /perCent (%) 0 get def /perCentSeen? false def /newBuff null def /newBuffButFirst null def /newBuffLast null def /clipForward? false def end userdict /Adobe_Illustrator_AI5 known not { userdict /Adobe_Illustrator_AI5 95 dict put } if userdict /Adobe_Illustrator_AI5 get begin /initialize { Adobe_Illustrator_AI5 dup begin Adobe_Illustrator_AI5_vars begin discardDict { bind pop pop } forall dup /nc get begin { dup xcheck 1 index type /operatortype ne and { bind } if pop pop } forall end newpath } def /terminate { end end } def /_ null def /ddef { Adobe_Illustrator_AI5_vars 3 1 roll put } def /xput { dup load dup length exch maxlength eq { dup dup load dup length 2 mul dict copy def } if load begin def end } def /npop { { pop } repeat } def /hswj { dup stringwidth 3 2 roll { _hvwb eq { exch _hvcx add exch _hvcy add } if exch _hvax add exch _hvay add } cforall } def /vswj { 0 0 3 -1 roll { dup 255 le _charorientation 1 eq and { dup cstring stringwidth 5 2 roll _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub 4 -1 roll sub exch 3 -1 roll sub exch } { _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub _fontHeight sub } ifelse } cforall } def /swj { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hswj } { vswj } ifelse } def /sw { 0 0 0 6 3 roll swj } def /vjss { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 5 index setmatrix stroke grestore _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 6 index setmatrix stroke grestore moveto pop pop } ifelse } cforall 6 npop } def /hjss { 4 1 roll { dup cstring gsave false charpath currentpoint 5 index setmatrix stroke grestore moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jss { _lineorientation 0 eq { hjss } { vjss } ifelse } def /ss { 0 0 0 7 3 roll jss } def /vjsp { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto false charpath currentpoint _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto 2 index false charpath moveto pop pop } ifelse } cforall 6 npop } def /hjsp { 4 1 roll { dup cstring false charpath _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jsp { matrix currentmatrix _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /sp { matrix currentmatrix 0 0 0 7 3 roll _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /pl { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } def /setstrokeadjust where { pop true setstrokeadjust /c { curveto } def /C /c load def /v { currentpoint 6 2 roll curveto } def /V /v load def /y { 2 copy curveto } def /Y /y load def /l { lineto } def /L /l load def /m { moveto } def } { /c { pl curveto } def /C /c load def /v { currentpoint 6 2 roll pl curveto } def /V /v load def /y { pl 2 copy curveto } def /Y /y load def /l { pl lineto } def /L /l load def /m { pl moveto } def } ifelse /d { setdash } def /cf { } def /i { dup 0 eq { pop cf } if setflat } def /j { setlinejoin } def /J { setlinecap } def /M { setmiterlimit } def /w { setlinewidth } def /XR { 0 ne /_eo exch ddef } def /H { } def /h { closepath } def /N { _pola 0 eq { _doClip 1 eq { _eo {eoclip} {clip} ifelse /_doClip 0 ddef } if newpath } { /CRender { N } ddef } ifelse } def /n { N } def /F { _pola 0 eq { _doClip 1 eq { gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc /_doClip 0 ddef } { _pf } ifelse } { /CRender { F } ddef } ifelse } def /f { closepath F } def /S { _pola 0 eq { _doClip 1 eq { gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc /_doClip 0 ddef } { _ps } ifelse } { /CRender { S } ddef } ifelse } def /s { closepath S } def /B { _pola 0 eq { _doClip 1 eq gsave F grestore { gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc /_doClip 0 ddef } { S } ifelse } { /CRender { B } ddef } ifelse } def /b { closepath B } def /W { /_doClip 1 ddef } def /* { count 0 ne { dup type /stringtype eq { pop } if } if newpath } def /u { } def /U { } def /q { _pola 0 eq { gsave } if } def /Q { _pola 0 eq { grestore } if } def /*u { _pola 1 add /_pola exch ddef } def /*U { _pola 1 sub /_pola exch ddef _pola 0 eq { CRender } if } def /D { pop } def /*w { } def /*W { } def /` { /_i save ddef clipForward? { nulldevice } if 6 1 roll 4 npop concat pop userdict begin /showpage { } def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash /setstrokeadjust where {pop false setstrokeadjust} if newpath 0 setgray false setoverprint } def /~ { end _i restore } def /O { 0 ne /_of exch ddef /_lp /none ddef } def /R { 0 ne /_os exch ddef /_lp /none ddef } def /g { /_gf exch ddef /_fc { _lp /fill ne { _of setoverprint _gf setgray /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /G { /_gs exch ddef /_sc { _lp /stroke ne { _os setoverprint _gs setgray /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /k { _cf astore pop /_fc { _lp /fill ne { _of setoverprint _cf aload pop setcmykcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /K { _cs astore pop /_sc { _lp /stroke ne { _os setoverprint _cs aload pop setcmykcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /Xa { _rgbf astore pop /_fc { _lp /fill ne { _of setoverprint _rgbf aload pop setrgbcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /XA { _rgbs astore pop /_sc { _lp /stroke ne { _os setoverprint _rgbs aload pop setrgbcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /_rgbtocmyk { 3 { 1 exch sub 3 1 roll } repeat 3 copy 1 4 1 roll 3 { 3 index 2 copy gt { exch } if pop 4 1 roll } repeat pop pop pop 4 1 roll 3 { 3 index sub 3 1 roll } repeat 4 -1 roll } def /Xx { exch /_gf exch ddef 0 eq { findcmykcustomcolor } { /findrgbcustomcolor where not { 4 1 roll _rgbtocmyk 5 -1 roll findcmykcustomcolor } { pop findrgbcustomcolor } ifelse } ifelse /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /XX { exch /_gs exch ddef 0 eq { findcmykcustomcolor } { /findrgbcustomcolor where not { 4 1 roll _rgbtocmyk 5 -1 roll findcmykcustomcolor } { pop findrgbcustomcolor } ifelse } ifelse /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /x { /_gf exch ddef findcmykcustomcolor /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc _eo {eofill} {fill} ifelse } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /X { /_gs exch ddef findcmykcustomcolor /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /A { pop } def /annotatepage { userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse } def /XT { pop pop } def /discard { save /discardSave exch store discardDict begin /endString exch store gt38? { 2 add } if load stopped pop end discardSave restore } bind def userdict /discardDict 7 dict dup begin put /pre38Initialize { /endStringLength endString length store /newBuff buffer 0 endStringLength getinterval store /newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store /newBuffLast newBuff endStringLength 1 sub 1 getinterval store } def /shiftBuffer { newBuff 0 newBuffButFirst putinterval newBuffLast 0 currentfile read not { stop } if put } def 0 { pre38Initialize mark currentfile newBuff readstring exch pop { { newBuff endString eq { cleartomark stop } if shiftBuffer } loop } { stop } ifelse } def 1 { pre38Initialize /beginString exch store mark currentfile newBuff readstring exch pop { { newBuff beginString eq { /layerCount dup load 1 add store } { newBuff endString eq { /layerCount dup load 1 sub store layerCount 0 eq { cleartomark stop } if } if } ifelse shiftBuffer } loop } if } def 2 { mark { currentfile buffer readline not { stop } if endString eq { cleartomark stop } if } loop } def 3 { /beginString exch store /layerCnt 1 store mark { currentfile buffer readline not { stop } if dup beginString eq { pop /layerCnt dup load 1 add store } { endString eq { layerCnt 1 eq { cleartomark stop } { /layerCnt dup load 1 sub store } ifelse } if } ifelse } loop } def end userdict /clipRenderOff 15 dict dup begin put { /n /N /s /S /f /F /b /B } { { _doClip 1 eq { /_doClip 0 ddef _eo {eoclip} {clip} ifelse } if newpath } def } forall /Tr /pop load def /Bb {} def /BB /pop load def /Bg {12 npop} def /Bm {6 npop} def /Bc /Bm load def /Bh {4 npop} def end /Lb { 4 npop 6 1 roll pop 4 1 roll pop pop pop 0 eq { 0 eq { (%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard } { /clipForward? true def /Tx /pop load def /Tj /pop load def currentdict end clipRenderOff begin begin } ifelse } { 0 eq { save /discardSave exch store } if } ifelse } bind def /LB { discardSave dup null ne { restore } { pop clipForward? { currentdict end end begin /clipForward? false ddef } if } ifelse } bind def /Pb { pop pop 0 (%AI5_EndPalette) discard } bind def /Np { 0 (%AI5_End_NonPrinting--) discard } bind def /Ln /pop load def /Ap /pop load def /Ar { 72 exch div 0 dtransform dup mul exch dup mul add sqrt dup 1 lt { pop 1 } if setflat } def /Mb { q } def /Md { } def /MB { Q } def /nc 4 dict def nc begin /setgray { pop } bind def /setcmykcolor { 4 npop } bind def /setrgbcolor { 3 npop } bind def /setcustomcolor { 2 npop } bind def currentdict readonly pop end end setpacking %%EndResource %%BeginResource: procset Adobe_pattern_AI5 1.1 0 %%Title: (Adobe Illustrator (R) Version 5.0 Pattern Operators) %%Version: 1.1 0 %%CreationDate: (03/26/93) () %%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_Illustrator_AI5 known not { userdict /Adobe_Illustrator_AI5 95 dict put } if userdict /Adobe_Illustrator_AI5 get begin /@ { } def /& { } def /dp { dup null eq { pop _dp 0 ne { 0 1 _dp 1 sub _dl mod { _da exch get 3 get } for _dp 1 sub _dl mod 1 add packedarray _da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll definepattern pop } if } { _dp 0 ne _dp _dl mod 0 eq and { null dp } if 7 packedarray _da exch _dp _dl mod exch put _dp _dl mod _da 0 get 4 get 2 packedarray /_dp _dp 1 add def } ifelse } def /E { _ed begin dup 0 get type /arraytype ne { 0 { dup 1 add index type /arraytype eq { 1 add } { exit } ifelse } loop array astore } if /_dd exch def /_ury exch def /_urx exch def /_lly exch def /_llx exch def /_n exch def /_y 0 def /_dl 4 def /_dp 0 def /_da _dl array def 0 1 _dd length 1 sub { /_d exch _dd exch get def 0 2 _d length 2 sub { /_x exch def /_c false def /_r _d _x 1 add get cvlit def _r _ ne { _urx _llx sub _ury _lly sub [ 1 0 0 1 0 0 ] [ /save cvx _llx neg _lly neg /translate cvx _c { nc /begin cvx } if _r dup type /stringtype eq { cvx } { { exec } /forall cvx } ifelse _c { /end cvx } if /restore cvx ] cvx /_fn 12 _n length add string def _y _fn cvs pop /_y _y 1 add def _fn 12 _n putinterval _fn _c false dp _d exch _x 1 add exch put } if } for } for null dp _n _dd /_pd end xput } def /fc { _fm dup concatmatrix pop } def /p { /_fm exch ddef 9 -2 roll _pm translate fc 7 -2 roll _pm scale fc 5 -1 roll _pm rotate fc 4 -2 roll exch 0 ne { dup _pm rotate fc 1 -1 _pm scale fc neg _pm rotate fc } { pop } ifelse dup _pm rotate fc exch dup sin exch cos div 1 0 0 1 0 6 2 roll _pm astore fc neg _pm rotate fc _pd exch get /_fdd exch ddef /_pf { save /_doClip 0 ddef 0 1 _fdd length 1 sub { /_fd exch _fdd exch get ddef _fd 0 2 _fd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _fc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _fm patternfill } { pop fill } ifelse grestore pop } for pop } for restore newpath } ddef /_psf { save /_doClip 0 ddef 0 1 _fdd length 1 sub { /_fd exch _fdd exch get ddef _fd 0 2 _fd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _fc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _fm 9 copy 6 npop patternashow } { pop 6 copy 3 npop hvashow } ifelse grestore pop } for pop } for restore sw rmoveto } ddef /_pjsf { save /_doClip 0 ddef 0 1 _fdd length 1 sub { /_fd exch _fdd exch get ddef _fd 0 2 _fd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _fc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _fm 12 copy 6 npop patternawidthshow } { pop 9 copy 3 npop hvawidthshow } ifelse grestore pop } for pop } for restore swj rmoveto } ddef /_lp /none ddef } def /sc { _sm dup concatmatrix pop } def /P { /_sm exch ddef 9 -2 roll _pm translate sc 7 -2 roll _pm scale sc 5 -1 roll _pm rotate sc 4 -2 roll exch 0 ne { dup _pm rotate sc 1 -1 _pm scale sc neg _pm rotate sc } { pop } ifelse dup _pm rotate sc exch dup sin exch cos div 1 0 0 1 0 6 2 roll _pm astore sc neg _pm rotate sc _pd exch get /_sdd exch ddef /_ps { save /_doClip 0 ddef 0 1 _sdd length 1 sub { /_sd exch _sdd exch get ddef _sd 0 2 _sd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _sc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _sm patternstroke } { pop stroke } ifelse grestore pop } for pop } for restore newpath } ddef /_pss { save /_doClip 0 ddef 0 1 _sdd length 1 sub { /_sd exch _sdd exch get ddef _sd 0 2 _sd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _sc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _sm 10 copy 6 npop patternashowstroke } { pop 7 copy 3 npop ss } ifelse grestore pop } for pop } for restore pop sw rmoveto } ddef /_pjss { save /_doClip 0 ddef 0 1 _sdd length 1 sub { /_sd exch _sdd exch get ddef _sd 0 2 _sd length 2 sub { gsave 2 copy get dup _ ne { cvx exec _sc } { pop } ifelse 2 copy 1 add get dup _ ne { aload pop findfont _sm 13 copy 6 npop patternawidthshowstroke } { pop 10 copy 3 npop jss } ifelse grestore pop } for pop } for restore pop swj rmoveto } ddef /_lp /none ddef } def end userdict /Adobe_pattern_AI5 18 dict dup begin put /initialize { /definepattern where { pop pop pop } { begin begin Adobe_pattern_AI5 begin Adobe_pattern_AI5 { dup xcheck { bind } if pop pop } forall mark cachestatus 7 1 roll pop pop pop pop exch pop exch { { 10000 add dup 2 index gt { exit } if dup setcachelimit } loop } stopped cleartomark end end end Adobe_pattern_AI5 begin } ifelse } def /terminate { currentdict Adobe_pattern_AI5 eq { end } if } def errordict /nocurrentpoint { pop stop } put errordict /invalidaccess { pop stop } put /patternencoding 256 array def 0 1 255 { patternencoding exch ( ) 2 copy exch 0 exch put cvn put } for /definepattern { 17 dict begin /uniform exch def /cache exch def /key exch def /procarray exch def /mtx exch matrix invertmatrix def /height exch def /width exch def /ctm matrix currentmatrix def /ptm matrix def /str 32 string def /slice 9 dict def slice /s 1 put slice /q 256 procarray length div sqrt floor cvi put slice /b 0 put /FontBBox [ 0 0 0 0 ] def /FontMatrix mtx matrix copy def /Encoding patternencoding def /FontType 3 def /BuildChar { exch begin /setstrokeadjust where {pop true setstrokeadjust} if slice begin dup q dup mul mod s idiv /i exch def dup q dup mul mod s mod /j exch def q dup mul idiv procarray exch get /xl j width s div mul def /xg j 1 add width s div mul def /yl i height s div mul def /yg i 1 add height s div mul def uniform { 1 1 } { width 0 dtransform dup mul exch dup mul add sqrt dup 1 add exch div 0 height dtransform dup mul exch dup mul add sqrt dup 1 add exch div } ifelse width 0 cache { xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul setcachedevice } { setcharwidth } ifelse gsave scale newpath xl yl moveto xg yl lineto xg yg lineto xl yg lineto closepath clip newpath end end exec grestore } def key currentdict definefont end } def /patterncachesize { gsave newpath 0 0 moveto width 0 lineto width height lineto 0 height lineto closepath patternmatrix setmatrix pathbbox exch ceiling 4 -1 roll floor sub 3 1 roll ceiling exch floor sub mul 1 add grestore } def /patterncachelimit { cachestatus 7 1 roll 6 npop 8 mul } def /patternpath { exch dup begin setfont ctm setmatrix concat slice exch /b exch slice /q get dup mul mul put FontMatrix concat uniform { width 0 dtransform round width div exch round width div exch 0 height dtransform round height div exch height div exch 0 0 transform round exch round exch ptm astore setmatrix } { ptm currentmatrix pop } ifelse { currentpoint } stopped not { 2 npop pathbbox true 4 index 3 index eq 4 index 3 index eq and { pop false { { 2 npop } { 3 npop true } { 7 npop true } { pop true } pathforall } stopped { 5 npop true } if } if { height div ceiling height mul 4 1 roll width div ceiling width mul 4 1 roll height div floor height mul 4 1 roll width div floor width mul 4 1 roll 2 index sub height div ceiling cvi exch 3 index sub width div ceiling cvi exch 4 2 roll moveto FontMatrix mtx invertmatrix dup dup 4 get exch 5 get rmoveto ptm ptm concatmatrix pop slice /s patterncachesize patterncachelimit div ceiling sqrt ceiling cvi dup slice /q get gt { pop slice /q get } if put 0 1 slice /s get dup mul 1 sub { slice /b get add gsave 0 1 str length 1 sub { str exch 2 index put } for pop dup { gsave ptm setmatrix 1 index str length idiv { str show } repeat 1 index str length mod str exch 0 exch getinterval show grestore 0 height rmoveto } repeat grestore } for 2 npop } { 4 npop } ifelse } if end } def /patternclip { _eo {eoclip} {clip} ifelse } def /patternstrokepath { strokepath } def /patternmatrix matrix def /patternfill { dup type /dicttype eq { Adobe_pattern_AI5 /patternmatrix get } if gsave patternclip Adobe_pattern_AI5 /patternpath get exec grestore newpath } def /patternstroke { dup type /dicttype eq { Adobe_pattern_AI5 /patternmatrix get } if gsave patternstrokepath true { { { newpath moveto } { lineto } { curveto } { closepath 3 copy Adobe_pattern_AI5 /patternfill get exec } pathforall 3 npop } stopped { 5 npop patternclip Adobe_pattern_AI5 /patternfill get exec } if } { patternclip Adobe_pattern_AI5 /patternfill get exec } ifelse grestore newpath } def /vpatternawidthshow { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 5 index 5 index 5 index Adobe_pattern_AI5 /patternfill get exec grestore _fontRotateAdjust sub moveto _hvwb eq { _hvcx _hvcy rmoveto } if _hvax _hvay rmoveto 90 rotate } { currentpoint _fontHeight sub _hvax sub 3 index _hvwb eq { _hvcx sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 6 index 6 index 6 index Adobe_pattern_AI5 /patternfill get exec grestore newpath moveto pop pop } ifelse } cforall 3 npop } def /hpatternawidthshow { { dup cstring exch gsave 3 index eq { 5 index 5 index rmoveto } if false charpath currentpoint 9 index 9 index 9 index Adobe_pattern_AI5 /patternfill get exec grestore newpath moveto 2 copy rmoveto } cforall 8 npop } def /patternashow { 0 0 0 6 3 roll patternawidthshow } def /patternawidthshow { 6 index type /dicttype eq { Adobe_pattern_AI5 /patternmatrix get 7 1 roll } if _lineorientation 0 eq { hpatternawidthshow } { vpatternawidthshow } ifelse } def /vpatternawidthshowstroke { 7 1 roll 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 3 index setmatrix 6 index 6 index 6 index Adobe_pattern_AI5 /patternstroke get exec grestore _fontRotateAdjust sub moveto _hvwb eq { _hvcx _hvcy rmoveto } if _hvax _hvay rmoveto 90 rotate } { currentpoint _fontHeight sub _hvax sub 3 index _hvwb eq { _hvcx sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 4 index setmatrix 7 index 7 index 7 index Adobe_pattern_AI5 /patternstroke get exec grestore newpath moveto pop pop } ifelse } cforall 4 npop } def /hpatternawidthshowstroke { 7 1 roll { dup cstring exch gsave 3 index eq { 5 index 5 index rmoveto } if false charpath currentpoint 7 index setmatrix 10 index 10 index 10 index Adobe_pattern_AI5 /patternstroke get exec grestore newpath moveto 2 copy rmoveto } cforall 9 npop } def /patternashowstroke { 0 0 0 7 3 roll patternawidthshowstroke } def /patternawidthshowstroke { 7 index type /dicttype eq { patternmatrix /patternmatrix get 8 1 roll } if _lineorientation 0 eq { hpatternawidthshowstroke } { vpatternawidthshowstroke } ifelse } def end setpacking %%EndResource %%BeginResource: procset Adobe_cshow 2.0 8 %%Title: (Writing System Operators) %%Version: 2.0 8 %%CreationDate: (1/23/89) () %%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_cshow 14 dict dup begin put /initialize { Adobe_cshow begin Adobe_cshow { dup xcheck { bind } if pop pop } forall end Adobe_cshow begin } def /terminate { currentdict Adobe_cshow eq { end } if } def /cforall { /_lobyte 0 ddef /_hibyte 0 ddef /_cproc exch ddef /_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef { /_lobyte exch ddef _hibyte 0 eq _cscript 1 eq _lobyte 129 ge _lobyte 159 le and _lobyte 224 ge _lobyte 252 le and or and _cscript 2 eq _lobyte 161 ge _lobyte 254 le and and _cscript 3 eq _lobyte 161 ge _lobyte 254 le and and _cscript 25 eq _lobyte 161 ge _lobyte 254 le and and _cscript -1 eq or or or or and { /_hibyte _lobyte ddef } { _hibyte 256 mul _lobyte add _cproc /_hibyte 0 ddef } ifelse } forall } def /cstring { dup 256 lt { (s) dup 0 4 3 roll put } { dup 256 idiv exch 256 mod (hl) dup dup 0 6 5 roll put 1 4 3 roll put } ifelse } def /clength { 0 exch { 256 lt { 1 } { 2 } ifelse add } cforall } def /hawidthshow { { dup cstring show _hvax _hvay rmoveto _hvwb eq { _hvcx _hvcy rmoveto } if } cforall } def /vawidthshow { { dup 255 le _charorientation 1 eq and { -90 rotate 0 _fontRotateAdjust rmoveto cstring _hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow 0 _fontRotateAdjust neg rmoveto 90 rotate } { currentpoint _fontHeight sub exch _hvay sub exch _hvax sub 2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if 3 2 roll cstring dup stringwidth pop 2 div neg _fontAscent neg rmoveto show moveto } ifelse } cforall } def /hvawidthshow { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse } def /hvwidthshow { 0 0 3 -1 roll hvawidthshow } def /hvashow { 0 0 0 6 -3 roll hvawidthshow } def /hvshow { 0 0 0 0 0 6 -1 roll hvawidthshow } def currentdict readonly pop end setpacking %%EndResource %%EndProlog %%BeginSetup userdict /_useSmoothShade true put Adobe_level2_AI5 /initialize get exec Adobe_cshow /initialize get exec Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_typography_AI5 /initialize get exec Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 AGM_Gradient /initializeAI get exec Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_pattern_AI5 /initialize get exec Adobe_ColorImage_AI6 /initialize get exec Adobe_Illustrator_AI5 /initialize get exec %AI3_BeginRider currentpacking true setpacking /TimesNewRomanPSMT havefont not { %%BeginFont: TimesNewRomanPSMT /TimesNewRomanPSMT 15 dict dup begin /FontName /TimesNewRomanPSMT def /FontType 3 def /FontMatrix [ 0.000977 0 0 0.000977 0 0 ] def /FontAscent 1024 def /FontDescent -314 def /FontScript 0 def /FontBBox [ 0 -512 1024 1024 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /l /lineto load def /m /moveto load def /c /curveto load def /BuildChar { Adobe_Illustrator_AI5_vars exch /_bitlobyte exch put Adobe_Illustrator_AI5_vars exch /_bitfont exch put Adobe_Illustrator_AI5_vars /_bithibyte 0 put _bitlobyte 16 4 string cvrs dup length (K) dup length dup 4 -1 roll add string Adobe_Illustrator_AI5_vars exch /_bitkey exch put exch _bitkey copy pop _bitkey exch 3 -1 roll putinterval _bitfont /CharMetrics get _bitkey cvn get dup type /arraytype eq { aload pop setcachedevice } { 0 setcharwidth } ifelse _bitfont /CharStrings get _bitkey cvn get exec } bind def 14 dict dup begin /KA { } bind def /KD { } bind def /K20 { } bind def /K28 { { newpath 236 -127 m 215 -101 199 -74 186 -46 c 174 -19 163 18 155 64 c 144 123 138 187 138 259 c 138 324 145 387 158 448 c 171 508 190 558 217 597 c 243 636 277 667 318 690 c 318 711 l 236 674 170 613 119 528 c 68 443 42 349 42 246 c 42 175 55 107 81 41 c 107 -25 144 -82 192 -130 c 226 -164 268 -194 318 -219 c 318 -200 l 284 -177 257 -152 236 -127 c closepath } exec fill } bind def /K29 { { newpath 105 617 m 126 591 143 564 155 537 c 168 509 178 472 186 426 c 197 368 203 303 203 232 c 203 166 197 103 184 43 c 171 -18 151 -68 125 -107 c 98 -146 64 -177 23 -200 c 23 -219 l 105 -182 172 -121 223 -36 c 274 49 299 143 299 247 c 299 318 286 386 260 451 c 234 517 197 574 150 623 c 116 657 74 686 23 711 c 23 690 l 57 667 85 642 105 617 c closepath } exec fill } bind def /K33 { { newpath 68 541 m 103 596 146 624 198 624 c 230 624 256 613 278 592 c 299 571 310 543 310 509 c 310 483 304 459 292 437 c 280 415 261 396 234 380 c 208 365 182 355 156 352 c 156 337 l 172 337 l 198 337 223 332 248 321 c 273 310 293 298 307 285 c 317 275 327 261 336 242 c 347 217 353 191 353 165 c 353 129 340 98 315 72 c 290 45 260 32 226 32 c 212 32 199 34 187 37 c 179 39 165 46 145 56 c 125 66 112 72 107 74 c 98 77 89 78 81 78 c 70 78 61 74 53 67 c 45 60 41 51 41 42 c 41 29 49 16 66 5 c 82 -6 113 -12 159 -12 c 252 -12 322 16 371 72 c 408 115 427 166 427 225 c 427 266 416 301 395 332 c 373 362 342 385 300 402 c 362 454 393 505 393 555 c 393 585 382 613 360 639 c 331 674 289 692 235 692 c 191 692 155 680 125 655 c 96 630 71 595 52 549 c 68 541 l closepath } exec fill } bind def /K46 { { newpath 360 641 m 395 641 421 638 438 631 c 455 624 469 614 481 599 c 492 584 502 561 511 529 c 529 529 l 522 678 l 17 678 l 17 659 l 41 659 l 57 659 73 655 87 647 c 97 641 104 634 108 626 c 112 615 114 592 114 558 c 114 120 l 114 80 110 54 102 43 c 89 27 69 19 41 19 c 17 19 l 17 0 l 307 0 l 307 19 l 283 19 l 267 19 252 23 237 31 c 227 37 220 44 216 52 c 212 63 210 86 210 120 c 210 333 l 334 333 l 357 333 374 330 385 324 c 396 318 405 308 412 296 c 418 284 422 264 422 238 c 441 238 l 441 468 l 422 468 l 418 431 409 406 396 394 c 383 381 362 375 334 375 c 210 375 l 210 641 l 360 641 l closepath } exec fill } bind def /K48 { { newpath 211 558 m 211 591 213 613 217 624 c 221 634 228 642 238 648 c 253 655 268 659 284 659 c 308 659 l 308 678 l 18 678 l 18 659 l 42 659 l 58 659 73 655 88 647 c 98 641 105 634 109 626 c 113 615 115 592 115 558 c 115 120 l 115 80 111 54 103 43 c 90 27 70 19 42 19 c 18 19 l 18 0 l 308 0 l 308 19 l 284 19 l 268 19 253 23 238 31 c 228 37 221 44 217 52 c 213 63 211 86 211 120 c 211 327 l 526 327 l 526 120 l 526 80 522 54 514 43 c 501 27 481 19 453 19 c 429 19 l 429 0 l 719 0 l 719 19 l 695 19 l 679 19 664 23 649 31 c 639 37 632 44 629 52 c 624 63 622 86 622 120 c 622 558 l 622 591 624 613 628 624 c 632 634 639 642 650 648 c 664 655 679 659 695 659 c 719 659 l 719 678 l 429 678 l 429 659 l 453 659 l 469 659 484 655 499 647 c 509 641 516 634 520 626 c 524 615 526 592 526 558 c 526 364 l 211 364 l 211 558 l closepath } exec fill } bind def /K65 { { newpath 426 285 m 426 342 409 387 376 420 c 343 454 301 471 250 471 c 189 471 139 449 98 405 c 58 362 38 301 38 223 c 38 150 58 93 97 50 c 136 7 183 -14 238 -14 c 289 -14 331 5 365 42 c 399 80 419 122 426 168 c 410 178 l 395 137 376 109 354 93 c 332 76 306 68 276 68 c 231 68 192 87 159 126 c 125 164 109 217 109 285 c 426 285 l closepath 147 403 m 169 424 194 435 222 435 c 240 435 257 430 274 419 c 291 409 303 394 311 375 c 317 364 320 343 322 314 c 109 314 l 113 352 125 382 147 403 c closepath } exec fill } bind def /K67 { { newpath 89 100 m 80 85 75 71 75 60 c 75 49 79 40 86 32 c 93 24 105 14 123 4 c 91 -29 74 -47 72 -50 c 54 -72 42 -89 37 -101 c 33 -109 31 -117 31 -125 c 31 -143 43 -161 68 -177 c 113 -206 167 -221 231 -221 c 315 -221 382 -197 434 -148 c 469 -115 487 -80 487 -42 c 487 -15 478 8 459 27 c 441 45 416 57 385 61 c 365 64 321 67 252 69 c 215 70 192 71 182 73 c 166 75 156 79 150 84 c 145 90 142 95 142 101 c 142 107 145 115 150 124 c 155 134 165 145 179 157 c 203 150 226 147 249 147 c 304 147 347 162 380 193 c 413 223 429 259 429 302 c 429 339 420 370 401 394 c 461 394 l 475 394 484 395 486 396 c 489 397 490 398 491 400 c 493 403 494 409 494 418 c 494 425 493 431 491 434 c 490 436 488 437 486 438 c 484 439 475 439 461 439 c 364 439 l 332 460 294 471 251 471 c 197 471 153 455 119 422 c 85 389 68 350 68 305 c 68 276 75 249 90 224 c 105 200 127 181 155 167 c 121 138 99 116 89 100 c closepath 307 413 m 330 383 341 342 341 289 c 341 249 333 219 317 200 c 300 181 280 172 254 172 c 228 172 206 183 189 205 c 166 234 155 274 155 327 c 155 367 163 397 180 417 c 196 436 217 446 242 446 c 268 446 290 435 307 413 c 307 413 l closepath 322 -12 m 373 -13 407 -18 425 -25 c 442 -32 450 -44 450 -62 c 450 -85 436 -108 407 -129 c 379 -150 335 -160 276 -160 c 213 -160 165 -150 132 -129 c 113 -117 103 -103 103 -87 c 103 -75 107 -62 115 -47 c 123 -33 135 -17 150 0 c 190 -6 248 -10 322 -12 c 322 -12 l closepath } exec fill } bind def /K69 { { newpath 112 696 m 102 686 97 674 97 660 c 97 646 102 634 112 624 c 122 614 134 609 148 609 c 162 609 174 614 184 624 c 194 634 199 646 199 660 c 199 674 194 686 184 696 c 174 706 162 711 148 711 c 134 711 122 706 112 696 c closepath 168 471 m 30 415 l 37 397 l 50 402 62 405 71 405 c 80 405 87 402 92 398 c 97 394 100 387 103 376 c 106 361 107 329 107 279 c 107 104 l 107 76 105 56 100 46 c 96 36 90 29 82 25 c 74 20 59 18 37 18 c 37 0 l 260 0 l 260 18 l 238 18 223 20 215 25 c 207 30 200 37 196 46 c 192 56 190 75 190 104 c 190 471 l 168 471 l closepath } exec fill } bind def /K72 { { newpath 146 471 m 7 415 l 12 397 l 25 402 37 405 47 405 c 56 405 63 402 69 398 c 75 393 79 385 81 375 c 83 365 84 333 84 280 c 84 104 l 84 77 83 61 82 55 c 78 43 72 35 64 29 c 53 22 35 18 12 18 c 12 0 l 247 0 l 247 18 l 226 18 211 21 200 27 c 189 33 181 40 177 49 c 170 62 167 82 167 107 c 167 326 l 183 357 198 380 213 393 c 220 400 227 403 233 403 c 240 403 250 397 265 386 c 279 375 292 369 304 369 c 316 369 326 374 335 383 c 344 392 348 403 348 416 c 348 430 342 443 330 454 c 318 465 303 471 285 471 c 244 471 205 437 167 368 c 167 471 l 146 471 l closepath } exec fill } bind def /K75 { { newpath 277 458 m 277 440 l 307 439 327 434 337 425 c 346 416 351 398 351 371 c 351 112 l 326 87 305 70 286 61 c 268 52 252 47 238 47 c 217 47 199 54 184 67 c 169 80 162 108 162 151 c 162 458 l 1 458 l 1 440 l 25 440 42 438 51 434 c 60 429 67 423 72 414 c 77 406 79 391 79 369 c 79 165 l 79 122 83 89 90 66 c 97 42 110 23 129 8 c 148 -7 170 -14 196 -14 c 219 -14 241 -9 261 2 c 282 13 312 40 351 83 c 351 -14 l 374 -14 l 511 42 l 504 60 l 491 54 479 52 469 52 c 462 52 455 54 450 58 c 444 63 440 71 438 83 c 435 95 434 127 434 179 c 434 458 l 277 458 l closepath } exec fill } bind def /K95 { { newpath 93 427 m 68 403 56 373 56 339 c 56 304 68 274 93 250 c 117 225 147 213 182 213 c 216 213 246 225 270 250 c 295 274 307 304 307 339 c 307 373 295 403 270 427 c 246 452 216 464 182 464 c 147 464 117 452 93 427 c closepath } exec fill } bind def end /CharStrings exch def 14 dict dup begin /KA [797 0 143 0 654 640] def Encoding 10 /KA put /KD [797 0 143 0 654 640] def Encoding 13 /KD put /K20 [256 0 0 0 0 0] def Encoding 32 /K20 put /K28 [341 0 42 -218 318 712] def Encoding 40 /K28 put /K29 [341 0 23 -218 299 712] def Encoding 41 /K29 put /K33 [512 0 41 -11 427 692] def Encoding 51 /K33 put /K46 [570 0 16 0 527 679] def Encoding 70 /K46 put /K48 [740 0 17 0 719 679] def Encoding 72 /K48 put /K65 [455 0 38 -13 425 472] def Encoding 101 /K65 put /K67 [512 0 31 -221 493 472] def Encoding 103 /K67 put /K69 [285 0 31 0 260 712] def Encoding 105 /K69 put /K72 [341 0 7 0 347 472] def Encoding 114 /K72 put /K75 [512 0 1 -13 511 459] def Encoding 117 /K75 put /K95 [359 0 56 213 307 464] def Encoding 149 /K95 put end /CharMetrics exch def end definefont pop %%EndFont } if /TimesNewRomanPS-BoldMT havefont not { %%BeginFont: TimesNewRomanPS-BoldMT /TimesNewRomanPS-BoldMT 15 dict dup begin /FontName /TimesNewRomanPS-BoldMT def /FontType 3 def /FontMatrix [ 0.000977 0 0 0.000977 0 0 ] def /FontAscent 1024 def /FontDescent -314 def /FontScript 0 def /FontBBox [ 0 -512 1024 1024 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /l /lineto load def /m /moveto load def /c /curveto load def /BuildChar { Adobe_Illustrator_AI5_vars exch /_bitlobyte exch put Adobe_Illustrator_AI5_vars exch /_bitfont exch put Adobe_Illustrator_AI5_vars /_bithibyte 0 put _bitlobyte 16 4 string cvrs dup length (K) dup length dup 4 -1 roll add string Adobe_Illustrator_AI5_vars exch /_bitkey exch put exch _bitkey copy pop _bitkey exch 3 -1 roll putinterval _bitfont /CharMetrics get _bitkey cvn get dup type /arraytype eq { aload pop setcachedevice } { 0 setcharwidth } ifelse _bitfont /CharStrings get _bitkey cvn get exec } bind def 8 dict dup begin /KA { } bind def /KD { } bind def /K28 { { newpath 125 530 m 69 448 41 353 41 247 c 41 139 69 43 125 -40 c 181 -123 249 -178 329 -205 c 329 -180 l 298 -162 274 -142 257 -119 c 232 -85 212 -41 198 14 c 183 69 176 145 176 244 c 176 348 184 430 200 488 c 213 535 230 574 253 604 c 269 625 294 647 329 670 c 329 693 l 248 666 180 612 125 530 c closepath } exec fill } bind def /K29 { { newpath 216 -41 m 272 41 300 135 300 241 c 300 349 272 445 216 528 c 160 611 92 666 12 693 c 12 668 l 43 650 67 630 84 607 c 109 573 129 529 143 474 c 158 420 165 343 165 245 c 165 140 157 59 141 0 c 128 -47 111 -85 88 -115 c 72 -137 47 -159 12 -182 c 12 -205 l 92 -178 160 -123 216 -41 c closepath } exec fill } bind def /K6E { { newpath 35 468 m 35 450 l 56 447 70 442 76 433 c 83 424 86 402 86 366 c 86 102 l 86 66 83 44 77 37 c 69 26 55 20 35 18 c 35 0 l 273 0 l 273 18 l 255 20 243 26 236 36 c 229 45 226 67 226 102 c 226 352 l 251 393 277 414 306 414 c 314 414 322 411 329 406 c 336 400 342 393 345 383 c 348 373 349 348 349 310 c 349 102 l 349 69 346 48 341 40 c 333 28 320 20 302 18 c 302 0 l 540 0 l 540 18 l 519 20 505 26 499 35 c 492 44 489 66 489 102 c 489 284 l 489 338 486 375 481 394 c 474 419 461 440 441 457 c 421 474 396 482 366 482 c 340 482 317 476 295 464 c 273 452 250 433 226 407 c 226 468 l 35 468 l closepath } exec fill } bind def /K70 { { newpath 268 3 m 291 -8 315 -14 340 -14 c 376 -14 408 -4 436 17 c 465 37 487 67 502 106 c 517 146 525 189 525 236 c 525 280 518 321 503 360 c 488 398 467 428 439 449 c 411 471 380 482 345 482 c 317 482 290 474 266 459 c 249 448 232 431 216 407 c 216 468 l 19 468 l 19 450 l 41 449 56 443 64 434 c 72 425 76 403 76 370 c 76 -123 l 76 -155 73 -176 66 -183 c 56 -194 40 -200 19 -201 c 19 -219 l 287 -219 l 287 -201 l 264 -201 248 -199 240 -195 c 232 -191 226 -184 222 -176 c 218 -167 216 -150 216 -126 c 216 48 l 234 27 252 12 268 3 c 268 3 l closepath 216 348 m 238 397 265 421 299 421 c 320 421 337 411 350 391 c 369 362 378 307 378 226 c 378 147 369 94 352 66 c 340 47 326 37 308 37 c 275 37 245 57 216 98 c 216 348 l closepath } exec fill } bind def /K77 { { newpath 524 -14 m 656 358 l 670 400 682 425 691 434 c 700 443 712 448 728 450 c 728 468 l 590 468 l 590 450 l 608 449 620 445 627 439 c 633 433 636 423 636 410 c 636 402 632 385 623 361 c 563 193 l 497 375 l 487 401 483 417 483 424 c 483 432 485 438 490 442 c 495 446 507 449 526 450 c 526 468 l 287 468 l 287 450 l 302 447 314 443 321 436 c 329 429 338 413 348 388 c 352 376 l 286 193 l 218 375 l 207 404 202 421 202 427 c 202 433 205 438 211 443 c 217 448 228 450 244 450 c 244 468 l 7 468 l 7 450 l 24 445 37 438 45 427 c 58 411 74 377 93 325 c 218 -14 l 244 -14 l 369 330 l 497 -14 l 524 -14 l closepath } exec fill } bind def /K92 { { newpath 223 442 m 252 479 266 521 266 569 c 266 607 256 638 235 660 c 215 682 190 693 162 693 c 138 693 118 685 101 668 c 84 651 76 632 76 610 c 76 589 83 571 98 556 c 112 541 130 533 149 533 c 164 533 176 536 185 542 c 189 544 192 545 194 545 c 197 545 199 544 201 541 c 204 538 205 534 205 529 c 205 501 196 473 179 447 c 161 420 133 399 94 382 c 94 360 l 151 377 194 405 223 442 c closepath } exec fill } bind def end /CharStrings exch def 8 dict dup begin /KA [797 0 143 0 654 640] def Encoding 10 /KA put /KD [797 0 143 0 654 640] def Encoding 13 /KD put /K28 [341 0 41 -205 330 694] def Encoding 40 /K28 put /K29 [341 0 11 -205 300 694] def Encoding 41 /K29 put /K6E [570 0 36 0 540 481] def Encoding 110 /K6E put /K70 [570 0 18 -219 525 481] def Encoding 112 /K70 put /K77 [740 0 7 -13 729 468] def Encoding 119 /K77 put /K92 [341 0 76 361 265 694] def Encoding 146 /K92 put end /CharMetrics exch def end definefont pop %%EndFont } if /ArialMT havefont not { %%BeginFont: ArialMT /ArialMT 15 dict dup begin /FontName /ArialMT def /FontType 3 def /FontMatrix [ 0.000977 0 0 0.000977 0 0 ] def /FontAscent 1024 def /FontDescent -333 def /FontScript 0 def /FontBBox [ 0 -512 1024 1024 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /l /lineto load def /m /moveto load def /c /curveto load def /BuildChar { Adobe_Illustrator_AI5_vars exch /_bitlobyte exch put Adobe_Illustrator_AI5_vars exch /_bitfont exch put Adobe_Illustrator_AI5_vars /_bithibyte 0 put _bitlobyte 16 4 string cvrs dup length (K) dup length dup 4 -1 roll add string Adobe_Illustrator_AI5_vars exch /_bitkey exch put exch _bitkey copy pop _bitkey exch 3 -1 roll putinterval _bitfont /CharMetrics get _bitkey cvn get dup type /arraytype eq { aload pop setcachedevice } { 0 setcharwidth } ifelse _bitfont /CharStrings get _bitkey cvn get exec } bind def 3 dict dup begin /KA { } bind def /KD { } bind def /K20 { } bind def end /CharStrings exch def 3 dict dup begin /KA [768 0 128 0 640 640] def Encoding 10 /KA put /KD [768 0 128 0 640 640] def Encoding 13 /KD put /K20 [285 0 0 0 0 0] def Encoding 32 /K20 put end /CharMetrics exch def end definefont pop %%EndFont } if setpacking %AI3_EndRider [ 39/quotesingle 96/grave 130/quotesinglbase/florin/quotedblbase/ellipsis /dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE 145/quoteleft /quoteright/quotedblleft/quotedblright/bullet/endash/emdash/tilde/trademark /scaron/guilsinglright/oe/dotlessi 159/Ydieresis /space 164/currency 166/brokenbar 168/dieresis/copyright/ordfeminine 172/logicalnot/hyphen/registered/macron/ring /plusminus/twosuperior/threesuperior/acute/mu 183/periodcentered/cedilla /onesuperior/ordmasculine 188/onequarter/onehalf/threequarters 192/Agrave /Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla/Egrave/Eacute /Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis/Eth/Ntilde /Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply/Oslash/Ugrave /Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls/agrave/aacute /acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute/ecircumflex /edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute /ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex /udieresis/yacute/thorn/ydieresis TE %AI55J_Tsume: None %AI3_BeginEncoding: _ArialMT ArialMT [/_ArialMT/ArialMT 0 0 0 TZ %AI3_EndEncoding TrueType %AI55J_Tsume: None %AI3_BeginEncoding: _TimesNewRomanPSMT TimesNewRomanPSMT [/_TimesNewRomanPSMT/TimesNewRomanPSMT 0 0 0 TZ %AI3_EndEncoding TrueType %AI55J_Tsume: None %AI3_BeginEncoding: _TimesNewRomanPS-BoldMT TimesNewRomanPS-BoldMT [/_TimesNewRomanPS-BoldMT/TimesNewRomanPS-BoldMT 0 0 0 TZ %AI3_EndEncoding TrueType %AI5_Begin_NonPrinting Np 12 Bn %AI5_BeginGradient: (Black, White Radial) (Black, White Radial) 1 2 Bd [ 0 0 0 < 00000000000000000000000000000000000000000000000101010101010101010101010102020202 02020202020202030303030303040404040404040505050505050606060607070707080808090909 090A0A0A0A0B0B0B0C0C0D0D0D0E0E0F0F0F101011111112121313141515161617171819191A1A1B 1B1C1D1D1E1F202021222323242526272728292A2B2C2D2E2F303132333435363738393A3B3C3D3E 3F404142434445464748494A4C4D4E4F50525354565758595B5C5D5F606263656668696B6C6E7071 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12.5586 32.4409 4.5 22.5 4.5 c 12.5591 4.5 4.5 12.5586 4.5 22.5 c 4.5 32.4414 12.5591 40.5 22.5 40.5 c 32.4409 40.5 40.5 32.4414 40.5 22.5 c s 40.5 40.5 m 40.5 30.5586 32.4409 22.5 22.5 22.5 c 12.5591 22.5 4.5 30.5586 4.5 40.5 c 4.5 50.4414 12.5591 58.5 22.5 58.5 c 32.4409 58.5 40.5 50.4414 40.5 40.5 c s 58.5 58.5 m 58.5 48.5586 50.4409 40.5 40.5 40.5 c 30.5591 40.5 22.5 48.5586 22.5 58.5 c 22.5 68.4414 30.5591 76.5 40.5 76.5 c 50.4409 76.5 58.5 68.4414 58.5 58.5 c s 58.5 22.5 m 58.5 12.5586 50.4409 4.5 40.5 4.5 c 30.5591 4.5 22.5 12.5586 22.5 22.5 c 22.5 32.4414 30.5591 40.5 40.5 40.5 c 50.4409 40.5 58.5 32.4414 58.5 22.5 c s 58.5 40.5 m 58.5 30.5586 50.4409 22.5 40.5 22.5 c 30.5591 22.5 22.5 30.5586 22.5 40.5 c 22.5 50.4414 30.5591 58.5 40.5 58.5 c 50.4409 58.5 58.5 50.4414 58.5 40.5 c s 76.5 58.5 m 76.5 48.5586 68.4409 40.5 58.5 40.5 c 48.5591 40.5 40.5 48.5586 40.5 58.5 c 40.5 68.4414 48.5591 76.5 58.5 76.5 c 68.4409 76.5 76.5 68.4414 76.5 58.5 c s 76.5 22.5 m 76.5 12.5586 68.4409 4.5 58.5 4.5 c 48.5591 4.5 40.5 12.5586 40.5 22.5 c 40.5 32.4414 48.5591 40.5 58.5 40.5 c 68.4409 40.5 76.5 32.4414 76.5 22.5 c s 76.5 40.5 m 76.5 30.5586 68.4409 22.5 58.5 22.5 c 48.5591 22.5 40.5 30.5586 40.5 40.5 c 40.5 50.4414 48.5591 58.5 58.5 58.5 c 68.4409 58.5 76.5 50.4414 76.5 40.5 c s %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Camouflage) (Camouflage) 1 1 73 73 [ %AI3_Tile (0 O 0 R 0.3882 0.6039 0.1529 Xa 0.3882 0.6039 0.1529 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 1 73 m 1 1 L 73 1 L 73 73 L 1 73 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.4039 0.4 0.0824 Xa 0.4039 0.4 0.0824 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 18.5449 73 m 18.5449 1 L 46.7832 1 L 46.7832 73 L 18.5449 73 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.8 0.8 0.1176 Xa 0.8 0.8 0.1176 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 11.9512 1 m 11.9512 4.7129 9.2314 2.8813 9.2314 6.5938 c 9.2314 10.2334 4.25 10.2334 4.25 13.8735 c 4.25 17.4858 10.0313 17.4858 10.0313 21.0991 c 10.0313 24.832 10.208 24.832 10.208 28.5654 c 10.208 32.3071 5.5205 32.3071 5.5205 36.0469 c 5.5205 39.7021 11.8838 39.7021 11.8838 43.356 c 11.8838 47.0566 7.4609 47.0566 7.4609 50.7568 c 7.4609 54.4043 5.7959 54.4043 5.7959 58.0542 c 5.7959 61.7686 4.6631 61.7686 4.6631 65.4805 c 4.6631 69.1636 11.9512 69.3184 11.9512 73 C 27.9268 73 L 27.9268 69.3184 22.0635 69.1636 22.0635 65.4805 c 22.0635 61.7686 28.6631 61.7686 28.6631 58.0542 c 28.6631 54.4043 25.1553 54.4043 25.1553 50.7568 c 25.1553 47.0566 28.8145 47.0566 28.8145 43.356 c 28.8145 39.7021 22.1191 39.7021 22.1191 36.0469 c 22.1191 32.3071 26.3945 32.3071 26.3945 28.5654 c 26.3945 24.832 24.4248 24.832 24.4248 21.0991 c 24.4248 17.4858 20.3838 17.4858 20.3838 13.8735 c 20.3838 10.2334 24.6055 10.2334 24.6055 6.5938 c 24.6055 2.8813 27.9268 4.7129 27.9268 1 C 11.9512 1 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.0824 0.4157 0.1725 Xa 0.0824 0.4157 0.1725 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 41.875 1 m 41.875 4.7134 42.3867 2.8818 42.3867 6.5938 c 42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c 40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c 41.5742 24.832 43.6484 24.832 43.6484 28.5659 c 43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c 39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c 39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c 45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c 40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c 40.6289 69.1636 41.875 69.3184 41.875 73 C 59.0752 73 L 59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c 53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c 55.8945 55.502 61.0059 55.502 61.0059 51.7886 c 61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c 60.5635 40.897 59.9277 40.897 59.9277 37.2842 c 59.9277 33.5508 56.3662 33.5508 56.3662 29.8169 c 56.3662 26.0762 61.0908 26.0762 61.0908 22.3354 c 61.0908 18.6812 52.6025 18.6812 52.6025 15.0264 c 52.6025 11.3262 55.7461 11.3262 55.7461 7.6265 c 55.7461 3.978 59.0752 4.6484 59.0752 1 C 41.875 1 L f %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Honeycomb) (Honeycomb) 12.9819 14.6548 65.8066 60.6758 [ %AI3_Tile (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 52.3345 28.1372 m 40.6475 21.3906 L 40.6475 7.9009 L 52.3345 1.1543 L 64.0161 7.9009 L 64.0161 21.3906 L 52.3345 28.1372 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 43.9536 19.4839 m 43.9536 9.8081 L 52.3345 4.9702 L 60.7153 9.8081 L 60.7153 19.4839 L 52.3345 24.3218 L 43.9536 19.4839 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 25.7944 28.1406 m 14.1099 21.3911 L 14.1099 7.9014 L 25.7944 1.1548 L 37.479 7.9014 L 37.479 21.394 L 25.7944 28.1406 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 17.4126 19.4839 m 17.4126 9.8081 L 25.7944 4.9702 L 34.1743 9.8081 L 34.1743 19.4839 L 25.7944 24.3218 L 17.4126 19.4839 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 12.6846 50.7852 m 1 44.0356 L 1 30.5459 L 12.6846 23.7993 L 24.3691 30.5459 L 24.3691 44.0386 L 12.6846 50.7852 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 4.3027 42.1284 m 4.3027 32.4526 L 12.6846 27.6147 L 21.0645 32.4526 L 21.0645 42.1284 L 12.6846 46.9663 L 4.3027 42.1284 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 65.603 51.1226 m 53.9185 44.3765 L 53.9185 30.8843 L 65.603 24.1382 L 77.2871 30.8843 L 77.2871 44.3774 L 65.603 51.1226 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 57.2202 42.4692 m 57.2202 32.7915 L 65.603 27.9536 L 73.9819 32.7915 L 73.9819 42.4692 L 65.603 47.3081 L 57.2202 42.4692 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 39.0649 51.1235 m 27.3774 44.3765 L 27.3774 30.8843 L 39.0649 24.1382 L 50.7471 30.8843 L 50.7471 44.3774 L 39.0649 51.1235 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 30.6821 42.4692 m 30.6821 32.7915 L 39.0649 27.9517 L 47.4438 32.7915 L 47.4438 42.4702 L 39.0649 47.3091 L 30.6821 42.4692 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 25.7944 74.1074 m 14.1099 67.3599 L 14.1099 53.8682 L 25.7944 47.1221 L 37.479 53.8682 L 37.479 67.3599 L 25.7944 74.1074 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 17.4126 65.4526 m 17.4126 55.7749 L 25.7944 50.937 L 34.1743 55.7749 L 34.1772 65.4526 L 25.7944 70.2905 L 17.4126 65.4526 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.4157 0 0 Xa 0.4157 0 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 2 w 4 M []0 d 0 XR 52.3345 74.1074 m 40.6475 67.3599 L 40.6475 53.8682 L 52.3345 47.1221 L 64.0161 53.8682 L 64.0161 67.3599 L 52.3345 74.1074 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 0.3059 0 Xa 1 0.3059 0 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.5 w 4 M []0 d 0 XR 43.9536 65.4526 m 43.9536 55.7749 L 52.3345 50.937 L 60.7153 55.7749 L 60.7153 65.4526 L 52.3345 70.2905 L 43.9536 65.4526 L s %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Jungle Stripes) (Jungle Stripes) 37 19 73 55 [ %AI3_Tile (0 O 0 R 0 0.5333 0.2157 Xa 0 0.5333 0.2157 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 18 w 4 M []0 d 0 XR 37 37 m 73 37 l S %AI6_EndPatternLayer ) & (0 O 0 R 0.6549 0.851 0.3412 Xa 0.6549 0.851 0.3412 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 9 w 4 M []0 d 0 XR 37 37 m 73 37 l S %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Mediterranean Tiles) (Mediterranean Tiles) 4.9482 11.5332 39.291 45.8818 [ %AI3_Tile (0 O 0 R 1 1 1 Xa 1 1 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 0.1499 40.748 m 10.0083 40.749 L 16.9673 33.79 L 16.9702 23.9297 L 10.0093 16.9697 L 0.1509 16.9688 L 0.1499 40.748 L f %AI6_EndPatternLayer ) & (0 O 0 R 0 0 1 Xa 0 0 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 0.1499 40.748 m 10.0083 40.749 L 16.9673 33.79 L 16.9702 23.9297 L 10.0093 16.9697 L 0.1509 16.9688 L 0.1499 40.748 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 1 1 Xa 1 1 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 16.9712 0.1504 m 10.0122 7.1094 L 10.0093 16.9697 L 16.9702 23.9297 L 26.8296 23.9307 L 33.7915 16.9727 L 33.7915 7.1123 L 26.8335 0.1514 L 16.9712 0.1504 L f %AI6_EndPatternLayer ) & (0 O 0 R 0 0 1 Xa 0 0 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 16.9712 0.1504 m 10.0122 7.1094 L 10.0093 16.9697 L 16.9702 23.9297 L 26.8296 23.9307 L 33.7915 16.9727 L 33.7915 7.1123 L 26.8335 0.1514 L 16.9712 0.1504 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 1 1 Xa 1 1 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 16.9673 33.79 m 10.0083 40.749 L 10.0054 50.6084 L 16.9663 57.5693 L 26.8257 57.5703 L 33.7876 50.6113 L 33.7876 40.752 L 26.8296 33.791 L 16.9673 33.79 L f %AI6_EndPatternLayer ) & (0 O 0 R 0 0 1 Xa 0 0 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 16.9673 33.79 m 10.0083 40.749 L 10.0054 50.6084 L 16.9663 57.5693 L 26.8257 57.5703 L 33.7876 50.6113 L 33.7876 40.752 L 26.8296 33.791 L 16.9673 33.79 L s %AI6_EndPatternLayer ) & (0 O 0 R 1 1 1 Xa 1 1 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 33.7915 16.9727 m 26.8296 23.9307 L 26.8296 33.791 L 33.7876 40.752 L 43.6475 40.7529 L 50.6094 33.7939 L 50.6094 23.9336 L 43.6494 16.9736 L 33.7915 16.9727 L f %AI6_EndPatternLayer ) & (0 O 0 R 0 0 1 Xa 0 0 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 0.3 w 4 M []0 d 0 XR 33.7915 16.9727 m 26.8296 23.9307 L 26.8296 33.791 L 33.7876 40.752 L 43.6475 40.7529 L 50.6094 33.7939 L 50.6094 23.9336 L 43.6494 16.9736 L 33.7915 16.9727 L s %AI6_EndPatternLayer ) & (0 O 0 R 0.1216 0.1333 1 Xa 0.1216 0.1333 1 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 43.6514 7.1123 m 43.6514 16.9727 L 33.7915 16.9727 L 33.7915 7.1123 L 43.6514 7.1123 L f 26.8296 23.9307 m 26.8296 33.791 L 16.9702 33.791 L 16.9702 23.9307 L 26.8296 23.9307 L f 10.0093 7.1094 m 10.0093 16.9697 L 0.1538 16.9697 L 0.1538 7.1094 L 10.0093 7.1094 L f 43.6494 40.752 m 43.6494 50.6113 L 33.7876 50.6113 L 33.7876 40.752 L 43.6494 40.752 L f 10.0083 40.749 m 10.0083 50.6084 L 0.1499 50.6084 L 0.1499 40.749 L 10.0083 40.749 L f %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Pyramids) (Pyramids) 1 1 19.5 19.5 [ %AI3_Tile (0 O 0 R 0.8 0.8 0.8 Xa 0.8 0.8 0.8 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 1 19.5 m 10.25 10.25 l 19.5 19.5 l 1 19.5 l f %AI6_EndPatternLayer ) & (0 O 0 R 0.2 0.2 0.2 Xa 0.2 0.2 0.2 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 19.5 1 m 10.25 10.25 l 1 1 l 19.5 1 l f %AI6_EndPatternLayer ) & (0 O 0 R 0.6039 0.6 0.6 Xa 0.6039 0.6 0.6 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 1 1 m 10.25 10.25 l 1 19.5 l 1 1 l f %AI6_EndPatternLayer ) & (0 O 0 R 0.4 0.4 0.4 Xa 0.4 0.4 0.4 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 19.5 19.5 m 10.25 10.25 l 19.5 1 l 19.5 19.5 l f %AI6_EndPatternLayer ) & ] E %AI3_EndPattern %AI3_BeginPattern: (Unnamed Pattern 2) (Unnamed Pattern 2) 1 1 73 73 [ %AI3_Tile (0 O 0 R 0.3922 0.6039 0.1451 Xa 0.3922 0.6039 0.1451 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 1 73 m 1 1 L 73 1 L 73 73 L 1 73 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.4039 0.4 0.0745 Xa 0.4039 0.4 0.0745 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 18.5449 73 m 18.5449 1 L 46.7832 1 L 46.7832 73 L 18.5449 73 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.8 0.8 0.1059 Xa 0.8 0.8 0.1059 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 11.9512 1 m 11.9512 4.7129 9.2314 2.8813 9.2314 6.5938 c 9.2314 10.2334 4.25 10.2334 4.25 13.8735 c 4.25 17.4858 10.0313 17.4858 10.0313 21.0991 c 10.0313 24.832 10.208 24.832 10.208 28.5654 c 10.208 32.3071 5.5205 32.3071 5.5205 36.0469 c 5.5205 39.7021 11.8838 39.7021 11.8838 43.356 c 11.8838 47.0566 7.4609 47.0566 7.4609 50.7568 c 7.4609 54.4043 5.7959 54.4043 5.7959 58.0542 c 5.7959 61.7686 4.6631 61.7686 4.6631 65.4805 c 4.6631 69.1636 11.9512 69.3184 11.9512 73 C 27.9268 73 L 27.9268 69.3184 22.0635 69.1636 22.0635 65.4805 c 22.0635 61.7686 28.6631 61.7686 28.6631 58.0542 c 28.6631 54.4043 25.1553 54.4043 25.1553 50.7568 c 25.1553 47.0566 28.8145 47.0566 28.8145 43.356 c 28.8145 39.7021 22.1191 39.7021 22.1191 36.0469 c 22.1191 32.3071 26.3945 32.3071 26.3945 28.5654 c 26.3945 24.832 24.4248 24.832 24.4248 21.0991 c 24.4248 17.4858 20.3838 17.4858 20.3838 13.8735 c 20.3838 10.2334 24.6055 10.2334 24.6055 6.5938 c 24.6055 2.8813 27.9268 4.7129 27.9268 1 C 11.9512 1 L f %AI6_EndPatternLayer ) & (0 O 0 R 0.0784 0.4157 0.1647 Xa 0.0784 0.4157 0.1647 XA ) @ ( %AI6_BeginPatternLayer 0 J 0 j 1 w 4 M []0 d 0 XR 41.875 1 m 41.875 4.7134 42.3867 2.8818 42.3867 6.5938 c 42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c 40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c 41.5742 24.832 43.6484 24.832 43.6484 28.5659 c 43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c 39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c 39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c 45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c 40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c 40.6289 69.1636 41.875 69.3184 41.875 73 C 59.0752 73 L 59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c 53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c 55.8945 55.502 61.0059 55.502 61.0059 51.7886 c 61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c 60.5635 40.897 59.9277 40.897 59.9277 37.2842 c 59.9277 33.5508 56.3662 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436.6675 l 345.4297 436.6675 l f 344.2305 435.8267 m 344.4102 435.9468 l 344.4707 436.0669 l 344.4707 436.187 l 344.4102 436.3672 l 344.2305 436.4272 l 344.1113 436.5474 l 344.0508 436.5474 l 343.8711 436.4272 l 343.8115 436.3672 l 343.8115 436.187 l 343.8115 436.0669 l 343.8115 435.9468 l 343.8711 435.8267 l 344.0508 435.8267 l 344.1113 435.8267 l 344.2305 435.8267 l 344.2305 435.8267 l f 343.0322 434.9854 m 343.2119 435.1655 l 343.2725 435.2256 l 343.2725 435.3457 l 343.2119 435.4663 l 343.0322 435.5864 l 342.9121 435.7666 l 342.8525 435.7666 l 342.6729 435.5864 l 342.6133 435.4663 l 342.6133 435.3457 l 342.6133 435.2256 l 342.6133 435.1655 l 342.6729 434.9854 l 342.8525 434.9854 l 342.9121 434.9854 l 343.0322 434.9854 l 343.0322 434.9854 l f 341.834 434.1445 m 342.0137 434.2646 l 342.0732 434.3848 l 342.0732 434.5649 l 342.0137 434.625 l 341.834 434.7451 l 341.7139 434.8652 l 341.6543 434.8652 l 341.4746 434.7451 l 341.4141 434.625 l 341.4141 434.5649 l 341.4141 434.3848 l 341.4141 434.2646 l 341.4746 434.1445 l 341.6543 434.1445 l 341.7139 434.1445 l 341.834 434.1445 l 341.834 434.1445 l f 340.8154 433.4238 m 340.875 433.5439 l 340.875 433.6641 l 340.875 433.7842 l 340.875 433.9644 l 340.8154 434.0244 l 340.6357 434.0244 l 340.5156 434.0244 l 340.4561 434.0244 l 340.2764 433.9644 l 340.2158 433.7842 l 340.2158 433.6641 l 340.2764 433.5439 l 340.4561 433.4238 l 340.5156 433.3638 l 340.6357 433.3638 l 340.8154 433.4238 l 340.8154 433.4238 l f 339.6172 432.5825 m 339.6768 432.7627 l 339.6768 432.8232 l 339.6768 432.9434 l 339.6768 433.0635 l 339.6172 433.1836 l 339.4375 433.1836 l 339.3174 433.1836 l 339.2568 433.1836 l 339.0771 433.0635 l 339.0176 432.9434 l 339.0176 432.8232 l 339.0771 432.7627 l 339.2568 432.5825 l 339.3174 432.4624 l 339.4375 432.4624 l 339.6172 432.5825 l 339.6172 432.5825 l f 338.418 431.7417 m 338.4785 431.8618 l 338.6582 431.9819 l 338.6582 432.1621 l 338.4785 432.2222 l 338.418 432.3423 l 338.2383 432.3423 l 338.1191 432.3423 l 338.0586 432.3423 l 337.8789 432.2222 l 337.8789 432.1621 l 337.8789 431.9819 l 337.8789 431.8618 l 338.0586 431.7417 l 338.1191 431.6216 l 338.2383 431.6216 l 338.418 431.7417 l 338.418 431.7417 l f 337.2197 430.9609 m 337.2793 431.021 l 337.46 431.1411 l 337.46 431.2612 l 337.2793 431.3813 l 337.2197 431.5615 l 337.04 431.5615 l 336.9199 431.5615 l 336.8604 431.5615 l 336.6807 431.3813 l 336.6807 431.2612 l 336.6807 431.1411 l 336.6807 431.021 l 336.8604 430.9609 l 336.9199 430.7808 l 337.04 430.7808 l 337.2197 430.9609 l 337.2197 430.9609 l f 336.0215 430.0596 m 336.0811 430.1797 l 336.2607 430.3604 l 336.2607 430.4204 l 336.0811 430.5405 l 336.0215 430.6606 l 335.8418 430.6606 l 335.7217 430.6606 l 335.6621 430.6606 l 335.4824 430.5405 l 335.4824 430.4204 l 335.4824 430.3604 l 335.4824 430.1797 l 335.6621 430.0596 l 335.7217 429.9395 l 335.8418 429.9395 l 336.0215 430.0596 l 336.0215 430.0596 l f 334.8828 429.2188 m 335.0625 429.3389 l 335.0625 429.459 l 335.0625 429.5791 l 335.0625 429.7593 l 334.8828 429.8193 l 334.8232 429.9395 l 334.6436 429.9395 l 334.5234 429.8193 l 334.4639 429.7593 l 334.2832 429.5791 l 334.2832 429.459 l 334.4639 429.3389 l 334.5234 429.2188 l 334.6436 429.2188 l 334.8232 429.2188 l 334.8828 429.2188 l 334.8828 429.2188 l f 333.6846 428.3779 m 333.8643 428.5581 l 333.8643 428.6182 l 333.8643 428.7383 l 333.8643 428.8584 l 333.6846 428.9785 l 333.624 429.1587 l 333.4443 429.1587 l 333.3252 428.9785 l 333.2646 428.8584 l 333.085 428.7383 l 333.085 428.6182 l 333.2646 428.5581 l 333.3252 428.3779 l 333.4443 428.3779 l 333.624 428.3779 l 333.6846 428.3779 l 333.6846 428.3779 l f q 390.1914 370.6504 m 409.4873 370.6504 l 409.4873 338.3926 l 390.1914 338.3926 l 390.1914 370.6504 l 390.1914 370.6504 l h W n q 0 XR 390.1914 338.3926 m 390.1914 370.6504 l 409.4873 370.6504 l 409.4873 338.3926 l 390.1914 338.3926 l h W n 0 To 13.962 0 0 13.9963 392.4688 357.5547 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (H) Tx 0 1 Tk (\() Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 390.1914 338.3926 m 390.1914 370.6504 l 409.4873 370.6504 l 409.4873 338.3926 l 390.1914 338.3926 l h W n 0 To 11.9846 0 0 12.014 407.21 357.5547 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 404.9326 371.0107 m 417.2773 371.0107 l 417.2773 354.9121 l 404.9326 354.9121 l 404.9326 371.0107 l 404.9326 371.0107 l h W n q 0 XR 404.9326 354.9121 m 404.9326 371.0107 l 417.2773 371.0107 l 417.2773 354.9121 l 404.9326 354.9121 l h W n 0 To 13.962 0 0 13.9963 407.21 357.916 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (p) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 404.9326 354.9121 m 404.9326 371.0107 l 417.2773 371.0107 l 417.2773 354.9121 l 404.9326 354.9121 l h W n 0 To 11.9846 0 0 12.014 415 357.916 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 412.7227 370.6504 m 421.9512 370.6504 l 421.9512 354.5518 l 412.7227 354.5518 l 412.7227 370.6504 l 412.7227 370.6504 l h W n q 0 XR 412.7227 354.5518 m 412.7227 370.6504 l 421.9512 370.6504 l 421.9512 354.5518 l 412.7227 354.5518 l h W n 0 To 13.962 0 0 13.9963 415 357.7354 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\)) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 412.7227 354.5518 m 412.7227 370.6504 l 421.9512 370.6504 l 421.9512 354.5518 l 412.7227 354.5518 l h W n 0 To 11.9846 0 0 12.014 419.6738 357.7354 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A 0 O 0.502 0.502 0.502 Xa 0 J 0 j 1 w 4 M []0 d 1 XR 210.8423 399.7246 m 210.7822 399.604 l 210.8423 399.4238 l 211.022 399.3638 l 211.082 399.1836 l 211.2617 399.3638 l 211.4414 399.3638 l 211.4414 399.4238 l 211.4414 399.604 l 211.4414 399.7246 l 211.4414 399.7842 l 211.3818 399.9648 l 211.2617 399.9648 l 211.082 399.9648 l 211.022 399.9648 l 210.8423 399.7842 l 210.8423 399.7246 l 210.8423 399.7246 l f 211.6812 400.9258 m 211.6812 400.8057 l 211.6812 400.6255 l 211.6812 400.5654 l 211.8613 400.3853 l 211.981 400.3252 l 212.041 400.3252 l 212.2207 400.3853 l 212.2808 400.5654 l 212.4604 400.6255 l 212.4604 400.8057 l 212.2808 400.9258 l 212.2207 400.9858 l 212.041 400.9858 l 211.981 400.9858 l 211.8613 400.9858 l 211.6812 400.9258 l 211.6812 400.9258 l f 212.6401 402.0068 m 212.6401 401.8267 l 212.6401 401.7666 l 212.6401 401.5864 l 212.8198 401.5264 l 212.8799 401.4063 l 213.0596 401.4063 l 213.1792 401.5264 l 213.2393 401.5864 l 213.4189 401.7666 l 213.4189 401.8267 l 213.2393 402.0068 l 213.1792 402.127 l 213.0596 402.127 l 212.8799 402.127 l 212.8198 402.127 l 212.6401 402.0068 l 212.6401 402.0068 l f 213.6587 403.0283 m 213.6587 402.9683 l 213.6587 402.7881 l 213.6587 402.728 l 213.7788 402.6079 l 213.8384 402.4277 l 214.0186 402.4277 l 214.0781 402.6079 l 214.2578 402.728 l 214.3779 402.7881 l 214.3779 402.9683 l 214.2578 403.0283 l 214.0781 403.2085 l 214.0186 403.2085 l 213.8384 403.2085 l 213.7788 403.2085 l 213.6587 403.0283 l 213.6587 403.0283 l f 214.6177 404.1694 m 214.6177 403.9893 l 214.6177 403.9292 l 214.6177 403.8091 l 214.6772 403.6289 l 214.8574 403.5688 l 214.9771 403.5688 l 215.0371 403.6289 l 215.2168 403.8091 l 215.2769 403.9292 l 215.2769 403.9893 l 215.2168 404.1694 l 215.0371 404.2295 l 214.9771 404.2295 l 214.8574 404.2295 l 214.6772 404.2295 l 214.6177 404.1694 l 214.6177 404.1694 l f 215.5762 405.1909 m 215.4565 405.1309 l 215.4565 405.0107 l 215.5762 404.8301 l 215.6362 404.77 l 215.8159 404.5898 l 215.876 404.5898 l 216.0557 404.77 l 216.1758 404.8301 l 216.1758 405.0107 l 216.1758 405.1309 l 216.1758 405.1909 l 216.0557 405.3711 l 215.876 405.3711 l 215.8159 405.3711 l 215.6362 405.3711 l 215.5762 405.1909 l 215.5762 405.1909 l f 216.4751 406.332 m 216.415 406.2119 l 216.415 406.0317 l 216.4751 405.9717 l 216.6548 405.7915 l 216.7749 405.7314 l 216.8345 405.7314 l 217.0146 405.7915 l 217.0742 405.9717 l 217.0742 406.0317 l 217.0742 406.2119 l 217.0742 406.332 l 217.0146 406.3921 l 216.8345 406.3921 l 216.7749 406.3921 l 216.6548 406.3921 l 216.4751 406.332 l 216.4751 406.332 l f 217.4341 407.4131 m 217.374 407.2329 l 217.374 407.1729 l 217.4341 406.9927 l 217.6138 406.9326 l 217.6738 406.8125 l 217.8535 406.8125 l 217.9731 406.9326 l 218.0332 406.9927 l 218.0332 407.1729 l 218.0332 407.2329 l 218.0332 407.4131 l 217.9731 407.5337 l 217.8535 407.5337 l 217.6738 407.5337 l 217.6138 407.5337 l 217.4341 407.4131 l 217.4341 407.4131 l f 218.4526 408.4346 m 218.2729 408.3745 l 218.2729 408.1943 l 218.4526 408.1343 l 218.5723 408.0142 l 218.6323 407.834 l 218.812 407.834 l 218.8721 408.0142 l 219.0518 408.1343 l 219.0518 408.1943 l 219.0518 408.3745 l 219.0518 408.4346 l 218.8721 408.6147 l 218.812 408.6147 l 218.6323 408.6147 l 218.5723 408.6147 l 218.4526 408.4346 l 218.4526 408.4346 l f 219.2314 409.5757 m 219.2314 409.3955 l 219.2314 409.3354 l 219.2314 409.2153 l 219.4111 409.0352 l 219.4712 408.9751 l 219.6509 408.9751 l 219.771 409.0352 l 219.8311 409.2153 l 220.0107 409.3354 l 220.0107 409.3955 l 219.8311 409.5757 l 219.771 409.6357 l 219.6509 409.6357 l 219.4712 409.6357 l 219.4111 409.6357 l 219.2314 409.5757 l 219.2314 409.5757 l f 221.8682 408.0142 m 223.0669 413.5405 l 217.9731 411.1978 l 221.8682 408.0142 l 221.8682 408.0142 l f 0 R 0 0 0 XA 2 J 0.7208 w 10 M 0 XR 184.6563 368.8486 m 211.6216 399.9648 l S q 0 J 1 w 4 M 1 XR 411.5244 488.0273 m 423.8682 488.0273 l 423.8682 471.9287 l 411.5244 471.9287 l 411.5244 488.0273 l 411.5244 488.0273 l h W n q 0 XR 411.5244 471.9287 m 411.5244 488.0273 l 423.8682 488.0273 l 423.8682 471.9287 l 411.5244 471.9287 l h W n 0 To 13.962 0 0 13.9963 413.8018 474.9321 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (n) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 411.5244 471.9287 m 411.5244 488.0273 l 423.8682 488.0273 l 423.8682 471.9287 l 411.5244 471.9287 l h W n 0 To 11.9846 0 0 12.014 421.5918 474.9321 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A 0 R 0.2 0.2 0.8 XA 2 J 0 j 0.4806 w 10 M []0 d 0 XR 216.415 423.2119 m 218.4526 420.8091 l 220.2505 418.4063 l 221.8682 415.9434 l 222.6475 414.4414 l 223.2466 413.1802 l 223.666 411.6182 l 224.0254 409.8159 l 224.5649 406.0317 l 224.6245 404.2295 l 224.8047 402.728 l 224.8643 401.2261 l 225.0439 400.3252 l S 1 0 0 XA 365.084 440.8726 m 366.6416 437.9893 l 368.2002 435.2256 l 369.998 432.7627 l 372.2148 430.3604 l 374.6719 428.1377 l 377.4277 426.2153 l 380.4238 424.5933 l 383.4199 422.8516 l S 0.2 0.2 0.8 XA 0.7208 w 223.606 413.5405 m 233.793 377.498 l S 0 O 0.2 0.2 0.8 Xa 0 J 1 w 4 M 1 XR 231.2163 377.1377 m 235.0513 372.9326 l 236.1899 378.46 l 231.2163 377.1377 l 231.2163 377.1377 l f q 228.1001 372.0322 m 266.8701 372.0322 l 266.8701 355.9336 l 228.1001 355.9336 l 228.1001 372.0322 l 228.1001 372.0322 l h W n q 0 XR 228.1001 355.9336 m 228.1001 372.0322 l 266.8701 372.0322 l 266.8701 355.9336 l 228.1001 355.9336 l h W n 0 To 13.962 0 0 13.9963 230.3174 358.9365 0 Tp 0 Tv TP 0 Tr 0 O 0 0 1 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (w) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 228.1001 355.9336 m 228.1001 372.0322 l 266.8701 372.0322 l 266.8701 355.9336 l 228.1001 355.9336 l h W n 0 To 13.962 0 0 13.9963 240.3247 358.9365 0 Tp 0 Tv TP 0 Tr 0 O 0 0 1 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\222) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 228.1001 355.9336 m 228.1001 372.0322 l 266.8701 372.0322 l 266.8701 355.9336 l 228.1001 355.9336 l h W n 0 To 11.9846 0 0 12.014 244.9985 358.9365 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A 0 R 1 0 0 XA 2 J 0 j 0.7208 w 10 M []0 d 0 XR 372.2148 430.3604 m 343.8115 457.5718 l S 0 O 1 0 0 Xa 0 J 1 w 4 M 1 XR 345.8486 459.2539 m 340.4561 460.8154 l 342.3135 455.5293 l 345.8486 459.2539 l 345.8486 459.2539 l f q 329.8496 475.0522 m 369.3389 475.0522 l 369.3389 458.9536 l 329.8496 458.9536 l 329.8496 475.0522 l 329.8496 475.0522 l h W n q 0 XR 329.8496 458.9536 m 329.8496 475.0522 l 369.3389 475.0522 l 369.3389 458.9536 l 329.8496 458.9536 l h W n 0 To 13.962 0 0 13.9963 332.0664 461.957 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (p) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 329.8496 458.9536 m 329.8496 475.0522 l 369.3389 475.0522 l 369.3389 458.9536 l 329.8496 458.9536 l h W n 0 To 13.962 0 0 13.9963 339.8564 461.957 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\222) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 329.8496 458.9536 m 329.8496 475.0522 l 369.3389 475.0522 l 369.3389 458.9536 l 329.8496 458.9536 l h W n 0 To 11.9846 0 0 12.014 344.5303 461.957 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A 0 R 0 0 0 XA 2 J 0 j 0.7208 w 10 M []0 d 0 XR 372.2148 430.2998 m 407.0898 471.7485 l S 0 O 0 0 0 Xa 0 J 1 w 4 M 1 XR 408.8877 469.8262 m 410.0859 475.3525 l 404.9326 473.0098 l 408.8877 469.8262 l 408.8877 469.8262 l f q 367.7207 438.1094 m 377.1289 438.1094 l 377.1289 422.0103 l 367.7207 422.0103 l 367.7207 438.1094 l 367.7207 438.1094 l h W n q 0 XR 367.7207 422.0103 m 367.7207 438.1094 l 377.1289 438.1094 l 377.1289 422.0103 l 367.7207 422.0103 l h W n 0 To 13.962 0 0 13.9963 369.9375 425.1943 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\225) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 367.7207 422.0103 m 367.7207 438.1094 l 377.1289 438.1094 l 377.1289 422.0103 l 367.7207 422.0103 l h W n 0 To 11.9846 0 0 12.014 374.791 425.1943 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 372.5742 438.2295 m 381.0234 438.2295 l 381.0234 424.4131 l 372.5742 424.4131 l 372.5742 438.2295 l 372.5742 438.2295 l h W n q 0 XR 372.5742 424.4131 m 372.5742 438.2295 l 381.0234 438.2295 l 381.0234 424.4131 l 372.5742 424.4131 l h W n 0 To 13.962 0 0 13.9963 374.8516 427.1763 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_ArialMT 1 1 -0.3247 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 372.5742 424.4131 m 372.5742 438.2295 l 381.0234 438.2295 l 381.0234 424.4131 l 372.5742 424.4131 l h W n 0 To 11.9846 0 0 12.014 378.7461 427.1763 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 372.5742 438.1094 m 380.6641 438.1094 l 380.6641 424.293 l 372.5742 424.293 l 372.5742 438.1094 l 372.5742 438.1094 l h W n q 0 XR 372.5742 424.293 m 372.5742 438.1094 l 380.6641 438.1094 l 380.6641 424.293 l 372.5742 424.293 l h W n 0 To 13.962 0 0 13.9963 374.8516 427.0562 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx 0 1 Tk ( ) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 372.5742 424.293 m 372.5742 438.1094 l 380.6641 438.1094 l 380.6641 424.293 l 372.5742 424.293 l h W n 0 To 11.9846 0 0 12.014 381.8027 427.0562 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 380.1846 440.5117 m 392.4688 440.5117 l 392.4688 424.4131 l 380.1846 424.4131 l 380.1846 440.5117 l 380.1846 440.5117 l h W n q 0 XR 380.1846 424.4131 m 380.1846 440.5117 l 392.4688 440.5117 l 392.4688 424.4131 l 380.1846 424.4131 l h W n 0 To 13.962 0 0 13.9963 382.4014 427.4165 0 Tp 0 Tv TP 0 Tr 0 O 1 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (p) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 380.1846 424.4131 m 380.1846 440.5117 l 392.4688 440.5117 l 392.4688 424.4131 l 380.1846 424.4131 l h W n 0 To 11.9846 0 0 12.014 390.1914 427.4165 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A 0 R 0.2 0.6 0.4 XA 2 J 0 j 0.4806 w 10 M []0 d 0 XR 325.835 414.9824 m 324.6963 414.9824 l 323.4375 414.9824 l 321.8799 414.8018 l 320.082 414.7417 l 317.8652 414.8018 l 316.666 414.8018 l 315.2881 414.9824 l 313.8496 415.1626 l 312.292 415.4028 l 310.4941 415.7632 l 308.5166 416.1836 l 306.3594 416.604 l 304.0825 417.3848 l 301.5059 418.166 l 298.6895 419.187 l 295.873 420.2085 l 292.6973 421.3496 l 286.3452 423.5723 l 279.9336 425.7949 l 276.6978 426.7559 l 273.4019 427.5366 l 270.3457 428.2578 l 267.3496 428.8584 l 264.4136 429.1587 l 261.7168 429.2188 l 259.6196 429.1587 l 257.582 428.8584 l 255.5449 428.5581 l 253.5674 428.0176 l 249.4326 426.7559 l 245.3579 425.1943 l 241.4033 423.3921 l 237.7476 421.5898 l 234.1523 419.6074 l 230.7969 417.8057 l S 0 O 0 1 0 Xa 0 J 1 w 4 M 1 XR 229.6582 420.1484 m 223.9653 414.2012 l 232.0552 415.4028 l 229.6582 420.1484 l 229.6582 420.1484 l f 0 R 0.2 0.6 0.4 XA 2 J 0.7809 w 10 M 0 XR 229.6582 420.1484 m 223.9653 414.2012 l 232.0552 415.4028 l 229.6582 420.1484 l 229.6582 420.1484 l s 0 O 0 1 0 Xa 0 1 0 XA 0.0601 w 371.7949 429.8794 m 371.7354 429.9395 l 371.7949 429.8794 l 371.6758 429.9995 l 371.7949 429.9395 l 371.6758 429.9395 l 371.8555 429.9995 l 371.7949 429.8794 l 371.8555 430.0596 l 371.8555 429.9395 l 371.8555 429.8193 l 371.8555 429.7593 l 371.6152 429.9995 l 371.6758 429.9995 l 371.7949 429.9995 l 371.915 429.9395 l 371.9756 429.9395 l 372.0352 429.8193 l 372.0352 429.7593 l 372.0352 429.6392 l 371.9756 429.5791 l 371.915 429.519 l 371.7949 429.459 l 371.6758 429.459 l 371.6152 429.459 l 371.4961 429.519 l 371.4355 429.5791 l 371.376 429.6392 l 371.376 429.7593 l 371.376 429.8193 l 371.376 429.9395 l 371.376 430.0596 l 371.376 430.1797 l 371.4355 430.2402 l 371.5557 430.3604 l 371.6152 430.4204 l 371.6758 430.4204 l 371.7949 430.4204 l 371.8555 430.4204 l 371.915 430.4204 l 372.0947 430.2998 l 372.1553 430.2402 l 372.2148 430.1797 l 372.2148 430.0596 l 372.2148 429.9995 l 372.2148 429.8794 l 372.1553 429.8193 l 372.0352 429.7593 l 371.915 429.7593 l 371.8555 429.8193 l 371.7949 429.8794 l 371.7949 429.8794 l 371.7949 429.8794 l b 370.9561 429.6392 m 370.9561 429.7593 l 371.0166 429.5791 l 370.9561 429.6392 l 371.0762 429.5791 l 371.0166 429.5791 l 370.8369 429.5791 l 370.7764 429.5791 l 371.0166 429.8193 l 371.0166 429.7593 l 371.0166 429.5791 l 371.0166 429.459 l 370.9561 429.6392 l 371.0762 429.459 l 371.0762 429.3989 l 371.0762 429.2788 l 371.0762 429.2188 l 371.0166 429.0986 l 370.8965 429.0986 l 370.7764 429.0986 l 370.7168 429.0986 l 370.6572 429.2188 l 370.5371 429.3389 l 370.5371 429.3989 l 370.4775 429.459 l 370.4775 429.5791 l 370.4775 429.7593 l 370.4775 429.8193 l 370.5371 429.9395 l 370.5967 429.9995 l 370.6572 430.0596 l 370.7764 430.0596 l 370.8369 430.0596 l 371.0166 430.0596 l 371.0762 430.0596 l 371.1963 430.0596 l 371.2559 429.9995 l 371.376 429.8794 l 371.4355 429.8193 l 371.4355 429.7593 l 371.4355 429.6392 l 371.4355 429.519 l 371.376 429.459 l 371.3164 429.3989 l 371.1963 429.3389 l 371.0762 429.3989 l 371.0166 429.459 l 370.9561 429.519 l 370.9561 429.6392 l 370.9561 429.6392 l 370.9561 429.6392 l b 369.998 429.2788 m 369.998 429.3389 l 369.998 429.459 l 370.2373 429.2188 l 370.1777 429.2188 l 369.998 429.2188 l 369.8779 429.2188 l 370.1172 429.3389 l 369.998 429.2188 l 370.0576 429.3389 l 370.0576 429.2188 l 369.998 429.3989 l 370.0576 429.2788 l 370.1172 429.2788 l 370.2373 429.0986 l 370.2373 429.0386 l 370.2373 428.9185 l 370.2373 428.8584 l 370.1172 428.7983 l 370.0576 428.7383 l 369.9375 428.7383 l 369.8779 428.7983 l 369.8184 428.8584 l 369.6982 428.9785 l 369.7578 428.9785 l 369.6377 429.0386 l 369.5781 429.1587 l 369.5781 429.2188 l 369.5781 429.3389 l 369.5781 429.3989 l 369.5781 429.459 l 369.6982 429.6392 l 369.7578 429.6992 l 369.8184 429.6992 l 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429.3389 l 368.9785 429.3989 l 369.0391 429.3989 l 369.2188 429.3989 l 369.2783 429.3989 l 369.3984 429.3389 l 369.5186 429.2788 l 369.6377 429.0986 l 369.6377 429.0386 l 369.6377 428.9785 l 369.6377 428.9185 l 369.6377 428.7983 l 369.5781 428.7383 l 369.5186 428.6782 l 369.3984 428.6782 l 369.2783 428.6782 l 369.2188 428.7383 l 369.1592 428.7983 l 369.1592 428.9185 l 369.1592 428.9185 l 369.1592 428.9185 l b 368.2002 428.6182 m 368.2002 428.6182 l 368.2002 428.7383 l 368.4395 428.498 l 368.3799 428.498 l 368.2002 428.498 l 368.0801 428.498 l 368.2598 428.5581 l 368.2002 428.438 l 368.2598 428.6182 l 368.2598 428.5581 l 368.2002 428.6782 l 368.3203 428.498 l 368.2598 428.5581 l 368.3799 428.438 l 368.4395 428.3779 l 368.4395 428.2578 l 368.4395 428.1978 l 368.3799 428.0776 l 368.3203 428.0776 l 368.2002 428.0176 l 368.1396 428.0776 l 368.0205 428.0776 l 367.96 428.1978 l 367.9004 428.2578 l 367.7803 428.3779 l 367.7803 428.438 l 367.7803 428.5581 l 367.7803 428.6182 l 367.7803 428.7383 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To 13.962 0 0 13.9963 263.0952 433.3037 0 Tp 0 Tv TP 0 Tr 0 O 0.2 0.6 0.4 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\() Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 250.8711 430.2998 m 250.8711 446.3989 l 291.3789 446.3989 l 291.3789 430.2998 l 250.8711 430.2998 l h W n 0 To 13.962 0 0 13.9963 267.769 433.3037 0 Tp 0 Tv TP 0 Tr 0 O 0.2 0.6 0.4 Xa %_ 0 50 XQ /_TimesNewRomanPS-BoldMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (p) Tx 0 -2 Tk (\)) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 250.8711 430.2998 m 250.8711 446.3989 l 291.3789 446.3989 l 291.3789 430.2998 l 250.8711 430.2998 l h W n 0 To 11.9846 0 0 12.014 280.2334 433.3037 0 Tp 0 Tv TP 0 Tr 0 O 0.2 0.6 0.4 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 218.7524 421.6499 m 228.2202 421.6499 l 228.2202 405.5513 l 218.7524 405.5513 l 218.7524 421.6499 l 218.7524 421.6499 l h W n q 0 XR 218.7524 405.5513 m 218.7524 421.6499 l 228.2202 421.6499 l 228.2202 405.5513 l 218.7524 405.5513 l h W n 0 To 13.962 0 0 13.9963 220.9692 408.7349 0 Tp 0 Tv TP 0 Tr 0 O 0 0 1 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (\225) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 218.7524 405.5513 m 218.7524 421.6499 l 228.2202 421.6499 l 228.2202 405.5513 l 218.7524 405.5513 l h W n 0 To 11.9846 0 0 12.014 225.8232 408.7349 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 223.606 421.77 m 232.0552 421.77 l 232.0552 407.9541 l 223.606 407.9541 l 223.606 421.77 l 223.606 421.77 l h W n q 0 XR 223.606 407.9541 m 223.606 421.77 l 232.0552 421.77 l 232.0552 407.9541 l 223.606 407.9541 l h W n 0 To 13.962 0 0 13.9963 225.8828 410.7173 0 Tp 0 Tv TP 0 Tr 0 O 0 0 1 Xa %_ 0 50 XQ /_ArialMT 1 1 -0.3247 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 223.606 407.9541 m 223.606 421.77 l 232.0552 421.77 l 232.0552 407.9541 l 223.606 407.9541 l h W n 0 To 11.9846 0 0 12.014 229.7778 410.7173 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 223.606 421.6499 m 231.6958 421.6499 l 231.6958 407.834 l 223.606 407.834 l 223.606 421.6499 l 223.606 421.6499 l h W n q 0 XR 223.606 407.834 m 223.606 421.6499 l 231.6958 421.6499 l 231.6958 407.834 l 223.606 407.834 l h W n 0 To 13.962 0 0 13.9963 225.8828 410.5972 0 Tp 0 Tv TP 0 Tr 0 O 0 0 1 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx 0 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200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (w) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 227.2012 400.5054 m 227.2012 416.604 l 241.8823 416.604 l 241.8823 400.5054 l 227.2012 400.5054 l h W n 0 To 11.9846 0 0 12.014 239.4854 403.5088 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q 0 A q 0 J 0 j 1 w 4 M []0 d 1 XR 287.1841 307.5771 m 336.9805 307.5771 l 336.9805 291.7783 l 287.1841 291.7783 l 287.1841 307.5771 l 287.1841 307.5771 l h W n q 0 XR 287.1841 291.7783 m 287.1841 307.5771 l 336.9805 307.5771 l 336.9805 291.7783 l 287.1841 291.7783 l h W n 0 To 11.9846 0 0 12.014 289.4614 296.3438 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (F) Tx 0 1 Tk (i) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 287.1841 291.7783 m 287.1841 307.5771 l 336.9805 307.5771 l 336.9805 291.7783 l 287.1841 291.7783 l h W n 0 To 11.9846 0 0 12.014 299.4683 296.3438 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (g) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 287.1841 291.7783 m 287.1841 307.5771 l 336.9805 307.5771 l 336.9805 291.7783 l 287.1841 291.7783 l h W n 0 To 11.9846 0 0 12.014 305.4609 296.3438 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw (ur) Tx 0 -2 Tk (e) Tx 0 -1 Tk ( 3) Tx (\r) TX TO Q 0 A q 0 J 0 j 1 w 4 M []0 d 0 XR 287.1841 291.7783 m 287.1841 307.5771 l 336.9805 307.5771 l 336.9805 291.7783 l 287.1841 291.7783 l h W n 0 To 11.9846 0 0 12.014 329.7891 296.3438 0 Tp 0 Tv TP 0 Tr 0 O 0 0 0 Xa %_ 0 50 XQ /_TimesNewRomanPSMT 1 1 -0.3066 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 0 TV 36 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 1 2 2 3 Th 0 Tq 0 Tg 0 0 Tl 0 Tc 0 Tw ( ) Tx (\r) TX TO Q Q U LB %AI5_EndLayer-- %%PageTrailer gsave annotatepage grestore showpage %%Trailer Adobe_Illustrator_AI5 /terminate get exec Adobe_ColorImage_AI6 /terminate get exec Adobe_pattern_AI5 /terminate get exec AGM_Gradient /terminate get exec Adobe_typography_AI5 /terminate get exec Adobe_cshow /terminate get exec Adobe_level2_AI5 /terminate get exec %%EOF %%EndDocument @endspecial 450 2085 a(Consider) 38 b(a) i(f) o(amily) f(of) f(optimal) h(contr) n(ol) h(pro) n(blems) f(parameter) n(ized) g(by) g(the) g(v) o (ector) p FC 38 w(w) p FH 1 w(,) 44 b(with) 450 2194 y(cost) e(fun) n(ctions) p FD 42 w(`) p Ft 1012 2163 a(w) p FB 1085 2194 a(\() p FD(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) 63 b(=) p Fs 1546 2131 a(P) p Fy 1633 2152 a(d) 1633 2218 y(i) p Fu(=1) p FD 1759 2194 a(w) p Fy 1818 2206 a(i) p FD 1846 2194 a(`) p Fy 1881 2206 a(i) p FB 1922 2194 a(\() p FD(t;) p FC 14 w(x) p FD(;) p FC 14 w(u) p FB(\)) p FH 1 w(.) 89 b(Here) p FD 42 w(`) p Fy 2543 2206 a(i) p FH 2612 2194 a(are) 41 b(dif) n(fere) n(nt) h(compo) n(nent) 450 2285 y(costs,) c(and) p FD 34 w(w) p Fy 889 2297 a(i) p FH 952 2285 a(are) d(the) f(corresp) n (ondin) n(g) h(non-) n(ne) o(ga) n(ti) n(v) o(e) f(weights.) 68 b(W) m(ithout) 34 b(loss) h(of) f(gener) n(ality) 450 2376 y(we) i(can) f(assume) h(that) p Fs 1175 2314 a(P) p Fy 1263 2401 a(i) p FD 1304 2376 a(w) p Fu 1365 2346 a(2) p Fy 1363 2398 a(i) p FB 1454 2376 a(=) 51 b(1) p FH(,) 40 b(i.e.,) f(the) c(weight) g(v) o(ector) p FC 34 w(w) p FA 53 w(2) p FD 52 w(W) p FA 63 w(\032) p Fz 51 w(R) p Fy 3016 2346 a(d) p FH 3097 2376 a(lies) h(in) g(the) 450 2479 y(positi) n(v) o(e) h(quadr) n(ant) i(of) e(the) i(unit) f(spher) n (e.) 80 b(Let) p Fx 38 w(\031) p Ft 2020 2449 a(w) p FB 2093 2479 a(\() p FD(t;) p FC 14 w(x) p FB(\)) p FH 40 w(be) 38 b(an) g(optimal) f(contro) n(l) i(la) o(w) p Fq 3233 2449 a(3) p FH 3266 2479 a(,) k(and) p FC 450 2571 a(p) p FB 14 w(\() p FC(w) p FB 1 w(\)) p FA 50 w(2) p FD 50 w(P) p FA 62 w(\032) p Fz 49 w(R) p Fy 1089 2540 a(d) p FH 1169 2571 a(be) 34 b(the) h(v) o(ecto) n(r) g(of) f(e) o (xpected) f(compo) n(nent) h(costs) h(achie) n(v) o(ed) e(by) p Fx 34 w(\031) p Ft 3203 2540 a(w) p FH 3262 2571 a(;) 43 b(i.e.,) p FD 450 2732 a(p) p Fy 492 2744 a(i) p FB 533 2732 a(\() p FC 1 w(w) p FB 1 w(\)) 27 b(=) p FD 27 w(E) p Ft 848 2747 a(x) p Fu(\() p Fy(:) p Fu(\)) p Fs 977 2619 a(Z) p Fy 1060 2639 a(T) p Fu 1060 2807 a(0) p FD 1126 2732 a(`) p Fy 1161 2744 a(i) p FB 1202 2732 a(\() p FD 1 w(t;) p FC 14 w(x) p FB 14 w(\() p FD(t) p FB(\)) p FD 14 w(;) p Fx 14 w(\031) p Ft 1571 2702 a(w) p FB 1644 2732 a(\() p FD(t;) p FC 14 w(x) p FB 14 w(\() p FD 1 w(t) p FB(\)\)\)) p FD 28 w(dt) p FH(.) 32 b(Consider) 22 b(a) h(weight) f(v) o(ecto) n(r) p 2981 2685 71 4 v FC 23 w(w) p FH 24 w(and) g(its) h(cor) n(-) 450 2878 y(respon) n(ding) p 837 2831 54 4 v FC 17 w(p) p FB 23 w(=) p FC 23 w(p) p FB 14 w(\() p 1100 2831 71 4 v FC(w) p FB 1 w(\)) p FH(,) c(such) e (that) h(the) f(mapp) n(ing) p FC 18 w(p) p FB 14 w(\() p FC(w) p FB 1 w(\)) p FH 18 w(is) i(locally) e(smooth) f(and) h(in) m(v) o(er) n(tible.) 24 b(Then) 450 2969 y(we) 19 b(can) f(de\002ne) g(the) h (in) m(v) o(e) n(rse) g(mappin) n(g) p FC 19 w(w) p FB 15 w(\() p FC(p) p FB(\)) p FH 20 w(fro) n(m) g(the) g(e) o(xp) n (ected) g(comp) n(onent) f(cost) h(manif) n(old) p FD 18 w(P) p FH 31 w(to) 450 3061 y(the) h(weight) g(manifo) n(ld) p FD 20 w(W) p FH 12 w(,) h(as) g(illustrated) f(in) g(Figure) g(3.) 450 3202 y(From) k(the) h(de\002nitio) n(ns) g(of) p FD 25 w(`) p Ft 1287 3172 a(w) p FH 1371 3202 a(and) p FD 24 w(p) p Fy 1558 3214 a(i) p FH 1585 3202 a(,) h(the) f(total) g(e) o(xp) n(ected) g(cost) f(achie) n(v) o(ed) f(by) p Fx 24 w(\031) p Ft 2894 3172 a(w) p FH 2979 3202 a(is) p FA 25 w(h) p FC(w) p FB 16 w(\() p FC(p) p FB(\)) p FD 14 w(;) p FC 14 w(p) p FA(i) p FH(.) 450 3293 y(Since) p Fx 16 w(\031) p Ft 710 3263 a(w) p FH 786 3293 a(is) 16 b(an) g(optim) n(al) g(control) f(la) o(w) g(for) g(the) h(prob) n(lem) g(de\002ned) e(by) h(the) h (weight) f(v) o(ecto) n(r) p FC 16 w(w) p FH 1 w(,) i(no) e(other) 450 3384 y(contro) n(l) 25 b(la) o(w) f(can) g(achie) n(v) o(e) f(a) h (smaller) g(total) h(e) o(xp) n(ected) f(cost,) h(and) f(so) p FA 24 w(h) p FC 1 w(w) p FB 15 w(\() p FC(p) p FB(\)) p FD 14 w(;) p FC 14 w(p) p FA(i) 31 b(\024) p Fs 3007 3317 a(\012) p FC 3047 3384 a(w) p FB 15 w(\() p FC(p) p FB(\)) p FD 14 w(;) p FC 14 w(p) p Fu 3352 3354 a(#) p Fs 3411 3317 a(\013) p FH 450 3492 a(for) 24 b(all) p FC 25 w(p) p Fu 733 3462 a(#) p FA 823 3492 a(2) p FD 32 w(P) p FH 12 w(.) 39 b(Theref) n(ore,) 25 b(if) g(we) g(construct) f (the) p FD 25 w(d) p FA 22 w(\000) p FB 21 w(1) p FH 25 w(dimen) n(sional) h(hy) n(perplan) n(e) p FB 26 w(H) 14 b(\() p FC(p) p FB(\)) p FH 25 w(that) 450 3584 y(contain) n(s) p FC 27 w(p) p FH 27 w(and) 26 b(is) h(orth) n(ogon) n(al) g(to) p FC 26 w(w) p FB 15 w(\() p FC 1 w(p) p FB(\)) p FH(,) h(the) e(entire) f (manifold) p FD 25 w(P) p FH 38 w(has) i(to) f(lie) h(in) f(the) g (half-sp) n(ace) 450 3675 y(not) 32 b(conta) n(ining) g(the) g(origin) n (.) 61 b(Thus) p FB 32 w(H) 14 b(\() p FC(p) p FB(\)) p FH 33 w(is) 33 b(tangen) n(t) g(to) f(the) g(manifo) n(ld) p FD 32 w(P) p FH 45 w(at) g(point) p FC 32 w(p) p FH(,) p FD 35 w(P) p FH 44 w(has) 450 3766 y(non-) n(ne) o(ga) n(ti) n(v) o(e) h (curv) l(ature,) i(and) d(the) g(unit) h(v) o(ecto) n(r) p FC 33 w(n) p FB 14 w(\() p FC(p) p FB(\)) p FH 33 w(which) f(is) i (norm) n(al) f(to) p FD 33 w(P) p FH 45 w(at) p FC 33 w(p) p FH 33 w(satis\002es) p Fq 3416 3736 a(4) p FC 450 3858 a(n) p FB 14 w(\() p FC(p) p FB(\)) 24 b(=) p FC 22 w(w) p FB 15 w(\() p FC 1 w(p) p FB(\)) p FH(.) 450 3999 y(Let) p FC 25 w(p) p FB 14 w(\() p FD(\013) p FB 1 w(\)) p FA 32 w(2) p FD 32 w(P) p FH 12 w(,) p FD 26 w(\013) p FA 32 w(2) p Fz 32 w(R) p FH 32 w(be) h(a) g(param) n(etric) g (curv) o(e) f(that) h(passes) h(thro) n(ugh) e(the) h(point) f(of) h (interest) p 3374 3952 54 4 v FC 25 w(p) p FH(:) p FC 450 4090 a(p) p FB 14 w(\(0\)) h(=) p 739 4043 V FC 25 w(p) p FH(.) j(De\002ne) p FC 22 w(n) p FB 14 w(\() p FD(\013) p FB(\)) d(=) p FC 26 w(n) p FB 14 w(\() p FC(p) p FB 14 w(\() p FD(\013) p FB(\)) q(\)) p FH 22 w(and) p FC 21 w(w) p FB 15 w(\() p FD(\013) p FB 1 w(\)) g(=) p FC 25 w(w) p FB 15 w(\() p FC(p) p FB 14 w(\() p FD(\013) p FB 1 w(\)\)) p FH(.) k(By) 22 b(dif) n(fer) n(entiating) p FC 21 w(p) p FB 14 w(\() p FD(\013) p FB 1 w(\)) p FH 22 w(at) p FD 450 4181 a(\013) p FB 29 w(=) 28 b(0) p FH 23 w(we) 23 b(obtain) g(the) g(tange) n(nt) p 1435 4134 V FC 24 w(p) p Fw 1488 4148 a(0) p FH 1535 4181 a(to) g(the) g(curv) m(e) p FC 24 w(p) p FB 14 w(\() p FD(\013) p FB(\)) p FH 24 w(at) p 2247 4134 V FC 24 w(p) p FH(.) 34 b(Since) p 2563 4134 V FC 23 w(n) p FH 24 w(is) 24 b(nor) n(mal) g(to) p FD 23 w(P) p FH 12 w(,) g(we) f(ha) n(v) o(e) p FA 450 4273 a(h) p 482 4226 V FC(n) p FD(;) p 572 4226 V FC 14 w(p) p Fw 625 4240 a(0) p FA 649 4273 a(i) p FB 31 w(=) 30 b(0) p FH(.) 38 b(Dif) n(feren) n(tiating) 25 b(the) f(latter) h(equality) e(once) h(again) g(yields) p FA 24 w(h) p 2681 4226 V FC(n) p FD(;) p 2771 4226 V FC 14 w(p) p Fw 2824 4240 a(00) p FA 2867 4273 a(i) p FB 22 w(+) p FA 21 w(h) p 3039 4226 V FC(n) p Fw 3092 4240 a(0) p FD 3116 4273 a(;) p 3153 4226 V FC 14 w(p) p Fw 3206 4240 a(0) p FA 3229 4273 a(i) p FB 31 w(=) 31 b(0) p FH(.) 450 4364 y(The) 19 b(non) n(-ne) o(g) n(ati) n(v) o(e) g (curv) l(ature) g(of) p FD 18 w(P) p FH 32 w(implies) p FA 19 w(h) p 1847 4317 V FC(n) p FD(;) p 1937 4317 V FC 14 w(p) p Fw 1990 4331 a(00) p FA 2032 4364 a(i) 24 b(\025) p FB 22 w(0) p FH(;) c(i.e.,) f(the) g(tangen) n(t) p 2787 4317 V FC 20 w(p) p Fw 2840 4331 a(0) p FH 2883 4364 a(cann) n(ot) h(turn) e(a) o(w) o(ay) 450 4455 y(from) h(the) g (norm) n(al) p 1009 4408 V FC 21 w(n) p FH 20 w(withou) n(t) p FC 21 w(p) p FH 20 w(crossing) g(the) g(hyp) n(erplane) p FB 19 w(H) p FH(.) 26 b(Ther) n(efore) p FA 19 w(h) p 2724 4408 V FC(n) p Fw 2777 4422 a(0) p FD 2801 4455 a(;) p 2838 4408 V FC 14 w(p) p Fw 2891 4422 a(0) p FA 2914 4455 a(i) d(\024) p FB 23 w(0) p FH(,) c(and) g(since) p FC 450 4547 a(n) p FB 23 w(=) p FC 23 w(w) p FH 1 w(,) i(we) f(ha) n(v) o(e) p FA 20 w(h) p 1050 4500 71 4 v FC(w) p Fw 1120 4514 a(0) p FD 1144 4547 a(;) p 1181 4500 54 4 v FC 14 w(p) p Fw 1233 4514 a(0) p FA 1257 4547 a(i) j(\024) p FB 23 w(0) p FH(.) p 450 4606 1196 4 v Fm 555 4662 a(3) p Fl 584 4693 a(If) c(we) g(assume) g(that) g(the) g(optimal) g(control) h (la) o(w) e(is) g(uniqu) r(e,) g(all) h(inequalities) g(belo) n(w) g (become) h(strict.) p Fm 555 4752 a(4) p Fl 584 4784 a(F) o(or) 26 b(a) g(general) h(2D) f(manifold) p Fh 26 w(P) p Fl 37 w(embedded) h(in) p Fb 26 w(R) p Ff 1983 4752 a(3) p Fl 2021 4784 a(,) g(the) f(mapping) p Fh 27 w(P) p Fa 46 w(!) p Fh 35 w(W) p Fl 35 w(on) h(the) f(unit) g (sphere) p Fh 27 w(W) p Fl 450 4867 a(that) h(satis\002es) p Fk 27 w(n) p Fi 13 w(\() p Fk(p) p Fi(\)) 37 b(=) p Fk 37 w(w) p Fi 14 w(\() p Fk(p) p Fi(\)) p Fl 27 w(is) 27 b(kno) n(wn) h(as) g(the) f(Gauss) h(map,) h(and) f(plays) g(an) g (important) g(role) f(in) g(surf) o(ace) 450 4950 y(dif) n(ferential) 19 b(geometry) -5 b(.) p 90 rotate dyy eop %%Page: 8 8 8 7 bop FH 450 83 a(The) 22 b(abo) o(v) m(e) h(result) g(means) f(that) h(whene) l(v) o(er) f(we) h(change) f(the) g(weight) g(v) o(ector) p FC 22 w(w) p FH 1 w(,) h(the) g(corresp) n(ondin) n(g) 450 174 y(v) o(ector) p FC 21 w(p) p FB 14 w(\() p FC(w) p FB 1 w(\)) p FH 23 w(of) e(e) o(xpe) n(cted) h(compo) n(nent) f(costs) i (achie) n(v) m(ed) f(by) f(the) h(\(ne) n(w\)) e(optimal) h(control) g (la) o(w) h(will) 450 266 y(chang) n(e) f(in) g(an) g(\223opp) n (osite\224) g(direction) n(.) 28 b(More) 20 b(precisely) -7 b(,) 21 b(suppose) f(we) h(v) n(ary) p FC 20 w(w) p FH 22 w(along) f(a) h(great) g(circle) 450 357 y(that) f(passes) h(throu) n (gh) f(one) g(of) g(the) g(corne) n(rs) h(of) p FD 20 w(W) p FH 12 w(,) g(say) p FB 20 w(\(1) p FD(;) p FB 14 w(0) p FD(;) 14 b(:) g(:) g(:) f(;) p FB 14 w(0\)) p FH(,) 20 b(so) h(that) p FD 20 w(w) p Fu 2829 369 a(1) p FH 2887 357 a(decreases) f(and) g(all) p FD 450 448 a(w) p Fy 509 460 a(i) p Fw(6) p Fu(=1) p FH 642 448 a(increase.) k(Then) c (the) g(comp) n(onent) g(cost) p FD 20 w(p) p Fu 1860 460 a(1) p FB 1911 448 a(\() p FC(w) p FB 1 w(\)) p FH 22 w(will) h(incre) n(ase.) p FF 450 689 a(Refer) n(en) r(ces) p FH 492 853 a([1]) 40 b(Bernstein,) 35 b(N.I.) p FE 33 w(The) e(Coor) m(dina) n(tion) g(and) f(Re) m(gu) n(lation) g(of) h(Mo) o(vements) p FH(.) g(Per) o(g) n(amon) f(Press,) 630 944 y(\(19) n(67\).) 492 1069 y([2]) 40 b(Bizzi,) 31 b(E.,) f(Accorner) n(o,) h(N.,) f(Chapple,) g(W) -8 b(.) 29 b(&) g(Hoga) n(n,) i(N.) e(Posture) f(contr) n(ol) h(and) f(trajector) n (y) 630 1160 y(form) n(ation) 20 b(durin) n(g) h(arm) e(mo) o(v) o(e) n (ment.) p FE 20 w(J) i(Neur) l(osci) p FH 20 w(4,) f(2738) n(-44) g (\(198) n(4\).) 492 1285 y([3]) 40 b(Cole,) 23 b(K.J.) g(&) g(Abbs,) g (J.H.) g(Kinema) n(tic) h(and) e(electrom) n(yogr) n(aphic) g (responses) g(to) h(pertur) n(bation) 630 1376 y(of) d(a) g(rapid) g (grasp.) p FE 19 w(J) h(Neur) l(ophy) n(siol) p FH 21 w(57,) f(149) n(8-51) n(0) h(\(19) n(87\).) 492 1501 y([4]) 40 b(D'A) -6 b(v) o(e) n(lla,) 28 b(A.) e(&) h(Bizzi,) h(E.) e (Lo) n(w) g(dimen) n(sionality) g(of) f(supraspinally) g(indu) n(ced) h (force) f(\002elds.) p FE 630 1592 a(PN) n(AS) p FH 20 w(95,) 20 b(771) n(1-771) n(4) g(\(1998) n(\).) 492 1716 y([5]) 40 b(Da) n(vis,) 28 b(M.H.A.) f(&) g(V) -5 b(inter) m(,) 27 b(R.) p FE 27 w(Stoc) o(ha) n(stic) h(Modellin) n(g) f(and) f(Contr) l (ol) p FH(.) h(Chapma) n(n) g(and) f(Hall,) 630 1808 y(\(19) n(85\).) 492 1932 y([6]) 40 b(Domk) n(in) 33 b(D.,) i(Laczk) o(o,) g(J.,) g(Jaric,) h(S.,) g(Johan) n(sson,) g(H.,) f (&) e(Latash,) i(M.) d(Structure) g(of) g(joint) 630 2024 y(v) n(ariab) n(ility) 21 b(in) f(bimanu) n(al) h(pointin) n(g) f (tasks.) p FE 21 w(Exp) g(Br) o(ain) f(Res) p FH 21 w(143,) g(11-2) n (3) i(\(20) n(02\).) 492 2148 y([7]) 40 b(Fleming,) 21 b(W) -8 b(.) 22 b(and) f(Soner) m(,) g(H.) g(\(1993) n(\).) p FE 22 w(Contr) l(olled) g(Mark) o(o) o(v) g(Pr) l(ocesses) h(and) f(V) -6 b(iscosity) 22 b(Solu) n(-) 630 2240 y(tions) p FH(.) e(Applicatio) n (ns) h(of) f(Mathema) n(tics,) h(Springe) n(r) n(-V) -9 b(erlag,) 19 b(Berlin.) 492 2364 y([8]) 40 b(Flash,) 24 b(T) -6 b(.) 23 b(&) g(Hogan) n(,) h(N.) g(The) f(coor) n(dination) f (of) h(arm) g(mo) o(v) m(ements:) 31 b(an) 23 b(e) o(xpe) n(rimentally) f(con-) 630 2455 y(\002rmed) d(mathematical) g(model.) p FE 19 w(J) i(Neur) l(oscience) p FH 20 w(5,) f(1688) n(-170) n(3) h (\(19) n(85\).) 492 2580 y([9]) 40 b(Gelf) o(and) n(,) j(I.,) f (Gur\002n) n(k) o(el,) g(V) -11 b(.,) 43 b(Tsetlin,) f(M.) 37 b(&) h(Shik,) k(M.) c(In) p FE 37 w(Models) g(of) f(the) h(structur) o (al-) 630 2671 y(functio) n(nal) h(or) m(gan) n(ization) f(of) h (certain) f(biolo) o(gica) n(l) i(systems) p FH(.) f(Gelf) o(and,) j (I.,) h(Gur\002nk) o(el,) f(V) -11 b(.,) 630 2763 y(F) o(omin) n(,) 21 b(S.) g(&) f(Tsetlin,) g(M.) g(\(eds.\)) g(MIT) g(Press,) h(197) n(1.) 450 2887 y([10]) 40 b(Harris,) 30 b(C.M.) f(&) f(W) -7 b(olpert,) 31 b(D.M.) d(Signal-d) n(epend) n(ent) h(noise) f(determin) n (es) h(motor) f(plann) n(ing.) p FE 630 2978 a(Natur) m(e) p FH 20 w(394,) 19 b(780-) n(784) h(\(19) n(98\).) 450 3103 y([11]) 40 b(Hinton) n(,) 18 b(G.E.) f(P) o(arallel) g(compu) n (tations) g(for) g(contr) n(olling) g(an) g(arm.) p FE 16 w(J) n(ourna) n(l) h(of) f(Motor) h(Beha) n(vior) p FH 630 3194 a(16,) h(171-1) n(94) h(\(19) n(84\).) 450 3319 y([12]) 40 b(Robertson) n(,) 21 b(E.M.) f(&) h(Miall,) f(R.C.) i (Multi-jo) n(int) f(limbs) g(perm) n(it) g(a) g(\003e) o(xible) f (response) g(to) g(unpr) n(e-) 630 3410 y(dictable) f(e) n(v) o(ents.) p FE 20 w(Exp) h(Br) o(ain) f(Res) p FH 21 w(117) n(,) i(148) n(-52) f (\(199) n(7\).) 450 3535 y([13]) 40 b(Sutton,) 18 b(G.G.) g(&) h(Syk) o (es,) g(K.) g(The) f(v) n(ariation) f(of) h(hand) g(tremor) f(with) i (force) f(in) h(healthy) e(subjects.) p FE 630 3626 a(J) n(ourn) n(al) k (of) f(Physiolo) o(g) n(y) p FH 21 w(191\() n(3\),) g(699) n(-711) f (\(196) n(7\).) 450 3751 y([14]) 40 b(T) -7 b(odo) n(ro) o(v) i(,) 16 b(E.) g(&) h(Jordan) n(,) g(M.) g(Optimal) f(feedb) n(ack) g(control) g (as) h(a) f(theory) f(of) h(motor) g(coo) n(rdination) n(.) p FE 630 3842 a(Natur) m(e) k(Neur) l(oscience) p FH(,) g(5\(1) n(1\),) g (1226) n(-123) n(5) h(\(20) n(02\).) 450 3966 y([15]) 40 b(T) -7 b(odo) n(ro) o(v) i(,) 29 b(E.) g(Optimal) f(feed) n(back) g (contro) n(l) h(under) e(signal-de) n(penden) n(t) i(noise:) 42 b(Metho) n(dolog) n(y) 630 4058 y(for) 23 b(modeling) g(biolog) n(ical) i(mo) o(v) m(ement.) p FE 23 w(Neur) o(al) g(Computa) n(tion) p FH(,) g(und) n(er) g(re) n(vie) n(w) -7 b(.) 25 b(A) -6 b(v) n(ailab) n(le) 25 b(at) 630 4149 y(http://cog) n(sci.ucsd.ed) n (u/\230todo) n(ro) o(v) -5 b(.) 19 b(\(20) n(02\).) 450 4274 y([16]) 40 b(Scholz,) 28 b(J.P) -9 b(.) 28 b(&) f(Schoner) -5 b(,) 29 b(G.) f(The) f(unco) n(ntrolled) f(manifo) n(ld) i(conce) n (pt:) 40 b(Identif) n(ying) 27 b(contr) n(ol) 630 4365 y(v) n(ariab) n(les) 21 b(for) f(a) g(function) n(al) h(task.) p FE 20 w(Exp) f(Br) o(ain) g(Res) p FH 20 w(126,) f(289-) n(306) h(\(19) n(99\).) 450 4489 y([17]) 40 b(Uno,) 31 b(Y) -11 b(.,) 31 b(Ka) o(w) o(ato,) g(M.) f(&) f(Suzuki,) i(R.) f(F) o(orm) n(ation) f (and) g(contro) n(l) h(of) f(optimal) f(trajectory) g(in) 630 4581 y(hum) n(an) 19 b(multijoin) n(t) g(arm) f(mo) o(v) o(e) n(ment:) 24 b(Minimum) 17 b(torqu) n(e-chang) n(e) i(mode) n(l.) p FE 19 w(Biolo) o(gica) n(l) g(Cyber) n(-) 630 4672 y(netics) p FH 20 w(61,) h(89-) n(101) g(\(19) n(89\).) 450 4797 y([18]) 40 b(Santello,) 20 b(M.) h(&) g(Soechtin) n(g,) g(J.F) -7 b(.) 22 b(F) o(orce) e(syner) o(g) n(ies) h(for) f(multi\002nger) n(ed) h(graspin) n(g.) p FE 21 w(Exp) f(Br) o(ain) 630 4888 y(Res) p FH 20 w(133,) g(457) n(-67) f(\(2000) n(\).) p 90 rotate dyy eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF