From 8a8bfb8d36cf5c9f7681b9e7f5d7876a4ba0f5a0 Mon Sep 17 00:00:00 2001 From: Chris R Date: Mon, 19 Oct 2026 18:14:55 +1100 Subject: [PATCH] Close stationary simultaneous-frame loophole on staged544 --- .../staged544-stationary-pairs/.gitattributes | 1 + .../staged544-stationary-pairs/.gitignore | 2 + .../CHECKS-base.json | 275 + .../CHECKS-extra.json | 275 + research/staged544-stationary-pairs/PROOF.md | 152 + research/staged544-stationary-pairs/README.md | 105 + .../RESULT-base.json | 24410 ++++++++++++++++ .../RESULT-extra.json | 24410 ++++++++++++++++ .../staged544-stationary-pairs/SOURCES.json | 68 + research/staged544-stationary-pairs/TASK.json | 96 + .../VALIDATION.json | 40 + .../staged544-stationary-pairs/VERIFY.json | 28 + .../inputs/BORROW-WORD-43base.json.gz | Bin 0 -> 72769 bytes .../inputs/BORROW-WORD-43extra.json.gz | Bin 0 -> 72766 bytes research/staged544-stationary-pairs/pairs.py | 143 + .../test_controls.py | 86 + .../vendor/SOURCE-CREDITS.md | 14 + .../vendor/audit_core.py | 480 + .../vendor/audit_verify.py | 254 + .../vendor/retiming.py | 269 + research/staged544-stationary-pairs/verify.py | 74 + 21 files changed, 51182 insertions(+) create mode 100644 research/staged544-stationary-pairs/.gitattributes create mode 100644 research/staged544-stationary-pairs/.gitignore create mode 100644 research/staged544-stationary-pairs/CHECKS-base.json create mode 100644 research/staged544-stationary-pairs/CHECKS-extra.json create mode 100644 research/staged544-stationary-pairs/PROOF.md create mode 100644 research/staged544-stationary-pairs/README.md create mode 100644 research/staged544-stationary-pairs/RESULT-base.json create mode 100644 research/staged544-stationary-pairs/RESULT-extra.json create mode 100644 research/staged544-stationary-pairs/SOURCES.json create mode 100644 research/staged544-stationary-pairs/TASK.json create mode 100644 research/staged544-stationary-pairs/VALIDATION.json create mode 100644 research/staged544-stationary-pairs/VERIFY.json create mode 100644 research/staged544-stationary-pairs/inputs/BORROW-WORD-43base.json.gz create mode 100644 research/staged544-stationary-pairs/inputs/BORROW-WORD-43extra.json.gz create mode 100644 research/staged544-stationary-pairs/pairs.py create mode 100644 research/staged544-stationary-pairs/test_controls.py create mode 100644 research/staged544-stationary-pairs/vendor/SOURCE-CREDITS.md create mode 100644 research/staged544-stationary-pairs/vendor/audit_core.py create mode 100644 research/staged544-stationary-pairs/vendor/audit_verify.py create mode 100644 research/staged544-stationary-pairs/vendor/retiming.py create mode 100644 research/staged544-stationary-pairs/verify.py diff --git a/research/staged544-stationary-pairs/.gitattributes b/research/staged544-stationary-pairs/.gitattributes new file mode 100644 index 0000000000..fa1385d99a --- /dev/null +++ b/research/staged544-stationary-pairs/.gitattributes @@ -0,0 +1 @@ +* -text diff --git a/research/staged544-stationary-pairs/.gitignore b/research/staged544-stationary-pairs/.gitignore new file mode 100644 index 0000000000..7a60b85e14 --- /dev/null +++ b/research/staged544-stationary-pairs/.gitignore @@ -0,0 +1,2 @@ +__pycache__/ +*.pyc diff --git a/research/staged544-stationary-pairs/CHECKS-base.json b/research/staged544-stationary-pairs/CHECKS-base.json new file mode 100644 index 0000000000..8a39a8992b --- /dev/null +++ b/research/staged544-stationary-pairs/CHECKS-base.json @@ -0,0 +1,275 @@ +{ + "baseline_semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + }, + "edited_whole_words": [ + { + "addresses": [ + [ + "A", + 1794 + ], + [ + "B", + 698 + ] + ], + "frames": [ + [ + 85, + 414 + ], + [ + 7, + 17, + 67, + 392 + ] + ], + "profile": { + "1": 2444, + "2": 726, + "3": 222, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "A", + 1807 + ], + [ + "A", + 1810 + ] + ], + "frames": [ + [ + 120, + 435 + ], + [ + 120, + 435 + ] + ], + "profile": { + "1": 2446, + "2": 722, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "B", + 362 + ], + [ + "B", + 366 + ] + ], + "frames": [ + [ + 11, + 18, + 38, + 455 + ], + [ + 2, + 9, + 16, + 36, + 453 + ] + ], + "profile": { + "1": 2439, + "2": 726, + "3": 225, + "4": 101, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "restore", + 164 + ], + [ + "restore", + 165 + ] + ], + "frames": [ + [ + 1, + 4, + 10, + 16, + 34, + 64, + 128, + 256 + ], + [ + 1, + 4, + 10, + 16, + 34, + 64, + 128, + 256 + ] + ], + "profile": { + "1": 2442, + "2": 724, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + } + ], + "ledger": { + "recursive_profile": { + "1": 2440, + "2": 725, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "children": 3519, + "rank_mass": 5134, + "helper_widths": { + "4": 26, + "5": 2, + "6": 18, + "7": 53, + "8": 96, + "9": 213 + }, + "helper_roles": 408, + "dirty_buffers": 91, + "live_inputs": 632, + "native_warps": 72, + "initial_corrections": 36, + "primitive_inventory": { + "precondition": { + "add": 136, + "scale": 56 + }, + "compensation": { + "add": 5736 + }, + "A": { + "add": 3557, + "scale": 498, + "warp": 24 + }, + "cut": { + "add": 176 + }, + "B": { + "add": 1796, + "scale": 73 + }, + "restore": { + "add": 196, + "scale": 16 + }, + "cleanup": { + "add": 4633, + "scale": 519, + "warp": 72 + } + }, + "scalar_numerator_bits": 4, + "scalar_denominator_bits": 4, + "added_gates_helpers_buffers": 0, + "proved": [ + "All final paired frames and fixed boundaries by exact subspace enumeration; every paired local invoice", + "Arbitrary-dirty operator and cleanup unchanged for every frame-only edit by identical semantic fields", + "Complete exact free-operator baseline plus four edited whole-word controls per provider" + ], + "unknown": [ + "Fresh native Gaussian/Clifford phase implementation", + "Physical allocation/hosting and owner chronology", + "Uniform precision, stock and tape tariffs", + "All-size compiler and outer/supplier admission", + "Analytic and BIT assumptions" + ], + "unknown_costs_are_zero": false, + "new_supplier_or_kappa": false + } +} diff --git a/research/staged544-stationary-pairs/CHECKS-extra.json b/research/staged544-stationary-pairs/CHECKS-extra.json new file mode 100644 index 0000000000..8a39a8992b --- /dev/null +++ b/research/staged544-stationary-pairs/CHECKS-extra.json @@ -0,0 +1,275 @@ +{ + "baseline_semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + }, + "edited_whole_words": [ + { + "addresses": [ + [ + "A", + 1794 + ], + [ + "B", + 698 + ] + ], + "frames": [ + [ + 85, + 414 + ], + [ + 7, + 17, + 67, + 392 + ] + ], + "profile": { + "1": 2444, + "2": 726, + "3": 222, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "A", + 1807 + ], + [ + "A", + 1810 + ] + ], + "frames": [ + [ + 120, + 435 + ], + [ + 120, + 435 + ] + ], + "profile": { + "1": 2446, + "2": 722, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "B", + 362 + ], + [ + "B", + 366 + ] + ], + "frames": [ + [ + 11, + 18, + 38, + 455 + ], + [ + 2, + 9, + 16, + 36, + 453 + ] + ], + "profile": { + "1": 2439, + "2": 726, + "3": 225, + "4": 101, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + }, + { + "addresses": [ + [ + "restore", + 164 + ], + [ + "restore", + 165 + ] + ], + "frames": [ + [ + 1, + 4, + 10, + 16, + 34, + 64, + 128, + 256 + ], + [ + 1, + 4, + 10, + 16, + 34, + 64, + 128, + 256 + ] + ], + "profile": { + "1": 2442, + "2": 724, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "semantics": { + "live_inputs": 632, + "dirty_buffers": 91, + "matrix_dimension": 723, + "forward": "PASS", + "dual": "PASS", + "reverse_pullback_equals_forward": true, + "cleanup_boundary_forward_and_reverse": "PASS", + "buffer_to_live_leaks": 0, + "buffer_self_map": "identity", + "nonzero_endpoint_terms": 835 + } + } + ], + "ledger": { + "recursive_profile": { + "1": 2440, + "2": 725, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "children": 3519, + "rank_mass": 5134, + "helper_widths": { + "4": 26, + "5": 2, + "6": 18, + "7": 53, + "8": 96, + "9": 213 + }, + "helper_roles": 408, + "dirty_buffers": 91, + "live_inputs": 632, + "native_warps": 72, + "initial_corrections": 36, + "primitive_inventory": { + "precondition": { + "add": 136, + "scale": 56 + }, + "compensation": { + "add": 5736 + }, + "A": { + "add": 3557, + "scale": 498, + "warp": 24 + }, + "cut": { + "add": 176 + }, + "B": { + "add": 1796, + "scale": 73 + }, + "restore": { + "add": 196, + "scale": 16 + }, + "cleanup": { + "add": 4633, + "scale": 519, + "warp": 72 + } + }, + "scalar_numerator_bits": 4, + "scalar_denominator_bits": 4, + "added_gates_helpers_buffers": 0, + "proved": [ + "All final paired frames and fixed boundaries by exact subspace enumeration; every paired local invoice", + "Arbitrary-dirty operator and cleanup unchanged for every frame-only edit by identical semantic fields", + "Complete exact free-operator baseline plus four edited whole-word controls per provider" + ], + "unknown": [ + "Fresh native Gaussian/Clifford phase implementation", + "Physical allocation/hosting and owner chronology", + "Uniform precision, stock and tape tariffs", + "All-size compiler and outer/supplier admission", + "Analytic and BIT assumptions" + ], + "unknown_costs_are_zero": false, + "new_supplier_or_kappa": false + } +} diff --git a/research/staged544-stationary-pairs/PROOF.md b/research/staged544-stationary-pairs/PROOF.md new file mode 100644 index 0000000000..e12c0b5d15 --- /dev/null +++ b/research/staged544-stationary-pairs/PROOF.md @@ -0,0 +1,152 @@ +# Stationary two-frame compatibility on the pinned staged544 words + +This is a source-bound finite theorem, not a general property of framed circuits. +On each immutable PR3734 provider, hold all scalar operators and their order, +all native maps and frames, every other scalar frame, cuts, entrance/terminal +frames, helper identities, and the caller fixed. Choose at most two distinct +ADD addresses, and simultaneously replace their common binary frames. Require +the resulting whole framed word to be legal. Then at least one of the two +single-frame replacements gives a legal intermediate word. The complete local +recursive moment cannot decrease for any real `0BR5+nm^TZst4Z-nyx-{iCb9Dz(>I z&wB7SaRdy=zdx|g`HnHP^KvB0hwm0=YGxPB79%zpC&C&$bqGI3NCMiuVr`j16}Nv~ z?yD9rT1tb#k^*W`J|DY2ihsTT{`L84@Ok)ov-Q#Rd2bL>bItVk@$&PRY9S$taIciu-UmGARq~Fw-ZORN$GJ0@Kjt?q1oCi06k&h80%{s;WmdQN z2r+l%LLKk#z1oa_X&-*X`g+&kM#8}P^T?3lJrdV+VXB+DD~}Kd&2;Hi3sw8~`x}WV zp?uT45i$~!U$<`&*^1*P*x~yioCMh)P3v{y%F%>T_yOx~@=m@t*y1LgJ)w|B1K8;bE9ci zW)t<(QW5QiN!D*IhdNp-BqHxY? z2GMNeqp+b&R_xSLk{rsW@iqC?3kJgLNq0u|@J)S!i^2UFVSrdmy{C8}uU0tgS5_?T zJ-ACwMnxZi`+Z#`A&&n`Av+1T}+(VtTR)-%=`X?OI` zb%WoBITrOgv%3u&jIY|cJ9cp616;#;umZ>{`Sfv+uqdI@S8norw8=8^aO@tRR2pLh z%|8E}5MIzG$rsiZztNeTbl9jpYpBuN+viBX5*ZvIMhAl_oK2rHogna#c|>pdOo`#W-N?O|c2f?*fS+?FKo z0>Tt+<){epICu6yFE~+V!<}BE?_Asv`PIEr1Vy_#%Ma*?9x8~}wu>zYML51)YZ4WU z%9{qu%>dqy`oQh59ds^{t1uhV0T8EJYZ#ym16H5+kL{E)jZ#K)#9>%5ZFJsed_GS` zz>{ea=Q6N?FMq?4_#Nb$dkx^Xf#&m#@e19mA->88Aross%Trtl=-Q@;mXB&yTETp*-x|)!U=$P!MQvJ zxeGP*ojZ69ev!pf#NI*Gx<{_!oRdC=0(Ec_Yx}HSnhZyqL)JunUy$m36MIi!aWcy= z=>>Ydd~EcbjdWt(g+OB4y(jqQ4f5-MHK`OX>2$}Or%cr{pkk4L!X8jWNA5c(;Ba?N zWR=ru?>3fUhPGrjD`q2kOv&(v0r~ly1=9o9Ko$`Jw{F-xpj+{yLoLmthDz511UIt% z9^12qRFiZH*Qbg^*~f4b^tL|45U&7f{DG~LIuiD2H$@X+WV2tA_c z;MbUM*ZTzUYjR$uV)xC+xhhIm+D)DgnXJ-~-U1BoTlq z7B#vMhln4#h?mQ#U-$GR>qiAigvn(pOM={ZfRM#|8O)pG=8v!Y8a6Uj&`n-`z-HL+ z;N^uv6=ck~dC=k%&RsvpDPT}U3j@TlB~6Kr4W%L^1x1JT`0Pi*=BY7gw@d$_#@ey%yHgXtj zNMXCYhB31Eohm47DCBQAyOUZoNxDwsP}N<-X3E5xQY5De&!`!?ZsgG0kfP#8ryGU6 zpiz-MXB92UPjM?6QEvFy>Ja{X})zEIvSBA$|pfDK&%@Dh<@%#$3HDyQBEQ=+uI7 z(<^$|qC&hGoj!Oj2?NHh+9Rf{Wn#*32o)xqMZ%4Q95YcCZw0h!7xB05m>78X8RGb| zp6Hb{5Qg$uq;|Sb`brurqC1Oz6U4#r%C@AXw^*Laf9swLgB+t(#Zb&=P zW{vII7s_XXt|6XmXf93|Uj`_AD3hK{vSt+s=mn|+KJkG%T+-$i3P__hnDY6oUc~G` z7r2h3t0G`T`7jM|2Sc=J$l|7-he=8gDu$=}+z?&JA!MgqAN($;P+AR-*M`uSABtDE z33Fcl7{xM)rk|GIGd4oBBm<`#X$_GJ~j3FLUsBD<2wF8+$;4seMRFt-1IW5U9c`n+t z#0I@7yELIKN5r@Lw|@pj!>!A>+r)#PQgA)46YeKHO!2m+dTF)jsRCkR_V40WC!!@< z{er%`x2UunKYKxC?@0Se_9ySck}QYCoH0m^PF!nH$s$8S$m0FXNBQ|wr(PNeiZHAl3e-lP?SiZy}a*9~CL1 z+*GecJv3elum(d=yo1Y^oS1mT-h1N1R9%B-J8AmorBgb{@?13&%mp365%yMS`+?qs z8PikXwpUMU3msYt6EjmE4MZO+0D-d0ldKmOr4KQDzNJkBb~|jDo~*qZ&VBP8J$FN* zP+ZtbSxFniAp#7b+|2+7oyaFNvXcd_ZSi$abs59VV*n|Lpb|lW_$?kc!$56F0FFQu zX^21OWu;Qd^%e9!Za@M?%`v&@1K%4I#CkJ`O5Q_)p&^N`8~3nAlYAKn)xb|061hgN1TKo?|M#H z`)Tu(c~2%YZ@lVFHxEb|1<@=~yh_9k?wlG2`z^-6L=`zhB$vc)`$+UpP8oiwKc@W3JqW&bGyF1bgUB3Lh$P=OK5&^qh+6 zuKI6)ex^|<9*N9vkbpekoZ&=5B8P7acccXXWN-zE^_L@2)|uBQ4RleTRILT)z9t9( zuH*OD1jUq7Qv*>kL?6E8ip5;b8`MErZ;$$NKDDg`(&SlZAsMnLjWWF<@?V&1RAGQ8Nvwm?g`vAEsttX%>fS z8s5gjrHc?fy)B{d52wk(O(zTF4Hm6rx|o@`&fycx9et*?7%Uq|{hVo-jl3k?Tfp2B zl|cM4!U(`rH~BH2QjLeMZsKpl3{r=ckT+0Z$t=uZOzm_}0qN5NHL3 zF{zC}9Y+FIw@>2uomJd{ai>BWwEXuKrL*R`15{^On3vY`r|eQOe<%CF1zXb54SgU! z!lCC+uJrHi52;LCpvuG6Gx^#e%hAH3tAwspAhAGz)=@o1b+aXyN zM|b~V6B=u)e|AzZWnr$gm1QrYd~+@=CtHtNKP4Lq!#cKbzC4_6hc)>ywuZ$;Ts%h6 z^^?pO>ha<&a{KcJ_cJVLGlf1PgAwy?|1P8uZk}Qn!*GLSUyj>?{EF595^N2?wmCYEj^E8W*SF5?F;UhJ` z5MsiyZAT#mLjTW1U7GKRuO=Y=G$!m$TFx0jJBWjie4*I~C?I!{eHL=d6Ji`BF0gsy zw$pGSQ>cl%-IgyHU1JgUR;Y7-V|*mq$go_TDQp3GFm_o%>rDVdhFdpjL<&F*ID{o1 zhlYxGPyibN^QZ<(e$9;Kqu!?qZY%FLyH|4({N+v?Mapc1P0Dp2r>F@ELSRn;qq85J zH;QT0P8QilyFM8%d>6K(WUviDSC8B=m%pW;L+Ea)xaCE6*+chBT5Ty*wnEK|LEBu# z5ahT!=H)thYww#K)-u>G$wl{HY47fgIEU{^0BgcTx`SUm3#1)0RjFx*(j97YWG zL!GifA#yaqaJqo4LU64@xc^z#r?+#hdsw68&UGk~6%#p~#h*6YKC4vBHcx}-+MJ8T zIlmLk(;V&&4NbN#A)N0D$7h&~&TYODg;C6u*`$oeeM(?!rFjT4$&>9yQ|=6+fJ4B{ zC6y%)iqpy@Rv&WZUYC=$TavO{;&R*`XIx2jalC>*G`CoChOJiXw*y8X_!BYj-Ego8HwlHnMk##nM9EC=5&Y)z8Q`k6-y6|-w z3r+C~R7t{p5r+S`qDW)nUnoEHfJ0KkLk50X93*NIkKeP#P5~n{I`Dy>kl)Mf<;+t1A`!ltMdJ&F3B>3n%G2f<`Xft+F`G{;Z2J{VhG6F7= z8E!#hIE;QRuc7;oZPZ$ZR2q_HW_P05pPRFFfwx5gkPtSiBZ8nK2_gW@FQucbzV$7; zOEPJYE0#B;4W<{dFAfYO1y4o>g+mfiJc&v?r2r;DE@(}fIW%kYLdx)We9)Deff8tR zI{SoWITOfX<7CeU#S9b#U4yf1-7J~Vl)T6>qC`a!zc{rhA-Is zg{!E8b%~9VLG`^1fd?KD_IXU{f;vmH!`SuV3xloM!ttW=Bmx%xaS{DI(5HSrtq6%3 zvO7L%rD9u`4CBHaVf3F%j@c9bye1DnO7{I+ebtR2fCyRGfU<5yO+*^b-ZkIQ;vFy{ zI;u@EaxVDzn5z9mK7?;0dHY7xxEK`t0arQQnP5#R6@J_CseawJv7HBBq-Im)()bG`r?Ms5Ghr#cnox7G(e+h z{{K)ipDB}*hxU2EE)&{V{mU1z%piB@{?d*LH@2MuFnYLTtD>f6bvY@&ygB z6V=7HXN>t)@M;RTSb-t<(NKh5;;yEv^X{~Ck6{%^Y*G|m&1#xa(#j^i)^eIru-|7u z#PkL z|K-c4J|eiL#OuxfV=7H_#8CSX*3mAsn0rK6gO|u`e01+xh?4(Z*FasFe!!JlgstmH zH`_n&rL+xy-pwjXrga}~bWT(l2NQrn>rxW*r_*%)rPRixQjsQ60dt@{PoMVWhggN$ zL=fzWtcN%3ykwR4^8@ULj-S;og@-oKYha919|kvj1{7W*k`D2T0gWaqREZdyAqYyf z9lOjeKyDWyZjgHW3WFKZUME%O{e>jdU6TP0KfNw+ z`_7dSJKGs~I>9SQj-*EpqXw4y0>Bt6I(r&5BvMaEo9mka;wnVMiNP?VIl6W7xma)J z2(&*E2%7@cMZ;#9bevuMBt9u2sHeFggt9eB!;^i`y(sM)$eqIJOP3;I)qk-rMgnHO6@GvU=?0T0Jmeh>na+$(GF>Hapj5%i6=lf1|_)SJ`Wg2=~>CM;ig zZ4lJ1V8T+ek&%lJT03n6A-PgCE8l7DbQVoIAS>96aGiWsi_$$@#x@npR!{C{8Fg^7 z-AJkV*@$QxaC>;3wex-_l#OrDrf0^Bd{3tb^%x2re?bBJA>%ZVux5u4*KgCubn|yeOPOC56=~!%?X-~gi zvoce3cAabbeidyxQgU9Kb-8CVa8{hX0n+@@tNUT1&KVv5x8K`4g|GLK+2;3&9(>=6 zJh3@)VSLeVMmwaT;^*1Qbb{oJ=7}+Fkry^2YmE1CJIrlNDs*G&7d)D5j!pYsiR zu~X{@n@jiYYC4Ye2{Gl--{-^T#;fNQy#RaHOYu+hkR@V<-&nOext+r`$4O&=VEbj; ziEO=Vk4gh{+osP(_sY{p7|#a*|6TYdB9rjX^P1#%u6#)@2{JjW5iR5h@YfvD(ULapaXjAj2mvOrV^ONd@nF(*U{R}sE@I}C?y1qs z4#*XwE{W9cMeZwbe&jLli;SWZJEs0k1`?geSrFD;FrCRXn^~w{RXtaONICH9A19_n zHRd=tV8x%>Rp#tn*>9%DeDHLuND13p+j}mN2$h`s< z8?PLTrGZZE;#9Z@X|zWi_g3G^WU{#TGxIetfIUHnh)v0X_3wTOdd@6UA{N+Q586hz zEV3InVkjR)X~p92iAZ!i*PcY?`37qOOrKifcHaDM-iA6(ok8JSJ^5};_d4mC>ht@| zI^?5`F|{U$tD@ah^==w){4%* z0OxUT5;|{M{sF$EiOt5`Zth{fZk_t5@2#E?Yo}`bP|zx5Z(B?8dS`6i_@l?6(MH@J z!dSkIF(E=-er~F`D1C3O+?tbt)5d)LZX&~~OTLU&T5xDBvm@KnQ_zjKC4ZNGjkOzhE)vo5{05udGYtFhJ5{*6j!;Df2HG37k|K{{CvdEk7S zqYd%1Zfdg}zD=d?LDxvuR=-2za%yKh9w&_H5fPhb0GVAcG7U8jSU+_={rKfgMhrE1 z|Hh?t!pqC3Dt$d9D22nzYrZOV<3&`XK#YsQYbSnLR?q>%XY%J`<>Y%1Hr$6y?J0;% z17J1m{MVl`?bn&!u&vwL33qws|I>uuRQ*}V2ZD-x{=ui5VOYfdAL>WW9*Y}o@3x%j zgyKoCDd))X*68_+!!Hmm#8vE(<_})RB$zjV(mBDwE6GT9a_n8@2&QhXYQk@Ac;}k` zM%kn+EREA^`Gd5}@x#fNvyYGod+$O7Y#^X((<8_5#IeAW(mg{IeenvXlmJ?n2Y1VT z6t;g5s{=2v7jAIy@pUK=$hW9t#0|U5(K59>oxWm;H!?45W$}%o58xIXpOU+$CYdI# zITYR;ksO`enlsXxK8US9GOOBxOqxrvon!ur z@<5u(iU-bb*OXe;(Zxn}n2)l8mlD+*(G_kCGYhqZeb?XG(s#)}uZWdzXE8H&*?tK|s#ht1~C>6rMzx z)o%}lBgao{TC1)RbFIQ{GOJ##fEtOJsnszv&$?B9=#cyGhifwCZszp{Ku(+K*0lFp zUIMnW@G%cnuhk%1%7P6b?Rlfhyxx2ZjQ69pxEikUbIk)%ub6A{R%Mcp|YGjX{7s^*3`2 zdey@y&L1w+@fQ-b44?8aN;!@WzFB1G&PrEIJA6SRv$bAhhj>%)@0CUQ60*tt(Gffw1hFIZ}6Hggy0tZuia7-WRoSR zQyjfMjwI{m#lWJt&01fK{p~TiNFQ0G529A*>?w^+&{RcAcSxcLN+RWoBWhH=IUB7} z3${YjsfURu)FG?xqR9ZNLwp_dJ6$b|yU1U&>QV(iC!(sB(r2WybFEMpI|BT^x1>6P z@QY4PN}+KSYKZ?R+JEKVAWlFuzi6XUgLKWLCSE~n+r%GJfmUY_d@`EfU$O>FC1KB< z+QbFD7R)R|VW|lqSE{#;aHw`4@l0dJt5MvO8>9#S#!x@(_0CzEJqSR~n2krZdR?)# z(d|{BFjeZ17yi!iE>5AS15~?WY6#IfO&b1aPkRXK17O(eu-NO>+$yDdEI00x{Q4oE zFmN8}K_^2|Q`R$g5FGTv`R$oft2EkbR((^EFcVlRyB4j`=O1`qTj%rYM`>#{-nn3a zAqs3Nl%A7|hS-dw=Wdu-N;vkZNO^~-#|JxRJo_tX4%}nXQrI}|ySqk)s?aNSV~CV) zlR0_Iou9?HEu6V{Vl!KHP2Y&03&FkK%P5Jvt83c8Y1+VR+Bo;>tgr%F$h|^xwIFjm zAHrX`gVfM*v>o5MWOGoYkBr#!7-<)Zm11xMF@b~XC zy4Ei2Y3K>jr#v1V`NH)%frCm&9e5ec>xXn2L$W28arM{?!Dtvh9(o>g|4~r6FA7TCuXZZ3`Z9r|T2O>3fJnRZUA?e$o4DJT zEGkTt!ZOxHg3}`vEI%8SF_tZuM;7nGH%`PEzzHV#4Y7MNXV912nfZf;riP8@G=+B0 zAvOdhw~!k{im2mK2=}tiOhOP6a@Gm>S~RUpFzV;pu;zs(>kJ;VKB{U+uF`G`xq1y^ z6X}@?W3*<1g(iCoAN9G&nzuWSVZR0A(p>Dn%1geL0K2(4VvN!?sDU@{211$zYGXkk zRqNvrnpcD*%4;G`q_fp%7?3*e*m=v}l5t$3mN*8NU z>hARVU)x`9`)m6@aP(HjuWQv+8sxpEhp&SAtU+^Jwx$CWpLu{Ac8qoCKedz-4p;G> z)icKU*?{aBn_4CdsQ788MJs=pBBT}Ko>i(&F&pG#)*d``eAG`?qC($-LOHhpTg7dS zw>a-i=Uz&ArvGN3`6o;^K(U;u4At8KG9qBZ*6L`**a(mUEh6y z7TN~MXB)i@B}aYn{6tn~@pAwwP@ zAE8#x9#_&`du&5SDx+_jMf8qkpgxIEzxMx~z?bi}_vRR zT+i^Jk4lWzg&J16a3SH@IY2RKRvoJPJk%HL2Xn}xq(vxn4aKcj-zP#_g!UXjU+6eZ z@|zffF>ZI7wbR`F_JrrOViC4wf?P$<(x)!ur*M-Sf; zomH?xHAP*^&A1MRa`2sOZQ`_+8fGwiyG2?)rln(RQ=zk8Zpiu}^eLeXt3qdrYxb2| ziWhRo{OWY}D3Jhid*0-QTi87mMZG*CfPa?6yl$envs_iymv6K;zT^yz-f~@t?ZF-v z+6KIM2|^pkn^Cw1pw!dyfR)|m5Y3)i&h;lFHkl0+SGuTMBsAjfYy6-( zj*_vY&-S4iK2H6&^9@YiBp&5z&h{WAM(2kBWp8Ti^2yZ=#})KTqQ=+(#qx;o_x4ib z^0lgjbGkZ?g06QBDjN;wM`h`emIKcG(oVRU~PF?}+(;SY^C-E<0!6Mq`cuNL|&^{&Gy5L2QQCKshJMtvzK?zze} zg2jy9O02ps>7R5r*R-M8w58LuW$WF^VEqq8F`p2KZEvPDwy%ASf7>p`KV4a=)TU-M zdX~Re&bbMM32vU>56w1Yo?(^Q*V=jv*#|Fm^s%qm-FR#opr6G+RJJ#3sdT1)TuWI* z1yfsOBr~^lnW|*%siL?jmFTyEqOyr`4>iy)fZrC79y!djq}?M4d2m9RJaISTRn3KP zT=Uwa2s@%KRM|pDsxaSqs3RKTEkj2#ohh_q**#BCYyLsnePD^k-@@5XE11nHtrNdzRmtj zXo2u@d3Y=h429Ml=6OvezB4n@E{40OqsFeKOVfLfu3wZ`ie!^qD|=@ z5v^O*a}%65V7E6}@d{P<8>IxiM%MZPg*DcC^uUdv=a933TvL^4q&05uRaiN|;Ox@;K z`ph5IZ8$FrfV9F=2b_q2a+4(~V{+12;KGkyk@`k%(YK{Km({(d+H3O0H!jgPnfXgi zStoExkCuVneUnmAcsT%z9Hoau+r$ii5k?r*X0^y;npcheqSF*o zfz;QzCfdYO`mz!ob_+ifGBc3gF2DEl(&fS;3t22T{T};=z18CQ>R{zx6a(6$K7c$o8aBg!1zI_#_3`9gLul3)7A@6z%g zuTk2$1gwdQ9Udab^4(B`hmNrHp;xc|3HeOvO`N7qF)O?VC7XwTfEpzVcIQ%AS*e>- zycGxni5CDrjlI$GQb6_N>|d{*CjLrC< zw&4d4C&XB&BX=;1bPX`a8G+2&%CPI*QXjO#NAS5*ilb@43OX!wKDFkMZQeu`8Fkgr zaBxA$;^RpFLq5yeLw6R+&KIgZ!>oJ#CFqZQ?~{kzCIUDnG2*Tnkkc~sGA>{C@TfqR zvdq(Bci5SK!5U}_H$McK_a+<7BZBy~oiNpb9BV>X0fOW%INFna4OWS)N(L(ge@+i_ zWZL?PzAFF?&R&7k1_)ek>&3H~3~0`zUdP)!Sr->cCZ(8_48$;Sjq(;L#%kj7J}32f zUuarKa(?Ps4{JC^xlfV)CdaRC@nvQT2Pf{y8SrwlJ<`02b6|p&Xj7qe%O~< z4c#^?^QqADKBa{WulH2ykvu0@r_ozkOz|pPO1N5?(X_+q>YUq4z14kNMx0>#IkD?= zY|)U`7{k=&LzIkGo}78!hP)T>@>8_$wZb+37W$Q{Z0%$+^jQa$i|E&62~9I4t^uvN z;QJYy#s4#;7Wya1A6DJ&mzZrdPBvir(8uqM9+YUUZkK;^6z|P>SuM#c$SQDOSX()t zw2t733p!UVT~5Sf-$eWWeX7k^$)q@6+ME!nuQcy^h^9hnGp<{a!zlDxiMFLI+SsH$ ze^7tazq1FrzaKkUk+xx;L=dFwTdg1^<7?M#U{)Qzu=fC8FGZwb=W6rrn_~UvP$<-# z;lWPqdlTms;mC;CEgBKQ$*e-X=6{2S2lDU!K>3^0@Ddz>iz*>HJyCUXhL55knz)2c zOZEsY=V6FOPCcM_5C4Ez@OXlf7kaYlnVv)VPaDmT?0G*p{W;y2D3$*NMWCKd;Zh~b zD#up)Un2@MDW^H}rIGT-)&C^`qfAG(02i|7d^3aJ&9A>yQrjIzo=%>Vmsy^80`M-O z0$bzSHJGYco~VZZ0jB$0bf_ zaqb(}Z@M`PS9{9IysC7d(?91f7cBo%*s!A3C%Q^xUTn3*ulQl1*1$*!+#>7&@Cv$! zTF*RBvAtrev8S$Y-Ux;!5|OnLnH!3vzM9Hn*ylxkPo?!ndCNyE==eSdjW6{sl3!va zsBlJAdKGl?mIJmawSqi1i(UFn9a8>|ejfQLdU#q^r&Tv0@u7a3itpN$3F4VGkDx*)k9-%NtsBBx(Ea*c z;OT9=)nns>S>YC=OL}Q%`Q0AwNM)*B6Z4(ZY4OCgj}!0XuC3e8owTOaPp>KN%tTlC zmue`Vc#AciOHe?^4hJ#tqK(~DXX2xK*BF-U4>QTqHcShKm?Ko9$)96n%@NDc-rL|I z0cL!Dwb1SX&L16rtb`yCmEQvIqk@Psn3|tBbmAK}3$?O3`a<(UP8c0DwyJM{8UEDH z^5vU}L>DA{b=5NP|6KbjtQP^b**KN7dzWK|kAJKGx>*U9hi_>~G%o(15mh3$8jvpv z+nSV|S-SKez(PYG$tt>0aug7a^C=NcwRg`@pU7E6zQRRT?&y$>dE=U8Lc+#Kn7-{% zWKPvU0srJ3=^_D5bX>t0>_ZFlC_qb5GeD4*%1u*U);BvT z-c{fII z|Fb%ca;$;%ZzeTc_MnX!&2uKa`lvxdLAq&0Gv9=^)GFgfx%wOjEnsQla?iU|ogZQui8le zd%?{~@5a5Q&eF!5k34o^j;O6sX8;@u2-d4vIU~O*jv6-qv3gdz+pwnAQQRZAzIqQm zTKMw}tC-Qr_T^iZ@Mt)}9-<(L_#vvFaMD=w^-6A0-qDrK;eVdpBblfD6Ku zWO~NrCbl|}M0epf5PcXpQfi7|HnAzvw7P z2H)ENElow=1x(n=%NK*(TV0a`@xE!c&*Z+jm%Dm6{Ne?m^?7-_!x;8je!zg4Fblm( z9wmm}V1QDh8`WPWr%U{7^u=lxeKmO}Wy4Q=7+onUoo`Wp=ar>8lr$FISX08rr6o7C zT=ff4C^ztDboG}H%h%T>v@wOEIkbfF34}jbHs<@KG}St+-^Aw;qU(l{Jz~6y4z>P)g3PPMU}UEGXU(TA=g?% z9w*p^ygc4BGT*(xCSf)a{Rao|Wm}1h=j*K*K-iN8SBu>mPpxs)?$r9ij z{tb=xl{@*>2dapw{r0D(srTmJdEAsRAgWM7!Pr+)jQ18xFP3D)L=fL!P;k(Qfu#*D zRA0LhjY^HEKQv<0>~#`dIQRsC!YGl86sC}(`ilSI*dNlBtCjZl9OB$hRTggSC3-}n z6n({eZM@@%ZjW?zE|~23ot0I@?%Un&ajR6l^S0EL5PKnLhWpGc%wf{P`8hnAkYOT(An$3Jbo zqij9}VZWk$G|VcTsVp|YCRxuZX~D+7^dlRY;%s<{rAG(2@7Xb^0d=qpNjYz1gSzOl z*Qf30;>x7$OW~K!uk1|ex@@#6c%abPc3lDbSa4kG+rfRL`=ffIspT3~^lsdyP%W}# z>6|){04TwsVtJDZ#r|cM+EFT>9#Nl#!%q;IlfyDBc`5)W!iFrzB)*iCXG6}WX!+!o z24;f=_HGd#(ZFGAlh(+gf!aLQy7L<9VausA6;#~pVewjt!ls(#g2cIzRU{lWgh74 zm9BYSbZkCx26!zZd$qGxlYaT>(+0lGkOWjT?yU3&+UOB4p5KmL991paId<2`suOd3 zGiYL8qZtPju3RjRH!FW6MCJ2spQzUvtaT388i)bG*S`|c$4bwxFNW+T;y$lf1deUAV^K-dIV&bju1y5V4FT2<4MIOS5uld zfvJs1=%)wcc&jPhHu5Fu8 z1ILFr`}rM_TV}hmAdN;e#{Ag9s%G!M{C*YhUIHUcPhML)!qXx+=qq=6_?J6Tnf{kM zl`Yht2d&&Y>!`UjoRx3&BeN|f9|SmV1u$PwVYd-K_VHCp6T}D}&a=IlvKiPM^kLM` zWj@0PJjbkTa4D!K51BlyKHe`W+x&jnkgBWtn=15`JE=Yt&V1!g|IGZa+^Kj=ZSG*f zHJv@&=V6n6KizfeOhe+)QNE7XWRQvl%lQhODnbQ94-btZEmKW6aC~oY}-R_x`~;jc^`LfybX{Y_==b+v^K0- z1eX$rW-!F!^32)^Qm7D>qtlBZBN02JWc#LB?Hg+6p|xg2>2Z{u{?4BrIQ|*63eCGJ zO8jupn=d7StM`$2Hs^w(gcQ}bLXw@1|F_If=x>6*-BBE&=*WY!fBZ{I2m5o;3a>jm zPs8r+!M}7nGwdG-ni&mNf7*|KO?oZ;2PP`m{HM>II!azg6ipo4U>f&~bA?FpBoH#B zdzuA`w+xR34h?zf?K_w>exRFfRBu7Pr?}2Gb?!Uw4>2stRZGk?5t%Ib^VpE>t3vFKu+ zIM#z{OGi>60XN>ICJSWc_=7=0!8~9L-SOR(tRd3$hbu7YnstN+Z4ow)lRPaIj)u&x z`>$#=Q|$dSz6Wp;a~W#*$es^ia(i;6-4Vt4b2A;Kh|W)0L-AN9?tkYfxyQ=;O%A2DwgX{{?2+D>68 zwH|+_K%*SpS`fYOg{ScWY>qu0XGKjkOinU6vA)*(HRptOkX+&e%dgY>dNrffM~|*I z%afI8*w-NHv#_%k`_~SJ+SidoaAh>sPO^u8+x>h+d-eK%@iXrK!_Vw5{JbDWuxy*T zlOXd1oc=Uxl!f%RZsYBgF9*)KG?@dNy!GPvyW}grqWh_}ijlRBk+qG@<2_o-rp0@s zjm--E^l*XlwOv({-{pO2U7G9=rG}Di?s>B0`q)p;3Zt+#AjIOztE94XYE_K~a zQ!7QtiZylWEqW9knH-4L6;+nCBz+vIwFpGd*|*f2j-xip2@E)RHF4H~9cY;Z!@?k) znG!-N(GR(k$*F=(FDln9sbg_F)gl3D=GdH%PFYu1u?g_mI2OREh@BZjYM@8$o9?wk#A#$k~aB}Srx$cAz?q{ z{L$N1vZ=ciGh-?8IP0Z2=3G%@%oj}Ry#Z}){~^6`sc;M5F!59L-5}=I`_$(P<0oLJ zDKRM5hw`KeZy<_TJ3P=Q9gPOi{5t!cluZR0R$qZT1>B`x07Xw{ySD<|1gJ@ zwxS%EgERl#DH-PNEnyjhQ7Tv$2oR5S)kZxqX8R7}$jXd|9%x9UzGuY#?^p@I-h1?sUsU`WykO& zfSU56?_5exj%f&IV-8Xa%{RetY*GCV^M3$fK%c*Jv$<3@7*qI!Q{w|M z%mIS{rPP%YuIpy+RQ3pSvvDdLh+#fn<>OU8UghJp z=Ad3CDBj&M|9Ge+eu|!<#U!P!a-3p!`&1X5PY5$3$_T?AdNNk%)TbhSvMA4=II>8Z z9m5x**k=e+Xnda>ZNbd#nB^}-^gj1_?4*wA+;jUtR0eqZprn{~O3M3+$ibZJu%$0# z)1ul^<(A^(s_OjnEjFDZqNc><)a)|;8m|NpBD^_i$XPtrOv|$KEhmhqn*RGbG0VE? zyH=_XpHFSMKZKdNDIALMW@j1il+bbAyb3B`*2e?8t?x+W@eMfgs@wWke>D6BCMI2eQY_aT>+Wi(;*6_3UPmc+K$%xt$ileynk)^Ez6tyAuJWcQP z8C`CBT#Ffq0!h!M#riUz8>^+%|E`W}vOHn7R4}}0PiSu`YB2mj?;B()n0va<`93ix z%i5!T36~8nc97~dV9{Rw;#l_>Nt7#x+^eNnqQNeXv+ljBF5>CvUAmTNN7Nb!_a+At zVRnYhx9UI^b$6@@&o?8gfV+>@rBd0JGMm&FGy(Bha`D|&X1k%u}Bi$R) z<0?%r=e2h^#fz)%_P{+kkS_TotKo3N{vl@h$BXp8F>^yej5xks!a z3{y+#Q={^LByW1OXE14dqds3~XntNjix^^hALKk_-LwzVUq7U00QF}T?RhO9%Z&X4 zdvn!Edl8gxzqQMhQLI07bFp0^bor3(16M=U>8q6dc`_TWH76NbL;4St5sW6iHKO z?xL0PLq}>4J)DwXLAJHcjhA?flr{01r?)HzaZ0Hglf`jK*O>9&9&JxZ#wbOyFINr< zD)U*MTQsPNBhwEdyX{0rjA+=_*}ta|6**>iH??TCh%ysVJeHZ`At}rtj!m=$VN*^ZqkEVqVIQ$)?)^hc(R}^vTH+L~YbgnZ znU(Qj+mbk%wT)^@MN`VCsSM3^>Mx%d`t+f_G(uvwyq5I7ypYJZ#HgG%b(D!Ropzb9 zt$68z)X*4P+Q83MP_tfD@dNi1;y6m*+FkRv<}|6)*cQW?@2??uV}OQV?O#u1u8~Yh zpDoyw0``mHBo5Z4XjMP9@fA-R`8C)NN!d1TRm#Y=mZhzcoT0C_P${xfbKb?obOFbx zSvCnZMV2+oabd&TFRfh{s@0ZVy$#I{gk=_eUFMzr#_z#d&zfLj&@&Z~Hnc~83@szt zt1cvG6Q_tOMWTX(NMa_Yg|L6~z>guyoc6fW1gL@A)oY8V;iA&91$M}ue0jmiuo>n) ztMSP*@JU@MbZlZT($nX6KaMK3ucySc8PjoOY8U43Iqvk=4nOiF!S;aW-g%z1?x zgtm@wipzo2a(r87j_=qZa})|5J3${0&JETuPX0ryxlck60{Ca}UZWM1_EeWkybc*0 zQJ?LU`xa|f8AhVhb4S=NRkWC2Eu}-%Qm~Sgy);5tE@#?#-X2qC6AHb1)6U4bofOe{ z*YZ*!(Y?yz%nojngWKST><@lkM-0;q{X;bKfQZa=S}Wv$Af?(7n{Cuj>_uyoysAl`bFgEz-#OdegW&e^0Yg9TfiG zZBod$H<9F_-4v@R8PV06;i4CRA8wP@s9_T#TJGg0hHk?R6XCEi@MAN*wu2aVJAA_( z+{FSrYqkY@ecPCns;&!FOQUO?v*}dc&hMM~ojPQg-knMsX?NeePhxvdL8P|bIH%4t zV=SX>UL-jrOqtqj`Gs07WuewJwYe+bm5hQ=Gh*mBvokZ+@cVQ}M>FZ#G>_&Lx{bxC zRTG6dT}Fyd&5L2)<$K;wOW9(Y8{l|LXQVBJcbk{Q?nh{D&@P=iwC23Vw^?FH*AAUW zz+f)D**;N7H_b)EA-(hQ;C^>{rgjtjA_2S!VeyC}HA{b;F{e%DIg{=`2@-4x^-JYld!j_;^d7px-O! z`3`Ld2WBGb03vBxLUNHOVySq?if^O_08u(Vktx>?L{IJ2yQuJqdaF&wCq@y(ZY@96JL5xrrMI%)lf94SdD3W&@%dvICo^?utL&t@9Lv2?`DlOMZA_s>WOenQP7Za z+Og@9hW6Mk%@cnmjBF>va3fdR)$yXmZlWREIwyff8j7T_9kXa9&27kbR8WeO`M4nn z_HNiBhYs$XF?8x|Ay;qg)Js!y8=sd(@u>K?@;eR5@T?Nh*@gmp@no_F zbH|%)q%?lbguETSw@ix3QDUnaa=6=RHG+cOR6)5XqOZ}|q%DbcCaB#-__hake1D^5 z*XpU#;r0F?^t(~FJU*xVT%P8@<}A6J5{CGoavZ9=Q~EBKC7z5kAEPRIJaxH!%TM^S zV)(cCR6SWl9Pndtvim$#KbC)^36a5Z@vB?&;$$vm$KveuMrFwWDMw53`^G1QP&wWn z39Ge1CAsVI$2+0k6eAn+#Fgn)g!7FqL$O@W-2^*P-MJC9iwR?uOtQLT!RD#ssQGjh zih|x%Lit);+fstg2^=8M4p)hTuJ2TJBiY5fNKN^K_wNV2yBb~-#`P{x?zHBnpo)AR z-T)0{D7coitu?AAC=I9sg144l5>TjL?g*wDXe)7zGK>V|jj*E(qmbn&;Dih#K^_7M z=OJOK(iJjz6I&*Wv+d+!Mdq$AJJ zvN)NWzYaCryEq738TXIErUgKJbOGQ(0;V>#9Qp=$Y`gCAhE0GE0+k ze*~q#2diq5(DlYSp|6|5j8zoV_wKEOBV+pWc;IOxzfJ+-c#afwWUO+Oag^pdsLRfg zi>QM-%}Y7Vpc6XyS1ug0NDJrCU^;e=BvU2i7a1jywYc#fi|iU&dcwjqqT|~FEtE%I z7;qGZA59nRLlpP9Xt2V$i3m7{o9!v?BiTsjjQ-R3k|!eD3VjQ&-l0 zy`k@={UZM8d7z>EqR~&{j5KulCXRhE(R7z=fR)nqo_0S78W;IT+BWCe7=1w)w>wUZS=Y<=}b9ZW8NqG8LQP)mOJ~PKpboH~mr;DCy zUlE$VXgsUuc}F@>s@bqVR#P^ro)0z$sSS`#}!{J3hySEzni5 zI;T;VIyxEJe(vV4k+EY%7Clfz%2ItEqTM|~8QVE`Oi~mC#n3N1N-+|+qwnCk0_xy6 ziXem}YZfvHia6YSn|g*uZ+|Io(mCIkuToNTq8Cz942|t0*waWrscBo77u7)F9cMqJ zDZ;bmjHW80mlS1d)Ltccq!1MJxhRZc2nzagZ$~*sLFt2w5Mv}DCvu%!_`32rgbD?^ zD%kQbKM%EDJ)Q!E>@Ycxc#6L{hw?-H6kcJw*dSS+zUBB=zNt8U{OZJ;4Ges~7vy`MF5ANKJ7o7%Wp%AT-=c=CBZZvR<05+3 zFmP2-f7g(66yz4}SKUK_6V;2e7QYD``*1(U-<;|Ce;CEeYx+Vn>~Pqwv*6w znWgcfZHUWLLIBF8|GrRXZ%3t@k}6EYHHPVCcJPD4+t2l!BC*4LN=;LymDJ~@;O9o> zlq+uv{#(1nvyTr+<);4{~p9{{~~GxxuNFIWp^0X5Xwix>HTbW-{QMBjpN{?)3cFr z8+V0%sE`9ZvZ#=sks9_^;3w^HJ%Tg;)D?D!0d-p=9A}0nfP@n@qLB-!E|yH>tt%NkI_aXMk&n zf28iq;#%P93uL@SUHCJ{lOIkIjvL3BXm@TV;AS3pV{DsLofszXn{UqXCW@x##D&ZYAJgj9dvlnhmtx}_h zhn0eMVOWVD(0ea^Id7MyCMqsW_T=!x_MY|Gjb-b_PJv?mge0@L0kPV`VE6Up5fy?^v( zZOif9>kZY>wUA(~=#sYFiQ6H;%6p#q&KMzXcVzx3JFa#&<#e|qbdT;n%#fJJ@m9INXldA^)i75TSktY1xx0vy}R4+-G|BXO0|s3LNfu(wh1DES{YvIL~le z&F)I=z12j7G(K(fHeH;d?4AJyo#7ypH+dP&h?$>A?FT32qDy@Y6%9@+V(uwUE2Q3i z?ek1U0gxfv@%-Rv?HGtMJ8~ZTLlMYQlNWr3^h0L7sAsV(pfrIVEHYn11dyPSIp*>N|+BXm3HAc#XHFGTi@3R_9t0>c*EJ`lMsAa2Rd z9D8nN-?nxkPIr>=BYW-qr+LX(DibzdGV0v-c8}&JW9i>ZvYMNWIyAMS6ox)U_^PRw!%)*YD|3Y;3i<>TWI6rXP6Vb=@ zuvd~lcM9-dDmwf7mYRn%a%wfd@o}jPL8T*(Z`yHljERd z^dw+PDw`rGp>TA?wRR>u8QDFRdXj5PLWlI~lu{}oKIz!8NozKCOTv7vV<+pi=W}h9 zV$D`5)*Kr?n@UQ1+9lwX2bu(GSAiEEXp(Ba$_PBro(b*N15J&X;&71%ntJYy#??L0 zqH19h~Q8|K^R_cN0}d9QVR2PN%E+UpT2 z1sw=$NSn&%d2L0bpx3E)lEfqK_>gmC$0vSJiamCGjNQm$&o_<1qDftD4*f#}$uuSC zKp!GVG8^584-w|gYO(qZ5&5=^7li05gl{)QmY*Qv9F&f}KhPL{1Jm`d5A@ikx9tst z>y5(cX~GAZ$TUk5iu!UbxLIXInU_{1`L1TmDr{IqrrELzd*!%vY&oTkH2J34v}#Hr z13$!2AIm&4n6OK|qJJs!Om^;kPAH!`i;)Nj-wTsWk*VlHeR!>6X$~L_RIV}v2`EVdZzot)_qf6{LqTq zpZ5F0HhycZ4{`qmF!H6QwEqG~68aeTUjWGjd`us{08(Sxm51>QAg!5UyxcJH<^eJu zg87oe73bE-4}o_Od7eK6T9L3a@(R(;g4Ti0XOSI{I~vP0OA<=B6x%gZl~sKKPp^g& zBP>b$&1okMeOI!(MqOK0;o9pjnq$W)nvFF6rrEU0zx$NMmt7LdhwHAajS>qO;=_AL3OB0#D(o>(hEbqz8AL)Zf8HK<%de4MX&GRRE zdUNJoN!pX-H>Zd~5#OXfI-BM;QY(q^T#`_f`o0z$)}myl*znnra01D& z)0=(MTWEZCmBcykBM44ld1UTKNY`gw)Iuz%yZcM8IKqO(m#MS>Pc{vaO$)|}q&~-; z7GA+gnqzlU3PxA(v$0W(B@|r2Z^uS6<=&iPEBLY6C^lp$w1V93@e-UtWCcCi>dZE> z!guMB)X0j+pFr&;_C>x|dHf)?5tN_(wK=aY8r@h!AL4}2kce01Xn2uSBS_T?GwTG$J9rms(m zs8KJG!?5!v>V>=g%}}I7y^y|#)L$s-g_PCh|H4r(SC<}@6V}QQ56%O-q`0~VfFS`V zRbCMg54+?+`5iYT{^}Ces&bkwmo-Ut-CcN%O}kF7a@o{Do6445RgFcWtEumYMJ*JG z;%2XNABkjnRy6xaB+j*Y+GQjX^;J0CIugn94MD$&L~?u~DQqHRPQhhjg5o4saaBd^U_-19Bp`I(E zA|xtoNmBQkIi?^!?@Lq~n|IlVBzaHb+?zF7mGw=Vtn%5BgwW-9)s zTT%(=qfGs28_&lHJL5K-&-52r)o?ye3X=EHd{=k7bQ#S@$)WP~A)1eLW~UqSuuc;= z3-g={;eHGujJM>ym(P=?FsDs7bXLmXxfjlnGPwCD=AnCPs-p}7hAev)4dJUXWozxZP7ioU<7}@VoUi~U32}3hOG8(+f|*|@%JXDJPr6g0=f2|Vb)Tgm7mOR9y1sB)Xu4AG zuQZsUuUS23l|@bxT`$V`D)CGit+=}XNb9D~rDUPL*TJPWi*^KgutQx``n)`Txl`3; zIsV&ygA>f~)tA8rUGCDwj^cK&0QD2>q}3AX8SHQ` z&fbp6yHAHoX@AhEAf7POEa#!f{TrKQM7%YQxj%+H##U_(WH9VJjD1fQdB7H`BpQoaif$FP!QmNU9bQ~R>&{Y3IL?;f>w5G3ny`FF61>nzR5@=Rb8P&p3f6T}%)T9LP__U8-jO?sxvcJq9Fec9)9J$vm*qYz8zpgWO&r7c#nx)so-{cb-ZL>ZDtRK`$j~b0nxhqe! zGu3-yRY+U&P2YU=*>|3uKRx@-WXbK`?`^$r#QdYwYVJoizdXgwbjIV;b)4s)7UsIE zm;7Ym{B*z%_ctjaf~2hygi}g@Yvp&foU#WnQ!+ne{no`$Meq(QAy2N8z#fTD-Uxb) z$|xBxJK`!szC?VzQZKo0Ow7~6ThJYmnSA5EsS?C2B~TnacgWWle*}>Q+i&s^ZL>ww zr}$NCC6A05?#(V7GKtAI&YPxz)N4Smm0StK8GqqBxkLCiKB+bqh6zEhmHbS`e{mi$ zSwt==qyeJt1<-4~?w8ZPxKG^un*8h(8i|_~L=k1I)Jq;Db0zKIYNQLtnse*IY3ovw zGAQ*D+NV$69;OQk9`<_THYuT*8P&@<`n*`4PQ}^dnI8Gadg3O7mkX3qFGo6?PaYrp zq|clkSh>9xgWt#pw*fAie&3rk_=iEJ8(y$1AJIq!q{=B*Zra)E(4~{NG+pIA50;si;^U}Oms8?=5BD3d|nM%?&8_3{o z2~aEL;W*DJ`2_McGTmjjj>&e0JjJ^dnh%qghWy2c$z=A_jxSjr;j(sm8Ed5|DkI&! z(2Gk{Y3J~5(_s+o70+9 zlibp##Zzs((uv789_%&*Qa=RrTFD@@`QUG6DwF!m{D8Dgg0Bl@RcD}A$oe26o2#dj zosIprJ~4UcK|-|cz><0ol3J^wsN47LIn&0;6L8pjTi6r#PC*K7+Y&YNU)M@kHcdbL zUtjN}fz0H+{htdB48vco)zD?{IGh=sssYdBy#Q{Zf$_|!)=D4kLqrqc?c^A=b)(S? z*b}#NbA(giTrWlFM!7A#uo4`T3lT0&3Dc$!*Ge%_GUl$i+=LlKCKs+$ubDxVu2fj7 zp$E{7=F2UJK?1|{iZiznHxX2C?pQDR6->ypDc*iZVF{V(XImVJnAVdpf9U2!SArsJt=-t0VQ~w^Tnm^sg)HaDYm2B zDVF9x|4~}nFxc4$EO^ZM9fvDIQmoHk^=ht{{l*0DY=ve%NzCz}l(rY1BPLSAk1JVx z_y^y2`$vDfnbxAS*PZY%%-@Yg6fV((%Ym=Pf{;Ef144V-fV{4E_D}wf4NG#9NC^(7 zypt%%mx#jUfe4dtl!f)*gf&l2%WsOMM2q2y(+ES^JKH1Sc0)>*(2;H|fwUWBHVI9; z{02$5Mi(v4(nn-goc}ah`hq^wHX*J#IA9W@jmr$4LkazkwPnzgvmG5T#+U<*lmiJy z(&wwc1r{+$aJv}pZ?x!Lmf-{CediRtr9yAUT|u01F)b^2q+KaEc_4%;@%bh^tjAaU ztP2HTUGhi_Nm;>yR97(B!{`*z?SXPk`cpX9u~qUTx~KH5YZhz)t!}|?7DAWUycs|5 ztC~v6OQMRW8Pb_&&4OJ|+68Vv3l5zG(T_1EAn)dz&-ppe<0P0dF!ksoQ0&1Cq-$}l z>oZEPwM*$gX=uG(yA>&i^US0kngm4?IhlR^`Sg`! z&HTEPOojOHm?aMRtHc)Ml@QjnAJ?%PP&r=++iW$Ow1{A6O6WsGFfY4au{tTXjx)&ewCPXJPD!bn3B~-Gha{e zOg!bQ^#*+L1+-)q-khJ!q9}QmLQ%5iw*vkAJ^4;YI$m6*3o(40^*d6ECbK@NpOa5P zPWR>}DW36n_lbC+&BX}A208JN9iKG2lc@R~so_kORx^xCQeQxbHpAtSnhxr23MA=L zst(6c&XMLunH5@AbabB;O;T%e%u>_xkU_76Dfa+n?&Im+?TPfTR>R?nBai^3$&3 z0zxz`i=~eeR#S#)L7kctB8vBDqtG%YWi7|AT4s?`{46r(;1a~|u5?In`6Sx*J4)7Z z{Ho(8rQ$cM;JoV5$`eydH9mM@3te>b!~{v%q2i_!Q|vM;%i#Z6if6va)2z&?1ShN~75vz~_`DwAx3pv&Vaiyd8%NPJkVDfnjqfRV>P*xQ7S{uIYQ#V{!0``^Dk6;D%;!Hi z0wdGTkzUFOJO??_Sofr8+r8h=?pP|10nm2%bsjEhZ>jB9sc&7!kGiH;38MG%Vy5~u z!TpGZ-;t7e*znanNYR}T8%0yv`Ztq%=aIKl_Ie_-bEFcaHS8V8YM|2Syr*nI=Lyy} zi=ws8E~EVGDRy>B#=&Ige8C-%n%fDB#03c^ZV9GcnzJYiI9+Vc=j7&hbM}2ABl78k z4xnWP$FB-bCs+Pa;wSSI?2PfdWM*Pz>oBH8Fu8lFV5ecv5`415%_x&np)nrG`nD|SQ5Ind-| zD~e%|j$`<$W6N)J`0o7#o0W$J=#%-Is$fM*7ys;_1N%OtFvZ{80*qI5+C4of1jVuC zIL3tI7Y-~7A+O0`TDsFXz7FwvNAZnKn0ObshTC10 zjfP3w>#Mlw8sDO5ikNkFyituC%5bFXt8x>6$oysw{QAduqy5y(fi9knndDSjy0#gI zi#UD22TEsW#r^kF)$jcf$&jK?8*p^!9n&F1b-)ECoi4D#0cY;VTdatHR5YC5r)%z- zt@0)ceXbnO#v17@ZvG}NB?~m^qju?GmKaYF-KoCL;znPON=pXOp7_}tL^AhFJ)bn} zBY2vmZJb4rsbz9;_ZQM~`oO41g^A5&=E~=*!WM*u&~q^FGbwMv^XF3Uu+%z!bkNAn z1SU4@Auuq|D#AGbbRdk(53k8|&S5_XzESv1oIX24+FQ-}o0?f-V?RrLO%K~N zW&A(vz1^-gyKbI&FZ*~*p!6^KDuO-@g2s+}b?hM7Hf#s!%TH0N8uMqoT8q!jHvunn z4u=NCq9}?YC6WB1+a~ZAv5=sP#ly+s8El@NVqqnPYSS;y#+Q<0bA@F6@NIl`>dJ)O zJ+k_2C|Qhu3%m3aUv;rP(*5cl*m2-^v7g&9p}z!tD^QCIueH1)?dmn}F;Q<4jD01- zt_zMYv6+45XZIC0JfV?Iht#SK?|0T9ReGZxbdNcJ&N2K@SK6hBh zUBc)~yj!2ppCdpdsD<|D`X!a*d(`?DYobonuL%a^&M~ti_0L%{bu}de%b(r+E$n3Q z=XJbiaJULEc_|Jb3NhWhP=%cgDt}H*vIR8;f6|nD2Cw9{!zmA|lvn#4Pa!ASpz3=q zfZqeP6b7|@$*sAShqlUdy<}XFTgI#iHZ}n(`D?AK`XO=T@4;GfhT76LNa7{KF) za&oB|oZoA*-6=^o^}y^U#d{#t@4_yMvybA*b)A&hZE}8!dC{C-=jKy7uK>+k<0WA&3rzlcFSQpioPdWK7z>~`(Ik{|t5t>&p z>Zf{z?=KmTm-q++dpY>gpq9&Ld+zh{Fup#wDyvfDOS&YbD!M3yc^#IGuWzkRxZd?);8)m5ad%QYIoz6)!&U$?1y%p? zB{U)2wL;?`fto-hm2El7H|SPF(8*wn9*Pus8dNzxB?aDr8jGLB8~>2S_7XRAC%snfF~y+LIlrWNF}QRTna)|{;qLFH zB>#}dc0u$x1NHBTg%uPH>D5IL(rIuhiT6hW*79j3fmVyA<BqGD zN{;Pqt;pps#CX16e)T)lJkLC6qv`wGm-(34o`=NzH4nDIwU<~b4Qm9e^9e=pQ{vx;of2^br$`u&d-($v|EI@a{_|h|^|!zL-CzF0|8p%VD-~R24 z4gJgGFMogj{_S7>@BjB-{`%j4``5qx-G6+|4R-Bk;*rwYIK*qKWfOgU4gGwX_wt14 z9>!<$>cfn@{Bck0*H`5q`FD-YMrFoqv)s1PZmsNm$X*nlT@C8L{r1+D_!1%efuNe^olX~qvbd(B?-X~K86ya40|8;H<#$e0iKMaC>-;aM$oa zsNFMUr3m#MrG^e}4%!{sK?n(Ga&kda=_mV?kzsE~{6ZMrTFcs3S{gUy(Jxge=t%kT z?*aLQj($=iCM5z=(rj`H?MR28?kTlz;TI!+rbG9u&V?GRHaN`uQ^=PFa!$|r7I{?v z_7*3!+gdpdFux2sQQv8l-8yz524v)2IwJvG{i|keInlZ04D;puvr_!Z+gwV*4j1a@ ztmGe>6#oF{yAnUH1xq((-M|qK76K<#(-GmbVq*pZS z1|10M0{{bKagNb%wpu88{PoDcJ(X-GA>D6(vYEHXg3<5aOxSc(2Jh$MnYZ4a93QZQ z-=B-K>TdDVZz=C%WazVZ$DHV60;7%gU!@%~u)d#)KC#U)4%f3Gs#)mL44%cqt@!S zS}hVY1Tfk#Q>=K=Cp$&7l<02FaKh#cG~sEX=j@iwROf9d(9HHEijZ@%Cxd;$(jtuD z=H~>?i4bJ@y4;F9^_d=g0D>&nAy5w%BAAogZ(ITdOvMQtt}Oii9?5^)T_;5c!GApb zo^r6<7Eu-o{GAS9h1m@hIo-DoQKr24JsARL@Zq|l9R3Y{Ca7_*;z^JHjM89T*2AsO z7xFitfmY68Cpr1jS*S+>7Y{Mbiw6V_#M3SVQ)C^;#mUm5#2${*Kp(*`aApIQ01Vtl z48$;B4Mn$F&lY&jEaFTp^hAt40|%$Z!Sd-2gdZBMmU{p=Fkx0d3gq~B`FGAmZ@yhT z{B~1rWp!{*u)!KhZ^VbZJ`sNK6U42xyve}tF>r7e9<0I?^24k{OablO;X^?^#}}-8 zQ|fH<{!%#ckG|07?oE_?2&IuP*me+za@R#bxA@ooL3B|F{^P<4OO;m$L{LvyqU~mO z_E3PJmc&;=C=q-hI#J&>{AGuLBuKi|XkF5Y)-e!b3jqrbum+~`-tf`4MK&$1n z?x;K;`YSfjk3L^Da77zb|8dpLQC;FAv#E-sR309owSCSXMwi#Et8Ryil zlsA6EsbAT5oak2$Air(UuWUp<^jAhCKl(d4lN0?)5#^TqE3=gs{gpGze~+K8>|H*| zxiX0PSM71-GIOF|`PBUA!`b@kmz#Jc{&Qkq=?C5Due^zF z^eZK!AAP*CLpsr~9F=~lKdyY4PET!R?ez1$UHL1cK=C5?# zUI+im6YjRpt_0_9sad(x-RQ5R?_Ts*K6&>(btS=fqrZ~dyS?x$&A;<>VkP=_%gu2W zJ#b3>D!t&QebtNbUO8S>Al%50t0IQe>|S*_+%kWa6M6ew^XYfi)T$EVjT@=YvMJd| z&Z^(yMSsrry`k*e!e`MV?`xu~R+At5D!}A^tQ7B> zR6g`qX)HJT<1W+XM8E2VMQ^l7y^EJ+-zoR1qUJ<@*M4)$%~e;* zeY`0)ES|=HAY|F0z;RYK5%Z%r&q z527b;c3MW>u$>qF=L!CHZr)Cg!~v)#FMMrwd~eYf*_L7U+&!FR zAHmI!nVzY8M+gwx;pnLpU7(Y3$p<@SI=Wz&7&*zEvvGJIl#*wVX+E3G=&3DvBznH$ zC67Ms;co^H{w(MnWU!o7??8H_ewV#)zj5{_c>f2c2Q}mbWKKJ?3ykrkQKTQ5kDCYaZkGlk$ zd$7r$2xfHjz}q|mkY#2*!ViEJ0Bt$@ff}5&#Nu9_Ga8^|?+g4`2;CqUU^1on6`@t) zD#;x<;AeABAh<*dbJki(?`3QaeScug}4FHcQ z9%54CkKCVQCEyVSf6T$=z*wIHA}9O3(@9FKKG<0$wm7wyWzfh@STp&O_l8ht5~VV!@fR_g zK`;codqZ-r3l0OW#m$&>plK@poI{gz7x+cFF+KY{;VE6&iPwhMyulXdvwxZ@6enSnSpxRcqfFr|U0 z0r>=H;Eq2oXz`{#0PC&G8)8mn)cfC|F6JCa(qcKtXno+9H8aJ)c{sMJ2>Q^T3`|a} zhw<7O8e{Ps{)Y`|259)<mulwPJ*(JkIIpBGk;EeJJC_i!6?q^~^ z(pw6sI2E1XH{~ZOwRvNa5_#o2D~*7hBNnLzHh}Zr1mG=hEF%2%4qpo1$gT+TTUw~r z6=39#lS}@ShZ)D_j|7`>Y5qLHi<-iyDFA&YVRDNazapE1O^}-8r>5Q!jec_c>Eb6f zF7V3{vT4nS6ZV{=G@P&}2b1q`XtEl>}+}um3FXC87fa(Onfu z{LFp;De+qiHiy}FZhKBi_FWL#J6@mnWR*0N^YvfwmuIjCm!O!UKlI!(|B_PeteLUa2B3wVUm9MW5zvHy>(Dq?H4r)BoI7UakrF0 zad&qs&=x7u;!>cvhY-BQy~Ujt3X~Qp7TmRz;shyHBzUlJd4Jz`XYQTJ;U};@SLAxYGNWyAr7^gPlt`MASWdIA^1f*obpQ4Kq6RW9s>vjzh&ct zNzzgGPz>(I;MS*`YFU`!DfX2mb&I?Qx5bRTJPJd*%osq}rT5iL%j$e}0zr5=!fG<+P74DMTcLi7z ze1-l5CF>sbS?eQK_-UXH+`&Iz-4cwZ%2AxBxie4?>bVd1SU>O1f10K3m6o-n`Sm#U zOMyU&N!jXIRc9{}qq5|QKHh+q95aj* zZl9Mu$d?Egm-5!q@`9pmVt9!Dh0jy}x}*YwKf;6&gO2uRL3r1Rg%w4-@|poBEl%F353u7Cz(s!&c90 z)@JQAoOvWoTejv`skU8fT>xQnS?^&Dg%s0p<{h}&Ux%4q39G;PN!|^eOW+hDRfy;W zi~iqI2jOs8z|XJn%~Igi?Y^u6BQmjTZ#cPdeJI56blA;}^)_?`JDE|=Atd#CXGP7X z__{$8A6%uvA&DK<Lz1&Xd#HOOL9k-O^Bf<@fe9TnZ za(7=rRP%yg_L}IozG)8_&r_G~L?HWDBkq85W5*V((;q8T_ZEX~>Z0K3NjHm6I*olT zaLUM6B4oE!yif!W#0o?I#X+wvioUx;`7ShL$QQA2UZ>=JA`=MCe?%eSmH&ucVS2n* zSPOeKvvzY;rvD8078NQDu<3p65;(aQvPD$DmLk|>CR1IE4kHU{Ek49o0Gx>Khkpp5 zw^yf6t7}c<+ZEh!hbu7q`myr%w_O=ZBcOt|XFyU6XqkKD>)!x5V)=UOiSMDM0hEsX zyrBUiaI2k(Jdgak)GXR(crXOAx!U4wm~@6yjuIfh3nBzBcBS%Lf$<$QsO%gneoCz%PiSn@Y!@m&DP zU|mfwmN{E-uQ!yu@w$!vHk=ew%n>P?s=@K9?2-FVDdNebSNDHD|AJL7oLW#cCF$bxvcyPzt&pxN^Y?8uYi%R<GR&bA zDN>Yv9{et!B3Aa}-wqc)1$~9d9@kW{d1kA$>LL4;I+8Qb96QH?36jCkvk-Sh{?ct% zuvba2pQZ!(qglYR_T0uVLnpA;FXtE_fysqA(Xz9TnHE-fn=D0x>J~|=f6XVggNl9= z*1-W+-aoZMPgCXcBHzlu(f-N^AMo@_`C$rlHw3am2!jCh%_-8YIQJ&B}b@BA8> zeHbLt9&VKMkAAocGaeMoG-JpBwnp|C^8mdL$fSp?^Vzkn-FZWrCx{K+(d`ckCcA_#$}Y*ApYDimuf^~->g>&R74%gATmtwc22 z;4fl(Rr5_&8gOF<3ljMx=*wJ~=`N=3Cd7MMYEJ0(B^Zw=p27geW*_&|ZJy3J&{<5T z@JozD_q@Lww50JfMGwP29d?%z4*VSm z2S`)-Gzv{v4LSFTqK3YT9r%7HF)PYQzHNHp2=<>Tys|^63}tpoV=XwY>!MhZR6Cm> zmWpdeq-5CKtCSBanFP6vH3cABr0H*~yoeF55os{xuK|wf3hvRJj6wLPM z>6HQ@vn%p$HDrTmg&)swU`X4I@f_CO?*;g?Qy8%jzl#$^t8ZI>P3LUy$XgX{Nu;vs z_}WU91Z#pacLw$2TW4u6KlTLW?N~wIDbRh&k_m0|D?JIJ31+?D(bD!d;L+A|{GQy` zPWWgJr09T|XS*&4FtAi#TL%8Xm)Yd)c^!@ND1`F_;~%Pf-1q^1Tf3trCc8u>fsh~X zw%pa$)aqUGZcnR#Gp>4`k_3{WYxa)1zB8(nCF@Fk^(v`OP zB=cir>FB4v5<1LjHn?V!mA&LcpjOp&<^vH?}|Pe0*C zkOJu$FU_uz`h{H#j3u8oy#kWSu0)C>vC`N%E|!Ru(o6`zp3v8Hv_oI*f4?C=8Q0VT zGWL$rib`fmXMa;eI&86`dJ#2bQ5%m@KV3dxXbCuS_s0kJv70HhN_W|pva~D6e>xtI zY+$3AEK~X~({jV{Aurae3F*mpX@VdJuJWr(y=3oKY?RE5!!eY{Rvmz;c3@s5k#-=;rq49#8*Km_S}?Pdp&5;lGMC^zDE<3z4rO=zT3*VG6>=x_7s5e=)cv^zFGxE~ zJI^giyN0aZd7M(8^gCUyRzExQesd>)+k+h^V1@paAtfJ6^)P4r>84m;U%)p7Y%gwJ z5u+Z@YK*hxKd{|rPi3enGwF}BZEM}8_1MS*PWyin-&g$obQ--u%~!a^>nR9`n_&B0 z@sCoG<>wT6Mdl~p1$w17jMC|P<@!xPUjtKxZHb%|@iRx&fJ zmTwU6!7ocy2CXcij^EP$m9gIGvjlRu6%&8f%i(nVyh8Nu-H@{GW9RQMiYkw!9RWKk zX1ZO5O?1iT+C)ho8nB&t0i@cbt6h;OF}Nh*9Q?#=sN#ahh=p@zuzr{0po^0npG&X@ z3-}xH*r1nl5P33clkyCyiYZ-UAx@taS7DwNsi0bzpUn>|w1cf&4`d!Z_$$g-!_4)vv6*W2Vcku9-K z%Ar#Io@I}UICGE{w!huvd%-TIJ3t>BsEkOXyzV){qKSd7^!e~6YJR{e?4SPs<01~B zvd-Hg$=Ue2dPzJ|na<|WUNJ=R|3$?;*5NSYW3QLtpMJAk>k5*oxsm z!%c!=|3{gge)fu?{r+3OLzdDmCaE~s=a&$cN1*Vp6Kr3E7` z&R`wy4S6<@)^hjKee~!47e3`Z`T|ciqJqWpl5tx+<7SG6G%0nLFe-}SnB7ofl=252 ztzTW3QyqyD$X}8i+?0I>5_&xHoOSY7bL9ky!mqhD=cxHU4C1k)bZqAMb9SpA3K1BM z&zR_CT_iDUsyMGY9`mHSr+Xz(c2q8IE*d}AS`XMAKoRANy|O8dk)#c?=a5Dw<48JKnE@vUWcmC;lMN9M}Jn`21zmu(Wd76mmA*K?%Dlso8}MJ(Xn! zN4))+Fdr4yv({N9G#Q>anJ8uNew(3{q;sky{>|Z^R$M2)85JFt3^JV7&_KgzH(7Yr_l_2 zolc{8^>IQ%L8#OQq3WJD=#RSXg^13iJ0haLAl6{TDWmNXZM6d=a*^r|<# zDi+9^j>%zg2u*ZU&8a(nh>HTkE86i{5P7^Ke+KO$T$%k{RQ`L_v6eV^bHBSzut?VbeVE@RnGx6T3AMB@bSCB` zBM4xJIK3G#4jubQbC0dIBhDYYojnO!Pc^RnGV4fFz60>e=t|A4pvR2nGC9XIXgA%= z*2pS8x^5{Syn-FDC9s(Evq<8~!Irz<;FiVtirwNB=Si}ODUwp$4Hl%|lwcbema{CT zXAKCbV-EF5-aOI`C}aXP5V!3Vgj}{pcyq8aSmXFHsLN-sP0pg#x)uL@CeJo($Duyik;^a&n7IyY+&srKk#ioew#s zR3Qv7*qn{~Fna|vIFq3Rt6oz06!Ow8(^#~zi*&We6m#zYS2o`xpxLuKnc8Pjl+AL% zXsNy0!a0Frd=(-)r$E6l>hAoreR6yi7~%euOzb6r()=tP^pTOoqsDH`R%Wz zIq}1T<1kBd7F|C47;YuGFk6aAQuWx6ug>8~CwXi)kSp_C_W+5rf#)h;neO-B?^`yg ziUPvy|8!O`bpGh-K9EP=3D=Qe^TQ+cYMNMt_=0bvUlWw2(>c|rUb*yEc3zUO7mPYS zM$AhIal8bfow7c?f8}%uB!7MOo?V)4CwvV5ophgXvPdR?wKhZ3*d^mFx=O9Q&1gjT zb%mecTkO%V?+ac4heCzk6wdY~tqiA#D_o1Wk~wQ4Zk+7>lx{9_MFcR!xI2xHV;i!Q zBWJnFRQ2m0N=79_`2G6vWrSA*pw6FAelD;are<)FbxrRtJSi4`HynJ zAmEh2h3q_4rTC6Kfc0ayxHL}37UkQ7UiVM0AdA!@K|vborbnZW`h(oMqp&KHdH9d6 zktVq10XAym*)9FX=mk;XFS;k@gU{bOlZB;jbjqDnND5C=t{0zUg=lehK9gS3-yZ^} zX0Dp%D{41Ef{yeySkpBg^Sxso-e7&1z?I5L@b!)edW6!ew&=Fj7aj^UN(I;xqG){Dz~c`gGU2lbvK;D8ZgHys-y z?1Z&%G|=9k-&Hu=ER}`q)y+AdRW(MZBx(5&szGlA5g}ZpV9(#~(5%2;hdfUJgSN*L z5E&uGQHRPjt*277L%?9USd+4#x*COy;dIj{c|3Qaq#--rlEBnU;CdhIbO=2<2e3jkV%Q=IeHJ1?JV z%H+ZrF+|ETh%wb;1ZCt!<*MZ82bhq$44k+(<|dP_UOjLUY*NI`g&q+*~#PtGmzDpLC4K+7ESm;bc%#ShzXuma<}CDXHdRL zqaJhmu^m`N{g>yHvhDn3;nOm$^*G96$E}6r3O6o=$%bX`3N{1j@peFXK{c=ok(rK_ zoJxi^!xmFSpV1cPzc^Mn7M<3Cy!y@@E)dm*^<=pqT$ubPWQ0g_G~MHDMdL??;R+co2QM1^@7OX! z9i^j+J40y|#0J-}|L@zU00Kz~`GO&%^m`+S-$1wLqx}@+Ypgyup#U=}%blMsIO$3^ z{YG!5`mUmv@duFjVct<-$HzOicu1x1vBA;qi32otoxsI1R+1ALlUq28`*zcNybaAk zRk-+_HOy9-;$v2N5Xf_sUv~_$`52BXH6eQ2gdo_(Bl`4iVxNFuJ=3;g8`O1;gb$+u z6@`xJ88X6WFt;!365xZjxJsCEBKh5*$8f`aoWZ`XLVn#;`;Y4s1s;!HPC-wFzX^1> z`kMyBclw1@1mFKYvZ;TzsY5k{7tWWiL=|=5i{Dls4036GWJi~OLxy7jc8V3c%-O7w zY?{JL8q+j~dzYxhwS438T@Q$0#CJFjKZ_%P#c(*xu=Ob_2>!CU0>d~0Lqm*MI5zBo zQIyL&3R8z;*an&s9U94HyPMbDhkt|Kq(jsLAHEc?#7aCALu?(0>@I?CPrxC};h!#5 zBR%3Y_5ja112(c4;r;^~YIyl%=$NVm_o+x0T7OU{pXepiCKvHxLlhTr0xGSr^MV2e zbFEK)8F>2I9oRL*6AU_*$K?#STVwIT=lR7(+&p$w@PS)4V(akO&gDeGKi^1+R&-bE zioqK(%B-N5RuNa_Ec+()4XeXkQSh1qKZ6&+mE-@k$~P@V0;|pW0ZwK;|BqD`( z;nje)uGILX!R9tDcH_(U?|JGc*@v=R-%Bcar&O{ zVl;lDu+~m=pj$rdT${BOs?IEDrIa) zYS;r7o=F8)K5=|{14^mw9p)wL7{CQn*%$TW+RAx7xrw~|H`t}C7#l{w^{updsZP!t znWJXG{S!lr`uJI8U^o1fAi+QIC&4UZP z!Jdji4OV}rnKV4T1^wM5C(vyNoWz_?h&X_ek9V(UYv3cnR9>EA=YJIqzqe2oSBCqQS% z$m&$m>e8F}FqWM}y2?Grh3i#1+p>kt;_ha?2Fpk2)JTawvMd6o|~$d>cOg-AuCZIx(io1N911 zX|f7*+As4wBp>%7K&OQHgKru01a#Qm#q9ve!pW$LWxQPd zGngdT;@jNI`KSXjnAE(c<(L|hi+MM#LFy*SVP79m_2hmE4lAxOCdqrU)-w}^XWUX> zkj!M3jm;@0V8}%5NxiFqDP^?#Ic8|k2*Q8s$pJMQCnkhnrX}hTLLQ2rFoWqc+=V-e zx+}qxuKkR01j7_v<1QNtr`Eb|H!ItoZf)7*olDtv<1*1%4@UzZhxhx+yzJfAG`_Ym zEGwzXSYCLrL`T>&;CNjU3ZM0j2n%aaCxaw%jdAbc1@}+|PlPD?F!YF2Zcy-Vt^|)N z?dSuh^6-jeQhsK*@~gQ0St*l>;&L&@y@v%Sy@2e7p|qqQ z51@0WcOGd(gnjVqY30?q65xMWeLSF`=g?66aK=#(0-W1kpv7?H4Gm(GeoxxrydQ5B zpDf9dlp))5gec2jA*7mIu~z=-B{Q((p^hroqgJ99RA;4GP|OaoD1i z^)|x6yjPCHy?EK%e^#*UQs*!uM8|0nuc(nOmMc%ZqwW@2e$rj)uzO!-$y|v*2r3W{ z=dTjT<+F94H@7DZn*15mG#Kd0t&t>L$eb1;Vf9QC^H9;MIz7dnMpc9eF?n)wl88G< zTno1%EM;zv9k~^Dg*n2BvXcX5d5YanHujZY1tVwWlB{p3$JR8)XS#<}p-LmdJ!Wy^ zYy(($(r9wqTiEG{ut0QId)+zf(add@va_OEGD55HKjE6JZl_2>$K1ujw);@m$V2R? z7(s#VfjA;PNX3w(-rawcOSKFPf{UytI*dc&;RwJpx?gtm0Y+2YTKo*u8!3AIe1%5I zN_dDrQrHb(x{z!Ox_YpVL%zs`d>2ozuG`i`^EkrxJ(;``T6pbF;Ca_CijsD6^>OC^ zgfivY%07D}YRLN@yX0MN8;Sb|R6o8)EJ_{Uy5VYzyAL_^Gdl!&>vC2Q>+j8^dC0Y` z_}Xxok|KLfQLj51!2tNrP<^Bs5q9R;(`sg>SpMhxtT@u{b?({CZCVPhp!_nbYeEb9 zqfMl>GwJ$frR2sEtm2M}yjT-RSDGp~{aJa*?;f#~y%P!b`X(PvhSkq!{$xvLJ{L=!Wn(>e+UHDyAQ9#6Dpy0??Z>4h6Hg{u4ub!@Pc@eluG&H98nR+dXX zl}OcwfnUg`ku6=@;q?zZCvY#jhtp;Fpuhw`^7G@!siX2G{U>KItq4&nb0Qo>&SjWX zs)BbanO<+#{^f_sf^*+kw{yVZ;iJ#Bi9Wt=bbBAV`07s|h3$vE{0mITqnc=FdV)N+ z$+nE;n~Pn}T+6nc>p1AFbIuzYw^t`?0v9Qi2mGw6Z6G??COUp+0q0J*KWr4rGu$%9 z_I&3q7v8Nj4*kZA_7uV(hRXgvy(pmW(;(b=ow>RoIIrwd2s>3!creK@Hu9fBN?ArY zuF{ar4{}3;8wR`KiQ$G(KH$aZhD|R(VHcMDmNC?pTEiY0wL`RcNGADHh<3(@Xi``f z$u${J8tzu#OG-f4KujKxvq&pM3jligninU(}No;q4G5RZtR zXb}wW4j}zaV3jws`l>eUy+1qTQ|^=%Z*iX6_Eqsp>(@2Rek4?Q8oKpb7z-`zT$O!b zXMnRw49vaK1PG~Pq3wv8ALoYnSW{u*Xr^mK*@bX#pX^WD=x&5MX4%R3g)dsM?&aaj za(1K!E59Mv=Lx4~qtdoBgLxX-!9|z=V>j5j6nm*?%c>Cu`>$Vv-?(70>DKu2fm~?J?KDqO&XxX&Qk0~4Su`)zYY44-lcK08n z)(W1%@q+NA&|^VJ+a5H)G1YN2?!NIj(yof0elBHhPvS4mQf2?GPN$rmh(Y=~!QxWn zP0FgDjtVydi&4VV4oKX4iXC9}r+>Y?EfM5p30nS}{X-=xYCl%BM%0hMaNbhG{-t7u zS;DrvK84K8-~(r1Mo8_pEz3ki$b$Mte*m+hAsoB`&uQ^}WP41=C42LkA4P&+kWn~9 zaxkkWPy9-FV1^EzRMnk);>#GhErym$UsqNiI6Jv|Q>Sv`)WMfQKMNvG+XF3a&Z)Uf zLw3NzgFGcavX>@X)ER`87e;ct6Y@Ob+2&jZ%WHwI1PhGm+t&vtvlv#!hBiBibzMWT z)VcdLJ5>~}@Rh~An;#ZkQZNO@NSrdX!5BfjF7;s$p^L&+hSM z$?ad?Fk*FfTbpYV#83;0ZxPqrZXRB)+X-gH|qk z91giJZ`o1Z2*|FxM{=8+JOStkcz{P^^40f$%HldP(%n`P-$LffQgb1n8Go5G_okF# zQ&(p9a3@SKBHSpr2rqt^zWN-S!?*ZewJmE`(M^C2^f7|MDz>?IXF^Fz>k@7-trR`7 zovvOhDSWmO?eG1q

0UEU#SJ+1Y+LYrRNIVvYCuN>Y5#ua*dwwTGM=G{Or%#Dxeh z7(09iH^N$2q{f|@oC^H9S95hS9AHWu1Z@eI{r`c;hcp6b8%dM<(yza_p+yXNlPuJr zW|rGi{xXZV4=#K13RjrQcBo^8U8`TXj5RAEGeJmKs_9Es|Fj`u z!T#E1EPT#yXACGqJ_fRPhT*opSLLI}=PX$%w~amb;~7$yBZ0Rm-tYkKHugm4&%j_6 zcHhRdr=g{>-)A)qODf=1@xZZKI|ulxoR+=caY@s`3^dLsLfuIDBpt|5&k&kzIp{8T zJG+%@@rKkq2(bfh`&6!_QS7$9TP{D&uh}56{wEc<|4zH((;0xtIDakZP-c~qg0sD!+)pAK`-D;Yx7!XPJJ1#i;4=o@9!y?e^3PVRrk>JjePZ!IL@ZsfUz6Rnhpg#lM0Vi8WKk)Z#0o{T);jf0IHat+2;bsOIC z&SQ|2lOTCx2_E|hAMw^!D%pQGX56va7EfyoB8#8&3cW1dZ|DdeN(hOL$lPg+BbI%M z$c3!3jz^D)sMAfO}f}~qo7dXRBri4hjqbb?p=7f~YI}GqKjFHHD#(V64@Aihx zZ;=&WtKIhlbK8<^@^VphP9srJ^iW(H^fIx(XS4MzJ>5;?~8G5XFMp z%HC{#`I{%BkaRy1)Z$1Trf?3~Tav*6iLd5Zwxw@^6ujMOnk+L9h{0`sLg*#BkmG@E z`aPT{UInhhKbxf#^o72J*+boPGh%a!JQU|IwMbzT=O~>B=a;OK<(795-rUoV$*Zd< z<(m?b@9%}X4H=}|JwdjuhP#=-7GE#$s|-SACQqE4vG zM5osm{5JIE{2R#M&B>i?lod*r3|(5T?DDzbV5bi^Jw)W6Ghc+`8?agbBWvRuHdkfR5d_e_)!itoqf zp@)$ceSIBZw&0j0!RekCYv8!v5U`hUnR5$*5pGf%5HNk^IQK_kJ*oKH3Qr436Z=PY zcd8~|2lPQ-?r;@Ws@NH4?l4wNt!0DYO=2RX-P6Ev{@a}+E^$)U0#_yVd#kAwPx_GC z-#<4uw$@+1rI94p6*b^cLXQu!B+EG0JpE3r6_0fZ%J-tnSvi9&|MXGDVeo~L{#mrG zV|F%KD4HT=N|0Vw!J5@#4-y&W_fREIR0QJhm!@T(vA(A{;CZm_7UHH9)q|d@HW3Kg zD+n<-D{h(Kud;?XdP!C0s@c_Zc{-k%d`iJL2fB0`2jT72aZ7X$C3t#qd|E==^xMYV z>dr_X3>NHYigB*9K)w&;bgARHQZp>70`}_Mtj}P;ihrz&y+6zmq~>%F!pTH@{%qyN zwBmkFd)PYV(LZ}Z844*$N_pW+1|QSIcNGx&Fo=uPe(#vpca<2bmO!8*dLx%a;_kAP zq;v}@jPDQf9FLVxHjDwTt!DkTP+l3wdNbn`LpmT^=#aw+D@mS0>d()m7}>7qz}59i z)Y%Iwf{qo;CP?QgDRS$OUC;301~hk(IdCD$a0$GXd7FtZO*6MKc@QTY0jJv?k1l5r zDt#j6gT70?#k12-i$4ScYDtBrNmkyHSkOH|!6+M*;)Tm9CrJnBqhE%s@1Lmm)})9G zQRkrf@`GMpuS2opXYb?u3EmDex?>D8b&82-J#F)buDBMQ)}XEz6H7vcW9`F z86?ZR{V(cqaeEkq@${2lpD>IDS^7?xgrMC>yo)JpnKQT_{&y8sc*mJJN52-kOWi}% zH6PCWDcEr2^`h@8ct-5NC&kd|m1KSXUQP4wHwL!sjQ?y%V~KomLoiMM9$gS&I*w?XnKsxUv2-zl~tYaCv! z&th<%Pt<6$znhVH=RvOi24+T0`=PxP`VlZqc*-5zeC^V1UVX#O{DC(px zxw)ufiM`WlCE;|lYnD^8oCZjrV^!&wBhez)x=O6bgz(xpwHdIgzQV&ASFYp0E}j7? z3q)4(%m#H(%z_dYvch?|DGr8zbW{29_a>)6y+W4^mb<4CTz~>JF{O{usVGhS>i7KT zI`OM7M5dE)_^jbrEch`|O>FVfWloc%fh0X6(+_;X_KqVasZ99TO!nMmzV9Bp+WH=n zPhk%D1|_O1&r}5jciD|etKNsCfM4Md5=V0t7Q)MXS^t;x=JVOEaM{oA4ZqRGX`YESI5)TD zssH_2Z_8M0#;t{XTuR++Ozl$&L~MV3S@_JjG6jEU$m-T$wn61W73fIMWYeSA$`vW112HO=51l zMO`5Mx$eiqDMslwpfnIP(-ok{YS#LI9{DSq|LEUx_x(NRariyu5ruiORPLScJN`I4 zGj`qCYL&AInkxiXA(E?m9kQD|pUx#cP{rsr%B9H6^dAnmlkrxQ{=>n@LJ0cYk?W@& zVMW(~b&Za^8^7w0r=INDZux|80T6p9a4_%NEVX%buc|K;$>W@}JGS1LXf9oZme?z! zB%BLiIGA*f!IoLF_3Q!RDLi`q<{y!4q*n=a7(Ay55emC^9u}U5Kjg-Dn$k2%p;YPv z%&%-f;twS>=^6;$xuX#za_1#>{#s-7m9sj#BV8_>DK=lMiEjLDwD+gAB?s}QD;VE^ zm!coF)5lD>BqeT{;dqqf0Kqw^4g!QzQEWE1 zZ}n{z-`k;p1&uI9&x@HTC5}ZV4IZd7QJBazJ&EgmCeYi?Q`aLZfvwgz#v$ItGQ-dk z`EjpC>3p_OVy_c63{th8^Wr1E`$4sitAMuBc0qL~xDT6bPFB!_BO{p)^R7{icdn-*p~_ z{?e=u6G6wGF(9l3qJN615>{(`qgb^Yr^wq(XEip4=?=et7M9Ol*N2``_(K~+w_m## zTy?Ko`U|m9`-1z(m8PpgjWk79{29Cp(m!U*M;F|0{>q6d6$|_z28w5Mwiq$34P{h{ zFZRo*@aBVv{-qd|GEp2PPgVYs12&x-3M3?E(grmDy+;^7p{P0+-F+CuZ5&T=EU?59 z@DKSLwua$Q=DQl|I$RCB zd|Ju$vG?dEgx`mga0Ycu%Kz9PTTCd+(J!`_hEDPYm$3T zY-dok!WdoUn>y|qREVO zfhsZ0>R!op=?tzUvnHQTz;ihw>m>KAIPhHCZ@&!R$5k*-)8PGJhy!3nr$R98D;2jag~psYVu z<2-Tpz2j+b*<&=hKUP-V$fW9YKVV?q^VfeEpg8?=2dl7AFPBQYKXK*3MSkWh!`d_C z?^BolKZ20t+Q===6rxj<_J~?>r}Q3hq^zW`#4Q&FdP_iFf4$5Sz>n=DTR3I4d2_ip z-XC0pJzX?Sn&7visa`8)7}hd-T}{bB!D{%t@8Sd5)CVCn;Tl8ak()6+v8<(0!dy<} z!F)=$vR0YOo3DKH{E6Lot{1e3PGVtI!wMEn&!42__a1MV?_6;o^q0PxH!E7_Vg$a6 z!BDaU5Gu6x5RQ81FtK}8ccn%8CQt5~MHLj=^O9e3O_3&RxbhwtzJ630PI%fwG|xvN z?9O&xq>SE*f_}~Fe|0&@dc?31YTM?Kd`a?AEqmRo1G=sulwUM$M@CAw91zVt z?cxaku^LS?wWc#rxzJ>PwEiQ8Byz*Ki5{yk-ApSA#~U~#MV2CkM~dQo~q$P z~uw%>W@=X;_U3=Yp-*R9sj2kc`EuH)Cc5OC+c311<&^!^5s&7WAr$&a`~i1X*wq%PXQadxb4G?_F@wTCME1L{!2#Dm6Y|pX7ca z-2U9%^4aa{6SE&_8XpQs%m~N9vIgZzvD85-595m%GPV8`ir}LRN)izoz|PDU@I?a2 zm$~0&2Un610Dxme4*&XU?B)a;<;AF#!g1VXUw6JL%#qJ1)%G zYCp;Fc}s1`tdH9L57P+71J{T+9Cmi;P(I-54n?dRu$;pt26>1IX`maV7xWayCTjn5 zkKaa)8VXgu+vGrp>t#~jr=7>;$}mVuMd>)zJd`v1CjV zi{D{#*NcO$m}={KE`6ETde`I&1(Sym-S_VgaUWT5Axl8f?W=A+-C+EJZTzJMlmCi5 z+|3WQ&skIKzx{IE(H)1UQAu3i^wxtoQ;?%h@ul}|u3yX6Y0#r}mwg%%*Ime)uC2In z*IK9McA>+W|AI{zIsG2PT#QU9tlA{gFi^JNbjZ9ipKGD{6I`m_#HEBLUL%UEwQJ@U2Znqu@0z6w zDBV=QpV0%jW!n-0%xjS;sSJ0o(N|H7QK(q}%e861J4>!!iCPBGNilL~8bzb-|` zGHt%>@h-paavaPkS*=rgCECJ$NZF?1z&K~7jg74M&PQjak9BsNeSN|UfE5t zSkRA{qTB~cNY7xeMos}8S0;-k{!IBw%s;CKUH12t9wMKO#CTagq_d&G3 z%i2%m9q_rTVRd81O+#mY%Tx4PE%uGn#}N_Hc^=h_C}9g8XO>(4&sV*-e6AZD5Pu-_ zi+U&UkvZdTRZYrC0y3e2XSF%sNu#M4izR#bBbmt@R$ck0kB=iXb|*-kXdu@3YfE6^ zheiqT&h@@X1-x6tGbBj(PO+GYy>#$VdKhmO+0q+{9F_>^vYiepQr=S#U7~~rf^6Cx zndV|`>GuK0)q|umcAC#3P;R~OX-WnLlx9q8k2kq0)LisN1~72Fr>KDC@_dZ+xR42_ z{cbK7*oPX8}abfyb0>ShVkqh&WVq@ zd&mJip)SQ#UBWu=^Z>A=Gk{PR_<;}}E5SoqnZf`r-5|e1oh>)%{n;*(0LxFCO&Z*y)7VY?cZHIGt)A8nnAq*Kf~ z)9C>HCy&x()bM`#IP@;V#x^>`mn~$tc`N^hsW^w_Wya+G#dFP=W2;Hw*3d`50#@0w z3T4u=F6ofUgT3~e_(utADz9fg#3%oZ@nm}68Wb{0xo-U_lcCH%8=qS~?8(6NBVCqv zsP>!PPxH<%sR`#-Kd04#ELWp1mw? z0{&vh*UJXs*MqApz)Dk0jX`1jUrZIIpLXS~O>J}>#_eDopC9H2RkWf55%W z_Lm+T58|yhwgBl(;N2a*m4@Y!KH_~tH1ZDvUO2Sf6&vM)D61pgT`7wlN|H}zKS*{0 zNk*EG-FE(>*!SS1Wao|!ki28~{de%);JzZk1FUvx_S+_#vp+7=(4UI*qE31yh)5zk zl>?-a&H*se3AK%|$H542q^1n#0*n-Sw`XeSwtqmk=wulIuMTG8n{pv+0JDAvHBvgFS! zhIGQ{5mR=%J9^vOT|y~}G;qGXu*dS%$kFyHr`S=MZpgi=!$kkkk0IH@^ZdW!z_3(G z4$p~kzestNGu&=}Ree%oSz#C9jnG5lP^DBsZKWBiOOxd;bhw`}L^FP5|3qa662P-L zygH}yW@hWFHUbRH=Plu;!DnF$vDsuH4z+9Q*PO;nWvrg;sIb06?OG7dl8}ngmvXE4 zLgVGww=J$|_g;2h>nl{*SRe=+qY9K2y5jnCQ3PEK_sg|&kg(2pG0);RkPsLuF2%s) zBoa)9K}cVaJeilMv@c4%<6+3m;h&3)YU6Y2`9|~_NP1a7C>CaaQ;`=We7ga8yXl-s z@ukVegLE{&KRkACa zrfb&A`A!S5W(%>#|Ieq{;-TXCaGk;yq}lQ4abm)wtMjx@cS-t|wK{$e1^5a=>1_+{ z_&4Ed!agj<;v?3DQ0n%CYE>DmT42cUwgjXWFZ;^M523TXE{F%?U_*d6(1?+4d*i=n zPa+EoXu_SCg!|VLbxgZh)e%3pd0uI_n@OlsZ<5|jF+MBaOXMdx%=~ZsIZ`8F@rbiKzs1czw7jP_dOcqYz|95hOS)IylTBIIN=y&wq}0 z{`AibGqHjcC>Ish=@QYiM$tKp9I9W7JR*a_QIEPE@e5dQVdcCkC*BWn(t8=bo>qjm zYc_u{S9J{+j9%|+(e35~qa5k|!ch3nwIW@4BjyurpXO4lMO9;`(Ydzg9u(gOs`6pZpPSi$tUKfRmH(Z@nL@@Dh~#B3Q$$z z(B}EbTI774@8f0_JEqy>jeGK)dp&HuJWE6wX^hMymmxh2ronv+5Qd6Y>h&W>LO-zF zAR-NH!~4W!&^-w5kO~xCmxc!W;{6$V2E91e;O;_UD5v!TW=ZF))RJ*w#A(S#ie+0Cumv-4uRrQ+?`M?XbY6!?gS|A7Tim4 zmr~rNxO<^;^LyX_z3czsuC+hR`H-_tX6D(?-p`yf1J#kYl@i|H$rpE~<6S zN)i`DJY0Ll(i83+$8fV<%7RYq8*{$ii`vP8Z}Qt{k)s>UjY+{Lqd2py2HNjWeHnbG zx}?cj3PQqJ0ZJFN!gp2TY1fzmpnw|qUC9hlY`1+{>V#A(!C2H^$ECWHHSY&}Gl16J z-*-P%JJLeiw+z=3W^eF;49=eh*9+LXU2N-g+X~v#LTlKICdBhBBylL%S|B=Eg{dbwRvGIel z^zBTZB6V@XV60^vYFE_D9m(+8s5X}vjG0`R>(qS%UVinm!ppL|I)~b<-|dX0bV=Fd zo*roiX`aG7bT6c6;dgH$;~5WSzz>X~H;C`gE4r?l#NFz~IbNQ!stS9Q4BD0q!mcX< z(KZ0qcibxr*)asy;mt|s%Q|K;A7-+J8>tWlOTxdMu78kJw2j#c-J!d}yX_>-`DT6W zPX7vmE5wKQyzO^+hVMo^=jdds4w|W_@Tq1{P&39_ zHf!2I150Z73nH3rFjW!vgx8$0ZNuL0!6DVedUwT-**y7gfsHq`+O}Dp??VfPM7GgRo|IEOh9s z!7?mOl*Q*MAAbAbpEkkF$)d^&n@6X)2Sv(vn)L)^M%S#IqN_ID6XfRFJV~9uzt~b2 zyDDxw*n8aSnxe4yHk%e84k0&i2ECuq1launue{Om|8B39%EAV=oM+j~`<7WKmz(T5 z*={I=plxq+&^kgmoRfe9KVEue;$j+)5dTmvd$b>;Iq?%*wp9abXwlTSIl*oxR&NWC zfP!`S--84L82MnLR|A`kvl5k&Ic!%?ig3-?(<4;~K#*M(FKDV98E#srEk1hJiVAdZ zFnF;H770A+;F`-7Jq=tyJvNh&<1Axotd@Gn-+G60F0Va(0^ftZ34N>eMxwP`LNFK? zemCK>!BD=Jz9O+?3V^o5rf4KQzC*8IM7|&mRLC|XXTAKzMNesh(pnuh0$N-z76|^f zBhAJzr(i@)F3W&`G8$heqwE#i_GJaySy+w=xFJAaCon&dk1itfrI> z#|6Re#vs4B1uwL97U(p|D}W!5>rGbi#g9{)&{CIWk#nn62)irGr|+47M}XUn+x+8w zlekM(D5?ulyNy44x?G7`NTI*$EK_OGBz>NaJ6v2h45 zmY;oeF#8RSN5L=`4vwklsR&O6xo2m+MnH%;o}4!8qot5r2$AZFW*3NdNiH zYcX7v6-Vi&0!~3K?6E+sHCmChY+>m91Q>8%X}H*@%MkEm0;#x`QCYj_l)m`Zrt-I6 zFJsR!rg40uoBc`FaUe6bwA=C+W>@Yp(E57OoQirZ0c4V9H;09x%dMh3R?mODmzU?t ztuWVZh~bggG!bm;KP=Cd74ED~v+EJtG{IpxTN;5Y<+coW{d!#P@_S%mY90jei7m#! zS>ML&bi5!qH6fh^WM|{$9}0CfUoOc#P1_G*PE7anWx72=s$2+%Op%};6Y>D3#B6`# zg)|csHVnKAr0GZ|8aLbToc|A+XWLP@bNc_q;~?;O8F&l_9o3vxcOzOJ2iK35{|7Yw zm2M~1HPZ0^1+O%mD*T_Lb}FdyNz(aWbi4ipNECh(?N$Q$bUml3xoLye%_toX_D_-9 zYkWQhzatQDQ#tZj$vdP5iwg%V@mC-C^7#Ed%7=%_X%+spU8~D;B>&O;{M@gMVYd9! zk{By=Zj)xvXCkCKF{|d+N>kNcL86;n6VVz_I13>obo0J+z>x4y)Zwc?t3j`_UW=2X z{=2ffEvJCI>Kp3lA8)kxadzDs#7exQzgq<;@O_$d)pTlk6Kfb|bM*BModOOj7JX;C z8G|_E%3=*=)TKQ=77UCQ8xhlqvkRDBABMJ>PBdWUQ)uZU7&XdJYs$Lm&lrg(t?E zlSH3%zdz|NpXe(yB&JLhXF0p6)GREkJ}%Z<2l~9Pzv0*QSTlEk-~DC$v_KKB(>!$C zQ0qg0D-{NQ!UV5>P6zv^s||;{5@uof_WkPom&d@RP9q+A3>O!H`*j^Z(FD^l$4q^!XBa zcy46LeuD$K=tOTCV7TeCC{Lb?(1eQ;$rB^O6YRT?a$f}(8S9|eaLc;L-}kWJVt9mu zK6%*N^2i&BmeR@tcX;GiGT;}Y80#WejBrqrk}N8;lM8O=wc6wvPV{n~$)Pezz*K!; zN#grc_s~yQc`iDEE7>#7ytJyx0R95st11WmW*1|_nOxC}^5NPN-fvk%IMS&;v!fq` z*<jXbKPtQv=N z830ABoQC3pQy$ThlyC9N2H zR#4J$gF7VBOg?fR?7wgt7+Pw#1}ya_4KmbmP0`(a?>L$7_6Um$e1Ce_x)SzFYFD>K zPFwU;xA5?>QrvmDP)^9}bUK&_HvnY)pYAK?033%6NQ({;TNRFlPjbKB>VVb4IjSts z7+8OK^^F?=4gl8kH8XDLbq+F4euFCte~lJ4L8A8)TE{deCVa^5Ewv4NFK0IE0|eop zx%~7W)3XTScE^Q&?i`?~MBsr_B0{{84t^br5Z|DDq_;VEh7-m{PYuLmO&OzHKUnos z%K32Xk26PW+YnI4xzgb}MI%*0Hed(-rF_ALRGprn_MK6x*n3yqZpiGAl~lsvU;-do zTD|>pH-Sne6Zr^y>2bzzaSChc8=Qh?MB%RL?S>kEjrl_4J`{^M@4h`)!I{hTKDB5b zdzA-Tl=qld`uJmG+%ObCVA@*}7}~ws_|0{hq*L{x-NK+6#ZiyV`Q0vMZm6O2^xwc% zLe2fyO;70^W~H+jf?KQ5K<8Fb;e~k;d_hRLYe=V!|8k=$jp&6CRQFBG<;|VwFT*8Sr7X)b)h!g^EAzvH+)y9nAB2LZ1 zu^kR7Mzdc~X~hY*BexYOe3id%>50>=CzG`BQuo`JmlKRfwy~1*?S@33n3g&vHBTLy zRQq_{0^k#&i4|tBvb{2d+AOb|F%8{M6R(sO$9bg++y5ON8t^ZU~qASAxM6j7Qvw8y>$`foP%mE#fWvIlb=rg0@kXb4^x<$gtad z89bS-*zs(B;$0$wND~du1=LpPY&P~(bTrK|yffUY4M*90 zO-JD7Bd{LUZg-q8tSmnnhSGzil&~*xAGhZ*d9wfoVjL&SAN~W48^Wz~phhH%FrrH0 zwHD*o(K5Gyfo_EPlftQ|3-ah-sG^WT*CTzx1>{!=zhgtuW){8ZDg5vl)Dqw6kX~qn zSLGJa)_wW&aWMUOIbkk1Q5Q>r6GxrlNaNG12gDLGd>wf!Qqe1j5#+3{IJoC&eK7kn z@T=i%SFz)IOe4zL_~rX{E!0TR)bt824DBszG`|(Ud-N_k!UN)%ia=-0PO1Hg+6~7P z80vk|N9qzq8u!MGtU$o>GSHCL8;J6@5!A{fqP|Tu`ILr{|F=u>7yagRqJf{^xb<*0 zP?D;J<`3?t<)-kZni!k8RT~dr&ECR~c3cTZt?@>^O)zSC(P1NxPnX2d`=A58mIgTA zj=FXW&qeKJth*9Z;j&wT!Yx5={>l?)tAvGCb44gD|ke+bPE3D z=^R0o6$>I25*7eW{hPjiyPIXoDRh9ASR(Wlkn^k4Meu9O>v#<^a-ITJB&P5Cf~;Fv zvqzC(5Ml8P7uXLvpWM@toYaW~Lg=Tx(B zV|b}Q383}$XC%x%x0fdi?yOGTLT6WI8*5FC12>)k?>mxD$R`W_bSGV1^Q^bUG4=Fc znO;wl+Ym|Ya^UVdzRQnfpnjS*m={fKx^ew3Hs&qPAoLp?JOm0c`*@Grote;fAI=7!y11!x7AJh_#ovo`_mi(d5Q#~pX4=$x~c`T7Z3;>q^l7P6 z^OW?*18J=dbm73=jhn=8_PmDLV)w&f>x6eg_rr)K=J3uZtqDKg_C37?=R-ILb=DQa zqUQiNz$F3XmH;n&EQvpo_efwiTG^Ri*;#ashbP|$DJh?a$E}}*b3-`mC2IofGGqm%)-h`&8hT#wP(26!E+;H3R)o0fJ z>y2ZH>Nzzi3pUT36Vh0ovyj}0`5vXeHMEj$h}xm?xt<;~6X2aQYQNP!e7>4=XAPgH z%DLjj)TkocGiGHYD_kQF0fu&QdlHY;MmuHI`IP+%tStDT;Ekf{kKa6oK}{(HS?vyP z@Vor-+HhE{1==@5Ixl8=U7-foVTb=LeiN84J52<-p(MM3?Y_WO?Uu38L>5mFAFhW9 zs(sAIutpVtOzl8;$I~j#_!wP{w@$KC%#H^|@M!B_TBphzZa3h0O+;?V(uUW(W*D0z zGFrfS8E|agY!~>Qd1b5wHC-Dol&+F1|I@gPGbs}pDs!7)QH_a|pUN5w zFX<|Lh3I%xFKT{$2cRAKz1x{a*-W75;*hQSkgX^zJGP0t0eE-_zaR=`J7~+*)12Y! z(|Hosl6zYHF8{Pj9$k|&4OqhMQ12=28N&QCy~|h4N;2;9P&KR@ob=-s&|J2K|z14 zmD&x}_q7bc46>p*|Mbh*n2X)i8SVT(Nk`6yk=uEEnuEMhHC~)u*sF@ntk5ubOG<0a zx3S;7ey!E?pLH|?Q}lJmao9|R6b%XMp0Vj^ecpc^IpQA5>b5K*(B`<@U>k5oa{`+5 zUWzcCVbT+hEk4>Sap0h#K1NBTEDVv+sriZea{0J&y@`3c-mZ==e2^) zlP&Ab#L*cI$8i=;*U=uE_$q)@?B)d(&1B4kTx`{h{r7OTz=K1>JN&gd&e#9!B&tB+a=n(nQfMma)E8j$;fGUy8SNuR zn4@d`Qp#_!o9GL~2)cx5=DQ)bW{9&^Fz&}F)Wmp4wB(GdBSHaIS-~%Nfmw5^=ACEV zn0j8r&P%j)o)(G4g&z?zZ&{f4uk_UhVPp>Gc!@JQ>uyr}st@!RpfQ5|-8-OxOboTj$8*=d8QNq0yC_x7 z@aXVo5gis&a9{Et%r-~v2m?`f*z+|wP?Us2f{K(kWDq2ziD5+n{h+5C^e8n2ZI$ZuiQhSEI8no{NpQtS* zFLb>N=A2|FzoW1NI^GDVTJHVLs{??+tC~VAev++}5}&di;~on+4&zHiN|@q!Ciht4 zcob4=S6^Mx3JZuk3L65Pj6SBO>=P__EDVQd9~JzpaYnClmdpDA_D}9716!fIe*%7) zW__h&W{rG&ncm3f3Y$hc5?{Qei{`|cG|^Kdg$~o_(vJ2##(_eAO;OdODf^duh}Iy+nU5d1dJ zKz(kc?jej6)HdKYOh1v8GLXVCy`-_YD}Gg`+)0m5vE@7VB4Czy$7_dQ0OU>+<1a&9 z%S|7`7IR5Jnf{`Z%gq^6h+lv%0xOvXF!RQ~2DvUG;RG}ouyFpo zHBKKQO$Bgu`6&gvPoYtXImNg=^@$g7VcNr*RUEq@t; z#kwsyN`3ax+V~=4dLya_Bi^I(ix3!FcTPrp6Vy3h& z*IZP7*0?;j#K$#>=KYRfs~2v5=Y&s_wv;X67Rk-U@?7;C-y>5x10GEqDnhFU%n0Cb za}TWIUu_MJ88Lx|HR!iOG<^m`y@=+eImxL{{vq|oLoGCCkNsZ(|7leMWX{iT_F7%gVvJqno8MEl}MqY-q({U8twAZ`McS zPFV^C6%LK|lhktmlt^i$pjD;@0@<>&%^6diuywJS;v8IH*ND zfoWkC$avVh03yNAug`LzZPq`DiFCSI(@U7hKF6lmpL$)dfZ9^0?#xc60$=xZ$ zR@exuP6!u6{juLL$ZXr`Q|d3AaZjX)Tb&XkygSXYQ0u~^9M_OJr=%|x?fxNM=8F7V zmxCkDc~qemR%xgHP!aLoxC`&+eG6ucxw1gROzBPP?j6GZDLs*w8OHb@CY=Z=oCt?@ zO69BybSQ-Vt=$nP5EKHO@X9!RQAT@hiJk@}Nju@eS_;m(|dVeNC_nn}i=ba0^q zr}(nh-~2C_x-{kd3L*c4h#Q5i{{gb{xO^PB8rpVhPEd{AiDSGt)+Une<+EkR*ccNc zyoHZ-oDtq*c)web%Y~lk#PR#lc={^F4T-wQ^j3^F<8R)yt1yYZi9Fn)a5#Iw4wo_Fl;>W06DWo5|IjHbpyV9YO)y zxUrG0tnd|VsUt?$XN!E&b!+hS#F>vm1h+<02bL+-hGzX!Q2U4Q5}F{Tf>5qdY>|_0 z`M6L8>ptijWB((LhijuHPwEzuKi!b4ZxytVQW|CKR4o>W4)tQTG^7W&Mr*B6nVIT~ z2kLQYLR>w4q99!6rPqDlgP=;V2bWC4NTnI1cz|u&feF^k=>5xlIj)jji(K| zW{lBj>LgVq;cIOLDnRS{Yxbz2T*`l@E8UyP~I2 z1T-B>ZMHUizNel7ehvf!l`=<1b@J6BWRsUZ$luLpl;E(!@qF_qvx12=^sgcv3G*i@ z)r8bGd7&ZEHZCXT<_yg&OlTPe7Dzap6<>>BH z3bpo1akCHaiwdLgNk-B^o4T8z&DHuQ+`mTXae6gO+s-`u%A!$0Om+AZdt80qdUBY!p3bX%J*Fx);9XTV zRwa|Rt~hJhcI0-URldJF@-T7KfjG(gOUqNKfiVjZvnm^-JOM+jy(iXQ{i~{J49i)5 zS+*()c~QJ+dPu&2opf>@pUY#W0$pP{V*ghsBiq$X{!UeDq{X6kzeMH}e^Z~l2WsXp zM$z$Jm{Z%D?T{f*glTU;D(cO6-Ye#AP733f6`UZPuf9s5{26-r5xWyN06Tl4p^$%D ze)FJS_a^z3>xUh2SJDs3sJBiR`9qRgX`(vJH^A#+2F-(GDf9ffi4WEFH%cX5qE!25 zM*E6_ue;&#+J3`==rt+?MH`oD*3W3{p5YMM9vUCS88HcAZ--6*)#|WqU~lG*V*g4c zD!9)NW)3U?vQH0CL69}X2=Oi^+vW&(y@d6>u4F{ztXyC_b@861)!n=Ce-U|NzjIvI9F$y$uubPA%n${dFZVy6Wka>xdm1nQzgA>u5tx?6W&5>5pFg`H zDhiom@pk&nPx~-8`O{6s5xrk_S0)Z7KXcOp5#cH6+rXsdiZ zLNFUR9dSSSAcj7P(m7C~cQ?6d=Br_%lQ7R_8CrY_Hli9WY&wvESZ0ukD)vq321b{7 zykW?IVWvlRYg9U8|B~dS>1%JUyHE`Urn49El0gLjSiZG0Y@2KrtomKeLS!ITi>?=5 z>E;v*>>*IQt93&OgREmALReVSe4XsJaS5Uk$6x@ITYt{Lf)=s6rv84rg1lH8 zLR%@C(}t;=!Y4vM7!WL3-k@)b?xPdbN3frWF4^luuY55wVP#Ef#j=sAuOs~=_O9#7^hT=sAvbCg?U=TKuI(UuF=DSK7q z0FJ;D5}hwWcs)5KryUa?({^QRi@gR$5!b%h-=hRY(CB$VbitJ0F{6dr+RSlmElhr! zH~7DVD%z|rVrA3KEr}QlJJOER%WoFw7UKCfgQNZ?7A%qtu=)H_3zQs{9N{iN4TE?5;~H7Lr02Z#Ss^O7N0VZvmBZi7TDl-JWeDp*xm7 z*n~ka&~`|m;>hN$NKdMTW-;AOh?&IqOZjc?vp3yn;E11IC|q1gKz+f#oEax|Rk*KD zklXKp+u%+6%!ZZszz+t_8azpWcV39u7WRGT!;D)-h~^3XPi&$==9h0nRkp`kW&Q}M zMNBk;tZ&1IkBAcI7?>*G%ISTIsQOD>`rw_``zfT<$R zLtSbS8)4@{pJhK-&B1Y~?Wprv;0U}me~Q*Zvm5ifUC!7LiMY|QxZo2IrET`8u^AIn zBLcQe>0gVu&wA}MQ^AXWVqD=-J{fx&34wgY*(yZ_vPtx<+Vx`i)|p)OG^^)Z)yHvE zRU$ty3`mCC%>->-4(zLLbj~adfUnF4vg9qTBcX* zrAU0p;-gl?6<-N`a>sZiCOQf3)`ihDoFs6cF|&7u_mD=fxz}xbXCl*KXwIoTw%lj3 zt6?~nb*OMY`#VWAr`ahK7-hMD>D1pQKY7OPdf#1P$Z&=ZG+WyL#rXR`s`4nC2ko+2 zb!h0-vzE}24=-EuaK40_FEIz~r@WnEiH6sW)7MMd9xDetLH30ywj*zlqv7VtuBBDz zUkerYQ&B&>MyILx7>7ldY>e(>%Q3Dc|KS|l?Kd>&0``Yd^n`TcjLxzTxIGD#e4n%S z7P|3|`01~*)R)#W9ipN`*?_vFLcvuGJist<`$`U-7Rw+9$xe)LBzy0qjRbrwtWB2k zHD-rty_2;?7Fl;BL8<1HN;AgiH@1%y7=y~PfEGUC6rvr zc1a^bBV^1rS4x?!Imw&vp!_5BBT0(&yWrd}EAO(TMT;rnBtD;#T2UkA5VFFHu3B$H z!sCJYXV<~{N?1^Qw=_e6O@mqc%kSNUuK_F(_;r>YbQva?P{bmV;_@@piMzX(JEHcp z;`XG3#Bu939Wrc7KY!$n`!jmUw-1Jyc=XEo_S#sOX8)Rw9HI7VUR4EebNmbV@ zk^ODAcc@z+bK6hem@?U-wOAxPyobtXi2wvH@AyddZC_6=pU;qA@}^I(9c2?4-BvMcpw<+e<|5Nsj+;DNq)o6rz_e;Chd-p_+YpjwmNTv?mR*yctf>oJw9r?3T!2L z7qZ*MsBEX}#}A+oCu|<0wbBSAC9hPh!s1(V09{=U~`yIRrHPkTz zmuxA{;7#5O>i{gn%aeir28xPPN?Bl?QE03c@?>zEH)bU~a?TC(g! zzfsPg)bsWit@VwN(w{3qdD7JmK4Nc6D_!2XrLn|$dNR(6d6 zW;rwFsFm#$pkJjIpcI9LjwE}jv1!ayjKEe4V;K%g(1o753ub+X-bQ&GpPFuNzxk}M z{s%fB|0TLQ-BjSM+Q}T1+bahnt3^t6wvDwIh(*ZSOwG+26(MYi-zfzWBpGr||Nc9q zj+5D7l`xp72=R_C)@ir5eG+`6b~f_&Rd|nNI(4t5Ma+J%QAwGOo*sMHx6=3QOQFdt zA~RQZ*)La&UJl7lz0>wBWr%DLtQe}5iuM5x9RBW%?61r-|5Mj8xxe0`lh@;TY@-bo&DAr75tekix*-T@b_I#ZiRw|fd z=6HNVd-Cp*PDN(bFhEgcM;r3GyO3Jy-~iw1&y>A2bch-m>e3OlE7d7^UeDNx_lu67 zmd_Av5wB0J{;4dwoVHXfM>~6%B&M{?K`@XSY3Js-UIE&!+FeSdW$2S!%a{?3(`H|0 zPFHIfs{NAQl0qYWGrP-bvi;X?|Fp25N5>7kX@atjumO}%V(tCY!|5fePZ7I-s) zxaU{-YS>ccq*AS_^r6S%QEypz=cVb@=~!V2ZJ~DF&!(9ovc2rB=&%Q#mle_67nd13 zM_@*xT+1fp2b;W2vWZ9=Ug?1~ho>5;*pnk>`Y3MzY(gQ(d zKE1WmjdbgN?mstLt^#!iz9xL59n_sm>$Fc5R& ze=8xEksOM>6d?|8UHfw3J~~S?_uLf3fT+@pzS!0BQIatpVXtT?Nn-r|h;;Zv?C@u^ zF(?8+M-292WGDky8aO)P`>?%icfQ{Y$7H0Z{sOfp-p+qM?UN5iiR@YQzE!njM$iQa zwi%9(JokJ}faN3>a%vgggE#v@eytkEU2lC68FTuxpgQNzOy+8`ZVYHMM>UoaVkH$8 zru~DH>o|FJLaQu!^=r}^a~u40$uz=_k}=l;{cRuiB|h^56=u(?rwMW5%asa&AG~uk zruF0mq!KLBqA~uC5v-Jxl4Bwiu_zi}em{hg!3MX3-VU)|4kpu(@(GNIHNl_McQhJO zwYy#X<9kOa_gD2mk3(%*sf-&%PKWiu37>JQIIclw`6tdOC47MM*m4z3?IAj{LZT(H zL6A4aeaoA7buuh1*TA_h2}w_yV{w@X~lj>E^psU3qdf-1sZmAh^cvqx9_J z?g)~1M)^K%+DUpUxYQymSczKICykza;#NF7XAmy_(vHqeGfUJ%VSgff=CWF2W+3YG zc|PuCCw>11i#t8TP62-pat-ngL}T>tXKz2TUozUm-ppsL%NI*6iAtt;2C<`U%TD}X zyhm4hZQ_V5mCXO)cdc^wYZAEOTQhJzLjat|zVLSGW2br6l1%ee=k;04IaNgDkMv8A z(9J@BM$>ux?LjY8f4i&XLf$3}(nMpmC}Pjb@#o5Ks(oEt-T&Of2VsNqJC}{N5ek?> zB6h4IqVE<3fDg|DBWMysy!XNrreduUh!XShx?Lf&?=C1Lf93yJn+?$(L0ZX11d(Ug z;!N^KgI=)k;?h+;Qp#p8RoAuZlJ9d;wUjfU2#}XFyr-?YP$*E$F?m(Rkg^7)oZo`; z)uLPz?CXU-MvN6G1z@{dU9y03(QG!E-!RqM4+~9SP~n^`HYoU-(<)saMD&Lad;ndh zwt|6DGTb>{#=i_hOzK#6tgy3FX+wf+2SP*=4@;9g?5Lla4) zXFI|4yt$X#$(+f3et-x@lZ;hK*~|YjrgU056Nsq3fBy~@tNi1!2rJ30R|I-X=XbP% z1FAyxSBZbBTHhx3`xw+@aI%WM^k#EsTiU9*vQ;PE*s8JABiOV)lsgon)$NWaFz^n@ z=l--I2A+DpPOt{OW{)_Zo`%G;BgCRR-b)+Ynwv0Xu;N9rC$l$XcOfooCY)P;ii*3W zGZ83OBg}WilOn~FTKll=QHd$T=3ap`nPo>g>GI|5?pV0iDiQiN=#6+r;8bD^VDWP+ z1&phqwal^3CZv+AK!w9oV_rH_`jsRNcboWRp0$*spn#$v&>}0FNOjq79iSe6uGGo3 zO39%1t@QQe3NG=!-O{vt7io1`4+FhLGu4*776yJC+LX07)l9A#u2WxHfL zvNe%3)}lh+gbA{DgiI|0S&3@@O%VKhh7+g#Tkw0{L#IjR zWr%R>(!Ll-qWN8`kWX#ZD6Lq+z)N~HAo{O^7&v3Bc&};3z>@K#cVzH)WCe?AX@Y`N z^{Eefx&lk(4&%7O5=$zZIW~K5lh8QJEla)=j#6g>EN28O8Gjz)bFH%CfO8l6ib(O& z+={g_$zYEP!uiusIn`@{HIjn-?T2p`^ruDD)F(b9nl7cxiLKUxFuMQg$diu_;PKib@E?lL;pdBgG|eM3%5SBwtT9Z*=`Oa_+jNr%p(eZ#*gC z5MxU36)1{8eNFqH@Zp8zYk+k=`Rs=X4fICxFu4`f=PXG!+>i3pbYt~~M$;PaZZd`2 zHed`%Y--ya1MieCbNVjD4#QMnXB2_3fE2EWFC=v^1fn<(JCPz@@ zgMcZ20RBtT@Q6szxF;;*5a0AGK4CSeACA1vW=!J=WtTt$d|8KJi-qcohwi^c0aWEa zh^GLT;hSeZL{{MI*?OI%qTQ3T1jcz>j2ZWFeJu#O>Ra7I2ZLYX*1U&=g>aFb zaC11rjcq?>M$SvH>xZ)I?_h*3e3k?)@o-`#3HcG^di;k@BXqd^5MJU6OTfKmA6Fo@ zng3hjTJBE@+O3rS&KY)A4`<)uV*Qd7*Ka6-CoYf58y1h*&_8#WpN|XT&O0cQQp|jT zSW!1;=!(_}jKv8~ZuMVIvRD(@{jw&twxg_U1kf5!_}}SKtWC8&UE+~1F{dA6@S%rb zZEkj2L~wXtWKdX+07YOM!Wz{@EF?5XePRK$T$Rbg01ZMa>u_gypoR-!R z)L*x`nQS?lh5{3MG`hsLT^l7r`#~$}r_t3%9(i6d-&eUzoR`h|{a`Yu-~m62jAOFi zE5;Oji&3%?HRM-?qioYmCRVuRpCrD6wC(3g(){?1gY7+aj~PG_<5<8?W@&B)yl;_)*u>XpVRvnutrB<4bt5E=;|+5p!FTS=L| zB~zDzOX~P(UFVxhOOTn%syZ}~vmPpcxuymc;i&&o<|GJ4IT8=y>@r=%Rs&(KvTkA? zV}RsuVs#;Ch?10~cLwFln6<$R#uvy*$j40o8-9VwYc{sePe_Qx)hUuqYVive4Usw< zCVOJhyVZns;|LF-wz?ubo-QUZqyZ+N3h@ZHKeIMd;T2xur&0>KLn8&1UG_Iq6IBmh zbM2_}399K@XH;AZ8#r4r1^B2?ptVOoHz_J2*3j|r(cd4*^=Pk&s&<+iNZ64wgXHpw zO;H$gV~8Q->-aBnEhTDS;{f!&qsNLz<9YAjL24@WZE?1QEtE)m(?bH;!aR!VAh<4C z8Qh^!(uKj-6{EgN6b|D39X*-dQKsLx**wLAhN-`@Cu{<9mPqC;XEaS;Q0Q23lgu)qD^O^D zK+d0XR&wEoJUGYc2&Rjh?~iYdqgf0gr|3>RQCSKT<4RtIj&#`$6?<=LcUD@=`&tN& z6I#W#XlUgZH#`t;M^-m3;knA#W3;?Z@N~^6j8xKo4)%h9>QGg5O6Eyi0K$jFzCG_S zY=EoJd7W_>D>R0+}c+FBSd zS^t{l`1Mg6RrEO3NCj+)Ojaa4uDJIHS@yOZU-%vmo>NH)#*5 zozt1!tDI1wpLcQTUp4G_HT#y1y-`kWVDK^xisC5)(?S)b&cqr?wkD;dDK|`PBQhi| z2B*TTJcwR84y+FiJ`tDebqGZ=PrXa-#U4qOphFj>pqC%^aM4(x>g+nK*gKTij#LQ! z{f)WvLw{?jJ4u%L-a4kx8D7AMuR$$2?9aaZwUwnrZ5`386e%jQIFuNncq zJXum^O1boG8brxM|8_6GCTINVQF?Z9gkxe|j%`*GD>lnF)!n-i+_6|bJK(O}3-9r< z!Hbvc+En^6kZPJ!yLJ?Csz-r0X1Z7{`OS|0(x`0lv|H!oYGZOtG~^W1%txJcm5Oke z9;n?DU8wm5vDKh*6QOlEb^x<)PN!GmBX&avuo=CNjRSFd){f2 zz0@U)s`X7I)m{og`@`p}h64rF*WK9fZ3xyw*Z<98oW;bGhO3U@sM{`S@YQTT{p#(Z z;J;720lp0B_)M_nC6~Ubasl*I=1;D2AF;o6=kLC9{?gH#eCb;&wk0|6rB!GOmvtWc zguBJNYcgD08pLL6F#lkf5n2B7lKUGXj=ewjJdwYfrRO1vfaW0ina^{Y-Ve#aKnFB4 z672024w-;^bD`BAmI`h!WW*A!<*7X41S6gXHRXq1qd^L8%G<1Bo+r8Ve^!| zKEF3dnZf0p{?a8)sW2!mUAiFX0BCTJY~Rt=VcBRW%6~Fn`{jBTobG=ctKC2z00j1X zIf0C)g$@XFg16bF*8#u_$J9l!r5tk*bct@$#+y?Jb)Q%1yu3O-dTWMWz{KDOz4frG z$x%sL35D>cgVlS9_8G3B_p3x?UwuE2eO-B`EQL0(fC(hoXn(@1IIC*^mWL9RPk5YX zRjuFh*7KAzA)Cix6oj=0@)^Ze{LaR<^-${G4;}{p^uOd3|4I4#Tts7D%Iy86^#G~a zp%kp{mpPoMSscMVheZ>JT}UMQxOu-$DA^jn92`ejC)7zxxB2q`9jl^Vny$ZPk5QOt zUP`Q;@>>eoWpzLuN|g}ZQN3NX!}ei3mksho)q6!)a=CNQ2mY;$rGNYV#ytD3#+JDC~E^Lf{OGK5s^g&7L{J2AOb=N2%!X$s1&9D6$I%E3Mc{* zLPAXP)$MzA-#R|dsy^AUYdT%$A8r{^-8`^ULpJ{U$*i1{48b2?y%AO%I!1Vdyuk!S5MxW_q}`H zmty01fitZn>@(Nv3jdz$j&fBQ#a2hn@>Rk}g^drQ-efdbD*060c1$Ta=@ovLlO#G? z3VHO+B2_%_r+UKvbD2@^RMt<n|4}3PzWdZxefp{4C}+>sqkq@_(s8}! zI>bu|^(pHAae>}6tzBEc7p-pF2q>(*t}?M) zdt6)ka4yWt`M{1m+xkE5-Y)+R+{q-9jN)}?7Sn5)L7res8@ zb{AgVRy60|Ra2|>Xn6M~M%JTu`qkBhla@Z1mg40J%>hA_1V z$=H?e$h%RNafN;u9Musna*<5t8JemM9l#8NTpBWj?nlDg=Sd&VKEeJO{986z=e#Yk z+sUr~-sC1hgyf%MsPTeneMrZ|!OKP5?!Std?ht_xQ5l78{cPU2FK<&Ab!bER1$%c*28nLmSOxr zO?Uh;cu+Z9(m06PvQ#N*CLAqKJSIbldxcC&Ch_W3gvuLzU=CfVcPZ;_q8yUwKNLA1 zM9Zh6JT6h~%!TdnBj2xwl*3`W9JmaRqS;>)*4$@f|1HYWjEX@>P+xehuXMhLTs<4S zS22GR<(y`av?xJh;StG3#3CSDCtkuFl2>TQ{PpDoOE^CyTs{fkb5b(2K2^X=8h1wE zpO+nAp$q`vQeh`#u0Ct&MRcgdq6M*f>;U-%6pqJ_5D}$>n%clIpn|?Iv{?!(E#-14 zw_LtHgv85*1vI#L0f{JIS4f6{a1jTn;ML%z8+70j9ci#IG*kdwyv!luW$TP`Iky0) z2pr5T*+3{3Xb9O*4p9CN7Mmzy5%F?7z=_kgt{@EAr)%I|1@y-L_yS&9124Tt!*^u! z&pcOSoAwvCH;dIwaY^b{xUKeZ3;SnQxNLvT`ZCwIoeOVrCaBRWikSV6@{#ZU%7CBU z2AM{_d$B&!{~7n}5bu0nqMNYVky)%=#s(G9MP-#{W!cZlBYHXYi=Y2`afr3g&VtG( zuSYXQ$)|CpZxKq_(wJzWDPk3Amb_wJ>~q(0M%-4HHoTp z7bI8#7cDF6Le{OHe2QY~6577Le&}lfcsTt~`_rYr8DpDooiMLGJdX{$zJh-3;pJ>n zTR$=x)D8hfyfEx4B2d45=No_=Ka#h$qvuO*N?*f0obSN`x77S7NhZBkl!P?9k$*+7 z&Lk8nkXk|`(v3!TsWHTgYfTD+>IaexNXgKq;pS;4NDCyLVLDz1!oQ19gZd^6kpYwr zo}~TEI5Bq^w90y);4PmH_T#%eU0piB#f)f?@%kjiO zcOvQ;!+Ze4H=gl3Ng-{2Dw4L=zrNpa@)tPDPc{TpEYujaP%Q@J@&bTDN*77|CselG7d6mB5v3NcEP=Y3o1+0UcjrPz*BB}a7wkEfELjs4;&h5=h}Lp{c@NZUFA;Q z`M?NQwxjf$d7=pXw^*UYub9Qr|lUkqH=N1wd*ZJ6>+S`+~P2X*~Q~aOwt?bVF zwe+5CMrRt+1yP4uw*=axUc_({PNmbmmBQyV9Cib(y_X&9BUSLG-aj1mc%NGkv|a<7 z0nT)dk$uw5UhpPO=UiVz72R7FKBwZi*8t{6IrWpeUM#GF2v5m2G1XMQj|Ggc<>#S) z9`s9(QpQgvgCRcN89!cZT5#!zM%-8Ina*pUsC@=7t+fmArv;g-xFq;h`#;I&7UCY` z^PWyPSU$l${1u@p*WAnyILhlp)Q?Q*f7WMfvB+LqoJKb-QXe9)_h6Z`?74!jA7hUDtwU`bGub=!*NiK+9mDL$T0`y1x40u(I)rx0=H{J?v^5N%BLnzwTPmT89JR}o z6|ekXa+mAtqa*S*G~tcAum?u@A-7HMd5ujys(336EI*qsh`l(rhw+2$UM93T8=BYPkzj$e`EfN!Pzeg4)OC&=%NvQDCK*c2 z)KDLiM{Gu`>64dB95;_zN75&K?5BO|Cw)w&e0EQle48%$XS(DA#iwgBTBq142vq@c ziU&De1{uE)-57H$G*kIx_F`HU7qLm@2DUhFL+Tqf@xb73g4&dRU}C=Upn)e@HjWJ6#DzouN?UbM71 zYsmgZfH&}_1t4y65RXeNR2r(OWe`x+z{MVR+gB+8kPk(a101MQoG9)JU!6V&brtiMQ7YdCJ>XUE+~#ixH3 zV_lS7Yknkc2;ME>s!HX!yldCvNJ-kJl8Rw#amiTqG;%CC?&t^bXUsj^Cb z%hs^e>eM>K*W*qC;+*0%<-ht;s9=YL$@tl7qq0M*7DNr=r6qY+?r>Bx_;9iYWkh|L z;q|>S)>+=boaqzJ5x-&1%T-y--C162h{|+Qtgqs-__aW1nmpXmm)i^<1lV*mQGoP5 zBW^rFs$-xobC~*IW5FD_(%elF_vLoCA=VH{(0%uj19h}qKc2;D?oxNl`w4@rQ}lHx z+++XI5gIcXcG}AJypy&E)GA4jXkUQbX(xh=Rq?a}hd4$j5wm43*-D`Igb$((!Sog? zxEpqQmQSZ?RgnYSGXDj~+TxTokPcsIhk?UyVXB5kqPiu@;ghoY#d+%%vzEzAd&r%2@p9xNSUOleKK z|4jtpe_VZU-z>|}`T)v#!)x0TRYs139!m6koK;UecQ3R}^lpT7U|klsdhB#vuD(c* z`%2xjEIJ(mC>G^Hdqu_-TD(ax6h@+B+-J%Sq}J$J;P^(2PeMzfG;2+?ze&r2w?E>i z0Wqbg?W9b;iB(%6YP=}RT5JC%2(fdsxNfbMx!#I*pcnQJv>-uogEyNjwXp{`KaT*; zMUNNTtrixvMjITlCfZxucJfW?PjUq>*r<0%&pcqXFv6JOsNUnWDDZkB^vyy#{7;oI z6xhUBd@@zcH+7oZZ4G_thidi$mKB~nKNb{pC$xit;^NWS%Y-3AW%*h0#@vrMc*-}@ z{r;L7pPFW@rCD+D_Hg2Y;Uh_{!vcBU)tHAuQP7)y49N5K2}5_f69$aSfJs*PPHzDp zfE6~rKDeD0SCRqO@+wnF!S%jEFO65ewLG8Bof0&)ETb^bI;CIBCwSU>^lT(L%9f!X zp~NP+g8GRbPr8xY2oA5;O8gO4&r5y_cP5($Qu0~E;5C2e%qrOr90a&oe`VZ-#jugkcXX%#u#;glh!S4l33h3RihL&^^Ykk=6HP*8)>?K8RdIZBP zxB!Q3Q?xCkSBHJoG|Qr1MvA}R>DIl-F3G{2>AzFMVUvG$I{IpTXD2PYb8x>b))%y= zkf+MJyZ3LxU-s?IO%F9Ubu}*n<;P_G{f>!hMh;e61vMeb0tW_M2Z~xXr<&zN%lS1L ziX|{!9?y=QCZEV!hZc;9B7r{5$U<|lb~~&tCx^vp1i+2eH3T3p2qKf5gNcJ7Y6Z@c zs|8$pi8!A^=xY~nnE3tOz)KjN?GI>f(U#WM(V5S)C9m>Y6_0`G>%ve@ zT|reTVu6DH=BHZ@SC|rGt*!g%0XVpxQnPwa&H|^g480+%S8O0$m+4DwwVRoG1taIBibQ zg;}7|d9iH&%vfl&X|UVfCrWw%)7rZ zvc$p`hXZ?JByp&5xg|9b9zjW>P$MKKR#~$GqI@x`QzTt%QKG3U(X0)AGvBA8q>=S} zPk+xvL5kH9k-uQsk^?Dd1YigRxiDCegE3&Y!}M};c$<;@e{WOQg`V-~lEa9^#4Jy@ zoc}0I)ipHs@;IpH<&+*GNFrjIU( z^9AM;(GQHh8q0<798qZXYuQ3tZ+n0hY4r}|+)=qHjV~0Q8v)x%>2R&jE9(Rhb#Wx4X%WybzLOf+||0vP}0YS;dtT@Pa1h2TWZRGCa=DnLiBQ0!248wvz z2_pIp&y4~ras4imwYs$iv*F7+0V4Z69fYftiW96{Cc)wvlWR`*ocrtzhHHqXpc8VF<~MxC5r72b-o|0Wnutsjt&NhsDx zRjzbN6|$-t=qvnW5NWD$PB0gnO_zJL=ueO^V$rzO`;n)CF7?XaAvdV|Pz~@mGm=wj z^`j0v{{D#&Ej*}j)I@cGVw(Rm$9=!Wz7FRwq}Gm@ndx9!*hSeAX;$7EvmNKgak@K> zS8~y1?Hg-egJQ4ZA`5f&rJOOM<<5j}_~oQd23mirlTV6uH^CoQie5C(D;PgAK|!!s zZ=H>P2)~*~PA$`&n>@4B9Ao_r_v$;$W2F@`(s9aI{b|Ld@tXO*!r0t83p;)!-3(w> zDtfE04s@z9K_^BkgiIy4jja}evH2!kq}oxpy==jjuvsi`=XTgja&nf&wmyw3-w$?@!=4KQ;y4QMDUKB3zQM2F}ee#6K+=y>}{HNMvyLbCD) zT4nfPjcFr$MnCWl`3&vC3==NGQr25?GhhraD}#6x`3mgASW0!>k@&Bf+`}6Qqs{uy z_Pqa^5^(q*>s!&JOAlyTx%BH%A@6c5Lq9roa%GTcp)sq-mK8PL;F)BquE%)b&k`K_ zk(kkY$MEy90(zEC=p_8s>2giaO+cM%t=!T(jOJFX7awLI{&JC2VG0IoTB2vQo>F|z;KDq&AGGXjkl z&J?B&UOhwc-u<#}KR^LL>#5a6iTsdB>zw#C;T;>u&pHN$DWzc{; ze6=m9=dXkj^+^zIuAXExH0znrX>O);OyW39fbor2W3&aw##gmtPVXvf8(B4}38$mo zK;=96++Uws&+8Q2_aj~hgGemb@v2y{9PJNT;U1S3nBbUET){_Onq*~T@#|d%j0j#l z4%y-D{I3@U)sNLWNp6QW;Xd4}gP_Xs4VX5PkuhUf(L=q0e&r!M=MRb9W2m8-#~y!H a{2=x9TiBifgoL2jalJEr?dHi{zx^MgbT>}` literal 0 HcmV?d00001 diff --git a/research/staged544-stationary-pairs/inputs/BORROW-WORD-43extra.json.gz b/research/staged544-stationary-pairs/inputs/BORROW-WORD-43extra.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..b17e2be67e327f04802fd034c344fe4253c13a4a GIT binary patch literal 72766 zcmYg%V{oKhv~FzMoH&`-wl%Tsq~lH|n%LIF#>BR5+nm^TZst4Z-nyx-{iCb9Dz(>I z&wB7SaRdy=zdx|g`HnHP^KvB0hwm0=YGxPB79%zpC&C&$bqGI3NCMiuVr`j16}Nv~ z?yD9rT1tb#k^*W`J|DY2ihsTT{`L84@Ok)ov-Q#Rd2bL>bItVk@$&PRY9S$taIciu-UmGARq~Fw-ZORN$GJ0@Kjt?q1oCi06k&h80%{s;WmdQN z2r+l%LLKk#z1oa_X&-*X`g+&kM#8}P^T?3lJrdV+VXB+DD~}Kd&2;Hi3sw8~`x}WV zp?uT45i$~!U$<`&*^1*P*x~yioCMh)P3v{y%F%>T_yOx~@=m@t*y1LgJ)w|B1K8;bE9ci zW)t<(QW5QiN!D*IhdNp-BqHxY? z2GMNeqp+b&R_xSLk{rsW@iqC?3kJgLNq0u|@J)S!i^2UFVSrdmy{C8}uU0tgS5_?T zJ-ACwMnxZi`+Z#`A&&n`Av+1T}+(VtTR)-%=`X?OI` zb%WoBITrOgv%3u&jIY|cJ9cp616;#;umZ>{`Sfv+uqdI@S8norw8=8^aO@tRR2pLh z%|8E}5MIzG$rsiZztNeTbl9jpYpBuN+viBX5*ZvIMhAl_oK2rHogna#c|>pdOo`#W-N?O|c2f?*fS+?FKo z0>Tt+<){epICu6yFE~+V!<}BE?_Asv`PIEr1Vy_#%Ma*?9x8~}wu>zYML51)YZ4WU z%9{qu%>dqy`oQh59ds^{t1uhV0T8EJYZ#ym16H5+kL{E)jZ#K)#9>%5ZFJsed_GS` zz>{ea=Q6N?FMq?4_#Nb$dkx^Xf#&m#@e19mA->88Aross%Trtl=-Q@;mXB&yTETp*-x|)!U=$P!MQvJ zxeGP*ojZ69ev!pf#NI*Gx<{_!oRdC=0(Ec_Yx}HSnhZyqL)JunUy$m36MIi!aWcy= z=>>Ydd~EcbjdWt(g+OB4y(jqQ4f5-MHK`OX>2$}Or%cr{pkk4L!X8jWNA5c(;Ba?N zWR=ru?>3fUhPGrjD`q2kOv&(v0r~ly1=9o9Ko$`Jw{F-xpj+{yLoLmthDz511UIt% z9^12qRFiZH*Qbg^*~f4b^tL|45U&7f{DG~LIuiD2H$@X+WV2tA_c z;MbUM*ZTzUYjR$uV)xC+xhhIm+D)DgnXJ-~-U1BoTlq z7B#vMhln4#h?mQ#U-$GR>qiAigvn(pOM={ZfRM#|8O)pG=8v!Y8a6Uj&`n-`z-HL+ z;N^uv6=ck~dC=k%&RsvpDPT}U3j@TlB~6Kr4W%L^1x1JT`0Pi*=BY7gw@d$_#@ey%yHgXtj zNMXCYhB31Eohm47DCBQAyOUZoNxDwsP}N<-X3E5xQY5De&!`!?ZsgG0kfP#8ryGU6 zpiz-MXB92UPjM?6QEvFy>Ja{X})zEIvSBA$|pfDK&%@Dh<@%#$3HDyQBEQ=+uI7 z(<^$|qC&hGoj!Oj2?NHh+9Rf{Wn#*32o)xqMZ%4Q95YcCZw0h!7xB05m>78X8RGb| zp6Hb{5Qg$uq;|Sb`brurqC1Oz6U4#r%C@AXw^*Laf9swLgB+t(#Zb&=P zW{vII7s_XXt|6XmXf93|Uj`_AD3hK{vSt+s=mn|+KJkG%T+-$i3P__hnDY6oUc~G` z7r2h3t0G`T`7jM|2Sc=J$l|7-he=8gDu$=}+z?&JA!MgqAN($;P+AR-*M`uSABtDE z33Fcl7{xM)rk|GIGd4oBBm<`#X$_GJ~j3FLUsBD<2wF8+$;4seMRFt-1IW5U9c`n+t z#0I@7yELIKN5r@Lw|@pj!>!A>+r)#PQgA)46YeKHO!2m+dTF)jsRCkR_V40WC!!@< z{er%`x2UunKYKxC?@0Se_9ySck}QYCoH0m^PF!nH$s$8S$m0FXNBQ|wr(PNeiZHAl3e-lP?SiZy}a*9~CL1 z+*GecJv3elum(d=yo1Y^oS1mT-h1N1R9%B-J8AmorBgb{@?13&%mp365%yMS`+?qs z8PikXwpUMU3msYt6EjmE4MZO+0D-d0ldKmOr4KQDzNJkBb~|jDo~*qZ&VBP8J$FN* zP+ZtbSxFniAp#7b+|2+7oyaFNvXcd_ZSi$abs59VV*n|Lpb|lW_$?kc!$56F0FFQu zX^21OWu;Qd^%e9!Za@M?%`v&@1K%4I#CkJ`O5Q_)p&^N`8~3nAlYAKn)xb|061hgN1TKo?|M#H z`)Tu(c~2%YZ@lVFHxEb|1<@=~yh_9k?wlG2`z^-6L=`zhB$vc)`$+UpP8oiwKc@W3JqW&bGyF1bgUB3Lh$P=OK5&^qh+6 zuKI6)ex^|<9*N9vkbpekoZ&=5B8P7acccXXWN-zE^_L@2)|uBQ4RleTRILT)z9t9( zuH*OD1jUq7Qv*>kL?6E8ip5;b8`MErZ;$$NKDDg`(&SlZAsMnLjWWF<@?V&1RAGQ8Nvwm?g`vAEsttX%>fS z8s5gjrHc?fy)B{d52wk(O(zTF4Hm6rx|o@`&fycx9et*?7%Uq|{hVo-jl3k?Tfp2B zl|cM4!U(`rH~BH2QjLeMZsKpl3{r=ckT+0Z$t=uZOzm_}0qN5NHL3 zF{zC}9Y+FIw@>2uomJd{ai>BWwEXuKrL*R`15{^On3vY`r|eQOe<%CF1zXb54SgU! z!lCC+uJrHi52;LCpvuG6Gx^#e%hAH3tAwspAhAGz)=@o1b+aXyN zM|b~V6B=u)e|AzZWnr$gm1QrYd~+@=CtHtNKP4Lq!#cKbzC4_6hc)>ywuZ$;Ts%h6 z^^?pO>ha<&a{KcJ_cJVLGlf1PgAwy?|1P8uZk}Qn!*GLSUyj>?{EF595^N2?wmCYEj^E8W*SF5?F;UhJ` z5MsiyZAT#mLjTW1U7GKRuO=Y=G$!m$TFx0jJBWjie4*I~C?I!{eHL=d6Ji`BF0gsy zw$pGSQ>cl%-IgyHU1JgUR;Y7-V|*mq$go_TDQp3GFm_o%>rDVdhFdpjL<&F*ID{o1 zhlYxGPyibN^QZ<(e$9;Kqu!?qZY%FLyH|4({N+v?Mapc1P0Dp2r>F@ELSRn;qq85J zH;QT0P8QilyFM8%d>6K(WUviDSC8B=m%pW;L+Ea)xaCE6*+chBT5Ty*wnEK|LEBu# z5ahT!=H)thYww#K)-u>G$wl{HY47fgIEU{^0BgcTx`SUm3#1)0RjFx*(j97YWG zL!GifA#yaqaJqo4LU64@xc^z#r?+#hdsw68&UGk~6%#p~#h*6YKC4vBHcx}-+MJ8T zIlmLk(;V&&4NbN#A)N0D$7h&~&TYODg;C6u*`$oeeM(?!rFjT4$&>9yQ|=6+fJ4B{ zC6y%)iqpy@Rv&WZUYC=$TavO{;&R*`XIx2jalC>*G`CoChOJiXw*y8X_!BYj-Ego8HwlHnMk##nM9EC=5&Y)z8Q`k6-y6|-w z3r+C~R7t{p5r+S`qDW)nUnoEHfJ0KkLk50X93*NIkKeP#P5~n{I`Dy>kl)Mf<;+t1A`!ltMdJ&F3B>3n%G2f<`Xft+F`G{;Z2J{VhG6F7= z8E!#hIE;QRuc7;oZPZ$ZR2q_HW_P05pPRFFfwx5gkPtSiBZ8nK2_gW@FQucbzV$7; zOEPJYE0#B;4W<{dFAfYO1y4o>g+mfiJc&v?r2r;DE@(}fIW%kYLdx)We9)Deff8tR zI{SoWITOfX<7CeU#S9b#U4yf1-7J~Vl)T6>qC`a!zc{rhA-Is zg{!E8b%~9VLG`^1fd?KD_IXU{f;vmH!`SuV3xloM!ttW=Bmx%xaS{DI(5HSrtq6%3 zvO7L%rD9u`4CBHaVf3F%j@c9bye1DnO7{I+ebtR2fCyRGfU<5yO+*^b-ZkIQ;vFy{ zI;u@EaxVDzn5z9mK7?;0dHY7xxEK`t0arQQnP5#R6@J_CseawJv7HBBq-Im)()bG`r?Ms5Ghr#cnox7G(e+h z{{K)ipDB}*hxU2EE)&{V{mU1z%piB@{?d*LH@2MuFnYLTtD>f6bvY@&ygB z6V=7HXN>t)@M;RTSb-t<(NKh5;;yEv^X{~Ck6{%^Y*G|m&1#xa(#j^i)^eIru-|7u z#PkL z|K-c4J|eiL#OuxfV=7H_#8CSX*3mAsn0rK6gO|u`e01+xh?4(Z*FasFe!!JlgstmH zH`_n&rL+xy-pwjXrga}~bWT(l2NQrn>rxW*r_*%)rPRixQjsQ60dt@{PoMVWhggN$ zL=fzWtcN%3ykwR4^8@ULj-S;og@-oKYha919|kvj1{7W*k`D2T0gWaqREZdyAqYyf z9lOjeKyDWyZjgHW3WFKZUME%O{e>jdU6TP0KfNw+ z`_7dSJKGs~I>9SQj-*EpqXw4y0>Bt6I(r&5BvMaEo9mka;wnVMiNP?VIl6W7xma)J z2(&*E2%7@cMZ;#9bevuMBt9u2sHeFggt9eB!;^i`y(sM)$eqIJOP3;I)qk-rMgnHO6@GvU=?0T0Jmeh>na+$(GF>Hapj5%i6=lf1|_)SJ`Wg2=~>CM;ig zZ4lJ1V8T+ek&%lJT03n6A-PgCE8l7DbQVoIAS>96aGiWsi_$$@#x@npR!{C{8Fg^7 z-AJkV*@$QxaC>;3wex-_l#OrDrf0^Bd{3tb^%x2re?bBJA>%ZVux5u4*KgCubn|yeOPOC56=~!%?X-~gi zvoce3cAabbeidyxQgU9Kb-8CVa8{hX0n+@@tNUT1&KVv5x8K`4g|GLK+2;3&9(>=6 zJh3@)VSLeVMmwaT;^*1Qbb{oJ=7}+Fkry^2YmE1CJIrlNDs*G&7d)D5j!pYsiR zu~X{@n@jiYYC4Ye2{Gl--{-^T#;fNQy#RaHOYu+hkR@V<-&nOext+r`$4O&=VEbj; ziEO=Vk4gh{+osP(_sY{p7|#a*|6TYdB9rjX^P1#%u6#)@2{JjW5iR5h@YfvD(ULapaXjAj2mvOrV^ONd@nF(*U{R}sE@I}C?y1qs z4#*XwE{W9cMeZwbe&jLli;SWZJEs0k1`?geSrFD;FrCRXn^~w{RXtaONICH9A19_n zHRd=tV8x%>Rp#tn*>9%DeDHLuND13p+j}mN2$h`s< z8?PLTrGZZE;#9Z@X|zWi_g3G^WU{#TGxIetfIUHnh)v0X_3wTOdd@6UA{N+Q586hz zEV3InVkjR)X~p92iAZ!i*PcY?`37qOOrKifcHaDM-iA6(ok8JSJ^5};_d4mC>ht@| zI^?5`F|{U$tD@ah^==w){4%* z0OxUT5;|{M{sF$EiOt5`Zth{fZk_t5@2#E?Yo}`bP|zx5Z(B?8dS`6i_@l?6(MH@J z!dSkIF(E=-er~F`D1C3O+?tbt)5d)LZX&~~OTLU&T5xDBvm@KnQ_zjKC4ZNGjkOzhE)vo5{05udGYtFhJ5{*6j!;Df2HG37k|K{{CvdEk7S zqYd%1Zfdg}zD=d?LDxvuR=-2za%yKh9w&_H5fPhb0GVAcG7U8jSU+_={rKfgMhrE1 z|Hh?t!pqC3Dt$d9D22nzYrZOV<3&`XK#YsQYbSnLR?q>%XY%J`<>Y%1Hr$6y?J0;% z17J1m{MVl`?bn&!u&vwL33qws|I>uuRQ*}V2ZD-x{=ui5VOYfdAL>WW9*Y}o@3x%j zgyKoCDd))X*68_+!!Hmm#8vE(<_})RB$zjV(mBDwE6GT9a_n8@2&QhXYQk@Ac;}k` zM%kn+EREA^`Gd5}@x#fNvyYGod+$O7Y#^X((<8_5#IeAW(mg{IeenvXlmJ?n2Y1VT z6t;g5s{=2v7jAIy@pUK=$hW9t#0|U5(K59>oxWm;H!?45W$}%o58xIXpOU+$CYdI# zITYR;ksO`enlsXxK8US9GOOBxOqxrvon!ur z@<5u(iU-bb*OXe;(Zxn}n2)l8mlD+*(G_kCGYhqZeb?XG(s#)}uZWdzXE8H&*?tK|s#ht1~C>6rMzx z)o%}lBgao{TC1)RbFIQ{GOJ##fEtOJsnszv&$?B9=#cyGhifwCZszp{Ku(+K*0lFp zUIMnW@G%cnuhk%1%7P6b?Rlfhyxx2ZjQ69pxEikUbIk)%ub6A{R%Mcp|YGjX{7s^*3`2 zdey@y&L1w+@fQ-b44?8aN;!@WzFB1G&PrEIJA6SRv$bAhhj>%)@0CUQ60*tt(Gffw1hFIZ}6Hggy0tZuia7-WRoSR zQyjfMjwI{m#lWJt&01fK{p~TiNFQ0G529A*>?w^+&{RcAcSxcLN+RWoBWhH=IUB7} z3${YjsfURu)FG?xqR9ZNLwp_dJ6$b|yU1U&>QV(iC!(sB(r2WybFEMpI|BT^x1>6P z@QY4PN}+KSYKZ?R+JEKVAWlFuzi6XUgLKWLCSE~n+r%GJfmUY_d@`EfU$O>FC1KB< z+QbFD7R)R|VW|lqSE{#;aHw`4@l0dJt5MvO8>9#S#!x@(_0CzEJqSR~n2krZdR?)# z(d|{BFjeZ17yi!iE>5AS15~?WY6#IfO&b1aPkRXK17O(eu-NO>+$yDdEI00x{Q4oE zFmN8}K_^2|Q`R$g5FGTv`R$oft2EkbR((^EFcVlRyB4j`=O1`qTj%rYM`>#{-nn3a zAqs3Nl%A7|hS-dw=Wdu-N;vkZNO^~-#|JxRJo_tX4%}nXQrI}|ySqk)s?aNSV~CV) zlR0_Iou9?HEu6V{Vl!KHP2Y&03&FkK%P5Jvt83c8Y1+VR+Bo;>tgr%F$h|^xwIFjm zAHrX`gVfM*v>o5MWOGoYkBr#!7-<)Zm11xMF@b~XC zy4Ei2Y3K>jr#v1V`NH)%frCm&9e5ec>xXn2L$W28arM{?!Dtvh9(o>g|4~r6FA7TCuXZZ3`Z9r|T2O>3fJnRZUA?e$o4DJT zEGkTt!ZOxHg3}`vEI%8SF_tZuM;7nGH%`PEzzHV#4Y7MNXV912nfZf;riP8@G=+B0 zAvOdhw~!k{im2mK2=}tiOhOP6a@Gm>S~RUpFzV;pu;zs(>kJ;VKB{U+uF`G`xq1y^ z6X}@?W3*<1g(iCoAN9G&nzuWSVZR0A(p>Dn%1geL0K2(4VvN!?sDU@{211$zYGXkk zRqNvrnpcD*%4;G`q_fp%7?3*e*m=v}l5t$3mN*8NU z>hARVU)x`9`)m6@aP(HjuWQv+8sxpEhp&SAtU+^Jwx$CWpLu{Ac8qoCKedz-4p;G> z)icKU*?{aBn_4CdsQ788MJs=pBBT}Ko>i(&F&pG#)*d``eAG`?qC($-LOHhpTg7dS zw>a-i=Uz&ArvGN3`6o;^K(U;u4At8KG9qBZ*6L`**a(mUEh6y z7TN~MXB)i@B}aYn{6tn~@pAwwP@ zAE8#x9#_&`du&5SDx+_jMf8qkpgxIEzxMx~z?bi}_vRR zT+i^Jk4lWzg&J16a3SH@IY2RKRvoJPJk%HL2Xn}xq(vxn4aKcj-zP#_g!UXjU+6eZ z@|zffF>ZI7wbR`F_JrrOViC4wf?P$<(x)!ur*M-Sf; zomH?xHAP*^&A1MRa`2sOZQ`_+8fGwiyG2?)rln(RQ=zk8Zpiu}^eLeXt3qdrYxb2| ziWhRo{OWY}D3Jhid*0-QTi87mMZG*CfPa?6yl$envs_iymv6K;zT^yz-f~@t?ZF-v z+6KIM2|^pkn^Cw1pw!dyfR)|m5Y3)i&h;lFHkl0+SGuTMBsAjfYy6-( zj*_vY&-S4iK2H6&^9@YiBp&5z&h{WAM(2kBWp8Ti^2yZ=#})KTqQ=+(#qx;o_x4ib z^0lgjbGkZ?g06QBDjN;wM`h`emIKcG(oVRU~PF?}+(;SY^C-E<0!6Mq`cuNL|&^{&Gy5L2QQCKshJMtvzK?zze} zg2jy9O02ps>7R5r*R-M8w58LuW$WF^VEqq8F`p2KZEvPDwy%ASf7>p`KV4a=)TU-M zdX~Re&bbMM32vU>56w1Yo?(^Q*V=jv*#|Fm^s%qm-FR#opr6G+RJJ#3sdT1)TuWI* z1yfsOBr~^lnW|*%siL?jmFTyEqOyr`4>iy)fZrC79y!djq}?M4d2m9RJaISTRn3KP zT=Uwa2s@%KRM|pDsxaSqs3RKTEkj2#ohh_q**#BCYyLsnePD^k-@@5XE11nHtrNdzRmtj zXo2u@d3Y=h429Ml=6OvezB4n@E{40OqsFeKOVfLfu3wZ`ie!^qD|=@ z5v^O*a}%65V7E6}@d{P<8>IxiM%MZPg*DcC^uUdv=a933TvL^4q&05uRaiN|;Ox@;K z`ph5IZ8$FrfV9F=2b_q2a+4(~V{+12;KGkyk@`k%(YK{Km({(d+H3O0H!jgPnfXgi zStoExkCuVneUnmAcsT%z9Hoau+r$ii5k?r*X0^y;npcheqSF*o zfz;QzCfdYO`mz!ob_+ifGBc3gF2DEl(&fS;3t22T{T};=z18CQ>R{zx6a(6$K7c$o8aBg!1zI_#_3`9gLul3)7A@6z%g zuTk2$1gwdQ9Udab^4(B`hmNrHp;xc|3HeOvO`N7qF)O?VC7XwTfEpzVcIQ%AS*e>- zycGxni5CDrjlI$GQb6_N>|d{*CjLrC< zw&4d4C&XB&BX=;1bPX`a8G+2&%CPI*QXjO#NAS5*ilb@43OX!wKDFkMZQeu`8Fkgr zaBxA$;^RpFLq5yeLw6R+&KIgZ!>oJ#CFqZQ?~{kzCIUDnG2*Tnkkc~sGA>{C@TfqR zvdq(Bci5SK!5U}_H$McK_a+<7BZBy~oiNpb9BV>X0fOW%INFna4OWS)N(L(ge@+i_ zWZL?PzAFF?&R&7k1_)ek>&3H~3~0`zUdP)!Sr->cCZ(8_48$;Sjq(;L#%kj7J}32f zUuarKa(?Ps4{JC^xlfV)CdaRC@nvQT2Pf{y8SrwlJ<`02b6|p&Xj7qe%O~< z4c#^?^QqADKBa{WulH2ykvu0@r_ozkOz|pPO1N5?(X_+q>YUq4z14kNMx0>#IkD?= zY|)U`7{k=&LzIkGo}78!hP)T>@>8_$wZb+37W$Q{Z0%$+^jQa$i|E&62~9I4t^uvN z;QJYy#s4#;7Wya1A6DJ&mzZrdPBvir(8uqM9+YUUZkK;^6z|P>SuM#c$SQDOSX()t zw2t733p!UVT~5Sf-$eWWeX7k^$)q@6+ME!nuQcy^h^9hnGp<{a!zlDxiMFLI+SsH$ ze^7tazq1FrzaKkUk+xx;L=dFwTdg1^<7?M#U{)Qzu=fC8FGZwb=W6rrn_~UvP$<-# z;lWPqdlTms;mC;CEgBKQ$*e-X=6{2S2lDU!K>3^0@Ddz>iz*>HJyCUXhL55knz)2c zOZEsY=V6FOPCcM_5C4Ez@OXlf7kaYlnVv)VPaDmT?0G*p{W;y2D3$*NMWCKd;Zh~b zD#up)Un2@MDW^H}rIGT-)&C^`qfAG(02i|7d^3aJ&9A>yQrjIzo=%>Vmsy^80`M-O z0$bzSHJGYco~VZZ0jB$0bf_ zaqb(}Z@M`PS9{9IysC7d(?91f7cBo%*s!A3C%Q^xUTn3*ulQl1*1$*!+#>7&@Cv$! zTF*RBvAtrev8S$Y-Ux;!5|OnLnH!3vzM9Hn*ylxkPo?!ndCNyE==eSdjW6{sl3!va zsBlJAdKGl?mIJmawSqi1i(UFn9a8>|ejfQLdU#q^r&Tv0@u7a3itpN$3F4VGkDx*)k9-%NtsBBx(Ea*c z;OT9=)nns>S>YC=OL}Q%`Q0AwNM)*B6Z4(ZY4OCgj}!0XuC3e8owTOaPp>KN%tTlC zmue`Vc#AciOHe?^4hJ#tqK(~DXX2xK*BF-U4>QTqHcShKm?Ko9$)96n%@NDc-rL|I z0cL!Dwb1SX&L16rtb`yCmEQvIqk@Psn3|tBbmAK}3$?O3`a<(UP8c0DwyJM{8UEDH z^5vU}L>DA{b=5NP|6KbjtQP^b**KN7dzWK|kAJKGx>*U9hi_>~G%o(15mh3$8jvpv z+nSV|S-SKez(PYG$tt>0aug7a^C=NcwRg`@pU7E6zQRRT?&y$>dE=U8Lc+#Kn7-{% zWKPvU0srJ3=^_D5bX>t0>_ZFlC_qb5GeD4*%1u*U);BvT z-c{fII z|Fb%ca;$;%ZzeTc_MnX!&2uKa`lvxdLAq&0Gv9=^)GFgfx%wOjEnsQla?iU|ogZQui8le zd%?{~@5a5Q&eF!5k34o^j;O6sX8;@u2-d4vIU~O*jv6-qv3gdz+pwnAQQRZAzIqQm zTKMw}tC-Qr_T^iZ@Mt)}9-<(L_#vvFaMD=w^-6A0-qDrK;eVdpBblfD6Ku zWO~NrCbl|}M0epf5PcXpQfi7|HnAzvw7P z2H)ENElow=1x(n=%NK*(TV0a`@xE!c&*Z+jm%Dm6{Ne?m^?7-_!x;8je!zg4Fblm( z9wmm}V1QDh8`WPWr%U{7^u=lxeKmO}Wy4Q=7+onUoo`Wp=ar>8lr$FISX08rr6o7C zT=ff4C^ztDboG}H%h%T>v@wOEIkbfF34}jbHs<@KG}St+-^Aw;qU(l{Jz~6y4z>P)g3PPMU}UEGXU(TA=g?% z9w*p^ygc4BGT*(xCSf)a{Rao|Wm}1h=j*K*K-iN8SBu>mPpxs)?$r9ij z{tb=xl{@*>2dapw{r0D(srTmJdEAsRAgWM7!Pr+)jQ18xFP3D)L=fL!P;k(Qfu#*D zRA0LhjY^HEKQv<0>~#`dIQRsC!YGl86sC}(`ilSI*dNlBtCjZl9OB$hRTggSC3-}n z6n({eZM@@%ZjW?zE|~23ot0I@?%Un&ajR6l^S0EL5PKnLhWpGc%wf{P`8hnAkYOT(An$3Jbo zqij9}VZWk$G|VcTsVp|YCRxuZX~D+7^dlRY;%s<{rAG(2@7Xb^0d=qpNjYz1gSzOl z*Qf30;>x7$OW~K!uk1|ex@@#6c%abPc3lDbSa4kG+rfRL`=ffIspT3~^lsdyP%W}# z>6|){04TwsVtJDZ#r|cM+EFT>9#Nl#!%q;IlfyDBc`5)W!iFrzB)*iCXG6}WX!+!o z24;f=_HGd#(ZFGAlh(+gf!aLQy7L<9VausA6;#~pVewjt!ls(#g2cIzRU{lWgh74 zm9BYSbZkCx26!zZd$qGxlYaT>(+0lGkOWjT?yU3&+UOB4p5KmL991paId<2`suOd3 zGiYL8qZtPju3RjRH!FW6MCJ2spQzUvtaT388i)bG*S`|c$4bwxFNW+T;y$lf1deUAV^K-dIV&bju1y5V4FT2<4MIOS5uld zfvJs1=%)wcc&jPhHu5Fu8 z1ILFr`}rM_TV}hmAdN;e#{Ag9s%G!M{C*YhUIHUcPhML)!qXx+=qq=6_?J6Tnf{kM zl`Yht2d&&Y>!`UjoRx3&BeN|f9|SmV1u$PwVYd-K_VHCp6T}D}&a=IlvKiPM^kLM` zWj@0PJjbkTa4D!K51BlyKHe`W+x&jnkgBWtn=15`JE=Yt&V1!g|IGZa+^Kj=ZSG*f zHJv@&=V6n6KizfeOhe+)QNE7XWRQvl%lQhODnbQ94-btZEmKW6aC~oY}-R_x`~;jc^`LfybX{Y_==b+v^K0- z1eX$rW-!F!^32)^Qm7D>qtlBZBN02JWc#LB?Hg+6p|xg2>2Z{u{?4BrIQ|*63eCGJ zO8jupn=d7StM`$2Hs^w(gcQ}bLXw@1|F_If=x>6*-BBE&=*WY!fBZ{I2m5o;3a>jm zPs8r+!M}7nGwdG-ni&mNf7*|KO?oZ;2PP`m{HM>II!azg6ipo4U>f&~bA?FpBoH#B zdzuA`w+xR34h?zf?K_w>exRFfRBu7Pr?}2Gb?!Uw4>2stRZGk?5t%Ib^VpE>t3vFKu+ zIM#z{OGi>60XN>ICJSWc_=7=0!8~9L-SOR(tRd3$hbu7YnstN+Z4ow)lRPaIj)u&x z`>$#=Q|$dSz6Wp;a~W#*$es^ia(i;6-4Vt4b2A;Kh|W)0L-AN9?tkYfxyQ=;O%A2DwgX{{?2+D>68 zwH|+_K%*SpS`fYOg{ScWY>qu0XGKjkOinU6vA)*(HRptOkX+&e%dgY>dNrffM~|*I z%afI8*w-NHv#_%k`_~SJ+SidoaAh>sPO^u8+x>h+d-eK%@iXrK!_Vw5{JbDWuxy*T zlOXd1oc=Uxl!f%RZsYBgF9*)KG?@dNy!GPvyW}grqWh_}ijlRBk+qG@<2_o-rp0@s zjm--E^l*XlwOv({-{pO2U7G9=rG}Di?s>B0`q)p;3Zt+#AjIOztE94XYE_K~a zQ!7QtiZylWEqW9knH-4L6;+nCBz+vIwFpGd*|*f2j-xip2@E)RHF4H~9cY;Z!@?k) znG!-N(GR(k$*F=(FDln9sbg_F)gl3D=GdH%PFYu1u?g_mI2OREh@BZjYM@8$o9?wk#A#$k~aB}Srx$cAz?q{ z{L$N1vZ=ciGh-?8IP0Z2=3G%@%oj}Ry#Z}){~^6`sc;M5F!59L-5}=I`_$(P<0oLJ zDKRM5hw`KeZy<_TJ3P=Q9gPOi{5t!cluZR0R$qZT1>B`x07Xw{ySD<|1gJ@ zwxS%EgERl#DH-PNEnyjhQ7Tv$2oR5S)kZxqX8R7}$jXd|9%x9UzGuY#?^p@I-h1?sUsU`WykO& zfSU56?_5exj%f&IV-8Xa%{RetY*GCV^M3$hK%KvHv$<3@7*qI!Q{w|M z%mIS{rPP%YuIpy+RQ3pSvvDdLh+#fn<>OU8UghJp z=Ad3CDBj&M|9Ge+eu|!<#U!P!a-3p!`&1X5PY5$3$_T?AdNNk%)TbhSvMA4=II>8Z z9m5x**k=e+Xnda>ZNbd#nB^}-^gj1_?4*wA+;jUtR0eqZprn{~O3M3+$ibZJu%$0# z)1ul^<(A^(s_OjnEjFDZqNc><)a)|;8m|NpBD^_i$XPtrOv|$KEhmhqn*RGbG0VE? zyH=_XpHFSMKZKdNDIALMW@j1il+bbAyb3B`*2e?8t?x+W@eMfgs@wWke>D6BCMI2eQY_aT>+Wi(;*6_3UPmc+K$%xt$ileynk)^Ez6tyAuJWcQP z8C`CBT#Ffq0!h!M#riUz8>^+%|E`W}vOHn7R4}}0PiSu`YB2mj?;B()n0va<`93ix z%i5!T36~8nc97~dV9{Rw;#l_>Nt7#x+^eNnqQNeXv+ljBF5>CvUAmTNN7Nb!_a+At zVRnYhx9UI^b$6@@&o?8gfV+>@rBd0JGMm&FGy(Bha`D|&X1k%u}Bi$R) z<0?%r=e2h^#fz)%_P{+kkS_TotKo3N{vl@h$BXp8F>^yej5xks!a z3{y+#Q={^LByW1OXE14dqds3~XntNjix^^hALKk_-LwzVUq7U00QF}T?RhO9%Z&X4 zdvn!Edl8gxzqQMhQLI07bFp0^bor3(16M=U>8q6dc`_TWH76NbL;4St5sW6iHKO z?xL0PLq}>4J)DwXLAJHcjhA?flr{01r?)HzaZ0Hglf`jK*O>9&9&JxZ#wbOyFINr< zD)U*MTQsPNBhwEdyX{0rjA+=_*}ta|6**>iH??TCh%ysVJeHZ`At}rtj!m=$VN*^ZqkEVqVIQ$)?)^hc(R}^vTH+L~YbgnZ znU(Qj+mbk%wT)^@MN`VCsSM3^>Mx%d`t+f_G(uvwyq5I7ypYJZ#HgG%b(D!Ropzb9 zt$68z)X*4P+Q83MP_tfD@dNi1;y6m*+FkRv<}|6)*cQW?@2??uV}OQV?O#u1u8~Yh zpDoyw0``mHBo5Z4XjMP9@fA-R`8C)NN!d1TRm#Y=mZhzcoT0C_P${xfbKb?obOFbx zSvCnZMV2+oabd&TFRfh{s@0ZVy$#I{gk=_eUFMzr#_z#d&zfLj&@&Z~Hnc~83@szt zt1cvG6Q_tOMWTX(NMa_Yg|L6~z>guyoc6fW1gL@A)oY8V;iA&91$M}ue0jmiuo>n) ztMSP*@JU@MbZlZT($nX6KaMK3ucySc8PjoOY8U43Iqvk=4nOiF!S;aW-g%z1?x zgtm@wipzo2a(r87j_=qZa})|5J3${0&JETuPX0ryxlck60{Ca}UZWM1_EeWkybc*0 zQJ?LU`xa|f8AhVhb4S=NRkWC2Eu}-%Qm~Sgy);5tE@#?#-X2qC6AHb1)6U4bofOe{ z*YZ*!(Y?yz%nojngWKST><@lkM-0;q{X;bKfQZa=S}Wv$Af?(7n{Cuj>_uyoysAl`bFgEz-#OdegW&e^0Yg9TfiG zZBod$H<9F_-4v@R8PV06;i4CRA8wP@s9_T#TJGg0hHk?R6XCEi@MAN*wu2aVJAA_( z+{FSrYqkY@ecPCns;&!FOQUO?v*}dc&hMM~ojPQg-knMsX?NeePhxvdL8P|bIH%4t zV=SX>UL-jrOqtqj`Gs07WuewJwYe+bm5hQ=Gh*mBvokZ+@cVQ}M>FZ#G>_&Lx{bxC zRTG6dT}Fyd&5L2)<$K;wOW9(Y8{l|LXQVBJcbk{Q?nh{D&@P=iwC23Vw^?FH*AAUW zz+f)D**;N7H_b)EA-(hQ;C^>{rgjtjA_2S!VeyC}HA{b;F{e%DIg{=`2@-4x^-JYld!j_;^d7px-O! z`3`Ld2WBGb03vBxLUNHOVySq?if^O_08u(Vktx>?L{IJ2yQuJqdaF&wCq@y(ZY@96JL5xrrMI%)lf94SdD3W&@%dvICo^?utL&t@9Lv2?`DlOMZA_s>WOenQP7Za z+Og@9hW6Mk%@cnmjBF>va3fdR)$yXmZlWREIwyff8j7T_9kXa9&27kbR8WeO`M4nn z_HNiBhYs$XF?8x|Ay;qg)Js!y8=sd(@u>K?@;eR5@T?Nh*@gmp@no_F zbH|%)q%?lbguETSw@ix3QDUnaa=6=RHG+cOR6)5XqOZ}|q%DbcCaB#-__hake1D^5 z*XpU#;r0F?^t(~FJU*xVT%P8@<}A6J5{CGoavZ9=Q~EBKC7z5kAEPRIJaxH!%TM^S zV)(cCR6SWl9Pndtvim$#KbC)^36a5Z@vB?&;$$vm$KveuMrFwWDMw53`^G1QP&wWn z39Ge1CAsVI$2+0k6eAn+#Fgn)g!7FqL$O@W-2^*P-MJC9iwR?uOtQLT!RD#ssQGjh zih|x%Lit);+fstg2^=8M4p)hTuJ2TJBiY5fNKN^K_wNV2yBb~-#`P{x?zHBnpo)AR z-T)0{D7coitu?AAC=I9sg144l5>TjL?g*wDXe)7zGK>V|jj*E(qmbn&;Dih#K^_7M z=OJOK(iJjz6I&*Wv+d+!Mdq$AJJ zvN)NWzYaCryEq738TXIErUgKJbOGQ(0;V>#9Qp=$Y`gCAhE0GE0+k ze*~q#2diq5(DlYSp|6|5j8zoV_wKEOBV+pWc;IOxzfJ+-c#afwWUO+Oag^pdsLRfg zi>QM-%}Y7Vpc6XyS1ug0NDJrCU^;e=BvU2i7a1jywYc#fi|iU&dcwjqqT|~FEtE%I z7;qGZA59nRLlpP9Xt2V$i3m7{o9!v?BiTsjjQ-R3k|!eD3VjQ&-l0 zy`k@={UZM8d7z>EqR~&{j5KulCXRhE(R7z=fR)nqo_0S78W;IT+BWCe7=1w)w>wUZS=Y<=}b9ZW8NqG8LQP)mOJ~PKpboH~mr;DCy zUlE$VXgsUuc}F@>s@bqVR#P^ro)0z$sSS`#}!{J3hySEzni5 zI;T;VIyxEJe(vV4k+EY%7Clfz%2ItEqTM|~8QVE`Oi~mC#n3N1N-+|+qwnCk0_xy6 ziXem}YZfvHia6YSn|g*uZ+|Io(mCIkuToNTq8Cz942|t0*waWrscBo77u7)F9cMqJ zDZ;bmjHW80mlS1d)Ltccq!1MJxhRZc2nzagZ$~*sLFt2w5Mv}DCvu%!_`32rgbD?^ zD%kQbKM%EDJ)Q!E>@Ycxc#6L{hw?-H6kcJw*dSS+zUBB=zNt8U{OZJ;4Ges~7vy`MF5ANKJ7o7%Wp%AT-=c=CBZZvR<05+3 zFmP2-f7g(66yz4}SKUK_6V;2e7QYD``*1(U-<;|Ce;CEeYx+Vn>~Pqwv*6w znWgcfZHUWLLIBF8|GrRXZ%3t@k}6EYHHPVCcJPD4+t2l!BC*4LN=;LymDJ~@;O9o> zlq+uv{#(1nvyTr+<);4{~p9{{~~GxxuNFIWp^0X5Xwix>HTbW-{QMBjpN{?)3cFr z8+V0%sE`9ZvZ#=sks9_^;3w^HJ%Tg;)D?D!0d-p=9A}0nfP@n@qLB-!E|yH>tt%NkI_aXMk&n zf28iq;#%P93uL@SUHCJ{lOIkIjvL3BXm@TV;AS3pV{DsLofszXn{UqXCW@x##D&ZYAJgj9dvlnhmtx}_h zhn0eMVOWVD(0ea^Id7MyCMqsW_T=!x_MY|Gjb-b_PJv?mge0@L0kPV`VE6Up5fy?^v( zZOif9>kZY>wUA(~=#sYFiQ6H;%6p#q&KMzXcVzx3JFa#&<#e|qbdT;n%#fJJ@m9INXldA^)i75TSktY1xx0vy}R4+-G|BXO0|s3LNfu(wh1DES{YvIL~le z&F)I=z12j7G(K(fHeH;d?4AJyo#7ypH+dP&h?$>A?FT32qDy@Y6%9@+V(uwUE2Q3i z?ek1U0gxfv@%-Rv?HGtMJ8~ZTLlMYQlNWr3^h0L7sAsV(pfrIVEHYn11dyPSIp*>N|+BXm3HAc#XHFGTi@3R_9t0>c*EJ`lMsAa2Rd z9D8nN-?nxkPIr>=BYW-qr+LX(DibzdGV0v-c8}&JW9i>ZvYMNWIyAMS6ox)U_^PRw!%)*YD|3Y;3i<>TWI6rXP6Vb=@ zuvd~lcM9-dDmwf7mYRn%a%wfd@o}jPL8T*(Z`yHljERd z^dw+PDw`rGp>TA?wRR>u8QDFRdXj5PLWlI~lu{}oKIz!8NozKCOTv7vV<+pi=W}h9 zV$D`5)*Kr?n@UQ1+9lwX2bu(GSAiEEXp(Ba$_PBro(b*N15J&X;&71%ntJYy#??L0 zqH19h~Q8|K^R_cN0}d9QVR2PN%E+UpT2 z1sw=$NSn&%d2L0bpx3E)lEfqK_>gmC$0vSJiamCGjNQm$&o_<1qDftD4*f#}$uuSC zKp!GVG8^584-w|gYO(qZ5&5=^7li05gl{)QmY*Qv9F&f}KhPL{1Jm`d5A@ikx3x>5 zSD((B8;Zyj3j&Jwsy7K#CX{hWC&+gd8zy1NBr?T@N!TgFrDMY*Ev3je#j+(+su)e0 zDPN2xRZFp=e-ZLbcJ96iQ46Lk7Kkl%n7n3z>B4*YN&g(=`S!;-y6xw$LG+4f2yI^O z94uon3q1t-jn2Ogq7|8Che?epUbC$ezx+P2bsyMzru)R!eN$fi(2Cn{_WQy% zerv4{asQ<+^5vzp|I$Yi`WW|L`p5))Odr1VQDfTGhVe@ut&L&4#4z#Z0WuzT`7*;5 z=hny%es{2Vo%$jZlFdiI{enx~?_=0~ z!KG%jdkp#)TEYx&~Ex%q-?`EG?>e!`_UZr>-k+80XswUyqe{X$01-?R_z zdS$u$POxMd-JYfWMCN!Uw5Y@A=SiF*Jrnca+)odHA!~eop+5*yEdhw%K);DNa(wY9Y$A?m$>?tQw^*LxjfC?9P3}_( zKoY*2v?d`=X~T&w9`0yjelw0N1kPs9YDbgLE_K*~mk-B|)vg-)a+N;>hta3s{2?}s zE)QS!LueTFtiRlc&@jH*A2*RcKVWhQiZX?6^24$O}o~xiD^eJpf zQuk^(rXW7=i&Gk#ciD#|c~9cpn;lt|^-Yhg^4XDu(B*Q~m15knY0st-YEOSFQVHCn zjQnXEx5tS&<2G#1^cPmuusu%xk@r!1S9gna8MQ}Apz`%0YL9egr3uW5hDWzlg_I zQv0kUZ`316+k2_Q3&Pi%zel8pFv8quF7au2nE2@eAVj!R&QFgtO^UU~ac=oe2lh@b z4|G7DZyN^*EKWqvcm2nQJFHeKwW2q{Ued8ubm?@kL0!~f-b61uT_sMJI(JwWL5BP| zSU6?c3=dKiTe?Zpy#dr`*pLru(S5XF1b@CuC6g9YoJoKG{TVOM{r7?LcCJn7U++2P z?42;2m;fdNadR?DLsznbnO`Bw^JGO&w^KsrzT)b2pQRudj2oY{zHs_yx;pQ#G?<~U z**j;IMNS4?FU0sN@k|-5xT60^>!!}7q@cdn!KF5fb_98_LtRw*ygYunQ`KcT&fAKt z3uFm-%1*!muHx166y{u~hTp1nU?5ESe(!g~#Fv5SfxS>phb(WN)x-{CN1ZKWb(6AX zWF07J%5o9PIloBFdA{Yv$7bAv6U^`xm%#>I?$W}J;&!k7^b_o))e_Me>~R0h-j2z; zPlrlrf6%EQo-m^<=bOm=TbgA=yfuzFK8Ae7R&5UD6zVhT=rZ~~$MIT6_T*e>XlA7$ zG$yq0LHO>7Q05e*80!#{xOZ5SABu+xFHWB}SX2&Eia|<((IvR3gytq3lSI%xqBu** z>(7)7qs!*h$@wgmg#$^so99M8y%g{RR0o0CnabQIqiJkAXUti#M2SFmT2!`=9gK~ zdx1n2uie{%Pv|F6*Lae3t(J3YO}!tcZ*oj#EErG&Z56-)0YI(v_@|jp)bZW04%4Y) z`uX+Ek+_O*y%9g_dh`8iuzW8Pyu?UUId2|qZ2YSV)^$>Bz8!2(dpnQGlHa|vSNU7p zcY$6jJ!N(F=L_xad8W#C^Gtnx!RK^6d-Xkg+9|e2$d~WgGg%7#Boi8Kvpxf?AJj^Z7mZK0D^IaA)q7%9 zNL%ww-+c9Xcb=U;J@3wB$?e|hZM|>A{G-%r?#DF0Jh{zu#^cjPp*@|9*Ixh2zqtOD48ug z;wnSFL>#?RFS&0_%+mu~&>fMPeB-{U62vSeP#isX$k!Kt1d#>XZ}JdrvqjUV@>Odk zkBk}a$1WT)iODz4o2G%(Ye27+TnWP&f8jg1L-;m6sWujd2|=%w{7lAwaUL;QL@p_$ z0ix~&&}+T!7t+4CPu%@#{OlAOiJKKf5oN5@OCBV1CGFs9qzlKIbL+xs>r#?3DD@KB zr%&D?BN9v}Op$($Wo z&>pN+K)NG@(uH*P1Bl(elU5oz=+P|t-Gup zThVR-)JrZ%BV+hA&l<&ToI#zSPPuW;>I5a~_3UDt{E*1EmY7`Rp^~(1zmnz$WuQ0A zvX||Pi;Xwowof;VXsZC}wZ&zvbYVPy^W5=EN@3@TY#NBY2J~7vzk~VY4^1~aKLqqz$sn`&;BRIslllz&fV545uM1^WXQ0={`XC~ktEZEljs3Ph zF?r`fLbUC`l6nu4TC1U`+xLw*)5ggYaM*iW*c10oK?-f#5;gN**GgA5O+Wl!U+<)W z%;dfOp9>8P!(Xk{(8caJoEe>}0ng;U0B)gy@yw{!N+0b*L=)icku*Gq({p5mayPSTFe%Ovtk--hM}637P3l@%o^wxirBmgYbI zQCiwC*x3jyc(nN)hbux-tj}NdYOa_4#su!Hgl0ZT%<-URkL2~E5F)=0QU z7cI`lM`Tu<|1?_qfWy+JY9UU*mm;;TJ0|`db=c~U3 z7BNY1yBO|owCMen;REG;=M=q}LT|%eL7Z?gEh~7WT`4$uAcQLM`6f23$5;G(3k6_Z z@<d~j74LIA=?(882AcQvH=+z>bK=C;wUB@L~`?2rS3`<(e*;6z4 z!U`q6OfST{%=vq*A6>U}pBHCxlzHuGXuV#$6)A`F%%mQg1Vs}$nPvU?^p#}I{ECxI zdHEYN0hm$_k!Iv4YtiLi}bA zoW)hfLiPECL>ACE-y6Zi9Qt>vTlVQgMX6htW15DqH}!1$Zpe2mr$-zLSv;ld8`Dyl z)lAz?x|0LkVIkm5%&Bk_jJAq0DQjYK7;PnJSz>d3m6&uq38CnilF~*qUr+E%JmsbJ z27K`av}6|EoS)62D0!AbQL^PX0sZ_v`A$1JUR*C36k$4qz)&`N~MIcJF<-As?Uo%zj5`xn)UP zrn96DlK^dYyMzcPPr03+Y{K+sSV5jt(SA#Li<>`+OWO5cm1{U(u^@ii=0tjCAuc4m zV@|(W0;~2FV53}0kxN-)g~u4bB*5c>&@mvcH~8Diy?*@3*HUEp$V zbIF{>mgw%}zJ5nap{mxaM-OQc!6G5NvT{&H(Rj-EEto%;=~ zWI7bfF2Sjc&nMxr-%+xT|L!6iB znUo@{eTdk>ou(a-Lqc?`ju1I<&SW97L;Q-*0lothIOig#zD&@v`vEyu4~W|33;EHdZd62$MWbVzXdB--{nO4f1ws^cf6 z;y0_{yz0@)6H`kyK6qgZU3Buq1WDPU;-(W*>@q9M;Qv{QXTHeOtjww9WkkuFCw%lA zJEk9HhNK*&JLfORPYCxk#U&s_i|v{A^PHD{YGF%)KFVyFempWk(pzT#Rc2Ci_^M{g z1Rq@lC#)wG{Mf$uydL1Uv}7D%%2=WsN6|EpL(??n2dA9b^EQLWDG*&GU7*->GegKRIy%RBgEM_wxzh-5M~WAl`7@#4k#eq+aLHxcEB4{M6rw+v$OR?d zna;(PESx=^AGVIehEAnrMMwWt(Jb}#UFvXLNnYcEsoZ&)7&deoC964xk7_2%7)4kZ z#{H~-k;gyS+k}n&6vscsFf5abgNbSwp%-GjVKc8O?0mSu@ehnDB8=Y5=RY_CBh${2 zUdjkO2RYJM_oQgsz2DI8SSpVJ(02HB9xiEbsqI&(Z(YZax~5kNqWAJ*rusC&{fLF% zk&=1X@YOs>(VY+*MN``PH>bEzpwj5Pr))vz3D!1?qP5O0 zqx|bBc6Lg}!DQ!r!5xsA+X;)r1qmi@38r0|vnUHVU2M+h7rC-W5SjPbikQaHQ+2aua{Z{ALdP`p0;q{nX5XE}o5< zt{l(C8tE-={w6LZ3pDAYcIjc37*7%1slLwQMqiIgO9s)N_}LpoGWSb8pET?vc$%bb zoJEkSWpZ)%7t(V2z^F%siOpr^%IB-X7KDY+b1?5SDR08_=Th&m)H;52(8$dMCN}IL zFfh<6!b{Us{p{s*AdJipugP@IVLu1HQTR=qK08C&Tg~~Knpt9FKTCW~58E_lh`Ei4 zg;_w-|A)P|+qGub%`@+1ACC!?{v}^U(5FGr*m19p9VFX^?I3;mDN0pi{)|^^@tOH1 z;DyfN(4bfpMNyJGoo}FT0C539!FV4o7l4Ns*Wc~1Me0A!|gxx)|`fMm! zjDHKe^b=oou|3lL>K@o};CQj0+cBZP1biz{iwm!{ydv%DHSaM|ZxW1sCBm)?jxVv9 zedcHVGBAUx^=sNx3A)IwK5|d)<|8?|YlWU_6)s(Qd3I-D`B2BfMLf|f6V@jW#^BnW z47Q>{=~D#!=WDu8l_BZ`-$a1CCLOJD`-cA|wm*Fing4n-^+`vh_u@WxSjSz$=u5m? zpU|HpKqRPz_UHN~mE?QW`WI`WPSmdn2IS5$vm^D-Su%AsB?HT!-TW==Wbo&8yk~H@ z3NU#o4j&3J-MmnRoeU~}PEE1}H3omulzRrR?Or}Al2`}E{d~{;>qKbojkU(WVO{Vv$rcv7W3D*nT-U8_u_SbAQHyl z+NzVmR`BY*8q|jq>es?o2A1EWI(`?{vQXsKzo5M@5MN&BwTWC({PH@_if?_cO!fIZ zGJmAFOz2mZ_Pel? z$L}@9exJva;v>2#4)2A;zC2&6pPzOZn1O$Jz9wNOk3SVV`yC!nsW_5XD#m;Lw~sf6 zucB#S`Q?6gBgOfV#}}kqAzl^e)_($?!3=W5v!B&~=L$$K^M>F~54ZMNn{&M3bVJ!qM^H4e_Kq z&jM>j1u=b%<}k3_gA8JNjr=Gd>(71hH(mli`a~}Mjn^lHR*E9jS8lYI_o4=tM-;Do zns{59K32l}111~Ap}HwfA8Xy!&-cf6JNS|0Rc22)`7gke%Og3tY=RM*S1{_QdWG*V z8IPCv2m^aL_|c%2%V&G;^YY}eu5yU#+~-vlAFtIOKiIk9b4kJeHT#eTwJb&b*n}{? zKDR2XQshgzB&904D1><(mW{7(txmY!^A>6e> z;~#;VKqQrIIm$QaRzuLqV2d7)U2OZJqM*UW&-wL#2RMExQ}}VmOXAH&nDJiY>$9on z8KEHgZ_V*!K_iMrw1Brd_=uYAtjn!EETpBTL zYAqU6IX)!?-hmp6pT!&hkj3^AH*_bxR_!sxpwc)mF@1-RFkjHjG z^f?3d?}>#K6bBq&2uZ}Os7Wd1y)@~^wEIeq?QN~d zxs&SzgD>P zX~TX>nyqS=ruS3g--n$NaRjGG7>|4T0~Y_M$6x;QU;p*Dzx>@_{=@%umd1>4|MMUJ zpMU#@x8MH1zyF87{_Vf~_V&;J?SK61+u#4wKm7JDzy0ms-u~-9{o~*M?Tiim%i}M9 zfBydMU;gj^_h0_{-+%kpzx>^Qe9aAZ?PubV(%Lx0YpZ1weSHo6e3|$1gy|l}XY=aA zjJ*7DPwdxMx6rNoT>c9Q=*T4Obf3~q-tLic8=2_Oq z1Eecm-h_SoBjDv38Z*am;J#07$75BP{Ke?sNzacTqrA8YFVm0((BTlN^tQCjx~e~b z{^FwH&Ob*w;LK^p4?BC!Ui4|gcelI%#4sH(G9oj(%321V1K~w1``;?JkZ%6z>7~NXS+E-c{H|5bURVV03`SI@o`Gk&s zQX(cL0#ed!atiH8ho9~#wQu1UBY&nt_p8o@8mu-r%=}Zxmj-f9&-oU4RR8uCC$!sI zISnws3_4NYX_VbMb|D62gTNFADR^Z z0Oz|BKjwCT8KkrAGcZmg&7N*JS!eHBn;W@-R$xbYkzW&Ts2Saa691%EH0uT(2 z17mTH(Qmd|D0%$#$iF?6Y$hSyZ-26xx5t9f@83+=bW{fK=i-^S-kuyEu!G;9i?ix( z@zZZ9?_*@>vvt<`c_(AqHjXuUb;RQ@cFNDW~YC$2`b6=f5;Fua z+AveBc+n?2MYNRYZq0DQ<_t99X`$!rmd;e?Z79&p_9TjsbFwFceZtZrjNsiahn19((|TEY~4W4;CVrliP1x0t8IO2^_90{Qe%vf81RsMF+uuJp7(=u-q0= z77F~G4q%1Z4HP-uw+>OJy!kyD0%!2yx}hBY4Spu5aj)V@kN=F)U|rV3t1OfB?8j6MSgr^dnZ=?;V+8m*Rl05~vVRzC{l_;~qu&P8v&T|E4DQ*LE- za8Izo8cA=&hrB)!e()2-t+l+#!0$0|a26h{!W8nutV2uz?cCu*K|RM8tb9}IZ1et7 zIPs6Z(C6+=lzRxJkuTVG5QuWuML@Us*Zx6tQ3(Fy!U;>2R|rHafS{Jd zS3)Qed>}ek!c#rY&F0N}W)N17H*$isx;=jK6X1|)>Bj@?u@m;%6})Uc2wUTstS1w( zu%iqBKl9%NvU0k4_kMaT@-~ARv-CkB0(IJ~+6*Ab&Yl3gReA~`0PSnf*AJk&rd@=5 z-Fo%%b+{fndXIb73ra6F*RxM2^6NdR`t7j+E z*XwKdleg>5xR*26V{|{?!}TuScWr*X&Ud4~!V28zSHyyUVz1B%=kewY-*6*eK_^b+ zS2T+o`3k}DB443BZsaQ*$@^qsg*o{JvRx5ZKHuny{PLr(R}h*L{R)M1qd)GbJRkZi zHqehgUvY{~^ebA@f0Y%kz)jzBy23~OcTHslvbwNev9x|w5LQsHPvWnrUiZOsS^>^Z zp;-~m?nzBow6_!ciaGbAk5~A+6a5Op_b;e& z*>{}iR}LV*ZP2f5L_YLaMkGJ_J2{gR{Ynw#misHSl^6Y$Gs}OEpRVj(KFPTvdcQruN=2- zZ9g72Y zw$H8v=WeN4xzpX~ucYr@^jAK4_dazc!FQv-lH0qz@GH%~^K@b*`ghCCaTPsqO8qLm z;HG`mi|}4KUR5C6$d9WchSTg`bvfKJf0Yw?`&{$sch=OZ65@>;sn4=0*+V-vbv`D>+mu256_o|}iM1R+QbIZ+DSI&(--8Jr<=vS#dFZ!!OpdbCJ zKIr9ry~`jv<#N_y^vcauK+=zW6{mDBs(#nWbc*FF*Xc%I@5-T0^s9ELm-AQIRX6&p zq^ma$`zl21mYb`{ts8y0>+L$xud=^x^zE)d>_oo`A$xg$+!dL9+w3X}?UkFWmbD-I zDpBo4e^vK(qrWPLd(mI@&i&|DEp@ll9}mB#UsdJ3GIQ6q_eo5+nq0sqcmt?U;dRF% zSX?Dorq5(CK2!SJMni3Jr(>fgfOZHJ_7yq(48~j&} z2AT>up|^tu|3R*SCX|88mZ2NHffjOP#A_9uAk>@lxBEcPQeQhFey_@QfOPn^TY;sK5|bn3wF z^(4?jOl{!S?82mxYygLW!d*PP7U|86w`^1<$jJ4;>fE{a>PQ$OJPOCZtt2&Rn1e<%X$)5;j zbo9X6JOYqqW5uQsa-@ zpJOH95e0wD!REkNp93N%`@PdiN~}KEStYhOwU=ek$WB-@`I7gIe?r`5Pt7fy0X*BU z@EyJdWMq&hc}7@(01gY8$l&bQVjwbjDsL~x(IaVl%-%D4iXR3F3?NU!EiwRDqxRB2 zR`O=M&1d9(_&VQ(qv87f@<~4M`X~7Sy-`ydqK1H16b3P4L;^xzt3M00y`5v&Nr=b{ zDM<;2G2z-HYJzN0)s&PjTyM(4t<${I5oJF*{v|8fv5rb1ZUum zKQ3tTral1ct;-u?PG!{l-=Qw%97xh)Iml>z;FmQs#lU$uwyFsF(4GuTPOOLV+8G*S z@f`k#4QU2w_~GNDg46_QMX&hLhdcHrc;k{Xq9@(qF~J)-lnWbg@z)QUVO1b7$-<dgW04Yhw3xd@GS=QfX2BbH7s*9nXm=b~ z@J7gy$`msq(Z8cwm0-USV<)Cy`#njigc9JDoQ;(PY5K4KEbk?v0|e1s6-oTeegG-) zTMIUa*>`SxPD%D%5ZXIlpZ8>yG?Vl7U+|Y_um_i*n4&-Q+%o@?V!-Ex7l|>mNJbK{ zXMvR@0?&dmBdXMX%qTy9jNF)Edw%#nar^E4wBmI0# zV>0yKZYHzDD+98yhm5XEYtc5Mx282M;%hNAPaOznXj8+KK*) zBl;6|COQl{?t1w|Six%Nj?EdvU*-L8wM0!Y4G&iGlh|NlG4Q~R42jn_`F1Z&=$XZY z?a#9}6AUG1i!Ke5rtZKOvH4MI!)>%5%GEff9ik}HL}o9Y4dI@1wwTGh_OeulX+AGa zSRIV0M&nMSUN7irB&Gx`0pdd`kaC_>lyMx3yUShO!wBA6%mTMbDJBF5d}GKUYo-2( zLbD&=6Ym8d`}E{wx_lgRt$-F2ZBB|$@LnZ6 zi@|QlFwwYr86d`_dX3;wlZW7xYPd3 z!5Dc3EN%Rr?6PTiN z+;61^U*)3?v*!x>`T7oTEKQc|BHfLiYDm{@q}S?2PrVX+D1Y~&{87F{ zI6GIgl~oiL?-0U*^)9`i`PC;E>i-eaD7MxA>OasyKj)(IWK3q1Bb`-Le(CY7ZsbVel4z2X<{-E zILC6#OZT!}Z2t-RARynEP_g=aaSC|!^dMC1M{L?>uKGZSnK{_3*AE+A&pGS$vv8)- zbS;_MUu9ahZT0^6Ddl}fwPccvBU$(08b56&Iz^0umZ$l*w9Wz3@H9b!Qw+L)%boZm z<^Dgv!nVqQ*LMdp@(hTi?){OJqK)BTgR>D=SC+ewRm>CyS^MC$?_HI(TVfmf&Ac$> zO8aCsXtQVM=gGc_MnJM+{HNrIP7pw}+Ef0VUrpG9N==>H&@MlW5S=?Trirt>hX?H(F7XWJ4gVPfZ>gZ| zcFAHfEC3@E^%o1Zz9jPg9_h2#f+k(UzDUEvs&8 zO?u!Q`wkf*1+eaW;~X%x9=uIZ$eJq9Y${z-f(j)GY%4j!l?R-P9E2zM)7h!frPsG5 z@$Lz1y20d`e0*7W2HLL;q~Ku!Hs?TMG-!ou^y^=LSwgu6tI6*nW&Y$2d^{ok!Z6F- z$$a;MwHw>@b#0ClxfvBT{9lkH=r`eLN}FV0uJ<*&+``H5L))PT^0Df6+D(+Bcp`c@Au z(_@yk(=@G}@=;0k(5)u4)Gt<9EXEmjO{#o@ue)AV!zP>Z0w=XcI~qGLKKqr`rUHL) zC2;h5n_RTfjik-SiQzs8p0w;w!H^4jVW?@yNyYJ+jG(%KCy30@MxSfS=ssiG=>BZQ zRG9tqbz)VcGJ8;EzIY_o{*5Wfv%=3gElZI#@yD5T=Hjrnyr(%NF*jWJA>Ob0)p=}_ z!}*g-2A3f3u=g3~$XtVCWg^=us0@F>sZs&|U^qOJ2)q0|Hk6c@a!bzf`kn>S5)8G0V`P3(ucA z!Dp!p3heot6tmPtbW_p}E?0x2$_CENQ8X@_Am z1IF1^wK9OMMS)HZxux{E)+{n#g{f;uh5}sZl*T1X^Ehin%$CL<@yQXP^j8 zrX-m!zSuZmCi)x_$Q4%eMd}pRF`57bOAOWiJ`2L@w$Q{0zw}4Rlmx5 zg|mIp9Ka)}<;pbU_0FkD8HqPCh0|$9x?;L;kbYC;NV6rUO4T4MHrtit{%Y5-Q`VBz z{}R+w0H7Rc2-ix3NKI~7Q1%m~$uv;$Ys?haK*FsD&D?K>ggx83)PTPOU;rr!?9O@DU3yj4ILy4f?{_I#9Vp9fRG5C zf1R43oQ0RiP+JJHL74ou%#Rr59F+nyJ>N;E^Uy6A_r~KeJCyl{HT@@7eQqsXhwmx<9r%>y|uJjg9@0)0(dl8H~2=_?M{ni)w+sX|kKGiKE0fhW`zwM^Fz78T@ zWlb|$S zm(rroa=>LHQWl9Y1(@T)SwaVy7MX;AP>?L!PfaCCp4R~^$Y24K8I33a3c=Ca=$xeY z_tdeS9KrKfnPOBFSCNo-7n`;4jm^Wu#1Vn0T7ZMf7$fuOW&Eobo_)fOAO_MgT$$b= z^oqLa8A?BGdHSc2Tnm>(Vx+UNUoI0WrW@mdJ;L75(hPsK`~8;mbV5TD$j~=NBO;L{ zmGey%VZY6S?1R^mL~TAn{&Y@2)8Mh^9ZU=!V78EHmhG`EXKPiG{&YAQ-NZyOTBHtK zrRRm?LSAmv;M0-pQ3pZ}UF6o5`$#^lS}U3wg`>$&EIR?y9l-o50<8cxw)Av)4euG^ zw^{&LSmEq$rbaYc(oCG^u+L;1b}wceza{EZrledf#p8tWXIrBE{r=zNF+I6>gbjN=YS2y= z|G>7NJ(R*sn23Lz?^x+HZ^T9(a@hS7|Gw(ytKH-UYPrTP*+_*$Tm?GrBi~7sV=P7+ zKZ%R-q5bPt%=+@WgB>H+RxJ$kDE^Jw5xz$wpMGX*_Yt?56h9e)8F`V-bIm@8n}yD9 zsTP)|_HP|7d&=zLQfCn0Q&lZIO9MF4j*_7hF*x-Yw=7xUQ4_xrXd^MjX#EE98v3$a zt>4BR;_xl~UpdRY9&-S@YYE|J-CPcb&#MIQ-w!M4JaPICC98H%-sQKYV4~fl-$Ipc ztxuNrqX0Wumq3aw+PYQoQvE9;j-gLX2FlJj3>aAF`WyGT_BvQ8@p*XrQ2)OXPxSjZ zh7hM?)~U}CD(JFhX2Og)F=eJX;Yupjm}p+H=LV{A? zI+Exec2ns$@&=j|yIA<+w7Rw$Kr-XgR-a~ZS(QnF14$7aH>$=56>*e}U?LKpLvtq$ zrN4&saJ_1`?+HkJy*<9*_SHP3e5Ye9brD?8@gNUr!u8h$+;9N-?QzI z5$EGa7uz^67gz5Ohw^!LtNwukgW*MTDM5_e zrT8AGzOp&A{Q$gs_75#K)cXgvJ6S#{`Eu^dXmIntZbMs>m-yOJk0&wgskw;IZ2!nJ zGR|MqcRYL>u+P?*+VY~ICP$FA*QOjR zNOPrU`62rAz)SCnUOoP2>QOIG#w;Sup zP%riem6l%~3f|1?m<1B_UF<()InWX#OahIZ*Itq1B8DJIEt9kBZ3lMEI9DvhBr*0> z7~ASI0R?Y%x?N-Hl+$oq#TwNe z%3ls^kfa0v-B+8zc|i5BnEyBfdM%wwttK7YRI$6MDr>S5b@&Gqs6cxc=(U%_Qb}Ze-xzq|+zQcNcqJaR2 z<*bJGh!KLCiK-2lYQBo(RQ7lVT1aE1Xxg7c5MOoP#p@8i)Og z?mC)8R4d-Mlf3RA11tV8zzo~(ityr9)QFT)`7~lK!(I`yIl0A|6*Zl03WLAqEs6O?h@Wmjprw$&V2}59<@!pawW6|60 zypjzSy@8xeNwAnph=FqyiI3j(0@Z)N$MSRsWvPFo7C=RQA6ULh`G|Lb!&?6#tv|>y zhgCXu_JtI!RStpfNFHM@v=TJ`cZVvs7&N|YP!v5GrjWHH%q$k(M6nM;6*+`(0K?`u z>3)ZGn%~#CCwixhFQE6XF;N@J=r|86=r^t10^T|V<>c^*meRGeVg|KFz?%$eh3k)# z;_`xJ)^HWK{2|ADW|T@-_L)K;zbWV`j5PG5|CtE+YLJAPa3nt=y0=fQ`E?0@p6pCx z%%^hp7IzAWcFYp}M+Qdd``P4BLGP5MHB*V;6y?g{Y0QXYwJYL{5S-Y@k(m&gNWGYp zAu2y2HdLi#!}#*jW`6ZOW`Bu1i{d?fdbpUN((HzFSdnC}vL5(*;`MsAGv>4e`C`}( zYRAg%_%mk-H^vX5{pRnRSC=L&e?jebI8B`OQQ-p~3m@d)S`-L%*J?kh7}NN&WsRg@ zv0hk{2Bqq6N$@fc=o5MQ-+f&?JQi|alvRaA{w99-EhH^yg5FJLP%E2`tNWxk8;Mja zdpaH{V*O9QLzpvbpqs*Pzb4iK3upd!_bCR^#=nGxJ)&7Lz1|QDyCNq-4iY?nHi+Zf zL8FlIkJJyCs=H!*u{$|app7)6x-WAM)D^n`&&=+$yh=LsSRSKOOruuw?Od&l0_9C> z#n3hMkTsFncz{^~TNb*~^A@{2&PVhPrzBs3RaAkP?0%>)kVsH|Z5m16nBdn+_8z6aZQB7qXa+``6_<_{S_yk{k89T_yHCSFAp z6j8D7dwD-3PkOXCOS+K023SVq-!X0B@V``$sCIOXOuzGltf#67d|e1WBUi@v*Wa3p zOPITc>Yq!~f>o}_yo-2fR;bO}*@U}0VoJDnfvZ~|;9)s)yIET2QRFSMK`6=nx}tgh z5?o~hTgL!_P^zAS^8->`Whnl^v~=thp5qp+@@rWHNnn|>qpe>X4(Z*m<$1BA!;?@8 zQf3`q+!!uJ*-#s@DPpzQkFPIa$*1|Ow~%YIJU4&w^T8L&Ul|_`J{(vys)ztW?f!IC z(s%vn?m3i0+zZtcVe-Kub!(fM1$l$+qTk?^XV5w}q+L7rRdrnvu@#OvJb^Dr3bMZf zp&YY6eR%D71tfiQ{(()3bvJw*_q|lVPl|9BfTb=|!^k=F9jaQjqTO&*=S`)rz&p&b zuOA9u0*6Bc-xkgFC$EmAipk%IwUIb!z;7Mxd=+o6@`U-(gxI@HPhuN$QX=O#%U3b` z7NV-JA|8jOv)pEci65#6=M4_HeJxCht77oCPN@OQWhTgbYy}h~`H6Swl9q0MA&!4| zQH3)!T+Dp^*du7xy4FBGnp-g0D&fvFB7npT4!{3sCy)-0yVGo4yZT4IsPBJ9?@V%$ zrd)DQ>d*4AM@$NWB;t&(L z`TUMm3Y()3Vk~3KX=O zA%Vxbn=BdXPk7(6jBK*JO5{xAzofX8fn>Kzq}yhMe-d5@!o+i*Q6b+VrGy{QI+E&Cu+eq(OhY;k%77+N zl7^3~oWRK=FRRuhK0m^Q*m>~Ottl^sNLA`(SE}QZm?8F-z;yB>66E{(=NM*E?X<== zAJ6JsRnavNa>-1kB$|RO&-FWRSGucLhPSE152I7X?SqYREK_JG7VOFO50zl1gI+} z$H^SY#XYu1u^ZE~{XPK>E?FB5VCl%N0c3XLcA++?KH?qAa^|lxg&${jhvm%gW@-P& zCNe=N)BQR`i^={agi4)!t4co3@H64V20C?G&d}{+yZPxlW8W=d3ZV}{Sh4aG5Tg>S z`Lbv%qHw!M%*#FbiXdULyD!4Sk<2*BT?cEi5BGWcmr$gSzh=xq;g-w$8|KEJ{{sxy z>Hh_c5#o<;b71A-iFpw3@+n|d2(UzkP{N&G4ZJ1&cbb9c_J8oAKJcD3E5t!6s-!D~ zMqYGi9rOS0K7|lSYVa2{3AyiE0o+E~eQ&L2NFO7$`AK=Gae3atT;XYVhRHWNQ=Z>y-&sO! zl*m42X9R*g#`tu`AzM#i*pibXcg=9TJsg5h?vLOyWY>%sgDkYKL54n#tKE&xC=*Sn;Pj~#dNtNez@8b~gkpG)Vi>KC6!7T}vKG-o<@G5t!R-$X%M4;sU6Kg-&$ATRLC`Wg&n4+sf1WM<#A14far?8;9c zjbrL-hL=KxH+;*MW8<+bRD`Cs{bzuUROvLuliLLXgykCK#B8|wN<~6++e2ht6 zH@z~h+DYbZ+FKU;`Qo5;c|LkiylaR5X_ar93V4=X#mrsJz26Syrig@#?!#*U?cHhd z$wMveoNPu{A3kt5OtB4TyL^yP^h&K_jYRv}+|3FU4j$L8xbgdZ(e(A?$U>|CL}IL; zYKLumvvF?KRjN2Kj|m^n;tv@VzNqLTzxbm>Xar3uZK9Z0%bpRjhchnXx#Zt5ORSg5 z&re^r7#C4+B6i9Jq*=ACCw};0P>xsxnz_SIR3cU?J=#Di4%AJ$B3q87?@H=2H_Hp0 zG6Pf(yAUBom5H!Cg&GUT;LUbnbl>~^*1kq_u0vYjNc_jUE2GC&P!vj-khIW8EIgMC zs(R}1>=u+-*EhmL(m99?rm!m>z_yX~e0m#s^>3(KM!EMjao2yhUObOnioNcp&CNw3dBEGVY^X~GFb30ZHHsS>c#An5gB+^) zPCaFCb_e>q*&!txdJU5Mb-Z*+P_k;$HFawmw(jT9#P%J+C0flgVx;Jo2Vb`eRvDSR z{M^etg(Zi4ED10gig2d3~c2Wydu-&xq}WE@eJTWb(hqPIu_*?1fr$woibr&e65$ zaYWM1tP&7mMlFAHMj?lSJ<$z|gaREC7Y@H=F5uB(dX;nlB#Ne@Dpzpw^vK=spyX&AJm(ugSk>3Z*MD2`EULtzS|X$~fb zD8B(Cp$FBTI=YO(_UE{PeiI1yod?%D;7a#JN{DkVyoMSKElht1foOT~% zPQdA>X`A*~kyv$B^?TVlcC_m&#_yfWcbZlR&U@J#dD*=_RORRFy`lE8iD6z%Q^N4X zfhIXXp93fAlaaVAZ-tpz0=wuX5bF&4j~m=$7CafO;7#8vT(wEYx3wBHrnsvIn9j#3 zmQMYd>B6_RT-G;{)t7NLSf}<7=g8F17mC!BdNPR0o7tsQ zj|ffh?QP@HzUJq9tUex+(Xp#5B%HGs1_S4J7HQDz`NKn)#NU&5IUXk3#HLDfC8SCA z9Uw|_*Ko;Z7mU@vx+(O``N-qS`x8tKDAIo7bGOYlyAh5-1`TRVd~kqZdya|?18lhq z9_wrTU|QG%27h}TpIXN%RRUQzc;%s*+bwAs9_vZb$uA$XPW$JehCN#$~M zUbJ*14;lX%($F95&a0KcU(A{jBx3PM7j;+GtUf!#oIzFw3o?3ea1e>vi{A*f!7Ze3 zPaL@9_k`HP335{W=eSGUPB#yfUI!uOWRtD#sK(dTCuVzwRl*cUg?dfnCRhhCaHLSA zHh0joQ6c{5?vDBkmgCvGY$YcJ)fBj9(SO1?WpPPG|^#lqo$=d{0U>HH0+xitCcsWww}2Y8DNQxtLFeF`J^zdDUu2~nq-qmP{|ROC_0r5fOUs(c5Nfs!;Lg`_@wBTUYYU z?P}?*1z6b)8F{(RpP@Kic=ogEiq9=#IcGOA%=4REI0?o8ui4XW>4iKD$@KIKMSDDA zQIcQ4@J|~^XqX8jg7{>zEz7NgG)_0%kTFF0Ux-7at+ZeGCo7hxOtCVYa%luA*7SUW z)=jJ#TJ~>#;5dT&*xVhj!iV@L0TQ2|L{1-9EbBczhiXQMP?!;5!E>)dCDY`+(nxgs zx(}`rrV1~7VqGr)M@N*O>yo^ETxs_cx_KMUC_@iIU;PCp=2J{IHa|sNSm#*8^3KPu zWUc2|%y%Ak)jQ=6PuQuEG=q!fEBt>}*EJHH?hu^3H-~X0J{&a(<{NAqVS2oGlMU}t zoCy2Igz^wX!-vcNKD#WW>Q~3#eUr7eD6pX9Tm(InmwzT!otu~KN+nnFDcY+=HTfbm<*JhJ^XltuL@z1`QZL2sQg*l=gr&bG7LQ0yS=2F4-E z+I(wwn1=DV$C-Ri&*xO9otfOMD!e0Ah~LKt-_KDC{ql{Kv&LOJ9*=tn8=lzP=JX7E z>hI5AJ;)}EKTFLwI<`k1;Y7b{KhjOHQAb?@K_a=q|53?~pr z5;Y!(u<1ns9MT-d;vSk#B5kYb=;l-B_r?EWEmsZPX?Mxm3hQTV;4Ljj-lnekYAbWW zF&M;6Y=MM*XPEw$e+D)x+LJ(@7NC{CIX{%6q7GtJYDIkU3>GZZ?OrKlnkMeJ>5)m# z4n1-PdX(69$D&+Vm?W@&><2JA8p6)w|AGeBTc+2TRHCndi82!Wl7!4YlATE{W%5_z zBQtbrr>X1~5MIT|Zqv73`M9un!`MjGn!A*erVqai`I-}O*c@tVaZJx=8L$BsALS|O zv7HpjlJ*d^q9~I6y`aZ2_YTJjSWXjkEl_Ag*Re4)l}*1oKD^aMsN)iXp~f|!(WNYZ zjjJT))$&+$Nkvya{Pi$=u$6w2DEDZf21(K!M!mB}|J1{rDQHJdru#i8#^7OECrld> zkNJHQ#`MIBD5y+ytwL*Be3>M&>==^gCH7!O?O13vFFuxBLOFf+Tq@2w8;!nMNW=5_ zNwAZFa@OX1hmf%zZtN-EG9}HLFA5daBsO=8MBxf-+VYrSPT+PC#^C;`Ztmv4E2PGh z^#ur5V5gJJQh4@c?4t_9uO2;4VlE@bqdnTswfH{Xkv~hi8TSZJ`H$-P0YCUc&mE#8 z((ZPD9Vn@Es~t3fmJWKFTpld`2a7cR!`-V3jR-;VzX!>!pVF3do%Q<~utz=2gwUgH z2_ikYmE&Pxx4~_W2d1;jXQ9!B9FKljg-rU&qZ!}!N1@3W^Y0m!F(x*{)%7DMKwiuj zyXkm&1>U{gx}u~>nRk0czm3xli(U51J2qqw z9J1%;p3?3rhX*CWyDg*N(vjXf+6@(m z2saEW#)%)HtGU2r_bGW$Y0utMaOGzOeT*QpjBV-Lom7<6yn^Y^C`OO&WT@3i2%T?6 z`+0q9JqAG_E2~$wwl)dpZI|iEEb*RSiAoL!RFl9mc90AGCRkBIT(H2Rk^OgY6SS3C za>9wxvCy|?El&r{4kpKf)0A@B{U3-Vq~keROBg?tef_-?R!pBi#Y_ciVZJ-#D>r}l z=(4A*a)v7Jgg8{%w)uujTe09X;RSa$%`EBXL>b{1nQBC(nY?20OCKf_7^qvpz~%UM zPLDL;r6+lB5N_jhT`_iY!JM6X*VOwkktumK8gQ5D1@q@>XG?PW3=C3c^Jz+d7E%`b zeNMxmv=UYw4;-(vwTG?AYTEgplr|sEhQ)bDs2M7qW&r6M=tFWWhTLTD=C{-gm9-fMM!ItMTs6|4syNw1NUaWuJ({gF4SIko9~ zB$AAsgO=8Jn$D?h+s$*8gTg7kCxz$#p#_9zP;4fnid@gG?xV4c#j{3){v;5_%KOh) zJ;omYt%<&Uh*XK-vFTrTl6ZM`fkdXSnwYRoKtV4OL@4`FZyAKg_;H7LX z!(u6M;qPoDQ~dT~CLCI9a5TpuGPudFQ7cjd1`c7viNVnkS-VYfgfg$-d2y@EeQ#S5 z8RUZlDY_J$5wy!2{O8yy*ldX@px^~kiMlmC|bGBMu{pQXr zB0h)&wK`CR%3nbCm!+{lVr#h;?HOAjc`rBWW{a#tLU6mUAZnR5_+)U0ZXfHZXQ9i; z&lX8}J;5)bc42OLnX$RW?g|T6n#9n_3#4|0(<>H<3XA&)FRqyP3#OK7|T`sZPTWw_4)HIcqL`*^`PMnP`Ft)xByJ+Lhkg03*<$u7??xb3K` zg}0EuTT{C^NK2#)3976@$@z2P$0Ru95MtB zqn04m5z%K?L`@7ar${^1KKo9n8IN%VD)6MuT|I}a{Pb4BqW1|S{dXZb*V$o**DEyhhNs0BV#X~q+0qobiTAf3ImH$|l`hJ+fiOpyqg_E(^!ujgU8HIz~j?fMA z<9~Jn(qxhn)Mg%$`2AHGQQ0;^2-gqf zF%c`5Vh{sdU(5b$uCzLV@pjfRhImk>$Uc_?TADJA&|8>KHMCjPhN-}3)YignrH7~@*$2`{Em0K?%hrxWX5Dnf}V4M z`SY_+OF#Ji>xczsh*sYbnbST+LdlyHl2zmKU>ccofx|V0_!|CV;|6DbFP0}b&bb&{^YIM z^ZQWumE5DY;M0<@nbj0MzCI1J@3;CkYz+Ubk@w+9%pP@)EFBjA*p4M6qH=ewuk?khAl)v-rwhpigr{uoeT~h97wY*KBZ~Ca2%hZK3^OLGx zq2Or{9fP9%r@j_=X;>`=5)LnR^c8E%J^=URE$o2gkQAZ5M88vQgxA?U+n&c@y_l@k zVtYR;{obAKKww-~;kn;gtS%CCp~hES5lC;)LA0BA<6dMIxl3=JlvvzFReF0_%^Z8L z-A2UWYTF{KXfXqjy1=N`t3aTHZ*&w{5Q*V+ajLUm6+QXK8dsjf;2w@XF*8I);@lc} zSi+1H612p6yeW42f3(vD@ejslK;0teOy>J%;+%j&6d}2{;h6|^{Mz?|7uxY_FNJ54 zv3RXu7|ggaQO&IJQss_Q!~sOTqce|u!TO#(Cb?Yb#8l?Od7=LSv&QNHQb1+~_!dS` zUy-E(2^~k=*<>#TwpSvKj?>MnPoRyC81mUrWzLw z?-!qvSqMe_LTuK}aWacj7cEl#FX$^@3!&nN>Jr}%4xLo$n2y$`A#kriZkk^}GoM6J z$N3d{RhX``7m}~tlLrDhM*s9nQ7jghJg*GGg-dCwfRh&f5^*bS@RsCz^Hx8G{sFh! zx&As>gBxtkY4N>H-@0OhRcyvs*0y(?q*DPEzjey?@QUa2m23mk>vw8wjz!4Ilj!MR z1~HPYxR1Y&T-FZ2d&}=gK-r3%o2j?ubxsT&*t{*MF_A4z~3 z$MTT`YC47s>lPKrtJ1dA!wB@)oPJN-?EQ}eEo{ejW`!|ca?iF`~^yYh> zjHDW7ScB3*VOcH!T^7@}NA$>DTmMJ@7JDBaI8MSJ$dAd)QY7>4ectoM;h3`N%+)BL zPf}mQIg1dSJsXg{l!XjVsljRn*D+27CdU78z?Fitmi!+MMi+xo7Y>|1ZSgC+2d!$g zyqWe^Q!Vug}xqIUqT}ftA#VGOpa&r86fBM5I zrx;A>WgCxP5RN?Mi?{y>WFkFF!$!dK8W6$I2d5FC1=wS3e5Wo;Cl^ekIz<1<0VMrU zL=mrpU|qZFfx`Emq8D$}$6hsbmu!`78d0Q?E-N_Cj-K{&Z|kt*)c zp5^&uw(o(&3SxMDGZGZTMA-TI{5C)nE)8JDT?Q7XG(VX}pE0}8?UJ792P3HRH4Ljv zhx=*9B!?!5$7RDIiY(M7-X5_FL4<^VK$ia+|Ns0x0K`ZuyQ+X=G#tqc|;BdE^Ehv%UMT=o5^Y56}ifwTv8`$5$YI%U7$ zn{_X_j$Np`D^-b8b;O>-x*-GOM!d8^17@!s8PhPpk7A%?E_a&&-PTx6q44scoC0Sd zklG|7?PZIm zSGR7(|0N8Xnw&f_>W9q4!GiSaUn)vOg!UobR;n12|c9i<~7N?LUSdD%` zRnGj3_S8!uNYt)u(|~waq6i?LqCSB`Pl_ImWe3{bKrz(~hO^$+Qq^Ot;}p16 zHN$-qPQ&Td(5e4pgB(%8YzN=iKK83#D+md9uQIXH^A39!rKrD0DJ;ouxv^b=(emT8 zRd4ILYFR`Fv${XpJ&gO8{d3hdgDzPHAnf)!Ewo7|dcNJ^XSQKIlRw>f#_21OMz-|S zNU2f>7)*k+`&|aCRZ-B7eHH9VRY!a5o9$7E3Z^@41(sB1?RahF?Vd*rEO`9-4+CUpf9|1`)@l`!=?|wa+}McEyyY1C27LW$QvXK~ z65SZO#+g90i_I0sjxt5lmRq-1`x65}wU{%- zGsKC$yBcbBq6VR@b2l~Q>|`tkFZwSNNTw46QTXfhk;kq^bc8Y%hKcjJRfh|yJxZG8 z%5T5&F7PGw;J94Uz`F>AR17MaH9US2S3J1CW4d?2e$-!js$MK8?aNWv9vV%~?2j+s z){8&pmCMNHS<{^!>60?GXBt&lV#h;z#W_u!qVB?TXz+%zDjff;mtcXHOvsJ(qF4#F z9ToO9d*Joe6w5LFW{6F@d&(8jN7?YaeboosduxZDH}%5b7cg6n2<0pQ7-I|xxftz& z$fNvTTaO8a+R-}oFuVz@P%k#-Jl~#=C+y$XrdIB`Ts#}vUKul_h9^(cTn0A^ z1}^wxS4o~wN3T`*sB}^EE&NT?7>`xKze9U4y!p1KIht2Zig9RpPJKu)|E!xm{Kq1{ zfBoh1m6%J~-MnsO%mcA~JV!*GN5Oo11$)|h1-sx;-!N<67%t8~)dz~kgvc2SO8;S7 zTOrz99jp!t8h_K*>TI;d8fs6{QsZoG2JaK7```(SX_gE4Orxa`BDU91AnzT|OTu&*cV*ey&m4ZnD7<-nS0@ZVkPFXmpX zGw-!%Tov}Ih|IQr)&QAv63Qu{H2Q=rwjP|ZQJQURHUtzxxyrTPU!UfE!Qc7Z)B4%< z>r>Mo>FNoEM5g!?U>W_2g#H+k-b3?1i zZ~(v|BA0JtEp}^?mHcwdQvM|Fs=uc|g<@%oP{vWO+86@Hj?hD6lO`W~G7PhNk)4d(sIo?2tT!9y`TqVkQc|IaBV!+_f72R_b{$*Qg53{-e z*Bl#sfLR?PHI4q>Xe-wV@!v8hulAcQXaq$dX?v(~tx^s2bR|Pu-EPWIv5Z@gjsl89Wp6GLZv0M1IFl9X^I8`%ojam^Awf7PJ_((2>jMJGr z**q&!O>zUZ3|2U{bjk6Efp=8aO?F%@c4^WS{}k_zEm?LJBylhb^Y|0au<69ZKOQ^= za7u5t14%0XHx@wRFtodO^&}@n%oV4{H%Io4%#t(K_DjLf4n^R z(LFv7`FQ*XGrRQXqe1mUYc>N-LkfHDh<~Vf;FGj3vk8&E2 z`gh^VCz1y=-0Tsq|E#Eo<-rMhu`}68hfa!U_Z=3 z;_0ryj$$3>8s!$L7N5IR|ADfF(XPbE9)h$n%cI}I+EWvXw#;`yiyW_Fo|D}wzOOLMI>m={bz{b6)?6xCg#a zF{o+Eylw0nXnlrSufx2R{5UEsvcRp986{-S?ZkZN_xZZ-j@MpL ztFBEwO++L%a<8=%II1_7U@+&5d?YcR$EdIP^zliA`rah5BQ?YdcYPTw^w=l?*0s?e zDUWjpe~thN-7AzZvXu={W`y!&lPtd#&t;AXTd~zfM#^~zph^`{K#+C21LJ(G4c!6Y zq-Ka%+E(Lv1k$w+HbYKNkJN~1>-8d42{RM9l?Dvn>?_D)IKLPtJ}F|vDt$tQ!u$jR zG9wu3-g+p+E5vYCgf^IrhQlGa`g_$W%0}c+;wBtiRWH1Hut7ZArc)ASPcJEeJH)w! zqFYG&y)FQnd=3!o20s$Q6Gd1E3u7q2xd-HXq`mDbbuiaWR7i3s15rcqL{`%BBi>HVweKoqJxBaBMBJ6ydwgEJ_mHWsf;|+fg$)oj~C>N@@dIy#qUtXu;Nxs^rfj+mT-*OU_2Y7`{Z7h zf*d)>m;AwK12j0fX~w!q*q@(rs`S@h+8Ik;SMp-%^AD0P_MBRg*QJ}o%C zqQa{ea=_>$4~2uv;Bo@5h@mk6jeO$pq?TX&H9&qeE1}dd?Bq$vkne_NcB-*h;g5gp zhXPEtM)pzWfB1-N7G?@y6GvCiUH)8k|G|*AemsP%5QFr+G0h-l!)^*WwXosidzH;oU$WY0jQm9|zeEtv8J70RO-3hnb zS^cH9fcN*fmg*MAdhid8(TG3vIN@O(E|^GfczHeX-fDU5aI#zq+hK|$NFvghNs7NNvY-9?J$CSV3ROusOMvZ_a{EEepqM%C29?_xQcb}OSkh609h z1Znvicrq&Vak*>MGccHli)~vpp-Y7VJ2b4Q16vyi8SC#&mLlaLLQZnXr zxS@8u+{6{5hyxZnih3jXcj*iQ}&{}`4jx+wT71`JIjXZM(#@QsvH zKF99yQ_&+Plo4_k+6*}&3{gxI&{CYGxH4YpMuqztK{Vn=4^EYLA^zN3BWv@@Z)dl^ zYQe$40-jPXYFuX4VCyYr!Vuf$0gV})G=`d~&PuC$(@kK-JZY%Qxh3+;X@3x$>$i6gNJJSg! zjxY$o>cALs0yntp02n{ozaD#y6^*n0?_v657*6f=17wo9<#h6uCSgJT&%4{@h7J8g zg$sxu?-KJ+7FNSx<;VlxIe9xaS#Q*(GOXFf5X+L*KXMj`qu=xeZ;j;Iy7`9XYN5+q zw8dPs>HqU-F@MZ>5^hpi12sA+pClzxUSFhlxk=EquGjOq%fnXTitk#nC%y^Q;P+!N zlpM1xhER1R)~HBh)B%Hkw3*v z6wI%VpmWCAvYzmT^@}Qly)1m~2IGttvRQ)09XaZo-4L&S1Oa;`D>8@H->z?P0%7Et z)=SW)dmEP-$-pgqMo7W0&Ew5QhK#Ms9fKe;iy=Xw(Ltg1L7|<^IDYdy3uk|3nF!@2 zL3zl~F6W5eb+WDz#BjrUHx!BcLNn5ZCt{x7*VX){`Ro2FVt9vM<|YzSn969|<25GkpAwhX zVUp4qGu7Ctdl1T=IRxhc#Plh5>tv3|tO?bbk zG^!WQ6B$k}g8k$>u| z-(67t#;W!*BL5FtZyD8A8?=qK#oY-`Q(TIM1d6mYK%o#Q?(Xg`E$(i`-QArMB)Ge4 zaknCsljnWEbG|=kt?S3$KeE@(zVDg2u9kj`#^oFGwzG038K3#Qj*6-lJQ0({#q^9p02w+;Oaw^?*D%HDcg|}*uJf~ z9yfc7D@Jeg6|s@e+-+-CtJ;>|o)TEiQV787N{g+Qe6YOr3Gt(X=;uNrJuHYrnH_DU zX|znF7M*V!xv$OV%a{-&q0$bbj1|WWA&s}Ky&H2$T%vzhXc`-}Wkm0$b3aiP#UY}N zVvt=?uXcq)Ya-fgqtK?aL+mDhHQ?k`tw<4--q%{zr2lRQme3|-lDjykXr#D+-qOAj zp~<*s4UYvLiNhX%;M=;Hm*rj8O+xmyV{AlcOtK*7VuV>SBIKsr7iAM-a?iQCm>Gq4 z6WW|`v7(|Mr9GVqYNV{oUk3fQzL_H~ZyPn^zelyp=r(_M!9DA4e)g9SRxUKO?`E<0 zcIbZCWuER<9adIYm>gjRDav1AAxKbR$M(5?ZK;@imND53^=n33&tys&XkbhZeMLaM z1EVbD9Cw}9F>BcWjTn?&8B`ws6)f$M)g67pQk%qFH#TsKy)KZDt$L&7rODk@nW~pU zeZ}E_HGHjZn-#IJQ0|-0wqmPbv}@PiW?yU5oetLb{Xs(Ftkw92)9WVg3|3G>&9{m^ zNg9*yPOw~kRXN|nduq~Qc9TFeFSh5g`&<~RZdjUOS?Q&#Cd#2|ui(nR)J|!$j@vvE z7&O;tW~F72u@Sl|rMD_o(ir`sJHLkd_O1O&#m9#JVq3xG#&%1s^~UIki~O$jvl@(m zGHZNyTj|?q;4~!jbfxDoW4y^8Jl)O9tMWV*cs5w<%U_x8`W!|)xl;UW_WnF$*h?Vs zKqophv%F669?IcuyUoFADScTflSv}BCsX-RjK#+y(&;d`*%1TPV^(7&Bn8aq{+yR_ z_u!o}&cMzn%N4SKO8pBOF4?Ky(Qcw$lfRCpz0FeT zxX$u|80PDA<(h_#t}{$HCsX=lF-m>v#kXQ62UAd@u5Ysrxf@@*%ZEeqH!}Vn#%Y9* zBjQ~fm`!b@DYXnj_S8i1*L7T+lldWdnU%48dNSdmdIictBloRHLwAG0mP$jy#g02T z=Ci?PzKh7$e#37y3oMCNk`MS>Z+XGty04DsdAL8WZoJV*u%3+%gJEafkGpTum+hyn zzFXFVc(jL1QonPa@wg5l@PsNLO|}_6>*_58KBM+aX|>$+X|cOp#QWP0*B?cn3?XQ; zU4i(NQhQo!Wv-gFuSn6X#92H^y?aLY-Ha-?FQr%Xb2C}*OzX?TXiDm^TIB0)^z)iu zbVb=<^q3+hgLu8QyG<{;oI5iOEU{e?xG-LGV6kKTI+F%@g4o~MFFgHf60%JXM1Df# zSFdIp8!Xl>NMk>1YO^3NdE;eUP1SCfd&g38?O|(|9%{?~yKP?|?mfE&O%%LU!TmGc z#N5zrY*a+h?l)HsL}&BHQ+$YiB< z&L85y!qNku>Eg4~w|fSfa#7sTm_dEQ+q>+xPVoJ1*4u36NRsdpGxmFRAjhi1QVw1l zjgW9Z8z}*>vmj%#bzZocsJeAtnL35#Y&PT!hGno8_D3twbT=uC$oKYQHjy-j#hKW^%J+KuI+k2h~k6pT|H`<@_u&TF-N`pPOsPDK+1%iRK*N zH12QaJtWDT9%>^`z2_X=G|px;TM~vXV!x7Mmvd5P`+Hz0ja%*aHvb3Bv+YRSTmS#!2_bf}B6gAiJ+3~h>aJ^fLTntb{12$TE9_6Jszo#Y z7hIwll%fBul#`(q&%!qUBHPu+q2P?$Nc&=kuQ&6Gid&{A-9XV$n0J!Ie&fr@jC(wx zw$I1TtGP#1Fd>l7GEdc^=UcD8$9Wln5=sSs&DLvkt;pw^UtV~X($AKCT^3~WnBSsC zxQ_>P$ER06t~OQP=f~SiG!d+efzs>5`ES3J3~1v2i8vzrv*t&Z{#u9}`QK$6&DeP* zWm%~r=U9~wu=X4q1dH7wXN-NMxWCTZDO$I%Mr#I}9_O&qN?{>w(Q~#N=*J#Y8m%cV zFY4mFsG+sg_$j>D)?*gL>kIW>tjw(7w5pN!C%_W}TZAA(=kB6a#EQSSWP_UWTm{=_ zV>JQfx4zB>ceHi?;*{y;R@B&kx1?i?4JsRn-OsJtD~11$qakpqj%Fl~CuO@^YIF}T z7JIyY0!e&pDXnYi6fbyO0{6R%E_53{>&VJnXk?6vyc7ea)WP}oK;xs$3E*ednP=6N zQ*{~o_@wcobQ}B6)r%{#PfPVCzV2V@Z+TRm*9|N)?*9V6E&^gzng>rBYTWU#MS@|^ z=&+4%sW9(UxuH-y{B#V@zQ@i-tLpYH8+7e_yBg|;_CTcL0IzR=6KB9a7Sv*m(Q-}E zasr|p``R2%PkGa~cxk>+Gvw0MTW;c3KxF_?atL3zW7UOi)K8~zZ4V5 zwb(Emrs_mGkinc-n0FlRQ2L4HSCIPp8dF04pnks1|G1IJ-zM{@3&k0s+2O?p4VL8K z@!k~3P}4W?+gw}zaa(EPXJDNR%yTj6S7nC4Xa}8wefnkIfwRRn{Zj_?tFwjKTS+Z& z35}%K?pw*#?-`e1v<-o4Uq<-YW?LQ2>1^<2*-%X}*N=1pEYW25*%56JOSFV?0z`*% zu()d^mRvNK3Y04f@JmmA)_Ew_p5YQt=DScm^-J}-4{YPJs4 zZnfCYnI#5(=X+=!UnkT^n{g9eC$vfNL}z;V0xOuAj!F!jDQT2q<8aMOI!pV`8*84% ztih+2eYL}Gl3Jvgbif?;D09gSmz^4?@|>0~-~Uk6uE}7To>0tYsS6=kUb_prA4i6g z@w_@*(J^4C5WqzA7AyY+L8zU4yQacl9qs@L?IHo2z4wQ!So7I#XNJwAWVz5KN#_M= zr@75B%|HmAUT?8)VE0<%54#oOPT9+LLyan=k9um(>$WYmM=qU<_a>$^a_>iPxrpvE zNS{aH-5Ce^+O&c}iwnfKd=6!H0iCAaD~+;PI@S&(W4Z-m@nuhSALe6?t>%Eft~VA^ z&B#!W+$+*fr<_H0+2gF2cq!#|NqBDjo~GVwjhl0w-44oIwl~Yozy<-K@^0~2WP7ye zZ?~P6n_(a66Ef@4mZ!-cKs5TE;8@J#{WRFRNQ2@T&~63tfZPQH8E&FKo$Hu<3sfNr z&Q=M7nfabv&5Zh`;roSo2cK69(Mq4tVo*2p%7|gpO9!82uY08hteZj69hRT9W`mGn z#TvUKyHyNyop)g5g4L}ip0G%y`Xh*F9C&ONElk(0N$~Z}a;LE3nPrn~AD6vP#&}?S zxqe9LercWDESJ3wHSJGb*Q6G!1?h6L|6Lwxx2EwA+Q{jn>l=`U6@g^qn`NY*1~R8_^$p=uk+Z$G2C=0Z=y-1seLnOdiefcuj{&^y+&(Yz3RL|Oste|?W2J8 znzQqg#2_~3W1Ply$Xg+6&Wzao^12r4-vVwQzopi`TvXOdx2aC=5E!ywD9uP@F0wjb z82?Z~o?1M(2?A)(%3V;&E~1>JhwCc1EFxQ>Gn-ma(o#1^aZPi|HXLViHyy*8k6~&U zd)+ahkkY)w5F{TYp$G|zaoSlx=Sqj<3$mTAX#WRl`#Ss1fog$t{IJS*ua$r~Bc=8} z1Ko87&r)YDw(#S_!SVunRp-=kTc}q>#yvCAZKl(K&oYiqpe?bTmZ=3=IF{#;j#|mG`9_p6ip&Rf!f%0BHG(Q{pPl$aNlfzje-yF@mt|F_A zs79o;@yhe;TC9FYUERyKIJm!}(EMKL{>iQI7)K0CPrzeV|BT9;pj~rRioV_xb+|TO zpmBdx%NQzFRtgiQwpUi~*+r^xr)jw+>kMnuql+@YLc)Z5Yv8AyyB&MvL zv(X!&D-^^!1v%JXdI<)CEjKto7gWc08hJ+^W@W8W!{T%tpsb)yG|LQ*!{Uq%o9uG# zAt>5^enNyf4*ALlyLNyP`$YB5Bh($@PMJ$$mj)@l^5Qz1ICnff0hWsFV=aNkzr~cF zY!e$hj|zXnSl+6Sdj{%6>dqQ1wo8ebI4=hM%9T0tqP(ljxZ^vfUOt0;b+HMfOpk_= z@Pl}vlmDh}-tVRBvGX6I#254DK(Zb?ZTWIqUdJkslE2NDg`<0Z$xpxgsQ)A|1jR3U zWg9X_>z;jfTwNfk`{Q#SueEwJOSqU>w3uzFoaO8WlBx5(-I8s#-x{Y^aY=a-s@iTx zSMPb;Q5yTs^f_dx*mDhR@f3ow8)tzCxq~Y6TUUV{@3I6QI&`|l+*HmK3pR(A`x78a zIX}ZgEV6swrf1m5Q?<~VmzqVJP+?{0jKdDB$j2oU`F=W*tgXA$n_=m>c&|=vBuH!u z#CKV8cAebkh0{|#PiZWG?nQ*;WfAX6tRvsoGD7?#9DH zn0;-ek*`(S?#WMSJapew;6{s9xf00ew;cJzmmA*qr!wQ&X5oHwN_%gAO#j=YsMDdS z(k3d%cW?7H{)YvZrn2C#A(%?_YKt~U8EjPP*L8+HhuA*0 zaZvlXjDn})*keiOI0miN-Ko{xC7alc#9w~WG8dsS8|R^%4(zoQyyZfl8Jp8wvaD4; zu)sV%r#r05k){;a9bTEhJ|hLVH6v8n!Y;W-X#`#8YvV26!+wS8*Cs2s`RWXTjukVm zbTi}Gp^lW4>Na6~WPl2`w&21S%56I;-7kzA`?=}*BIX;uBE))a67AP9X2kShYg%~Q z*Z`%&_i?_m=oc-tp93K4*^tX-YOGsjm%z?1YU7Gv1`=3@wHGGd8;zs! z@>$hL3AVtH70_6gwV2q6{sqau6_gTg3EDkkvt690$6>qYR9~74t<) z$q|KS=L|Ah#@JfUy!7ot7R1hLjpj143rPp%80i@ZzS~c-bHCqe`ZXotrMFw!XWZwN z)r5xB7^3{pq;+MWQ{`{48?yXQ;y1y#GgAaSHl;sqVmdBzRM~&uY$A=tiw#vnht@ph zp_w2PKzim-oRg`~Hn?bAjd#``CmE~`3o{~39+l2yHtla=3yO8w#mk$n3yQ(aR`5t( zn-$23L9@B<48!VZF><>$UP|AHoHS%tqr6jb-uRE>0;iM4zki(=@~@-GquNE#YDVdJEfpqfBY`DYXoOTuPMB&7I&R) zwpeuYtS0o{*V%&m$^|bcpGI{i5TGSku#QhZgiS$WC=_TQBf(Q6XaRTU&~s61DF z8ZA@Y-)j1zRI!v=Z`=bhK%kZoglIY4WE=^Ee!a`j`RMJ-ESCnF$$G~OF{s}k6X|wM z`2!_Q82v|Z)<5+!W`-hrd7!!XSJCi=U~+Tkuk#MCWObHi7xyc})5;YL>=RO2^Gq%F zZeA-j{U;suVSv8w7&g=KfWkqL>N&HT(zk=x;lqxBO!g}Rylqx14Q4*))Thu1x8*Rs z={IVi=%VBOVoNq^suLtdN=FkInOqpJFO!TZQyULxkDqt5xP5DJoRKo0;&LOU@@&R* zJAQml&32NG)pfkjEVKq85xjjxNj(uYE)iWhZ7~zd?0a~}`?Q|{ZLWD+dJ>qT4r^#G z2Fxt3t8G%O99Oua)R;P*IcB^zz{>egP9hT&wm0i}s|9+()_p#v+H=@F`H#^uU`C~gpAUDPbf@K?Q6#)S3^D1tcZHNiGZ0<$+t)9zG z$VIWT%JUMT5a_8+{5>PX!L{1B*Y$oo%~M){)xsvO)Ajz_KDC~Fzn8fyC4{B-xvQ(_ z-Ifn!4JzJCTfDmb_44k#^*)z{=@5-EPSq_c&(G~bC;Rz7EZuTnObTC?!$Z-zy(A=! z(;CWi);RWD`w(t6D+1>2*^K;vkZuOWacZrQzx#*O4&#GulChjMtb_YZf0sn6=$|bA zETM)(<^L-F5Bgif_jo=Fhb70X*T)J*mc*SlJ)`J8L;GbZE3UopeJBkE4VlxQe40MJ!0d#3mH=|(@>eVu<|rZ74*P8W4xw>yuj|> zpM8Rb{2pK~W_8OeYqbA2w-y3}tts*|dI`5uy!)DI74uZUb`)DIQ2Zw5?ZiG~%v-7C znl-X(8W69L6-X0et>u)Qbbz<$yf_q^d7S^V+6J}KMk03(=AGD23NuD(|2W)I#rg`X zv}(!NQnlf4<))3a#GW__m(B6hDd00LsSdrDqE;4fb$t2%>LIg7lNO805HN?a#RRUX z3C(Jqo&B16}9W$thRa>I^Y&1{3(6 z6sC7bi3On2r{6M7oqZ+y1r|=&lTJDB=wBiE@^@I_Er$E%2YWL`3R3L(I(RsWSyxFq5YuBtLcb>S;}Y6y`t$A_&C!qppPPh`UsQ6X450Lom!i zczhZa+5e@^M7JL2%HWF8W57OWIaMu}`O1q&C+OfU&Ls>QwHV#kk2_$?bB<=&S?__F z&Vx`MVi~Q02hOp{(oVSB{@$fA{}hgWl2-4COGie(%D17JMXOq>Q6$f&AdKp#{;z(n zEgU*k&RshL*J^_AOq~8vanebBS7>a0O}qUem2T;asHP9*KZ<2UPY2_m~$Sb z%`Z8l_ZX2+ubh2@FcKYht29MRTbVUjxq40B!nU%GLJ8gd8zQq931dXYE3s(P^|Py$(`K?HvCh96z24$#RZtVtB)wxN439#%dYkcHO04B_|2 zyf;~EEvw2ktjv!=&>})u6NM8TqoaK12<&i?b78oA7MEqRT*D(~;JzS5!MXF0*Uq5|wKj6Jt$}zV{@s zOKj;Ru)+Pq275#cqITWD;j!n&A+6ipL?Un;oBGSKRYz~l zE3tu^NM2T#x9!q{=|eM1uc~-$G|ZeAI+^M#<4`%f_{U7|4eYp_a2FhS9u2PHdx*Qb zUWZ+DK4$lAvI)KIUdeSzf(22HU!@urwf``*c?m)!B}vZe87#|aWMncs2IN)AeZF#5U$@Vmz|#p$xx9mk0~0*rDJ?i16c#^FX(!MYev3fQ5o_9Zn?Djb+>FX z1Z(Ss4G7MGxjv}jIl6{Ax*ZK5?fs}GX#dJp0IkVZGOTc{PqjvdxcvAW>pp-M9yCbJ z(%^4~8xpPAe6c;hhbi2eHLN~oBJ~&5gbyM= z9J~tt7h$(jL`TuR|ARL()WNg=0j;LGgb%}+V81y~pz+Nmvx6b`!GgoWdhplaDL(9( zAby%kW4c%7>xmU!)r1n&MVBYe;-mcCXf=cqX2oG+xc3iCIjyk{eLtz_l~7mr#PKx} zG~F!ZS7JwYU|Y1ZRe^>8PRGGff%y2$q1NLKs=f&ao=nUO3#a+QhG}7E_kFsoZ8(Ao z=rBFwmK&o+VRpf%wjQi4*bz+K($LVQGsoI0rATRZy@wx{JSwL+YeFz&Kr!wy0ZOP= zE#jLjP01t}2V{;ijkQfjG^vDO^y!#Y;W`uODrd7hRW#hnaeUwz)pLn)`U_ z{=C(!5(%z;gQGgIz?8e$d_-|(9V)H$#fOq^0Bt;?HVjf|A9INvh{}?9fqp7j_R&$? z_)f|h&!*>`^UTKWAi{3(P~_9AD-gT0`>%@IBWcXECtht>i#)%$7kGSa%Fdx2%m>7Vnc0&qYa6FCC)sfA1;4XK|0tq6%u+5C z^v;-PoX5Xo3yUkIsV-2n5>ux&2WvOO0tyh}ib4(~InWyLk0I~9^?WT`pHoz7g*{K= zx~3fSIW33Xp?EVfhMiBEQ6Jx5-JihUd31sO!J0@=t1Tj|p(&GPne{0=bG(;h;78BE zV#uh#6IxJP%!o>!oazWFN8->1{#>2vLY)A)`FutL$hwtbC%F(K;noE2ljIegD#pJY z*LW$7F^K)6q;MPpyYIAM;fo}HWw+yru(S6k;sf++1B^Qp5q!6`trQ%)Hj(e56+O#( z!>*qf{@^zFb97W3o5yv<5${1I@Ju$5gP&To)E{-sUkOGd%(Mb3G`R^el>!wA67Jn%P3l=&(Z zkf##~ssT-Eb8_=dhvovL5m?ZL_ADnWg_T_To6t-5r89H1l_0{@jW!dv5X;m53+DQQ z=!OEA$)}8=nCg?I*P>JXZbi)C^S7Ofsq~qc-;65qWk~fop1}^L3c<~Yol041PFl>G zz7|w|83<=R&iUR`RK(71r9uG(%1li865PQMc}ySNis$ym7%!T7vrX;-mzruIOZCbi zaS)DA73>+1jO*5BfWp{o4x)OH3o&qMaZ^;emyC z7g;7qD+~v5MUezH5dd1hun=&9CF|ItQa)zwtz@q!6MTQAqp9_} zUmd^*k^3diutB}MODKrsIoqNyroFWS904nW)HBQIjyyWwMOr@tU2qMzO`cre0;h8P z0Jr-hW?1CrrW1}k?0O-D<`;tA{!3L$1Y(rotvDj*4+6gve;@mWx%)>toeV4Vp~0gK zJK&4D0lGRlm^)d+-sVRJmerGj6yyt9ec0j7X^0u-LQNZ=7htNa(iBKRK?gxlb zBTy4t?i_9}yj(x6l*Oh^{9`>x*g+J)60rk)}P|ph|^wNmd6d&;*nV*PHF>5>-;Vh8Ycvw`tk2+QOg=6Iv z;hYDiRj10!E71iIoi!DgLD<@I)Px!Cf(UjZ21GZA@BleVJ_p{l&6r?7!U^9Q-Vttw z5Uo-Vx^;&}aMo(R+mQU|VA={?lc#`uar0~bup?aUDzD`#--bd{>Gj43Q4rJd5z`J= zn7plTw8vagcQ0MsXD}5mLrl1-t3?xczVi(<)!OiIUhG5Iej{!X5I9VtIk6%5a4C6! zGQnT>ft$K$YS=q`r6kQGWicn~v`z}hWb=Im81?5;P6QiAHvyp64jT#KVUFR)^s zT3oRJkZWv7BLlH;Rs++jhE_V?I>~Q;dtm+8iJh5Yj0?2Wn1`zh7)n!fPVDUmFntep zy$T#Zm)xRFb~L7Ua8of~beJx6VdA8VHms7 zk?TOg2TJ^KoO@cPz{SNE>LHTJZc{jZN793U@P^ic2Ye7PWf2MZ=*iYkfu9Y*g6eE_ zV+|OQ(8n-{e}UOMpY8N$oXTl8hSj@>P8U7n_TmirM5zh(`c#KS>l^f#<)g2Q2h(fLpz2a}zsoH*n_(bqpZFQjv0Pe zTsw(>aJmh`BUVk(^{Mb{Rhz%p zwc#OmhxGFAHue%blBX z`&+nZ>D6DX;WOJyZUrzC(gm2tUS=u(l}O~Y>*ezvI{#k9a&^|1HLDZGGK0ZEAHdX> zRZr{_LzktF{NW^tP3edbor|0k(OOy&k1UyO7enXO?jxM~K6I&80o36hhW8vMynFV+ z)$QMw??342Gs_j>PQH?8TrtiS{Bz8R1AuewHT2NV-Ay{4qC`51e}*v|Q#kd=h6}Kd zZTOAi)N8mpKG;&}K?*x|j4ML*n1Tw})@&}pyK%+e&l_S$qx@q3+yz0p+b=XlDz1z( z-&8))#ZL$%9{$~9c_}&%W&9=M!$X71lGqZmqkA}mHa<~(?OX&`mm#>)unaRM3(TR% zb1XNyEW;)ySn#b;m&w%T4l+$xR#p*6+drj)lZ?tyNy7}LJ8tp;DBEyGZ$??V;RJ{$u^o!#{Zf*V&F8g0GCRnXD#WtuAmkiQ zk!c*GyiF{LAD$iBi_0;hN)w5eBf3t6`d!Dr=Ie<#b2D(G+!`>#(C_t&a7ZVM}r3qYj>a2fhBQxgRim%b6a^hr}>v-L7DoA zL`LF+g;nGuFuafJ3p~QVH>giGP>wosDKXSs9kQfM zTXC*|4#w-Dwf?FqGeKBUT{CjE!jTw&bk?)Vd}r%ci)g|S-0h|KsFK4kny6ep0?X>k zw?9a&it`+aVV?4V66_;L2$Gp*M!ZS+6c&iduB7te9~BX>I$|u@aUXm4OljsykqB#HO;{VR6p)JulMW`4dCdr zC7gs`A&gn7NANYBJ;5a|<61%QX~EG#Tkr>?{6Enrmcaf*+w*`8$wV)}wT}7$-R?(O z1yX`@K1GUZT<1y5b4tTQZX%l$gMphKFicHE^NJJ}uamcjT~s%mNV`j8Ow+PSL4PEk zg4m&mnS3eJS(&I2U}zJm#oi}^I`>H=#N^v9Iojb|$Cr4A=B+E~&cNP&Z)h}kDWBsD z%>Ilo^#cAKJ&9MeCIbxsl1aVNW@F699xFU>3|a$qWCu?G4wV7|s=^-Rc>Te(o)3mC zKw|BBuikxvy)`m}90Fkf>@WWxHFCRnf_Gyexys^8-Gdu|#75Q?a4$4L0kKGyKLG&6 zw>lSfVqYOV9K8DtmMHL<6&85YL?kPishwiMez_UMW2es%@&~m4SSPAly!|5!Ug!zk z?UDhAxSI9627dF@shfAI7FtFd8VjcRxbyc0W4V3mm~l53q%iBNRP22`!<_K`Akzmg zk1}u+Miq-gymAFq$K#y5gOu^Nu{^8Oyt>e_!i)^&&Bm}w%U9CW%p(1p{V~ggK;CXq zVl>B5%Enrf21gVH_A|?mabl#D?#DIf#v^IT%?&egO@LVuW*DpA@8${L z(WTf|QXpKt`8it#|9>HdiM}&VbS~HZsTIyY3`be(DS3g4gX}VT%8P7UYH?Z0=Rq#i z&*>DVxwrNIg0Nu-{yzYk#RmpHZ^`T-L6|rMGu)Z(Lj+s;^J3U zHS1i9GT_dN=4gIJJ0GP0_kW17y38%$kGgwb5Wh`pjY`mb#-4C=#l-s8|| zf@i>u%RhWxz*X#&x#J@5_(ql|JHL4N))F}2@Na;vTzN(Rtg82)jVs2SS7o>N=$pyMV z1lRA2rkT2^nK^Lak$|`?f!{*%a(mFg);l`|G9N_9n`%1JN9ra!M!CKZi)4V3gcJ3-1DF zpMV=KA3*cLKDpp3qp~XAwKR#t`t?A1svr*w!ks+vuu$|5o5A39)N?r!Txb5OP+T|x zWdJ=N>W^7}5KZMaW^*L%D{eV^GS?R7eoaqf4F2ZS$Y!_uPv%YvYP|UV?py*PJ<(UB z~#gV)yKt&AoxyhCv=7M89zv`uU@_%qd=|pF$2k^xIb;zI3SA zdkkxVP-06%ac)oRDTUS-i#I=Rm^OxS}rs;RlGqWsqZF~EK^xnjcv#)DkB{Uc(%Ej%a7Nj zCPrGnAc9xh9E1T{UPg8B&*zZD*pv40kH!AymiA>i{Nz0Wn$}EVp)L@I4B!J^p zcPM-RjTfPP@Uph)72gku6$1L119D$qv z>-XF;C)~@>a?XR4PR2Qw4}_n64%*0ne1be^F!Zc8;pN!8Sd+K&QSxu)?>2wUtfY^a z#0!W$5BAXH52Idmjom}AdG`MKKxNNKw?+q)BY}I6`}6x6Ip?6f`q7iN1+UFxKX}*g z0SCs!0=ZU<2OqXDZh>|Z*ehxDAH^Us;$jjZTo3JV7z$kfbT3rNT>(d)2_qH@_@wF3 z%`Di*iH{Z6%IZ>kY>eq>*3!G9rkPn`vR3TJ)5g*vNAv2SIcDN^yA=rd=mHJ+sU>F@Y@pn!pxfZQH$ zKz#@Nc!^r)vf%jB9Lo)!5ETn_P;vq|4F!!}MaSyw*H z9?Oo<)!3sMJZnEqIG z9wOx)9~${|->~ynj(F3s&8R$SOJXUlKg}exV zD!Bf)?=DCb!vo^7JD&5p8w%|c&FUr<9os|g1kM0d(lsP8wMyl zdKA@TJNf1C6s&5cF!rJ;QO#c__bR70wR`)5feBYM!~HbF4?&hrVw{#Io|}TA-3(XN z4#qw_f3gDv?KwVVMv4wb zzhJd7+r?$2f0l(TU| z(1zYo~n_i8i+14HzZFt`V-G;j}0dECj34p!pi$Hjfgz zQF2{s3r|l_@3f$tn4B)|mv&+~nL8n~%651Fy50QbOxIh9djm3Pt7~n{H06FbDWcY5 z1{3^&?$CfuML|t8*fX&rNvCL!o$1&2y`hvP;|bnyf@_oOyqClma$*|k9qU2?Oc(7K z=`+Etxn+VQbK0eLi(l3W{NRE+{1$J-P$+f~zejsn^;1MT|3V^*`2pOkbm;vc_iE`;I|6_?PGcyBJ1u#t4!#hF)9)`vp!N) zH8pP%=}^U2#)R@vnE>7?y&Lsv_Grhi=pmJlTm*dmuTOa4JEn!+BP!pjU z2#ijy{A`qF-cy!j&ZN4ao64xC@!RH4$S^Si$>An3FJ95Va`(siPjaL8FiZI}i^Mt@ zW^>I^2AE^=f9DCr@_S#~4y+{4Z)cm6;kv&S@5Lx{etI1S0CF{M2I>I<^-6BgFxAZ{ zImLn==q%sGg0eoPb4jJkJDUczjhP%t9684wib&rAP6v0m7pV(QFe!HMEH5KDZht}{&!dA@2CPMN{*)O85ryF zL_ZXncb<0OLe~MHR7CpE4172;D&99Lbm3KcH#x6^8^&d3I?=!fXs9G@$R(YPC!LM? z54$3pG1H^)?l1VaXaN|=l7Um2wS{;mrbv7@PCA#x!cssh4~zg2%IY5G6w107(t}rF z&D9^A&Nb(fSBxVNxGExt3h3B&36H^EiEU)R=kcMIMYAEd~q>obbC z!gR0)^%gG@=Fp?&p z*CzMj{5H6xl5rwk*!sM(tzjRy#uPQ6*=JxbW0*o3%nV4^_}9<@$drGnvqW}Mm9g_X z!veMA>r92@-=ZynSF9TvJ{`Kd0$V*tXGWondzLc84r-(CvlJSb+{Ic(9^m!l)*L@WpvR7yl@$MhPuUM}nj` z+H%QAZMg@*DLf(=N-`*%7$=(fGZ7Y-Wmq}0;ou-}v8=7@^8Vm_kXyqfR;L=!Nr*}J zE$}7;SiA%`)(hk1_8`UCmbnVh750$8;+@9hbqgA*MvFy<8@~5=Lq)Rzl_=W!>EKX` zN7NS(s1U)X{T~Q9i4Vhaej4@5Z_Bc!SPzdjk+yB^sd_||_OI#@K@=;|$WMX|tCcZF zL%;9^u_=G&L;FgFOk0{pB-upV$#&;zM_|0Z>sjOIv6imfAwt{M9f}ROwFXtZxziWA zBdCr1*hi_4f;q*QZV*d)w-t{pdvr!*y1)IsRTg35N;Z7Vey^%FAx4rpHj`#bO1^o9 zv4e1UZG+fjwmPmf7VI5HUlRKw2zmK%goc)gr&=hTH%Io{nk-sZ(pVk;y2+{H8t6l; z&)a>?JTTHh6uze66KqE8zA(TM8CpArJ(2v2O--aJmeVrqf7ZD0?)U}QF!~VY-opUz@2}4zHo>*zj_#iR3zim4*6;WA(QVsm{lbM zLN3oPp@QRESZ}UQmkf<0c-*M_LNQT=`-V-=r~CQ^Co{gkILGJ<9&W+NxHKT4vk?(Y zqsWv0x=Vb*M-j#Gb=@o$?}?*!_U39;05s;t2kzOu zC8F<8N4nKd4)5*pjyUQJU|iFXApz}kaxG=8_O+Gkr7;D~1_5E1`q=krq!aPIy=;v# zhV{7Y_fhB*73>E<-NK)Q7q85p*uDPLe;=w-siUlmXq1BK{bGbj@2Ca2U8)6<{9yhe z;}=|v&<126$44R!|0CfPvaDKba5Od(Nm%m=0H&6EkNT&S(+>9;k1KTn-BP&qaZCe1 za%L!Zp`#2CaIG$*R$~h~=Z#~MNbc3td625-Fa_*X$~o;a{Ys}zUGZ1Ast(aS2p;AU zjuO}qlL=0l*nx(zG|!lEx1!~dtp$9TX)}yregi`T%~RsTky&)(C_#?3{tcPjqkv)n zc@1uZXXtBsIk9p=!2Nn%$<_c7geG4Bu3n!2pim!)GPF}AF>U9GZm`t(j)<kGc>3rbBtP^BzqKY1aJgXwj*x_nL?$yUl}B&d4SE>VO*mj?1Us50 z{!}R08--CSAX?t5ZhTu5toVFvKS=Z(jqc)-<>euR&$?Q0$8g^j0iEJBK#>DcYK|7sSGCZ5LPg>&(p~AM=E} z-F?dXl{e^u)YPsS`R?`LrpFse@Y&3QhuHRpmIwYgpoLmz6O1t;C@^dWM)hMC!X+IKQs88hsIK|teQ`y4$w?Rs72fr~ zm`gjN-E4%6ML?Q2^;j$S<;(4T4`rHN_`|)-hRvc!gRb+o7nhELO(Mz@2*|~rtW!2? z-oF6ZS>AOBy8;LCLdS|eq8|3}pR;lu>TbcUvUS-V_<15&cD*}EJBD)AR=*F=ZtOK# zT>Ah$y}pZx%F+Ex9Q-P8bdSRDvZsQ@CBEp5PaAkg?uW=TwmrtVQHeZY5Qb&{YBTw* z2=QG2gCaoP%eC9B;-*Pkmy^@mu;u)Bwr9U}o>9xQQr+lRVeVDTW@?{xA((@?V4OD% zrhP?Zk=lXo+bnf0Bv6If{J_B)3U?8-#9K2&)%n>S{{7`;k*dmoK^~$OVSL-q9sm!X ze}brX$Wt+^1XMBXx@%VR1H_e)OcXm4^RSfnzJ=SYK|8}9N3Yxw9NOl>1oR?jx{ay_ zV)JbZuII|SDylTk45rQJMp?51N6ix@tI|G;s+`*2%sQBI7T=HqJZcldFD?1RtmYo& z6ak5U<%KyOt@RyO`i@VRk;@-d6yhqF0ZWb?%Hn-9qX9t2+h6acOKV)8UxZ&?J>Oy764MqC`=py>Ck zeVTcez&w8i4q7DA4d8%3Pcgye>Jdx@^Mmk*kp`l3Yz4$Y*G|v{Dap=+2uG5}?ioi= zN1QwGNA^?NcSFrxb3^80ss4uFh`PFu)&s{Klp`s-uu!)p639%)ghpPUQ-30(4aDsUpDEdo;YF8jCPHDx8h$u8etD#2 z{z!|1obNFhB1BqEekb*iu1_SUZw`N8BjApF z?V-t%H=gQ>xp{4*4U1SER4VMM-zpvs`m{UxJ%|AKBP!5i^#M&js0F-Z=GYq=rw_xi zuhe-P$-OOtx)Eo_u~}-0p}Q%jZFO07AIRnJp0u$Ci$fNTKtqJ;T?Fko-c){5XlsE; zF=**doMZOsigbs~MP~#z@7Z7-<0M8wG2Z7yEa*JY^`N5-1KFtuB0sKm`S?J%ScT^( zKA9`*f*z4`>#_OJQ=w|KYvLY&w{7bFEp@qU4EY=to%Yr*>zc0S^N$kfJKCOr5n+yt z??)803;E8QCx=osG*HL)Uwrm$6@Bbb7_V?i^{F4EeNN7~OWPZc{|5X=D!EHrkW-HbV@|yX6w-C zw~|tS%Qbu?^o!V%`EP?9;2QEA#N$r^zud(*k9v=8z(0F#{lC{2KYSni=r>oMqQt-c z`IYn4ZxP*F@`^|w;fzr91Aip)=sI9|pS1P>AgO5~{n^3oh9b0!>>$lB>qJrB*Z+uN zy@^r=a#Rez1FM4c9hm-~maaT32_)=qTh^A9m70|Y?N*vu(&3Q@`0cuCX=-J8L`rF< zW=cjVD#*5`ZCbi{rlgdnX5OLT37H3Zk{76`sHCWf2nccreD3#rf6QO=9y7mpo_FSX zX6EABlH^}QX_8$w!?-+Q_$ciPc`@+sflz*AH z@+~F%##0f^dDy7&QRUx}Z>k?%57??-hAG%_cZ>Q#Q=OZ`?~;x@QU^AR;~Sr!eI0cz z0TH&tytO^lZd!*^y{+k*reB|@@5S}pegp$r?Gx0Q)_2#mQDFNh!P#8fFEO~`T8GAb zz!O^OW!|ABBYWhs)w{F(ul>F~{}*>mGt`VcZBP-nFVQzpqyA;`St=-S#{X#Pr?MOS zZ{9R{vcmQKlluY>@Y+kQGlpvW)|Q$!<{wQjKK27?+T8R@DDfU92U(G4U2w?Rus@>o zp99@KKX(+_w-?zj9{2yN6j1JJoe*K(vF}3JjfjvV@og`A9+Z3}oF9(a-J!hq>4@)* z!miLP?b0`~IvRo)5*ReU{F|7OMf zS7trYYyXguscdU!ky`R%wRhZ=+r!A!qh~*``d*&UnfbK$>ls7SM9&(--1?|ngTPo(D6KJtTl^GUAF zFBeyJv?U!{1ngsb^To5~i&vFnJKPVp-!WnhjiZo3tGzBdtn=l zR67-y0#&V5*(pR+JB+kVrMzC&hoXd690tuNrXl=b%5#ABmJDNPC`yU80jo&t=RArs zt{+S%7NW!zuiVKZDoG>?OGfe$(Oj20HAl6xjP3G#NL93qX0vsmnHK3(1SW?$VdNE) z56{_!d(^USgfvUWm9oKU`}os=F=MhAOX-{wH^8HR`pIdh(Njc+2Gd!nPyJ#Vq$KMn@gMKDT=Xle z-3?N=(LNl1cT=E^Yag~Wmcgnm=6Yf$V=Cc{Bf19{623Uz`RR~GOV4?Zxc*>D@PSo8NVi;@qkz_y#*A-18e8hqg4nlPANmL{R0_;N5JJIijkspof-oHP>lA{ouq4w zn7S^v7h_5STE?ZEqHceiJU?U*fD#0*QI|AXc-RH7`c8%KokkQWg@ylSmLibS`7h2; zUgOY^6smt0QfG0RBlEecTZER0P8{#63J8fT^OE;s=5?at+q#j@7@G~3X)ma-pQJW&3;c=YK}SS>3Z$SQm;IrD58*b@Y$X}H-b z6b3PlwN%nZGh$XqdqK3wKQ>sw=al`-r^m>7ZRET{noR%V zc)DI>GwTp+X>ciOTCz80O|n-{%GKK`mRKj{)W&$e5@ZE{J!6M_HyBnQeMo74pO$56 z4Tq4^e(Sc>-74R8eVC{v^qIk0)WC|7Bw|PkJ2q(^X}v4%>wXF`cWeC7>$R3zTqFb9 zGgQOYOp!#UC_xtm46Dwl@2qIv0?g`x)b5C;nG?q1NpKRMt96&@m#)YB)VX9LY*HzQ zpd}O8DuKIdgQ{ACVkA|nHL8kwPs-Q?h)^7C!p}45sO$fQyJO5m{qwv6?%3=$)%(J4 zk|#pt2>G=^#ao4~u%`-uT6a3?H($=2F-Bp$9f2lQiQ>))hQKk@gj_fZ(2isvh!a zJWkpbJNNU%24dk#m^8F7ddx|!5$Dv)aHCdvs5Q6;Jh6k_4d&F)tl3^=C*oZJVJ*Y{D)Urxkz{7<><<+PTRp|Oei;@ z@e#v!qhKeq4R7(#*K9G0pX|Eukgf$sX1g~fLv6G6u23xm~&m(VLU zgpAgkEtY&2&g$fF(M*prd=>!mY<6$?{`$_Qr-%MX(A9)&ot2Vb67~Ou)j}9P(^>-8 zjoF8&D2Kyt*&EDu;PFQp!LMo)qg2dxyCVdFHl%1~hTq-tCOptbr{4R$aOpqmyPJiC zuO@qShW~9pHATHPy*)$iaOY@0@5RX!7^waQ=D0CR`tZGFU8nD+?WdMC!&{k3v?h7m z2}&rArnkp*KY3GzpQO{4nF13vy?~mXYhH^EOMVvH1DnmJ%_Og>>qYoobxL(@gIuR2 zx*(1FT{rwSNh1+qXZ}96If5Q<)b#J`X{!fXV|2)Cd0*NjYJTS%<$Gm2^?$!zn8E5& zT;J|##Q#Z_TiO;O!EQ!~)E5%g`}Bg~ztLaJuZ4!HU9`ezl98tYWZ>H8C~`7%JCM?r z8w%9ala{NQpCcWs|H627@ZPBPnruNEz5TXgaxeroq8&q7xD|~+{u(va0UUYXbE5xtdyzHQ)DN77@usyjLK28mytx}J z&OY$z9B3X2(Eym9il2+5W9`TN;-LJR>~~&hnO~xBPhYAF{&~;tf1xe~ThV9i2CEune5P{bl~>1Gwa~Rq$weMql^XjiLExZS%vF`9FL8xydw5=2%3v)w!D6#-vRKh8cLw^w6)U$Zb$dyz7(!_X?`Qx@z)!88~1hN*P(S+bii& z|1afdeAz(|sy;>$F?Wz|@CBn3JO__#2w+gC`H==3Ha= zIpujALH@7@7*=$;q>g=I?fi)3JT1N^8z`(1_kP<1Bol#Kz$n*%WCa5kC*wTG-`s1U z$sx)+vaT$Q)ZauU69j@!<33dasJU@D8f5k#LV(J9Nr6@_Qz&|mWm8A;`?hR1j4s?GK>dcfKG1NpC8UV*rXzb56Igvj}w5ZCN0P%BRAGnm*B zbR+L?jX`F5zC0^ZCVx1{=VaGa)5|faDw9uwYWJZ>FUkVAc z`gS${>L|W9Ks9YOlOrk9(TO3S;NE2;ur%cLdY&!Dw&$&Uhx>Wze$vf-aSttH&sK$A zqfCLMO`qX9tYkYE20;R^#haKtXrcQCYfK>&LknJ0Wx>!3yo2t8GGo;?Zg)85l@7g^ ztuHKVMy?qJmTc!%8*Lrf1>xwp?_w)kReP4qpS2j`dXR9vRTs09**>` z)g3bozEJdPZFk+pqC1PC-Jfj%zNFu@=I9RDG+f3R3jNszBG%CgT>IXjWPXSlx&ukx zx&G=2BNcm!Hi0xoNf zNeWZeE*4AvK@A>EMy`qFgX@c(q2D2?3MjGAlp3wuZxmOA!bga%DRn!U>3NXyAY3r? zR}fM0xB7d70WmQD0|DeuV{h+`_G2wxTaE5ACx8q8s+gNkw}3c(TW2){y{vX?{DJRv ziMba&XiQT)oOfT^&t^Q!9}XZdihNQTei0bbs(d&S<2uBM;7;BbSbk;Oe9K=Rw)v7k zw$<6oPF#~ilEBaADV=MUUpdaq5^W#uA?cH|-7KZytDqxBOcG(n7}zEFu;zSp0)Tok zz06}IY8vVOwYY(qwy|={=-oCs%+M{fQRXDW-yiD% zv%5O6TkpfhSr=cJNERGo`UW4Mqwgoy{)x+Tt>A`J`&BgS0sxSDMUuTRlpN2JYCA)o zAI9ZB&Knd9emo36QV+_ee&m)JWO+k4<&p)M^(J)(v# z!H{uZBd{{Yn3*S*YAqkw*rlzk`d+CPVao+Wlyk=GW9xr*2Nzd)xxelRY_Rzzw}sqenH9 zP0GddN_GLg@j?{h4YJ>%bJ4?nXH|PM94t#afI+^QoH8Il? zM_dnYMDJm6S$%GDAyO!94bupZZR5h~iBU{DIhM+w7h;)URIDvZ-u%;o*=<{tnStpc z4a$U$_^llyTQ~ux`F1Kt4FGah;iTO-shK0Lu?5rqL-PM;d#IZgG&l0tbA!(}zwZP3 zPm+a1q0SCds0MN28g@i3o0wWPkB|F5P($_FI~p5g7IT7$B|kWHkDhe zx6a2i3=p+W`T%91_+ue&mAKcTmLmF>0OBUmDAaKltI&+B%})EjBV3TSIZuBmsvf`tvS%5zgFa_0($r?GjF^P2UkaI{qYc z$98)1Lg5y7DC9Gx;ZDr=-rF0m?(^(@s6W#nwzSDDoLf}8N+ZX};<={dIrw7Ou^em! zq-iYB?f`@lM(^pNxp91O6QUaQQBI`C{5^g)xuN#w>oUDxvIc_ zR@7SlIrNny+9mA_1Y2mO4Wry2Hx0ysj`(LwzkHSjaH@`TMm~i8)|m3VGX4S~Pc#`; z`dybkhNVGuV=Dg%NPjytF1;jozP^69h($B!C5J8l${oZ~S;N zpW67=Yz`9Af2u<_f9zXClhL$a(K@}-uk1-$J!bPK*Sfhio)p@=lS%F-TGk!tN$V3A z1H$Ne`8BEe<=F?fYKS{!3j;RWyeAg>7g`9gs@h>|*(JT$jGq zX0awXq(==EGvX}&XC-CNZjMDl%L?duM|vCcQ8}n2P!ac9RA(q-HSX?W^xsJ+_y#Nf zIEOt+>&%ed7ig6jN6Fs;-_~o~;|0@FaEjhzem=Kisn@AnOUjt>-V-Guqgm$c_yY8(sqT^qGDxi<9%v0M{K{X*-l z_A`ptNrF$UMXqQE+4G`yW*M(6G2 z6H}k?D_ZiU!-2jf)>D1^`$NQ9w_Vf;y%at=K}6Jih29DQ0a1ARJ9OzlLUH-Q=9>VrXgim}k;ij_{BVskWgEw`QRN@ls-;hHYDcdsO?xUo<$) z$?)f{k4>Wr+dc5DhYMM+PKEx0xnhhn^nnZ-9Ot4`!`4>eRat0eGWhXJ#Q*d&uwCw9 z>s{0NYFoNw@V=kIJ#aOV0h0P>TI5&#J9onw++16(olZx0x?|i2?~;9;22bBbtTXW; z^yIMa%jfrGCR`#AwSM!_k5ej~Kf5ImS=SGfqsvChh%4QrT&hEje9KlUZSJ^G^xnc5tB=tAX7~)ys g-N#a}L;dCZ-d5wpe>XO%kTIFnTkGw9-TBl10-rN18UO$Q literal 0 HcmV?d00001 diff --git a/research/staged544-stationary-pairs/pairs.py b/research/staged544-stationary-pairs/pairs.py new file mode 100644 index 0000000000..fbc477f21e --- /dev/null +++ b/research/staged544-stationary-pairs/pairs.py @@ -0,0 +1,143 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Exact stationary common-frame pairs; Chris R with substantial OpenAI assistance. + +Uses credited PR3886 chronological tracing and sign certificates unchanged. +No scalar opcode, coefficient, order, native operator or interface is edited. +""" +from collections import Counter +from functools import lru_cache +from pathlib import Path +import hashlib,json,types +P=Path(__file__).resolve().parent + +def require(ok,why): + if not ok:raise ValueError(why) + +def module(name,path): + m=types.ModuleType(name);m.__file__=str(path) + exec(compile(path.read_bytes(),str(path),'exec'),m.__dict__);return m +R=module('credited_retiming',P/'vendor/retiming.py') + +def digest(x):return hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest() + +@lru_cache(None) +def frames(lo,hi): + require(R.contained(lo,hi),'empty frame interval') + require(R.rank(hi)-R.rank(lo)<=4,'declared exhaustive resource limit') + current={lo};out={lo} + for _ in range(R.rank(hi)-R.rank(lo)): + nxt=set() + for f in current: + for v in range(1,512): + if hi>>v&1 and not f>>v&1:nxt.add(R.join(f,R.span((v,)))) + out.update(nxt);current=nxt + return tuple(sorted(out)) + +def topology(word): + nodes,where,bill=R.tracing(word) + def add(a):return a[0] in ('A','B','restore') and word[a[0]][a[1]][0]=='add' + addresses=sorted({a for a,r in where if add(a)}) + pairs=sorted({(x[0],y[0]) for seq in nodes.values() for x,y in zip(seq,seq[1:]) if add(x[0]) and add(y[0])}) + return nodes,where,bill,addresses,pairs + +def model(word,nodes,where,selected): + """Delete selected frames; retain exact per-register external boundaries.""" + gates=lambda a:word[a[0]][a[1]] + bounds={a:[1,(1<<512)-1] for a in selected};tracks=[];old=Counter() + registers=set(r for a in selected for r in R.touched(gates(a))) + for r in sorted(registers): + seq=nodes[r];positions=sorted(where[(a,r)] for a in selected if r in R.touched(gates(a))) + groups=[] + for pos in positions: + if groups and pos==groups[-1][-1]+1:groups[-1].append(pos) + else:groups.append([pos]) + for group in groups: + successor=seq[group[-1]+1] + require(successor[1]!='map','map must have an explicit entry check') + before,after=seq[group[0]][2],successor[3] + aa=tuple(seq[i][0] for i in group) + for i in group:old[R.rank(seq[i][3])-R.rank(seq[i][2])]+=1 + old[R.rank(after)-R.rank(seq[group[-1]][3])]+=1 + first,last=aa[0],aa[-1] + bounds[first][0]=R.join(bounds[first][0],before);bounds[last][1]&=after + if successor[1]=='check':bounds[last][0]=R.join(bounds[last][0],after) + tracks.append((r,before,aa,after,successor[1])) + return bounds,tracks,old + +def bill_delta(tracks,old,assignment): + new=Counter() + for _,p,aa,q,kind in tracks: + chain=[p]+[assignment[a] for a in aa]+[q] + require(all(R.contained(x,y) for x,y in zip(chain,chain[1:])),'final pair containment') + if kind=='check':require(chain[-2]==q,'fixed native/cut boundary') + for x,y in zip(chain,chain[1:]):new[R.rank(y)-R.rank(x)]+=1 + delta=tuple(new[k]-old[k] if k else 0 for k in range(10)) + require(sum(k*n for k,n in enumerate(delta))==0,'rank mass drift') + return delta + +def direct_orders(tracks,old,a,b,fa,fb,olda,oldb): + # The only nonconstant relation in a coupled pair is Fa <= Fb. + first_a=R.contained(fa,oldb);first_b=R.contained(olda,fb) + for yes,assignment in ((first_a,{a:fa,b:oldb}),(first_b,{a:olda,b:fb})): + if yes:bill_delta(tracks,old,assignment) + return first_a,first_b + +def profiles(hist): + return [{'delta':list(d),'count':n,'caps':R.caps(d),'prefixes':[sum(R.caps(d)[:j]) for j in range(1,9)], + 'nonimproving':R.all_power_nonnegative(d)} for d,n in sorted(hist.items())] + +def census(word): + nodes,where,baseline,addresses,pairs=topology(word) + singles=Counter();joint=Counter();cells=Counter();counts=Counter();quotients=Counter();records=[];samples={};false=[] + for a in addresses: + bounds,tracks,old=model(word,nodes,where,(a,)) + for f in frames(*bounds[a]): + d=bill_delta(tracks,old,{a:f});singles[d]+=1 + intervals=set() + for a,b in pairs: + bounds,tracks,old=model(word,nodes,where,(a,b)) + require(any(aa==(a,b) for _,_,aa,_,_ in tracks),'uncoupled pair leaked') + la,ha=bounds[a];lb,hb=bounds[b] + ha &= hb;lb=R.join(lb,la) + require(R.contained(la,ha) and R.contained(lb,hb),'invalid propagated interval') + intervals.update(((la,ha),(lb,hb))) + quotients[(R.rank(ha)-R.rank(la),R.rank(hb)-R.rank(lb))]+=1 + olda=R.span(tuple(word[a[0]][a[1]][-1]));oldb=R.span(tuple(word[b[0]][b[1]][-1])) + dims=set();rows=[] + for fa in frames(la,ha): + for fb in frames(lb,hb): + if not R.contained(fa,fb):continue + assignment={a:fa,b:fb};delta=bill_delta(tracks,old,assignment) + joint[delta]+=1;dims.add((R.rank(fa),R.rank(fb))) + first_a,first_b=direct_orders(tracks,old,a,b,fa,fb,olda,oldb) + require(first_a or first_b,'legal final pair without direct legal intermediate') + # Recheck the entire affected boundary system for the stated intermediate. + interim={a:fa,b:oldb} if first_a else {a:olda,b:fb} + bill_delta(tracks,old,interim) + counts['first_a_legal']+=first_a;counts['first_b_legal']+=first_b + rows.append([list(R.basis(fa)),list(R.basis(fb)),list(delta),first_a,first_b]) + if fa!=olda and fb!=oldb:samples.setdefault(a[0]+'-'+b[0],[a,b,list(R.basis(fa)),list(R.basis(fb)),list(delta)]) + predicted=set() + for da in range(R.rank(la),R.rank(ha)+1): + for db in range(max(da,R.rank(lb)),R.rank(hb)+1): + cap=R.rank(R.join(la,ha&lb)) + minimum=R.rank(lb)+max(0,da-cap) + if minimum<=db:predicted.add((da,db)) + else:false.append([a,b,da,db,minimum,list(R.basis(la)),list(R.basis(ha)),list(R.basis(lb)),list(R.basis(hb))]) + require(dims==predicted,'dimension-feasibility lemma differs from exhaustive subspaces') + for da,db in dims: + row=next(x for x in rows if len(x[0])==da and len(x[1])==db) + cells[tuple(row[2])]+=1 + records.append([a,b,rows]) + require(all(R.all_power_nonnegative(d) for d in singles|joint),'non-improvement sign not certified') + total=len(addresses)*(len(addresses)-1)//2 + return {'add_addresses':len(addresses),'all_unordered_distinct_pairs':total, + 'coupled_pairs':len(pairs),'uncoupled_pairs_by_independence':total-len(pairs), + 'single_frame_assignments':sum(singles.values()),'pair_frame_assignments':sum(joint.values()), + 'pair_dimension_cells':sum(cells.values()),'sequential':dict(counts),'no_legal_intermediate':0, + 'quotient_dimensions':{str(k):v for k,v in sorted(quotients.items())}, + 'single_profiles':profiles(singles),'joint_profiles':profiles(joint),'dimension_profiles':profiles(cells), + 'false_dimension_cells':len(false),'false_dimension_examples':false[:4], + 'intervals':[[list(R.basis(lo)),list(R.basis(hi))] for lo,hi in sorted(intervals)], + 'all_assignment_stream_sha256':digest(records),'whole_word_samples':list(samples.values()), + 'baseline_profile':baseline} diff --git a/research/staged544-stationary-pairs/test_controls.py b/research/staged544-stationary-pairs/test_controls.py new file mode 100644 index 0000000000..fef22b6b65 --- /dev/null +++ b/research/staged544-stationary-pairs/test_controls.py @@ -0,0 +1,86 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Independent finite-frame controls and production-path rejection tests.""" +import itertools,json,sys +from collections import Counter +from copy import deepcopy +from pathlib import Path +sys.path.insert(0,str(Path(__file__).resolve().parent)) +import verify as V +S=V.S;R=S.R + +def need(ok,why): + if not ok:raise ValueError(why) +def rejects(f,why): + try:f() + except Exception:return + raise ValueError('accepted '+why) +def independent_span(vs): + pts={0} + for v in vs:pts|={x^v for x in tuple(pts)} + return frozenset(pts) +def independent_interval(lo,hi): + # Choose quotient representatives greedily, then enumerate every subset of + # all quotient vectors. Dimension<=3 makes this independent 2^(2^q) check tiny. + have=independent_span(lo);initial=have;reps=[] + for v in sorted(independent_span(hi)): + if v not in have:reps.append(v);have=independent_span(list(lo)+reps) + qpoints=sorted(independent_span(reps));out=set() + for bits in range(1<>i&1]);out.add(sum(1<=0 for j in range(1,9)),'nonnegative min-basis coefficients');rows+=1 + w=V.load(tag);nodes,where,bill,addresses,pairs=S.topology(w) + # Independent graph definition: the selected gates share a register and + # its chronological address list has no intervening fixed event. + found=set() + allowed=set(addresses) + for r,seq in nodes.items(): + positions={x[0]:i for i,x in enumerate(seq) if x[0] in allowed} + ordered=sorted(positions,key=positions.get) + for a,b in zip(ordered,ordered[1:]): + if positions[b]==positions[a]+1:found.add((a,b)) + need(found==set(pairs),'coupled graph') + # Source, scalar, frame and cleanup faults reach real production checks. + row=json.loads((V.P/'SOURCES.json').read_text())['snapshots'][0] + raw=(V.P/row['local']).read_bytes();rejects(lambda:V.authenticate(raw+b' ',row),'source corruption') + a,b,fa,fb,_=result['whole_word_samples'][0] + changed=deepcopy(w);changed[a[0]][a[1]][3]+=1 + need(V.scalar_projection(changed)!=V.scalar_projection(w),'scalar mutation missed') + bad=deepcopy(w);bad[a[0]][a[1]][-1]=[];rejects(lambda:C.frame_bill(bad),'illegal lowered frame') + bad=deepcopy(w);bad['cleanup']=[] + need(C.derive_cleanup(bad)!=bad['cleanup'],'cleanup mutation missed') + for lo,hi in intervals:need(independent_interval(lo,hi)==set(S.frames(R.span(lo),R.span(hi))),'independent quotient enumeration') + # A genuinely simultaneous legal pair with no legal single-edit intermediate. + # This is an abstract control, not a staged544 occurrence. + a=('A',0);b=('A',1);line1=R.span((1,));line2=R.span((2,));full=R.span((1,2)) + tracks=[(0,1,(a,b),full,'climb')];old=Counter({1:2,0:1}) + need(S.bill_delta(tracks,old,{a:line2,b:line2})==(0,)*10,'crossed-line final legal') + need(S.direct_orders(tracks,old,a,b,line2,line2,line1,line1)==(False,False),'crossed-line detector') + rejects(lambda:S.bill_delta(tracks,old,{a:line2,b:line1}),'first crossed-line intermediate') + rejects(lambda:S.bill_delta(tracks,old,{a:line1,b:line2}),'second crossed-line intermediate') + # Explicit dimension-only false positive on actual B362/B366. + w=V.load('base');nodes,where,*_=S.topology(w);a=('B',362);b=('B',366) + bounds,tracks,old=S.model(w,nodes,where,(a,b));la,ha=bounds[a];lb,hb=bounds[b];ha&=hb;lb=R.join(lb,la) + need(R.rank(la)<=4<=R.rank(ha) and R.rank(lb)<=4<=R.rank(hb),'naive 4,4 admission') + candidates=[(fa,fb) for fa in S.frames(la,ha) for fb in S.frames(lb,hb) if R.rank(fa)==4 and R.rank(fb)==4 and R.contained(fa,fb)] + need(not candidates,'false-positive actual frame assignment') + minimum=R.rank(lb)+max(0,4-R.rank(R.join(la,ha&lb))) + need(minimum==5,'dimension incompatibility witness') + # Paid rank exchange has strict concavity sign in the intended direction. + exchange=(0,1,-2,1,0,0,0,0,0,0) + need(not R.all_power_nonnegative(exchange),'favorable rank exchange wrongly certified non-improving') + need(R.all_power_nonnegative(tuple(-x for x in exchange)),'reverse exchange sign') + print('PASS_STATIONARY_CONTROLS',{'intervals':len(intervals),'sign_rows':rows,'crossed_flag':True,'false_4_4_requires':minimum}) +if __name__=='__main__':main() diff --git a/research/staged544-stationary-pairs/vendor/SOURCE-CREDITS.md b/research/staged544-stationary-pairs/vendor/SOURCE-CREDITS.md new file mode 100644 index 0000000000..c054fad87e --- /dev/null +++ b/research/staged544-stationary-pairs/vendor/SOURCE-CREDITS.md @@ -0,0 +1,14 @@ +# Source credit and independence + +New work: dataisfire with substantial OpenAI Codex assistance, Apache-2.0. No independent human review, fresh third-party AI review or proof-kernel verification is claimed. + +The construction extends [PR3682](https://github.com/CrocSwap/integer-mult-bounds/pull/3682), head431e6c6023ef352c41696469de7fb614cd4ded8c. Its retimed word, actual T360 source clock and immutable native/parent framework are retained. The complete new source/receipt snapshot is bound by REPLAY-INPUTS.json. The new ordinary source stage is an explicit pinned record applied after the unchanged predecessor reconstruction. + +- [PR3605](https://github.com/CrocSwap/integer-mult-bounds/pull/3605), Ross Richardson, supplies the staged-entrance mechanism, literal cleanup and exact Gaussian residual-check pattern. staged_pair.py is retained; the new544 shear and its proof are separate. +- [PR3638](https://github.com/CrocSwap/integer-mult-bounds/pull/3638), head d62e1acd7518a231440383f0d0dddf54d6edf8c1, supplies the T360 source-window clock, chronological aggregate model and integral-network/literal construction, with its retained PR3605 and earlier credits. The new inventory, integer incumbent and literal fill are recomputed. No predecessor owner receipt is used as proof of the new fill. +- [PR3687](https://github.com/CrocSwap/integer-mult-bounds/pull/3687) and [PR3693](https://github.com/CrocSwap/integer-mult-bounds/pull/3693), Sagar Thakrar and roger-sato with their credited AI assistance, supply audit_core.py and the whole-word semantics adapter audit_verify.py. These bytes are retained and reused. They are independent of the current constructor in the stated interpreter scope, not a newly written independent audit or new reviewer approval. +- The coupled-word source lineage includes PR3133, PR2979, Marius-Paul Dumitrean, dcharb78, Jeremy Kothe and the retained native/owner/block-norm/outer authors. All notices and scientific engines inside the source snapshot remain intact. + +owner_audit.py is a standalone standard-library adaptation of the source-window/family/prefix/invoice predicates in PR3638's independent_literal.py. It imports no producer, optimizer or retained owner checker. Its source template, plan and actual native canonical words are authenticated inputs. Three controls mutate actual literal roles and must fail for the intended reason. It shares the credited contract interpretation; it is not evidence of independent human agreement. + +The rational finite-price enclosure is retained from the PR3682 sources. New script adapters bind it to the actual finite histogram. Native forward/backward scalar replay, wrapper/phase lowering and all-column warp recipes were freshly run for both new words; unchanged native and parent ancestry is explicitly reused. The separate new544 span(414,51) residual check includes global Gaussian phase. diff --git a/research/staged544-stationary-pairs/vendor/audit_core.py b/research/staged544-stationary-pairs/vendor/audit_core.py new file mode 100644 index 0000000000..8b5e1d5f2a --- /dev/null +++ b/research/staged544-stationary-pairs/vendor/audit_core.py @@ -0,0 +1,480 @@ +"""Independent exact semantics and binary-frame bill for the BORROW-WORD format. + +Standard library only. Nothing is imported from the audited authors' code +(PR3133/PR3605 producers, cleanup generator, evaluator or frame solver); the word +format and its semantic contract were read from those pinned sources and are +credited there. The frame-bill and free-word structure (point-set spans, warp +frame and lifted-frame checks, target levels keyed by register, dual symbol +naming) re-implements, without importing, Arham Tahir's +research/coupled-carrier-independent-audit/verify.py (Apache-2.0) and shares its +reading of the contract, so this module is not independent of that audit. + +Sagar Thakrar (thakrarsagar), with substantial AI assistance from Claude +(Anthropic, Claude Opus 5.5). Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q + +V, N, H = 112, 704, 9 # sources 0..111, targets 112..223, helpers 224..703 +DUAL = 10 ** 6 # offset naming the independent dual symbols D_k = K_k^(-T) + + +class AuditFailure(Exception): + """Explicit failure; never disabled by python -O.""" + + +def need(ok, *why): + if not ok: + raise AuditFailure(' '.join(map(str, why))) + + +def is_target(r): + return V <= r < 2 * V + + +def touched(g): + return g[1:3] if g[0] == 'add' else g[1:2] + + +# ---------------------------------------------------------------------------- +# Binary frames: a subspace of F_2^9 is stored as a 512-bit point-set mask +# (bit x set iff x lies in the subspace). Containment is mask inclusion. +# ---------------------------------------------------------------------------- +_SPAN = {} + + +def span(vectors): + key = tuple(vectors) + mask = _SPAN.get(key) + if mask is None: + points = {0} + for u in key: + need(type(u) is int and 0 <= u < 512, 'frame vector out of range', u) + if u not in points: + points |= {p ^ u for p in points} + mask = sum(1 << p for p in points) + _SPAN[key] = mask + return mask + + +def points(mask): + return [x for x in range(512) if mask >> x & 1] + + +def dim(mask): + size = bin(mask).count('1') + need(size and size & (size - 1) == 0, 'not a subspace point set') + return size.bit_length() - 1 + + +FULL = (1 << 512) - 1 +ZERO = 1 + + +def hyperplane(port): + return sum(1 << x for x in range(512) if bin(x & port).count('1') % 2 == 0) + + +def warp_images(columns): + """Images of all 512 vectors under the F_2-linear map with columns G e_i.""" + need(len(columns) == H and all(type(c) is int and 0 <= c < 512 for c in columns), 'warp columns') + images = [0] * 512 + for x in range(1, 512): + low = x & -x + images[x] = images[x ^ low] ^ columns[low.bit_length() - 1] + need(len(set(images)) == 512, 'singular warp') + return images + + +def image_mask(images, mask): + return sum(1 << images[x] for x in points(mask)) + + +def lagrangian_action_ok(images, U, E): + """K_G(x,z)=(Gx, Gx+G^{-T}(x+z)) is symplectic and maps L_U to L_E, L_0 and L_FULL to themselves. + + L_U={(x,x+p): x in U, p in U^perp}. This is the binary frame action only; it + is not a Clifford phase or Gaussian-product certificate. For invertible G with + G(U)=E it is implied by the frame-map check ( = ), so it is a + consistency check of the implementation, not extra evidence. + """ + inverse = [0] * 512 + for x, y in enumerate(images): + inverse[y] = x + # G^{-T} z: bit j of the result is . + git = lambda z: sum((bin(inverse[1 << j] & z).count('1') & 1) << j for j in range(H)) + lift = lambda x, z: (images[x], images[x] ^ git(x ^ z)) + pair = lambda a, b: (bin(a[0] & b[1]).count('1') + bin(a[1] & b[0]).count('1')) & 1 + basis = [(1 << i, 0) for i in range(H)] + [(0, 1 << i) for i in range(H)] + lifted = [lift(*b) for b in basis] + if any(pair(lifted[i], lifted[j]) != pair(basis[i], basis[j]) for i in range(18) for j in range(i + 1, 18)): + return False + + def frame(mask): + us = points(mask) + perp = [p for p in range(512) if all(bin(p & u).count('1') % 2 == 0 for u in us)] + return {(u, u ^ p) for u in us for p in perp} + return all({lift(*pt) for pt in frame(a)} == frame(b) for a, b in ((ZERO, ZERO), (FULL, FULL), (U, E))) + + +# ---------------------------------------------------------------------------- +# Chronological binary-frame bill (BORROW-WORD contract) +# ---------------------------------------------------------------------------- +def frame_bill(w, lagrangian=False): + rep = w['report'] + need((rep['v'], 2 * rep['v'] + rep['R'], rep['h']) == (V, N, H), 'word geometry') + removed = set(w['removed']) + need(len(removed) == len(w['removed']) and all(2 * V <= r < N for r in removed), 'removed helpers') + live = [r for r in range(N) if r not in removed] + liveset = set(live) + B, warps = w['B'], w['warps'] + for k, (pos, lender, cols, U, E) in enumerate(warps, 1): + need(0 <= pos <= len(B), 'warp position', k) + need(lender in liveset and not is_target(lender), 'warp lender', k) + images = warp_images(cols) + su, se = span(U), span(E) + need(dim(su) == len(U) == len(E) == dim(se), 'warp frame bases', k) + need(image_mask(images, su) == se, 'warp does not map its frame', k) + if lagrangian: + need(lagrangian_action_ok(images, su, se), 'lifted frame action', k) + for name in ('A', 'B', 'restore'): + for g in w[name]: + if g[0] != 'warp': + need(all(r in liveset for r in touched(g)), 'removed/out-of-range register', name, g) + if g[0] == 'add' and not is_target(g[1]): + need(not is_target(g[2]), 'non-target reads a target', name, g) + need(all(g[-1] is None and is_target(g[1]) and g[0] == 'add' for g in w['cut']), 'cut gates') + need(all(g[-1] == [] and is_target(g[1]) for g in w['precondition'] + w['compensation']), 'zero-frame wrapper writes') + need(all(not is_target(g[1]) for g in w['restore']), 'restore writes a target') + + ports = w['ports'] + start, end = {}, {} + for r in live: + if r < V: + start[r], end[r] = span((ports[r],)), FULL + elif r < 2 * V: + start[r], end[r] = ZERO, hyperplane(ports[r - V]) + else: + start[r], end[r] = ZERO, FULL + for q, U in w['start_extra'].items(): + need(int(q) in liveset and int(q) >= 2 * V, 'entrance names a live helper', q) + start[int(q)] = span(U) + for q, U in w['helper_final'].items(): + need(int(q) in liveset and int(q) >= 2 * V, 'terminal names a live helper', q) + end[int(q)] = span(U) + + current, bill, chain = dict(start), Counter(), {} + + def climb(r, mask, where): + need(current[r] & ~mask == 0, 'frame containment fails', where, r) + d = dim(mask) - dim(current[r]) + if d: + bill[d] += 1 + chain.setdefault(r, []).append((where, d, mask)) + current[r] = mask + + npre = w['prelude_events'] + for i, g in enumerate(w['A']): + if g[0] == 'warp': + need(i < npre and len(g) == 5, 'warp outside the prelude', i) + _, r, op, fr, to = g + need(op != 0 and abs(op) <= len(warps) and warps[abs(op) - 1][1] == r, 'prelude warp lender', i) + images = warp_images(warps[abs(op) - 1][2]) + if op < 0: + inverse = [0] * 512 + for x, y in enumerate(images): + inverse[y] = x + images = inverse + need(image_mask(images, span(fr)) == span(to), 'prelude warp frame action', i) + need(current[r] == span(fr), 'prelude warp entry frame', i, r) + current[r] = span(to) + chain.setdefault(r, []).append((('A', i), 'warp', span(to))) + else: + if i < npre: + need(is_target(g[1]), 'prelude scalar writes a non-target', i) + for r in touched(g): + climb(r, span(g[-1]), ('A', i)) + levels = {V + int(t): span(U) for t, U in w['target_levels'].items()} + need(all(current[t] == levels.get(t, ZERO) for t in range(V, 2 * V)), 'target cut levels') + for q, U in zip(w['centers'], w['center_frames']): + U = span(U) + need(current[q] == U, 'centre entry frame', q) + served = {levels.get(g[1], ZERO) for g in w['cut'] if g[2] == q} + for T in sorted(served, key=lambda m: -dim(m)): + need(T & ~U == 0, 'centre descent not nested', q) + d = dim(U) - dim(T) + if d: + bill[d] += 1 + chain.setdefault(q, []).append((('centre',), d, T)) + U = T + at = {} + for k, rec in enumerate(warps, 1): + at.setdefault(rec[0], []).append(k) + for p in range(len(B) + 1): + for k in at.get(p, ()): + _, lender, _, U, E = warps[k - 1] + need(current[lender] == span(U), 'native warp entry frame', k, lender) + current[lender] = span(E) + chain.setdefault(lender, []).append((('warp', k), 'warp', span(E))) + if p < len(B): + for r in touched(B[p]): + climb(r, span(B[p][-1]), ('B', p)) + for i, g in enumerate(w['restore']): + for r in touched(g): + climb(r, span(g[-1]), ('restore', i)) + for r in live: + climb(r, end[r], ('end',)) + restored = set(map(int, w['helper_final'])) + need(all(end[r] == FULL for r in live if r not in restored and not is_target(r)), 'a FULL-cleanup register ends low') + widths = Counter(dim(end[r]) - dim(start[r]) for r in live if r >= 2 * V) + return dict(sorted(bill.items())), dict(sorted(widths.items())), chain, start, end + + +def hygiene(w): + """Inherited structural contract: dyadic scalars, power-of-two scales, wrapper and correction access.""" + entering = set(map(int, w['start_extra'])) + restored = set(map(int, w['helper_final'])) + live = set(range(N)) - set(w['removed']) + for name in ('precondition', 'compensation', 'A', 'cut', 'B', 'restore', 'cleanup'): + for g in w[name]: + if g[0] == 'warp': + continue + q = Q(g[3], g[4]) if g[0] == 'add' else Q(g[2], g[3]) + need(q != 0 and q.denominator & (q.denominator - 1) == 0, 'non-dyadic scalar', name, g) + if g[0] == 'scale': + need(abs(q.numerator) & (abs(q.numerator) - 1) == 0, 'non power-of-two scale', name, g) + for g in w['precondition'] + w['compensation']: + need(not any(r in entering | restored for r in touched(g)), 'wrapper touches an entering or restored helper', g) + for c in w['initial_corrections']: + word = c['operator_word'] + need(is_target(c['target']) and c['source'] in live and c['source'] >= 2 * V + and c['source'] not in entering, 'correction access', c) + need(word and all(w['warps'][abs(o) - 1][1] == c['source'] for o in word), 'correction operator lender', c) + q = Q(c['coefficient']) + need(q != 0 and q.denominator & (q.denominator - 1) == 0, 'correction coefficient', c) + return True + + +# ---------------------------------------------------------------------------- +# Literal inverse cleanup, derived from the contract +# ---------------------------------------------------------------------------- +def ordinary_forward(w): + """Chronological non-wrapper actions whose inverse forms cleanup.""" + out = [g for g in w['A'][w['prelude_events']:]] + at = {} + for k, rec in enumerate(w['warps'], 1): + at.setdefault(rec[0], []).append(['warp', rec[1], k]) + for p in range(len(w['B']) + 1): + out += at.get(p, []) + if p < len(w['B']): + out.append(w['B'][p]) + return out + list(w['restore']) + + +def derive_cleanup(w): + restored = set(map(int, w['helper_final'])) + buf = lambda r: r + N if r in restored else r + full = [256, 128, 64, 32, 16, 8, 4, 2, 1] + out = [] + for g in reversed(ordinary_forward(w)): + if g[0] == 'warp': + out.append(['warp', buf(g[1]), -g[2], full]) + elif is_target(g[1]): + continue + elif g[0] == 'add': + out.append(['add', buf(g[1]), buf(g[2]), -g[3], g[4], full]) + else: + need(g[0] == 'scale', 'unknown primitive', g) + out.append(['scale', buf(g[1]), g[3], g[2], full]) + return out + + +def same_cleanup(a, b): + norm = lambda c: [(g[:-1], span(g[-1])) for g in c] + return len(a) == len(b) and norm(a) == norm(b) + + +# ---------------------------------------------------------------------------- +# Exact free-operator semantics. A value is a dict {(input, word): Fraction}; +# word is a reduced tuple of signed operator ids (leftmost = applied last). +# ---------------------------------------------------------------------------- +def program(w, cleanup=None): + """Literal executed sequence: corrections, wrapper, A, cut, B+warps, restore | cleanup.""" + items = [('corr', c['target'], c['source'], tuple(c['operator_word']), Q(c['coefficient'])) + for c in w['initial_corrections']] + items += w['precondition'] + w['compensation'] + w['A'] + w['cut'] + at = {} + for k, rec in enumerate(w['warps'], 1): + at.setdefault(rec[0], []).append(['warp', rec[1], k]) + for p in range(len(w['B']) + 1): + items += at.get(p, []) + if p < len(w['B']): + items.append(w['B'][p]) + items += w['restore'] + return items, list(w['cleanup'] if cleanup is None else cleanup) + + +def dual_op(op): + return (1 if op > 0 else -1) * (abs(op) + DUAL) + + +def _left(op, word): + return word[1:] if word and word[0] == -op else (op,) + word + + +def _right(word, op): + return word[:-1] if word and word[-1] == -op else word + (op,) + + +def _axpy(dst, src, q): + for key, x in src.items(): + y = dst.get(key, 0) + q * x + if y: + dst[key] = y + else: + dst.pop(key, None) + + +def forward_rows(w, cleanup=None, dual=False, symbolic_buffers=True, snapshot=None): + """Schrodinger pass: every register's value as a combination of initial inputs. + + Live inputs are independent symbols. Private buffers are independent symbols + when symbolic_buffers is set (dirty), otherwise zero. The optional snapshot + callback sees the rows at the cleanup boundary. + """ + removed = set(w['removed']) + live = [r for r in range(N) if r not in removed] + restored = sorted(map(int, w['helper_final'])) + rows = {r: {(r, ()): Q(1)} for r in live} + for c in restored: + rows[c + N] = {(c + N, ()): Q(1)} if symbolic_buffers else {} + prefix, tail = program(w, cleanup) + + def apply(g): + kind = g[0] + if kind == 'add': + t, s, q = g[1], g[2], Q(g[3], g[4]) + need(t != s and q, 'add gate', g) + if dual: + t, s, q = s, t, -q + _axpy(rows[t], rows[s], q) + elif kind == 'scale': + q = Q(g[2], g[3]) + need(q != 0, 'zero scale', g) + if dual: + q = 1 / q + rows[g[1]] = {k: q * x for k, x in rows[g[1]].items()} + elif kind == 'warp': + op = dual_op(g[2]) if dual else g[2] + rows[g[1]] = {(var, _left(op, word)): x for (var, word), x in rows[g[1]].items()} + elif kind == 'corr': + _, t, s, word, c = g + if dual: + src, ops, dst, c = rows[t], [-dual_op(o) for o in word], s, -c + else: + src, ops, dst = rows[s], list(reversed(word)), t + moved = {} + for (var, wd), x in src.items(): + for o in ops: + wd = _left(o, wd) + moved[var, wd] = x + _axpy(rows[dst], moved, c) + else: + raise AuditFailure('unknown primitive ' + repr(g)) + + for g in prefix: + apply(g) + if snapshot is not None: + snapshot(rows) + for g in tail: + apply(g) + return rows + + +def reverse_columns(w, cleanup=None, upto_cleanup=False): + """Heisenberg pull-back: process the forward program backwards. + + cols[s] = {(output, word): coefficient}: the final output register 'output' + contains coefficient*word*x_s. Words grow on the right. Every live input and + every private buffer is an independent symbol. + """ + removed = set(w['removed']) + live = [r for r in range(N) if r not in removed] + restored = sorted(map(int, w['helper_final'])) + regs = live + [c + N for c in restored] + cols = {r: {(r, ()): Q(1)} for r in regs} + prefix, tail = program(w, cleanup) + seq = prefix if upto_cleanup else prefix + tail + for g in reversed(seq): + kind = g[0] + if kind == 'add': + t, s, q = g[1], g[2], Q(g[3], g[4]) + need(t != s and q, 'add gate', g) + _axpy(cols[s], cols[t], q) + elif kind == 'scale': + q = Q(g[2], g[3]) + need(q != 0, 'zero scale', g) + cols[g[1]] = {k: q * x for k, x in cols[g[1]].items()} + elif kind == 'warp': + op = g[2] + cols[g[1]] = {(out, _right(word, op)): x for (out, word), x in cols[g[1]].items()} + elif kind == 'corr': + _, t, s, word, c = g + moved = {} + for (out, wd), x in cols[t].items(): + for o in word: + wd = _right(wd, o) + moved[out, wd] = x + _axpy(cols[s], moved, c) + else: + raise AuditFailure('unknown primitive ' + repr(g)) + return cols + + +def transpose(cols): + rows = {} + for s, col in cols.items(): + for (r, word), x in col.items(): + rows.setdefault(r, {})[s, word] = x + return rows + + +def endpoint_defects(w, rows, dual=False): + """Compare final rows with the contract on the zero-buffer (live-input) domain. + + Returns (bad live registers, dirty buffers, buffer->live leaks, buffer self-map identity). + """ + removed = set(w['removed']) + live = [r for r in range(N) if r not in removed] + restored = sorted(map(int, w['helper_final'])) + bad = [] + for r in live: + expect = {(r, ()): Q(1)} + if dual and r < V: + expect[r + V, ()] = Q(-1) + if not dual and is_target(r): + expect[r - V, ()] = Q(1) + got = {k: x for k, x in rows.get(r, {}).items() if k[0] < N} + if got != expect: + bad.append(r) + dirty = [c for c in restored if any(k[0] < N for k in rows.get(c + N, {}))] + leaks = sorted({r for r in live for k in rows.get(r, {}) if k[0] >= N}) + buffer_identity = all({k: x for k, x in rows.get(c + N, {}).items() if k[0] >= N} == {(c + N, ()): Q(1)} + for c in restored) + return bad, dirty, leaks, buffer_identity + + +def boundary_defects(w, rows): + """Contract at the cleanup boundary (forward): targets sheared, restored helpers clean and isolated.""" + restored = set(map(int, w['helper_final'])) + out = [] + for t in range(V, 2 * V): + if {k: x for k, x in rows[t].items() if k[0] < N} != {(t, ()): Q(1), (t - V, ()): Q(1)}: + out.append(('target', t)) + for c in restored: + if rows[c] != {(c, ()): Q(1)}: + out.append(('restored', c)) + for r, row in rows.items(): + if r < N and r not in restored and any(k[0] in restored for k in row): + out.append(('restored input read', r)) + return out diff --git a/research/staged544-stationary-pairs/vendor/audit_verify.py b/research/staged544-stationary-pairs/vendor/audit_verify.py new file mode 100644 index 0000000000..7f9fc1df42 --- /dev/null +++ b/research/staged544-stationary-pairs/vendor/audit_verify.py @@ -0,0 +1,254 @@ +#!/usr/bin/env python3 +"""Whole-word cross-check of published RETIMED and DELAYED supplier words. + +Reuses Sagar Thakrar's exact PR3687 audit_core, unchanged and authenticated +before execution. This is not a new interpreter. No construction/native checker +is imported. roger-sato with substantial OpenAI Codex assistance; Apache-2.0. +""" +from collections import Counter +from copy import deepcopy +import gzip +import hashlib +import json +from pathlib import Path +import sys +import types + +HERE = Path(__file__).resolve().parent +STAGED = {1: 2439, 2: 726, 3: 224, 4: 102, 5: 20, 8: 8} +RETIMED = {1: 2437, 2: 724, 3: 226, 4: 102, 5: 20, 8: 8} +WIDTHS = {4: 26, 5: 2, 6: 18, 7: 52, 8: 97, 9: 213} +MOVES = ((591, 1045, 640, 644, 2, [423, 65, 20, 10]), + (641, 1085, 656, 660, -1, [427, 96, 24, 6])) +SOURCE_COMMITS = { + 3605: '3efbb5de06a49ffeea6684482f2d3fe48cdca3fb', + 3642: '044d24f12e74f228dd462c07ae2d7f3ea35e2be9', + 3653: '607a09ff441c79b215a8127a81f4cc70021d0d9b', + 3682: '431e6c6023ef352c41696469de7fb614cd4ded8c', + 3687: 'f798838eb8ede4178e94f240e7b7e54b3f80c82d', +} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def authenticate(): + rows = json.loads((HERE / 'SOURCES.json').read_text())['snapshots'] + expected = {(3687, 'vendor/audit_core.py')} + for provider in ('base', 'extra'): + expected.update((number, f'inputs/{kind}-{provider}.json.gz') for number, kind in + ((3605, 'STAGED'), (3642, 'RETIMED'), (3653, 'RETIMED'), (3682, 'DELAYED'))) + keys = [(row['source_pr'], row['local']) for row in rows] + need(len(keys) == len(expected) and set(keys) == expected, 'source mapping inventory differs') + for row in rows: + need(row['source_commit'] == SOURCE_COMMITS[row['source_pr']], 'source commit differs') + raw = (HERE / row['local']).read_bytes() + need(len(raw) == row['bytes'], 'source byte length: ' + row['local']) + need(hashlib.sha256(raw).hexdigest() == row['sha256'], 'source SHA256: ' + row['local']) + blob = hashlib.sha1(b'blob ' + str(len(raw)).encode() + b'\0' + raw).hexdigest() + need(blob == row['git_blob'], 'source Git blob: ' + row['local']) + core = types.ModuleType('retained_audit_core') + path = HERE / 'vendor/audit_core.py' + # Execute the authenticated source bytes, without accepting a .pyc cache. + exec(compile(path.read_bytes(), str(path), 'exec'), core.__dict__) + return core + + +def load(kind, provider): + return json.loads(gzip.decompress((HERE / 'inputs' / f'{kind}-{provider}.json.gz').read_bytes())) + + +def events(w): + result = [] + for pos in range(len(w['B']) + 1): + result += [('warp', k, deepcopy(rec)) for k, rec in enumerate(w['warps']) if rec[0] == pos] + if pos < len(w['B']): + result.append(('gate', pos, deepcopy(w['B'][pos]))) + return result + + +def replace_events(w, seq): + result = deepcopy(w) + body, warps = [], [None] * len(w['warps']) + for kind, label, gate in seq: + gate = deepcopy(gate) + if kind == 'gate': + body.append(gate) + else: + gate[0] = len(body) + warps[label] = gate + need(all(rec is not None for rec in warps), 'lost warp in reconstruction') + result['B'], result['warps'] = body, warps + return result + + +def reconstruct(C, staged, kind): + """Literal prose recipes: adjacent shear swap, or move before first producer. + + This repeats the credited local structural arguments as an input control; + the new evidence is the full word calculation below. + """ + seq = events(staged) + for start, stop, donor, pivot, coefficient, frame in MOVES: + source = next(x for x in seq if x[:2] == ('gate', start)) + need(source[2] == ['add', donor, pivot, coefficient, 1, [429, 30]], 'source release') + if kind == 'RETIMED': + target = next(x for x in seq if x[:2] == ('gate', start + 1)) + need(target[2][0] == 'add' and target[2][2] == pivot, 'adjacent same-pivot shear') + need(not any(rec[0] == start + 1 for rec in staged['warps']), 'unexpected crossed warp') + where = seq.index(target) + 1 + else: + target = next(x for x in seq if x[:2] == ('gate', stop)) + writes = [i for i, g in enumerate(staged['B']) if i > start and g[1] == pivot] + need(writes[0] == stop, 'first producer cut') + where = seq.index(target) + changed = deepcopy(source[2]) + changed[-1] = frame + seq.insert(where, ('gate', -pivot, changed)) + seq.remove(source) + result = replace_events(staged, seq) + result['cleanup'] = C.derive_cleanup(result) + result['report']['local_profile'] = {str(k): v for k, v in RETIMED.items()} + return result + + +def semantics(C, w): + """All live and buffer inputs are symbols, with no zero-buffer assumption.""" + def endpoint(name, result): + bad_live, dirty_buffers, leaks, buffer_identity = result + need(not bad_live and not dirty_buffers and not leaks and buffer_identity, + name + ' endpoint: ' + repr(result)) + boundary = {} + rows = C.forward_rows(w, symbolic_buffers=True, + snapshot=lambda values: boundary.setdefault('defects', C.boundary_defects(w, values))) + endpoint('forward', C.endpoint_defects(w, rows)) + dual_rows = C.forward_rows(w, dual=True, symbolic_buffers=True) + endpoint('dual', C.endpoint_defects(w, dual_rows, dual=True)) + need(not boundary['defects'], 'cleanup boundary: ' + repr(boundary['defects'])) + pulled = C.transpose(C.reverse_columns(w)) + need(pulled == {r: row for r, row in rows.items() if row}, 'reverse pull-back differs from forward') + pre = C.transpose(C.reverse_columns(w, upto_cleanup=True)) + pre = {r: pre.get(r, {}) for r in set(pre) | set(range(C.N))} + need(not C.boundary_defects(w, pre), 'reverse cleanup-boundary contract') + live = C.N - len(w['removed']) + buffers = len(w['helper_final']) + need((live, buffers, len(rows)) == (632, 91, 723), 'complete symbolic domain') + # Endpoint expectations are derived by the retained checker: live x,y,h + # map to x,y+x,h; all private buffer symbols return unchanged. + return {'live_inputs': live, 'dirty_buffers': buffers, 'matrix_dimension': len(rows), + 'forward': 'PASS', 'dual': 'PASS', 'reverse_pullback_equals_forward': True, + 'cleanup_boundary_forward_and_reverse': 'PASS', + 'buffer_to_live_leaks': 0, 'buffer_self_map': 'identity', + 'nonzero_endpoint_terms': sum(len(row) for row in rows.values())} + + +def inspect(C, w, profile): + C.hygiene(w) + bill, widths, chain, _, _ = C.frame_bill(w) + need(bill == profile, 'computed profile differs') + need(w['report']['local_profile'] == {str(k): v for k, v in bill.items()}, 'declared profile differs') + need(widths == WIDTHS, 'helper widths differ') + need(w['cleanup'] == C.derive_cleanup(w), 'literal cleanup differs') + return {'semantics': semantics(C, w), 'profile': bill, 'widths': widths, + 'rank_mass': sum(r * n for r, n in bill.items())}, chain + + +def expect_rejection(C, fn, phrase): + try: + fn() + except (ValueError, C.AuditFailure) as exc: + need(phrase in str(exc), 'wrong rejection: ' + str(exc)) + return phrase + raise ValueError('mutant unexpectedly passed: ' + phrase) + + +def negative_controls(C, staged, w, kind): + controls = [] + for _, _, donor, pivot, _, _ in MOVES: + seq = events(w) + release = next(x for x in seq if x[0] == 'gate' and x[2][0] == 'add' and x[2][1:3] == [donor, pivot]) + for defect in ('omit', 'flip', 'cross_first_producer'): + changed = deepcopy(seq) + index = seq.index(release) + if defect == 'omit': + changed.pop(index) + elif defect == 'flip': + changed[index][2][3] *= -1 + else: + producer = next(x for x in changed[index + 1:] if x[0] == 'gate' and x[2][1] == pivot) + moved = changed.pop(index) + changed.insert(changed.index(producer) + 1, moved) + bad = replace_events(w, changed) + bad['cleanup'] = C.derive_cleanup(bad) + # Repair the literal inverse so stale cleanup is not the rejection. + reason = expect_rejection(C, lambda: semantics(C, bad), 'forward endpoint') + controls.append({'defect': defect, 'pivot': pivot, 'rejected_by': reason}) + old_cleanup = deepcopy(w) + old_cleanup['cleanup'] = staged['cleanup'] + # The inverse shears commute: this is a format failure, not a wrong operator. + semantic_control = semantics(C, old_cleanup) + need(old_cleanup['cleanup'] != C.derive_cleanup(old_cleanup), 'old cleanup unexpectedly literal') + controls.append({'defect': 'old_cleanup_order', 'semantics': semantic_control, + 'rejected_by': expect_rejection(C, lambda: inspect(C, old_cleanup, RETIMED), 'literal cleanup differs')}) + old_frames = deepcopy(w) + for gate in old_frames['B']: + if gate[0] == 'add' and gate[1:3] in ([640, 644], [656, 660]): + gate[-1] = [429, 30] + need(semantics(C, old_frames) == semantic_control, 'frame-only mutation changed operator') + if kind == 'RETIMED': + need(C.frame_bill(old_frames)[0] == STAGED, 'old frame control does not restore staged bill') + controls.append({'defect': 'old_release_frames', 'semantic_operator': 'PASS', + 'profile': STAGED, 'rejected_by': expect_rejection(C, lambda: inspect(C, old_frames, RETIMED), 'computed profile differs')}) + else: + # The later release encounters a donor that has already climbed, so + # the original rank-2 frame is now illegal, despite the same operator. + controls.append({'defect': 'old_release_frames', 'semantic_operator': 'PASS', + 'rejected_by': expect_rejection(C, lambda: inspect(C, old_frames, RETIMED), 'frame containment fails')}) + fake_report = deepcopy(w) + fake_report['report']['local_profile']['1'] += 1 + controls.append({'defect': 'wrong_declared_profile', 'rejected_by': + expect_rejection(C, lambda: inspect(C, fake_report, RETIMED), 'declared profile differs')}) + return controls + + +def run(C): + results = {} + for provider in ('base', 'extra'): + staged = load('STAGED', provider) + control, old_chain = inspect(C, staged, STAGED) + records = {'STAGED': control} + for kind in ('RETIMED', 'DELAYED'): + w = load(kind, provider) + need(reconstruct(C, staged, kind) == w, 'prose reconstruction differs: ' + kind) + record, chain = inspect(C, w, RETIMED) + deltas = {} + for register in set(chain) | set(old_chain): + before = Counter(d for _, d, _ in old_chain.get(register, []) if type(d) is int and d > 0) + after = Counter(d for _, d, _ in chain.get(register, []) if type(d) is int and d > 0) + delta = {r: after[r] - before[r] for r in set(after) | set(before) if after[r] != before[r]} + if delta: + deltas[register] = delta + need(deltas == {640: {1: -1, 2: -1, 3: 1}, 656: {1: -1, 2: -1, 3: 1}}, 'per-register invoice differs') + record['prose_reconstruction'] = 'exact complete JSON equality' + record['changed_register_bills'] = deltas + record['controls'] = negative_controls(C, staged, w, kind) + records[kind] = record + print('CHECKED', provider, kind, '723-register forward/dual/pull-back and 9 controls', flush=True) + results[provider] = records + return {'status': 'PASS_RETIMED_AND_DELAYED_WHOLE_WORD_AUDIT', + 'scope': 'Reused PR3687 interpreter; finite exact operator/frame audit only. No native Gaussian, owner, root, or complete supplier claim.', + 'providers': results} + + +if __name__ == '__main__': + need(sys.argv[1:] in ([], ['--write']), 'usage: verify.py [--write]') + C = authenticate() + result = run(C) + output = json.dumps(result, sort_keys=True, indent=2) + '\n' + if sys.argv[1:] == ['--write']: + (HERE / 'RESULT.json').write_text(output) + else: + need((HERE / 'RESULT.json').read_text() == output, 'committed result differs') + print(result['status']) diff --git a/research/staged544-stationary-pairs/vendor/retiming.py b/research/staged544-stationary-pairs/vendor/retiming.py new file mode 100644 index 0000000000..c33d7bbcdf --- /dev/null +++ b/research/staged544-stationary-pairs/vendor/retiming.py @@ -0,0 +1,269 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Exact, fixed-neighbour single-ADD retiming relaxation. + +Chris R / Clear1nsight, with substantial OpenAI assistance. The BORROW-WORD +frame contract and scalar-retiming mechanism are credited in README.md. +This module does not import the retained auditor or a numerical optimiser. +""" +from bisect import bisect_left +from collections import Counter +from copy import deepcopy +from fractions import Fraction +from functools import lru_cache + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +@lru_cache(maxsize=None) +def span(vectors): + points = {0} + for v in vectors: + need(type(v) is int and 0 <= v < 512, 'invalid frame vector') + points |= {x ^ v for x in tuple(points)} + return sum(1 << x for x in points) + + +@lru_cache(maxsize=None) +def basis(mask): + answer = [] + have = 1 + for v in range(1, 512): + if (mask >> v) & 1 and not (have >> v) & 1: + answer.append(v) + have = span(tuple(answer)) + need(have == mask, 'not a binary subspace') + return tuple(answer) + + +@lru_cache(maxsize=None) +def join(a, b): + return span(basis(a) + basis(b)) + + +@lru_cache(maxsize=None) +def rank(mask): + n = mask.bit_count() + need(n > 0 and n & (n - 1) == 0, 'invalid subspace cardinality') + return n.bit_length() - 1 + + +def contained(a, b): + return not a & ~b + + +def touched(gate): + return gate[1:3] if gate[0] == 'add' else gate[1:2] + + +def tracing(word): + """Own chronological trace; centre descent is NOT persistent state. + + A check node is a fixed boundary, not a charged instruction. The census + relaxes it to a virtual climb. Every legal witness has zero such charge. + """ + full = (1 << 512) - 1 + live = set(range(704)) - set(word['removed']) + start, end = {}, {} + for r in live: + if r < 112: + start[r], end[r] = span((word['ports'][r],)), full + elif r < 224: + p = word['ports'][r - 112] + start[r] = 1 + end[r] = sum(1 << x for x in range(512) if (x & p).bit_count() % 2 == 0) + else: + start[r], end[r] = 1, full + for r, fr in word['start_extra'].items(): + start[int(r)] = span(tuple(fr)) + for r, fr in word['helper_final'].items(): + end[int(r)] = span(tuple(fr)) + current = dict(start) + nodes = {r: [] for r in live} + where = {} + bill = Counter() + + def event(r, frame, address, kind='climb'): + before = current[r] + if kind != 'map': + need(contained(before, frame), 'source frame containment') + d = rank(frame) - rank(before) + if kind == 'check': + need(d == 0, 'source fixed boundary') + elif d: + bill[d] += 1 + if kind == 'climb': + where[(address, r)] = len(nodes[r]) + nodes[r].append((address, kind, before, frame)) + current[r] = frame + + for i, gate in enumerate(word['A']): + if gate[0] == 'warp': + event(gate[1], span(tuple(gate[3])), ('check-A', i), 'check') + event(gate[1], span(tuple(gate[4])), ('map-A', i), 'map') + else: + for r in touched(gate): + event(r, span(tuple(gate[-1])), ('A', i)) + levels = {112 + int(r): span(tuple(fr)) for r, fr in word['target_levels'].items()} + for r in range(112, 224): + event(r, levels.get(r, 1), ('target-cut', r), 'check') + for r, fr in zip(word['centers'], word['center_frames']): + u = span(tuple(fr)) + event(r, u, ('centre-cut', r), 'check') + served = {levels.get(g[1], 1) for g in word['cut'] if g[2] == r} + for v in sorted(served, key=lambda x: -rank(x)): + need(contained(v, u), 'centre nesting') + if rank(u) > rank(v): + bill[rank(u) - rank(v)] += 1 + u = v + # The main forward register remains at its declared centre entry. + warps = {} + for j, rec in enumerate(word['warps']): + warps.setdefault(rec[0], []).append((j, rec)) + for i in range(len(word['B']) + 1): + for j, rec in warps.get(i, []): + event(rec[1], span(tuple(rec[3])), ('check-B', j), 'check') + event(rec[1], span(tuple(rec[4])), ('map-B', j), 'map') + if i < len(word['B']): + gate = word['B'][i] + for r in touched(gate): + event(r, span(tuple(gate[-1])), ('B', i)) + for i, gate in enumerate(word['restore']): + for r in touched(gate): + event(r, span(tuple(gate[-1])), ('restore', i)) + for r in live: + event(r, end[r], ('end',)) + return nodes, where, dict(sorted(bill.items())) + + +def crosses(g, h): + """Sufficient exact scalar normal form, not all algebraic commutations.""" + if h[0] == 'add': + return g[1] != h[2] and h[1] != g[2] + return h[0] == 'scale' and h[2] != 0 + + +def segments(word, section): + if section == 'A': + cuts = [word['prelude_events'], len(word['A'])] + elif section == 'B': + cuts = sorted({0, len(word['B'])} | {rec[0] for rec in word['warps']}) + else: + cuts = [0, len(word[section])] + return list(zip(cuts, cuts[1:])) + + +def caps(delta): + return [sum(n * min(r, k) for r, n in enumerate(delta)) for k in range(1, 10)] + + +def all_power_nonnegative(delta): + """Sufficient exact certificate using decreasing positive curvatures.""" + values = caps(delta) + prefix = 0 + for value in values[:-1]: + prefix += value + if prefix < 0: + return False + return values[-1] == 0 + + +def census(word): + nodes, where, bill = tracing(word) + deltas = Counter() + counts = {} + for section in ('A', 'B', 'restore'): + gates = word[section] + count = 0 + for lo, hi in segments(word, section): + occurrences = {} + for i in range(lo, hi): + need(gates[i][0] in ('add', 'scale'), 'unexpected scalar segment') + for r in touched(gates[i]): + occurrences.setdefault(r, []).append(i) + for i in range(lo, hi): + g = gates[i] + if g[0] != 'add': + continue + lower = i + while lower > lo and crosses(g, gates[lower - 1]): + lower -= 1 + upper = i + 1 + while upper < hi and crosses(g, gates[upper]): + upper += 1 + removal = [0] * 10 + reduced, entries, exits = {}, {}, {} + for r in touched(g): + seq = nodes[r] + pos = where[((section, i), r)] + _, _, p, u = seq[pos] + need(pos + 1 < len(seq) and seq[pos + 1][1] != 'map', 'missing successor') + q = seq[pos + 1][3] + removal[rank(u) - rank(p)] -= 1 + removal[rank(q) - rank(u)] -= 1 + removal[rank(q) - rank(p)] += 1 + indices = occurrences[r] + reduced[r] = [x for x in indices if x != i] + entries[r] = seq[where[((section, indices[0]), r)]][2] + last = where[((section, indices[-1]), r)] + need(seq[last + 1][1] != 'map', 'missing exit check') + exits[r] = seq[last + 1][3] + for cut in range(lower, upper + 1): + if cut == i + 1: # Same placement as cut i, counted once. + continue + boundaries = [] + for r in touched(g): + indices = reduced[r] + j = bisect_left(indices, cut) + p = span(tuple(gates[indices[j - 1]][-1])) if j else entries[r] + q = span(tuple(gates[indices[j]][-1])) if j < len(indices) else exits[r] + boundaries.append((p, q)) + lower_frame = join(boundaries[0][0], boundaries[1][0]) + upper_frame = boundaries[0][1] & boundaries[1][1] + if not contained(lower_frame, upper_frame): + continue + dims = [(rank(p), rank(q)) for p, q in boundaries] + for d in range(rank(lower_frame), rank(upper_frame) + 1): + delta = removal.copy() + for p, q in dims: + delta[q - p] -= 1 + delta[d - p] += 1 + delta[q - d] += 1 + delta[0] = 0 + need(sum(r * n for r, n in enumerate(delta)) == 0, 'rank mass drift') + deltas[tuple(delta)] += 1 + count += 1 + counts[section] = count + return {'per_section': counts, 'candidates': sum(counts.values()), + 'source_profile': bill, + 'deltas': [{'delta': {r: n for r, n in enumerate(d) if n}, 'count': n, + 'caps': caps(d), 'certificate': all_power_nonnegative(d)} + for d, n in sorted(deltas.items())]} + + +def apply_move(word, section, index, cut, frame): + """Apply one exact scalar retiming. Caller must rederive cleanup and audit.""" + need(section in ('A', 'B', 'restore'), 'unknown section') + gates = word[section] + need(type(index) is int and 0 <= index < len(gates), 'bad source index') + need(type(cut) is int and 0 <= cut <= len(gates), 'bad insertion cut') + need(any(lo <= index < hi and lo <= cut <= hi for lo, hi in segments(word, section)), + 'crosses prelude or native warp boundary') + g = deepcopy(gates[index]) + need(g[0] == 'add', 'only ADD moves are covered') + crossed = gates[index + 1:cut] if cut > index else gates[cut:index] + need(all(crosses(g, h) for h in crossed), 'noncommuting scalar barrier') + coefficient = Fraction(g[3], g[4]) + for h in crossed: + if h[0] == 'scale' and h[1] in touched(g): + power = (1 if h[1] == g[1] else -1) * (1 if cut > index else -1) + coefficient *= Fraction(h[2], h[3]) ** power + g[3:5] = [coefficient.numerator, coefficient.denominator] + g[-1] = list(basis(span(tuple(frame)))) + result = deepcopy(word) + result[section].pop(index) + result[section].insert(cut - (cut > index), g) + # Segment length and all warp cuts are unchanged. No warp is crossed. + return result diff --git a/research/staged544-stationary-pairs/verify.py b/research/staged544-stationary-pairs/verify.py new file mode 100644 index 0000000000..213bdf748c --- /dev/null +++ b/research/staged544-stationary-pairs/verify.py @@ -0,0 +1,74 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Read-only, source-authenticated census and exact dirty-state controls.""" +import gzip,hashlib,json,sys +from collections import Counter +from copy import deepcopy +from pathlib import Path +P=Path(__file__).resolve().parent +# Authenticate retained executable bytes before any retained source executes. +for _row in json.loads((P/'SOURCES.json').read_text())['snapshots']: + _raw=(P/_row['local']).read_bytes() + if len(_raw)!=_row['bytes'] or hashlib.sha256(_raw).hexdigest()!=_row['sha256'] or hashlib.sha1(b'blob '+str(len(_raw)).encode()+b'\0'+_raw).hexdigest()!=_row['git_blob']: + raise ValueError('source authentication before import: '+_row['local']) +sys.path.insert(0,str(P)) +import pairs as S + +def normal(x):return json.loads(json.dumps(x,sort_keys=True)) +def authenticate(raw,row): + S.require(len(raw)==row['bytes'],'source length') + S.require(hashlib.sha256(raw).hexdigest()==row['sha256'],'source SHA256') + S.require(hashlib.sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest()==row['git_blob'],'source blob') +def setup(): + for row in json.loads((P/'SOURCES.json').read_text())['snapshots']:authenticate((P/row['local']).read_bytes(),row) + return S.module('retained_auditor',P/'vendor/audit_core.py'),S.module('retained_semantics',P/'vendor/audit_verify.py') +def load(tag):return json.loads(gzip.decompress((P/'inputs'/f'BORROW-WORD-43{tag}.json.gz').read_bytes())) +def scalar_projection(word): + # Every semantic field is retained, except frames and derived paid report. + out=deepcopy(word) + for section in ('A','B','restore'): + for g in out[section]: + if g[0]=='add':g[-1]=None + out['report'].pop('local_profile',None) + return out + +def validation(word,result,C,A): + C.hygiene(word);bill,widths,*_=C.frame_bill(word) + S.require(bill=={int(k):v for k,v in result['baseline_profile'].items()},'baseline invoice') + S.require(C.derive_cleanup(word)==word['cleanup'],'baseline cleanup') + baseline=A.semantics(C,word);samples=[] + for a,b,fa,fb,delta in result['whole_word_samples']: + final=deepcopy(word);final[a[0]][a[1]][-1]=fa;final[b[0]][b[1]][-1]=fb + actual,inventory,*_=C.frame_bill(final) + S.require(tuple(actual.get(k,0)-bill.get(k,0) if k else 0 for k in range(10))==tuple(delta),'sample final invoice') + S.require(inventory==widths,'helper inventory') + S.require(C.derive_cleanup(final)==word['cleanup'],'unchanged inverse cleanup') + final['report']['local_profile']={str(k):v for k,v in actual.items()} + C.hygiene(final) + S.require(scalar_projection(word)==scalar_projection(final),'unchanged free-operator program') + semantic=A.semantics(C,final) + samples.append({'addresses':[a,b],'frames':[fa,fb],'profile':actual,'semantics':semantic}) + primitives={sec:dict(sorted(Counter(g[0] for g in word[sec]).items())) for sec in ('precondition','compensation','A','cut','B','restore','cleanup')} + coeff=[g for sec in ('A','B','restore') for g in word[sec] if g[0]=='add'] + return {'baseline_semantics':baseline,'edited_whole_words':samples, + 'ledger':{'recursive_profile':bill,'children':sum(bill.values()),'rank_mass':sum(k*v for k,v in bill.items()), + 'helper_widths':widths,'helper_roles':sum(widths.values()),'dirty_buffers':len(word['helper_final']), + 'live_inputs':C.N-len(word['removed']),'native_warps':len(word['warps']),'initial_corrections':len(word['initial_corrections']), + 'primitive_inventory':primitives,'scalar_numerator_bits':max(abs(g[3]).bit_length() for g in coeff), + 'scalar_denominator_bits':max(g[4].bit_length() for g in coeff),'added_gates_helpers_buffers':0, + 'proved':['All final paired frames and fixed boundaries by exact subspace enumeration; every paired local invoice', + 'Arbitrary-dirty operator and cleanup unchanged for every frame-only edit by identical semantic fields', + 'Complete exact free-operator baseline plus four edited whole-word controls per provider'], + 'unknown':['Fresh native Gaussian/Clifford phase implementation','Physical allocation/hosting and owner chronology', + 'Uniform precision, stock and tape tariffs','All-size compiler and outer/supplier admission','Analytic and BIT assumptions'], + 'unknown_costs_are_zero':False,'new_supplier_or_kappa':False}} + +def main(): + C,A=setup() + for tag in ('base','extra'): + word=load(tag);result=S.census(word) + S.require(normal(result)==json.loads((P/f'RESULT-{tag}.json').read_text()),'census receipt '+tag) + receipt=validation(word,result,C,A) + S.require(normal(receipt)==json.loads((P/f'CHECKS-{tag}.json').read_text()),'validation receipt '+tag) + print('PASS_STATIONARY_PAIRS',tag,result['coupled_pairs'],result['pair_frame_assignments'],flush=True) +if __name__=='__main__':main()