Maths-
General
Easy
Question
Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?
Hint:
1. Cost of bracelets = (Fixed charge per bracelet × number of bracelets made) + Variable charge
2. Variable charge = Number of color strings × Price per color string
The correct answer is: Madhu and swetha should be using 9 color strings in total to make the same amount from the bracelets. Also, since the given situation has only 1 value of x that satisfies the given condition, the given situation has only 1 solution.
Step-by-step solution:-
Let the total number of string colors used by Swetha and Madhu be x.
Now, we know that for Madhu's bracelets-
Variable charge for Madhu's bracelet = Number of strings × Price per string
∴ Variable charge for Madhu's bracelet = x × 2 .......................................................... (As per given information)
∴ Variable charge for Madhu's bracelet = 2x .............................................................. (Equation i)
Cost of bracelets made by Madhu = Fixed charge per bracelet × number of bracelets made + Variable charge
∴ Cost of bracelets made by Madhu = 3 × 5 + 2x ............ (From given information & Equation i)
∴ Cost of bracelets made by Madhu = 15 + 2x ............................................................ (Equation ii)
Also, For Swetha's bracelets-
Variable charge for Swetha's bracelet = Number of strings * Price per string
∴ Variable charge for Swetha's bracelet = x × 3 .......................................................... (As per given information)
∴ Variable charge for Swetha's bracelet = 3x .............................................................. (Equation iii)
Cost of bracelets made by Swetha = Fixed charge per bracelet × Number of bracelets made + Variable charge
∴ Cost of bracelets made by Swetha = 2 × 3 + 3x ............ (From given information & Equation iii)
∴ Cost of bracelets made by Swetha = 6 + 3x ............................................................ (Equation iv)
As per the condition given in the question, we need to find the value of x for which the total cost of bracelets made by Madhu and Swetha are the same.
∴ Equating Equations ii & iv, we get-
15 + 2x = 6 + 3x
∴ 15 - 6 = 3x - 2x ..................................................................................................... (Taking all variables & constants on either sides of the equation)
∴ 9 = x
Final Answer:-
∴ Madhu and swetha should be using 9 color strings in total to make the same amount from the bracelets. Also, since the given situation has only 1 value of x that satisfies the given condition, the given situation has only 1 solution.
Related Questions to study
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
![](data:image/png;base64,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)
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
Can the triangles be proven congruent with the information given in the diagram?
![](data:image/png;base64,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)
Can the triangles be proven congruent with the information given in the diagram?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAj0AAADlCAYAAAC4Y0ZqAAAgAElEQVR4nOzdeXxM1/sH8M+9M5NJCNEsxL7vraK1lDa1pq2lpaXWr2pRX18/Sy0JQRFiC42qqlK01F5aEsQWFN2V+ra09qitYgmRZWbuvc/vjzjHnaBfJWSZ591XKpLJ5CbuOfOc55zzHIWICIwxxhhj+Zya0xfAGGOMMfYocNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDDGGOMMY/AQQ9jjDHGPAIHPYwxxhjzCBz0MMYYY8wjcNDD2ENgADBAIACgmx8AYMCAAT3nLowxxjwYBz2MZSfKfDNA0GDAAMmghwxAgw6Ngx7GGMsRHPQwlp1IxD0EggKC4vZJBQoAJfOBjDHGHilrTl8AY/mLjsyARgFBhSH/lvmmgsMdxhjLKZzpYSxbaVAUC2ywgKDAIIAUACoBSmYIpEAF3DJAjDHGHgUOehjLRjqlY+7c6RgbNR4pN1KhKAApBCg6AP1mwMPNjjHGcgL3voxlI0NLx+pVKzBv3gLcSE2/9QlFA2BkTnMRZ3kYYywn8JoexrIR6RmwW1X42H2gG7cWNQM6oChQeEEPY4zlGM70MJaNDHIhc386YBiiXs/NwIdkFMQYYywHcNDDWDZSFQOKSiBFgXFzGotu/seLlxljLGfx9BZjD8yQ7yk3Uzu6xQZNVWABYIUBA14wFBushgKFDEDl8QZjtzPwv8biRPeWKlUUHmSw23HPy9i9+p99rWGqyGyBoYi9WgYIVhhQbz6FqN7DGGPsUeKgh7Fs5R7MKDf/n1mdWXyE6/QwdmfcLtjDxUEPY9mKACXzTSW6uUVdfga8W52xv/N3DYR3AbAHx2t6GMtmClHmG9y7cAOAoQAqrzVg7B6Ygxzzn5wpZfePgx7GHoh55KlAgQ6rzQJVBVSogJG5d12xKtAMwEKAlTtsxu6ZpjtvvkdQFRWa5oLF4gVVVeViZcMwoCgKNE0DEcFisUA1bRbgRc1M4KCHsWxERNB0F+jmcaOqmrmGxzAIFlXJLNVDPE5l7F4QCBZVhUE6NM0F1WaFQQQviwWpqan4888/4XK5oKoqihYtioCAAGiaBsMwYLFYMp+DSO744uCHcdDDWLYhkFWFy6VDgRWaywnNqUOBBl1RkKEDVgK8rAoUDnsY+58UEDRDh6pmnl+nKBZoLhfmLpqLFStW4JtvvoHL5QIA1KpVC61bt0afPn1QqlQpEBEURYGiKDCMzLISHPQwhe616AFjnu6O9QXN6w4MuK7/Fx0798K6+IOo+mQjFDTSoFI60mCDzTcAgwYPwpuvv/xIL5uxvMmArruQeYSLAYtqwekzp/DO4DCsXROHalWroe5TdVGsWDHcuHEDP//8M/bt24ennnoKS5cuRdWqVWXgw5keJnCmh7F79T/7SwUWnwA8Xqsufj+ZDj31GtLgBMgF3UJwXLkEw5nxKK6UsbxJDiwygxRVtcIwXCDS4HBkYEb0e1i7Ng7d3ngL06ZORoliReWXpqRcx4TIcYieHoNBgwfjiy/XwW63yRc5Rbk1PFHkYCXrdgOW33Gmh7FspYN3lzB2f8gAoGiAYkAxbAAp0JECiyUd+/fvR/MmHVCsfC3Ebd+EEgGFQboOL8WASi6oFhUuRwZebvMytiTsxdLYbXi1VVNYiUC6E6rVCgOWm/u/dKhwIXPcz2N/T8J1ehjLVhZwwMPYgxLn1QGKktmmvvnmW1y9fgM9e/wLJQIKQ6PMRymqJXPbgOaCze6N7p1fhWEY2PvND1CQuXFALGrO+j2Y5+GghzHGWO6h3KpdDgCqYgNgwa//PQJvS2HUrlED3gBsIKiKFTpUGIoVqtULIBeqVKmAwt4qTp8+hTRX5s6tzIXMSpYwhzOynoiDHsYYY7mIaeWNAQAW6LqOC+eT4Ofrj+DAgMwMjq7DIAMaETRS4XIZgGJBsYDH4F+oMM6dPQOHwwWrRYWu6yCDTCEOBzyeioMexhhjuRIBMAyCoRsAqbBYbPCy2gC4YIUBi6qCjMxdWYpqAYigZzjgZVWgqoDNpkA3dFitFreFzJk46PFEHPQwxhjLlVQFUGDAavWCXxE/pKbdQFLSJQBWEAHQDViVzKNfNJcLIBUXk1Nx8co1lCxdElabFXKXunKrwAThtgiIeQgOehhjjOU6hJuly5XMxcply5bA9YxL+P34SQAKFIsNIANeCmAlAwoRoFhwPPECkh0GypYtC7uqQFEAXdfuEOSofAKwB+KghzHGWC6i3Py/AoMIBmkAMtCgQR0oioa4zVuQ7NChGwZsCgDNAVV3QgGQkeHE51/EweJVECHPhwDIPIZCVdXMnV7iWxBuBjwc9HgaDnoYY4zlHjezL4Sba3VggJCBeg2eRuMGDRG7fh1mzl4Ap06wWK1QbN5Q7D7QnA5Mi34Pm+I34+XXu+HZxg2gg6AbWuYUF89oMXBxQsYeWNYmJLbIWiwWOcrUNE3+XZwHxBjLggAoBjKLfFoBUqDpaVBUByxqAWyM24I+/xmCc3+exEtt2uK5Z+qjSCFvXE2+it27v0H81u0ArFi1Phavtn0xs1Qo6Zlb1hUVUDLr9WQeA3xzDxc3RY/CQQ9jD8h8ro+maXA6nbDZbLDZbEhNTcXVq1cRFBQkAx2LxXKXYmmMeTrjto9ompZZbdnpgt1ux549e/HRnI+QsGMHLly4IB9X68knUaliRXz33XfQdB293v43+vTpjRIlSsG4uYPLPJtlDnyY5+Cgh7EHIDI3gqZpUBQFFosFBw4cwOjRo3Ho0CH07t0bERERcDgcAAC73Z5Tl8xYLnZ70ON0OmG1WjNr7RDBy8sbuq7j5MmTOHbsGHRdR6FChVCjRg0EBgbiu+++w7Cw4di7ew9KlyuH2R/OwUsvvQhDNzIDHxOu1uN5OOhh7D5lPbnZMAyoqgqn04nFixdj1KhRuHjxIipVqoRr165h27ZtqFGjBgDAauXzfhi7nXvQI6aKRdtSVRW6boAIsNlsbo81DziuJl/F6i/WYs6cOejRsycGDRggt6ubWcHTW56Ggx7G7lPWoAcA/vjjD0RERGDt2rUoU6YMJkyYgMaNG6NNmzaoWLEi1q1bB1VVeU0PY3fkHvTcCngsAAi6rkNRVFgs1ptHS5h2ZxG5rZlTVRWXk69CURT4FS4MIkBV3dudAoUzPR6Ggx7G7gFRZocrRpuiwzUMA1arFU6nE59//jnGjx+P06dPo3379pgwYQJq1qwJAFi1ahW6deuGBQsWoEePHnC5XFDVW6sJeI0PYwCRftfPKYpyM6hRIV61xODBPAAR7xvIDIDUm/u/sk5FAxz0eCIOehi7ByLosVgsmQsrVVUGKsePH8f48eOxZMkSBAUFYcyYMfj3v/8Nq9UKl8sFq9WKtLQ0dO3aFYcPH8bevXsRGBgon8/lcsHLy4uzP8zj3Snoub1d3Ft9HRJZI7r18Kyvdplb4rndeRJeuM7YPVAUBYZhyHUDIkuzZs0avPTSS1iyZAnatm2L7du3Y8CAAVAUBQ6HQ446fX19MXbsWJw/fx6zZ8+WXy8yRSJzxBjLDpQZ4RC5va8g6xvzNBz0MHYPDMO4uZ5AgdVqxdmzZzFgwAB06tQJ165dw4wZM7B8+XI8/vjj0PXM0apYrCzWGtSpUwdDhgxBTEwMfvnlF9hstpsLM3W3qS7GGGMPB09vMXYPRCBjsViwceNGjBw5EgcPHsSLL76IKVOm4MknnwRwa+ElALnNVqTnVVXFlStXUL9+fVSrVg1xcXFyqkx8njFPlq3TW6TBbb9W1i8hBYpiuafnYvkH97LM44lMjPl9XdfhdDplbRCLxYKrV69i0KBBaNeuHU6ePInp06dj9erVePLJJ912jlgsFpnlsVgsbjtL/P39MW7cOMTHx2P16tVyaosDHsYARbG4vREBhkFIT3fA6XQhczxxa/GyrutwuVx/81zWW2/I8qZYwQGP5+FMD/N4IjNjDjw0TZOBipeXF2JjY/Huu+/iwIEDaNGiBaKiolC/fn0AQNatsndCRNA0DTabDenp6Xj11Vdx4sQJ7NmzB0FBQRz4MHYXDodDlnmwWq3Yt28fJkyYgLp162LkyJEgIthsNt4IwO4J97KMwT3bA2QGQDabDcnJyQgLC0O7du1w4sQJjB07FmvXrkX9+vVlFkgELHfrdA3DkB02APj4+GDixIk4ffo05s6d+0h+PsbyIhHQiOzpnDlz0Lp1a8THx2P69OnYu3cv73xk/whnepjHy1rjQ3SgCQkJiIiIwPfff4/69esjOjoaISEhICI4HA54eXnJr1MURa7fuVPGxpxNEt9v9OjRmD17Nnbv3o1atWo9ih+VsTxFtMdTp04hIiIC27Ztw4ABA9CgQQO89tprqF69OrZt24bChQvn9KWyPIIzPczj/F2crygKbty4gfHjx6NNmzY4cOAARowYgY0bNyIkJEQuVBZBjghwRFXYO404RTAkDiQVjx86dCgCAwMxduxYuVBafI7HIiy/u9M9Lu5980Bk9erVeP7553HgwAGsWLECo0ePRmhoKEaMGIEff/wRM2bMcPtaxv4OZ3qYR9F1HZqmuZ19pWmaPAD0+++/x4gRI7Bz507UqVMH06ZNQ/PmzbM1fS46Z1VVsXz5cnTr1g2ff/45unbt6jZlxusUWH4mykBYLJbbBgZ2ux0pKSkICwvD4sWL0aVLF4wbNw7BwcEy+5OWlobXX38dO3fuREJCAp555hm3wQOfb8fuhIMe5lFEgUFRJdlut8NmsyElJQULFizAhAkTkJqaigEDBmD48OEoWrSoXEiZ9YDDB70OAMjIyEC7du1w7NgxfP311yhevLgMirLz+zGW22ia5lbhHLiVMd21axeGDRuGK1euYMKECejcubMMjoDM9uPl5YUDBw6gadOmqF69OjZs2IAiRYrA5XLBYrHw0S7sjnh6i3kUcXyEYRjw9fWFzWbDL7/8gg4dOuCdd95BmTJlsHLlSkydOhVBQUFyO+zDyPRomoYCBQogMjIS586dw6xZs+SaIIvFwql6lq+JNiWqnVssFjgcDkRFRaFdu3YoXbo04uPj0b17d1nE07zmTtd11K5dG1OmTMG3334r2w/w91PYzLNxpod5FDG9Zbfb4XQ6sXDhQkycOBGXLl1C3759MXz4cJQqVQoZGRmy5o5IwWdnutzhcMBqtcqs04gRI/DBBx9g165daNCggfyejOVX5lPSLRYL9u3bh3feeQc///wzpk6din79+gHIbLOi0KfYCCC+Vpxd17VrV2zYsAHbtm3Ds88+yyUg2F1x0MM8hnlx5OHDhzF27Fh88cUXICJ06NABq1atkguUxchTfM3fbUm/n+sQ02wWiwWKoiApKQnPPvssSpUqhfj4+DvuDMvOa2AsJ5hrWgGQZ9R98sknmDRpEkqWLImYmBg0btwYAGTwYl4HJzYTWK1W+VxHjx5Fy5YtUbx4cWzevBmFCxe+bUE0tx0GAJZx48aNy+mLYCw7mDs48XeREhcdpsvlwtKlS9GrVy98++236Nq1K9544w0sXrwYTzzxBCpXriyfQzyfCH6yM+gBMhdaiumsQoUKoXDhwvjwww8RGBiIhg0byuBI7BbjjpvlVSLIF++L7E5iYiL69u2LOXPmoHfv3vjwww9RrVo1t+mprPe+uSyE+FhAQIAMmHx8fBASEgKXyyUHFuY+gHk4YiyfMAyDDMNw+5jL5SJN04iI6OjRo9S5c+ebxy6DZs+eLT83YMAACg4Opv3798vn0jSNNE1ze47svFZd192ePy0tjVq3bk1FihShX375hYiIdF2Xj9V1PVuvgbFHRdd1ysjIIKfTSU6nk4iIli1bRsHBwVS+fHnasGGDfKzL5SLDMOSf9/r8mqZR//79yW6309dff01ERA6H46G0X5Z3cdjL8o2smRAyjRY///xzNG/eHEePHsWqVatQoUIFXL9+XX5++vTpaNy4MV5//XXs379fPo85vf6wrlnsNMnIyEDZsmWRnJyMCRMmwOl03paiZywvEhkWm82Gixcvonfv3ujduzdefPFF7N69G61atZKZGXMW517bnZiOHjNmDCpWrIihQ4fi+vXrbvWzzNvZmQfLyYiLsYctMTGR/vWvf1GRIkVoyJAhdPHiRSIiWrp0Kfn5+dGWLVvkY69evUqtW7em4OBgio2NJSKSGZbszrKYR7AZGRm0fv16euaZZ6hUqVLUvXt3KlCgAC1atMjtGjRNu+eRL2O5icvlIqfTSV9++SVVq1aNSpcuTQsWLJDZ1JSUFNI0jXRdJ6fTKbM893q/i+cnIoqPjydvb28aNWoUEWW2NafTyW2HEVHmKJKxPEl0mES3gghzcBIbG0uVK1emmjVr0saNG+XjxJRS7969qVKlSvT777/Lr0lPT6eBAwdSgQIFaNiwYZSUlCQ/Z/4eokMWHzMHJFk716yPM9uyZQu98MIL5OfnR127dqXExES6evUqlStXjkqVKkWJiYlElJmm506b5VbmoNzlcrlNyxIRXblyhd555x0CQC1atKCDBw8S0a224XA43AYX4nnulfk5iIhGjhxJiqJQQkKCvD6eHmZEHPSwPErM02uaJkdxolO7ePEi9e3blwICAqhfv350/vx5IiI5ihTBQ1JSEr3yyiv0xBNP0OHDh4koMyhxOBy0ZMkSqly5MlWoUIFmz54tM0SCGJWaszDi+2fNzGTtbM+ePUtLly6lkJAQCgoKog4dOtC3335LREQ//fQTtWzZkqpWrUpBQUHUt29f+QLA6xJYbiTuc/P6NPN6nISEBKpbty7Z7XaKjIyka9euyaAou5jbHhHR+fPnqWHDhlS7dm26dOkSBz1M4qCH5UkiqDAHG0REmzdvpho1alDVqlVpzZo18uMul0t2xOYg5cKFC9SiRQuqVKkSbdu2jQzDoPT0dCLKnBoLDw+nYsWKUY0aNWjIkCF08OBBunLlyj/qsG/cuEEnTpygVatWUffu3alGjRoUGBhI/fr1k8HOmTNnaODAgVSsWDFq3749HT16lDZu3Eje3t60bt26fzzyZexREQGPrutuwXlqaiqNHTuWfH19qVatWrRt2zYiysym/pNFyvdC9AFOp1O+//3331OhQoVo4MCBRHR7lpV5Jq7Tw/IkUZxM0zR4eXnh4sWLmDFjBj744AN07NgREydOROnSpZGeng5VVeX2cLq59Vyc9WO1WpGSkoL+/ftj7dq1iIyMRO/evd1ObT527BhWrFiBuLg4HDx4EKVLl8YzzzyDihUromTJkihatCh8fX2hqio0TUNaWhqSk5Nx9uxZnDx5EgcPHsThw4fh6+uL+vXrIzQ0FK+99hoCAwNx7tw5zJ07F5988glKlCiBYcOG4bXXXoPNZoOu6xg4cCC2bduGPXv2ICAggLfcslxHlFRwuVzyvLj9+/dj2LBh2LVrF/r06YPIyEgEBQXJ7epig0B2FuAUzy3aiK7r+OCDDxAeHo64uDiEhoZm2/dieRcHPSzPEgHMjh07MHr0aPz555+YOHEiunbtCuBWeXsAspAZmXZCmQv+aZqG6dOn48MPP0SlSpUwevRohISEyINIASAlJQXHjx/Hjh07sHXrVvz111/IyMiAy+WSz2e1WuVuL19fXxQtWhQNGzZEkyZNULlyZQQHB8PlcuHHH3/EokWLZCG1QYMG4fXXX4efnx+ICA6HA3a7HUlJSWjWrBmaNGmC2bNnP/pfMmP/g2hjqqoiIyMDCxYswLvvvgsfHx+8//77ePXVV2XBT13XZZvKzgCeTHV4xPt086iXtm3b4vjx4/jmm29QrFixbPueLG/ioIflCeaOVRzRkJycjOnTp+Pjjz9GixYtMGnSJJQvXx6A+3Z1ylKUTAQ75r+LIyZ+++03jB07Frt27cJTTz2FPn36oGnTpvD397/tmjRNw5UrV3DlyhU4HA55pITNZkNAQIBbB5uRkYFjx47hyy+/RHx8PA4dOoTHH38cb775Jtq3b4/HHntMXqvISInriouLwxtvvIGVK1eiRYsWcDqdboeR8lZ29iiJTI35DCybzYbDhw9j5MiRiI2NRYECBVCrVi1s2rQJhQsXlkU2xbl3QPZXOTe3eVVV5cDhyJEjCAkJQdu2bfHxxx+7FR1lnoeDHpbriU5WdJqqquKnn35C//79cebMGURGRqJHjx73fSp51jOAiAg7d+7EggULsHHjRvj4+OCll15CgwYNULt2bVSvXh2+vr5/+5yXL1/GoUOHcOjQIfz3v//F3r17ceTIEZQrVw5NmjTBq6++iueff14GW3c6a0vTNFnHp2fPnti/fz+2b9/uFiCJYywYexREtkZkNr28vEBEWLx4MUaPHo2MjAxERkbi+eefR7t27VC/fn0sXrxYnmFnzsYA2Rd4mLM7oj2kp6fDbrfDarVi0qRJGDVqFFasWIFOnTrJekA8Xex5OOhhuR4RweVywcvLCzdu3EBMTAxmz56NevXqITo6GtWrV5cd8f12Yi6XS3aCIsPidDpx+vRpJCQkYM2aNTh9+jQcDgdcLheKFCmC4sWLw9/fX45eU1NTceHCBVy5cgVOp1NmfUqWLInmzZujWbNmqFy5MgIDAwFkHjoqAjURwJhpmianA06ePInQ0FB07NgRUVFRbqX8Oehhj4oIeoDMQoOnTp3Cu+++izVr1gAAPvnkE3Tp0gUAsH37dnTo0AHdunXDzJkzZeADINsDDvNhpIKiKHA6nVi6dCkmT56MlJQUBAUFYdu2bShatKjboaXMc3DQw/KMAwcOYNCgQThy5AhGjBiBt99+Gz4+PrIjvd/OS6TqRUbJvNDSnD26fPkyjh07hhMnTuD8+fNISkrCtWvXkJqaCpfLBX9/fwQFBSEgIADBwcEoV64cypQpg6JFi8rnMI9IRacrsjlZgxfxc4lgbvny5ejduzfWr1+P5s2bP3Cgx9g/JTKShmFg6dKlmDBhAnx8fDBp0iTMnz8fN27cwMqVK1G4cGHYbDZs3LgR3bp1Q/v27TFhwgSULFlSDgiy8yw50ZbMB5Hu27cP48aNwzfffIOwsDC0b98eL7/8Mpo2bYoPP/xQZp24/XiY7NwKxtjDYBgGffDBBxQYGEgtW7akn3/+mYhIFkET5+vcbx0O8zk/5vOwzOf2PMh2ccMwKCMjQz5HRkaG21b7O9XyISK5BdjhcMj6QV27dqV69epRcnIyEfE2XPbonT17lt58803y9/enAQMG0LVr14iI6Pfff6fixYtTr169ZLFAwzAoPj6eKlSoQPXr16fvvvuOiCjb6/SYn+vXX3+lAQMG0GOPPUYtWrSg77//noiIVqxYQcHBwVSoUCE6cuTIP6r4zPIPDnpYjhJBi7nWh7mQ2KFDh+iVV16hYsWK0dSpUyklJUUGCXeqfPygsnaEd6uynB3+13Pe6TpOnz5NZcuWpTFjxsiPmw8k5Vo+7H6ZK5yL+8npdLpVG//yyy/piSeeoBo1atDGjRvl48UREBs2bKDixYtTWFiYW0B+9OhReu2116ho0aI0ePBgOnLkiPycuIfN7d88ADG3QfGxrFJTUykhIYF69uxJRYsWpQYNGtAXX3xBhmHQ0aNHqXv37lSsWDEaMWIENWjQgN5++205mDAfhsrtJ//joIflqKzn7YgOLT09nebNm0dlypShJk2a0A8//CC/5m4dn6dYtmwZFSlShHbt2kVEt6pTmwMgxv4pcwBgrnZORHTp0iUaOHAg+fn50b///W86e/as/BpzJWZd12n58uVUpEgR6t+/P6Wlpcm2euPGDVq2bBlVqVKFypYtS2+99Rbt3buXrly5ctu1mO/ju93TycnJtG/fPho7diw988wzVLhwYXr++edp1apV5HK56Nq1axQVFUXFixenp59+WraXnTt3kp+fH3355ZdERDKbmpGRwW3HA/CaHpbjzEXFFEVBYmIihg8fjs2bN2PQoEEICwuTu6XEOpbsXA+QV4hFpKqqonv37jhx4gS2bt2KwoULyy3uYo2Pp/1u2IMj03ozIpI7C7dv347BgwcjPT0d0dHRaN++PZxOp9zpCLifiC7KLPTr1w/Vq1fH7NmzUaVKFbmz6saNG1i+fDk+++wz7Nu3DxUqVEDTpk1Rs2ZN1KhRAyVKlIC/vz+8vb1lwc/r16/j/PnzOH36NI4fP47Dhw/jhx9+wKlTp1CpUiU0adIEPXv2RO3atZGWlob58+fj448/hsPhwKBBg/Dmm2+iUKFC0DQNFosFYWFhiI2NxY4dOxAYGOi2rocXNudvHPSwHCW2oovdUitWrMCYMWMQFBSE6OhoNG3aFLquQ9M0EBG8vLzk13riAkSxDff48eMIDQ1Ft27dMHHiRLkFVwQ7HPSwf0q8FIjSEMnJyZg8eTI+/vhjtGvXDpGRkShTpoy818wL8cXXmAOmgwcPYvDgwbJ+T7du3RAQECC/X2pqKg4fPozdu3djw4YNOHPmjGzrmqbJDQaKosDLy0ve315eXihdujReeOEFPP/886hSpQoKFiyIU6dOYcWKFYOLM7AAACAASURBVFi4cCEyMjLQtWtXDBw4ECVKlAARyUANAJKTk9GiRQvUr18fc+fOdasd5In9iifhoIflKDH6O336NEaPHo3Y2Fj06tULERER8Pf3l9kL0QGKbamemOkh0+4yq9WKefPmYdSoUVi3bh0aNWp0224vxu5GtCHxp7kEAgDs2rULw4cPx/nz52UdLPE5825H85sISuhmJWS73Y7U1FTMnDkTs2fPRnBwMN566y107tz5jkeqXL58GYmJiUhKSpJlHwzDgM1mg5+fH/z9/REcHIzy5cvLr01OTsbXX38ts0ZEhF69eqFHjx4oV66c/LkAyKyROH5m27Zt6NixIxYtWoRXXnlFFhf1tH7F03DQwx4pTdMA3NqmDQBr165FREQEvLy8MGPGDLRs2TInLzHXEi8uYju90+lEp06dcPnyZWzZsgXe3t7QNE2ef8TY3YjMqTkzaLFYkJaWhilTpiAmJgbNmjVDdHQ0qlSpIjMw5mNZ/o75uQHg1KlTmDVrFtasWQNN09C6dWs8++yzaNCgAapWrXrP13358mX89ttvOHDgAPbu3Yvt27eDiPDcc8+hQ4cOaNWqlVv1dPN1mKfixNb7/v37u51tB3hmBtmTcNDDHhkx6hKd5+nTpzFx4kSsWbMGXbp0QUREBEqUKJHTl5lriaAHuDUF8d///hcvvPACBg8ejPDwcFkDhTtu9r/oui6PkFAUBd999x1GjhyJI0eOYPz48ejSpQsKFiwo18GIe+5BnD59Gjt27MCyZctw9OhR+f0rVaqExx9/HH5+fnjsscfg4+ODlJQUXL9+HdeuXcOJEyeQmJiIS5cuQVVV+Pj4oFq1anj11VfRoEEDlCtXTk59361+lTnoEc6ePYsmTZrg5ZdfxvTp07PlZ2S5Gwc97JERtxoRYfPmzQgLC4Ou6xg/fjw6duwIILNKsZeXF2cq7kD8/swF4iwWCz744AOMHj0au3btwuOPPy4XoDJ2N+KQXKvVihs3bmDevHmIjo7GU089JaucA4DT6ZRTyqKA5v20TVHx3ByMnD17FgcOHMCRI0dw7NgxHDt2DCkpKbh06RLS0tLg6+uLggULokiRIqhUqRJKly6NihUroly5cqhevTqKFCkin99c6Vn8/U7tIGsGCgDWr1+PHj16YO3atWjWrNk//tlY3sJBD3ukrly5gkmTJuHDDz9E9+7dMWrUKJQrV06ewmwYBgc9d2Ge2hKjb0VRkJGRgQ4dOiAtLQ0bNmxAgQIFcvpSWS4n7qU//vgDgwYNwuHDhzFs2DD06dMHBQsWlEGReDNnGe8nqBbfz7weKOtZeWIBs3kNjvgz62PFwmTzMS6ibYgBwb1kO8UC5n//+9/44YcfkJCQcMfDhVn+wTlwlm1ExyPez2r37t1o1aoVvvrqK3z66aeYO3euDHgETi3fnfkFSIyaDcOAt7c3pkyZgl9++QULFiwAcGsqkcc0nsmcVb3Tnw6HAwsWLJDr59atW4fBgwejYMGCt2V1xP0mAor7IQYxIhCx2WxuC/PF97Tb7fDx8YGPjw/sdjvsdrt8rPl+FpkcMVgyH+ViXrx8t9+NeBNTYWPGjEFqaipmzJgB4FYwZP6dsfyBMz0sW4jDM7PW0RF1OaKjo/HRRx+hZcuWmDRpktxZwWtPHox5q+3MmTMxY8YMbN++HZUrV5bbfq1WKweTHkK84JsXKBuGAZfLBZvNBovFguPHjyMsLAy7d+/GoEGDMGjQIFkHy9OY28/y5csxcOBArF69GiEhIW7lNLifyj846GHZQixQFqMvMTL89ttvMWzYMCQmJmLSpEno3r27nJ4BuC7GgzIXLExPT0fbtm3h4+ODdevWyTQ/AD6N3UOYu3PzAmSr1QrDMLB48WI5pTx16lQ0btxYvrhnnULyFGKaTNd1vPnmmzh+/LjcDSmyXDxoyD/41YZlC7Go1uFwwGq1IiUlBVOnTkXbtm0RHByMrVu3okePHjI4yjoiZffHXCTO19cX06dPx759+/DJJ5/I361I/7P8z1wZWQwmrFYrTp06he7du2PYsGHo3bs3NmzYgGeffRZOp9OtPo+nMdcpslqtmDx5Mi5evIhp06bJ09q57eQvnOlh2UJUaVVVFT/99BPCwsLw66+/YsyYMejbty+8vLxkYTDztJandrbZRWR6xEhdVVVERUUhJiYGX3/9NWrUqCF3e7H8z7xexWKxQNM0rF27FuHh4fDz80NMTAyaNm0KIHNK2lzs0xMzPbquu+0YtVgsWLJkCYYMGYINGzagXr16vI09n+Ggh92XrLeNoihIS0vDvHnzMHHiRNStWxdTp05FnTp1ALhnG8y7QXhqK3uYd3OlpKTghRdeQPHixbF8+fLbihWK6TAeweZ9WSsiA7cWDZ87dw4jR47E6tWr0atXL4wdOxaBgYGyLZr/9NQyB6LoorkSs6Io6NSpE86dO4etW7fC29tb/p5E2+EgKO/iVxz2jxmGAU3T4HK55MLlgwcPomPHjpg0aRKGDx+O9evXy4AHgHyRNXcsHPBkH3OnXahQIbz33nvYtWsXlixZAkVR3M4zMk+JsbzN6XTKF2IRxOi6jri4ODRr1gz79+/HF198gffffx+PPfaYnF4WWQ1VVT024AEgd4yJ34XokyZMmIDExETMnj1b/k6dTieAW1XlWd7ErzrsvpjT4bNnz0arVq2QkpKCDRs2IDw8XG4zZY+epmlo2LAhBg4ciDFjxuDIkSOwWCxyjYK5RADL20QWz+VywWKx4MqVK3jnnXfQpUsXNGnSBNu3b0erVq3k9nCR1WB3R0SoWrUqRo8ejejoaPz000+yVpCYRua+Le/i6S32j4k1AH/88QdGjBiB3bt3Y+DAgRg8eDAKFy4Mh8MBAPd8Tg/LXmK648aNGwgNDUW5cuXw+eefA7h17hCfz5U/mNejJCQkIDw8HMnJyZg2bRratWsHwD0zYS4lwZnWOxMBotPpxL/+9S9cu3YNX375Jby9veVJ8gCf0ZVX8b8auy/Lly9HaGgokpKSEBsbizFjxqBAgQJwOBwyVcxyhuiwCxcujOnTp2PTpk1Yvny5nAIT25dZ3me323H58mWMGTMGnTp1wtNPP42dO3eiffv2bmtQzFM3vJbuf1MUBd7e3pg0aRJ+/fVXzJ49G1arFS6XS36e5U2c6WFuzJVbVVWVUyFiZHjq1CmMHTsW69evR69evTBq1Ci5VsB8oB93rDlHrNsQwWd4eDjWrFmD7du3o2zZsvI8JZ7myN3EGh3zKeHmuksAsGfPHgwdOhQXLlxAVFQUunXrJrN5Yh2deVu2WPvDbfPvmQsTzps3D++++y62bduGmjVrugWSLO/hoIe5EQuTRbAjXjgNw8CXX36JsLAweHt7IyYmBqGhoXA6nbBYLLybIRfJWgPp8uXLaN68OWrXro3Fixff9RRqlnuIfyPgVvAjgh4vLy+kpaUhOjoas2bNQrNmzTB58mRUqlSJyxNkg6y1edLS0vDqq68CyDyuQ0wNc7Ynb+Jej7khottORD579iz69u2Lt99+G23atMHOnTsRGhoqO1g+4yl3EUGq+LcMCgrC9OnTsX79enzxxRewWCy8mDmXM599Zc7WeHl54YcffkDLli0xZ84cTJo0CUuWLEHZsmVlBoI9mKz9WYECBTBlyhQcOHAA8+bNk7WNWN7ELYS5ISI57WG1WhEbG4umTZti586dWLx4sdz6quu623QWyz3Eix8RwcvLCwAQGhqKPn36IDw8HGfPnuVsQC4nXnjFuhyr1QqHw4HJkyfjpZdeQkBAAPbs2YO+ffvCbrfLsgS8VuvBZQ1oDMNA7dq1MWTIEEyaNAmHDx/m4DIP4+ktdkdJSUmYOnUq5s+fj3bt2mHq1KkIDg6WlZfNKXcAvD4kFxGZOvO/k6qqSEpKQkhICEJCQvDRRx9xx52LZV1bt3//foSHh2P//v2IiIhAv3794O3tLbehmyuc8yDkwWRdSyUCyYyMDLRp0wa+vr5Yu3Yt93l5FPd6HkwUGBQdp+hot2zZgpYtW2LNmjWYP38+Pv30UwQHBwOAPHFY/Cnqv7DcQxxHYS5AZxgGgoKCMHnyZKxevRrx8fEAIM9eEtNhLGfouu72Jl54XS4XPvzwQzmdHB8fj3feeQfe3t4yuLXZbLBarRzwZJOs1cpF1tTHxwdTp07Fjz/+iM8++0x+XlR1ZnkDZ3o8mMPhkDsUbDYbLl26hOnTp2POnDlo27YtJk6ciPLly+f0ZbJs4HK5ZHDat29f7N27F9u3b0exYsXkSJaPpsg5origKB6oqiqOHDmC8PBw7NixAyNHjsSAAQNkWQhRaJIHHA+f2MklsqdTpkzB7Nmz8fXXX6NChQpywGiuis5yLw56PJjoaFVVxZ49exAREYEzZ85g1KhReOuttwBAridgeZu5Yz537hyaNGmC1q1bIyYmBsCtHSvcaecMkbURGwNWrFiBsLAwlCpVCjNmzMAzzzzjNuUF8FEuj4qoYi76wrS0NISGhqJSpUpYuHAhLBYLHA4H7HY7/3vkAfwv5MFsNhuuXbuGyZMno3379vD395f1d8RZTbzLJ38QdVqICCVLlsSkSZPw6aefYuvWrW6fZ4+emF60WCw4efIkunTpgiFDhuCtt97Cpk2b0KhRI7mFXUxHi69jD59YVyWOoShUqBCmT5+OuLg4rFq1ig8gzWM40+PB9u/fj+HDh+PAgQOYMmUK3nzzTVgsFrd1HmLqi+VtRCSLElosFhiGgV69euHAgQNISEiAv7//bQUls9YrYQ8PEWHZsmUYO3YsChcujJkzZyIkJEQGO06nU9aHEet9APCL7SMgKpyLoEfsihw/fjwWLVqEnTt3omTJknJ6i9tN7saZnnxKNE6xwM6ctXG5XHjvvfcQGhoKb29vbNmyBb1795YL9mw2G+x2O7y9vTngyScURYHdbndbiB4ZGYnLly9j6tSpcmpLrF8Qi9vZgxMLXc2/W6fTKc+oO3v2LPr06YN+/fqhffv22Lp1K0JCQgDcKg4qzn0SQSsXBH10VFWVJ7HbbDbZJw4cOBBBQUEYM2aMHCyIDLnD4eD2k0tx0JNPmQtsORwO2Vn+8ssveO211zBt2jQMHz4cK1asQN26dd3OlBGjFB6t5D/mIw1Kly6NGTNmYN68eUhISJCjVPP6Hp7efDAul8stoBTBj9hxtXr1ajz//PP48ccfsWzZMkybNg2PPfbY3z4nt8tHz/w7FzWRHnvsMUybNg1xcXFYvXq1W/vhTQG5F09v5UNi4Z1432azweVyYd68eYiMjES1atUwbdo0NGjQwG27stjizPI/c1Dco0cPHDp0CAkJCfDz85PZCHNVYHZ/spYDEG3swoULGDt2LJYsWYKePXsiMjISgYGB8ncPcO2r3Mx8NtfIkSPl2XYlSpSQHxdtiOUuHPTkU5qmyQ72jz/+wIgRI5CQkIDhw4fjnXfeQcGCBeXuLfOWZd594DnENvaTJ0+iadOm6NatGyZNmiTXkXDG78GJtiVeCAFgx44dGDBgANLS0vDee++hXbt28ncupr68vLw46MnFiEiWDrh+/TpatWqFatWqYeHChW4HvnJ/mvvwv0g+kHUrq+hgdV3HJ598gtDQUJw9exZxcXEYPXo0fHx83DphsfWVX9w8h8hAuFwuVKhQAZGRkZg7dy52794tz+biBZkPxpxNs1qtuHz5MoYOHYrOnTujQYMG2LNnD9q1aycfL37XPj4+/GKZB4hMqL+/P6KiohAbG4vY2Fi3aS6W+3CmJx8Qu63Mp/8mJiYiLCwMmzZtQv/+/TFixAj4+fnl9KWyXEJ0yqL567qOTp064a+//sKmTZtQoEABGIYBu92ew1ead4iNA2LAYR5M7NixA0OHDpXHu3Tq1ElmWYmIp0HyMDE4GDJkCDZu3IidO3eiaNGibgNLlnvwcCKfEDs7FEXBsmXL0KxZMxw/fhxffPEFJk+ezAEPc2M+vVsEzBMnTkRiYiJiYmLkURbsnxMLWS0WC9LT0zF+/Hi8+uqrqFq1Knbt2oWuXbvKAMm8/ZzlTeLfb9iwYbBYLIiMjOQsaS7GvVo+IHaCnD17Fv/5z38waNAgtG/fHnFxcfLMHi48x7ISu1BEqYKaNWsiIiICs2bNwk8//eS23ovdG1H5WlVV/PDDD2jdujXmzp2LmJgYLF68GOXLl3fb0cU75PKPEiVKYNq0aVi6dCm2bt3K2btciqe38om4uDgMHz4cqqoiJiYGoaGhcrGd6Fy9vLxy+jJZLiHW9IjRqFg8m5GRgU6dOuHatWuIj49HgQIFcvhK854bN25gzpw5mDJlCpo0aYJx48ahVq1acLlcblNZIjji6a28x7wbTxADhP/7v//D3r17sWXLFhQrVixHro/dHWd6cjnz2ousC5YBICkpCUOGDEGPHj3w7LPPIiEhAaGhoTAMA7quy2kK7lSZmXl3lli7Q0QoUKAAJk6ciN9++w2zZs0CALmoGfDcow/M7c9cZDBrFvWXX35Bhw4dEB0djVGjRmHlypWoVauWW3Vz8+4engbJX1RVxdixY+FyuTBjxgwAcLs/PLX95CYc9ORioqMVnasgOskdO3agZcuWiI2NxaJFi/DRRx8hICBAjiCtVqusIspBD8tKbKkV5fPFi/GTTz6JMWPGICYmBgcOHICqqrLCrKdOxYh2KKrsmgMeIkJ6ejref/99hIaGwul0Ij4+HkOHDpULWcV6O7G42cvLSw5GeO1U3nOn+lViarNYsWIYP348lixZgq1bt0JVVVmVm+U8nt7K5bIudrRarUhJSUFUVBTmzp2LNm3aYOLEiShfvrxcnwGAO1J2X9LS0uDt7Y20tDS89tpr0HUdsbGx8Pb2lveXJwbQhmHIFy9zpsZiseD333/HsGHDsHfvXoSFheE///kP/Pz84HA4YLFYeAePh8ia0enduzcOHTqETZs2wdfXF4ZhyGCX5Rz+7edi5nLmVqsVVqsV33zzDZo3b44VK1bggw8+wGeffYZy5cq5TUFwupzdD7G2RNd1+Pr6YvLkyfj111/x6aef3nbQpScSC5DNJ24vXLgQLVq0wJUrV7B+/XqMHDkSfn5+btlW5hlEGxH98Pjx45GUlISYmBh4eXl5dNvJTTjoycVEI7LZbLh+/TreffddtGvXDqVLl8auXbvQo0cPue1YjESzToUx9k+YixbWrVsXAwcOxIQJE/Drr7/Cbrd77G4uXdfl0QIAcOrUKfTs2RPh4eHo3r07NmzYgOeeew6GYSAtLU22R+Y5RPZPBDdlypTB+PHjMWvWLOzatQt2u52nuHIBnt7KRbLuqBHzxj/++CMGDhyIkydPYsKECXjrrbdgsVjcFkGaD7pj7H6J4nri3kpNTUXLli3h7++P1atXy4yjCLbF4/PTKFYENiLQyfozLl26FKNGjUJAQABiYmIQEhIiBxpi6k+04/z0e2F/z7zY3dyHd+3aFSdOnMC2bdvg6+vrlpXnTOCjx6+QuYjD4YDL5ZIjhrS0NMTExODFF1+En58ftm/fjj59+siONevJvxzwsAdlPpoEyDwSISYmBrt378aKFSvktE7W7df5idhVBdya8hNVzt966y0MGjQI3bp1w5YtW2TAk/X3wMe6eB7RB5v/7YkI48aNw5kzZzBjxgy3nbjinDX2aHGmJxcRq/+tVit+//13jBgxAt9//z1GjhyJnj17yhOwObhhj4rI+ERFRWH+/PmIj49HtWrV3IKC/HY/il1a5lF4bGwswsLC4OPjg+nTp6N58+Zu2RxxeGt++12w+0dEMlv40UcfISIiAhs2bECjRo3koMG8c5I9Ghz05DJOpxOLFy/GuHHjULVqVUyfPh116tSRhQZ5+zl7lETQk5GRgUaNGqFs2bJYuXIlFEWRU6z5LashMll2ux0XL17E+PHjsWjRInTu3BlTp05FUFCQ29oMkQ3Kr5kvdv/E7ltVVdGlSxdcuHABGzZsgK+vL4Bbh0OzR4eHJbnI8ePH8dprr2HUqFEYMGAAYmNjUadOHVkfhU/uZY+aWLezaNEi/P777/jqq6+watUq2Gw2+fn8dk+qqgq73S6nr7Zt24bFixdj/vz58Pf3l1PQItAzB3+MmYkdfKqqIioqCidOnMCsWbPkphOxWYU9OtxKHxExejRXc3W5XAAyszsLFy5Ey5Ytcf36dcTFxSE8PFyedC1qffj4+HDHyh4aEVyLaVYAuHr1Kv7zn//g3XffxZgxY1CvXj1ERETg1KlTbmtf8grz7kYxkHC5XNA0Ta6vSE5ORkREBLp27YqGDRtiy5Yt6NChAywWi2yLXl5esrBg1nUcjAnmqasqVaogKioKH374Ifbv38811XIIT289Ipqm3ba93Gq14uTJkxg7diyWLFkCAJg3bx769OkDp9PJawTYIyUqC9tsNthsNpw7dw5dunTB+fPnsXDhQjz77LPYvHkz2rZti06dOmHBggUyy5FXUvRidG0+aNV8Kvr27dsxfPhwXLp0CZMmTUL37t1l2+WpK/ZPmV9eFUWBw+FA+/btkZGRgY0bN8ogmgPmR4dfUR8B8aIg0philLhy5Uo0bdoUq1atwujRozFz5kyMHj0acXFx8PLyynOjaJa3aZoGm80Gq9WKv/76C926dYOmaYiPj8ezzz6La9euYffu3QAyt22vXr06zx2jIBaXih1ZAGCz2ZCRkYGJEyeiY8eOqFq1Kr7++mt0797dbZDC2IMgItjtdkRHR+PXX3/F3LlzYbPZuJ9/1Ig9dLquk2EY5HQ6iYjoxIkT1LNnTwJATz31FG3ZskU+NioqiooWLUoHDhzIqctlHi4pKYmaNGlCTz31FJ08eZKIiM6ePUutW7emcuXK0WeffUYNGzakChUq0KlTp8gwjBy+4nunaRrpuk4ul4t0XSciou+++44aN25MxYsXpwULFsh2qus6aZpGTqczT/2MLPcwDOO2NyKiWbNmUWBgIB0+fDiHr9DzcNDziIibfd26dVS9enXy8vKiiIgIunr1KhEROZ1O0nWdMjIyqF27dhQSEkLJycm3fT1jD4umaZSenk7dunWjKlWquAU8jRo1ooYNG9KhQ4eIiCghIYEKFixIXbp0kUFCXuByuWRbunHjBk2ZMoUCAwOpTZs29Ouvv8rHOZ1OysjIkMERtz92P7IGPLquy36+efPmFBoamqfaT37AQc9DIDpJcYMTZb5w9O/fnwBQo0aNaNeuXbc9XrydOXOGKleuTBMnTiQiooyMDMrIyCBN03Lk52H5j7g/NU0jl8tFDoeDiIimTJlCRYoUkffnhQsXKCQkhOrVq0fnzp0jIpL39LvvvkuKotCaNWuIKDNocjgc5HK5cuAnujNd18npdMo34eDBgxQaGkolSpSgWbNmyZ9f0zTSNE0GORzssOwkMo1ERD/++CMFBQXRnDlziIhkBpKDoIeLg55sZhgGpaamksvlkkHKV199RVWrViUfHx+KioqiS5cuuX2NOTgSLxgrV66k0qVL08GDB+VoUzQKxrKDmLoRHfHmzZvJz8+PZs+eTUREDoeDOnToQE8++aScxnI4HPJe3blzJ1mtVqpatSqdOnXKbTooNxABj7ndpKWl0axZs6ho0aLUunVrOY0sfgfmtshYdsvaRqKioig4OJj++OMPGfA4HA4Oth8iDnqyma7rctSYlJRE77zzDtlsNgoJCaFvv/2WiMhtbtf8vvi76KxffPFF6ty5MxGRbBDcGFh2MGcidV2nq1evUq1ateiNN96QAcJ7771HxYsXpx9//JGIiK5fvy4D+RUrVlDJkiWpYsWKBIDeeusted+a18vkJHE9os0cPXqU2rRpQ4ULF6YpU6bQjRs3iIjcprBEkMTYw2AYhhwQu1wuSklJoVatWtErr7xCKSkpMqvP/fzDw0HPQ7J582aqU6cO+fv708SJE+ny5ctERJSeni6j/ayjSvEx8cKyZcsWCgwMpF9++YWIMqe5uENm2cXcuc6cOZNKlChBx48fJyKivXv3UpEiRWj69OlERG7TQzNnzqSgoCCKjIykI0eO0BNPPEF2u502bdpERJRrRqoimHE6nTRv3jwqXrw4NWzYkPbu3SuDPofDIUfeYr1Pbrh2lj8ZhiGngcV9FhUVRQAoOjqaiHJP+8mvOOi5D3/XMV69epXCwsKoYMGC1KxZM9q3b5/8GvMUlXhfPI/4uOh4dV2ntLQ0euGFF6hv374yGOLGwLKD6HyJiE6ePEnlypWjWbNmEVFmp/viiy/SSy+9JIMCkWmcNWsWFS5cmBYuXCjvxc2bN5Pdbqdq1arRX3/95bZY2Pz9HubPkjV7Khw7dow6d+5M/v7+NHbsWDn4EEGcaIvid3Gna2csu4hMj67rlJqaSmFhYVSyZEmqW7cu+fv70w8//HDbfcyBePbioOcfMK9/EBkX8+Libdu2UZ06dSggIICio6MpJSWFiOiBsjNLly6l8uXLy0WkjGUXcV+OHDmSnnrqKUpLSyMioo0bN1KRIkXop59+IiKSGZ64uDgqWLAgzZ07l4jcF2UOHDiQAFC/fv3c1rOJ97N7nY/5xcO8DV1MzRmGQatXr6YqVarQc889R19//XW2fn/G7oX59UIMNAzDoEuXLtErr7xCxYoVo6VLl1JycjLVrVuXmjVrRjdu3JADDV7Lmf046PkHzGlJc8d++fJlGjFiBPn6+lLLli3phx9+IKJbHf6DBD0XL16k4OBgiouLIyLeTcKyh+iAL168SGXKlKFFixYRUWaWJzQ0lN544w23TOTx48epdOnS1L9/fyK6tfhedOIXLlyg2rVrk8VikXWnRMYyu0eqYu2NuR2KaWMiosTEROrduzcBIAD0xRdfEFHm1DJjj4q4Pw3DcLs/k5KS6IUXXqAqVarImQBd12nw4MEEgCZMmEBEtzYa8FrO7MVBzz8g1geIzlPTNNq+fTvVMsRtyQAAIABJREFUrFmTAgIC6P3335eLI8ULwoNOSblcLurcuTP17t07W34GxohuBc+zZs2iGjVq0Pnz54mIaM+ePVS0aFH6+eef5T3scDjo5ZdfpkaNGlFycrIMmMSb6MzXrVtHPj4+9NRTT9GlS5fkCFU8JrsDn6xTxJqm0bJly6hMmTJkt9tp9OjRFBYWRqVLl6aEhAQierCsK2P/lMPhkDMEhmHQ+fPn6eWXX6YqVarIwoR//fUXde7cmUqXLk1t27algIAAueklPT3dbccke3Ac9PwD5jTjtWvXaNSoUeTj40OtWrWi3377jYhuzb+KXSDZsQU2Ojqa6tWrJ3eFMZYd0tLS6Omnn6ahQ4fKjw0fPpwaNGggt6cTEX355ZdUsGBB+uabb4joVkAvRrEOh0N2zP369SMANGLECNkWHsY6mayL/k+ePEk9evQgi8VCLVq0cNspOXToUCpfvjwdPXo0W6+Bsb8jAvOMjAxyOp105coV6tixI9WsWVNuGEhMTKSGDRvSE088Qfv27aPU1FRq0KABNW7cWBan5R2F2YuDnntk7rR37txJ9erVo7Jly9L8+fPdytZnTfvfLdNzt/LkWT9HlLnGokaNGrKhcKqT3Y+s983+/fvJz89Prt1JTk6mSpUq0fvvvy8ff/XqVapbty69/fbbbsG8eZGlOaNz5swZqlmzJhUqVIji4+PdHvMg963o9LMW8nS5XPTZZ59RmTJlqFSpUjR//nxKTU2VjxUbAtq1a0fPPfccXbt2TV4TtyP2sJmnp0aNGkUlSpSg/fv3ExHR+fPnqUGDBtSwYUPZtxMR7d69mwoVKkQxMTFExIvrsxsHPXdh3tIqpqyuXbtGI0aMoMDAQOrYsaPbuSnmlL85u3On4OZupcnN6XrzC8Xhw4epUqVKtGfPHiIit+fmEvnsXpizlOJ+iYyMpKefflruaNq9ezeVLVtWrjMgIoqNjaUiRYrQ4cOH5dqEOzEvVl6zZg1ZLBaqV68eXbx4Ud6n90tkk8RUm3Do0CHq2LEjFSxYkP71r3/JTI651pX4vidOnKDq1avTyJEj5ed4NyR7mERQTkS0evVq8vf3p6VLlxJR5jrQ5s2b09NPP00nT550KxRKRBQeHk4+Pj5yNxdnerIPBz13IUa1oiNPSEigRo0aUeXKleWNKx4nmHeSmP9u7lzNjxHBTdaV+llHsikpKVSxYkVav379bd+TR6zsXmQNsl0ulyyHILz33ntUu3ZtunLlinxc27Zt6fXXX3cbBNyJ2P4t3nr16kUAKCwsjIjogXafiO3yoi2mpaXRRx99RMWKFaMnn3ySNmzYIB97p10v4nuvXbuW/Pz8aPfu3betR2LsYUlMTKRKlSrRoEGD5MciIiIoODiYDh48SESZ97TIUCYkJFD16tUJAL3wwguUnp6ea6qc5wcc9NyFCCQuXLhAI0eOJG9vb6patSotXbqU/vvf/9KRI0foyJEjdO7cObp06RKlpKQ81BuzQoUKtGLFCnlt3Gmzf8pcm+fPP/+kSpUq0cqVK4koMxjv1asXtW3bVj7+0KFDVLJkSbn76W6ZEXEvpqeny6Djzz//pIoVK5Kvry/t2LFDfo/7kZGRITNM3333Hb300ktUsmRJioyMlEe6mI+bMK/3EQGQKMTYvXt3atKkyW31eRh7WAYPHkxPPPGEPFw6NjaWChYsKAfP5sB87ty55OvrS4MHD6b/+7//IwAUFRWVY9eeH1nB7khRFPz2228YNmwYtm7dClVVcfHiRQwcOBCGYcBisQAAChQoAJvNBm9vb/j4+MDLywt2ux0FChRAoUKF5J+PPfYYChQoAF9fX/mxggULomDBgihUqBB8fHygqiqsViu8vLxgs9nk361WK1RVdbs28f0ZuxeGYcAwDHkfJSYm4vLly3jmmWcAAGlpaTh8+DBefPFF+TUHDx6EqqoICQmBpmmgzEESrFb3bkNVVTidTvlxRVFQqlQpvPfee3j99dcxZswYfPXVVwgICLiva7fb7bh06RJGjx6Nzz//HI0bN0ZsbCzq1KkDAHA6nbe1D/P7mqbBZrOBiDBo0CC0bdsWGzZswCuvvHJf18PYvdq9ezc+++wzfPLJJyhSpAguX76M8PBwvPHGG+jUqRMMwwARwWazYdGiRQgPD8e4ceMwePBgJCUl4fvvv8e0adPwyiuvoGbNmjn94+QLHPT8jQIFCmDw4MEYPHgwkpOT8f/tnXucVVX9999r7XObOwygPKZcBCUvZd5NNPIaAkIqhvpElpoZdPFWGkgJ+MNHI/HJSvs9ihI9KviUFPmkj2ZKP6XMMiq7qGShoIAMzMyZmXPO3nut54991po9mzPDcDOHWe/X67zOOft+Lnvvz/p+P+u7CoUC+Xyejo4OgiCgVCqRz+cpFAq0t7fT3t5OqVSira2NfD7P22+/bZdvb2/H930KhQK+76OU2m5/VVVVVjAZAVVTU0Mul+O1117ju9/9Ls888wxSSqqqqqiuriaXy1FTU0Mmk6G+vp5cLmcFmHnU1taSzWapqakhm82Sy+UQQtjHu4XWGiFEr56TVJovhLA38vg0sy+zfE+fMbmv+H6Sy8Sn97RNcyEzwjR5bN3tP7nPPfnbJL+LtWvXUl9fb4VIoVCgubmZgw46yC6/evVqjjzySIYMGUIQBEgpu/0MRqSHYWh/l8mTJ3PRRRexZMkS7r77bm666SaUUl2+Y7Os+fzx90bIPPbYY8yZM4fW1lZuu+02pk+fjpQS3/dtg8DzPLvNuACKf7dCCI477jjOOOMMli5dyjnnnGMbFg7H7qK1JgxDe54UCgVuu+02xo4dy6RJkwB4+OGHaW5u5oYbbrDnUjqd5sEHH2TmzJksXLiQGTNmoLVm6NChLFiwgPHjx3PdddexcuVKK94N7+b1e1/Bne09MHLkSEaOHNnr5ZVShGFoW9VGGIVhSBiGaK3tPK21FUgtLS0UCgW2bdtGPp9n69atNDc309raSmtrK6VSiREjRlAqlXjzzTetuArDEIAwDCkWi3ieR7FYRCmF7/sIISgWi7a16/s+WmuklFYkVVVVkcvlqKurI5vN0tDQQDabpba21gqq2tpa+5zJZGw0K51Ok81mu7zPZDLkcjnS6bR9ZLPZLjfM3j4nqTS/uxa+ET2V5pkbb1JAxdeLz0sKBrNMpenmtTmuuFiIb8/sM75u/Lj29sXsj3/8I6NGjSKTydjj3LZtGwMGDLDf0UsvvcRZZ51l1+lOkMZ/g6TQmzt3Ls899xwLFy7kzDPP5KSTTqJUKnX5/s365v/seR5SStauXcu8efN46qmnmDZtGldffTXDhg2zy6XTaYAuEaZKJKOiV155JVOnTmXt2rW8//3v35mvzeHoERP1zOVyvPzyy6xatYrHHnuMTCbDO++8w6JFi/j85z/PsGHDCIKAVCrFmjVrmDlzJtdeey0zZsyw94tMJsNpp53Gl770JRYtWsQ999zDF7/4RUqlEhBFQB07jxM9exCTdjIX472N1ppisdgletTe3k4YhnR0dKCUolAoEASBXaZQKNDR0UGhUKCtra3Lw0zbunUrGzZssIIrn8/T3t5OW1ubvYmn02mEEKRSKXuTMg/z3txQPc/D8zwrprLZrBVc5r1J91VXV1NTU2Pn1dXVWSGVyWS6bN+k/sz3bo4lmQ5MEp/XXVSg0nNclCSjE3FBYx7mGCsJhfiyZjsmYrWnozzmc8a3/de//pXRo0dbwaCUoqmpif322w+IUkavvPIK11xzjV1/Z47JiLiDDjqIW2+9lQsvvJCvfOUrrFy5krq6ui4ROvO9mt8yn89z7733cscddzB8+HCWLVvG2LFjEULYSNKuorXmmGOOYdiwYTz22GMcdthhu7wthyOJiXpqrbnrrrs44YQTOPHEEwH44Q9/SBAEfOpTn7LLb9u2jZkzZ3Laaadxww032P+3ucZ4nsf111/PE088wbx58/jYxz7GIYccQrFYxPf9d+1esy/hRM9ukowoAF1SV5WiCdDZqk3eTMzyZhsmbF8ptSOEsOmsvYE5BpOqMeKpvb2dYrFIR0cHbW1tVkTFp5nXJrVXKBQolUr2fVtbG5s3b7ZCrFQq0draiu/7FIvFLsv6vo+Ukmw2ax8mhWciTblcjurqajvPRJvq6+vxPI/a2lrS6TQ1NTXU19eTzWZtlCuXy9n0XzLyZcSd+a0MyehBT9GZ5PSebtrx339PRnyMCDO/aWtrK42NjXa+UopSqWRbj01NTQRBwP777w9gU1c9iclKn0MIwbnnnsv06dNZunQp3/nOd7jpppsqCh6tNatWrWLOnDmsXbuWq6++mquuuora2lrb+vU8r8uNYWcRQlBdXc2ZZ57Jk08+yfXXX7/T23A4KmEi+KlUitdee41nn32WBQsWkMlkKBaL/OxnP+Pss8/mgAMOIAxDUqkUS5Ys4V//+hcPPPAAdXV1FItFmyqG6D5xwAEHcMstt9ho56OPPmobf46dx4meLhjxsnMX0x15MZLv4yH9eHojjpmf9P7Eow/JdSp5UeKRiPjycf+FeZ9MvyQjG0IIm+ba3WiESe9BlFox6cD4cxiGBEFAGIa0tbVZ35TxVuXz+S6iq6mpifb2djo6Oti6dSsdHR1WQAE2Bej7Pr7vEwQBQggbJQvD0AqsYrGI1tqKolwuZz1TJt1nfFVVVVXWjF5XV2ejV+bheR6ZTMb6tEwa0KQFM5kMqVTKpgL3RnrL/J/Mc7FYpKamxs5Pp9NUV1dTLBYBWLdunRWS5jcyoqk3F1vzXZrPdPPNN/P8889z5513MnHiRI4++miUUralumHDBu68807uv/9+zjrrLBYvXsyoUaMoFos2RdsbP9WOMOfekUceyeOPP84777zD4MGDd3l7Dochfo395S9/iRCCiRMnAvDKK6/w0ksvMWvWLCvc//nPf/Ltb3+bGTNmMHr0aPs/L5VKVviYxsiUKVO44ooruPvuu1m6dClXXHFFtxFkR8/0GdGjAIVGoJFo0IIwVEjpEYQaLy0JFIQa0mhSOgQdQDpNoAVBqMhKgQwCkICXJlCCEI1QmkxKg/ZBCMBD4yFE71q1ht7erCoJne7WrWSo7W47yYhRJfGVXKa7fcUNoUbwdOefiVPJR1NpmhDCRhXejdx0GIY21ef7PqVSyUaYzDQTnTIRrWKxaKNS8YhVa2urnbZlyxY6OjpsCrCjo8OmBeOtMfPapN/MRc08TGrOpEczmQy1tbVWSMX9V/GegUZ81dfXk8lkqKur69Ljz/M8hBA25J7NZkmlUhSLRYIgYOPGjaRSKZqamshkMmzZsgXf92lrawMicz3Qo9k33ivMYPZrBPPBBx/M3LlzmT59Otdddx2PPvooDQ0NBEHA8uXLmTdvHtXV1Xz/+9/n/PPPBzpTBea12a7xpvX0/6+UfjQPz/M4/PDDKRaLbNiwgcGDB1f0diXZUePG0b8xUXmlFCtWrGD8+PE0NDQA8OSTTzJ06FBOOOEE23B46KGHSKfTzJgxA4iug8n/VdwmMGvWLFatWsWsWbMYO3Yshx12GEEQ2Ci8uZa4/2XPCN1H5GIIhCgkClkWP0EpRGmPdCZDKVCIlKSgIYcmXSoh05GoCbzogp8JA2QpgIwkVBIyWfKFgLQHVZ5G6FI5yJNCi/ROix5H/yWeqoFOc3lzc7ONVhhhZMSU8VAZsVQoFOw048sy4st4svL5vI1emXn5fB6AfD5vIxlVVVU2nWdKKlRXV5PJZBg4cCCrV6+mra3N+qg8z+Mf//gHRxxxBAceeCBtbW384Q9/4JZbbmHMmDHU1tbS0NBgewCaaFc86tObi+1nPvMZHnjgAe644w4mT57M7NmzeeaZZ5g5cyZf/vKXqa+v32O/R/y1ET+FQsGKu6OPPpolS5ZwxhlnVEyZJXsVJr1bvU31OfoHJv27efNmjj76aBYtWsQnPvEJAM477zyGDBnCPffcg5SS5uZmTjrpJKZNm8bNN9+8w22b/+DKlSu54IILmDJlCg899JAV8eb/a4SPo3v6TKQnSj0JQCDQCA2pdJY/r1nDpZ++nJZ8K+PPncLsW/6DXHUWkU4TBkVkxkPoAAlIIWhu2cYXvvAFfvXiS3zw2BNY9J3v8b79B6GEwhNeeTeyHPFx9FfiAibZhRoqpxLNs4lyeJ5HTU3Nbre8TKrI9Aw0kQ6T+jM9Ao250ZjSTTmFfD5PS0uLjVoVi0VGjx5to1RGVI0ZM4Z8Pm97ETY2NrJgwQLrp4l/DyY6ZdJ99fX11nheW1vLwIEDqaurs49cLseQIUM46qijqKqqYsGCBdx+++1IKfnqV7/KySefzN///neb8kqn07blbFKC5js38+MtWxNBMxEuMz0pZIz/bciQIUgpKRQKXX7DuMCJp6CTota1ph1JzH/uueeeI5vN2jpSbW1t/O1vf+Pss8+2/6lVq1axceNGLrzwwl5t23SHnzBhAtOnT2fx4sWMHz+eyy+/3EaOKkVcHdvTh0SPsJJHaEBrhFRsfGsdf1zzEtlsiu9/77uMPeNsLph0Nr4CKaILpSdC0Aq8NE8//jjLf7QCWVPF6l+/QHNrK0P3H4xEIkUKgUbjoRA4m1j/ZUc9vKDndKO5SVYy3ibN6PFUTLJ+jYko7C2zehLjIWhra+Odd96htbXVRpRMSsz4nsIwpLm5mZaWFrZt20ZTUxMtLS00NTXx6quvWg+WSRkqpWyphI0bN9p9XnfddVbUmJSW8TyZdUzPLhO1MoLIGNxNGsykB+OpxPj3OnDgQCtMm5qarK9pRz6l5O/n0luOJOb/8Pvf/56hQ4facievvfYapVKJQw45xC67YsUKPvzhDzN69OhebTsu4ufMmcOvfvUr5s+fz6mnnsqhhx5qo0zuf7lj+pDoiRBdXoRIFVCTFUw8dwLPPPcbfrJiBedNPBuERCABH7SPJwXaL/LAkqUc9cHD2W/4CJ576S+0lQKEhBCBh4dEodyfpt9TqVdevNt3XJzEb4ZxoRKP+CRN4t3tI55GSUaS4mIpLqri3b+FELaXU3x/pqUY9xgl03HpdNpWLx40aNAuV1A220tefEulEu3t7WzatImnn37aep/iPffiab+Ojg583+/SS9CkDI2Y2l3uu+8+fvOb39hUoPFNmWeTzjPRKmNeN+UTHA6DOUdfffVVRo4caX1wb731FlprK3qam5tZs2YN559/fkUfTyXMdQVgxIgR3HrrrUydOpX58+ezdOnS7c5nR/f0HdGj44Kn84f1MimKvub4448jFJInVv6Uf7w+i4OHH0goAKVICQVK8/vf/I5nV/+a2791K//14gsorZBeCh1tPnIKOR+Pg56N5T11TY+Lje5M4729MO3I3G5EVbwVGJ9eab/dRbDMBdpERsxn2JnjjVMpcmJ6wTU2NvZYFND0pDMpNZPGiz9Mis8IpXiRT5PeM8LIGM1Nqs8s7/s+a9eu5eWXX7ai0DybfSeLisbTfKbsQVVVFQ0NDTbVZ2pMmddJ87kRTSaiZXq4GZN5fLrp9WeiV+82SbFtpiVfx6cli39WWq+7fcXLKiTXSfqq4scUX8f8r7szuFc6nkqfp9L8nhBC0NHRwbp165g8ebKdns/nEULYwp/r1q1j/fr1jB07dofbTH5Ow6RJk/jsZz/Lfffdx4QJE7j44ot7fZz9nT4jegREwkcAuuzvEZKCH6IlaC/NxRdfwvJHVvB/li9jzo3XUVQghRetqEMeXPYIdY1D+diEc3juxdXosIj0IpO0uZwIrcuJNN1FXDkcO0NPwmhX1++tiOpuH8nIRKXletNDb29jPDnvRuE145EyPfpKpZJN5ZlaUckefqYXoBFZJgVoeu4VCgU2bdrEG2+8YUsrmGiVWdek8YzIjH9m40uKP5u0nfFRmTH7zDA1cZFlpsXH9zPT4r364o9k78JKYtpQ6b8Xn9adONuR4DEiNt54iK+brF8VTwHHt9/bOk7J+clSHbsSyWttbeWNN97okrbatm0bAHV1dQBs3ryZfD7PmDFjKh5Hd8ca/w6y2SyzZs3iF7/4BV/72tcYN26cranl6Jk+JXqkicloomeRQssMpRBaSyGnfvR0Dhl1ID9fuZKZX5hJdU0OrUBIwdvr1/PIoys45aOTGD5yFH6hgA4DlA5jVXmiXmFoHZmZHQ7He5aewvmValTFe1yZcbuMT2hvlE1I1tgyN6x47z0ThTJiKl4pvVIBULNOsVikra2Nt99+u4s4i5diiPf8iw9dkMlktivkaabFB06Op/fMmIBmgGVTLsGsZ0RVvOinqekVj0h2RzxKWWl68rWh0jYrpYK7I/m/SIqlnY12lkolNm/e3GX4okKhwIABA+w+1q9fz/ve9z4GDhzYpddVTySPMwxDRowYYctA3HjjjSxevNiZmXtBnxI9NtwTQ6ay4KVRqSyDBg7i/HMn8M1vL+bF363h9HEnIiUgPFb8+FHeXL+JT152GRDiCUUqI9FKlQ3SlAVP+UKlI1HlcDjeeyQLZxpzMmyfojDE0y1xg7NJYZmbTzK1EY8wxFMnZttxP1V8uWTV6fgwLdXV1bt9czJFNc1niBfZNBGsIAhserBYLNLa2mqLepoUoIlEmchVPp+ntbWVrVu3sn79eiu24im/eArQiDuzH+MrM4Z3Yz6P+6Ky2SwDBgzoMmhyvACoqU2Vy+XsNkz6Lz7en5kWL+5pCnzGf/dKryu9T7Kz0U6TdjVRHYgEihGdAK+//joHH3zwTu3D/NfjlfyDIGDatGmsXLmSpUuXMnnyZKZOnbpTx9sf6UN39XJKS0sgIKowCCEBSIlfTlBNveAC7rr7fh78wQOcNe5EhJC0NDWxZOkjHH/iyZxw0rGgSygVohVIKWykp08ULHI4+gC6fDYJROepa51zwkyoUPw8Hh3ZcWSgUg2dpJekkqcjPj9eADEpZMz68UdPYifpawG2M7LHDehxgWammW3HjzkZjYgf97uFiSSZVKApkRCPMsXThKa2VHt7O62trbbApxFZxlu1adMmK8JMaQUzqLL5HuNj6sVLGsRTcvHx+Iw4Mv4qE6UydalMBfX4OH/x9KDxUyVTf/F0oNlf/P9VKBS2G39x0KBBXUz3vu/bqJipCt8T3UWuzDHMmzePF154gWuvvZbjjz+e4cOH97C1mF9KaYSUmHaBPQ69b1s7+pDoCSH0QAtIadDlVp3IR5WUw8iQ/MFjTuCk4z/E0088wj/XXs3Bo8bwq9V/49e/e4X/sWghjbVZdNgMUqC0AiFQmMurJLoY79s/usOxt1EEgMZTaVACJARSoVF4SLywfP56Gq0iASSlBhEAIRoJOhNJJLG9NtrVFnpyOI7eRgGSRRiTgsrM35GXKx4t6m265r2SrjBlBPYW8TQkYEsnxIt7xr1R8dRfPF1oxuszvQPb29vZunVrl0rsRlQZYZYc5w/o0qPPmMnNaxOtikepstmsrWg+e/Zs9ttvPwYOHMif/vQnmpqauOuuu+x7M7xLT5XODd35k8y0MWPGMHfuXC699FLmz5/PvffeayNCCIEUEqE1iGhcA7QiVCFKC6SSKA1+oMspXo0OQ1Kp5H9OlM/Fvn9f7Duix6a2BPEmokB16dmVqW7gkk9ewhVXXcPTTz/BwaPG8L9/uIzGwf+N86ZMAUK0UqCF3cL2I24Jtr/MOhyO3lIpairsdFF5IS1MT4XOmbs2HJ6jDxJPV5qq4mYYlN3B9AA0taLi4/oli36aNKAxqBsjektLi/VRxYeiMYLKCK4gCBg7dix//vOfbSSsVCqhteaaa65BSonv+2SzWUaPHm19T/X19TQ0NDBgwABqamoYMGCAHV4mPhyN8VqZFJ5J540fP56JEyeyePFiJk2axMc//vEobasUeGUBU/bCag1Sg5dOR40NJNITSCkoFn3SKY8gVHieLJ+z+9b9sO+IHt2lzzqdbyTRrxl5c1RY4oyzzuSA/Yfwox/9hGOP+whPPvUkU6ZMYfTI4fi6QFZIu77QUc8tUX5tN+9wOHaDRNJYU66bVe6OYKM3ulxj3UwT5Yts51bc6di/iKcWDfH0YHfeKkOliF08Bba3Mb38jJenubmZ5uZmK5JMhKmpqYm2tjaampooFAps2bKFN954g5aWFjZv3mxTiJXSfOl0GiEEtbW1top5a2srWmtmz57NKaecwoABA6J0GESdne39TdDUtJX2YgmlBYiogGptTQ2DBjWWhWe0UpdGyj5C3xE9IhI2mKEiEj+EjHXqGjFiFBMmnsGSHyznmmuupr29jUsv/WS0hlJo3XlhNa86ZVB5Q/tAGM/h+HchrB+n7CHwUnh0loYwswUiEfDpPBM7/T+O/oAxZCdTPnFRExc7cY9VJV9X3L9l1jHT4j3rkn6tHQ03EjfJx5fzfb/LcCiGwYMH9zotpHU0vEx8XxBFq0yNqebmZhuBMhXR169fbw35QRBQKpViUTMvFi+Q6CDgizO/wCM/WUnKy+CHIQLN/vsP4cILL+Tyy6/giCOOKLs8OuOz+wp9R/Sgom7kCcEjy1EbrVW5tShAeky7+BLu/8Eynn32WcaefAbHHP0hlNakPYnSEiE8hOocakICQqvOGkAOh2OX0VoiRLk3pIAtb23gjy+/QkkrlABPBTTUV/OBI4+kunYAOoxO7RCBLEdvpTYNkH/zh3G8K1Sqz5Oc39PrZPfynoRLsh5V0iyc7LZeyVeTFFTGiG6ekwb3SmIq3sPP1EVKmqMNjY2NNDY2cuCBB3b7HcWPGbARVI0u398EAsGmtzaRQjLn699g0JD9aNmykWd++RR33vk/eeaZVTz48MO8f8yhKB01TJJNk75MnxE9ca0jhOgUn1pCoPDKbcJQaaSAY489lmOO+SC/fWEN0y66kNqaLBqFUgEqUBQKRQoFHx0qhDYNz7KXwEV5HI7dQkM5yBOCFCxbuoSZN8wCahBpD+234Ek46YSkxbAIAAAHP0lEQVTjueyyq7j0sk8TKoHwokS17LIhR3+hklDZVdP6rm6jN93auxNURkzFh3tJzqu0raRRfneJG+wDtO1NiQahBChBQ91Arrrq8zQ21gPwlRuu5savfI3bvnUnyx/5Ed+46Wu2k48Q+07Mtc+Inkirdh0GNAxCRgwbxnU3XstpHz2VQCuE9AjCEnV1DXz961/nuf/6LVMvOL+ctVLllqdk6tRP8MHjx3HA/vsThpD1TPqsvLcKPUYcDkfv8AAdlnuMCEF+axMAc2/+D04Zdzyt+S2seel57r/3B1x51WfxteSyz36aQGk8KSLnj+i8ULuT0eHYdbq0HbRAINFaUCyWoraJX0CmBZOnTOb2RXfx57/8hbYgJJPyYivvGydinxE9UZjOFBQo977TcOghY1h467cIgWIQIrUm7aVRymfSxMlMmng+He2lcq2LEC8lEdLj4ks+A0A+BKl1dJF1XdUdjj2DBikEqBC0JpWKYrEnHHcMp3/0ZDQwZdJETv/IOM4553zuuec/mXzeeQwY1EDX3l3unHQ4dgeF6gwV6HJaTQuEjlxzIZBKRcM1+aUiWoVUV9eS8iSKfe/0e28UgOgFthOrFp0/nPRQSlMMOigF4MnI8+MHPghBR6GDIAjxPEkYKryURGuF9DKowKcYKgQaz3q1ysLH4XDsFmFIdLX0JAhB2pOk8Oho9wEo6QBFKyed/GE+9KEPsX79m6x78w2kAJIOAndKOhy7THenjxCS6uoa0oAQafx8Mz959McAfHjsWFJiX3LydNJnIj1RWkuWVacsF/3QSJEh7UlCBVKAlhJEGlCkUhlSKQ8lFMoa1dJoJDLl4SmBJ8ATpiChHXb03/QpHY59g1Qqyk7pMIXwQAY+mgyq3LIMtCat0+igRHV1DhX6CAEpEZmZo/NdAQHRcDDunHQ4dpaoj5pAqnKwQPggfNI6pFDwuX3hQmrqM+SU4sXnn2fF40/xuc99kf8+bSoBnT2aNWG5KdL3z8U+I3ok5UqgMdETWauyUZdzrzwz1aVjbLSuJ8shLQ/oLA/epeikiGqI2Ld7+gM4HP0IUfbyKJmLzjqlCPFIZbzyhVgiybFxy1v87e9/54ADhjJq+DBCDUILNF7k4ZPm0ttnLlUOx3uIqH6dDMuiJx2ALJBRivZCie98/16E3kbLO82A5BtzFnDTN26IEioahNBogvJD7hP3xT6T3nI4HH2PeHhcENUyKYQBJb/Eun+8zuxZc1j35gYuumgajQPrOwuoxdZyTRCHY9exSSpzKgmJr2BQ/VAe/enPWP38ah5ZtoyjPnAU/3nv93jht79DaWyqOZIJHvuKXHDNJ4fDsfcRUYp63rz5/K9l36a1pYW1z/+OllKBmTOu5HOfu5IgrFQX1Akeh2P3iLckJCiJ5+WANKNHHcKwIVkOP+QwGgc2MuHcc7nllvk8vPxhcrkMQhrBY87Dvn8+7hvSzeFwvLcpFznzPI9tmzajiyWmXXIJP//5Sr75zYXU19cT+D5Ca1uTWQvnYXY4dh+deCVQUuKryDPnhxodFvnIuLGcceY4fvmL/8eLL75IukvrI14pvW/jIj0Oh2OvERU41wgpUPjMvflmJk85NVHxQxGGmpzndQ6xJzTgRWGffa3PrMPxrtKZ3tIIhIRAKVLpDH4giPowa1KZNJdeOp2f/98nWP7Ick49ZWzU+UdEReviY5f2ZfaBj+BwON5rKBWNA2SK4UshUWiUVhSBglYQaBQqGvVZSgQCGav8GlWnkGh3mXI4donIxtO10aC1RgmNH5aQUuPJaKQCCDj99NP5wFEf4Ccrfszr694gDAK00pRK/nYDu/ZV3NXE4XDsccz10QRpQhWW50SX4E45JNBClA3M5aroNhwvyn1PHA7HrtOZJ1ZEgicIfUIdUCyFaF2O4GhNY+MgJp47ibffXM/KlT8lnUnjeRCNoKF62EffwaW3HA7HHicaS0jY8XujQQulHX9IdDFG2oH0iAse87xvFL93OP5dxAZPRaGlYs682WzOewwanCMMOkhJTRCEhKFixudncvDoQzn88CNQWiNQaAKESLEvDEXhRI/D4dh7KMATpLI5ND5ahXhA2N3yff+a6nC8h+ia3NJEUdVxE8YDgpYQPAKCQCFEikwmw35DhnDFpz6NAkphCdCkolDQv+UT7GmE3lcSdQ6H4z2HKXC2ddNG1m/cwvDhI6ipr0EDnk4M7GtTXJ0TnQZyOPYAJr0lwihprD00khDwRGRlViry1ikVmZfNSO1aq2i0A60Rwut+H30EJ3ocDofD4XD0C5yR2eFwOBwOR7/AiR6Hw+FwOBz9Aid6HA6Hw+Fw9Auc6HE4HA6Hw9EvcKLH4XA4HA5Hv8CJHofD4XA4HP0CJ3ocDofD4XD0C5zocTgcDofD0S9wosfhcDgcDke/wIkeh8PhcDgc/QInehwOh8PhcPQLnOhxOBwOh8PRL3Cix+FwOBwOR7/g/wMvqM+6duOl0wAAAABJRU5ErkJggg==)
Maths-General
Maths-
Prove that triangles OXY and OPQ are congruent by AAS postulate.
![](data:image/png;base64,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)
Prove that triangles OXY and OPQ are congruent by AAS postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
![](data:image/png;base64,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)
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjUAAACiCAYAAAC56TxKAAAgAElEQVR4nOydd3wUZf7H38/M7CaBQAClqGdBFFGaAiqeWO53nhzWExsgICWASOhIkcNyNKlJKEkoISBYjrMjngpWTk/kxBP1lMMC6olILwnJ7szz/P6YncnsEqwQSPK8Xy9I291sdme+83m+z/f7+QqllEKjOcooqUCAELGvUQgJSgLCQCqJdGxMy4r93L2tEMK/TzxlflOj0Wg0VRjrWD8BTeVDcajkEIBSCkcpBAoDABOhwInamJYJCKSjMCyj9LGUQimJYYjDPKpGo9FoNC5CZ2o0R5qyRI2SCiUlwlAQy9JgWm46xjsCBShH4ij3EYQQGAaAdH8cl7IpS+RoNBqNpiqjMzWackEYAilVTIoIHMfmzdWvs/V/36NMQdQuIblaMqedfjoXtLqAUCgJI6ZZhDBxhU1Zckmj0Wg0GhedqdEcccrM1Cg32yIdGxPB3t27+b8rr+KzTVuof1J9JA5FJUU4SK76/VU8+Je/cPrpDTHdVI0rcIQTezSBztRoNBqNJhGdqdGUD0ohDGIiRVBysJg9e/bQus2FTJw0gZTqyezcs53nnn+OBQvyMa0QuXnzSE5OQikwfvQXaDQajaaqo0WNplwQhoFColAYAkzDzbPUrl2Hlq1bUa1GGIAW57fk3XX/4pVXXmHr1q00OvMMv+QGL6lY2kKlkzUajUaj8dELYE054BYHo5SvQZRyv7adKNKRoEA6ktTUNNJq1QHDILZj5d5bb5JqNBqN5kfQmRpNORATNbhFwggQCgxhAAam4frVGKbB11//j81ffkWz81pSt+6JATHjZWm8z3WKRqOpWvzUlY2ODVUZLWo05YwEDIQAw1Ds2rmdV155jWo1qrPlqy0sWJiPMEwmTJxAWloqtiMxDAMhyghoOnZpNBWeYK+KKNtpE1fQyB95pETLB01VRIsazVEmEIgEftJGCIFlhfjg448YNmI4lmVyMFLM7j37OPusxvz30//S+KyzqJlWLbb95G1d6WCl0VQmhBDu+X1YQQNe4FCBhK3icCJIx4iqjBY1mqOMiPtMSYUwJMIwcByHiy9sw+SpDxFODqEMxZavviI7M5NBA/oi1By6dO2CBASGO1rBfzwduDSaio5CoqTEMEyUkrHz2zOocj9IJV3hI0EItwxUxlSNCDp36pigQYsazVHHDTRuilmhDLd5SUqHqB2hZmpNmpzbhNSa1VBIWjZvRoMTa9Gh/TU88/STXHvd9aSm1UAJgbsDpQOXRlM5UEhlU5qBESglEEqBEZMrfgZHgAQlQBkG0pFYppev8dCxQaO7nzTliDvDyQBhIADLNInaNo4jsaVD1Ini4HDKKadw5plnsm3b9+zdtzfgLKyDlkZTmVDSwZE2Ujko6WZtJLHht8Rmv0mFUMoffhuN2q47uRKuyoFgL4KmiqMzNZojzmFL/QKBx5ZuG7cwIClsYRkmtgQTg40bN7H5y8106HAdJ9Q5obyetkajKVcUpiFQUYVSDiUlJXz2xWbee+89PtzwIdFIhBPrnsjl7S6jVevWVK9WHWlHEcLANEykUhgYuIPkNBoXLWo05YPCXVkhQEqklDhSsmvPTt5c8zYp1atREi3kk08/4eFFBUQdh2uvvZbqqSk4Kjb3MlYlqDM2Gk3lQEmJIQRFRUVkZ89h2aOP8/333+PYDuFQiKKig+Tl5NLhj+25d+yfadS4MVHHjQOGNwxX6XigKUWLGk05IRAiVgwoBOGkZGrUrsW/P/g3d9xxB8J0szYKybnnnMu8nHncfMutOA5gHuvnrtFojjwCIQR2NMpDD01h+swsLrnkUqZOm8q555yLE42ye89uHlmyhAX5+Xyz9TvmzV9Ag5NOwQpbqNhixxc1uphCgxY1mvJCCBQK5diYhkVqrVrk5OSwZ18htlI4KAzDpE6d2pxz1tmcWKcOtuOAKC0iNHSGRqOpREiEEWLt2jXk5OTyuyt/x4KCAk45+RSUBNNwTTYvatMGI2QxP38RTz39NHffnYEjwRSlE1M0Gg8tajTlgtvxJDHMMBhghcO0vfzyw0clBZZhoQRIIQOt3BqNpnIgUJFinl+xguKITfc77+TUk08hqsBAIiUgbcykMD16dOepZ5/mxRdfoHuPHtSpUwsllVY1mkPQCTvNEaesJgQpwTBMpAApFVIBSJSSKKmQgOOOg0I57oMoqfzqYvWjbqIajaZiYVBUXMKmTZ9Rv15dmpx3LjYQcRxspVC4rd2g+M0pJ3NGo4Z89fVmtu/8nsRmboQbJXQDlEaLGk25ELegMkx3YCUKEWjlNFwrCrelE4UwBErImK2WXpFpNJWNXTt28t227zn55N9Qq86JOLgz4IRpui7DscG3ycnJnHHGaezZt5fdu3e6okYId6kjSju6tajRaFGjKRcUxLIz4Dg2QnjDLQ0M03T9a3AXZqYRi1KogJTR4UqjqWwIAXbUJimcTGr1GkjpxgW3psaIFQI7mOEQoVAIRzlEbce9b+wxPJM+jQa0qNEcBcrKqXhixRQGlmFiCBOEicJAKglKoaSblUHgVgEabseUgen6UWg0mkpFcjiJ2jVrsG/vbgr3HiCkwFIgpMKRyrVxUJKS4oN89+331Eo9gRPq1PMzNAL3tkIJDCV0lNDoY0BT/gR9ZoQQ/kA7L1uj0WiqBtVrpnJi3bp8/902vvt2K5YBdomDJUBGIyjHBiHYtWMXX3y+mQb1T6JWWpq7Ta1iCyhdLKwJoK8immOOJ2w0Gk1VQpFSowatL7yQrdu+Z8Xzz6EkhMImjuO429KmCULw4gsv8NVXX9H+6vakpdVCKW1fpSkbLWo0Go1Gc4xQXHv99Zxx5hnkF+SzeOky9u7di2kKpB3h4IEDvPDEE8zMzOS8pk254cY/kZyc5M6DOtZPXXNcIpTSFVaaY0Pw0JOxlZmKTeXVmRuNprIjkU4UBPztb08zctS97NjxPZf+9lJOPfVkQii2fvM1a99ay7bCQjp0uJasrNk0PKshSilMoTCEgUAF5j/p/E1VR4saTbnhOG7XgpSO61njODhSEg6H2b9/P6mpqa5BnyFQCgwj1sytRY5GUwmRKGUjJThSse5f63nqySd4+aWX2LJlM6ZSnN+8GR2ubs+Wb75l2fInOOvsJvROT+eWW28hLS0VyzQQynbdxoWBEoa2f6jiaFGjKRdkbIhlnEARsH/fflauXMncuXMZPGgQt91+O9Fo1PsxhmlqUaPRVFJspwTbdgiFwhiGhZSSwsL9rg+NE6VaUjJWUjJ2VPLMM88xdXom//n0E7p27cbUqQ9RLSUJI2biaRgGwtQm+VUdLWo0Rw1vK8n9XKKUm60xY740H330EVlZWbz77lpSU2tQs2ZNcnNzOO2000vXWgFBo4WNRlO5UMoGZWA7Doblbj8bKNfHSjkgXbcq5SgwLL75disv/P0lorZNt+53UCO1OsKRfveksHSZaFVHixrNUSNe1Cgcx8GyLIqKinj22WfJzMwkLS2NESNG0KjRmfTvfzctW7ZkwoQJWJaFAKRShEKhY/uHaDSao4OUSMftzZYIMBRCSZRykEgsTMDEjtoIw3SdhoWBdNysr2kKlB3FsqzY0Fzd4V3V0bk6zVHB22qSUvoFwZZlsXnzZqZMncLrr71Oly5d6N69O6eeeipCCAYMGMCoUaO48soruO66610RZJqxOhu9AtNoKh3CwLBiw26FwDCMmPO4wkQgMFFSxBY2AkxBSdQmHLKwbYUhQBlmzLBGD7jUaFGjOYJ4mRlPxNi2jYgFqqLCQh7/61+ZO3cuJ554Inl5ebRr1w7TNHEcG8Ow6NChA//85z+ZNGkyzZu34PTTT0cnEjWayot3fhumgTe9SQgBym0SAIHwGgaUQilICllIJTFNBRgYlnCH3yK0ptHo7SfNL8c7dDwhE9xuikRKME0Ly7LYuPFTZs+ew5o1a7jxxhtJT0/nN7/5DeCu0AAMw8AwDL788kvuvPNOWrVqxdSpUwmHQv7UJ11To9FULrwY4hb6CpSSeB2PSimkFLEuyOD5r3DH3rqjb4USgIEQOpur0aJGcwRwg48rTrxOJdu2KSkp4amnnmLu3LnUqVOHkSNHctlll/n1NWass8kQAjv2tWmarFixgqFDhzJt2jRuuummOLGk0WgqD47jIAzXa0Y6Nqbl+sy4lyV39tuh288SV9TEFlVunyTaS1YDWtRofgHBbSZPnEBpHY1hGHz++efMmDGDV155hW7dupGenk79+vV9rxrHsbEstwDYEzaO9HxsFKNGjeL999/n4SVLOPW00+KyQhqNpmJTmqHxYon0falA+RkbMJBS+jEmdu/AP/C2qcoepaupamhRo/nZOI7je8hIKd05LUIgDIOiokJWrHieOXPmULt2bUaOHEnbthcTDifFiaHgAEvHcdwCwcBW1HfffUe37t1o1rQZEydOJDk52V+xxQc4jUZTUfDOcfey42Vj3IXQV19t5uWXXuaS315CkybnYttRTDPktmrHeVUFBY2HFjUaF52v0/wsvK0mqSRKlooT07LYtGkT9947lmnTpnHZZZcxLy+Pyy+/HHC3oxJXZ97nhmG4tuemCbjZn/r163N3/7t54YWVrFq1yt+q0mg0FRdvQePGDvwFymuvvcagQUMYOmw4U6dOx47aWFbYX/joc1/zU9GiRvOT8IKRu91kYJoWjnQzNlJKnnjyCbp06cJ//vMfJk2axIMPPsjJp5yCY9t+4PIClLfygtIanNLgZfi/p3379rRv/0emTp3GN99843rXBMSQRqM5/gguXoLfcxzHdws3TLcxYMeOHYwfP56+fftSu3YtZmVn8+677/LwsqWYpuHHneDjKAUq1vbtorM0mlL09pPmJxEMVF6mxTAMNm7cSHZ2Ni+//DKdOnUiIyODBg0aEIlEMA3D7VOQEsuyfpLXjBf8pHQIh5P46quv6NSpExdddBGTJk0iOTnZ97/R21AazfFHYibW+9yruUMpbNvmn++8w6RJk/j2228ZPHgIt99+O6mp1Zk8eQqPPfYYSxYXcEGrC2LbUFYZjxkUNRqNixY1mh/ETxfHCvcMw82sFBa6tTNz584lOTmZQYMGcd111yGEiPnOGID42VO3Eyd3m5bFypUrGThwIFOnTuWWW27Btu24tLROTWs0xw++eME9h41AI4Fpmny//Xvmz5vPsmXLuKhtW0YOH06z5s1RMe+8AwcK6dSpM3Xq1GHOnFmkpqYCHLJlrdGUhRY1mh/Etm1UrEDXiI0u2LRpE3PmzOHll1/m1ltvpWfPnjRs2DCutds0zfgtIqUQPyMQlYopd1U3duy9vPvuOhYuXMjZZ5/tf98rHNbCRqM5PvAWMlJK7Nj2szfy5J///CfTpk1j8+bN3HVXP7p160aNGjVLM8ESDFOwZs1bZGRkMGzYELp16wYopFSHbFvr816TiJa7mh/ECxqmaXKwqIi//vWv9OjRgw0bNjBz5kzGjh1Lw4YNsW27dLq2EHFpZxHrjPolv9dxbEKWxcCBgwiHw+Tl5VFcXOwHy2B9jkajOfYEOxxBYZoG+w8cIDMzkzvvvJOaNWuSn59Pnz59SE2tEVjAuIKmpCRK27aX0LVrV7Kzs9mwYQOGYUJs0ZRo9KnRBNGZGs0he+DB73udSZ999hmzZs1i1apV3HLLLfTr149TTz3V953xUstu6tnANH+dXvaeh+M4scF1Js8++ywjRoxgypQppaZ8gfv8XOGk0Wh+GYlu4sEat6BlQzQa5R//+AfTp09n8+bNDBw4kE6dOlGjRg3fysGyrLjH9QTOzh3b6XfXXViWxcMPP0xycjKObcfOc4Vp6ik/mkPRokZziH+Mh2EY7N27l5UrV5Kfn08oFGLw4MH88Y9/jNXOOHHZmMTszJF4Xl4ruGEYKCkZN24cb65Zw8MPP8xZZ53lZ2w89OpNoyk/gjEj8dz//vvvyc/PZ8mSJZx//vnce++9tGjRws+2HM53yj3vo4RCYd566y369u3L4MGD6ZOeDrG44y2gdLOAJhEtaqowwcBCrOsIITBNd47KV199RVZmJqtffZVrr72Wvn360LDhGf7edqKAKI+U8NatW+nUqRPNmzcnKyvLN/070oJKo9GUTbDeLZip8Yp3TdNk7dq1TJgwga+//pq+ffty++23U6dOHYBDxh4knq/eIFwAJSWzZs9m0aJFPPLII7Rs2dIVRVJi6Fo6TRloUVOFUUoRjUb97R0jFqAOFh/k1VdfY8qUKUgpGTt2LFdddRWhUMjPzpSXKVZZ4xFWrnyeIUOGMn78eG677TZdMKjRHAOCmVQAy7LYs2cPBQUFzJs3jwsuuIAxY8bQrFkzTNPEcRyUlJgxe4dDZzq5OI7jGdGAEBQVFdKlSxdq1KhJTk4OKSkphEMhMAzdzK05BF2EUIUR4BfbAigUX3zxBSNG3MPgwYNp27Yty5cv55prrsEw3G4Gr10zcavqSFJWStv7PsDVV7fnpptuIicnh02bNvnPB0pt2DUazdHBy8x420DhcBghBG+//TZdunRh0aICBg0aREHBIs4//3wAv/bOCoUO2bpOxDRNZKBbskaNmowZcy8ffPABjz/+uNtZpRQy9pgaTRCdqakE/NxtHz9tLBVSOhimwcGDxaxcuZJZs2YBcM899/DHP/6xzOI/b7uqvApzE4sSlVJ888039OzZk3POOYfs7GxCoZDuiNBoyhFv5tuOnTspKChg6dKltGrVisGDB9OqVSt/EeSJHy/Dm1h/l4i3MHEcGyHcQmIpJbNmzaKgoIBFixbRunXruO2vxEYHHQeqLlrUVBL+/e9/s337di6++GJSU6vjGuWVio6yioG9eUubN29m1qxZvPTSS1x99dVkZGRw5plnAvFGWkEn4WOB99w9h2KvGyo7O5trrrkG27Z/lnuxRqM5PIkxQymF7TiEYuNKhBC8++67TJ06lU8++YSMjAy6dOlCWlpamVncnyM0vGJicAfnohTbt2+nd+/eVK9enaVLl7oZHb8O0PzZRp+ayomO/JWEvLw8+vXrx5YtW1xPhzIIdh0opSgpKeGZZ56he/fuvPPOO8yYMYOHHnqIRo0a+bcJ+sAEt6rKm+BqzNuPv/baa+nYsSMTJkzgyy+/RAhBKJbe1mg0v5xDCu+VIlJS4l8wdu7cyezZs7njjjswTZPHH3+cfv36kZaW5t8n8d/PweuKMgwDoRR2NEq9evW4d8wYNnzwAUuWLInL6Hj38Z67puqiRU0FxzuBi4qK2L17N5FIBDh0VeQVBXttkFu2bOH+++9n1KhRtGvXjuXLl9O+fXssy8K2o3H3P1xBX3kTXDlGo1FM02Tw4EEIIZg+fTr79+/39+41Gs0vJzivycvSpKSkIKXk7bff4q67+jF//nyGDRtGXl4eTZs2BeLr4Y7Y8xACBNh2lLaXXELv9HRmzZrF+vXrsUIhLCuE49jalE8DaFFT4Tnc1lDiiW0YBuFwCNu2eeqpp+jTtw8bPvyQhx56iAkTJnDSSe4QSvdxjEO2qI716idYCCyl4xcbnnzyKfz5z3/mlVde4cUXX4wz8tJoNEcGwzTZvmMHmVlZ3NW/P0pBQUEB/fv3Jy0tLSYq5BEXFaVxR/jzK3v37k3Dhg3Jzs5m586dse0nfd5rXLSoqeAkOgD/0NfffvstDz74Fx588EEuuvAicnNyuPHGG2O3KRVErovwobU0x5KgWAtur0WjUa644gpuvPFGZs2axWeffVamO7JGU+nxjvdfcdwndhF6288bNmygb79+FBQUkN47nYULF9KqVSu3ziYajXlXGUc8oxtXCCwEdjRKzZo1GTp0KB9++CHPPfcchhC+t82xjlOaY4+WtxWcRMM5L6hEo1E/IB08eJBXXnmFadOmIaVk+vTpXHnllYTD4bjHCrpzWlYo7nGPB4JBy8seOY5DtWrVGDx4MO+99x4zZszwu6HsaBQzlrnRAU9TGUlcuEjHQSnldwz9WLdRooiR0sEwSmvndu3axaJFi8jPz6dJkyY8/vjjfpu295jhcNjdIjpKCCGwLMt9rrEYddll7ejevTszZ87k/PPP54ILLvDbxINmgMfDtrmmfNHveAUmGNASBzuasY6Bb7/9lvHjxzNy5EhatWpFQUEBV111lWuGZdvH6qkfETyh4m5DncywYcN46aWXWbFihW8oqAJdFBpNZUMp5dorxLaerVhnkidSfkzIewLAEwOWFfI/f/vtt0hPT2fp0qX06dOH+fPnc8EFF2Db0XifmXJcLJQuaizS09M5++yzmTJlCgcOHPD/Hr14qdpoUVOBCZ68XpAp7QhweOrpp+nWrRtr165l4sSJTJ48mbPPPrs0kFXwVYzXneXYNrZtc9Xvr6J7t27MmDGDTz/91B2fELitRlPZELExIUIIiouL+frrrzl48KB/XvxU3xY3syGQ0mH37l1kZmbSr99dmKZJfn4+gwYNom7durG6u2OTwQ1mpaPRKLVqpTF27Fg+/fRTlixe7LsLH01jUM3xT8W+qmniCnqllCQlJbFt2zbGjBnD6NGjOa/peeTn59OxY0eSk5P9VVbQf6aiElwplpSUYIUs7up/F0lJYXJycigsLIzNsdJbT5rKixcDXnvtNW6++Wbeeecdd8smFPpJ9xfC23Yy+M9//kN6eh/y8/Pp3bsX8+fNo02bNqWeMLGFhHu/8j2ngj5VpmlQUhKhdevW9OrVi7x581j3r3/5Jn/6nK+6aFFTQfGcOoO1NEopnn32WTp36cKaNWuYMWMGWZlZNGzYECkltm1jWSFCoZDvwFtZSE5OBqVo0KAB4+67n5dffplnn30WNztfef5OjSYRT2Ts2LGDdevWsXvXLsDN1gYXPVAaNxzH8ec2GYbJvn37yMnJpVOnzliWxfLlyxkyZCi169Tx44wwDMJJSVgx4VDeI0nis06uJ5WUkk6dOnHeeU2ZPn06u3btQsWcjPV5XzXRoqaC4QUqr0jWm39iGgZ79+5l3rx5nN+yJUuXLuVPf/pT6SA5peJGCVSWIjqvUNE0Tdd5FLj0kku4uWNHcnJy+PLLL+P22XWw01QmyspGSFU6YDLYCei7Ats2th0F3Nq79977F3ffPYC8vDz69OnDwoULadasmf94XgNBMDOaWMNXHiTOgfOmddetW5eMjAFs3Pgpjz/+GMSyNImCTlM1qPhXtSqEd3GORqNx/jGrV6/mn++8Q82aNRk3bhyTJk2i8dlnuysyGRM9iYGpEpOUnMxd/fuTnJzMzJkz4/5m7TqqqSrIQDeQ58LtChtJUlIyxcXFzJkzh9690wGYO3cuGQMG+K7AP8axEDXeP09UCcMgGonw29/+ljvv7EF29iw2bPiAUMiK267SVB20qKlABOtgTNNk27ZtPPiXvzB48GD27NlDnTp1uOjCC0lOTkbGfGYEws/qVBWklJx88skMHz6cl1et4sknnzjWT0mjKTfiZibF/wDLsgiHk1i/fj19+/YlOzub7t26k5eXS7t27SDWTXi8i/5gzYw366137940bdqUCRMmUlhY6N/WE3SaqoEWNcchiQEl6Lvg7WW/9NJL9OjRg9dff52ZM2Zw1VVXceDAAT+QeYGpMm01/VS81+iP7dvTuVMnZsyYyWeffQbgb9cd70Fbo/mlJE619zAti127dpGXl0vXrl0pKiri0UcfZcjQIdRKq+VvTVWUJgLPzkHhxrtatWrxwAMP8NFHHzF//gJMszQrm/haaCovVedKV0Hwa2UCM1eCnhPfffcdEydOZMSIEZx33nnkzcuj/R//6NfOeLc1TavKiZk4lEIYgrsH3E3NmjXJzs5m//79bpt3zNtDo6mMeBfvoEBRSvLuu2u5++67Wbgwnx49epCXm8uFF17o3ikmYpKSkirMqBHPlM8wDKyY71aLFi3o378/y5Yt4/33/+3G0EDhsBY2lZ8qesU7PgkOZAsWAhuxbMvf//53OnXqxEsvvcQDD9zP5MmTaXqeO0guaGvufUzcf64qKNdIA9t2aFC/AYMHD2b16tX8/e9/RxDz5DBNnZLWVHji3IQTjmdvunZhYSFz5+bQo0dP9u/fT1ZWFsOHD6fBSSdh2/ETritiK7RSCicmWrxuqDPPPJPp06dTWFjoxlPdEVVl0KLmOCBuXpOUCPCzLKZl8b///Y+RI0cydOhQmjY9j0cffYSOHW+OGzTpCSF90pau4AAcx+b3v/8/brnlFjIzM/nvpk1YlkU0Gq1wwVujSSR4oU4cmQLwwYYNpKf3Jjs7i169e7F06VIuvfS3KCX9cyBxxEpFwlu0ebFQOg7169dn6NChfPLJJyxbtszdkg+8JjprU7mpeEdxJcU/wWKD2xzbpqSkmBdeWEnXbt147bXXmDRpEpmZWZxxxhn+pGrNofiF0Urh2A7hUJiBAwdSo0YNJkyYQFFRUZk+PTrQaSoanj+V9zm4hbNFRUXk5ObSo2dPbNvh8cf/yvBhw6lduzZSKtwxSmaFzMwcFiFwYhmZtm3b0rt3b7KysnjnnXewLNM3DixL/GkqD1rUHGOC9TJSSn+radfu3fzlL+MZNWo0zZo1Y/HixXTs2DGWwTH9oBS8CFeqAPUr8OY+mZblr9Lq1avHiBEjeO+993j66acB97V3TQlLZ9no109TUUjsavRiwUcffUS/fv3IX7iQbl27kpOTQ+vWrQFwbNuvQ/FavSsLpmm5g3hjMfSOO7rQokULZs6cyb59+/0hnx56AVM5qTxHdAXFc/j0Mi+OlKxevZrOnTuzevVqxo0bx0MPPUTTpk1xHAfTMFBS+tsrwaCkMw0uwanERmw16jgOV111FR07diQzM5ONGzfGmZN5Rl5Sv36aCoIXN6KRSNz3c/PyOHjwINnZ2QwbNoy6deuWjhcIxI3KJuCFANM0MGJ/V+3adRgzZgwff/wxBQWLsGMdoa6wUTpeVlK0qDmGBIt7DcNk69atTJo0iawYM9UAACAASURBVGHDhnHOOeewfPlfue2220hJSfH3v6VS/iDKxKCkMw2l+CZ7fiu8gSEMMjIyqFu3LrNnz6aoqAgpHSD2ugnhB0SN5njGM9GzrBDhJNd35m9/Ww5A1zvuYNGiRVx++eVxpnuV0XiyLGHiCRcpJa1atWLAgAEsWLCQt99+2zchlY6uq6msaFFTTgRHGwTNrYSAkpISVq1aRXp6Oi+//DJjx44lMzOTM04/g0ikxC8aDm5VBe3PvY/aZCoebxsK3IF9jnSoe+KJjBgxgjfeeIMnnngitpXn1hjo7gjN8UDwYhuc2SRlvIFmKBRm9+7dLFq0iPT0dDZs+BCAdu3aUbNmTf/CHnTiDXZDVoatp2AsDH70Pndsm86dO9O0aVOys7PZs2dPXFOFXgRWPir+UX0ck7gSCJrhgZtN2Lbte6ZOncrIkSNp2LAhixYt4tZbb3Vbj5VCiPhWy8STOChuvAF1mkMxDINIpAQhBJf+9rfceOONzJ8/ny+++ALLsnAcW2e6NMcFied4WbPLhBBs2LCBIUOGkJWVxR133MGAAQMAd5EEpQudqnhce948JZEItWvXZsSIEXz++ec8/PDDbvwVaK+qSooWNUeJ4AC5UjOsqJsxiBWlvvrqq/To0YOXX36ZEcOHM336dBo3bowQglA47Gcagiusw9XQeLfRoubwJCclgxAkp6QwaNAgwuEw06ZNIxKJkJSUdKyfnkbj4xaw2362BdxrsGEYFBcfZOHChXTr1o1du3Yxe/Zshg8fzkknneTfFypn3czPQSkIh8MopWjTpg097ryTvLw81v3rX1hWCFs6KHS8rGxUDOvICkowxWkYBpYVwjAMvvnmG/IX5fPYo49x+eWXM2LECM4++2w/gJWVFi4rOAW/d/PNN9OiRQvq168fKzqu2gEtETfjVZrKr1evHvfddx/p6ek89dRTdO7cGSUPTftXhhS9puLhOeGqWOzwOiM//PBDZs6cydq1a+nVqxc9e/bkhBNOACAadSdvBx2BEz1sqgLe32yapluLCCgUPXv14q233+bBBx7gkUceoXr16m5IqDovTZVAi5qjiJc5cYWKoKSkhFdeeYW5c+eyd+9e7rvvPm6++WaSkpKIRqP+yioohoJfl3WB9U7gG264IbD/rrAsfabGUxrcvZVsu3bt6Ny5M7Nnz6Z58+Y0a9ZMz4nRHBeUFvVKhDDZt28fTz75JHPnzqXBSQ3Izc3lsssuQwhBJBIhHArFuQJ7H4Pb01VF2CT+nTL2t6elpXHvvffSu3dv8vPz6d+/P8nJycfoWWqOFnoZ+ispTQ3Hj7gPipJQKMSePXt56KGHGDZ8OKeddhq5ubl07twZ0zRwHBsztrUUdPeMa00+TMYgeAIfbpCdJv518vx9hBD06dOH1NRUsrKyOHjwoH7dNOVKWXV3wWyhZYX45JNPGDZsGDNnzuT2228nNyeXKy6/HHCzM6ZhHOKYm/g7qoqgCeJlvU3T8H15mjdvRp8+fSgoKODDDz+MWzQmlgtoKiZa1PwKElf1hmEgY91N3jRo27ZZvXo1t912Gy+++CIP3H8/WVlZtGzZ0p3rZJjuVtFhnC5/SjDybmOapl93UxWD2A+RGNi99+3UU09l1KhRvPnmmzz55JMYhkE0GvF9gxINzjSaI0nwmPQK/ZVyR6UUHzxIXl4eXbp04bvvvmPevHmMHDmSM844w/dcCYUsf/ukrHO+qgoaKC2UdmOs8EXibbfdxtlnn8306dPZv3+ff9vEhammYqJFzRHAM3eLRqOueZtSmJbFd999x/Tp0xk0aBCnnnoaBQUFdOnSBctyhymKmAA5EiIk2OVQVYPYD5H4mngBz7ZtrrjiCrp27cqUKVPYtGkTZkxoBvfmNZojjVc34zgOJSUl/rBVIQw++fRTBg8ZQmZmJrfccgvLli3zt5uklP4CBgSmebgqglJBUxWzD4eORFDYdpQTTjiBMWPGxGZDPRKL37a/gNHxs2KjRc2vwBMQnu+MabrFqLbj8MYbb9CjRw/+/ve/M2rUKGbPnkWTc84hGoloP5ljTHBLzxt+2bdvX8444wwmT57MgcJC/f5ojjpCCBT4XjKmZVFYWEh+fj69evVk+/bt5OXlcc+IEdSpc0KciV5Z07kPEd+qaooZj+ACz32NBEq5GbHWrVvTv39/srOz+cc//kEoFPbvU5Vfs8qAFjVHACM2usAwTPbvP8CUKVO46667OOWUU1iwYAHdu3UjFAphOw6mZeHYjh/INOWPb8zluO/DwYMHadCgAffccw///Oc/efrppwmFQnGrXB3oNEcDIQThcJhwOMxHH33EwIEDmTFjBu3btycvN5crr7wCw7Sw7WicEV/w4hs8nqFUyDiBdvCqHmu8jLi3xaSUomvXO2jevDmZmZns2LHDzdKgX6uKjhY1P4Efupx5q36pFG+99Rbd7+zOypUruf/++5kzZw7nNG6M7dgYhohlciAUDscM3w4dRqcpH7yZW17RsFKKSy+9lK5du5Kbm8u///3+ISZoOnuj+bUkCmQhBPv27WPx4sV07dqVHTt2kJuby5//PI4GJ51EJOJ6WxmBzGKiM7BHvXr1uOSSSzjxxBP9x9aWBC5+rZIQfu1SzZpuN9TXX3/NwoULXU+wQBY90d5BUzEQSr9jh+VwKyOIb5vctm0bS5YsYdmyZVx44YWMGjWKc845ByBujzbROC/4OJryJdg2Hxwx8d3WrfTt14/69euTkzMXwzABhSEMbMch5E3+pmoXYWp+HH/BE3ABVl7mJBYLPvnkE+bOncvrr7/O7bffzt13303dunX9zh3pOIgfmajtxZJIJML+/fupUaMGoUCLt4418SR2my3Mzydz5kwWLlzIpZdeWipmAKR0rWy0QKwwaFHzE/CESfBC6NrqG6xZs4apU6eyb98++vbtS8eOHalZs2bcfXQ30vFN4vysV155hQEDBjB27Fi6deuGlA4qVp/gOTxrNIcjKJY9UeNNgSd2cSwpKeGJJ54gMzOTk08+mcGDB/N///c71+k2GsVMmCAPZRtBBhdeuqD9l7Fjxw6GDBnC7t27+evjj5NSrZr/vhmGgeM4hEKhY/00NT8RLT1/hGC6OBhc9u7dx9SpU+nXrx8nn3wyeXl5dO7cmerVqrveEbGLX2JRn+b4xNtrt22bSy+9lC5dupCTk8Pnn3+OEEbcEFLv9hpNWQSzuI5j4zjuuAPDNAmFQnz55ZcMHTqUBx98kJtuuomcnByuuuoP2LaD49gg4gtWE8ejJP4ub5xKsF5E89NwbJsTTziBYUOHsnnzZhYvWYJpmnEZdsuy9GtagdCZmh9BKeX6yZgmSkmiUZt3332XiRMnsn37dgYPHsTtt93uHvjEioaVW2nvCRrdZn384q3GlFLYsZZ8yzTZu3cvXbt1o169emRnZVEzLS1uNay3njQ/RDBL41FYWMjf/vY35syZQ506dfjzn//MlVdeCbgmesHCdCuQqfmhYy04hVsfk7+MSCRCOBwmPz+fKVOmMH/+fK688kqk4yBjsTw4ekJzfKNFTRm46WLlF/Z6F7Pt27ezePFili1bygUXXMDQocNo0aIFtm0DnlOtRCkwTSPO60QHm+MTb3UbLBj2LhKvvfYad999N2PGjKFr164AcXUK+j3VJBIcaeI4jn+8fPzxR+Tk5PLGG29wyy230L9/fxo0aIBt23HHlIpldIC4RdEP/T5PPAnwnYX1sfnTcBwH27YJhSwikQg9evTEtqPk5c2jTu3aOL4rsd7aqyhUaVGTOFbACw5e6tFL+0opeeutt5g8eXIsOzOY6667jrS0tDIK+PSEtIpG4oXDuxgppRg/fjwvvPACixYt4rzzzist4Ix91BePqk1i+IxESmLHhNuqXVRUxF//+lfmzJnDSSedxLBhw7jssst0jcZxQnC7zjRN3nnnHQYMGECXzp0ZNHgQUiq3OSAwikIvaI5vqryoCZpZxYkawAqFOLB/P3nz5pGfn89FF17I8BEjaNKkib/PGnT41Ad65WPr1q307NmTBg3qk5ubR0pKyiGFxZqqSzAbI4BINIJluYLlyy+/ZNq0aaxZs4Zbb72VXr16ccopp/j31aL42OO9f55nlWWZzJkzh5zcPB5espiLLrrYL9wGnQGrCGhRE9hu8Pa/pbQRhsUbr7/O7Fmz+HLLFgYNHEjXrl0JhUJIqTCMQKsmYAZEjqZik9i98uabb9KrVy9GjRpNnz7pfs0U6CBX1fHDp1Ko2Nf79+9nxYoVZGZmUrt2bcaNG+fWaARau8ua86Ypf7zONIg5MitFUXExPXr0IFJSwrKlS6lWvXrcEFzN8Y35wAMPPHCsn8SxINhZAKVdBEIIduzYQc7cHGbNmsXJp5zMtKnTuPrqqzEMN60MqtTaPHCw6wO+8uBn8KTktNNO48CBAyxdupRLL72U+vXr420z6kBXtfHFSSzrsmnTJiZOnMgjjzzCtddey+TJk2nRogUlxcVxm9Ja1BwfBLuc3PlPkJyczFmNGrF48WIcx+GSSy7xb68Lso9/qlSmJjEzo5TCtm0sy/IL9tatW8eUKVPYsmULGRkZ3HTTTdSuXTvOZTLR1EoFhlNqKgfeqtp9vwX79x+gU6dO1Ktbj7k5c6lWrZpfV6Pf96pF0OJBKYVpGESiUZ577jmmTZtGnTp1GDZsGJdffjnJycmlsUNKN6PrGboZhq6+O8YEjVWD4yYsy2L+/PlkZWUxf/482rW7LOYAr3Bsh3BS0rF94prDUqlFTaKillIiHccv+EIpiA003LFjB/n5+SxevJi2bdsycuRIGjdu7BeFJla/a7Ve+fFEjbvXbvHqq68yYMAARo0aGeuSsBPs6nWReGUhsWtRud/0a+4cxyEcDmOaJp9++ikzZ87k9ddf59Zbb/Xnvv2Y6NUx5PjEG5+yf/9++vXrR3FxMXl5edQ98URsx8GORklKSopzFgeddTteqLSiJhgwEs3zlO89YFJcXMK6deuYOXMmmzdvZuDAgdzR9Q6Swkn+jBDdqVB1Kc3YuG3+mZmZPP3008yZM4c2bdoQjUaxLCt2O3eoqc7cVHw8MQulFvle/YXnWbJnz25WrHienJwcUlNTGTFiBO2vvhpi84V0Fq9iEo1GQSkM0+SDDz6gf//+3HrrrQwcOJBwOHxI6YLm+KLSihqIL/hUrs+9+zXuAbl9+3Yee+wxFixYQOvWrRkyZAjNmjWNJXBKzfN0l0LVIjhB3XGcuOzejh07GDBgAHXq1CE7O5tqMUt1IDZKQdvVVwaCpoxeDPE6ZQzDYOPGjeTm5rJq1So6duxInz59OPXUU+NahL0Mrz4eKg5KKRzbxo5l4mzbZvHixWRnZ7Nw4UIuueQSbNv2aym1sDn+qLSiJth26+FtEBiGwTvvvMOECRPYunWrr8TT0tJwbNu/DZSmIvXBW3UovZC5xYOeqAmHwwC8+cYb9Ozdm/vGjePOO+/0t6H0rK/KQTBD44kbj2g0wlNPPcXMmZmkpaUxfPhwfv/73xMKhWI1F6V4Rno/xURPc3wQNOMsKSkhKSnMnj17GThwILt37+axRx+levXq/pBR7z76nD9+qJSixgsgtm37KyfLsjBNk3379pGfn8+8efO46KKLGDJkMC1bnh8XdLwD1CsidmwbQ/vQVGm87I23Wp8yZQp/W76ch5cu5bzzzoubu+OJH03FpHQOWBTHcUhKSsY0TT777DNmzpzJ6tWr6dKlC3fddRcNGjSIiSCFEPH1d7rCqmKSeEkUQvDxxx/TqVMnunfvzpAhg93rgiPjFjJ64Xt8UGlFjcJdKXmdSaZp8uabb5KTk8Onn35K37596da1KzVq1CAa2/9WqnQKc5xXCZQWF2uqJN7x4A0nLCku4bbbbuOkk09m+vTppKam+mJYB7eKRVlZFNu2sW2bpKQkiouLeeaZZ8jLy0MIwb333svVV1/t3zeYzdFbEpWDYPGvt7hdsGABWVlZzJkzh9/97ndxnVM6G3f8UGnOvsQ2S4Fb32CFQhQWFjJ9+nQGDhyIMAwKCgro17cv1atXR8aETFnq3P+oD9QqT9w2pjCoXr06I0eN4r333uP5558nFLL8QtJKuE6otHiixJsB5GFZFsnJyWzZsoWRI0cyfsJ42l7SloeXLOHqq6/Gtm1/CKW3ENKCtnIRnNItpaRjx45ccMEFZGdnsXPHDkDFZWj92k3NMaXCZ2riLzZeUbCrQ5SSvPfeeh566CE2btzI8OHDufbaa6lXt66bMg4Y5nkXJCH0RFZN2TiOE7fnbts206dP57nnniM/P59mzZodUoMBunX3eCZYEOwhhCASifD8888zdepUwuEwY8eO5corryAcTopzBtZFwJUfz8/MjHVD9e3bl1tuuYWRI0f6x0LQxDX4UVP+VFhRE1TGblCSRKNRTNPCsiz27t3LokWLWLJkCU2bNmXYsGG0bt0awC/oCxZ3JRrzaTRBgsdaNBr12/y3b99Ot27dqFevLjk5uVSvXv0Q34qyfI40xx63o8lGiNLZTYZpsmXLFrKzs3nxxRfp0KEDQ4cO5Te/+Y1/H+/9LEvAaion3jxAhPC3oRYvXszFF1+MdBztWXMcUWFFTXA/U6FQUvndBu+++y5z5szhv//9L3feeSd33HEHtWrV8oORHkio+bkktukGJ7m/9dY/6NWrN8OGDaVPeh+8EypoC6CD3PFD0B3c954xTYoOHmT16tVMnz6dlJQUBg0aRIcOHQiFQv5KPRH9vlZ+vHPfO+eLi4vp1asX+/fvp6CggBPq1PFNXPW5fuypkKLGfcalwsQr8N2/fz+LFy+moKCARo0aMXr0aJo3b35Yzxl98Gl+Kl6wSiwO9OaAzZgxk4cffpjFixf7GcHEAlJ9vB0feLUzCjBjXSuff/45s2bNYtWqVdxwww3079+f0047Ld7jKnZb/V5WbhLfX+8SGYlEME0Ty7LYsGEDnTp3plvXrgwbNpRQyO141IvkY0+FEjXeCsu9kCh/5SSlZOPGjYwbN47//ve/DBgwgE6dbictrVZcIaB3QGo0v4REM0fPZRZg//799O7dG8uyyM3NpXbt2nGFg3pbs/woS3QE3wdvho9hGEQiUVatWsUDDzxAtWrVGDVqFH/4wx8Ih8NxY1VMbelQZfFa9h3HXaQ4jk04HKZgUQFTp00jJ2cuv/vd/x1Sl6U5NlQIWRkUJq4S9ubtwO7du5k9Zw5dunTBsiwKCgq46667qFkzzZ/RYsRaunVdg+bX4o3OgNLtS8Mw2Lt3L9FolKeeeopnnnmG2A28tKIOcuVI4niU4EcpZew9Efz3v5sYOXIkw++5hz/84Q889tijXHvttZimu/CRse1sr35GUzVxa68kZiwLYxgmUipuve02LrnkEqZOnca2bdvi7hOME5rypUJkaoKtst5WkmEYvP3222TOnMkXmzfT6fbbuatfP2rUrOl3qQghMIRA6JSg5gjgt25KiSMdLCvku1OPGzeO3bt387///Y/atWuzfPlymjdv7jtU65V++eNlyiKRiJ8pC4fDlERKeP7555mVNQsrZJGRkcGf/vSnOAdhb5sxcYKzpvJzuGLfRGFrGAYffvgh6enp3Hzzzdxzzz2xRbRJNBIhHA7pa88xoEK84u4Ky8E0DCzL4sCBA8ybN4+MjAwQgrmzZ5MxYAAp1arFHXhCeP9pNL+OOJdqpF9f8cYbb9C/f3/q1avH4sWLGTt2LFu2bGHGjBkUHjjgihkd2MqVxC0/bxEUDof53//+x5jRYxh771hat2nNggULuOGG6/37lTXqQguaqkVZW8WJx5S3NXnuuU3o27cPBQUFvPPOO7HyBoUwtL/ZsaJCZGq8FmwpJR988AEzZsxg/fvvkzFgAN27dyctLc0XM952k3QcrFAorrhTByfNr0Ep5U7wBcLhMGvXriUjI4M2bdowYcIETjjhBPbt28fIkSN55JFHyM7OokePnjiOg2VZ+vgrJ4IXIPfch6Kig6xatYpp06cjpWTM6NF+Z5M3BiVYK5VYKKrfu6rD4d5vry7TKzT3BHCkpISBgwaxY8cOFi5cyIknnOB2Ser6zWPCcbGETNz7DuKKFMGePXtYsGAB/fr1Q0rJ4kWLGDhwIKmpqUQiESB+unJQJWtBozkSeBc8y7LYsnkzo0ePpkmTJjz4wAPUqVOHSCRCzZo1adeuHQcOHCAzM4sPPviAUExcE9u6gkNT2ZpfTqKLc+Jw0W+++YZx48Zxzz33cPFFF/H4Y49xww03YJqm6wocyKSVtU2oY0fV4nDvt2GUOgwT2z0ASEpO5p577uGbb74hJycH23EQhtAO48eIY5qpCc5NcbuZ3L1sFXP7BbfDaf3698nMzGTDhg307t2bTp06Ua9evTgRU5bhmZ6cqjmSeCt5KSXDhw/n/fffZ8mSxTRseCaO41BYWMjSpUvJz8+nXr16rF27lg4dOpCbm0taWpo/zdvzutFi+9cT7IgEd4SFJ2YikQgvvLCSuXNzsG2bIUOG0KFDB7+zSSQsfDSan0rQ48hzoV+2bCmTJz/EzJkzad++vX9sSunEtkB1o0p5cEwzNSImXNyLhUM0GkU6DlJJTNPAtiULFyzkzu7dOXDgALm5ufTr1y8maBz/ohDcN/e+1oWZmqOBYRisXr2aZ599ljFjxtCw4Zmu6aMQPPLoo2RnZ9OlSxfy8/Pp3LkzzzzzDCtXrgQgGo3GZSX18fnrCL6W0aiN45R2SG7bto2RI0cycuQomjVrxvz587nhhusxjNJiYKW3pTW/EO8a4/1TSnHdddfTtm1bcnNz2blzZ6Amy+3Y1Rmb8uGY19QEV0zScRCxkQcfffQx4yeMZ9OmTaT3TqdHjx5Ur14dIK5NW6MpDzwDtl27d9O9e3caNWrEtGlTCYUswOCJJ55gzJgxjB49ml69egHw2Wef0eWOLuzcsZNnnnmGli1bxtmt6wGIvw5vzIFpWv7K+eDBg7z66qtMnz4dwzAYPXo0V111lV8L4cUM0zTxh8RpNL+A+KYU93xe+fzzdOveneHDhzN27FhsO4oQxiGzoTRHj+MiokopiUYjCMPwO5t69uiJQDB//ny3dqZ6dbeV1rExDKG9IzTlioo5yq5du9af9xQOJ2EYFh999CETJ06kV69e9OjRA6XctHSjRmcybOgwdu7cxaRJk9izZ0+pIy3affTX4l5IDD/z8sUXXzB+/HhGjRrF+eefz+LFi+nQoYMvZIyEAbZa0Gh+KXEZ19jHt99+m5zcXAoLC5k3bx6vvfZa7NgrtRXQHH3KNVPjiRAhhLsDHvvVXnB/7733mDp1Kp988gldu95Benof6tSpE2e+F3QEPtxFQaf2NUeDgwcPkpGRQVJSEpmZmYTDIQoLi8jIyPAHqNauVQsnttcOrgnX6NGjmTt3LjNmzCAjI8O9GIOfrQlmK/Vx++PENxa4F4xVq1Yzbdo0TNNkwIC7ue6660lOTvazusHOFa8TTccJzS8hznxTuK3by5cvZ9q0abRp04aTTjqJiRMn8oc//IGCggLq1q3rH39B2wDQ5/tRQZUDUkqllFKO46hoNKqKi4tVcXGxchxHKaVUUVGhWrx4sWrSpIm65ppr1FtvvaVKSkqUUkpFIhH//hpNeSKljDv23n//fdWmTRv19NNPKykdJaVUK1asUE2aNFGrV69WSilVUlKibNv2j22llNq4caM699xz1TnnnKPWr1+vlIo/rh3b9n+fpmyklCoajaqioiJVeOCAikQiSimltm79Vo0ZM0Y1atRIDR8+XH355Zdx99FojgRSSqWkVI7jnvfetUxJqZ5//nnVpEkTdd9996kdO3aovXv3qM6dOytAZWbOVJFIiX8sBq+F+vg8OpSLqFFKKdu2lVTum1lSXKwcx1bRaFS9v369uu2221Tjxo1VVlam2rdvn3IcRx08eFBFo1FVUlKiHMcur6ep0fh4wcsLQI8++qhq1aqV2rbtO6WUVHv37lVdu3ZVvXr1UsXFxSoajSrbtv1/waC1fPlylZqaqm688Ua1fft2pZTyb+P9Hs0PE41GVTQadWNISYl6/vnnVbt27VTbtm3Vc889p0pKivWFQnNU8OKAHVuARCIR5TiOevHFv6tmzZqp+++/X0WjUVdsS6k2btyoLrroQnXSSSepV155xT/Hg+e7PlaPDkd9U18FDK2UlJSUlGCFQhw4UEhBQQF9+/WjqKiI/Px8Bma4vjNSSt8LwBvnrtEcC1Rs61MIwVtvvUWLFi2oUaMmINi4cSMfffQRN954I0lJSYjAfYIpZoDrr7+e3r1789xzz7Fs2bK4x/Y+1/ww3kDarVu3cv/99zNy5EjatGnDkiVLuOaaaxDC8I06oTT2aDS/Fm90hlcTZxgGX321hfHjJ3DRRRcxePBgdysKRdS2ady4Md26dWfr1q1MmjSJnTt3xpVf6G2no8dRFzXBN9AwDFJSUvjPxx+TkZFBVlYWnTp1Yt68efz2t5dAbIKuwC3qk0rhSEf392uOOUVFRby7bh0XX3wxKSkpALz//vskJydz8cUXl84bI97AzbZtpJQkJyfTv39/WrVqxZQpU1i3bh2WZfk2BLqT78exbZvnnnuOTp068dprrzF+/HgmTZrE2Wed5d/GcWz/c33x0BwpVEzQeAgBeXl5ANx7773Url0bR0rA9axZs2YNK1asoFq1arz22mssXLjAX9hrji6HETUKRVkrHHcE+2HuEv+lUjiOg23bvulYYWEhjzzyCHf26MGuXbvIy8sjIyODBg0a+PcTQmCYBsQMjYyYmdYhvy7he96qV3dEaY4UQQ+k7du3Y0ej/OY3vwHc4+1f/1pHixYtSEur5VoMWKbfUeNlazzREo1GaXz22YwZM4aiokIefPBBdu7c4Y9eqOoZBS+rEnwdgp/v2LGDBx54gOHDh9OyZUsWL17MTTfdRHJyL4yGWwAAIABJREFUMopS35BwOIwXjHSmRnMkULHWfyEETuxa9u6763j66WcYOHAgjRo1IhKJYBgGoVCI9evXM2jwYOrWrUtmZib16tVj9uy5rFmzBiPmYh0pKTnWf1alxVJA6VrG7SZwlLvqVEJgChOhDISQKGWDMFAYSKUwMDAQgAPKOCSg27ZNKBQCFB988AEzZ85k3bp1pKen07t3b9LS0gJV4IbvBeJqLelfFKTjBDxs4kcqxKtn4dtSJ6b6yhpQFtwi8L4+3MrO+3ni5+VB6WukV53ljXd8ff/995imyYknngjAnj17WL/+fdLT00lOTgLcQ9ezUg92M3nHi1SKm266iTVr1pCdnU1mZiZjxtwb57lU1d7jYOeXY9ulFw/H7VIqKYmyevVqpk+fTjQaZcaMGXTo0AHLsnBs25/vVhZV7bXUHD28LjqEIBKJkJmZyYVt2vCnP/0JpVzne8Mw2LhxI0OHDqV1q1ZMmzaN2rVrE4lEGTgwgwkTJnDmmWdSv359rFDokG5ezZHBIC4n41cFJLj9KhzbRipXAklPECABWWaWRkpJOBTiYPFBlix5mH79+rFr1y5mz57NgLvvpmbNmpSUlOAO0i69ABimiRDEjTgwTDP2/VLnYM/JMShaEtP4QZESjUb9/fagoAmKH+9nZfFDlup6RVg5Cb6v27ZtwzRN6tWrB8D+/fspLi7m9NNPBzjEdj8Rr50TFEOGDKFly5bMy5vHmjffJCUlBek4IKqe66gnGiORiH+OK6UIh5P47rtt3HfffYwePZrmzZtTUFDA9ddfX+pRpUWLppzwamosy+Lf//4369evp0fPniQlJfmC58CBA8ycORPDMBg7diy1a9dCSofu3bvSuXNnXn/9dRYvWRJXp6c58liuIgm+uAYGJlI4mAhsxyZkhBGmhRIKR8Vsn5VyszRCgip7ANyHH33I5MmTefKJJ4lGo1xwwfnk5OSwYMECQqEQKSkpVK9endTUVJKSkuK+DofDJCcnEw6HCYdChMIhkpNTSElJ8QWNd5ukpCRCoZD/Pe/nQdyMUfzzO1K1DD9nom9ihkgf2BWDAwcOYFkWqampAOzcuRPLskhLSwPiMzKJeBlEx3GQUnDqqacyZswY+vbty8RJk2jeogWnnHKKL2yq0jHhCUevIcBxHCzTZNWqVUycOBHbthk3bhzXXXcdKSkpKKV8Z+Cq9Dppjj2u35HNypXPc/rpp9OqVSt/SK0yBP/4xz948803eeihh2jYsCHFxcUYhkHNmmnce++9fPzxR8ydM4fL2rXjyiuvJBqN6lq6o4ClYltOIALSRmBgAArLEDhOBMuKpdhxN4dcF0UHIQ7dwPKCeHJSMh1v6sjVf7gaKSUHDhzwV7hFRUUcPHiQffv28e2331JUVERJSTElJRH/ZyWxfUczlqmxLAszIVMTCoX8r709Ta9Lonr16iQnJ5Oamkq1atVISUkhJTmZUDhMjRo1qFatGknJyVSvVs3/uSekLMvCtCwE+AWdoVDI/b5pYJqlz8UIBNgfC7S/xGTth7bEfsp9EwXUz90++6Hbl/dW3LHCSxV7QWjHjh2kpKT4osbjcK+H49h+5jASidC+fXu6devG3LlzycrKYvLkyVimiUzI+lXm19Z7rbyVrhCCrVu3kpubyzPPPMPvfvc7hg8bxukNG8amIrvCMBQK6ZWuptzwM/5K8fX/tvLGG29y4403ukNqHQfDNNm/33XCv+KKK/j9739PJBIhKSnsZ2XOPfdc/vLgX+jVuzf3338/K1asoEaNGse0rKGyYrmbTKX/gNigNwlKIoWiJFLC199sRYSSqVv3REKGgWUIt35AKTCkW1PjPY5035zGjRvTuHHjQ35pWcWAUkps2477fiRSKnC8zwsLCykuLvb/FRYWUlJS4t/m/9s78zA7qnLd/9aq2mN3J52REBICMSFAIIQkYCAMgfOgFxEvKuIRjzIoetDnYYgHB0QQokD0AoI4XDUcvOLx3isejno8BALKEAgIwjnMKl41EpokZOhpT1W11v1j1apdu3rv7s5EOp16n6efvXvvXbVr17DqXd/3fu9XqVTo7e0lCAKq1So1r8aWLVvYsHEDtWqNWq0WvVetVvE8D9/3o+c2xOi6LoV8nmwuZ8p1BeTzBTKZDJlMhmw2SyaTIZfLRc8zmQzFYpFsNksulyOfz5PP5ykUCriuG0WVLHGyEao4YYqn15KPTiIFtyPEKB76jOuRkim0pFvzYASq2fEcSucw2PqSka/kcnviwpdS4nke1Uol2g57HOz26XDWRpNj47p17YcUgkKhwLJly3jqqaf41re+xfz58/nwuR+mVq0gHIkUclRHIyxBkdJEfWvVKmsee4yvf/3rlMtlrr32Ws4880xyuVxDJ2QnSlGpAedoihS7C1orhJCsW7eO7u5ujjvuuCgNKqXkiSee4JVXXuELX/gC7e3tpuoxUGHk1UzMzzzzTJYtW8ZXvvIVbr31Vq644gpyORMssFrQ7R3XUwyEa5QxVlcjQIEUEqEUGnAdh4fWruWf/ulKxk2cwlev/yrHHrMAq7chPNi2Xkojwh4rrb+0mT5FStkgmtJKkc/lBsyEtwe2Gsr3/agSKwgCgiCIyE38z/O8iOyUy2WqlSq1Wo2+/j7K5TKe51EulymXyxGpskRq27Zt1Gq1aLCOf5959PH9oKEizN4o7W+35CciRYU82YyJGsVJkuu6EYHK5/Pkws9nc7mIVNl1FQomZZfL5cjncuQLBbLZLFIKpHRiN4k6eRCAjqVBdoQ82Ys9Op4JMmLJVfwirou2FVI6prxfNPbrSV74SU1UJDoNS6wHIwatCFL8dStGtf4UNc8DTPSuVqtFRDz6LU3CycmUo3QctFLMmHEgy5Yt4+Mf/zgrVqzgiCOO4Ii5c6M2C2IHj8FIhSUxJoXkRedf18aNfPvb3+aee+7hlFNOiSpKrI4hntqrjxfNj+uuIL3pjDlFEqbTNvz+D79nypQpTJ8+HTBNmKWUrH7gAWbMmMG8efPCJXQYwTfLKaWQjsNFF13EM888w3e+8x1OOGEJp5xyqul7GDa9TM+9nYebrOqWaFCGnkgp8Goed999Ny+99Ao4f2L16gdYuPBotFA42KRVKNRFhOmnndsoW0IH9RsZNAp/kzP9uPA3PgjaVNSuRvLki5OYarUaERdLlnzfxwuJlB++ZsmVJUv9/f1RxKmvr49SqYTv+5TC6NS2bdsiMlUul0ONhoqapdl9ZYmSfd/zPdBEegRLkmx6zpKeQqFAe3s7+Xy+4b22tjaKxWJEpEzkSkQEy5Iw++i6Lh0dHYgwItGMWMSjHPFjGIdtBhdfJgn7u5PnRpIsNSNQzbRQrQaVtrY2fN+nr68PgGw2G6WS7HYMljZqIEoh6UVr3v/+9/P4449z2223ccstt3DLLbcwduzYht9k+8bszYgMOEPdjJQOruPw4IMPct1111KpVrn6S1/ijHefSVtbcYCJXhK7s+Kp2bHbVetOsfdCa80Lz7/AgQceyKRJE40WLJPhjTfeYM2jj3LhhRca0b8yE31LaKA+Tk2ePJlrr72Ws846i+uuW86cOYcyZcqUaAKenmM7DxckQmu0COughEk9CQRoxd/+uo5HHn6U8847jz+8+idWr76fj3/yY0yaMB6lFY60TbpaOthsN+yMrlm79uEOcPGKqOSyyRtQ/D1LBprNDu3A3Ow7bQrJ3twFIJ3GE7sRSYF2c8QjHjYqYbfREqlKpWK8D2omvWZTadH/tSq1qokq2Pf7+vqoVquhlslEpkqlEpVKhQ0bNlCtVqlUKhG58jyPUqkUiTpNdMlB67rTq1KKTFhia8OqtnmgJTvFtjaK+Tz5kCw1EKh8nkLRRJY6OjrI543GKZMxkSWbFrT72uqn7D7JZbPk8vnoe+PnQpIUJI9fs4iIEAI3FJjPnjULz/PYvHkzABMnTqRWq9Hd3d2wXDNSlCTi8XPMdV0uvfRS1q5dy1133cX8+fO55JJLcGL2BaNiBmevpfC6XrduHXfccQc/+tGPeMc73sHll1/O7NmzI+IdJ6HJqF/japuT053bVD3gPEix78KeD329vXR1dTF79myyWZsWhT//+c90d3czf/58oPn9xZ5DXq3GEUfMZfny5Vx22WXcfvvtXH311WSz2QET8hQ7BtcwEUFdMKwQEgiMPuCBBx5ky5Zt/MM//D0PP/IYX7/pJp5/4XlOPXkpXhCgHAFK4QhwpGRXmBQ3IzRxO/lmKYs4iRlsFme1I/av2QzYkXXPneR3DPaaXX98na2EYErphohWfD0m4qKikGRy/Tbkaau9isVi09+7o7D72j7aiI/VHlliVC6XKfX3UwqjRn19fZHA26brLGkyJKmM5/mUK0Ygvnnz5ijlZwmYTemUSqV6REMIspkMbiZjHl0H181EOiSraYoLx21lXLM/G3WyKT1LqnK5HLlsFidGnqJ1Og7VapWuri4AZs6cieu6rF+/fvCdac816udo/Bz2fZ+DDz6Yq666igsvvJDrr7+eRYsWsWTJ8cY6IRZl2luhtTa+VkKggoD77ruP2267jZ6eHpYvX87ZZ58dDeqBrWyKdTQe7LfHyY+9podKS7Wa3LRK9Q0WqUlvQPsGtFaUw0nefvvtBxiH62w2y3PPPcfkyZOZPm0aWhtX4ebr0AgpUYHirLPO4rnnnuOOO+7ghBNO4J3vfGekyZOpd81OoWHvGVpjPGkcZazhf/PQbzjowIM48sgjKVXKuFLwH7/6FSefvBQlHVABUms0AVoLktVQO4JWaYZm723vgNJq4BKNDGPAe3W9R3OTvmYDZqvvbrYd8cFRJshhKwGvXSaZfhnuTbDVLNcuayMEcWO4jo6OIdc7GGy6zPc8gjBdFqXJwlScDrclnrbr7eujUi5TCQmQjSzZiJQlUlbvZFN4W7duNesIReBxnVOtVoucPWvheqwWx4rBbbotk8mwbt06vvvd7/Liiy9SKBTo6enhkUceYfbs2RSLRdrb2+no6IiiUiZKZYTz2TByZfdjMiV6xhnv4qKLPs6NN67g+uuv584772Ty5MlUqxVcN7Ndx3UkwZ67juPQ1dXFypUrueeeezj5pJO4+FOfYvbs2dFnpZQQ7heBiIwMW5GV+Gu+55lqxSGiukAUJZOytVt5fN2txphm2xU/RmnaavRACEmtWsXzakyYMAGo24SsX7+ezs5O9psyZdAAvB2jldbk83k+9alP8fjjj7N8+XLmz5/P1KlTG4plUuwYIp8aUVfHIIUEqXn5pRd58smn+MCHzmX8uPEcOXcuhx9+GKtX3cell1zGjGkH4AdEPS1MdAFg1+f/hxoYWpGNncX2rndHPzfYcq1CknESNBTxaTXAthq8hxudSmKomauUMkrR7fANOqa5agZ7Y7GaJUtktNZRVMjekDzPi8iT/Vy8is5Gj7q7uznkkEP4y1/+wrPPPotSivb2dh544AEeffTRhv1vNUvjxo2js7OTjo4O2tvboxLwjo4OOjs7aW9vJ5PN0VY0rx9zzLG87W1vY9WqVXzj1lv53Oc+y5gxY/A9PxIabueu2E1olWhuTuRrNY+HHvoNN664kcfWrOHss8/m+CVLeO1vf+P1118nk3HJZLJhqtGQSUdKcvkcuVy9enCwyYRokhZudR46jmO2tNl1baNKMWJiJw3xyUNykhW/NnZFJUurCO9Qn93R74KUfA2FUrlMd3dP1PsNzFizbds2isUiUsqoAKRVVM/+KaWYPn06N918M+ec8wGuv+EGVqy4kULerFubBcKL296jhwoY2Oty3z6OLsJHYFohhJQGrXyEhDWPraG7p4elp/4dIJiy32ROOfkkbrr5Nn7326c5aNoBCBE6LQonHFz3zA7dXRfkSLnQh9qOwVJurd4fikht7zYM9pmk4BuIxKBxctNKLJdcNv6JeIQqfgNyHCciUPZ7tvt4tmANQRCwfv16urq6ItF2pVIhCAL6+/vo6ell8+bNbNiwga1bt7J+/Xr6+/vp6emJhORKabSQoBQ6CMhlM5RKJZCCO//XnSw8ZhHvPessU6kmZNgmZE+QmCSakZpG8mtutBIhYO3ataxcuZLubVuZN+9IXn7lJV66/iWkqFfe2Vmv1WxBXY8VTwMWCoWo6i+fzzN27NiIREZeVKHfVFT1F1oo2BRlXJNlyXXkTRV+j9GJOQzWTLcVgdrZMWOoa6DV9yQjtq0wmKC92bqS116SwO3u6OGuIl1DRftafV+dODe61gsIU+Vl2tragLpzeKvx0/7Zyr5FCxfyhSuv5ItXXcWCRQv56Ec/QlRZHH6H1iBF3U+uxa+L/clBPjf64aJthMZAAEhBz9YtrHrgAQ6dO5cjjjRlaq6bZ+nSpdz2ze/wy1/+ktNPfxe5fAalNUqbUnDQ+/L+TNECrWbZSS1EUuMUF0cnNRB2HfHl42kdG50ZLHJll7XrsoONfS8pWLU3Xa3NTOvAAw8c8rcrFYTbYkrEZTjwVSoVtmztZtOmDZT6+ujZ1k13Xy9B+L1T99+fSqlMJpMFCbKFLsRu41s34w6v84jcNE8Xm+0RLFq0iDtWrgSp0SqgWq1R7i/j+4re/r5I6G7Th77vR2lEK1ivVqsEQRCZdHqeSSm+3vU6lUoF3zPpxP7+/oZom7VZsETGkhghRJRWtOedJTXxz1ryZFORmUwmcjy3qclCaJOQzWYpFgoUQlsFuz77aF8DIluGepqyfsxapdiHmrg0IxfNSEezlHP8/1brara8Pf/iywxFmpKaph2dsDXb/uT6B/tcq3W3Ij6uY/R71hQ2UqGqgHxYoJCssmy27vjx1Fpz3kc+yjNP/47bvvENFi1YwLwj50UmnCL0ghv+Nb1vtVlpBhcERFqY8E/CH//0Kk8/9TT/7d3vpXtrL15vD67QjB87lqn7T+GJtU/w6p//H3MOOQRXmgoqcwDSLtkpBmKoqFCr94ejoWq1/FCDy2Drs4/1nk00PLcz+DhJav0bYjP+MGoEkM/n6ezsZObBM5oup1AIrQCJVhqtRZjitURO4Tj1G6LVirw15d/DG2SDAIrFYhRdUsqnvV3CBAFK7FBdga2QsvoD+9yS0KQnlSVGlXKZSqij6u/vj1KLpVKp4bmtHrT2Cdu2bYt0WZ7nUSmXqXm1yHfK8zw838cPlwGi6I/9cxzHkKNcFtdxI0JlI4mu45DJZkLilGXMmDGRRYL1nrJ2C7nQb6oYVhDmQoNQG9GKnwOO4wxqCTCcNHgrYtLsuotHeMyx8BGhkWR88iGEiNqCDHWs45OfZqRhqAiW/Yxtihy/vuNeWPGIr30/+Rsdx4lsHKzeUEoZER27zlaWFQP2l6/IuhkuveQSXnz+RVZcfyPf+/73aGtrN95mnod0JQh3mJec2OeTUBGpAQUiAIwC+99+/gs2b+vj/vtWs2btUzhehYz2CVyXrk2bKVVrPPbYYxx62Bx8PyDrhCxdgdi7LTVS7OXYHh1Us9D6YAO9HVybiUyHCv83+y6FRgqJDlSoZTNkpiE/HgQgjWdP/MYddzSF5t4/uxet9q+IVfcptE7uP4XAOpCLpmtpJWK367Dpo90NpVQkMvdC40V7U/M9D99qtULxO5jmudb5vLenh3LoK1Wr1egv9VPqL0V2CZZwbQ0/X61WI61XvOrQErkgCCJzxiAmgHcch3wuT76QJ5fL0tZmWsO0tbWRyWQaKv+KsbYwxWIxihblslmK4eeTrun2tWQqz5KleISnHu00KUhzTta9z+x5E9eItZocNHuejK7GyZL97mYibkto4svE0SrtZGFTm2+++Wb0vpSSYrHI62FVpB0XWonUk5CuRPmKQw87jK98ZTnnX3A+//O732XZss8QBPV9qJVGOIONZ/Fcy75KZwxi5nvhQRAOXV2vser++1m0aCGfueILjO0cj6hVyTgKLQQvv/pnrrzqKu6/fzVnve99TBjbER5IQO7bOzTFnsf2pF+G+9nhDLqDEYrBIjlaK6QjQ9NLTBk4ColAKx05dGvqM8dk9ZRd/55t9ljP+UtJTDRJ+LpGiJCcqcBoFGi8KSZvKMMhqMNJd8Q/Y4igcdRuJaS3+iyry1JKRdGQwbZjZ/e7jSgYf6la5ENVrVZCo866rULcp6q/vz/ymapUKvT39UVkqhpGprZs2RJFpUqlUvTc3pzNDgBC76k4gY9rQSyptOk5q2HKZDO0t7VTsO1higVyuXwUSbJkypIkm46z6T5r5mltGtxMhkwiTWfPe6UUUohI7B3f98Mh9vazzSJY8fRzfN1jxph+ga+//nrD+5MmTeLVV1+lUqmQz+eHPaGCUFcoNJ7nc/wJJ3D5smXcfPPNHLXgaE499VQq5QoO2owPQ/+qhv/21YiNSwCI8CALATj89qmnefmVP3LZ5Z/hnA+8v85TjHCGY3t6+bdf/Du/fWItf3zlFfZbshjteQjHNaqmFCn2UmxPuqrV8+GuVwiBjEcqbGQjVAcKEYt6KiNUrFQq/PWvf6FcrpDJZJg6dSrjxo0DzCArt2NA3VUwjW1N6TpCorQAAU7GhcAHZDjbNK+bz9Ggexxqvw+G4f7e5M0mOeOHRkF7XCMSfz/5elyfZcXvccFocpm4mWYz/YbjuhRcl8JO+k/FtysenbDRPq11g1lnsg1MPA1niVRS/1SreWEj4np7ma1bt9ZtFioVqiHRilcYWq2RDvezI02rGCEF2Uy2wUbCRoTi+qW4GNwSJUuybEou/l69GbET6Zninlb2uXQkWdd4YiWv+WKxjenTp9PV1dWQ0ps5cyb33nsvmzZtYvr06Q3tPZLnT7NjZM4bheMILjj/fF544QWWX7ecg2YcxIwZMxqOpfmn/lQIo7nRIha1Ct9TmOiv0jqsat436I2rQy6jlUJIjVcr8Yt//xVCSk477R0goFpTZCVmgJIuY8Z08J7/fga/Xn0vDz64miWL325OUKWNPidNP6VIMSwMmFtpjRQQoPGCABcBSiPcPI8+8ijf/8EPeOKJJ9myZTMdYzo4/PC5vOfMM/n7D36Qjo4xBEozSMHOLofWikAppAyJihA4cRdtJ6xqQuNrCKo+TigPkEIhd4P9QxJJMpM0tIxjKOfioTQn8ZuxfWyl7Wq2vqEiUs1IUKtti0daWq07l8vttPeUTZPZtGj8efx/m0qr1aqUy5XIbyopDLf6pkqlMkDjZKNLvb29vPnmm8YtvVajUq6TsLiRZ7VabSBG1jbARoNstMjql6zHVLxJsU07dXZ28txzz1Eql1izZg0TJ06kra2NsWPHsnnzZl577TWmT59OrVaLKi61bjRZTcJGnmwqNZPJcMVnr+ATn/wkt91+O9dc/SXGdnaaNLU2KTStApQOUMp6iJmqZT9QKBUgXQelAxzpEKi6ZmjnHeT2Dri2YMmEaxx8v8qsWYdw6aXLOHrBgjCvZ3L6KtBR1ObMd53Bixe/zH6TJuPXamQLOVQYKk+RIsX2QoEwKVxNGKURhtB45TL/fNcdXPfVFQAsXbqUCRMm4PkeL770IitWfJ1CsZ1zz/1QUy+bXYNmwWyNUgFaBSbfhPW2ehalNIGqIB3J1AOmctS8o5kwYbKJRGgH6Rihs9YBJpIzsseN4QhoW/2/o9G94W7DYOvZVfs1qWGJrzuurdndsNEwpRQqCFCh/kipsLow1DjZyBAQVcVZw077f29vb9QyxpKnUqlEf/g5a71Q8zz8kCyVyyW6ut7g/PPPj/aFUopNmzZxzTXXMHXqVLTWDZV11mcpaTEhhGBM59jQ580YdBaKBbRSHH7Y4fzwzjuZPWsWn7z4k0Z3F0ZlkICvcTNu5C6nQ7NKx5FU/RpCgB+EqWiEaWm0j0QbhDZqRQMJyjNMz0RofAQKocFxhanWllaFXe/EXa16YW8eaSI1qa4mRYrthAKtwkYlZmAWWuNoePyRRznnwx9lyrSDuenmmzlxyeLIbXfLtl4eeWQNE8aP55hjjkE6kHF2Rwoq7oFRf00p3wh/pSDQPjd89Qa+/OXrmTBpP3JFl2q5RKVaZe7ceVx66TLOevd7cFwJ0sMREokLvPUpsxQGQ6VGkkLc4aRUtvd7hrt89Kh1ZLYIjcQtStOEn9kVOicb9env78fzPLq6XqdSMdVOVtf0yiuv8Pvf/55qpYIftoyxdgJ2eaBBxGzTfzrQBCrA873ILNT3fbZu3cqihQu584c/ZPr06fhK4wgIfA+vWuHlF19i44YNKCHx/IBcociU/Q9g1pxZuBlJRjqosFpShNeY3AdiNa4ZqgxxwQchHfzAOHw5roMOFKYflIvWmJ0UEhrfN58zzQx9TLRnz/6gFCn2Suj6zcLMyhRKKzzf5wc/+D69vf38jyuu4OQTj6PmK6Q2/cPa29s58z2ng4YgUKZKwt0dFVD2wtYNj8bGwcwEdaDoL/UzbsIEblixgmMXL6Cvt4enf/c7br35Nj7/uc+z//4HsGTJYrRWYc4/tspRhMGqt0YShhPl2d402fZ+j8VgPkvJCidNY+VTsjouUAFCEYm9m4nJ7XLJlKNSKmrWbEXMrutGrsHTpk0bsH1Lly6N1m3ujUGD2Nr6U9m+fo7jGj+lcjUqfS+VSmzbti1MyQWUSv1ks1nGje1EWxma1riZLJveeIMvfvGLrHnsMcaNnwDSoVSu0DluAu84/TQ+/elPc8ghs5HCQVPfP7plveHogWuCLlZgpAFTlSCFKcskdDK1IeL4+SZCYSOJEypFihTbC4FGIoQt51a4TobX1nfx6NonmDf/KBYfdzwacB2JDjSmIEKgfCNElUIj3N15/YU3g9h/OtAmf++AkBopwcnnOPBtM5k3Zy41PN6+6FicwOGyyz/Dv/7sHo4/fjEIF019IqRjax0NI8jOkoB9EYPtowFapzANFRdkN+qmnAH3pGbRpjjhiWuQbKomLqq2FgpoHerIZFTCnTT4TLb1kDKMkcRUlKYCAAAJRElEQVSqFm06yopdxgPTZhwYVXbpMNoU+B6gcKREBWZbvWqFnm1bOWrekVxz7XUU29vZsHETd9/9U1Z+73v09PZw8823MHHcOLQy923R4Eauo+YLow0uhAdd1n9g/eAKTB+nRjJj4TitewqlSJFiOyAgLGFAhNFQkPzhj39k05Zujj9lDmPHjwsHIo0QodmlAKlltLx4y8IeAqMDUjg6HDvCKgsNlL0aFUAFPq7McNS8I2kvFln3l3XUqjXcfMb+krdwm1OMFkQRmxZan2R5d7NoUzMBdTMy2mwd0nEGRIcG86ka9DWRfF2G+rrAKGZkWMyjYwYsYZ/F8eMmcMJJJ4WVcoqTT1pCd28P9/3HKp674GOcctKJpvopEISaYrP8KCY1Eb20ByMZckxGZ5IYSqiWIkWK4cHmvq1uHxTbtm1F49PW1ma0KPZzMiQVmAFPhI+DXqy7ajupj8NSChPJ1SCQpuIiULgy7LYtJUGgKJXKaC0YP67TVKMQttDVKly23lQ3RYrhoNU9a3d9T7PX449xP5+d2Ra7mAwNN026TRuzfmHytY6UhlihCLwagV/Dq9Yo5PMceuhh9FfKvLFxQ7R90km2LzITitGIt9J+NEWKFENCh15PDhCajWlB4NewIWOtVRRL1gRGWIzCyox3H1Tjn9YYn6uwiEBLAqVwcGjLFxBAQeSolCvcc8/PqdVqLF68GMd1UVqZwSeWCkiRYiRgexyBdy8avWnC+hwIzQGVVihfmcoqN4ObcfF8jz+8+ifGdk7g4INmhtojjR94ZswI16lHsfOwO/RHUqRI8VZAaw3C2KLbRPv48RMQQvLm5i2Uy2WKuSzGkTes7ggHJoWZe+1eGWAyTh4+KluRYshOb28vv/zVvWzcuIE3u17n/lX38uvVv+Fdp5/OGe863WynDoPf2iwfWcDvK2YaKUYsRk7moS7OF7YIx6bY7PxFCjZ2bSBfLFCpVfnnO1by8K8f4oMfOY85cw412h8CpAzCtTijNkJjsUtIzUhV9qdIsdchvKmrQIMuM3vWLCZPmsx/Pvuf/PWv69iv80hU2NhS+T7SyRgpDmHFB+CI3XU9Jtdp+sQJNDgKpEIIhedVWPmD73PXSoEOfOYcMpsrr7ySC867gEn7TcRHGSGnnQ2nY0eKFANQL6lXoOPF2KbFRyGX4+GHHmbJ8cdT9jwq1QpthTyf/dzn+cdPf5oxHUVUEIRTHYgqFmOvjEbsElKTEpoUKXYeIowva216EyklGTduAme//2xu+NrX+MmPf8Kct81kTFubqdDADFMbN2+lWq0yaeJ4XEe8tUllgdHFoNDKRymPceM6+eI1X+a4RQuQwJRJE5k27QBE2D7BFdYMTA7kM+lQkiIFENfsyHr3oXDSIwRUa1VmzjyYiz7xCSq1Kg+veYSnnvwthVyOtrY2lAZHSHy/RtYNo6JitMqD60jTTylS7FEokizE9ElSIASZTJbzzj+fXz+8hm/echNbNr7Bhz70QcaNHUO15vNfzz3Pv/7855zzgXP42AXno4OhuvnuSpgydKRGaBVVTAqhmHv4YSxeOB8wnh2EpmlKKYTjmPLUkNikSJFiCNQzUSBl1EZl2vTpfOLii8nmsnzkox/hHy++mBVfW8GRRy/klFNPNJ440kXoeol4g45tFAYkUlKTIsUIgw5LQ7VS1Goes2bN5pu3f4urr/kyP7v7Z9z90/9DLpclUAHSyXDU0Qs4euHRxrQP/y1MB9sOxhg/KyRaC0QYgSn5Cqk0GSf08hACKe3vc9KWKilSDBNmPKhzEKU02axp/FmrVsnmMkzZfyqfuOgiHlmzln+564cct3gRjuOSy5i+jFIkJ0974Ie8BUhJTYoUexwD1bHG80IiZQbPC1hw1Hx++n9/wrPP/I41ax6iu7ubzs5xLDnxJI5asIBCrgAoCHbnYDWw/5N0Mgjth67CDkpJfN9Ho8m6EuUr45OhFNox5agCYRxSR+uomiLFLoa2Q4SyXjzgeR5SmH5PQkg8r8axbz+WJccfx/2rVvH8fz3Pcccda1wTFMR7x4qoSnL0XYMpqUmRYo+jXmppIMJuvMYHJpN1CZSira3AiSeewIknntCwtLJWWrZH224ZqBrLQQWEKSXQSCNIFA7FYgdt7UV04EVLSiFwsi5o30RyEs0Pk8Wzo2+YTZFi5xBNAMLGsWiN47im6lG6KAWOm6FzbCfve+9ZrH7gQe5btYq3v/1YdBBKaSxCbc1ovc7ShHaKFHsUkUcokZmedBDCRToOTkaA8HGc1uI+icDBWLsLsbvmKSLc1lgVhhDGG0c64GRAZDn33PP4l7t+zLy5cwh8D8cFLRUaRdRyJcG7ROIvRYoU9etNa4nSEGjr56SRmQzVmk+p7KPIIIRDEICbyXDSiScy55BD+Mn//jGbNm7EccEXPkoYsxtlwzZqdN7+TZfuFClS7EGEN300Akk9Tqxj7znheyMLvu9HfXGEECgdoKVGme63BEFALpML3ZIhpS4pUmw/AnM54QqF0AGlvj6efPIZHDfHMccvJuO6qMAj42hqVZ8nnvwtb27ZzGmnnUaukAMhcBwHV8SipKNUKJySmhQp9jgModGoBKkBY9kLZtY28gageJdkMGFyHx8/8JFhCXfGzSCFbYIw8ohZihQjHeEcASk1QvvoQCGcLEqDH4CZECmkUKhAk8nm0Giju3HtNSdwZX1sMQaeI29M2VmkI0yKFCMEomkUIx61GXmwZCZq+ofAkRJXOriuSzaTNb4aI5CQpUixt0DrcOKjTA8o4Th4tRpKaVzH9JkyLVU0wpEopVBhF3OhBSgG2CeMRkIDaaQmRYoRgKRQODnXME0QRmKkxiLeodj0ogpbOQhhojRaQOpJkyLFDqF+l9YIq/rVxoVPBRrpWO8ZHxvVNb5Rra+50doJICU1KVKMCMQbUe59pCaOuj7Ibu/es+0pUox8xElNs/f27WstLelOkWJEwHi4jIYBaaAgeO//TSlSjByIhoem7+3DSOPBKVKMKDQblPbGgSot0k6RYndAMzBh/VZgb0lVpaQmRYoRj72NHIzMSq0UKUYL9ID/dIv/hruO0YOU1KRIMWKQEoEUKVK0gm7yLEUSqaYmRYoRgZTQpEiRYnhIR4vWSElNihQpUqRIMeLRypN7sP+GWtvow/8HJljL/J2RagkAAAAASUVORK5CYII=)
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjUAAACiCAYAAAC56TxKAAAgAElEQVR4nOydd3wUZf7H38/M7CaBQAClqGdBFFGaAiqeWO53nhzWExsgICWASOhIkcNyNKlJKEkoISBYjrMjngpWTk/kxBP1lMMC6olILwnJ7szz/P6YncnsEqwQSPK8Xy9I291sdme+83m+z/f7+QqllEKjOcooqUCAELGvUQgJSgLCQCqJdGxMy4r93L2tEMK/TzxlflOj0Wg0VRjrWD8BTeVDcajkEIBSCkcpBAoDABOhwInamJYJCKSjMCyj9LGUQimJYYjDPKpGo9FoNC5CZ2o0R5qyRI2SCiUlwlAQy9JgWm46xjsCBShH4ij3EYQQGAaAdH8cl7IpS+RoNBqNpiqjMzWackEYAilVTIoIHMfmzdWvs/V/36NMQdQuIblaMqedfjoXtLqAUCgJI6ZZhDBxhU1Zckmj0Wg0GhedqdEcccrM1Cg32yIdGxPB3t27+b8rr+KzTVuof1J9JA5FJUU4SK76/VU8+Je/cPrpDTHdVI0rcIQTezSBztRoNBqNJhGdqdGUD0ohDGIiRVBysJg9e/bQus2FTJw0gZTqyezcs53nnn+OBQvyMa0QuXnzSE5OQikwfvQXaDQajaaqo0WNplwQhoFColAYAkzDzbPUrl2Hlq1bUa1GGIAW57fk3XX/4pVXXmHr1q00OvMMv+QGL6lY2kKlkzUajUaj8dELYE054BYHo5SvQZRyv7adKNKRoEA6ktTUNNJq1QHDILZj5d5bb5JqNBqN5kfQmRpNORATNbhFwggQCgxhAAam4frVGKbB11//j81ffkWz81pSt+6JATHjZWm8z3WKRqOpWvzUlY2ODVUZLWo05YwEDIQAw1Ds2rmdV155jWo1qrPlqy0sWJiPMEwmTJxAWloqtiMxDAMhyghoOnZpNBWeYK+KKNtpE1fQyB95pETLB01VRIsazVEmEIgEftJGCIFlhfjg448YNmI4lmVyMFLM7j37OPusxvz30//S+KyzqJlWLbb95G1d6WCl0VQmhBDu+X1YQQNe4FCBhK3icCJIx4iqjBY1mqOMiPtMSYUwJMIwcByHiy9sw+SpDxFODqEMxZavviI7M5NBA/oi1By6dO2CBASGO1rBfzwduDSaio5CoqTEMEyUkrHz2zOocj9IJV3hI0EItwxUxlSNCDp36pigQYsazVHHDTRuilmhDLd5SUqHqB2hZmpNmpzbhNSa1VBIWjZvRoMTa9Gh/TU88/STXHvd9aSm1UAJgbsDpQOXRlM5UEhlU5qBESglEEqBEZMrfgZHgAQlQBkG0pFYppev8dCxQaO7nzTliDvDyQBhIADLNInaNo4jsaVD1Ini4HDKKadw5plnsm3b9+zdtzfgLKyDlkZTmVDSwZE2Ujko6WZtJLHht8Rmv0mFUMoffhuN2q47uRKuyoFgL4KmiqMzNZojzmFL/QKBx5ZuG7cwIClsYRkmtgQTg40bN7H5y8106HAdJ9Q5obyetkajKVcUpiFQUYVSDiUlJXz2xWbee+89PtzwIdFIhBPrnsjl7S6jVevWVK9WHWlHEcLANEykUhgYuIPkNBoXLWo05YPCXVkhQEqklDhSsmvPTt5c8zYp1atREi3kk08/4eFFBUQdh2uvvZbqqSk4Kjb3MlYlqDM2Gk3lQEmJIQRFRUVkZ89h2aOP8/333+PYDuFQiKKig+Tl5NLhj+25d+yfadS4MVHHjQOGNwxX6XigKUWLGk05IRAiVgwoBOGkZGrUrsW/P/g3d9xxB8J0szYKybnnnMu8nHncfMutOA5gHuvnrtFojjwCIQR2NMpDD01h+swsLrnkUqZOm8q555yLE42ye89uHlmyhAX5+Xyz9TvmzV9Ag5NOwQpbqNhixxc1uphCgxY1mvJCCBQK5diYhkVqrVrk5OSwZ18htlI4KAzDpE6d2pxz1tmcWKcOtuOAKC0iNHSGRqOpREiEEWLt2jXk5OTyuyt/x4KCAk45+RSUBNNwTTYvatMGI2QxP38RTz39NHffnYEjwRSlE1M0Gg8tajTlgtvxJDHMMBhghcO0vfzyw0clBZZhoQRIIQOt3BqNpnIgUJFinl+xguKITfc77+TUk08hqsBAIiUgbcykMD16dOepZ5/mxRdfoHuPHtSpUwsllVY1mkPQCTvNEaesJgQpwTBMpAApFVIBSJSSKKmQgOOOg0I57oMoqfzqYvWjbqIajaZiYVBUXMKmTZ9Rv15dmpx3LjYQcRxspVC4rd2g+M0pJ3NGo4Z89fVmtu/8nsRmboQbJXQDlEaLGk25ELegMkx3YCUKEWjlNFwrCrelE4UwBErImK2WXpFpNJWNXTt28t227zn55N9Qq86JOLgz4IRpui7DscG3ycnJnHHGaezZt5fdu3e6okYId6kjSju6tajRaFGjKRcUxLIz4Dg2QnjDLQ0M03T9a3AXZqYRi1KogJTR4UqjqWwIAXbUJimcTGr1GkjpxgW3psaIFQI7mOEQoVAIRzlEbce9b+wxPJM+jQa0qNEcBcrKqXhixRQGlmFiCBOEicJAKglKoaSblUHgVgEabseUgen6UWg0mkpFcjiJ2jVrsG/vbgr3HiCkwFIgpMKRyrVxUJKS4oN89+331Eo9gRPq1PMzNAL3tkIJDCV0lNDoY0BT/gR9ZoQQ/kA7L1uj0WiqBtVrpnJi3bp8/902vvt2K5YBdomDJUBGIyjHBiHYtWMXX3y+mQb1T6JWWpq7Ta1iCyhdLKwJoK8immOOJ2w0Gk1VQpFSowatL7yQrdu+Z8Xzz6EkhMImjuO429KmCULw4gsv8NVXX9H+6vakpdVCKW1fpSkbLWo0Go1Gc4xQXHv99Zxx5hnkF+SzeOky9u7di2kKpB3h4IEDvPDEE8zMzOS8pk254cY/kZyc5M6DOtZPXXNcIpTSFVaaY0Pw0JOxlZmKTeXVmRuNprIjkU4UBPztb08zctS97NjxPZf+9lJOPfVkQii2fvM1a99ay7bCQjp0uJasrNk0PKshSilMoTCEgUAF5j/p/E1VR4saTbnhOG7XgpSO61njODhSEg6H2b9/P6mpqa5BnyFQCgwj1sytRY5GUwmRKGUjJThSse5f63nqySd4+aWX2LJlM6ZSnN+8GR2ubs+Wb75l2fInOOvsJvROT+eWW28hLS0VyzQQynbdxoWBEoa2f6jiaFGjKRdkbIhlnEARsH/fflauXMncuXMZPGgQt91+O9Fo1PsxhmlqUaPRVFJspwTbdgiFwhiGhZSSwsL9rg+NE6VaUjJWUjJ2VPLMM88xdXom//n0E7p27cbUqQ9RLSUJI2biaRgGwtQm+VUdLWo0Rw1vK8n9XKKUm60xY740H330EVlZWbz77lpSU2tQs2ZNcnNzOO2000vXWgFBo4WNRlO5UMoGZWA7Doblbj8bKNfHSjkgXbcq5SgwLL75disv/P0lorZNt+53UCO1OsKRfveksHSZaFVHixrNUSNe1Cgcx8GyLIqKinj22WfJzMwkLS2NESNG0KjRmfTvfzctW7ZkwoQJWJaFAKRShEKhY/uHaDSao4OUSMftzZYIMBRCSZRykEgsTMDEjtoIw3SdhoWBdNysr2kKlB3FsqzY0Fzd4V3V0bk6zVHB22qSUvoFwZZlsXnzZqZMncLrr71Oly5d6N69O6eeeipCCAYMGMCoUaO48soruO66610RZJqxOhu9AtNoKh3CwLBiw26FwDCMmPO4wkQgMFFSxBY2AkxBSdQmHLKwbYUhQBlmzLBGD7jUaFGjOYJ4mRlPxNi2jYgFqqLCQh7/61+ZO3cuJ554Inl5ebRr1w7TNHEcG8Ow6NChA//85z+ZNGkyzZu34PTTT0cnEjWayot3fhumgTe9SQgBym0SAIHwGgaUQilICllIJTFNBRgYlnCH3yK0ptHo7SfNL8c7dDwhE9xuikRKME0Ly7LYuPFTZs+ew5o1a7jxxhtJT0/nN7/5DeCu0AAMw8AwDL788kvuvPNOWrVqxdSpUwmHQv7UJ11To9FULrwY4hb6CpSSeB2PSimkFLEuyOD5r3DH3rqjb4USgIEQOpur0aJGcwRwg48rTrxOJdu2KSkp4amnnmLu3LnUqVOHkSNHctlll/n1NWass8kQAjv2tWmarFixgqFDhzJt2jRuuummOLGk0WgqD47jIAzXa0Y6Nqbl+sy4lyV39tuh288SV9TEFlVunyTaS1YDWtRofgHBbSZPnEBpHY1hGHz++efMmDGDV155hW7dupGenk79+vV9rxrHsbEstwDYEzaO9HxsFKNGjeL999/n4SVLOPW00+KyQhqNpmJTmqHxYon0falA+RkbMJBS+jEmdu/AP/C2qcoepaupamhRo/nZOI7je8hIKd05LUIgDIOiokJWrHieOXPmULt2bUaOHEnbthcTDifFiaHgAEvHcdwCwcBW1HfffUe37t1o1rQZEydOJDk52V+xxQc4jUZTUfDOcfey42Vj3IXQV19t5uWXXuaS315CkybnYttRTDPktmrHeVUFBY2HFjUaF52v0/wsvK0mqSRKlooT07LYtGkT9947lmnTpnHZZZcxLy+Pyy+/HHC3oxJXZ97nhmG4tuemCbjZn/r163N3/7t54YWVrFq1yt+q0mg0FRdvQePGDvwFymuvvcagQUMYOmw4U6dOx47aWFbYX/joc1/zU9GiRvOT8IKRu91kYJoWjnQzNlJKnnjyCbp06cJ//vMfJk2axIMPPsjJp5yCY9t+4PIClLfygtIanNLgZfi/p3379rRv/0emTp3GN99843rXBMSQRqM5/gguXoLfcxzHdws3TLcxYMeOHYwfP56+fftSu3YtZmVn8+677/LwsqWYpuHHneDjKAUq1vbtorM0mlL09pPmJxEMVF6mxTAMNm7cSHZ2Ni+//DKdOnUiIyODBg0aEIlEMA3D7VOQEsuyfpLXjBf8pHQIh5P46quv6NSpExdddBGTJk0iOTnZ97/R21AazfFHYibW+9yruUMpbNvmn++8w6RJk/j2228ZPHgIt99+O6mp1Zk8eQqPPfYYSxYXcEGrC2LbUFYZjxkUNRqNixY1mh/ETxfHCvcMw82sFBa6tTNz584lOTmZQYMGcd111yGEiPnOGID42VO3Eyd3m5bFypUrGThwIFOnTuWWW27Btu24tLROTWs0xw++eME9h41AI4Fpmny//Xvmz5vPsmXLuKhtW0YOH06z5s1RMe+8AwcK6dSpM3Xq1GHOnFmkpqYCHLJlrdGUhRY1mh/Etm1UrEDXiI0u2LRpE3PmzOHll1/m1ltvpWfPnjRs2DCutds0zfgtIqUQPyMQlYopd1U3duy9vPvuOhYuXMjZZ5/tf98rHNbCRqM5PvAWMlJK7Nj2szfy5J///CfTpk1j8+bN3HVXP7p160aNGjVLM8ESDFOwZs1bZGRkMGzYELp16wYopFSHbFvr816TiJa7mh/ECxqmaXKwqIi//vWv9OjRgw0bNjBz5kzGjh1Lw4YNsW27dLq2EHFpZxHrjPolv9dxbEKWxcCBgwiHw+Tl5VFcXOwHy2B9jkajOfYEOxxBYZoG+w8cIDMzkzvvvJOaNWuSn59Pnz59SE2tEVjAuIKmpCRK27aX0LVrV7Kzs9mwYQOGYUJs0ZRo9KnRBNGZGs0he+DB73udSZ999hmzZs1i1apV3HLLLfTr149TTz3V953xUstu6tnANH+dXvaeh+M4scF1Js8++ywjRoxgypQppaZ8gfv8XOGk0Wh+GYlu4sEat6BlQzQa5R//+AfTp09n8+bNDBw4kE6dOlGjRg3fysGyrLjH9QTOzh3b6XfXXViWxcMPP0xycjKObcfOc4Vp6ik/mkPRokZziH+Mh2EY7N27l5UrV5Kfn08oFGLw4MH88Y9/jNXOOHHZmMTszJF4Xl4ruGEYKCkZN24cb65Zw8MPP8xZZ53lZ2w89OpNoyk/gjEj8dz//vvvyc/PZ8mSJZx//vnce++9tGjRws+2HM53yj3vo4RCYd566y369u3L4MGD6ZOeDrG44y2gdLOAJhEtaqowwcBCrOsIITBNd47KV199RVZmJqtffZVrr72Wvn360LDhGf7edqKAKI+U8NatW+nUqRPNmzcnKyvLN/070oJKo9GUTbDeLZip8Yp3TdNk7dq1TJgwga+//pq+ffty++23U6dOHYBDxh4knq/eIFwAJSWzZs9m0aJFPPLII7Rs2dIVRVJi6Fo6TRloUVOFUUoRjUb97R0jFqAOFh/k1VdfY8qUKUgpGTt2LFdddRWhUMjPzpSXKVZZ4xFWrnyeIUOGMn78eG677TZdMKjRHAOCmVQAy7LYs2cPBQUFzJs3jwsuuIAxY8bQrFkzTNPEcRyUlJgxe4dDZzq5OI7jGdGAEBQVFdKlSxdq1KhJTk4OKSkphEMhMAzdzK05BF2EUIUR4BfbAigUX3zxBSNG3MPgwYNp27Yty5cv55prrsEw3G4Gr10zcavqSFJWStv7PsDVV7fnpptuIicnh02bNvnPB0pt2DUazdHBy8x420DhcBghBG+//TZdunRh0aICBg0aREHBIs4//3wAv/bOCoUO2bpOxDRNZKBbskaNmowZcy8ffPABjz/+uNtZpRQy9pgaTRCdqakE/NxtHz9tLBVSOhimwcGDxaxcuZJZs2YBcM899/DHP/6xzOI/b7uqvApzE4sSlVJ888039OzZk3POOYfs7GxCoZDuiNBoyhFv5tuOnTspKChg6dKltGrVisGDB9OqVSt/EeSJHy/Dm1h/l4i3MHEcGyHcQmIpJbNmzaKgoIBFixbRunXruO2vxEYHHQeqLlrUVBL+/e9/s337di6++GJSU6vjGuWVio6yioG9eUubN29m1qxZvPTSS1x99dVkZGRw5plnAvFGWkEn4WOB99w9h2KvGyo7O5trrrkG27Z/lnuxRqM5PIkxQymF7TiEYuNKhBC8++67TJ06lU8++YSMjAy6dOlCWlpamVncnyM0vGJicAfnohTbt2+nd+/eVK9enaVLl7oZHb8O0PzZRp+ayomO/JWEvLw8+vXrx5YtW1xPhzIIdh0opSgpKeGZZ56he/fuvPPOO8yYMYOHHnqIRo0a+bcJ+sAEt6rKm+BqzNuPv/baa+nYsSMTJkzgyy+/RAhBKJbe1mg0v5xDCu+VIlJS4l8wdu7cyezZs7njjjswTZPHH3+cfv36kZaW5t8n8d/PweuKMgwDoRR2NEq9evW4d8wYNnzwAUuWLInL6Hj38Z67puqiRU0FxzuBi4qK2L17N5FIBDh0VeQVBXttkFu2bOH+++9n1KhRtGvXjuXLl9O+fXssy8K2o3H3P1xBX3kTXDlGo1FM02Tw4EEIIZg+fTr79+/39+41Gs0vJzivycvSpKSkIKXk7bff4q67+jF//nyGDRtGXl4eTZs2BeLr4Y7Y8xACBNh2lLaXXELv9HRmzZrF+vXrsUIhLCuE49jalE8DaFFT4Tnc1lDiiW0YBuFwCNu2eeqpp+jTtw8bPvyQhx56iAkTJnDSSe4QSvdxjEO2qI716idYCCyl4xcbnnzyKfz5z3/mlVde4cUXX4wz8tJoNEcGwzTZvmMHmVlZ3NW/P0pBQUEB/fv3Jy0tLSYq5BEXFaVxR/jzK3v37k3Dhg3Jzs5m586dse0nfd5rXLSoqeAkOgD/0NfffvstDz74Fx588EEuuvAicnNyuPHGG2O3KRVErovwobU0x5KgWAtur0WjUa644gpuvPFGZs2axWeffVamO7JGU+nxjvdfcdwndhF6288bNmygb79+FBQUkN47nYULF9KqVSu3ziYajXlXGUc8oxtXCCwEdjRKzZo1GTp0KB9++CHPPfcchhC+t82xjlOaY4+WtxWcRMM5L6hEo1E/IB08eJBXXnmFadOmIaVk+vTpXHnllYTD4bjHCrpzWlYo7nGPB4JBy8seOY5DtWrVGDx4MO+99x4zZszwu6HsaBQzlrnRAU9TGUlcuEjHQSnldwz9WLdRooiR0sEwSmvndu3axaJFi8jPz6dJkyY8/vjjfpu295jhcNjdIjpKCCGwLMt9rrEYddll7ejevTszZ87k/PPP54ILLvDbxINmgMfDtrmmfNHveAUmGNASBzuasY6Bb7/9lvHjxzNy5EhatWpFQUEBV111lWuGZdvH6qkfETyh4m5DncywYcN46aWXWbFihW8oqAJdFBpNZUMp5dorxLaerVhnkidSfkzIewLAEwOWFfI/f/vtt0hPT2fp0qX06dOH+fPnc8EFF2Db0XifmXJcLJQuaizS09M5++yzmTJlCgcOHPD/Hr14qdpoUVOBCZ68XpAp7QhweOrpp+nWrRtr165l4sSJTJ48mbPPPrs0kFXwVYzXneXYNrZtc9Xvr6J7t27MmDGDTz/91B2fELitRlPZELExIUIIiouL+frrrzl48KB/XvxU3xY3syGQ0mH37l1kZmbSr99dmKZJfn4+gwYNom7durG6u2OTwQ1mpaPRKLVqpTF27Fg+/fRTlixe7LsLH01jUM3xT8W+qmniCnqllCQlJbFt2zbGjBnD6NGjOa/peeTn59OxY0eSk5P9VVbQf6aiElwplpSUYIUs7up/F0lJYXJycigsLIzNsdJbT5rKixcDXnvtNW6++Wbeeecdd8smFPpJ9xfC23Yy+M9//kN6eh/y8/Pp3bsX8+fNo02bNqWeMLGFhHu/8j2ngj5VpmlQUhKhdevW9OrVi7x581j3r3/5Jn/6nK+6aFFTQfGcOoO1NEopnn32WTp36cKaNWuYMWMGWZlZNGzYECkltm1jWSFCoZDvwFtZSE5OBqVo0KAB4+67n5dffplnn30WNztfef5OjSYRT2Ts2LGDdevWsXvXLsDN1gYXPVAaNxzH8ec2GYbJvn37yMnJpVOnzliWxfLlyxkyZCi169Tx44wwDMJJSVgx4VDeI0nis06uJ5WUkk6dOnHeeU2ZPn06u3btQsWcjPV5XzXRoqaC4QUqr0jWm39iGgZ79+5l3rx5nN+yJUuXLuVPf/pT6SA5peJGCVSWIjqvUNE0Tdd5FLj0kku4uWNHcnJy+PLLL+P22XWw01QmyspGSFU6YDLYCei7Ats2th0F3Nq79977F3ffPYC8vDz69OnDwoULadasmf94XgNBMDOaWMNXHiTOgfOmddetW5eMjAFs3Pgpjz/+GMSyNImCTlM1qPhXtSqEd3GORqNx/jGrV6/mn++8Q82aNRk3bhyTJk2i8dlnuysyGRM9iYGpEpOUnMxd/fuTnJzMzJkz4/5m7TqqqSrIQDeQ58LtChtJUlIyxcXFzJkzh9690wGYO3cuGQMG+K7AP8axEDXeP09UCcMgGonw29/+ljvv7EF29iw2bPiAUMiK267SVB20qKlABOtgTNNk27ZtPPiXvzB48GD27NlDnTp1uOjCC0lOTkbGfGYEws/qVBWklJx88skMHz6cl1et4sknnzjWT0mjKTfiZibF/wDLsgiHk1i/fj19+/YlOzub7t26k5eXS7t27SDWTXi8i/5gzYw366137940bdqUCRMmUlhY6N/WE3SaqoEWNcchiQEl6Lvg7WW/9NJL9OjRg9dff52ZM2Zw1VVXceDAAT+QeYGpMm01/VS81+iP7dvTuVMnZsyYyWeffQbgb9cd70Fbo/mlJE619zAti127dpGXl0vXrl0pKiri0UcfZcjQIdRKq+VvTVWUJgLPzkHhxrtatWrxwAMP8NFHHzF//gJMszQrm/haaCovVedKV0Hwa2UCM1eCnhPfffcdEydOZMSIEZx33nnkzcuj/R//6NfOeLc1TavKiZk4lEIYgrsH3E3NmjXJzs5m//79bpt3zNtDo6mMeBfvoEBRSvLuu2u5++67Wbgwnx49epCXm8uFF17o3ikmYpKSkirMqBHPlM8wDKyY71aLFi3o378/y5Yt4/33/+3G0EDhsBY2lZ8qesU7PgkOZAsWAhuxbMvf//53OnXqxEsvvcQDD9zP5MmTaXqeO0guaGvufUzcf64qKNdIA9t2aFC/AYMHD2b16tX8/e9/RxDz5DBNnZLWVHji3IQTjmdvunZhYSFz5+bQo0dP9u/fT1ZWFsOHD6fBSSdh2/ETritiK7RSCicmWrxuqDPPPJPp06dTWFjoxlPdEVVl0KLmOCBuXpOUCPCzLKZl8b///Y+RI0cydOhQmjY9j0cffYSOHW+OGzTpCSF90pau4AAcx+b3v/8/brnlFjIzM/nvpk1YlkU0Gq1wwVujSSR4oU4cmQLwwYYNpKf3Jjs7i169e7F06VIuvfS3KCX9cyBxxEpFwlu0ebFQOg7169dn6NChfPLJJyxbtszdkg+8JjprU7mpeEdxJcU/wWKD2xzbpqSkmBdeWEnXbt147bXXmDRpEpmZWZxxxhn+pGrNofiF0Urh2A7hUJiBAwdSo0YNJkyYQFFRUZk+PTrQaSoanj+V9zm4hbNFRUXk5ObSo2dPbNvh8cf/yvBhw6lduzZSKtwxSmaFzMwcFiFwYhmZtm3b0rt3b7KysnjnnXewLNM3DixL/GkqD1rUHGOC9TJSSn+radfu3fzlL+MZNWo0zZo1Y/HixXTs2DGWwTH9oBS8CFeqAPUr8OY+mZblr9Lq1avHiBEjeO+993j66acB97V3TQlLZ9no109TUUjsavRiwUcffUS/fv3IX7iQbl27kpOTQ+vWrQFwbNuvQ/FavSsLpmm5g3hjMfSOO7rQokULZs6cyb59+/0hnx56AVM5qTxHdAXFc/j0Mi+OlKxevZrOnTuzevVqxo0bx0MPPUTTpk1xHAfTMFBS+tsrwaCkMw0uwanERmw16jgOV111FR07diQzM5ONGzfGmZN5Rl5Sv36aCoIXN6KRSNz3c/PyOHjwINnZ2QwbNoy6deuWjhcIxI3KJuCFANM0MGJ/V+3adRgzZgwff/wxBQWLsGMdoa6wUTpeVlK0qDmGBIt7DcNk69atTJo0iawYM9UAACAASURBVGHDhnHOOeewfPlfue2220hJSfH3v6VS/iDKxKCkMw2l+CZ7fiu8gSEMMjIyqFu3LrNnz6aoqAgpHSD2ugnhB0SN5njGM9GzrBDhJNd35m9/Ww5A1zvuYNGiRVx++eVxpnuV0XiyLGHiCRcpJa1atWLAgAEsWLCQt99+2zchlY6uq6msaFFTTgRHGwTNrYSAkpISVq1aRXp6Oi+//DJjx44lMzOTM04/g0ikxC8aDm5VBe3PvY/aZCoebxsK3IF9jnSoe+KJjBgxgjfeeIMnnngitpXn1hjo7gjN8UDwYhuc2SRlvIFmKBRm9+7dLFq0iPT0dDZs+BCAdu3aUbNmTf/CHnTiDXZDVoatp2AsDH70Pndsm86dO9O0aVOys7PZs2dPXFOFXgRWPir+UX0ck7gSCJrhgZtN2Lbte6ZOncrIkSNp2LAhixYt4tZbb3Vbj5VCiPhWy8STOChuvAF1mkMxDINIpAQhBJf+9rfceOONzJ8/ny+++ALLsnAcW2e6NMcFied4WbPLhBBs2LCBIUOGkJWVxR133MGAAQMAd5EEpQudqnhce948JZEItWvXZsSIEXz++ec8/PDDbvwVaK+qSooWNUeJ4AC5UjOsqJsxiBWlvvrqq/To0YOXX36ZEcOHM336dBo3bowQglA47Gcagiusw9XQeLfRoubwJCclgxAkp6QwaNAgwuEw06ZNIxKJkJSUdKyfnkbj4xaw2362BdxrsGEYFBcfZOHChXTr1o1du3Yxe/Zshg8fzkknneTfFypn3czPQSkIh8MopWjTpg097ryTvLw81v3rX1hWCFs6KHS8rGxUDOvICkowxWkYBpYVwjAMvvnmG/IX5fPYo49x+eWXM2LECM4++2w/gJWVFi4rOAW/d/PNN9OiRQvq168fKzqu2gEtETfjVZrKr1evHvfddx/p6ek89dRTdO7cGSUPTftXhhS9puLhOeGqWOzwOiM//PBDZs6cydq1a+nVqxc9e/bkhBNOACAadSdvBx2BEz1sqgLe32yapluLCCgUPXv14q233+bBBx7gkUceoXr16m5IqDovTZVAi5qjiJc5cYWKoKSkhFdeeYW5c+eyd+9e7rvvPm6++WaSkpKIRqP+yioohoJfl3WB9U7gG264IbD/rrAsfabGUxrcvZVsu3bt6Ny5M7Nnz6Z58+Y0a9ZMz4nRHBeUFvVKhDDZt28fTz75JHPnzqXBSQ3Izc3lsssuQwhBJBIhHArFuQJ7H4Pb01VF2CT+nTL2t6elpXHvvffSu3dv8vPz6d+/P8nJycfoWWqOFnoZ+ispTQ3Hj7gPipJQKMSePXt56KGHGDZ8OKeddhq5ubl07twZ0zRwHBsztrUUdPeMa00+TMYgeAIfbpCdJv518vx9hBD06dOH1NRUsrKyOHjwoH7dNOVKWXV3wWyhZYX45JNPGDZsGDNnzuT2228nNyeXKy6/HHCzM6ZhHOKYm/g7qoqgCeJlvU3T8H15mjdvRp8+fSgoKODDDz+MWzQmlgtoKiZa1PwKElf1hmEgY91N3jRo27ZZvXo1t912Gy+++CIP3H8/WVlZtGzZ0p3rZJjuVtFhnC5/SjDybmOapl93UxWD2A+RGNi99+3UU09l1KhRvPnmmzz55JMYhkE0GvF9gxINzjSaI0nwmPQK/ZVyR6UUHzxIXl4eXbp04bvvvmPevHmMHDmSM844w/dcCYUsf/ukrHO+qgoaKC2UdmOs8EXibbfdxtlnn8306dPZv3+ff9vEhammYqJFzRHAM3eLRqOueZtSmJbFd999x/Tp0xk0aBCnnnoaBQUFdOnSBctyhymKmAA5EiIk2OVQVYPYD5H4mngBz7ZtrrjiCrp27cqUKVPYtGkTZkxoBvfmNZojjVc34zgOJSUl/rBVIQw++fRTBg8ZQmZmJrfccgvLli3zt5uklP4CBgSmebgqglJBUxWzD4eORFDYdpQTTjiBMWPGxGZDPRKL37a/gNHxs2KjRc2vwBMQnu+MabrFqLbj8MYbb9CjRw/+/ve/M2rUKGbPnkWTc84hGoloP5ljTHBLzxt+2bdvX8444wwmT57MgcJC/f5ojjpCCBT4XjKmZVFYWEh+fj69evVk+/bt5OXlcc+IEdSpc0KciV5Z07kPEd+qaooZj+ACz32NBEq5GbHWrVvTv39/srOz+cc//kEoFPbvU5Vfs8qAFjVHACM2usAwTPbvP8CUKVO46667OOWUU1iwYAHdu3UjFAphOw6mZeHYjh/INOWPb8zluO/DwYMHadCgAffccw///Oc/efrppwmFQnGrXB3oNEcDIQThcJhwOMxHH33EwIEDmTFjBu3btycvN5crr7wCw7Sw7WicEV/w4hs8nqFUyDiBdvCqHmu8jLi3xaSUomvXO2jevDmZmZns2LHDzdKgX6uKjhY1P4Efupx5q36pFG+99Rbd7+zOypUruf/++5kzZw7nNG6M7dgYhohlciAUDscM3w4dRqcpH7yZW17RsFKKSy+9lK5du5Kbm8u///3+ISZoOnuj+bUkCmQhBPv27WPx4sV07dqVHTt2kJuby5//PI4GJ51EJOJ6WxmBzGKiM7BHvXr1uOSSSzjxxBP9x9aWBC5+rZIQfu1SzZpuN9TXX3/NwoULXU+wQBY90d5BUzEQSr9jh+VwKyOIb5vctm0bS5YsYdmyZVx44YWMGjWKc845ByBujzbROC/4OJryJdg2Hxwx8d3WrfTt14/69euTkzMXwzABhSEMbMch5E3+pmoXYWp+HH/BE3ABVl7mJBYLPvnkE+bOncvrr7/O7bffzt13303dunX9zh3pOIgfmajtxZJIJML+/fupUaMGoUCLt4418SR2my3Mzydz5kwWLlzIpZdeWipmAKR0rWy0QKwwaFHzE/CESfBC6NrqG6xZs4apU6eyb98++vbtS8eOHalZs2bcfXQ30vFN4vysV155hQEDBjB27Fi6deuGlA4qVp/gOTxrNIcjKJY9UeNNgSd2cSwpKeGJJ54gMzOTk08+mcGDB/N///c71+k2GsVMmCAPZRtBBhdeuqD9l7Fjxw6GDBnC7t27+evjj5NSrZr/vhmGgeM4hEKhY/00NT8RLT1/hGC6OBhc9u7dx9SpU+nXrx8nn3wyeXl5dO7cmerVqrveEbGLX2JRn+b4xNtrt22bSy+9lC5dupCTk8Pnn3+OEEbcEFLv9hpNWQSzuI5j4zjuuAPDNAmFQnz55ZcMHTqUBx98kJtuuomcnByuuuoP2LaD49gg4gtWE8ejJP4ub5xKsF5E89NwbJsTTziBYUOHsnnzZhYvWYJpmnEZdsuy9GtagdCZmh9BKeX6yZgmSkmiUZt3332XiRMnsn37dgYPHsTtt93uHvjEioaVW2nvCRrdZn384q3GlFLYsZZ8yzTZu3cvXbt1o169emRnZVEzLS1uNay3njQ/RDBL41FYWMjf/vY35syZQ506dfjzn//MlVdeCbgmesHCdCuQqfmhYy04hVsfk7+MSCRCOBwmPz+fKVOmMH/+fK688kqk4yBjsTw4ekJzfKNFTRm46WLlF/Z6F7Pt27ezePFili1bygUXXMDQocNo0aIFtm0DnlOtRCkwTSPO60QHm+MTb3UbLBj2LhKvvfYad999N2PGjKFr164AcXUK+j3VJBIcaeI4jn+8fPzxR+Tk5PLGG29wyy230L9/fxo0aIBt23HHlIpldIC4RdEP/T5PPAnwnYX1sfnTcBwH27YJhSwikQg9evTEtqPk5c2jTu3aOL4rsd7aqyhUaVGTOFbACw5e6tFL+0opeeutt5g8eXIsOzOY6667jrS0tDIK+PSEtIpG4oXDuxgppRg/fjwvvPACixYt4rzzzist4Ix91BePqk1i+IxESmLHhNuqXVRUxF//+lfmzJnDSSedxLBhw7jssst0jcZxQnC7zjRN3nnnHQYMGECXzp0ZNHgQUiq3OSAwikIvaI5vqryoCZpZxYkawAqFOLB/P3nz5pGfn89FF17I8BEjaNKkib/PGnT41Ad65WPr1q307NmTBg3qk5ubR0pKyiGFxZqqSzAbI4BINIJluYLlyy+/ZNq0aaxZs4Zbb72VXr16ccopp/j31aL42OO9f55nlWWZzJkzh5zcPB5espiLLrrYL9wGnQGrCGhRE9hu8Pa/pbQRhsUbr7/O7Fmz+HLLFgYNHEjXrl0JhUJIqTCMQKsmYAZEjqZik9i98uabb9KrVy9GjRpNnz7pfs0U6CBX1fHDp1Ko2Nf79+9nxYoVZGZmUrt2bcaNG+fWaARau8ua86Ypf7zONIg5MitFUXExPXr0IFJSwrKlS6lWvXrcEFzN8Y35wAMPPHCsn8SxINhZAKVdBEIIduzYQc7cHGbNmsXJp5zMtKnTuPrqqzEMN60MqtTaPHCw6wO+8uBn8KTktNNO48CBAyxdupRLL72U+vXr420z6kBXtfHFSSzrsmnTJiZOnMgjjzzCtddey+TJk2nRogUlxcVxm9Ja1BwfBLuc3PlPkJyczFmNGrF48WIcx+GSSy7xb68Lso9/qlSmJjEzo5TCtm0sy/IL9tatW8eUKVPYsmULGRkZ3HTTTdSuXTvOZTLR1EoFhlNqKgfeqtp9vwX79x+gU6dO1Ktbj7k5c6lWrZpfV6Pf96pF0OJBKYVpGESiUZ577jmmTZtGnTp1GDZsGJdffjnJycmlsUNKN6PrGboZhq6+O8YEjVWD4yYsy2L+/PlkZWUxf/482rW7LOYAr3Bsh3BS0rF94prDUqlFTaKillIiHccv+EIpiA003LFjB/n5+SxevJi2bdsycuRIGjdu7BeFJla/a7Ve+fFEjbvXbvHqq68yYMAARo0aGeuSsBPs6nWReGUhsWtRud/0a+4cxyEcDmOaJp9++ikzZ87k9ddf59Zbb/Xnvv2Y6NUx5PjEG5+yf/9++vXrR3FxMXl5edQ98URsx8GORklKSopzFgeddTteqLSiJhgwEs3zlO89YFJcXMK6deuYOXMmmzdvZuDAgdzR9Q6Swkn+jBDdqVB1Kc3YuG3+mZmZPP3008yZM4c2bdoQjUaxLCt2O3eoqc7cVHw8MQulFvle/YXnWbJnz25WrHienJwcUlNTGTFiBO2vvhpi84V0Fq9iEo1GQSkM0+SDDz6gf//+3HrrrQwcOJBwOHxI6YLm+KLSihqIL/hUrs+9+zXuAbl9+3Yee+wxFixYQOvWrRkyZAjNmjWNJXBKzfN0l0LVIjhB3XGcuOzejh07GDBgAHXq1CE7O5tqMUt1IDZKQdvVVwaCpoxeDPE6ZQzDYOPGjeTm5rJq1So6duxInz59OPXUU+NahL0Mrz4eKg5KKRzbxo5l4mzbZvHixWRnZ7Nw4UIuueQSbNv2aym1sDn+qLSiJth26+FtEBiGwTvvvMOECRPYunWrr8TT0tJwbNu/DZSmIvXBW3UovZC5xYOeqAmHwwC8+cYb9Ozdm/vGjePOO+/0t6H0rK/KQTBD44kbj2g0wlNPPcXMmZmkpaUxfPhwfv/73xMKhWI1F6V4Rno/xURPc3wQNOMsKSkhKSnMnj17GThwILt37+axRx+levXq/pBR7z76nD9+qJSixgsgtm37KyfLsjBNk3379pGfn8+8efO46KKLGDJkMC1bnh8XdLwD1CsidmwbQ/vQVGm87I23Wp8yZQp/W76ch5cu5bzzzoubu+OJH03FpHQOWBTHcUhKSsY0TT777DNmzpzJ6tWr6dKlC3fddRcNGjSIiSCFEPH1d7rCqmKSeEkUQvDxxx/TqVMnunfvzpAhg93rgiPjFjJ64Xt8UGlFjcJdKXmdSaZp8uabb5KTk8Onn35K37596da1KzVq1CAa2/9WqnQKc5xXCZQWF2uqJN7x4A0nLCku4bbbbuOkk09m+vTppKam+mJYB7eKRVlZFNu2sW2bpKQkiouLeeaZZ8jLy0MIwb333svVV1/t3zeYzdFbEpWDYPGvt7hdsGABWVlZzJkzh9/97ndxnVM6G3f8UGnOvsQ2S4Fb32CFQhQWFjJ9+nQGDhyIMAwKCgro17cv1atXR8aETFnq3P+oD9QqT9w2pjCoXr06I0eN4r333uP5558nFLL8QtJKuE6otHiixJsB5GFZFsnJyWzZsoWRI0cyfsJ42l7SloeXLOHqq6/Gtm1/CKW3ENKCtnIRnNItpaRjx45ccMEFZGdnsXPHDkDFZWj92k3NMaXCZ2riLzZeUbCrQ5SSvPfeeh566CE2btzI8OHDufbaa6lXt66bMg4Y5nkXJCH0RFZN2TiOE7fnbts206dP57nnniM/P59mzZodUoMBunX3eCZYEOwhhCASifD8888zdepUwuEwY8eO5corryAcTopzBtZFwJUfz8/MjHVD9e3bl1tuuYWRI0f6x0LQxDX4UVP+VFhRE1TGblCSRKNRTNPCsiz27t3LokWLWLJkCU2bNmXYsGG0bt0awC/oCxZ3JRrzaTRBgsdaNBr12/y3b99Ot27dqFevLjk5uVSvXv0Q34qyfI40xx63o8lGiNLZTYZpsmXLFrKzs3nxxRfp0KEDQ4cO5Te/+Y1/H+/9LEvAaion3jxAhPC3oRYvXszFF1+MdBztWXMcUWFFTXA/U6FQUvndBu+++y5z5szhv//9L3feeSd33HEHtWrV8oORHkio+bkktukGJ7m/9dY/6NWrN8OGDaVPeh+8EypoC6CD3PFD0B3c954xTYoOHmT16tVMnz6dlJQUBg0aRIcOHQiFQv5KPRH9vlZ+vHPfO+eLi4vp1asX+/fvp6CggBPq1PFNXPW5fuypkKLGfcalwsQr8N2/fz+LFy+moKCARo0aMXr0aJo3b35Yzxl98Gl+Kl6wSiwO9OaAzZgxk4cffpjFixf7GcHEAlJ9vB0feLUzCjBjXSuff/45s2bNYtWqVdxwww3079+f0047Ld7jKnZb/V5WbhLfX+8SGYlEME0Ty7LYsGEDnTp3plvXrgwbNpRQyO141IvkY0+FEjXeCsu9kCh/5SSlZOPGjYwbN47//ve/DBgwgE6dbictrVZcIaB3QGo0v4REM0fPZRZg//799O7dG8uyyM3NpXbt2nGFg3pbs/woS3QE3wdvho9hGEQiUVatWsUDDzxAtWrVGDVqFH/4wx8Ih8NxY1VMbelQZfFa9h3HXaQ4jk04HKZgUQFTp00jJ2cuv/vd/x1Sl6U5NlQIWRkUJq4S9ubtwO7du5k9Zw5dunTBsiwKCgq46667qFkzzZ/RYsRaunVdg+bX4o3OgNLtS8Mw2Lt3L9FolKeeeopnnnmG2A28tKIOcuVI4niU4EcpZew9Efz3v5sYOXIkw++5hz/84Q889tijXHvttZimu/CRse1sr35GUzVxa68kZiwLYxgmUipuve02LrnkEqZOnca2bdvi7hOME5rypUJkaoKtst5WkmEYvP3222TOnMkXmzfT6fbbuatfP2rUrOl3qQghMIRA6JSg5gjgt25KiSMdLCvku1OPGzeO3bt387///Y/atWuzfPlymjdv7jtU65V++eNlyiKRiJ8pC4fDlERKeP7555mVNQsrZJGRkcGf/vSnOAdhb5sxcYKzpvJzuGLfRGFrGAYffvgh6enp3Hzzzdxzzz2xRbRJNBIhHA7pa88xoEK84u4Ky8E0DCzL4sCBA8ybN4+MjAwQgrmzZ5MxYAAp1arFHXhCeP9pNL+OOJdqpF9f8cYbb9C/f3/q1avH4sWLGTt2LFu2bGHGjBkUHjjgihkd2MqVxC0/bxEUDof53//+x5jRYxh771hat2nNggULuOGG6/37lTXqQguaqkVZW8WJx5S3NXnuuU3o27cPBQUFvPPOO7HyBoUwtL/ZsaJCZGq8FmwpJR988AEzZsxg/fvvkzFgAN27dyctLc0XM952k3QcrFAorrhTByfNr0Ep5U7wBcLhMGvXriUjI4M2bdowYcIETjjhBPbt28fIkSN55JFHyM7OokePnjiOg2VZ+vgrJ4IXIPfch6Kig6xatYpp06cjpWTM6NF+Z5M3BiVYK5VYKKrfu6rD4d5vry7TKzT3BHCkpISBgwaxY8cOFi5cyIknnOB2Ser6zWPCcbGETNz7DuKKFMGePXtYsGAB/fr1Q0rJ4kWLGDhwIKmpqUQiESB+unJQJWtBozkSeBc8y7LYsnkzo0ePpkmTJjz4wAPUqVOHSCRCzZo1adeuHQcOHCAzM4sPPviAUExcE9u6gkNT2ZpfTqKLc+Jw0W+++YZx48Zxzz33cPFFF/H4Y49xww03YJqm6wocyKSVtU2oY0fV4nDvt2GUOgwT2z0ASEpO5p577uGbb74hJycH23EQhtAO48eIY5qpCc5NcbuZ3L1sFXP7BbfDaf3698nMzGTDhg307t2bTp06Ua9evTgRU5bhmZ6cqjmSeCt5KSXDhw/n/fffZ8mSxTRseCaO41BYWMjSpUvJz8+nXr16rF27lg4dOpCbm0taWpo/zdvzutFi+9cT7IgEd4SFJ2YikQgvvLCSuXNzsG2bIUOG0KFDB7+zSSQsfDSan0rQ48hzoV+2bCmTJz/EzJkzad++vX9sSunEtkB1o0p5cEwzNSImXNyLhUM0GkU6DlJJTNPAtiULFyzkzu7dOXDgALm5ufTr1y8maBz/ohDcN/e+1oWZmqOBYRisXr2aZ599ljFjxtCw4Zmu6aMQPPLoo2RnZ9OlSxfy8/Pp3LkzzzzzDCtXrgQgGo3GZSX18fnrCL6W0aiN45R2SG7bto2RI0cycuQomjVrxvz587nhhusxjNJiYKW3pTW/EO8a4/1TSnHdddfTtm1bcnNz2blzZ6Amy+3Y1Rmb8uGY19QEV0zScRCxkQcfffQx4yeMZ9OmTaT3TqdHjx5Ur14dIK5NW6MpDzwDtl27d9O9e3caNWrEtGlTCYUswOCJJ55gzJgxjB49ml69egHw2Wef0eWOLuzcsZNnnnmGli1bxtmt6wGIvw5vzIFpWv7K+eDBg7z66qtMnz4dwzAYPXo0V111lV8L4cUM0zTxh8RpNL+A+KYU93xe+fzzdOveneHDhzN27FhsO4oQxiGzoTRHj+MiokopiUYjCMPwO5t69uiJQDB//ny3dqZ6dbeV1rExDKG9IzTlioo5yq5du9af9xQOJ2EYFh999CETJ06kV69e9OjRA6XctHSjRmcybOgwdu7cxaRJk9izZ0+pIy3affTX4l5IDD/z8sUXXzB+/HhGjRrF+eefz+LFi+nQoYMvZIyEAbZa0Gh+KXEZ19jHt99+m5zcXAoLC5k3bx6vvfZa7NgrtRXQHH3KNVPjiRAhhLsDHvvVXnB/7733mDp1Kp988gldu95Benof6tSpE2e+F3QEPtxFQaf2NUeDgwcPkpGRQVJSEpmZmYTDIQoLi8jIyPAHqNauVQsnttcOrgnX6NGjmTt3LjNmzCAjI8O9GIOfrQlmK/Vx++PENxa4F4xVq1Yzbdo0TNNkwIC7ue6660lOTvazusHOFa8TTccJzS8hznxTuK3by5cvZ9q0abRp04aTTjqJiRMn8oc//IGCggLq1q3rH39B2wDQ5/tRQZUDUkqllFKO46hoNKqKi4tVcXGxchxHKaVUUVGhWrx4sWrSpIm65ppr1FtvvaVKSkqUUkpFIhH//hpNeSKljDv23n//fdWmTRv19NNPKykdJaVUK1asUE2aNFGrV69WSilVUlKibNv2j22llNq4caM699xz1TnnnKPWr1+vlIo/rh3b9n+fpmyklCoajaqioiJVeOCAikQiSimltm79Vo0ZM0Y1atRIDR8+XH355Zdx99FojgRSSqWkVI7jnvfetUxJqZ5//nnVpEkTdd9996kdO3aovXv3qM6dOytAZWbOVJFIiX8sBq+F+vg8OpSLqFFKKdu2lVTum1lSXKwcx1bRaFS9v369uu2221Tjxo1VVlam2rdvn3IcRx08eFBFo1FVUlKiHMcur6ep0fh4wcsLQI8++qhq1aqV2rbtO6WUVHv37lVdu3ZVvXr1UsXFxSoajSrbtv1/waC1fPlylZqaqm688Ua1fft2pZTyb+P9Hs0PE41GVTQadWNISYl6/vnnVbt27VTbtm3Vc889p0pKivWFQnNU8OKAHVuARCIR5TiOevHFv6tmzZqp+++/X0WjUVdsS6k2btyoLrroQnXSSSepV155xT/Hg+e7PlaPDkd9U18FDK2UlJSUlGCFQhw4UEhBQQF9+/WjqKiI/Px8Bma4vjNSSt8LwBvnrtEcC1Rs61MIwVtvvUWLFi2oUaMmINi4cSMfffQRN954I0lJSYjAfYIpZoDrr7+e3r1789xzz7Fs2bK4x/Y+1/ww3kDarVu3cv/99zNy5EjatGnDkiVLuOaaaxDC8I06oTT2aDS/Fm90hlcTZxgGX321hfHjJ3DRRRcxePBgdysKRdS2ady4Md26dWfr1q1MmjSJnTt3xpVf6G2no8dRFzXBN9AwDFJSUvjPxx+TkZFBVlYWnTp1Yt68efz2t5dAbIKuwC3qk0rhSEf392uOOUVFRby7bh0XX3wxKSkpALz//vskJydz8cUXl84bI97AzbZtpJQkJyfTv39/WrVqxZQpU1i3bh2WZfk2BLqT78exbZvnnnuOTp068dprrzF+/HgmTZrE2Wed5d/GcWz/c33x0BwpVEzQeAgBeXl5ANx7773Url0bR0rA9axZs2YNK1asoFq1arz22mssXLjAX9hrji6HETUKRVkrHHcE+2HuEv+lUjiOg23bvulYYWEhjzzyCHf26MGuXbvIy8sjIyODBg0a+PcTQmCYBsQMjYyYmdYhvy7he96qV3dEaY4UQQ+k7du3Y0ej/OY3vwHc4+1f/1pHixYtSEur5VoMWKbfUeNlazzREo1GaXz22YwZM4aiokIefPBBdu7c4Y9eqOoZBS+rEnwdgp/v2LGDBx54gOHDh9OyZUsWL17MTTfdRHJyL4yGWwAAIABJREFUMopS35BwOIwXjHSmRnMkULHWfyEETuxa9u6763j66WcYOHAgjRo1IhKJYBgGoVCI9evXM2jwYOrWrUtmZib16tVj9uy5rFmzBiPmYh0pKTnWf1alxVJA6VrG7SZwlLvqVEJgChOhDISQKGWDMFAYSKUwMDAQgAPKOCSg27ZNKBQCFB988AEzZ85k3bp1pKen07t3b9LS0gJV4IbvBeJqLelfFKTjBDxs4kcqxKtn4dtSJ6b6yhpQFtwi8L4+3MrO+3ni5+VB6WukV53ljXd8ff/995imyYknngjAnj17WL/+fdLT00lOTgLcQ9ezUg92M3nHi1SKm266iTVr1pCdnU1mZiZjxtwb57lU1d7jYOeXY9ulFw/H7VIqKYmyevVqpk+fTjQaZcaMGXTo0AHLsnBs25/vVhZV7bXUHD28LjqEIBKJkJmZyYVt2vCnP/0JpVzne8Mw2LhxI0OHDqV1q1ZMmzaN2rVrE4lEGTgwgwkTJnDmmWdSv359rFDokG5ezZHBIC4n41cFJLj9KhzbRipXAklPECABWWaWRkpJOBTiYPFBlix5mH79+rFr1y5mz57NgLvvpmbNmpSUlOAO0i69ABimiRDEjTgwTDP2/VLnYM/JMShaEtP4QZESjUb9/fagoAmKH+9nZfFDlup6RVg5Cb6v27ZtwzRN6tWrB8D+/fspLi7m9NNPBzjEdj8Rr50TFEOGDKFly5bMy5vHmjffJCUlBek4IKqe66gnGiORiH+OK6UIh5P47rtt3HfffYwePZrmzZtTUFDA9ddfX+pRpUWLppzwamosy+Lf//4369evp0fPniQlJfmC58CBA8ycORPDMBg7diy1a9dCSofu3bvSuXNnXn/9dRYvWRJXp6c58liuIgm+uAYGJlI4mAhsxyZkhBGmhRIKR8Vsn5VyszRCgip7ANyHH33I5MmTefKJJ4lGo1xwwfnk5OSwYMECQqEQKSkpVK9endTUVJKSkuK+DofDJCcnEw6HCYdChMIhkpNTSElJ8QWNd5ukpCRCoZD/Pe/nQdyMUfzzO1K1DD9nom9ihkgf2BWDAwcOYFkWqampAOzcuRPLskhLSwPiMzKJeBlEx3GQUnDqqacyZswY+vbty8RJk2jeogWnnHKKL2yq0jHhCUevIcBxHCzTZNWqVUycOBHbthk3bhzXXXcdKSkpKKV8Z+Cq9Dppjj2u35HNypXPc/rpp9OqVSt/SK0yBP/4xz948803eeihh2jYsCHFxcUYhkHNmmnce++9fPzxR8ydM4fL2rXjyiuvJBqN6lq6o4ClYltOIALSRmBgAArLEDhOBMuKpdhxN4dcF0UHIQ7dwPKCeHJSMh1v6sjVf7gaKSUHDhzwV7hFRUUcPHiQffv28e2331JUVERJSTElJRH/ZyWxfUczlqmxLAszIVMTCoX8r709Ta9Lonr16iQnJ5Oamkq1atVISUkhJTmZUDhMjRo1qFatGknJyVSvVs3/uSekLMvCtCwE+AWdoVDI/b5pYJqlz8UIBNgfC7S/xGTth7bEfsp9EwXUz90++6Hbl/dW3LHCSxV7QWjHjh2kpKT4osbjcK+H49h+5jASidC+fXu6devG3LlzycrKYvLkyVimiUzI+lXm19Z7rbyVrhCCrVu3kpubyzPPPMPvfvc7hg8bxukNG8amIrvCMBQK6ZWuptzwM/5K8fX/tvLGG29y4403ukNqHQfDNNm/33XCv+KKK/j9739PJBIhKSnsZ2XOPfdc/vLgX+jVuzf3338/K1asoEaNGse0rKGyYrmbTKX/gNigNwlKIoWiJFLC199sRYSSqVv3REKGgWUIt35AKTCkW1PjPY5035zGjRvTuHHjQ35pWcWAUkps2477fiRSKnC8zwsLCykuLvb/FRYWUlJS4t/m/9s78zA7qnLd/9aq2mN3J52REBICMSFAIIQkYCAMgfOgFxEvKuIRjzIoetDnYYgHB0QQokD0AoI4XDUcvOLx3isejno8BALKEAgIwjnMKl41EpokZOhpT1W11v1j1apdu3rv7s5EOp16n6efvXvvXbVr17DqXd/3fu9XqVTo7e0lCAKq1So1r8aWLVvYsHEDtWqNWq0WvVetVvE8D9/3o+c2xOi6LoV8nmwuZ8p1BeTzBTKZDJlMhmw2SyaTIZfLRc8zmQzFYpFsNksulyOfz5PP5ykUCriuG0WVLHGyEao4YYqn15KPTiIFtyPEKB76jOuRkim0pFvzYASq2fEcSucw2PqSka/kcnviwpdS4nke1Uol2g57HOz26XDWRpNj47p17YcUgkKhwLJly3jqqaf41re+xfz58/nwuR+mVq0gHIkUclRHIyxBkdJEfWvVKmsee4yvf/3rlMtlrr32Ws4880xyuVxDJ2QnSlGpAedoihS7C1orhJCsW7eO7u5ujjvuuCgNKqXkiSee4JVXXuELX/gC7e3tpuoxUGHk1UzMzzzzTJYtW8ZXvvIVbr31Vq644gpyORMssFrQ7R3XUwyEa5QxVlcjQIEUEqEUGnAdh4fWruWf/ulKxk2cwlev/yrHHrMAq7chPNi2Xkojwh4rrb+0mT5FStkgmtJKkc/lBsyEtwe2Gsr3/agSKwgCgiCIyE38z/O8iOyUy2WqlSq1Wo2+/j7K5TKe51EulymXyxGpskRq27Zt1Gq1aLCOf5959PH9oKEizN4o7W+35CciRYU82YyJGsVJkuu6EYHK5/Pkws9nc7mIVNl1FQomZZfL5cjncuQLBbLZLFIKpHRiN4k6eRCAjqVBdoQ82Ys9Op4JMmLJVfwirou2FVI6prxfNPbrSV74SU1UJDoNS6wHIwatCFL8dStGtf4UNc8DTPSuVqtFRDz6LU3CycmUo3QctFLMmHEgy5Yt4+Mf/zgrVqzgiCOO4Ii5c6M2C2IHj8FIhSUxJoXkRedf18aNfPvb3+aee+7hlFNOiSpKrI4hntqrjxfNj+uuIL3pjDlFEqbTNvz+D79nypQpTJ8+HTBNmKWUrH7gAWbMmMG8efPCJXQYwTfLKaWQjsNFF13EM888w3e+8x1OOGEJp5xyqul7GDa9TM+9nYebrOqWaFCGnkgp8Goed999Ny+99Ao4f2L16gdYuPBotFA42KRVKNRFhOmnndsoW0IH9RsZNAp/kzP9uPA3PgjaVNSuRvLki5OYarUaERdLlnzfxwuJlB++ZsmVJUv9/f1RxKmvr49SqYTv+5TC6NS2bdsiMlUul0ONhoqapdl9ZYmSfd/zPdBEegRLkmx6zpKeQqFAe3s7+Xy+4b22tjaKxWJEpEzkSkQEy5Iw++i6Lh0dHYgwItGMWMSjHPFjGIdtBhdfJgn7u5PnRpIsNSNQzbRQrQaVtrY2fN+nr68PgGw2G6WS7HYMljZqIEoh6UVr3v/+9/P4449z2223ccstt3DLLbcwduzYht9k+8bszYgMOEPdjJQOruPw4IMPct1111KpVrn6S1/ijHefSVtbcYCJXhK7s+Kp2bHbVetOsfdCa80Lz7/AgQceyKRJE40WLJPhjTfeYM2jj3LhhRca0b8yE31LaKA+Tk2ePJlrr72Ws846i+uuW86cOYcyZcqUaAKenmM7DxckQmu0COughEk9CQRoxd/+uo5HHn6U8847jz+8+idWr76fj3/yY0yaMB6lFY60TbpaOthsN+yMrlm79uEOcPGKqOSyyRtQ/D1LBprNDu3A3Ow7bQrJ3twFIJ3GE7sRSYF2c8QjHjYqYbfREqlKpWK8D2omvWZTadH/tSq1qokq2Pf7+vqoVquhlslEpkqlEpVKhQ0bNlCtVqlUKhG58jyPUqkUiTpNdMlB67rTq1KKTFhia8OqtnmgJTvFtjaK+Tz5kCw1EKh8nkLRRJY6OjrI543GKZMxkSWbFrT72uqn7D7JZbPk8vnoe+PnQpIUJI9fs4iIEAI3FJjPnjULz/PYvHkzABMnTqRWq9Hd3d2wXDNSlCTi8XPMdV0uvfRS1q5dy1133cX8+fO55JJLcGL2BaNiBmevpfC6XrduHXfccQc/+tGPeMc73sHll1/O7NmzI+IdJ6HJqF/japuT053bVD3gPEix78KeD329vXR1dTF79myyWZsWhT//+c90d3czf/58oPn9xZ5DXq3GEUfMZfny5Vx22WXcfvvtXH311WSz2QET8hQ7BtcwEUFdMKwQEgiMPuCBBx5ky5Zt/MM//D0PP/IYX7/pJp5/4XlOPXkpXhCgHAFK4QhwpGRXmBQ3IzRxO/lmKYs4iRlsFme1I/av2QzYkXXPneR3DPaaXX98na2EYErphohWfD0m4qKikGRy/Tbkaau9isVi09+7o7D72j7aiI/VHlliVC6XKfX3UwqjRn19fZHA26brLGkyJKmM5/mUK0Ygvnnz5ijlZwmYTemUSqV6REMIspkMbiZjHl0H181EOiSraYoLx21lXLM/G3WyKT1LqnK5HLlsFidGnqJ1Og7VapWuri4AZs6cieu6rF+/fvCdac816udo/Bz2fZ+DDz6Yq666igsvvJDrr7+eRYsWsWTJ8cY6IRZl2luhtTa+VkKggoD77ruP2267jZ6eHpYvX87ZZ58dDeqBrWyKdTQe7LfHyY+9podKS7Wa3LRK9Q0WqUlvQPsGtFaUw0nefvvtBxiH62w2y3PPPcfkyZOZPm0aWhtX4ebr0AgpUYHirLPO4rnnnuOOO+7ghBNO4J3vfGekyZOpd81OoWHvGVpjPGkcZazhf/PQbzjowIM48sgjKVXKuFLwH7/6FSefvBQlHVABUms0AVoLktVQO4JWaYZm723vgNJq4BKNDGPAe3W9R3OTvmYDZqvvbrYd8cFRJshhKwGvXSaZfhnuTbDVLNcuayMEcWO4jo6OIdc7GGy6zPc8gjBdFqXJwlScDrclnrbr7eujUi5TCQmQjSzZiJQlUlbvZFN4W7duNesIReBxnVOtVoucPWvheqwWx4rBbbotk8mwbt06vvvd7/Liiy9SKBTo6enhkUceYfbs2RSLRdrb2+no6IiiUiZKZYTz2TByZfdjMiV6xhnv4qKLPs6NN67g+uuv584772Ty5MlUqxVcN7Ndx3UkwZ67juPQ1dXFypUrueeeezj5pJO4+FOfYvbs2dFnpZQQ7heBiIwMW5GV+Gu+55lqxSGiukAUJZOytVt5fN2txphm2xU/RmnaavRACEmtWsXzakyYMAGo24SsX7+ezs5O9psyZdAAvB2jldbk83k+9alP8fjjj7N8+XLmz5/P1KlTG4plUuwYIp8aUVfHIIUEqXn5pRd58smn+MCHzmX8uPEcOXcuhx9+GKtX3cell1zGjGkH4AdEPS1MdAFg1+f/hxoYWpGNncX2rndHPzfYcq1CknESNBTxaTXAthq8hxudSmKomauUMkrR7fANOqa5agZ7Y7GaJUtktNZRVMjekDzPi8iT/Vy8is5Gj7q7uznkkEP4y1/+wrPPPotSivb2dh544AEeffTRhv1vNUvjxo2js7OTjo4O2tvboxLwjo4OOjs7aW9vJ5PN0VY0rx9zzLG87W1vY9WqVXzj1lv53Oc+y5gxY/A9PxIabueu2E1olWhuTuRrNY+HHvoNN664kcfWrOHss8/m+CVLeO1vf+P1118nk3HJZLJhqtGQSUdKcvkcuVy9enCwyYRokhZudR46jmO2tNl1baNKMWJiJw3xyUNykhW/NnZFJUurCO9Qn93R74KUfA2FUrlMd3dP1PsNzFizbds2isUiUsqoAKRVVM/+KaWYPn06N918M+ec8wGuv+EGVqy4kULerFubBcKL296jhwoY2Oty3z6OLsJHYFohhJQGrXyEhDWPraG7p4elp/4dIJiy32ROOfkkbrr5Nn7326c5aNoBCBE6LQonHFz3zA7dXRfkSLnQh9qOwVJurd4fikht7zYM9pmk4BuIxKBxctNKLJdcNv6JeIQqfgNyHCciUPZ7tvt4tmANQRCwfv16urq6ItF2pVIhCAL6+/vo6ell8+bNbNiwga1bt7J+/Xr6+/vp6emJhORKabSQoBQ6CMhlM5RKJZCCO//XnSw8ZhHvPessU6kmZNgmZE+QmCSakZpG8mtutBIhYO3ataxcuZLubVuZN+9IXn7lJV66/iWkqFfe2Vmv1WxBXY8VTwMWCoWo6i+fzzN27NiIREZeVKHfVFT1F1oo2BRlXJNlyXXkTRV+j9GJOQzWTLcVgdrZMWOoa6DV9yQjtq0wmKC92bqS116SwO3u6OGuIl1DRftafV+dODe61gsIU+Vl2tragLpzeKvx0/7Zyr5FCxfyhSuv5ItXXcWCRQv56Ec/QlRZHH6H1iBF3U+uxa+L/clBPjf64aJthMZAAEhBz9YtrHrgAQ6dO5cjjjRlaq6bZ+nSpdz2ze/wy1/+ktNPfxe5fAalNUqbUnDQ+/L+TNECrWbZSS1EUuMUF0cnNRB2HfHl42kdG50ZLHJll7XrsoONfS8pWLU3Xa3NTOvAAw8c8rcrFYTbYkrEZTjwVSoVtmztZtOmDZT6+ujZ1k13Xy9B+L1T99+fSqlMJpMFCbKFLsRu41s34w6v84jcNE8Xm+0RLFq0iDtWrgSp0SqgWq1R7i/j+4re/r5I6G7Th77vR2lEK1ivVqsEQRCZdHqeSSm+3vU6lUoF3zPpxP7+/oZom7VZsETGkhghRJRWtOedJTXxz1ryZFORmUwmcjy3qclCaJOQzWYpFgoUQlsFuz77aF8DIluGepqyfsxapdiHmrg0IxfNSEezlHP8/1brara8Pf/iywxFmpKaph2dsDXb/uT6B/tcq3W3Ij6uY/R71hQ2UqGqgHxYoJCssmy27vjx1Fpz3kc+yjNP/47bvvENFi1YwLwj50UmnCL0ghv+Nb1vtVlpBhcERFqY8E/CH//0Kk8/9TT/7d3vpXtrL15vD67QjB87lqn7T+GJtU/w6p//H3MOOQRXmgoqcwDSLtkpBmKoqFCr94ejoWq1/FCDy2Drs4/1nk00PLcz+DhJav0bYjP+MGoEkM/n6ezsZObBM5oup1AIrQCJVhqtRZjitURO4Tj1G6LVirw15d/DG2SDAIrFYhRdUsqnvV3CBAFK7FBdga2QsvoD+9yS0KQnlSVGlXKZSqij6u/vj1KLpVKp4bmtHrT2Cdu2bYt0WZ7nUSmXqXm1yHfK8zw838cPlwGi6I/9cxzHkKNcFtdxI0JlI4mu45DJZkLilGXMmDGRRYL1nrJ2C7nQb6oYVhDmQoNQG9GKnwOO4wxqCTCcNHgrYtLsuotHeMyx8BGhkWR88iGEiNqCDHWs45OfZqRhqAiW/Yxtihy/vuNeWPGIr30/+Rsdx4lsHKzeUEoZER27zlaWFQP2l6/IuhkuveQSXnz+RVZcfyPf+/73aGtrN95mnod0JQh3mJec2OeTUBGpAQUiAIwC+99+/gs2b+vj/vtWs2btUzhehYz2CVyXrk2bKVVrPPbYYxx62Bx8PyDrhCxdgdi7LTVS7OXYHh1Us9D6YAO9HVybiUyHCv83+y6FRgqJDlSoZTNkpiE/HgQgjWdP/MYddzSF5t4/uxet9q+IVfcptE7uP4XAOpCLpmtpJWK367Dpo90NpVQkMvdC40V7U/M9D99qtULxO5jmudb5vLenh3LoK1Wr1egv9VPqL0V2CZZwbQ0/X61WI61XvOrQErkgCCJzxiAmgHcch3wuT76QJ5fL0tZmWsO0tbWRyWQaKv+KsbYwxWIxihblslmK4eeTrun2tWQqz5KleISnHu00KUhzTta9z+x5E9eItZocNHuejK7GyZL97mYibkto4svE0SrtZGFTm2+++Wb0vpSSYrHI62FVpB0XWonUk5CuRPmKQw87jK98ZTnnX3A+//O732XZss8QBPV9qJVGOIONZ/Fcy75KZwxi5nvhQRAOXV2vser++1m0aCGfueILjO0cj6hVyTgKLQQvv/pnrrzqKu6/fzVnve99TBjbER5IQO7bOzTFnsf2pF+G+9nhDLqDEYrBIjlaK6QjQ9NLTBk4ColAKx05dGvqM8dk9ZRd/55t9ljP+UtJTDRJ+LpGiJCcqcBoFGi8KSZvKMMhqMNJd8Q/Y4igcdRuJaS3+iyry1JKRdGQwbZjZ/e7jSgYf6la5ENVrVZCo866rULcp6q/vz/ymapUKvT39UVkqhpGprZs2RJFpUqlUvTc3pzNDgBC76k4gY9rQSyptOk5q2HKZDO0t7VTsO1higVyuXwUSbJkypIkm46z6T5r5mltGtxMhkwiTWfPe6UUUohI7B3f98Mh9vazzSJY8fRzfN1jxph+ga+//nrD+5MmTeLVV1+lUqmQz+eHPaGCUFcoNJ7nc/wJJ3D5smXcfPPNHLXgaE499VQq5QoO2owPQ/+qhv/21YiNSwCI8CALATj89qmnefmVP3LZ5Z/hnA+8v85TjHCGY3t6+bdf/Du/fWItf3zlFfZbshjteQjHNaqmFCn2UmxPuqrV8+GuVwiBjEcqbGQjVAcKEYt6KiNUrFQq/PWvf6FcrpDJZJg6dSrjxo0DzCArt2NA3VUwjW1N6TpCorQAAU7GhcAHZDjbNK+bz9Ggexxqvw+G4f7e5M0mOeOHRkF7XCMSfz/5elyfZcXvccFocpm4mWYz/YbjuhRcl8JO+k/FtysenbDRPq11g1lnsg1MPA1niVRS/1SreWEj4np7ma1bt9ZtFioVqiHRilcYWq2RDvezI02rGCEF2Uy2wUbCRoTi+qW4GNwSJUuybEou/l69GbET6Zninlb2uXQkWdd4YiWv+WKxjenTp9PV1dWQ0ps5cyb33nsvmzZtYvr06Q3tPZLnT7NjZM4bheMILjj/fF544QWWX7ecg2YcxIwZMxqOpfmn/lQIo7nRIha1Ct9TmOiv0jqsat436I2rQy6jlUJIjVcr8Yt//xVCSk477R0goFpTZCVmgJIuY8Z08J7/fga/Xn0vDz64miWL325OUKWNPidNP6VIMSwMmFtpjRQQoPGCABcBSiPcPI8+8ijf/8EPeOKJJ9myZTMdYzo4/PC5vOfMM/n7D36Qjo4xBEozSMHOLofWikAppAyJihA4cRdtJ6xqQuNrCKo+TigPkEIhd4P9QxJJMpM0tIxjKOfioTQn8ZuxfWyl7Wq2vqEiUs1IUKtti0daWq07l8vttPeUTZPZtGj8efx/m0qr1aqUy5XIbyopDLf6pkqlMkDjZKNLvb29vPnmm8YtvVajUq6TsLiRZ7VabSBG1jbARoNstMjql6zHVLxJsU07dXZ28txzz1Eql1izZg0TJ06kra2NsWPHsnnzZl577TWmT59OrVaLKi61bjRZTcJGnmwqNZPJcMVnr+ATn/wkt91+O9dc/SXGdnaaNLU2KTStApQOUMp6iJmqZT9QKBUgXQelAxzpEKi6ZmjnHeT2Dri2YMmEaxx8v8qsWYdw6aXLOHrBgjCvZ3L6KtBR1ObMd53Bixe/zH6TJuPXamQLOVQYKk+RIsX2QoEwKVxNGKURhtB45TL/fNcdXPfVFQAsXbqUCRMm4PkeL770IitWfJ1CsZ1zz/1QUy+bXYNmwWyNUgFaBSbfhPW2ehalNIGqIB3J1AOmctS8o5kwYbKJRGgH6Rihs9YBJpIzsseN4QhoW/2/o9G94W7DYOvZVfs1qWGJrzuurdndsNEwpRQqCFCh/kipsLow1DjZyBAQVcVZw077f29vb9QyxpKnUqlEf/g5a71Q8zz8kCyVyyW6ut7g/PPPj/aFUopNmzZxzTXXMHXqVLTWDZV11mcpaTEhhGBM59jQ580YdBaKBbRSHH7Y4fzwzjuZPWsWn7z4k0Z3F0ZlkICvcTNu5C6nQ7NKx5FU/RpCgB+EqWiEaWm0j0QbhDZqRQMJyjNMz0RofAQKocFxhanWllaFXe/EXa16YW8eaSI1qa4mRYrthAKtwkYlZmAWWuNoePyRRznnwx9lyrSDuenmmzlxyeLIbXfLtl4eeWQNE8aP55hjjkE6kHF2Rwoq7oFRf00p3wh/pSDQPjd89Qa+/OXrmTBpP3JFl2q5RKVaZe7ceVx66TLOevd7cFwJ0sMREokLvPUpsxQGQ6VGkkLc4aRUtvd7hrt89Kh1ZLYIjcQtStOEn9kVOicb9env78fzPLq6XqdSMdVOVtf0yiuv8Pvf/55qpYIftoyxdgJ2eaBBxGzTfzrQBCrA873ILNT3fbZu3cqihQu584c/ZPr06fhK4wgIfA+vWuHlF19i44YNKCHx/IBcociU/Q9g1pxZuBlJRjqosFpShNeY3AdiNa4ZqgxxwQchHfzAOHw5roMOFKYflIvWmJ0UEhrfN58zzQx9TLRnz/6gFCn2Suj6zcLMyhRKKzzf5wc/+D69vf38jyuu4OQTj6PmK6Q2/cPa29s58z2ng4YgUKZKwt0dFVD2wtYNj8bGwcwEdaDoL/UzbsIEblixgmMXL6Cvt4enf/c7br35Nj7/uc+z//4HsGTJYrRWYc4/tspRhMGqt0YShhPl2d402fZ+j8VgPkvJCidNY+VTsjouUAFCEYm9m4nJ7XLJlKNSKmrWbEXMrutGrsHTpk0bsH1Lly6N1m3ujUGD2Nr6U9m+fo7jGj+lcjUqfS+VSmzbti1MyQWUSv1ks1nGje1EWxma1riZLJveeIMvfvGLrHnsMcaNnwDSoVSu0DluAu84/TQ+/elPc8ghs5HCQVPfP7plveHogWuCLlZgpAFTlSCFKcskdDK1IeL4+SZCYSOJEypFihTbC4FGIoQt51a4TobX1nfx6NonmDf/KBYfdzwacB2JDjSmIEKgfCNElUIj3N15/YU3g9h/OtAmf++AkBopwcnnOPBtM5k3Zy41PN6+6FicwOGyyz/Dv/7sHo4/fjEIF019IqRjax0NI8jOkoB9EYPtowFapzANFRdkN+qmnAH3pGbRpjjhiWuQbKomLqq2FgpoHerIZFTCnTT4TLb1kDKMkcRUlKYCAAAJRElEQVSqFm06yopdxgPTZhwYVXbpMNoU+B6gcKREBWZbvWqFnm1bOWrekVxz7XUU29vZsHETd9/9U1Z+73v09PZw8823MHHcOLQy923R4Eauo+YLow0uhAdd1n9g/eAKTB+nRjJj4TitewqlSJFiOyAgLGFAhNFQkPzhj39k05Zujj9lDmPHjwsHIo0QodmlAKlltLx4y8IeAqMDUjg6HDvCKgsNlL0aFUAFPq7McNS8I2kvFln3l3XUqjXcfMb+krdwm1OMFkQRmxZan2R5d7NoUzMBdTMy2mwd0nEGRIcG86ka9DWRfF2G+rrAKGZkWMyjYwYsYZ/F8eMmcMJJJ4WVcoqTT1pCd28P9/3HKp674GOcctKJpvopEISaYrP8KCY1Eb20ByMZckxGZ5IYSqiWIkWK4cHmvq1uHxTbtm1F49PW1ma0KPZzMiQVmAFPhI+DXqy7ajupj8NSChPJ1SCQpuIiULgy7LYtJUGgKJXKaC0YP67TVKMQttDVKly23lQ3RYrhoNU9a3d9T7PX449xP5+d2Ra7mAwNN026TRuzfmHytY6UhlihCLwagV/Dq9Yo5PMceuhh9FfKvLFxQ7R90km2LzITitGIt9J+NEWKFENCh15PDhCajWlB4NewIWOtVRRL1gRGWIzCyox3H1Tjn9YYn6uwiEBLAqVwcGjLFxBAQeSolCvcc8/PqdVqLF68GMd1UVqZwSeWCkiRYiRgexyBdy8avWnC+hwIzQGVVihfmcoqN4ObcfF8jz+8+ifGdk7g4INmhtojjR94ZswI16lHsfOwO/RHUqRI8VZAaw3C2KLbRPv48RMQQvLm5i2Uy2WKuSzGkTes7ggHJoWZe+1eGWAyTh4+KluRYshOb28vv/zVvWzcuIE3u17n/lX38uvVv+Fdp5/OGe863WynDoPf2iwfWcDvK2YaKUYsRk7moS7OF7YIx6bY7PxFCjZ2bSBfLFCpVfnnO1by8K8f4oMfOY85cw412h8CpAzCtTijNkJjsUtIzUhV9qdIsdchvKmrQIMuM3vWLCZPmsx/Pvuf/PWv69iv80hU2NhS+T7SyRgpDmHFB+CI3XU9Jtdp+sQJNDgKpEIIhedVWPmD73PXSoEOfOYcMpsrr7ySC867gEn7TcRHGSGnnQ2nY0eKFANQL6lXoOPF2KbFRyGX4+GHHmbJ8cdT9jwq1QpthTyf/dzn+cdPf5oxHUVUEIRTHYgqFmOvjEbsElKTEpoUKXYeIowva216EyklGTduAme//2xu+NrX+MmPf8Kct81kTFubqdDADFMbN2+lWq0yaeJ4XEe8tUllgdHFoNDKRymPceM6+eI1X+a4RQuQwJRJE5k27QBE2D7BFdYMTA7kM+lQkiIFENfsyHr3oXDSIwRUa1VmzjyYiz7xCSq1Kg+veYSnnvwthVyOtrY2lAZHSHy/RtYNo6JitMqD60jTTylS7FEokizE9ElSIASZTJbzzj+fXz+8hm/echNbNr7Bhz70QcaNHUO15vNfzz3Pv/7855zzgXP42AXno4OhuvnuSpgydKRGaBVVTAqhmHv4YSxeOB8wnh2EpmlKKYTjmPLUkNikSJFiCNQzUSBl1EZl2vTpfOLii8nmsnzkox/hHy++mBVfW8GRRy/klFNPNJ440kXoeol4g45tFAYkUlKTIsUIgw5LQ7VS1Goes2bN5pu3f4urr/kyP7v7Z9z90/9DLpclUAHSyXDU0Qs4euHRxrQP/y1MB9sOxhg/KyRaC0QYgSn5Cqk0GSf08hACKe3vc9KWKilSDBNmPKhzEKU02axp/FmrVsnmMkzZfyqfuOgiHlmzln+564cct3gRjuOSy5i+jFIkJ0974Ie8BUhJTYoUexwD1bHG80IiZQbPC1hw1Hx++n9/wrPP/I41ax6iu7ubzs5xLDnxJI5asIBCrgAoCHbnYDWw/5N0Mgjth67CDkpJfN9Ho8m6EuUr45OhFNox5agCYRxSR+uomiLFLoa2Q4SyXjzgeR5SmH5PQkg8r8axbz+WJccfx/2rVvH8fz3Pcccda1wTFMR7x4qoSnL0XYMpqUmRYo+jXmppIMJuvMYHJpN1CZSira3AiSeewIknntCwtLJWWrZH224ZqBrLQQWEKSXQSCNIFA7FYgdt7UV04EVLSiFwsi5o30RyEs0Pk8Wzo2+YTZFi5xBNAMLGsWiN47im6lG6KAWOm6FzbCfve+9ZrH7gQe5btYq3v/1YdBBKaSxCbc1ovc7ShHaKFHsUkUcokZmedBDCRToOTkaA8HGc1uI+icDBWLsLsbvmKSLc1lgVhhDGG0c64GRAZDn33PP4l7t+zLy5cwh8D8cFLRUaRdRyJcG7ROIvRYoU9etNa4nSEGjr56SRmQzVmk+p7KPIIIRDEICbyXDSiScy55BD+Mn//jGbNm7EccEXPkoYsxtlwzZqdN7+TZfuFClS7EGEN300Akk9Tqxj7znheyMLvu9HfXGEECgdoKVGme63BEFALpML3ZIhpS4pUmw/AnM54QqF0AGlvj6efPIZHDfHMccvJuO6qMAj42hqVZ8nnvwtb27ZzGmnnUaukAMhcBwHV8SipKNUKJySmhQp9jgModGoBKkBY9kLZtY28gageJdkMGFyHx8/8JFhCXfGzSCFbYIw8ohZihQjHeEcASk1QvvoQCGcLEqDH4CZECmkUKhAk8nm0Giju3HtNSdwZX1sMQaeI29M2VmkI0yKFCMEomkUIx61GXmwZCZq+ofAkRJXOriuSzaTNb4aI5CQpUixt0DrcOKjTA8o4Th4tRpKaVzH9JkyLVU0wpEopVBhF3OhBSgG2CeMRkIDaaQmRYoRgKRQODnXME0QRmKkxiLeodj0ogpbOQhhojRaQOpJkyLFDqF+l9YIq/rVxoVPBRrpWO8ZHxvVNb5Rra+50doJICU1KVKMCMQbUe59pCaOuj7Ibu/es+0pUox8xElNs/f27WstLelOkWJEwHi4jIYBaaAgeO//TSlSjByIhoem7+3DSOPBKVKMKDQblPbGgSot0k6RYndAMzBh/VZgb0lVpaQmRYoRj72NHIzMSq0UKUYL9ID/dIv/hruO0YOU1KRIMWKQEoEUKVK0gm7yLEUSqaYmRYoRgZTQpEiRYnhIR4vWSElNihQpUqRIMeLRypN7sP+GWtvow/8HJljL/J2RagkAAAAASUVORK5CYII=)
Maths-General
Maths-
Solve: 8x . 4y = 128 , 92 x - y = 1
Solve: 8x . 4y = 128 , 92 x - y = 1
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,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)
BC ≅
△ ABC ≅△ GHI
![](data:image/png;base64,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)
BC ≅
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAACxCAYAAABqQkmUAAAgAElEQVR4nO2deWAUVbb/P7equtOBhIQ1GBKWsAyLgCyy6PBQdJQ3igtP8eeob1QExRUMouAIOq7jABIIi+OouADihog46MjgOPLGDRkXBEFBIJAQUZaQravq3t8f3dWphC2QpbtjfWYikFSnb1fd7z33nHvuuUIppfDw8DguWrQb4OERL3hi8fCoJp5YPDyqiScWD49q4onFw6OaeGLx8Kgmnlg8PKqJJxYPj2riicXDo5oY0W5A/CPDf2pIQBEagQQAtus6EfluxZ+1iwp/VX23ip9KjozAGzePjyeWGqFA2SglUEIghQh1VqUQKAQShAIEqKpiEQhRu6Jxy0FEvkJtAYVSRxeLEJ5YjocnlhpTucMLFeqgGgqEEf65TeUEPHXE19Z+qyqEEkILC1QQEo+7LR7HwxNLLSIUoCRC2Shstv6wk7KyIJ27dMEwdNwdsy5kUtl2heyMUgqlbDTNQAgdANu20TQtYtmObnE83Agv67iGKBulQAk91DFtE02z+WlPAdeOHsf32/J4YdGLnN7vNGTEq1EINEQt+wkVNiRkUaRtIaWFJsCWUFj4Mzt35rH3p70EEhJISzuF9PRTSE1NDYvZ41h4lqXGCJeZUAgBmq7z4Zp/kJ9fgND8vPbaMvr06QWagLBgNGStiyXUGhWxKtK2AElpaTnv/f093lixivz8AkpKStA0jaZNmzJwwABuvOlGmjVrWuttaWh4YqkhyvU3IUJfZkkJby5/k98O/y2Nm7bilVdf4aZbbqRtm3QsQh1a1cFELPR7Vfi3K3RdoGx47ZWXefSxGfzX2edy96S7ad06jfJgkG+++YavN3xNUVGRJ5bqoDxqgFS2DCpb2kpaUkmrXClVpNZ99i/1q05d1Ptr/qm+WPeZ6tShg1q8ZKkylVLFtq1Mu1zZsrwOWiOVpaQylaWUKlVKFqvN36xT3bt1UzfdPF5Zln3E15XZR/6+R2U8y1IDFKCEQkgQSoCmUNJk2YrlnJLVldP69CElyeC07l14e+VKRlz2P2iaFg4tU/teftjMKSFQKmTl1n3yGbt/PMjVo8eg6xrFZilF+4sQto0mdIyEBPxJSfg1hajD6FxDwBNLjdEABcIGAYX5P/HuO2sY+OvzkNLi5wNBhp59Fk/k/pWNm76n56ldUFKjlpdYABBKhhdEBQIDkOzYmY/hT6R169YAlBYd5PmFT3Ow8GdsE3zJqVx30410aNOy9hvUwPBWomqEABUOCQsThM6HH37Ed5u3cejQQZ5euJDnn32KvLw8Duz7mTeXvYGQKrwKUxdqCQkGBEpogIbh8yMti5LiMgB0TaNpSgrNm7Vg57bt/GX+M/y45+fab0sDxBNLDVEyNOVRwsQyS1n19t/p3r0Xp/U6NdR5hUZWx04MHng6761aRX7hPoSoI7EACoUtFHZ44bFr147osoxP/r0WWyqaprZgzNhbmDD5Hq783dWkpDbFm4xXD+821RJCSDZv+JpPPvqM2ydNYfT1V1X6eWZGW674/Vj+/X//x+UjLwRVN+OUrYlwxE2iK5PBg/ryX2ecxlPz55Ce3po+PX9Fgl9D2bBz93ZKzOK6akqDwxNLDYjkXwkB6Gzdvp3efftx9llDMQFpm2i2hU8XDBg8mIsvHkH+7p1A3SSZKBFajhRhV11KSdNWrbj/gfuZfO8fmfaHafTr34vmqYmo8jK+/GojGe3b0KhRoA5a0/DwVvBripNfJRSHDh0CpZGUnBRa7VCgOYmUCEpLSyktL6NpSmhNo/adfBUWYWgKJqWNhkBoOj/uKeC9t9/hH2vWsLNgN4HGjRl05pn81znD6NHjVJr4/V4s7Dh4YmnAhB5tSDjHynAOSoVP8wLHx8ObrdYySinc44+UktLS0mi2KPRfZWNa5Vi2iZKhBEspFdJWCNsGb8w8Lp5YahnLspAylMV76NAhVq9ezbvvvks0DbgI77MRuoZUCluFNqU5W758ul7re2saIp5YahG3IAoKCli8eDG33347K1eujEpnFKJig5kZNDm4/wBCCKRUkZ+jibpwnhoknlhqESEElmXx1VdfMWPGDNauXUuvXr0wjOgHHX/au5clLy6i6MABfIYv9E3hRNA8qoMnlhpi23Zk2rVv3z7efvttHn/8cQKBADk5OQwbNgzTNKPcSrCl4i9P/ZXnnnsu0h7btpG2jfQ2f1WL6A95cY5jTfLy8nj55ZdZt24do0aN4vLLLwcgGAxi2/Zxfkvdo2kauuFj0aIldO3aneHDh0emjZ6/Uj08sdSQ0tJSPv30UxYtWoSu6/zxj3+kW7dumKaJz+eLdvMilJaW0q5dOwYMGMCzzz5LRkYGPXv2xLIsLxJWTTyxVAMnHCzCqe+aFpq9FhQUsHz5ct5//32GDBnC9ddfTyAQwLbtyGjt/CmljLwuGliWhWmaXHnllei6zhNPPMEjjzxC69atQ4LxOC6ez1INpJSRLyEEwWCQ9evXM2vWLN5//31uuukmbr75ZgKBUNqIrusRp97v90deG22EEGiaxi233IJt2zz11FMUFxdHBgGPY+OJpZpomoau6+zbt48VK1Ywffp0AoEAubm5DB06FNM0j+ibOKKJhc7o8/kQQtC4cWOmTZvGZ599xvLlywHPb6kOcTgNq1pzS0X+HkpMr53qiu7Ores6Ukq2bt3K4sWLWb9+PVdffTWXXnopEIoq6fqRq6OEVspl1DujY92cz5WVlcWtt95KTk4OnTp1YsCAAZ7DfxziTyzKJCht8g5JVNAiQZpYQkdP0GmZpBHQEmu8XVcphWVZKKUwDIPi4mI+/fRTlixZgmEYPPzww3Tt2jVSf8tdg+tIvysWME0T0zQjorYsi9/85jds2rSJOXPm8NBDD5GRkYGUEl3Xo+pfxSrxJxY0DhSVsGDZp+w3FSl+Dcu26JzelCvP7k0gUDv1rxwB7N69m5UrV/Luu+9y9tlnc91119G4cePIWoXjBxwNv9+PUgrbtqO+OKnrekQsoZV8yZgxY9i2bRtz585l8uTJNGnSJGYEHmvEn1iEzqFSwbdbdnLGfw2ka5smWLZNi6QEEnR/jX61E/ESQmCaJt9++y3PPfcce/fuJTs7mzPOOAOgUrTreAQCAaSUWJZFQkJCjdpXU/x+f0SwmqZhmiaBQIBJkyZx++23s3TpUkaPHo1hGJF74VFB/IkFganpNEpMoG+nVpyekYJu6CQYOn7LDOVvnMRDdub0hmHw888/s3r1apYtW0bnzp25++67SUtLqxRCdqzJ8TpURYnU6I7WVSNyzhTTtm1at27NnXfeycMPP0xWVha/+c1vItcez3L+kohDsSh0TaGMBN759Fu+2WyQoBv07dqeXunJBFwO/4kghMC2bbZt28Yrr7zCunXruPLKKxk5cmQlYZzsaBvtUdo0TSzLqrT+427ToEGDGDVqFAsWLCAzM5OuXbtimqYnFhfxdxeURYvGilHnnkaP1skElODTb3bw51c+4POfTeRJHp1QUlLCRx99xOOPP86uXbt4+OGHueyyy2q8RuJE0mJlneVoES8pJVdddRXdunVj9uzZFBYWRkLNHiHiTiwKRXJAMPL0Tlx3dm9uvGAgN181nO0F+/jo+13HzKB1OooTznX+nZ+fz6JFi5g7dy79+/dn5syZkWhXTawJVHbwo4lSCr/fH2mPe1ro3A9N07jrrrsoKyvj2Wefpays7Kgh8V8icTcNk0rHsnQEJWi6n3Kho8kgzfVymmrHLjDkdBKnowSDQTZu3MjixYvJy8vjtttuY8iQIZHra6OjOA51tEdoZ3A4kviFEOh66BSA1NRUJk2axF133UVWVhYjR46MehQvVoi7u6CExra9h9iR/xOJySmUS8FH//mWjJYp9O7Y5rjeitNZ9u3bxz/+8Q+WLVtGVlYWs2bNIi0tDdM0I6v1DQnLsqqVA6aUolu3bowbN44FCxbQtm1bBg0aVA8tjH3iTiwIwYESk0++/o6DQYUSBqlJiYy+/Dd0bJmEBNzd3G1JnLUFtxN/zTXXcPHFFwMVyY61aQWcETsWomEQChkfLywspeSCCy5gy5YtzJ8/n8zMTNq0aVNfTY1Z4k4smrIZ0KkVvTr8loPlJkJAs8QABjbIYtAa4bhibl9B13WKi4v5+OOPWbJkCY0aNeKRRx6hS5cukWvrIvKTkJCAlDLqPguEcsOONqVyi8fxYW688UYmTpxIbm4ukydPJjk5uVLW9S+NuPvUQoCtwKdrtGwUoHliAFCYSmKLyouSzoMVQpCfn8+LL77IvHnz6NOnD9OnT6dLly6VCkzUhV/hRKCibVmUUvh8vmpNL50weiAQ4K677mLL5s0sfemlmNjxGU3izrIoBEIpUCah04IFaDqE6wcrVbEmqWkaZWVlbNiwgZdeeom8vLzISrw7wbEuV6tjRSy2bRMMBkNTTSflpdIVzhFIhIsDati2on379txx55088vDDdOrchbPPPitSVxB+WbUu4k4sGoSekIJKR9QpgRIgbYnQQkJxVuKXL19Oly5dyM3NpXnz5qHLw1anrjtxbftAJ4ttWZHETykVaO5D+hRC2FgYSBQ6NromQYGlNH595pmMvOxy5j/5F9IzMujYuVPYGqtQGaXofax6Je7EAhoI7YiL9AIQmsCyTLZv387SpUv5+uuvGTVqFCNHjqz8W6qZrlJT/H4/tm1H32cRAsMwQgGH0PGsFT9SCpRCEzYg0YWFoByEQlMapgxw7e+vZsumjeQ8MZMHHnyAZs2aY1t2uJRS3M3mT4oG8Snd1qGkpJgPPviA6dOnU1hYyKOPPsrIkSMrLULWJz6fLyamYVIqNMMfGhykhVA2WvikGCUUCIkuTXzSRkgDJZNQMhkhG6FJhSEUd028g5LiAyx6YSFWeTE6Ffc02p+vPoh7sbjTSBwnfsGCBfTt25c///nPdOjQIfqjOtHrTM77lgeDru/ZCKWQaEihY2FgCV+oboUMIoXE1DVMHZQhEbqGaStatkone+IkVq9+n3f/vhqh6wihRSxnLKT01CVxOA2rjKZplJeX880337B48WIKCwuZMGECZ555ZuSaaC4wRtNfcWdJB4PBiFOuaTpBU7KvpIiicpNSqUhp0pjWiT58WPxcZpJ3sAQwSZAmjTU/LVo0x7Ihs2NXLrj0cnKffJb0dp3p16vHYZkRDZW4F4s7nb5r165MnDiRtLQ0gsFgpc1O0SKa6yzuzisEGD5n45dGSbCctZ/+hx/2/ExhKTRp2ozfndOXzKZJfLpxK298sJFWzVNICBbRtqWfCy8cxu7dBXyzcQude/dDf28tj0yfw+w/PUB661aVMpobKnEhlqrmXdNCpn/Hjh0sWbKEdevWce211zJixAiAyK7EWHh4Pp8vNrKOhYbhDx9apCR+DXp0bEe/Pr3Yfcjm0affoku71mQM6MzP+38iNUXn/13cD78KEhAGhiZYt/4rElNS6NuvJxdcdhnPzJ/PX556irsn3kliYmKDtyxx4bO498RrmsahQ4f45z//yUMPPURBQQGPPvooI0aMiDjxzh7yWBCLQ7QKgzuYpo2mhSyLrRQJiT4y26XTKJBAUoJOy5RUEhonYmORIPwkykTMQ+WUWZJAgg9DKZomB1BCkn+gCCPgY8Kdt/DlV//htddeiwm/sK6JC8viZMVqmsbu3btZsWIF7733HsOGDePaa68lMTER27YjQolFoj3qBsuK0e3QOTFK0ylB4/Mf9vDZ5jy27txP8+QmdMxoicIiNa0Zh74/wPL3v+aAbZLRrBGXDO1Nvz6nse4/X/DN+i9pn9aCM/r2opVfkDPzCTIzMznrrLOi+hnrmpgVi7tzOU78hg0bWLx4Mbt27SI7OzuSDesIJdasCcRO3TCpFISr5+tS0lhIujQNkNwljU5NW7Hy39/x78+3knVWGwZ1b07vTun4rCCb8ov448KVZKQ355K+nRg2qC8HD5WQktoMoWzOO+dcvt+8hblz59K+fXvat29fKWmzIRGTn8ZJgHRu+s8//8zy5cuZPn06qamp5ObmMmjQoEgExkmpj8WHEzsOvp/EpObhf5iY5ftp5DtE93ZJDOmXRlKLJNZ/m4ep/JQcKgPbxG8oWiQlkpKcBAokiqQEg/QWLQgYGn4EKMWYMWPo2LEjc+bM4aeffoo8v2gPELVNTFoWJ/tXSsmWLVtYunQpX375JVdffXWldHrn2lizJm6clJpodJzKZVlNDC20n0Vpiewo3MeH63/An9qM/WWK0v0FDDm9O0g///x8E3uDJikJPjbtOETWKan075SOZgdBKCQSgYYmFKZpYfh8jB8/njvuuIMXX3yRcePGRbYmxPKzOVGqJ5YjFYEEEKETeQUick4u4uQO8qy6N7ykpIRPPvmEJUuWoOs6jz/+OB06dIiEKOPlIcTK6FpWWgJ2KGtYKZuWzZuR3rqEb3f+hOb3c83w0+jRMZPGUtIlsw37Nm2h8Kef6NKhPWf27EibZB3NDCINAxk6AxmhBFIpTNOMVIh58MEH6dKlC+eff/4x9/zHI9UTS/hYNVsLfWA9nIgHIpR1GkotCh2Ko2m4U+uqe4+cDGCnsN2bb77JmjVrGDZsGNddd10kx8q95yRWOuKxcNoajdCx+/7YtkTXQz6LUJKmST6GD+rE8EGdItdIQvPy3lmt6J3VquL3AEpKhM+HQkdznq8Q+H0+CIti4MCBXHPNNSxYsCBypIUz/YxFf/JEqfY0TBGas2oKykvLOFhchGmHw7lCIzk5mUCjRqHrBAh1YgWJ3E78okWLKCgoYPz48QwePDhyTdVIVzzc/MTERIQQlJeX1/t7u++PEAK/39nvo3Mkd1UD0A//fihBVYMKmVT8pMozGDVqFFu2bCE3N5c//vGPtGzZMrLOFKuRyupSfZ9FgBAKXWhs/PZbnnxyAcrvJ8HnA6lo26ED/33hBWR1yjqphvz000+sXr2aN998ky5dunDvvffSvHnzSH3eWHTej4c7lB31RUnqvniGs8516623MmHCBJ588kkmTpxIIBCIi1nA8aheDxQQsi0hk/rD99+x6MXF+BICdOvRg6ZNU3jyyb/w8MOPcuhgcaSmfdWjPd1RLufm2bbN1q1bmTdvHq+88gqjRo1i2rRpNG/ePLL/Ih4syNGIVrZzVYKuRMq6wplGp6amMmXKFNavX8/y5ctj4vPXBicwDXP20Ul0XdCiWUuuuuoa+vftCUCgcRNmzZnPjp276dWjM7ayw9agoqO7DwQyDIOioiI+++wzFi9eTCAQiOyJd45wiHez7XZwo2FZ3O8frJR1XDdRKnfgpXPnztx4443MmTOHDh06NIgKMdUSiwofAR3edBraLAQcLDpEMGhSWnKIkpISOnToGKrCHnoVSkmEa2OQe1qya9culi1bxj//+U/OO+88rrrqKho1akQwGIzLKdfR0HUdn89XLyP7sRBC1Hth8vPPP58tW7aQk5NDeno6bdu2rdf3r22q77NIUFp4KqYpTDPIh2s/pqhoH5u/+pxXlr7M9WNvJr1NGqaqXI7IQQhBWVkZGzdu5KWXXqKwsJCJEycycOBAgLgLC1cHJ3oXC7lTzjF+7shjXTN27Fg2btzI7NmzmTZtGsnJyVE/X/NkqVaLhRQI5UypJEJX2MrmP+vW8e6777Bx0ybSWjblm2/+w9ebN2EpibQJv6YCXdfJy8tj8uTJlJSUkJOTw8CBAyvldfl8vri8kUci2nN1ZzFUSkkwGIy0p778QKUUCQkJTJkyhV27drFo0aJI0YxYCHicKCcQDXMcdoGyFY0bJzNh/HiGDOmHVCV8vX4Dl/2/q2jUrBmPP/YIygalKi9QOuVBMzMzadasGYZhVKqSWPWE34ZCtA84dULXTui4vu6vlBLTNMnIyGD8+PE8+OCDdOrUiXPPPTfqA8nJUM1omCQUCVOAjq00zKCMxNg1odOjVy86d+5CXl6oOLcWqcBSgWVZtGrVimnTprFlyxaeffbZyNTLvZc7Hm/ksdB1PSo1tyrnhol6D5i4D4YaOHAgl19+OfPmzWPjxo0xUyLqRDiB+U4oHhZ6iSAYLOX7775jw+ZN/OeL9Sx+cRE7d+7kzDMHR6xJ1RHMMAyklLRt25YpU6bw3nvv8cYbb1SKGDW0vdyapuHz+aIiFqezOj5KYmJivb6/M6121neuvvpqTj31VGbPns3evXsj+5Ti5XlXTyxKEJqx6YCgaWpTMjLTePmVRdw/dRoPTH2EZ59+jv+5bBRX/u53WCjABFHZqXWnqvTq1YsbbriBv/71r6xduzYy0sTCyb61RSx9DqfgeX3jFqyu64wfP57S0lKefvppysvL66V2W21RTZ8lHDtWGghJz969mJ07m32lJVi2xC8MOrTtQIcuWZQLsKWJEo4vcvQjry+88EIKCgqYPXs2zZs359RTT42bGxcPuKttOo51NLEsi2bNmnHnnXcydepUOnbsyMiRI2NqUDkW1RNL+LPoABKSm7eg/xktD7tMAZq00YWGhoESR69W6Dy4a6+9lh07dvDEE0/w0EMP0bp168jKfUPBOey0vnFXd3HOkHS+X98d1InA2bZNr169GD16NPPnz6d9+/b079+/kv8Sq8++eq3SQNPC/nzkL4cjAL+m4xM6uuZHiKM7lI759fl8TJw4EU3TmDlzJvv374/Zm3WiOBvTDMOISiKl8/7OwOSss0QLd5BhxIgRDBs2jJycHHbt2lVpGh5tC3g0ot4rTdMkJSWFqVOnsmPHDp5//vkGWa09WgUr3FbE6aixMNWVUnLTTTeRkpLCrFmzKCoqqhSMiEWiLhZn5MvMzIxEyN56663IinesJCKeDO5jvaP9GcrKymJqxLZtm6SkJLKzs9m4cSNLly6N+el31FrmJFM66feWZdG7d2/GjBnDM888w9q1a5FSUl5eHvWOVhMcXyFan8GxLpZlxcz5lhCycpZl0aFDB+68805ee+01/vWvf8X0+ZUx0TJn5LUsi4suuog9e/bwxBNP0KxZM7p16xbt5p00js8QrXUWN7quR91nceMMHpZlMWzYMLZu3crcuXNp164dHTt2jHLrjkxM2DwnFu+IZvTo0fTu3ZtZs2bx448/RqZqsTCdORmEENU6/LSucO6dk+4SC/fQWXNzrNzvf/97OnXqxPTp09m3bx9QcVxfrBATYoHQyOeYYE3TyM7OxjAMcnJyOHDgAEBcrfZCxXQn2lm2SinKyspiqniEpmmRElZOVDQ7O5t9+/bx3HPPUV5eHnORsZgRi2NdnIhIcnIyU6ZM4dtvv43cvHha7XXj+GT1jXvdwj0NjAWxuFFKEQwGadWqFZMnT2bNmjW88847QGy1NWbE4sZZcW7bti1/+MMfWL16NStXrow7oThhW8MworL5yz21FULg8/nqvQ3VwRkknSDPNddcw1NPPcWGDRsqhbuj/fxjUixQUX2+b9++jBs3jmeffZa1a9dGzHY8+DBOJ4jm5i+3WCqqu8QW7sgowGWXXcagQYP485//TH5+PhAKNUd7Gh6TYnF3MoDhw4dz6aWXMnv27Erp3bE0n41VnGmMU3MtVqm6c/P2228nMTGRv/zlL5SUlER9TxDEqFiqIqXkuuuuo2fPnpHRJp6KWUR745ezCStesG2b5ORk7rnnHr766iteffVVgKj7rHEjFk3TmDBhAoZhMH/+fA4ePBjTI6UbwzCimkjpTMNieXXcjZNwmZWVxbhx43jhhRf46KOPDjugqr6FExd3z7l5KSkp3HfffXz11VcsXLiQYDAYF4KJ9uYvCAnWCc3H+vTVCSkDnHPOOVx44YXMmjWL77//vlKh9fr+HHEjFqdAX9u2bXnggQd45513WLlyZUxUTYlV3Osq7gTFeLEwDrfccguZmZnk5uZGdUYRN3et6n6IW265heeee46PP/445qNi0cwLg4rt2u52xPL9cuPk1k2aNIndu3dXmlHUt+jjQizuw4ocM/zb3/6WESNGMGvWLDZs2BBzq71Q0SFjITcMKmdBx8P0FSpShVq3bs0dd9zBihUrWL16tTcNqw7OTbJtm9GjR9OlSxdmzJjBnj17Ym564YjF7/dHZfOXux2GYcTsouSxcIRtWRZnnHEGo0ePZsGCBWzcuDGy5lZfxFbvqgbuVWlN07j77rsJBALMnTs3kkMWK9Oyqkc+RIt4siRVcfwtp+rPFVdcQf/+/cnJyeHHH388wZJKimBZGdu2bqW4pAQIHaMCCiWD5O3Yxk/794cqeCkiZYgd4lIsTtFwpVQkh2zLli0sXLiQsrIybNvGNM2oC8ZdCy2andWyrEqWLd6EYxgGfr8/4rfedtttWJbF/PnzKS0txbbtShU3j4gCkOR9t5lbx4zlyw0bAQgqiaIcs7iQh6dM4rWVfwudFSElUiokpvPi+BMLVE66NE2TzMxM7rnnHlatWsWKFSsiEbJoi8Udto1GImXVnZruf8cT7hC4bdukpqYyceJEPvroI5YvXw5UYzahQtVUiw8c4PPPPuPgwUOhb4crrUqrlM3fbCBvzx5CnpByWZY4FosbJ+myb9++3HrrrbzwwgusW7cuMj93L8zVN857JiQkUFZWVu/v78adexXvmKZJt27dGD9+PIsWLWLdunXVPDApNCtpnNSYQEIoT86HgcCP4WtE46Rk/D5/5NqqxL1Y3FOyCy64gAsvvJCZM2eyadOmSGq8bdtRXY+JVl6Te/HOPTrH2zTMjXsPzHnnnce5557LrFmz2LVrF7quR6KiR46UKYQIbSTMzy9g+/YdbN++ne3b88jbUUB5aZDDRVLx3GJiW3FNqFrD9/rrrycvL4+ZM2cydepU0tPTI/WUo9nGaEXq3Hvw3d+LV6omXDpHWjzxxBPcd999JCcnH+vVoIWm7s888yyr3n6XckoJCBujtJSd23dj6AmVLncT95alKoZhcM899yCEYO7cuRQVFeH3+6MyBXEE4sDun5sAABNwSURBVER06hu3NYvlEkMni1KKxMTEyCbBxYsXR+7z0S25QtN0uvfowYAB/Rk8YCADBgyib7/+JDVpglQgXdc2KMtSFdu2adSoEffddx/Z2dm88MILjB07NlJhJRodJlqbvxycz+3eSNUQhONkdDiF5h955BG6devGr3/96yN8PgkopA0+PcAVl1/O4IF9K35sHmDlW2+BWYoO2M4pEK6T6xqcZXGmHZmZmUyaNIm//e1vrFy5MvLz+tw0Fu1ypO41CJ/PF5eLktVBSsngwYM577zzeOihh9i5c+fhFwkbsLGlQEmd0uJSJGAqG1QxJYf2UiyD+AiiAbYWOp9eqIpj0BukWJxRpX///owfP56nn36af//734fNdxs6bgtSNTesoeDUF9iwYQP79+/H7/dTXFx82HWR4K+uY2Mjw8uRIQQIA1sqlLQjohCA+ziuBjcNq7rCf95557Ft2zZycnJo3rw53bp1i+warC/hRHvTkrNI21AGCvcgsHfvXtasWcOKFSto27YtTz/9NK1btz78fgsNBSSnpDBg8Ok0SUkOFbJHADq6P5GevXqT0aYN4JxCJJCIiHganFgc3LXGrrvuOnbs2MHMmTN58MEHadWqVb20wV0oIhqha3eouOqmqXgVjiOCsrIytmzZwquvvsrmzZu54ooruOiiiyoFVSq9DlBK0i6rHU898zT+5MbYgEHoKBVfIIlHHn0Mn78RktCpkFXvUIObhkHlTmLbNrquc9ddd0UiZAcOHKiXzuIuyB1NsTiJlA1hUVIIQWFhIW+88QZ/+tOfKC8v5/HHH+eSSy455jNVaEg0NJ9BSrMUDJ8RzgETKGWASCAlpQWNEhshpAwLQ+CWTIMUi4OzHdlJkZg6dSqbNm3i+eefj+RKhUaq40+Rwul2hFLvKv4mIfJVYfmV853I62Oho7oHkXjwX6q2saysjC+++IK5c+eybNkyLrvsMh555BEyMzMxTfOY4XmFQDlTdGmjkIjI8xEg9MhT1QChVNXIccOdhkFFFMpZ2c3IyGDKlCnce++9ZGRkcPHFF4d9G4GuV4wiSgmUCncuFRKJLQRC2WgqiBI6pjCQSiGURENDINCkQtNDx58rJCgNXdcADWmH77oM/0eIo55zU9s4Rezc/4617Qxu3HtVnHYWFhby/vvvs2zZMjp06MCMGTPIyMgAQoPi8QqKh2JagvD/Kzp++LGLyD84fP4VpkGLpWqKvG3b9OnTh3HjxvHUU0/RsmVLzjjjjMhRB87hSyqcdKeUCkVDhAj3bR3blGiaRCiF0HR8IoiORCgDhYatDGzNwEJhINABXTc4bBYWeot6wfHd4iXdxbEouq5TUlLCxo0bWbZsGT/88ANXXHFFZMrlTLGrI3wR/p9zz7WKHxx25dE006DF4saJkAWDQUaMGEF+fj5z586lVatW/OpXnam0b0HTsG2JQFBWXs5PJSWUBE38CQmkpCTRiCBISf7+Ug4EyxHCxq80WqSk0jjRoLi0jANFxfiEoE3zVPSEBCzppJuEVVLP/dXts8S6WJyAxJ49e/jHP/7BsmXL6Ny5M4899hgZGRlIKbEsq96t4y9GLG5nG2D06NFs3749nFP0B9pknFKpEJ1SIc/k2+++5+NN29izbz/FohGDzhzAuT3aUHrwAE8t+4BCpUgO6CRLixFnDSartc5XX3xJcXEpQUtyqMuvQmdragAqdI4tzkhXtzjWxPkzVgqVHwl3smdZWRkbNmzg9ddfZ8eOHVxzzTWMGDEicp1SKjrpS/X+jlHEPbrqus7dd9+Nruvk5uayf9/+KnW2QElJIOCnf/8+XHbphShfMi+/9xXFEkxL8XNpAheedSa3XjSUGy8eSvfWTdi/exd5O/MYctYQMrI6sP6bbzGlFYpFhoMDUojQaen1hFP61CHWnHsnS1gpRWFhIa+++iozZ87E5/Px2GOPRYQCh9djqE9+UWJxI6WkSZMm3HfffWzduo3FixdjWSaapodHYIHQNH7VuROnZqXTtVUKndqmoYQGFiQoC003sMps7HILv5aAzzDA8KElJFFYdIiioCQxORmh61iWHQmXVS/+Vruf1R0pivYiaVU0TSMYDLJ+/Xpmz57N3/72N6688koeeOCBiBMP0d8u/ouZhh0Jy7I45ZRTuPfeKdw3bSppaadw6aUj0YRESZBKhnwXn8G2wj18uWE9g3udRhOfxPZBx5YGn3+xka81DYVi2KDudG+bTkbbA2zcuBkpoV+PLnx2cA+2baGUCJ38HIXPWrVgRTT8FncdM/cUsaCgIHLMhHOgkbO1IhoW5Gj8YsXizsLt3fs0bhw7jvnz59PmlFMYdMZAnFIGwmew+8cSFq/6lGatU7nkzO4YFgQaJ3PTpQOwLYvCEp15b37I8jUf02v0CIb26c7PpSUkGgk09hl8IS00BULTEdSfVXF3TmeTnPP9aIjFsXDONKq0tJQNGzawcOFCioqK+N3vfsf5558fuV7X9cMimtHkFy0WNxf89r/Jy9vJnDlzSGmawq+6nYpSkL/3AC+/9Rnlmo/LzhtCsrTRLUG5FJQBPr+PxgFIa96EwoI9KNtG06FZYqOIC1/1EdfXI3ccZqcweLQrzDjrO0op8vPzWb16NW+//Tbt2rVjypQppKenY5pmpKZxtMVRlV+sWKpi2YobRt9AQX4+ObPnMfm+qaS1OYW/rVnLR9t3MejcAXy++Vu+t8oZ/Ktu7C0q5eNvvyO1kZ99JUF2bc/nN0P6E9B1UBZCmijNV6nDRgsn1FrfuP0L5wyWsrIyPv/8c1577TX27NnD//7v/zJ8+HCAqO9oPR6xMRmMMk6Sna5rZGffibRsFsxfwP6Dh8jKymTY2b3RrVLK9++nvOgQpm2R2jyFFk2bcLDoIAEdrrpoKEN6Z6ET8uMFoFFRsCIauWFOZ41WqNiJwjkr8gUFBbz++uvMnDmT1NRUZsyYwfDhwyNWx5kqxqpgPMtCOONBCEzLIikpmalT/8Cke6bwyqJF3DT2Bs51ws3h6y1ToYTikgG9I5EtCdhSootQwp4QCi2sGnfl9/rsCO738vl89b4o6TjnJSUlfPHFF7z++usUFBRwww03RKyJM4jEQu7c8fDEQtiyaAIhBdIyyWzblknZdzD1/gc4Ja0FIy8aga7pKCWwEASFxBAm0jJBJCIQGCqITwik8GNpoIftiiD66xpOwcH6qHXsDioIIdi9ezfvvvsu77zzDj169GDixImkpaVFnP1YtSJHwhNLGB0QQgNNoOwgffr1Z9xN48idm0tai1SGDDkbS0psEUq6FOjhqZYWUptmgArlRhrh7DxncTPaOMdk13XHdBYWNU2juLiYDRs28PLLL/Pjjz8yduxYzj777Mh1EB/WxI0nFiqmYaEwlUBqBpZl89sLLmDHzp3Mm/sULVqcQrdu3RC2jSGcfdm+il+AFkn5crqkDE/DAoHAYaN7feBey3BKn0Ld1QRw3isvL49Vq1axZs0aevbsyd13303Lli0j18XKusmJ4onlCAgEKlyMeuzYsezZs4ecnBzuv/9+TjnllOr/Hlc+WjSmYm5hJiYm1nknLS0t5csvv+Tll18mPz+fG264gXPOOQcgkiEcz8SnxOsBp3SSpmmMHz8eKSXz5s3j4MGDQOV8pqPhLgweTb+lNtdYnMiWO4VGSsmuXbt45ZVXmDNnDs2bN2fevHmcc845OCe2xZNvcjQ8y3IEHOfUGYlTUlK4//77mTBhAgsXLozUIZNSHrO8kPP6aIvFOVmgtnBvzCouLmb9+vW8/PLLHDhwgLFjxzJ06NDItVUrhsYznmWpBqZp0qZNG6ZMmcK//vUvVq5ceUJp4oZhRLUUUW2O7M7nFkKwa9cuFi9ezJw5c0hLS2PWrFkMHTq00vpKQ8KzLNXA2cd/2mmnMXr0aHJzc2nRogVDhw6NRJncIVMHx8H2+/1RXcEXQhAIBGrkszifxbEmn3/+OW+88QZ79+7l5ptvjlgTx4LFqxN/LDyxVAO3BRk+fDjbtm0jNzeXtLQ0unbtGpm/uyNOcHgpIieJsGpV+7rCHX2reob8ifwOx3eTUrJ7925WrVrFqlWrOP3005k6dSopKSmVVuEbKp5YToJx48ZRUFDAzJkzIxGyI3XEqguB9e27OO8dDAZP2rI5oj506BCff/45r7/+OkVFRdx2222VfBP3+zVUGp6trGMcKzJhwgR0XY9U6j/Whiqn8oj7xOL66FhOe8rLy09YpO5I3s6dO3nxxReZP38+7du3Z/r06QwdOhTLsmLylOi6whPLSSClJDU1lXvuuYfNmzfzwgsvHLND+nw+pJSUl5dXsjT1hVIKv99/7CJ04RCvuxJMUVERa9euJScnh08//ZRbbrmF8ePH07Rp00qOfkO3KA6eWE4Qx8m1bZt27doxefJk/v73v/PWW28d1amNVgki9/sGAoFjvr9bJLZts2PHDl588UVmzZpF+/btmTFjBr/+9a8jVsQRSdWvhozns9QAy7Lo27cvY8aM4cknn6RNmzYMGjQo5jpNMBg8ZvjYsXKGYVBUVMT69etZunQpJSUlZGdnM3jwYCA0nWuox1ZUB08sJ0hVKyGl5IILLmDXrl3MnDmTBx54gO7du1eq1O98Va2wUteicn6/syhZ9SQwd86YEIIffviBlStXsnbtWk4//XTGjBlDUlJSxJr4fL6YGwjqE08sJ4G7w8hwDtn111/P7t27mTVrFg8++CAtW7asdJiRs+e86uvrEkeQTqZB1XY7fseBAwf48ssvWbRoEaZpkp2dTb9+/SLX/RKmWNXB81lqiJMrpes62dnZBAIB5s6dS3FxcaXNVu6txfW9sq2UIiEhoVKHd5zzH374gSVLlpCbm0v37t2ZOXMm/fr1O6zWmIcnlhrjCEEpRXJyMhMnTmTTpk288MILlJWVAYfXGq5vnCmYW6TFxcV88MEHzJgxgy+++ILs7Gxuv/12UlJSXLWfPWvixpuG1RD34TlKKdq2bcukSZN48MEHSU9Pr1RN0Rmp67sTlpaWRsLClmWRl5fHu+++y8qVKzn33HMZM2YMgUAgcr1jET3BVMYTSw2p2pmklPTv359x48bx17/+ldatW5Oeno7f74+cCXOk19UlzmFGJSUlrFu3jjfffJNgMMgf/vAHTj/99Mg1VdvkCaUynlhqGWe6M3z4cPLy8pg9ezbXX399ZP0CKpzm+kw23LdvH88//zwffvghw4YN47rrrovs4HTqB3scG08stUhVAThnWc6ZM4fy8vLDHP66xp24+dFHHyGlZMqUKfTp0wcICdvn8zW4VPq6wnPwaxm3EHRdZ+LEibRs2ZLt27dX8m/qQyyOH5WRkcHtt99OTk4Offr0Oayyijfdqh5CecNKneHsO9+xYwfTp09n3LhxdOvWrd4iY05AIRgM0qhRo0rfi+VidrGKJ5Y6xL3wt2vXLgzDoFWrVocdLlRXuNeAqj5mTygnjieWeqTqwaJeh40vPJ+lzqg8BrmF4t6G7BE/eNGwGqIIV01RGq7yeiBk+KziCifaXe2lLqzK8QToWbKa4YmlRihwxIIgdFCkCp0fqSRKiLBgwlfUS/TpaLsW3bUyPU4GTyw1xnWWl3CfR6IB3kJfQ8ITS01RzogdOnhCKtA1jfJyk/zdeRTsKcA0TZKTk2nVqhWtWrWq97BtSLgeNcWLhtWQ0O2TgEJhIyUUF5fw1oq3ef2119m3fx8AjRo1IjMzk+zsbLKysoDar61V0ZYQTui6vDyIruvhZElvKnayeENOjQlbFgGgUMpi2bJlTJlyL5lt2/GnP/2J+fPnc9ddd9G4cWN+/PFHoP72tJSWlrJ06Ut88skneEKpGZ5lqSGhuydB2AgkO3fs4JJLR9G1W08WPvsMPl/lmW55eRlCaBiGUWeWRaLQwiL+cc9uLrxwBBeMuIRp06bV6vv90vAsS22gRMR32fjFf9j5ww4uvvxKfD4DKc3IF9gkJPjw+TTq4oBvoUBKsIQEKUKi1Mtp4jfQfY1r/f1+aXgOfk1QICQoBCJ8mFFh/m4s0yKrY0ckoGmHR8TqLNVFiXCYQYXFC5qwEUqhvHGxxnh3sKaI0LqKHe78CQl+NCEpKTrgurnC9adAKYE3+Y0/PLHUAs6JxSBol5VFk6TGfPx/a8M+hLOyr6EUWJYd2eLrEV9407AaEz5rXggUkq49ujN40ABeXbKIwQNPp1u3rui6QTBYztatP9C6dRrp6W0wDC8yFW94YqkJTloLGgqBRNEkNYXsSePJvus+7r33XoYMGUpSUmP279/PV199zaRJE8nMzIx2yz1OAm8aVlPCyyw6gNKwpU7fgUNY+PzzXHrppRQU5LNlyxaEgDFjbqBv377hI8DrzrLoER9JIaWPoASkeayXeFQDz7LUCAFCrxhxhI4wQiHadu07Mn78HfXaGqUpNAW60kCTSKmwSSSpRUuSGv9yaxTXFt6iZAOiarqLbduUlpWx9sMPadOmDT179o5e4xoAnlgaEEcSC4Bh+J0r8FJeTh5PLA2IqmKp/GjFERdIPaqP57M0YCoHETyLUlO8aJiHRzXxLEuDwxv/6gpPLA0IryBF3eINQx4e1cQTi4dHNfHE4uFRTTyxeHhUE08sHh7VxBOLh0c18cTi4VFN/j//aRL2Fv6PMgAAAABJRU5ErkJggg==)
∠B ≅
△ ABC ≅△ GHI
![](data:image/png;base64,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)
∠B ≅
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMoAAACrCAYAAAAnzQNXAAAgAElEQVR4nO2deWAUVbb/P7equtMJCQlrMCQsYRkCArLIosND0VHeKC48xZ+jvlERFFcwiIIK7joOIIGwOI6KCyBuiIiDjgyOI2/ckHFBEBQEAgkRZQnZuqru/f3RXU0lLAZI0t2xPjMRSKrTt6vu9557zj33XKGUUnh4eBwVLdoN8PCIBzyheHjUAE8oHh41wBOKh0cN8ITi4VEDPKF4eNQATygeHjXAE4qHRw0wot2AhoEM/6khAUVoBBIA2K7rROS7B/+sXVT4q/q7Hfyp5PAIvHHzyHhCOWEUKBulBEoIpBChjqoUAoVAglCAAFVdKAIhalcwbimIyFeoLaBQ6shCEcITypHwhFIrVO3sQoU6p4YCYYR/blM1V0gd9rW136qDIgmhhcUpCAnH3RaPI+EJpZYRClASoWwUNpt/2E5FRZBOnTtjGDruTlkXEqlqs0L2RSmFUjaaZiCEDoBt22iaFrFoR7Y0HgDCS4qsBZSNUqCEHuqUtomm2fy0q4irR47h+y0FvLDgRU7tcwoy4sUoBBqilv2Cg7YjZEmkbSGlhSbAllBc/DPbtxew+6fdBBISSE8/iYyMk0hLSwsL2eNweBalVhAu86AQAjRd58NV/6CwsAih+XnttSX06tUDNAFhsWjIWhdKqDUqYk2kbQGS8vJK3vv7e7yxbAWFhUWUlZWhaRpNmjShf79+XH/D9TRt2qTW29JQ8IRSCyjX34QIfZllZby59E1+P/T3NGrSkldefYUbbrqeNq0zsAh1ZlUHk6/Q71Xh367QdYGy4bVXXubRx6bxX2eezZ0T7qRVq3Qqg0G++eYbvl73NSUlJZ5QjobyOEGksmVQ2dJW0pJKWpVKqRK15rN/qd907KzeX/VP9cWaz1TH9u3VwkWLlamUKrVtZdqVypaVddAaqSwllakspVS5UrJUbfxmjeqak6NuuHGssiz7sK+rsA//fY8QnkU5QRSghEJIEEqAplDSZMmypZyU3YVTevUiNdnglK6deXv5coZd8j9omhYOH1P7Hn3YvCkhUCpk3dZ88hk7f9zPlSNHoesapWY5JXtLELaNJnSMhAT8ycn4NYWowyhcPOMJpVbQAAXCBgHFhT/x7jur6P/bc5DS4ud9QQafeQZP5P+V9Ru+p/vJnVFSo5aXUAAQSoYXOwUCA5Bs216I4U+kVatWAJSX7Of5+U+zv/hnbBN8KWlcc8P1tG/dovYb1EDwVphOGAEqHPYVJgidDz/8iO82buHAgf08PX8+zz/7FAUFBezb8zNvLnkDIVV4laUulBISCwiU0AANw+dHWhZlpRUA6JpGk9RUmjVtzvYtW/nL3Gf4cdfPtd+WBoQnlFpAydA0RwkTyyxnxdt/p2vXHpzS4+RQxxUa2R06MrD/qby3YgWFxXsQoo6EAigUtlDY4UXFLl06oMsKPvn3amypaJLWnFGjb2LcxLu4/A9XkprWBG8SfnS821OLCCHZuO5rPvnoM26dMImR115R5edZmW247I+j+ff//R+XDj8fVN2MU7YmwpE1ia5MBg7ozX+ddgpPzZ1FRkYrenX/DQl+DWXD9p1bKTNL66opDQZPKCdIJJ9KCEBn89at9OzdhzPPGIwJSNtEsy18uqDfwIFceOEwCnduB+omcUSJ0FKjCLvlUkqatGzJffffx8S7H2DKPVPo07cHzdISUZUVfPnVejLbtSYpKVAHrWk4eCvztYGTLyUUBw4cAKWRnJIcWs1QoDlJkQjKy8spr6ygSWpozaL2HXoVFmBo2iWljYZAaDo/7irivbff4R+rVrG9aCeBRo0YcPrp/NdZQ+jW7WQa+/1ezOsIeEJp4IQeb0g0R8tUDkqFT/OCw0fCm5nWAUop3OOPlJLy8vJotij0X2VjWpVYtomSoWRJKRXSVgjbBm/MPCKeUOoAy7KQMpSNe+DAAVauXMm7775LNI23CO+TEbqGVApbhTaUOdu1fLpe63tjGhKeUGoZtxiKiopYuHAht956K8uXL49KRxTi4OYwM2iyf+8+hBBIqSI/RxN14Sw1KDyh1DJCCCzL4quvvmLatGmsXr2aHj16YBjRDzD+tHs3i15cQMm+ffgMX+ibwomUeRwNTyi1gG3bkanWnj17ePvtt3n88ccJBALk5eUxZMgQTNOMcivBloq/PPVXnnvuuUh7bNtG2jbS27h1VKI/zDUAHCtSUFDAyy+/zJo1axgxYgSXXnopAMFgENu2f+G31D2apqEbPhYsWESXLl0ZOnRoZKro+SdHxxNKLVBeXs6nn37KggUL0HWdBx54gJycHEzTxOfzRbt5EcrLy2nbti39+vXj2WefJTMzk+7du2NZlhfx+gU8odQQJ+QrwunrmhaatRYVFbF06VLef/99Bg0axLXXXksgEMC27cgo7fwppYy8LhpYloVpmlx++eXous4TTzzBI488QqtWrUJi8Tgino9SQ6SUkS8hBMFgkLVr1zJjxgzef/99brjhBm688UYCgVAqiK7rEQfe7/dHXhtthBBomsZNN92Ebds89dRTlJaWRgYAj8PjCeUY0DQNXdfZs2cPy5YtY+rUqQQCAfLz8xk8eDCmaR7WF3EEEwsd0efzIYSgUaNGTJkyhc8++4ylS5cCnp9yNOJ06lW9JpaK/D2UXF47VQ/dHVvXdaSUbN68mYULF7J27VquvPJKLr74YiAUPdL1w1cxCa2Ay6h3RMeqOZ8rOzubm2++mby8PDp27Ei/fv085/4IxKdQlElQ2hQckKigRYI0sYSOnqDTIlkjoCWe8BZbpRSWZaGUwjAMSktL+fTTT1m0aBGGYfDwww/TpUuXSH0sd42sw/2uWMA0TUzTjAjasix+97vfsWHDBmbNmsVDDz1EZmYmUkp0XY+qPxVrxKdQ0NhXUsa8JZ+y11Sk+jUs26JTRhMuP7MngUDt1KdyOv/OnTtZvnw57777LmeeeSbXXHMNjRo1iqxFOPP+I+H3+1FKYdt21BcedV2PCCW0Qi8ZNWoUW7ZsYfbs2UycOJHGjRvHjLhjhfgUitA5UC74dtN2Tvuv/nRp3RjLtmmenECC7j+hX+1EtoQQmKbJt99+y3PPPcfu3bvJzc3ltNNOA6gS1folAoEAUkosyyIhIeGE2nei+P3+iFg1TcM0TQKBABMmTODWW29l8eLFjBw5EsMwIvfCI16FgsDUdJISE+jdsSWnZqaiGzoJho7fMkM5GcfxgJ05vGEY/Pzzz6xcuZIlS5bQqVMn7rzzTtLT06uEiR0r8kud6WDZ0uiO0tUjb8600rZtWrVqxe23387DDz9MdnY2v/vd7yLX/pLF/DUQp0JR6JpCGQm88+m3fLPRIEE36N2lHT0yUgi4nPtjQQiBbdts2bKFV155hTVr1nD55ZczfPjwKqI43lE22qOzaZpYllVlfcfdpgEDBjBixAjmzZtHVlYWXbp0wTRNTyjEa3hYWTRvpBhx9il0a5VCQAk+/WYbf37lAz7/2UQe5/EFZWVlfPTRRzz++OPs2LGDhx9+mEsuueSE10CciFmsrKMcKbIlpeSKK64gJyeHmTNnUlxcHAkn/9qJS6EoFCkBwfBTO3LNmT25/rz+3HjFULYW7eGj73ccNRPW6SROyNb5d2FhIQsWLGD27Nn07duX6dOnR6JaJ2JFoKozH02UUvj9/kh73FNB535omsYdd9xBRUUFzz77LBUVFUcMe/+aiMupl1Q6lqUjKEPT/VQKHU0GaaZX0kQ7ehEgp4M4nSQYDLJ+/XoWLlxIQUEBt9xyC4MGDYpcXxudxHGeoz0yOwPD4YQvhEDXQ9X409LSmDBhAnfccQfZ2dkMHz486tG6aBOXn14JjS27D7Ct8CcSU1KplIKP/vMtmS1S6dmh9S96J05H2bNnD//4xz9YsmQJ2dnZzJgxg/T0dEzTjKzCNyQsy6pRTpdSipycHMaMGcO8efNo06YNAwYMqIcWxi5xKRSEYF+ZySdff8f+oEIJg7TkREZe+js6tEhGAu4u7rYgztqB22G/6qqruPDCC4GDiYu1Ofo7I3UsRL0gFBb+pdCvlJLzzjuPTZs2MXfuXLKysmjdunV9NTXmiEuhaMqmX8eW9Gj/e/ZXmggBTRMDGNggS0FLwnG/3L6BruuUlpby8ccfs2jRIpKSknjkkUfo3Llz5Nq6iPAkJCQgpYy6jwKhXK8jTaPcwnF8luuvv57x48eTn5/PxIkTSUlJqZI9/WshLj+tEGAr8OkaLZICNEsMAApTSWxRdcHReahCCAoLC3nxxReZM2cOvXr1YurUqXTu3LlKMYi68COcSFO0LYpSCp/PV6MppRMqDwQC3HHHHWzauJHFL70UEzs1o0FcWhSFQCgFyiR0Kq8ATYdwPV+lDq43appGRUUF69at46WXXqKgoCCywu5OVqzLVehYEYpt2wSDwdD00kljqXKFc/wQ4cJ9GrataNeuHbfdfjuPPPwwHTt15swzz4jU/INfR12KuBSKBqGno6DKsXBKoARIWyK0kEicFfalS5fSuXNn8vPzadasWejysLWp6w5c2z7P8WJbViSJU0oFmvtgPIUQNhYGEoWOja5JUGApjd+efjrDL7mUuU/+hYzMTDp06hi2wipU6ih6H6teiEuhgAZCO+ziuwCEJrAsk61bt7J48WK+/vprRowYwfDhw6v+lhqmoJwofr8f27aj76MIgWEYoeBC6CjUgz9SCpRCEzYg0YWFoBKEQlMapgxw9R+vZNOG9eQ9MZ37H7yfpk2bYVt2uNxRXM7ia0yD+XRuq1BWVsoHH3zA1KlTKS4u5tFHH2X48OFVFhjrE5/PFxNTLykVmuEPDQzSQigbLXxSixIKhESXJj5pI6SBkskomYKQSWhSYQjFHeNvo6x0HwtemI9VWYrOwXsa7c9XlzQIobhTQxyHfd68efTu3Zs///nPtG/fPvqjOdHrSM77VgaDru/ZCKWQaEihY2FgCV+oxoQMIoXE1DVMHZQhEbqGaStatMwgd/wEVq58n3f/vhKh6wihRSxmLKTp1AVxOvWqiqZpVFZW8s0337Bw4UKKi4sZN24cp59+euSaaC4eRtM/cWc7B4PBiAOuaTpBU7KnrISSSpNyqUht3IhWiT58WPxcYVKwvwwwSZAmjTQ/zZs3w7Ihq0MXzrv4UvKffJaMtp3o06PbIRkPDY0GIRR3SnyXLl0YP3486enpBIPBKhuVokU011HcHVcIMHzOpi2NsmAlqz/9Dz/s+pnicmjcpCl/OKs3WU2S+XT9Zt74YD0tm6WSECyhTQs/558/hJ07i/hm/SY69eyD/t5qHpk6i5l/up+MVi2rZCY3NOJGKNVNuqaFzP22bdtYtGgRa9as4eqrr2bYsGEAkd2EsfDgfD5fbGQPCw3DHz4wSEn8GnTr0JY+vXqw84DNo0+/Ree2rcjs14mf9/5EWqrO/7uwD34VJCAMDE2wZu1XJKam0rtPd8675BKemTuXvzz1FHeOv53ExMQGa1Hixkdx72HXNI0DBw7wz3/+k4ceeoiioiIeffRRhg0bFnHYnT3fsSAUh2gV6XYwTRtNC1kUWykSEn1ktc0gKZBAcoJOi9Q0EholYmORIPwkykTMA5VUWJJAgg9DKZqkBFBCUrivBCPgY9ztN/HlV//htddeiwk/sK6IG4viZLdqmsbOnTtZtmwZ7733HkOGDOHqq68mMTER27YjIolFoj3aBitK0e3QOS1K0ylD4/MfdvHZxgI2b99Ls5TGdMhsgcIiLb0pB77fx9L3v2afbZLZNImLBvekT69TWPOfL/hm7Ze0S2/Oab170NIvyJv+BFlZWZxxxhlR/Yx1RUwLxd2xHId93bp1LFy4kB07dpCbmxvJanVEEmtWBGKnrpdUCsJV7HUpaSQknZsESOmcTscmLVn+7+/49+ebyT6jNQO6NqNnxwx8VpANhSU8MH85mRnNuKh3R4YM6M3+A2WkpjVFKJtzzjqb7zduYvbs2bRr14527dpVScBsCMTsp3CSGZ0b/vPPP7N06VKmTp1KWloa+fn5DBgwIBJpcdLiY/HBxI4z7ycxuVn4HyZm5V6SfAfo2jaZQX3SSW6ezNpvCzCVn7IDFWCb+A1F8+REUlOSQYFEkZxgkNG8OQFDw48ApRg1ahQdOnRg1qxZ/PTTT5HnF+3BobaIWYviZPFKKdm0aROLFy/myy+/5Morr6ySEu9cG2tWxI2TJhONTlO1VKqJoYX2oygtkW3Fe/hw7Q/405qyt0JRvreIQad2Bennn59vYHfQJDXBx4ZtB8g+KY2+HTPQ7CAIhUQi0NCEwjQtDJ+PsWPHctttt/Hiiy8yZsyYyPaCWH42NaXmQjlccUYAETr5ViAi59Eiju/QzOp7ucvKyvjkk09YtGgRuq7z+OOP0759+0gYMl4eQKyMqhXlZWCHsn+VsmnRrCkZrcr4dvtPaH4/Vw09hW4dsmgkJZ2zWrNnwyaKf/qJzu3acXqPDrRO0dHMINIwkKGzhhFKIJXCNM1IJZcHH3yQzp07c+655x51j348UXOhhI8ys7XQh9XDSXUgQtmjoVSh0IE0moY7Ta6m98fJ5HWKzr355pusWrWKIUOGcM0110Ryptx7RmKlEx4Np63RCA+7749tS3Q95KMIJWmS7GPogI4MHdAxco0kNB/vmd2SntktD/4eQEmJ8PlQ6GjO8xUCv88HYUH079+fq666innz5kWOlXCmnLHoP9aUY5p6KUJzVE1BZXkF+0tLMO1wyFZopKSkEEhKCl0nQKhjKxrkdtgXLFhAUVERY8eOZeDAgZFrqke04uHGJyYmIoSgsrKy3t/bfX+EEPj9zn4dncO5qBqAfuj3Q8mmGhyUyMGfVHsGI0aMYNOmTeTn5/PAAw/QokWLyDpSrEYkf4lj81EECKHQhcb6b7/lySfnofx+Enw+kIo27dvz3+efR3bH7ONqzE8//cTKlSt588036dy5M3fffTfNmjWL1MuNRUf9l3CHq6O+4EjdF7pw1rFuvvlmxo0bx5NPPsn48eMJBAJxYf2PRM17noCQTQmZ0R++/44FLy7ElxAgp1s3mjRJ5ckn/8LDDz/Kgf2lkdry1Y/RdEeznBtn2zabN29mzpw5vPLKK4wYMYIpU6bQrFmzyP6JeLAcRyJaWcvVCbqSIusKZ+qclpbGpEmTWLt2LUuXLo2Jz38iHOPUy9n/JtF1QfOmLbjiiqvo27s7AIFGjZkxay7btu+kR7dO2MoOW4GDndx9GI9hGJSUlPDZZ5+xcOFCAoFAZA+7c4xCvJpqB7czGw2L4n7/YJXs4bqJRrmDLJ06deL6669n1qxZtG/fPq4rudRYKCp8zHJ4o2hoow+wv+QAwaBJedkBysrKaN++Q6gaeuhVKCURrk097qnIjh07WLJkCf/85z8555xzuOKKK0hKSiIYDMblNOtI6LqOz+erlxH9aAgh6r1I+LnnnsumTZvIy8sjIyODNm3a1Ov71xbH5qNIUFp4+qUpTDPIh6s/pqRkDxu/+pxXFr/MtaNvJKN1OqaqWjLIQQhBRUUF69ev56WXXqK4uJjx48fTv39/gLgL/dYEJ0oXC7lQztF57ghjXTN69GjWr1/PzJkzmTJlCikpKVE/z/JYqXFLhRQI5UyjJEJX2MrmP2vW8O6777B+wwbSWzThm2/+w9cbN2ApibQJv+Yguq5TUFDAxIkTKSsrIy8vj/79+1fJ0/L5fHF1E49GtOfmzkKnlJJgMBhpT335fUopEhISmDRpEjt27GDBggWRAhexENyoKccY9XKcc4GyFY0apTBu7FgGDeqDVGV8vXYdl/y/K0hq2pTHH3sEZYNSVRcfnZKdWVlZNG3aFMMwqlQvrH6SbkMh2oeJOuFpJzxcX/dXSolpmmRmZjJ27FgefPBBOnbsyNlnnx31QeRYOIaolyQU8VKAjq00zKCMxNA1odOtRw86depMQUGoULYWqZRyEMuyaNmyJVOmTGHTpk08++yzkemWe+91PN3EmqDrelRqYlXN9RL1HhxxH8rUv39/Lr30UubMmcP69etjpoxTTTjG+U0o7hV6mSAYLOf7775j3cYN/OeLtSx8cQHbt2/n9NMHRqxI9ZHLMAyklLRp04ZJkybx3nvv8cYbb1SJDDW0vdeapuHz+aIiFKejOj5JYmJivb6/M5V21m+uvPJKTj75ZGbOnMnu3bsj+4xi/XnXXChKEJqp6YCgSVoTMrPSefmVBdw3eQr3T36EZ59+jv+5ZASX/+EPWCjABFHVgXWnn/To0YPrrruOv/71r6xevToywsTCCbq1RSx9Dqf4eH3jFquu64wdO5by8nKefvppKisr66W22olyDD5KOD6sNBCS7j17MDN/JnvKy7BsiV8YtG/Tnvads6kUYEsTJRzf48jHSp9//vkUFRUxc+ZMmjVrxsknnxzzNy2ecFfBdJzoaGJZFk2bNuX2229n8uTJdOjQgeHDh8fUgHI4ai6U8OfQASSkNGtO39NaHHKZAjRpowsNDQMljlxF0HloV199Ndu2beOJJ57goYceolWrVpEV+YaCc7BofeOuwuKc2eh8v747pxNps22bHj16MHLkSObOnUu7du3o27dvFX8l1p59zVujgaaFfffIXw5FAH5Nxyd0dM2PEEd2Hh2T6/P5GD9+PJqmMX36dPbu3RtzN+p4cTaVGYYRlaRI5/2dQclZR4kW7oDCsGHDGDJkCHl5eezYsaPK1Dvalq86MdEbTdMkNTWVyZMns23bNp5//vkGWTU9WsUl3NbD6aSxML2VUnLDDTeQmprKjBkzKCkpqRJ4iCViQijOiJeVlRWJhL311luRlexYSSo8HtxHZ0f7M1RUVMTUSG3bNsnJyeTm5rJ+/XoWL14cs1PuqLbISYx0Uugty6Jnz56MGjWKZ555htWrVyOlpLKyMuqd7ERwfINofQbHqliWFTPnSULIulmWRfv27bn99tt57bXX+Ne//hWT50XGTIucEdeyLC644AJ27drFE088QdOmTcnJyYl2844bx0eI1jqKG13Xo+6juHEGDsuyGDJkCJs3b2b27Nm0bduWDh06RLl1VYkZG+fE2h3BjBw5kp49ezJjxgx+/PHHyPQsFqYwx4MQokYHjdYVzr1zUlhi4R46a2qOdfvjH/9Ix44dmTp1Knv27AEOHpEXbWJGKBAa8Ryzq2kaubm5GIZBXl4e+/btA4iLVVw3TieIdrasUoqKioqYKvSgaVqkzJQT/czNzWXPnj0899xzVFZWxkwELKaE4lgVJ/KRkpLCpEmT+PbbbyM3Lh5WcQ+H44PVN+51CffULxaE4kYpRTAYpGXLlkycOJFVq1bxzjvvALHR1pgSihtnJblNmzbcc889rFy5kuXLl8edSJzQrGEYUdm45Z7OCiHw+Xz13oaa4AyQTkDnqquu4qmnnmLdunVVQtrRev4xKxQ4WAW+d+/ejBkzhmeffZbVq1dHTHU8+CxOB4jmxi23UA5WYYkt3BFQgEsuuYQBAwbw5z//mcLCQiAUTo7W1DtmheLuYABDhw7l4osvZubMmVVStGNh/hrrOFMXpyZarFJ9x+Wtt95KYmIif/nLXygrK4vqnp6YFUp1pJRcc801dO/ePTLKxFPhiWhv2nI2UMULtm2TkpLCXXfdxVdffcWrr74KEDUfNa6Eomka48aNwzAM5s6dy/79+2N6hHRjGEZUkyKdqVcsrnofDid5Mjs7mzFjxvDCCy/w0UcfHXI4VH2JJj7uGgdvXGpqKvfeey9fffUV8+fPJxgMxoVYor1xC0JidcLvsT5ldcLGAGeddRbnn38+M2bM4Pvvv69S9Ly+PkdcCcUpntemTRvuv/9+3nnnHZYvXx4T1U1iFfe6iTvZMF4si8NNN91EVlYW+fn5UZlJxNXdqr6f4aabbuK5557j448/jvnoVzTzvODgFmt3O2L5frlxcuUmTJjAzp07q8wk6kvwcSMU90FBjun9/e9/z7Bhw5gxYwbr1q2LmVVcN05njIVcL6iazRwPU1Y4mP7TqlUrbrvtNpYtW8bKlSu9qdcv4dwg27YZOXIknTt3Ztq0aezatSvmphSOUPx+f1Q2brnbYRhGzC44Hg1H1JZlcdpppzFy5EjmzZvH+vXrI2tqdU1s9aoa4l5t1jSNO++8k0AgwOzZsyM5YbEyFat+7EK0iCcLUh3Hv3Kq81x22WX07duXvLw8fvzxx2Mse6QIVlSwZfNmSsvKgNBRJqBQMkjBti38tHdvqMqWIlIaOG6F4hTwVkpFcsI2bdrE/PnzqaiowLZtTNOMuljctcqi2VEty6pi0eJNNIZh4Pf7I37qLbfcgmVZzJ07l/LycmzbrlIJ87AoAEnBdxu5edRovly3HoCgkigqMUuLeXjSBF5b/rfQmQ1SIqVCYsanUKBqAqVpmmRlZXHXXXexYsUKli1bFomERVso7tBsNJIiq++wdP87nnCHuW3bJi0tjfHjx/PRRx+xdOlSoAazCBWqclq6bx+ff/YZ+/cfCH07XAFVWuVs/GYdBbt2EfJ8VHxblOo4CZS9e/fm5ptv5oUXXmDNmjWR+bh70a2+cd4zISGBioqKen9/N+5cqnjHNE1ycnIYO3YsCxYsYM2aNTU8rCg0G2mU3IhAQijvzYeBwI/hS6JRcgp+nz9yrUODEIp7Gnbeeedx/vnnM336dDZs2BBJb7dtO6rrLdHKU3IvzLlH5Xiberlx72E555xzOPvss5kxYwY7duxA1/VI9PPwETGFEKFNgIWFRWzduo2tW7eydWsBBduKqCwPcuiBiip2tgKfCNVr6l577bUUFBQwffp0Jk+eTEZGRqS+cTTbGK2InHvPvPt78Ur15EnnWIknnniCe++9l5SUlKO9GrTQdP2ZZ55lxdvvUkk5AWFjlJezfetODD2hyuXQQCxKdQzD4K677kIIwezZsykpKcHv90dl2uGIw4nc1DduKxaLZYBOFJ63sAsAABM6SURBVKUUiYmJkQ1+CxcujNznI1twhabpdO3WjX79+jKwX3/69RtA7z59SW7cGKlAuq5tMBalOrZtk5SUxL333ktubi4vvPACo0ePjlRCiUZnidbGLQfnc7s3QTUE0TiZGk7R90ceeYScnBx++9vfHubzSUAhbfDpAS679FIG9u998MfmPpa/9RaY5eiA7ZzGILSGaVGcqUZWVhYTJkzgb3/7G8uXL4/8vD43fEW7RKh7jcHn88XlgmNNkFIycOBAzjnnHB566CG2b99+6EXCBmxsKVBSp7y0HAmYygZVStmB3ZTKID6CaICthc6AF0pvuEJxRpO+ffsyduxYnn76af79738fMr9t6LgtR/Vcr4aCUw9g3bp17N27F7/fT2lp6SHXhYcs0HVsbGR4qTGEAGFgS4WSdkQYAhCIhjn1qr5yf84557Blyxby8vJo1qwZOTk5kd1+9SWaaBfFcBZgG8og4R4Adu/ezapVq1i2bBlt2rTh6aefplWrVofeb6GhgJTUVPoNPJXGqSmhovIIQEf3J9K9R08yW7cGnFOABLKhCsXBXQvsmmuuYdu2bUyfPp0HH3yQli1b1ksb3EUdohGedoeDq294ilfROAKoqKhg06ZNvPrqq2zcuJHLLruMCy64oEoApcrrAKUkbbPb8tQzT+NPaYQNGISOM/EFknnk0cfw+ZOQhE5idH5Dg5x6QdUO4pxZf8cdd0QiYfv27auXjuIujh1NoThJkQ1hwVEIQXFxMW+88QZ/+tOfqKys5PHHH+eiiy466jNVaEg0NJ9BatNUDJ8RzukSKGWASCA1tTlJiUkIKcPiCE2+GqxQHJwtxE7aw+TJk9mwYQPPP/98JPcpNEL98rQonDpHKI3u4N8kRL4OWnvlfCfy+ljopO4BJB78leptrKio4IsvvmD27NksWbKESy65hEceeYSsrCxM0zxqCF4hUM60XNooJCLyfAQIPfJUNUAo5Tz0hj31goPRJmfFNjMzk0mTJnH33XeTmZnJhRdeGPZlBLoeGj0gdJqxUuGOpUICsYVAKBtNBVFCxxQGUimEkmhoCASaVGh66IhxhQSloesaoCHt8EOR4f8IccRzZmobp8Cc+9+xtiXBjXuvidPO4uJi3n//fZYsWUL79u2ZNm0amZmZQGhA/KXi3jphfyT0/4OdP/zYReQfB/9waPBCqZ7mbts2vXr1YsyYMTz11FO0aNGC0047LXLcgHPwkQon0CmlEIQ6dKhf69imRNMkQimEpuMTQXQkQhkoNGxlYGsGFgoDgQ7ousEhM6/QW9QLjq8WLyksjiXRdZ2ysjLWr1/PkiVL+OGHH7jssssi0yxnWl0T0Yvw/w5ZbT/kVohD9NLgheLGiYQFg0GGDRtGYWEhs2fPpmXLlvzmN51wT5NC0zWJQFBRWclPZWWUBU38CQmkpiaTRBCkpHBvOfuClQhh41cazVPTaJRoUFpewb6SUnxC0LpZGnpCApZ0UkjCCqnnvur2UWJdKE7wYdeuXfzjH/9gyZIldOrUiccee4zMzEyklFiWVW9W8VclFLdjDTBy5Ei2bt0azhG6h9aZJ1UpEqdUyBP59rvv+XjDFnbt2UupSGLA6f04u1tryvfv46klH1CsFCkBnRRpMeyMgWS30vnqiy8pLS0naEkOdP5N6CxLDUCFzozFGeHqFseKOH/GStHww+FO3KyoqGDdunW8/vrrbNu2jauuuophw4ZFrlNK1avPF1t3qh5wj6q6rnPnnXei6zr5+fns3bO3Wh0sUFISCPjp27cXl1x8PsqXwsvvfUWpBNNS/FyewPlnnM7NFwzm+gsH07VVY/bu3EHB9gIGnTGIzOz2rP3mW0xpheKN4UCAFCJ0Ink94ZQjdYg1R97J9lVKUVxczKuvvsr06dPx+Xw89thjEZHAofUT6oNfnVDcSClp3Lgx9957L5s3b2HhwoVYlomm6eGRVyA0jd906sjJ2Rl0aZlKxzbpKKGBBQnKQtMNrAobu9LCryXgMwwwfGgJyRSXHKAkKElMSUHoOpZlR8JiNYuz1e5ndUeEor0AWh1N0wgGg6xdu5aZM2fyt7/9jcsvv5z7778/4rBD9LZ4/6qmXofDsixOOukk7r57EvdOmUx6+klcfPFwNCFREqSSIV/FZ7CleBdfrlvLwB6n0NgnsX3QoYXB51+s52tNQ6EYMqArXdtkkNlmH+vXb0RK6NOtM5/t34VtWyglQicsR+GzVi8uEQ0/xV1nzD0tLCoqihz14Bwm5GyPqE/LcSR+1UJxZ9P27HkK148ew9y5c2l90kkMOK0/TtkB4TPY+WMZC1d8StNWaVx0elcMCwKNUrjh4n7YlkVxmc6cNz9k6aqP6TFyGIN7deXn8jISjQQa+Qy+kBaaAqHpCOrPmrg7prPBzfl+NITiWDZn6lReXs66deuYP38+JSUl/OEPf+Dcc8+NXK/r+iGRy2jwqxeKm/N+/98UFGxn1qxZpDZJ5Tc5J6MUFO7ex8tvfUal5uOScwaRIm10S1ApBRWAz++jUQDSmzWmuGgXyrbRdGiamBRx16s/3vp63I5z7BTpjnYlGGf9RilFYWEhK1eu5O2336Zt27ZMmjSJjIwMTNOM1BiOlejcr1oo1bFsxXUjr6OosJC8mXOYeO9k0lufxN9WreajrTsYcHY/Pt/4Ld9blQz8TQ67S8r5+NvvSEvys6csyI6thfxuUF8Cug7KQkgTpfmqdNZo4YRT6xu3P+GcgVJRUcHnn3/Oa6+9xq5du/jf//1fhg4dChD1nahH4lftzLtxEuZ0XSM393akZTNv7jz27j9AdnYWQ87siW6VU7l3L5UlBzBti7RmqTRv0pj9JfsJ6HDFBYMZ1DMbnZDPLgCNg8UlopHr5XTUaIWDnWibs9JeVFTE66+/zvTp00lLS2PatGkMHTo0Ym2c6WGsicWzKGEEoRHPtCySk1OYPPkeJtw1iVcWLOCG0ddxthNSDl9vmQolFBf16xmJYEnAlhJdhJLvhFBoYcW4K7DXZydwv5fP56v3BUfHES8rK+OLL77g9ddfp6ioiOuuuy5iRZwBJBZy4Y6EJ5QwClCaQEiBtEyy2rRhQu5tTL7vfk5Kb87wC4ahazpKCSwEQSExhIm0TBCJoc09KohPCKTwY2mgh+2JIPrrFk4xwPqoPewOIAgh2LlzJ++++y7vvPMO3bp1Y/z48aSnp0cc+1izHofDE4oLHRBCA02g7CC9+vRlzA1jyJ+dT3rzNAYNOhNLSmwRSqAU6OHplRZSmmaACuU5GuFMO2fhMto4R1HXdad0Fg01TaO0tJR169bx8ssv8+OPPzJ69GjOPPPMyHUQ21bEjSeUMM7UKxSOEkjNwLJsfn/eeWzbvp05s5+iefOTyMnJQdg2hgjlooLv4C9Ai6RwOd1RhqdegUDgkFG9PnCvVTjlSKHu9vA771VQUMCKFStYtWoV3bt3584776RFixaR66K9LnKseEI5AgKBCheGHj16NLt27SIvL4/77ruPk046qea/x5VfFo3pl1uUiYmJdd5By8vL+fLLL3n55ZcpLCzkuuuu46yzzgKIZPrGI/El63rGKW+kaRpjx45FSsmcOXPYv38/UDU/6Ui4i3RH00+pzTUUJ4LlTouRUrJjxw5eeeUVZs2aRbNmzZgzZw5nnXUWzklp8eCLHAnPohwBxxF1RuDU1FTuu+8+xo0bx/z58yN1wqSURy0B5Lw+2kJxKvzXFu5NVaWlpaxdu5aXX36Zffv2MXr0aAYPHhy5tnolz3jEsyg1xDRNWrduzaRJk/jXv/7F8uXLjynV2zCMqJYLqs0R3fncQgh27NjBwoULmTVrFunp6cyYMYPBgwdXWT9pCHgWpYY4++5POeUURo4cSX5+Ps2bN2fw4MGRaJI7LOrgONN+vz+qK/NCCAKBwAn5KM5ncazI559/zhtvvMHu3bu58cYbI1bEsVzx5rAfDU8oNcRtOYYOHcqWLVvIz88nPT2dLl26RObr7sgSHFouyEkIrF5dvq5wR9mqn9F+LL/D8dWklOzcuZMVK1awYsUKTj31VCZPnkxqamqV1fWGhieU42TMmDEUFRUxffr0SCTscJ2w+iJfffsqznsHg8HjtmiOoA8cOMDnn3/O66+/TklJCbfccksVX8T9fg2NhmMb6xHHeowbNw5d1yMV84+2GcqpEOI+Gbg+OpXTnsrKymMWqDtit337dl588UXmzp1Lu3btmDp1KoMHD8ayrJg8jbm28YRynEgpSUtL46677mLjxo288MILR+2MPp8PKSWVlZVVLEx9oZTC7/cfvUBcOIzrrthSUlLC6tWrycvL49NPP+Wmm25i7NixNGnSpIpT31AtiYMnlOPAcWht26Zt27ZMnDiRv//977z11ltHdGCjVSbI/b6BQOCo7+8WiG3bbNu2jRdffJEZM2bQrl07pk2bxm9/+9uI9XAEUv2rIeL5KCeIZVn07t2bUaNG8eSTT9K6dWsGDBgQcx0mGAweNUTsWDfDMCgpKWHt2rUsXryYsrIycnNzGThwIBCawjXUoyOOhieU46C6dZBSct5557Fjxw6mT5/O/fffT9euXatUzHe+qldCqWtBOb/fWXCsfgKXOwdMCMEPP/zA8uXLWb16NaeeeiqjRo0iOTk5YkV8Pl/MDQL1gSeU48TdWWQ4J+zaa69l586dzJgxgwcffJAWLVpUOUjI2SNe/fV1iSNGJ4OgersdP2Pfvn18+eWXLFiwANM0yc3NpU+fPpHrGvK0qiZ4Pkot4OQ+6bpObm4ugUCA2bNnU1paWmWjlHs7cH2vWCulSEhIqNLZHUf8hx9+YNGiReTn59O1a1emT59Onz59DqkF9mvGE0ot4IhAKUVKSgrjx49nw4YNvPDCC5Gz5avX/q1vnGmXW6ClpaV88MEHTJs2jS+++ILc3FxuvfVWUlNTXbWYf71WxI039aoF3AfXKKVo06YNEyZM4MEHHyQjI6NKlUNnhK7vDlheXh4J/VqWRUFBAe+++y7Lly/n7LPPZtSoUQQCgcj1jiX0xBLCE0otUL0jSSnp27cvY8aM4a9//SutWrUiIyMDv98fOZPlcK+rS5yDhMrKylizZg1vvvkmwWCQe+65h1NPPTVyTfU2eSIJ4QmlDnCmOEOHDqWgoICZM2dy7bXXRtYn4KCDXJ+Jg3v27OH555/nww8/ZMiQIVxzzTWRnZdOPV+Pw+MJpZap3vmdsyNnzZpFZWXlIc59XeNOwvzoo4+QUjJp0iR69eoFhETt8/kaTDp8XeE583WAWwS6rjN+/HhatGjB1q1bq/gz9SEUx2/KzMzk1ltvJS8vj169eh1SAcWbYh0dobyhpE5x9olv27aNqVOnMmbMGHJycuotAuYED4LBIElJSVW+F4uF5mIVTyh1jHtRb8eOHRiGQcuWLQ852KeucK/xVH/UnkhqjieUeqb6IZ5eZ40PPB+lTqk6BrlF4t467BH7eFGvWkARrm6iNFyl70DI8JnABx1md1WWurAmvyQ+z4IdH55QThgFjlAQhA5mVKHzGpVECREWS/iKeokyHWm3obuGpcex4AmlVnCdoSXc54FogLeI1xDwhFIbKGekDh3+IBXomkZlpUnhzgKKdhVhmiYpKSm0bNmSli1b1ntoNiRaj+PFi3rVAqFbKAGFwkZKKC0t461lb/P6a6+zZ+8eAJKSksjKyiI3N5fs7Gyg9mtfHWxLCCc8XVkZRNf1cOKjN/06VrxhplYIWxQBoFDKYsmSJUyadDdZbdrypz/9iblz53LHHXfQqFEjfvzxR6D+9qSUl5ezePFLfPLJJ3giOT48i1ILhO6gBGEjkGzfto2LLh5Bl5zuzH/2GXy+qjPcysoKhNAwDKPOLIpEoYUF/OOunZx//jDOG3YRU6ZMqdX3+7XgWZTaQomIr7L+i/+w/YdtXHjp5fh8BlKakS+wSUjw4fNp1MUh2kKBlGAJCVKEBKlX0thvoPsa1fr7/VrwnPkTRYGQoBCI8EFCxYU7sUyL7A4dkICmHRr5qrP0FSXCIQUVFi5owkYohfLGxePGu3O1gQitm9jhjp+Q4EcTkrKSfa4bLFx/CpQSeJPe+METSi3hnAwMgrbZ2TRObsTH/7c67DM4K/YaSoFl2ZFtuR7xgTf1qhXCZ7kLgULSpVtXBg7ox6uLFjCw/6nk5HRB1w2CwUo2b/6BVq3SychojWF4Eah4wRPKieKkqqChEEgUjdNSyZ0wltw77uXuu+9m0KDBJCc3Yu/evXz11ddMmDCerKysaLfc4xjwpl61QXgZRQdQGrbU6d1/EPOff56LL76YoqJCNm3ahBAwatR19O7dO3zMdt1ZFD3iEymk9BGUgDSP9hKPo+BZlBNGgNAPjjhCRxihMGzbdh0YO/a2em2N0hSaAl1poEmkVNgkkty8BcmNfn01g2sLb8GxgVE9hcW2bcorKlj94Ye0bt2a7t17Rq9xcYwnlAbG4YQCYBh+5wq8NJZjxxNKA6O6UKo+XnHYxU+PX8bzURo4VQMGniU5Xryol4dHDfAsSoPEG/9qG08oDQyveETd4A09Hh41wBOKh0cN+P+j7wzsagEzqQAAAABJRU5ErkJggg==)
△ ABC ≅△ GHI
![](data:image/png;base64,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)
Maths-General
Maths-
Observe the given diagram and answer the following questions.
II) What additional information is necessary to prove that △ ABE ≅ △ CDE ?
![](data:image/png;base64,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)
Observe the given diagram and answer the following questions.
II) What additional information is necessary to prove that △ ABE ≅ △ CDE ?
![](data:image/png;base64,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)
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,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)
GH =
△ ABC ≅△ GHI
![](data:image/png;base64,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)
GH =
Maths-General
Maths-
Observe the given diagram and answer the following questions.
I) m∠BAE = ?
![](data:image/png;base64,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)
Observe the given diagram and answer the following questions.
I) m∠BAE = ?
![](data:image/png;base64,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)
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,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)
i) △ CAB ≅
△ ABC ≅△ GHI
![](data:image/png;base64,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)
i) △ CAB ≅
Maths-General
Maths-
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the i) volume in litres of water discharged by the pipe in one minute and ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m
Maths-General