diff --git a/simulations/08_beacon_sync.ipynb b/simulations/08_beacon_sync.ipynb index 2ae1b54..5727efa 100644 --- a/simulations/08_beacon_sync.ipynb +++ b/simulations/08_beacon_sync.ipynb @@ -160,7 +160,7 @@ " return signal, position\n", "\n", "def sin_delay(f, t, t_delay=0, phase=0):\n", - " return np.cos(2*np.pi*f * (t + t_delay) + phase)\n", + " return np.sin(2*np.pi*f * (t + t_delay) + phase)\n", "\n", "def annotate_width(ax, name, x1, x2, y, text_kw={}, arrow_kw={}):\n", " default_arrow_kw = dict(\n", @@ -188,12 +188,20 @@ " return 2*np.pi*frequency*time\n", "\n", "def phase2time(phase, frequency=1):\n", - " return phase/(2*np.pi*frequency)" + " return phase/(2*np.pi*frequency)\n", + "\n", + "def time_roll(a, samplerate, time_shift, *roll_args, **roll_kwargs):\n", + " \"\"\"\n", + " Like np.roll, but use samplerate and time_shift to approximate\n", + " the offset to roll.\n", + " \"\"\"\n", + " shift = np.rint(time_shift*samplerate).astype(int)\n", + " return np.roll(a, shift, *roll_args, **roll_kwargs)" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -201,13 +209,13 @@ "output_type": "stream", "text": [ "Beacon period [ns]: 14.285714285714285\n", - "Beacon initial [ns]: 9.0\n", - "Beacon initial [phase]: 3.9584067435231396\n", - "Beacon initial [idx]: 45.00000000000001\n", - "Beacon difference [ns]: -5.714285714285714\n", - "Beacon difference [phase]: -2.5132741228718345\n", - "Impulse offsets [ns]: [36.4 75.8]\n", - "Time difference peaks [ns]: 39.400000000000006\n" + "Beacon initial [ns]: 4.4\n", + "Beacon initial [phase]: 1.9352210746113125\n", + "Beacon initial [idx]: 22.0\n", + "Beacon difference [ns]: 8.571428571428571\n", + "Beacon difference [phase]: 3.7699111843077517\n", + "Impulse offsets [ns]: [ 75.4 149.6]\n", + "Time difference Impulses [ns]: 74.20000000000002\n" ] } ], @@ -218,7 +226,7 @@ "\n", "band = (30, 80) # MHz\n", "samplerate = 5000 # MHz\n", - "timelength = 0.1 # us\n", + "timelength = 0.2 # us\n", "\n", "time = np.arange(0, timelength, 1/samplerate)\n", "\n", @@ -229,12 +237,12 @@ " f_beacon = 20 # MHz\n", "\n", "beacon_amplitude = 0.1\n", - "beacon_init_phase = time2phase(9*ns, f_beacon)\n", - "beacon_phase_offset = -0.8*np.pi\n", + "beacon_init_phase = time2phase(4.4*ns, f_beacon)\n", + "beacon_phase_offset = 1.2*np.pi\n", "\n", "beacons = np.array([\n", - " beacon_amplitude * sin_delay(f_beacon, time, phase=beacon_init_phase, t_delay=0),\n", - " beacon_amplitude * sin_delay(f_beacon, time, phase=beacon_init_phase+beacon_phase_offset, t_delay=0)\n", + " beacon_amplitude * sin_delay(f_beacon, time, t_delay=0, phase=-beacon_init_phase),\n", + " beacon_amplitude * sin_delay(f_beacon, time, t_delay=0, phase=-beacon_init_phase-beacon_phase_offset)\n", "])\n", "\n", "\n", @@ -242,7 +250,7 @@ "impulses = []\n", "impulses_offsets = []\n", "impulses_def_offsets = [\n", - " (0.25*len(time),0.5*len(time)),\n", + " (0.3*len(time),0.4*len(time)),\n", " (0.7*len(time),0.8*len(time)),\n", " ]# random offsets in interval\n", "for i in range(2):\n", @@ -261,8 +269,8 @@ " impulses.append(imp)\n", " impulses_offsets.append(imp_offset/samplerate)\n", "\n", - "impulses = np.asarray(impulses)\n", - "impulses_offsets = np.asarray(impulses_offsets)\n", + "impulses = np.array(impulses)\n", + "impulses_offsets = np.array(impulses_offsets)\n", "print(\"Beacon period [ns]:\", 1/f_beacon/ns)\n", "print(\"Beacon initial [ns]:\", phase2time(beacon_init_phase, f_beacon) /ns)\n", "print(\"Beacon initial [phase]:\", beacon_init_phase)\n", @@ -284,12 +292,12 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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vAoZejpVINEVJTTN/+/wQ67NK0dedYtbISC6cO55h4QEI4ERlI1vzKvj3d8d5c/sJrpmVyO1LRhFylo4h3XJ6U4f5o5yzrFhXFoyO5uvDpzhW0UhydJBLPsPTyS9r4KF1h9iUU05YgDfLpwwlPTGc2BA/WtoN5JU1sOHQKR79XzbPfpPH8iT46fTh7taWSCQSj0RNotshhPiXy00kkgFECMEHe4pYtfYQBiG4bfEo5kUnEhrgQ2pqotWR0ayYlcTJ2mae2ZDHv787xvrMUp64YhKzRp59d8tbcitIjQ0iLtTPJddfYF5mLLf8rEx0P91fzN0fZeCtV7hnWRorZiXh563vdMziMbH8ZsFI8svqeebrPN7atIcvs07xzK+jnbausUQikQwW1CS6nyuKcguwhs6rLlS5zMoTKNwN3z0DFfng5QPNNSAE+IZAWwMoCviFgN4HpqyA9GsB09JLJ6qaKK1toc1gRAEig3wYFh5AQri/6x7Hmn1PZpjcfAKhpRYUHfiHQUeb6efo4usWusa2oxUUL2itBUUP/qHQXAs+ATDjZqe7ltW1cPfHGXybXcb0ERE8cfkkhkcG2N8ysXA38d89w2MV+dwfr6OuqhzDm4LyoAiivFtNv1MbZcEZtBuMVDS0EuDtRYi/V+/lp3A3HHgXynOhphAQ4BMMrXWmcmEuC4FRED0aJv0Mhk1X5dLcZmD38SpWzEzs/WC17HkDdr4IHS3gF8Lwjla+9m8l9Jtm+N4P/FxbFnrCaBRUNLSi0ylEBPiYdmyz9vUNgeZq08H+YdByOsahCQ7Htq3DyMPrDvHmjhOckxTO8z+fSmxIzzcTKTHBPP/zqSyK7+AfX+aw4vXdXHXOMO67eCxBvl4m131vgaHNFENzWTC2g7ef6TVFgbgJMOd21a4uo6uvMJ6ub+tN9ZhfiKnsRo1yv2+3+jbIVN8CBIRDcy1GBI3h48hN+RUlwRMwCkGInzexIX4kRwd2u4FxKfZiKzrAy9ezykIf2163uVrXtwrgHdS5vtVKbIXh9GvuqW9diZrlxY7ZeFkIIZLtnaPp5cXMDVmFum1gzdGr1kdRKsJ5q2U+7xkX2zw22M+L9MRwzk2L4dzRMc4Z77nnDdj6BNQWOnZeeDKMXOhQY9xvHIythaBYSDin35WEEILPDpRw/6dZtLQbuOuCNK6dnWR7y1nrhqzW/m7X5t9/pyv007fDYOSLzFLe213A98eraDeYPmVomD8/mjKUmxYkdx86Ubgbvn4ATmx3+PNInA1L/tqr68acMq779/e89avpqnsObS4vZo5t4R5oPGX3XEGXuILTykJP5Jc18OLGfL7MKqWxzcBUJZdbfNdxji6fEGN1d6eeiE7rtcEoqWlm5bs/sK+ghhvmjuCuC9Pw1qtZEOcMLe0Gnv46lz1b13O1/w4uCMjGv/6EQ9cYiNh2w1wWCnZDU7lj56qIrdPZ8wZsfVJVnWD+xggcNiayX6TwsWEeP4hUdAqMGxLKnJQo5qdGMWNEpEOTO1W77nsL6oqhvtSxc8OGw9zfe1xsbeLEtqy2qZ3MkloyimspqGqior6VmuZ2dAoE+HgRH+rH0HB/ZnofYcLhp/Eu2uH4h8RNMP2dnUVt70DQ0/JivSa6fUGTiW5fE0ZMN0TWrV9zwFCqp91Ky8QVdBgElY2tHK9oIrOklu/yKzhR2QTAOUnh/HhqAssmxBPq78CYT0vjsAuaKhz27YbKRKdPmO94j2yG6qP9v14fG7fy+lbu/zST/2WWMmV4GE9cMYmRth6N9ydhtEXaxaorCSEEXx06xUPrDlFY1cyIqECWjo0lMTKAplYD249UsCm3nKggX174+VSmj4joe+Ngi14at79+nsW7uwo48MB5qnujOiW65nKbva7/ruBQbNUghGD11qM8/mUOvl56Hhz6PedVvkNwa4nlmD6nInYa4215Fdz23j5a2w08fsUklk2I7/sPsOEBxHfPmL4Xpk6kPtNDnSCEoK6lgw6DEV9vPYE+esefVPW14bWFq2/a+5OMY5X4nv6+KjKdL+N/w6cVCfxQUE2HURAd7MvFE+NZPnkokxJC+/fkr3A3rLsTSjP6fg0zrk54+xnbbjjYlhmNgqySOr7NLuPbnDIOFtVgTonCA7yJDvYlLMC0wkljawdR1fu5uf0/TNdnm+oCpR91Aoqp/lrqooWtLG3vJqi21V/pIO64sXSAfiW6iqIEAHcCw4UQNymKMgrTlsBr7Z3jjkS3rqWdlzYdwUuvw0unEOznRXyoPwnh/qTEBNlumB1IwrpFySq5tVvQYyfAxU91+6M7VtHI/zJP8tHeIo6UN+LjpWPpmFiWTx7CwtEx+HjZ6c1RkSiouW2x6+vshHfDAyZfO3Tt+bCg2Py2MyorYCEEH+wt4uF1h2luM3DH0lRump/cvfekj0lYp5+hp0qvl9gWVTfx4GdZfH24jLS4YO5cmsqSMbHdepsPFtXwu/f3M6v6c+4J+YLAphKb1+sXdmK75KnNxIf68fb1M1RfypLoVizosSxYI8z/UdWIKJB2kVN6+x/4LIu3dpzgoYQ9XNX6AV71tm96rf3A0YbO1LgZFz/Ii5vyeXJDLinRQbx0zTTbN1690ctNr80nDo6QdjGN56zk24YktuaVc7ColqMVjbR1GC2HhPp7kxobxKzkSBaNie05USvcDWvvhFNOSMKsEIBAoTBmIV+FXcX21mSa2gwYjIIQf2+ignxIiQkiJSaIsfGhxIb4qhsG1MNNb7f6S029ZU3ibJrn38+3jUl8dqCYjdnltBmMDI8I4KKJ8Vw8MZ6x8SHqk97C3aY6t6AX3x6w+0nOvpnoUt92fXpjz1V1Oe6hvm1s7WBbfgXfHD7FxpxyyutbURSYlBDGuaNjmJoYxvghoZ2W8LMuC7aeNHXt7HLItYe2rLa5nfyyBsrrW6hoaKOprQOdoqDXKcQE+xEf5kdyVKAlGbfQS9vbL6zyGiEExTXNHC1vpKSmmeKaZlaemzKww3JO099E931gL7BCCDFeURR/YIcQYrK9c9yR6BbXNLPgHxvpMHb/eXQKjIgKZOyQUMbEBzM6Npj0vH8S8sML7BjXAMDsrM6NjLD6f4X3UNraWzEaoEEXSIx3KwE+enz1An29ikTDTkEWQpBRXMtHe4v4/OBJqhrbCPX3ZtmEeM4dHc2M5EhTT69V70dupWnhi9TIMwXJ+ieuJogGgx91IpBgpREvvUKLPhgfOvAzNhElKiwnWNefnf5O+9tTdrp3PPfocfuuwvRIr8xrCF7ePuDlg297AwJBA0H4tVUQbvWY2G5d30MFvP1IBU99lcueE9VMT4rgkR9PICWmSzJhVYHZim03IpLB0HFmnFhzLe1GwamGDoYYT1o81Sa8bR1GXtt2jGe/yUNR4I4lqVw7J8n+o+s9b9Cx+QmOHD8OAkZH9eAaFGcaf3fa09pZVQ+wVYVWUtPM7Ee/5b6LxnDDPLujljpTuJt9hy+BljoCN5g87cY2KBaCYixjycvKyugwCobExUJ9WY9DHCz040btqa9y2LbxC14I/Q91xTkoPbgKoE4fQWFrMGFeTYQH+BAYEmGKq6ENGk7RU1ohgHJ9LE81X0zThGv4+48nEOirZrqEFSrKrdmg2BCBn68Pof7eeAdajddvrjWNeWy2Pd3CfL5RwPfGNF7QX40yfAajY4OICfbD11tHU5uBgqomDpXUcbCoBqOA1NggfjEjkR9PHXpmh7se6oRu2PgbQ1FAp4cq+x0S5qbMCHzo9xM+jrgRvU6hvqWDk7UtVDRYpphYtpyeMDSU8ae/LOtlWyVhduvb059VowSj8w3CLzgC3/b6zs49xLYTp3vKasf9gi8zS/n8YAnbj1RiMAqSowM5f1wcM0ZEMC0x3PaOgaef6uQcNfXajbbjClBsjMCADgWoE4F4Kx20Cy+ClUaC9S2E02A51nYd5oReyNNPHsyx7eRr5XpKhFFhDCVYabT4hnk14q3T46MzEtZxpge4p/q2fu59ZOrS2Huiil3Hqth1tIo2g5FgPy/mp0azOC2GBanRRAb5dj//dNubm3MIsF1uBWfqhAaDjpqOQEJ0jfh66VH8QgmmEW9DE16t1TYVzT9yc1AihWHT2RqwhI1NSeSdaqCsvtXmOV0ZERXIlGFhXOOzkQlHV3P0eIFdXwtd/87M9UIv9a35583znchjHVfxbWOS5T2dApv+cC7DIwd+Gc7+Jrp7hBDpiqLsE0JMOf3aASHEJHvnuHPoghACg1FQ29zOydoWCqqayC6t5/DJOpSi3fy46SOmKLnE6OoA2DH+TKJrndxmk8gPHaYxVfm+Y5k3KppLJsWzcHRM57sV8zio5uoeK2Ggx/Eu7QYj2/Iq+GR/MV9lnaK53cA0XS6P+r5Jijjz2CHPquI1V2JGoFhE84H/FZxMuYpJw8KYnBDG6Ljg7r3De97AuPMFlAqriVdWjzk7JbyOPKqw9I5vhOrjAJ0aCesK96TXEETSAqLn/RKfpFl2L9lydAdNX9xHWMUek1OXBL1zR4pCx+zbyB73e3YerWTNvmKySuqIC/Hj9iWjuDJ9WOfeURuP/G0mDEGxEJnS6+SilnYD/37vfabk/JPpXqbHWj3d0Yvo0eQmXcOtORPJK2vgvLGxPHDpOIaG+Xc/2MYjqK6xtXyW2jFVKsfJAhA3gTyfNO7KG8ejv7uB1NheNka0ujHbN7kRgMBv/Cy+nbCTnL669SgPrTvMd3cvMsXEkSElDj5uPbT2WYJ2/ZNhelOPaJ69G54usf3+eBX3rskg91QD54+L5e4LxzAiKvDM7+voZpt1Qqce4fBkFEd6ymw88rd7gxadRtOUm3imZjZvfHecDqORRWmxXDg+jpkjI4kP8bNMsOvY/gLG+lN4t5smVNnrXVN6GF9Y09TGV1mneGfXCQ4U1RLs68VjST9wXtV/8Kov6tkV1N2onI5tS863+Naf6Pmmvcvvq6apjbyyBrKKa8koriOzuJa8snrMfSMLA47xJ6/3GNN2prfZXBZGReotnyUUqPWJp3H6bQxdfHPPPa6ODNGwurGsbGhlfVYpaw+cZPfxKgxGYZrPFOLHsPAApulzOa/6fZJaDhNmrOrkmhqp79TDWO8TgwiKo3XCL/CdeT0hfqabqg6joLy+leKaZnJK69lXUENM3rtc1fIhw3QVPd+0Ozp2s3A3LZueQhTsxK+9GgTkVXVpHzCF2BgyDMPsO2iZtILWDgPl9a2cqmvhWEUTuaX15JbVk1tazyUdX3Gd/n+k6EpMW7x28bW+UTtiHMrrhgvYG7XclNyOieGcpAjbHQo2nvTaLbdd4mAwCvYVVJuGQmSXkV1abzn0Wt9NXKv7guGi6EwHjtnV6o/MCBzyHsfGhJX4jJhJSnQQ8WF+RAX5EujrhRCCdoOgrL6F4upmanK/Y0TOqwxvOkikMH2edWw7obZnvkt92/Whhbl8GYG6wGRqJtyAz8xfERvsi5eD8wucRX8T3e3AYuA7IcRURVFGAv8nhLAbJbcluoW74fhWSJp35pdormhaaqGhtNsvbPvpHt1Zp3t0j+hG8HbEbRgSzmFkdBDTEsMZNyRU3UQBR8ZGhSV2n519Omk2tLfSUVuKT2tFJ1cw/cEJzlQOxcGTqZh5D8lTFhEa0IdxvoV7EKcTHVuNmwIQPAR8g7vPdu4S265YXCP0GIFTvokYp/+GhCW3qPc87Wrc/y7NR3fiX33YkvR2atxOC1eJIBqFH7U+sfjEjyVp8fX4jpjVeXJZaz20dL+77lyZ9a3nYn1mKR988hFXtHzMUq89lj22bSYOAkqVCIKDwwkaOqZ7bHu4gbKOrVCA0OHo5vVxLJ3KCTYCUCKSUXTenctCD7G1m+j28tQg71Q9S5/ewt9/PIGfWa8Ra+lt+4JeH8b6h5tmE1vPdu4yS7qjuQZ9m+mm1/w76tao9ZA4t3UYeXXbUZ79Jo+2DiPLJsRz+bQEpo+IIMDHtPJB+/YX8KrKtQTSbl4UkWxytp5Jbj1LurUebDxB6uZrI2E8WdvMOzsLeO/7QkvPpnmIV2ObwTIU4S6vd/m119puDbEqX6vYtlYep6OxhgCj6fdv/pm7uTrwSLy1w8AXGSd5c/sJ9hfW8EufjSZGaDYAACAASURBVNzi/xUxrQUovZWFoDjTDHjrG/fC3XT88C5NJ7PQVx4hoP301tOis6+5vm3yicI4JJ2gRXeiDFc/fMf8WapvLM1PN06vKtA44Wr2FdTQuus1xha8g297HWGiutvvyNoVQOnD+FohBEfKG8jYuYGJB1aR3HHU8iHWCWSncmGrM6BwN4Z979JYnIVSmU9QR1WnRkWx8h3dQ7ntyfNkbQvHKhqpy9tOYvZq4uszLUm/dVw63agFDwGdV/dVBVTUt6CuTrCmtrmdjKJaskpqKalppqS2haH1Gfy05jXS2jNs/p1167iwEVtLfdvRailP1m12bqUBIUy+RgWq/EbQMOVGhi+9RVUu02EwcrC4lkO7viY090PGNu8nWV/a83At/3CTr5vG8fY30T0PuBcYC3wFzAGuE0JstHeOWxLd49/BW5eA8fSeFiHDoL2x10dH5kR3dlm6835BfZkg5BsGrTU9HiIw37UrpM651HkTcU6P57E1ns/mGL+ASNNjjrZ67CGA3AoDRsAvcSr+Fz5E3Pj5/Xct3I3oMsavd99oVRMdLJXZnOX9im19Sztv7TjB3m1f8tPWj5mk5BGnt99T1tk1yvT/XiYZml1DU6Zzc+kl/OSyH/OLGYl98rXQy42arbFp+IaYltKxQ7dEd+o8VY2ZEII5j37LxIQwXrpmmm1XR8dU+4aalrAzfwamn0d0ST4t5WDsZJtj7G1RXt/Kq9uO8u7OAupbO9ApEB7gQ5vBSH1LB1OVXB4I+ICJhixAxfg931DQe0FTZa+fnVtpgIAoUqfM6bXcGo2C7NJ69p6o4mRtC3Ut7QT6ehEd5EtanOlRfmjlPsdj6xdu8+bRGiEg19zTNHIEisokrLCqif/uKeT/dhdQ0dBGclQgK2Yl8pNpCaZH+Y6WBZWx7VTfXnqn8yYNOTp+0jfUtBxYD/UtWJXbkSOcNoGs7rvVGLe/SEjjURQ7vefWCKBBH0GwoarTAbZu7pxV33bC0bbX0dhGejlvAllfJg32Ut+aMd9EhIyczis+1/Cf4ljaDYJAH71lqE58qB/Rwb74eunpMBo5VddKUXWTpXe/ud2AXqcwY0QE542N5VLDBiL2Pqcuthf/c8CT3X6vuqAoSiQwE1P9vFMI0WMr7JZE98PrIfNDh0/LHzkU0i4i5ZzHne/kzBnxAOHJVEbPgPE/IXLiUudc04xVT5mwqr5UD6g/jfVj2WwxAr9lDzNixkVOFD2NM2dtAwTFUhk6EWb82mmxbe0w8P2xavaeqGZS9tPMr3inUzwdja01lYFpcP5DRExYws9X7yKzpJZv7lxATC9rr6qiS7m1meCqxJzoDi9cAAvudii2f/74IGsPnOSH+5faH7PsSE+ZSiq9h8CMlUQucXxb8JZ2AzuOVLK/sIaKhlb0OoXhEQHMGhlpmlhU9L3zZsQDoFA54UZYeLfzt/t0YmzNTwSymiJ4te0Cjo+6miumJTB/VDTDIjqvLy6E4HhlE9/lV/D5gRJ2HatCUWBxWgwrZiUxNyXK/pKAzlwxBagcutSpdYKFXoa39IX+lNteKdxNx5f3o7deTqunpxMqqIxMd7hOUI2TJ2NV+gyHpDlEzvuV81f2cHZbRvfY1rW0syW3nO+PVbG/qJbsk3W0Wk0oNRPgoyc5OpBpw8NJT4pg3qiovk10G7kIrlnjrB9HFf3t0f1GCLG4t9escUui+/ntsPcN9ce7ckmtrvS3Ah7INQ27VMCdHvvYOLzrZAejAg1BIwmYvxLv6de71hU0Hds+YWPc9LGKRs5/Zgvnj4vjuZ9NcY4rWCpgY0WOqTdHcTDhjZvAvlHHITCWKTP3Ovzx6zNP8pv//MD7N81kRrKKJM6BG8uutZ4CA1sW+tu4DfQ62P31PV3ftsRN48O9Rby+7RhHK0w3QcG+XiREBODjpaO13UBRdTMNrR0AJEUG8JOpCfxo6lASwlVOcOlvnTDQa4f2t0NkoNuyLkPezKiqGwYyti6qb12GM24sVZYFIQR1zR2U1Zs2tvLS6YgJ9iUswFvdKh/m2BbtsX3TrpUeXUVR/IAAYCOwkDPlOAT4nxBijL0PdEuiW7gbXr/AtLuHLVROKnIpXXdRsVex2RtHNNBYjVsSdioKATR4RdIaOoKghHH4p1/tvtiaxy0Z2myOGQZsj9t0B9Y7FfU0y9Xe+OguPPVVDs9+m88nK+cweViYU1Vvfewlfik+45ygCtOuWvYaDRuxtblhhErqW9qZumoD185O4t6Lxqo/0bos2Jn5bgDKDaGEhwThO2yK+8qC9RjcnmILtsfwDjQqxgwDZ1b8sPN3JoTgaEUj2/MryC9roKi6mQ6jwFuvkBAeQEpMELNGRpIcFdj3NWWt69uK/J6TB1tjeAca6133elphwhPaMuh1joYFT4mtmvo2Ihm6zkFwB51ia2cVF3N924edGJ2KdX3rxpylr4nu7cDvgCFAMWcS3TpgtRDieXsf6NbJaJ22lu19u8j8fNOPkZLigsc9vdHVV8WWhpWVpnFlTn9M2RvdtjpUek0W3eYK2ootdNsKtzffrq4NrR0s+MdGUmKCeO+mmU7bavpIeQOLn9zM35aPY8WsJNOLXctCD5WbOdEdPvyjTr5q+eXruzlW0cjmPy7s+89kHdvQBJpCR/KrfSnEjJ3PszZ6wD2i3Jq3llXRiLm93JoTCBX1rYytA3T11VJ9q7Wy4OmxVVnfmnGrr5vo79CF3wohnnPkA7W0M9r27abZs7Nn73KziTpyc02zt1NTU91s0jtacgVt+dpyfXvHcf7yaRavrkhnydhYp3zOy5uP8Pf/ZZ9Z5stBzIluYOArgOOxfXdXAfesyeB/t89jTHyIw59vi/s+yeC93YV88/sFJEYGdntfS+UAtOWrJVfQlq+WXEFbvlpyBe35OoOeEt1eFzwTQjynKMpsRVF+rijKCvOX8zUlEkl/uGr6cJKjAnl0fTYdhu4TDfrC14dPMTY+pE9JrjNYOjYWRYEvs3p4NOoAxysaeW93IT+bPtxmkiuRSCSSwUWvia6iKG8DTwBzgXNOf9nMmiUSifvw1uv40wWjyS9r4KMfivp9vZKaZvacqOb8cXFOsOsb0cG+TBsezpdZzllR4akNuXjrdfx2UYpTrieRSCQSz0bNvpPpwFihZh0yiUTiVs4fF8fkYWE8vSGP5ZOH9mvP8bUHSxAClk8e4kRDxzlvXCyPfJHNicrGfvXCZpXU8tmBEm5ZONI5y7BJJBKJxONRM0b3A+A2IcRJtRfV0hhdiWSwseNIJT9bvZN7lqVx0/yRfb7Oxc9tRa8ofHrr3D5foz+rLpgprmlm7mPfctuiUdyxtO9jzq77925+KKhhy5/OJdTfgV0EJRKJROLR9GuMLhAFHFIU5UtFUT4zfzlXUSKROItZIyNZkBrNCxuPUNvc3qdr5Jc1kFlcx6WThzrZznGGhvkze2QkH+8rwmjs24OlXUcr2ZhTzs0LR8okVyKRSM4i1CS6DwKXAY8AT1p9SSQSD+WP54+mtrmdV7Yc6dP5nx0oQVHg4onxTjbrG5dPS6Cwqpndx3ve0tsWQggeW59NbIgv185Ocr6cRCKRSDwWNasubLb+AjqAn7pebWDYvn2GZYkxLZCbm2tZOsTT0ZIraMu3N9fxQ0O5dNIQXtt2jLK6Foeu3WEw8sGeQuaMjCLWSWNZ+xvb88fFEeTrxUd7HZ9k9/XhMn4oqOF3S1JVjVnWUjkAbflqyRW05aslV9CWr5ZcQXu+rkZNjy6KokxWFOUfiqIcBx4CDrvUSiKR9Jvfn5dKh0Hwz2/yHDrv68NlnKxt4eqZiS4yc5wAHy+WTYhjXcZJ6lrUD8cwGAWPf5lNclQgV0xLcKGhRCKRSDwRu4muoiipiqLcryjKYeB5oBDT5LVze9oVTSKReAaJkYH8bPpw3vu+kGMVjarPe2vHcYaE+rFkTIzr5PrAillJNLUZeHeXna2zbfCfnSfIPdXAH84fjZde1X29RCKRSAYRPdX82cBi4BIhxNzTu6MZBkZLIpE4g98uTsHfW8/9n2aiZoXAvSeq2H6kkhWzkzwuMRw/NJQ5KZG8vu0YrR29V0Vl9S088VUOc1OiuHC8+9YClkgkEon76Gkd3Z8AVwEbFUVZD7wH9HGzec8lJuYadys4hJb2rtaSK2jLV61rTLAfd12Yxl8+yeTDvUVckT6sx+Of3pBHZKAP1zh52IKzYvubBSO55rXdvL3jBDfMS+7x2EfWHaa13cjflo9DUdRXXVoqB6AtXy25grZ8teQK2vLVkitoz9fV2E10hRBrgDWKogRiWnXhDiBWUZR/AWuEEF8NkKNLSUm51d0KDqGlAqwlV9CWryOuv5g+nM/3l7Bq7SHmjYomLtT2BLMNh06xLb+Ce5eNIdBXzV4y6nFWbOemRDE/NZp/fpPHj6YMJTLI1+Zxaw+W8Mn+Em5blEJydJBDn6GlcgDa8tWSK2jLV0uuoC1fLbmC9nxdjZpVFxqFEO8IIS4GEoD9wN0uN5NIJE5Bp1N49CcTMBgFv357Dy3t3R/71zS1ce+aDNLigvmlBy/BpSgKf7loDM1tBu7+OMPmuro5pfX8+aMMpgwP47eLR7nBUiKRSCSegkOD8IQQVUKIl4UQi1wlNNDk5z9Pfr525tZVVlZSWVnpbg1VaMkVtOXrqGtydBBPXzmZA0W13PDmHuqtVi5oaO3g2n9/T01TO09cMQkfL+ePzXVmbEfFBvPnZWPYcOgU//gyp1Oym11axzWv7cLfR8+zV03Buw/jjLVUDkBbvlpyBW35askVtOWrJVfQnq+rce7zSQ1SVvY2oJ0hDObCq4VHE1pyBW359sX1vHFxPHHFJO766CDnP72FX80dgY+Xjje2H+dEZRMv/mIq44eGeoxvT/xqThL5ZfW8tPkIh0/WccmkIeSXNfD6d8cI8fPm3RtnMCwiwCNcXY2WfLXkCtry1ZIraMtXS66gPV9Xc9YnuhLJ2cTl0xJIjAzg4XWHeWidaTns5OhA3rxuOnNHRbnZTj2KovDIjyaQGhvM0xty2ZxbjqLAsvHx/HX5OKLsjN2VSCQSydmFTHQlkrOMc5IiWHPLbErrWjAKGBLq59CqBJ6CoihcN2cEV89MpLCqicggX0L9vd2tJZFIJBIPQia6EslZiKIoxIf6u1vDKXjrdQ6vrCCRSCSSswNFzSLyDl9UUcqBE06/sDqigAo3fbYWkfFyDBkvx5DxcgwZL8eQ8XIcGTPHkPFyDHfFK1EIEW3rDZckuu5EUZQ9Qoh0d3toBRkvx5DxcgwZL8eQ8XIMGS/HkTFzDBkvx/DEeHnWHp8SiUQikUgkEomTkImuRCKRSCQSiWRQMhgT3VfcLaAxZLwcQ8bLMWS8HEPGyzFkvBxHxswxZLwcw+PiNejG6EokEolEIpFIJDA4e3QlEolEIpFIJBKZ6EokEolEIpFIBicy0ZVIJBKJRCKRDEpkoiuRSCQSiUQiGZTIRFcikUgkEolEMiiRia5EIpFIJBKJZFAiE12JRCKRSCQSyaDEyxUXjYqKEklJSa64tGY5XH4YgDHRY9xsoo6WlhYA/Pz83GzSO1pyBW35askVtOWrJVfQlq+WXMH1vjmVOQCMjhzd72vJ2LoOLbmCZ/nu3bu3QggRbes9lyS6SUlJ7NmzxxWX1iwz/jUDgF0373KziTpyc3MBSE1NdbNJ72jJFbTlqyVX0JavllxBW75acgXX+y58YyEAm67d1O9rydi6Di25gmf5Kopywt57cuiCRCKRSCQa4dZbbyUxMVH18SU1zZyobCK7tJ6nNuRS19LuQjuJxPOQia5EIpFIJBrg2LFjbNq0iba2Nurr63s9/lBJHRf+cyun6lpo6zDy3Ld5XPLcNoprmgfAViLxDBQhhNMvmp6eLuTQBYlEIpFInMeKFStYtmwZq1ev5uGHH2bmzJl2jy2ra2H5C98hBBD9IH7eep5Y+DHXvfE9I6IC+ejm2XjrZV+XZHCgKMpeIUS6rfdkKZdIJBKJxMPJysoiMzOTK6+8kjFjxpCVldXj8avWHaaqsY3Xrz0HP289AOlJEfzjJxM5WFTLc9/mD4S2ROJ2ZKIrkUgkEomHc++997Jq1SoURWHMmDFkZmYC8Mknn3DjjTeyfPlyvvrqKwB2Ha3k8wMl3LxwJGOHhHS6zoUT4lk+eQgvbT7CyVo5hEEy+JGJ7gAx418zLCsvaIHc3FzLjEpPR0uuoC1fLbmCtny15Ara8tWSK/Tuu2vXLr788ktWrlxJUlISq1atsvToXnbZZaxevZo33niD999/H4Anv8olPtSPX88fafN6fzhvNEaj4MWNR5zu6mloyVdLrqAdX7uJrqIoekVRfq0oyipFUeZ0ee8+16tJJBKJRCK55557WLt2LcePH+f48eMcOHDA0qNr5qGHHmLlypXsK6hm9/EqbpiXjL+P3ub1hkUE8NNzhvHe9wWU1bcMxI8gkbiNnnp0XwYWAJXAs4qiPGX13o9daiWRSCQSiYQNGzbQ2trK4sWLLa/FxsbS2NhIVVUVQgjuuusuLrzwQqZOncqrW48R7OfFlecM6/G6N85Lpt0g+O/3ha7+ESQSt9LThhHThRATARRFeR54UVGUj4GfAcpAyEkkEolEcjazdOlSli5d2u312tpaAJ599lm+/vpramtr2Z+VzZenkrl2dhJBvj3vBzUiKpC5KVG8u6uAmxemoNfJZl0yOOmpR9fH/I0QokMIcROwH/gWCHK12GDjmgnXcM2Ea9ytoZrIyEgiIyPdraEKLbmCtny15Ara8tWSK2jLV0uu0NnXYDDw/vvvM378eD788MNez73tttvYu3cvL730EmFTl9HaWMdzNy5h1apVlmTYHlfPHE5JbQubc8v65KoFtOSrJVfQjq/ddXQVRfkP8B8hxPour98A/EsI4W3vonIdXYlkcPPyyy/z4IMPEhsbS0NDA+PHj+e///0vPj4+vZ/cR1avXs0LL7wAwMGDB5k4cSIAixYt4qmnnurpVInE4+no6OD999/n4YcfJjg4mL/85S8sXboURVHX0yqE4JLntuHrpePvS6J59NFHLRPYNkRtwDvIu9sWwG0dRqY/8jULUqP551VTXPBTSSQDQ0/r6MoNIyQSicOsXLmS9PR0rrvuOoxGI6mpqbz33nukp9usZ5xKcXExs2fP5sQJu1ubSySa47bbbuO5555DURT0er3qBNeadoNAr1Mwj0IwGo0YDAb8ov2Y8Y8Z3RJdgHvWZLDmh2L2/mUJAT49D3eQSDwVuWGEB/D8tud5ftvz7tZQTWVlJZWVle7WUIWWXEFbvvZcMzIymDLF1AOUn5+PEILU1FSnfOaPfvQj7rvvPubNm0dcXBxff/11p/czMzOZMGGCQ76eiJZcQVu+WnIFk+/999/PunXrSE9PJy0tjXfffZeWlhba2tpUfT3+RRZJf/qEkso6du3axUUXXURMTAzPPPMM6Q/ZvwFdPmkIze0GNhw6pdpVa7HViq+WXEE7vjLRHSDeznibtzPedreGarRSgEFbrqAtX3uuWVlZrFixgjFjxjBt2jT+/e9/ExISYuMKZ5g3bx6TJ0/u9mUrkQ0LC2Pr1q28+OKLvPPOO53ez8jIYPz48Q75eiJacgVt+WrJFUy+VVVVLFu2jF27dvHYY4/x5JNPsmbNGtXX+F/mSaYND8ero4krr7yShQsXcuTIEW6//Xb0dpYZAzgnKYKYYF/WZ5aqdtVabLXiqyVX0I6vfE4hkUgcorCwkJiYGA4ePAjAW2+9xapVq1i5ciXr1q2jrKyMlStXct5553U6b+vWrb1eu6mpidraWu644w7ANG4xLCys0zGZmZk2Z6FLJIMBRVFYtmwZy5YtU33O8YpGskvrue+iMURERDi0iL9Op7BkbCyf7Cumpd1g2S5YIhksqOrRVRQlXFGU6YqizDd/uVpMIpF4JgcPHmTs2LGWf0+aNImysjKbOzRZo6ZHNysri2nTpqHX6y2f1bX3tqceXYnkbGR9lqk39oLxcX06f+nYWJraDOw44vm9cxKJo/Tao3t6lYXbgQRMy4vNBHYAi1yrJpFIPJGMjAzGjBkDmGZ6v/nmmyxZssTyvnmHpq6o6dHNzMxk8uTJln8fPHiQ5cuXW/5tNBrJy8sjLS2tPz+CRDKoWJ9ZysSEUBLCA/p0/uyRkQT66PnqUCnnpsU42U4icS9qhi7cDpwD7BRCnKsoShrwV9dqDT523bzL3QoO4ayJRQOBllxBW762XDMyMti8eTPr1q1DURRmzpzJE088gRCCu+++27JDU1/IyMhgxowZln9nZmZ26r3Nz88nISEBX19f1b6eipZcQVu+WnKF/vlWNLRyoKiGO5b0/Rq+XnoWjI7m68NlPGwU6HrYPOJsiu1AoyVX0I6vmkS3RQjRoigKiqL4CiGyFUUZ7XIziUTikXSdHGbGeoem/Px8fvOb3zh87a7r4R49erTTv1NTUzl06JDD15VIBitbcssRAhaOju7XdZaOjeWLjFL2F9UwdXi4k+wkEvejJtEtUhQlDPgE2KAoSjVQ4lqts4Nt27ZRWlrK5Zdf7m4ViaTf3Hbbbdx2223u1pBIPJo1a9YQHh7OwoULnXK9TTnlRAX5MH5IaL+uc+7oGHSK6Xoy0ZUMJnqdjCaE+JEQokYI8SDwF+A14DJXiw02ZvxrBjP+ZXoku23bNpYsWcKKFStcupNUf8jNzXVo5q470ZIraMtXS66gLV8tuYK2fD3Z1dfXlxtuuIFzzz2XTZs2AX33NRgFW/LKmT8qusfhBmoIC/BhYkIYW3LLezzOk2NrCy35askVtOOrankxRVH0QCxw7PRLcUCBq6QGK63VrSQmJlJdXc3MmTO5+OKL2bhxIxs3bnS3Wjeqq6sBCA/3/Dt7LbmCtny15Ara8tWSK2jL19NdL7roIrKzs1m+fDmhoaG8/vrrDB8+3OHrHCiqoaapnQX9HLZgZn5qNM9/m0dNUxthAZ7ZCSOROIqaVRd+CzwAnAKMp18WwEQXeg1KdD46hg4dSmVlJYqiEBsbS0BA32bJuhp/f38AoqOdU4G6Ei25grZ8teQK2vLVkitoy9fTXZubm8nJycFgMBAfH9/ndmBTTjk6BeaPcs7PuSA1ime/yWNbfgUXTxzilGtKJO5G7aoLo4UQcoG9fuId6M327ds5evQojzzyCE8//TSPPPIIN910k7vVumF+HKGFWZVacgVt+WrJFbTlqyVX0JavJ7u+8cYbPPLII1x00UXs37+flJSUPj/+3ZxTxqRhYYQHOqf3dVJCGMF+XmzJLZeJrmTQoCbRLQRqXS0y2LlmwjWW75OTk3n11Ve55557KC4udqOVfSIjI92toBotuYK2fLXkCtry1ZIraMvXk11HjRrFjh07SElJsbzWF9/KhlYOFtfyu8XOS+a99DrmjYpic245QggUpfu4X0+OrS205KslV9COr5pE9yiwSVGUdUCr+UUhxFP2T5F05da5t3Z7LTk5meTkZDfY9I5WCjBoyxW05aslV9CWr5ZcQVu+nuw6Z86cbq/1xXdrXoVTlhXryvxR0XyRUUruqQZGxwV3e9+TY2sLLflqyRW046tmC+ACYAPgAwRbfUkkEolEInEDW3LLCQ/wZvzQ/i0r1pX5qdGW60skg4Fee3SFEHIXNCfw/LbnAds9u55IZaVpSLYW7ti05Ara8tWSK2jLV0uuMLC+R8ob2FdQw8maZowC4kP9mJoYxsjoIJuP07sy2GNrNAq25FUwd1Q0+n4uK9aVIWH+pMQEsSWvnBvnd3/iONhjawujUZBZUsuBoloq6lvx8dIxPCKA9KRw4kP9naV6VsZ2IFCz6kIq8Acgyfp4IcQi12kNPt7OeBuQia4r0JIraMtXS66gLV8tuYLrfds6jKzZV8Tr246Tc6re5jGpsUFcP3cEP5magJfe/gPJwR7bw6V1VDS0Mn9UlEt8FqRG8/bOEzS3GfD30Xd6b7DH1prmNgP/3n6M/+w4QUltS7f3FQVmjojkmlmJXDg+TtVNmKtc3YFWfNWM0f0AeAl4FTC4VkcikUgkZxtbcsv588cZFNc0M35oCH+9dBxzUiIZFhGAgkJxTTPb8iv47/eF3PVRBq9uPcaqy8YzM9mzG1hXsSW3AjgzzMDZzE+N5rVtx9h5rJJzR8e45DM8nf9lnOSBz7Ioq29lbkoUf7xgNNNHRBIX4ke7wUh+WQPfZpfx0Q9F3PLOD0wYGsoDl4wlPSnC3eqSLqhJdDuEEP9yuYmrKNwN3z0DFfkQGAXRo2HSz2DYdHeb2cbsezIDfAJgxs2Qfq27rWyjtdjueQN2vggdLRCa4Nm+hbvhwLtQnguNFRA1Cubc7pmuoK3YQmffuAmeH9t9b4GhDfQ+MGWF59YJ4FBsG1o7eOSLw7y7q4CUmCDeuO4cFqRGd+sZGxEVyIioQK6eMZwvs0p55ItsfrZ6JzfOS+YP543Gx0vNdBMbaLS+vaC6nYWBXsTmlrvEd8aICHy9dGzJLe97oqu12J6ub401hVS06thct5i4IT/mhV9M5Zwuyatep2f80FDGDw1l5bkpfLKvmCe/yuGKl3dw7ewk/nj+aAJ8VO3H1XdfLbW9bkYRQvR8gKI8CJQBa+i86kKVvXPS09PFnj17nKToINYJQvUJqCuyfVxEMui8XZpAlNW1sL+whiPljTy0/TKMAq4b+y6h/t4MjwggNTaIiafW4H3gHVMjVncSmiq6X8g/HHxDBrRBtrkOpXXF1dECjWW2Tw6KAy/fAfO1u2amdYJgL7ZgKgv+4XYTCCEERgE6hX4/mrLra11xGdqg+pjtkz0lttZloaUWWu2sQBgUB/5hA9bI5ebmUtnQSq1PNMcrGymtbSG29gDzyt4ltqMIvd6b4PYKvFqr6PabDIqFoJgBSyZ7jW1FPjTXQmNp95ODh4DOa0ATCLvlgKfW2QAAIABJREFU1lzf1hScLgt13U+2Ud/uPFrJHz88QFF1MzfOS+bOpan4eeu7n2uDxtMJ8ju7CkhPDOfFq6cSE+zXsyt0TsIFUHui+8X9wsEvxHLD1jb+p+wzplJS24yPXs/ouGBSYoJUeaqlV9/makt9K8z/UTCV4eAh4BvcY1u28I2FAGy6dpNqp1++vpvC6ia+/f1C9a691beBsRAcAx1tqtpeIQSZxXUcrWgAICkykPFDQx0al+xwbM3fKCD8wtH5qWt7G1s7+Mf6bN7ccYLEyACevGKSw727qurb9mZosjNRcADyGlW+bkBRlL1CiHSb76lIdG21uEIIYXddLLcluhseMBWGvhCd1u8GQwjBwaJaPjtQwpbccvLKGizvBft6EeCrp8MgSG7NYjlbmEUGyfoyzC2u6j/duAmQcM7A3cHteQO2Pgm1fdz1OWw4zP39wNzNmxveI5uh+qjDp7eHjuBE2Dls9F3Ml7XDOVnbQkVDK60dpk0BQ/y8GBLmz/CIACYNC2PK8DCmDg9X3UB3w1zZVuT07Xy3lIUnoLbQ8XODYk2uTq6AhRD8UFDD5wdK2JhTxonKJgCu0n3DDT7rSabY9Ld1uqpTfa8SngwjFw5sbHe+ABV92DzARbG1S+Fu+PoBOLHd4VMFUO6bxFP1i9kRfglPXDGpW4+ZWj47UMKfPjxAmL8PL10zjcnDwmy7fvcMFO6BxlMOeQIYBXxvTOMfHVfxgzA16BOGhvLnZWnMHumCMbJm34Jd9m/Oe8JGW9aXRPf1bcf429pDbP3TuQyLsLNzWz/rW3u+Qgg+O1DCk1/lUlDV1OnwyEAfrp6ZyC9nJxHh6EYZltjutp8s9oSKtmzX0Ur+8OEBiqub+fWCkfxuySh8vfrQPphjW7gHTmU4fr5KX6dRuBuOb4WkeW7pWe5XotsX3JLobnkCvl3V/+vEToCLn3LoF1VU3cSn+0v4+IcijpQ34qPXMXNkJHNGRnLOiAhSYoII8fO2/JGJ7C8wV6O22lzzb0RVe5w4G5b81TUFq78Jbldc/UfXnxsdrHpKMO11fdhnPF8PuZnGmKkE+XpjMBqpaW6nuLqZYxWNHK1oBMDPW8eckVEsHhPLorQY4kL97H3EGZwdWxRTkrPUBYuk9LfhtUXaxf1OyrJL6/h0fwmfHyihqLoZHy8d81KiuDSyiCVHHyOg+nCPf0PWv++ek1/nxFYIgcFoWoTf0iPV34bXFn2oE+pa2sk7VU95fRutHQaCfL2ICfZjZExg50ew/UhwzVj3SBrDk9H382biUEkdN729h7L6Vv526Tiumj78jOt3z0D2uj67WnxP0xQ3g03DbuHvmSEUVTdzy8KR/OG80eicsfKByth269G1h9XNz8Jv/gQ4lugeKW9g8ZObeeiy8Vw9M7H7Af2sb7txuu1tiZvGHz44wNqDJxk/NIRrZ49gUoJpCbVDJ+v4bH8J32SXEeTrxR1LU/nlrMQeJyYCqjsUVLe9vbRlDa0dPLzuEP+3u5C0uGCevnIyY+JDervqGVTG1lm+/cJSbneYjPS+cO3aAU92+9ujGwDcCQwXQtykKMooTFsCr7V3jjsSXcMbl6I7vtnyC7duxMCUuCg2Kga7BaSXnrLqxjb+l1nKp/uL2XXMNIpjelIEP5o6lGUT4gn19z5zsIoKTHT5R73wJ0jXbPHrtSDbadxaOwzklzWQfbKevLIGyupaKG9opaXdgKIo+Oh1xIX6MSTMn9GxwUxNDCO+LgPW3tn3u8je6HIzYTAKjlU0kFVSR96pBsrrW6lsbKXDKPDSKfh564kN8SM+1I/k6EBSY4MZGuZvGkbQhyTM4BuOrrX6zAs2kp3T7YgJO7GtaWpjX0ENm3PL+frwKYqqmwEYGx/C4jExnJsWw6SEsM6P2Qp3q46t6OrRBaXLsQCKMys0FYmC6PJ9gxJMkKjv8e9MTWxtfpYQ5JU18EXGSb7IOEnuqQb0OoU5KVFcOmkIF4YVELh5FRSoS8IEYPAKQt/R0E3MZsxVxtZoFByrbGR/QQ0HimrIPllPcU0zp/6/vTuPj6q+9z/++mYne0ggCQEJOwhIUJRdgyhasVprlWpdKNpW27rU/ry3y23r9fa69/bqtbWVatPailQrVkWrVAXqgpQlsgQIi8iWBJJAFshCku/vj5nESTKTzGSbJe/n4zEPkjMz53zy4XvO+Zxzvt9zKmtpaHJkbG7MPr4V8TqzGtZ5v45HJ3nuIuJOJ1ep9hyt5sUNB3lv11EKS6rdfibMwNj0BO5M+oALjr9EbOUe7688RSVAvePuCZ3vkLt3MFF+sp47l23m/T2lLJo2jJ/Hv0jkuie8n4Ez1raXrj3F2zhsJk9H3cTD25P46rnDePDLk7vercnHqzpNQKVJItl63xZyY2MgaSirv7XR6+9Ya5n7yHtMyExk6U0u9cOGPFj7qOdugW25tINOlwnsiJzMf1RfzfwFX+S2C0a57aawu6SKn6/cwZrCY4zPSOC/r5rMOcNT2s/w4HpYeQ8Uu9/etv3/BjADBkKNx56ZrXVyJeWdHSX8+1+3Ullzmjvnj+bWuSM7vvrXQW7b1gjgrGto00472oZ14USeRx3VNdOWwOW/7P4yfNDdQnc5sBG4yVo7yRgzAPjIWpvj6Tv+KHRL1/yW1HcdR60Y58YgKpOT0RmUx41gfeIlHK2qY3bJn8k4fYgI28iI8OJWxY1rkWxcp86+i7p5P2V3STUf7S3j/T2lfLCnlIYmy8hBcXwpJ4urpma1v7zj0hCmO3emH0d46Nvl7HNnowZwYOzN/KF2Hp998h7X1L7MxLD9JIXXkWA/31i0bcTN/4vVCaNYn76IFWEXs6u4in2lJ2l07lwjww2DE2JIS4gmNjIci6WuoYniiloyq7bw5bB/ksNuzow4wO6yRgwwNtXNStncZ9h10BG49NU7CPXVHW4sLHAqNovXE7/Kg0dncOLUaQDCwwypcVGkxkcTFW443Wg5Vd9ASWUdNac/v+nHrKi93BGzkun169hd5pg+NjW89YGOU31sBrVhsRwOH8qz9gpWlGYxxe7iu9ErmRB1lKSwOgbUFnf5YAIcO4U9R6v5x46jvLfzKBsPHKexyZIaF8W52QNZFP4OMw79nphTRyhsk9u2xWJJ+BBqGsMobMzg6YbLAbg6/J+MizhCFmUMoIYkqlq+0NyGrUvDrUnIJnrsPMJzrvd9o9ZS4L5BYVkD0LoduMZ7vCmeahtDgc3mj2FXUpoyhXMj9pBb8w5DTn9G+ulDDOQExsPBRPO/DVkziFhwP2HDp7e8f6q+gYPlNewsrmT9p+V8tLeMfaUnMQbOHT6Qy6dkctnkTNJ2Lmu55F/o0hbccteHbUMeTet+Re2pk9TU1TGwwXnAZGjXngy02rnZoedyrLqOgiOVbD5wgk0HjpN/8ARVtY68xUWFMyEzkWEDY8lIimFkzXZm7nuCrKr8lljHucltS5ra9h937QdZddS7S/Ftdm4bPyvnN2v2saqghMhww3kjBjJrVBrjMxLISIohOiKc6roGiitqCNv0B3L2P8OgxqOOdmtat9tW64yb/uMnP/wdlR89S21VGcPt59tbj+taN7pgNH72MXte+W9SSjdx/MQJoHVu2y3HpT/24dGLeO4vfyHnwB+ZEvEZA2Ms0bUdHzhboDRmBL+ovJDB827jnot97KfoctDbabuNT4fU0VQljOLmjSNZuPBL3BKzxtEWao5DecfdBnJxXH1aPfvHPh1M/HjFVl7ZfJj8JcmOA4cDH1N4sKTjWN31H3ftd9502mO8zSeorIGwTg7UrLW8tb2Y/3ytgKKKWq477wx+cOl4kmKdV09X/QwOfOgxt80nEo41JdM0cCQZo6ZgmreXrn1iO9mXtfBwlar8ZD0/eWUbK7cWkZU8gO9eOJorc4Z8fqWkuYvCnvco3Lu3XayuxfhxG09jZDx1cZkwaBx1ExcRHRFGwsZfYcr3UNMYTnhNKalNzhM5ng7WunNCxOVqpLvcWsBM+zpc3oNn+73Q3UJ3g7V2mjFms7V2qnPaJ9baKZ6+449C11rLrjeeZPTBl4lIHtLhhvJUfQM7iiop3raWlD0vM+zEeoY2FbW8725nXNKUTH7TaJ5uvJyKtKnMn5DOFVOGMHFIYvsjeTdH6B4L3Q5W5qYmy4bPjrNyyxE+2FvGtNK/8fXwNxkddsTxSLs2Ow3X/8oDJoN9CdM4MvxLJI2dzfiMRLJTY9tf4nEW49blqMxASwMeMzDc0SkfsIlnEH6+DytHm8vzrjtG67JHrwwfSFXaVBpm3kHW5AuIdHMZylpLRc1pirevJfnDB0g//vmZCddCt3m+TcDepiyebbyUF5rmAzAgMpycYcmcm53Scra15ZKjL2dVkod3OjjhxKl6tqxbRfKmX5NZvZU059kXY9rk1hnrjqbh5NvRvMYFVA46m1HOM9djBsczJj2e4alxrfPijNe6xOsutxY4njaNAV/4ObGjZnr+m5o3toc2tDr74bohc+2zeNgO4sUB11Az+UamZacw9YwUBidEuz+rdXA9p9/6CRGH1rWL1TXeJuBTk8XzLORFexFVdQ0tn4mPjuCc4SlcNGEwl0zMYHDFFrd9A93u1Hzsa1u77hnq3n+ShOp97Qp0161lE7CvKYtnGhxtrPns59Qzkpk6LIUpw5IZPTjecUbKTVcVT7ndbbKpzziH4RcuIWnsnI6D9bL/qQVqYrP4Q/jVPHxsBsmxkdw0M5ubZw4nNT66/Tw7yW3z/9mJ8BTKU6ZQNuV2YkbOIMwYKmtPs7Ooio8/LeO9nceob2xi/vjB/HhKFSMPvwr71nRamAHe74zbrLvWGWvzwWRHVxBOnKrn9x/s5+m1+7BY7pw/hlvnjHTcxcGL3Db/v+1rzCBm3DyyLljSeRtz08/dbbt1U/Q///EBfrRiK/+453xGD3Z5QKmH9bdZS6FLnOPAKT7dqzEp2197nIj1v2Fs+JGWHHosyn0Z59Icr0tb8Hj1qpODn+q6Bv53VSH5H73NtyNfZ1r0YRLqPMfbXOCubxzPH+MW882vXee+b7crX7qaeTgh8uHeUh58YydbD1eQGBPBkuHHuL7yWQZ1ti8zcCwqm/LJtzDiku+0u6+xO8fXPg3v/4Kk+mLHNsxTwevtgaWHdaFtnQCACccs+XvQdV34EJgPfGCtPdsYMwpYZq31+Ff49a4LXVT/8TPYtb8g6uThlmnuzg4CmOYzFzGJjlHRxjh+bqh3jDqubj9Kul2h24U+imXVdWw7UknN3o8YsWspmVXbSGgsbxVrc7ytGnXzWayIqNbxdnBGaJfLCldINj+sW8wnZhzTRwxkwZnpzBqdxqhB8R2Ofq2ua2DjZ8fZu+ld5u56gNFN+2kO1v3Zcz4/0+IaZ/PPGDixv91yCssasXy+UzuSOJUPsu/gRGoOsVHhDE2J5YzUWM4YGOu2iG7F14Errm2hof7zHDfWQXXnuS2NG8vWnJ8RdsZ5jEyLJytlgG9POuqkW0zzGZImoCI8haa4wSRENBEZFUNYrTOvYeEeC4+W3A4Mb+m3XDjp+5w1c4HvI8/bdIVoe/ayVV/IsAQaIuOx0UkMaKomMjyMsAFJnea21U6tu904Dq6n8e2fEXaw9UFgM9d46wZkEBEZSURYWPu2UFcFtS5dZdzFCjSdMYvN4+7m8V0prC08RlREGFflZLFkzgjGZXjx1PUO+vW59us8FZVGdHIGEXWV7dexTtoCwJjUcCyG9wdfz30117Lv2Em3n89IjOGyyZlcfU4WE4e0eUytLweWzVeQ2m5vO8mta7vdmXQ+1dO+TfLYOc6uUidZW3iM17cc4WR9I5dOzOA/Lp/A0BQPg646KHTa7R8GjoTGhtb7hea2UHvC7V0pWrcFz904bntuI1sOneCDH1zouauEm21Cq0LXVUfb28bT2Koj7bpxtCt0uztOZEMedasfJarqkBf9jj3se6uOYpu31y5XuaD19vZYRBb/qJvACjuXnJkLuOuiscRH+3AbMF/6qLvJrW2o51RjGKcrS0hsLG93IF1Y1oi1MDbNsS+rHnwesQv/i4jhM7yP0cXp/euo+uudpFTt6rxfd/Jw9+tYY73bmgZgV2kjOK/y2Lh0wob14YDYNrpb6C4AfgycCbwNzAa+bq19z9N3grHQbdHdUfAeTG+ohrBIPj7z6p5tCD09IMCpsKwREoYw9ss/ounsm/nk0AlWFZTwdkEJe5x3k4iLctxqZ0jyAJJjHTv5U/UNlFXXs/todcto2aiIMKaPGMg349Yy/XCeY4PW07ECY8+e27MD83p8wJiDa257bHCAL33RmrXZ4rXrDmMdsTYZiD/zYuIuvIeB4+b2TKxdGAXvDUdbMIy94p6eG5jXAwOw3Glpt7OvbLdN2HO0imc/2M/Lmw5Re7qJuWPSWDJ7BOeP7eSRr84zZad3ryai4lPHtDY7/m7FmzaOseec3+rseMWp0+wvO0lJpePJUXHREYweHE96oheDMns5t0MmzmRp9M38Zm9qy51TmsVHR7BgYjrfmDvS+4FCnWxvO+pT32m8icMYO/NSj1ceTjc2cfZ/rWLh5EweuvqszmfqcmDpsdDtaqz03Pa2sclyxZPv85Xjv2OxfaVL+fOkeRtWZAfy96SvsDLqEq6YMoRb545kRFo3ctEL7bb5SgTAuDNzeq4vLWA3/J6adx9lwKnD3g1k7Gx+znkUljVienpf1kXdvuuCMSYVmIEjN+ustR12XgrqQrdZjzZkw5NDZ8L4hb3zCGA3l4G6ZdB4ysbdCFOvc/tov/2lJ9n42XG2HDrBrpIqSirrOHGqnsYmy4CocAbGRTMyLY4JmQlMHprMedkDW19u6eECsizrYpj+LVLPurhH5tdOTx5MJJ9B2aRvecxtt3XzQK1tf+FjmfOJmHl7cOQ2ZSRlg6bDpKt7J96e3CbEp1OWdFan7fb4yXqeX3+AP3y4n6NVdQxKiGbBmemcmz2QiUMSGZwQQ3RkGJW1p9lfeooth07w7s6jfPxpOdfwD+4Z8DqDGh0HE90qINInUzb7Z5B1du+02x4++ClLnQYX/KAlt7WnG9l+pIKiilrCjWFoSixjM+K7d9unntreerlN+HBPKdf/7mN+e+M5XDIxw6d4c/98KdRWdqnQdb0aYGif2+567qP9/ORv23ny+qlcnnKowy4YvnB0UTBszLyefWd+hzNHDGVCZkLnd2jwRQ/d2aNZ2YBRcM4SUi/qhToBHGfP33uUyJOH3I6b6Eyr8yS9vS/zUXfP6L5jrZ3f2TRXIVHoNuvOzq2v78MJXS90+vo+nNC9nZs/7hvanQ1wb94Gzp3u5NaLPsg9qru57YF7YPukO4VOF7tT1Dc0saqghJVbj7B61zFO1Xt+GvuoQXFcMjGDa6cNIzstrnsHln2dW+h6vH19T2lotb1t14Whs+/62Bb+87Xt/PnjA+T/9GKfn7qVm5cLdVWsThrXpfsJ72vMwI48n9EXfaNHc1tWXce8x1YzeWgSf7pleuvuGF3d9zoH7vXp08KCaV8GcHA9NW/+BzFHPnb83lEZ2PbKX1/vy7zUpULXGBMDxALvAbl8/ucmAm9aayd4WmBIFbrNWj0B6GD7/kyufbEC4TGdrqNcI6Ja9xNzjT1QHs3o+sQid/2Emn8OlNy6awttcxwoj8Jtm1t3bcHLJxX1OtfRzu7+/wMxt813QXC3LWie1oMHDg2NTRSWVFNYUtXyMJOEmAiykgcwKSvJc5eBttsET+tYsLWFQHiEszPW6sM72X+8gTPiTpM4ILLH2oK1lvMffY8xgxN4dvG5PofX7oER3raF8Cjs1BuZveoMzhySxO9udltHdNmPVmzlL/86yN/vntt6cJ0rb/a9wbIvc20LgRDvwfXY/OepPVJAQ3UptTac6NNVYAw2KpEB1jE+wiQNC4ztbQe6WujeBdwNDAEO83mhWwkstdY+6WmBIVnodtOT7zvS1StdF3pBWVkZQEBckuhMMMUKwRVvMMUKwRVvMMUKwRWvv2K11rLo6XXsO1bN6nvneT3QqbN4C0uqWPDLtfz3VZP42vThPsfVlSejubrv1e0sW3+AzT+9mJqqig5j9da+Y9Vc/Mu13DhjOPddMbFb8+qI2m3vCaR4Oyp0PXZWsdY+bq0dAfw/a+1Ia+0I52tKR0WuuPfc1ud4butz/g7Da2VlZS2NONAFU6wQXPEGU6wQXPEGU6wQXPH6K1ZjDD+6bAKl1fU8vdb7bi2dxbuqwHE5fP749G7H2BULJqZT19DEml3Heiy3/7OqkOiIML4zb3QPROiZ2m3vCZZ4O+2Vba39P2PMLGPM9caYm5pffRGciIhIMMkZlszCszJZunYfR513ouiuVQUlTM5K8u7x4r3gvOyBpMRG8tZ297eZ8tW2wxW8vqWIW+aMYFBCdOdfEOmGTgtdY8xzwGPAHOBc56tnO+qIiIiEiHsXjON0YxNPvLu72/M6UHaK/IMnWHhWZg9E1jUR4WHMn5DOOzuPUt/mNm1d8chbu0iOjeQb54/sgehEOubNfTamAbOttd+21t7hfN3Z24GJiIgEo+y0OK477wxeWH+Q/aXuH6jhrde2HAHgi1OG9ERoXXbpxAyqahvY9Fn7B3T44qO9ZawtPMa3c0eRGBPZQ9GJeObN7cVeBO601hZ1+EEXGowmIiL92dGqWi54ZDXzJwzmyevP7vJ8FvxyDUkDInnxtlldnkd3B6OB4xZ30x/4B7NGp/GrLv491lqu+vWHFFfUsvreXGIiu3AfYxE3ujQYzUUaUGCMecsY82rzq2dDFBERCR2DE2K4Zc4IXt9SxLbDFV2ax87iSgpLqrkiJ6uHo/NdVEQYV+ZksaqghIpTp7s0j7cLSsg/eIK7LxqjIlf6jDeF7n3Al4AHgF+4vERERMSDb14wkpTYSB7++84uff+VzUcIDzNcNsmHJ6H1oqvPHkp9Q1NLdwpfNDQ28ehbuxg5KI6vnDO0F6ITcc+buy6scX0BDcC1vR9aaJn+1HSmPzXd32F4rbCwkMLCQn+H4ZVgihWCK95gihWCK95gihWCK95AiTUxJpLvzBvNP3eX8uGeUo+fcxdvXUMjL244yIXjB5MaHxh3JpiUlchQc4I/vOn7k0Jf3nyYPUeruXfBuJ59DG8nAqUteCOYYoXgider1maMyTHGPGKM2Q/8HNjRq1GJiIiEgBtmDGdIUgwP/30nnY2JcfXG1iLKTtZz00zfHxDRW4wxXDo5g4KiKp+6Y9TUN/K/qwqZMjSJSwPk7LT0Hx4LXWPMWGPMT40xO4AngYM4Bq/N0wMjREREOhcTGc7dF4/lk0MVrNzq3Zhuay15H+xnZFocs0el9XKEvvnCpAwGRIax9J/ePxDjV+/t4UhFLT+6bALGmM6/INKDOjqjuxOYD3zRWjvHWvt/QGPfhCUiIhIarj57KGdmJnL/awVU1HQ+kGt14TE+OVTBrXNHEhYWWIVhQkwkl581hNe3FHGw/FSnn997rJqn1+7jqqlZTB/p/0fFSv/TUaF7NVAMvGeMWWqMmQ8E1hoXRG6cfCM3Tr7R32F4LTU1NSCeX+2NYIoVgiveYIoVgiveYIoVgiveQIs1PMzwyFfOouxkPQ++0b7nn2u8TU2WX64qZNjAAVwzLfAGbaWmpvKNBWcREWZ45K1dHX62qcnyk1e2ER0Rxg8vG99HEbYWaG2hI8EUKwRPvBGe3rDWrgBWGGPicNx14XtAujHmKWCFtfbtPooxJHx3znf9HYJPgqHxNgumWCG44g2mWCG44g2mWCG44g3EWCdlJXHr3BH8ds0+FkxM58Lx6S3vucb75/UH2HKogl9cM4XIPhy05S1HcQPfOv8kT7y7hxtnDOe8EQPdfnbpP/fx4d4yHrhqMoMT/PP44kBsC54EU6wQPPF6c9eFk9baP1trLweGAvnAD3o9MhERkRDyvYvGcmZmIncty2d3SVW79/cdq+ahN3Ywd0waXz7b//fO7chtuaPISh7A95bnU36yvt377+4s4dG3dvGFSRlcd94wP0Qo4uDT4aK1ttxa+1tr7YW9FVCoevL9J3ny/eAZw1dWVkZZWZm/w/BKMMUKwRVvMMUKwRVvMMUKwRVvoMYaExnO0punER0ZzqKn17H+03LAEe/mwgPc8LuPiYkM58EvTw7YQVvNuY2NiuCpG87mWFUdS/L+xdHK2pbP/C3/MLf/aRMTMhN55Ctn+fVvCdS24E4wxQrBE6/HrgvSs57b+hwQPF0YmhtvMFyaCKZYIbjiDaZYIbjiDaZYIbjiDeRYs5IH8NJtM7np2fVc+9uPmDsmjaYTR/hobykJ6cNZ9o0ZDE2J9XeYHrnm9qyhyTxx3VS+tzyfS/53LfPGDeZA+Sk2fHacc4ansPSmaSTERAZMvIEumGKF4IlXha6IiEgfyk6LY+Wdc3j2/f28+slhKooruXB8OvffNJchyQP8HZ5PLp2UQXbaLB7/x27W7SsjOTaK/1g4gcWzsvv0wRAinqjQFRER6WMJMZHcddEY7rpoTMvTpYKtyG02PiORp244x99hiLilwy0RERERCUnGl0cSej1TY44Bn/X4jL2TBnh+qLi0pXz5RvnyjfLlG+XLN8qX75Qz3yhfvvFXvoZbawe5e6NXCl1/MsZssNZO83ccwUL58o3y5RvlyzfKl2+UL98pZ75RvnwTiPlS1wURERERCUkqdEVEREQkJIViofu0vwMIMsqXb5Qv3yhfvlG+fKN8+U45843y5ZuAy1fI9dEVEREREYHQPKMrIiIiIqJCV0RERERCkwpdEREREQlJKnRFREREJCSp0BURERGRkKRCV0RERERCkgpdEREREQlJEb0x07S0NJudnd0bs+5xp07tAiA2dlyvLmdXmWM541J7dzkigaSv1i8R8Uz7Hwl1GzduLLXWDnL3Xq8UutnZ2WzYsKE3Zt3jNm/OBWAQFtFIAAAPFklEQVTq1NW9upzcPMdyVi/u3eWIBJK+Wr9ExDPtfyTUGWM+8/Seui6IiIiISEhSoSsiIiIiIalXui4Ek766pKpLRiIiIiJ9S2d0RURERCQkqdAVERERkZDU7wvdzZtzW0aG96bcvNyWka8iIiIi0vv6faErIiIiIqFJha6IiIiIhCQVuiIiIiISkvr97cUyMhb3yXIW5/TNckRERETEod8XupmZi/tkOSp0RURERPqWui6IiIiISEjq94VuUVEeRUV5vb6cvPw88vJ7fzkiIiIi4tDvC93i4jyKi/N6fTkqdEVERET6Vr8vdEVEREQkNKnQFREREZGQpEJXREREREJSv7+92NSpq/tkOasX981yRERERMRBZ3RFREREJCSp0BURERGRkNTvC93Nm3PZvDm315eTm5dLbl7vL0dEREREHPp9oSsiIiIioUmFroiIiIiEJBW6Pjh06BDLly/3dxgiIiIi4oV+f3uxjIzFXn/2nXfeoaCggEWLFvm8nMU53i9HRERERLqv3xe6mZmLvfrc+++/zz333ENycjJvvfUWK1asYMSIEV4vR4WuiIiISN9S1wUvzZkzh3PPPZe//e1v5Ofn+1TkiogEmxUrVmCMYefOnS3T1H1LRIJNvy90i4ryKCrK8+qzu3btYty4cS2/33///Xz66adefTcvP4+8fO+WIyLib8uWLWPatGm88MILLdPeeecdNm3a5MeoRER80+8L3eLiPIqL8zr9XFlZGUlJSURGRlJTU8Ptt9/OCy+8wB133EFlZWWn31ehKyLBorq6mjVr1vDMM8+wbNky4PPuWy+99BI5OTleH+SLiPhTv++j661PP/2UIUOGAPDrX/+aG2+8kdraWqZMmcKWLVuYM2eOnyMUEekZr7zyChdddBFnnXUWcXFxbNq0qaX71mOPPcakSZP8HaKIiFf6/Rldb40fP57S0lImTZrEypUrSUtLY9iwYWzdupWJEyf6OzwRkR6zbNkyrr32WgCuvfbalrO6bbtviYgEOhW6XoqPj2f9+vVs27aN22+/nVtuuYUPPviAefPmkZKS4u/wRER6RFlZGevXr+fSSy8FYNGiRSxfvrxV9y0RkWDR77suTJ262ufvXHPNNWzYsIHvf//7DB482KvvrF7s+3JERPraSy+9xGWXXUZ0dDQAI0aMICMjg4KCgpbuWyIiwUJndN04fvw4hw8f7vAzDz/8sMci98SJExw6dKg3QhMJeo2NjezYscPfYYgHy5Yt47XXXiM7O7vltWPHDp599tmW7lsffvihv8MUD5qamigoKPB3GCIBQ4Wui/Lycn76058yZswYXnvttS7P55NPPiEnJ4dbb71VI5NFnBobG3n++eeZOHEi//Zv/+bvcMSD1atXU15ezv79+1teVVVV/P73v2/pvjVr1ix/hykeVFRUcMUVV3DhhReydu1af4cj4nfGWtvjM502bZrdsGFDj8+3N2zenEtFxWmWLs3m9ddfZ9asWSxatIiMjIxuzbeqqooVK1awcuVKZs6cSemcUuKHxqsLg/QrmzfnAvDmmwt46qmnSExM5IYbbiAnJwdjjH+DEwlRDQ0NvPvuuyxbtoz09HTqZ9cz+NzB2v9IyDLGbLTWTnP3Xr/vowuwbVslL730ErGxsVRWVra6QXp31NbWEhcXx6pVqxgaPZT4ofE9Ml+RYGKt5fHHH+f48eOkpqayevVq1qxZ4++wREJaY2MjiYmJbNmyhYSaBAaf6914EpFQo0IXmD07lfLycn7zm9/w6KOPMnfuXB588EFGjx7dpfmVl5dz33338ac//YklS5Zw7733sujNRT0ctUhwMMZQXFzMG2+8wX333ceRI0d44IEH+OIXv+jv0ERCTlNTE0888QQPP/wwM2fOZPny5dydf7e/wxLxG/XRdYqLi+P73/8+e/fuZcaMGXz00UddnldBQQGxsbHs2LGDxx57jPT09B6MVCT4GGNYuHAh69ev56GHHuLdd9/1d0giIamiooLt27fz5ptv8vLLL5OTk+PvkET8qt+f0c3IWNzq9+aCtzvmzJnT7klpi3MWu/+wSD/SXPAuXLjQ36GIhKSUlBSWLl3q7zBEAka/L3QzMxf3yXJU6IqIiIj0LXVdEBEREZGQ1O8L3aKiPIqK8np9OXn5eeTl9/5yRERERMSh3xe6xcV5FBfn9fpyVOiKiIiI9K1+X+iKiIiISGhSoSsiIiIiIUmFroiIiIiEpH5/e7GpU1f3yXL0jHERERGRvqUzuiIiIiISklToioiIiEhI6veF7ubNuWzenNvry8nNyyU3r/eXIyIiIiIO/b7QFREREZHQpEJXREREREKSCl0RERERCUn9/vZiGRmL+2Q5i3P6ZjkiIiIi4tDvC93MzMV9shwVuiIiIiJ9S10XRERERCQk9ftCt6goj6KivF5fTl5+Hnn5vb8cEREREXHo94VucXEexcV5vb4cFboiIiIifavfF7oiIiIiEppU6IqIiIhISFKhKyIiIiIhyVhre36mxhwDPuvxGXsnDSj107KDkfLlG+XLN8qXb5Qv3yhfvlPOfKN8+cZf+RpurR3k7o1eKXT9yRizwVo7zd9xBAvlyzfKl2+UL98oX75RvnynnPlG+fJNIOZLXRdEREREJCSp0BURERGRkBSKhe7T/g4gyChfvlG+fKN8+Ub58o3y5TvlzDfKl28CLl8h10dXRERERARC84yuiIiIiEjoFLrGmEuNMbuMMXuMMT/wdzyBxhgzzBjznjFmhzFmuzHmLuf0+4wxh40x+c7XZf6ONVAYY/YbY7Y687LBOW2gMWaVMWa3898Uf8cZKIwx41zaUb4xptIYc7fa2OeMMc8aY44aY7a5THPbpozDE85t2hZjzNn+i9w/POTrUWPMTmdOVhhjkp3Ts40xNS7t7Df+i9w/POTL4/pnjPmhs33tMsZc4p+o/cdDvpa75Gq/MSbfOV3ty3MdEdDbsJDoumCMCQcKgYuBQ8C/gOustQV+DSyAGGMygUxr7SZjTAKwEfgScC1Qba19zK8BBiBjzH5gmrW21GXaI0C5tfYh5wFVirX23/0VY6ByrpOHgenA11EbA8AYcz5QDfzRWjvJOc1tm3IWJHcAl+HI4+PW2un+it0fPORrAfCutbbBGPMwgDNf2cDrzZ/rjzzk6z7crH/GmDOBZcB5wBDgH8BYa21jnwbtR+7y1eb9XwAV1tr71b46rCMWE8DbsFA5o3sesMdau89aWw+8AFzp55gCirW2yFq7yflzFbADyPJvVEHpSuAPzp//gGMll/bmA3uttf56cExAstauBcrbTPbUpq7EsQO21tp1QLJzR9NvuMuXtfZta22D89d1wNA+DyxAeWhfnlwJvGCtrbPWfgrswbEv7Tc6ypcxxuA4EbSsT4MKYB3UEQG9DQuVQjcLOOjy+yFUxHnkPDKdCnzsnPRd52WFZ3UpvhULvG2M2WiM+aZzWrq1tggcKz0w2G/RBbav0noHoTbmmac2pe1a55YAb7r8PsIYs9kYs8YYM9dfQQUgd+uf2lfH5gIl1trdLtPUvpza1BEBvQ0LlULXuJkW/H0yeoExJh74K3C3tbYSeAoYBeQARcAv/BheoJltrT0b+ALwHedlLumEMSYKuAJ40TlJbaxrtF3rgDHmx0AD8GfnpCLgDGvtVOAe4HljTKK/4gsgntY/ta+OXUfrg3W1Lyc3dYTHj7qZ1udtLFQK3UPAMJffhwJH/BRLwDLGROJonH+21r4MYK0tsdY2WmubgKX0s0tXHbHWHnH+exRYgSM3Jc2XXpz/HvVfhAHrC8Ama20JqI15wVOb0nbNA2PMzcDlwNesc6CJ8xJ8mfPnjcBeYKz/ogwMHax/al8eGGMigC8Dy5unqX05uKsjCPBtWKgUuv8CxhhjRjjPJn0VeNXPMQUUZ3+jZ4Ad1tr/cZnu2l/mKmBb2+/2R8aYOGdne4wxccACHLl5FbjZ+bGbgb/5J8KA1upMiNpYpzy1qVeBm5wjl2fgGBRT5I8AA4kx5lLg34ErrLWnXKYPcg6CxBgzEhgD7PNPlIGjg/XvVeCrxphoY8wIHPla39fxBaiLgJ3W2kPNE9S+PNcRBPg2LKKvF9gbnKNvvwu8BYQDz1prt/s5rEAzG7gR2Np8uxTgR8B1xpgcHJcT9gPf8k94AScdWOFYr4kAnrfW/t0Y8y/gL8aYW4ADwDV+jDHgGGNicdz9xLUdPaI25mCMWQbkAmnGmEPAz4CHcN+m3sAxWnkPcArH3Sv6FQ/5+iEQDaxyrp/rrLW3AecD9xtjGoBG4DZrrbcDs0KCh3zlulv/rLXbjTF/AQpwdAH5Tn+64wK4z5e19hnajzEAtS/wXEcE9DYsJG4vJiIiIiLSVqh0XRARERERaUWFroiIiIiEJBW6IiIiIhKSVOiKiIiISEhSoSsiIiIiIUmFroiIiIiEJBW6IiJeMsakGmPyna9iY8xhl98/7IXlLTbGHDPG/K6L33/UGef/6+nYRESCQUg8MEJEpC84HwGaA2CMuQ+ottY+1suLXW6t/W5XvmitvdcYc7KnAxIRCRY6oysi0gOMMdXOf3ONMWuMMX8xxhQaYx4yxnzNGLPeGLPVGDPK+blBxpi/GmP+5XzN9mIZi40xLxtj/m6M2W2MecQ5PdwYk2eM2eZcxvd6968VEQkOOqMrItLzpgATgHJgH/A7a+15xpi7gDuAu4HHgV9aa983xpyB4xHmE7yYdw4wFagDdhlj/g8YDGRZaycBGGOSe/oPEhEJRip0RUR63r+stUUAxpi9wNvO6VuBec6fLwLONMY0fyfRGJNgra3qZN7vWGsrnPMuAIYD24GRzqJ3pcvyRET6NRW6IiI9r87l5yaX35v4fLsbBsy01tZ0Y96NQIS19rgxZgpwCfAd4Fpgic9Ri4iEGPXRFRHxj7eBlkFmxpicrs7IGJMGhFlr/wr8BDi7++GJiAQ/ndEVEfGPO4FfGWO24NgWrwVu6+K8soDfG2OaT178sAfiExEJesZa6+8YRETEDWPMYmBaV28v5pzHffTNbdBERAKOui6IiASuGuAL3XlgBHADoHvpiki/pDO6IiIiIhKSdEZXREREREKSCl0RERERCUkqdEVEREQkJKnQFREREZGQpEJXRERERELS/weZLThcIGV+bQAAAABJRU5ErkJggg==\n", 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" ] @@ -302,6 +310,10 @@ ], "source": [ "# Make a figure showing two signals with a beacon per signal\n", + "colors = ['y','g']\n", + "multiplier_name = ['m','n']\n", + "\n", + "\n", "fig, axes = plt.subplots(3,1, sharex=True, figsize=(12,4))\n", "axes[-1].set_xlabel(\"Time [ns]\")\n", "axes[-1].set_yticks([],[])\n", @@ -316,22 +328,27 @@ "\n", "# indicate timing of pulses\n", "for i, impulse_offset in enumerate(impulses_offsets):\n", - " kwargs = dict(color=['r','g'][i])\n", + " kwargs = dict(color=colors[i])\n", " [ax.axvline(impulse_offset/ns, **kwargs) for ax in (axes[i], axes[-1])]\n", "\n", "\n", "# indicate timing of the beacons\n", "# and annotate ticks and impulse widths\n", "tmp_beacon_phases = beacon_init_phase + np.arange(0,2)*beacon_phase_offset\n", - "tmp_beacon_offsets = (tmp_beacon_phases % (2*np.pi))/ (2*np.pi*f_beacon)\n", + "if not True: # mod phases\n", + " tmp_beacon_phases %= 2*np.pi\n", + "tmp_beacon_offsets = phase2time(tmp_beacon_phases, f_beacon)\n", + "\n", + "\n", + "A = np.empty(2)\n", + "B = np.empty(2)\n", "for i in range(0,2):\n", - " kwargs = dict(color=['r','g'][i], ls=(0, (3,2)))\n", + " kwargs = dict(color=colors[i], ls=(0, (3,2)))\n", " tick_kwargs = dict(color='k', alpha=0.2)\n", - " multiplier_name = ['m','n']\n", "\n", " # indicate every period of the beacon\n", - " beacon_ticks = [(n)*1/f_beacon + tmp_beacon_offsets[i] for n in range(1+int((time[-1] - time[0]) * f_beacon))]\n", - " \n", + " beacon_ticks = tmp_beacon_offsets[i] + [(n)*1/f_beacon for n in range(1+int((time[-1] - time[0]) * f_beacon))]\n", + "\n", " [axes[i].axvline(tick/ns, **{**kwargs, **tick_kwargs}) for tick in beacon_ticks]\n", "\n", " # reference period in beacon\n", @@ -345,8 +362,10 @@ " closest_beacon_tick = beacon_ticks[closest_beacon_tick_id]\n", "\n", " annotate_width(axes[i], f\"$A_{i+1}$\", closest_beacon_tick/ns, impulses_offsets[i]/ns, 0.7)\n", - " annotate_width(axes[i], f\"$B_{i+1}={multiplier_name[i]}T$\", closest_beacon_tick/ns, tmp_beacon_offsets[i]/ns, 0.5)\n", - " \n", + " annotate_width(axes[i], f\"$B_{i+1}={multiplier_name[i]}T$\", closest_beacon_tick/ns, tmp_beacon_offsets[i]/ns, 0.4)\n", + "\n", + " A[i] = closest_beacon_tick - impulses_offsets[i]\n", + " B[i] = closest_beacon_tick - tmp_beacon_offsets[i]\n", "\n", "# annotate width between beacon reference periods\n", "annotate_width(axes[-1], \"$t_\\phi$\", tmp_beacon_offsets[0]/ns, tmp_beacon_offsets[-1]/ns, 0.4)\n", @@ -355,19 +374,162 @@ "annotate_width(axes[-1], \"$\\Delta t$\", impulses_offsets[0]/ns, impulses_offsets[-1]/ns, 0.4)\n", "\n", "\n", - "fig.show()" + "fig.show()\n", + "if False:\n", + " fig.savefig('figures/08_beacon_sync_timing_outline.pdf')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\\Delta t = 74.20000000000002ns\n", + "\\Delta A = 5.7999999999999785ns\n", + "t_phi = 8.571428571428573ns\n", + "B_1 = 57.14285714285714ns = 4.0T\n", + "B_2 = 128.57142857142856ns = 9.0T\n", + "kT = 71.42857142857142ns = 5.0T\n" + ] + } + ], + "source": [ + "t_phi = (tmp_beacon_offsets[1]-tmp_beacon_offsets[0])\n", + "Delta_A = (A[1] - A[0])\n", + "\n", + "print(\"\\Delta t = {}ns\".format( (impulses_offsets[1][0] - impulses_offsets[0][0])/ns ))\n", + "print(\"\\Delta A = {}ns\".format( Delta_A/ns ))\n", + "print(\"t_phi = {}ns\".format( t_phi/ns ))\n", + "print(\"B_1 = {}ns = {}T\".format( (B[0])/ns, (B[0]*f_beacon) ))\n", + "print(\"B_2 = {}ns = {}T\".format( (B[1])/ns, (B[1]*f_beacon) ))\n", + "print(\"kT = {}ns = {}T\".format( (B[1]-B[0])/ns, (B[1]-B[0])*f_beacon ))\n", + "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "$$\n", + "$\n", "\\Delta t = (A_2 + B_2) - (A_1 + B_1) + t_\\phi\\\\\n", - " = A_2 - A_1 + (B_2 - B_1) + t_\\phi\\\\\n", - " = A_2 - A_1 + (nT - mT) + t_\\phi\\\\\n", - " = \\Delta A + (kT) + t_\\phi \\text{, where $\\Delta A < T$} \\\\\n", - "$$" + "\\quad = (A_2 - A_1) + (B_2 - B_1) + t_\\phi\\\\\n", + "\\quad = (A_2 - A_1) + (nT - mT) + t_\\phi\\\\\n", + "\\quad = \\Delta A + (kT) + t_\\phi\n", + "$\n", + "\n", + ", where $\\Delta A < T$ and $k \\in \\mathbb{Z}$ and $t_\\phi$ is minimisable.\n", + "\n", + "Then $\\Delta t$ can be determined by iteratively summing the signals, changing $k$, and finding the $k$ belonging to the maximum of the sums." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def find_best_integer_periods_sum(samplerate, f_beacon, ref_impulse, impulse, k_step=1):\n", + " max_k = int( len(ref_impulse)*f_beacon/samplerate )\n", + " ks = np.arange(-max_k/2, max_k/2, step=k_step)\n", + " \n", + " maxima = np.empty(len(ks))\n", + " \n", + " best_i = 0\n", + " \n", + " for i,k in enumerate(ks, 0):\n", + " augmented_impulse = time_roll(impulse, samplerate, k/f_beacon)\n", + " \n", + " maxima[i] = max(ref_impulse + augmented_impulse)\n", + " \n", + " if maxima[i] > maxima[best_i]:\n", + " best_i = i\n", + " \n", + " return ks[best_i], (ks, maxima)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best k: -5\n", + "Maximum: 2.0\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Make figure showing the sums depending on k\n", + "ref_impulse = impulses[0]\n", + "my_impulse = impulses[1]\n", + "\n", + "# remove 'already determined' offsets\n", + "if True:\n", + " # $t_\\phi$ offset\n", + " my_impulse = time_roll(my_impulse, samplerate, -t_phi)\n", + "\n", + " # $\\Delta A$ offset\n", + " my_impulse = time_roll(my_impulse, samplerate, Delta_A)\n", + "\n", + "best_k, (ks, maxima) = find_best_integer_periods_sum(samplerate, f_beacon, ref_impulse, my_impulse)\n", + "print(\"Best k: {:0g}\".format(best_k))\n", + "print(\"Maximum: {}\".format(maxima[np.where(ks == best_k)][0]))\n", + "\n", + "\n", + "# Make figure\n", + "fig, axes = plt.subplots(1, 1, sharex=True,figsize=(12,4))\n", + "if not hasattr(axes, 'ndim'):\n", + " axes = [axes]\n", + "\n", + "axes[0].set_title(\"Sum of impulses with $kT$ offsets. Best offset: ${:.0f}*T$\".format(best_k))\n", + "axes[-1].set_xlabel(\"Time [ns]\")\n", + "\n", + "if not True:\n", + " i=0\n", + " axes[i].set_ylabel(\"Reference\")\n", + " axes[i].plot(time/ns, ref_impulse, label=\"reference\")\n", + " axes[i].plot(time/ns, my_impulse, label='impulse')\n", + " axes[i].legend()\n", + "\n", + "axes[-1].set_ylabel(\"Sum\")\n", + "\n", + "best_maximum = np.max(maxima)\n", + "axes[-1].axhline(best_maximum, alpha=0.7)\n", + "\n", + "for i, k in enumerate(ks, 0):\n", + " sample_offset = int(k*1/f_beacon*samplerate)\n", + " augmented_impulses = np.roll(my_impulse, sample_offset)\n", + " \n", + " summed_impulse = ref_impulse + augmented_impulses\n", + " if True or k%2 == 1:\n", + " axes[-1].plot(time/ns, summed_impulse, label='k={:.0f}'.format(k),\n", + " alpha=0.1 + 0.9*1/(1+4*abs(best_maximum-maxima[i]))\n", + " )\n", + " \n", + "axes[-1].legend()\n", + "fig.show()\n", + "\n", + "del ref_impulse\n", + "del my_impulse" ] }, { @@ -379,7 +541,40 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# single out one period of the beacon\n", + "beacon_samplerate = samplerate # MHz\n", + "beacon_time = np.arange(0, 1/f_beacon, 1/beacon_samplerate)\n", + "ref_beacon = sin_delay(f_beacon, beacon_time, phase=0, t_delay=0)\n", + "\n", + "# .. and show beacon period\n", + "fig, ax = plt.subplots()\n", + "ax.set_title(\"A single beacon period\")\n", + "ax.set_xlabel(\"Time [ns]\")\n", + "ax.set_ylabel(\"Amplitude\")\n", + "ax.plot(beacon_time/ns,ref_beacon)\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -440,46 +635,6 @@ " return 2*np.pi* f_beacon * time" ] }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# single out one period of the beacon\n", - "beacon_samplerate = samplerate # MHz\n", - "beacon_time = np.arange(0, 1/f_beacon, 1/beacon_samplerate)\n", - "ref_beacon = sin_delay(f_beacon, beacon_time, phase=0, t_delay=0)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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hqr6uqmmqmpaYmFi9xAHg3K7NuPaM1rzx3UbmZdqIhsYEol0H87nvXyvoltSAh0d2cTuO37hZQHKAll7vk4FtZax7BSVOX6nqNufrBmAeP70+EtIeurAzHZvW555PlrPrUL7bcYwxXlSVe6esIP9kIc9f0Zs6EeFuR/IbNwvIIiBVRNqISBSeIvGzu6lEpCPQCFjgNa+RiNRxXicA/YE1JbcNVdGR4bx4VW8O5Rdw9+Tl9nyIMQHkvR82M39dHg9d0Jl2IX6zi2sFRFULgAnAdCADmKyqq0XkMREZ5bXqlcBH+tPh+joD6SKyHJgLPO1991Zt0KFpfR4e2YX/ZO3mre83uR3HGAOszzvME9MyGNQhkWvOaO12HL+T2jSMalpamqanp7sdw2dUlRvfTuf79bv55o6zSQnyfnWMCWYnC4u47JXv2bL3KDPuPJsmDaLdjuQzIrLYueb8E/YkehATEZ68pDuR4WHcN2WFncoyxkUvzslmRc4Bnrqke0gVj/JYAQlyzeKieWRkF37ctJd3FmxyO44xtdKq3ANMmpvNpX2SOL97c7fj1BgrICHgF6clM6RjIn/+JpPNe464HceYWqWgsIgHPl1BfN0oHh3Z1e04NcoKSAgQEZ66tAcR4cK9dirLmBr1xncbWZV7kMdGdQ3KYWmrwwpIiGgWF83DI7vw48a9vPvDZrfjGFMrbNp9hIkz13Ful6aM6NbM7Tg1zgpICPnlacmc3SGRZ6ZnsuOAPWBojD+pKg9+upKoiDD+dHG3kOplt7KsgIQQEeHx0d04WVjEY1+udjuOMSHt40VbWbBhD7+7oDNNa8ldVyVZAQkxrRrHcvvQVKat3MHctdZXljH+sOtQPk9My6Bfm3guT2tZ8QYhygpICPrVwLa0b1KPR6au4tgJ6/bdGF97atpajp8s4qlLuxMWVvtOXRWzAhKCoiLCePzibmzde4yX5ma5HceYkLJwwx4+W5rLrwe1rfUDu1kBCVFntG3MZX2Sef3bDWTtPOR2HGNCwsnCIh75fDVJDWO4ZXDojG1eVVZAQtjvLuhEbFQED/17FbWpzzNj/OXt7zeRufMQj17UhZio0O2mvbKsgISwxvXqcP+ITvy4cS9frNjudhxjgtrOg/k8NyuLIR0TGd6lqdtxAoIVkBB3+ekt6dqiAU9Ny+DoiQK34xgTtJ6clsGJwiL+MKprrXzmozRWQEJceJjwh1Fd2X4gn1fnrXc7jjFBacH6PXy+bBs3D2pH68Y2bEIxKyC1wOkp8Yzq2YLXvt3A1r1H3Y5jTFApLFL++EXxhfN2bscJKK4WEBEZISKZIpItIg+UsnyciOSJyDJnuslr2VgRyXKmsTWbPPg8eEEnwkR4clqG21GMCSqT07eydschfndBZ6Ij7cK5N9cKiIiEA5OA84EuwJUi0qWUVT9W1V7O9IazbTzwKNAP6As8KiKNaih6UGoe5/n09PWqHXy/frfbcYwJCofyT/K3GZmcntKIC7rXvs4SK+JmC6QvkK2qG1T1BPARMLqS254HzFTVvaq6D5gJjPBTzpDxq7Pbktwohj9OXUNBYZHbcYwJeJPmrmf34RM8PLKLXTgvhZsFJAnY6vU+x5lX0mUiskJEpohIcaczld0WERkvIukikp6Xl+eL3EErOjKc31/Ymcydh/g4fWvFGxhTi23Zc5R/fLeRS/sk0SO5odtxApKbBaS0cl7yabcvgBRV7QHMAt4+hW09M1VfV9U0VU1LTEyscthQcV7XZvRNiWfizCwOH7fbeo0py9PfZBAeJtx3Xie3owQsNwtIDuDdjWUysM17BVXdo6rHnbd/B06r7LamdCLC7y7szO7Dx3l9vt3Wa0xpFm7Yw7SVO7h5UDuaxdXOrtorw80CsghIFZE2IhIFXAFM9V5BRLxHpx8FFN9CNB04V0QaORfPz3XmmUro1bIhF/Vswev/2WADTxlTQlGR8vhXGTSPi2b82W3djhPQXCsgqloATMDzhz8DmKyqq0XkMREZ5ax2u4isFpHlwO3AOGfbvcCf8BShRcBjzjxTSfed15GiInh2ZqbbUYwJKF+s2MbK3APcc25H6++qAlKbOtlLS0vT9PR0t2MEjCe+WsMb321k2u0D6dy8gdtxjHHd8YJChj07n7pREXx1+0DCa/FYH95EZLGqppWcb0+i12IThqTSIDrSHi40xvH+D1vYuvcYD17Q2YpHJVgBqcXiYiO5fWgq/8nazfx1tfsWZ2MO5p/kxTlZ9G/fmLNTE9yOExSsgNRy157Rmlbxsfz567UUFdWe05nGlPTa/PXsO3qSB0Z0tocGK8kKSC0XFRHG3ed2YM32g3y50sYMMbXTjgP5vPndRkb1bEH35Di34wQNKyCGi3q0oFOz+vxtRiYnrYsTUwtNnLmOwiLl3vM6uh0lqFgBMYSFCfeP6MTmPUf5aJF1cWJql+xdh/hk8VauOaM1LeNj3Y4TVKyAGAAGd0ykb0o8L8zOspELTa3y7Mx1xESGM2FIe7ejBB0rIAbwdHFy34iO5B06zj//u8ntOMbUiJU5B5i2cgc3DmxL43p13I4TdKyAmP9JS4lnWOcmvDp/PfuPnnA7jjF+99cZmTSMjeSmgW3cjhKUrICYn7jnvI4cPl7AKzZ+uglxCzfsYf66PH4zqB0NoiPdjhOUrICYn+jUrAGX9Erire83seugdbRoQpOq8tcZmTRtUIexZ6W4HSdoWQExP3PHsFQKi5SXrRViQtS8zDwWbdrHbeek2jjn1WAFxPxM68Z1+WVaSz5YuIXc/cfcjmOMTxUVKc9Mz6RVfCxj0lpWvIEpkxUQU6rbzvHc0vjSnCyXkxjjW1+v2sGa7Qe5a3gqURH2J7A67KdnStWiYQxX9WvF5PQcNu0+4nYcY3yisEiZOGsd7ZvUY1TPJLfjBD1XC4iIjBCRTBHJFpEHSln+WxFZIyIrRGS2iLT2WlYoIsucaWrJbU313TK4HZHhwguzrRViQsMXy7eRveswdw3rYN21+4BrBUREwoFJwPlAF+BKEelSYrWlQJqq9gCmAH/xWnZMVXs50yiMzzVpEM3YM1P4bFkuWTsPuR3HmGopKCzi+dlZdGpWn/O7NXM7TkhwswXSF8hW1Q2qegL4CBjtvYKqzlXVo87bH4DkGs5Y6/16UDtiI8N5bpa1Qkxw+2xpLht3H+Gu4R0Is9aHT7hZQJIA7577cpx5ZbkR+NrrfbSIpIvIDyJycVkbich4Z730vDwbNOlUxdeN4sYBbfhq5XbWbDvodhxjquRkYREvzMmiW1IDzu3S1O04IcPNAlLaR4BSRzQSkWuANOAZr9mtnDF6rwKeE5F2pW2rqq+rapqqpiUmJlY3c61048C21I+O4PnZ69yOYkyVTFmcw9a9x/jt8A42WJQPuVlAcgDvm7CTgW0lVxKRYcBDwChVPV48X1W3OV83APOA3v4MW5vFxURy44A2TF+9k1W5B9yOY8wpOV5QyIuzs+jVsiFDOjZxO05IqbCAiEisiDwsIn933qeKyEgfHHsRkCoibUQkCrgC+MndVCLSG3gNT/HY5TW/kYjUcV4nAP2BNT7IZMpww4A2NIiOsGshJuhMXrSVbQfyuftca334WmVaIP8EjgNnOu9zgMere2BVLQAmANOBDGCyqq4WkcdEpPiuqmeAesAnJW7X7Qyki8hyYC7wtKpaAfGjBtGR3DSwLbMydrIyx1ohJjjknyxk0tz1nJ7SiAHtE9yOE3IiKrFOO1W9XESuBFDVY+KjMq6q04BpJeY94vV6WBnbfQ9090UGU3nX90/hze828tysdbw57nS34xhTocnpW9lxMJ9nx/S01ocfVKYFckJEYnAucDsXq4+Xv4kJRfWjI/nVwDbMXruL5Vv3ux3HmHLlnyzk5bnr6ZsSz5ntGrsdJyRVpoA8CnwDtBSR94HZwH1+TWUC1tizUmgYG8lzs+yOLBPYilsfdw5LtdaHn1RYQFR1JnApMA74EM+T4fP8G8sEKk8rpC1zM/NYumWf23GMKZXn2ke2tT78rMwCIiJ9iiegNbAdz222rZx5ppYae1YKjWIjed76yDIB6uNFW9l58Li1PvysvIvof3O+RuN5iG85nof/egALgQH+jWYCVb06Edw0sC3PTM9k2db99GrZ0O1IxvxP/slCXp5nrY+aUGYLRFWHqOoQYDPQx3ma+zQ8D+xl11RAE5iKr4VYT70m0Fjro+ZU5iJ6J1VdWfxGVVcBvfwXyQSDenUiuGlAG+as3cWKHLsjywQGa33UrMoUkAwReUNEBovIIOeJ9Ax/BzOBb+xZKcTFWCvEBI7J6Z7Wxx3W+qgRlSkg1wOrgTuAO/F0GXK9P0OZ4FA/2tNH1qyMXdZHlnHd8YJCXpm3nrTWjTjLWh81ojK38ear6kRVvcSZJqpqfk2EM4FvXP8UGkRH2B1ZxnWfpOew/UC+tT5qUGU6U9woIhtKTjURzgS+BtGR3DigLTPX7GT1NmuFGHecKCjilXnr6d2qofV5VYMqcworDTjdmQYCLwDv+TOUCS7j+qdQPzrCroUY1/xrSQ65+49xx1BrfdSkypzC2uM15arqc8A5NZDNBIm4mEhu6O8ZLyRju41aaGrWycIiJs3NpmfLhgzqYIPG1aTKnMLq4zWlicjNQP0ayGaCyA3921C/TgQvzrFWiKlZny3JJWffMe4Y2t5aHzWsMt25/83rdQGwERjjnzgmWMXFRjKufwovzskmc8chOjazzxjG/04WFvHS3Gy6J8XZaIMuqMw1kBuLn0pX1eGqOh444e9gJvjc0L8NdaPCeWmudVRgasbny7axZe9RbrdrH66oTAGZUsl5p0xERohIpohki8gDpSyvIyIfO8sXikiK17IHnfmZInKeL/KY6mlUN4qxZ6Xw5YptZO865HYcE+IKnGsfXZo3YFhna324obzeeDuJyGVAnIhc6jWNw9PBYrWISDgwCTgf6AJcKSJdSqx2I7BPVdsDE4E/O9t2wTOGeldgBPCysz/jspsGtiUmMpyX5lgrxPjXFyu2sXH3EWt9uKi8FkhHYCTQELjIa+oD/MoHx+4LZKvqBlU9AXwEjC6xzmjgbef1FGCoM5zuaOAjVT2uqhvxdO7Y1weZTDXF143i2jNaM3X5NjbkHXY7jglRhUXKi3Oy6dSsPud2aep2nFqrvN54P1fV64GRqnq913S7MyZ5dSUBW73e5zjzSl1HVQuAA0DjSm4LgIiMF5F0EUnPy8vzQWxTkV+d3ZaoiDC7FmL85quV29mQ52l9hIVZ68Mt5Z3CKh629ioReaHk5INjl/Zb10quU5ltPTNVX3e6ok9LTLR7xGtCQr06XNOvNf9emsum3UfcjmNCTFGR8uLsLFKb1GNE12Zux6nVyjuFVdzjbjqwuJSpunKAll7vk/GMeFjqOiISAcQBeyu5rXHR+EFtiQwPY5K1QoyPfb1qB1m7DnObtT5cV+ZzIKr6hfP17bLWqaZFQKqItAFy8VwUv6rEOlOBscAC4BfAHFVVEZkKfCAizwItgFTgRz/lNFXQpH40V/VrxTsLNnP70FRaxse6HcmEgKIi5cU5WbRNrMuF3Zu7HafWK7OAiMgXlHFaCEBVR1XnwKpaICITgOlAOPAPVV0tIo8B6ao6FXgTeFdEsvG0PK5wtl0tIpPxdC1fANyqqoXVyWN87+ZB7Xh/4RYmzc3m6ct6uB3HhIAZa3awdschJl7ek3BrfbhOVEuvESIyqLwNVXW+XxL5UVpamqanp7sdo1Z55PNVfLBwC/PuHUxyI2uFmKpTVS544TuOnShg1m8HERFemcfYjC+IyGJVTSs5v7y7sOYXT3hOIe3D0wpYEIzFw7jjN4PbESbCK/PWux3FBLmZazyddU44J9WKR4CoTGeKFwLr8XTj/hKQLSLn+zuYCQ3N42L4ZVoyk9O3sm3/MbfjmCClqjw/O4vWjWO5uFcLt+MYR2XK+N+AIao6WFUHAUPwPBVuTKX8ZnA7AF6db60QUzWzM3axettBbh3S3lofAaQyv4ldqup9L+YGYJef8pgQlNwoll+clsxHP25lxwEbDdmcmuLWR8v4GC7pXerzwsYllSkgq0VkmoiME5GxwBfAouK+sfycz4SIWwa3p0jVWj6se84AABp/SURBVCHmlM3LzGNl7gEmDGlPpLU+AkplfhvRwE5gEDAYyAPi8fSLNdJvyUxIaRkfy2V9kvngxy3sPGitEFM5qspzs7NIahjDpX2S3Y5jSqhwQCmnPyxjqu3WIe2ZsiSHV+at5w+jurodxwSB+evyWL51P09e0t1aHwGowgLiPCl+G5DivX51HyQ0tU+rxrFc1ieJD37cwm8Gt6Npg2qPCmBCWPG1j6SGMfziNGt9BKLKlPR/A5uAF/HckVU8GXPKJgxJpbDIroWYin2btZulW/bzm8HtiIqw1kcgqsyY6Pmq6oved42hVeNYLu2dxAcLt/CbQe1oYq0QUwpVZeLMdSQ1jGFMWsuKNzCuqExZf15EHhWRM0WkT/Hk92QmZE04pz0FRcqr8ze4HcUEqPnr8li2dT+3DmlvrY8AVpkWSHfgWuAcoMiZp857Y05Z68Z1uaR3Eu8v3MzNg9paK8T8hKry3Cy79hEMKlPaLwHaquogVR3iTFY8TLVMGOJphbxi10JMCfOs9RE0KvPbWY5nXHRjfCYloS6X9k7i/YX2XIj5f9b6CC6VKSBNgbUiMl1EpjrT5/4OZkLfbeekUlSkvGyjFhrHvEzPcx8TzrHWRzCozDWQR71eCzAAuNI/cUxt0qqxp4+sD3/cys2D29E8LsbtSMZFntaH586ry+yp86BQYYl3xv44AFwIvAUMBV6tzkFFJF5EZopIlvO1USnr9BKRBSKyWkRWiMjlXsveEpGNIrLMmXpVJ49xz61D2qOojZ1umLN2F8tzDljrI4iU+VsSkQ4i8oiIZOAZB2QrnhEMh6jqi9U87gPAbFVNBWY770s6Clynql2BEcBzIuJ9LeZeVe3lTMuqmce4pGV8LGPSWvLxoq3k7DvqdhzjElXl2ZnraBUfa9c+gkh5ZX4tntbGRao6wCkavhp3fDTwtvP6beDikiuo6jpVzXJeb8PThXyij45vAsitQ9ojiLVCarHpq3ewettBbh+aan1eBZHyflOXATuAuSLydxEZiucaiC80VdXtAM7XJuWtLCJ9gSg8IyMWe8I5tTVRROqUs+14EUkXkfS8vDxfZDc+1qJhDFf0bckn6Tls3WutkNqmqEiZODOLtgl1bbTBIFPemOifqerlQCdgHnAX0FREXhGRcyvasYjMEpFVpUyjTyWgiDQH3gWuV9XiBxkfdHKdjqdr+fvL+T5eV9U0VU1LTLQGTKC6ZXB7wsKEF2ZnuR3F1LAvV24nc+ch7hhmY50Hm8pcRD+iqu+r6kggGVhG6dcsSm43TFW7lTJ9Dux0CkNxgSh1hEMRaQB8BfxeVX/w2vd29TgO/BPoW4nv1QSwZnHRXN2vFZ8uzWVD3mG345gaUlBYxHOz1tGhaT0u6mGtj2BzSuVeVfeq6ms+eBJ9KjDWeT0W+NlzJSISBXwGvKOqn5RYVlx8BM/1k1XVzGMCwC2D2xMVHsbEWdYKqS0+X7aNDXlHuGtYB8LCfHWG3NQUt9qLTwPDRSQLGO68R0TSROQNZ50xwNnAuFJu131fRFYCK4EE4PGajW/8IbF+Ha7vn8IXy7eRsf2g23GMn50sLOL52Vl0ad6A87o2czuOqYLKPEjoc6q6B88dXiXnpwM3Oa/fA94rY3vriytE/frsdrz7w2b+NmMdb4xNczuO8aN/Lc5hy96jvHFdmrU+gpRdsTIBJS42kvED2zIrYydLt+xzO47xk/yThTw/O4verRoytHO5N2GaAGYFxASc6we0Ib5uFH+bsc7tKMZP3vthM9sP5HPveR3xXMo0wcgKiAk49epEcMvgdnyXvZsF6/e4Hcf42KH8k0yam83A1ATOapfgdhxTDVZATEC65ozWNG1Qh7/OyERV3Y5jfOjN7zay7+hJ7j2vo9tRTDVZATEBKToynNuHprJ48z7mrC31MSEThPYeOcEb/9nI+d2a0SPZhhkKdlZATMAak9aSNgl1+cs3mRQWWSskFLw8N5ujJwq4+9wObkcxPmAFxASsyPAw7j63A5k7D/HZ0ly345hq2rb/GO/8sJlL+yTTvkl9t+MYH7ACYgLaBd2a0yM5jokz15F/0ledQRs3vDA7CxTuHJbqdhTjI1ZATEALCxPuH9GJ3P3HeO+HzW7HMVWUtfMQk9O3cvUZrUhuFOt2HOMjVkBMwOvfPoGBqQm8NDebg/kn3Y5jquDP36ylbp0Ibj/HWh+hxAqICQr3j+jE/qMneW3++opXNgHlhw17mJWxi1sGt6dR3Si34xgfsgJigkK3pDhG9WzBm99tZOfBfLfjmEpSVZ6alkHzuGiu75/idhzjY1ZATNC4+9wOFBYpE2daFyfB4quV21mec4C7z+1IdGS423GMj1kBMUGjdeO6XHdmCh+nb2XNNuvuPdCdKCjiL99k0qlZfS7pneR2HOMHVkBMULn9nFTiYiJ5clqGdXES4N5fuJkte4/y4AWdCbfu2kOSKwVEROJFZKaIZDlfG5WxXqHXYFJTvea3EZGFzvYfO6MXmlogLjaS289J5bvs3czLzHM7jinDgaMneWF2Fv3bN+bsVOswMVS51QJ5AJitqqnAbMoeY/2YqvZyplFe8/8MTHS23wfc6N+4JpBcc0Zr2iTU5fGv1nCysMjtOKYUz8/OYv+xkzx0QRfrrj2EuVVARgNvO6/fxjOueaU446CfA0ypyvYm+EVFhPHg+Z1Yn3eEj37c4nYcU0L2rsO8s2ATV5zeki4tGrgdx/iRWwWkqapuB3C+ljUkWbSIpIvIDyJSXCQaA/tVtcB5nwPYFbpaZniXpvRrE8/EWVn2cGGAeXJaBjGR4dx9rnXXHur8VkBEZJaIrCplGn0Ku2mlqmnAVcBzItIOKK09XObVVBEZ7xSh9Lw8O2ceKkSEh0d2Yd/RE0yak+12HOOYvy6POWt3cdvQ9iTUq+N2HONnfisgqjpMVbuVMn0O7BSR5gDO11IHfFDVbc7XDcA8oDewG2goIhHOasnAtnJyvK6qaaqalpiY6LPvz7ivW1Icl/VJ5h//3cj6vMNux6n1CgqL+NOXa0hpHMu4s9q4HcfUALdOYU0FxjqvxwKfl1xBRBqJSB3ndQLQH1ijnns35wK/KG97UzvcP6IT0RHh/PGLNXZbr8veX7iF7F2H+d0FnYmKsCcEagO3fstPA8NFJAsY7rxHRNJE5A1nnc5Auogsx1MwnlbVNc6y+4Hfikg2nmsib9ZoehMwEuvX4c7hHfh2XR4z1+x0O06ttf/oCSbOWkf/9o0Z3qWp23FMDYmoeBXfU9U9wNBS5qcDNzmvvwe6l7H9BqCvPzOa4HHdma356Mct/OmrNZzdIdG6zHDBX6Zncii/gIdH2m27tYm1M03QiwwP44+jurJ17zFe/3aD23FqnWVb9/Phj1sYd1YKnZrZbbu1iRUQExLOap/Ahd2bM2luNjn7jrodp9YoLFJ+/++VNKlfx0YarIWsgJiQ8bsLOyMCj3+Z4XaUWuODhZtZlXuQ31/YhfrRkW7HMTXMCogJGUkNY5gwpD3frN7BnLV2Qd3f8g4d5y/TMxnQPoGRPZq7Hce4wAqICSnjz25HapN6PPzv1Rw5XlDxBqbKnvo6g/yThfxxdFe7cF5LWQExISUqIownL+1O7v5jNvCUHy3csIdPl+Qy/uy2tEus53Yc4xIrICbknJ4Sz1X9WvGP/25kVe4Bt+OEnPyThTz42UqSG8UwYYhdOK/NrICYkHT/iE40rleHBz5dQYF1+e5TL8zOYkPeEZ66tDsxUfbMTW1mBcSEpLiYSB69qAurcg/y1veb3I4TMlblHuC1bzcwJi2ZganWt1xtZwXEhKwLuzdnSMdEnp25jq177dmQ6jpZWMR9U1YQXzeKhy7o4nYcEwCsgJiQJSL86eJuCHDflBUUFVlni9Xx+rcbWLP9IH8a3Y24WHvmw1gBMSEuuVEsD4/swoINe3hnwSa34wSt7F2HeX5WFhd2b86Ibs3cjmMChBUQE/IuP70lQzom8vQ3a9lg44acsoLCIu6bspzYOuH8YVRXt+OYAGIFxIQ8EeHpy3pQJyKcuz9ZbndlnaJJc9ezZMt+/jiqK4n1bZRB8/+sgJhaoWmDaB4b3ZWlW/bz+n+sx97KWrJlHy/MyeLiXi0Y3SvJ7TgmwFgBMbXGqJ4tuKB7MybOXEfG9oNuxwl4h48XcNfHy2jWIJrHLu7mdhwTgFwpICISLyIzRSTL+dqolHWGiMgyrylfRC52lr0lIhu9lvWq+e/CBBsR4fGLuxMXE8VtHy7l6AnrK6s8j32xmi17j/LsmJ40sJ52TSncaoE8AMxW1VRgtvP+J1R1rqr2UtVewDnAUWCG1yr3Fi9X1WU1ktoEvfi6UTx3eS/W5x3mkc9Xux0nYH2zajuT03P4zaB29Gvb2O04JkC5VUBGA287r98GLq5g/V8AX6uqPQ1mqm1AagIThrRnyuIc/rU4x+04ASd3/zEe+HQl3ZPiuHNYB7fjmADmVgFpqqrbAZyvTSpY/wrgwxLznhCRFSIyUUTKvDVERMaLSLqIpOfl5VUvtQkZdwxNpW+beB7+fBXZu+zW3mLHCwq55b3FFBQqz1/Ri6gIu0xqyua3fx0iMktEVpUyjT7F/TQHugPTvWY/CHQCTgfigfvL2l5VX1fVNFVNS0y0vnuMR0R4GC9c0ZvoyHAmfLCE/JOFbkcKCI99sYblOQf46y970ta6aTcV8FsBUdVhqtqtlOlzYKdTGIoLxK5ydjUG+ExVT3rte7t6HAf+CfT11/dhQlezuGieHdOTtTsO8ejnq1Gt3V2dTFmcw/sLt3DzoHb2tLmpFLfap1OBsc7rscDn5ax7JSVOX3kVH8Fz/WSVHzKaWmBwxyZMGNKej9O38nYt7rV39bYDPPTZSs5s25h7zrXrHqZy3CogTwPDRSQLGO68R0TSROSN4pVEJAVoCcwvsf37IrISWAkkAI/XQGYTon47vAPDuzTlsS/X8O262ned7MDRk/zmvSU0io3ixat6ExFu1z1M5UhtaranpaVpenq62zFMADpyvIDLXvme3P3H+OyW/rRvUjvO/x8vKOS6N39kyZZ9fPzrM+nT6mePZBmDiCxW1bSS8+2jhjFA3ToRvDE2jToRYdz09iL2Hz3hdiS/KypS7v1kBQs37uWvv+xpxcOcMisgxjiSG8Xy2rWnsW1/Pre8v4QTBaHd6eIzMzKZunwb943oaP1cmSqxAmKMl9Nax/PUpd35fv0e7vx4acj23PveD5t5Zd56rurXit8Maud2HBOkItwOYEyguey0ZPYdPcHjX2UQG7WSv1zWg7AwcTuWz8xcs5NHPl/FOZ2a8NiornhuZjTm1FkBMaYUNw1sy+HjBTw3K4u6UZ6BlELhD+3sjJ3c+v4SuiXF8eKVdseVqR4rIMaU4Y6hqRw5XsDf/7ORunUiuG9EJ7cjVcuM1Tu49YMldG7egHdv6EfdOvbf31SP/Qsypgwiwu8u6MyRE4W8PG89Ctx3XsegbIl8s2oHEz5YQtekON65oS9xMdY9u6k+KyDGlENEeHy0ZzClV+atJ+/QcZ66tDuRQXTq5+uV27ntw6V0T47j7Rv62tgexmesgBhTgbAw4YmLu9G0fjQTZ61j9+HjvHx1H2KjAvu/j6ry5ncbeXJaBr1bNeKt60+nvhUP40PB8zHKGBeJCHcMS+WpS7vz7bo8rvz7QvYcPu52rDIdLyjkvikrePyrDM7r2ox3b+xrxcP4nBUQY07BlX1b8dq1aazdfpBRL/2X9E173Y70M7sPH+fqvy/kk8U53D40lUlXBX5ryQQnKyDGnKLhXZryyc1nEhEuXP76D0yam01hUWD0Kbdo015Gv/RfVuYe4MUre/Pb4R1C6hkWE1isgBhTBT2SG/LlbQO4oHtznpmeybVvLmTXwXzX8hw9UcAfv1jNmNcWIAKf3HwmF/Vs4VoeUztYb7zGVIOq8kl6Do9MXUV0ZDh3Dk3l6jNa1+hdWgs37OG+f61g856jXHdma+4f0cme8TA+VVZvvFZAjPGB7F2HeOTz1Xy/fg/tEuvy0IWdGdKxiV+fGVmfd5iX5mTz2dJcWsXH8ufLenBmu8Z+O56pvayAYAXE+JeqMitjF09Oy2Dj7iMMTE3gpoFtGdg+wafXIdbtPMRLc7L5YsU2oiPCue6s1twxNNUulBu/CagCIiK/BP4AdAb6qmqpf9VFZATwPBAOvKGqxSMXtgE+AuKBJcC1qlrhAA5WQExNOFFQxHs/bOaludnsPXKCpIYxjElryZjTk2keF1Olfe49coJZGTv5ZtUO5mbuIiYynOvOTOGmgW1IqFfHx9+BMT8VaAWkM1AEvAbcU1oBEZFwYB2eIW9zgEXAlaq6RkQmA5+q6kci8iqwXFVfqei4VkBMTTpeUMjMNTv56MetfJe9mzCBbklx9GrZkN6tGtKrZSNSGsf+7DTXycIicvcdY9OeI2TvOszsjF38uGkvhUVKi7hoLu2TzA0D2hBfN8ql78zUNgFVQP53cJF5lF1AzgT+oKrnOe8fdBY9DeQBzVS1oOR65bECYtyyZc9R/rUkh4Ub97Ai5wBHTxQCEB4mREeEERMVTnRkOKqw42D+T24Lbt+kHiO6NuO8rs3oltQgKPviMsGtrAISyCdNk4CtXu9zgH5AY2C/qhZ4zS9zODURGQ+MB2jVqpV/khpTgVaNY7lreAcACouUrF2HWLplP1v3HiX/ZBH5BYXknyikSJXkRrG0bhxLSkJdWjeOpUn9aJfTG1M6vxUQEZkFNCtl0UOq+nlldlHKPC1nfqlU9XXgdfC0QCpxXGP8KjxM6NSsAZ2aNXA7ijHV4rcCoqrDqrmLHKCl1/tkYBuwG2goIhFOK6R4vjHGmBoUyE+iLwJSRaSNiEQBVwBT1XPRZi7wC2e9sUBlWjTGGGN8yJUCIiKXiEgOcCbwlYhMd+a3EJFpAE7rYgIwHcgAJqvqamcX9wO/FZFsPNdE3qzp78EYY2o7e5DQGGNMucq6CyuQT2EZY4wJYFZAjDHGVIkVEGOMMVViBcQYY0yV1KqL6CKSB2yu4uYJeJ5BCQaW1T8sq+8FS06o3Vlbq2piyZm1qoBUh4ikl3YXQiCyrP5hWX0vWHKCZS2NncIyxhhTJVZAjDHGVIkVkMp73e0Ap8Cy+odl9b1gyQmW9WfsGogxxpgqsRaIMcaYKrECYowxpkqsgFSCiIwQkUwRyRaRB9zOUxoRaSkic0UkQ0RWi8gdbmeqiIiEi8hSEfnS7SzlEZGGIjJFRNY6P98z3c5UFhG5y/n9rxKRD0UkYIYzFJF/iMguEVnlNS9eRGaKSJbztZGbGYuVkfUZ59/AChH5TEQaupmxWGlZvZbdIyIqIgn+OLYVkAqISDgwCTgf6AJcKSJd3E1VqgLgblXtDJwB3BqgOb3dgaer/kD3PPCNqnYCehKgmUUkCbgdSFPVbkA4nnF0AsVbwIgS8x4AZqtqKjDbeR8I3uLnWWcC3VS1B7AOeLCmQ5XhLX6eFRFpCQwHtvjrwFZAKtYXyFbVDap6AvgIGO1ypp9R1e2qusR5fQjPH7kyx4p3m4gkAxcCb7idpTwi0gA4G2fMGVU9oar73U1VrgggRkQigFgCaLROVf0W2Fti9mjgbef128DFNRqqDKVlVdUZzjhFAD/gGQ3VdWX8XAEmAvdRzpDf1WUFpGJJwFav9zkE8B9mABFJAXoDC91NUq7n8PzjLnI7SAXaAnnAP53TbW+ISF23Q5VGVXOBv+L5xLkdOKCqM9xNVaGmqrodPB+CgCYu56msG4Cv3Q5RFhEZBeSq6nJ/HscKSMWklHkBe++ziNQD/gXcqaoH3c5TGhEZCexS1cVuZ6mECKAP8Iqq9gaOEDinWX7CuX4wGmgDtADqisg17qYKPSLyEJ5Txu+7naU0IhILPAQ84u9jWQGpWA7Q0ut9MgF0WsCbiETiKR7vq+qnbucpR39glIhswnNK8BwRec/dSGXKAXJUtbg1NwVPQQlEw4CNqpqnqieBT4GzXM5UkZ0i0hzA+brL5TzlEpGxwEjgag3ch+ja4fkQsdz5P5YMLBGRZr4+kBWQii0CUkWkjYhE4bkoOdXlTD8jIoLnPH2Gqj7rdp7yqOqDqpqsqil4fp5zVDUgPymr6g5gq4h0dGYNBda4GKk8W4AzRCTW+fcwlAC94O9lKjDWeT0W+NzFLOUSkRHA/cAoVT3qdp6yqOpKVW2iqinO/7EcoI/zb9mnrIBUwLloNgGYjuc/42RVXe1uqlL1B67F82l+mTNd4HaoEHEb8L6IrAB6AU+6nKdUTitpCrAEWInn/3fAdL8hIh8CC4COIpIjIjcCTwPDRSQLzx1DT7uZsVgZWV8C6gMznf9fr7oa0lFG1po5duC2wowxxgQya4EYY4ypEisgxhhjqsQKiDHGmCqxAmKMMaZKrIAYY4ypEisgxhhjqsQKiDGVJCKNvZ6x2SEiuV7vv/fD8caJSJ6IVKnDSaf78R0ico+vsxkDnn5+jDGVoKp78DxIiIj8ATisqn/182E/VtUJVdlQVe8VkSO+DmRMMWuBGOMDInLY+TpYROaLyGQRWSciT4vI1SLyo4isFJF2znqJIvIvEVnkTP0rcYxxIvKpiHzjDMD0F2d+uIi85QwitVJE7vLvd2uMh7VAjPG9nkBnPGM0bADeUNW+4hkl8jbgTjyDVE1U1e9EpBWernI6V2LfvfB01X8cyBSRF/F0gZ7kDCJFoIyUZ0KfFRBjfG9R8RgXIrIeKB6TYyUwxHk9DOji6fMQgAYiUt8ZDKw8s1X1gLPvNUBrYDXQ1ikmX3kdzxi/sgJijO8d93pd5PW+iP//PxcGnKmqx6qx70IgQlX3iUhP4DzgVmAMngGPjPEruwZijDtm4OnlGQAR6VXVHYlIAhCmqv8CHiZwxysxIcZaIMa443ZgktNFfATwLXBzFfeVhGfI3eIPhA/6IJ8xFbLu3I0JUCIyDkir6m28zj7+QM3cbmxqITuFZUzgOgacX50HCYFr8IzjbozPWQvEGGNMlVgLxBhjTJVYATHGGFMlVkCMMcZUiRUQY4wxVfJ/pZOj8/vYIO4AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# show beacon period\n", - "fig, ax = plt.subplots()\n", - "ax.set_title(\"A single beacon period\")\n", - "ax.set_xlabel(\"Time [ns]\")\n", - "ax.set_ylabel(\"Amplitude\")\n", - "ax.plot(beacon_time/ns,ref_beacon)\n", - "fig.show()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -489,14 +644,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Beacon delays [ns] \\pm k*14.285714285714285ns: [ 0. -5.6]\n" + "Beacon delays [ns] \\pm k*14.285714285714285ns: [0. 5.6]\n" ] } ], @@ -506,14 +661,14 @@ " for beacon in beacons\n", "])\n", "\n", - "beacon_time_delays = (beacon_phase_delays) / (2*np.pi * f_beacon)\n", + "beacon_time_delays = phase2time(beacon_phase_delays, f_beacon)\n", "\n", "print(\"Beacon delays [ns] \\pm k*{}ns: {}\".format(1/f_beacon/ns, beacon_time_delays/ns))" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -521,12 +676,12 @@ "output_type": "stream", "text": [ "0 0.0\n", - "1 5.6046012940041905\n" + "1 2.463008640414398\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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" ] @@ -547,17 +702,17 @@ "for i, _ in enumerate(beacons):\n", " l = ax.plot(time/ns, beacons[i], label=\"ch {}\".format(i), ls ='--', alpha=0.5)\n", " \n", - " print(i, -beacon_phase_delays[i]+(i)*np.pi, )\n", + " print(i, beacon_phase_delays[i], )\n", "\n", " if True:\n", - " corrected_beacon = sin_delay(f_beacon, beacon_time, phase=-beacon_phase_delays[i]+(i)*np.pi, t_delay=0)\n", + " corrected_beacon = sin_delay(f_beacon, beacon_time, phase=beacon_phase_delays[i], t_delay=0)\n", " else:\n", " corrected_beacon = sin_delay(f_beacon, beacon_time, t_delay=beacon_time_delays[i], phase=0)\n", " \n", " ax.plot(beacon_time/ns, 2*beacon_amplitude*corrected_beacon, label='ch {} corrected'.format(i), color=l[0].get_color())\n", " \n", " # indicate start of uncorrected beacons\n", - " ax.axvline(beacon_time_delays[i]/ns, color=l[0].get_color())\n", + " ax.axvline(phase2time((2*np.pi+beacon_time_delays[i])%2*np.pi, f_beacon)/ns, color=l[0].get_color())\n", "\n", "ax.legend(ncol=2)\n", "ax.margins(y=0.3)\n", @@ -567,7 +722,7 @@ "fig.show()\n", "\n", "\n", - "# ax.plot((double_signal_time) * ns, signal_2(double_signal_time + calc_shift), 'r--', label='Recovered')" + "#ax.plot((double_signal_time) * ns, signal_2(double_signal_time + calc_shift), 'r--', label='Recovered')" ] }, { @@ -581,7 +736,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -610,14 +765,14 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Beacon Impuls delays: $[-198.54865571 -480.03535747]$ns\n" + "Beacon Impuls delays: $[-454.90261624 -921.11496603]$ns\n" ] } ], @@ -635,7 +790,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": {}, "outputs": [ {