IABs offer protection against inflationary pressures, making them a crucial allocation during times of high inflation, but also offering many other benefits too. Here we discuss how they work and why they’re considered a core portfolio holding.
Background
There are two main types of inflation-linked bonds in the Australian fixed income market: Capital Indexed Bonds (CIB) and Indexed Annuity Bonds (IAB). While both types of bonds provide inflation protection, they have distinctly different structures.
In this article, we focus solely on IABs and hope to dispel any misunderstandings about this unusual section of the market. IABs can sometimes be seen as complex because of their unique characteristics – which is unfortunate because the core principles of IABs are easy to understand and the benefits IABs provide can be significant.
How they work
Indexed Annuity Bonds are surprisingly simple on the surface. They pay the same amount per quarter, each quarter, for a set period of time – but adjusted upwards for inflation. The real purchasing power of the payment is the same each quarter, but the dollar value rises slowly.
The formula for how much money is paid out each quarter is easy to understand. Things get a little more complicated if you try to break down the total payment into an interest payment and a principal payment. However, even then, the situation is not too tricky as the concepts closely mirror a standard home mortgage.
Starting with the easy parts: an annuity and an indexed annuity
A nominal or regular annuity is a stream of payments that occur on a specified schedule. The stream of payments is the same each period regardless of changes to the market interest rates. It is important to understand that, unlike a bond, there is no large final payment and no specific division of cashflows into a return of principal and separate coupons. Instead, in a nominal annuity, the return of capital and the interest paid are combined into a single stream of periodic cash flows.
For example, an annuity might pay a constant AUD1,000 each quarter for 10 years. In this instance, there would be precisely 40 payments, each of AUD1,000, so AUD40,000 in total.
An indexed annuity has the same structure of repeated periodic payments, but the payments are of slowly increasing nominal values. Rather than a fixed dollar value, an indexed annuity pays a constant purchasing power. The dollar value of the payment moves up in line with the movements of inflation. This constant purchasing power is embodied in the value of the original “base payment”.
As inflation slowly increases over time, so too do the index annuity payments. The first might be AUD1,000, but the second could be AUD1,008, then the third AUD1,012 etc. – it depends on each quarterly inflation print. Once again, there is no final repayment the of principal in a lump sum. The quarterly payments are the only cash flows.
Indexed annuities generally have a “floor” which prevents the value of the payment from dropping at any point even if inflation is negative for a period of time.
Mathematically, IABs have the following formula for each payment:
Quarterly payment = Max CPI / Original CPI x base payment
Where Max CPI is the highest CPI index printed since the IAB began and original CPI is the CPI at the start of the bond.
The more complicated part: Splitting the cashflow into principal and interest
Although an indexed annuity bond works by indexing the total payment and doesn’t mathematically distinguish between coupon and principal, an investor might be curious to know how much of each payment represents interest and how much represents the return of principal. (The Tax Commissioner might also be interested – though note that FIIG does not provide tax advice.)
Let’s start by considering an inflation-free environment and separate the coupon from the principal there. An inflation-free environment is equivalent to a situation where inflation is set to 0% for the life of an indexed annuity. In such a case the base payment would be the total coupon payment each quarter and this would not change for the life of the investment. Figure 1 shows this scenario, with the total payment received (base payment) remaining constant. This inflation annuity with indexation set to zero is exactly the same as a nominal annuity.
However, if we treat the annuity as if it were a mortgage, we can see how the principal and interest segments are split up. This is shown in Figure 1, where the total payments are divided between principal and interest. As happens with a mortgage, at first the payments have large interest components, but as time passes and the principal is slowly paid off, the interest component falls. Notice that the quarterly payment does not change.
Figure 1:
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)
Source: FIIG Securities
The first thing that happens as
we introduce inflation indexation is that the overall total paid increases each
quarter. To demonstrate how the cashflow on an IAB increases with inflation, we
have applied an inflation assumption of 2.50% (light blue line) to the base
payment (dark blue lines), per Figure 2.
Figure 2:
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Source: FIIG Securities
Figure 2 shows the total
payment, but the indexation applies to both the principal and interest
components. This is shown in Figure 3.
Figure 3:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA6wAAAGDCAYAAAAvXp2OAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAKExSURBVHhe7f1tkH3pWd6H+kPyKa7Ki6lwPpwi59hRnQ+nkkrIFyhiV1wOyalzTkw5ll9aAiGDiePoBc0MiIYIawBhV0iJw4EGCQTIgmAUBHKakRFIAskyEuL0vEiaASSNXj1qaZg3vc7IGqRZZ/32Xk/3Xqvv575X389eu3f3//pV7ZL+61rPWte117qf/dyz9+7957761a/+av94ux566KGHHnrooYceeuihhx567Mvjz0H/fz7WCSGEEEIIIYQQe4QaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEEIIIYQQe4kaViGEEHvESXd0cNAdHBx2x6fDpstw2o8/ZPz6cXh03K0P03jcK4M8h93RyZZMV5+fG86Nuy9aOO1Ojg67w1snsBDimqOGVQghdk5ZPN9Ki+S5tDQQZezG4+hkol2v5/z0+HCLnr3nZ19Yojb26b5YIt/lWd9XR70bIYTYf9SwCiGuFeuF1tUv+Jo4ORoyHNjvcpyedicnJ9223lSLOD057hfR5XkdfB0d7+z8YxoaiLPntV+IXxi768ZkGwyet9VUus9Pz47vO5OoNjLs+r7wnscl8qVY59a7rEKI64AaViHENeK0O978WN+1XWz1i0XvXZZhUbt8vuKj9tjiR1Fnk28gyn/MsJ+3BRqTpVndB9vz6z8/PTu77zyC2kiw8/vCfR63ny/LyRE+9C6rEGL/UcMqhLg+nB53h6uF4LDIPLyh37/bSeNQFurrxTON6fnZ+v/fe+C53v1znG8g1gvwHTYmizL8x5ktPv/+89OzFw3r9tn5fXFdnsfB5959KlwIISaoYRVCXBvWC8/1wnLz/980wnfCtkBZxLvvsJye7LhZBTWsK87+48z2zPrPz27uu6tg1/fF9Xkeh+zqWIUQe44aViHENWFYXJV3nNx3Mcb7rr+juV60rh6HR8biNDOmZ2gsao2fvXitLJKHTOaj93UyHKu+wCwfmQ4W32eeG95d4Xt6/KXR4q9/HPbPkfsJ4r4BPu7HlP3xedgbGA8pz83wfE7+uqt5HarP2+Y1qTznZ9h5jq1A5XzWu59nz619ntn/oWXOu19zr0H0/AT33fhwc6/7tJ6Gd+x5uKFq12l6vBn1GeVeEd0XPc3Pc/84ex5nnK/yHJv3YuZ52WB9P24+H0IIsX+oYRVCXA+GxeB54zdeqI0p2lF31C/8zhZvo0dtQXyZMT07bFj7ZewwrrLALF7M52SDcp5ovwqnxxvNx4VHZSG+0SRfeLD4H3Y7f276hXZp0C885j5v1nGta1g0+0FTPcY51oaXi/8xJbh+G0SN7aWuQfT8hPfdQPA8jZ+mYd9+/Nl/aBke9n9kKtSe23K8S9Rn633Rs53nuX+cPY/++dL34mXnrYH1/FTXhRBiH1DDKoS4FlgL+PqifrzoG72Lt7EgtJvIy4zp2WbDOrDOZZyrp2gX1q09cz+K6B1/Dqvx/QJ5/I4P7wqtj2u9g7apnY8a3kka7Z+8Dj1+rtpzvvGHvGicz082alamxyznmkYtz83qXa6pWO6V6fYLFE/1xracJ3MNatfd18/fvR9/37lXTqwamFzH4+k76TVq12nX98Wa7T/P3vky92L+eVkxNNnhLSmEEFeIGlYhxDVgWHhN3xEcFlsXF2PnCzXrr9yWxm682MyM6dlxw3p2vgsrzJkfB+7xF9QNFG/GO7flnPHC2F9kV69DT6pROHtXrNIcVnTbx3AN+m1rL/aY+DkYjmM8jyEzrkHturt61Nhc0P3rWKdWG+fHu1R99qTui4j08+ycL3Uv5p+XFcMxL3eNhBBit6hhFULsP9VFVVmsTRd4wSK0LPxGi83MmJ5dN6z92c3G1FlAT4kal/nw14SPVx9FPBz9jqvxXJw9f9N3q6Ykr0NPplGIn4sybtKsWc/3sG213+Bzc8z6XJVcI4ZzzriWl7kGUVZPL1r0OB8bXMcqtXHB8bZ8X1xkW89z/XzR9Tkfu3lf5Z+XFcM9Wz+nEEJcPWpYhRB7z5zF8vgNhMwiLrnw23nD2jN42dTt89jEC+OIvmmufl+OR+W56H2vn6v1Y/2Ha6Ye8gvwyzcKpfmf3j9jynHH+1z8DwfrazD8+0IjMJy/1jiMmLPv5a9BdN3r+vnzFD0u5K1dxyq1ccHxtnpfbLLt57l2vuy9mH9eVqhhFUJcA9SwCiH2nLIgCx6jVV5mEZdc+F1Fw1rGn3kpi13bw5TiqbqIddlsXvj+6XF3cnLKH1LtKbk8H8M7VRsNEMc495G8Dj2XbxSyTcKa8jyW7av9ptek/Lv49k50xvT6Tsldg+i+quvlfJVrYhJcxyq1ccHxtnpfFJZ4nmvny96L+edlhRpWIcQ1QA2rEGK/iRb6ZsOYWcQlF35X0rCW45bxw/FmNUM9Z54rWT3cBXDJ5TWsG5yenC3Sz7Mmr0NPplGIn+syzmgkRvfmer/N46yPvX4ups2tz6TZnZK8BlFWT4+fpynBdaxSGxccb8v3xYpFnuf6+eLnuIzdYsM66POvqxBC7B41rEKIvaYs4uoLfeudicwiLrvw88adexsvCP1zzWoONt8ZGbzNa4bWlHO4zSUN5fFYtRvwgd7TOpdxzNNTd8F83mznF+CpRqEcr/Y8uPpwTLxY12Bj29qb81yPKPeNvX/2GkT3latHz9MFgutYpTZux/dFzzLPs5Mjeo5NPf+8rBj0y8wdQgixa9SwCiH2mLIY8xfJZWHZ1vRkF37nTSnnP9P4SYmyvX+MF6/+uc7ybPy0xemF73piiWPw+4vr/73cmrN4WPsY/1QJH9s9/77p5mL23Nvx6Gc3Tka/Vzn1Mpxr+geX9uAdVryfXb/ZPyVyTrkG69+MneQu72QfDc1NrWkwWB83uj8ucw2i52fzuOfPw/l9N36extdx/fNER6PjBtexSm3cru+Lzefjcs+z/zx6OTL3Yv55gbXXylghhNgT1LAKIfaXstiK/vN/aQzOFo+ZRVx+4Xe2QL3w6I/VLzT5/5daZJ7l2XhYC87iiUfmLZJJU209Li7yi3fjcXg4uQ6FdUNjjlk9NvfPXwe/MdloBqbHtp7vjcf4d2LHjK79BU+b56z5qjDktE+duQbR89MT3XfR/TLKH1zHKrVxV3BfJJ9n/3kMclz6Xsw/L7B+bowMQgixR6hhFULsLWWhGfdi54vO9b6ZRVzbwm/zHRAeqz/Qwo7DAnS8WA7OBf240Tu0/XkvPg3T3DnWfwRp3FCe+beYNi792PU7tMWPvQA+XY3bPA9/yGbjXekV+esQNmR9znKNLj5f66Z6dA2n7yRabDQY1nnPG1rnWluY980GiWsQPj8Q3nfDO4zGucfMuMdNauOu6L5I3uv153HO83KZezH/vJyNbZk8hBBiB6hhFUKI68pZs6R3SG4eQ0NkNhpCbIGhmVW/KoTYd9SwCiHENaW8e+e+YyauLfp+oVgSfRxYCHFdUMMqhBDXkPJXabXgvMnoI5tiKdb3lv5jlxDiOqCGVQghrg3l+2rnD/UyNxu9yyqWYH1f6T92CSGuB2pYhRDiurDxB34u/LSIuKGcrP5Q1cU/aiREluGPOum/ggghrglqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVqWIUQQgghhBBC7CVuw3p6ctwdn5wO/xJCCCGEEEIIIXaH37AeH3aHx2pYhRBCCCGEEELsnkrDetqdHB12BwcH68fhUXfhjdbTk+6YfQ6P+70vwruzR4fD+IPD7ihsfMfnPDw6mRy3VRdCCCGEEEIIcZ0wG1beWd1sRE9PjsYNZ//v0hiaDevpcXfYN6lnQ1b/7ptIp2kdnZNmuG92N/dv1YUQQgghhBBCXC+MhvV0frNH42o1rAYnR31ze3Qy/GvKSXfUN7QjedUUH/XK6h+NuhBCCCGEEEKI64bRsA7vVtLsRZ3othrW1Tuwk+Zy813aVl0IIYQQQgghxLXDbFj7bq9vMGlaD7rDo+N64zq7YTXeAd3EfDeUMUPD2ao38vTTT3ef/OQnu4ceekgPPfTQQw899NBDDz300EOPxse/+Tf/Zui2fCoN60D5w0p942c2mzMbVv/jwD173rA+88wz3ZNPPqmHHnrooYceeuihhx566KHHFh59Dzp0Wz5+wzow/SNMZ8xoWM8+Xjz826T1I7+RLoQQQgghhBDi2jGrYbXfwewJGtZ1szqnaeTdUP3RJSGEEEIIIYQQ5xgNa9/8HfIR4NJl8n3Wykd6nYbVb1aHY26MLe/irk7r/GxNVhdCCCGEEEIIcb0wGlb6veO+ae0byoP1gz+8tNn6rZrNQTt/bLybuXp309qnNLBDwzpqaM//0BOPwwsNcqsuhBBCCCGEEOI6YTasBd61XO5dSn7vVR/ZFUIIIYQQQghh4zesJ8fdcfU3bVo47U5ohvUuqBBCCCGEEEKICm7Duhwn3bG+XyqEEEIIIYQQwuGKGlYhhBBCCCGEEMJHDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL1EDasQQgghhBBCiL3EbVhPT46745PT4V9CCCGEEEIIIcTu8BvW48Pu8FgNqxBCCCGEEEKI3VNpWE+7k6PD7uDgYP04POouvNF6etIds8/hcb+3xfgYh0cnlf0K0f6tuhBCCCGEEEKI64TZsPLO6mYjenpy1B1tvtPa/7s0hrWGdXQMmtvDvol03q2N9m/VhRBCCCGEEEJcL4yG9XR+s0fjajasJ91R38wenQz/hFWTe9QrFtH+rboQQgghhBBCiOuG0bAO71bS7EU9a61hPT3uDqfN4mrbYWf2wdH+rXojTz/9dPfQQw/poYceeuihhx566KGHHnrosYXHU089NXRbPmbD2nd7fS9K03rQHR4d1xvXWsNqvrvJu6CVBjLav1XfAk8++aQeeuihhx566KGHHnrooYceW3g888wzQ6flU2lYB8ofVuobv9HHbQu3UMMqhBBCCCGEEGK3+A3rwOgPGm1Sa1gv+xHdaP9WXQghhBBCCCHEtWNWw2q/g9lTa1j7PfVHl4QQQgghhBDi1uINDz3Z/S8f+Hz3oS/82bBlzFs+/ZSrTzEa1r75O+QjwKUN5fusB92B9ZngasPKG5zrd2VXh7nwMzPDMTfG+vu360IIIYQQQggh2njfZ77c/dannuqe+or9HdTD93+me9G9T6z2sfjB+x5Z6b/6oceGLT5Gw0q/d9w3rcPvrPYP/vDSZuu3ajYH7fwxfTfz/A838TgcNbxDwzr6yK63P7TqQgghhBBCCCFaoCF9sdOQrhrW+z5T1b/5zp/rvvFHXtf94K+8edjiYzasBd61XO5dSn7vVR/ZFUIIIYQQQoh94QeGd0h5J9Uiakgj/b/4tu/t/q1v+FvdD73m14YtPn7DenLcHZ99NHibnHYnNMN6F1QIIYQQQgghdsYvfOyL3Y994PPdw1/6yrBlDM3q97zvM917Hvs3w5YxUUP6oj847V5492Pdz9778WHLmK02rMtx0h3r+6VCCCGEEEIIsXUeeuorq4by8S9/ddhyDg3p7e+tN6StDetfOvie7uue97Luzp//9WHLmGvSsAohhBBCCCGEWAL+Ci/fM+Xd1ClRQ9rasP6f/h/f0f3bTkOqhlUIIYQQQgghbjA//eEvrBrL3zy1m0YaVprKJRrW57/5j1b7/MTb7hm2jFHDKoQQQgghhBA3mOi3Sr2GFJZsWKOGVA2rEEIIIYQQQlxjaET5SG3tt0zLR3prH7tdumF98T2Pdf/q4SeHLWPUsAohhBBCCCHEDYbvgc5pSK+iYf36739191/+6C93r3nzu4YtY9SwCiGEEEIIIcQ1h4aQ5tBqGqM/XHSVDSvN5L//V7+te92b3j5sGaOGVQghhBBCCCH2nPd/9surxvCdj3xp2DKGZpOmkX2mXGnDes/j3QtPHu1++6OPDlvGqGEVQgghhBBCiD2H3zClYbR+yxRoBnm30mpIYV8b1q/5lhd1z/rOO6sNqRpWIYQQQgghhNhzSkNaawpXeqUhhX1tWKOGVA2rEEIIIYQQQlwxpSGt/ZZpaUhrTWHR97Fh/R/uum+V7Y677h62nKOGVQghhBBCCCGumPJbpnzX1CJq+q5zw0pTSNP4d37glcOWc9SwCiGEEEIIIcQOePqrz6x+0/ThL31l2HLOqqlzPtIbNX2lIY10qyGFJRvWH7n/iVW2Vz/42WHLGDWsQgghhBBCCHHFvOXhL3W3vfcz3Q/0DeCUqCG9zg3r3zj6591z33R/9/df/cZhyxg1rEIIIYQQQgjRiPdbpVD0//WDflNIAzjlJjesXkMKaliFEEIIIYQQIqDlt0rBa0jB00vTdx0b1pe+55PdC+9+rHvtA58atoxRwyqEEEIIIYQQM+F7pA89dfF7pKum7t7cb5XCrdqwftMLXtF93be/rLvzFy//kV9QwyqEEEIIIYQQPXc/8eXu9vf2DVjfmE5paergVm1Yo6ZODasQQgghhBBC9Hzsi3/WvaRvrn74j+y/SMv3TL/nfWpYp3jZvuutH1g9X696158MW8aoYT1HDasQQgghhBC3MI9/+avdKz/4+e6uU/vdPq8hBTWsl8/W2tSpYRVCCCGEEELcCLzfKgUaztvue6LaFKphzTWsb/z457oX988Jv5k6RQ2rGlYhhBBCCCFEj/dbpUDDyXdQ1bCOKd4jveb9Za9/a/ecu+5f/WbqFDWsaliFEEIIIYS4JaBhpFn8yQe/MGwZEzV9aliXaVhpyGjMaNCmqGFVwyqEEEIIIcS14amvPLNqOF/z0S+uPsI7xdNbmjpQw5prWF9x8tDqt1L5zVQLGjI1rBdRwyqEEEIIIcQe4n2PFO17+qaRxpE/gjTF09WwXk3DevDDP9N93fNetvrNVAsaMjWsF1HDKoQQQgghxJ5RfquUn4exoCH9vvd/dtWU1hrWmq6G9WoaVppBGjOrIQUaMjWsF4myTWlqWE9Pjrvjk9PhX0IIIYQQQtyatPxWKahh3b+G9fY3v2+Vif+1UMN6HRrW48Pu8FgNqxBCCCGEuNnQJNIc0ZxZtDR1oIZ1/xpWmj0aq1pTqIZ1rxvW0+7k6LA7ODhYPw6PuvEbrafd8YZ+eHTcb4kYH/Pw6GQyplUXQgghhBC3Og899ZXVowYa75ZOoSn77oV+qxTUsO6+YX3FA2vPr37QfldcDes1blh5Z/Xg8LwJPT056o423mk9OeqbxrMmlUaSf5+s/lVjdMzTk+74sG86N47ZqgshhBBCiFubzz391dXHdnnw/6cU/ba+MZ02rUs2daCGdfcN67Nfddw99033d3//F940bBmjhvXaNqynQTO41kf96elxd7jR4F7kpDs6mIzpm+CDg6NeWf2jURdCCCGEEDcdGrk7+sbr+/vmhZ+BmYJOw1drCotOY0iDuMmSTR2oYd1+w/qCt/7JytPh2x4YtoyJmj6201h5OuM5jgUNGeMtXQ3rog3r8G4mzWC1Z+0byKPjM336juwFaGinzeVq22G36otb9Ub656d77LHH9NBDDz300EMPPfS4wscnH3ms+42PPN696aO2fvfp49339o3THfc90X344Ys629AinWNwrE3tbR9/rLuNZva9T4y2b+o0yzRIGT3y7uk8JzRtNW+RvmS2V33gidW5f/QB31ukZ7L9Z8+5fdU4/Y07/skFbY7OdhorT2c8x7H0w5983Wq8pX/tf/P81Vj2mWo8GMNYT89m47j/3l/91u6nX3/XBW2OHnmfm+0fvfpXh27LJ9Ww9t1gV74vyvdTLzSuq2Zx+C7p4Xq/0bufU8x3Q3nXdGg4W/VGnnnmme7xx8eTlh566KGHHnrooYceyzw+8Ol1gzbdzjY+rvuSRFPHozSkka6G9aK+rw3r//6hR1fn/Z57L2otTR0PttNYeTrjOY6lq2H1s738Z18/dFs+yYZ1gO+KrhrXw42GdP3xXL6zekpje3wUfBy4Z88bViGEEEIIsTv4HikfUeW3Szdp+dgslI/8Rro+EjymJdvSHwn+4d94++p7qP/vV/2LYcs5LR+bBbbTWHk64zmOBR95Zbyl6yPBC38keMroI79W88g7rtf4I8FCCCGEEGIefHeU75DyjpvVeAG/VUpTav01Xli9Y9Y3QDRCm6hhVcM6haaH5ogmaUpLUwdsp7HydMZzHAu8Md7S1bDuuGEdNan8/wvN6fpd16NRR7mJoY8a31ZdCCGEEEJsi7f/6Ze6tzz8pe7pr9b/sJHV9BVqDWmhprc0dVC8RbrlfcmmDlqy3eSG9bUPfKp7cX/c2+95dNgyhqaH5kgN6xhPjxrSSL8GDWvfHB7yEeDSkk5/tqb8FeHyO6h8LHj9seHzdzuHMRuNbXmXdnVY52drsroQQgghhJiH91ulNEt8h5Tvkk6bOvCavkKtIS3U9JamDoq3SLe8L9nUQUu2m9ywvvyX7uq+8Ude1/0n/9OPDlvG0PTQHKlhHePpUUMa6degYaUfPO6b1vUfVSp/eGnUGp59t3XY5/Bo8tHcoWG90MSejzk8mr432qoLIYQQQoiI6LdKvaYOIh1qDWmhprc0dVC8RbrlfcmmDlqy3eSGlaaG5sdqSMHTW5o6YDuNlacznuNY4I3xlq6GdeGGtcC7mvl3MXknVh/ZFUIIIYS4Cn7ywS+sGoz3fWb8h41amjqIdOC8VkNaqOktTR0Ub5FueV+yqYOWbNe5Yf2pd39wNY7fTLWgqaH5UcM6piVb1JBG+vVqWE+Ou+MLv2kzh9PVx4T1LqgQQgghRA6aBBoR/siRBY2op9Oc0EiwzyYtTR1EOtCgWA1poaa3NHVQvEW65R0valgvn+3H739k9R3UH7zvkWHLGJqWWlMH6DQ/aljHtGTjuLdMw5rnpDvW90uFEEIIIao8/KWvVP+KLtAc8D1SmgULmo/vDnQ1rGM873hRw3r5bM/9sdeuvoP6V3/gaNgyhqal1tQBOs2PGtYxLdk4rhpWIYQQQgjRRPkt0ulHdgu1pq5A88F4T1fDOsbzjhc1rJfP1tLUATrj1bCOacnGcdWwCiGEEEKIkLd8+qnVd/v+8PGLjVutaStEOs2HGtYxxVukW97xoobV9v5bH/pU94KTR7sX3fPYsOWclqYO0BmvhnVMSzaOq4ZVCCGEEEKsmgyahdpPxNCs0gTwh2mm1Jq2QqTTfKhhHVO8RbrlHS9qWG3vNDZ/8Xn/c/c13/KiYcs5LU0doDNeDeuYlmwcVw2rEEIIIYRYNaT8wRmrIYVVw9o3EmpYx9T0lqYOirdIt7zj5VZuWF9y7+NV7zQ2NDg0IVNamjpAZ7wa1jEt2TiuGlYhhBBCCOE2pKCGVQ1roSXb0g3rr/yr+7rn3vX+7q//098btoxRw6qGdRM1rEIIIYQQe8IbHnpy1XTW/jCSGlY1rIVIb8nW2rC+/n2f6F5496PdC9/9yWHLGK8hBTWsalg3UcMqhBBCCLEnrJq+vgGZNn0FNaxqWAuR3pKttWGlMfmL3/Hy7i8dfM+wZYwaVjWsm6hhFUIIIYTYEz739FcvNC6b1Jq+ghpWNayFSG/JNqth7c/70vfa56Yx+fN/5bnVplANqxrWTSLvrdmmqGEVQgghhKjwQw98trutbxDe/qdfGraMUcOqhrWA7jWkkd6SLWpY//Fd7+6e+6b7u7/pfAdVDetF2I43T89ma23qWrJxXDWsQgghhBA3gKghjXQ1rGpYC5Heku0n/uDB7oV3P9a9+F0PDVvG0BjQQNSaPjWsalg3ifTIe2u2KWpYhRBCCHHLwh9LomF76ivPDFvGqGG9XFMHkQ7ZbC1NHRRvkW55x8u+Nqx3/vyvd1/3vJd1/5dnf/ewZQyNAQ1ErelTw6qGdZNIj7y3ZpuihlUIIYQQN5qnv/rMarFvNaU0H9993xPVxilqSCNdDasa1kKkz8l2+32Pd7f19+tUZ+FPg5Bp6kANqxrWTSI98t6abYoaViGEEELcaH71Xz+5+h7qTz74hWHLOdmmrhDpaljVsBYiPfL++x/8RHdw/L7ub//6SffxR8YeWPjTIGSaOlDDqoZ1k0iPvLdmm6KGVQghhBA3GppBGjOawynZpq4Q6WpY1bAWIv3u0890Lzx5tHvRPY93jzx58Xl5xz0PdF/zzc/v/r2+kfj4px4Ztq5h4U+DkGnqQA2rGtZNIj3y3pptihpWIYQQQtxo1LBeLltLUweRDtlsN7lhpSH9j//eD3b/0XO+70JDCmpY1bBu0pKN46phFUIIIYTYEeU7qvyvhRrWy2Vraeog0iGbLWpII714i/SlGtaX3Pt4VfcaUlDDqoZ1k5ZsHFcNqxBCCCHEjuA7qvzhJP7XQg3r5bK1NHUQ6ZDNdp0b1tf9/vu75971/u5vvv4Phi1j1LCqYd2EMYz19Gw2jquGVQghhBBiS7zl00+tGrs/fNxubkpDWmsK1bBeLltLUweRDjexYf3ND326e8HwHVSLqOlTw6qGdRPGMNbTs9k4rhpWIYQQQogN+EkZGiOrgWEbmtVAwKqp6xuYqCGNdDWsY2reW5o6iHS4iQ0ri/tnfeed3dd8y4uGLWOipk8NqxrWTRjDWE/PZuO4aliFEEIIITagKXpx34RYi32aNrRMUwelIY10Naxjat5bmjqIdLipDWu2qQM1rGpYN2EMYz09m43jeg1ppEfeW7NNUcMqhBBCiGbe/qdfWjUZP/3hi791CjRFNEfWYr+lqYPSkEa6GtYxNe8tTR1EOlzHhvW177p/5ev5b/6jYcuYlqYO1LCqYd2EMYz19Gw2jus1pJEeeW/NNkUNqxBCCHFDePhLX+l+rG+ArOaH73/SHNW+B1p0vi9qEemlIWUfCzWsl8+mhvWivnTDyu+f8h1Ufg+V30XdZMmmDtSwqmHdhDGM9fRsNo7rNaSRHnlvzTZFDasQQgixJ3jf8wR+tuUtD3+pqrO4p0FhsT+Fhsj72O2qqet1q6mDSC8NaaTTJE1paepg5W2GbnnLNnWFSG/Jlm3qCtlsUVNX9JvYsNII8juo/B4qDeImSzZ1oIZVDesmjGGsp2ezcVyvIY30yHtrtilqWIUQQog9gcah9j1PYPHOz7d4Oot8FvtTWpo6iPTSkEa65b2lqYPiLdItb9mmrhDpLdnUsF7Ud9Gw0hDSGKphPaclW0tTBy3ZWpo6YDvePD2bDb+MZR8LxjDW07PZOK7XkEZ65L0125SmhvX05Lg7Pjkd/iWEEEJcf1jwrhbL/YLW4qGnvuLqfCz3JX0TcEev847pJi3f8wQW7zQgnq6G9SKe92xTV4j0lmy1pq0Q6dlsUVNX9OvYsH78kc90//A9n149+P9T1LBuP1tLUwct2VqaOmA73jw9mw2/jGUfC8Yw1tOz2Tiu15BGeuS9NduUtob1+LA7PFbDKoQQYn8o3+N8w0NPDlvGFP1XPmHrLJBrTR+UBXGkWwvmlqYO8KaG9SLFW6Rb3rJNXSHSW7Jlm7pCNltpOGtNX9FrDWmkQzZb1JDe/+jnV98/5XuofB91SmlIa02hGtbtZ2tp6qAlW0tTB2zHm6dns+GXsexjwRjGeno2G8f1GtJIj7y3ZpuSbFhPu5Ojw+7g4GD9ODzqLrzRenrcHR0O+sFhdxQ2tuNjHh6d9Fs2adWFEEJcJ3g3sraYBTT2mcL224KPzbKIt5o6QK81faCGVQ3rJpHekq3WtBUiPZutNJy1pjBqSCMdstmihpWmju+f8j1UryFVwzpmyWwtTR20ZGtp6oDtePP0bDb8MpZ9LBjDWE/PZuO4XkMa6ZH31mxTUg0r76weHB6fNYSnJ0fjhrT/96pJLV3s6Ul3fOw3kKNjsn/f7G6+e9uqCyGEuD6wKKXpfEn/qC2Y0dhnuiBmgZtt6iDSy4I50q0FdUtTBy3ZWpo6iPSWbF7TBpFevEW65Q0/alhvVsPqNX2lIY10NaxjWrK1NHXQkq2lqQO2483Ts9nwy1j2sWAMYz09m43jeg1ppEfeW7NNSTSsp0EzGOkWJ93RwUHf4A7/hFXTe9Qrq3806kIIIZbgB1jw9gvL6aK05XueEC1KvQUxC1w1rGpYN/G840cN6/VpWN/xgU90L7j70e673vmJ7tOfu/icqWG9fFMHS2ZraeqgJVtLUwdsx5unZ7Phl7HsY8EYxnp6NhvH9RrSSI+8t2abkmhYh3czaQbNnpTm8bC7VL96etwdTpvL1bbhOK26EELcgvATKEcPfqH7yf5hNYXor/noF6s6sIj+8Q9+vvvc0xcXrVBbVLY0dRDp3oIYL2pY1bBu4nnHjxrWPWxYh99C/e2PPjpsWdPS1EFpSCNdDeuYlmwtTR20ZGtp6oDtePP0bDb8MpZ9LBjDWE/PZuO4XkMa6ZH31mxTUg1r3w2efV/08Oh43LiW5rH/37PvsB4e+Y2j+W7oRuPbqjfyzDPPdI8//nj32GOP6aGHHnrs/HH36ePdb3zk8e6Tj1zU3vTRx7q3ffzidh4ffvixfrHaLwrve2J1jMvqPFaLykDnXdKpB/b/3qFx2tw+1e/oj42Py+psQ2OfqTe83MZiuc+2uX1Tx3PNW6S3ZOM60iD86AP22KJ73rPZXvWBJ1bH5n+n2qZe8xbpLdkY43mL9OIt0i1v+OE55bmbakVnLP4zeks2rqNVX3P1bLZSX5n6m6PzwPuL736s++2PPGLqX/MtL+qe9R0v73769XeNtv/m29/d/YW/9u190/at3X1/9MGRNkdnG1qkcwyOtanh5c//led0X/vfPH+0fVNnLAvxjN6S7fAnX7dqEGreIn3JbH/jjn+yOvd/9pzbL2g88MY4T89m45hoeJhqc3S2483Ts9nwy1j2mWo8GMNYT89m47hcL67bVJujR97nZrvz5/73odvySTasA3xXdNW48n3Vso2GddzInr0ju/7nRfa8YX366afNJ1sPPfTQYxcPFpX8Nud0UclCsHzPc8lFZaRbC2b2Zxz65vapXlsQR7rnHS9qWC/qLU3dHL0lm9e0zdGLt0i3vOFHDevYe6mvTP3N0Xl8/fe/uvumH/3l7id+462mXlswq2FVw3oZvaWp48F2vHl6Nht+Gcs+U40HYxjr6dlsHJfrxXWbanP0yPvcbP/o1b86dFs+bQ3rwPgPHhkfz101j5PvmG5ijVltGxrOVl0IIRpZfaSwXxz+5unFj/3xPU6+j8n3Mi1q3/MsRHrtY3veR09hWx/by3ysr3hDt4i8R7rnHS/6SLA+EryJ5x0/+kjw7j8SzGI185FEfSRYHwme4uktH5sFtuPN07PZ8MtY9rFgDGM9PZuN41r1VYj0yHtrtilbaVjH73BazWnQsFp6dMxL6UKIW527+kaThSF/DMjiLZ9e67XFVbSo9BZm21h0WotKrzGCbSwqs9mKN3SLyHuke97xooZVDesmnnf8qGHdbsPK75+W76C+59S+V7MLZjWsalineHpLUwdsx5unZ7Phl7HsY8EYxnp6NhvHteqrEOmR99ZsUxINa98cHm78ZM3q+6wH3cHReWu4fse1bxaHXUbvwK4YxmxsK/usxjg/W5PVhRA3G97dZOHEHxKyWC3M+sWdt6jkY7eZRSfHrS3cYBuLTmtR6TVGEC0qIx2y2Yo3dIvIe6R73vGihlUN6yaed/yoYR17L/Xl1R9fR7j93scv1B/QTPE7qP+37/rhC01fIbtgbmnqgG1oka6GdUxLtpamDlqytTR1wHa8eXo2G34Zyz4WjGGsp2ezcVyrvgqRHnlvzTYl0bDSD278QaX+wfdVp63h6fFRx3dZyx9dOutvVwwN6+gju+d/yGl9zOl7o626EOImw8dq+a7WWx7+0rBlzNxFZWbRyaLRapwK21h0Wt68xgjKorPmLdIhm614Q7eIvEe65x0valjVsG7iecePGtax91Jftfp76NHPdP/dP/297tm/9ofdO+9/cNh6jtf0FbIL5pamDoq3SLe840UNqxrWTVqy4Zex7GPBGMZ6ejYbx7XqqxDpkffWbFNSDWuBdzXz72Lye636yK4Q4hy+H8oCrPY9UbRpc1LY1qIys+jEl9U4Fbax6LS8eY0ReE0dRDpksxVv6BaR90j3vONFDasa1k087/hRwzr2zu+b/sP3PLx6WL916jV1EOmQXTC3NHVQvEW65R0valjVsG7Skg2/jGUfC8Yw1tOz2TiuVV+FSI+8t2ab0tawnhx3x+O3Tmdy2p3Q7B6pXRXiJvHOR760Wny9/7NfHraMiXRv0TlnYeYtGucuKjOLTrxZjVNhG4tOy1tLUweRDtlsxRu6ReQ90j3veFHDqoZ1E887fm7VhvXFf/jp7oV3P9a99oFPDVvWtDR1EOmQXTC3NHVQvEW65R0valjVsG7Skg2/jGUfC8Yw1tOz2TiuVV+FSI+8t2ab0tSw5jnpjvX9UiEW4amvPLNaMH/u6YuLfCh6rQlAq30PtOgcw2K18OoXUO7CzNHLojKzcNvWojKz6MSb1TgVIu/ZbJwv29RBpEM2W/GGbhF5j3TPO17UsKph3cTzjp9btWF91rcddl/3vJd1d/7iG4cta1qaOoh0yC6YW5o6KN4i3fKOFzWsalg3acmGX8ayjwVjGOvp2Wwc16qvQqRH3luzTbmihlUIsRS//PEvrr7L+eMfrC8av/u+J7r/1dD/0QOfdb8HyhjGLrEwg7KozCzctrWozGTDm9U4Fbax6LS8tTR1EOmQzVa8oVtE3iPd844XNaxqWDfxvOPnVm1Ya4vKlqYOIh2yC+aWpg6Kt0i3vONFDasa1k1asuGXsexjwRjGeno2G8e16qsQ6ZH31mxT1LAKcc3wvucJ3sIMvEXl3IXXEgszKN4zC7dtLSoz2fBmNU6FbSw6LW8tTR1EOmSzFW/oFpH3SPe840UNqxrWTTzv+LmpDet3/M6frPZ5w70X/zAS1BaVLU0dRDpkF8wtTR0Ub5FueceLGlY1rJu0ZMMvY9nHgjGM9fRsNo5r1Vch0iPvrdmmqGEVYs9o+Z4neAsz8BaVcxdeSyzMwMsWLcy2tajMZMOb1TgVWhedNe8tTR1EOmSzFW/oFpH3SPe840UNqxrWTTzv+LnODSu/dfovPvzosGUMi0aakMsuOluaOoh0yC6YW5o6KN4i3fKOFzWsalg3acmGX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDKsQC8B1QFq38NqiFp68WL/0iJFp4Rbq1MANvUTl34bXEwgy8bNHCbVuLykw2vFmNU2HOojOTzWuMwGvqINIhm614Q7eIvEe65x0valjVsG7iecfPPjesL7n38aq3r3327d2zvvPO7rVvesewZQyLRjWsY4q3SLe840UNqxrWTVqy4Zex7GPBGMZ6ejYbx7XqqxDpkffWbFPUsAqxAHwHlO+C8lMsFiw+XnLfE6a+5MIMvEXl3IXXEgsz8LKxcMs0dYUls+HNapwKkfdstpamDiIdstmKN3SLyHuke97xooZVDesmnnf87GvD+v/8hbd1f/ef39u97nf/cNgyZs6iUg3rmOIt0i3veFHDqoZ1k5Zs+GUs+1gwhrGens3Gca36KkR65L012xQ1rEIYsHBhwVdbYBT9Jx/8wrBlTMuic8mFGXiLyrkLryUWZuBl4/nONHWFJbPhzWqcCpH3bLaWpg4iHbLZijd0i8h7pHvevfoC9FpTB5Heko1ryLXkfrIouuddDetFirdIt7zhZ18b1m0sKtWwjineIt3yjhc1rGpYN2nJhl/Gso8FYxjr6dlsHNeqr0KkR95bs01RwypuLCwUX/nBz3e/8oknhy3n8P1QFgl8X9SiZeEFke4tOqPFTVl4RXrk3dLnLrwiveatJRsL8ExTV1gyG96sxqkQec9ma2nqINIhm614Q7eIvEe6592rL0CvNXUQ6S3ZuIZcS+4ni6J73tWwXqR4i3TLG36usmF96Xs+ufot1FecPDRsOWcbi0o1rGOKt0i3vONFDasa1k1asuGXsexjwRjGeno2G8e16qsQ6ZH31mxT1LCKxXnoqa+sHlPK9zitxWhhjl77nmhZ2FUXbv32aGEV6bVFY6R7i84lF2bgZZu78Ir0mreWbFyvTFNXWDIb3qzGqRB5z2bzGiPwmjqIdMhmK97QLSLvke559+oL0GtNHUR6SzauIdeS+8mi6J53NawXKd4i3fKGnyUb1lc8sL4er37ws8OWMd/0glesfgv14Id/ZthyzjYWlWpYxxRvkW55x4saVjWsm7Rkwy9j2ceCMYz19Gw2jmvVVyHSI++t2aaoYRWL8rmnv9q9pH8h58H/36R8z5Pf/rS4+4kvr77n6eksMji2xZyF2xILL4h0b9G55MIMvGzRwqt4i/Sat5ZsXEerMSpE3pfMhjercSpE3rPZWpo6iHTIZive0C0i75HueffqC9BrcwNEeks2riHXkvvJouiedzWsFyneIt3yhp8lG9Znv+q4e+6b7u/+/i+8adgyZulFpRrWMcVbpFve8aKGVQ3rJi3Z8MtY9rFgDGM9PZuN41r1VYj0yHtrtilqWEUTLMbu6F/ov79/wX7qK88MW88pi0pv4eYtvJZadHqLF2hZeEFLtiUXZuBlww8a+1gUb5Fe89aSjevI9VxqUdmSDW9W41SIvGeztTR1EOmQzVa8oVtE3iPd8+7VF6DX5gaI9JZsXEOuJfeTRdE972pYL1K8RbrlDT9LNqxXvahUwzqmeIt0yzte1LCqYd2kJRt+Gcs+FoxhrKdns3Fcq74KkR55b802RQ2rcKEJ5UX47X9qf9dz7qLSW7h5Cy81rBdpWZiBlw0/aOxjUbxFes1bSzauI9dzqUVlSza8WY1TIfKezTa3/mreIh2y2Yo3dIvIe6R73r36AvTa3ACR3pKNa8i15H6yKLrnXQ3rRYq3SLe84aelYb39nke7F/fP92sf+NSwZcxVLyrVsI4p3iLd8o4XNaxqWDdpyYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcMqVour2vdA0W6774nVR3NbFpXewm2JhRnMWbgtsfCClmxLLszAy4YfNPaxKN4iveatJRvXkeuZXVQumQ1vVuNUiLxns82tv5q3SIdstuIN3SLyHumed6++AL02N0Ckt2TjGnItuZ8siu55V8N6keIt0i1v+GlpWP+T/+lHu2/8kdd1L/+lu4YtY656UamGdUzxFumWd7yoYVXDuklLNvwyln0sGMNYT89m47hWfRUiPfLemm2KGtZbnOh7oNtaVHoLtyUWZjBn4bbEwgtasi25MAMvG37Q2MeieIv0mreWbFxHrmd2UblkNrxZjVMh8p7NNrf+at4iHbLZijd0i8h7pHvevfoC9NrcAJHeko1ryLXkfrIouuc9m82rLyh6zVukt2Tz6gsivXiLdMsbfnhOee4s0Bk7rb/CnIXZVS4q1bCOKd4i3fKOFzWsalg3acmGX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegPgY7t8h5Smc/pO6ce++Ger7T/8R/YfLpq7MGtdVHoLtyUWZjBn4bbEwgtasi25MAMvG37Q2MeieIv0mreWbFxHrifPnUXkfclseLMap0LkPZttbv3VvEU6ZLMVb+gWkfdI97x79QXotbkBIr0lG9eQa8n9ZFF0z7sa1osUb5FuecOP17B+1+9+ePV8vupdfzJsGTNnYXaVi0o1rGOKt0i3vONFDasa1k1asuGXsexjwRjGeno2G8e16qsQ6ZH31mxT1LDuAH6+hb+IW/seaNF58P8tGFvTo4XbNhZmrYtKb+G2xMIMPN1bvEDrorIl25ILM/Cy4QeNfSyKt0iveWvJxnXkevLcWUTel8yGN6v+CpH3bLa59VfzFumQzVa8oVtE3iPd8+7VF6DX5gaI9JZsXEOuJfeTRdE972pYL1K8Rbrl7ba7H+ledM/j3b/48KPDljHbWJjVFo2w9KJSDeuY4i3SLe94UcOqhnWTlmz4ZSz7WDCGsZ6ezcZxrfoqRHrkvTXbFDWsW4SFyXThBGzzvgfKNrRI5xjW8dG9hds2Fmati0pv4bbEwgzmLNyWWHhBS7YlF2bgZcMPGvtYFG+RXvPWko3ryPXkubOIvC+ZDW9W/RUi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGXEvuJ4uie97VsF6keIt0y9vX3/bK7pte8UvdL/7WO4ctY7axMKstGmHpRaUa1jHFW6Rb3vGihlUN6yYt2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7Ypali3CL8XSmPJ90I3mbvwyizMwNO3tTCreWvJtuTCDOYs3JZYeEFLtiUXZuBlww8a+1gUb5Fe89aSjevI9eS5s4i8L5kNb7X6hMh7Ntvc+qt5i3TIZive0C0i75HueffqC9BrcwNEeks2riHXkvvJouiedzWsFyneIt3yxsIq09QV5izMaotGWHpRqYZ1TPEW6ZZ3vKhhVcO6SUs2/DKWfSwYw1hPz2bjuFZ9FSI98t6abYoa1kvA90D5PijfC7XgRZiFBAuGTeYuvDILM/D0bS3Mat5asi25MANP9xYv0LqobMm25MIMvGz4QWMfi+It0mveWrJxHbmePHcWkfcls+GtVp8Qec9mm1t/NW+RDtlsxRu6ReQ90j3vXn0Bem1ugEhvycY15FpyP1kU3fOuhvUixVtNP3zbA6vn5AVvvfg9VBZWaljH3luaOoh0yGZraeqgeIt0yzte1LCqYd2kJRt+Gcs+FoxhrKdns3Fcq74KkR55b802RQ3rJeDFLlpUqmEdU7xZ+pILM/D0JRde0JKtdWHWkg0/aOxjUbxFes1bS7Y59ed5WzIb3mr1CZH3bLa59VfzFumQzVa8oVtE3iPd8+7VF6DX5gaI9JZsXEOuJfeTRdE972pYL1K81XRvUcnCSg3r2HtLUweRDtlsLU0dFG+RbnnHixpWNaybtGTDL2PZx4IxjPX0bDaOa9VXIdIj763ZpqhhvQQsAKJFpRrWMcWbpS+5MANPX3LhBS3ZWhdmLdnwg8Y+FsVbpNe8tWSbU3+etyWz4a1WnxB5z2abW381b5EO2WzFG7pF5D3SPe9efQF6bW6ASG/JxjXkWnI/WRTd866G9SKvfvCz3Yv7zPyvhbeoZGGlhnXsvaWpg0iHbLaWpg6Kt0i3vONFDasa1k1asuGXsexjwRjGeno2G8e16qsQ6ZH31mxT1LBeAhYA0aJSDeuY4s3Sl1yYgacvufCClmzRwqx4j/RMNvygsY9F8RbpNW8t2ebUn+dtyWx4q9UnRN6z2ebWX81bpEM2W/GGbhF5j3TPu1dfgF6bGyDSW7JxDbmW3E8WRfe8q2G9yHf90u90z7nr/tX/WniLShZWaljH3luaOoh0yGZraeqgeIt0yzte1LCqYd2kJRt+Gcs+FoxhrKdns3Fcq74KkR55b802RQ3rJWABEC0q1bCOKd4sfcmFGXj6kgsvaMkWLcyK90jPZMMPGvtYFG+RXvPWkm1O/XnelsyGt1p9QuQ9m21u/dW8RTpksxVv6BaR90j3vHv1Bei1uQEivSUb15Bryf1kUXTPuxrWi7QsKllYqWEde29p6iDSIZutpamD4i3SLe94UcOqhnWTlmz4ZSz7WDCGsZ6ezcZxrfoqRHrkvTXbFDWsl4AFQLSoVMM6pniz9CUXZuDpSy68oCVbtDAr3iM9kw0/aOxjUbxFes1bS7Y59ed5WzIb3mr1CZH3bLa59VfzFumQzVa8oVtE3iPd8+7VF6DX5gaI9JZsXEOuJfeTRdE977diw/qD9z2y+sjvj99/cREPLYtKFlZqWMfeW5o6iHTIZmtp6qB4i3TLO17UsKph3aQlG34Zyz4WjGGsp2ezcVyrvgqRHnlvzTZFDeslYAEQLSrVsI4p3ix9yYUZePqSCy9oyRYt3Ir3SM9kww8a+1gUb5Fe89aSbU79ed6WzIa3Wn1C5D2bbW791bxFOmSzFW/oFpH3SPe8e/UF6LW5ASK9JRvXkGvJ/WRRdM/7TWxYX/HA2vNrPvKFYcuYv/oDR903/sjruuf+2GuHLWNaFpUsrNSwjr23NHUQ6ZDN1tLUQfEW6ZZ3vKhhVcO6SUs2/DKWfSwYw1hPz2bjuFZ9FSI98t6abYoa1kvAi2m0qFTDOqZ4s/QlF2bg6UsuvKAlG+dkbLSojPRMNvygsY9F8RbpNW8t2ebUn+dtyWx4q9UnRN6z2ebWX81bpEM2W/GGbhF5j3TPu1dfgF6bGyDSW7JxDbmW3E8WRfe838SG9e/8wm93z33T/d3/+LrfHraMiRZmbGfx4+mM5zhTWFipYR17b2nqINIhm62lqYPiLdIt73hRw6qGdZOWbPhlLPtYMIaxnp7NxnGt+ipEeuS9NduUpob19OS4Oz45Hf5182EBEC0q1bCOKd4sfcmFGXj6kgsvaMnGORkbLSojPZMNP2jsY1G8RXrNW0u2OfXneVsyG95q9QmR92y2ufVX8xbpkM1WvKFbRN4j3fPu1Reg1+YGiPSWbFxDriX3k0XRPe/XtWH9qXd/cOXrH7z9I8OWc1oWXsB2Fj+ezniOM4WFlRrWsfeWpg4iHbLZWpo6KN4i3fKOFzWsalg3acmGX8ayjwVjGOvp2Wwc16qvQqRH3luzTWlrWI8Pu8NjNawFFhBqWMcUb5a+5MIMPL114RV5b8nGORkbLSojPZMNP2jsY1G8RXrNW0u2OfXneVsyG95q9QmR92y2ufVX8xbpkM1WvKFbRN4j3fPu1Reg1+YGiPSWbFxDriX3k0XRPe/72rD+6oceW52X75tasDBhAbNvi0r8qGEde29p6iDSIZutpamD4i3SLe94UcOqhnWTlmz4ZSz7WDCGsZ6ezcZxrfoqRHrkvTXblGTDetqdHB12BwcH68fhUVd7o/XkiH0Ou7ivHR/z8Oik37JJq94OL8TRolIN65jizdKXXJiBp0cLr9ZFZUs2zsnYaFEZ6Zls+EFjH4viLdJr3lqyzak/z9uS2fBWq0+IvGezza2/mrdIh2y24g3dIvIe6Z53r74AvTY3QKS3ZOMaci25nyyK7nlfqmHlN0wZ94//2P4tU75fis73TS1e/kt3rb5nyvdNLViYsIDZt0UlftSwjr23NHUQ6ZDN1tLUQfEW6ZZ3vKhhVcO6SUs2/DKWfSwYw1hPz2bjuFZ9FSI98t6abUqqYeWd1YPD47OG8PTkqDsyOtLVO7BHR93hjIZ1dMzTk+74sG86Nwa16tuAF+poUamGdUzxZulLLszA08vCLVo0ZheVLdm8xgiiRWdLNvygsY9F8RbpNW8t2ebUn+dtyWx4q9UnRN6z2ebWX81bpEM2W/GGbhF5j3TPu1dfgF6bGyDSW7JxDbmW3E8WRfe8L9Ww8humfI/07/7sm4YtY/h+KTrfN7Vg4VFbmAE6C5h9W1TiRw3r2HtLUweRDtlsLU0dFG+RbnnHixpWNaybtGTDL2PZx4IxjPX0bDaOa9VXIdIj763ZpiQa1tN5zeDpcd+o8s4r/xs1rCfd0cFBd3Qy/BP6JviA8et/NOrbgQVAtKhUwzqmeLP0JRdm4Oll4RYtGrOLypZsXmME0aKzJRt+0NjHoniL9Jq3lmxz6s/ztmQ2vNXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIZcS+4ni6J73r1sr3/fJ7oXnDzavfDk4mL3Zf/yQ90L735s9b8W0cKrZWEG6Izft0UlftSwjr23NHUQ6ZDN1tLUQfEW6ZZ3vKhhVcO6SUs2/DKWfSwYw1hPz2bjuFZ9FSI98t6abUqiYR3ezVw1o8OGC9DUHq4byDkNa2luh3+u2BzXqm+J2sKswAJCDeuY4s3SWxdmLdlKYxQtGrOLypZsXmMEXlMHLdnwg8Y+FsVbpNe8tWSbU3+etyWz4a1WnxB5z2abW381b5EO2WzFG7pF5D3SPe9efQF6bW6ASG/JxjXkWnI/WRS95v33Tj/Xveiex7vb73l02DKGxcWzvvPO7t//f/2Pw5ZzDl7+U93XffvLVv9rES28WhZmgM74fVtU4kcN69h7S1MHkQ7ZbC1NHRRvkW55x4saVjWsm7Rkwy9j2ceCMYz19Gw2jmvVVyHSI++t2aakGta+Gzz7vujh0fGFxnXV0B4N7eOcxtF8N5R3TYdxrfoWeOqpfhHRL07u6Bcg7/zU57snn3zywuP73vfEapE01e9/7IvdS/vFzx3vfaL75Ge/ONJ4sA0t0jkGx7qMjhc8431z+1w98t6S7fgT/cKrX5jxvG1uLw+88Xx6ejbbzz24Pvc/+ePPXtB4FG+RXvPWko1zMhaPU41H8R7pmWz4QWOfqcajeIv0mreWbHPqz/O2ZDa81eqz6J73bLa59VfzFuk8stmKN/TN7VO95j3SPe9efRW9NjfM0VuycQ25ltxPm9tHen/c773vcVN/9f/xtu6bXvFL3dff9kpTf80bf2e1mGUhMNWe/dIfW23nf6da0Vlg/OffekdKf9nP/Mrq+J7O+K/9b//eBY0xaDVvkc72bDb8/Pm/8pzVczfVis5Y/Gf0lmxk4nrWvEV6NtuffOQT/XG/dfXg/29qm/pf+K+/vfudd99zaZ1HNhvH47g1b5FevEW65R0vPJ88b5vbN/Va/c3RW7J59TVHXzKbV3888MY4T89ma6k/HmzHm6dns+GXsewz1XgwhrGens3Gca36mqtH3udmW7hhHeC7oqvGdXg3dbVt8m7nDWhYv/zlL3cPPfTQahFx+31PdG9+8NOrf08fL+0XGLcZ+rs++qnue/uFy+29/kefOB1pPNiGFukcg2NdRscLnvG+uX2uHnlvyfb6Dzy8WrjxvG1uLw+88Xx6ejbb0R8/ujr3j9xvH7t4i/Sat5ZsnJOxeJxqPIr3SM9kww8a+0w1HsVbpNe8tWSbU3+etyWz4a1Wn0X3vGezza2/mrdI55HNVryhb26f6jXvke559+qr6LW5YY7eko1ryLXkftrcXh7/8+vf2j33rvu7//61bzP1n/jlN3b/zl9+TvcffvPzq/q/+189d7UQmGp//bZXrLbzv1Ot6Cww/tO/+5KUfscrf351fE9nvOWdMWg1b5HO9mw2/PCc8txNtaIzFv8ZvSUbmbieNW+Rns32nnvfvzouD/7/prap/wd/7XndG3777ZfWeWSzcTyOW/MW6cVbpFve8ZKtvzl6SzavvuboS2bz6o8H3hjn6dlsLfXHg+148/RsNvwyln2mGg/GMNbTs9k4LteL6zbV5uiR97nZaGjn0NawDmz+waP1XwW2H9XvvUYf6W3VtwSLk+hje/xX/dpH46KPtmU++gaevq2PvtW8tWSLPvqGN57PJT7WVz56Gn0sL/uxvZZs3kdPwfvYLLRkww8a+1gUb5Fe89aSbU79ed6WzIa3Wn1C5D2bbW791bxFOmSzFW/oFpH3SPe8e/UF6LW5ASI9yvbeT3+me+HwPdJHnhw/Lz/xBw+uvkf63f/yo8OWMfzXZl7kax99a/nYXutH2yId7xzf02vZvI+uQaSzPZsNP/pI8Nh7y8dmIdIhm63lY7NQvEW65R0v+kiwPhK8SUs2/DKWfSwYw1hPz2bjuFZ9FSI98t6abcpWGlb7Hc6BWY0j74bqjy5lFmYQLdy2sTCreWvJxuKbRbi3qFTDehGvqYOWbPhBYx+L4i3Sa95ass2pP8/bktnwVqtPiLxns82tv5q3SIdstuIN3SLyHumed6++AL02N0CkP/CZL3Uv7pvOms6i8v/6bYfd//lv3X5hUXnnz//66nuk3/AP7hy2jOHFmxf52sKsZVHZuvCKdLxzfE+vZfMWVhDpbM9mw48a1rH30rRlmjqIdMhma2nqoHiLdMs7XtSwqmHdpCUbfhnLPhaMYaynZ7NxXKu+CpEeeW/NNiXRsPbN4eoPKpUOlO+zHpx/Z3WK2bAOYzZ/Gmd4l3Z1WOdna7L6NqgtzAosjtSwjineLJ3FN4twb1GphvUiXlMHLdnwg8Y+FsVbpNe8tWSbU3+etyWz4a1WnxB5z2abW381b5EO2WzFG7pF5D3SPe9efQH6S+59vOot0t96zx93f/kf/2/d13//q4ctY6JFZW3xAui8yNcWZi2LytaFV6S3ZGMMWs1bpLM9mw0/aljH3kvTVmucim41dRDpkM3W0tRB8Rbplne8qGFVw7pJSzb8MpZ9LBjDWE/PZuO4Vn0VIj3y3pptSqJhpR887pvWjY/6Hp03nhfwGtbR9vM/5LQ+5rQBbtXbqS3MCiyO1LCOKd4sncU3i3BvUamG9SJeUwct2fCDxj4WxVuk17y1ZJtTf563JbPhrVafEHnPZptbfzVvkQ7ZbMUbukXkPdI97159wet+//3dc+96f/c3X/8Hw5YxkV4WjbzYWkSLSsZZixdA50W+tjBrWVS2LrwivSUbY9Bq3iKd7dls+FHDOvZemrZa41R0q6mDSIdsNq++INKLt0i3vONFDevls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNSTWsBd7VzL+LyU/fbPcju0szZ1GphnVM8WbpLL5ZhNcWldGisyVbaYxoQiyKt0iveWvJ1tLUQUs2/KCxj0XxFuk1by3Z5tSf523JbHir1SdE3rPZ5tZfzVukQzZb8YZuEXmPdM87v0X6wrsf7V747k8OW8a0LLygLBojvbaoZJy1eAF0XuRrCzO8qWG9CNuz2fCjhnXsvTRttcap6FZTB5EO2WxefUGkF2+RbnnHixrWy2fz6g/wxjhPz2ZrqT9gO948PZsNv4xlHwvGMNbTs9k4rlVfhUiPvLdmm9LWsJ4cd8fT37SZxWl3QrN7dJ3a1XmLSjWsY4o3S2fxzSKc580Cb2pYL+I1ddCSDT9o7GNRvEV6zVtLtjn153lbMhveavUJkfdstrn1V/MW6ZDNVryhW0TeI51tL77n8f7x2AVvvMD+xe94efeXDr5n2DKmZeEFZdEY6bVFJeOsxQug8yJfW5jhTQ3rRdiezYYfNaxj76VpqzVORbeaOoh0yGbz6gsivXiLdMs7XtSwXj6bV3+AN8Z5ejZbS/0B2/Hm6dls+GUs+1gwhrGens3Gca36KkR65L0125SmhjXPSXe85e+X7oI5i0o1rGOKN0tn8c0inOfNAm9qWC/iNXXQkg0/aOxjUbxFes1bS7Y59ed5WzIb3mr1CZH3bLa59VfzFumQzVa8oVug87Mv/PyM5T3SP3z6SPcNP/Ta7ht/+J92v3tFi8pIry0qGWctXgCdF3nPezZb68Ir0luyMQat5i3S2Z7Nhp9MU1eI9JZsZGpdVGaylaat1jgV3WrqINIhm82rL4j04i3SLe942cXcksnm1RdE+pLZvPoDvDHO07PZWuoP2I43T89mwy9j2ceCMYz19Gw2jmvVVyHSI++t2aZcUcN6PZmzqFTDOqZ4s3QW3yzCed4s8KaG9SJeUwct2fCDxj4WxVuk17y1ZJtTf563JbPhrVafEHnPZptbfzVvkQ7ZbMUbusXvf/AT3cHx+7q//esn3ccfuVgHkb4Pi8pIry0qGWctXgCdF3nPezZb68Ir0luyMQat5i3S2Z7Nhp9MU1eI9JZsZGpdVGaylfqqNU5e/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeYsKtWwjineLJ3FN4twnjcLvKlhvYjX1EFLNvygsY9F8RbpNW8t2ebUn+dtyWx4q9UnRN6z2ebWX81bpEM2292n698ifdE9jw9bxmxr0XmVi8pIry0qGWctXgCdF3nPezZb68Ir0luyMQat5i3S2Z7Nhp9MU1eI9JZsZGpdVGaylfrK1B9EOmSzefUFkV68RbrlHS+7mFsy2bz6gkhfMptXf4A3xnl6NltL/QHb8ebp2Wz4ZSz7WDCGsZ6ezcZxrfoqRHrkvTXbFDWsl2DOolIN65jizdJZfLMI53mzwJsa1ot4TR20ZMMPGvtYFG+RXvPWkm1O/XnelsyGt1p9QuQ9m21u/dW8RTrgjd8c5bdHLVb6PY91/+rhJ4cta1hY/cd/7we7r/mWFw1bxrQszGAfFpWRXltUMs5avAA6L/Ke92y21oVXpLdkYwxazVuksz2bDT+Zpq4Q6S3ZyNS6qMxkK/WVqT+IdMhm8+oLIr14i3TLO152Mbdksnn1BZG+ZDav/gBvjPP0bLaW+gO2483Ts9nwy1j2sWAMYz09m43jWvVViPTIe2u2KWpYL8GcRaUa1jHFm6Wz+GYRzvNmgTc1rBfxmjpoyYYfNPaxKN4iveatJduc+vO8LZkNb7X6hMh7Ntvc+qt5i3Tgt0b5zVF+e9Ti//6SH+/+yx/95e4Xf+udw5Y1ZWHFC5JFy8IM9mFRmcnGizPjrMULoPMi73nPZmtdeEV6SzbGoNW8RTrbs9nwk2nqCpHeko1MrYvKTLZSX5n6g0iHbDavviDSi7dIt7zjZRdzSyabV18Q6Utm8+oP8MY4T89ma6k/YDvePD2bDb+MZR8LxjDW07PZOK5VX4VIj7y3ZpuihvUSzFlUqmEdU7xZOotvFuE8bxZ4U8N6Ea+pg5Zs+EFjH4viLdJr3lqyzak/z9uS2fBWq0+IvGezRfXHdz//4Xs+3T8e7k4+evEP3X36c1/svuudn6jqwAuKtXAr1F7UysIK3aJlYQb7sKjMZOPFmXHW4gXQeZH3vGeztS68Ir0lG2PQat4ine3ZbPjJNHWFSG/JRiZv0Rjp2WylvjL1B5EO2WxefUGkF2+RbnnHyy7mlkw2r74g0pfM5tUf4I1xnp7N1lJ/wHa8eXo2G34Zyz4WjGGsp2ezcVyrvgqRHnlvzTZFDeslmLOoVMM6pnizdBbfLMJ53izwpob1Il5TBy3Z8IPGPhbFW6TXvLVkm1N/nrcls+GtVp8Qec9m2/ye6CNPXhzrLbwg0oEXlEi3XtTKwgrdwlt4QaR73vGyi0VlJhsvzoyzFi+Azou85z2brXXhFekt2RiDVvMW6WzPZsNPpqkrRHpLNjJ5i8ZIz2Yr9ZWpP4h0yGbz6gsivXiLdMs7XnYxt2SyefUFkb5kNq/+AG+M8/Rstpb6A7bjzdOz2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7YpalgvwZxFpRrWMcWbpbP4ZhHO82aBNzWsF/GaOmjJhh809rEo3iK95q0l25z687wtmQ1vtfqEyDu69T3Qwh33Pta9uN/njR//3LBlDYsXvif6Hz3n+y698IJIB15QIt16USsLK3SLomcWZuB5x8suFpWZbLw4M85avAA6L/Ke92y21oVXpLdkYwxazVuksz2bDT+Zpq4Q6S3ZyOQtGiM9m63UV6b+INIhm82rL4j04i3SLe942cXcksnm1RdE+pLZvPoDvDHO07PZWuoP2I43T89mwy9j2ceCMYz19Gw2jmvVVyHSI++t2aaoYb0EcxbMaljHFG+WTmNAA2A1bYA3NawX8Zo6aMmGHzT2sSjeIr3mrSXbnPrzvC2ZDW+1+oTIO98T5Xugr3nzu4YtY77hB36m+8YfeV33g7/y5mHLmrkLM2vhBZEOvKBEuvWiVryhW0TeI93zjpddLCoz2XhxZpy1eAF0XuQ979lsrQuvSG/Jxhi0mrdIZ3s2G34yTV0h0luykclbNEZ6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5iyY1bCOKd4sncaABsBq2gBvalgv4jV10JINP2jsY1G8RXrNW0u2OfXneVsy29//lx/vXnD3o907PvCJYcuY73jrg90L736se+M9Hxy2jMm+MMxdmFkLL4h0wFukW96LN3SLyHuke97xsotFZSYb15Bx1uIF0LnWnvdsttaFV6S3ZGMMWs1bpLM9mw0/maauEOkt2cjkzQ2Rns1W6itTfxDpkM3m1RdEevEW6ZZ3vOxibslk8+oLIn3JbF79Ad4Y5+nZbC31B2zHm6dns+GXsexjwRjGeno2G8e16qsQ6ZH31mxT1LBegjkLZjWsY4o3S6cxoAGwmjbAmxrWi3hNHbRkww8a+1gUb5Fe89aSbU79ed4i/Y7f//iqqfzZez8+bBlT9B9610eGLecw6VqLm8JSLwxzF2Y1b5EO2WzFG7pF5D3SPe942cWiMpONa8g4a/EC6Fxrz3s2W+vCK9JbsjEGreYt0tmezYafTFNXiPSWbGTy5oZIz2Yr9ZWpP4h0yGbz6gsivXiLdMs7XnYxt2SyefUFkb5kNq/+AG+M8/Rstpb6A7bjzdOz2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7YpalgvwZwFsxrWMcWbpZfGyWraAG9qWC/iNXXQkg0/aOxjUbxFes1bS7Y59ed5q30PtPAN/+DO7uu+/WXdnT//68OWMSv9eS/rDl7+U8OWc5h0rcVNYakXhrkLs5q3SIdstuIN3SLyHumed7zsYlGZycY1ZJy1eAF0rrXnPZutdeEV6S3ZGINW8xbpbM9mw0+mqStEeks2MnlzQ6Rns5X6ytQfRDpks3n1BZFevEW65R0vu5hbMtm8+oJIXzKbV3+AN8Z5ejZbS/0B2/Hm6dls+GUs+1gwhrGens3Gca36KkR65L012xQ1rJdgzoJZDeuY4s3SW5o6aMnW0tRB5L0lW0tTBy3Z8IPGPhbFW6TXvLVkm1N/nrfa90ALLS8MjLMWN4WlXhjmLsxq3iIdstmKN3SLyHuke97xsotFZSYb15Bx3E8W6Fxrz3s2G/cu22uLG7Zz7pq3SG/J5tUXRDrbs9nwk2nqCpHeko1M3twQ6dlspb4y9QeRDtlsXn1BpBdvkW55x8su5pZMNq++INKXzObVH+CNcZ6ezdZSf8B2vHl6Nht+Gcs+FoxhrKdns3Fcq74KkR55b802RQ3rJZizYFbDOqZ4s/SWpg5asrU0dRB5b8nW0tRBSzb8oLGPRfEW6TVvLdmi+nv+m/9otc9PvO2eYcuYJV8YGGctbgpLvTDMXZjVvEU6ZLMVb+gWkfdI97zjZReLykw2riHjuJ8s0LnWnvdsNu5dttcWN2zn3DVvkd6SzasviHS2Z7PhJ9PUFSK9JRuZvLkh0rPZSn1l6g8iHbLZvPqCSC/eIt3yjpddzC2ZbF59QaQvmc2rP8Ab4zw9m62l/oDtePP0bDb8MpZ9LBjDWE/PZuO4Vn0VIj3y3pptihrWSxAtmFnsq2EdU7xZektTBy3ZWpo6iLy3ZGtp6qAlG37Q2MeieIv0mrdIf/m7P7b6nij/O4XfGn3ByaPd//HBTw9bxiw9eUYTv7W4KSz1wjB3YVbzFumQzVa8oVtE3iPd846XXSwqM9m4hozjfrJA51p73rPZuHfZXlvcsJ1z17xFeks2r74g0tmezYafTFNXiPSWbGTy5oZIz2Yr9ZWpP4h0yGbz6gsivXiLdMs7XnYxt2SyefUFkb5kNq/+AG+M8/Rstpb6A7bjzdOz2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7YpalgvgRpWNayFyHtLtqipK94jPZMNP2jsY1G81fQ737f+nuhP/fHjw5YxkX7wwz+z+h4p/zvla77lRd2zvvPO7rVvesewZczSk2c08VuLm8JSLwxzF2Y1b5EO2WzFG7pF5D3SPe942cWiMpONa8g47icLdK615z2bjXuX7bXFDds5d81bpLdk8+oLIp3t2Wz4yTR1hUhvyUYmb26I9Gy2Ul+Z+oNIh2w2r74g0ou3SLe842UXc0smm1dfEOlLZvPqD/DGOE/PZmupP2A73jw9mw2/jGUfC8Yw1tOz2TiuVV+FSI+8t2aboob1EqhhVcNaiLy3ZCtN4XVsWL/5zp9bfU/0W/8//2zYMibSvReGq548o4nfWtwUIu/ZbHMXZjVvkQ7ZbMUbukXkPdI973jZxaIyk41ryDjuJwt0rrXnPZvNqy9gO+eueYv0lmxefUGksz2bDT+Zpq4Q6S3ZyOTNDZGezVbqK1N/EOmQzebVF0R68Rbplne87GJuyWTz6gsifclsXv0B3hjn6dlsLfUHbMebp2ez4Zex7GPBGMZ6ejYbx7XqqxDpkffWbFPUsF4CNaxqWAuR95ZspSncx4b1f7jrvtXz+crffe+wZUzL5AlsZwLLTK5LT57RxG8tbgqR92y2uQuzmrdIh2y24g3dIvIe6Z53vOxiUZnJxjVkHPeTBTrX2vOezebVF7Cdc9e8RXpLNq++INLZns2Gn0xTV4j0lmxk8uaGSM9mK/WVqT+IdMhm8+oLIr14i3TLO152Mbdksnn1BZG+ZDav/gBvjPP0bLaW+gO2483Ts9nwy1j2sWAMYz09m43jWvVViPTIe2u2KWpYLwELdTWsY9Sw7l/D+k/+f59YfQ/0pX/wr4ctY151z1q/490X9e9+z6dW2use+NSwZcySkyewneNnJtelJ0/PO+OsxU0h8p7NNndhVvMW6ZDNVryhW0TeI93zjpddLCoz2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8JNp6gqR3pKNTN7cEOnZbKW+MvUHkQ7ZbF59QaQXb5FuecfLLuaWTDavviDSl8zm1R/gjXGens3WUn/Adrx5ejYbfhnLPhaMYaynZ7NxXKu+CpEeeW/NNkUN6yVQw6qGtbBkw/qKB9aef/oD9li28z3Qms7vhPJ7ofxuqMWdv/jG1fdEv+kFrxi2nPOXDr5nNbb2W6RLTp7Ado6fmVyXnjw974yzFjeFyHs229yFWc1bpEM2W/GGbhF5j3TPO152sajMZOMaMo77yQKda+15z2bz6gvYzrlr3iK9JZtXXxDpbM9mw0+mqStEeks2MnlzQ6Rns5X6ytQfRDpks3n1BZFevEW65R0vu5hbMtm8+oJIXzKbV3+AN8Z5ejZbS/0B2/Hm6dls+GUs+1gwhrGens3Gca36KkR65L012xQ1rJeAJkIN6xg1rLa3lmz//f/3Dd1z33R/9/yf+81hyxi2P+euun5dJ09gO8fPTK5LT56ed8ZZi5tC5D2bbe7CrOYt0iGbrXhDt4i8R7rnHS+7WFRmsnENGcf9ZIHOtfa8Z7N59QVs59w1b5Heks2rL4h0tmez4SfT1BUivSUbmby5IdKz2Up9ZeoPIh2y2bz6gkgv3iLd8o6XXcwtmWxefUGkL5nNqz/AG+M8PZutpf6A7Xjz9Gw2/DKWfSwYw1hPz2bjuFZ9FSI98t6abYoa1kughlUNa6G1YX3DvQ+ufH3H7/zJsOWcaAJiO0Xu6YznOBZMDoy39KucPMHLxvarnDw974yzFjeFyHs229yFWc1bpEM2W/GGbhF5j3TPO152sajMZOMaMo77yQKda+15z2bz6gvYzrlr3iK9JZtXXxDpbM9mw0+mqStEeks2MnlzQ6Rns5X6ytQfRDpks3n1BZFevEW65R0vu5hbMtm8+oJIXzKbV3+AN8Z5ejZbS/0B2/Hm6dls+GUs+1gwhrGens3Gca36KkR65L012xQ1rJeABkMN65hbtWEt3wPlO58WfAcU/UXvsX8z1HthiCYgtlPkns54jmPB5MB4S7/KyRO8bGy/ysnT8844a3FTiLxns81dmNW8RTpksxVv6BaR90j3vHv1Beh4rnmL9JZsXEPGcT9ZoHOtPe/ZbF59Ads5d81bpLdk8+oLIp3t2Wz44TnlubNAZ+y0/gqR3pKNTN7cEOnZbKW+MvUHkQ7ZbF59QaQXb5FuecfLLuaWTDavviDSl8zm1R/gjXGens3WUn/Adrx5ejYbfhnLPhaMYaynZ7NxXKu+CpEeeW/NNkUN6yVQw3rrNKxv/PjnVt8T/ZH77WOvvgf6vJetvvNpwXdA0Z/1bYfDljHeC0M0AbGdIvd0xnMcCyYHxlv6VU6e4GVj+1VOnp53xlmLm0LkPZtt7sKs5i3SIZuteEO3iLxHuufdqy9Ax3PNW6S3ZOMaMo77yQKda+15z2bz6gvYzrlr3iK9JZtXXxDpbM9mww/PKc+dBTpjp/VXiPSWbGTy5oZIz2Yr9ZWpP4h0yGbz6gsivXiLdMs7XnYxt2SyefUFkb5kNq/+AG+M8/Rstpb6A7bjzdOz2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7YpalgvgRrWW6dhfdnr37r6nujfOPrnw5YxFBiFmJk8wXthiCYgtlPkns54jmOBN8ZbeusEE3lvycb2q5w8Pe+MsxY3hch7NtvchVnNW6RDNlvxhm4ReY90z7tXX4CO55q3SG/JxjVkHPeTBTrX2vOezebVF7Cdc9e8RXpLNq++INLZns2GH55TnjsLdMZO668Q6S3ZyOTNDZGezVbqK1N/EOmQzebVF0R68Rbplne87GJuyWTz6gsifclsXv0B3hjn6dlsLfUHbMebp2ez4Zex7GPBGMZ6ejYbx7XqqxDpkffWbFPUsF4CNazXq2Et3xP9rnd+Ythyzh133b3S+F1RCwqoNsEAOoWYmTzBe2GIJiC2483TGe95r2VrnWAi7y3Z2H6Vk6fnnXHW4qYQec9mm7swq3mLdMhmK97QLSLvke559+oL0PFc8xbpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fDDc8pzZ4HO2Gn9FSK9JRuZvLkh0rPZSn1l6g8iHbLZvPqCSC/eIt3yjpddzC2ZbF59QaQvmc2rP8Ab4zw9m62l/oDtePP0bDb8MpZ9LBjDWE/PZuO4Vn0VIj3y3pptSlPDenpy3B2fnA7/uvnQ4KhhHdOS7bXD9zxf/If29zz/xYcf7fVHff3k0ar3fZ08AW+1F4ZoAmI73jw9m611gom8t2Rj+1VOnp53xlmLm0LkPZtt7sKs5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8MNzynNngc7Yaf0VIr0lG5m8uSHSs9lKfWXqDyIdstm8+oJIL94i3fKOl13MLZlsXn1BpC+Zzas/wBvjPD2braX+gO148/RsNvwyln0sGMNYT89m47hWfRUiPfLemm1KW8N6fNgdHqthLdyqDevt9z7e3XbfE1XvL+k1HlO9fA+09j3P177pHd1f/I6Xu/qzvvPO7mufffuwZcy+Tp6At9oLQzQBsR1vnp7N1jrBRN5bsrH9KidPzzvjrMVNIfKezTZ3YVbzFumQzVa8oVtE3iPd8+7VF6DX5gaI9JZsXEPGcT9ZoHOtPe/ZbF59Ads5d81bpLdk8+oLIp3t2Wz44TnlubNAZ+y0/gqR3pKNTN7cEOnZbKW+MvUHkQ7ZbF59QaQXb5FuecfLLuaWTDavviDSl8zm1R/gjXGens3WUn/Adrx5ejYbfhnLPhaMYaynZ7NxXKu+CpEeeW/NNiXZsJ52J0eH3cHBwfpxeNRtvtHKO69Hh4N2cNgdzWpqx8c8PDrpt2zSqrejhvWit3fe/2D37F/7w+6/+6e/1z306MWP7n749JHub77+D1YP/v8m3KTczLUJ6KZOnuBliyYgtuPN07PZ8MNY9rFgDGM93fPeko3tVzl5et4ZZy1uCpH3bLa5C7Oat0iHbLbiDd0i8h7pnnevvgC9NjdApLdk4xoyjvvJAp1r7XnPZvPqC9jOuWveIr0lm1dfEOlsz2bDD88pz50FOmOn9VeI9JZsZPLmhkjPZiv1lak/iHTIZvPqCyK9eIt0yztedjG3ZLJ59QWRvmQ2r/4Ab4zz9Gy2lvoDtuPN07PZ8MtY9rFgDGM9PZuN41r1VYj0yHtrtimphpV3Vg8Oj88awtOTo/Om9PS4O+yb1LMedfXvvoEMmtbRMU9PuuO+4d0c06pvg1uxYf1XH/nUSvuH73m4+/TnvjhsPaflhYGblJu5NgHd1MkTvGzRBMR2vHl6Nht+GMs+FoxhrKd73luysf0qJ0/PO+OsxU0h8p7NNrf+at4iHbLZijd0i8h7pHvevfoC9NrcAJHeko1ryDjuJwt0rrXnPZvNqy9gO+eueYv0lmxefUGksz2bDT88pzx3FuiMndZfIdJbspHJmxsiPZut1Fem/iDSIZvNqy+I9OIt0i3veNnF3JLJ5tUXRPqS2bz6A7wxztOz2VrqD9iON0/PZsMvY9nHgjGM9fRsNo5r1Vch0iPvrdmmJBrW00s3gydHB93B0cnwL4uT7qhvake79E3wwcFRr6z+0ahvh+vYsEbf84z0JV8YuEm5mWsT0E2dPMHLFk1AbMebp2ez4Yex7GPBGMZ6uue9JRvbr3Ly9LwzzlrcFCLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nww3PKc2eBzthp/RUivSUbmby5IdKz2Up9ZeoPIh2y2bz6gkgv3iLd8o6XXcwtmWxefUGkL5nNqz/AG+M8PZutpf6A7Xjz9Gw2/DKWfSwYw1hPz2bjuFZ9FSI98t6abUqiYR3ezaQZnNmzhg3r6l3YSXO5+U5tq74FnnzyyVVTd0ffGL7zU59f/Xv6+L73PbFqWKf6/Y99sXtp3+je8d4nuk9+9osjjQfbyvc8Pf22ex9fHesy+s/+87ecfc9zc/tc/XfefU/3F/7rb+8nx2/t/uQjn7i0zjY0S3/Zz/zK6mb+2v/27422l8dr3vg7/eT5HFdn0uaGv6z+7Jf+2Orc//m33nFB44E3xnm6570lG+dkLB6nGg+2483Ts9nww1j2mWo8GMNYT/e8t2RjO9eT526q8Yi8L5mNcdQB9TDViu55z2abW381b5HOI5uteEPf3D7Va94j3fPu1VfRa3PDHL0lG9eQcdxPm9s3da615z2bzauvonPumrdIb8nm1dccne3ZbPjhOeW5m2pFZ+y0/ubqLdnI5M0NkZ7NVuorU39zdB7ZbF59zdGLt0i3vONlF3NLJptXX3P0JbN59ccDb4zz9Gy2lvrjwXa8eXo2G34Zyz5TjQdjGOvp2Wwc16qvuXrkfW62RRvWvhvsm1Ca1oPu8Og4aFyNdz+nmO+GMm5oOFv1Rp5++unuoYceWjWst/eN4Zsf/PTq39PHS+9b//Ghqf6uj36q+96+Wb291//oE6cjjcfJ+//47Hue/P+a/rd/4+7uDb/3nkvpP/HLb+z+3f/quaubYnP7XP0Nv/327j/4a89b7fOee99/aZ1taJZ+xyt/fnUz/4ff/PzR9vLA27/zl5/j6p53T//rt71ide7/9O++5ILGA2+M83TPe0s2zslYPE41HmzHm6dns+GHsewz1XgwhrGe7nlvycZ2rifP3VTjEXlfMhvjqAPqYaoV3fOezTa3/mreIp1HNlvxhr65farXvEe6592rr6IztuYt0luycQ0Zx/20uX1T51p73rPZvPoqOueueYv0lmxefc3R2Z7Nhh+eU567qVZ0xk7rb67eko1MXM+at0jPZiv1Zd3Dm7pVf3N0HtlsXn3N0Yu3SLe842UXc0vNm6d79TVHXzKbV3888MY4T89ma6k/HmzHm6dns+GXsewz1XgwhrGens3GcbleXLepNkePvM/N9oOv+mdDt+WTbFgH+K7oqnE9rDak8ceBe/a8YS1EHwn+rt/98Gqff3bPg8OWNff+60dWP99S+x5oy8dTwNNbPsIBLR9PgeLN0vmvKtzMtY944O0mfjwFvGzRRzzYjjdPz2bDD2PZx4IxjPV0z3tLNrZf5cdTPO+Mq9UnRN6z2ebWX81bpEM2W/GGbhF5j3TPu1dfgF6bGyDSW7JxDRnH/WSBzrX2vGezefUFbOfcNW+R3pLNqy+IdLZns+GH55TnzgKdsdP6K0R6SzYyeXNDpGezlfrK1B9EOmSzefUFkV68RbrlHS+7mFsy2bz6gkhfMptXf4A3xnl6NltL/QHb8ebp2Wz4ZSz7WDCGsZ6ezcZxrfoqRHrkvTXblLaGdWD6R5gKZx8dHv5dpfUjv5G+JWhG+b4n3/u04OJYLwxLTp7g6S0TDLRMnlC8WTo3KTezNcEA3m7i5AletmgCYjvePD2bDT+MZR8LxjDW0z3vLdnYfpWTp+edcbX6hMh7Ntvc+qt5i3TIZive0C0i75HueffqC9BrcwNEeks2riHjuJ8s0LnWnvdsNq++gO2cu+Yt0luyefUFkc72bDb8WK/dBXTGTuuvEOkt2cjkzQ2Rns1W6itTfxDpkM3m1RdEevEW6ZZ3vOxibslk8+oLIn3JbF79Ad4Y5+nZbC31B2zHm6dns+GXsexjwRjGeno2G8e16qsQ6ZH31mxTttKwWu9wrpvVuQ0j74bu/x9d4nuefN+T3/+04OJYLwxLTp7g6S0TDLRMnlC8WTo3KTezNcEA3m7i5AletmgCYjvePD2bDT+MZR8LxjDW0z3vLdnYfpWTp+edcbX6hMh7Ntvc+qt5i3TIZive0C0i75HueffqC9BrcwNEeks2riHjuJ8s0LnWnvdsNq++gO2cu+Yt0luyefUFkc72bDb8WK/dBXTGTuuvEOkt2cjkzQ2Rns1W6itTfxDpkM3m1RdEevEW6ZZ3vOxibslk8+oLIn3JbF79Ad4Y5+nZbC31B2zHm6dns+GXsexjwRjGeno2G8e16qsQ6ZH31mxTEg1r3xwe8hHg0onyfdbxx37jZnUYs/nTOMO7tKvDOj9bk9W3wZyLZ70wLDl5gqd7EwhEesvkCcWbpXOTcjNbEwzg7SZOnuBliyYgtuPN07PZ8MNY9rFgDGM93fPeko3tUf153pfMxrhafULkPZttbv3VvEU6ZLMVb+gWkfdI97x79QXotbkBIr0lG9eQcdxPFuhca897NptXX8B2zl3zFukt2bz6gkhnezYbfqzX7gI6Y6f1V4j0lmxk8uaGSM9mK/WVqT+IdMhm8+oLIr14i3TLO152Mbdksnn1BZG+ZDav/gBvjPP0bLaW+gO2483Ts9nwy1j2sWAMYz09m43jWvVViPTIe2u2KYmGlX7wuG9a+4bzYP3gDy+dtYardzbPtfPHZgM7NKwXttHorvc/PJq+N9qqtzPn4lkvDEtOnuDp3gQCkd4yeULxZuncpNzM1gQDeLuJkyd42aIJiO148/RsNvwwln0sGMNYT/e8t2Rje1R/nvclszGuVp8Qec9mm1t/NW+RDtlsxRu6ReQ90j3vXn0Bem1ugEhvycY1ZBz3kwU619rzns3m1RewnXPXvEV6SzavviDS2Z7Nhh/rtbuAzthp/RUivSUbmby5IdKz2Up9ZeoPIh2y2bz6gkgv3iLd8o6XXcwtmWxefUGkL5nNqz/AG+M8PZutpf6A7Xjz9Gw2/DKWfSwYw1hPz2bjuFZ9FSI98t6abUqqYS3wrmb+XUx+z3W7H9ldmjkXz3phWHLyBE/3JhCI9JbJE4o3S+cm5Wa2JhjA202cPMHLFk1AbMebp2ez4Yex7GPBGMZ6uue9JRvbo/rzvC+ZjXG1+oTIezbb3PqreYt0yGYr3tAtIu+R7nn36gvQa3MDRHpLNq4h47ifLNC51p73bDavvoDtnLvmLdJbsnn1BZHO9mw2/Fiv3QV0xk7rrxDpLdnI5M0NkZ7NVuorU38Q6ZDN5tUXRHrxFumWd7zsYm7JZPPqCyJ9yWxe/QHeGOfp2Wwt9Qdsx5unZ7Phl7HsY8EYxnp6NhvHteqrEOmR99ZsU9oa1pPj7tj/TZsKp90Jze7RdWpX8y8MS06e4OneBAKR3jJ5QvFm6dyk3MzWBAN4u4mTJ3jZogmI7Xjz9Gw2/DCWfSwYw1hP97y3ZGN7VH+e9yWzMa5WnxB5z2abW381b5EO2WzFG7pF5D3SPe9efQF6bW6ASG/JxjVkHPeTBTrX2vOezebVF7Cdc9e8RXpLNq++INLZns2GH+u1u4DO2Gn9FSK9JRuZvLkh0rPZSn1l6g8iHbLZvPqCSC/eIt3yjpddzC2ZbF59QaQvmc2rP8Ab4zw9m62l/oDtePP0bDb8MpZ9LBjDWE/PZuO4Vn0VIj3y3pptSlPDmuekO97y90t3wZyLZ70wLDl5gqd7EwhEesvkCcWbpXOTcjNbEwzg7SZOnuBliyYgtuPN07PZ8MNY9rFgDGM93fPeko3tUf153pfMxrhafULkPZttbv3VvEU6ZLMVb+gWkfdI97x79QXotbkBIr0lG9eQcdxPFuhca897NptXX8B2zl3zFukt2bz6gkhnezYbfqzX7gI6Y6f1V4j0lmxk8uaGSM9mK/WVqT+IdMhm8+oLIr14i3TLO152Mbdksnn1BZG+ZDav/gBvjPP0bLaW+gO2483Ts9nwy1j2sWAMYz09m43jWvVViPTIe2u2KVfUsF5P5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNUcN6CeZcPOuFYcnJEzzdm0Ag0lsmTyjeLJ2blJvZmmAAbzdx8gQvWzQBsR1vnp7Nhh/Gso8FYxjr6Z73lmxsj+rP875kNsbV6hMi79lsc+uv5i3SIZuteEO3iLxHuufdqy9Ar80NEOkt2biGjON+skDnWnves9m8+gK2c+6at0hvyebVF0Q627PZ8GO9dhfQGTutv0Kkt2Qjkzc3RHo2W6mvTP1BpEM2m1dfEOnFW6Rb3vGyi7klk82rL4j0JbN59Qd4Y5ynZ7O11B+wHW+ens2GX8ayjwVjGOvp2Wwc16qvQqRH3luzTVHDegnmXDzrhWHJyRM83ZtAINJbJk8o3iydm5Sb2ZpgAG83cfIEL1s0AbEdb56ezYYfxrKPBWMY6+me95ZsbI/qz/O+ZDbG1eoTIu/ZbHPrr+Yt0iGbrXhDt4i8R7rn3asvQK/NDRDpLdm4hozjfrJA51p73rPZvPoCtnPumrdIb8nm1RdEOtuz2fBjvXYX0Bk7rb9CpLdkI5M3N0R6Nlupr0z9QaRDNptXXxDpxVukW97xsou5JZPNqy+I9CWzefUHeGOcp2eztdQfsB1vnp7Nhl/Gso8FYxjr6dlsHNeqr0KkR95bs01Rw3oJ5lw864VhyckTPN2bQCDSWyZPKN4snZuUm9maYABvN3HyBC9bNAGxHW+ens2GH8ayjwVjGOvpnveWbGyP6s/zvmQ2xtXqEyLv2Wxz66/mLdIhm614Q7eIvEe6592rL0CvzQ0Q6S3ZuIaM436yQOdae96z2bz6ArZz7pq3SG/J5tUXRDrbs9nwY712F9AZO62/QqS3ZCOTNzdEejZbqa9M/UGkQzabV18Q6cVbpFve8bKLuSWTzasviPQls3n1B3hjnKdns7XUH7Adb56ezYZfxrKPBWMY6+nZbBzXqq9CpEfeW7NNuVYN6+nJcXd8cjr8a/fMuXjWC8OSkyd4ujeBQKS3TJ5QvFk6Nyk3szXBAN5u4uQJXrZoAmI73jw9mw0/jGUfC8Yw1tM97y3Z2B7Vn+d9yWyMq9UnRN6z2ebWX81bpEM2W/GGbhF5j3TPu1dfgF6bGyDSW7JxDRnH/WSBzrX2vGezefUFbOfcNW+R3pLNqy+IdLZns+HHeu0uoDN2Wn+FSG/JRiZvboj0bLZSX5n6g0iHbDavviDSi7dIt7zjZRdzSyabV18Q6Utm8+oP8MY4T89ma6k/YDvePD2bDb+MZR8LxjDW07PZOK5VX4VIj7y3ZptyvRrW48Pu8FgN6xRP9yYQiPSWyROKN0vnJuVmtiYYwNtNnDzByxZNQGzHm6dns+GHsexjwRjGerrnvSUb26P687wvmY1xtfqEyHs229z6q3mLdMhmK97QLSLvke559+oL0GtzA0R6SzauIeO4nyzQudae92w2r76A7Zy75i3SW7J59QWRzvZsNvxYr90FdMZO668Q6S3ZyOTNDZGezVbqK1N/EOmQzebVF0R68Rbplne87GJuyWTz6gsifclsXv0B3hjn6dlsLfUHbMebp2ez4Zex7GPBGMZ6ejYbx7XqqxDpkffWbFOuScN62p0cHXYHBwfrx+FRN36jdawfHp30W7bPnItnvTAsOXmCp3sTCER6y+QJxZulc5NyM1sTDODtJk6e4GWLJiC2483Ts9nww1j2sWAMYz3d896Sje1R/Xnel8zGuFp9QuQ9m21u/dW8RTpksxVv6BaR90j3vHv1Bei1uQEivSUb15Bx3E8W6Fxrz3s2m1dfwHbOXfMW6S3ZvPqCSGd7Nht+rNfuAjpjp/VXiPSWbGTy5oZIz2Yr9ZWpP4h0yGbz6gsivXiLdMs7XnYxt2SyefUFkb5kNq/+AG+M8/Rstpb6A7bjzdOz2fDLWPaxYAxjPT2bjeNa9VWI9Mh7a7Yp16Jh5Z3Vg8Pjsyb09OSoO9p4p3Wkn550x4d907rAO7FzLp71wrDk5Ame7k0gEOktkycUb5bOTcrNbE0wgLebOHmCly2agNiON0/PZsMPY9nHgjGM9XTPe0s2tkf153lfMhvjavUJkfdstrn1V/MW6ZDNVryhW0TeI93z7tUXoNfmBoj0lmxcQ8ZxP1mgc60979lsXn0B2zl3zVukt2Tz6gsine3ZbPixXrsL6Iyd1l8h0luykcmbGyI9m63UV6b+INIhm82rL4j04i3SLe942cXcksnm1RdE+pLZvPoDvDHO07PZWuoP2I43T89mwy9j2ceCMYz19Gw2jmvVVyHSI++t2aZcg4b1NGhAT7qjg4Pu6GT4J/QN7cHBUa9slzkXz3phWHLyBE/3JhCI9JbJE4o3S+cm5Wa2JhjA202cPMHLFk1AbMebp2ez4Yex7GPBGMZ6uue9JRvbo/rzvC+ZjXG1+oTIezbb3PqreYt0yGYr3tAtIu+R7nn36gvQa3MDRHpLNq4h47ifLNC51p73bDavvoDtnLvmLdJbsnn1BZHO9mw2/Fiv3QV0xk7rrxDpLdnI5M0NkZ7NVuorU38Q6ZDN5tUXRHrxFumWd7zsYm7JZPPqCyJ9yWxe/QHeGOfp2Wwt9Qdsx5unZ7Phl7HsY8EYxnp6NhvHteqrEOmR99ZsU65Bwzq8g0oDavWsp8fd4bQ5XW077Lb9Juuci2e9MCw5eYKnexMIRHrL5AnFm6Vzk3IzWxMM4O0mTp7gZYsmILbjzdOz2fDDWPaxYAxjPd3z3pKN7VH9ed6XzMa4Wn1C5D2bbW791bxFOmSzFW/oFpH3SPe8e/UF6LW5ASK9JRvXkHHcTxboXGvPezabV1/Ads5d8xbpLdm8+oJIZ3s2G36s1+4COmOn9VeI9JZsZPLmhkjPZiv1lak/iHTIZvPqCyK9eIt0yztedjG3ZLJ59QWRvmQ2r/4Ab4zz9Gy2lvoDtuPN07PZ8MtY9rFgDGM9PZuN41r1VYj0yHtrtinXomHlXdbyHdXDo+Nx42q+m8q7rttrWD//+c93H/rQh7oPfvCDO3984AMfMLfrsfzjqp77q7rX9Liah673rffQvK7HLh6aW269h+YWPa7b4zff8QdDt+VzTRrWAb6fumpcD88/AryDhvWzn/1s9/DDDw//2i2PPfbY6nEVkJnsV8Wt+rw/9NBD3ZNPPjn8a7d89KMf7Z5++unhX7uFiesqIC+5rwKuM9f7KrjK+oJbNfutOqdrbtktmls0t+ySq5xbrnLNpLlld1yvhnVg/EeWlv9IsCagq+FWfd6vcvLVonK3aFGpReUuuco5XXPLbtHcorlll1zl3HKVaybNLbvjWjas43dVl/+jS5qAroZb9Xm/yslXi8rdokWlFpW75CrndM0tu0Vzi+aWXXKVc8tVrpk0t+yOa9Cw9g3pIR8BLm+X8n3Wg+5go0Mt77iudlngZ200AV0Nt+rzfpWTrxaVu0WLSi0qd8lVzumaW3aL5hbNLbvkKueWq1wzaW7ZHdegYaUHPe6b1r5JPVg/+MNL43b0/I8yrfVtvbe6hj+6dFUT0OOPP35lE9Cf/umfXtkEBJwbD1cBzznP/VXwyU9+8som34997GNXtqjkD4RcBeQl91XAdeZ6XwVXWV/w1FNPXemi8lacW3gd4/XsKrgV55Y/+7M/u9JFpeaW3XOV68VbdW7hWnPNr4JbcW65qvq6Fg1rgXdSt/nO6WXg5rgKnnnmma6/PsO/dgvn5fxXxa2a/aruNdC5d8+tOLcUbsXsmlt2j869W27luQWu6tyaW3aPzr07rlfDenLcHZs/xiqEEEIIIYQQ4qZxrRpWIYQQQgghhBC3DmpYhRBCCCGEEELsJWpYhRBCCCGEEELsJWpYhRBCCCGEEELsJWpYk5yenvSPW/MPQJF7d8n7c3G+q3iqV+e9wvOLHd5nm5x2xxd+OmuHcL8N/3fX3MrzGmhuE7viap52zW23IprXxK5Y8mlXwxqw+imdzd91PTnqDoffe109Do+6Zf5w8Ul3NPym7NXUHS9sffZVxsPhrzP3ns5+D7fftqCx0+nzPDwOF3u+C6fdybF9bjIfXdHPKq3hnujzD//aNuvfO+Z+PzL+GveS5x7utf7cR8N5N39X+eBwwQXW6AWuPIasZ/8e9t0qxsKR87q/N709rm5eA55fzW1nz/Xw0NymuW2rnM1fm48h69m/h323yq06t/Hcal47e56Hh+Y1zWvbQg2rS39RKPyzZ55/9wW4UQBMjstcnPXNdszxV0W320nw5Ki/6Zh4+1e0k5WH9cRToi+Xuxx7XYCcf30N1i+2FMmSE+8qdzn3sG1N/+/V5LB+Xq6G5Sag1XPeP69MfEdnL3qb13e5c6+f8/4e7899yLXtX3wOOFe55os952Tqjx0+lsh98flcPw/HO8h9lfMaaG7T3DZFc9t20dy2Zpdzm+Y1zWtTNK9tEzWsLtMLbt0AS90UG8ftbwD+K8rqBaYvzKPjfuI/ORlujtXOW+ZiJm7QzUl/udzTF5ye0+N+4t0oxJO+OBZ7wQkmVrwsdr376xs+ljr3NPf6hX49CfHvpa735Nxc2z7naK5b7DnvMzLRH5WFVHkMWc/+Pey+VabPp3ENFr3Xpueensfati02jq25TXPb2WOpc2tu09y2ibVtG2wcV/Oa5rWzx1LnvvXmNTWsLusb4PxCzCjMrWHcbP1Mx0cfzibCRYth47irm29aHEsWw/S40227PPeUpc7dH5n/asXzzAub+Vhy4rWPW/4r3nFZ6Azbt8f0uNZ5lnvOYf1RpsOzj7Ysfb41V5n7Kuc1MHJpbhvY5bmnLHXu/sia23qs8yz3nIPmNq3ZzlnqOZ9zfXd57ilLnbs/sua1Hus8y5xbDWvE6r8eDB/voPj7ieConw1X/5f/30+O4/+KtS3mXfBl/msdsftC7Cd1Cu7s4wZDblgVxfmrwhZZv+CMPsIz/a9zq8l4iUIsuftjG0/s6r9O994W+3hJmGuZSaA857VY6wmQiXkX5z7tr3f/GP61gudlseZpYLi26+9WLfU8b8I5OF+/mFk91nPJ6BosmfvK5jWY9/xqbtsumtsuorltCTjHrTi3zXtuNa9tF81rF7mp85oa1jkMk9z5fyErDybFbV+Swi5eWDwo9H7SW00E/T9XhbnOvf6s/ILepufied44GV/uXm4x3b+k98cfX+fy4LznLwC7h2uy0PO+epGvH3s9AS537vrkdvHFcDn4r+FLTvSbMMkfd8dnizqeg837fAe5r2ReA81tZ+fS3DaguW1ZNLeV+1xrtgXQvFZB89o2UcN6Sc6/CzJsuMXgv1hZ/yVrCU5XH6mY/JebHXJ+rW+N601Ojwv/FW1HcB/s9Lyrxc6CL+4z2WXuW+k+r6G57eZCTg/NbbtFc9vu0Lx2cyGnx02b19SwXoarLAade/fnFkIIIYQQ146rXDLq3NtHDWsIH6U5Ovu4w/TjBst+dE7n3v25I67yYz869+7Rua8GPe9LsP6Zh8PV9wv5GYgxOvcS6Nw69zk69/Y5Xf9F7P7cO/+tY517p+dWwxpQvtBNAY4vQP/vVYH2+uaH9beIzr37c8csO+n76Ny7R+e+GvS8b5v1d5rWC8pd/26fzq1z69ygc2+b9Xqxb5z6c6/+MvLx8N3O1afylvzNX5171+dWw+pCkfHnoYd/Wqy+bL5EIercVRY9d19o4UPn3h46t/+4aecGPe/+Y6lzT+fV9R/HWJ1vtZ19dO7toXOfo3Pr3Ds49+oPERl/kVrn3iJXd241rC5zimzOPhl07jpLnbs/Mv/liGJc/fEA67HUJKBz69zTx808N+h5t87LY6lz1+fM8u7I7n637xydW+feLjr3lFvr3NZ5dO7tcnXnVsMasFpg8Ff1jL/4w1vfu/horM59ztLn7mfYYMG4TCGu0Lkr6Nxb5yrPDXreKyx17vU7HrVpc72w7OdVnXuL6NwWOrfOvT2m5+ZrY/1j+NcK5tzRx5O3hc69ZnfnVsMacpW/8aRz7/7cEf2CkmZ6+Ndu0bl3j859Neh53zqrj27Vj71eWOrcW0XnNtG5F+AWPvdV/CboCp3bYLlzq2G9BOc/r8Jj2LgjdO7dn1sIIW4SzKMeS/5un85to3NvH53b5qae22Pnv3W8gc69XdSwXoa+ICnK9WPYtit0bp17V+jcOvcuucrz69w6967QuXXuXaFz69y7YofnVsMacpW/Capz69w6t869BFd5btDzrnPr3Dr3EujcOrfOfRPPrYY1oPwBIP0WakHn1rm3i859a50b9Lzr3Gt0bp17u+jcOvcanfumnVsNq8tJd/H3pSaEf/Uxi85dRefeMjp3FZ17AfS8V9G5t4zOXUXn3jI6dxWde8vcmudWw+rChYme9Dn7ZNC56+jc20XnrqNzb59bNbvOXUfn3i46dx2de7vo3HV07m2ihjWgvPWt30I9R+fWubeJzn1rnRv0vOvcBZ1b594mOrfOXdC5b9a51bCGnPYXh9+Q6i+A8eVi/RbqEujcOrfOfXPPDXredW6dW+deAp1b59a5b+K51bBegvM/3cxj2LgjdG6de1fo3Dr3LrnK8+vcOveu0Ll17l2hc+vcu2KX51bDKoQQQgghhBBiL1HDOoP1n2k+7A6P1n/GeczJQl9sXqNz69zn6NxLoHPv/tyg513nPkfnXgKdW+c+R+deAp17d+dWwxpweszntNcX5eio/18+o314vPH57OVuCp1b59a5QefeNld5btDzrnPr3KBzbxudW+fWueHmnVsNqwtP+vT3hk67Y/4CFhdjtX2pm0LnPkfn1rl17u1xleeGWzW7zn2Ozq1z69zbQ+c+R+e+qedWw+pSf9LLf2E45k84L3ZT6Nyb6Nw693bRuacsf264VbPr3FN0bp17u+jcU3RunXu7XN251bC6rP+rQe3nhNYXZ/ivCsO27aFzW+jcOvf20Lktlj036Hm30Ll17u2hc1vo3Dr39tC5LZY8txrWiJMj94lfX5wlbooendtE514AndtE514IPe8mOvcC6NwmOvcC6NwmOvcC3ILnVsM6A35fyOP05LTz98ijc9vo3NtH57bRuZdBz7uNzr19dG4bnXv76Nw2Ovf2udXOrYZVCCGEEEIIIcReooZVCCGEEEIIIcReooZVCCGEEEIIIcReooZVCCGEEEIIIcReooZVCCGEEEIIIcReooZVCCESvOOeB7ofes2vhY/3fsieXld/+v3wuPEv6a1/E+3weKm/BRjhn3/95+35Tbbzx+HhUXcS2l0f9+DoZEt/aXDbxzvn5Gh93CX40Bf+rPutTz0VPh566ivDiDE34x6DGffZJXMGf+Ryp+yTFyGE2EfUsAohRIL/4tu+t/u3v+Fvdf+W9/jGv9X9nR945TBizC3TsI4ynnYnqyb2sPMtb7vB3PbxzlmyYf1fPvD57kX3faZ70b1P1B+9/gsf++IwYowa1gr8jmDz87Il9smLEELsKWpYhRAiAQ2r2aROHmpYpxn3oQHaHos3rFaTuvm453E1rGpYhRDiRqOGVQghEmy7YaXxYUF+cnzUHZaPzxqN0OlIP+6Oh3GFTf1g8+O3LIxH72zaTUB1/EB0/k3mNqxn2Y/6/Tnu6v/359jIP+f5GXvvs26Yt493sjrnZp6zEacnfba1n/Xx+udikDaZHnebbLthnfMcwlXfY9Byn3k5V9dr2LZ+jK9rzdvZMTfu0U3cTP3zcqb1z8/RIEZehBBCrFHDKoQQCZZoWDcXs/0Oq0XuZj+xGsOituxyst6nLJ7LMc91GojzRfDqHMMBp+eHaHx0/inWOXoX3dEk14XsPZteIXp+1t7Om6XTk74Z3ThxfLy1r7N9+uznfi420IXa9m2wRMO67/cYRB6mTM8T5bR8geftwjE38DOV+/1MHP2HlJoXIYQQ56hhFUKIBIs0rKPGZ/ru1MVGb7wP+vS7oWv9fEw5hnWsaHx0/otcXIyXd6jGDcrF7Be3+c+P5W1MfLweo3k6o6KZx9kSizSs1ecQomsc3SNQjmEd6zLjh3+umPocc9mcdpPoe6tf5yDTqlmm0V0rU2wvQgghNlHDKoQQCXbesA4LX2thvNpneBdp/BHD9WPzsKvzsn26go7GR+c3ODvXxoOPd07fpLKagek29/kxvY2Jj9ezakrPj3M6fCz4sD/P2v8Nb1iv+h472ydxn7U2rIG36nWekak8H+u/kD3OYHoRQggxQg2rEEIk2M+GtfLu4Aar87Cgni6+o/HR+Q3mLsatZmC6zX1+TG9j4uP1jD4CSpNx2B0dn6x/duRWeIf1qu8x2MJ9FuU078vAW/U6z3xO8HD2ndr+OOXcc2tECCFuZdSwCiFEAhrWbf6szbxmYvxO1ngf66OUE0rTNXxfc7xvMD48/0XmLsatZmC6zX9+4uzx8Tb9Gse7qoZ1iz9r4z+H/POK7zHYwn0W5bTvS99b/TrPyLTJKt95Qz63RoQQ4lZGDasQQiR4xz0PdD/0ml8LH+xncelmome1z8ZfIF3/cZfJQnz07lTfep19/tZYtE8aMH98fP4pcxfjVjMw3RY9Pyt90zsf593wZR6P/Ycw5Q/7rHcZmpAynmP159p1w/q+z3y5+61PPRU+HnrqK8OIMdfxHoPIw5RL5xya6unhPG/edXYz9Q3qUT+uSOM/yNRT8SKEEOIcNaxCCHEFXHqRvaLfdvZTK+uPq570x9ncZ/TzGsM+qNPzleNPF+G18Wvi829y8Zw2VjMw3Tbn+Rn/tEjvb6MRso/Hz6Vs5tlw2jcS58fqG4xVQztuvmDdrFziHbYdcj3vMWi7z+Kcm8c/b4yh5u3iMcfUM/XNa3+uzXtpHKPuRQghxBo1rEIIIW45ogZECCGEEPuBGlYhhBC3HGpYhRBCiOuBGlYhhBC3HGpYhRBCiOuBGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHuJGlYhhBBCCCGEEHvJqmEVQgghhBBCCCH2jz/35/7/oykXwNOtLfwAAAAASUVORK5CYII=)
Source: FIIG Securities
How IAB returns and pricing are calculated
Yields: Real and nominal yields
An IAB has a known original
purchase price, a known base payment (it’s part of the bond’s initial
announcement), and a known number of payments. With this information, we can
calculate the internal rate of return if the inflation rate is assumed to be
zero. This internal rate of return is called the “real yield” since it is the
return before inflation is considered.
The nominal yield is the sum of
the real yield and whatever CPI turns out to be. If we are attempting to
predict the yield in advance, you have the following relationship:
IAB nominal yield = real yield + CPI assumption
To further illustrate this,
Figure 4 shows a selection of IAB bonds along with their real and nominal
yields, assuming a 2.50% inflation assumption.
Figure 4:
![](data:image/png;base64,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)
Source: FIIG Securities
While inflation at times will
spike, resulting in a better return via a higher cashflow, the inflation
assumption used should be an average over the life of the bond. For
illustrative purposes, FIIG typically uses 2.50%, which is the middle of the
Reserve Bank of Australia’s (RBA) target range. Another indication of forward-looking inflation is the breakeven rate, which is the difference between a fixed
rate and inflation-linked bond yields at similar tenors. At the time of writing,
the 10-year break-even inflation rate is 2.53%.
Figure 5 below shows the
domestic quarterly year-on-year (YoY) inflation since 1993. Although currently inflation
is very high, when you examine the period since the RBA began inflation
targeting, you’ll note the average is 2.56% (indicated by the dotted line),
which is close to the middle of the RBA’s target range.
Figure 5:
![](data:image/png;base64,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)
Source: FIIG Securities, ABS
Capital Price
Since an IAB pays back the
principal slowly over time, the bond’s capital price will also drop slowly over
time. Similar to most other bonds, IABs are issued at $100. However, in an IAB the
price slightly decreases following each quarterly payment to reflect the
principal that has been repaid.
A similar, but slightly
different, concept is the bond factor. An IAB’s bond factor shows the remaining
proportion of the original principal which still exists at this payment. This
begins at 1 and drops slowly to zero.
The key difference is that the
Capital price is measured in nominal terms and so can rise with inflation. The
bond factor is in real terms and so does not reflect inflation.
The bond factor will always drop
consistently, while the Capital price can move oddly if inflation proves
unexpectedly high.
The Capital price of the bond
can also change if the real interest rate changes. This means the Capital
price of the bond can deviate from the remaining principal in the bond. This is
the same as the way a fixed rate bond price can deviate from 100 over the
course of the bond.
The fact that the bond price can
deviate from the remaining principal suggests that we need a better definition
of “par value” for IABs. For a fixed rate bond that is sold at 100 and matures
at 100 the par value is always 100. For an IAB that slowly amortises to zero,
the par value must also slowly drop to zero.
The formula for the par value is
the value that the bond would trade at if the yield were the same as at issuance
but including the effect of subsequent inflation. Inflation is measured as the
ratio of the highest CPI since the bond launch to the original CPI. This ratio
is known as the indexation value.
Mathematically that is:
(Bond factor x indexation value) x 100 = par value
Recapping, we have the bond
factor which represents only the fall in principal and drops from 1 to zero. We
have the par value, which represents the drop in principal and the rise in CPI
but assumes no change in yield. The par value drops from 100 to zero. Finally,
we have the capital price, which represents the actual trading price of the
bond, which also drops from 100 to zero but might differ from the par value.
For illustrative purposes, we
will calculate the par value for the Royal Women’s Hospital IAB, which is
currently trading at a clean price of $73.582. The bond’s current indexation
value is 1.668781, and its current bond factor is 0.43535.
(0.43535 x
1.668781) x 100 = RWH IAB par value
(0.7265038)
x 100 = $72.650
From this, we can see that the current
trading price of $73.582 is at a small premium to its indicative par value of
$72.650.
Solid portfolio holding
While IABs offer protection
against rising inflation, they are also a core holding in a balanced portfolio given
their defensive nature and strong credit rating.
These bonds were typically
issued to finance key infrastructure projects, including schools, hospitals,
convention centres and law courts. The IAB approach makes the most sense when the construction
stage has been completed and is all in the less-risky operational phase where
cash flows are known and generally rising with inflation – at least in general
terms.
The projects receive fixed
payments that are not contingent on the amount of patronage/usage or
competition risk, but rather the quality and availability of the facilities
being managed. This improves the credit profile, reducing seasonal/cyclical
exposures.
Generally, these types of bonds
have an investment grade credit rating, and the revenue stream is typically
from the respective state or state department, which is also reflected in the
strong rating.
While some IAB bonds have a
longer tenor, for example with maturity dates in 2033 and 2035, they have less
duration risk compared to a fixed rate bond of the same tenor. This is because IAB
bonds repay the principal over the life of the bond, rather than a lump sum repaid
at maturity. This also reduces the credit risk, with a smaller amount remaining
with the issuer until maturity.
Conclusion
While IAB bonds are sometimes
perceived as being complex for their unique features, they are not so
complicated once you know how to think about them. IABs pay a quarterly payment
that has its purchasing power preserved through indexation to inflation.
Because the cash flow is indexed to inflation, the yield includes an inflation
assumption. The par value needs to be calculated, but works in a similar way to
a mortgage, with each quarterly payment having both an interest and a principal
component.
We consider IABs to be a core
portfolio holding for their non-cyclical nature, strong credit rating, and
infrastructure exposure.