結果

問題 No.8024 等式
ユーザー rsk0315rsk0315
提出日時 2023-09-13 22:37:54
言語 Rust
(1.77.0 + proconio)
結果
RE  
実行時間 -
コード長 36,515 bytes
コンパイル時間 12,365 ms
コンパイル使用メモリ 393,604 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-07-01 06:52:18
合計ジャッジ時間 16,552 ms
ジャッジサーバーID
(参考情報)
judge1 / judge3
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 RE -
testcase_01 RE -
testcase_02 RE -
testcase_03 RE -
testcase_04 RE -
testcase_05 RE -
testcase_06 RE -
testcase_07 RE -
testcase_08 RE -
testcase_09 RE -
testcase_10 RE -
testcase_11 RE -
testcase_12 RE -
testcase_13 RE -
testcase_14 RE -
testcase_15 RE -
testcase_16 RE -
testcase_17 RE -
testcase_18 RE -
testcase_19 RE -
testcase_20 RE -
testcase_21 RE -
testcase_22 RE -
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 #

// This code is generated by [rsk0315/cargo-atcoder](https://github.com/rsk0315/cargo-atcoder) forked from [tanakh/cargo-atcoder](https://github.com/tanakh/cargo-atcoder).
// Original source code:
const _: &str = r#"
use std::collections::BTreeSet;

use itertools::Itertools;
use num_rational::Rational64;
use proconio::input;

fn main() {
    input! {
        n: usize,
        a: [i64; n],
    }

    let res = a.iter().permutations(n).any(|p| {
        let a: Vec<_> = p.iter().map(|&&ai| ai).collect();
        solve(&a)
    });
    println!("{}", if res { "YES" } else { "NO" });
}

fn solve(a: &[i64]) -> bool {
    let n = a.len();

    let mut dp = vec![vec![BTreeSet::<Rational64>::new(); n + 1]; n + 1];

    for i in 0..n {
        dp[i][i + 1].insert(Rational64::new(a[i], 1));
    }

    for w in 2..=n {
        for l in 0..=n - w {
            let r = l + w;
            let mut tmp = BTreeSet::new();
            for m in l + 1..r {
                for &kl in &dp[l][m] {
                    for &kr in &dp[m][r] {
                        if kl == kr {
                            return true;
                        }

                        tmp.insert(kl + kr);
                        tmp.insert(kl - kr);
                        tmp.insert(kl * kr);
                        if *kr.numer() != 0 {
                            tmp.insert(kl / kr);
                        }
                    }
                }
            }
            dp[l][r] = tmp;
        }
    }

    false
}
"#;

fn main() {
    let exe = std::env::temp_dir().join("bin87C5479F");
    std::io::Write::write_all(&mut std::fs::File::create(&exe).unwrap(), &decode(BIN)).unwrap();
    #[cfg(unix)]
    fn executable(exe: &std::path::Path) {
        std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    }
    #[cfg(not(unix))]
    fn executable(_: &std::path::Path) {}
    executable(&exe);
    std::process::exit(std::process::Command::new(&exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &[u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &str = "
f0VMRgIBAQAAAAAAAAAAAAMAPgABAAAAUDsBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAAAA
AAAAAAEAAAAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABY4QAAAAAAAAAQAAAAAAAA
AQAAAAUAAAAAAAAAAAAAAADwAAAAAAAAAPAAAAAAAAA3XwAAAAAAADdfAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAJHLYVdVUFgh
9BMOFgAAAADw2AAAdo4AAOACAACvAAAADgAAABoDAD+RRYRoPYmm2orhgzJO2QibJD/eIJnUHjhzsK5L
gxY8/N3h04LfAjOc6QnIx5AgyfFDGD21mRXwbZu4GDjp28zNc9wlHSbU3tEIq6onJ2SAj1rWLTeBxFQD
ZstmClUTKDnyjFvVgFpnK/rAU7ZlRwaU7y+PRc8nEl3trPQfWr4fq8NSckrl8DWyMnP5kI88at/LBgBj
q5Tiu6QuoNF8YtMZpnmMgW55M13aXIeYDgAATAMAAA4AAAAaAwAXmwkmM3GmCYALHTJPNRq/liYhnSgP
FX2WO3CstB0TYQRuPnDn/eIVCsd0PzwJH8GA1GBKjqAX/yjPfIv9U4VWXuehVyO1gzywjhYRBQCvba1S
Q49u8e6eS2Fg05f83QfsbMV/PNoYNUsWf47L4sDOs7ze/BJu09bmvuu3k6x6V/Lo6uAl6ARc3Irf40yN
hDmTpRsm5wvOCRKUOFXuYthPkI+l/bLBJUtWZVP/zbmHCzxL9dqGrvIG7Aau5rhrSXfccBBjKVr16VEw
i6pDTlFMUajoJgw8DCHYW1x+UojEJrAUvqfFW9Ada9MazuSIq4spEMeKiTFbCzytrxvYO6VWzMiFck3j
QkSZU8PO9MLa5rntQ8OxKcaVxjMLzYDFAOui0xAP8v4v4Pp7GN4DwBHu+zgwXX9gY9n6qWR8OEt54f36
NN4M8nY6ZOK2qpW8MJTYwC/Vp2wVr8LXMC5nlHq/LAvCtkvZUeOApzuySszqe9ufmWko6V9QimWJ1gqQ
PnmaMX+0om2/mfxIBxYibbIYpUIjdIVb0AJZ+kgebFBOchfmG9Qh6SPh9CF2yZP5aPnD+zdkRx03aAU+
a+KfsnfOkeaM3+SiaYbvorz8Z+8bQZUQ+jCk4nH8PIG+zVSjuw7bPTUcl3QGDnbveJYBHbytdGyNiuqK
YFgcvRHg/yfT83yXIpGARj5Rn4rpm0PjSi8Xp+QAzAKo8QnbKkKJNAI/ZmsB749GejHlypy+2b0lw7Vq
P777fnzopValrsfJ2xvCh/JnoXx6Eibb3xyWA5dyqgo9sBQ53XEK5jpr19zkK27n2AeL2B4nCVi+1XMN
XpMr+OejHrPM3iEzD7lw1zAQ4U7nMCIbVQyvwlSZMkLHEQ2X68ThkQaDdTtJMAfoBYv0tUeobwJ+nVZt
03MA+sakmc8bVtYIb+TGwO0mIxD0Y1QmHARJqgDrSzmOPOvXoGmjgNqt8ZlwLBwq7gb2n2W1QZKw2V66
3sTQY+z5ck2D32ZsF6FlI5GGnY4kHG9IxUIhoDcvGicSGu3KYGI/ep4TdAi8yvgqP5rtrYbWyS8w1DsW
Oibc1fFZqIww5vQNVh3hq++6ix1MjP1b4IKZ6fcqMMEC4YNWKVlcdo4AAJtBAAAOSQUAGgMAJCDZgIJa
sTzXr/WWvFrBoxrTZG9PlGdC1lU93KFRRXQCwcclBN5mSzVOGLpYHOy8jXTFD9m7rdKwGhRQ6dnpQING
PDK83uWRFkDZX/otnbBUpOhqj5Iw65NMO7G1EnXqrbaL9s9kWHHyP2nG6CekxwG7KsHosLnyLk3RxvXv
b9raBqSaZ1n3pohb9ozXPG+R+qpG9pSp7+brLqpHof7oFulP+CyyoV0Am5syaQwO+J0dg81njhavZ9X6
GzGbV+64HuB+B8IBD/RiwXpm7tjdA7RTHw0pUYeCpD2gPDfuCWZbiGi1qD+MZ2lt7wGwAzTWobla9PC/
K+n8erfVIzBxilce9nJiOF6PHp/2UXk8VNcYWNamX/05FDISZq23xyMVywL1dlUmUx8pdj16eucgpqWA
LrbVLrofcVGMTnn6buFZyvi9AuCGxXlpryvlPNBN8y3kTdR4a5cUwLZ3kvsfB6Ia53sVLmdEM4gnunuj
z/bm0PiWeTUCHZnR/lHWt1QyoZCMcp4YJ7VEGcROknh5JeIC7pS4ra5zX0c+vJlMpDJOV7ZDZvldNNXk
lcjuzoY7X5t29iw3ScYm3+8l6dzRQos3fH6wBkgjL/qxmw/z+XMsPqLRI9bjh8V/bfmZVUL2AHVDmn3Z
hXt5lrG8Kq9mf0r7ch40KyCnVoUMqKi4wpm8N2gOgXoX3q3K0eOjcS0L9J67jeFupeXZP3qkYYssBp9y
+FHkg0wpcOe+vucHHYlZ9Qr7mtdAiRP5AyvnXl3sIJCJFKR4EW6rfwfGMMDh0s/2Kq9pJnUPTDiPK1DF
qWmIieTkVvt4N1KYfS0zWmQx93CkQfBkYvQlTixp3XBHX82B2/e8SshfxYnglEvDFKIOKZK43SHKnQGI
sYJR7vhdPnGEhcWanVZLFhZYutJsGlBZiUsUICDKYBL8p7ZgNxf4bFLsgZECNJGa3m5vrRS4zLHU9Vjk
yZ3YykxMZnCiTy+Cj6wuhjRguVCeI3/wRvPfozBYuNHbFsKYE9c5va53UD4rQGueesc1WdAD8CT7lL3a
QEaDoS9b9kxObOZyJq4yzSTqLVqPbPVVgXh0Rg9luCkp2o7CO/JTzq9b/SMZfbnw29TPMN5Vzdc9C4yp
f04b0qXOe3ahCXj78f396txVmLwRBdWQiTZczptb9Gyd7RWTsP2Huc/uhI9IXumHhxIfgPfkvzaUNY/W
qVXc9UsmgaGcnd53oteRuJxcZl//WTT8hcOybsFarVYB8eBZIhd+pogHucWflGupO1vR+dj2mcgbvFis
LGMvIeCeg4MJXgAQnMdS36seWkaOUDmT5qXLiDRR2cevtI8ObQsC5xHw91qQDVexAT0BX3UApN5gjKPH
SZPGqBbV2aAJyQYN73UCN9g25lWkxikrhzlLscCD+dqGNm/3bs8cwFu3nRuRXdTL/wX2cJJ7doEifh/H
a4lQQTv6qTamnW+afwOMSZLYXAdPymua9PcY66iVBwbeuIoe5n4HteTTJ5qNrB1nUMM0UpMvPjx6DEf+
yAYlo3hLPN0i/0JhQJ0JbtsHSV0QOACmS7zgTluUuooZHpG4EhwdorhcJdoLmRKBAAethQQbRBJ9Qang
WagAAfy2ONl77Crkhppqi6ndUreWPjYHkVAolVdUP6zLGQYWqre8G/9gWqxHcRBXqs7OqQBKoDGM9ZSQ
2k4ABXylgDDWsxRnKFTwvcLUSRSv10EfADr6MbE01TZfnFA8tyURBNNow3NZ8C5tFsZRtcLzohOT/Xxl
+MHusAO3wigrd3ceEC5ODEDGkcsAIO9b1tJGBya+Ck8JzOj1i+PiYRZHEm0LIQt5WEeoiQgBzRa/IZKm
Yf8SCWH9Z++m5lLkhYbMBCWgnzxwiq1TocXbIDDBe/uagGnNcEQJWOx+itRVYp0Lav1jsIFlierouHCz
taeddhUioDjeXR0u4FE2YTdHSmDylbUFXj6BFfRZXW7J6o4+NovSZ0w3YVmtNU5mGjhdb2SZZdxsEapy
BSzIcB68qt4L006ZQ+a9uza9+6EHBRfFVse3LYVjiVmYg+vHCrXHguONQn6HfVkV2OtvKCK9k1ZkL0bu
48zA8er56xl2YlJzydkgfuSR7WtaXGXpgJ8EZlQj1aY0/wBeqIZ/OPQyHbw6wz711jRm4Tgdl1xxqoWC
gNt89Av4A6X+jSW/T1X7F1qmLF11Ghp35EWVCyPWvVkyTruxGFd/JNIEdb1AndetHdBEjE2i/o2YRhuX
gqyaviQ37+QtVmfAE4rFQO5HBd2va+PsY20QgWAtfx2674NWQvqxWp2T7nlsYOeI/C1nJiWlXepC0g20
2yPLZGxSjaSXVeXiByuujLzEE7Pv4ZOYOf5skj55RHjM99JS05qEumjJ1OVv61jQdm1DOZi8O+pOeLU+
8YmotEeGdrb7HhgcYM9XPyWon3e0j0sfaRUkpOHETWjGuYt+eb0MKHJQao/oEtWsr6cGhtpUUggRluNk
hl+k9NxsNjNxPlgUHOU5+dj+u9CltMXrB4hwvnNQU4RmtqST9qCK1pJsQTQ5BZmv+hVzmHfNC355wQ3p
FjllVEaMST3Q8U7YSh4jNPWEp40t0DjcUjAwdB9wZSwEbG+1fGk99RxY2pfw0GL94Z9dgu/h4IYawFLr
cvcxnsVP4E+3I2t0PK5DsQdpJkGd4EFau09lCwHhI0D4rnYQnOlD94nAxZuhbeXj3Sz+MqL6fP4ahKYS
GHwd344Q2Creo0z9sPXE2kd6/veCv2xvs6zUKEPd10y93HD+tR/F+CqTKokyO0WKi4qpllXLZ/xdxolM
gLhgyIPo76uYAgQxqGszhlmS6QRpQFiyqu2dFybGlYMBw/9v78jin50qvwUqwCNKmbKPirxsc2pqo6Ru
fUNppZK7J1+D5Delfd4OCk/3U+ZY1dgFnRVlgCnPBARdnnkZQfgWz88r4d4Ao2fRKuQqVIUEBXawng+t
EMsZ6qADfvnL82L/7q3LLGqNZ7AY1AZH7w7V7b+AziRfGqfIuY1NgHrM070YpFElGBNCqd/ZMrrSx2PL
jtnNZZYNihDXYSL7d4y91s2TTAVEqjoMZmqClkNCyvuZTUp00E/40Ls5UTkzpmkUkFCcMFg6rOUqgzai
l59sp350qIYPscBikTfOj5KN0oaAFsWWoeI86rVd1qGyqMvTGFq2PKWhaEcVLcX305COstb7JB33+Y7W
CMlOWmDrsVxUi3cEY5zu+kDbYawnx6CZmuR32Tt2Rj85TapnbImxnASkerLSFcqpPKm6BK2TL+T9mPB4
qgeRUSJ4/N+UJVg87CsZ2zeOd7ffWWNZlrl39eiPobex1/JHJSspSQKzhOFaEk18hXjdYnnSYBBofFs1
135+DaXqUzipAlVpLJ3NhTuOXNfm9zmFOr62x/LNOGv7B+NJeh1g+qPTBN+GtwHU5WBYmmDSV45FEpQV
UoElyLUhtqPVMix0x9ni0oGhIzMpQb32nTYJTZ+tBeF7bsoPPGhVr4grCTHwPEoD8Mfi9GUfXgSrAJD+
5kKgScz1IdlwZP5TOscBDaWWUyM71nYoZ2Bs8THgQIDgWk54NTnTqax1Gc1g8HjnLwH7+NwqoGky2PrR
5tFvH98zH4cCBauRPM/ZPdhH5KUmWD6/m+KV7BMij8gxDuwm/QtTiAQTUIebPNP70AG/8c2cAPwEXGk7
TKHL//9OPs2ecGaykDog4oApTMcIPG0U0oHlrGR/eIpbEIEbosLqB6eGk0QsvSQZyRojtaVeHF/80Efa
zI8Bs0Bx/4aOujjVBzrAynFkX5GZol/sq+AJeLYiSJPlzwqmPbwHyNz7FRBzqUEk0ux6by5Dc5eF5Q0h
iRe9+pb5G8q6D/iEB7Qli5dmuljJTBADOOoxLGDH/WZQY4IpNXSg6P7z3xgXDzhEVzagdOTpJ8CkUNQE
4eEwLfHdOmHdxQfUgRVTjTcx2blWFb+E3BtJE3Z4MjIIgOfUmZUX6XyEdbUpfDYu7VWvOkPeYR34soF0
ZrIsLstP1wNsW83+gi9YWijBIY3EEABG7t6Ev0LMzf6QhYq96geUYNeZWamCSfLxwp1wwExnhaCYhien
npKKdybtTyJmE1E79cGDUtE1Y6y7+GK65Cl9fqAdj+OWtDaMQfw1kRrzdSw1KXTUckS8DR8kHFdHN7Iz
EFz1QOvElmIRLjo0kEqy14sVwe4+Z9x2l/VfQvgcazBcPT4K2Dmp/0NU1lC7gw6hc8siVu/xyaRirsCo
a1xu3jGgBLCK0gL+DxS9LX5DRiATrpoIEloNQ8Zh9IZFgCaiqdtd0egepttYKMy8s0svp5tx+HCN/DDX
cLjUdCBK497UkFw5x498nB8AEkR4YlsD/zdd3Q7Ttg923bja/VoUZTPXVEwhEMs/r/ne2iphKa4i7WCZ
S/YEBvfslGJ38lPPExL4KDE9wYrhBkWgJaKWPAJatb+JltDIQvjw51DHRzZ/t0MZgdaFYtQ3N5/m/rCP
fB7EofD21yhh5Nz/XiJiuilN/AlqVTzr6+2NfowNac3qSK41W4kZM9KiPAlh9y0c7z+OWsk9XFxK39aA
RjCIqVy0Sb7hbuLOSvKPKNZEpEFDDsYT/27+xjKBe5Vgq8E6oz3mWVZxn+85v1yZ2YiHrW4mqXFwc16d
+bmHcB5Yz635xaH6KXhkaq+tvykgrB25Sn7ww8MHTm0eRlsemms8QpLHs44mgYdQO+/HNhjar8zbro01
VUZqBaI43ykEXfLty+vYDOsfcrlO1d5c2twqDZCXUH4ztMUhrEKvRMwVeM5MBmNH5mLSj4LG2MI8G5dR
7kPUbaTARDaOyuXkjusmRKJBM7SWM8hmRvwr2d/YeLMVXrV07O6B8uBllHYgXwJQy2fF85R7RYj2+MME
GlArQkRtYZOtld3dZcrpRrM2Av/0jD6lChqocQ+Yfh/Aey4PhXCAMh5RahxR9T4IpoeK2GXerFf7DvhK
9/13sqL/miv/kHjiEMjqWrOUYDPOYDC8xVFnmv3uHSqzQBW9MTdQVJB3oeqQp7QLKh+8fnrKClfExfr2
0moOjwJDkG9PgoTaU7jE1SkugmuICfSmbdv6xod1LpsscK68W0KolNStWO61pLAnGyjuq1IqG2ztwh0I
xG08ONkDPVv3ZQmmv6I2ID5sRLmAZ6Y0F9j0m0fNtI8Ri0/E/rPwsQWxXm6+myGqc7KCAY2XNJgtFJLG
HEBpWSogJLBeLXkRSERZnDCWtmN9aljqdSuQljWrTzNzr79i9mXNwckLXX4Tv7xakYnpspav+rim5hGJ
YhodCaO7T2IDPcUU8RRhbmg8t2rQdqjotGQKvy59gtJF+TYWFagMvyM4ITr+M9kYP5r1LwzWkhWjzFi+
ns6F1vAAsFbMFiN8K6pGLMmkzZpxwXRNtGtP++A3g8RfqHF0L0eWiuMyb+rJBqCZ1+5zDMlfYe27vvPM
04yRz16sKL76U69yCV3cvpaApE1PP3Qomkpk1m3sCgFKErt9ZMyiHtYwI4Nuwr99/XuIHuKIm09eRdDg
ER5VmAFW1Yv0jV9Bi14WCZISvD9mp6tS9vtzRMBrAjEZ4xn0asWLuRv8GAqrs6soLgmNZx2lJ60Q+1Ka
7IPAzRA5fAJNcN8XTpyC1ZNqSBl9aLmnGQNziozK+ydPf8y9ECV4a4Y7jNic85oYVPl8Ewr6bSDc8HB0
dKRXmVv0MozwutArmCzZQV0NqjmUCsU+tlhAxJYoBXCyDwgtkHIsXTKzotoWz6TxRuFyjF25j/DaUqV0
tzKzuJMuTa5l4oqxUqKaUmneZAwHQ/t883Wp3lazGjXIwbASgV2rFJTFnvK+ndyNd1S8ke/1cG1OI7PS
+63wyY0J4ihdRjiAwz00MPIxFM3a4pBvEUOensm6ziKaxe7OLBAzgyrMZmNukI8j8cgCa432RVa1A6X6
tjdLkuo9ljvS08EVYoFRuZg2xCUiR1CTuTZocAaCgTHC6HNXBDNKjxPMVV6BRqdPL5Bl0EvwLDuSUgyV
H6jt11M3uy5yi8DOyAGjOjvGwhkCZSC72G7KXQ2QvSAuLX2O6vlMI6U3Ru3Xd13or0LmNF0pHMxVYtKA
jOVHCwv4U9GGytJFDRwoH5IHOUa7uMbmOkA8mJdTZaN3KAUG4ue3TQ/o5FrNE3POssxVoG+K78KiWb1n
dS4zpSVFiH+rq5aPFf0OUJgKez+GlW1HqFf0ap6nvWJpjo0gWX4wUeke89dlD0zpsPua4IztC2HHM33m
qyqVxGr/YN0hx/HhG72PA4zOItYwL81335rZ0n9iU/hOzoS+Vun/DOCjAMRbYWesJAfAz059+rvvAOpX
A/doK4QEleXa/9VTZw8JqTeQrk6kZAQr0OGDe2gXe1AvrgGxIGdwG/nbOtxWIxKgN+Cx4uKv/xoGr4ZY
3g+VS/tavr5+QxS6jZzmTOniNyDCkXw4YoaIRQ1kGITRRmZKkA+KyvV9tW+sq1kCpvXplrohaSUlITSk
VfuXuwKK8cde22mjEDZS81P0FA4ybtwn4vOUu938SPUDhUJc1fuJXXPg9jnvJsv/VXV96UTMun4t9Gc8
vVySdRpFvzItCTUes+BavEVIKEE/6j+qP8z5M4quiKDE7xpyWxA2T7cnYnmLCKXHH6yljEEdUAZXd2mc
qnQLaAOh3BbPFnUUGQ2aTDKdRrPUam51bEhwqiTUyA0ela4vFsjy6R4oIlaJy2/neN3/utf6/znREXEV
b8J8FnBt3wqHq/mDzVF4ox676SOMO3dHqpoozEPaEgFDnvQDLQLajqqaIMyd2QUqODwxwIat6ZfJrh2T
HwrC/Y908Uc1ZPh11+MEwT8eRXADTKra8B4sc2d5KUe5r+whwHcE1vy3dfI/EJkf82XD5zEE+TNyeRrz
HnltdobqnaU9ayxGQhbqsl06ARBrXAzGSq2po+tUKhNtbfSPSUKCAmuQtfz93/NqXpKzbNWtlLCsrqJp
RCk5gUsq30y/mWBrBUluB5qibP6OB7TO3V4ZGEVk8jzNGrS2TBBkWONIWB3lRl10mPzYFA/2ga5MCmhB
W6N0DDlLmsL0M4vZ/8PMUoLORHvtm1JF5krMgYCI2FVw5bGMyhX/qG0SE6Jk0nzpMhOzZQlzVbPvyvSB
qGtK7IJaN6yC3sYmkgBswdT3nJXjoZj8KlM/tUc0iB3YDQw4FPOhQWFnITLSlHJrvR4nCqQ2iLjJNbP0
eG8fwSBvVPK1R9xq4LBhNgtIE5Dj/dBC5IbpMlzVWxeSM8/avY6pd0YRuTYOTDaK80uLNCOUacWZ3u85
hG//NYIHYCpu9huO3XBmK0Dm05CgzyYGOnlx8uGtfXKBmGHPgtdfuSFBq4xThUlLOv3xcJDZQml3uG95
0YYV3QIrahQ6Beo/oW/LkZ2rbKlmJai3Lwzp0qHEbxP/Sm1sINzjNlfzXylO+c+ZId8c4SimGKW1ty/M
TUcfV3zleN6vLjgGTzJphCrB+iKG0uyOMOB3wxlXmfq/mFsWuCE++I1Gq2xx4y+DFljS71dQfcA1vk7+
899M6lqmmKd5X2cwKuH565NRnf5XGp5IEU9o9d/CPlNuwwxI9Pz20JrqI0LkGZ0kw/D1KkN+IvARs/zo
wQbGbyWF8APy2n9nh6keDVVB6v2NympJ3xGmrdy5zXWALn8kUQKgbjucQDL+waLx/ZR1lbSGHvH6p7Y3
YTosh8cCtRoO3maWAB809w3Zh3PK7roR/s9UYYYr3ea2es64CBPXE9suNU2+q66e5oZEfgeOjlG0Q5aB
2L4JVeYLZRNtBufxbz18KKmyshKcb9xfEQZCwNNlKfQRiKc9wotdyn9jc1u/OycXc4t8rXs2A7h/jvwO
DRVPQmwfGZ/8qGmofkowzQi6CLx9j/ugLfxS4oWxcIXuZq/pkIT7An4wYY9dbA3sVURts2ljvhxJYn/P
uSIcn8Vujcfwi3pjX72MhPjIp5uxPopee8pGV5ASQ4bWebTNUd1jDGpjTDld3PG7a1s5P3TmRnE69K6g
CR8O+NVvf9YvXbrP1tdp5JNUL/mmFMGftXwjFNibN9Igic2MlFnpE58qBLtBIl8G7/302EZtZ1xuj0Vk
lNwkq8XtU/QRB/bp+4S7VvE5Y6Bja11J9TnyPN3HZ/qAdYK9QTNEWdxChN8GLjsekJRsvjDikCJw3yeh
x7yRBZemZ9VKinhNXGMbRQRQ8nIE3oB68515+frjddHMhuwCkxgZ/dhQxlyEI6THh9remGY+FmGdp6wL
foHbTeX5P/4CMZcMUJrjXRFtuVwiBj9mXUMYZOZM+Wm4bDhUgJ8IzR2P1J0ZC8Klxl4oBbrVS9Sixage
jvtzH7sZ4HLbJBtQbdzNosjesS4igVu5AK3EskYH8/1dE7wV+Btb+KJ1nNomaqXY3QnIMprMKzp5/h34
Dv2E0A4GKvrUk/XeTxWA+K8n6thUyZVES4oCWA+F9WnTW+i7IUtDvZfSgXgKT2Hr+96z0LiCmj6aLVJX
gohRzD4O9+AX0TXNBz7C+ieljIhITPL3s9umeZyXxQ4Qwnd/1P76Nw3RTCF8yEJPRHPb3tLk7LsD0vt5
iNvxG9M0SauC1KPJTn1qOuiXhCDlZoHPTRygXsUd+RJVVy0SfQDzk3qse+KC1ijuxJjoq8vY3HMniInH
5kmdwfmqhhfOy6/840R3GA00FHzypuF6CBcwJolzVTxL9nJj0wDTar69ct/AmxvjfWPim62zqGl+wUjD
4eCNYolhR3H+ByWoGQ9XOQ9+y0tWXFckzPg143SKTJf7jVfqwmHQWrhyzgcVyWg0rxiiszGuLzEGDPtQ
AonIRRxUJpBl1xkq8lbKFAw42w+MZM61wvaVU5tZRZ8+6wXXjEWRX6Q84/yWHh/qgF+OoeGdHIqRB4Lw
PZ7x0i0KmvDqbW0qxagyVB9Z9nA3gxY2ijuHQcNJTe23x6pGauLD7q9/3YEzuEtyiJcvLtlWAM6zSXR3
Hg4q5xiDocG6/VibvLiDAn0c3ZipTidHQ0Miq6KQeO3fLGFBxmapE8q8KVSxpgoZxkfAIqdiIXtw9s5g
02TDQQ9DgMJV+lP2K3/XkoUrrKdn5vt8pfRSu5lgK0wmh42/yKphBvNZoSIli9RlBOzLEGiHbE8c084m
vXUN8cPLJB9CpVJ+LL/yUXeI4ne5kvZUxlbdCiyd1zIotG4ihGtdSnhMI+hkceHJ3Lq+96Jmq5eiEd5m
WSgrGxWni1Mp9ZSAfR0Lkd+W1gR+5UYgUQdCuIe+m/JhQ1LamNusZtLYbscqGeFOSf0mLx/LN4hsbS/Y
/eTGICGGj8UQc6iOPmP5oeNJxR8Nj0JB/8ys4j/JheFMyfwT9+uWPMXcZjWNaz2mE3mQ9dPyZTVV6Sx+
/j2u47VWHU1mJ4T6Txd3MfFNTNLv+8geSHLwabbX0+LQSYsvrq2Q6Ianpwog6aqGnmQ9V6xYdGBkJJ5Z
xO0slQnFbBsxTvGi1tiKLua5ufsf/FajnRWx5vh+EtxpqKt8CdFbU5802TOcWY3Ukg+ZAhfM34lkfo38
rgTzMk8B1cmp4xBQOCMixRNezbKAVYbYLGHB1aDbIB2WEKZYcdzf9LxUIQ+5IiIZPP9gxhRdbhcMrUUt
uhWpKXqdbPhC9VO6c7uCJ8krDzDqDcerdf0019JFh4A7o2kFeSQEEd3cdfmZPZ975l3GSdM9cOhk8kBI
DLU9W9mGZOTa+2pPRN0qtSoyO/dfj8b/EIbVOy7S7uO306OG/ngIMmMy11GyYseM1xYEya7mkT28h3mi
dPobTI0JCAWuLXx28WWbu9qcp37DNcTfSoOSSigW+3o3S6JciK52GtBSscyDs7Mt17Cnu6C/UYaJ0xHI
OQk/Sssi2aGevkPi6t8VgX3A2LZ5YFWeTgXWyzlUkRr4XrxxP0fSjvlkBSaxWCmnXJ5D6/sQVkeFG4RF
PZOndHmFLjSqCaFsS8G0sm37wTGfKriS/zramykUkxNR8NtYkvJJGJR4vnbyayXBud0GotnwsUjfcPEM
cmL4k+8PNgdqus1O2G3tJ0nQMcdp3fAFQTlzL9/ocuRbFBSAI34qyuNeQB9XdT1Vin8/CCq+u46Nu5gJ
4+APf+xWvyGu7+cYkbbUwYCWol6HsuLRcy/UuwtShf/KS5/Tul5gwv+SvF5QzbpIE0UOZjrp+X0gFLHk
W7V9XG0Yw+OLBNlhXnG0ESmJ15KhfuFs1g7hX+K9CI4gPsJxE3Q7IpRajv/m5JSd4SH+B1B7XSXd4RBo
V6F8PC6KAfDbQoI9lvcD2Zzwi007uB42kjnmPl5n6igOtD/LnhTtYpfCM3tER5saxfPvqnrvTPwsJJiS
ZtHt6d9WHoyIj78EyyUMPBDhJ0RQMJ7T/nX1cltKvPI2BQonAVDpSuKul6yKuA4vSqmApE3pNDBzcRd4
IE5nanufRPnWhr4RzCnn8stAW8bAOoTlpt0p3SlBaBkpwmq+8kobk6a3UXEbXCNB9ndW8OLq9PZ2w41y
kty0weUQmes2109bZgJBpr4FNETR7F9GYbfm5NilDr/yLpObBijr9Spnxyv7le9o/xE/RxyhvtnAGT+/
DJmCfTXXECNnse7LP6eAOK94xZXvEWl00ywTmBAq4RZvKPsfr0BMAY+zirzO8SlYRwa9DVGML52R84B6
kLiQXDdxiqyx3oEVy6FxoFUPCEBUMb5iDUP4evuJU99rjFTzwkSm8BfOcSWkoXIvQGdBfAt72bOjDo3P
ZXgTXNHXCq/dixZLmLYwMMQJEQPzeQCf1XV8ANizrD5ZiQI68JzqRoqrbKn2NJmbEABL/77RsVTBD8m5
Q13xGo+uTQU2MW3iLvFaAVh32IIEExZeSeHErxriuKlAvDI7UK9lIoISSL01Gws1gj8pEmbajkCS4kbu
UuXTmDR7I7aMueZxaXU+LOV3whaLenRdZAVh/5akEmUQMi5NWSkBOvxfSkhsWljvWRUHqVUxnksCSoc6
GS+i+khgKCVxRC3NOir5bzeqyffk9YCX19yoA3UOBW8J8DcJglxeslxDwrVVNOUR628iHJDtK/Fqv07+
ZwLxv4036MuScmSAghIz9SQ5EEaAbl3j9vhbFFXyQ1RYSQ6DD3F3r5G0pBLmqCoTgiAEXqNutexZAWH0
4JcGw68m9UC9PikbO9gi+bfXqzyr6uPnbsFa9lFFuiUimOfTBwBzAmidsYSkpexeD2gqKSO3AMEIKvvx
8qB3mRGxe3s3VqOEvVz71Myz2hkoG7js3uUem7YqqM3eLT5chk/QNOfsUKOm/ErA0QIZfY4DYWhG6GHX
EexbCQXH65RHWFI95SN/HaMEo52r5zQW8Avm0Eb8zXMi/R2XozZKl5VS8TSPJC7FAt3UaGQOoZBR44/a
NBgkIqMNvj/msf2LDTb6l8xq3FqkRX8jpZ645uT6x4f1cNsP2xVOWTU18XBd/f50GJRrOueIWS1pxpYV
vFQA8xj+tLR3dMDPdMkinmtTXVhOOxJgzhqQrOnfmT4DBFrfSUQHAwCZy++eyjr67CRR+JpugLQLVKKh
N19LXsCjls6MyjcuDkb79qxCC/Yb+ratjfmvFONeKqiZbyfgJ+TP5yyngxDHlkbPdv+4BdTjroaFL7ih
X6es7rYKGblz8gYEyj+84JBGu3/NNIFJexWKVLcAnWyW02sUYP2+xb3/hmP+jtHL5p72YWf7zxYvrube
mZ1xRGjBvah7WNp4rQ3o2IlMz/EbL2gI75wUo5kpqf+HhlkcjSnFtCYE8dWz1GoES6/9B9hntOf8h2vN
KiKUGHcPgykn9QunLJvVwZS6s1bpQwXllSpqQdda6r83m1f+AkRkEi7LTuRvr33/ginxUxMS2Bu0epi1
r2EIf3vi5j5HkJkKRAlqk8ytvBoRnsJ01h2PW/dyQrGuyODIMSSU8y84oaQYOb9zUI3Z9mpLthnz+PYT
g7Rw9GZMOGFZOCSitDrLpBN5tZKmeUX+ZU5bTw2coE71O2NoHJe83l8G7UuUu1sLhGBzl9L0L6xCmO18
AQCv+Po4bXqqYMH7BMxWZ2q7HH+wW4AoyF4asz2myuK9x5yjmgCyVO4iOmEA0q6IcmoxyGMjktVm0tcZ
G2M8dLTJwRsj3EKwYEwONP2rcvLewKD/cGvp3OxxFVHZMEZ5updgnk2FSWhW6//QDj9pDWhdni6dfTQn
KjWf0biu6tNA6b2srJhLBG1YAda2OIxL7rStaQUsAL2sBL6VLc8sz3vB8P19MQAFvEQfDVYihTHA3mrB
XE7qFYmP2xHYyQIq0j0LIYf1Bp40K9JXmFjsrSInfkm+viGXPDqKafyu9aGQYliAEEG/IgKmGpfEu6VX
oad2MASCobfp7MfNa/WwgR0E37IQaR4iCa9H6I8wdIaRXFvp500f6WmrJpKj1alJavHR52eyhcSG0e+y
jXSihy4+HrqJ4ANBTe5ivd4ZDZzBj2gcL136kTTUtJwLgryD38QzthKcKp3IdP5rcolpF9EFvc1mpeQK
ylC1pf1FwMVl0/2sTewxfpLDruMjbhDd/GTTH6OiK8rHnPfyuOgnhdrSCuUefsgonOT2Jr286IHKWWiH
nLZqPWN7/zjDjZGl34GHh/4bjpVMBvTbG6RR4k9lMZNpYXY8s4NjAld2kQqc2l+gPQF8DrWtYxOfSloG
YwzSWB+xUmkO2r70jG4F5pXwF08GJ/GmdKrQErK1HoiBJd2jLA6gQO5EJ4VLlkObkNekvcK+8y0topfx
FhOSsuYS1mSn8EIwuZAtRnbpGICXaJWfyGS6h2NsVwDCXXUaaph5TkHd1FdzO1JDW91qWqa01ShcB4Lk
SizFUVyPHanlbmi8rOcr7al2ti3f0YVoF5OqfLaddI87PCYq6T7/E80//Xddnh/KO6MDpQtka/MVDwHR
rF5JXJ5xpGXk9xbL+/WrVjckPoyn++BBIzXAi8XEeF5/joXxX6KTbm4292yvJhFL2tUEfFBZF3GrDRuY
u8O0yoFhGc2HXeKzFUNl9r54rpfK0thXcA63akGlHiqqUz3N6ENPBxJN5SekUYPkcWPU2OMVSh8oe3kR
k8eQYd6EZl2KCmjtNNpsOxEwXZ/jkFOFyZ/6aArD6S3gr5K1YBdyaXGFmTeGi0XiWT9wENpAsfr1dVKK
q6lCMojJdaqLkx9Z3/isstw7ShT6QRaYxNOjzGrdJxGGdv8077USXPABi0GxZP4/RXvhLDirxwWShbyu
rQh4IZmvvJ7BZppN+mCYAdOFYwQ2n7FWWVVgxYmnykBYlrynilkmfwCn4YXCHPuZaXYXKGu8LFoBOriu
r392fqqsQDYNzFLz9//bOoWDm+Awh9X+DYiNvfNg/GWRI6tvfKFJZXLmcGF24jflBVcSz66v45o5GK1k
DPeimn9KJm0cEcE2c/83cCAfXDYzUkMrqpzuT8j/zoCfcQrZYZpMZWnuQwLJH+5l4dYkfodEvV0B562H
S0pRdLRTlK4heQTFXm6yMnd22RQikp3AEF3ZLL0TUHI0xIOwTaiJzI8Ov2kc0QStBVJx0iphN1EmZhYb
AC3He0UAyUSqL8+SxLjPXJbGuldyy/Ej2Ev7FPXlV+L0L+rHSFjM3jgzpA31qKIofEqDfoLLkAk/xEOy
oBXp2UJKpNS6CZ5Ec6nQbVsXBZGRLyASSSiJxCpYxMidtnakxjZvulmtq+Vy7KdaZ5Md0z2xYV9wYeAW
YPW2zCrsqlvpx62IaGsoDfxO9DYOzksNxl+SoW2UfOEaoNgwcG8GlmZJEk+3nUnHWJg5De91b2dvgvBG
xPkdxuhmEc0Bs9LRXOq1TWRVzMBS1G8WEGT6xtc9ipRI8UmtMXdlSmskHiYj/TMeuw3UQPSOURvjmEzn
HrMcUsEVeobHnv9jxbtK3FspHdfO9WVetv0UaPNK3CmOTVVUqJJugUydleMAQgZ2u3Iq/57k5UmJfD5I
7P9UeuwNGre0zBovMaPRPURfeqAyFMw56Q3tZmcf0uo9EEM2xJSbXR6uuuRrgcS6mjJlpGszLlEavkmz
4zk1rd+eS8UfhqExX3bYMEkOgFck5B1ThXwJNc9OkQBoWNbERCnQyNLVUcskUYOKIf3LGQhM2Bengtv6
ML9ek0wUeAiOqnxnM/3wrTWNMvgEIDHaFH3lOrnlvct9+841F4zMwr2F3tVDQ94vvXlj/gyFleBCWKKY
DmiOhvW3Co0bRh31q1Vc6pUpSlqxCCDxhvpGQHixRMMDh4uLRpt5KtOCLrA9IJKGrP0Vu7aRgd/dphW5
rqq2V/xlTkNfIhppMyrHHKsgPYmLfb6YQ2vsi2vHJiV+abHOY9itB4stGfXw50q1o/MYaE+BYp0yOrnC
E8u2dhrqEIO3eHO0euYxWBNIQataCtuI4d8kfHP9kobc/hPJZkiUwWStPx54Dhs40vEohXsMYasQeP0E
9bAvr9oPjNxXfZdhGFzijwe254PAkq/qCPfdX2OhdB5V74P6Fobb7Se/XUW5kIRp6LEevFu9LFkugesY
iUZRUA2rWwyDgmDHQz9YWLsEP6A0QBDkpqIY8ysHWyV4MOZgYH65vg3EZBXjmnFSTaaJlA6GZpYAbESU
pt92RCyvU1V6HcYazfwd9G1KYlLNz67mwXjHNClykISZa9AcqpaiadGgSzwCN9jolw4t0EpImJAkrnM2
CmjCw+VkMcz2D5Ot0hlM5l05XoxuuDu+Wf1nMBSxYr2W5s9r8nWqmBXwzFrVMZ534ETBlAX2Z19eQzHM
1dcatBPFAxeSTD8cQuSue0dBX3/u5G1NE3gSphsiaPaNTWMnTaOMFlGDVvbMqHWF2/T9aps5Z+e72tF+
AGzpSLCpUj7g/X/BNeHwiqA1qeq0G8FlBDX8IREpaiEoAFMewV8GGhZ0/Ojk3d19glf9MJFJ13ZwOCF8
kwcqjGB2LNGSBrc1k0H4tsLjJmtsp7T1BeSK/7EvcKypoBzJyeY8/yp3T3IIflzB+Ztoklw9sWKT6Yie
2DyDva/xUv0JeygvzJaSkqHXmVbOUY6cfP3zpZkLMPF3mRtmBtq4ci2BNtyok2oYXAUIVSQgjM9dEFKK
LsIGlpTQYG5G/JjhXu2AdwwiEd2RCgqCes73iuHaqGFccYcKvzcYaOiW2RVtFH29ra2Gqfp9z/bqedLY
syQpBGWClVSQW+T1XSYNLdiYnbRsSKMS6r0YssaKKitGJvjxf3Izc2zfGPcwaMXnMUSuedp+ygOrT2xe
5tj54waAWxbAQqvNDEx2V/tlep+k9jPk2OexfYNW1TXIIqYmsyKnn7k6fVgS0OWlyPrv7j4X1CFipzUN
vPbK6UtgpSY+ZzkLuEKcOGSz89+pfkAVBERb2EGQ//YArQGBNqH0azB6ryLxvyWMWDKKAC4zeQgDwSro
QZFB90Smg31Z/oZQFmRzZ3AszkepGYCkVWC8GJBRvolGJW0F9wmHV0aXqwzCk67YeatXJ7+EOcIjyO9+
KmZ40NfWML5TFLlXVmMxMk2zAzM/cOkSthJmCZvr76o9P4StvrSNqWcwbbSatDuMCSV5RCNY64/PMuWU
rxY66WWapuAG+OD3x9DR4f1AwtIJE0lUfMBrgxDsDlcvD8s7Kwr8cRsWAleoHlaXQBWURqdhHX0iMfJF
n/PF9U8IGbTf58/8mtelPkPIe3XHyds7/d0CkbJdjrb4bEM9WJSOF/0UUPqkwe6ad0HNs+NlWlImOcTw
egqtRBAnUo/v6MWLhcxWM5//09hiYmoat2cB4BqIvxCg8rCiDKwr3ykSDVwOO9WWW/ZJTz2yhthnJC9n
5V5WVglABmcFLmvc2qumTm0rdw6aAeLwCXQWWjMVV+VtRweQka6HIl5XVqr50rvOGkDA8Nvl1y7jFIpG
UVtX78yM22Z9CNxbC7cOKJ3N1t4V6tOy25PSI6KsSB1Q2ewM2ISuOdSUohCoNWg2Jxecm00NZuA1QQ/m
Di+wNhWDsS7dIjkL1OWd1yoKuwLqDL7vVEW1Vd8Oh06RlxIxwQeIXWZWE50zaSP8b3rP6zQmv0a79IsQ
0fShoJYDpDIuFEmP29y4gJ45g3x7DK+LoDI8BAnIp1CHKvpufH26RMS2Z9QEGVjKuAVNklIS2pC0K/ba
H6y5x6fGEfbBZlYusQvKv9I22z87nFvX5NAIel9nslbxQDOOAIB++TAgGXzzWJySdDzAhwHdgy4A517F
5bgsNKWoZQ8GyNM9LzG9dhp37tYVU4YXjz6+C+NwmGBnxJ+qOiW1cnRVewFGJe8la0CmT8cjPp7lNAQl
kJwDDwchp8duTy4UG/2w7Pjrpy2LtLzCy5go9Ejz0IsN6nr5mqsgW5pOM1uCu6zDMQXQsE1Ny01VuLXm
4MrIw5O79y9LUTrdVf5it+xNRhUFlwEkr0Cz3h4YtsvQgXRZ5aKfER8KTVnmtZtT/eUVZ71BcT4N1z8B
OvYXndFWok2d7vhCy8aJZeE4BuaebD9KhNH/Q+e/D6Zhr/CNMK551kM3icNLx3+bb/FcZASP5EpUVhOC
WGviRG63ZLLsMhpNpml6S60r48DrovHOm+bSBFAA+J7G9+Fj/frFcyk/q5yhp22VgDvzCBD13z86+2Mb
ihaADY12Ur9v2WoDM2NwDKsJFDCg/exTWR9JNCRXH0PxCS1mtkUiIENnBKRiKpO7qTeuOrevw5ZTPjn7
0mCsXdWKX6STpNAHVTBJ+UJu0HVcSa95t1WOlwG/qaHGuFyT+pSxRIvf7WEOfZuFx/TjcA5p/MevRlf9
tRv4tBTbSLq/ttvG2wBhZ4cyAWCIoytHue/9Bew7qcpx4tkOJygwxoeXuBEp9rgpuLWpXUyyHFXqEC+k
1wLHeBOcODXIaEz/yy5bf28ydjhKjaNURFY7biRgOoeyGsA8QnKJtJk+OayE/2WaoCXULOves3ohBWq4
dMh4gAVtTflXFtfFdelLbL8Jy7i8Us0cWUE9deHD463qq3K4bGVYSswbUvWi4jcfSIHvmbcDSZmAZJKC
GmdUyVAgObEIylgx3D8Pl3cKIOUbxyo1W2OHFibNGdTse7FcM01aWZmuJH2KBSC5P2xD/TBlGcdeySk1
v7v3K1PBS7+jnp3Jo42+PiQbR54QvyMVkmPxwkrmeQccg4LprmKs1jO/IogzcC3rB9u/FgkCiO17Mb0P
/JZvpXwd9NXiiejWbBJTfy1z54yWG/BeUiagKmjSBmpjeVOBzx3EBw8jenIgfvyzK6/yAd8DCNiqmx+K
Z8QnJT7uMUE3RwVdChikJnxplJa9Nh2Eq4Q4wvD9DnIQOpzfPCSED6OiLNM4UoYX/F8V0AU5pjohKw7v
IwJ3dyOMWyi+CzFPA1DW8a64dVV5xSo048JQD7GHm6K89D+HMF2QjjIXDivrBI9gqqy4QJbCK0iXxPSr
fJlQr648Jy5ZabQF1mvnqiI/L7lJyoElKkcNc0Orqm9gvoK76E9VgHtCHVyxsHLzmDwIg59QOmBFIUlE
b+G1srleV6cZNO8sldSanui7VQivj8MCfgtVhNcup/DhXJyWcj/+F02TITi0TSPm31PHPbmpqZ99lpAc
Tzlkjj4907KVsQZnT4i/LPBvbLp4ZRhAaui4KvAnr7ID+TxVF8zWq3f59BlRWee74A2BsoXY/kZEwUsO
ZtFa7mTOnnXtecYtzZRDYladjMdp2OqOrexHvnP9micR19j9AIsxytW2wkjo63Gcdqd0l6d7tOmm0ZpK
rxvT5lkX8FspERxmZzyhBt5BW5II+ure0/qlEFWQeEBpK1468QT5u4m2U3SUWcrxdMhPE/oO6vpFCGYJ
g5zWuRe0yzBLwdSbqXkpSDHjqYoNmQ972gP9Xb+9SCmC/V4sM4X0JuJ5G9g4VCGcP3UuugeYmDASWv0v
BsOpbaCZMujN5oFi6BkyhQcqZH1dgDInbl3rhjz02TEozxV2ymYqu9ULvQ9/EctFLoA/cihPbzbJYioU
N6WOY1TQA+NoTzWZzwQnZOJKsVBR/fJxFoCaPyWYNggpUgvl5DuVrNW1q72EqTNQI2BIOYjdu/vlhzfM
zsVLgz0Ce1tOYbU0bOdbqOmRPq3VX+u4XoleRLR/2bHzNEDM3bieMrBvUo5QDVBCctogpcVMo7jus/oM
nTBOyktGc6ZtrqvCBFH8NY5TB6xpDvriqXQ7TXc79CdRIgPJChQ6BNS9oQmKD43jKhSw1QQKZO1ljds2
dFjzJQ/pyaWtyZ4x3bGckghADIZrOXa+0xmOjwkqROUXvBRr7J0KIFQ8xg50Jy8W2b8hv35iLZ0cDE21
KVQpcylSQrrrvHa8BU9ZeNDGe2Zgo9wN0FWTnJOE3IUG0oGqGno4J/GCABmX0VDHuhQzYWYHH4rE3xBa
DXBtY0/WeDjFV+U6RoplaND5GM6A3EzDQ2W6WtVMtccIUhx1ap9+4od8AR3sfn/jrYajAO6rOUrOAnao
T2K2/3QwbapX+bAh0hZbVpibS9xRTClibwdRhNTItNopourE6iiZD4YKFipZUK3/yBUVABB2p9gLPa9X
Z2jAcyjeJastns/PJ5bOrW+sU9Q1LU8eMmcKEWBcAZR1CRVUhSf5YCpQaiRPbBclyazC2YjaL7a7jvdB
yyL0MA/++6RLRo5puMY5MaTJF7ubtmv1qgW+yaMdYP7HsQoj6Juymz2UwXZEKmceO4ToIz1Rkg1qulBR
luMXl0+3wDmK6m9rtbTTxjjbedTLOEr8B4ynIo3+hj0Pad1DHuMat2LtZGq7irGcPSzNFolqTJTnWX2f
o9idEyrYHF8MkmITX6e89/rFdPvMGCsw8Mx948/T5dckqPUe0FF2GTSlZUsgSwZb/zID0hb7F/2FfYlt
K3Kkq77ghz4JRBDrSqfLYB+OiSviHZ2kAUlp1UyMZSkw8fW8Sm/R2xzAoxdujyJvXurJRbM69hRG78RS
QPy/0V5bHXkknVC1jRlRiTgWvPxX0B+Iupnr7rgNReD3Ce3MTjgrgBuQAXNHBURlCszi8KtbG4Xzrwx1
66Ec7z30AnPYuIVGW8PvX2DFn20ewyTRbgB0IVviot7bQ/soABAerTV+LNT426nb4cPGs1PqxlwhSLSe
r6KV6sWhQo4t8IPWIQS4ikNrQ4WrHUAWciu04S8mKMHiWq24JXvgs+j9Y8CZaKpOa2sXNxNHyDm5G86D
16GGF5hCG9g9xOY/QBB7Ihug6GIsGlUOr4g1qlIMrro8uK1pwRfjTu0RNPzZKXoRMQsOwiJcJAYqtse2
b0IwM8Z2IO4/ABmtSSckGvr6cdUNNqcMYScvmuAaAkzPrEKZnk2SSXvf9WWdKVpY4p/jcq7AInQjd71Y
NFDjFTGDScHlMwJ0AGTd/Ao6Ksm6XPpYUEnnoVNLstTpPdFpMRu8ebe/S4qQs4kyfJqOJFI4rOoebIKj
JzZW7F1Cl6JosUBTSVq4SOTkBUAGzj9BEJs+4FZkUtGdW4XkTMn899IccVEjti3Wky8tbD/rUtGNXt/X
wCCLmWB6A45pT7J1IGAy5/EdM/0lYHWQhSUMr9Zn8QEbvuZJmJ9DnbnueWJHjBZKX3CmFRWLyQL8UWzn
8pTqsObOanGsgsbcUWx/XsXcKnA6KGhOOz+4uKretAvoX9PyDTkDY3hNGzR9ALI8at5+9U/UnEbye7zj
brrPvcRGcCdPSe4jJlkQgTP3nDR/oHnjvRkwCfHt4KRbJzJFFV3NkyjhEH+F+ffG2rTsqOcaqEzETzrN
xX41GDxyMMGPsyhbq2cs/ObplWyBPRqUb8uUB7G/gMdKKpaSedxlKqMib78yCz1W9Btzp+c3ajKHxWN1
S45xJzvObf2cMyfXAkRiT225otcQvkZpVQMkds/NY6OFoC+M5TWjvnQ9uzWl3NGajq4hx5szbN6KFtyG
8Po3xr5jXguVsO++H0Nur3JHqmflZa/7j0kvixZ8aQq9J119Y/9ypy0x9DiX+FAaJkbQzmH0tNRQg5mD
2ynnEyubNnt1L3e+bwBJL4mkdW+cjC7k9Csh8LS5Max6DwANJAa1fE41wfzrJgQsS0M/ky1d0ypIDaFW
jGlTsMdO3Y8PUOmaMaa0QkclT5AEvwJu1iAl/Ss6JLRQ/zEHbXhHNNG8kYdtXxD4jM8CMkqH+HG5sk7b
FHQUry13fRmyDep4DZlJjfLy5LUFzx1H3k/x5BhtyIFSwc/uzw4nmnt5KxGdlCNugv93Jw8HZDv9eCO4
kn6VbTCBnli/dH3olfKwzGNoiox6k6LY5xfKnkL8+qFHxB/xcSr/pyx/bNz/QCFR851r1pqh2aUhDuup
AJ16CNf9SIAD424z02mxmwb5nuNEhPeb3xtQR6d1EYgcPSuMHmGLNw9GxgTFuSxI3NJx/uAeCWaNBY7C
6R2II0ODafPAIsoVV8L8+H2JLH7KNTASzArVjgonD1v6/44KMk0I/BAK0HR6/5X+XaT3vD2A8pBFAHhD
tfO5nnfD42mm2p6h9qb9aBpN8wTEtANtwPuz26xaXb46+p8LslK+P7RDxjxrq35TuORNTbn5lTqHJK3+
hmc1/gHrC1Ymx0hyZMx75Rr/ySBY+juvjS1mLBFTHj+w292wWehW0WOu6LlQ9xk32CDFnImEf0BY5+7f
opmgwey6ulUHoM+kQ80kSDdo93+cd7qwQkwQB+cDK2vTsaqapH4pB2HcImIbqv+j2+6cAbZ6nPI/1Zoo
7yNzUnoPv7hEZW78+gzySd4sDgKukuvra6rY7l+HMtKP2lJD5nlfF+LVEbI1kh2y8RZ941hqHUkMTRon
J8QaM51qiCQ93kqgG/F9YP2H3F72PjQTimsjhgR0TCpDOtZkEYnh5nf8J9vjexOoYC7NU/iROTvmTGsJ
Z/elDNgO8EEEjXPBJunq1cfXKQqQgZ2aI5fuuH+lNdZE9FidEd9qvlnh41zTw/D1Lbrr8VptwD8ax0up
wgqDxee0uiMsi8w4xfVDAFq+6OyoLqCe2uBWP692xr7JHwDv8Mu5ZQ+yGoqBjiNGybIluebdgoFe1ldw
NcFVyR7S7XnwIisuTCIbzkJmjy76s5j5bXnJ63pyyhzcdy0uZPnG46/zwXz+yewxMmpApRjsXdcJ6D/y
VPu5kQBovaiRuYzyrvkXLA1mILuSJGqdrCZoi9Rq5nSV20ggv37beQf80y0YfVqDvfIP/HOJHfhpdTr1
5gKbOaI/ARrmJi2rGp00A5ahRLGu+HfD8BVAOeo9fC8Lxbjdrv3RxxHBsHg5tPixSR/37sCyidWJ+zat
ygmjt1dyT/JioUoqSCYEHG5M6MoItmmFrpcm4ZmI9E49dorrweOau2gYJfKJQQ/9a3b5OUVScbIha5Ic
olNlY8CHQqTLhgpIxoMIL0nEf73Is/NVhszSbUWK+gggn8GgXjAwqL1lVm/R6rfkub+Q8KXlBIKmq+NR
3bHRXo8JSi2zqJ/6CkmfXskGp+wOggBF8k/MYLdnH/dxNPdN0D0K7MlvLyf/dj2bwDJdZKM8i/pT7MRE
uf5vHN3WEfhzKWlQz6XaSPudKc68YaQwRq0YjlVzGRActBYkQdwKPK7KqDQhz1Cj8wcQCI9s146TnkZQ
2BexTiirushfKfXHXcS6QHrhwBNkEY/ZDRQR9zKmTDrwhvoXEAv9T5AzQdaKkwR9zw/R5nqtg6RGD16a
870sJirplsRzfO2N0l6srWxRAgIxcl7iryp9OyB2PsO53e1GkGnPb4JyJEJ4Hfb01T2gWSRyky3HDLz9
ddNOwtcux6TfiJePgBMjD+9gBuW6k1DL5Pg5RhCzfuJeMCh8u64QF31nrDKdZqrK8cVrdImxmkoQW/+f
FsR/mIAIXbUbOufrcAXMmjW47aFeRhlvvu8SBliB+UknSwA8keFrskU1qNbJX295IChd4W/Ers+fXQHN
BJo63OqH3e1Hg8+0UvjYZwiGMc8s2Rcz/8QAnzXRf89ZZ3aFZtnp5SHd1dbbXsfRQ2YHKDYvqKfn8OpK
am92aMd2XzRJuaPeX0qIAyntMuFG11h6H1JTzzcQMZOst1MRFiAqmx1FZ5Ir4tjLWWM4GamcwEhjDhB1
R7itigduHQutl7uSjiJlWs+Zeakv7dw/QIdMI4leosSpcbxnxi8gfbetD9NkwYcbHU1mOt8qACUzyzr0
1J9BALPrklgDuvnDn1MuvTufIWb4ftEnqP4MVMzqZgmn+cySyCAmJJ0cHiWt4qBibFRcsP7lCY049s3p
XQHrgn4NqYfngBNzf6WSiYnYO1gRKDPQqVxtIDKw0VIlTIGi06C8xGhT/puQkFUCxK9Ud5kWTI+jMr89
TCUeOY49gi+X0SCt3g9RGUiCAkyn9JctAxcCHk75iPo4fvbsS3IrDTYLiYdJ/DEplV3C49mPtKn/C/rR
H8OL77PxWeqZMacREfZJPGFQWSFhFAfNXvh+xv4UMFY22S9ymiRN6Z8KFlevaegKAABuAwAADgAAABoD
AFwim/gEQ+yfOd7iIoOftscRbxHu4gOMqql478YkhzM+ylUfqBOYQGGcW7c9SnfumVmhM3pWVYWm/w3o
TvBWZgxcd/BZiSHYLFc8Ad9BY/gs9Ao7nI2g0U7fgCa8WKnmHtkd2FwofPBK2BU2qnzMIIljkvxtNGYT
uvEtK5ty02HAnRKuUpu4xuARCyTs+RCbD+XPFtj6yL7TrWn9XL1+N8C4G48eGAULe9+93jxy5q/pA70q
HLXvcW0lWwZfHKtK+fzNIYbdGjY9ODTSJ9zLNsOTHjEwzPBm/InQyjPo3kdzJgRWZ8F4dRFJlsqD846K
XrGRP6Sbyjpxo56nQynO/7ELDSZ+bwSMUeFtmkLnDsp7vprRSs4f4MDbMcmTUXF4t6qCFfn7MRUAdJ1h
5vmotwS4ohEGUKboEuw/I730WCwWXgPKeX3lTB/QuTAxWMXl2bKr007tiRksBIjjDwoWjnUL/kYvUUtj
DdNdfaJkCVZGAYkoX4BVtbK20jXKcCzv0BCmtCgj5FC1sFxuF14+ZqD+nN5SRic2+z97uDGw+tsJatOy
EZ2Z3KQNaWxwPMy+oH8tynxiMOnIVQbipdvkaatispESg8Im5LE9ArMUO8I2+8zy4M+Ymow4B7C8K9ue
Z3e90ysn5b6DZavhungzETqiY2D5Al+5d0qfkqGEI62Wf3O6gsRfRFY47U/jKQremtC/L0zeO7559cx2
1yucBQdTotZiXhONogvbXbsx71WHt9LYv0uC4Nd1nRm0rf0ghBS4qvJW51gcMt2h2tRwRToTpPVDa/Sy
kfim1PenJxZXs0EDLJe0zS5FAc/P+u9y2p4ImFB5li3KSiiSPj2Aa2hrz4+CF74yTi8KMOgDS5VTtQc2
MHcBakZ8+9uH5nHxClb3cZtlmWjbns6tEOIzWsBHC50EVHJJ5BjgxcOrDWvyi0lmad+t0wxDgMzPgs9L
T/lpMiYiHZr4geuwMrovC0+fSVvT6P1541uswSWngBc1Bvo24aTsoeELdyq8hKJ2X8U1FWTaoA9MQw+C
aGZZZgT5MZjS1ORLBcGnsnHK312EXnzU+e6I5ldDyJ3fnqVfdJzpD2iE9P6zqzQ542P8Du0oIQJnXdDZ
Yaws5iimielwz/nbJkzCql42ooCn3C+/bs2OoY2UOpsp5JIEUAUAAAIBAAAOAAAAGgMAAGp+1iE4Y1PU
DLH2uR9c7GPtesf8WjU2Xsy2Y8R3OKE+sDNVw7BRw0JtBHGy7V7keDtT8V/Fz1Emu2LxaoxTxjYb/DVZ
mJf8FnFw0XJ+YVZrFVBQu+jq1/9UWxgwFugnQ53RO43LUvz7fd3JLfI+fi3Xti09HwuVnFR/Jelg2DAd
IfyXx9gcZZjUqgJpfveLSZOAFAvZ9sCezOY1GoXl6dCYTclFY+gY0k2kGb/y/bmyVioXVtI6pC0y/s6M
/wOAbBJX0Gw1PYZQ6L8ZpkscD3SmgToLU3Os+JXjlCWkv/tvlKfGnTcTq4kNmW96KrCyTSmU6MECfg7m
UKpl5xNIAAAAAAAAAAEAAExLAABQUujtCwAAVVNRUkgB/lZBgPgOD4VnCgAAVUiJ5USLCUmJ0EiJ8kiN
dwJWigf/yojBJAfA6QNIx8MA/f//SNPjiMFIjZxciPH//0iD48BqAEg53HX5U0iNewiKTv//yohHAojI
wOkEiE8BJA+IB0iNT/xQQVdIjUcERTH/QVZBvgEAAABBVUUx7UFUVVNIiUwk8EiJRCTYuAEAAABIiXQk
+EyJRCToicNEiUwk5A+2TwLT44nZSItcJDj/yYlMJNQPtk8B0+BIi0wk8P/IiUQk0A+2B8cBAAAAAMdE
JMgAAAAAx0QkxAEAAADHRCTAAQAAAMdEJLwBAAAAxwMAAAAAiUQkzA+2TwEBwbgAAwAA0+AxyY24NgcA
AEE5/3MTSItcJNiJyP/BOflmxwRDAATr60iLfCT4idBFMdJBg8v/MdJJifxJAcRMOecPhO8IAAAPtgdB
weII/8JI/8dBCcKD+gR+40Q7fCTkD4PaCAAAi0Qk1EhjXCTISItUJNhEIfiJRCS4SGNsJLhIidhIweAE
SAHoQYH7////AEyNDEJ3Gkw55w+ElggAAA+2B0HB4ghBweMISP/HQQnCQQ+3EUSJ2MHoCw+3yg+vwUE5
wg+DxQEAAEGJw7gACAAASItcJNgpyA+2TCTMvgEAAADB+AWNBAJBD7bVZkGJAYtEJNBEIfjT4LkIAAAA
K0wkzNP6AdBpwAADAACDfCTIBonATI2MQ2wOAAAPjrgAAABIi1Qk6ESJ+EQp8A+2LAIB7Uhj1onrgeMA
AQAAQYH7////AEhjw0mNBEFMjQRQdxpMOecPhNsHAAAPtgdBweIIQcHjCEj/x0EJwkEPt5AAAgAARInY
wegLD7fKD6/BQTnCcyBBicO4AAgAAAH2KcjB+AWF240EAmZBiYAAAgAAdCHrLUEpw0EpwonQZsHoBY10
NgFmKcKF22ZBiZAAAgAAdA6B/v8AAAAPjmH////reIH+/wAAAH9wSGPGQYH7////AE2NBEF3Gkw55w+E
QwcAAA+2B0HB4ghBweMISP/HQQnCQQ+3EESJ2MHoCw+3yg+vwUE5wnMYQYnDuAAIAAAB9inIwfgFjQQC
ZkGJAOuhQSnDQSnCidBmwegFjXQ2AWYpwmZBiRDriEiLTCToRIn4Qf/HQYn1QIg0AYN8JMgDfw3HRCTI
AAAAAOmmBgAAi1QkyItEJMiD6gOD6AaDfCTICQ9P0IlUJMjphwYAAEEpw0EpwonQZsHoBWYpwkiLRCTY
QYH7////AGZBiRFIjTRYdxpMOecPhHkGAAAPtgdBweIIQcHjCEj/x0EJwg+3loABAABEidjB6AsPt8oP
r8FBOcJzTkGJw7gACAAATItMJNgpyItMJMREiXQkxMH4BY0EAotUJMCJTCTAZomGgAEAADHAg3wkyAaJ
VCS8D5/ASYHBZAYAAI0EQIlEJMjpVAIAAEEpw0EpwonQZsHoBWYpwkGB+////wBmiZaAAQAAdxpMOecP
hNoFAAAPtgdBweIIQcHjCEj/x0EJwg+3lpgBAABEidjB6AsPt8oPr8FBOcIPg9AAAABBuAAIAABBicNI
weMFRInAKcjB+AWNBAJmiYaYAQAASItEJNhIAdhBgfv///8ASI00aHcaTDnnD4RwBQAAD7YHQcHiCEHB
4whI/8dBCcIPt5bgAQAARInYwegLD7fKD6/BQTnCc09BKchBicNBwfgFRYX/Qo0EAmaJhuABAAAPhCkF
AAAxwIN8JMgGSItcJOgPn8CNRAAJiUQkyESJ+EQp8EQPtiwDRIn4Qf/HRIgsA+nYBAAAQSnDQSnCidBm
wegFZinCZomW4AEAAOkRAQAAQSnDQSnCidBmwegFZinCQYH7////AGaJlpgBAAB3Gkw55w+EtQQAAA+2
B0HB4ghBweMISP/HQQnCD7eWsAEAAESJ2MHoCw+3yg+vwUE5wnMgQYnDuAAIAAApyMH4BY0EAmaJhrAB
AACLRCTE6ZgAAABBKcNBKcKJ0GbB6AVmKcJBgfv///8AZomWsAEAAHcaTDnnD4REBAAAD7YHQcHiCEHB
4whI/8dBCcIPt5bIAQAARInYwegLD7fKD6/BQTnCcx1BicO4AAgAACnIwfgFjQQCZomGyAEAAItEJMDr
IkEpw0EpwonQZsHoBWYpwotEJLxmiZbIAQAAi1QkwIlUJLyLTCTEiUwkwESJdCTEQYnGMcCDfCTIBkyL
TCTYD5/ASYHBaAoAAI1EQAiJRCTIQYH7////AHcaTDnnD4ScAwAAD7YHQcHiCEHB4whI/8dBCcJBD7cR
RInYwegLD7fKD6/BQTnCcydBicO4AAgAAEUx7SnIwfgFjQQCZkGJAUhjRCS4SMHgBE2NRAEE63hBKcNB
KcKJ0GbB6AVmKcJBgfv///8AZkGJEXcaTDnnD4QqAwAAD7YHQcHiCEHB4whI/8dBCcJBD7dRAkSJ2MHo
Cw+3yg+vwUE5wnM0QYnDuAAIAABBvQgAAAApyMH4BY0EAmZBiUECSGNEJLhIweAETY2EAQQBAABBuQMA
AADrJ0Epw0EpwonQZsHoBU2NgQQCAABBvRAAAABmKcJmQYlRAkG5CAAAAESJy70BAAAASGPFQYH7////
AEmNNEB3Gkw55w+EhwIAAA+2B0HB4ghBweMISP/HQQnCD7cORInYwegLD7fRD6/CQTnCcxdBicO4AAgA
AAHtKdDB+AWNBAFmiQbrFkEpw0EpwonIZsHoBY1sLQFmKcFmiQ7/y3WRuAEAAABEicnT4CnFRAHtg3wk
yAMPj8IBAACDRCTIB7gDAAAAg/0ED0zFSItcJNhBuAEAAABImEjB4AdMjYwDYAMAALsGAAAASWPAQYH7
////AEmNNEF3Gkw55w+E0AEAAA+2B0HB4ghBweMISP/HQQnCD7cWRInYwegLD7fKD6/BQTnCcxhBicO4
AAgAAEUBwCnIwfgFjQQCZokG6xdBKcNBKcKJ0GbB6AVHjUQAAWYpwmaJFv/LdY9Bg+hAQYP4A0WJxg+O
DQEAAEGD5gFEicDR+EGDzgJBg/gNjXD/fyOJ8UiLXCTYSWPAQdPmSAHARInySI0UU0gpwkyNil4FAADr
UY1w+0GB+////wB3Gkw55w+EGQEAAA+2B0HB4ghBweMISP/HQQnCQdHrRQH2RTnacgdFKdpBg84B/851
x0yLTCTYQcHmBL4EAAAASYHBRAYAAEG9AQAAALsBAAAASGPDQYH7////AE2NBEF3Gkw55w+EuQAAAA+2
B0HB4ghBweMISP/HQQnCQQ+3EESJ2MHoCw+3yg+vwUE5wnMYQYnDuAAIAAAB2ynIwfgFjQQCZkGJAOsa
QSnDQSnCidBmwegFjVwbAUUJ7mYpwmZBiRBFAe3/znWIQf/GdECDxQJFOf53TUiLVCToRIn4RCnwRA+2
LAJEifhB/8f/zUSILAIPlcIxwEQ7fCTkD5LAhcJ100Q7fCTkD4JF9///QYH7////AHcWTDnnuAEAAAB0
I+sHuAEAAADrGkj/x4n4K0Qk+EiLTCTwSItcJDiJAUSJOzHAW11BXEFdQV5BX0iLdfhIi30Qi0sESAHO
ixNIAdfJ6wJXXllIifBIKchaSCnXWYk5W13DaB4AAABa6MUAAABQUk9UX0VYRUN8UFJPVF9XUklURSBm
YWlsZWQuCgAKACRJbmZvOiBUaGlzIGZpbGUgaXMgcGFja2VkIHdpdGggdGhlIFVQWCBleGVjdXRhYmxl
IHBhY2tlciBodHRwOi8vdXB4LnNmLm5ldCAkCgAkSWQ6IFVQWCA0LjAyIENvcHlyaWdodCAoQykgMTk5
Ni0yMDIzIHRoZSBVUFggVGVhbS4gQWxsIFJpZ2h0cyBSZXNlcnZlZC4gJAoAkJCQag5aV17rAV5qAl9q
AVgPBWp/X2o8WA8FXyn2agJYDwWFwHjcUEiNtw8AAACtg+D+QYnGVluLFkiNjfX///9EizlMKflFKfdJ
Ac5fUlBXUU0pyUGDyP9qIkFaUl5qA1op/2oJWA8FSIlEJBBQWlNerVBIieFJidWtUK1BkEiJ917/1VlI
i3QkGEiLfCQQagVaagpYDwVB/+Vd6Hr///8vcHJvYy9zZWxmL2V4ZQAAAQAA7wsAAM4HAAAOSQUAGgMA
dBJ8Ggg2Ct9V9xgLKdkVSgc8lNrznlW1S45V2wl+X5UE/Md+tlQh0J2Q78Q0UpLEkvMkEVOMvrWYHeWK
wfCWH8VCvgC1J42rmOBud3GA7U8RabBaL9g6qcTHce3S8gKIFvfSA/cKOO+HXIuNUdCDmrOa8ymHgcDo
Y340fNMBlzyOpUahlOIUj3wqfUmOmu0vq47s0wfaO5P0RssjvGN4xBPwg7YYM5aJICKBEs+R93MkFN6K
Kj6VTMAsaSz4iVWXIu4K7rTy7/Wp7aArygughxW4PhrKLtAeCykomF+nXLyw9jIiwGuT7gfvLDfIxJ91
u/oQDEtq2B2Jg2GXeJRyiyj1uhTWkU58jq6F3M7XLUwNobzhFMZ2odgA0cu00VTvaIdI9tLd62JQVDv+
bEq/vBnLuDPrSzAYp4T7MQGqS5VBulBhryaxzRo3OU5npumW9RrgqWXV0NudUk/AsMGz59quhLszskP+
uQKQ9usm/Dybh5NBaRpmBK/whjPXuPeasCqosawPQMl3O/rl8wvSDQbbbJ1QE4lOesdTtKiSjceNpXMM
0cRwi4wzUUkJYEGz+FdM1lNFH/ddg8T5Ntt8qJa865ElSoT8BG0dd458cE1irdpSiKZmploA22mw245a
GY5uyWZ4rpZz9T9Pf0F3GosTDWiOFewCXnj+E83GqhKw7k7sP3IGYiyGGCb0cY8UPZCR///kvVH/+1+i
/sHIJejQHJtQ/hvfxW75xK+QIsjghCJPWJQM73F0SipRjCydGR8G2HCjXKQoc+9Z8bIIecaVO4YpijXy
3DrwYudwDktgQbRfds+sZf9Djx9ThozAFWrYn+ZmED9pwWChkQbKsT++Cv8vdij6iguajUzjRCv5y4hG
uPhTYsc2S3MSmkOGpyfu1a9XwLY/ZHiAm8fFbUR6MfdKXwA/8sAU1mmPhE04OGxSsHLDV77RgxvSDue+
rnrux8Zv6C67+nPck9oYYFh+fMhVrxD4r1wt+KAIB6M8GJVMVKmw+p3DzIOdyMffmqIBB85egNwWV6ok
zn7wfWb2MyvNMOjQ6zm5JYZQ7SFihQeOmTmuYXLep1Y4ootMzk5cdaGeVbKqVdFTkodVQ6cWElGzfIwM
4rHT9FvYnjpRX+SXPO9v5qJ4trr97K0cb4/GKdak6xt1TJWgtbchLe9hwTIkleznYFed0xE8sWIvLhVu
Yzlh3Pmf8pKGXxHpjBD7nItCfJtXEU44JigeMtfOKMuabQ0JXGnw7+jb3EIsYglZNgyLI5Dnq/49+oVP
rbYKxnIjKWXnxEwehTGRF+4+WV/lq1G81IJFZ9WUrK1maDJxF4YHWvbFN7z8METGgMITIbw6HYCSsjdD
FrKX8StYFrnB+F4sBbzkJj39nU6ELR5FQLIq+oGCY7XtqZuiYmPttuNz33+EbrVJxVFf9DAF8aEt2ID6
JXw5pzZb+YdkVl//Fk8t389P2h/inlKntamGTwaZ87fEi7+oJMmLxZsBSOtiztMxUGioSbuKcoxwm5w0
glzyCS1q4yDMazPcbfhNZYiOAlBXIc782gsmBXEW+7FldrN3Aay/+HhGqMKWlxVrJ+/S3Z/jmU0XC7Pu
O3Pl0nXGihButJ9RHZxVLZIbAYloM42FJGy6JCzHgAiU7+91p505cKnuZCiASNpgMuFBZ/LBuRL0iz2K
yc3znZFuUcq1XvxEdJKHvPuxMwrlVMasLJet50rdt3EJCvc02OMWUaITg6Ft+oBs6o9Z+Nzryr8ILu7U
fUUm74lcKhcHZfLrf95IF0wGtS/NuBXmoiUgvcdKT+O9xcF1qpLCWWGZ9/xNvzQMpTYYYN6HpuoABn9k
BjLdrzca2NvHt7cMXc6eKc9C4Z63VrKb79vxvDAKhyT1AmGLTNLpvVLV3yxO0cgGl/DnIteJhZ2s37Ko
ReDkoXQl/kT6EiXpj7N2Zf6ueJOpiuQGGPH6+8EK9lYA7hTXW/mw96pMXS5Ukcl7i0bddV1a2wAtxgQU
48UsbUg7oSgCQDxsmpt8Ke6WJCi+14qpfPMGd6h74A/msBUzct7bWqlgLRgGBK/7N7tI/KmpKfUZbjLF
Ai3C5GT6X8sBzI2C3YG0K72Cg4syBi80tB1qCVxhvumU8kSAN5CuNty70VhezdDnRwZlMug5emzmKJ/A
Q76G/W9ipGhW7azivTBOQfpmNF42IXAkagjH0yX7a1TArVr7eYhFUe3ZHI68WnBg25k4mQ0xDsewi/pN
FJngxe42e3rX2OtZ6kb9d3nhATthnxOJhaWTnsXjTJQmPMm5tiLRkEk7wyVuwP282WGG7Q0gdlrpA8td
B0qZ/7wm0dQkdT6HR6sAL3P3+tGrS4vpVA0/EqzpsqlpKGlFB3vGIOT15WfQK+CnVyf9yvPeqJMh3Fix
4Nm3izs06j5pJNxh6ZvCKcroz6AyDTExBCG+S5E9NqXJvd1CDNcDNwcpmuR7YxW8YlTqHG293EceWZlu
uET3L4qFcIUSAUHixGJZJbOY7t1mFa2gnPwGPMo51tubcLmdy70wop1+SHs3zxYg321mUUTJHgctLnMT
ViwYxxgOfQVaZCflcEf6stOdezftGM32l6+bHPF729YFFwTLkImZJAT11T/0JDZIImCpSfySo3al8rPj
xrChwrjLELIgNe6nCcVjAIgOAAAcAAAADgAAABoDAABv/f//o7f/Rz5IFXI5YVG4kijmf92KHACKAQAA
CwAAAA4AAAAaAwAAb/36x72gAOgPAAAdAAAADgAAABoDAABv/f//o7f/Rz5IFXI5YVG4kijmo3yHc7UA
0AgAAAMCAAAOAAAAGgMAI5DsdCAVOzfiCDZG/zcyDuEeGQl1yspfUB3N7v15vrBcabGfaOdeITYPUyQN
Nbso8dgGS4MZq3A72hGg3Hx0UvH6PXdGRMPYccHnAXD/RmS4q6dQ04bGfZPO5uhrd/J00GFbCHYR4hOG
3PKivFKA6Bf+Z2i29iocEVtE6c8mP3bKvBD2i5j7SkxxTj6i8C6D+tovxPBEFAs49Z7+oODa0/b78yKm
s6RsXvXdxR+THR9m4mV9ORR+uVtPtAbBMf/iyEubNcaMgj1k3kvvtiSe93VxwiPjXY5ZzEIAFY/JrW8u
FJgN/zxckX3NhMRVQoEiV6pMFR7P2jEjZOv/nIMaa0zxubQhtibqK/64mvl8tSjXS9BZPV5vmVJZyrJl
wcx3QKdu1tzZ9z3XiwKHX3R5xzCyoHqnLL8Z3sXgem4UrUx2vcEDkSxvCZHW7/G4Ar++Td4DTLMcUBuo
TwtUIAc7AkL9KsVa/zTo81zuP805POiLAtK4cul0t/PHmknRkpJBpRjpHZNs6Km+m7KpWsx9ksLEX3R/
GOJFgk6GbwdTfxkXlOhmN7yu7r+CyAdu7LdsWM9YqC4P7H6LaUJbO18Us0qWcclciJDZp3soC4oU6Gy2
IbTSaJf+FwaSaZA3W8nfd4qHAaMoqJSoEiBKkzZRlZPtVGyCHtXeF7YgO0K6ogAAAAAAVVBYIQAAAAAA
VVBYIQ4WDgru5t6JAcU5utAIAAADAgAA8NgAAEkFAEv0AAAA
";
0