Chemistry-
General
Easy
Question
Change in entropy is negative for–
- Bromine(l)→Bromine(g)
- C(s)+H2O(g)→CO(g)+H2(g)
- N2(g,10atm) →N2(g,1atm)
- Fe(at400K) →Fe(at300K)
The correct answer is: Fe(at400K) →Fe(at300K)
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The enthalpychange(DH) forthereaction,N2(g) +3H2(g) 3/4 →2NH3(g)is–92.38KJat 298K.TheinternalenergychangeDUat298Kis-
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For which one of the following equations is D H reaction equal to DH° for the product-
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When a die is rolled twice, if the event of getting an even number is denoted by a success and the number of successes as a random variable, then distribution and mean of the variate are
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Enthalpy of CH4+
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Change in enthalpy for reaction 2H2O2(l) → 2H2O(l)+O2(g) If heat of formation of H2O2 (l) and H2O (l)are– 188&–286KJ/mol respectively
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2Zn+O2 3/2 →2ZnODG°=–616J 2Zn+S2→2ZnSDG°=–293J S2+2O2 3/4 →2SO2DG°=–408J DG°forthefollowingreactionis-2ZnS+3O2 3/4 →2ZnO+2SO
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A random variable has the following distribution.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1718495/1/911011/Picture4.png)
Then for the values, A = K, B = Mean, C = Variance, the ascending order is
A random variable has the following distribution.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1718495/1/911011/Picture4.png)
Then for the values, A = K, B = Mean, C = Variance, the ascending order is
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The heat of combustion of ethanolina bomb calorimeteris–670.48Kcalmol–1at25°C.Whatis DE at 25°C for the reaction?
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A random variable X has the following distribution
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714932/1/910911/Picture3.png)
The value of
and P(X<3) are equal to
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714932/1/910911/Picture3.png)
The value of
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If m and 2 s are the mean and variance of the random variable X, whose distribution is given by
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429132/1/910822/Picture6.png)
If m and 2 s are the mean and variance of the random variable X, whose distribution is given by
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429132/1/910822/Picture6.png)
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1720882/1/910821/Picture5.png)
The value of k is
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1720882/1/910821/Picture5.png)
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The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,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)
The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjcAAAFyCAYAAAAJVfvsAAAgAElEQVR4nO3d2XMb2Xk28Kf3DftGgKuoZSSPHI/tKqdylVQuUrnMf5wbXySpmriU8XhmtFEUSREEAQLE3uj1u5jvtEFxE2e4ofn8qliyhhDZNBvdT5/znvdIcRzHICIiIkoJ+a4PgIiIiOg6MdwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqjDcEBERUaow3BAREVGqMNwQERFRqqiXvSCOY4jtpyRJgiRJN35QREREdP+JjPBLt6mUJAmyfP3jLBeGmyAIcHh4iP39fYxGIxQKBayvr6NUKl37gRAREdHiOD4+xs7ODprNJvr9PjzPS4LOZQMhnudBVVW8ePECv//972EYxrUe24XhxnVd7O3t4dtvv8Xh4SE2NjZg2zbDzQMi0viXnKyfv4ajfERE6dXr9fDq1Sv85S9/we7uLsbjcfK5y67/4/EYhmHgP/7jP/D111/fTriJ4xhBEMB1XYxGIxwfH6Pb7SKfz2M4HMLzPGia9kU/AC2uOI4xm83geR6iKPqi37Usy5BlGZqmQVXVGxluJCKiu+d5HgaDAVqtFprNJlzXhaIokGX50vvFaDSCYRiYTCa/eErrImeGmzAMMZ1OMRqNMJ1OEccxZFlGFEUYjUYYDAbIZrNQVRWKolz7QdH9EEUR+v0++v0+wjC88GQVozaqqsI0TTiOA8dxoOv6LR4xERHdliiKEIYhoiiCoiiwbRumaULTtEvDjWEYMAwDjuPcyCDJmeHG930Mh0N0Op3kxibLMmazGTqdDlqtFmRZRjabZbhJsTAM0el0sLOzgyAILhyFEQHYMAzk83lUq1Xous5wQ0SUUmEYwnVduK4LADBNE4VCAZZlQZblC0dkbNtOws2tFRQHQYDj42Ps7u6i3W5DkiRkMhlEUYRmswnLsmDbNjKZzLUfEN0fQRBgb28P3333HXzfvzCNi+RuWRaWl5ehaRpyuVxykhNROs2vlvmS6QWxOoYlDYsvCALMZjP4vg9VVVGtVrGyspIMfFw04u+6LjRNQ7VavZtw0+l0kMlkkMlkMJlMsL+/D0mS0Gg0sLy8fO0HRPdHEATY2dnBq1evEAQBLMuCoihnnqxRFEGWZTiOgyAIUCqVUKvVknROROkUxzF834fv+xfezMTorqqq0DTt3GsJLQ4xLQUAmUwGq6urePHiBQqFAlRVRRiG5wbeIAigKAqWl5dvZAbo3GmpwWCAdruN0WiEYrGIbDaL6XSKbrcLRVEwHA4RRdG1HxDdH0EQoNVq4d27d4jjGPl8/twi4flwk81mcXx8jNFoBMdxoGkaR2+IUiqKIsxmM0wmE/i+f+7r4jhORnfFwgOGm8UmRusURUEul0Oj0cDm5ibK5TI0Tbsw3Ihyl3K5fHvhJggCTCaTZGWUoigwTROSJGE0GkFVVUyn0ySxUTqFYYh+v4/Dw0MYhgHbts992hINHuM4huu6OD4+xtHRESzLSgrHiCh9wjDEaDRCp9PBZDI5N7REUQRd15HP55PXfEnhKd1v4vfoOA5KpRLq9Tqq1WoSbs4jVuCapnl701JhGMLzPLium9RS6LoOSZLgui4mk0nSrIfSS6yOm0wmsG0bxWIR+Xz+zCJhsVpK0zRomoZut4u9vT3ouo5MJsNwQ5RSvu/j6OgI7969w/HxMXRdh6qqJ0JLHMcIwxCWZaFeryfLhWVZ5vTUAhPXfUVRkuLgXC6HQqEARVG+uAbr1lZLAX+fSxMHL5LV/NIvSjcxly7LMpaWlvCb3/wGS0tLsG37xGsAJKM2YRhiOByi3+/j/fv3UFUVtVoNhULhrn4MIrpBnueh2Wzi1atXODg4gOM4yUi/IHqnidpNsZJSjNxw1e3iE0FVPODetXPDzedpav4mNv8npVccx4iiCKZpYnV1Fb/73e+wvr6ObDZ74jXAzye2GJ5+8+YNfvrpJ7TbbTiOgxcvXtzVj0BEN0g0+jw4OMBf//pX7O7uolarIZvNnphqEA9K2WwWuq6jUCjAcRwYhsH6m5SY72b/JR3tb9qlG2ee5a4Pmm6HCDeapqFcLmN9fR1PnjxBPp8/8Rrg53MiDEMcHR3h4OAAnueh2+2i2+0mPRCIKH1830ev18Pu7i4ODg6QyWRg23Zyn5ifmgiCAP1+H61WKxnhYT+s9JhvCXDXOeHMcDN/Up73wR3CHw5ZlqHrOmzbhuM4J6alPjeZTKBpWvKkJrZuIKJ0EqulPM+DZVlYW1vDo0ePkimn+a1bwjBEGIZoNpuQZRmWZSGXy8FxnDv+KejXEuUr4uOunRtuzkrdnzdpYrh5WL5ka/qzzgkWnhOl0/w9QTTu/O1vf4uXL18mdTdiya+qquj1evjpp5/QbDbheR4KhQJWV1fvxZM+XY/78ns8FW6CIIDv+8nadUVRoKoqVFVNhg/FPlOe58EwDFa7PwBiiuqypX1RFJ2YquII38MhbnRiwcHnw9OirkKslKH0kCQJhmGgWq3iq6++wjfffJOEGzFyo2kaWq0WWq0Wtra24Hke2u120nJE3Fto8URRBN/3k9XUk8kkWS112cOtyBfXfZ84EW48z0tqJqbTKRzHgWVZKBaLKBQKqFarqNfrCIIAg8EABwcHCMMQ+Xz+XlRH0826LKgwyDxscRxjMpmg2+3i+PgYnuclT+2iV5ZYJnpTm+XR7RM3L/E7LhQKqFQqME0z+by4NkRRhHq9jmKxiOl0isFggGazCcdxUC6XT9Tq0P0n9o/yfT/Z1aBYLOLw8BCqqp542P2cuDbUajWsrq5CVX9RCfC5Tny14XCIt2/f4vXr1zg6OkK1Wk3mT4vFInRdx2w2w97eXtLD5Pnz58mSPkonMR0lRvIuep14KhcjPRed3JQ+x8fH+L//+z/8+OOPGAwGyYarmqahVqvh2bNn+Prrr1ljkVJi+mn+SXw+rGQyGWxubmI4HKLZbGIymeCnn35CFEV48eIFDMO49psc3Rwx0iZ2L5jNZvj06RMcx7l05MZ1Xei6jn/6p3/C0tLSzYabfr+PN2/e4K9//Ss0TcNvfvMbvHjxAqurq0lbfUmSMJlM8PbtW4xGI2QyGdTrdeRyuWs9MLo/xFSD53lJ0eBZxNCk2F9GBCIONaefeHrrdDr4/vvv8ec//xmdTicJN7qu49GjRwjDEEtLS6hWq2zsmELzDzVn0TQN6+vrkGUZpmni1atX+OmnnwAAtVoNlUqF4WaBiOAq2gE0m028ffs2WeJ/0YPtaDRKRvr+9V//9dz7yi914ixyXRftdhutVgvlchmO46BaraJUKkFVVRiGgdFoBNu2MRwOMZ1O0ev14HnetR4U3R+yLCfTkIeHh3AcB6PRKPn8fJ+bKIpwfHyczLfmcjnkcjku80y5KIrgui76/T7a7Tba7TZ6vR6Oj4+ToKvrOrrdLtrtNg4PD7G0tMQbWUpd9LQuSRLy+TzCMMTBwUESiMXWDdzSZzGJGlzxcCvqpy4KN8PhEKZpYjqd3sjo/okri+giGQQBgJ9TtmEYyZSTpmkwTTOZS/N9H0EQcNohpcTIy3Q6xYcPH/A///M/2N7evrBDsdh0NZ/Po16vn+qLQ+kjNljd2tpKulJ//fXXmM1myWvEst8gCPDu3TsoioKXL19iaWnpDo+c7oIYyZuv1/A8L7nv0OIQ139d11GpVJDJZFCtVmFZFhRFubANyGQygWEYePTo0e1snHnR0u/PP0/pJsLNZDLB69ev4XkeHMc5MRIz35VSlmUYhoF6vY6vvvoKT58+Teq1KL0mkwl2dnbwv//7v2i1WqhUKvjmm2+S3Z+Bn4sHxX5jb968wXg8Ri6XY7h5oD5vKcIi4sUkfo+maWJtbQ3Pnz/HixcvkM/nLy0oDoIAiqLgyZMnNzK6n4SbMAyTLevDMITv+5hOpxgOh3AcB5qmIQiCZDrK930oipJssOn7PouKU0iWZfi+j8PDQ/i+D1VVT6RsMWIjNljN5XLJBmqrq6uo1+sXNv2jxRaGYbJycnt7G5PJBE+fPsUf/vAH1Gq1JNx4noe3b9+i1+sly4CfP38O13Vhmib7nDww8w/ObBmxuMTIjGmaqFQq+Prrr/GP//iPqFarlxYUi/e8aZo3kh1U8U2Ojo6wt7eHo6MjDIdDaJqGZrOJDx8+JHNjruui2Wyi1WphMBhAURR0Oh00m81k+R83QEsfsdolm80mfY0+F0URZFlO9o7xfR+TyQSu6ybhmNIlDEMcHx+j2Wzi+PgYAJDNZlEqlVAul1GpVJLXBkGAXq+HcrmMbDaLKIrQbrfx6dMn1Ot1rrgkWkDzu4Kbpnni/X/XC0lU4OdC4q2tLfzwww/Y3d1Fp9OB53l48+YN4jhGPp9PloF3u128f/8enU4Hsixje3s7mWtzHAeZTOZOfyC6PmKVlK7rqNVq+Oqrr84sEJ5P5pqmIZ/PYzweY2dnB6qqJhXxlC6u62J3dxfv3r1Dv99HPp9HuVxGvV4/tfJBVVXkcjmsrq6i0+mg2+3i8PAQP/74IwCg0Wgw3BAtqM/bhdx1sAH+f7iZTCZ48+YNvv/+e+zt7aHf7yMIAnz48AHj8Ri2bUNVVQRBgPF4jP39ffT7fcRxjA8fPiQNmNbX1xluUkSEG8MwsL6+jj/+8Y9YWlpKppk+nzcXReaDwQCDwQDv3r2DJEmoVCoMNyk0nU6xvb2Nt2/fIggCVKtVPHnyBI1G49QqqCiKYNs2VldXMZ1OsbW1hXa7jTdv3iQNQoloMc13sA+CIBnJv0vJyM3e3h4+fvyIwWCQHOxkMkG73Yau61AUJel1Mp1OAfw81Cyms9rt9onVEbT4xAkrKuE3NzdPBdj5peBhGGI8HuP9+/dot9vodrsoFArJ+ULp4nkeWq0W9vb2kMlksLGxgUajgWKxeGoURpIkWJaFarWKyWSCfr+Pg4MDdLtdjEYjLlQgomulAn+fD+/1eoiiKJleMk0zqa+Yb7Ft2zbiOMZ4PE7aLotupJQuYo+xbDaLarWKRqNxomHj5+Gm1+thf38fnueh3+9jOBzC9/27Ony6QaKYuNfrQdf1ZPpRdCf9nKZpyGQyKJfLKJVKME0TYRgy2BDRtUvCjeu6iKIIuVwOtVoNxWIx6WkjKtlF5bPv+xiPxzg6OkoaL81mM97EUmY+uOi6noTebDZ74jVivjUIAnieB03TEMdx0tGYjbnSKYoizGaz5NohGn1qmnbmyhdFUZLzqFgsolqtwvd92LZ950PYRJQuKgCMx2N4ngfTNJPGa7Va7dxNzMT0w+7uLvb395Mb2WQyuRdzbXR9RHjRNA2WZcG27VNN/ET4DcMQo9EIqqomDSE9z7uwkRMtLtGVVPyOVVWFrutn7vAr/i5GfkulEtbW1uD7PvL5PK8ZRHSt1CAIkmWc5XIZjx49wosXL7CysnKqcFRcoMSUlGVZiKIIo9EIURSh1+thPB4jk8mwZ0GKfF4Jf9Fyf26c+XB8/jsW58llO8fruo5isYiNjQ0EQYBiscgWEkQpcV96FqmtVgvtdhuapmF1dRWbm5t48uQJlpeXLw03YvVUu90GABweHuLw8PDGmvLQ3brspD3r8ww26fZ5k64vuagpigLHcbC0tJTU+DHcEC2++xBqBPXNmzf4+PEjHMfB8vIynj9/jo2NjWR/CODscCO6GYtdosXyzmKxiKWlJYabFLqo2+R5n79PJztdv88D7ZeEWbHPlKZpiKIImqYx3BAtONE6RCwHF+UJl10TLhvt/aXU169fY3t7G7VaDS9evMDjx4+xtLSUdKM9j6ZpWFlZSVZIvX79Gu/fv0ehUMAf//hH9rshojOJi9l8LxyGYKLFM7/QSLSKcV0X0+kUuq5fuBpyvp5T1/Vrvwao29vb2Nvbw9raGjY2NlCv15Ngc9E3MwwDhUIBs9kMw+EQr1+/xt7eHqrVKvvdpNCX7P9y1lM8p6XoLAwzDxuvE+kxH2ym0ynG4zFM07w03IjFR2J7nmsPN51OB8fHx9A0DaVSCZlM5ou+kdgBWiwNliQJx8fH6Ha77HeTQpcVCIsOxfMro0SBKRHRPO4Knh6yLCOKIriui36/j06ngzAML90VPAxDyLKMarUKx3Gu/bjUyWSC2WwGXdeRy+VgWdYX3ZDmlwc7jgNVVeG6btLzgtJBDDuKZd3iQ/i8z43YVV5MO6iqyoBDRCeIFv2fXycYchbL/F5Ss9kMnU4Hu7u7ycbaF2UB3/eTf1ur1a697k5VFCXpT6Hr+pVuROLEFDv6ntXfghaf2DPKdV1MJpMTxeKfhxvXdREEQXJuaJrGcENECdEfaf4hiEXli0k05pRlGePxGHt7e4jjGLZtXxpuZrMZNE2DYRj46quvrv3Y1Gw2i0KhANM0f1EwEdud27aNQqGATCbDkzQlxHBxFEWYTqdnTjt+vv1Cv9/HbDaDoiiwLCvpck1EFMcxXNfFeDzGbDZLVs6JGg0+CC0WMXtjmiZGoxE6nU4yEyT6nZ1nMplA13VsbGzcyGyPurS0hDiOT7TUv4r5plyrq6tYWlrizSxFJElCEATo9/toNpuQZTlZCXfWruDT6RSj0QiGYaBcLqNYLELX9bs6fCK6R6IowmAwwNHREYbDIVRVRaFQQKFQuJEVM3SzdF1HoVBApVKB53nJNkxiyvGicDOdTpNC5JsoKFefPn2a7PPyS0ZcRPJeXl7Gy5cv0Wg0LlxCTotDjNy4rov9/X388MMPODw8PNX/SJhfEij2D1peXr6RYjEiun/ENeO8EZggCNBut7G9vY3Dw0NomoZqtYp6vQ7HcThys2Bs20aj0cCzZ89QKBTgum5SqnAZ13WT3/9N/N7Vr7/+GsPhEI1G4xeNuIhuoxsbG9A0Dfl8HqZpXvuB0u0TF6nJZILt7W0AgOM4yUjMfLgRJ7RlWWg0Gnj+/DkeP36M9fX1E7uIE1E6zQeb825WYRji4OAA7969w/HxMcrlMjY2NrC+vo58Ps+ShgVj2zbW1tZgGAZGo9GVRmFEQfHm5uaNzPaom5ubmM1mSQHQVYnaikajgUKhkBQI0eITy/0VRcFgMMDu7u6Zq5/EiI0syygUCsjlcshms1hdXUWj0UhGeoiAv58v853PuRx48UVRhCAIMJvNMJ1OTz3kyrKM0WiEw8NDNJtN+L6PtbU1LC8vc+RmQYl7f7FYTFbAfSkxdZXNZm8m3ORyuRMrXq5KVLtns9lkw0xepNJBURRUq1Wsr68nF6vz9o+KogiKoiCTySCfz6NYLKJUKiGbzfKCRSeEYYjJZJJsuJvJZJDJZFirt6DE9UDU5n369AlbW1tJuJnvRNtut9HtdpM9xeavE9yyZ/HM3/t/ad3MRSN9v4Z6HV+UgSaddF3Hy5cv8e///u9wXReKopxbJCbCTTabxePHj7GyssInsZQToVZ0IRUrJy8TBAFarRZev34N13Xx9OlTPHv2jOFmgUVRhPF4jF6vhz//+c/49OlTMoIvnuZlWYbneZhMJqjVamg0Gtjc3EQul2OwWVD3+d7PqwmdyzAMfPPNN6hWq0nvmvOIaSnDMJDL5VAqlTg9mXJitHc+9IZheOm/c10Xnz59wrfffntiOSgLzxePuLkpioIwDLG3t4f/+q//wuvXr5OwKqYgfd9HLpfDV199hT/84Q/JJs3ch5BuAsMNnUtVVaytraFeryfzo+eZn9oUNzw+iaebWEwgppRmsxnG4zFc1z3Vs2T+Btfr9XB4eIj9/X14nofxeMyu5gtKlCXYto1cLgdFUdDr9TCdTk9cL0R7/nq9jhcvXqBer2N9fR3VapXNX+lG8O5D55IkCYZhcASGzmTbNjY3N9Hr9SBJEjqdDt6+fQtZls9sCTGZTNBqtfD27Vvs7+/Dtm0sLy8nNzhaTKZpYmVlBX/4wx+Qz+eh6/qp6ckoijCbzVCtVvHkyRMsLS0hk8mwBxbdGF5RiOgXcRwH//AP/wBFUfDx40c0m81ke45CoXAi3MRxjF6vhx9//BGvXr3CYDDA6uoqfve73+Hp06e8yS0w0zTx9OlT/Nu//Ru63e6Ze0SJ/ekymQw2NjZQr9fZMoRuFMMNEf0ipmni0aNHkCQJk8kE79+/R6fTwfLyMp4+fQrTNJOpKc/z0G63sbW1hffv38M0Tfzxj39MnvbZ32RxmaaJtbU1lEol+L5/7orKOI6hqiosy4JlWSwiphvFcENEv4gsy3AcB9VqFcViEbZt4/j4GL1eD3t7exiPx9A0LdkocX9/H/1+H3Ecw3EcVCoVlMtlrqhbcPPLgb+ECD6ss6GbxHBDRL+KZVlJPyRVVTEcDvH999+fGLkJwxDHx8dwXReVSiUpJmWwSYf7vCSYHiaGGyL6VRRFQaVSwVdffQVVVdFsNvG3v/3tRP8bsarGcRw8evQIT58+RblcvutDJ6KUYrghol9FFBCvra1hOp2i2Wzi4OAg6UAsyzJUVUWxWESxWESj0cDa2hry+fxdHzoRpRTDDRH9KoqiwLZtlMtllMtlWJaVrI6Z748ktueoVCoolUrcc4yIbgzDDRH9KpIkQdd1OI6DfD6PcrmMarUKXdcRhmGyr1C5XEapVEI+n4fjOOxtQ0Q35sKri1i+J+bORfdZFgES0TxVVaHrOvL5PFZWVjCdTjEajZJtO0S4aTQayOfzbAyZcmEYIoqi5L4htuigh0NkBzF6qyjKrWaHS8PNbDaD67oIggCapsG2bTbcIqITRMFwNpvF6uoqNE3DdDpNRm7E5yqVCrLZLEdtUkws/Z9OpwiCALquc9f3BygIAkwmE3ieB0VRYFkWTNO8tZB74dkWhiGm0yn6/T5c14Vt28kTGhHRPFmWYVkWarUaLMuC7/vJU5vYVDWTycCyLI7+plgYhphMJskeU9lsFoZhMNw8IHEcw/M8DAYDDIdD6LqOcrkMTdNu7Ty4dORmNBphf38fw+EQpVIJtm1zF1ciOkXU3uTzedi2nUxLiKXgsixD0zQ+HKVcGIYYDAb49OkT+v0+lpaWWED+ALmui3a7jYODA9i2nTzc3JYLw00URRgMBtjZ2UGn08HKygqWlpZu69iIaIGI6SdFURDH8ZmfF3+y/iK9giBAr9fD9vY22u02oijCkydP7vqw6Ja5rptslJvP5289O1wabkajEZrNJprNJlRVxXQ6va1jI6IFw+BCQRCg3+9jb28P+/v7yGaz8Dzvrg+LbtlsNkO73cbHjx9RKpXw29/+9syHnptyabiZTqfo9XrodDool8s8SYmI6FyiVrPb7aLVauH4+BhBENz1YdEtEzU37XYbADCdThFF0a19/0trbjzPw2g0Qr/fx3g85klKAJDUU4iaClmW+cRORIiiCLPZDMPhEMfHx7xvPFBitVS/34dpmvA87/6M3MRxjCiK4Ps+PM9LVj8QhWGYdKBVFAWapkFRlLs+LCK6Y2fdN27zpkb3g+hSPpvN4Hle8kB8W7g2j65MnLSTyQRBEMAwjKRRFxERwwwBd3sefFG4EUWCnHYg4OdhZ9d1cXR0BM/zkMvl2P+IiBLz9wzeNx6uuzwHOHJDVxbHMYbDIfb29jAej9FoNGBZFvsfERHRvcBwQ1cWRRGOj4/x7t079Ho9BEGASqWCarV614dGREQE9kCnK4uiCP1+H9vb23j79i2azSb7HxER0b3BcENXJvofHR0dod1uo9/vs/8RERHdGww3dGViK3vP8+B5HoIg4OoIIiK6Nxhu6BfjSggiIrqPGG7oF+FSTyIiuq+uFG54IyPgdO8CnhdEJPD6QPfhwffK4UaWOdjz0M3vIyVOYJ4XRATw+kA/u+v9Br+4z838PhFhGCb/jR6e2WwG3/cRhiGiKErOiyAIIEkSzwuiB+ys64PYW4h7E6afJEnJ5ql3uWHqpeFGJO8wDDEajdBut9FsNqEoCpf/PjCKoiCKIkwmE3S7XUynU7ium2xr/+nTJ2iaBt/37/pQiegWiSd0WZbRbreT64PneRiNRmi1WsjlcskmmnwASi9N0+B5Hg4PDzEcDpOH3tsexfmicAMAruvi4OAAP/zwA+I4hizLDDcPjCzLiOMYruvi7du36HQ6OD4+xv7+Pn744QdMp1OGG0p8fjHjDS295qehjo+PsbW1hU6ng+FwiGazie+//x6DwYDh5gEQ4ebjx4/Y39+H67p3MkV1abgRB+W6Lj59+oRXr16h2+0mozn0cIiT0/M87O3todVqYTweY3d3F6qq4uDgAIqi8LwgeoDE9WEymWBvbw+Hh4cYDAb49OkT/vKXv2BnZwdhGDLYpJyiKAiCAK1WCzs7O5hOp/cz3Mzf0EajEWRZxnQ6TebV6OEQ9TRBEKDb7WIwGGA2m6HT6UBRFPT7fciyzPOCkvNEnAuyLEOWZSiKcsdHRjfN8zwcHR1hMBhgOp2i2+3iw4cP6HQ6HLV5AGRZRhiG6PV6yUDIvZyWEsTFyvM8uK7LcPMAzYcbz/NOFQyK4UeeFw+bJEnwfT+pyZIkCZqmwTRN6LqeTG9SOnmeB9/3EUXRiYUomqYx3DwAItyIwnJN0+5k1dSl4UaciLIswzRNZLNZFAoFTks9QCLc+L4Pz/NgGAbiOIZpmshkMsjn85yWeuDEst/JZHJiBZ1hGDBNE47j8CaXUvP1mb7vYzAYJNeJXC6HXC6XBB5KLzEtFYYhXNe9s9/3F4cbTdNgGAbW1tawsbHBcPMAiXDjeR50XcdwOIQsyyiXy1hbW0O9Xme4eeAkSYKiKOj1egB+vtEBQKFQwOrqKgqFQhKKeZNLFxFuRqMRVFXFaDRCEAQolUrY2NhApVJhuHkARLg5ODhAFEUYDAZ38nv/onATxzF0XUehUMDTp0/x/PnzZOiZHg4xnTCbzSDLMlqtFuI4Rq1Ww9OnT7G+vs7VUg+coihQFAWtVguz2Qy9Xg9RFKFareLZs2eo1WpJuOH0ZXrM11T0+33EcYxOp4PZbDvNfaoAABmfSURBVIZKpYJnz55hdXU12WSXASe9xGqpTCaTjODe23ADALquo1Qq4dGjR3jx4gUURcFsNrvxA6T7Q/S5mU6nGI/H+Omnn+D7PiqVCjY2NvD8+XMYhsHz4gFTVRWqqiKTyeDw8BB7e3uIogi1Wg2bm5tYXV2FaZp8gk+Z+aXgopj4w4cPGA6HKJfLePLkCZ48eQLP8xhuUs4wDLiuC0VR0Gw2cXBwcCe/8y8uKNY0DZlMBktLS1hdXYUkSexz88DMN/Hb3d2F4zgYjUbI5XJYWlrCysoKdF3nefGAqaoKRVHg+z6KxSIymQziOEahUMDS0hKWl5dhWRZHblJmPtzouo5yuQzHcWAYBrLZLOr1OpaXl9nn5gHQdR2z2QzD4RDZbPbOauy+eFpKlmVYloV8Po9CoQAAvDg9MKLmRhSWG4YBXddh2zby+TzK5TJXSz1woqC4WCwmNzcAcBwHuVwOpVIJpmkCYFO/NJIkCUEQJNcHTdOS+0Y+n+eI3QMgVksVCgXYtn1nqyO/eORGkiSoqgpN05JeFexZ8TDpug5VVZPeJbIsQ9M0aJoGgOcF/f0cmb9WiEUJqvrFlx1aQJqmJdcHEXY1TUuuFZR+iqJA13UoinJnm2fyKkNXxicvuow4Rz4/V3juED0Md/1ev1KM5lwpCWLJr3ga43lB8z6/Voi/8zx5GMT1QVwj6GG5D+93nnV0ZeLCpet6Mq/OCxgRASevD6Zp8vpAd4JnHF2ZqL+yLAu2bcMwDNbZEBGAv18fTNNMrg8MN3TbWHNDv4hhGCgUCsnKCFFMTEQPm9iqp1gsYjweI5fLsYicbh3POLoyWZaRyWSwvLwM27ZRqVSS5b1E9LCpqopcLofl5WWoqoparcaHH7p1DDd0ZbIsJ1txTCYT1Go1OI5z14dFRPeAqqqoVCp4+vQparUa6vV60u+I6LYw3NCVybKMfD6Pzc1NBEEA27Zh2/ZdHxYR3QOapqFUKkFVVXieB9u2ObJLt47hhq5MkqSkUFB0r2ZBMREBPzdwcxwHpmny+kB35ou3X7jrNet0f8z3sCAimsfrA90HX7w+77yOo0RERET3yYXhRiRwsSfM/L5SRERERPfRhdNSYifwUqmE6XSKYrEIXddv69iIiIhogd3VbM+F4UZRFOTzeWxsbMC2bayurnLJLxEREV0ojmNEUXTiz9t06chNsVjE48ePUalUUC6XkclkbuvYiIiIaAHNF5bfxQaql4abbDaL5eVllMtl2LYNy7Ju69iIiIhoAamqCtu2kc/nkcvloOv6rQacS8ON2CMkCAJomsY22kRERHQh0zRRq9WwubmZzPrcm3AjSVISZqIogqIo3ACNiIiILiTqdMMwRCaTQaFQuF/hRlEUSJKEOI4hSRK3riciIqIL2baN5eVlGIYB0zSRy+UgSdKtff9Lh2FEwCEiIiK6jJj1KRQK0HUdqqrCsqz7FW6IiIiIrkIEGk3TIMsyNE1juCEiIqLFJQKNKG257RkghhsiIiK6VrIsnxipuc1RG4DhhoiIiG7AbQeaeVz6RERERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpot71ARARfYkgCBAEAcIwRBiGiOMYcRxDkqQzXy8+J8sydF2HruvnvpaI0oXhhojuvTiO4bouOp0Ojo6OMBgM4Pv+F4Ub0zSxtraGtbU1qCoveUQPAd/pRHTvxXGM8XiMra0tfPfdd9je3obruoii6MxwI0Z1AKBUKuFf/uVf0Gg0GG6IHgi+04loIYzHY3z8+BHffvstvv/+e7iuCwBQFOXUa0W4ieMY9Xodjx8/RhiGt33IRHRHGG6I6N6L4xiz2Qz9fh+dTge9Xg+SJMGyLKiqCkmSkpEa8XrxoaoqZJlrJ4geEoYbIloIYRgiCAIAQLlcRqPRQKPRQDabhSzLp0ZmRNgpFot49OgRp6SIHhC+24loYYjRmvX1dfzpT3/Cy5cvUS6Xzw03kiTBMAzW2xA9MHy3E9HCkCQJmqYhm83i8ePH+N3vfodarQZZlhFF0Zn/RpZlTk0RPTAMN0S0UETAsW0b2WwWmUzmrg+JiO4ZPsoQ0cJiUz4iOgvDDREtnDiOEUURl3cT0ZkYbojo2p03onLdIy0cuSGis7DmhoiunSRJyYf4uyzL1xZGrvvrEVG6MNwQ0ZXNb28wT4SNIAgQRVGygklMIQVBAFVVz/y381/jstAy//XEFgyff835YEVEDwvDDRFdSRRFmM1mmM1mpzauVBQFiqJgNBphOp3C930AwGw2w2g0OrHh5VlhRJIkqKoKXdfP7UsTxzF838dkMsFoNIJt26f63Iivo6oqNE3jMnCiB4bhhoiuJAxD9Pt9dLtdhGF4Ym8nESharRb6/T7G4zHiOE62TbAsC6ZpJgXB8yRJgqIocBwHhULh3HAThiGm0yl6vR4ODg4QBAEURUm6FwM/hyzLspDJZJDL5RhuiB4YhhsiuhLf99Fut/Hx40d4ngdN05LPKYoCVVWxv7+PdruN4XCIKIrQbrexu7sL3/dhGAaiKDq1F5SiKNA0DZVKBaZpwnGcE993fsprNpvh4OAA29vb6Pf7p0ZudF1HPp9HvV6H4zjsTkz0wPAdT0RXEgQBDg4O8Le//Q3T6RSmaSafk2UZiqKg0+ng06dP6Pf7iOMYBwcHePPmDY6OjqDr+qlpKRFubNuG67qoVqsol8unvrckScnI0cePHxHHcTIyI8KNJEmwbRtLS0swDAPVahWGYdz8/zFEdG8w3BDRlYRhiHa7jZ9++gnj8Ri2bSefk2UZsixjMBig2WxiOBxCkiQcHh4CANrt9rnhRlVV5HI56LqO6XR67veP4xjD4RB7e3uYzWZwHOdUuMnlcvB9H/V6/dxtGYgovRhuiOhKoijCYDBAq9XCcDiE4zinlnyPRiP0+31Mp9Mk7CiKgul0mkxjzYebKIqgaRpmsxmWl5eTQuR5YkVUFEVwXRfHx8eI4xi2bUOSpCTESJKE2WyGXC6H6XTKRn9EDxDDDRFdiVgh9fkH8PcVT/M9aMTrxajOWUuzz/t6531/ACe+3k321CGixcNwQ0RXoigK8vk8VldXz52W6vf7CMMQnuchjuOkuDeXy0HTtHNrbrLZLEqlEnRdP/V950ONZVmoVCqoVqvnTktVKhU4jnNiNRcRPQwMN0R0JbquY319HX/6058wm81OBBGxWqrVakHX9aSnzcbGBn7zm9+gVqslNTef18KI0LK8vIxsNnvu91dVFeVyGc+ePcPjx4+Rz+dPLAWXJAmWZaFcLqNarXKlFNEDxHc9EV2Jrut49OgRstnsqT43sixD0zTs7u5iOp2i2+0ijmM8evQI33zzDdbW1mAYxrlN/FRVheM4yGQyp76veL2maUm4+f3vf49KpXJq5EZVVRiGgXw+f2KpOhE9DAw3RHQlqqqiUqmgUCgAOLm9gah3URQFb9++TUZgKpUK1tbW8Pjx46SJ31nEv79otEVMXzUaDWxubqJWq53afkHU4IiOyUT0sDDcENGVSJIEXdfPrIsRbNuGruvJqImu67AsC47j/OqRlPmRGdu2YVnWr/p6RJQ+7ElORAuJq6GI6DwcuSGiaye2VxBTRaKA+Loa6l331yOidOHIDREREaUKww0RERGlCsMNERERpQrDDREREaUKww0RERGlCsMNERERpQrDDREREaUKww0RLZSz9qUiIprHcENEC2M+1DDgENF5GG6IaCHMb4SpKApkmZcvIjobrw5EtBAURYFpmnAcJ9mYkwGHiM7CvaWIaCFomoZMJoNisYhsNgvLsqAoyl0fFhHdQww3RHTvSZIEwzBQKpWwsrIC27aRyWSgqryEEdFpvDIQ0ULQdR2VSgW+78M0TeTzeY7cENGZGG6IaCGIcGMYBjRNQy6XY7ghojMx3BDRvSdJEkzTRKFQgG3bUBQFlmVxWoqIzsQrAxEtBFFQHIYhJEmCqqocuSGiMzHcENG9N9/jRjTvkyTpjo+KiO4rhhsiWigMNUR0GXbAIiIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUYbghIiKiVGG4ISIiolRhuCEiIqJUUe/6AIiIfq0oihBFEcIwRBzHAIA4jiFJUvK/ZVmGoihQFAUAks8RUfow3BDRQovjGJ7nYTAYYDQaYTabIYqiU+HGMAzk83kUCgVomnbHR01EN4nhhogW3mQywf7+PnZ2dtDr9RAEwYlwE0URcrkcnj59CtM0GW6IUo7hhogWmu/7GAwG2NnZwffff49mswnf90+8JgxDlMtlaJqGWq2WBBxOTRGlE8MNES2sMAwxHA7R6XRweHiIg4MDtFotBEFw4nVBECAIArRaLbTbbViWhWw2C03TIMtcV0GUNgw3RLSwRqMRPn36hJ2dHRwfH0PTNBSLRURRdOJ1URTBsiwMBgNsb28DAFZXV1EsFhluiFKI4YaIFlIcx+h2u9ja2sLHjx/hui7q9Tp0XT/1WkmSEAQBJpMJ3r9/jyAIYBgGbNtm/Q1RCjHcENFCEYXCs9kMnU4He3t7ODg4QDabxfLyMqrV6qnRGEVR0O/38cMPP6DZbEKSJNRqNVSrVViWlSwPJ6J0YLghooUi+tn0+310u130+334vg/LslCr1bCysnIqrKiqik6ng48fP2J/fx/9fh+dTge9Xg+2bTPgEKUMww0RLYw4jhEEAcbjMdrtNrrdLjzPS3rYlEollMtlqOrJS5uiKIiiCIVCAaZpIggC9Ho9tNvtpLCY4YYoPRhuiGihhGGIo6Mj7Ozs4PDwEKqqolgsYnl5GcViEZlM5lRQkWUZ+Xwe9XodnU4H4/EYw+EQzWYT+Xwe+XwehmHc0U9ERNeN4YaIFoYkSQjDEO12G1tbW2i328jlclhZWcHKykoSUj4PN5IkwXEcLC8vYzgc4uDgAMPhEO12G41GA2EY3tFPREQ3geGGiBZKEATodrvY29vDYDBArVZDvV5Ho9GA4zhQFOXM5ny6rqNWq2EymSAMQ0wmE0ynU7ium+xHRUTpwHBDRAslCAIMh0McHR3B8zzouo5isYhcLnfmMnBBURRks1ksLS1hMplgOBwiDEN2KiZKIYYbIlooURTBdV0Mh0MAP6+EchwHhmFcGFJkWYZpmigWixiPx5hOp/A8D9lsFpIkndiLiogWG8MNES2cIAjg+34yBfWloy+yLMOyLJRKJYRhiCAIUCqVTq2uIqLFxnc0ES2sX1Iro6oqMpkMJElKtmVQVZWjNkQpwnBDRAtHkqTkA7hayJEkKdkVPI5jqKrKkRuilOE7mogeFDGNxT2liNKL2+ESERFRqnDkhohSKY7j5OM8n09vEVE6MNwQUarEcYwwDOH7PsbjMcbjMXzfP7VTuCzL0HUdmUwGtm2z7oYoRfhuJqJrp6oqZFlOAoUsy1AU5dYChOd56HQ62NrawocPHzAYDKAoCmRZTvrZ6LqOcrmMZ8+e4fHjxww3RCnCdzMRXbswDBHHMaIoAoDkf4dheOO7b0uShNlshsPDQ7x69Qr//d//jWazCV3Xk93BAcAwDGxubkKWZTQaDdi2faPHRUS3h+GGiK5EdAiezWaI4zgZDQGQjNYcHx9jPB5jNpsBQLLdQa/Xg2maSS2MqHeRZRmapl3bsuwwDDEej3F4eIitrS3s7OzANE0oigLf9xEEARRFwXQ6xcuXL+F53q/+nkR0fzDcENGVzGYzbG9vY2dnB77vnwgjYuppf38fW1tbODw8BAB8+PABxWIRh4eHMAwDURQhiiJIkgRVVZHNZlGtVlGr1ZDNZn/1MSqKAsdxUKvVsLm5CcuyoOs6VFXFeDzG0dERhsMhptMpptMpdwUnShmGGyK6Etd18d133+E///M/MR6PYVlWstpIjNz0+33s7u7i4OAAADAej9HpdJDL5aBpGqIoSkZ7dF3H+vo6vvnmG1iWlXQP/qXiOIZhGKjVavj973+PXC6H4XAIVVWhaRo6nQ5ev36NH3/8EZqmJVNoRJQeDDdEdCWe52Frawt//vOfMRgMToQR8WcQBMm0lCRJGI1GaLVa0HU9mcYSH5ZlodvtJsW910HXdVQqFdi2jc3NTQRBkIwSHRwcwHEc9Pv95PiIKF0YbojoSuaLg8XHWQHBsixYlpX8XezlJAp6xbSU+G/zn/s1RIhRFCXZBfzzz1UqFTiOA9/3f/X3I6L7h+GGiK5E0zTU63W8fPkSo9EItm2fGW5kWYYkScmUz+cN9US4MQwDjx8/RrVahWmaX3QMImDNFyR/7rzmfKL+RhzbdQQqIrpfGG6I6EoMw8CTJ0/wz//8z3BdF4ZhnPvaiza2FP9N0zTUajWsra3BcZwvOgYRaH5JQPF9PxltEr1viChdGG6I6Eo0TcPq6iqAn2trfu3SbUVRkMlkUC6XYZrmpTUwsizDNE1kMplkWmwymcDzPGiadu6/j+MYQRBgOBzC931omgbbtmGaJgMOUcow3BDRlSiKgmKxCEVRrqUpn5iasizri4KSqqoolUpYXV1Fv9/HZDLB/v4+MpkMSqXSiTqfeWEYotPpYHd3NymELhQKqFQq3CGcKGUYbojoSmRZhm3bUBQlacT3a4nmfV8SlDRNQ6PRwLNnz7Czs4PRaIStrS0YhgFN02AYxpkjMbPZDDs7O3j79i16vR6KxSKq1SpWVlYunFojosXDcENEVyL2ZVJV9VrCjehyPL8X1UVEQfN0Ok0Cy+7uLhzHQblcRiaTOTUCJEkShsMhdnd3sb29jTAMsby8jCdPnqDRaDDcEKUMww0RXYlYTn1XFEVBPp/H8vIyWq0W9vf3MRwO0el00Ol0zpzeUhQF7XYbnU4nmZIql8toNBooFovcNJMoZfiOJqKFIgqK8/k8SqUSHMfBcDjEcDjE4eFhsgO5WI0lVlb1ej0Mh0NIkgTHcVAoFFAsFmHbNguKiVKG4YaIForoX2NZForFIpaWljCdTuH7Pvb399Hv908sQRevF5t9lkolLC0toVwuw3EcqKrKLsVEKcNwQ0QLRQQRXddRLpexurqK2WyGg4MD7O3tIQiC5HXzDQQVRYFt22g0GlhfX0+2Z/i1q72I6P5huCGihSTLMvL5PBqNRrLTd6fTQbfbTboXA3/vZpzNZvH8+XMsLy9jZWUFxWIRuq7f8U9BRDeB4YaIFpZpmiiVSiiVSrBtG1EUYTqdJqM3QhAEMAwDtm2jUqmgXC6z1oYoxRhuiGhhqaqKbDaLYrGIYrGIXC6XdCAG/l5zEwRB8rpyuYxcLgfDMFhrQ5RSDDdEtNAMw0iWhg+HQ+Tz+VO7fYdhmHQ1zufz5zb6I6J0YLghooUmyzKy2SzW19dhmiaGw+Gpaak4juE4DlZWVpDJZFhETJRyUnzWdr1ERAtCbIjpui5c10UQBIjj+ET35DiOoWkaLMuCZVlQFIVTUkQpxnBDRAtvfsn3eZc00e+GoYYo/RhuiIiIKFVYUUdERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqcJwQ0RERKnCcENERESpwnBDREREqfL/AMQz3ogZKZPPAAAAAElFTkSuQmCC)
maths-General