.
= екені белгілі болғандықтан,
Pk+1= P k q k+1 + Pk-1, Q k+1= Q k q k+1 + Q k-1
Осы әдіспен (6) теңдіктің к+1 үшін орынды екенін көрдік.Сол сияқты барлық к≥3 үшін де орынды.
Енді көршілес 2 лайықты бөлшектің айырымы мына қатынасты қанағаттандыратынын көрсетейік:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcAAAAJACAIAAACVHyFhAAA+O0lEQVR4nO3deVxN+f8HcO1liVTGOpZUZGxjN8ZSJDKWaGGyNGEwjKVoxpKm7Mq+Z6dsGaGQJGM3lkQhKRrEWFO0L7+PzM8Y37rd+7nnc86957yef3gYznm/30y9fD73nnuOdlFRUTkAAFCcttADAACoKwQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCgAACUEKAAAJQQoAAAlBCjwJCkpKTY29sGDB48ePXpY7NWrV1nFMjMzc3NzDQwMKlSoUL5YpUqVvvzyy/r169erV4/8aGFhQX4U+k8A8DkEKLDy5s2bkydPnjp1KiYmhkRnRkaG7OPfFfv4n5cuXfr0d6tVq9ahQ4eOxdq3b6+lpcVkaABFIECBY9euXQsNDY2MjLxy5UpBQQFXZZ89e3awGPm5sbHxgAEDnJycunXrhiQFASFAgRvJycnBwcFBQUEJCQmse718+XJjMRMTk6FDh06ePLl27dqsmwL8LwQoKKWoqCgsLGzp0qVkq85/9xcvXpDWq1atGjJkyNSpU62srPifAaQMAQqUMjMzN2/evHz58qSkJGEnycvL27Zt2/bt2wcPHuzv71+9enVh5wHpQICCwkhgrV+/fs6cOc+ePRN6ln+RtXBwcDBZDvv6+o4fP15TU1PoiUD8EKCgABJSQUFBs2fPvn//vtCzlCw9PX3SpElbt27dtWuXpaWl0OOAyCFAQV7Xr18fPXr0lStXhB6kbGTUtm3bbt68eeDAgULPAmKGAIWyvXv3ztvbe8WKFXSXJdWqVYvEmZWVFVkSfvnll9WqVTM1NTUwMNDT0/tQPLPY8+fPHxRLSUmJiYkhIZiTk0M9c0ZGhqOjo4eHx4IFC3CpEzCCAIUyREVF/fDDDw8fPlToLH19/Z49e9rb29vZ2cm+xsiwGPlJgwYN2rVr9/HX8/LySIyeOXPmwIEDFy5cKCoqohg+ICAgISEhJCREV1eX4nQA2RCgUKr8/PyZM2cuXrxYofBq3rz52LFjnZ2dK1eurEx3HR2dtsXIKvLp06ehoaHr1q27ceOGonXCwsL69etHTv+w4AXgEAIUSpaUlDR48GCFXvFs37797NmzycKT82GqV68+plh0dPSyZctIJiqU6REREX369Dl06JCBgQHns4GUIUChBOHh4UOGDCnz0+sfkU26v7+/k5MT06mIbsX+/PPPyZMnk329/CdGRUUNGjSIJK+Ghga78UBqEKDwuYCAAC8vr8LCQjmPd3d3J6d8eB2TH2Rff+7cuT179kyaNOnvv/+W86yjR49OmzZt8eLFTGcDSUGAwr/y8vLINnnLli1yHl++fPnAwECy02c6VWmcnZ2tra1HjBhBklHOU0jQN23adNiwYUwHA+lAgMI/srOzBwwYEBERIefxpqamx44da9myJdOpypwhPDx82bJlU6dOlfMSqx9//PGrr776+uuvWc8GUoAAhfcyMzP79u178uRJOY+vWbNmdHS0ubk506nkRDbyZBKyICV/ijIPzsnJcXNzu3r1qrY2vvhBWfgagnJv377t3bv32bNn5Ty+SpUqZKGqIun5gb29PUn/Pn36vHjxosyDb968OWfOHB8fH/ZzgcghQKUuLy+PrD3lT09NTc29e/c2adKE6VQU2rZtGxkZ2bVr1zdv3pR58Pz58wcOHNi0aVMeBgMRQ4BK3fDhwxW6leesWbO6d+/ObBylNG/e/NChQz179szOzpZ9JPlng2z8o6Ki+BkMxAoBKmnTpk3bvXu3/Me3aNFi5syZ7OZR3rfffrtr1y4HB4cyr7SPjo4+c+YMOZ6fwUCUEKDStWXLFn9/f/mP19DQWL9+verfmKNfv35Tp05dtGhRmUfOnj1b/vfNAP4XAlSi4uLixo8fr9ApAwcObNOmDaN5uDV37txzxWQfdurUKSxCQRkIUCnKzMx0cnLKyspS6Cw1etuaLJODg4OtrKw+fU5yiciaGgEK1BCgUjRu3Lg7d+4odIqNjY16PbKtTp06s2bN+uWXX2QfFhoa+vbt24oVK/IzFYgMAlRyIiIitm/fruhZY8aMYTEMU1OmTNm6davsfyrIYnz//v3Dhw/nbSoQEwSotJBt+9ixYxU9y8DAoHfv3izmYUpbW3vx4sXfffed7MOCgoIQoEAHASotPj4+Dx48UPQsa2trNb2Tpr29/VdffRUXFyfjmLNnz+bl5eno6PA2FYgGAlRCEhMTly5dSnFi27ZtOR+GN7/88ourq6uMA7Kzsy9fvtyxY0feRgLRQIBKiLe3d35+PsWJzZo143wY3ri4uHh5eT1+/FjGMWQRigAFCghQqbhx48bevXvpzq1Rowa3w/BJU1OTZGhAQICMY8q8YhSgRAhQqZg5cybdgy0JY2Njbofh2ZAhQ2QH6N27d3kbBsQEASoJd+7cCQsLoz6dbuOvOlq2bGlpaZmQkFDaAX/99Ref84BoIEAlYdWqVcqcLs+NilWcnZ2djADNysp68eKFiYkJnyOBCCBAxe/t27c7duxQpsKjR4+EfXSH8rp27bp8+XIZB6SkpCBAQVEIUPHbvn27/A8oLlFiYiJXwwilc+fOGhoaMl4FTktL43EcEAkEqPgpdMfPEl25coWTSQRkZGTUuHHjW7dulXaAnM+kA/gUAlTkXr58ef78eSWLKHTLepWFAAXOIUBFLiwsrLCwUMkiT58+vXbtmro/CpgEqIzfRYACBQSoyEVHR3NSJygoSN0DtFGjRjJ+V0NDg7dJQDQQoCJ38+ZNTurs2rVrwYIFan3HjXr16sn4XbwFDxQQoGJGNu+3b9/mpBTZxe/cudPNzY2TaoKQ/XmqatWq8TYJiAYCVMwePHhQ5gN+5efv7z9ixAj13eoiQIFzCFAxe/36NYfVyGJ227ZtJEM5rMmnqlWrlnYpqIGBQYUKFfgfCdQdAlTMlLx+/n/NmjXL2dlZTW+urKmpibfagVsIUDF7+/YttwUfP37s4+OzcOFCbssCqCkEqJiRNRfnNZcsWeLk5NSqVSvOKwOoHQSomBkZGXFek+yCR4wYcfnyZX19fc6LA6gXBKiYVa1alUXZ+Pj4iRMnrl+/nkVxADWCABUzdheHBwYGduvWzcXFhVF9ALWAABUzY2NjkqEvXrxgUdzd3d3CwkLdP98JoAwEqMg1bdqUq4/DfyYrK6tv376XL19W60fOASgDASpyzZo1YxSgRGpqau/evf/44w9DQ0NGLQBUGQJU5Nq0acO0fmxs7HfffXf8+HE9PT2mjQBUEAJU5Hr06CH7URbKO3PmjKOj4/79+9X6Xk0AFBCgImdqatqqVSvWz+QICwsbOHAgMhSkBgEqfr179+bhoUYkQx0cHEiG6urqsu4FoCIQoOJHcs3X15eHRuHh4fb29qGhobizEUgEAlT8mjVrRnbxV69e5aFXVFSUtbX1kSNHZN98E0AcEKCS4O7uzk+AEpcvX+7UqdPRo0dlP0IDQAQQoJIwZMgQDw+PrKwsftolJCS0a9fu4MGD7du356cjgCAQoJJgaGg4bNgwPm//8fz5c7KX37Jli7OzM29NAXiGAJUKLy+vTZs25efn89YxOzubrHwTExNnzpzJW1MAPiFApaJevXqDBw/esWMHn02Lioq8vb3v3bsXGBiIS0RBfBCgEjJ9+vSgoKDCwkKe+27fvv3+/fsHDhxgdH9SAKEgQCXE0tLS1dWVxBn/rc+cOdOhQ4fw8PCGDRvy3x2AEQSotMyfP3///v3v3r3jv3ViYmL79u1///33zp07898dgAUEqLTUqFHDy8vL29tbkO6vXr2ytbXdsGHDsGHDBBkAgFsIUMnx9PTcuHHjX3/9JUj33NzcESNGkNWon5+fIAMAcAgBKjn6+vrLli1zcHAQcIa5c+feu3dv69atuIsoqDUEqBT179/fyclp7969As6wZ8+elJSUgwcPmpqaCjgGgDIQoBK1atWqkydPMnrenJwuXrzYrl278PDwxo0bCzgGADUEqESZmJiQDBX8ucQPHjzo2LHj/v37ra2thZ0EgAICVLrILj6kmLBjvHnzpk+fPiRDe/XqJewkAIpCgEpaYGDglStXyDJQ2DGys7MHDBiwZ8+efv36CTsJgEIQoJJWuXJlEludOnXKy8sTdpLc3FxHR8egoCDyo7CTAMgPASp1bdq0mT9/vqenp9CDlMvPz//++++1tbXJalToWQDkggCFclOmTDl16lRYWJjQg7zPUBcXl/379/fp00foWQDKhgCF93bu3NmuXbuEhAShBymXl5c3aNCggwcP9uzZU+hZAMqAAIX3DA0NDx8+3LZt27S0NKFnef966MCBAyMjIzt06CD0LACyIEDhHw0bNtyzZ0/v3r0LCgqEnqVcZmYm2cWfPn26SZMmQs8CUCoEKPyrR48e/v7+kydPFnqQ916/fk128efOnatbt67QswCUDAEK/zFx4sSEhIR169YJPch7qampZEV8/vz5ypUrCz0LQAkQoPC5VatWPX36NDQ0VOhB3rt9+7aDg0NERIS2Nr5WQeXgixI+p6mpGRwcTLbzZPss9CzvRUdHu7u7b9u2TehBAD6HAIUS6OvrHzp0qFOnTmQBKPQs7+3YsaNJkybTpk0TehCA/0CAQsmMjIyOHTvWsWPHx48fCz3Le9OnT2/RooWtra3QgwD8CwEKpapTp05UVFSXLl3+/vtvoWcpV1hY6OLicvnyZTMzM6FnAfgHAhRksbCwIBnatWtXYW+9/EFaWpqDg8OlS5f09fWFngXgPQQolMHKyioyMtLa2vr169dCz1Lu5s2b48eP37hxo9CDALyHAIWyNW/ePCIionv37unp6ULPUm7z5s1dunQZOnSo0IMAIEBBPq1btz527JidnZ0qZOjYsWPbt29vbm4u9CAgdQhQkBfJrKioKFtbW8H38pmZma6urufPn9fS0hJ2EpA4BCgooFWrVtHR0T169Hj+/Lmwk1y+fNnX1/e3334TdgyQOAQoKKZZs2Z//PGHjY3NkydPhJ1k3rx59vb2bdu2FXYMkDIEKCisUaNGp0+ftra2fvjwoYBjFBQUuLu7X7t2TUdHR8AxQMoQoEDDzMzs3LlzPXv2FPaznvHx8XPmzMFGHoSCAAVKtWvXPnv2LNlEX7x4UcAxFixY4Ojo+NVXXwk4A0gWAhToGRkZRUVFOTk5hYeHCzVDXl7e+PHjT506JdQAIGUIUFCKgYFBaGjoqFGjtm7dKtQMp0+fDg4OHjJkiFADgGQhQEFZWlpamzdvrl69OtlNCzXD1KlT+/btW7FiRaEGAGlCgAI35s2bZ2xsTIJMkO5PnjxZuHChn5+fIN1BshCgwBkPD4+qVauOHj1akOd6Ll26dNy4cTVq1OC/NUgWAhS45ObmZmRk5OTklJ+fz3PrzMxMb2/vwMBAnvuClCFA4R95eXnJyckPHz589OgR+fHx48cvX758/f/evXtHDsgtVlhYqK+vb2BgYGJiUrduXXNz87Zt237zzTcNGjQgdb777jtTU1NBPqe0detWLy+vhg0b8t8apAkBKlEkBO/cuXP16tXY2NiEYvfv35d/651ZjCQsOfH48eOrV68mv2hpaWlnZxcXFyfUpzzJ/H5+fnj8HPAGASohaWlpZ86cOX369IULF65fv04SkNv6H4KY25qKCg4OJht5PPYD+IEAFTmy7yahGR4efvLkyRs3bhQVFQk9EVtkETpv3rxNmzYJPQhIAgJUnMhiMzQ09PDhw5GRkW/fvhV6HF4FBQXNnTu3evXqQg8C4ocAFZWMjIyDBw/u2bPn+PHjZO0p9DjCyM3NXbVq1Zw5c4QeBMQPASoSp0+fJvvWkJCQrKwsoWcR3rp162bMmGFgYCD0ICByCFD19urVq43F7t27J/QsKoT8tZBl+IgRI4QeBEQOAaqubt26tXz58p07d2LJWaINGzYgQIE1BKj6Ibv1efPmHT9+nMOa+vr6TZo0adasmZmZWYMGDerUqWNsbGxiYkJ2wXp6elpaWiSms7Oz09PTHz9+nJqampCQcOPGjZiYmKSkJA7H4NDFixfj4uJwn1BgCgGqTiIjI/38/M6ePctJtYoVK3bv3r1Lly7ffvttixYtNDU1ZRxcvljVqlXr1av36a8/fPjwxIkTISEhZDb+P74p29atW/39/YWeAsQMAaoeoqOjf/311z///FP5UiQEBw0a5Ojo2LlzZ+WfJkTWqm7Fnj17tnnz5mXLlpGfKD8kJ3bv3r148WINDQ2hBwHRQoCqutjY2F9++SUiIkLJOiRHbG1tx4wZY29vr63N/f/3atWqkTknT568du3a33777c2bN5y3UFRqauqpU6e6desm9CAgWghQ1UW+/728vIKDg5X8+JCBgQFZIXp4eNSvX5+r2Uqjp6c3adKkIUOGTJw4cc+ePazblWnXrl0IUGAHAaqKcnNzAwIC5s2b9+7dO2XqkOicMGGCp6eniYkJV7PJg6xGSXJ1796dxCjnn7hXyOHDhwXsDqKHAFU5R44cIbmj5LvbWlpaI0eOnD17toCfaHR3d2/atKm9vf3Lly+FmuHvv/++dOlSu3bthBoAxA0BqkKePXv2888/7927V8k6nTp1WrlyZfPmzTmZShlt27Y9d+5c165dnz59KtQMhw4dQoACIwhQVbF161YPD4/Xr18rU6Ry5cr+/v5k6cfVVMqzsLA4duxYly5dhHpb6fjx43PnzhWkNYgeAlR4jx8//uGHHyIjI5Ws07t378DAQBV8KFCzZs327dtnZ2dXWFjIf/eYmJi0tLQqVarw3xpEDwEqsN27d48bN458hytTRF9ff/HixT/99BNHQ3Gve/fuM2bMEOSpmSS1T5061b9/f/5bg+ghQAVDQnPs2LHKX+tjbm6+f/9+1f/M4uzZsyMiIjj5LICi/vjjDwQosIAAFcaFCxdcXFwePnyoZJ1+/fpt27bN0NCQk6mY0tTUXLduXZs2bfh/6PGlS5d47ggSgQAVANluk/2s8p8cF2pTTK1FixZjxoz58AQ6PsXExJC/bRafvwKJw5cUr169ejVs2LAjR44oWUdXV3fjxo2urq6cTMWn6dOnb9q0KTs7m8+mOTk5sbGxrVq14rMpSAEClD/Xr18fMGBASkqKknUqVap04MABa2trTqbiWY0aNUaPHr1ixQqe+964cQMBCpxDgPJk9+7d7u7uyt/82NTU9OjRo19//TUnUwliwoQJK1eu5Pn5oPHx8Xy2A4lAgDJXWFj4yy+/cHJjSpKe0dHRVlZWypcSkJmZma2trfL3l1JIXFwcn+1AIhCgbL17927w4MFhYWHKlzI2Nj5x4oS6p+cHI0eO5DlAExIS+GwHEoEAZejJkyd9+vSJiYlRvpSRkVFkZGTTpk2VL6UKevfuXaFCBSXvNaWQR48eFRQUaGlp8dYRpAABysqNGzdIepLvW+VLVa5cmaRnixYtlC+lIgwMDOzt7ZW/bYr8SHo+fPjws+eRACgJAcrEH3/80a9fv/T0dOVLkaw5duyYWr9rVCKyCOUzQImUlBQEKHALAcq9Q4cOubi4cHKpo4aGxo4dO0R5NzYbGxueOwp4Sz0QKwQox7Zt2zZy5EiuPq24YMECBwcHTkqpmlq1allaWvL53o7qPO0ORAMByqVVq1ZNnDiRqyscR40aNXXqVE5KqSaysuYzQJ8/f85bL5AIBChnli9fPnnyZK6qde/efc2aNVxVU02tWrXavn07b+1evXrFWy+QCAQoN5YuXerh4cFVtQYNGoSEhIj+mhueP1vJ51VTIBEIUA4sWbLE09OTq2p6enp79+5VizvUKalRo0Z8tkOAAucQoMrasGEDh+lJ+Pv7i++ipRJVrVrVyMhIycdAyU/YByyDKCFAlfLhgRwcFhw0aJAqP5mDc+bm5rzdoz4vL4+fRiAdCFB64eHhw4YN4/BBaQ0aNNi4cSNX1dRCnTp1BHnIBwAnEKCULly44OjoqPxd5T/S1tbes2ePFF76/NQXX3wh9AgA9BCgNO7du9e3b19ub6vu5eUlwTv+8hmgGhoavPUCiUCAKuzFixe9evV6+fIlhzWbNGni7e3NYUF1YWJiwlsvfX193nqBRCBAFZOTk0PWnklJSRzW1NLS2rx5s46ODoc11UX58uVF2QskAgGqmFGjRl28eJHbmh4eHm3atOG2prqoUKECb70QoMA5BKgC/P39d+7cyW1NS0vL3377jduaaoTPUKtUqRJvvUAiEKDyOn78+K+//sp52fXr1+vp6XFeVl3w+Wg5Y2Nj3nqBRCBA5ZKcnOzi4sLVTeo+cnJy6ty5M7c11QufAcrnG1YgEQjQsuXm5pKkS0tL47asgYHB4sWLua2pdhCgoNYQoGWbNGnStWvXOC87bdq0OnXqcF5WvZB/nHjrVb16dd56gUQgQMuwZ8+edevWcV72yy+/9PLy4rys2snIyOCtF/k7560XSAQCVJb79++PHj2aReVFixbhuu5yPAaolpZWrVq1+OkF0oEALVVhYeHQoUNZfId36NDBycmJ87Lq6O3bt/w0qlGjhuhvUA38Q4CWav78+efPn2dR2c/Pj0VZdcTbc4oaNmzITyOQFARoya5evcro+vauXbtaW1uzqKyOeHtSpqWlJT+NQFIQoCXIzc0dNmwYh7eq+xSWn5/6+++/+WmEAAUWEKAl8PX1vX37NovKtra233zzDYvKaurp06f8NOL5+UsgEQjQz8XGxi5atIhRcSw/P5OSksJPo2bNmvHTCCQFAfofBQUF7u7ujDbvffr0kexdl0r08uVLft6FNzU1rVmzJg+NQGoQoP+xfPlyFh86+oDFvUjU2v379/lp1KJFC34agdQgQP+Vmprq4+PDqHiHYoyKq6nk5GR+GknkMdHAPwTov6ZMmcJuR8nts+PF4datW/w0at++PT+NQGoQoP84efLk3r17GRU3MzPr378/o+Lqi7cAxdofGEGAvldYWPjzzz+zqz958mQ8EvJ/8ROg9evXr1atGg+NQIIQoO9t2LCB3TezsbGxm5sbo+LqKy8vLzExkYdGuPAW2EGAvr+fBbv3joixY8caGBiwq6+mbt68STKUh0b44CywgwAtt2DBAnafyNbS0mJ0Qzx1x+5ysc8gQIEdqQdoamrq0qVL2dXv1atX7dq12dVXX/wEqJmZGe6jDOxIPUDnzp2blZXFrj6Wn6W5cuUKD126d+/OQxeQLEkH6F9//bVp0yZ29cnas3fv3uzqqy/yj9b169d5aIS/f2BK0gHq6+vL9KFmP/zwg6amJrv66uvPP/9kdMOBT+np6dnY2LDuAlIm3QBNSkravn07u/paWlojR45kV1+tMbrV/2e6du1avnx5HhqBZEk3QOfPn890EWRnZ4e3j0pz7tw5Hrr06dOHhy4gZRIN0NTU1J07dzJt4e7uzrS++iooKDhz5gzrLhoaGg4ODqy7gMRJNEADAgKYvvpZtWpVe3t7dvXV2uXLl3l4mnGHDh1q1KjBugtInBQD9PXr14GBgUxbODk56ejoMG2hvk6ePMlDl4EDB/LQBSROigG6Zs0a1jdCHzp0KNP6ai06Opp1C7J/HzRoEOsuAJIL0Pz8/LVr1zJt0aBBA9w/rTSZmZlnz55l3aVTp0516tRh3QVAcgG6b9++1NRUpi2cnZ2Z1ldrZP+ek5PDuourqyvrFgDlJBigK1asYN3CycmJdQv1dfToUdYtdHV1HR0dWXcBKCe1AL1y5cqlS5eYtrCwsGjevDnTFmqNhwC1t7evUqUK6y4A5aQWoGvWrGHdAstPGW7duvXgwQPWXXAFLvBGQgGakZHB7qlHH+HqGRlCQ0NZt6hdu7adnR3rLgAfSChAg4ODMzMzmbaoV68e9u8yHDhwgHUL3MAF+CShAGV98TzRr18/1i3U1+PHj69evcq0BYlOEqBMWwB8SioBGhsby8Mt0BGgMvCwf7e1tcX954FPUgnQHTt2sG5hZGT07bffsu6ivvbt28e6xYQJE1i3APiUJAK0qKho9+7drLv06NFDS0uLdRc19eTJE9YfQDI3N+/VqxfTFgCfkUSARkdHs/70UbniG4CybqG+QkJCCgsLmbYYP3480/oA/0sSARoUFMRDFwSoDHv27GFa39DQ0M3NjWkLgP8l/gDNz8/n4eqZZs2aVa9enXUXNfXw4cMLFy4wbeHu7l6xYkWmLQD+l/gDlOzf09LSWHfBw8tkIDuAoqIidvV1dHSmTJnCrj5AacQfoDwsP4lu3brx0EVNsb4EwtXVtVatWkxbAJRI/AF68OBB1i20tLQ6d+7Muouaunbt2u3bt9nV19DQmDZtGrv6ADKIPEAvX7785MkT1l1atmxpaGjIuouaYr387N+/v6WlJdMWAKUReYAeO3aMhy7ffPMND13UUV5eXnBwMLv6ZPnp7e3Nrj6AbCIP0IiICB664AEepTlw4MDz58/Z1XdwcMDdW0BAYg7Q9PT0P//8k4dGCNDSbNiwgV1xTU3N3377jV19gDKJOUCjo6Pz8/NZd6lRowaeX1aipKQkpg/gdHFxsbKyYlcfoExiDtDTp0/z0KV169Y8dFFHgYGB7C7/1NbWnj17NqPiAHISc4CeO3eOhy4tWrTgoYvaIWv/rVu3sqv/448/mpubs6sPIA/RBmh2dnZMTAwPjVq2bMlDF7UTGhr67NkzRsUrV67s4+PDqDiA/EQboJcvX87Ly+OhEVagJWL69tGvv/5qbGzMrj6AnEQboFeuXOGhS/ny5evVq8dDI/USHx9/4sQJRsXr1q07ceJERsUBFCLaAL1+/ToPXSwsLHjoonaWLFnCrnhAQICenh67+gDyE22AxsbG8tClUaNGPHRRL8+ePWP36aOePXs6ODgwKg6gKHEGaF5eHtMbWHyEFej/WrVqVU5ODovKurq6K1euZFFZTnZ2dsePH2faYt68eb/88gvTFsAhcQZoUlISP+8g1a9fn4cuaiQ7O3vt2rWMint6ejZs2JBRcXnEx8ezbtGsWTPWLYBDog1QfhrhIbqf2bZt28uXL1lUNjMzmzFjBovKckpPT3/8+DHrLghQ9SLOAE1OTuanUd26dflppBaKioqWLl3KorKGhkZgYKCBgQGL4nLiYflZpUqV2rVrs+4CHEKAKgVf7p/avXv33bt3WVQeNWpU165dWVSWHw8B2rRpU9YtgFviDNBHjx7x0KVSpUq6uro8NFILhYWFvr6+LCqTf6UWL17MorJCbGxs1qxZExMTc/369bi4uKysLM5bIEDVjjgDlN2HCD9lamrKQxd1ERQUlJCQwKLyhg0byL9VLCorpH79+mPGjPnwc/KvBfnDfghTIjY2lpPbnuIFULWDAKWHAP2IBIqfnx+LyuPGjbOzs2NRWRmampqNiw0ZMuTDrzx+/Pj6J5KTkynuRIUVqNoRZ4AyvQv6R3gO0kfbt2+/d+8e52UbNWrk7+/PeVkWahWzt7f/8J9WVlZ37txRqIKGhgYCVO2IM0Dfvn3LQ5cKFSrw0EX1FRQUzJkzh/OyOjo6QUFB+vr6nFdmLScnJzExUdGz6tWrV7FiRRbzADviDNDc3FweupQvX56HLqovMDCQxWUPc+fOVdNbBcbHx5N/VBQ9C8tPdSTCAM3OzuankbCXJaqIN2/esHgu5nfffefp6cl5WX7cvHmT4iy8g6SORBig/HyIEz7w9fV98eIFtzXJZnbbtm3c1uTTjRs3KM7CClQdiTBAtbV5+kOxe+CPukhMTFy1ahW3NXV1dffu3VulShVuy/KJLkCxAlVHIgxQ3i5uR4BOmTKF8/X+8uXL1f05fRRbeH19fTziSR2JMEC1tLQ0NTULCwtZN+LtxVbVFBkZGR4ezm3NsWPH/vjjj9zW5NmzYoqeZWVlRb5oWcwDTIkwQImKFSump6ez7pKRkcG6hcrKzc3l/LkaXbp0IctPbmvyDy+ASoo4A9TU1JSHAOXnalPV5Ovrq+iF4rLVq1cvJCSEt9ev2cELoJKi9l+vJapWrRoPtwR9/fo16xaq6fr164sWLeKwYJUqVcLCwsTxoE1cwyQp4gzQL774gocuT58+5aGLqikoKHB3d8/Pz+eqoK6ubmhoqJWVFVcFhYUtvKSIM0D5edLG8+fPCwsLpfbaP1l7xsTEcFVNQ0Nj27ZtnTt35qqgsMjXw61btxQ9q1oxFvMAa+IMUH6e9Ua+W1JTUyV1T+U7d+5we9NPEsfOzs4cFhTW3bt3KR6oh+Wn+kKAKoV8w0gnQEk0DB48mMMnbk6fPt3Dw4OraqoA7yBJjTgD9KuvvuKnEQlQa2trfnoJbvLkybGxsVxVmzBhAot7OAkLL4BKjTgD1NTUtF69eg8ePGDdiNtLeVTZvn371q1bx1U1Nzc3EVzy+b+wApUacQYo0b59ex4C9OrVq6xbqILk5ORRo0ZxVc3V1TUwMJCraiqF4homLS0t0VyBIEGiDdAOHTrs3r2bdZeYmBjRvxGfl5fn7OzM1QcTRowYsWnTJg0NDU6qqZSMjIyUlBRFz2rYsKE63jQaPhBtgPbs2ZOHLpmZmWTR0bx5cx56CcXd3Z2rhTZZxq5fv56TUioI+3cJEm2AWlhY1K9f//79+6wbRUVFiThAfXx8du7cyUmpn376aeXKlZyUUk10n0HCO0hqTbQBSvTu3Xv16tWsu5w4cWLKlCmsuwhix44dXF31ObsYJ6VUFlagEiTmAHV2duYhQE+fPp2dnS2+l7HIn4uTN440NTXJ/wV1v0mdPHANkwSJOUA7derEwy4+MzMzPDx84MCBTLvwLD4+fsCAAco/m09PTy8oKMjBwYGTqVRcXFycoqdUrFiRn48dAyNiDtByxVfM+Pn5se6yd+9eMQUoSU9ra2vl7zVlYmISGhrasWNHTqZScSkpKRQXKvD2iQ9gROQBSjah8+fP5/DWQSU6fPgwiRsjIyOmXfjxIT2fP3+uZJ3GjRuHhYVJZ3mFF0ClSeQBWrt2bbI23LNnD9Mu2dnZmzdvFsHHuskm1MbGRvn0tLW1JatyQ0NDTqZSC3gBVJpEHqDlih98xjpAibVr106ePFmtr6i/fv16z549lU9P8vewaNEiLS0tTqZSF7iPsjSJP0DbtGlDciEiIoJpl+Tk5O3bt48YMYJpF3YOHTr0/fffv3v3TpkiFSpUICtxR0dHrqZSI9jCS5P4A5SYP3/+8ePHWT+F2M/Pz9XVVR2f6hMQEODl5aXkc0wtLCx+//13aX6sOycnJzExUdGzateuXblyZRbzAG/U77udQosWLZydnVl/NP7+/fsfkohpF27l5+ePHTt206ZNStYZPHjwunXrKlWqxMlUaic+Pr6goEDRs7D8FAFJBGi54jufh4WFsX6OJlmEuri41K1bl2kXrqSkpAwdOvTs2bPKFCHb9pUrV6rvaxecwIc4JUsqAUq2S76+vqw/c5mZmUki6dSpU6r/btKOHTsmTJig5D2WWrZsSdb15ubmXE2lpvACqGRJJUCJn3/+OTg4+MqVK0y7kAXdzJkz582bx7SLMtLS0n788cd9+/YpU0RLS2vatGk+Pj46OjpcDaa+cA2TZEkoQMmqMCgoqFWrVqw38gsWLLC0tBw+fDjTLnRIbpJl+OPHj5Up0rhx423btrVu3ZqrqdQdxRZeV1e3UaNGLIYBPkkoQAmy2Vy9ejUP0TZq1CgjI6O+ffuybiS/a9euTZo0SclXPMnC08PDw9fXl3z/czWYuntWTNGzSHqq4wUb8BnJ/S/88LYJ60dK5OfnDxo0aOPGjcOGDWPaSB5Pnz6dPn06WTMqeSFXu3bt1q1bJ+Kbn9LB/l3KJBegBFmEJicnR0VFMe1CMtTNze327dtz5swR6mM5iYmJS5cuJdGZlZWlTJ3KlSvPmzdvzJgxonwUh5LwDpKUSTFAydYpJCSkU6dO8fHxTBuRFd/ChQvJgnfz5s08v1V95syZgICAw4cPK7nq1NTUHD58+Pz586tVq8bVbCKDa5ikTIoBWq54SXXixAlra2uyQmTd69y5c+S7xdPT08vLi/Wl5mRlvXfv3t27d9Mtiz7TrVu3JUuWYM8uG1agUibRACW++OKLkydP8pOhubm5ZAu8Zs2aCRMmkI1wjRo1uK2flJT0+++/k+jk6ulvjRo1IqvOfv36cVJNxAoLC2/duqXoWVWrVq1ZsyaLeYBn0g3QcsUZevr06f79+5NFIg/t0tLS/Pz85s6d2717dycnJ1tb29q1a9OVKigouH79+tmzZ88Ve/LkCVdDmpmZeXt7u7q64uVOedy9ezcnJ0fRs7B/Fw1JByhhbGwcFRU1YsQIHh4i/wFZsxwvVq74sqqvv/6a7JEtLCxq1apFViWGhob6+vq6urrZ2dnvPvH8+XOyPScrzY8/kgO4Haxu3brTp0//4YcfpHYnOmXgLXiJk3qAliu+pDk4OLhVq1YkPvLy8vhsnViMh9uVytasWbNp06Y5OzsjOhWFF0AlDgH6Dw8Pj65du7q4uJD1ndCz8MfGxsbT07Nnz55CD6KuVCdAjx49am9vz3nZj4YMGbJz50529dUUAvRfZBEaGxvr4+OzbNky1o9REpahoeHw4cPHjRtnaWkp9CzqjeIaJg0NDRbPkqO7mkp+eNmhRAjQ/yhfvvyiRYuGDh36008/KfmpR9XUvn17Nze377//nvxJhZ5F7WVkZKSkpCh6VoMGDVj85SNABYEALQH5Wjl9+nR4ePjMmTPJmlTocThQv359V1fXYcOGmZmZCT2LeKjUO0gIUEEgQEtlXyw0NHTJkiVquho1NzcfMGCAg4ND27ZthZ5FhFTnQXIFBQV37tzhvOxHhoaGderUYVdffSFAy9C/WExMzMqVK/fv3092bUJPVAZtbW2yT+/Zs2e/fv1YvNYGH6nOClRLS+vatWvhxc6fP8/VK/iVKlWysbHpXYyTguKDAJVLy5YtN2/evGbNGrIgDQ4OPnHiBOeXYSpDQ0OjSZMmnTt37tGjh7W1tWSfTcQz1XkLnrAqNnXq1PT09IiICJKkx44do7jPXrniz6F9CE3yFYV77smGvx0F6OvruxTLyso6efLkkSNHyI8JCQmCDGNqatq8efN27dp98803HTp0wPMd+RcXF6foKQYGBg0bNmQxzEdku+1YjPz88uXLH5alZH1a5m1latasOX36dHt7e3V5qJcqQIDSIN8GH14hJT9/9erVhQsXLl68GBsbGx8f/+DBAxbPTyZxaV6MrA7IEqZFixacf6AeFJKSkkLxRCmyUeDzM7JtipGmrq6usj8kUr9+fbKvIj/yNps4IECVVbVq1Y9hWq74uXJkTUq+ux4WS01NJQn7utibN29ycnLI13Fubm5+fr6mpqaOjg7ZIpEf9fT0yMKhSpUqlYuZmJiQfCQrAvJjrVq1GjRogF25qlGp/bsM27ZtGzlypOynLjdu3JikJ/5JpoAA5Vj58uVbFhN6EGBLdd5BkmHt2rXjx4+XvSVq1arVsWPHjI2NeZtKTBCgADRU5xqm0gQEBEydOlX2Md9++21YWBj2N9QQoAA0VHwF6uvr6+PjI/sYOzu733//XV9fn4+BRAoBCqCwnJycxMRERc+qXr26iYkJi3k+4+XltXjxYtnHDBo0KCgoSEdHh4d5RAwBCqCw+Ph42W/LlIif5ef48ePXrFkj+xg3N7fAwEBNTU0e5hE3BCiAwlTzBdCioiJ3d/etW7fKPmzixIlLly5lOol0IEABFKaCL4CSFbGrq2uZN+f29vYu87VRkB8CFEBhqnYRaG5urpOT06FDh2QfFhAQMHnyZEYzSBMCFEBhFFt4bW1tKysrFsNkZWX1798/MjJSxjGamprr168nG3wWA0gZAhRAMc+KKXqWubm5rq4u58O8ffvW3t7+zJkzMo7R0dHZsWMHWaJy3h0QoACKUZ39e1pamp2d3Z9//injGH19/ZCQENyPjhEEKIBiVOQdpOfPn/fo0UP2MJUqVTp8+HDnzp25bQ0fIUABFKMK1zA9efLExsZG9l3ojY2Njx492rp1aw77wmcQoACKEXwFmpKSQtIzOTlZxjE1atSIjIxk9LYVfIQABVBAYWHhrVu3FD3L0NCQq7sUJyYmkvR89OiRjGPq1at34sSJBg0acNIRZECAAijg7t27OTk5ip7F1cOp4uPju3fv/vfff8s4pnHjxmTtWbNmTU46gmwIUAAFCPgW/LVr13r27Pny5UsZx3z99dcRERG4uSdvEKAAChAqQM+fP29vb//mzRsZx3Tq1Ck8PBw39+QTAhRAAYK8gxQdHd23b993797JOIYsTn///XcDAwNlGoGiEKAACqC7hkmZAD1y5MigQYNkP0Z74MCBwcHBuLkn/xCgAPLKyMhISUlR9Kwvv/zS0NCQruP+/fuHDBki+4GaI0aM2LhxI27uKQgEKIC8eH4BdOfOnW5ubrLv3Pzzzz8vW7aMrj4oDwEKIC8+9+8bNmwYO3as7Adqzpw509fXl6I4cAUBCiAv3lagZFE5ZcoU2ccsXrzYw8ODYh7gEAIUQF78BOjcuXNnzZol4wBNTc1169aNHDmSYhjgFgIUQF5xcXGKnqKnp2dhYSH/8TNmzJg/f76MA3R0dLZv3+7s7KzoJMACAhRALikpKenp6Yqe1bhxYy0tLTkPnjRp0ooVK2QcoK+vv2/fPnt7e0XHAEYQoAByYXoJfVFR0Y8//rhx40YZx1SqVOnQoUNdunShGAMYQYACyIXdC6AFBQXDhw8PDg6WfZirqyvSU9UgQAHkwugapry8PBcXlwMHDpRZaufOnfPmzatcuTLFGMAIAhRALixWoNnZ2Q4ODseOHZOnVEZGxurVq6dPn04xBjCCAAUoW05OTmJioqJnmZiYVK9evbTffffu3XfffXfq1Cn5C65YsWLKlCn6+vqKTgKMIEAByhYfHy/7I5UlkrF/f/PmTa9evS5evKhQwWfPnm3evHncuHGKTgKMIEABysbtg+Revnxpa2sbExNDUTMgIGDMmDG4dYiKQIAClI3Da5iePn3avXt3igcrfXD//v09e/YMHjyY7nTgFgIUoGxcvYP08OFDGxube/fuKTPMwoULEaAqAgEKUDaKLTzZZTdp0uTTX0lKSiLp+ddffyk5DEnzo0eP9urVS8k6oDwEKEAZnhVT9CwzM7NPH7Bx+/ZtsnN/8uQJJyMtWLAAAaoKEKAAZVD+BdDr16/b2tq+ePGCq5HOnDlz8eLF9u3bc1UQ6CBAAcqg5Augly5dIqvFtLQ0LmcqV27+/PkHDx7ktiYoCgEKUAZlPsR5+vTpPn36vH37trTDKlSo8MUXXyQnJytaPyws7NatW1ZWVhSzAVcQoABloF6BRkREODg4ZGVllXZM1apVw8PDHz586OTkpGj9oqKiRYsWbd26lWI24AoCFECWwsJCims2ybqSxO7gwYNzc3NLO6ZWrVrHjx9v3Lhx27ZtzczMkpKSFO2ya9cuPz+/OnXqKHoicAUBCiDL3bt3c3JyFD2LLA+dnZ3z8/NLO8DS0pKk54fs09DQmDJlyk8//aRol7y8vICAADyVU0AIUABZ6PbvmZmZMn63devWR44cMTEx+fgrbm5us2fPpnibfuPGjd7e3lWrVqUYEpSHAAWQhS5AZbCxsQkNDSV7/E9/UV9ff/z48T4+PopWI0m9YsUKihOBEwhQAFm4DdBBgwYFBQXp6Oj872+RAF20aJHspWuJVq1aNW3atPLly3MxICgGAQogC901TCUaPXr02rVrNTQ0Svxdsg0nG/nVq1crWvbVq1cbNmyYNGmSsvOB4hCgAKXKyMhISUnhpNT06dPnzJkj+5gpU6asW7eO4sajS5cuJQtYbW18O/MNf+MApeJk/06WnEuWLJk4cWKZR9avX3/gwIF79+5VtMXDhw+DgoKGDx9ONSDQQ4AClEr5/TtZFW7ZsuX777+X8/ipU6dSBCixaNEiBCj/EKAApVJyBWpgYBASEqLQbZNatWrVrVu36OhoRXvdvn374MGD/fr1U/REUAYCFKBUygSokZHR4cOHO3bsqOiJZBFKEaDlim+0jADlGQIUoFRxcXF0J9asWTMiIuKzGyrLyc7OrmnTphSvHly8ePGPP/7o0qULRVOggwAFKFlKSkp6ejrFiQ0bNoyMjKxbty51a09PT7oXNBcsWIAA5RMCFKBkdPv3xo0bnzp1ytTUVJnWgwcPnjFjxqNHjxQ9kSx7Y2Njmzdvrkx3kB8CFKBkdAFKsk/J9CxX/N79pEmTyDqU4tyFCxcGBwcrOQDICQEKUDJl7qOsvNGjR/v5+b1580bRE/ft2zd37tz69etzMgbIhgAFKBlXjzKmU7FixTFjxpDlpKInFhQULF68eM2aNZyMAbIhQAFKkJOTk5iYqOhZJPU4XPpNnDhx6dKlMm7JXJqtW7f6+PhUq1aNq0mgNAhQgBLEx8dTfCb9q6++4nCG6tWru7q6bt68WdETs7Ozly1bNm/ePA6HgRIhQAFKQPcCKFf79488PT23bNlSVFSk6Ilr16799ddfK1WqxO088BkEKEAJlH8WPCcaNWrUp0+fw4cPK3rimzdvSIZOmzaN23ngMwhQgBII+w7Sp6ZOnUoRoATZxU+aNElXV5fzkeAjBChACYS9hulTnTp1at++/cWLFxU98enTp9u2bRs1ahTnI8FHCFCAzz0rpuhZtWvXrlKlCoNx3i9CBw4cSHHi4sWLR44cWdo98EF5CFCAz6nIC6Af9e/f39zcnOKyqnv37oWEhDg6OrKYCsohQAH+l+q8APoBWUJ6eHiMGTOG4tyFCxciQNlBgAJ8TnVeAP1o+PDh3t7eFC8sXLt2LTIyskePHiymAgQowOdUbQVK6OnpTZgwYdasWRTnLliwAAHKCAIU4D8KCwtv3bql6Fk6OjqNGjViMc9H48aNI1H47t07RU+Mjo6+cuVK69atWUwlcQhQgP+4e/duTk6OomeR9GT9VGEjIyN3d/cVK1ZQnEuSNyQkhPORAAEK8B+q9hb8pyZPnrxmzZr8/HxFTwwNDSX/MFhYWLCYSsoQoAD/oYIvgH5Ut25dR0fHXbt2KXpiYWHhokWLNm7cyGIqKUOAAvyHKq9AyxVfVE8RoMTOnTt9fX1r1qzJ+UhShgAF+A8VuQ9TaVq0aGFjYxMVFaXoibm5uUuWLPH392cxlWQhQAH+lZGRkZKSouhZRkZGtWrVYjFPiaZNm0YRoMSGDRtmzpzJ6POm0oQABfiXiu/fP+jRo0fz5s1jY2MVPfHt27erV6+eMWMGi6mkCQEK8C8V379/NHXqVFdXV4oTV6xY4eHhoa+vz/lI0oQABfiXWqxACWdn5+nTp//111+Knvj8+fNNmzb99NNPLKaSIAQowL9U+RqmT2lpaU0uRnFuQEDAmDFjSAXOp5IgBCjAv+Li4hQ9RUNDg9tnyclp5MiRvr6+r1+/VvTEBw8e7N69+/vvv2cxldQgQAH+kZKSkp6eruhZ9evXr1ChAot5ZCNNx44dS/fozUWLFiFAOYEABfiHurwA+tGECRPIfpzik/s3b94MDw+3t7dnMZWkIEAB/qEuL4B+9MUXXwwdOpTuA5oLFixAgCoPAQrwDxW8j3KZPD09N23aRPHg+HPnzjVo0KBbt25du3YlP9auXZvBdOKHAAX4h9qtQAkLC4u+ffsePHiQ4twHDx5sKUZ+/mmY4vPy8kOAAryXk5ND8dQ2AwODhg0bsphHftOmTaML0E8lFyOLWfJzc3NzkqSOjo7du3fnYkAxQ4ACvBcfH19QUKDoWVZWVpqamizmkV+HDh06dux4/vx5rgomFtPW1kaAlgkBCvCeOr4A+hFZhPbv35/bmk2aNOG2oCghQAHeU8cXQD/q27evpaVlQkIChzXJ4prDamKFAAV4T+0uAv2Mp6fnqFGjOCyIAJUHAhTgPXW5D1Nphg4dOmvWrKdPn3JSrWrVqtWqVeOklLghQAHe4yp6hKKrq5uamir0FJKDAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCghAAFAKCEAAUAoIQABQCg9H8zhuRuE8Xq7AAAAABJRU5ErkJggg==)
Достарыңызбен бөлісу: |