結果

問題 No.2602 Real Collider
ユーザー to-omerto-omer
提出日時 2024-01-13 14:39:11
言語 Rust
(1.77.0)
結果
WA  
実行時間 -
コード長 30,989 bytes
コンパイル時間 1,230 ms
コンパイル使用メモリ 175,852 KB
実行使用メモリ 22,468 KB
最終ジャッジ日時 2024-01-13 14:39:25
合計ジャッジ時間 13,107 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 5 ms
6,676 KB
testcase_01 AC 4 ms
6,676 KB
testcase_02 AC 3 ms
6,676 KB
testcase_03 AC 4 ms
6,676 KB
testcase_04 WA -
testcase_05 AC 4 ms
6,676 KB
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 AC 145 ms
9,092 KB
testcase_12 AC 78 ms
11,252 KB
testcase_13 AC 40 ms
6,676 KB
testcase_14 AC 87 ms
12,052 KB
testcase_15 WA -
testcase_16 AC 167 ms
10,292 KB
testcase_17 AC 193 ms
11,232 KB
testcase_18 AC 57 ms
8,532 KB
testcase_19 AC 69 ms
9,948 KB
testcase_20 AC 196 ms
13,088 KB
testcase_21 AC 56 ms
8,108 KB
testcase_22 AC 64 ms
9,560 KB
testcase_23 AC 42 ms
6,884 KB
testcase_24 AC 63 ms
9,044 KB
testcase_25 AC 67 ms
9,540 KB
testcase_26 AC 94 ms
7,308 KB
testcase_27 AC 76 ms
10,628 KB
testcase_28 AC 152 ms
11,116 KB
testcase_29 AC 66 ms
9,472 KB
testcase_30 AC 73 ms
9,932 KB
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 AC 156 ms
10,532 KB
testcase_35 WA -
testcase_36 AC 91 ms
7,040 KB
testcase_37 WA -
testcase_38 AC 198 ms
11,520 KB
testcase_39 WA -
testcase_40 WA -
testcase_41 WA -
testcase_42 AC 161 ms
9,980 KB
testcase_43 AC 150 ms
10,272 KB
testcase_44 WA -
testcase_45 AC 131 ms
8,496 KB
testcase_46 WA -
testcase_47 WA -
testcase_48 AC 144 ms
9,012 KB
testcase_49 WA -
testcase_50 AC 97 ms
6,676 KB
testcase_51 WA -
testcase_52 AC 69 ms
6,676 KB
testcase_53 WA -
testcase_54 AC 134 ms
8,512 KB
testcase_55 AC 150 ms
9,404 KB
testcase_56 WA -
testcase_57 AC 141 ms
8,640 KB
testcase_58 AC 55 ms
6,676 KB
testcase_59 WA -
testcase_60 AC 126 ms
9,416 KB
testcase_61 AC 105 ms
7,520 KB
testcase_62 AC 167 ms
10,720 KB
testcase_63 AC 186 ms
11,968 KB
testcase_64 WA -
testcase_65 AC 110 ms
7,432 KB
testcase_66 WA -
testcase_67 AC 78 ms
6,676 KB
testcase_68 AC 98 ms
6,784 KB
testcase_69 AC 66 ms
6,676 KB
testcase_70 AC 83 ms
6,676 KB
testcase_71 WA -
testcase_72 AC 167 ms
10,284 KB
testcase_73 AC 140 ms
8,664 KB
testcase_74 WA -
testcase_75 AC 181 ms
11,248 KB
testcase_76 WA -
testcase_77 AC 169 ms
10,288 KB
testcase_78 WA -
testcase_79 AC 167 ms
10,756 KB
testcase_80 AC 192 ms
12,280 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

code!{
pub fn solve() {
    crate::prepare!();
    sc!(n, p: [P; const 3], q: [P; n]);
    let p = p.map(|p| Complex::new(Rational::new(p.re, 1), Rational::new(p.im, 1)));
    let q: Vec<_> = q
        .into_iter()
        .map(|p| Complex::new(Rational::new(p.re, 1), Rational::new(p.im, 1)))
        .collect();
    let mut mat = Matrix::<Rational<i128>>::zeros((2, 2));
    let mut b = vec![Rational::new(0, 1); 2];
    for i in 0..2 {
        let a = p[i] - p[2];
        let m = (p[i] + p[2]) / Rational::new(2, 1);
        mat[i][0] = a.re;
        mat[i][1] = a.im;
        b[i] = m.re * a.re + m.im * a.im;
    }
    let mut cs = vec![];
    cs.extend(
        mat.solve_system_of_linear_equations(&b)
            .map(|c| Complex::new(c[0], c[1])),
    );
    for i in 0..3 {
        cs.push((p[i] + p[(i + 1) % 3]) / Rational::new(2, 1));
    }
    let c = cs
        .into_iter()
        .min_by_key(|c| p.iter().map(|&p| (p - c).norm()).into_iter().max().unwrap())
        .unwrap();
    let r2 = p.map(|p| (p - c).norm()).into_iter().max().unwrap();
    for q in q {
        let ans = (q - c).norm() <= r2;
        pp!(if ans { "Yes" } else { "No" });
    }
}
type P = Complex<i128>;
}
fn main()->std::io::Result<()>{use std::{env::temp_dir,fs::File,io::Write,process::{exit,Command}};let e=temp_dir().join("bin181C8F26");let mut b=Vec::with_capacity(B.len()*8/6);let mut x=0;let mut t=vec![64;256];for i in 0..64{t[b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"[i]as usize]=i as u8;}for(i,c)in B.iter().map(|&c|t[c as usize]).filter(|&c|c<64).enumerate(){x=match i%4{0=>c<<2,1=>{b.push(x|c>>4);c<<4}2=>{b.push(x|c>>2);c<<6}_=>{b.push(x|c);0}}}Write::write_all(&mut File::create(&e)?,&b)?;#[cfg(unix)]std::fs::set_permissions(&e,std::os::unix::fs::PermissionsExt::from_mode(0o755))?;exit(Command::new(&e).status()?.code().unwrap())}#[macro_export]macro_rules!code{($($t:tt)*)=>{}}const B:&[u8]=b"f0VMRgIBAQAAAAAAAAAAAAMAPgABAAAAoD8AAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAAAAAAAAEAAAAFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANFIAAAAAAAA0UgAAAAAAAAAQAAAAAAAAAQAAAAYAAAAAAAAAAAAAAABgAAAAAAAAAGAAAAAAAAAAAAAAAAAAALhXAAAAAAAAABAAAAAAAABR5XRkBgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAFIKXiZVUFghnBINFgAAAAAQkQAAEJEAAOACAACyAAAADgAAABoDAD+RRYRoPYmm2orhgzJO2QdIlT1uIJnRMHxUo1WlvmBVyblz+P1xaOexc4/UKbBG54tjZrr+VRrk7hyUluaIMev3ZXAMmRUvD7qFb6ltS5CJV7FZtsMIyQEa19GAmyJFSUjOx29DW1eG4dEnBbuulgLBq1AcUzoZCUC5aPRjdCkbQojDM77mQUvyU7ovh6ht3Rcntltv8mZwMSJfeCN5ztW5h7q4zAt0/Haqh/+QB8KAEwAA3QUAAA4AAAAaAwAXmwkmM3GmCYALHTJPNRq/liYhnSgPFX2WO3CstFJ6cOGjPUA2Zz5O6JhDXYrrsXG+CmAYENwdtGb8Nb59pcXo8VWh9gMiInoWvmg2CVJv7ZxQTOmW2whnLoAUxNwEpa6WxlGM7vGRPCGzs6rkwLo5y9iFuz4qchjSlpqeEyM3TAOF7uVdrtwLacKSZPZCrkr3JFoWOT2n0ZPBUEBHZibJMIK8bW1qWHQwcQQDudb98OWAx6wlKPWKefSorGe6tp2vnFC0C4TnKehK63xap5uRodlL6UwNCN8QQWLzz/JIsFMKaIYYpCk/mU9DfX71FbOcKgBYBioD6o35fHBM+5VL5p1wh21ZsNBbtntLiuYMKuMl44ULf3yYHkR8WPQqsCXlSDWE2G0J/pnBgoiwNDZ8kGjPjyLGj8RZMld0kbgsqb/IZrlsf+PsuiH95GWkOGValUtGTmlF63/kL6OaGo+dIt33izMTWnIRr8lsP7ZEJ2iDMRjmSR2ivuFpbu1emN+v4YfE2/f5hoxEIvAssgS31K9dbrScH1mPCR7CBMlH7yFXpLvJu57jb6a7apTNywH2OVx6cEDUtXeH+dMd8E9EoOPdRdD7rR3+L8RpaXuUXYbsI006iyZFCXZhvU3WslgbvHu6jNZ4PMMRf8CHt0/b18mbzGUe8lmYQBVIzYwK/68kLTPSR4dEMGDc/FH809aRBhdRoYbcLv+OLXX5Qlb26rhnj3XIoh9ilhbqfZuwZtkYfOj3gTIqza5BkDJV4bp/iDXTXiAS1JLiAblkl5yVXwH4ibg+hJwvqG4VICbLrcgr+jR4yraMYLuC0H59HmOtoN7yj/0NSAj2/6czT4NE+aDH8EoYVDGjZl1+vFaIPh06Nz/cnu7LmZbIMJuWcluHwFN7CN7Kt2kSQSmNqPkPyThzO+o1c5N8V35vIHjDvGu3Z8tKwYIuhn/got/l15RQ9i0iGPHTWyQflWxmU14zh4PDRynMQA3qSeS6Lb00o0yAT/nxPlCWF47blyaXbq8gIJLkz3Dj9o/sVeZeYqjlYcjfwt1VFIrj9ayM2NirLPBcl27PB3kDUsvFfueAs/EeLUehc6U6Kj2LO5wBV2s7vxo+6I4UWiBwFzEExvqjY7qZrMU1aVYGpbXx4+mUyUrLPZ7g8EFLHCajoJouGtDNMpENYDjFM9UzQGj8pJI/f/FVvomN2Bc8Yu8OpUj9uTI2a0WejuRBOQiB/mT9S6ODwy2o88AipBUW8EtjSBmRPWM5ixQ+GeeIlYXl8+qYQ2KgSy9O+PKQ52OvWA0px5K3edWFmNhrgDlNrghuM6VAubD3DwM9P6/Af61Wv0LItc5ozL4US3s91WewnB1hvVZNosoi2B4F4YVyDO+6MaEfu1VDVMPVlEN9BDRm3vfxw5lNowTg7WPSe3jUIU2DXEdY66127umXV+28AC+8pLJ/n4oJFa08LVXcQkN4NJKImJWkAGW6Lf8iDyFF8moHsDa6v4uC9hfaQjF803PNRrxs17eycBYHCbjj64ZyLIFhRifjNG7uanqXYGFxokNYDohTIClHRtQD5T6fHL15MeDmyA4THak3jJWMaSgVeuCzCaXGYki0K/5VZ6t4LQnIZtVy5YhIMQhiFpbl8SoTUOIDgnwx1XE9tBaZyHKiQowcXNLOw6jBwzsy2fdh0SJaHOd2/vukKN46q6+Lqmfnij4IPBLtnWyTFRHLTDXEvaHvJ9Kb0+BYB9uRiT2Hj+Ro6WB2ZdmOVYCKet35tscY0hVX01BPGxrAt39Clr2iop790HZE+9nE5OP61DehLuK0p4TW22yXxy+ZvcEsjddMnp3fkBaZjV4erz1pbJWM/mYWXeiZ9WqA3BQQa3FUiASObw9ruC494jiIbfFCrSRNrAct2IOHMZsS+LliQ0B4OioJ+VIPd1krbkG/bKl3aHzCBN3UGzLC5A5q/xEAv5Pfy/hLUYFXAZxbcizYq2n3VQuhRMSr7aFknfD5FnoAPWsAAMY2AAAOSQUAGgMAeYO/sSW+IOcKMJhXEleInIp4AFDDcF7ex6eL8PDVntDhSFJ3hlX7wxxDQNRqQEYCgOChY7CqbDbVY3wJ5SzLqusU9ItIIBVwBwfiaYbIb8nkl7dWwKrIn2ljBYhq8dlCC2CWy7T8fEwlb74qchspN3OM8M2v3f595dVisQ0Qnk4d2Jky+MP/mD5MtYnHGbeAFT7JDhGWtafdnm0JoKYB+HEecrI+h3ylsTjv916yxVAhnWqTvGaECDUwb7RoCK11PEVDp6WhYPH/dmnlz8iMcbrkafGWHAcCguNC6/6Kv092nbwDpD2xNam6tBUmevaTfnf6GLR45fT1hup7evFafaHmUVbkZpypTKOEf2WkrVagS6J05dyhP+Dv0hbNcHHhzb8R9g8MHLYCijCZXxp5zlhYlmlrkFWByFxvweROx2YnrIAfTY7fDR8njilraz/mHoOW46k+Vl2rDuO68QfAQno1NbsBT2jkFBp1UTMf2qrnz4LdfWozEUFszGiAYXPzsfaUnGqFRk0CnT4Zwp1VnUO2er8uS2wTP7arQyb3UrZc9e7sf/gVBSYY8D9QRqQS/gDJL5/JQk4+MVYh/nwU3gs3rKju1mU+VVxnZbu7mH9uE1TqMxgOM0vFNxcEHBr8Y201YGmj/1xOxrQ5riB9vwHfwYRQrJRnuwV9QIJlaDAAT8bW6XZRfo9F3VlYJzMdo6zJfPg9vbhzsnwtPkEWQKT1Ubxi46EkctwJPTyKvXNJEpHkw52GjZ7Ul430jqNZhcpIhtf4uhR7m/B9YQTVqAASat6t/QG5Dndyed4LdZTWUmOOHKjp2ePePeSvhPENQCmcnR+JFQ5QeKUji+yYgN5HkZY0PIzsyGpRgS/h9Ou2n0LqOjcjEaO3nIjcwUIsH5sBMhBuAB3mZClb2rrA7Z7UYBO7kYAxLDsFi8V2sRqf3mS5rNLCAZiL8m+uRN7SI+AOCmJsJWBZhdAKQdmxMTyAtPQp+6OvS1eMGc8NrUS0ts+oVoHQmaSaPIHU7sP0LlIj2/A16hmeDQ1A3JGNeC2LMEYSP0fQJboDu/9FuEpOHxOwnOS9zH28V+E9TYEk2jE3GkgVMrKsY5nZKJET0H4WYkqH2LlCVgThUhZj9x28QnwzLmZELcfyr9TBzOXArB7aYJMHeSjjwzUwPr5PWUCLWv4L1hVXkPEL6/7469P+dgLRFBGEkCPv7/i2IXjCI9zALV4NxlRUnWUeSL4q15hOz8m1ONNSz94o1jB9lmOTqNUjpxPGTLYRcpvYmDbCNmTn6b/PAKXt8ssa218EaWuo0qL6bQKxKL1DVgDB0o46l2KM/3AmiEgbPVFhs7PNQ4V/9CG75caJHeYvmbB63tBquEJh1ouwf8P82/PiT/tmLzlMR66ynqgo2aBBGGJitdi/5g5W/fh8AVxtPsT7hKT+ewwEcQrP1REgIlYoOQoePt3zFm0/7PMEic4vcQaQyiQlM51Im7yrT5Wn7DgkhVlpdWyMsxb2mfmOrwAVjaJInkiU00UpF6eQPSiEdvIOyigh85i/TNGQ1owbLif63R1Awvt7OGH2f/9j6jEtVnfpXFWve6yk0v/eHlkHIJG12YnDy2Xj6GdaSF9LNcSF1uTnFD5Q9lr3glPrAXY7noY8KlMJkqceUis9JeS24P/lqcn/IV2WJX/Cmnf9EdSR9uT4/yT1nrfDXi8aS3SUq6GGKusKRRVwqswmZ/bLFUxAxY7mp/KhKa4YWNXoFsH2fCCflaIvjUtozk3erkqj3hmrlQCs9c6syCEYAS/fqpCL0xnN7Lh56dgxyvqNxJ1GoyCtEMipjQO4b7zXcuCToSn8nw/6+aP/9NrHaTOvyVBVBd0L1aIC7FoJrfeXm6tToqZAKAlG/uezF18Uv5438ahTOVpo5cgB4kYQimc7kEXwIkwomOK0SnGgRtaTMcor+9fGNoDvrE8d6DuXzbNxcCeubk/MQVIZs6aMMnzkkNZuTIcMxhv0h/S0N58JqndFCCbFXX/4DsWh4yTOSCsX8toAwmESLPECXsRCEAu/Ekhs/yC5kL1ZvAqu7TNKHnTNBTbsaRAqklFBzjLTut2/CEDsQavX5PGf+lvMUl17tNAxvQGSwIBUASgO2/DXAP8tbdkjtGLYbwCAVSZHNID1lYeof2yvoIctRzZPL35qqr7ynJTbBDPQOP9M8YAt6bpHMMmEXQklZDBKGuJCUcjfWQsqdPI7ceL7gpI+OxPY3gcqn7qtq11QQjJC+arcSSeXt19sILoxTB7pz7q623zCGwk7DmZFb2wd8Bo6a8m3kS8dhMw36Co72C6qOU65fMAhi/Ix81SDjFNFY253HF4qYfOxvy7FhnSOsfKks01ipie4vt0CnffsC/+sCgsgB8aM2VYal1FuArKVi4bAKJEQSHXarbTpjzrwkUp6orSMPQ1mdYhjsYJSHQqfeZI+Sc3Ktug5+UxLtePTZ2Q7jtS4VRHrfc0++S8BnvOyWXhU8clOrKNRPzkA71QTkysMY8kcq9QEtBw9XiYrx6YFmx0dhhaueFLjbtQVN19pHI9VYsMVGc9VUtqGp1bG49o11dTU2c/P8rKhFZ4Zxi5+bCZkhJviTfZqbm2RdbzTVU35NVaoBIGFcwxO60Kdz2dB2vxSAsf8qDx+SDYMs14nZdUprWxFnvIZIOkEmWGQwCFuaogYz0noPXBIU6sk+vhCHwKc/GWeBNQ2aU6rbMEohBJJSjKbCbpc1bNx4lz3vsmbhZtF96ies6Y852YiWMMvIIBceNCOskogeQX3I3XyczmnezOZe9pJo03UKvXskB9jreIa0WOpLbJASkAerWx7fnt9qYQtlPD3RkPP4F5GegptVT255+NuMaaRcCHkmA3UN8iuREdKIRG+HsbMX2IbV5Mo4Npw2fce+yYCWAqzLYJL7/74QUj+PNvy9Mn2NGpZvk3hq3MTydLA+Y9TH5SXSvJ2NwNmZlnusNPKQ8hCAPwyHArWATZZZGRPO7MAPwdTMTQkZqlVEEKkBC8z6dcuZQ2NxTAUtHRCKd20tFU0wY6nPNP5i0O4BU+Y0YEmLYQZnNYx7xwhvZpGbzY9imEXXSiuWGbSm+TwJBVEp5rTbl13v+J+y2TMfUlCPVDfCaOUefllt/UrspQ9ikh2AUjfr+odniY3Ng+bscFD7/9dTpi6HwLnlpsQHh6QaqWhE5B2LimV0hHnmMlVz0S0j2//8DL4t82WZeRCp2ECTM5NU8/EMz9MGdD4DAPpmmqOE4ep8gqp8wJ0qjtgwoGy6K+UGHkOGatqnQmGAI9KhdmLlTYffzeGc2X1wP2xFoGYPmLedznVTKQj4EoO5UsBkfun4ghuhUGk9k+Xtzt3KnxvdVAucooWHu6hwYB7Nm1QqAEZP2/09n0wxGlUNrkSRnxL2//JYpP34gMQS4kVYQLeViC2Zwj+Ao75Na44NrqRYf88sUinB21Y7gQi7tR/mCh+A59MyN+FQdHabU6UdCfoqWYpTmi/8GKNNLc0L12UEMyyGEsTCllZR5LO/9VyQT98obl9IZ3sL7jaa2J/C4F2ler+/iWSkSvCHTPVZy2xpCrDdWr3R7UgcRqKGpJQlryZ9G9yLlZmuzkK63tGFEu5kkI4niwDJxlW/kd62/fUAFYuFl0tsURA1cXgjHrxCU1Ttmb18QGSGvZ0FGXokWemIp5NjQtGmnR6RbV+c1JsobAJTQsCJkYnsmJ9mpOFHI/riZlELqVt+6dVFlMxD3uer3DWs2MfoUUgpvbFXJnDwMvpwwsG8k3U1uwiIEEpzAiFTdI8jvPDw2zL0mQpD8Hp01Nor75sNS4/DGNHebCT9JKR6sGO2Y/6FZ5c54QnRZtv3C3MRIu/oIH/LbOhQguXwai/1PYUQaMAOGQeb3S4QNcR/0H0lzsCQo2scxUZGf4IhItNTxO+bSa7uhoY/M8kMHyMwVQRT9kGgeTl+M/OYnNETtfytP49q/MLaMog7vCZEbYPknXbgBAHh2LEHn1jkfA0VMUmd7FhkpBg0apBCiW/mNNqHrqe9CafrG3M7h1zIaKPpN1nlnZWQC/W/gAf/QsFBCCSZ8pjblncFctzUIFdRePVHHBvS1jXNG5OuAdetR5Al85N/ExEqysbRCQwDVIEQInjjR/zu0bEheDOw5dIio30sFDR59SvbaTN3pfT66AGIHa02cR2adRHAFcbYfbwqDlEiBCOYqJd2gdzioVv2GjFqthqb1P7yhr4RLg+rGdtqJJjkIG2RUUoEy80czch9uvNYxXL19SXp1oePQMwBSm2iNVRPfw8UOm+EWMmhdXDc6wUncmDIlNgqlFr7h0cVARdCO9iAeoZ+EBuc0MffeWNgFa4wWZ1JRS8aDPPS0aplDovbEjrDA/DNLBHJ/6lCYkcwVd3173AqHEUIgf6P63mFeGNvfq9fDRpjTentp5t3AP6EnFZGTO8ty5V4H8ymKeqvmAop4xvKhEHbRKxUEDg4zwpikrRfdx7RrYjRJnqL9nUEWzkoYq43z4VGoa7+NJ9bkXp4Obw85EtIz15silsCJ5Xd6Z1bsRhYrF3K6dpOiKrmDK2759pNF50kxFHOOcMGvmzQG2RbZ5+9NwhqqPWdZL9yG0IoB5CaDDWFie6dBZxGSCO0Jl9axpnybYFYzRY5B46VJBnCwTw9hi4JTpsIWkhzw63w7fT2AkHBYLcC4SMR2TPYjyN8bC/SPjP0VTltGs+nA1A1eatiXDddGvR5ibfF2b0teU0E/p7Oo5ZJjfp/BDdzhUtlb+Fiknw8MDo4gOkLjdO8pbYX/3BFegV5dpga7Rgx9mKsSXwgsWY4dg8A/zj8fJ3ITOW98RzWyoeiXYohPE/8HfsYpveKn2/mU9NSnt5IR6VXhNo6uEpEJGY0mESEhvYj014jJ9TP4dqQeSeeZQCsb9zy29YXxOTRHGRjPJ7sWn7wSSEfPocK5U94ZYZ/OqWAB+pxCe+9ZCP9AUkhtcp+j53KwXng8YkqwomJan0IjGf6ElakbPYV3dJ4fD1fIV7JtkyPqRlFgBzfD4khDoKmfFfkfD8ERQn1kjYs6LMhGu1hUbOrOydVnW0pQrWPetcMcQvbFmeC9IwSlCBgPWe1jhbkP9oCo168bD/F0TogFIZE72kzZWMpDuuRDp7m4FDblLvaAJ7zCOHmHXI6Ar5YeNrjs/dYYhdvxfEkFwaSukiBni5SUloD95Xr1Ql6H0emYf0NuggDjDjKS/AmQbaBchCrWIk6+tbWo9ufEOvucRtLpe8Pn4A2zC0O6l6LsJ5jOHN3zEOnPDVAbx7qyGdV0N6fAW0GFM8eswcQE5Ibg+tmKbKWT+Cu2+BiKsdwoln4yIJVuZwPUDGb+2VDL3MwW6OqUjrf43h/+M0XjOg6GDEMe0t77nLijiQtznVPcMTRZdK63IxBu+r89+ERZLlVvfSq9Wkn93ltHN35U4fACmvntPT6Nz3T/ScKOtTuVCQJvaAEgHe788I2V4AYrNrrDNe1OV0259My4erLoMIwl3hKwusCIid4Qm4DLFb0eaJjb/76s5NHGvuqwlBgqz4fDPH/TlScwjPNqtUQ0PnXIVELFfBagvMudwjIkuqE77mGwBibknOyyoiVaFJe/Kn/vtezvks1BcX0gWfZmLRKw5q66MII6FJw6Ff3FAnbmMFmPVTA+d3oFR8R8X7OmGtBQrxVPyPzLzwkpSYvotpx2f3sIPGet0rExL7EiGM20Q83tseba+dIHfZAQ8AWWtiTsw8n5MyNUH3s2tI7QKLS6+INuiw41499/4X6Kg2fum6Gbwn97SAZWHnyqRGpRQS42XCKOec1XSkxy4emsLfzuv0ifMDjXKxgMN6+yrO6JKdRKXmJpCZ26saRifyHi76egJo/tFA7fC/2pTO8BdCa9Hiy+3pFvB7immiOOqpmeRswhODKHSK7YHzXG1xAP7Tt7q5r6xhEWJct3AF2wYvdBNzvgIosjK33cs/m8iHtHtm19fM1e3bueqEvyXX06IdZvHFAsWWh0EfLunRK+SGpiIEdQodi3vwJu5gQUUI2r5i4cMdhyTssY+/7dpH/igSTi5OJ0BdkcmMmzDFR9x4F7O5IzEhX8dWERb2rHFhvjO4XKSDhWjmmdb43g1daB7/ZzW4nKl+lftLbD5UAFgA4A+u8g43hryRYTumdllV2nbVnqonvoQ83NO16fMe1WjZLR10m9JtuwLdTHosfdQoqmXmvYSc/O1C+ACJhiDXQyKRW2GGPTazpLLEcjMQV4ueNYyAN7sEhFyXplo3e3XHXyA5a/Dd3lL107XzpvLLyDPo02g/S0mXpyuWbr/hm6N4++NF2wonYlhgBkywuDMAC89IlUhli1QQvONogtBOSfOC5mfRlVsrCM9w3kQExqkNzCc5CDsKQZybcXw9I3boODZj/8Bt+vYE6Y5WX9VAWiDugsJCY50E9lnGp2WcWM9VgR5uZoEiMCP6JVpwqOKaIX0pKf2QUmU7lta1G03X0TADfkOPAPMBoJu1tYGp7cfWa9hP3NJmySjM65Ggl+O892+Z3SD0tYpigKKYd9PaqKKcF6IL3fmFSineCs072SdQnIQREV0e+Jb606iG3WXeszTJ7Jq0lhCmrh3t/pfwUBYUHQ9xMXg4gMCvJGRPWaU2LKq1jI/CKmbZ/LPcSc7sMZX2NvtrlSkUynWps/FIZn1jwT+24d+j2Cs+D9kenADm8xoKh4tytgXABILLaDjXZZZnH5BfN7KcSt65+x+9bwVKU3S5IFmo7MxCroU32B99pQUBNY9BpvyMotxULkncs/uqSI8tRlQ6CPMA0YNLAOCWBx+Egqds1dx3hkWA5/sYM1mE21FhT+aPbOtqGDsVPD50k2ygrFLzdM2sW4Zp5P8n5Pn/qaLi6M41Lz0fVg3jVuqOP4mtsuN7VFNBGHtXD9v6vPOj0y+PyubUEjj7rTljGnKYeJ7ufONXAp31v1YFZoWyICMauaDq1L5qVY8/DrxMJayi+L6pCyv2M4mLbGcojgT1Xo0o/BpBUCXmJmTNj4gvUsyHLKLbziJEM3kyE8WZ8rX4RghsdzU5Svov3RTP9POjHgnwgajO1KBlawd+nF0sdH3qwq8leD3IkIZJmdoMCRhQeLNOUT8I6kHIRHucHHQTd917VcJVaOaXYvlCl45ffDh2oZ1m/A+1Hi3AL8cUL6Hv5x9wFfRMQU2SAtyqUCA1JkbyYhT9MS7rYHHkWsnjoNnidKx/9URpgLpeUwKJBrhLME0Yqylta15deiU9dTk5qe4X/hrRgOTqI19rJSZWqeQlvBAL+9FcJE6P3ZXt0KpxmQu5eHPSl8/ZCuj/fnRi8OoGFtM6WpPDRfTtzdFdL2729ctLJ8HoaPH4LjyjlY/8uoXfIcugCRILsMYubxrhbkaweaWOy6Lk3e/gubSxwEKe9iFltGVFRpU1quujlfWDHOdeSEDd85Y9AQ9FG9s5WWtusy/rG2nO87J0ZIHd35ahkskYorcV2veCIwDOH3yWd/IKoKtLmIm5Dz3GVGnIn2MUqq6Q4RVOfM/3ZXPneEyo39gyViPiQV3Z0AO3q4gagt8U8+blvUE5YwIQCkWTrrvKXFSKBAfk35rZnVVKbJdoFgNGeeTxsTSqMGPNIl7xstUcgVWJRjRP54ooo3lBHzBb86dFEttDs+W5ZIaJMvXw0l7iR5By+ZB62M4TrE+ZhE+W4q+Ev6e0z2Ofl+P41okpZdi6FyEMwSnhkI1prL4uz6UmAqBBf3Es+tpHVZqQ2aD2VMChGsZgQmXZNNg4g9pY4EqW9lxTfz4h/U6KKO9LVJ3izaTj8s3bPJYvUwfyP9IGvXiiIEf/azwt7TFisFynCBv4ypELoJtSW7NhA7jdJGGh8NWm4vbD3dLJBnCHLOSGVmaG24idUgXLULK7ZdahluJjB79AVdq3t6BEd9Dwnq3wF+iQKDJkbalbkSpdqKNIXaMYWxEs4t5lsYLrDN1fObRgktAsDror1KutOZfUVhj6PTMyl6CShgxBXtY+ZrIBwfcE1SrtB2IzmlwIHVBCt+p3p1rUgS4OulKR1CPFNOYYWj8q7STI1m0fAoxf/KdcpIyQzkVGuTf8bIlOeRZ7doMRCNbGdvGuoeydDZmcBDXLF1USG2oish/OIA3SD5PZbocHUmx76bg/qRYonnHUFd9ZB4IQLI+PWdfBcef74xR7eQikrvcdRfu5OIUnOm2SlPsFIqJwmztwW+6oixeaM1/i5zxKUt1fnBfTs9dPYS55mS3Z8O85uLlzYNLN03Yd3k7mnI87S+QWCE1+oRTvCMKkw1+5JOo29YWaz1UbOIADZGehDOl+CDPepAsvh+eN+AW+lSXpvzmkt5jh0eWRiphMop/8R5ODIADpLlvn1oNoqHJv5Ho6zZAMu84ZpYDrgOcB+VuN0btWOi/n67M8bm8e+nUrkC4Fv4KNrW6fTBPiSgY0vfg0hfvU4eqHveWICHWE92FFJdeqIbAyxgOgmkYUwp+fPPiOFy7aKmQrXYJAdnaz4bg2zsnf96c1sD0o0B+MFXA3c+wxtBXKmu4PP2TqgIbFcXEWXUUe40aKJ9D9ZXpucDvlp6DT/mHachRd1YHxKcPDSBl0V+W81UZR7JGWC30jxfIlzEj6MmEhDXXy2bHU2umQbWx6xBWAyt4bijeFDfGeeOMuEx7MtTpsYi9UIV7VJ/vi9aNdmYtOzGSx82l88EGEoLI1Z9clKQ1APPQubLcV0xLuquyr0llgnyERIif/ELy3tiBnRsre5MwApbED2VszMIBG4AxePnFSvlVKJkk32p9qvk1IaXdtdi5q4/5mhQ/WTA22zFCf6wtVu7G/9bLPrkZatwGJGVBAdlR0fceza02cv8IkxpW7FRYq+cF9jBnLYdJRm3ikGnFS9zzgTstUcVU4gHomUCF3ZsExIuhQSdlqEN/RCh3KTZ8CoER5mGO8JkI8vGm7CF52sofc3UYEr1hqXIiWqMFKuZMjnIlMyGfWYcb2cg67TZzzRAJIqIKVLlacnMhFWneVI2hvnR0Ea+TkJwskBoTF1Umt75IW6kCTjgiD96crrS0ABDufgGUiYE48+56lwBiBtcU2xmqE4xokjVyQWg2KSAJQotbnPLBdcOiS6QcL1XQjzUeic43sRRyiP6XaGsEkQTQ2xxlPEkHl0Yh8KzDOWXaFHh3+BjSHopRGfiuRZlo8SbYkDgfgwAKtBbRVGudCAfFc5AR2ESzYwf3RuoVb16wyNgB4zI2/Do8MdWGmmC3tyTEVaBCjyIjw8y4wR8NGL+GLbkliBUp3xcjO/45oOxEpham8jj5HLctImTrSyzDyzaCKJsDHx0UdhzwAULb2R7QVHqHoOeYuGxdUV7oE31ehbvY08NLNzRd2NnZnPfgaf4Vby0GuiqIPMKjtdWEN1zGx8EsWHW7XGRy45naCxYVEDv8N4jnwgL8YvZ4W1f/+Phk3q2iw28OXXKdZVqcqg+OskeBpe0OmgJMgMR8SDH+9DOXKrJQHvfS1GcsQazqOP6gtocBcM1qGeoamEvCXTcjaRdK5B9O6ha9jRSHX1g3yedi9dV4q82wBtERjAk8tBRAZg5BGZU2mauaB7U6tS3Pz6VkzDCn2EEcbE93x7+WAXY+WOluxMaOqKhe86QJuG10ZrItE04w/XSUeefzMOouOGb7WzEEREVjOz3cVOL+pbEGCdQKDR18dcwPmkObNsr/fCCmssmP+n7i4CSpyQxbrpUoaCbzPV5n+6omRu3UqkJoNQGFE+ocM6I+FIwhx7UEb3ZuMe4d82dkqCgUaQsJDebg51oUFMUYV7AMbpl/69du7BFB6x5YCy5vUtL99OlKNgmyqTcrvtADxr0xPsQSVWHuipsfJhu12xOE/kq2GgJE7ywheq+GNrEZupLQZb5AzEkYLaHu+fNZsA6fRsnAwY94N01iFguF7YMHG00+PtTjS41bcL1bTDnjrzsQ2lmGVBF4JEKCIEmC0AqYWik81hbdWGwdgoILqg5t8uLvwT6upus5b5Ta3hF2Xk2OFfahPmbxmY76ip1FutaVSC0c+t5nmJ0Qa3c+tlnAdSEpXgRAa6Cjcw3h5QRtDcZqHN1VdSPTZ1CP+9Ci4JTh0wY0+FVgGkIsk8QmPcGIEZ5QikN7OjyMqbW4Za5AsHe3qHXzPsYqYCFIK1V+LrrjRCXHKiLe3IUa9nE6suJXImeXq6F/9v9SMp5u5OsH72fMiaR4ydfn79BafQDtiOEonCLOb3h1E90x7Ke3FHrvGV4N4Pzb3yVg4mz58DcwaR5Cz3Grodx51Z86feNvVHHyZuusqo25HjWBp61rOFtD3LleM8h28E9e5pMNFQM5Hj4gNlRfsERoKlwvati46Qpk0w3EYs47j570Op2H1FbneSTLWyx6w23ZIWQ4CCQiJ9yyVsdaXeJaKxWdi+vZGxeI2Ok7Y7sDiy7VzYU9oP1qI+Jj496vD5ofj4KYJTxY8VuHQxWXk1bP7wJu7FVb9P7+lLZze37oy+plGE4EmJOO38GAisDkCgZ7FJvQQfl84TKNyVoMHkTXPtghcNq9AVLRsTd0kjqV0work8Ydls44uipMS/Le2hn7IywizA1xC1PXBjNuFO1s33rodrj7b1gHmHKpIXvAKChZqx9NOgVnpGQKlq21aRBI7nGMlWPcXLpNqFs9qjOkADXUeBvt7rzgyjYcxsCGSiiuIsI1bzXlRGA773oJOLMy0dQuSEcFA7rgW1/Rwfsev9fyc9m3R4CagFpOEXnkU+82xb12/XGTapyHKdKI43pidAg3A1aCmGoBiww+5lqHI/TQ+DQeNbyIk7ABN2ciBUyo7pYsBm2j8KokbhoO98hpLIjbZdeBvR7AKdE/QvIzfAupWkLPI0eXicYRdrI/Nr6bjYIG0Sm4EDiALUEJJaNZUAZdDuDBosZsPx/Hk8EZPLDIUgtcwHhNNCbJdWY2LJWR/8vf5X/IYgKBX25d5VjS5u0WCJRT8hI6+ZB9CERZnjcih7s3IN7aq3FqR8Yq7OE6NY8A8W+bjcP+WBtnlJFkm6hPJI/ClvHS+Yk5dKDo7vdcENvri8U4tsUa6c1jlrIXTc1E9A67ScpjojdLOXLgC2vR1sovQ/wWcY1P0uvlUF2pMnfVx55ake39oM3BpwT640Ghgf70MQ+RZ/iNME0Wd443QuF8HcKvVyZzZpTW7EpUphskYW3x9Bw+TjIXs+MYeVJgrFqUS9z8Cas2dHPo8ReF+AqMHD+l6UNLObmKx0lTOxXHpGaAs8r4U9hSevMlXuf0GwdQG7Srs87MhxReTqExoeotoxv0Y33NMqi93aqORD8GEViATUwWX0O/R9NZ5K7PxxCMy1FTeKKhyCia8iaYo6IfWs+XZ4LRqf3Z76zferM9hpExae6IjQzsvhIM8xZKpmWhW1oAG40v2AuLBwnMa99pKy5E/G9OxF64a5DZgvsc3bI/94NvuGkJKXnjwSkWshPNOxIOcE6rhxPoTA7XMwslvgPCU3OaJEZjep0nvM1y69V3tAmzi7sPkgi89bt1xOxWT6rfNg33zDxjwgZsB5jEScyV671sV7+oue/V8WfU5jv5Aua/HBGgODxhSeZr7JgXJwFhVJN9UktFT247+Csj07n7OrrEaRxC0QgAotG75Nis+jN0d5ZVewQ2hRAM6gZ6U8ugo7/fOcn6+Zt/05Om1eyjwW8pg5SEzoz/mYfE/8EPAfRuCuqtMD/GRwmXgKCXrEvBj+I+nlryEXdSeeYpIepPC7LSeqn4mobY93H9HouCoeHh/kpWauWQcG+y1vfC/QwL7YAoJ4M1q6z+fY/valbwhFbKcg+BwtUbpi3ZWwCcMHa8XIV5jl1QUOJ5eVumXXdztwuHzyilTBjLItiEHV+NVu2TtQArzDWc5qpJwJChThZklcjUatepSruwQcIclUiK4z60+DRzPfqnL7v9GrWk/bZXT5WmESIfpugziHP2X37FUCisr7BijY8v2j86To2FrwgKy0/Z1fbkniOdoyFzfoidDUWLRB9JzaRUEE3oxqnSEP2L2/YHfbw+FGKCXyHYt9v1gl7wMadJP0Nr9nVDwh6qFdRJRaptpDJ7IojWFVd0VwqZxW90ivJx4wvitL/dcvWrpkr30ji1zzv98GvqfdKU8Q9wQkjQ2H2f6dwzLEZ+nMKck4KcIJeBN8En27upZ5Lh9I0a6zwISlfz6IwKUmH9RpfHIVxhVH5kphaLKv+DL3zYXF4ad6UUx4JXSHhm+oDu1vHYoWQVAGco4+VylkIzQmj1+xyiaimkL7LZWLGJQgkIPHi6VrVquAzBaU7lHWD6RTfb66DFJ8oepb1g9SiCBOsJA4pbnWHSVeaOVhmkjIBes21FO+oD6ejZ59KkyYrHoGsWrPGUOBR9WxB28Ov05EW3DJUFaOJQcxLKo+HZhPkBj9STZjY4Pn5VReBKFdVQo3fqIUFH2MV8hM7JyyJag8xTx+qBOfee8vs53d0Hx7xTu2JCTTdsjZahwzRtc6K8kZaPL6gDxbmPFdiTEMhjPXbguWrCNv/ma76odxkx7PmW7dMtHaPJTEnbmLtKlmH2T3gTQ2HsNTFed3Aq7qUuJgWLitsfb9ezNiZlvdww1SjHu9yzF/QDuwIzAavtI6llH4ut+UsokfsgZsajr46+hrZ0ycOS1dWRoLfxbSm07FK/yragvR3u+M90eXkHpN7/Tv69cRrbBIV1WrvMhL/b3WBsDygWyHpXtmvMgdg7hWwAqPBhIq1Sq4xHqheEugM3sDFlkh4ZaztbjmWfOWyjNnOwzmuLmXn4jt+BvmnYugSmm+fWHsw0NMlLNT+raJ02GsC3UfZHChYrCsdIGChG28gXDbXKnHvOAAsp65ZoZZBd6778jFWpVXgTHqLfbVNDBFbFTOyDGDfFtShhHOzZ2mGMcdebqpY4aiyTnSWwBAH9CZ+QVD7zxxlctS31NRcZTqAE2cvdly6dKCl9Mc4tfLy5Dr2mHPVXL7E93ZF3HMqiKUMdp6u6m+ZvbjpreH+sGMg6HuZFh7qrLc2pA+K8tHSGYUxNSWj8EFJkxJCMT6WPBxhFvq2crfNbz+mkq5am9FAYJeBAXvvdjxZIhl3aDtjIHNciWHR9HAe00T45kiLvF0WN7Ysy/gJJJD9htyjLAUVEtWfZTPw2NLUrEkN+d0qCO3pPYm8Zq7yKLM4pUBG9qlgVOyKrUNZCNcwX8Wj54vn75ENnrJIeF4srLpQn2dpjiev4s8G1mOruhW6TB6Z7IZutU3mb5yA/XuVrPQzvsmjuu0AjCAVaG0vHbPl7m3xAn+iNeuSlQZ3DCBrLltpHxKrQz7dDqJZXs3BssL3yy9n4DMWHpcdjCSN8Sul8cMENPEqmzBjKYkU8E5OQ7jhY45btmKI/5n6+pfa2XyyMrebca9KMaDMIGaOUrmYQuYcYhs3c2X9P0a3rBDJ1zge7yG7eOSBNaOcoGQnEtr3lLgcs9z0P/z8UnL2+fuhVH/WojHoJeAIUephZ+ivX+L2tb5bbzQj3S/fWjzZhS/BcrM/job1iMU4r/8F3jObm+uWlK4vifNVMCtx59IbBNNjuRxd3HullwlhZaDUNu2OOLhnvfJVobBExfGYsqVGXajzxgQv96get5t7kAS2X/1yB5674zhXkvsxjaHGj0O1fWfUjoHQQJWJPopi/Qi7nw1wPxeAEhwl8PIihS0NkWBm0RJiZ6ZKZEGRXd/KZGI5Bs3bPQhqHXGvKIMVc9ZR0K5c7uNnlj5EpVlrVmbigYwnq+UZU0CxBv/HCAvqO853EAaVGAMLdMOa/ipjY9+dJiB14aELLGQq391Tf0lot9QxJo2g7X5cBwOsUf3O1Nm77q1rw7wVHxZqFjHZ/obDN6GXlo8l9lUs90FbzLpnDji8HmxvK3aUls5DkMoY71IELXbybPPfMGekiLRrLNL+jr7bxBKFJSexk/wGWo+YMuyO5oqFKLqh6xTCg1quqY8XEDsW6TRQsCNqVutnU4wkuTRfjXJRv7JxS1BYzzfEjwf6dSwGniwOG195XJCbmKytzKvF//+bEtrafS/85sj1jX6Lw8OLfni1OC2xydIK9PZoZzMNWuh2Ual7V08FVvQg6ArcXkkWR03Jyo15BQM+9StvNgOaxRN2yvCJ6UGL0CKfXoujwW2WzvAjtm7tBgcndHNyRCsg6m40xNzcQ86wfC3Ne4Qso/EN08E/CdPrV4IDRLop/SEIojjCphibTpD++cYwDUoB7MLCQOeFAS8ErVbu4LWJyU/mzfbuYuS6ZZ9XcqDepXhG3Fep0U9bFqGIVCuZ1wYSPSjLCqsTHkFnc6n0KPmP39z1xskhTtszVdLCncPbBBB/lqdmV87X4FCmyCZsD3DffADBM3q1NV+7gKJXa5s7MPxpfpCWjwUjdNzkBxQBVIttIvqr7CHMtLADH99WYOvCKKcJ48O2qrn7XSyWiYHItRYSu4w0H/JKM0wjb/s901mM37BX38bOAu89Om+cWHObQrNaK9bHWwXvVLRnTOxozo0yHH1cRdUXoqe2f7cNrTIHAjItGceEeX8aBrqmdDn8+TXxt8aKvzFkiMw0+u9yOnfJ1G4h9Rp0QBcbngsPczzz1FGJnFvPsrGsmnKNqkCDFzn9TSXaopoblFE+raehVrw88nkhL7OZy6QUztqFbwWfFp67woIJI0wzR2yg9drD3YSSEZvmupxykK4m95tnKzsml03vATDrmk3LW8aMwWeJT04Ju99xlVY/CqIQmNSJuPgoKUSghDCcnHt2u4Nn7kRAikHEROy+F936QKbypILE1kclvFG4+6WbmIXFRvPNwmO2l7tjrWTlZcLJnF8KLTYZWTEGh2o4Cj/eFiLU62ASHJowtUyr2D0jhzqNncrwbL2u65TmYMj4sDNdbxrN1S9a2beGyb6g45wTkjoXROsxNInFWBSdBSPAWGIgdEya/14YpGeIXAsBUnGL5O+lE4YAdg1KxQ41YJML3CiFpr+Zo7eoeD7ZCExFZXLOJ/ZlJZh1T6IqEq14ovwp5iLTbweQf8TCt4PMhJc4QgAH+8QiRUswka5sK25DE4I58KIyjKL2F0ZblJoM59aXcyZdKo5Feg28vtIiECvuK9CY/r743ci3eZQNLgjAdDuCcttEztgPIYNy1TVFbcMMBupmdgsnFlHtdKbmMwqw4XgeDaKlcRmB2dljyPQIra6Gi/29GHxQSXJz2IX0bYslcLG8qxjfu4sICDj2GqO+H0IVmmRZ1+SEPMLCbKsHPr5gjRo/ezN/2O+XSB+v7BAO158/xsMYSEHu4TRvw1PGUZJ1VyrDJwZmGSLMO8FIH0fTiIogdKFeVVlfkzfm01DTJYeYmyJ6sM44nFzVCkWRZ8Dv5oX0fiq/zVR8UAsWZyw+270QuBbg55X51j7BYCc1vstRyUL71XLc911LgrOyd2EhCh9/wTvcHJZLffY2SdmQ7IwGGndWF+HNXuOtOUmfGxNFPd/wg/opCOOS9GwJQcWG+9MD6uMeQcV/DQjoNS7RQsbOHc+msi2ESL8+tHhKEF8On/PogqY5BP38ozD4XcCUZ0Iqs2mzlora76UJpiZYtQy1/yERiVfYM+HfSKrD6lMxsW9KDrz9sjhWl1m1gTEva1paBjZnasfj2pn/0vAFlZ7j9J2udXh4fIuE6t/Pe16v0w6aJD6CtJxNWH4px9YqFewCV64TV94BcTVm0116YTMoHOIbznaZmFbW3ic0Na3WSksvf/4D6qgr9n4MEvXItzgUNCLgg5hwdoqRwtGntnj/bz5Ym911QLJTkjA3ZuSk87A08dH5+X1mGveimhteV9LU/A5ZpBPLniQcigSCGLkMcQvbzt3Zb5L0Wq2dhl9GPM2pyYBmGRHv8MQ5Oj7l4EFknstdh8X3Pcbs//Is28D7j6/d8V5gQXdGdHWZbh57sudmDsH168aIxqV7x2SVBEUEfAsXKn2klsraGskyXeMaLvue0d2wSFhwrWz1YO4OgX9rDIkT2897WkX66gLTp1lUOgcemsTdCBj4Giuyj0UrKEfbNFxJyRgk60rRIzO10B0nGeZnZUIiD0dziopITPcb0dhP4XaKCSPouA1o1gcnKMd9nk+SQ3jjp62REB6PjGIifFnlZTqkNBMXaRmfyZTZfaRNIBa3C4AZvw1pSf1JAmHhpLIyuMKrJls4l7EPsa6lQYFL0Mx1OMFVESyAZH0Ts6PapyYEX3P9ChTrDedCxwzW5hbtNue0bF+n0NAx+R+GmdGpQQ2orjQE5hYPDWkdMhRbMyo/GH7wWuh0sRQVJrbGGpP6pCXBHsioaQafTahXzjntLp1W0GVqGMTLq+PqVfUqPSXbxau3muePlki+RoCi9tHwCMGEOyh5Lo4uYWKWJeZvqPeFMv/fWchKwzhnk/W7F1OAof49PIub5O6o5D8amlbJJwAA3b4MmJLXrXBYy3/3kNEtwMbYp3uiVf247HkAYj8t7U0DbEjPioSfJhw16zfuUQglwSbuJEWkvtKwrYOSznj+lj7hQxf8B6eIhICS/X/cEIflINPw0i+3vwsFeBVAsqI8eoSGgMjF7SfiGveaOnZDP+Cvg8fw7eWgytDizgs3ksAG/E6FWjImazW2jk4rv3JxNZ2u4DiwLMYSA65kyBatOYO5bawi+FPcHeN4DO1IEdJ8SzahJ1/K/tPl4C7xJIWEIhbStSS5o9fOlHctSzFWEk/qBPqIe9BT+An4gNIWcYlGb+hEhHgAiGge0KLq+snidCInSPiur/2ob6D1vb6Sec0tLqaTWX37htIBZw0oJOXDO8tzvOo2qEQ8yX4Z4qhUdDPshq+CswtTZXmm0DZ0PRhrMcjCb6MG5M+ZJd1969M/3wc4cUkZYO0K/uA7/XeC4Nog7aCC/na2DhDP+QfQNTJKc/r8ny8Mx4In3AGv7S3C4org4S+Tou0+eneXgQDqa5TzeieZCHv8geysukGkG5jTDyWaX6TplOEdi2viEFY+oPWMNGrsqpUWpxtlTisEBQxTIhJmaXoK2Kl7d9wBMWZl1mzZpklE+YkKR895I3Ipvn3ww2PHyo7KHgSAH6nNjuBvMT2DDZ2XXhbx0eMc0pWB6eSeTOibMjFQTuIjt3vdrK3Yx725vCk7yw02EoanZq2ptSi4V9dNOsIfmPkecukrbIb3UWbfxyxRKTgcSXvCkQoTrsjYORcN2zB14qkTLQijnlL5lZF00Wj4srq5GzInSVKxHbj8ygOAN05KxtSGVbioIZvUceKaTPRZhScFISShNLNrTOMzvrNEMHpVmXrn6ddVSabYdGHfZS3ZqGpDDEA6a9OxxGPS8bpSo+wU6S8me+g0e1cmJUHoHKZGoh6L+rSsZQ96HloslimsEusGUMk+NqaVyDVn/Bwpt1LvUaei4J0bVNlgrYTzs5iQS6GEnq4/QoUAj9ndYeVIyrkWz6/CLDuxj7LSaydgW+0GHedBVMOTcJRz2CuBlth/AUeIPER5sICStMINultZ8ofkb+fT1oFIz/7e4S5C4U+DEm2N6eaD3qxRQZ5uGaPH3QmUltrIBycaAQ/erLEUt8VoW1eWJBrBSdIuijFCBRpo96paLWJub5tvmcn1aqm7+3ioa/9yTnbxBing/pszMEeZsvI/uARNz5EXLqAV8FBG8O+Wg8BgRf1JFT74yB4TS3LQr2jXzqf9lOSdkUnx2WkY0lwwymFeQgDJ8Glo5VeiDrlvhPkl/HiCig8XJj2u3Mp2o39BYf7MH+DEQr923+gUttTFGLGcwElS1OHE2i7rSuCzfpYJvAtSkb1iLAxJgl7xxo2W55l9wSZ7XGln/Vhfpx9a0RgZjdJOBQ4wF/AmLIv5nAWMNzpsIZxCKVJNQLiTfGsK2wdqD7q28nukcJjLGt6uGIEBWb8eGvca+LoXUH226y6KSQdcTfLRZugFHRthFIkRVCYgIE0LXpWumCVz1h4Jp3xfnj3G/ZGTjL6lDBt5WY0BRj0PTWyTwSRiseLt6FbLiv+Hqo5X5JBdtSOHs8alBYc6l0XnqYv2Ww6evyFkty95kCj80APZ7ig9JHlaVuLKvIXQXCRJF8rH65XbwyARhchV7Iu7a4u1Hu68KHKjM/jwoYXDYAhUyblC2vEnsDardMNAOjMEgFsQe42wlZ1moGhZ2HgC59hlMSK6ixwnVqlzOGnnwxwVn+mVVR7YogvIschWry4A3CrIC3UMfSvW+YRTMikQiW3TrLlb6E/eRB/3p4Tm+2RXG40bFq72RooWrgMJ4zvC2WBwpVpVF7YygiNIYo5+GG+l/3IIF3xAmQKZ9IG8dd8R5mtcn2fvq7tsPU/hBnsmgvGkRfEMkxr0v/vlsLLnjkvn4Gz6MIyvarEUfhs44I6vQoaUpZqlKhBRXNztQtqJpgi429vktGvif7Hqq2a6Yg+ahzwtUNHj/RxiL7l1ClO5JlhUMfN8UU9w3zUdkNMzEPeB7GiZSmGRoeNwEjvOurxRk1vh3tk/MGqtgCj1cz2Z55YVXrZlHJkgbXPBGzUyad9NI7ZfVHpq3AvEHZOv+T7nMFOXWSoMmZByJ5TLv1lEZ1XlH3IOGMOTKAWQDcCMP8gg1AFSYsz/bLCQSsU9PbahaU/CBgrXy1nm34qcXffqRSAuGWCwEkhGmJv/yI+Bm3ULA4YGtkdEDK/vZPhOEvveSrtHM5orDGrerwxCABrwGtsJiHWAUAAPQAAAAOAAAAGgMAXCg8GqV0aLO1hK0YdFbeh1+8LF0IqQjB+MoBhiWnrPElZ38M0lNmYCznP/SNQ5XIT9jiwR7CKc9feiW/lRbXXcQe9TJf3CaPBxbvr6MXxiP6Vfn+ax14QHjznt2/qTAAbvsMIer/IOJCK48bgHWdbCOkXYmHbnsdpXbmMa58hh8rsVNtBlcz0gIzZn9rkmVAuSJTiN+yfBrv2i9BazO+skKKAvnTveEQbglnnP+RdvyW27NlrEuVUWTtnLFamZqyIGyNo6hCdB5oSfsOXZcEx4m8jF54jwaKDcKngQ1nhd/VYFjeceF3h6/DHAsob6FhICAAAAARAAAADgAAABoDAHwtfBszKjJBcyv0dQAAAAAAAQAAnD8AAFBS6CsMAABVU1FSSAH+VkGA+A4PhWcKAABVSInlRIsJSYnQSInySI13AlaKB//KiMEkB8DpA0jHwwD9//9I0+OIwUiNnFyI8f//SIPjwGoASDncdflTSI17CIpO///KiEcCiMjA6QSITwEkD4gHSI1P/FBBV0iNRwRFMf9BVkG+AQAAAEFVRTHtQVRVU0iJTCTwSIlEJNi4AQAAAEiJdCT4TIlEJOiJw0SJTCTkD7ZPAtPjidlIi1wkOP/JiUwk1A+2TwHT4EiLTCTw/8iJRCTQD7YHxwEAAAAAx0QkyAAAAADHRCTEAQAAAMdEJMABAAAAx0QkvAEAAADHAwAAAACJRCTMD7ZPAQHBuAADAADT4DHJjbg2BwAAQTn/cxNIi1wk2InI/8E5+WbHBEMABOvrSIt8JPiJ0EUx0kGDy/8x0kmJ/EkBxEw55w+E7wgAAA+2B0HB4gj/wkj/x0EJwoP6BH7jRDt8JOQPg9oIAACLRCTUSGNcJMhIi1Qk2EQh+IlEJLhIY2wkuEiJ2EjB4ARIAehBgfv///8ATI0MQncaTDnnD4SWCAAAD7YHQcHiCEHB4whI/8dBCcJBD7cRRInYwegLD7fKD6/BQTnCD4PFAQAAQYnDuAAIAABIi1wk2CnID7ZMJMy+AQAAAMH4BY0EAkEPttVmQYkBi0Qk0EQh+NPguQgAAAArTCTM0/oB0GnAAAMAAIN8JMgGicBMjYxDbA4AAA+OuAAAAEiLVCToRIn4RCnwD7YsAgHtSGPWieuB4wABAABBgfv///8ASGPDSY0EQUyNBFB3Gkw55w+E2wcAAA+2B0HB4ghBweMISP/HQQnCQQ+3kAACAABEidjB6AsPt8oPr8FBOcJzIEGJw7gACAAAAfYpyMH4BYXbjQQCZkGJgAACAAB0IestQSnDQSnCidBmwegFjXQ2AWYpwoXbZkGJkAACAAB0DoH+/wAAAA+OYf///+t4gf7/AAAAf3BIY8ZBgfv///8ATY0EQXcaTDnnD4RDBwAAD7YHQcHiCEHB4whI/8dBCcJBD7cQRInYwegLD7fKD6/BQTnCcxhBicO4AAgAAAH2KcjB+AWNBAJmQYkA66FBKcNBKcKJ0GbB6AWNdDYBZinCZkGJEOuISItMJOhEifhB/8dBifVAiDQBg3wkyAN/DcdEJMgAAAAA6aYGAACLVCTIi0QkyIPqA4PoBoN8JMgJD0/QiVQkyOmHBgAAQSnDQSnCidBmwegFZinCSItEJNhBgfv///8AZkGJEUiNNFh3Gkw55w+EeQYAAA+2B0HB4ghBweMISP/HQQnCD7eWgAEAAESJ2MHoCw+3yg+vwUE5wnNOQYnDuAAIAABMi0wk2CnIi0wkxESJdCTEwfgFjQQCi1QkwIlMJMBmiYaAAQAAMcCDfCTIBolUJLwPn8BJgcFkBgAAjQRAiUQkyOlUAgAAQSnDQSnCidBmwegFZinCQYH7////AGaJloABAAB3Gkw55w+E2gUAAA+2B0HB4ghBweMISP/HQQnCD7eWmAEAAESJ2MHoCw+3yg+vwUE5wg+D0AAAAEG4AAgAAEGJw0jB4wVEicApyMH4BY0EAmaJhpgBAABIi0Qk2EgB2EGB+////wBIjTRodxpMOecPhHAFAAAPtgdBweIIQcHjCEj/x0EJwg+3luABAABEidjB6AsPt8oPr8FBOcJzT0EpyEGJw0HB+AVFhf9CjQQCZomG4AEAAA+EKQUAADHAg3wkyAZIi1wk6A+fwI1EAAmJRCTIRIn4RCnwRA+2LANEifhB/8dEiCwD6dgEAABBKcNBKcKJ0GbB6AVmKcJmiZbgAQAA6REBAABBKcNBKcKJ0GbB6AVmKcJBgfv///8AZomWmAEAAHcaTDnnD4S1BAAAD7YHQcHiCEHB4whI/8dBCcIPt5awAQAARInYwegLD7fKD6/BQTnCcyBBicO4AAgAACnIwfgFjQQCZomGsAEAAItEJMTpmAAAAEEpw0EpwonQZsHoBWYpwkGB+////wBmiZawAQAAdxpMOecPhEQEAAAPtgdBweIIQcHjCEj/x0EJwg+3lsgBAABEidjB6AsPt8oPr8FBOcJzHUGJw7gACAAAKcjB+AWNBAJmiYbIAQAAi0QkwOsiQSnDQSnCidBmwegFZinCi0QkvGaJlsgBAACLVCTAiVQkvItMJMSJTCTARIl0JMRBicYxwIN8JMgGTItMJNgPn8BJgcFoCgAAjURACIlEJMhBgfv///8AdxpMOecPhJwDAAAPtgdBweIIQcHjCEj/x0EJwkEPtxFEidjB6AsPt8oPr8FBOcJzJ0GJw7gACAAARTHtKcjB+AWNBAJmQYkBSGNEJLhIweAETY1EAQTreEEpw0EpwonQZsHoBWYpwkGB+////wBmQYkRdxpMOecPhCoDAAAPtgdBweIIQcHjCEj/x0EJwkEPt1ECRInYwegLD7fKD6/BQTnCczRBicO4AAgAAEG9CAAAACnIwfgFjQQCZkGJQQJIY0QkuEjB4ARNjYQBBAEAAEG5AwAAAOsnQSnDQSnCidBmwegFTY2BBAIAAEG9EAAAAGYpwmZBiVECQbkIAAAARInLvQEAAABIY8VBgfv///8ASY00QHcaTDnnD4SHAgAAD7YHQcHiCEHB4whI/8dBCcIPtw5EidjB6AsPt9EPr8JBOcJzF0GJw7gACAAAAe0p0MH4BY0EAWaJBusWQSnDQSnCichmwegFjWwtAWYpwWaJDv/LdZG4AQAAAESJydPgKcVEAe2DfCTIAw+PwgEAAINEJMgHuAMAAACD/QQPTMVIi1wk2EG4AQAAAEiYSMHgB0yNjANgAwAAuwYAAABJY8BBgfv///8ASY00QXcaTDnnD4TQAQAAD7YHQcHiCEHB4whI/8dBCcIPtxZEidjB6AsPt8oPr8FBOcJzGEGJw7gACAAARQHAKcjB+AWNBAJmiQbrF0Epw0EpwonQZsHoBUeNRAABZinCZokW/8t1j0GD6EBBg/gDRYnGD44NAQAAQYPmAUSJwNH4QYPOAkGD+A2NcP9/I4nxSItcJNhJY8BB0+ZIAcBEifJIjRRTSCnCTI2KXgUAAOtRjXD7QYH7////AHcaTDnnD4QZAQAAD7YHQcHiCEHB4whI/8dBCcJB0etFAfZFOdpyB0Up2kGDzgH/znXHTItMJNhBweYEvgQAAABJgcFEBgAAQb0BAAAAuwEAAABIY8NBgfv///8ATY0EQXcaTDnnD4S5AAAAD7YHQcHiCEHB4whI/8dBCcJBD7cQRInYwegLD7fKD6/BQTnCcxhBicO4AAgAAAHbKcjB+AWNBAJmQYkA6xpBKcNBKcKJ0GbB6AWNXBsBRQnuZinCZkGJEEUB7f/OdYhB/8Z0QIPFAkU5/ndNSItUJOhEifhEKfBED7YsAkSJ+EH/x//NRIgsAg+VwjHARDt8JOQPksCFwnXTRDt8JOQPgkX3//9Bgfv///8AdxZMOee4AQAAAHQj6we4AQAAAOsaSP/HifgrRCT4SItMJPBIi1wkOIkBRIk7McBbXUFcQV1BXkFfSIt1+EiLfRCLSwRIAc6LE0gB18nrAldeWUiJ8EgpyFpIKddZiTlbXcNoHgAAAFroxQAAAFBST1RfRVhFQ3xQUk9UX1dSSVRFIGZhaWxlZC4KAAoAJEluZm86IFRoaXMgZmlsZSBpcyBwYWNrZWQgd2l0aCB0aGUgVVBYIGV4ZWN1dGFibGUgcGFja2VyIGh0dHA6Ly91cHguc2YubmV0ICQKACRJZDogVVBYIDMuOTYgQ29weXJpZ2h0IChDKSAxOTk2LTIwMjAgdGhlIFVQWCBUZWFtLiBBbGwgUmlnaHRzIFJlc2VydmVkLiAkCgCQkJBqDlpXXusBXmoCX2oBWA8Fan9fajxYDwVfKfZqAlgPBYXAeNxQSI23DwAAAK2D4P5BicZWW62SSAHarUGVrUkB9UiNjfX///9EizlMKflFKfdfSCnKUlBJKc1XUU0pyUGDyP9qIkFaUl5qA1op/2oJWA8FSQHGSIlEJBBIl0SLRCQIahJBWkyJ7moJWA8FSItUJBhZUUgBwkgpyEmJxEgB6FBIJQDw//9QSCnCUkiJ3q1QSInhSo0UI0mJ1a1QrUGQSIn3Xv/VWV5fXWoFWmoKWA8FQf/lXeg8////L3Byb2Mvc2VsZi9leGUAAAEAAA8IAAA9BgAADkkFABoDAHQSfBoINgrfVfcYCynZFUoHPJTa855VtUuOVdsJfl+VBPzHfrZUIdCdkO/ENFKSxJLzJBFTjL61mB3lisHwlh/FQr4AtSeNq5jgbndxgO1PEWmwWi/YOqnEx3Ht0vICiBb30gP3Cjjvh1yLjVHQg5qzmvMph4HA6GN+NHzTAZc8jqVGoZTiFI98Kn1JjprtL6uO7NMH2juT9EbLI7xjeMQT8IO2GDOWiSAigRLPkfdzJBTeiio+lUzALGks+IlVlyLuCu608u/1qe2gK8oLoIcVuD4ayi7QHgspKJhfp1y8sPYyIsBrk+4H7yw3yMSfdbv6EAxLatgdiYNhl3iUcossNO14qpLWyYIXRS5+zAArLUedDiC3KSL63eytyZXQfcrvJfzz7bjgS+xjVXs/bUkM5/PpVloC9t8Y1a6y6ijG0VpjDCZR41mSEjHDBMa1slCdB5hBkymVjyIW30zxRJl9fwQDopd8BuTeM5TqGImKasGuYswOAu35j2SF1DyrFs0fpvcDBl8lMtumKj0s3lmhM+WU1CkAmuIxLIwdtAa8xD5+moK+iHG6P9GQVsY2bio8yVDe5MvR0lXtgA2A+56IKyz6KgXIWGOq6nzu6fF+p6BbE7woDZYT+pRxq6rUqde0hmwwJSXdzXRD6IS1/1Baz7BZxiwJSPXU4+IZm8C9aUOrSkLoA27i/XvudyXsQbuira9imQnV8lO8bsAlbA97yI3I4ujqTaAc18jHAOAwnrlja2LWURhUTlJ1vPweNWFY3/MJ9oZ5DaehDfZqlhTzACeAHxmeCTBJQ1ac+XSncZX8XRX9mvbouaPejvE57bS0+RE6RePuQxgEQMQW0W8v0zpRmiqNn6TWe7mnK3eFlr3USz0PPq7RXkVtkZ2drx1TT64/rwRHys84AqmLZnoXDWq+0zLZB+Y5FhCUcU+4F5Hz+qeC+Ds9HwZ8LU9B8krRE75PoO5QeStp322B84AFizqisjbjZYUUFCL7SxIMpc2Ya2uYEUhZfumX+pvzm9Qzht1Lpxz1gDPspgGkxQwaEMRa03tqyRGmK0WOtGXr4MKAQqaMyjSuXrC33ugTHzfGmE7MBOJmHgTlfC/4+nxxxbri21/mmMCBN0LQTzqbcPc16qIBHC0CGtuqC5syUG9CTTzQS/LWtCHmxSTian1ILjmJ0z6beEiep6HkUG2sSxtJJC4OvzHG2gQzjIpHZ7SuxG04+ZygSw1KtOkPm154dbZXaFwB8djsHJcXrofKdz9luxHI2hOHvRV0Gs4/qrUF92Stj9t05XXyzzSeZnAiHXfHxcyellsICy8dlQ/ieT0/7n8Svwh0da2yfjOaH04UBoUo/AKpmURsTqnB1hNeqXMUVWVKX2OMTwj6csSFGqg3bcFbqI7dodyfwsasublfrmK+ZXdgaB6C1jZMxHNqKreZK1WrgmqorYJu1KsRB392jU2pXvrFkbre8ekma+sFK+cqHWatbUYxvtR6+5w9tw4hvVNGlvCuwdjsryBKTsc9sja/4/VhfLWkM8IYdjid5TLfBEG4oX8sTpY8PE4MEqAewu1jrM/SdsNHVwHxEykyR5n8BP05sGymWBqp55Gn2fx0PeC0srKGcADzknaG1KvBaelLMmEmybYarVwFY1P13TzfuLigrjwgDVfi8xS969ryVSJ1BJ/4VIvRCqhfZunt0tuwCw/atDp2TuziNwyxCW+heLwDQUDnPa/ONMAfv6iv6G1+iFOIezZgx9fEEkkwD8TUrjUimjEPpNvOhvRfzdguRd0lEabu9CEjsqF7nNV9HWaojx3886c5Lcr9vDiy6f21fPJeqMArxvcpkgnQt4tEGBrmG1R7y9/IgJyN232hTgMI2xWGktfQyoSkayCLSiMq/KKtqy5Pol8UYjWebbFUnD+g9iIdYyCY7ZMlU9G+/Fsuietq4LstN1igSxvNiUsmU5fT+tN8lNoJmsptKNIrREJ6FXpQygpF7uCrE8yzfE8szSLiY9IXdlmi+rZtW8RqXhWqwNZxH43rmRR8+JS0nFxsu3OZ3s5FAqAL8utcDhXD7j2KBoMYBYfcC+eYI73grlZwfZEkLvJa1/hkzO13OR2RR7rvjO9jsDaebr+pBgaXRQADAAAAAwAAAAAAAAAAAAD4CQAAnwIAAA4AAAAaAwAADG57sT96UbaIsrMvHt87B4fOCLLlpLvxk/J0ZL7J4M6/Wq/EbO1pEqgvd0mErtVgQD3Dsza67qo3BWCav2b2KP5o3jsrjJBSHT9hCP00qU8emEwqx/P927KmO23GIS1kaEfMN1Ic1mdN0Ys5pm080/XHi7Lp1zFbWgxQz7SQNccL21t293UfU+yf0uJqpwSdHJHli4X75eZphscxzbBo9XHnBd1uHZioWNovMWNreXFGVu9FLL4jm82KcLJeFAwPcui1VWryGGmsTECr6xHwO1GLmD9e67b8TW90atBWD8XioGQoCi8stZRie20AF2qS1Z3rVWcfsKtTmBcw9opbj9zDie+ZDBaDyahxsRUw6Nj/mT9Pom0DGeuKQ+bHPWDGjxgN6YwydlskBDDrwUG71XCxQhgcP+okTErNUHRaumfTYHioRTIQSevfG0RU/FBilUi3MyTaat4aqDCxVBBzYmLcCLYEKVChjaORLW2AlO3NpiXSCPphQ8HvwArRpRf8vzI7Nt5XEV4rypRsHjbQVpbP+GGSSeTBS0qe/W6ohs1U5R+o4Pf/kZ39A3SYtrxhdHB9vBaUZwqOVWS2m5ShmVjkJ1amKjL1BOPgfYqmOEqX8HYafUidxrTuBtSk2hNmvpwt8232JU1ExUmZWH0H84GpPrR9pHCshMDFvODFbS6mLg+dm/KuSuaP7N61TKwYITUNS2K8LMXW7rTL2o1m1bxc9RtWdbNLozWrc81Az4xSseuvSLqDXHiJKWGgEAYdMoJspVbWaGwfG0Jv9bOPfnZPlSle9aHp9HfzSE3Cf9ckdovTFck7EcIHMmwvZDJlh4Vyop/TJd62gKwPVusZqM65W/yRixTUm9sX7yRS5S3qrWYqWxybrhiYcAAAAABVUFghAAAAAAAAVVBYIQ0WDgpaJzq2mFTWXfgJAACfAgAAEJEAAEkFAHr0AAAA";
0