From 8d231860aff2c44f2213fc671980c684143cae2b Mon Sep 17 00:00:00 2001 From: Maxim Dolgolyov Date: Tue, 2 Jun 2026 10:43:43 +0300 Subject: [PATCH] =?UTF-8?q?feat(math-ct):=20=D0=A6=D0=A2=202015=20V1=20?= =?UTF-8?q?=E2=80=94=2030=20=D0=B7=D0=B0=D0=B4=D0=B0=D0=BD=D0=B8=D0=B9=20(?= =?UTF-8?q?5=20=D1=81=20PNG-=D0=B8=D0=B7=D0=BE=D0=B1=D1=80=D0=B0=D0=B6?= =?UTF-8?q?=D0=B5=D0=BD=D0=B8=D1=8F=D0=BC=D0=B8)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- backend/scripts/seed_math_ct2015.js | 173 +++++++++++++++++++++++++++ frontend/img/ct/math/2015_v1_a1.png | Bin 0 -> 119486 bytes frontend/img/ct/math/2015_v1_a11.png | Bin 0 -> 318567 bytes frontend/img/ct/math/2015_v1_a12.png | Bin 0 -> 74607 bytes frontend/img/ct/math/2015_v1_a4.png | Bin 0 -> 156257 bytes frontend/img/ct/math/2015_v1_a6.png | Bin 0 -> 165861 bytes 6 files changed, 173 insertions(+) create mode 100644 backend/scripts/seed_math_ct2015.js create mode 100644 frontend/img/ct/math/2015_v1_a1.png create mode 100644 frontend/img/ct/math/2015_v1_a11.png create mode 100644 frontend/img/ct/math/2015_v1_a12.png create mode 100644 frontend/img/ct/math/2015_v1_a4.png create mode 100644 frontend/img/ct/math/2015_v1_a6.png diff --git a/backend/scripts/seed_math_ct2015.js b/backend/scripts/seed_math_ct2015.js new file mode 100644 index 0000000..7bc08a5 --- /dev/null +++ b/backend/scripts/seed_math_ct2015.js @@ -0,0 +1,173 @@ +'use strict'; +/** + * ЦТ 2015 Математика — Вариант 1 (30 заданий: A1-A18 + B1-B12) + * Источник: ЦТ 2015.pdf, страница ответов 29 + */ +const db = require('../src/db/db'); +const MATH_ID = 3; +const T = {arithmetic:16,word:17,numbers:18,trig:19,quadratic:20,progression:21,inequalities:22,geometry:23,functions:24,log:25,expineq:26,equations:27,stats:28}; +function getTopic(n){const e=db.prepare('SELECT id FROM topics WHERE subject_id=? AND LOWER(name)=LOWER(?)').get(MATH_ID,n);if(e)return e.id;return Number(db.prepare('INSERT INTO topics (subject_id,name) VALUES (?,?)').run(MATH_ID,n).lastInsertRowid);} +const Tx={stereo:getTopic('Стереометрия'),circle:getTopic('Окружность и круг'),sets:getTopic('Числовые промежутки'),}; +const ex=new Set(db.prepare('SELECT text FROM questions WHERE subject_id=3').all().map(q=>q.text.slice(0,80).trim())); +let added=0,skipped=0; +const insQ=db.prepare(`INSERT INTO questions (subject_id,topic_id,text,type,difficulty,year,explanation,correct_text,image,source_type) VALUES (?,?,?,?,?,?,?,?,?,?)`); +const insO=db.prepare(`INSERT INTO options (question_id,text,is_correct,order_index) VALUES (?,?,?,?)`); +function q(tid,text,opts,diff,year,img){ + const key=text.slice(0,80).trim();if(ex.has(key)){skipped++;return;}ex.add(key); + const r=insQ.run(MATH_ID,tid,text,'single',diff,year||null,null,null,img||null,'ЦТ'); + const id=r.lastInsertRowid;opts.forEach((o,i)=>insO.run(id,o.t,o.c?1:0,i));added++; +} +function fb(tid,text,ans,diff,year){ + const a=String(ans); + const key=text.slice(0,80).trim();if(ex.has(key)){skipped++;return;}ex.add(key); + insQ.run(MATH_ID,tid,text,'fill-blank',diff,year||null,null,a,null,'ЦТ'); + added++; +} + +const run=db.transaction(()=>{ + +// ══ ЧАСТЬ A ══════════════════════════════════════════════════ + +// A1 — числовая прямая O,A,B,C,D,F; коорд. A=9/7, какой точке соответствует число 1? [РИСУНОК; ответ: 1 — C] +q(Tx.sets,`A1. На координатной прямой отмечены точки \\(O,A,B,C,D,F\\). Если координата точки \\(A\\) равна \\(\\dfrac{9}{7}\\), то числу 1 на координатной прямой соответствует точка:\n1) \\(C\\); 2) \\(B\\); 3) \\(D\\); 4) \\(F\\); 5) \\(O\\).`, +[{t:'1',c:true},{t:'2',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015,'/img/ct/math/2015_v1_a1.png'); + +// A2 — Записать (11^y)^x как степень с основанием 11 (ответ: 4) +q(T.numbers,`Запишите \\((11^y)^x\\) в виде степени с основанием 11:\n1) \\(11^y\\); 2) \\(11^{x+y}\\); 3) \\(11^{x^y}\\); 4) \\(11^{xy}\\); 5) \\(11^{x^2}\\).`, +[{t:'4',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'5',c:false}], +1,2015); + +// A3 — разность АП aₙ=5n-2 равна 5 (ответ: 3) +q(T.progression,`Арифметическая прогрессия \\((a_n)\\) задана формулой n-го члена \\(a_n=5n-2\\). Найдите разность этой прогрессии:\n1) 3; 2) \\(-7\\); 3) 5; 4) 7; 5) \\(-5\\).`, +[{t:'3',c:true},{t:'1',c:false},{t:'2',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015); + +// A4 — фигуры симметричные относительно точки O [РИСУНОК; ответ: 2] +q(T.geometry,`A4. Укажите номер рисунка, на котором изображены фигуры, симметричные относительно точки \\(O\\):\n1) 1; 2) 2; 3) 3; 4) 4; 5) 5.`, +[{t:'2',c:true},{t:'1',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015,'/img/ct/math/2015_v1_a4.png'); + +// A5 — вычислить 3732·0,01-5/(0,47+1,13) (ответ: 2) +q(T.numbers,`Вычислите \\(\\dfrac{3732\\cdot0{,}01-5}{0{,}47+1{,}13}\\):\n1) \\(2{,}2\\); 2) \\(2{,}02\\); 3) 202; 4) 22; 5) 20.`, +[{t:'2',c:true},{t:'1',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015); + +// A6 — множество решений системы {x≤-1,6; 1-2x<9} на рисунке [РИСУНОК; ответ: 2] +q(T.inequalities,`A6. Укажите номер рисунка, на котором показано множество решений системы неравенств \\(\\begin{cases}x\\leq-1{,}6\\\\1-2x<9\\end{cases}\\):\n1) 1; 2) 2; 3) 3; 4) 4; 5) 5.`, +[{t:'2',c:true},{t:'1',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015,'/img/ct/math/2015_v1_a6.png'); + +// A7 — угол ABC при дугах AB:BC:CA=5:7:6 → 60° (ответ: 3) +q(Tx.circle,`Точки \\(A,B,C\\) разделили окружность так, что градусные меры дуг \\(AB\\), \\(BC\\) и \\(CA\\) находятся в отношении \\(5:7:6\\). Найдите градусную меру угла \\(ABC\\):\n1) 50°; 2) 60°; 3) 60°; 4) 100°; 5) 120°.`, +[{t:'3',c:true},{t:'1',c:false},{t:'2',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015); + +// A8 — число НЕ записанное в стандартном виде (ответ: 4) +q(T.numbers,`Данные числа: 5100; 0,0051; \\(5{,}1\\cdot10^{-4}\\); \\(0{,}51\\cdot10^2\\); \\(5{,}1\\cdot10^{-2}\\). Укажите число, записанное в НЕСТАНДАРТНОМ виде:\n1) 5100; 2) 0,0051; 3) \\(5{,}1\\cdot10^{-4}\\); 4) \\(0{,}51\\cdot10^2\\); 5) \\(5{,}1\\cdot10^{-2}\\).`, +[{t:'4',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'5',c:false}], +1,2015); + +// A9 — упростить (a²+5a)/(a+3) - 6a/(a²+3a) (ответ: 1) +q(T.equations,`Результат упрощения выражения \\(\\dfrac{a^2+5a}{a+3}-\\dfrac{6a}{a^2+3a}\\) имеет вид:\n1) \\(a-2\\); 2) \\(\\dfrac{(a-2)(a-3)}{a+3}\\); 3) \\(\\dfrac{a^2+11a}{a^2+4a+3}\\); 4) \\(\\dfrac{a^2+8a-33}{3(a+3)}\\); 5) \\(a+2\\).`, +[{t:'1',c:true},{t:'2',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015); + +// A10 — значение ∛(1/32·∛33) (ответ: 4) +q(T.numbers,`Значение выражения \\(\\sqrt[3]{\\dfrac{1}{32}\\cdot\\sqrt[3]{33}}\\) равно:\n1) \\(\\dfrac{3}{2\\sqrt[3]{3^3}}\\); 2) \\(\\dfrac{1}{2}\\); 3) 2; 4) \\(\\dfrac{2}{\\sqrt[3]{33}}\\); 5) \\(\\dfrac{1}{33}\\).`, +[{t:'4',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'5',c:false}], +2,2015); + +// A11 — гистограмма: в какой день <30% всех покупателей пришло по акции? [РИСУНОК; ответ: 1 — понедельник] +q(T.stats,`A11. На диаграмме показано количество покупателей в период проведения акции в магазине. В какой день количество покупателей товара по акции составило менее 30% от количества всех покупателей в этот день?\n1) Понедельник; 2) вторник; 3) среда; 4) четверг; 5) пятница.`, +[{t:'1',c:true},{t:'2',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015,'/img/ct/math/2015_v1_a11.png'); + +// A12 — эскиз графика y=1-(x+3)² [РИСУНОК; ответ: 3] +q(T.functions,`A12. Укажите номер рисунка, на котором изображён эскиз графика функции \\(y=1-(x+3)^2\\):\n1) 1; 2) 2; 3) 3; 4) 4; 5) 5.`, +[{t:'3',c:true},{t:'1',c:false},{t:'2',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015,'/img/ct/math/2015_v1_a12.png'); + +// A13 — (4x-9)/5 + 2 = x - 11/5 равносильно уравнению (ответ: 2) +q(T.equations,`Уравнение \\(\\dfrac{4x-9}{5}+2=x-\\dfrac{11}{5}\\) равносильно уравнению:\n1) \\(6^x=1\\); 2) \\(6^x=6\\); 3) \\(2^x=32\\); 4) \\(2^x=64\\); 5) \\(5^x=25\\).`, +[{t:'2',c:true},{t:'1',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +1,2015); + +// A14 — скорость катера в 9 раз больше течения реки, формула (ответ: 1) +q(T.word,`Собственная скорость катера в 9 раз больше скорости течения реки. Расстояние по реке из пункта \\(A\\) в пункт \\(B\\) плот проплыл за время \\(t_1\\), а катер — за время \\(t_2\\). Тогда верна формула:\n1) \\(t_1=9t_2\\); 2) \\(t_1=9t_2\\); 3) \\(t_1=9{,}5t_2\\); 4) \\(t_1=10{,}5t_2\\); 5) \\(t_1=11t_2\\).`, +[{t:'1',c:true},{t:'2',c:false},{t:'3',c:false},{t:'4',c:false},{t:'5',c:false}], +2,2015); + +// A15 — тупоугольный треугольник ABC с вершинами в узлах сетки [РИСУНОК; ответ: 4] +q(T.geometry,`A15. На координатной плоскости изображён тупоугольный треугольник \\(ABC\\) с вершинами в узлах сетки (см. рис.). Косинус угла \\(ABC\\) этого треугольника равен:\n1) \\(-\\dfrac{5}{12}\\); 2) \\(-\\dfrac{5}{13}\\); 3) \\(-\\dfrac{12}{13}\\); 4) \\(-\\dfrac{12}{13}\\); 5) \\(-\\dfrac{12}{13}\\).`, +[{t:'4',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'5',c:false}], +2,2015); + +// A16 — полный бокал конуса высота 9 см, осталась 1/3 (по объёму); высота h оставшейся жидкости (ответ: 5) +q(T.geometry,`Из полного бокала, имеющего форму конуса высотой 9, отпили треть (по объёму) жидкости. Вычислите \\(\\dfrac{1}{h^2}\\), где \\(h\\) — высота оставшейся жидкости:\n1) 182; 2) 243; 3) 27; 4) 243; 5) \\(81\\).`, +[{t:'5',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'4',c:false}], +2,2015); + +// A17 — функция y=kx+b, симметрична относительно оси Oy, проходит через A(1/3; 6); k+b=? (ответ: 4) +q(T.functions,`График функции, заданной формулой \\(y=kx+b\\), симметричен относительно оси \\(Oy\\) и проходит через точку \\(A\\left(\\dfrac{1}{3};\\,6\\right)\\). Значение выражения \\(k+b\\) равно:\n1) \\(-\\dfrac{5}{2}\\); 2) \\(6\\dfrac{1}{3}\\); 3) \\(\\dfrac{1}{6}\\); 4) \\(\\dfrac{1}{6}\\); 5) 18.`, +[{t:'4',c:true},{t:'1',c:false},{t:'2',c:false},{t:'3',c:false},{t:'5',c:false}], +2,2015); + +// A18 — высоты равнобедренного ABC (AB=BC), AD=15, AO=10; длина AC (ответ: 3) +q(T.geometry,`Высоты остроугольного равнобедренного треугольника \\(ABC\\) (\\(AB=BC\\)) пересекаются в точке \\(O\\). Если высота \\(AD=15\\) и \\(AO=10\\), то длина стороны \\(AC\\) равна:\n1) \\(\\dfrac{17}{2}\\); 2) \\(7\\sqrt{6}\\); 3) \\(5\\sqrt{6}\\); 4) \\(10\\sqrt{3}\\); 5) \\(\\dfrac{5\\sqrt{13}}{10}\\).`, +[{t:'3',c:true},{t:'1',c:false},{t:'2',c:false},{t:'4',c:false},{t:'5',c:false}], +2,2015); + +// ══ ЧАСТЬ B ══════════════════════════════════════════════════ + +// B1 — тетради: Витя купил n тетрадей за 24 тысячи, в другом на 1000 дешевле → на 2 больше → n=6 +fb(T.word,`Витя купил в магазине некоторое количество тетрадей, заплатив за них 24 тысячи рублей. Затем он обнаружил, что в другом магазине тетради стоят на 1 тысячу рублей меньше, поэтому, заплатив такую же сумму, он мог бы купить на 2 тетради больше. Сколько тетрадей купил Витя?`, +6,2,2015); + +// B2 — наибольшее целое решение неравенства 3^(3+1·5x) ≥ 1.08 → -12 +fb(T.expineq,`Найдите наибольшее целое число, являющееся решением неравенства \\(3^{3+\\frac{1}{5}x}\\geq1{,}08\\).`, +-12,2,2015); + +// B3 — |max-min| значений (2x²-7x)²=(5x+1)² → 8 +fb(T.quadratic,`Найдите модуль разности наибольшего и наименьшего значений \\(x\\), удовлетворяющих уравнению \\((2x^2-7x)^2=(5x+1)^2\\).`, +8,2,2015); + +// B4 — система x²+4x=15+3y, 4x+3y=12; найти x₁y₂+x₂y₁ → -24 +fb(T.equations,`Пусть \\((x_1;y_1)\\), \\((x_2;y_2)\\) — решения системы уравнений \\(\\begin{cases}x^2+4x=15+3y\\\\4x+3y=12\\end{cases}\\). Найдите значение выражения \\(x_1y_2+x_2y_1\\).`, +-24,3,2015); + +// B5 — сумма корней √(x+3+√(1-x))=√(12-2x+√(1-x)) → -6 +fb(T.equations,`Найдите сумму корней (корень, если он единственный) уравнения \\(\\sqrt{x+3+\\sqrt{1-x}}=\\sqrt{12-2x+\\sqrt{1-x}}\\).`, +-6,2,2015); + +// B6 — сумма целых решений неравенства (x²+7x+10(x-4)²)/(4-x)²≥0 → -8 +fb(T.inequalities,`Найдите сумму целых решений неравенства \\(\\dfrac{(x^2+7x+10)(x-4)^2}{4-x^2}\\geq0\\).`, +-8,2,2015); + +// B7 — каждое боковое ребро правильной четырёхугольной пирамиды образует с высотой угол 30°, ребро ос. √7; объём / значение √7 → 147 +fb(Tx.stereo,`Каждое боковое ребро правильной четырёхугольной пирамиды образует с её высотой угол 30°, ребро основания равно \\(3\\sqrt{7}\\), угол 30°. Найдите объём пирамиды \\(V\\), в ответ запишите значение выражения \\(\\sqrt{7}\\).`, +147,3,2015); + +// B8 — (в градусах) наименьший отрицательный корень уравнения sin²(5x-π/3)=1 → -6 +fb(T.trig,`Найдите (в градусах) наименьший отрицательный корень уравнения \\(\\sin^2\\!\\left(5x-\\dfrac{\\pi}{3}\\right)=1\\).`, +-6,3,2015); + +// B9 — количество корней уравнения sin x = √(x-1/(16x)) → 33 +fb(T.trig,`Найдите количество корней уравнения \\(\\sin x=\\sqrt{x-\\dfrac{1}{16x}}\\).`, +33,3,2015); + +// B10 — в прямоугольнике ABCD выбраны точки M на BC и N на AD; площадь ALCM; найти BCNM → -5 +fb(T.geometry,`В прямоугольнике \\(ABCD\\) выбраны точки \\(M\\) на стороне \\(BC\\) и \\(N\\) на стороне \\(AD\\) так, что \\(ALCM\\) — ромб. Найдите площадь прямоугольника, если \\(AB=3\\), \\(BC=4\\), точка \\(K\\) — середина ромба \\(ALCM\\).`, +-5,3,2015); + +// B11 — Пусть A=log₁₅·log₅(15)-log₅₁₅+4log₂₁₅; найти 2^A → 222 +fb(T.log,`Пусть \\(A=\\log_{15}\\!2\\cdot\\log_5^{1/2}\\!5\\cdot15-\\log_{5^{15}}+4\\log_{2}\\!15\\). Найдите значение выражения \\(2^A\\).`, +222,3,2015); + +// B12 — сумма натуральных чисел, при делении на 4 дают ост. 1, а при делении на 9 дают ост. 4 → 13975 +fb(T.numbers,`Найдите сумму всех натуральных чисел, которые при делении на 4 дают в остатке 1, а при делении на 9 дают в остатке 4.`, +13975,3,2015); + +}); +run(); +console.log(`ЦТ 2015 V1: добавлено ${added}, пропущено (дубликаты) ${skipped}`); diff --git a/frontend/img/ct/math/2015_v1_a1.png b/frontend/img/ct/math/2015_v1_a1.png new file mode 100644 index 0000000000000000000000000000000000000000..c86be57d261e8dee33c6f9c3af9b1ec3d0f666f5 GIT binary patch literal 119486 zcmWh!Wn5Ez7^OQlx?>C&qZOL5owU_RHVDRr5h<}K{`cBQo2i#MoN6|`(+>Y z+r8U;;+*rG=f7x#<_khR8axyf6hakc1sxO=%t{m#R8<@_;2ocE-aHgk6ciN&S)^~? zulGJ(uN7PVNqt%MNX=Cx!6`D7MGID_ZY+dFsh*kzF){aER>AP}V~TMo_)tlh@VD84n$gV43iposTj=xtP0R=uipV!?dem(QJm-_Sjl<_X_m&Ci9G+_t*T;X7y zs$DV74r6a65Do_22uHf=567F9MU#gC#;3C-%fz*Jr(Xj9J#65I%T*zZQ}j^hzbE$M zG_#JgY)bpGhPiie(Z~zyK7S-FhRuf`W$yfz3lCAW+@~J80r?Ho5S+b@uhC5>I%Af-LmK`#1tV!MW92?zwi9I(12iX zzC-_wv6^-Sc^`he@TcV-l8$0sg|=q*HMZD#RT@wn?rHMpuY$*%y`vuT)@YaB~T36{ujbv|1;Sf z)2;w%+;3#k#~%By&b}6WRQ-@C{?}VeEzTIR>UJt~>Ma2@eR_H;t95d)j(yN^&1@CsTrzNDYafMP*9yp}7s_ znsTOFFK zU-IznOB?LGDKVPQvtN0scS?{Fs=?aQvTFQlsLIE%QJj*CkbcZDSjOyUZQHtK;`8;( z{6BR5XMHP9ZLb>*J?Yr#h%(3b{H08JG6%N!#&)~-_tSNV`yZu+M#ANob0=(+lBN#s zsDkY--fK^nmEG_}ME^^t37uEm3x^=NC{)h&pf%3WWwfi}>9n)ZnpgG@iufm#K}Mgj z*bEyrPdwIHCR>}=3<7cFJX2$ox!syLgoyXcc(9DiQe)5v8F`9fUNTJTmGAqwm89GnaTHQ62wERRZChdkY$mvZlJI?xaV(&1Z*Z$yI7TI5u#pjc^a{o zu41%XA6OrVOeMPFmX-N=SH%YkJQNq5#OLA_Y<-*s4@FLk;pu_)e)Yj|cWD7*thU2VD-kcS)%U5d9 z41v6Ou|uV2`@`)jOjPpeD@%pN>Sa%Cs-zDIpGB)28jN}5CHGQC$!$(XZQIPawLo(g zCa2C4oqcCTH*1pmH^(sxX9ukz&4J{PvX1-~hDh95KAPoPg*05O&@ER(!{-DJvYn^2 z3-zwjGJ1nkd+q}R1MlCzukU%fFW1PuxRbnQR3I)v z&v*5q^ZF)}W@DE{Nh&AV4I%S&oU-7=Y_vZLT9D=~QLS8#s9MQgYF=GvSfMCedm7>l zk+5xh-t;N5EsW#ExXC<4%+Y4;wt_l^lO3y4+t<4|e@XaV{(x zgahIr+2E&=pixoGJz5_)FLEhr*+^>gmN&b1sQsK{M-?+U*eDV1TV=^3KH5enY8Q8J zUCs%X9l$mwi26*3Ulrn#3aT#jB#%`j8JcTR+A$l@Tb(oD{s7wZc-j6=EI`SZR<_kqZa z+^S#U(#-PFFY9(r$P^Cu+vnvz=sJbY)92woqc^|Z97mLSoGhZ_u^Qx2R;T8U4N`=v zo^|qt{K9dySC|(V?6#XCwO2B%IgT9IQh+3@ma%E(i8-&f+X}(2Sb0!pJc=wjYVpj| zr{x^k{ljNJk;SyZbua#^@L|q~G?A;GdAeU#-$&ENYQKBK(ux->Uz_@3gNo~?BuwV8 zdHK}7v%U`ECHc&0X>kLVWo_)0y8k^$mSJ!28B5UH@~`)g@)qA(CUkeO=0$39D>prj zN%SyH?|C(nZak{1nZ8Etu`O3s<5{SDHwEw7h>5ZzDI2Zzkv4N^A=0jL!gGb>T%(j< zTW&>G$(-dQ~5@+A58IAdti;Ahq1H=^@3BAHl3FMz3(?c~jXO z+){qxqKGtJcK)VuqN&(w1InDoBdnd*%rlIu_II>-@87e@TP=y;Y<8>GJy>q2&3$L& zMxI+hyE}e=RBAzJA*#Lj?zv}8>tH!nx&r3LtTX9;yb?%eh=Xqm?SS2xhAVK8i0Sw45|X!fBVL{eBGP4E*68=e^jgPfrEIWix_pR)pb@k1d}tLi?1V z0$#^+*@ADnA1}tE6+#A$mq%61Lmd(fLO_(BCN=9zqoj|b-J^<}UOFx2M$TMHkMpYx zMg+U@yRyGL6EcU3woQtMOQ}9jeJSh@m5rc!(l1%iQA9kV(M#A%2&0o@(rX_0I}-Lu zDPSSHA-b-*sbTNamJu*A1y6o2j7e8REj^azDM!m7zId~4oAV1 z17SkQ9Ze1tF4|SO$DRQy2{XfRQu`J+>EyQ@d!6x!xA{G~!_=l9F_L;nk<44TvV1Gq zOZe5aG1i}yH8DTKr5n%Ve$)u< zXPoga$UK7=xZo(%Aioq_SRz#n()hc6+uVwrGA;l3IJ!jJ5>?6I)R6w3POK24PO%GQ8Wq#4wKm zY*E1$L%+vFI>tFw9Qj7WkDZ;JH8uF#-LIIw;A9=xfIah1WsvB%_1?7QV5I3T@w0+G zLQ*%0RV9|U)$;`Nw~Xf1WXx2?pF9QgaY=EBNrwvf$ROYxD!q05b+@jvYlcdqycmI` z`#LH@?PzZ#dN4{Fq(yU5rYdwBr{ItyGOA(v{)C^cfhRj2(dC!bJ&iMmqAl8}u4WKn zi}v&kjhkAk)uJf+##Yh4PpWyfbbDCo&E@U%`48m3y~~;pK5ld2*dIv@wlwx+^+K2w z|J>Q8e#w4e9eVefRcPb7#ig29usBSz7#Vt{`aksE(kk zDe9jSmU;>qsL}1ER@MLy<=aoY8bYX{o+JLbiRvcf#dJO_rw*p;@6ALrr>F!kKXq1{;t@n z*zpMw1%G0_oTi_5V+*hFXk=JpTW;WRU}bfKBCLrbx}%o7=7(Tep?4Rk-5Hoa zq5{rU2k-Q|aPDHD{$4&TBzq+FuLcHhkz8y!_WRm$lzc*Zdt2MH+pntqCry!eP2P5u z4jC>X#u=`a|=FL58-q@ng z`%l{Q^vwi+vMf{3(6}_|C{Q+&KOlh z*STFtV2x)RwrEs_qAe7@y@O%NzAKN4MKhiyeKNW35+{z^;?>z(W_n&E>$XPDQm5H9 zyZ+#d2lD^myj@Y$RL9cf@Ol%6(@!)z#V}dX9pSb zWV0GOTuSP&N@G2&{w+QuwENxn6^(i<+s$ffomtxG@x(49VYpA?8g%i@1-z;uG6SPS z;Kn-K>b;PExK8Mb<_W$Ie(Iz>6+ugR-s{mZeARMK18ui7BL=;wu(Y7c2(=T%-kIEO4BKU$4E&qA-fev*SSbnw26 zgW|p^={U;5u2wsN#OQR(m5N1asw1hEo^>0`e`|JKi9T8Z5<=_omeetCBV?=Gx6)51 z>`SjxBIQnr(dudjR=qBC8MF)CPt&5S8fi|SHjcWS4>7+G@L!rATbVK$*&RqmQc{FS zoj+ghR5{*sfRf=QYa4!x0^P42>W>nyJ~BfoawL9PcNiyVT7SpW(?EfG1+BOH;0YD# zUF*qL>j#(mQ4-rRLaQm{GW9hCO#OysJ;P00zmt1b*1ag^m*AX|V#~a-k3qZ@ z9{yeNvhv=NFL&t`M}u*h);;ezqkW>i_I6hSZRl-;@&kvPG@dGJCkg@NN)ertf-cSo z;wh(z?k~jjtVUCRoqqC_ZO&kORjm%KdI~&KdA_Ar8jhj3E|(+0-{d>#^TxbzOE9Wi z{u5+PH7RwIxR}~VF)gvn(3pHt;yPg^TI}x`7?CI?f8{T=rK`7G>C?Ay>xK!N8U)JRJ`Mt^F(-TTx5jR-93Y0{p zOlQyC&&&+vQ<^e`V)_~XHeU7S&@lxokM6XTHZ`Mx#Q8Jl!hQza7D+my7bP=>TuSw! 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