The microstructures of the polished surfaces of composites A, B, C, and D are shown in Fig. 1(a-d), respectively. From the figure, we can easily distinguish the zirconia grain (light colored) and the alumina grain (grey colored) due to the atomic number difference. The zirconia particles are well distributed in alumina matrix which could inhibit abnormal grain growth of alumina grains. In addition, based on the microstructure observation in higher magnification factors shown in Fig. 2(a), it is found that some flake-like grains exist in Zr4+/La3+ system, and the EDS characterization of such a grain indicates that is composed the element of O, Al and La. Meanwhile, EDS of the matrix grain indicates that the grain is composed of the element of O and Al (Fig. 2(b)). In order to clarify the phase of the flake-like grains, an XRD test was conducted and shown in Fig. 2(c). The XRD patterns of all sample show that Al2O3 and t-ZrO2 are the major phase, and m-ZrO2 minor phase, respectively. Moreover, different from the other three sample, a new phase LaAl11O18 occurs in sample A, which corresponds to the flake-like grain in Fig. 2(a). The generation of the LaAl11O18 phase could be explained as follows [19], which could also explain the high intensity of m-ZrO2 in sample A.
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CGGk5lxoaLiaroL/aPE2rvLOoexf9S35TuJJfS/+AoZfyJvaWMv37YcLD2FYeQfsO03hw1p9x/3BjrjPVxG3+bHmmpN6CafA7sQ/QbPgFrS3lqjug6OslykyGymxRlj0JEroedIhGJS9IR8yJ50V/sX/zP9yr2j5iWPqIdhVcGTxl/omiGTpci7CJhxKX0P2cUgGpW/Eos/a/0P9+r6Cal/0lnkT6iHYVXBm+pD8P4IxOeVMSmHchcBvIdXCuhV+XKGJ/2cKTwqAjrIrWZAciiP3uIma3Y302ws7elO1BCtXCwlAegRXbxP/Rt/FPTlP5Xxh/cnuwOFftOGf/L/S9PcDsbUIlvMcB2Rh5J/x3jr67w+LKmoteRkqqjhFKHTK2Z7xxNpK7yTXkNCE3WkZKqo4p+OFmxf3rYU5ucN7lK8b9kgSbbNCA0WUdKqo4q/a/0vzL+yE8G7Vrl/pcnh01DRRp96lMjQTcQa7KOlFQdNV/jDyY8HRDDaX2DNEta7PLrt1myUkTDTwOpiV6a6F1e1psUGVNDsXJ+k7yiv9i/+F+tV/lEU3/xmalf5/4l2Za0ONGxx/ppNqhL/yv9r/S/Wq/yiab+4jNTv0odTXMtaXGiK/2vyZ7zMP50k2VcmljerKKoGGz+0mJXYP5NrbQ8s6cWICTJYUZ8a0tAIXS5llf001DZbmbSYn/xGJ39Klj8z5xD7VH6X90e7ERuhCnjj42xMsLQZ5x1LK+Mv2KXZBlzqTL+0mEQzCCEMsycj9L40y295iB1qFdFGx8ZAJIjsIaWEiR/7VnIVIrTtJ8PCd46GdnMoSSj6M+2NCsDAzNmy9JoMSVRsX+2WbaS4jRd/I8+o0HsUvqfmaOMP2X8dR2j3H/yWGp3GWAwjOaRleaKKYk+WvcfnMOjmxa11X21XEXQKewGwtUj8jDouOlNFGWpjTKdUCczGXvEFv3Z6hmitZJli/3N4+TpiTlQ8T92oeQlAlv3VE/SPPMqi2ssSCS8g4r/lf6XPKuMP2X8kbs1nkDIYBHHFYmSl3wkxp9uLH8e8jLkuru79aJyrn4K5uGSNhEcUI4sydcfE44eIFNZa4aK/mzBbAvgMjqCzp7F/moTmMSZCbDaqPgfe6jzF4BMmX08lH3OT32K/3nHUh9z9iz9T80Dk5T+x76mwfpXGX9oD9dfADJl9vHQBzX+NJ/Do20Ur1ocSRhosaPzKNtQJDif4ei7DjoBBlrshHhU0U9XUReSDuZHHmezroHOsgZa7AR4VLF/sX/xv9L/ZEzwA4MbL7oOOgEGWuyEeFQZf8r4M6fxJ31aIk286D2SUNcxvD4+QKZOU4VESEEt91Rd65KbLSUIzt9sjThKj2tjJNVg+RLzUvTLLDfapdifbgJjFP9L/SW6Rul/4hpqDduFUcYfGKWMv9pXxD8awHi/SljrTBLzUu4/H8f7z1xWeKTdsVdHZ43JOTxA32jsWJau5dUSIqEZ4wVHGERFf7G/3ciaPKTRiXzawzJzN8dUKbXsJsHF/8QCMFLpf6X/lf5XHzvScNE4iPi0h8v4A5PVbVgzTzJoAwCiBTn+5BUep4cFkfZhjDKqswuWGOQ5GPmWkphpQ9TqpwnOmzVwEDE4olIOAMsCW9FP25lBCDoYWZaSmGlDkC0FTRT7m3GK/5X+Z76QOokAgrUsdJsy/nDsMIMQdDCyLCUx04YgWwqaKOOPGaeMP/+O8UcnPNYG0Tl174chY6zPVNS5+Z6vZYNHXBlenvzbAEdjfi+Dh+BJFAkb6Ip+msaMEuNif3EhdR34jZnHvKj4n/Wm1K28jcR4YiuzXel/yVDOl2inMv6YEWiNMv7QClhm0IjXcv9LbiHm4OWjMv7iOGzzaLYkiy4uTogZiiHWh/h8EyjLT7QU5w8+8VKESCl5ZTB+r00pPEZp87Xot+ml2c9sJj+viv2zqxT/y71MnEQ9hVcG8x/f28yXLFZKfy39r/Q/9Rzzn+QrZfwv978P8f1HXkuXoSzOYDnwmRPrIoMNjX7A00Veo/OzOz11MS9ckkskpB6ROwqXtJL0oj8auNjf/Kr4X+o90TcsKv2PPmJ+UsafPGaU8Zde4e4rkooXcRj1Gl7L/cfZ6RNy/+2mzY9pB+8uMvtQDPwhjiguDVReD0pTFSHVS8aRS1IwpEiQCzBZAChiHimL/mJ/cRjnb9lxko9l9xHihFcg48gqqeJ/pf/ROcr4oz0idyAxivY29JQy/pbxVwZM9Qh2GTdwSJKX7D55rE2ZOuJK8sM6/sYVHhYPf/hv1dDYX7VaulrFXxTk0ZAmh4aIeUJhZCIKCVvuinjVwATzin61h9nh42V/dpbp02eGjo4OaWu6S2l/WuGT5//8bTl9+vQwu2P2J7L+cYgs/k/3/wT6f2l/afh/uf/ra+m863DMlYAEZzCcfAC0CY4SeMJMp7etJECkvPDCC2HM009HsRze2sJqq64aVl55ZeRrOnF4sTTBAtDPQnixHjb9jz36WHjqqSfDlDenhBVWXCFssMEGYUXE/yr9C7r+7777brj66qvDDjvsEFaFrX2dPWz1N/0PPfgQ2mpMOPzww9Vq82j/H/73D8K0qW+HffbZJ6yyyio0vQTTefTRR4drrr02zMANjuHWW38Xdt5l15rL1RLzoP/Rxx4NT41hG74VVljB2nDFmn4mrCySgVRtyl7LRGIe9Gu5awJURYPOOkXX9D/11Jgw9pmx4fkX2kO/fv3RdwaHLbfcKnTv3l2lx3L62t11113hvffekzJQZ/du3cL222+H7ovP5gmWl67pn5/+/8Mf/jBMmzZNfGFl+ILptPrTF6699hpMdmagHG3iC7vsvIsOL1I+UH6A9p8yZUq4556/hn+89FLo2aNXWGutNcPGG20cevXuJdrFlh+gflXywdk/VsIs2WT/op8WKPb/V49/HRhMfvyjH4WJEyeGb33r1DT+vvzyy+Huv9wd2ie0h0GDBoXNN9sU9+BBMh7Y+HPOOWfj/rxiOOzQQ9F2bkRpMf6xdS3YmMN0gqsKRek0WJ7FSlhPeeaOKK2j+uUvflktseQS0NOGYrVVn/rUYtWoUb/2xBHuXFouW52mnvIis/5UrUScgOq2W2+rhg4dKmXr3r1btRjKxnL26NGjOuWUU6r33pvVULbMy4x6at71e445Sct5dY31lEq7+eabq0GDVpJ6/OpXN7ZgbeaaOPGN6qijjqzaurVV66wztF4sSRmPxUriUzeNGgWd4k/V9ddfl9o/GQnEs2d3VHBybi+Q8r326mtOl5fm0HPRf9tt2oZw/woTgGqxxdiGgHv0RBueXL03872GwnampzM82S3P4gaRmnTXrvmfYwBYlz158uTqnHPOrdZcc02pD23WDe1D/2T91lxzreqxv/2tLiKmZs+eVW2z7XZCJ20C3u223V7s36gnC6jrz3hClmex5tZTmYP928p5/XXXNxArl/jCqd+KZWyrXnvt1SygCTJNFjeIbEGvlLgaS4ynTn2r+tKXvlgttNDConvRRRdFf+8p8JB1hlSjRz/aJK1JSKQw0c0M77/96zJNk8WaW095jqJfbYOrGcnihPD2IpwIGjNcXp2mnvJsxf5qG1zNSIhfeP6Fatttt6mGDx9WvfHGpGSwH/3ox9Uii6A/xvsCxyz88KjOOuvbkUaFvPHGxGrTTTer9ttvv2rSpMlJdBKUgLnbH6s4zUHVWIlj2XNSGZD2KA+bxHPOOYdzMBlUbrnllmb6VkxgVnTOFCgnu6zfyuElnn322XKDx9JVddq3TqvefvttIbvzzjurfv36SXkvufTSVApmLkj9ogyX/Q84oDriP46wZC3WquYKz0n/2HFjq1122SXeQHRC8b//+781eb7+zJg1a1Z1+RVXVIsN0EkCHW2jjTZKPF3V/+706dXKq6ycdF8Bma1DR/Xd735X6LDCJyQt6xSZ56Zf2pATALbh6dqG5NE27C96LpU2tNI0SuykTbuoX8ggUqUqk4dNa467rv+O229P9jxg//2rv2Fy8893362uHXmNTOw4OKyxxhrV7FmzW+qfBbzc1EHHNu3AZNNK6ssosEfkws5X/xNfQNvahKfuC6rI1H334ugLg9UXnGoB69SdtBWITB6ZPNwob8KE9mq11VYTu/KHzv0P3C/077z9TrU/bEz/X2655ap33tGxYEHrt9L5MgrsEa7QRX+9RVvaCkhvPg87U0ZQcz2NwB7hmBqpW9IC6dk97ER94vVPmzqtGjJk7WrHHXespgK2cOddd1Xd2rrJmLb11ltLPn+42nzhissvN1Kx87vv/LPaZpttqjXXWrPCkwwxvre5hxNjAjSX1xYTnjmzJhm+uRNLBGJ0woknymDSt+8i1YwZM4VVshJ9lpahOWZmsi7o95I6kLjmmmvSgHzyKSc5WQqecIKWl6sFnBTMOTjpCYxAPRIx1M/AiDch3rgGDBgguPolEtaRTakO/JrnalSvXr2qgcsOrLbccsvkLLf+7lah95JM/yOjR1cbrL9B1Q0rW9tttx1W3j4lbTRs2LCow3M1qXWIjurcc88V3oXjr2YsPWp+FOElHXjg54T2oIMPqY8UTmKNuQmvCG1DeehRnXzyyQ0sHdUJJ5wgetiG782KqzygsvpLmXzBmvTMMdNRO7oERqAeCU9X9d9++++l/HjEWr0TJ+Om9Itf/KLk8QY99pmnDe3s2SETeObz72z84LDQVf1OmLF2EqdKCwt9gYPVwgvrCgp/7DiKmv0/R1+A/x908MEtZHuuFtkJ5egSGAEX8QfN+uuvJ/ZYYoklqhf/8VKtim+88UbVp08fyb/44ksgPQlLmloDji6BTnGDpA/a/lrGol/sUDeDojwuwmqzxuscMx2xo0tgBOrRJ1Y/9udVn/3sZ/EDrE81efKbagdeYZ8tt9qy2mqrrarXX39d8Lzce+99FecKHLsWX2LxhDegvb1dxhcd96ORmZnACNQjYbf+1zDhSZwqA0lbJDKlPlZqf1XdxrPbrrui8G3VDjvt6NkinHXlzIwTCBeTlWkypNT+WtefRlmwTHt7mkwwaMzNt9gcj610ApalVdVNN+XHM8+1t4uwBaXf66FM3hyaJzxaF9IKhEtn+okfPmJEdeqp/yUz3nHjx6elwVtv0wmPr7/pv+mmm6r1N1i/eujBBwR16CGHiIMNHzHctAp+bvpfevnlapG+fTHR2qLaa6/PSjufcOIJUu5UZvMySBw0eJDouTzN3HNdRWHWmqGG+vMXAm2mbbhFNfM9TmhUjkkbhfoxn/Ztf+65LLoJMg6fkXEC4ZLq4skirNT+qqVJPK7+zezKV8d3yABw4403Vn9//HERlmSB8MorfyJ1Y/3+8Mc/1Gpu0h56+OFU/3vvuacuvpYyDo/MOIFw8fo9JWGl7qheeuklDFT9ZBDbU3whVCdi4tnK/8hHX2D7ZF8glmH+9HtOSkhlhv25GsjJFR/b3npr7BdkcLrWWw8TItAcfvhhkpNyISzJSjkZ0NL6q0pNPPPR/iZdpBb9xf7OT803LPaep/CHy/9++IMfYCxqqw457FArssRTp02tFsc2kvb29hqepT///PPTGDehfUJT+/NHPreePPa3x6JlvBXmXv9u3BiUA4chTcmOAST921jM8eRCAwpieWVgbDwPPPggUlXYbMSmzJJg/BWGPG4da9Q/buz4cNZZZ4VDDzo4HHX0UeGKy68Iz0+YEL785S+H3/3ud+DIYW760xthYBl51dVhypS3QsCL+COvHomNnz2b9ONRQCp7+7PPSWWsLqZ1fvXX+CFEZyfN9bcKzs3+LNcD990fvv3ts0OfPr1D717YdAm5tGoqMzaANIY999orcLP2xpsMB2UVevSMmzWlYqCPFZyb/pNPOin88+13wiUXXxJ69eoBNZVs/vbtb/Z/5dVXw/PtE0DTFkZgUxpDZ+0/J/0jR7INp0As2hDt2bM79VJj9r9FFlqI4mXG81x7u8D+Eqs3X/pFrhM2J/+77PuXhR132im88847joMl1dBZ/ZdcYsmw7777hqFD1mnyv3/+M8sauMxA3dXTUP+HHnhAFPTEJtyNNt64ppuJVvpnz54drrvuuvCVrxwbDjzgcwGrZOGh+x8IN908Khx15FEBq4lJjvETYfU/+eSTUM+3w8XfvTj06dVTaN98awoImv3vlddeDRjIpMVGbDqiqf9bAefmf14/a2WavP+9N2tWwKM1qfThhx4W8OjXxNfafyH6DCr23HPtEifZEJb6ktQqZUvK6k9sK/2t6m/266z9rYALov5Fv7VKbDxExf5qiw/a/zCTCdgaIhY/+qijUwPQ/r179Q53/fmvYaVBKzX1f+w5FNrueMniU4sv1tT/eP/C05dw5BFHho5Z9oZn1/tfNxuTWEAJ6GkCma8gEXME4A01BaNJ3V1zSDF23LgwadIkQYyQCY/yGT/1cjDx+i+88MKwzjprhfMuOD/MnPVeeOGFF8Pxxx0fBg1eOfwAb39MemMSOLqmP5URAKt26ffU+FttsYW8KdZK/9SpU0nNgoVFByyqIpBMGiUrpYROiZIhJOkoNNthpfwkAAvfm/H1F7L5tr+WgaLnqp/qQU77y0FMgOel/R/EW114tBQOOewQuan26cNJRlt48803pQqN+h/AzZO4hRdeKKw3dKjQmP6u1p9e+b1Lvyfl5ptK2DskNhRh0G3hLWlDpKBw0UX7G1oRuJr/zKt+EQSZxi/ppDYBRgY/Hhr4xtTOO++Mt5beBl6tYvzzo//GG26U+mPjclh7yNot63/f/fdLGdZfb/3Qu3dvgfXSWv8rL78Uhq47NBxyyCHhL3/5CybPPcMvbvilTEz33nvfcNedd4U2mVhqFaz8IhPVfkB84Vrh3xgTrN59+kjWm5PVF1Q3r6r/gfvuE9TCiywc1l93vQXo/42aQrjhhhvCK6+8goy2cNjhhwmBld/bH784JQ8bmUG6YMa/XBqDWtu/q/4vUiDCyi/p5HYJMDJT6uKin8Yw+/n2J35exj/SS0hmT4Cg1dKRJkWfLPvffvvtYezYsXjjasWw1ZZbwgq5/tiGEYYOHYK2aL7/TZvGH0ohDF1vXXkzlWzJngA22XjDsOSSS4VHH300jMIPMg1dt79+Swtc/NVszAaJIiTk1wbVSoblktqKwjjDpH8w/tLEUnLYdARXE4yPcaalFIY/3PGHcBJWDfovOiCMfvgRGaxuv+P2sN9++yIX9Ji1bLHlFoBNDrm8nAxreXP2bXgNety48cL7uYMOyhmJX+v/KlYiRAou2BiqMNTNT/2hJBdPQCt3FIj6xKFVSN+//XG2TQyN9Se6M/tbfbuqn5PHr3712MBfxeefe65oxE570cDVF9EkQgWU/Afu15vcJpsMC3gzJmeohYVmbvpvxereuPHjhONznztQeLKBqVCVvvoqb3Aa1lh9TQM7rb8RzE2/yJcmtHYkp69ohmn/7bbdNpx/3vnhnnvvCTvtuEN4k6uLEsifaSNyrv0Pb96Fv+J1as4Qvo/VIw1ejsIPPKATnk03xUqaZYtGK3fWPwsrN9hHE8bg9fevHPOVgA3S4Sqsfv7pD39M8vHIslP/xwJyOE58oU847zzvC0FW4lrpvz+OC5tgctS9B1+v17Cg7U+pl16CHzmo7nIDlw1bbb2NKpLxwwyj8auvvCp57PNkMEtJLhILvP8nw1g52Kymteg3SxT7izt+JP3vJz/5ifSpVVdbVeLO7j+SyWpG/38I9352jz322EN7SUP/a2vrjskSVr8Rbv3tbyXWgc76EjRlMOaTQr0qHjyY8ACMml2fAWkBMDe2rBQrhTw/AJGigcN/+6W52mqrhwGLDVARxqcpyFaeV7HMfejhh8os++yzvx3WXhu/XiU3hPXWX0/gZZZZJgzGSo8Ek8OdAAwS1/ULHtkk/eOfMIAD7tmjBx4X7AdM5Iv6hRaXhx56SMCBAweGvn37RipIEPJ5q78IivpZChFh5Y6Srf6mX+NENE/6dZiMg2WuXmyTuegnvfFEDpZFUfX6X4vzdB7Eo8oTv3FiGDhweSlyv779hXYyzjMSLpOFmLW5jxMewPnRZibItRVRuGSMUqn+P/3pTpHdA6sN+0kbkjTKce3/8EMPiyBpw359u1Z/4bBLa/2swLz4P6VhT5P4Gx/t7rDD9mHyG5Ojknmr//MvPB/+8z+/DN62cMbpZ4Qdtt9B5TTU/7XXJ4b259olb8SIEWJzrU3r9j/rzLNkVWfQ4EHhwosuDN1wZg/tzxs/NvKKnM0230zktKr/tddcp75wwjfCcsstL7buj/OCGGS1D9Vs1H8fHsMyyISMNpWUv2SMWglpAebN/lzpe2S0Dp777b+fnEeUlalkCh7/7LNh8ptoF6B0wrNg9EuNIFOltba/2NRXXeCi30yirTR/7V/sDwv8G/3vySeflCZYdtmBiLvm/zNmzAg/+tF/h2WXXTaciLGzs/ZfCis8zLzjjvjDzI3/kqGMLevfQ4ccu2rRjF5KTGERgbeA1YpMA0xZNQbJwgrP/WDD6s5wDLwUEFlFprtQ80nfPCm8/trrYb111w1Huud9JJvQ/gLY28Lmm2+OqOv6rUZkeWbsONG/1tprhSUWX9xpZ8lUJq93Y0mfQQc+AV0lWYx50//z638Rjj32WKl+q/pzRWTppZbAjVRLwdsN12lozpEjr8Geg527rl/aQNeMWEozuBa5c/vLES9gsJs5XVNEiQyKQSoi3vnnNFmF42TixK+fmLL6yaMA/qrPj7TMrrNmvhceeWS0FGf4psNNaoqNLloWZmqtn8ujnLpzMowd/CIvFc0V+M+pDVcXHXOrf1f1c//HI6MxmaJSBtosmQZlhiK8eyem0rqwJt3kED6SPzr60fCZPT4T7ouPdIhjmJv+t6ZMC7t95jNyYNf/+4/Dw2mnnaaMXn8sEld3qJthBFZVGTqr/7O40eNNKnatcNGFF6VHUSz166+9Fg8GDDgIjMvRGrz/v43HdN/E3h36wgnf+IaRhH79dcJjvuD14625MPoRTEIQZEKGeG71d0aep/43duwzkE3pVdhyq62lvZBsCnff/WfNQ86asqrb2v/I6Otfa/8Gudb+rJ2vfyv9H1T9TW7RLw3XafubnbTNSFbav+bOeZCbJ//HURBiyeUHLscG6JL9L//+98OECc+HUaNGYcGhH7sc+MAbC2T9b6mlMeFBg72M1Xzu0+NChg9z6n89bAAXmVl25tceAwUYOjA6Rt1SiATzbim8inkXGzX//vfHUaYKv+SwMRHS4opVlqulkgrde8+9pAhHf/7o0ENOkVUyPle94w+/F91bYMJTc0aomoZfcU/jNOc3cHrjoEGDsK9hiDBqKfTKcsnNEjmDBw9Wwbw6/Uw++cST4YUXXwTUFvbYfXeiNKD+L774j/Ds+PEyGVkXe1DweivJ+F9DQ/0VrwQ4NE4nMYmY1aHyGCo9AVcsC12yr0cKF2m6aH8vkxOnVDrolao6/ZId6191aAaPh3RcAivCCKtw7rnnh5dffgWnKa8cjvvacSKYXKNHj5YJ05S4h8dL+tvfHpNPCFCW/qoXqcn+s2d1SBvSxv0X7Rc23HDDtLoglLH+Y595RnjSKh+UqB5QRfuzDV9EGxK/++57qCIkWAMcPCd+MHnypMA9YWtg5VEIfb29TOUGTa6/7LoSRwYORmYWdZntbUMc7U9fZfB+L5/UECwuUeyc+h835+27397wzSfCZ7FZ73/+R5eJRYQva6z/A3H/zjJLL43+MFg1gU5UaXFMe+C+KpZnicWXCPvug8fGsTwku/336HNA4NX+MAR76iRAh+//511wXngFp6SuitOUj8djLa1umzxbp4w3ZbUPgNP/2GPOF+xFhhb2fw2PlmfMnCnP/739vX7KfeLxx+VE8YW4GoW0jU7UPw4/cjj+EB48eFAsHxIWYn1v/e1tgll6qWXCJsM2EXojYfz4E3+HjtUCdTTqFz3Yq/gcJo8LcX8a9k1xHxDxSSESreyvSJC1qL+w28X5Xyv9Qhbb39e/6NdWYGMU+8MbojnMrT5I/3sd/ffdd6eLqoF4nNwV+z/15FPhTLysdOqppwa8yp6K2ar/L7nkkure8PuJ+HHGH11s5y75v73OhkE7vuZFIL1YSXRzMCbEBiYi8P75z39mHeUPg1zKagVMenNyouVhRBKi/j/+8Y8pD58/SOz4FIQcttcTJ6WujkPYeMAa9X16p52qmTNmRBlaNr5+bieqHnfccUmGAVZ+vAUmMgbgMD5MpKRe2MSJE4jXqXr27ImTHjfFqZCLVH16967w5lhNh8mSGGXXuIVtIiFJWF6+Ym36mZXgWP9I3hwZIWID8SkPDp0il6cQM8PymgVkzH8ceYTwDB8+PNO30P/cs89V2ARbLTdwYLXH7ntUeMYq8e6IMUkRGfiMAc4Ymq3Co/5LL70EeW2VHTiYNVfV6aefXi2O07h5Zs72229f9cSZQng0Uv0NPuPLjk8lyKuItNnxbEPLjDpM5jGpDQegDacJ2ds4jmCXXXaVNsTqULXSSitJeXbffXecDTUjiaIME/t+/V/KE8umB9u14SyY9auJr0+0oqY46Wyh//jjjxe78oyl6e9OTzypoA313xYHc9FGe+6551zb/6tf/arQbrXN1kmulQU/LjhTqHbFsRKtgvkCz39i+4svIN6TvrDBBiKXh4rNtr4QhWBPjeStvPIqSazpJOItnIZ8Kk5hXnihhaozzjoz0TQCGBxFJ+v61Jgx9eyo8/TTThddpMHbmXWamMKx9lX3nj2Ejq+vp7JAxpNjso4xTTqq6vnnn6+GDxuOk717yIFo9O9FcAbRJRdfrNIb2qZlAYBMOj3cov/V+I2plQ6zeau8mhBNmCimElz0Z1u0sFnKbGXjYv+qvb099b2LLrqolQUTjj7Hs3gGDRpU7b3P3nqSxVz8Dy+vJPkv/uMfSZYAc7E/f53WQnJ6YploQkRUDZ9FEI0NjPwxIhME/ErNmRE6/LDDKuxDkBQ2K6fCYym9pu7A/Q9AXpscNsSbnhXmedzcOZAdh0HbwoEHHohBuq361a/5+YpcuJkzZ+oJtaA/77zzjNyTVNhvUPXv318mDCfZYXag/AEmNt3auld4DCF8PAafB/31x7H0eoJtFmeQas76DV+L0Sgsf/M5PLViaaImykmv4XF8N22ia37VbXYOT01pQyLyH3FEnvCQoiaWiYjgAVIs829/+1tFOUKeGyOTLeh/c8qUzARI2gV8Bx98EFIugB+PNeQEXLy6LRmj0HbUQR4JUX9jG4pqp5+00oZoF/LjNWnlx5Wdibivf/1rCceJMXG///3vE86Amtio3/LMGK30G43y6/U73/mO6Nlkk01w8FY+Ul1olcTYUmxo7JUSm2LjNY5TN14n3QgjJ/sZz0Vivc4/3/l5zMdKW8XDDHG0g2A23wyTGtB+6YtfSroJcAJBPP/OPRsHF9b0aGIv5ws1ZiRuiL7A/o9HtrVs84VDeOBgTS76Gs7swMoUDhzj52igGwcZCo2jm4gj5r/whS9IPRdZeBGxz7hx42o6lLwDk+nTRA4n6S0DCL/1Lf3EBX/ImI0n4iBC6sAevqovdHD8yTpMeiXjF30eb4uIeE6e18Okln3wxReeb6myhnT18vgamokmRETV8FmCojvJzGQNcnNGjZOJJkTRLyap2aXRfp1kZrIGu+aMGicTTYgPv/1xfIbc/9mPT8Thwy1DrBd/yGG7ivzgxbcWm6vbov6n/Nd/ad/GvRhHatTEK3mNqZavTz/iCIdIVpC4FCwBPVoQkrAFYqCYlkuk0/ERSP4wDOHee+6TpwwbDxsWP3RIBuSC/JlnnpYPSfJDjwwvv/KyxGTk83+u4FITVinCL2+8QfTjoDy83dM9Sg+yqYmvpZ13/nnKixx8p0MUTHrjDcRSOGCxUblnz4Bf9UL3GvYJUXpjOOaYYwJfTe2F13i/irNIrP77HbB/+L+/PxYfxVRhyaWWxubM5eQRBt8+y7IoU/9Es9PvdbH+pGsuQZZk9Rc+CpMlbePTeslVFQkZuTv41WlVAFjRjXpMf2SSyB6zdMRStdLPTd8333QTlvyHhd12262p/XE6pnJDwZuTJqMcWk7qf3rMGNGzET7Q2Kh/5MiR4e6778br6gsLPw5SFFrc2CQWRSgQ23DQSisKDhOYJv2s/zHHfDlMfesteRX72K98VWipn3u2uBn97LPPSfrXx0diGdATJBY4Qq3qr1ld93/WH6uc2ONyMvbAbBawUonHQ59K+pNSB1hJqP/vj/89fB4f2cQEJvz2d7cEnIYNyqz/cHzkddRNowSnIiq8YfVYwMnMkhwxPJ51pJlyvRD7dF7EMQ/rrKOPffnRPob+8dV96udHR79w9Oelb7MFN8Yjnkb/Y13w3baAk7nhC7tSBAK59a8fyiwQLpPiI04hwYUfQ2XYcKONJPaXJ556MvzmllvCTb9GvaBc3tpgIWgQCZW83k/8hAkTwhFHHiFuJnROv3ge7L/KKng7BLRY8cXjTH3t3PvfE3hMyGMwGI468siwmNg4hLenThP9+JUasPop+q2v6+gm2eGJJ58ISy+7tHxwmHXvhfOHtt1ma4BVePVVjjNqEQHixev3eMJWywXlf16m6Sr6W1lFrVPsr3ZYEP63UJ+F8Wh3gPS/iRivLTT6Hz92vedee4ZZGHduwpjC+6/Xz7dSZ8zUR2PsIdb/9KiJEFYctGJ60UJ7UKRw9x/TzVj0y5QKE6LOHmJxrlTLk8mTzqASqEmZSWETUfpGE14zF27JwIXf+dlqy63oW9XVI0cKGgcNShqDXIUbk+Cww1tWP/h9G9Iecig+R4Bwyin/Vf30Jz8F1Kyf3+rgCYzPjB0rtPnSUR1xxJG0RIVBUFZmyG1F/t6llyX9P/vZzzJbhJS2Qz41ccEFFwrt+RfoL2iR4YU1cRNhmnIml/pZL1nhifw1G2dS4a7lJaVRcuS///77Uz2uwXeXcmjWH1mE5NM77Sx8g1cZnFkcxO84rbLqKnQhOelXq6My5YrLVT+7SnWD5g94DOlDX34cDm78m1t+Ix9++yxO4mUbqQRQEsAf6/jjH/9Y2umCCy5IIjSbbciVqLZqFTwO4UcyGUQGLn6J82dX/Uzy8kWoUpKPRgfgERpPqZ45E48/VYHoT0QO0GwnQ0BNJ9BlG+sll1yCD+Zti89D5O/HWB7JE0tM+DbG1+7Fnvx1NObpp/E3psJeNXxX6//k+2/0ZcoXGZHfvlWGV73xeQldMVN9HdXvb7tdThq2R0lk4Wcd6IO77rKbFGZWx6yKn65YfoXlBc88vMEk+vfYcw9ZQcNz+WpV9CHqv/LKK2v6rW5XXX0VfEVmKRUfSbuaYsW3r+Td/JvfVG9g1WqvvfbCJzKwQoMCWf3xRp/ot9VYrR6vMQjYUenjvrZq/LjxXoVRVdiULY8x6bdXXXV1whPAl9KrIXhUzTquO3S96i088jL9ntAeKeI4hIyO+g/At/C6de9RPfLwI6Kfq5Q8sZmraPxAag4eViwxCRsTrfSTWrMTdWTUtFyVQAW3vDremF9jiYmiv9lONJeax+UJqOkEuuzmJmjOJCZhY+LjZn8+Vmf/2m3XXZpMwipPwydftsOnjVZbdXX5uOjUt6dW06ZNqyZhJZx9l/eApbHii718sFWylhju0zvrCv3O2KoQG6hJR0Y4XiD5K7cepAHqREIQUVgRcPRCnNNI/uyqn6KiOuAdedRR1bXXXVtxef5iDNDDh20iRqAhXvrHi4kPhxPJDRUHClW7f2b3ChuXq4MOOqg6/YzTBc+Berddd6v64Jscv5ZHVsaq+i+J+0Qu+95lyNDy+ZLJ0ff99cOgOMUW3+y4Vx77UAcHbz6mwg5xFSqMKsO07I9Hayssv4LQylK7ZTRaW9iUV8QkOl8qwLAhB+JWj7RUZF2/iIkob/+33ppSPfTwg9WN+Dr6MOwnoEzWZ/XV14Ddr6v43azXJ77u2FXIM888U/35rjurM888U76pxfYg7/HHf6268093VtgkK0uFfJR06KGHpvY8G9/K8vpZq+kz3q322XcfoaGMo44+Mk0qObFbcqklpc132vnT1Rqrr1attdZa8vjNLGImGvPUU3isuGi17Tbb4kvnzZ/9eAnfQOqHNmRZ9/NteLB+l6lXr97V9y9jG2odeY0mExX8WOrGG+leI36Ejl/PbhmE0XNGqohqrH9Ni9AoIa+RRQRkrGn1uYarqjtuv0PqyHqyLaVNY39i2toK51xEDR3VO/98u1p77SFCu9inBkh/uwZ97krQfA2P8uRbUeA9+qgjk6Kf/vQnqgd47p9aBXtQ8Kusuuev91Q4tVvyDjjwgGrppZZC/g54JDc5+oKWiXtetIa5Hlye3mffvcGb+39HpUvO9IWlsF+L5f/0p50vvPhCKhOB+/A9HdLYhCdlRjVmf/oq6cY/2zwZIQ/Jj/8aaFA/9rOrRl5djX7kYXl0xoGUduWjxn+81LgHgMyq7PivHS9048c/mxrT9PMRKo4aqHr36VVhs3O11FJLVysPGgx5Oq5RQiwyIIObMZLpL8Lo6WJmRJl+xQpx5hYaJWzIiWXRvMybWRMkjJ4u5kRU0e9tI8ZKplMja35DzifO/j/ij1f0MZzDI/bJVqkw9k7FwscWku/HNBs3yMe/Y75yTINt2TU7qnWGDEF+G8a5a5CvkrOSrMnlJPvLhCeReIqoqu7gWX9NUdSGRxQywFiB+UtPB2ytgOFXX231yKEKOTj3xmfhmb/mmmvI7G4WfiXhLQzZ0Eqj8Eb517/+1RVAea+95toK54dUp532raY8h8AvybEysHMViHpYtp69esrXkh/DF6mlPp3U/1e/+lX1zW9+s8Jr88L79RO+rvRegTd8DY5ETjZ/AVI/TnOWTM3C1dGY6DnZnytS9mvabGsOZHWUbxpRmJO90oorNfNFJ+PeC8rA6cDVXnGW7mVe//Ofx6KpwANkn5VrX/BecMH5VvzqLEyq+BVcnJ9TcaMwb5xWFpu5P9feXi2//HLVsE2GVXgslXgJ+PrjbbtqO9yce8SNpqwjjimXNuQelRxcZSNy9COjK3z6QDbisiw4ibjC+SuSq9S4NrPV9Gf5hBqJfdrDkcujImz11ySu+H8UJiVqb9d32CaxfSRGGgcRpuJww2zKd7SN/e/6669XHuiZMnmKfFNObIiPZ+KAT2wWZz+oqqOPPhry2qq+2Nvy+c9/XjZ32y8208/458kXyNWhXx5v0H+hrdZBJyfY5gt7fGYP+TWnnPEKmvu5wgMZ552nPuTbn1QWjj/+OKnzs5yMSABzCgpzn92ll15a4a2ObB+Ue7VVV6u+e9F38etRX3CI1E1N+rW4aXw8vlPXGH75y1/go4gLyR4ofqPrzDPPkLrhURtIfVkip0dFuFX7N+rprP7NOloo8MJaZBf9apR09TayZouTX29KhRuJfdrDJshJiNkfZ/tzUsNFAt7/n322vgqLQ07nev/h+PPQgw82jb9P48c6x4ell15KxqVsVW9zD9ftrys8DfmarCMlVUdBkjWZCvWds4k0l6x5OADxjBnTZQmdZMqrV26A4hsRklJUksSPffItCX5QTPicczaQJh6uWvAxAQexGdPzG12JAIDy1iUw9Q4eFfCNIt5IdBCc//pzSZyPaSTUVXWqP2YoT2T0rO/H/k7oAtfPFbZp+GCcBV9m7OGqVh68MlaoNokbnju3v9WfbchHPOPxqGG6tSGEd7X+B+ODqeyIaRXBF4hypKB1pKTqKKH0qK7q9zwtVP1L9XOFg490fGD5cI4GbDs9oaXMLQruUV2pP30BhwImuQI4ITiYUCYnfPHBh0b96XETH2nFMCf9E7HS+X94JMivozt1ytmA0KQ9NsMqEsYKr58bJblqNGTI2jVZ+DyH+BVXUBtEWhElbsprQGiyjpRUHQVZ8z/+zKlART+tUzd2sX+TSQThrdTY//iCC8fZyy7jk5ccPI9gGxCarCMlhQsf8/P+i/PIwDrv/o9Ny/wxh99r8iOSsSUFmdDywy2hOCYxQDUj3Y2kGw2ZRoikAnO7kQ8+z/Tz+xpYVhcylalU3ADF73E06h+NTcsH4QOjxx77lXDO2WcL35PY+HjPPfdkGVGp188NsDxgbBWcH9ILH1g0/amiwJj+8c+OD/jVG+VVgd//2QybUClPv9k0//X/xS9+EfT47Q+H/VvVXyoem67R/pIHS6mtlEg3kFqOxrwui7MY0kFSSGvLhsCTNXnmETfn4o2pMABnmHAj28irrkJxIlUL/VjhkcMhuTEVK4Og7Vw/P97JTdeyqZuFQdhxhx3EI/230z7I+nv/o36rP2HRq0bUJK6a7Lz+WV7X7J/pVYXXj2MG4sblaOiof6UVB+m3uFrYP8ubd/08M6N/v3iomBQHCmr15w84oObQ/tSP0U648fb7HNufRKRfAh9lXRff51kcm9h9/edk/1xPFtHKGcI7+IjrW9ggz42ZWnQty+CVB5NKNlV7HV4Oy+Pz5qSftCJQeLL+LG/e7U+RRT+tYMHsqm1IrLZptFJE+/Yv9jdbzdn/+IILP13DU9z5cWEL8+t/PLj0Ktwb1t9w/fBNfIaKLaVtpeXp7P6T24vHp6WBhawuy0olj+NZVEMkNURK4DtotQD9ZpJIkLIV73LnQ/+s92YFvNoqx8XzwLALL/oODsU7N+z92b3DLXjTg8qdBiRy+eZF/5X/c2XYapstw3gcLsZa87jsu+66Sz4+OnQd/Z4HK/avrn9s5mzTf7H9F5T+M844Q05h3mrrLcOVOFTvwgsvCPzW2Rlnnpnd7X36Hw+m3HGHncIPfvBDsdekyZPDz39+nezu/wxOME6+IT7y0fD/BWV/MYj1jQ9J/fF4Wfru0zgpWUKL9p89azbe+HpKRqRnnsYBgx+A//M7YzwMjUrk0Es3/vXDKbD8UOrDePvvHhyaSv1YOQo3/PIGOZR0xDB+O9AFszFQ8zL+dFb/j3P7J7vZkN2i/Uv9zTjqYx+E/yd3f5/2xyPlMP3dmTih/2Qp7PvxfxwjITJuvunmgLO6tPK4zkv98UupvnSUF55cDkjqVDElkc/xeEryeU5yDV1LOCLHDRJPNWqUntfCuqY/TsHxh1fVHbHncqJr6FrCEVXVyGuuqVZcYYWqV08ciLf88ngLrHu1E94GG4NDySQIq+ePcEIloCa3Vpl6okaXuAEkOCuOSJ8T4YRKQE1uXVgnNOBIOQASvID081wlfGW93n5sT7ThButv6LWI8vnVP6G9HZtTN5Z9XlhdqHAMubzplfef1CV7Q6UcAAn2JROkz4lwQiXAi20Q1gkNOFIOgAR/TPWf9e2z0n49zDLEL/r266eHH7r6b4xDRvv06Z39Bj6zFDZWX37F5dliyVgJmCf7b7ThxrrRm2NpHGOWhI4rRAdFdcibJNxgj5PUKxyxIS9UbLTxhtWDDz3oGmv+9FthEzeABEtmTEnkczxey2myarFnaZDs6RIZgAQLQUxJ5HM8noQ+z0muoWsJR+S4QVKniimJfI7HF/2NVkvG9SZrsGyiAZDIACRYCGJKIp/j8STU9ONPPF4NHTq04sG/WGk3tEhqSEScRiYZP3CqL+AN0hXxBiROk09yVbxRkae1fpWm1zaJMGvQOSPHEZs9toLxCxhDgP2g8hRglGA4i4k02GKlzNeMz1Dmqkv4d+jHab34TtRbYZlllsa5Qj0/cfXPbfHRbX+e9fAazoQYgMcQPDfIh+x1Gcp1/vf7Xy7LR9f+HFW8dT8u9ufnbV7CmUYD8XHjRQcMSHX0dTXYYl937111C3lqg0v7/zvG/9wuxf7za3+eh4VDfcOSeLR8yim62mP9wLw727neK84443ScbfVauAiPxvryQ9VxipL5TFKW4PMMlphzInk+2TDlMaK66iywWUXGpF6fUFGaRE4yQP6EKvqzTQyyuNi/7nPeLupezZjif7CM/W4RI0UbSeTsBbD0vzL+lPE39wmDLC7j74Idf2fiIMFevfHtu2jYrow/786YHhaKPL5dkpD6YFcvsCkiDZhlhUcZW12deAMtduQehTkwRMcu5DMcfddBJ8BAi50Qjyr6i/2L/5X+J2OCHxjceNF10Akw0GInxKPK+FPGnzL+fHjHn/RpCflVzE7M3isX7bqG50wsTpEICCikADVLU2xsBrkqKGmTw4SqMG7NTvmaKVTsOoYv+qPlbBMZ7GQWFDPbWyvF/uJQxf9ghtL/xBfkYp0FCR1iHIIEltRMQZTxp4y/5hfl/hM7yUf8/jOXFR4dCCpU0iYyrHYtcIBoHFgtXcurJUREM6YmWRMgKvqL/Yv/Wadq6CONncinPSwjd11GLbtBbEqCqPS/0v9K/6v3Hd8/yv0vWUN/OJipagNMLSEMzRgnx8AFPP7kFR5TgJgFsZktG1OdXbBKFVcTJIF8y5GYaUNYxY1QxFomBxGDVaxdBWtZRX+xP53Q+0pyMKDpb9FxJGbaEGRLQRNct9RQ/K/0P/OF5CQCCNay4DZl/GPfMYMQdDCyLCUx04YgWwqaKP3PjFPGn3/H+KMTHmuD6JyyamVLV+bOuqanKW6TdjziyvDy5N8GOBrzexk8BE+iSNhAV/TTNGaUGBf7iwup68BvzDzmRcX/rDelbuVtJMYTW5ntSv9LhnK+RDuV8ceMQGuU8YdWkN39Zo1y/0tuQdPIXfyjMv7ytXQWWmsgRRcXJ8QMxTDfh7i/ByjLT7QUZ++NCUvKiQI1zSuD8XttxmGxUvpr0W/TS7NfslWxf/G/0v/cYJF6Rhl/xBRqD14ZbPwo42/2E4MsVkv5a7n/fFTvPzyYXUNcQaDjWyfQRYZEYZSIdZHX6LiGabCeepgXLskkEpL3KCWvXNJK0ot+mgoh27LYX+0hZqldiv9p/4lGKf2vjD/mCjLZdeMq8GX8jUaQW0+5/9BVPqn3327a/OgSvLtKz1AMjaKjiEsDxQUEhnqXUlwUIAlyCSkmMiJBLtSRBIAi5pGy6I8Gc/bOhjMDO/NFO6YcAhlHVkkV+xf/o2uU/qc9oow/9IY01uhoU8bfcv+BD8gNQz1CfERAl6bbCA1JIyCEdsk4cknqQ3b/adODB63AWkgrrG4qsmumyVSKY+V16pIhTy0wa1+3XUu0kWnsr16iUSkua82Qp26pKBLUJeWaec2NNJmq6KcFstUzFM2bo2YjSl4j2tIa+2sWVexvVlKbZKtnyFurpaEjQV1Stqy3fCNNpir6aYFs9QxF8+ao2YiS14i2tMb+mkUV+5uV1CbZ6hny1mpp6EhQl5Qt6y3fSJOpin5aIFs9Q9G8OWo2ouQ1oi2tsb9mUe/H/rrCQ7kxyPQGaZn0xMdMOuUhgRHGKVFM5nmMrdioMKMWzkwkcixP0JZATtEPY+C/WLjYXxyp+J91EIvFO1J3zF2r9L9si2Qe8aHYlQRmjrdkSpTxp4y/dAb8L+MvzPAxvP/gHJ6O2LxxLKhFHBbi4CqxZhq2RioJm+GBgsaqsXbG1RmeAi3PYtVYTynOcnStCRRFf7F/8b/chVJf8v2FcOe9KefVaeopL6/0/zL+cNJdxt9y//lw3v/xWjrvCvXAAS0PdoRAo0jJEQ76tKT0orD9woyVZZYRazdIHEIvFyFIeAIqi1fNK/phBzWK2MlM6lAxu9hfPQZXBYr/mbOU/ue7kMLSgcxRpGvJRfsVr5pXxh/YwQ025lIOVcafODKrx+CqQBl/zFk+JOPP/wfkoePbO5PHtQAAAABJRU5ErkJggg==)
In addition, the microstructure of Zr4+/La3+ system is very dense without obvious pores, which could be further proved by the typical TEM image shown in Fig. 2(d). The weights increase, average grain size, density, relative density and Vickers hardness of the four researched systems combined with the referenced pure alumina and ZTA are listed in Table 1. It can be seen that the alumina grain growth is effectively inhibited after infiltration (from 2.21 µm to less than 1 µm). It can also be observed that the densities of all the infiltrated samples which are above 99% are higher than that of the sintered samples which has not been subjected to infiltration (96.21%). However, although the densities of the samples subjected to infiltration increased, considering the introduction of zirconia and the hardness of zirconia is lower than that of alumina, the hardness of all the composites subjected to the infiltration treatment are not much higher than the pure alumina.
The crack resistance as a function of the crack size of the Zr4+/La3+ system is shown in Fig. 3 (a). The fracture toughness of Sample B, C, and D remained basically unchanged versus the crack size, the phenomenon of which is common in brittle materials. However, it can be seen that the fracture toughness of sample A increased with the increase of the crack size. Herein, the toughness of the composites can be divided into three parts using the following equation [20, 21]
![](data:image/png;base64,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)
Where
is fracture toughness of the Al2O3 matrix,
is the contribution from the ZrO2, and
is the contribution from the LaAl11O18 platelets. As can be seen in XRD, only a little m-ZrO2 exist in sample B, C, and D. The intensity of m-ZrO2 phase is higher than that in B, C and D while the fracture toughness of Sample A is higher than the other four, which illustrate the effect of phase transformation toughen mechanism is small for Sample A. Hence, to understand the enhanced
, we can focus on the residual stress caused by thermal expansion misfit. The global residual stress of composites can also be computed as following equations [22].
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAsoAAABQCAYAAAAA9FNMAAAMZGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdck0cbwO8dmSSsQARkhL1EkRlARggrgoBMQVRCEkgYMSYEETe1VMG6RRQnWhVRtFoBqQMR6ywK7jqKA5VKLVZxofJdBtTab/y++/3uvX+ee+6553ly9753AOh18WWyfFQfgAJpoTwhMpQ1KS2dRXoEcEAFROAGmHyBQsaJj48BsAy1fy+vrwNE1V5xU9n6Z/9/LYZCkUIAAJIBOUuoEBRAbgEALxXI5IUAEMOg3HZmoUzFYshGcugg5DkqztHwChVnaXiHWicpgQu5CQAyjc+X5wCg2wblrCJBDrSj+wiyu1QokQKgZwQ5SCDmCyEnQR5VUDBdxQsgO0F9GeTdkNlZn9nM+Zv9rGH7fH7OMGviUhdymEQhy+fP+j9T879LQb5yaA4HWGlieVSCKn6Yw5t506NVTIPcK82KjVPlGvJbiVCTdwBQqlgZlazRR80FCi7MH2BCdhfyw6Ihm0OOkObHxmjlWdmSCB5kuFrQYkkhL0k7drFIEZ6otblRPj0hboiz5VyOdmw9X66eV6XfpsxL5mjt3xSLeEP2X5WIk1IhUwHAqEWSlFjIupCNFHmJ0RodzKZEzI0d0pErE1T+20Fmi6SRoRr7WEa2PCJBqy8rUAzFi5WJJbxYLVcVipOiNPnB9gj4av9NIDeIpJzkITsixaSYoViEorBwTexYu0iarI0XuycrDE3Qju2T5cdr9XGyKD9SJbeBbKYoStSOxccVwsWpsY/HyArjkzR+4pm5/PHxGn/wIhADuCAMsIAS1iwwHeQCSXtvYy/8pemJAHwgBzlABHeoRjI0IlXdI4XPRFACfockAorhcaHqXhEogvKPw1LN0w1kq3uL1CPywGPIBSAa5MPfSvUo6fBsKeARlEj+MbsA+poPq6rvnzIOlMRoJcohuyy9IU1iODGMGEWMIDrjZngQHoDHwGcIrB44G/cb8vYvfcJjQgfhAeEaoYtwa5qkVP6FLxNAF7QfoY046/OIcQdo0xsPxQOhdWgZZ+JmwA33gvNw8GA4szeUcrV+q2Jn/Zs4hyP4LOdaPYo7BaWMoIRQnL4cqeui6z1sRZXRz/Oj8TVrOKvc4Z4v5+d+lmchbKO/1MQWY4ewM9hJ7Bx2FGsELOwE1oRdxI6peHgNPVKvoaHZEtT+5EE7kn/Mx9fOqcqkwr3Ovcf9g7YPFIqKC1UbjDtdNksuyREXsjjwKyBi8aSC0aNYHu4e7gCovima19RLpvpbgTDP/yUr3Q5AYNDg4ODRv2TR3QAc6oPb/O5fMie4d3U7ATi7RqCUF2lkuOpBgG8DPbijTIElsAVOMCIP4AMCQAgIB+NBHEgCaWAqzLMYrmc5mAnmgIWgDFSAFWAt2AC2gO1gN9gHDoJGcBScBD+BC+AyuAZuw/XTDZ6BPvAaDCAIQkLoCAMxRawQe8QV8UDYSBASjsQgCUgakonkIFJEicxBvkIqkFXIBmQbUot8jxxBTiLnkA7kFnIf6UH+RN6jGEpDjVAL1AEdg7JRDhqNJqFT0Bx0BlqCLkKXoVVoDboXbUBPohfQa2gX+gztxwCmgzExa8wNY2NcLA5Lx7IxOTYPK8cqsRqsHmuG//QVrAvrxd7hRJyBs3A3uIaj8GRcgM/A5+FL8Q34brwBb8Ov4PfxPvwTgU4wJ7gS/Ak8wiRCDmEmoYxQSdhJOEw4DXdTN+E1kUhkEh2JvnA3phFzibOJS4mbiPuJLcQO4kNiP4lEMiW5kgJJcSQ+qZBURlpP2ks6QeokdZPeknXIVmQPcgQ5nSwll5IryXvIx8md5CfkAYo+xZ7iT4mjCCmzKMspOyjNlEuUbsoA1YDqSA2kJlFzqQupVdR66mnqHepLHR0dGx0/nYk6Ep0FOlU6B3TO6tzXeUczpLnQuLQMmpK2jLaL1kK7RXtJp9Md6CH0dHohfRm9ln6Kfo/+VpehO1qXpyvUna9brdug26n7XI+iZ6/H0ZuqV6JXqXdI75Jerz5F30Gfq8/Xn6dfrX9E/4Z+vwHDYKxBnEGBwVKDPQbnDJ4akgwdDMMNhYaLDLcbnjJ8yMAYtgwuQ8D4irGDcZrRbUQ0cjTiGeUaVRjtM2o36jM2NPYyTjEuNq42PmbcxcSYDkweM5+5nHmQeZ35foTFCM4I0YglI+pHdI54YzLSJMREZFJust/kmsl7U5ZpuGme6UrTRtO7ZriZi9lEs5lmm81Om/WONBoZMFIwsnzkwZG/mKPmLuYJ5rPNt5tfNO+3sLSItJBZrLc4ZdFrybQMscy1XGN53LLHimEVZCWxWmN1wuo3ljGLw8pnVbHaWH3W5tZR1krrbdbt1gM2jjbJNqU2+23u2lJt2bbZtmtsW2377KzsJtjNsauz+8WeYs+2F9uvsz9j/8bB0SHV4RuHRoenjiaOPMcSxzrHO050p2CnGU41Tledic5s5zznTc6XXVAXbxexS7XLJVfU1cdV4rrJtWMUYZTfKOmomlE33GhuHLcitzq3+6OZo2NGl45uHP18jN2Y9DErx5wZ88nd2z3ffYf77bGGY8ePLR3bPPZPDxcPgUe1x1VPumeE53zPJs8XXq5eIq/NXje9Gd4TvL/xbvX+6OPrI/ep9+nxtfPN9N3oe4NtxI5nL2Wf9SP4hfrN9zvq987fx7/Q/6D/HwFuAXkBewKejnMcJxq3Y9zDQJtAfuC2wK4gVlBm0NagrmDrYH5wTfCDENsQYcjOkCccZ04uZy/neah7qDz0cOgbrj93LrclDAuLDCsPaw83DE8O3xB+L8ImIieiLqIv0jtydmRLFCEqOmpl1A2eBU/Aq+X1jfcdP3d8WzQtOjF6Q/SDGJcYeUzzBHTC+AmrJ9yJtY+VxjbGgThe3Oq4u/GO8TPif5xInBg/sXri44SxCXMSziQyEqcl7kl8nRSatDzpdrJTsjK5NUUvJSOlNuVNaljqqtSuSWMmzZ10Ic0sTZLWlE5KT0nfmd4/OXzy2sndGd4ZZRnXpzhOKZ5ybqrZ1Pypx6bpTeNPO5RJyEzN3JP5gR/Hr+H3Z/GyNmb1CbiCdYJnwhDhGmGPKFC0SvQkOzB7VfbTnMCc1Tk94mBxpbhXwpVskLzIjcrdkvsmLy5vV95gfmr+/gJyQWbBEamhNE/aNt1yevH0DpmrrEzWNcN/xtoZffJo+U4FopiiaCo0gof3i0on5dfK+0VBRdVFb2emzDxUbFAsLb44y2XWkllPSiJKvpuNzxbMbp1jPWfhnPtzOXO3zUPmZc1rnW87f9H87gWRC3YvpC7MW/hzqXvpqtJXX6V+1bzIYtGCRQ+/jvy6rky3TF5245uAb7YsxhdLFrcv8VyyfsmncmH5+Qr3isqKD0sFS89/O/bbqm8Hl2Uva1/us3zzCuIK6YrrK4NX7l5lsKpk1cPVE1Y3rGGtKV/zau20tecqvSq3rKOuU67rqoqpalpvt37F+g8bxBuuVYdW799ovnHJxjebhJs6N4dsrt9isaViy/utkq03t0Vua6hxqKncTtxetP3xjpQdZ75jf1e702xnxc6Pu6S7unYn7G6r9a2t3WO+Z3kdWqes69mbsffyvrB9TfVu9dv2M/dXHAAHlAd++z7z++sHow+2HmIfqv/B/oeNhxmHyxuQhlkNfY3ixq6mtKaOI+OPtDYHNB/+cfSPu45aH60+Znxs+XHq8UXHB0+UnOhvkbX0nsw5+bB1WuvtU5NOXW2b2NZ+Ovr02Z8ifjp1hnPmxNnAs0fP+Z87cp59vvGCz4WGi94XD//s/fPhdp/2hku+l5ou+11u7hjXcbwzuPPklbArP13lXb1wLfZax/Xk6zdvZNzouim8+fRW/q0XvxT9MnB7wR3CnfK7+ncr75nfq/nV+df9XT5dx+6H3b/4IPHB7YeCh88eKR596F70mP648onVk9qnHk+P9kT0XP5t8m/dz2TPBnrLfjf4feNzp+c//BHyx8W+SX3dL+QvBv9c+tL05a5XXq9a++P7770ueD3wpvyt6dvd79jvzrxPff9kYOYH0oeqj84fmz9Ff7ozWDA4KOPL+eqjAAYrmp0NwJ+7AKCnAcC4DM8PkzV3PnVBNPdUNYH/xJp7obr4AFAPG9VxndsCwAFYHWClw6o6qieFANTTc7hqiyLb00NjiwZvPIS3g4MvLQAgNQPwUT44OLBpcPAjvKNitwBomaG5a6oKEd4NtnqpqJNZvAB8UTT30M9i/LIFKg/Uw//W/gu9i4qKLCqfhgAAADhlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAAqACAAQAAAABAAACyqADAAQAAAABAAAAUAAAAACIDYg6AABAAElEQVR4Ae19B6BVxfH3PkAQFQtFUFRAxIZRRLFhjw17b7GgMWpijwWT/K1RNGo0iYom+ayxxBq72EUpFuyCioWiiEpR6fWd7/eb2dmz5977Hu3Rd+GdnZ2dndmdnZ2z59w9u1UZgqsUiK0qzyigrWSg01y5FghzPhFFjqwE1VreFyANQ5KvenCRdmvVXw2ZnotENZAU0EwwJP2rHpL+xRjERgqG4tWDSNE1ZOZkRhhjBC6UZIIh2Z/qIdZuQVE+G5Gia8jMyYwwxghcKMkEQ9K/6iHWbkFRPhuRomvIzMmMMMYIXCjJBEPSv+oh1m5BUT4bkaJryMzJjDDGCFwoyQRD0r/qIdZuQVE+G5Gia8jMyYwwxghcKMkEw0LQfz2VpFedMpv0OEfrTUwVsjNpLhMewQzBao3lKhfjxVj/FK10livFSSGIUqzmGjbJT/pP9udHA4cRB4QEakXHlVzlkuel8UddeA1lqifTjldg8j+ikFKtmHVpnPxv8r/J//oxQjeS/K93n0v3/acqy6rR63rj8C2WKS3h+F6bwSCqSuhIoyYT5REhxlMlecGOiiJY1AcpYAmJlWeSn/QPc/DGkOwvGmPRaFH1RHkynOSSxh/0lPyPN5bkf6NRE4M6VkoxTCf/CyWog3HJ/0Y+NjIWVU+UJ+akNhXAYExRwQAqbUgCIIYh2R+U4JWxqO0PE+X8Pa6f2konaQ0reFepOC5VJXnEA0V2VSHPt9Im2EKjhCU5elP3V62A0vnK5JEUxCXI8FmePMlP+k/2Z2NTBgsGiE/LGNGBUpKTxp9oSXWjHiWGvY9hJIrDJfmfSCleL8n/p/tfuv+n+U/wjeIs4RyW/PtPmChXmqPqy3SbPqPR/MnSt9m8ZHFialjGVFJMHKdj2JeJUR5O8vVJVdWBa9J/0aRoZQXH7G1JotigiIjTMezLxCgPJ/tL9sdf0dQccE3jL42/+JZGr5L8TzQx9L5UotihEhGnY9iXiVEeTv43+d/Fxv9ioNMsCyG2WckoQWiyiJRUEYWiZurKPnYqZaRRDcryShCaLCIlVUQl+Un/0EC+YCjZH7Thn/bLhkoaf0EDZbopQWiyiJRUEZX8z2Lsf0Z9972bMX2aW2eddUK/G1ChGwsPCJpfpJJUEZX6fzHu/7Kuss6XXit0d3GOH/KLHFL/Q2dFlSxV9i8f83E6G4fiQzPyBJHTaNJTebS8dwkoo/WTFD8Xt5s0ZXlSEZvkm760F2LdyCgVRE6jSU+V9C9KS/YHQwgmYbaSxp+OFdVH8j/eQJZh/zt+wgR30UUXufXar+vuvPNO8R3p/mP+QtRhbkQTnBvoIPJpSwZnI/jkf01P+nrQNJn8DzSxFMz/dNcL/xU4O1eHTDRwLE/iyKWYz63wtUz+Dk/NJQtrVjRNIZEEJIyZ4aNcy0vypXeCZkxlSf/eqEwhdOQ5zMxkf0V9pPFnfsabjvkY2oqgwiij8ShR8j+inaAZM6klyP/0uuUWt36HDu6ft9zqJk+Z4pZruFzUtx6UKLQy9X+y/8hG0vwnjIwlcPxrR+KKRoR2EGk2rlnhyizLk4lyPI+V9kcFw2fjklGcgqgwZJQKtmoIAX/8tpBXT3GeQ07gH15jhC8jqCQ/0ozXMjBQUa5Z6V1VuCCT/nOd5VpSnKaT/dv4LHlbRLRNhERhafzltmRjDhiYUW5ZVJpPSZTGX66zXEuK0/TCGn+DB3/snnjyCffoo49KF1m9Fpb8YBccVjQTbydJvihDLqKXNP+IFOLHjCgm+V8bs1SQ9x4C5J4lz1GCuvG/fumF9ksQFtcGQzrgI4i1C2S4mSqMJy4h9imJAhWEeF5AKU9Pp+Jz7nERKyM0eU2SfNM51Wpw0n+yPw4UP64kigdTGn/mnpL/ieyEIELwrrHJLEX+96Ybb3Zdumzl6jds4Fvrx4m0fulvf7r/Jv+X/B8GO4b93Pp/egzvCvG0wtJ6IVq48eFOzYtOJYc4NVM3QzKDhViK8qL5wrSIA6r4FK00ST6VFukLYNJ/bHXJ/sw68jGXxl+ui+R/glNeyv3vJ59+5t595x25r4iP5MBAsPFBeM011nC77LoLIL0TEUeoqtogxrl/SfcfKiPSIMB0/8ntI4Zyn5P8b66Lpdf/ykSZBiBBIg8TEdqd4wzSWAeVwH58xePMmEZDD44MasUsWXAhw3OVyMNJftI/TEGtIbcJgzRWAxLY29Lc2t9tt9/mrr/+ejXV6Hr1VVe5/fbff4HLVwG+VRJ5ONl/sn+YglpDbhMGaTz/9r+42d+ll17mHnroIakWW2fhnnvucZtvvrnXh3MvPP+CO+usMyWbushpkaITwP+dd94ZE+Vd9V7jGfH+w8mf0ShatVnQBTPISgh8vqIiDKX6l0QKFuaZQoh8nyXJdP9L9/80/1ny5n9+oowxHI1mAfkbdvza1/I10w96ewuN4uJUWIZZuABUnEd5ftG7Z58hrJJ80y/UoSqmLnMHHfpHM0Vp8iTnyyX905yoM6pmzu3v+++/d58MHixlrv7L1cFu123fXnQcLl7PvnMEnfS/eI//WVm1G/3DD6558+auQf36Mp6WJP8zEG9MV151Fbf+eh1y/7gYjf9ZONR19PfQb4tmrn6DBnM1/p7v/ZzbfIvN3eotVtch5sfXdttu5xqvsALam7kRI0a4Xrf0krZPGD8hosvc6Wf8zp1y6ilhYqrFeeXor6f7G9fXb9XFJZTcf2Qca3bENwLT/U/Gi2oEV98/yf9BF/I2hipZvP1fmn/RF+ifrAnGfGpe/X/uKnznc2DoXENn/UxLECQgzRTAUPKUHIg8FpFA6ruQ8HhLkz6Gk3zRIC+iKegrVo8iQ6YAXqOg45Bl4NVjEQlkTJL+RUMFpYpuVHuNlm/oLrjgAndBjwtcD8QdO3YskFKZH330kZsydUrQs9f0POl/VvUsN+jjQa5372dd//4DPF+tovBdBvr/ow+hzymTfaPNUOff/gcNHuSOO/4413Hjjm4N/PzOCdWS5H+GfvWVO+CAA90JJ57opkwy/aiaaIffYQ/gESO+tpE+T/Yn3HKVQz+ZmzR5knvvvffclMmQWYv9DRo02B133PHQ78ZujTVbuZNPPdnXhZbrRwUigUxGif/5/MvP3aabbOouvLCHftfi/f8ee+4h469Hjx7S/jAI7U4lTDEVrqrvGjVs6Brij7tXKNwI6UaSbtgIeEzeQ/lIvmfhnCzBML1aRX29a2m/UtgtlyKS/xWdSo8rRFAgU2ukf6/xvG+ISPf/oBbRW7K/MHRFMd6s1KiYWLjjz9yPCGaFOOg1cPAb7FEhB4Bloc5aZUMwL4KRbymJmTYE2xuCJpJ8U07S/8KxP9odda1DoZL9ffrJJ5i4HOA23XRTN3zEcLVn6yYUn1v7v+SSS12rVq3cjjvu4K677nq3yy47Y9uq9d0HH3wA3sZ46e3/wYOhzwMPcJtttqkbNnyE9wA1j/9eN9/sXn311eApREOmphL9z5gxwx11xJGYgE9xn376ibv00kvdgQceJGWlCOjn1f/czHr0eXW++782+WPGjnF77rmnW63pqu6D99+DjjYL7Z7APYAvvsjx144777hT8SXt14aacpBie5VS41raf0L3E1znzp3dG2+8gRKV7W/GzBnuyKOOwmSa+v1U9HvwgQcLvRcTKRiYGuSfftrpmJS/6+69937XAw+nQihc8trq+Pc3REMLjV202NyOv3ffex8FnRsy5DOJ9YKKIiwL4682+0vtN0OrbP9qI2IoBMVs59b+kv5VdfQNeVjMxx9P5isL1SWYimlD+rgYZZllG6vqHBGgABiRj0vxFdOG9HExSvJNPabapH/TRG6a0NGVV15Jz5gtv/zyId8IxowZnZ1yyqnZSiuulK2IP9J9/vnn3rZMwUXDM6zxCEwj/W+9zTZZhw4dskkTJ0n2I488IryPPPJIJfdM8LY1+/LLL7NZM2cFNgJIvknycTFaLO1/zJgx0Ocp2YorUZ8rSpuHUJ+lwZrm8a1atsrOO+/8nEryjajY8Msuvxx8q7I3BryR0xOK9G8ly/rISgQCj/BpPNygHufV2P9Tpk7OvmB/zUJ/lfHIEQEKgAnOshNOOCHbcIONssmTp+RI0PXqdUvWsmXLDMtIpH09e15ZrJznFVgGwMhyRIACkGW33Xab9Adt/KUXX8plE4roLjf9vjHAGGvsaQJpAIwsRwQIQN++fUXuSy9FMj3BwIFvS1tZpz59XvOMEEm+cfFxMSrUWQqi/1n31VZbLbSTfJs0aZLtvffeOW9CxtqwFdOGLAo2bDmPkJNn5SiTpHEpvmLakD4uRhXaYPRRVo5K8mMNlOqlYtqQPi5GkZI94zrwP6GKIivJV30UFW9ayQdZ3egfr9HoN3wQkL5JsSFHJvshpR9DgEgx/rGgEOG51PMIrMNPL3xS80GAnK8yRNqXDTkldORNoiRf9SDaFJ2I6pBM+p9j+/OP97mJ5fY3fsJE/AKduaHDhrpfn9hd1FwPhPNrf/+5+2732uuvuRVWxFpM9NU222wjY2LM6DGSZuLJp55yrdda27XH28MTf32i4nH9+KMPXRUqsd12XZc4+59IfaINw4YOdSegTYT1PT4ABhnQuf51fAMPwqrod/JK+h8/cTz0uK279JJLQAudbgedwucMHzaMnNFnlEZg/vwPuVSS/9TTT7m1Wq+DE9/aw1ZOCP7vYywvYX9tu31XEV+b/HFjx7n777/P/ebkk9zyjZf3/YtiEDp40EfuiSeecP/jHsDIqarCOlzh6NtViOZu/A8ZMsSddeaZ7tBDDtU6ghd5x/qfMP5nsVPqlznUNfU7bNjwUIaAVmPO5Xftup18pMdfDVQgpAb55Ka1mF3/e8G1yueJfOPGjkUXoH7+bzza9fTTT2sbRFQsX9HKVOtBTKX+nxP5wm0+7S/JT/pP9sdRsHDnf3KfMv+gg11dHa+sSnAP2jvA5jcaXVYUKFh7H/THCOUEVOQc9IYV8WU2S/EiBZJ8qiPpfyHZnxlpBftr17YNPia6VT4Gq19fT/GCKauZso+C4bLH4lC7/XfosJ5r2bJVKPCUv1HvvufuwGmFXnj+effwgw+4zTp1cg8+8ICbNVMXVOLFhJSTHQDmUT4Hm3LRKgQ2Ilrl81rX478N9Xkr9dkMH9c10DpA0Ozksy7ZbPzPyk1Wds8996zDm2q3HSalP//0s/v5559dm7ZtWTj02fz6H06wWB+GuP+ff/459+CD/3Wd0F//ffBBVz1rltBJr6GBnTt1ljKxfLx51gkbc0Dzvycec1OnTXMHHXSQlI31fyP2AN5qK+wBzI8SfYjlG07j2u2PwkTnIJ4+fbospeAkudu+e5v5lclv0mQV6Pc5ebjr2hX6hW6p47bo0/Iw5/JZ9kC09/HHHneTpnI9tmqX1/hRYHb9Tz55mDv5ogteRHQuP9a/nx2DqHL/57IJJfnUomoSQDRmYvunphiS/r0Skv1BEYvn+MPdCoM6WDVMVhwGED7WaiNBgDcrIQbMIJlKoQiQkBQoumJ1F5bDWJgKgqUktYzKn4o1fhPx8UyLZs2T/mkMYkawCDEKMSAxJEETSaCC/f2At7Arr7yyW75RI7GrubU/l+FZkeJEUG3yWTGECvb//AsvyO4KzFb5vMVWq/2TLya3fGvcfj3upCGCtDlIfTr4U3f++ee5nXfZxf3+nHOMgfvH3/8hpDtsvwPWqr7vvv/hO+wL29p96tdVHnjggZ6V8gMrCXPb/qpFOP60wt5LRPp/4cUX3Q/YTUFVVSUfmQ3CqWr33nMvZk8gRCO33nprt95664FF3v6RI791EydOdNtsva1rsnIT5OR5XjuBnjliarW0X+rxw2hQ6kPKZHxYNwjr1e+9F/XwYSvUowPq8Y9/3CiYrl23d++//4H77vvvXOs10V+ffSL4g7Am20t0//7Xv9x551/gxo8f7z784EP3i01/Ic0Y+uWXrkG9+q5t27ae1FoQ2X+96B28NC9vI9cMDxz4Dky03P4Ul7lWa6zpfrnrLqIZtv9Pf7zI/fjjOPf3G/+Bif4DKpc1FuUU5Y/8ZqSbCB3QljnmKoV5sT8+OM7Ex61fDx/uNtxgQ+gCbYJ8nZL66SqfCnydgtyS9hM/L/IpTk0lkuFlqXaRIFDB//iCFC0hybfuS/d/Gz1mG96AJSnmBGhR+l8x8Vr8H8dhsn92V+a4p48G7xhC2uMFbUjgNG2xpgxHRuJ0xMUZY9ACzFNCJTIFZxnCJCL0eOXtE4hMlsbxVVgu9vL5JqbXzb3c3//+N3fEkUfohIhVl6Ys/e33vSSR9Krv2nlt/x//8Af39DPPYpJ5tjv11FMd1hyKMm2IU1Dt9gfF47++natN/6wob9oapLu00vig6TI3oH8/n1M5whpT91uZKDNfGz18+DDHr/w5OXj8f4+5Bg2Wywt7vazesoXgJk6cJMXuvPMut+kvNnG77b478HEttOiSNP5EDb6d2hQk8P9SfIA3oH//oGu27Nlne+PvOWkzi9zUqxcmyvrgoVpw2D2kP0nx5nVLsDHGs+t/KeJVqfIF4+thPJWqyj37zDOuN/5M5s1Sj/WCtFatWoIUO0iwvxDuQn9tUugvh6UVp+Ao5adcn9f6uI07bix0ZMidLJo1bwEfFtUduaEtQNsbbcr3lQ51eR6/Qpx11lmSU34hz8zthA9Hf7nrrpL94osvuL/9/Qb38ssvO76R5ySP0mbOnOmOOupId9bZZzuspw/y+w+AfkG09VZdvEzVgl6F5Tz53xZsM4qz/RtuuJFnpJG2kTAo2H6F6lS+SBLGKkPSrBCCyvOJJD/pHzZBa1C7iK+0FuSJqRQfEmq//2g5ZYjCUp6MFJ/sj6rwykCk+rB44ekf++f4DkElfHWAyN8HC85qhxyZKvinEP4cRsPQ6QMpjdDD3kKEh4gJTZaUUTNRNKalU/6rr/aR3RP41qt79+7YGukPoodlpf2RyUu766L/uYPE9OnTXA9sM3XVVT2x3vAZt+2229KiglHVZn/WAdU5kZQ1VydoVlRCpj8HI027N/t/7dVX8NKYRPxjCV+ARs1QD0+ksnQjt/9Ro0a5XXf9pWxfxgnOSqvEb+hy+19t1dWExdSpU92zvXu7F/ETf58+r6sUP/6+HfmN+xBrYX/5y11leyxOOD7CWuZdd/kl9qRtLG8MB/R/Q/TStGlT4ceL1VZgVNXXVnLK2u8z63L8m5pK5ffBzhKzqvlGnj++Z67N2uu4o44+yl39l78oBu1ugC3BTP/mfwZwIoew1VZb44rWgY4Ty3fff0eWrnDpAid6b7z5ptDpJNC5Tz4Z7L7B2+hddt4ZDyt0iap/fECGemAJhVfUOuus447GBPLqq6+RN9v4YES2IDP5LLfqqqsK76nYRrA3Jvfs29de7yO42P4HDRqkxyn7pRQ0lWq0mTxMPlUuao86SjUCPAywtP2nn36aPCwqD7KR0mJ/BteL3khffPElMineY489ROoMLMNgWe66wXDO788tyB8wYICku3TZWmLKpz7ffQ/6nVUNvWMCjbq++SZ3zXDyZp+E3H1k5DffygEgql/JFplaQ+rb2s881X9skVqCGFBCbjz+Yv1rGXJVOspXGeSQjz+mKNPy2BSDTT7TgosIk/yk/2R/y97404WC4iQib1BwKMDTK4UgxJLih06xezFYsTmd4XMHBArv7Mxb5c6OrGOHtnTI59ZfBxywv8MGBth+aYDrsiVu2lSrV+HS3n726oLo/7XXXsvdjY/jTjnlt2733Xdz++67n3v99dfdxhvjzVQwWwP0Bhzf7Kh/WpvqX2tZyf44AWDgBJL/Gcz+GyzHyZXJCF0qNMWLyp8+barbf7/93Uorreiew8ELq6yyiuwn/CDWth5/fHfhZdyaNFlJWH/11VD3u9/91v35iivdttvxQUDl34o11Odh6cakSVPcH//4Bzdjxkw5pIFvNPfddx/3q6OPdr/93e/cTz/95Fq0aO6+HfU9Ju3gvojHHyeZojKv19j++WY9PMFT46gvcdwrtxhY2DTFN8oD0MbVdV0ycrgv8LHHHINfHJ6RtbgvvfSiO/+CC91nnw6Gvia7226/HQ8eL7in8OHkhIkTMMk8xd0CfZInuTZoUB/14FIHlcHJaX3Ug3v0ajD5vhGga4I3swzaX79zV15xhdt2m+2UHG2h/Yz6dqQbOnSoOwZ1A0LYs/1t2qzjxowZi/XNeCBjH0kAQeR/xf5YHxik2Z8ndPWwbKNhw/rG0tBRbBNQ8ET/v/oKHvAwwVX+1e6OO+5wp512hnsGa+Z3xpvn5ZdvjLK5fL5db756C9e2XVvhOWnyRHfcscfKx3DTp8901O8FF/Rwn2BizGUqt+PUyxexLOmJJ5+UJTGnnHKyu+XWf6L2Kl+aBXD0D/yI1Un7BQCFtV7SkjAMYg+Wtt8ywFI5WBErALnUX6l8Zsf250trVaL2W91I369fP/z1lV+D9odfD3kAapPfDw+sk/DhKfVPPkpMAA+GUIg9fEieXKrdrngA1gdtSvHlCKX7r+qDapFAPdau/7rqf8pJ+ldLpy40zL3+eR/4J5aijR79vbvooosDH+XEJGRgXPTGfZIP4Keffrpr1qyZ0PXseYXjy4tj4YM0zL18P1gxquK2xP5H5WNgMuimGmFrDcPECKHTSym1pEtpkY5RMRyx8qDmxjQCx4ioUCl1RVog4+IxHLFaKPJHjhyZtVpjDfZEdu+995WLT/oXncR9JHCMiLSm6DzTaGWLK1g8Bk+GNa5z1P89o+3hco7edjwCe/NmeOsm/YdJRFlvmfyoisKgjJ8nuPDCC+mvs9NOOy275pprMpwImGHNcYYPzwIL42lbx62wwgrZkUceIfnKtxo7nlVn+JI/G41t19ZstUbWuHHjDIemZPhAK+u0Waesql69DEs7Muy/mx3fvbvUH7sUBBk5YBxLMHED8qz5bn+sz6efehqca5cftmXzdSilZnrcmLH4Tqgq22effZQKyK+GDs2uve7a7LXXXpO2t2jRInv55VeyTz75RPS/3HLLZdddd12GSXK2+uqrZ1t26eIlFPvfkKzH+dgejvKszgFSZBb6q/EK2RG23V+BOsvwQCTyn3nmGRZH0MK33vpPqSe3BBSM56k0er2lVy+h6d79+ICuSAtkXDyGQ8EAaC7WWQvvJ558okz+2LGq332hX6WuzrB7SXbttddmfaBf3KIy1e/Lql+kG1C/f70uwy9oWQvot0uk3yAawGWXXZrhTXc2fvyEgKaMgW8PlPrQb/bp06eQF7dO6qOVCjSsZIyK4ZzIIM2NaQSOEUaKmOgtt9xC2owDbbAdIDCltCUoy1533fbaJr0zCw+2r/Dn8wz33XffRdJNlHH06TyptDXILzAKCS0csxA4RgTaJL9UWxV1BWSsvhiOVOlBzY1pBI4RUaFS6oq0QMbFYzhitUjlDx8+PNt1l10y/BKVcevQuI4Ce8QXX3yRrYQtRTkePv7oI09XnY1FGfx6nB162GHi/wvtQtkyfgWCOKGUZfQRwk+UwdQjJYoIYnYK15oZkUd0AfRAMZIyS7P8C86/QDr5V786uqDCoBZgl+b25xZb7PgF0f6DDz5YdH3ZpZeornkNgsrlcx9lvshp1Ej3URaKQJ9lW2yxheyxrDcteYUjk6qbbrop518RipgEsDrjJHF5yLKbIGPKZ4ydLLSqgT7LsNOA5O28887Z1KnT4sYEqZzo1W9QP9sFTsfCJh03zrDMQhwQmf7qV7/KGi/fKMP606CPSMwc2d9DDz2cHXroIdmzzz5rYmqJI+4BrFZ9lrS/ZcvVsxtvVH0KaaBX9sWJckmmrwG2ZxM9ca9cDTkd1glLXq9eN0vW4EGDJX3IoYdKehZ0grenoqNK8j3DrBUeRs4771xLVoytv3bZeSf011SlCVVR4Kwzz5JJ/dhx4wIPjn9OiJZr2Ci7/q/XB7wBugdwU6m32A5sZmXuAdzNPxgYYYiD0NDfAfBZEQUeJl73ewxXZdy3+vPPhwROBJ58kvqtwl7ElxXwTNx1N/SL+gT9Dh4sE8BDvX5nzpgpD3E1+b8ttuicdeumexlLnXzF3h5YaaIc17qsKhEiogugB4qRlJkb//vuu+9Ke/lwQJ30698vkmtgEBrUTmDdddeVPtx9992x5/YX2C97coZffQTHvdUnT5mSjfp2VHb2OWcLjn1dnChHfE1UxTiiC6AHipGUnpv2VxRXhgxCC+1XYUocUcyR/ykvVSY0QkTcA+iBYiRlUvsj7QZ9ReoMYK2ZgSrq9AjMFc+XNxt37JhxHEwEXJP+eb/Cx8N+LFRlWFIYyciyyZOmZPj1K9twow0znjuQh6ieAczlky6gCcdZcYZnGCbKPh1FFagj1pKLC95rRWWKoObEV61cKGO1KxbzqUp8c5xAuAReFXgodXxd+PKxVhGHBLRAR1dlL7/ysmgr1HkZaL9q3K4LXv/YE1UG1ZqtW2fTMSk1yWoF5fLlwBHc5LFvbYkFWYkYneMEwiX0ZUzmYaWOr+XyKxQrlMYJc9mwYcMyHJ0NvPIigUC4UP4LL7wgE5P7/K8VdEL1GzTITsbhHlamTdt24lBYLtR5Lu3v4osvEt3+7W9/K8hnfSoFrW181drMrfwRI0Zk437kpFJ5UZZAuBivs886S+o2EJMrCyb55JNPzhpicj5x0kQpd+ddd4q+sCxASN98+y2Z+ODkPSuKOJdlyBEjhmfj/OS2VL7RxP1l8pln3Bh3xsRw4402AtKwVjrLjjrqqKzjJh0xyY4OHAnZOb1AuFj7A0kEKHV81XqEMhXk58W1nKXPOruoX8nFhbyoX+w6g18uJgr5XXdx4lyVYdcQpKuzt96CfuH/bsaDCsvF8nEKoOj+6Wf4y0IcqjP2pU5G8Ub5Nb5RzusUy49LxbBSx1flEMuP6YtwLivHKw4fDYutyQMLJrLnnlv54SmWbNza4Y1yvfr1sm++/hqVUezx+HWADxobbrhhEDVz5owMu7pI+/OJsnHxmkAytCWUzAGljq91035KEK5JftJ/NCZzy1MotjyF1W7w3Ud28EEHic/48ccfS4v5tJa4/LLLMhxTL+OD4+0jvFFmkFxcaP9Dhw7NVsQvrvjmy5fVSDnEVy0Xxowff4VCIaHlLBntNYRqsCYaYQKNkct/hhC8d1uA5d0akvFqDpLE5EIDCmJ5ZWAcyuBVWmmw8kuL/AcfeBDrDkdj39zV3Y477LjMtV97fOH1/y93200+qPp25EjZSWKO5MPo1FZz+11c7A9vurF2sw22v1teR48fIPH469e3r4y7rtg/mNn86ApvSd2O2FqO7R816lscvDHUcau5+R1/NnZj+fEYtvFLnOqUEuev/9dee22nHzWCV4X2j8C2Yndhnfp2223nOm+xRaiOye/b93XXCcdlr7jCitL+fn37ufpYV74t6BkG9MNHauC74447GfuK/m9tfFRoH1fW1P5Gy+f9ZfLj9uOYRfcRPrzchuvMK/i/v95wvRwPffbZ56Iui4f/xU+k7u67VL9bdFb9xu2n/W2Ko7a55p7dg9P2sKa2vtsOh5LQ/mS3DOSU+j+8UXc4jdJ1x7r8vbthD2cEs58w/gRrGZX730gYW3nClfQ/v/Y/aeJkd99997n11+vgDj/8cIrxh8AIOFv5/BiT47D1Wmvl/Y9KW12t/vXqNXCHHX5YgR91aYhY/yp5zuTPb/uTfNVz0j/0AGOy+4HZoNkv02bTsf+j/f3rn/9yjz72P9j34eHj59LyHP9vvf2Wu+zyPzv8ehvsXtb2G28vv23btrJDz3XXXevew1aqFmqSH+pcwf9a/YP/8YhooqwYTo8ZyIMMjRdm1iof0gViixmQ8DkCWHnJMxrw+eqrr/Cxx0s4eep+bEn0d4c3eeHv2muvU0a4Wvm6li/18ZdQ3xhp7ba4jtr/4ksvi5S99uoWDguoST51/DgM6Pzzz5cPfa788xVuwgR8+IHw2Wefib64gH3KtClUlIY51L+nlqgm+cxcWPrH85p7zLf1V786xv35z5fLvrKUP+SzIa5nz57uqit7umn48I1hTu2vEXZD2GMP/Wr/pVdekrK5sjRZ3n5KVezCar+vWBTNu/zX+/V3q7ds6dbBRI7174c0w9bbcvcH54YM+RzXKoc1zO7MM890dsCJZIbLHMqnpuiBFhP764GPx9p3WF8OZrn/vvuD/UqzUMex437ErhafymEd1tTXMZH7xSa/cFj3LSieTMf2cD/hvbvt5cb/PL7O/Z/JHvntKHxwOcM1XK4hds+42vXC9nIaVP9roB/5geebb73hdsCezEP8vtlzav9mv8LT+ih0VizJiw1R5f7/A3aT6bB+B7fpppuK7+bdTyg977E4TXAQ9Yv9pJlB+X3xIPKLX0C/cvIk7A/jmScJ4u2R69atm/sZ+0fzA1wezrLvvvu6f/3r36hFufx64CZicFlU7S+9/z344P1uPHzy8Sd0dwcffIho76uhw9z7H+AG7dsfVFpB/wPfeUdO3Qw0Aliv2Ysz6BFlL8WuJGNG8yVLy8Wm/aX9zzZrz6Ehc9B+NjfQS9vtoljTxNJy/9fWBUOQ5LLcfo7j62+4QYzgN7/5jXU+4mL/YxmFO+6YY90ReFg85lh89OxDVVW1UppKUYwleWgRt7X8zUknyg48Qm408+H/bPxzAEoovmi2lMVGVYxDrgAhFRFVZ3CI2Xbbbcu2VP7DyNgIPzkVS1vK4ohlBIZcAUKqjOJJfJyCo2Hxd7/G9zHGH+P/3p/9F/B9kqdp0jLd+7neEa9yMEisRT7XlrLtF130f54BiK2gxcgZhoXtnTtvIZ5y8807ZdgnV8rttttuUo4fe5FPu3btZJ0rkaG4ACEl9HoxHOMIjkAjNlR5OaMoj0MZAUIqIjQc4xwejg/KOnfuLO3ZvPPm2R5lbT3At7VtaGvENIDGUVmHlPwUSl3tvXc3T1uUH1Ulu7In1iiDFm8CA9+4rhGyDAwSBQipiM5wjCM4Ao3YUJq2lMVGVYwlFz8frbTiShl2uAiZXPeFL4OR1vI//fRjxnXA/HgNOw9k06dNV9qIfQSGclbeGF988cXSL1x6wRDKCBBSRh5RMM/yEUegERtK05ay2KiKMXN/wk932OEDUCXa6syW4tyF5RYMmAyjv6sy/nxuRR55+GH58Kxp02bZAw8+EPGqxFPYyCXkChBSOYEJkFjzq/GzIybpskb5gP0PyLCvepFXlHq297PZYKz3rSkEiXMhXxptBS2GgAiMUtXQF/Q7ifotDyzDj1s51oJ+YWv8qPLUU6Bfz/Xhhx+C7TWQNfMPPPBfQf/vf//Lvh6B5Qc+VJI/cODbwpv844/5yspI4SIHpTEc4wiOwDJegqhA4Am5XpIfHn7zzTfZTz//hG8b8LMw6pf7d+PIOOYTwRFIqu7HHy88sIc0kwglBIosuxqVkodURGc4xhEcgUZsKE1bymKjKsYhV4CQiogMxziCI9CIDaVpS1lsVMU45AoQUhGR4RhHcAQasaE0bSmLjaoYh1wBQioiMhzjCI5AIzaUpi1lsVEV45ArQEhFRIZjHMERaMSG0rSlLDaqYhxyBQipiMhwjBV+9tlnxNb5wX2oUsi1oljOhWWD66yztvgfruPnGOOfLb0gpXEnMGvWTPmYmE/q/Fhag1EwjuAI9IQht7ycYrj/K4IvaQw0L86pBZMXCks+gOIi7BNPODE0EKdXZTiNKmvbpo3gbsTHUJyM8u/1119T/jmrIK8cVYrJ07H8uPI4IUsmQ3hO93GFSTsUzBuodQhjvBUxzYT6BF0FTO3y7eONm9HenDIUFhx+Gs/ardtO5OONHzp9lhBwdwTuXCAfKqF+2IM0w16xeWGBcq41td8E55Q5C8X5nAoE5ahSTJ6eE/nfjRolk33ql22dKW2tzi78w4VZ/Xr1syef0o+ytK0DrOp5hcsw5fKv+cs18sCxScdNtJwnySlzdlfYrhdco1yBoBxVisnTc9L+XHJcNc8jZxXIylGlmDxdm/xp+LDsp5/HB74GaGnPI2dl2QWVlE6UlSgvVJt80uaUgb3HzZn8Unml6fmRzzXQs2bouMtrV6nOpa3I03Mqn+N7DHaRYNDSi779UWUEtEveupowOUVt7f8Ra7tnYG/M0lBb+7lGWfwxfJ+uUWbpXJ7yytO1ya9UMsd5HjkrZY1rjPrwww+lPnvttVfI79ZtL8F1xIdJ8yr/+OOPE3+10QY2UQ7sC/IVG9eImDw9r/IDj5xVqEA5qhSTp5N8rzZTSUlsyaDc0Hs+pwJBOaoUk6eXBP0fhg98OaZ33XVXUYPW3rfBR9iuM6tfv3726quvinVPxkd6nACzXOnHfMF2wW2XXX4pNMcfd7zwDkOjyF7z/LWS/JjAF80ayNSQ75cpIryqBuyD1s+uJPM/hxkBp56+HF4kAKvp0353mrv9jtuF6o9/+j/358svdVXY55Mb8d90441u0KCP3S04rSzIrWP55GtVO79HDzdh/E88SViqqqLYEqwYw08BEdJaJTG+tkeWURvZnLWfxfgjAd48iE6aNde9/8g45kiV8eCRoV8NlbWof+GhCv5QADk4I6t2h/AnPtBdesklOClL99CVCgqzyvonvbVf2hcKlMuX3/m0UhGVgvPT/krye1x4oewhyz1jMaF19fGTLMM2W28jhzsceoj+nHkJ2sqjcou1ZWr2+hddoz3Dvx4hvGfbflJhO9lSOqLruv3kqarW64Iaf6X93xBHfC9nx3xH7Zpb+ax/IYROhq6i8V8qPy6zKNo/O/mrrYKDXbwfi2kXRP/j4dc1a6oHycyt/ufE/qUdUHLompJ2LQr9r7raamL31O1cyUfd6aL5p2VnP/4XVPt59DjDiSeeKDEvBx14CA4Ceg73s0Hu8y8+c+t32EDtiHU21zw7/bPCQu8bGbgvPf4natLc9X+BmmpadP3Pbkzy50//H2OcMKyx5hoSl/q/0Vhq9Otf/1qWn+60006g4cDQyPQvBe0SBplzLVs1F+wLOHFUiqEAy+jFCig78+ul8nMqhYxOjrBmPcJaDKMUJBKsCIIJ1JSg9GI3R3gy7nPFfLwed/++jevOnDsaBx5cifWnVtkuW/J4WRxJi2OHJSBR1/KNr9X1rDNOzxugUgtXa2pFJDMRhBcuxlOxzPClo/ZLHgkxM8drBgDKxMpqrFceY8wPkRg4SV4eHwNJQBGeosYbxLRp0+TQArx1nSv5Jk+YIGEmHssnQ2mBJ+aHKnIMriBRE8YSyECRNJ4cDYg2gore9Z//YI1nt5zclzT5WHIhaxMp6i+YJDdavpFQkJdtIi5txcl6f7BTC+fB/rhxv7RLdA/mVKKgKFnA/KooQ0q+0JQNCBKyptRi3H6PZiEJnq4YWWZMUQYXiMoSdSsfT8oqAWylVWTvA7apc998jQc8Eyn4KhzKwfXyVY7Hhl+BgzQUjdK+/ztiXSoPsVB8pFLI4uTQQsw2hi2/cmyUS4f+vfaLKq7ccI9dNtovLy7YYq+gYKaxH4j1VIv/pcYk1DL+2QEUVTbcBYkML3fqlKnuP/fcA5/czB2wvx0w4tz+B+zrTv1tlZzM+cgj/4PfulBlgu/cyNdC0bVEvvCKeRrpQmp/kg+FJ/3nNj2P9ocdnITHWq3xMSsDdBqPv5NOOsm1bt3aXX4Z5owMcm8hoHddsUMmLUT236JFS2D58fooHOw205+yClQdjH+5e5UJZyU8UvwEYfyxQRIgOMBG6CfJzO+Jj7B44tPGG23s/t9tt6GsZ8BMX3bE8BFumhyZGkQxNw/zIT9UDpWUepbIFyGWh4QXlcsmVAfy6+Ft6RrodIbvfxgtsXQaIS9fjtMFvBreuBxxxBFKwyvk//DDDxJjs2139z1347Quf17ZbPQ/P+3nJJMf3lTVY4xK4IQwgWkpSAqO9fP5fCsvZTAR8irLDcV07PX/Fo4O5o2Qb5eOOPyIUE2Wk7YiZlv/8597cAJafUrR+xQITvz1ia4TJnBYx+fGjR0bykqlSMh6M0bAYSNSh7XXWlvpvHzJhHyNtZqaspKaVbiGLF8OmQIZPkdLMX0CNSJP6xlWKlJZvlGiYABzQXUiH0yMYxDh60mhlfrf6GUyU6H/64me87ZTgJTxeJNjfChOYcuxCkTpAOallKenzdGCWGL0X6h+aKTHRukA5g1d+tsPNVi7Qxzdcxag//MdEOTb/e+hhx+U0y2xHzlOP2wYxk7Llq3kaHiW+9+jj2px6yrE2ldshG9Iif9hgdxzaXG5GrkVRWxs7R6q1J4w8n+BcI7lR3INTPJFE9b/7L6kf28c8zj+vv/uO5xAO0X0uEarNYI+vam5f+Oj3ieeeMJdjp0uRuDXYBy85L746kv3Jf5M+zgwy335xRfY0EA/8g/jCva/eosW6Cb4CdTv+++/lyJzNv7M6KO4xP79zCsiMJASQGyNIJqwoG1QmuUEIi309jsDSS5H6Da2N6SCwdtmvHon+Vprt65wJK0nYjQf8mnc9qBBWdgfVZwcJ1NUIrfoUTiS53ESUTxIWq3REj8DnBSIyEuqNZv2x/Lb4IhFPhSM5qSX5aWsyie/d/AVNLnKkcsksAASHOwgAvlTxHrt20vO3MqnjDiUyo/zCGMfV/nThpbm+vYbmpVhCEIUEbc/ZIFs4LvvCnlHf7x0nIdF/sKHbW3fft0gyGhuvfVWtza2VGqAm1RTf4Sl1LFMfpX7frTqeh0s77DyIhiXyu23hhgV6GydTo4SSPRvOCsWhGiuXAuEVsCaVUNmTmaEMUbgQkkmGOZJflRMuYTre++hnwqCNItLfy67/HJ3FXZrCL86MKsgH0WRjscfSWRyzVjIKzAnURxqICmgmWAoyNepsslXgvyq5Qtc8swYqoGkgGaCIclXPcS9W1CUz0ak6BoyczIlZNp0DJBqlpJz4X9D15AXQuXxr3mFq6+ilf8Xll0Q7n5Cd1TET2193fChtRxp/fbbb7uvv/4a97a1y+zfeFeW7xmZMBKXyCeK2YIukV9mfyA0+49Zkkdl+cwpCUm+KDzWX9L//NnfFPwyzkA9zpw1IzdbwTp5GUhwv333iYe9z9Vy++23r6Qff/xxt/9+/pcd30lNVm6Sl6tgvyw4r/ZfmChzchjWGYbqKeDlygDk9lDiKqSClsMn/io3Hcrg63WGrbbeSmJVr4I4glAas912uuerb6M4GD6dN2zIKlU5fGktr89XWWUVKUgp+BDM4dQol+HtZk3yyU94RnW76qqebuTIb4VP4UKHg0aTd6XALY5somytpAOqrf2l8rkHLNuPwwoklnrLTEK18q5MlB0myh1lcm76/wrb6d15551SrXbt2kkdhXck/+tvvnatWrV0y2GrKXKbiD0+8fWnE5359o8a9Z3Q2JvgUvlCJlLAAbxNvkeFaF7br73B0ngoGPi2xBtt1FFi46ltvUsU0q5dW8krveCjP2z1NQ5rAg9CS2u2P7aHNyuGtdfxP++I9gSldhPpf2G2nzVYlPqfX/nai+wmD4nyrBdDr5SNP+lYVf8S3X42d27Hf2z/86v/ZVq+H6iLQv/YecTh9D3Zzq5zp83F/mUce/s/6OCD3AXY0pMjAbt5yBaMOgjyseHNv3b75yo94eIba4Ui7KJof1yrJB89BCXE/W9j3GO1671tWJ515ZLs/9mk+en/lqu3EDVwVHyPX31tdJhuNtxgIzcZ8z7RWZTJMwE++OhDmZ+sj61AV1x5RXzj0VRVG7hk+FVaf7Xn9zi6BtqYMNYwr/rHrNSYQa50rr6RYW+HvqYMasgjRZjKRWlSqYkQmjVzlquunim5m3XqrOx9Ob4Of+XVV5Cqcl27dpWSY3EYx1FHH+NeePF5t2679u4TOKXTsKb4HqwHq8bk6OaberkuXbZ0x3Y/1n30wUeY/Kzt3nv3vbCmtVS+NkfrKrUC2OvmWxxO5fI1ZivYRtIQJsSZN9KYQLENfqc+/eBGyTSfufKfVBpmJ3977IXKdb+98cEHvkrFh3rKg6XJBUfFCsQP0Ez/s7C29qSTfyP7ApKKDwehn1Bo7JixsvYbJ7K5duuu6wYPHuTOPONM6OxeOWji5l43QWdbuWOPOx6HG3yAN7HQ2fu5zkSwlx/4Mi3Nmr/+F7V6WzH9e6WhrV8I2Ly5LrqnuKx6lvvNb06WhyJmrtFqTe0ZZEp1vP65ryx2C3Dbdt0WeMlBadZeuAiOELY+cy/Clhi6dt1Rm0eavEiAFUUBmr+g2y+V4sXXpSCfaEEsOP3Pv3yte236r63/51++7ydTIBiW9n+Szz5Smy4df0ua/rW+HBRsj3cEYgIyUCR7YfQ/fxJmOOGEE7yrKMrHzkZuE7xU+eijj92jjzyKifIZoOY4xkiRakulhYdcfHGNcP/R7vL5i/P413ak8e87ED22MOxPbcYbiXTBkim/ceMVsOxyVffzjz/LUkttRW78//63fiwrQwaNlnwkuKfyCjjMiOGR/z3isJuVwLzE+sfR74Jv02Zt2RBBOAszUVooY7ePUvm13X8xUY7JhXUBkzNVOvVXoFOuPht5WtQ1XqGxW2vNtdzX34x0o779BksG2qGCWvb//vgn+TBtk002wSbSx0qRP110kdtii86uNZZi3HX7HW6XXXdx22+/vXv15ZdcV5xgdOVVV8iJWn+97jpMpl9yf/0r4uefd0diiQCDcs7l5++1mMd68oML/4pe6qgV5ZVBy1v1NU9zYph0nlIK4lJD+0vlH3v8Ma7HH3rI007f1153O+6MyRt4CRtAa+PUtRH4cOqDDz5EKpPJ9Dlnn+0G4QmKJ43xVCsc+eiq8QBy4003u5OxSff//elP0NkW+IlvLXcndPbLXXdz2+PB42XqDDHXiK+w4oqOJ9W8+NKL0Nn17oUXXnRHcg10uIlqK61d2lq9aksVtmYbnVYceXPYfi2vHNvgQAy+Bf8Ak3dyr8YDwTnnnI0bzIdyStobOCiDi/D5BHnTTTe6k08+JRwK0e+1vihR5bbdGrt+6KtvaYByxtVXl+3lQGzWrDnae1horxALjRLyysCfYlhY05qnPBWuy/ZrHZWvymOLYmmLu3yvZ7mzi/p87T1eIpkeSKaNP7ZSgjRvSW4/WiEdh8s82P+S3/8Lu/2QR3+F//X4KxDDQtb/tOnT3N3/uVuqseWWXdxnn36mlfD9L3WCfW+ON80fffyRex2nQI4ZPcY19+sl1fSjulfwvxMnThA2Eyf8LLFSs6GAfFHzEwu7/Um+9XDUh+yENP4jW4VuvLmWzn9K7X+nnXbEoWpPuh+wu4UWUb0qXI6R8tC1ugHQyt4IoKug/2+/HSl16tC+g68b6QiqDBWYS9KcOZBPQqwd1GAbxjHlYTsTW5O4xjRWLGze5xGIrv7L1axNhklb9uUXX2a9e/fODj30EMFh3Sg2a883mrc9g8868yzJP+2000QO9zRtiM3ceUgCTjOSSt10082c12TPPPNMEIbJVoCLQCk+TsewLxWjPDyv7VeOOUO2ifrAG4kyYZj0Sh7z995776xLly44t3zFrM+rfbJzzztX8jbH4Rw77LB9huNzsw8+eD/ss3z2WZHOwJl7Vzdq1ChbruFy2TvvDBRZvW7uJTyeeeZpL5tRXreAjFF13H6VUZ39iW3VZwRp61ZdtsJhGSvKfonnnXue1JMHkeCI16zpak0zvAWXoqzOXnvtmeE0s4z7AcehtP8PP+IIkXH++efFZIArNBDYnraPciPso2xhAbXf2Bfr4rEVqldX9qcSKgjIK1SsUg3tv/iii2X82YEjLF6q/5xlLE8o86xCX3h0TF6D/IrFloDxry2s0MBII4W2pfaLZt4uHDjyatFGzWwWcP/fe++9wT/TR/P+oz4s2pPf+zTm8+/f/+/fqF3c36xsnM7hr0eMyFZfffUgA6fXBtLFbfwXmrCQ9J9rDjrL1ealA7WA+z/JN7XXjf6x1l9sfT2cq1EIcd962Ox/UnTgCJbuFotF/c+9zDn+7rn3HtDEDFkkTsewZxejPGzymcwnyp6eUVxG0CUITRaRkvIoHNGa8XCCxjjEwZxHA5zMdMghh2RfDPm8Ests6623An3j7KeffhL52JdSyv76pF+HCh2PE4ywI0M2esyYslrG8kWAlxLXMh5UMT6nV6gsrwShySJSUkUUmKmqP//882yVVVeR9jzx2OO+Zipr8qTJGfYLFAeMI3Uz7HyRvY2N9hl4GpWVw1v37NPPPhO8yd9qqxKdfaw6O+nXJwkd5R8nOqvCAQdjCk6lrKq+BKOyvBKEyY+KaJkSOmu/0fGEr53RVt5oGuNhgG0d+La29bXX0NZVVEd8MMCR3VYMqzOqs9VWWzVjexlqks+TFmlvzZs1z0bgBlQqv1L/X3nFlVKGtmqhQjMsS+Ka5FdSXMyrkvwCY5+Iy0QCA+mikq8HjlRlN8jJfMVaSqqIQn3N1WjVl/T2WwcsKv0va/LpG+zBmv7BwsLUf48Le4h/kAmyTITllbDg7N5WGuNYdV/V2u2fp4w1wMEKLJ/zd9ltt99uTdW4ZFwtzPZLBZL8Qn8k/VMdRaOQVBElNDGK/n8CDr3CL+Gw+aoMu1oU9GqJuAxxUyZPwWmYOu4+HjS44v2fcyOOIxz3nmGLWc+q9vFn8krjUvkUKBPlIruaipUUt6TFkeKMH98WDx02NBsyZAiOzbXKl/LPskmTJ2UN8RZ0//33D5m3w1mw4TzyUEN1ttZaa2V8apBgci2uIN8XRJ8GooCKAatvjMthK2uxz7GkxbOR3wenzGDfYEz4VitMAsmN8vmWfeLEiblYD/H4YXyQJ1Rx5hRMsPnmGF9+enR1Zjp7JugsE6PsuPHGcdEyeGG0PxaKj+3Q1gkBZfL5kIQ9EANegepsEAYHbQE7LeR5pncf88SeJk2aZHzYwHKVnI5QLf1/pX+jHE+USwr7pAksSQZ0AKQ/CzxqkU86a3+hTEgYX4t9hiUtBhcLZfzqSP5DDz2UHXbYYVnvZ59lpTVYHBAV2lNH8q19Eptcixcj+W+9/Vb2GXxeCAux/RMnTMSLhNFBtOoqKKmI9ynay3PP9c7wDUmFfCtrcSikQEAHANxyWIjmsf3hZD7cVPv0wRvlOJgIiyOZdSVfxZkAi30lLGlxkh96J+k/GIU3oZJ00JTPjmynJAtJK2uxp7CkxYFu8fe/PHmP9/N//OPv0pgyeykowRpoceX28xdk8uTLnDJ+8+h/VJLK5RYTYI91GvEyDr96pJAnNNEKFE8vi0eksCHISmGeMNe2TduYm7AkIhLp3npzoJs+fYbsR8nW8pesvn25JhU7Z3TZWuLvRn0vp9zt5zd757pdHHPIBxPkU165fCmICx/X81wiivLjypj8wM8qOg/tj+XviFNm7rv3PnfkkUe6Tptu5s4+71wc3HChW2nFlaQyrf0G3KXyV1l5VexioXVmW/mKhW158+233AzqrCtPr2Oogs76CbT1Vl5n2Ldw5Ncj3X6/1TXa3DkCbzAWSftj/XOzcaozBK9j7taxct5YzUbeu9yuDGGbbbbGeu1qbOEMHeCP4ecJP7meV/R0f/v734Gr5x599BEczoJ1zFGYbf9Dd7bstlT/wTbmsf/ffPMt7Lgy0pZU0fSw3hJLrfBRJ+2chxdUVdGOtcJ1LZ9cZ9t+r3+hxYX1yiuEirFuoMHyKXfIoYdaVUmOPKP1DSCqSFFn8mP7DyJmI3/8+Anuk08+cWPHjnFt2rZ1eGgss/9vvv7WDRz4Fmqu44svLzLqhAHN64Lde9ZaE/uhR+OvkvyvsFPN2fi+gLv+/AeH71gw/U+fMcN9/PHHTnZOAPugsTnUf23y77//v+6uu+5y7733nnwog+Vubs8995QqmHyrD9sUiZTEkCGfya841gAAIbtJREFUu+Pw8e/x3bu7v1zdE6T4wJnBCCXO/U+o/Gz0ryxKLKKCfOOn1qRXkc8LFUX5vn9Eb6a8BS1/Ubc/yc/7fzbjj6bCUGJti9T/sD5zMv5qtP+lsP/32Xsfd/Qxx7hr8d3ZCSec6FbkHMiP57LxPwftnzljJnYIu8t17rwFTjnmoWzmHKj9utJ/YfZeMluXZMlMPqIPOQACHJcRZJzj4YBSoGdP/fn7pRexPosB6A4dOmTrrtteE7jiIwnqUNbtXnB+j+yUU07JZYI+sGR5SwkyzvFwQAVASoVLAV1IBBICIQdAgIXCpySKc6ozbKSdnY312Ctg6cHvf39OgV9IxEVKOBuNvQm1NW0ssv76HbL2664LSBm8/prX2bnnZhf0uCA75dSTtXjgHwBjW5LPZA00cQ5IilQ+JVGcE+Nr4R0XAedrrrlGfoK94447sv323y+78467WFhknnrqqVmTlZrALs7LsJhf8KE2cyCfa5T5sydORPRlPeOQKlQmYAmEHAABFgqfQnQv1kthUi+/Juy3/75S/z332BNr7xtibWKLAr+QKDArJAIJgZADIMBC4VMSxTkxvsBBSoVLXKSEc6ABEMgABFgIfEqiOCfGkzDOk4J6KaALiYgoKg2SIlW1LOHqtlc36LlBtsEGG2RbbLmF2NAee+6BX7emez5aCh9hZRtuuKH4F3wUm+23737Zfvvtl625ZmvBcQlUpRBkAuBysA4d1su6Y6kTtmhUciFQqocefihbr0P7bJNfbBJVNnAosi+gC4kCneW8+867Wf0GDbIHHvhvNmH8eCxxOzgbO3asl2NULOrhgAqA8MUDXYa9yrPzzzs/klOkiTKMm7AtUvmURHFOjCenOC/i7NEDB74j+qff7xMtvTDKUBpAgCXTpySKc2I8CeM841qKroEmJgNJkcqnJIpzYjzlxXlM+1BAFxJGIXHIARDgOEeQcY6HAyoABb5FZjXQoETIARDgJD/XjCgl1oyHAyoAy5z+R/8wJmvRonl2xumnF9vOVEEthUSB1nK41Akfz2K55XCf73MkMqqIcUAFoMC3kny/9ELpaigWlYspKsF46R2hIzBUxHAWM2Nf3JTw9jn7GU6eAW9/xEFyDSsDafElcda8eTPB86O3MWPjnxeN27zJz0uLuLKL5Rd7MMfm+DmXzxurrqONS5eJFkQuKYc46aLOxovOquXGyBvK4YerzljwB8jAVmyis32gM2wrF/oy5zRv8vNSlGTc5rz9VqJYmqnywIckfshXv349WX4xc+YMECkHvL3Lxo3DpEDC3Mu3Bw5OlOM6eYaeq6Viikpwufyp+PgQv3xkO+24Y4EX144fcMABBVzM0SQyzvE5FGNzuFx+zCfmVYlTjIvL5fgcymUWuc7L+DeuFseyY+6VZcYUefs5tvCqvrBc56gjj8JYqMoeefSRSKfKFYdGyDjB/p5BPH8ibIAJaL4kKq5hEeaHuhtuuEE2CUuiLJDizTffzLbZZpusBcYh3nRknTbvLNnF0loixhkPxjk+hwzL70E6d948a9OmDXzvrHnyv8aVMX6VEj3IA7ivhOWbTEXn2Byf6580MYVnFXBxnsEWG22+9MJlr/V5rYRjTG1w3cq3ehj3YotybI5P8heX8c++i3uotC/jPIMtNlqLc3wOFbkbPvX/3PQ/1+jjrIrsrLPPht+C7kzhJXGOzyHqH1sRZ3xRtjbWPA8YMAClFpz+ZaIcOl3qEVUGoKZynEEWs001wdreOFcxhQKC8jQSRfQANaVXfgz27ahv4xK1wiot4qcIY2opxJ5GoogeoKZynEEWk0lNsAqIcxVTKCAoTyNRRA9QUznOIItZvCaYeZMmTcxwUAvBPMQFBOsREkWZADWV4wyymMVrglVgnKuYQgFBeRqJInqAmqrGg9FYTIjHhaIRVcCRVYxXaeWYmCjsesE3ykIa0QPUVI4zyOJSmTGeef379+OPRxl+EtLq+AKDB3+CtdeDPM6XkijiAFBTOc4giz27wDvGK7IcE7e/QCOkET1ATeU4gyxeXOVPnz49e+/ddzPswRl0c8MNN8gk8J+3/jPgrP2tW7fGrzH8Ejtv2Y8//pg9/8ILBZzlWszyY/Cgxgetv/71r1Fp5mTZHXfcnt1yyy2yU02rVq0wqcVEOS4sVB4hUZQJUFM5ziDGOJ0Kv7qtK2/K+ZDMvy2xa04xWIkIW4byCImqs8033zw7+OCDRbjm5AUMsphca4JVYpzr61CG8giJ8kycdCdt4vixt/qWa/GClM+GqZxcmkEWJ/mmo5p6O9bU3PV/0r/pNtehQRYv6fbHXaywRWzGF1Y62KKWAdRUjjOI8SWXXCIrC36eoC9YS3Wh1mYlNCXXMpRHSBRlAtRUdaZrlG1NhyztiNZ3ANRUjjNIY/oxvyJEQS6js0IAGAorHnWVGX/rZk6g9VwlMglStCAfH2qFfXUXhXxtDa/WRG2A1MW3JW+T0tVl+3O5cy4fSzywt7Vu1s3ysspwHvU/L/Lrqv1yEg8r4ENd9T+7zRuZj2u2vzJStWItXkP/9+8/QKi4JzbDPffd4+6/93731NNPq/0L1suUqG7l15X+pZq4WO00XnztH9tKuk6bby7V9l3jsK2kq79cfdmrXXA+Y8SIr2Ud+bHY250txAelDr8AuFf79HG777abNV1iabd8BA1KWcZb5Z7AaWz45cAddNBBkU/TYt27n+CtxDm8ncZ6RQgFk1h+0KowV82aME3lOIMYd+u2l8MbZXcY1o1fc8217uRTTnbLNeApnXGYe//Ldlx+2WVuMjf6h88N9YsgrYcqUGCvy7r0f/YdAllbHeL2ey3WOv5YzldNuCyp/k8qH7Rg2liw+qdiVd+mdUtbnORTE6Idb2R1af/Lgv55it71198g52uoInNbm137L7ywh1t++cY6NBaw/v1EGbK8IEoVkF83+Q+mpCaWr5kexR8TAaJtuuaaZZhFhOE8yvPzZhXIhBEvnk8Ak3woLjIa04/EvFBlSf91YX/CQ1Xq9QrV15H94Sch4XnqySe70xs2wvHaIxz21U72T61E5r2gx//fb7hBDt3Bl9YO3z9In5j8N3wfPfbYYw7fRbhR341yqzRp4tZcc02l4xX28cWXX2DivLsbPmKY+9P//cldfvkV4v++/GooJuANXNu2bWg4IK7B/wEvu+8qRWg/dgRyDz30sE9zYoeRDfvjRFF+jgBLsj30sENdI9iQysDEG0fXf/zRIFHd9jvt4FZeuQlrqgH06pM9W2/Pc+J/26+3Hg7+meWwfMVh7XbgJ/qS5vGyEPwPhdBGKI71Z1iY8pP/VZ0HvSf9J/uDDYiPq9vxL37NW5sOcVxnM/4acZIsxIjgJ+SRWO4pNfhf8JsT/1dJfj5RNgdPPbDCdNIGS5oXBKuIgYjzb6Elk1RCJyljYo22NGliOMlXpdk16b9gHmp3QTkAvCkini/786Vt8Ae+daT//jhtsN267VzvZ3vLEdx77bmX2wEnT0pI9p934gIc/3yL//vzznMXX3yRO+N0Hi/sg9d/P7z1Z7j3vnvdButvgLez17iffvypzP6wSb677PLLHPZzd9vghEjzdsNHDHctmjaHy/Q7RZAZMsv9HwRSpgUvfzSOpD/m2GO0DDy+2TPjEMCs297dHA4UAkol84qlPa5Bwwau82Z8e654KQNQUl5GuOlYmkQxHOl/dTlVrgoPBNFE2VhLrAlDWX3rSr6K0PtPUIGpdiHLtzYG1Sb5wc5MNwuy/01G0r+Maj/EVCumm6R/eWUY7FI0BeWIfszHzef809xPEJI7ZwqnlPIgWMuSCrFKhiAYwciylMRMG4LFQtBEkm/KSfpfOPZHu6OudSjUpf0NHzZM3k527bq9W3/99d2GG23kHnrkIbdXt73V6r39c/s4TqSxrhY1yeRN3tNPP+Wm4qdvhh/HjXNPY6kG1mhLWizEzAQ89CnZECAJAwww8i1HYqYN4eULUxIi1GX7heEilv/Y4485Ln/gtkGXYjmB6KOk/QNwTDy3adwb/dJh/Q7uoosucldhi7RK9jdo8CDwwFHqtgUh21dNrfFsVR+CgpEubT/MLGQjj6F16zWx1eN0h9043NTpU8UOpkk8TWDLa9q0qdBL9XHhVolvvfUmtpvs5Bo2Wk7yeJk8aZJ77rnn3HffjhL5E5Gm/Xz9zTeS5lacr7zyihvMtoSglbH+Z4yTfkJuDJh8waHYgrU//w7I+gxCF678uOUKJ/nWCYgXeP8n/ZdqINnfwre/aKKs3SFuSXqCjlOdp3qmvLv05YMQ5TXmu29LcfZu2cBJDu4OnltgG9NIYaG1sqT2JSJepEvyTQnUhldO0j+VodqYB/uzCUJd2n+//v2lTl25PtnbP47tdscdf5zDUZ5S2V633OKwfRneFu7tLsNEDlvdYK/fTdx+++7vDj/8cMf9cbkcYN9995OfwXGIT7J/mrw4gdDj0KX6ChkNvv/fffddd/TRR7szzzjDXXkFlkmAnPsY9+3XV/qFxoLjUd3777/vtsJeydidBDRVrs06bdxrr/V12CIu0CngXD/sVb5Bhw1c02areVTm1llnHTdm9FiH77BrtT/aACfV5tZs6JJRA6yp5rpq7O6CdcaEEcvfcljbrHlWB/N/nwwe7H76+WeHEytD+z/48EPXcZNfuH332dftuPNO7tVXX3Xrtmsn+3Wv1769++CDD9xGG2/k9tlnH9Bt4l586SVjKzHb/8P3o3GtknYJUpSak5l8xfjMCvq3EtIz8+T/Ywn+XgDUwpPvZS6y9if5YgFJ/zaUJE72b06A6liQ/icff3y/IcqXi4C4IJ9gyBH6kPL3JHvf4pkVItwQPA9jzs1qVUbphDnnqwKR9mVDjhQNqSRf9JH0rxbh7aoQzYX94QbOkJsY0kgQqzmFTJLOsf298OKLwpcf8tH+uTH6ddde6x7HWthNO21GTnjr960bPny4W3ONNdwN+KiBw2Tcj2Ml/+lnnsVG6rfjTeDX7oTux7nRo0e7kXgrqHOS1P9Rz/kOtChz02fNcEf/6leuPg49atmqpbvmr9e5q3pe5Q7Gh2pPPvGE9CM753V8sMcP4vRhBgfBZNXunXcGunNxIND6G/j1ud44pmIt8TsDB+KQHx5ok+u/bdt2bhYmycOGDpf+Zr+W+r9vRn3rxo0d50ahvydOmBDkR1bmwTm3P3sQ24oHDEkdnfsUh6vcfdcd7tTTfus+//xzd9mll+LN8WB30aWXyAFF3fbayz304IP4ZeNhKfLeO+9oXXgVhWbuyy8/x3kjVW5tPDBI8O3XBMgknbc/p7FqlLd/3vw/BVkv52/sF5583+JF1v4kP7cttQOmU/9TCwtj/FEOQrJ/J2uUaYL6lBK04v0uHB4g1ROuXmEeEz3ZSwYL+2AUPsm3CX6iTIfJLg58QZLkJ/0vMvvzpjtt6jTXU04kU5s9YP8DXMeOG+d2Su88F/Z/x+23u3twOhvtfLPNNnP16tV32OdWmPOjqy232BL8qtzlf77cTZg4CW/xfnA77Lyj+8tfrhGamZi8NV11Faybvd+ttNJK+Al+Jr7wXR4/07fWaoAqf7OQxp/2ml2r3NNPPuU++/RTasld2ONCiW3S1bTpauJzhuIkvRN/faIUugJvnK+8qide+sI38eEJ/3fbdReh026vkkkyJ8vbbasnP5r+Dzhgf3fGGae7x7HM45xzfi+yrEfeeeddvN3d2/0weoz0/5SpU1yzZk3d6i1b4e10X9emzToqQ5wgq6Il9Rr5yQr2NwDr30m3Nd6GW8De8wJec+11rnHjxu7u/9zjmjdrBltRr3sDTrDEvsvuscefELnrb7B+mfzHnnjccULdZKUVC+3XquWe29pvdbY6MG3tF9xc+P/eWDLCXwIo+Bt8+MpAXuGkRGQY9wUh39oyJ/pP8tk5wXDZVT5YD/nkXPR/0r9aXrI/2k7t/m9hjj/uVyRvsdSzwejF7tFNPrYOU2+FlJ/wyhCQTKXwQ4K/LgpJ1ETLkobHA0FEJPlJ/zQhMSNYhLc7i9W6aFQ0H1zq2P5atVzDbbrZpiL3gf/+N8jfdJNNMVHuqNViZeZS/gknnuBOPFEnYWFQgI/e5qWR2kS06c0333AzMYn+zUknQX7muKb0008+dSf95iSZ5LBS/fr3xQdk2zicwJaPJ1GOXAIujT81kQMPOhCqpJ4RTCkF/Tt8ZLmu+3akruP1hKH/tXMUK0ioue/rfYW5bfWnxlHlWrZs6Q455BB32223u9/+9jQ80DQKkrbYorNsN6d2W97/lCMmLd2IhJgGEj7W3iUR24FLZP8vvvSitCHsTOGbylr3w0d+e2Gyi834US5zA3HkPU7Cknoyv38/Pe5+2226WjOAzdybb7zpcNKfe/qpp5G2CU9l+VFBspRgqraWGt7nItIWSXOYKvH/b0H+I48+6tvv3Kab8peXahxtjx09TDfKzLNSfoaaX/lBxhzof0G0P8mnUaBPk/5FD2rdC2/8md4tTvLpWTK8UTY/Y07I0j4WtBEBp2mLNWU4slQ/nj/1ixiUM7ZMW0pwliFMIkKPV94+gchkaRxfPWchTfLtFketyP1V1eOvqk+5KugVi4Slfby0659vFOWtohlWQU9mb14ZiIwstjzDsei82D8nYJTAj/7IgFvK8e3zDjvsIPK+G/WdGzZsuDv22OMWiHxpsjQCtfBNtVjb5pGIrK0ax1fhMk/tX1Lkv/f+e64Jto3riDW+ccsJX3/99ei/rg7H0rtevW6G+kyR0BnAPMXWakquliEMkbC0j1WOTyDStHP/77bbMMkf6a7HtneGE86g4Ud6P477UepDXDUo+uLt8447bi/rsInrj/XzG260Id5st2BSGI/Fx6JHHnU0Pn7s7vbGW3CPRpXK5avM+Crk893/F19yieOfhbhteX1MD3Uv35pqsUpYeO03uRYn+RwSSf8yHqAGGw+x5RuONPNy/xHewgQCvKotVt5J/1ijrIHOPA98H6BB0JYASlbGIE28/RwmOCE3QsnVXpUykilQLMaomZvkm45EG0n/Xh3Lgv31w9u95quvHj6e6oePzTg2tsYbZLZ/yGdDRBv8Kf3sM8+Qt30ywvygSePPPInFop069z/DsItJs9VWdS+99Io77LDDCv4Pp+5hp4ne7o033pAHns8+w7IPXx2xYenBcMuXlNWWibnxfx3W64ClHme4c35/Hj5UPFN9csSxL5Z0MHTZsovEn3wy2P3447hgT0QOGTIES0Cau4cfftidfvrp7q7/3O06deqEj0b3wYem/7Sqi/2FBMol/49ew/80/qCG5H9kfCX/a57M4gXjf6nsReV/sPRCpGsFZPhrdXLnTq+Qp8RF+GRV2fokzVCWgEMxA+wHOVBgkAnbJN+r1CuC6ofiTGPqlfNU0j904dWxNNgfd0Hgz907YX2yhf79BmAS08ytt157oDLXqXMn/LzfyuHITlnOsceeewrp0tD+Jcn/dOvWDVvMXepOOfVU7EZyH/xXPGYd+quDrK/t3fs5/CKAvDBsDagb/9cXD1ZcRlEPH9ypENaDQeVwX2iuie+MZR8M/fu/ITHXMmuNM7fnHnvKKZFTJ091Dz70oPvww/cxyR+ANfBYqlEIbIfVnxmAfbK0/ZahMnI6w9OWw9Kj5P/T/Y92pMYCk/KA2F66//khpgpK40+sQi+5X1mY/gcHQHFVlxppbKoCx4ioqqXUFWmB5AOndXgNrDzXUo6+RjUUKqWWdCkt0kl+0v/SYn/T8BHZtGlTcfraKmWjNdk/7Hwhjf+xY8a4ps1xuEh0Y19S9c9dVFrgcJHk/9V4YhOq2Kc13K0q0gKZ7j/p/rO03H+i6d8yef/xE2UMagxsPrhUHPSxlqIbRAFdlhBOig2gB4qR0CT5Sf/J/tL4E9cQ/EWZUwGi1syoQEQXQA8Uo+R/qFXoJI2/NP5kaPjxEQ2mCKw1szJdKOKBYiRlkv2l8bc4+5+wRpmVZJBILrTm0hAsXm5XvOSrmUtpbeUOiPwEnAA5ZPL6BymODh+SfFVE0j/0kOwPSsjHhh8iHifK0VyQpPFXSU/UWPI/qhlck//1oyndf2gT6f6rIyPNP1QP4i31tqK33nT/5SihWkIIb5QNw2zqSeawnNDaWrIyAk9oeB9beUmGRABKqMuTRpnkQzdJ/8n+0vgrLpENDoLjo2b/ITlGK06vAnF58UCZ/A/1CwUm+0v2Fw8dG1MWl4yhAjokAlBCXZ40yjT+0vhbnPxPNFEOJsoeKrNgLmXWQ0PsgwxPgmJhLZawMD5lLAKiMoVhLQ7kAiT5Sf/J/jgu0/grbP4Id5H8j/fY4jor+8/Ym1amMKzFcQnoOPn/dP+Tn32T/0n+J/rYEu5iWfC/YaJcdI+WsrjoNC0VcgUIKctGbDjGDHqjD5q1bOREYJQqYskhDiFXgJCKSAzHmCHJF02bZZt6oJkIjFJFLDUYh5ArQEhFJIZjzJD0n/QPW0j2F4aCvZOwkaLjxFIWK7b0GnIFCKmIzHCMGdL4S+MPtpDGXxgKafypZzBPUUwVsZqXX0OuACGVE4RZBfMYllz/U0+bwGckBGuPWQ/igGK+hBwjZUghAGgtK8RKIQMz8ALOoxkraZIvKjG9RQoKKFN/1COqRlAIkPSf7K9kiPKGyCCxjWXgPDqNv+R/kv+VAaJDIjjbfIAElAwkpTVQqZL/TfcfWkS6/y7N9996+l0dhjw9gvkH8wTa/ZIyh+GntDmF3YxJq8yUDwqErBK+ykuvST5VmfSf7E/NgNYQB5vepvGnWkn+p9SZ5unkf/0ooUoApvuP9yS5iQhCtaTXdP+lSqAgqqNET5oTa4tkJUTByFA8zX+oMtUj1BZUU6oyIVqy7E+WXlS0EUNqe6RppTaiSE+Ix4kMa5hKdOJJQCMZFXMr22iSHwxOlYhrRfUl/Ytikv2l8Zf8Tw0uIvnfdP/hXaTiDSTdfytpJs0/0vyDw4V2gCDbw1UcPh4pTwWE8efLAOCCfgueML5JWSZiAeUjAGPoMy1PWRuzPDZyxv7Pl0zyk/6T/YWR4gdKGn/5NMAchfmY5H+8E0UE3yHBdJPnKN6uyf+qmtL9J91/0/xjmZ//hY/5zD+GmP7UO8uAA1BAe5+b02muXAuEOYeIIkdWgmot7wuQhiHUM+Jea/kaMpWbXmsgKaCZYEjyVQ/eOkRHBUX5bESKriEzJzPCGCNwoSQTDEn/qodYuwVF+WxEiq4hMyczwhgjcKEkEwxJ/6qHWLsFRflsRIquITMnM8IYI3ChJBMMSf+qh1i7BUX5bESKriEzJzPCGCNwoSQTDEn/qodYuwVF+WxEiq4hMyczwhgjcKEkEwxJ/6qHWLsFRflsRIquITMnM8IYI3ChJBMMy4D+w4EjbK++bLDWE5MHw3IZTnifTAXZuhzBqsbkKhcrxVj/FK10lmtSknxqolQrqh3DJv0n+0vjz48GupHkf9RBJP8LDeh9Ra5yMa/JWP8UrXSW6xWY7n+ikFKtqHYMm+4/6f6zLN5/8Ea5GmNAHUdwGB6IfQ1P86m0AlkHUJRHhNy89DOkcB8rijBRiKVAlFYMEUm+Vw+jpP9kfyXjlGMkjT/VQvBNyf8k/5vuPxgU6f4bXAFdRJp/UAsVQpp/lRqH3lM91ifC0gtVV6y0GI70KwVxkXV/JXgYY74xPfOEGLG3UmEpl9IcP13WPOUaw4qRK9GkTvIjpahKqOakfzy0BdsQY4Fykv2JsciQkksaf370eMtI/kdGidqGqiaGvbIYEZ38b7r/BB9Le0Dw5pLuP+n+szTef8NE2Qy9YPRA8k2NjgFc+WWf3VmEECisl8gV45Exk4DyI6liHpAVsvmKP8lP+k/2x2GXxl/yP8n/pvtPuKHqnTTdf9P8o/ShpeIcq8IEKzalCtlp/hXNPzHRpYoKIdaZZJQgNFlESqqIQlFTtbKPJ9VlpFENyvJKEJosIiVVRCX5Sf/+USvZHzWQxl/+UF/mKtRE5FqWV4LQZBEpqSKKGk/2J686VLnJ/pL92Uu1sqGSxl/QQJluShCaLCIlVUQl/1OH/lfeKBfdeegvD5j2La4JneeX8eNcvOJTj/Iqoy9UwfhanOSLBkwdFsMo7HV/mT6T/pP9pfFX8Cpxomy8xJlhXOXjS7ItaXGgK50egzqNvzT+0vgrjKo4kcafvrmMdZLD5mAs9jmWtDj5HyhGlzuU2VMd+F/d9SIcoUInz6BXBf1aC6FhFXywJRgVvtYLH9Z4Uh5EUghgEvgwI8kP6lG9RNox3ST901ByuzGTSvbnbccUQneRw8xM46+oDxpRNMKS/zEfIyNMLIYXDZaX/A/0kfxPGDc2pJL/9QPFFJL879J4/9EDR/I+1lusOUeagA0EoSmqQAcNMkpvPHYbEgI+LVkIw8zjPIecIMmnqpL+zWCS/aXxp7aQ/A/0kPxvdKvwdxlg0v3H7rjeb/r7rETp/pvbjNeLjCSqStPxezyhTfdfb0dUlNeZKGbZ9T8yUTbzsTia2VJT0SAMFGJkwQChTIXxxC0kPuWVG2ldeQGvnKyUUgTuivbFkvygl6gnqMGgpqT/ZH8yWtL4S/6HhuD9qkTBSwje3HPyv5GeCCIEPxurDLoM+AhK/jfdf4KZpPuveZyldv6nb5S9A9CHh9wtEM1U7ipyKBomoDGTQWyglCu4HyY0G0wjMsAqM8kv0VfSf7I/GTM6PuKRmI+5+Jadxl/sWNTHmO44tpL/EZ1AJcn/qj2oTaiNpPsPtRGNF4BM2f05hpL/yUdQrgvgcrQHI32KLlXFEVnQb7I/6GYxtb98ezjWca6DDiMpZqDFEa8YxVVefIEvuDgjop9zMGJgoMURkxiV5Cf9J/tL4098QuwYIn8x52DEwECLIyYxKvmf5H+S/0n+R3xC7BgifzHnYMTAQIsjJjEq+Z958z/6MR+VSm36IKD+hmmoPF8zgVeVWzld1oNMfSwSemMpT0+en61yEVz8WGXEwpmXCMFaWFJiXpJ8drnpJenfG0myPypC7MKGTBp/1IdqI/kfdbpyVVDMxfyIN52gL82k/jwkMS/J/yb/CwPydpHuPxwfUEa6/6ijgCq8aXCWgoSmllT/G71RZkNiz6kNLWJUB4UrFQLjMAUU8pgoZRunY7iMsLxoGW/PP8lP+k/2V8NILYyxkvFYyCskZKiVYyqMQBCl8ZfGXxp/afxV8A7lN/HYqcRwuv9DfUUbKqinonKBTP53odx/8jfKvpP4nkADnb/BxV4SrGWhb9VJGoKdF8HIt5TETBuiYBeaSPJNOUn/yf7MFtL4izUgWjHVwG0k/0PfaQpJ/je/wUAXUI1pRmKmDUG1haCJdP8x5aT7T7r/mC2EQSKAYC0Lw2ZZ8L/RRFmVIY0WJdBxeE9iSvH6kl8X7CcGc0N+SxUtinJRGeEC7+S5BbYxjWetSk/yve6T/sUuIltiOtmfKYHa8MpJ44/KUG1wv6fIZpL/oWKS/033Hxki6f5rhhD5CK+ZNP/gLE30QiV5RZXoaVm8//5/NxnJenztg8wAAAAASUVORK5CYII=)
And,
![](data:image/png;base64,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)
Where σm and σl are residual stress in ZTA matrix and LaAl11O18 platelets, αm and αl (αm = 8.7 × 10-6/K,αl = 7.7 × 10-6/K) are thermal expansion coefficients of ZTA matrix and LaAl11O18 platelets, respectively. νm and νl are Poisson’s ratios of ZTA matrix and LaAl11O18 platelets, Em and El are Young’s modulus of of ZTA matrix and LaAl11O18 platelets [23], fm is the volume fraction of the ZTA matrix, Δ T is the difference in temperature over which the stress is locked in. From the calculation of equations above, the residual stress of LaAl11O18 versus temperature is shown in Fig. 4(a), and the compressive stress in LaAl11O18 platelets is 689 MPa, while the tensile stress of ZTA matrix is 28 MPa. The thermal expansion coefficient differences between ZrO2 (10.5×10−6/℃), Al2O3 (8.5×10−6/℃), and LaAl11O18 (7.7×10− 6/℃) impose compressive stress on Al2O3 grain boundaries, which strengthens the grain boundary and leads to more energy consumed when crack passes through flake-like LaAl11O18 grains (Fig. 3(b)). As a result, the fracture toughness of the Zr4+/La3+composite system would be tremendously improved [24]. A schematic of the interaction between the propagating crack and the LaAl11O18 grain in the presence of highly localized tensile or compressive stresses at LaAl11O18 grain surface is shown in Fig. 4(b). It can be noted that since LaAl11O18 grain are placed in “hoop-compression”, the crack would be attracted to pass through them, and thus result in transgranular fracture. Due to that more fracture work would be drastically consumed when transgranular fracture occurs, the fracture toughness of the Zr4+/La3+ system would be thus drastically enhanced. Therefore, the effect of residual stresses on the fracture toughness was confirmed by satisfactory agreement between the theoretical calculation and the crack path characteristics determined experimentally above.
To explore the contribution of residual stress on toughening of ZTA composites, an empirical equation proposed by Ramachandran and Shetty [25] was introduced to describe the measured toughness enhanced behaviors,
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)
Where K∞, K0 and λ are adjusted parameters. In the case of the present ZTA and co-doped ZTA, K0 is the intrinsic fracture resistance defined as the fracture toughness just to start crack extension in the absence of shielding. K∞ is the steady-state fracture toughness when a steady-state process zone has been developed behind the crack tip, and λ is a fitting constant while c is the crack length (the sum of a and l.). It can be seen that experimental data can be fit well by Eq. (4). And the values of K0 and K∞ were 5.53 MPa·m1/2 and 17.76 MPa·m1/2, respectively, which indicate that residual stress contributes a lot to toughening. That is to say, the measured fracture toughness values under the different 4 loads could be fitted as a rising R-curve behavior with the steady-state fracture toughness of 17.76 MPa·m1/2. The enormous enhancement of the crack resistance versus the crack size could be attributed to thermal expansion misfit and flake-like LaAl11O18 in the Zr4+/La3+ system.