{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectrum Normalization\n", "\n", "Normalization by base peak intensity is a fundamental processing step in\n", "mass spectrometry. This method scales the peak intensities in a spectrum\n", "such that the highest peak reaches a maximum value, typically set to\n", "one. This approach facilitates the comparison of different spectra by\n", "standardizing the intensity scale.\n", "\n", "## Loading the Raw Data\n", "\n", "To begin, we need to load the mass spectrometry data. The following\n", "Python code demonstrates how to load a spectrum from an mzML file using\n", "the pyOpenMS library." ], "id": "c3e15755-8895-494d-9b1a-32144110ac4b" }, { "cell_type": "code", "execution_count": null, "metadata": { "linenos": "" }, "outputs": [], "source": [ "from urllib.request import urlretrieve\n", "import pyopenms as oms\n", "import matplotlib.pyplot as plt\n", "\n", "gh = \"https://raw.githubusercontent.com/OpenMS/pyopenms-docs/master\"\n", "urlretrieve(gh + \"/src/data/peakpicker_tutorial_1_baseline_filtered.mzML\", \"tutorial.mzML\")\n", "\n", "exp = oms.MSExperiment()\n", "oms.MzMLFile().load(\"tutorial.mzML\", exp)\n", "\n", "plt.bar(exp.getSpectrum(0).get_peaks()[0], exp.getSpectrum(0).get_peaks()[1], snap=False)\n", "plt.show()" ], "id": "dca95129-5115-4d70-a9e3-a3a02cb77ed6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Normalization Procedure\n", "\n", "After loading the data, the next step is to apply normalization." ], 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UCoW0bNkyPf3001q4cKHuvPPOWJnKykrNmjVL5557rtasWaN58+bpuuuu07vv\nvnvI3h8AAACAw0/Sw5bH49Hs2bP1v//7vyoqKoptdzqdevLJJ/X73/9e5513nqZNm6annnpKy5Yt\n0/LlyyVJ7733njZu3Ki///3vOuGEE3TRRRfpvvvu04IFCxQKhSRJjz32mMaPH6+HHnpIkydP1s03\n36xvf/vbevjhh5PyfgEAAAay3S2+ZFcB6DOSHrbmzp2rWbNmacaMGXHbV61apXA4HLf96KOP1pgx\nY1ReXi5JKi8v13HHHaeSkpJYmZkzZ8rlcmnDhg2xMnsfe+bMmbFjdCYYDMrlcsV9AQAAYP8M05LF\noC1AUpJnI3zhhRf0xRdf6LPPPuuwz263KyMjQ4WFhXHbS0pKZLfbY2XaB622/W37uirjcrnk9/uV\nnZ3d4bUfeOAB3XPPPQf8vgAAAA5ngbCR7CoAfULSWrZ27dqln//853r22WeVlZWVrGp0av78+XI6\nnbGvXbt2JbtKAAAA/UbIsJJdBaBPSFrYWrVqlerr63XSSScpLS1NaWlp+uijj/THP/5RaWlpKikp\nUSgUksPhiPu5uro6lZaWSpJKS0s7zE7Y9v3+yuTn53faqiVJmZmZys/Pj/tC4gTChiLclAEAADDA\nJC1snX/++Vq3bp3WrFkT+zr55JM1e/bs2L/T09O1ePHi2M9UVFSoqqpKZWVlkqSysjKtW7dO9fX1\nsTKLFi1Sfn6+pkyZEivT/hhtZdqOgeQjZgEA0D8EI4zFAnoiaWO2Bg0apGOPPTZuW25uroYMGRLb\nfu211+rWW2/V4MGDlZ+fr5/+9KcqKyvTqaeeKkm64IILNGXKFF199dV68MEHZbfb9Zvf/EZz585V\nZmamJOnGG2/Un//8Z91+++368Y9/rA8++ED/+Mc/9Oabbx7aNwwAAADgsJLUCTL25+GHH1ZKSoqu\nuOIKBYNBzZw5U3/5y19i+1NTU/XGG2/opptuUllZmXJzczVnzhzde++9sTLjx4/Xm2++qVtuuUWP\nPPKIRo0apSeeeEIzZ85MxlsCAAAAcJjoU2FryZIlcd9nZWVpwYIFWrBgwT5/ZuzYsXrrrbe6PO45\n55yj1atX90YVAQAADluGSed/oCeSvs4WAAAA+gfCFtAzhC0AAAAASIADCltz5szR0qVLe7suAAAA\nADBgHFDYcjqdmjFjho488kjdf//9qq6u7u16AQAAoI/pTjdCX8g4BDUB+ocDCluvvvqqqqurddNN\nN+nFF1/UuHHjdNFFF+mf//ynwuFwb9cRAAAAfUDY3H+QavaGDkFNgP7hgMdsDRs2TLfeequ+/PJL\nrVixQhMnTtTVV1+tESNG6JZbbtGWLVt6s54AAABIMqsbaxp7g5HEVwToJw56goza2lotWrRIixYt\nUmpqqi6++GKtW7dOU6ZM0cMPP9wbdQQAAEA/4Q1FZDFpISDpAMNWOBzWv/71L11yySUaO3asXnrp\nJc2bN081NTV6+umn9f777+sf//hH3OLCQFcMsxuPygAAAIB+5IAWNR4+fLhM09RVV12llStX6oQT\nTuhQ5txzz1VhYeFBVg+HC4efLgcAAAAYWA4obD388MP6zne+o6ysrH2WKSwsVGVl5QFXDIcXFkkE\nAGDgiBj0WAGkA+xG+OGHH3Y666DX69WPf/zjg64UAAAA+h6jm4OxiFpA1AGFraefflp+v7/Ddr/f\nr2eeeeagKwUAAIC+hyHWQM/0qBuhy+WSZVmyLEtutzuuG6FhGHrrrbdUXFzc65UEAABA8pndnmaQ\n4QGA1MOwVVhYKJvNJpvNpqOOOqrDfpvNpnvuuafXKgcAAIC+w+pm2AobhC1A6mHY+vDDD2VZls47\n7zz961//0uDBg2P7MjIyNHbsWI0YMaLXKwkAAIDkYz4roGd6FLbOPvtsSVJlZaXGjBkjm82WkEoB\nAAAAQH/X7bC1du1aHXvssUpJSZHT6dS6dev2WXbq1Km9UjkAAAAA6K+6HbZOOOEE2e12FRcX64QT\nTpDNZuu0367NZpNhGL1aSQAAACQf3QiBnul22KqsrNSwYcNi/wYAAMDhhrQF9ES3w9bYsWM7/TcA\nAADQnkkoAyQdxKLGb775Zuz722+/XYWFhTrttNO0c+fOXqscAAAA+h+TESWApAMMW/fff7+ys7Ml\nSeXl5frzn/+sBx98UEOHDtUtt9zSqxUEAAAAgP6oR1O/t9m1a5cmTpwoSXr11Vf17W9/WzfccINO\nP/10nXPOOb1ZPwAAAPQjgbAhxnYBUQfUspWXl6empiZJ0nvvvaevf/3rkqSsrCz5/f7eqx0AoFNh\nZn0F0Ef5QgZRC2h1QC1bX//613XdddfpxBNP1FdffaWLL75YkrRhwwaNGzeuN+sHAOiEL2wmuwoA\nDkNmJ8v+dF4uwRUB+okDatlasGCBysrK1NDQoH/9618aMmSIJGnVqlW66qqrerWCAAAA6F+6G8qA\nge6AWrYKCwv15z//ucP2e+6556ArBAAAAAADwQGFLUlyOBxauXKl6uvrZZp7urPYbDZdffXVvVI5\nAEDn/MFIsqsAAAD244DC1uuvv67Zs2fL4/EoPz9fNpstto+wBQCJZ9BDBwCAPu+Axmz94he/0I9/\n/GN5PB45HA61tLTEvpqbm3u7jgAAAOgnHL5QsqsA9BkHFLaqq6v1s5/9TDk5Ob1dHwBAN4QNU+5A\nONnVAIAOmIkQ2OOAwtbMmTP1+eef93ZdcJgKG2bcuD8A+xeKmNrV7Et2NQAAQBcOaMzWrFmzdNtt\nt2njxo067rjjlJ6eHrf/m9/8Zq9UDocHk0dgQI/5Qoa21Ls1ZURBsqsC4DDClO5AzxxQ2Lr++usl\nSffee2+HfTabTYZhHFytAABdMk1L4QgfegAA6MsOKGzR5QsAkisU4T4MAEBfd0BjttoLBAK9UQ8A\nAAAAGFAOKGwZhqH77rtPI0eOVF5enrZv3y5J+s///E89+eSTvVpBAAAAAOiPDihs/fd//7cWLlyo\nBx98UBkZGbHtxx57rJ544oleqxwAAAAA9FcHFLaeeeYZPf7445o9e7ZSU1Nj248//nht3ry51yoH\nAACAvoMJhIGeOeBFjSdOnNhhu2maCodZZBMAAOBwFTGYwAdoc0Bha8qUKfr44487bP/nP/+pE088\n8aArBQAAgP7JEwyzHhfQ6oCmfr/zzjs1Z84cVVdXyzRNvfzyy6qoqNAzzzyjN954o7frCAAAgH6E\nrAVEHVDL1re+9S29/vrrev/995Wbm6s777xTmzZt0uuvv66vf/3rvV1HAAAA9AGEKKBnDqhlS5LO\nPPNMLVq0qDfrgsNYkAVaAQDo+whbQI8cUMvWhAkT1NTU1GG7w+HQhAkTDrpSOPxYPCoDAADAAHNA\nYWvHjh0yDKPD9mAwqOrq6oOuFAAAAAD0dz0KW6+99ppee+01SdK7774b+/61117TK6+8ovvuu0/j\nxo3r9vEeffRRTZ06Vfn5+crPz1dZWZnefvvt2P5AIKC5c+dqyJAhysvL0xVXXKG6urq4Y1RVVWnW\nrFnKyclRcXGxbrvtNkUikbgyS5Ys0UknnaTMzExNnDhRCxcu7MnbBgAAQDf5Qx0fyAOHqx6N2br0\n0kslSTabTXPmzInbl56ernHjxumhhx7q9vFGjRql3/72tzryyCNlWZaefvppfetb39Lq1at1zDHH\n6JZbbtGbb76pl156SQUFBbr55pt1+eWX69NPP5UkGYahWbNmqbS0VMuWLVNtba2uueYapaen6/77\n75ckVVZWatasWbrxxhv17LPPavHixbruuus0fPhwzZw5sydvHwAAAPvBtO/AHj0KW6YZncRg/Pjx\n+uyzzzR06NCDevFvfOMbcd//93//tx599FEtX75co0aN0pNPPqnnnntO5513niTpqaee0uTJk7V8\n+XKdeuqpeu+997Rx40a9//77Kikp0QknnKD77rtPv/rVr3T33XcrIyNDjz32mMaPHx8LgZMnT9Yn\nn3yihx9+mLAFAAAAIGEOaMxWZWXlQQetvRmGoRdeeEFer1dlZWVatWqVwuGwZsyYEStz9NFHa8yY\nMSovL5cklZeX67jjjlNJSUmszMyZM+VyubRhw4ZYmfbHaCvTdozOBINBuVyuuC8AAAAA6IkDnvp9\n8eLFWrx4serr62MtXm3+9re/dfs469atU1lZmQKBgPLy8vTKK69oypQpWrNmjTIyMlRYWBhXvqSk\nRHa7XZJkt9vjglbb/rZ9XZVxuVzy+/3Kzs7uUKcHHnhA99xzT7ffAwAAAADs7YBatu655x5dcMEF\nWrx4sRobG9XS0hL31ROTJk3SmjVrtGLFCt10002aM2eONm7ceCDV6jXz58+X0+mMfe3atSup9QEA\nAOgTGI4F9MgBtWw99thjWrhwoa6++uqDrkBGRoYmTpwoSZo2bZo+++wzPfLII/re976nUCgkh8MR\n17pVV1en0tJSSVJpaalWrlwZd7y22Qrbl9l7BsO6ujrl5+d32qolSZmZmcrMzDzo9wYAADCQkLWA\nnjmglq1QKKTTTjutt+siKToJRzAY1LRp05Senq7FixfH9lVUVKiqqkplZWWSpLKyMq1bt0719fWx\nMosWLVJ+fr6mTJkSK9P+GG1l2o4BAP1RxDL3XwgAehlhC+iZAwpb1113nZ577rmDfvH58+dr6dKl\n2rFjh9atW6f58+dryZIlmj17tgoKCnTttdfq1ltv1YcffqhVq1bpRz/6kcrKynTqqadKki644AJN\nmTJFV199tb788ku9++67+s1vfqO5c+fGWqZuvPFGbd++Xbfffrs2b96sv/zlL/rHP/6hW2655aDr\nj97hDxsKm3xwBHoiwjI2APowpn8Hog6oG2EgENDjjz+u999/X1OnTlV6enrc/t///vfdOk59fb2u\nueYa1dbWqqCgQFOnTtW7776rr3/965Kkhx9+WCkpKbriiisUDAY1c+ZM/eUvf4n9fGpqqt544w3d\ndNNNKisrU25urubMmaN77703Vmb8+PF68803dcstt+iRRx7RqFGj9MQTTzDte19iSgZZC+gxHlIA\n6KvIWkDUAYWttWvX6oQTTpAkrV+//oBf/Mknn+xyf1ZWlhYsWKAFCxbss8zYsWP11ltvdXmcc845\nR6tXrz6gOgJAX2RaphrcwWRXAwAAdOGAwtaHH37Y2/UAAPSAYUieQCTZ1QBwmKHBCuiZHoWtyy+/\nfL9lbDab/vWvfx1whQAAAABgIOhR2CooKEhUPQAAAABgQOlR2HrqqacSVQ8AQA8YJp15AADo6w5o\n6negN1lMWQT0mGlZDJ4AcMhx2wF6hrCFpAublpjAGgCAvo+wBfQMYQsAAAAAEoCwBQAAgF7FEAEg\nirAFAACAXkXUAqIIWwAAAACQAIQtAAAA9CqTboSAJMIW+gDLssQ9GQAAAAMNYQtJFzEtWRaTvwMA\nAGBgIWwBAACgV9FjBYgibKFPiBjclQEAGAgiBrMRAm0IW+gTLG7LAAAMCMGwkewqAH0GYQsAAAAA\nEoCwBQAAgF5jmPRWAdoQtgAAANBrwgYzDANtCFsAAAAAkACELQAAAABIAMIWAAAAACQAYQsAAAAA\nEoCwBQAAAAAJQNgCAAAAgAQgbAEAAABAAhC2AAAA0KssltoCJBG2AAAA0MtMK9k1APoGwhYA9EMR\ng8fGAAD0dYQtAOiHTIvHxgAA9HWELQDoh0xLskTgAgCgLyNsAUA/ZBK0AADo8whbANAPMdMXAAB9\nH2ELAAAAvYq2dyCKsAUAAAAACUDYAgAAQK+iZQuIImwBQD/lCzFwCwCAvoywBQD9VNgwkl0FAADQ\nBcIWAAAAACQAYQsA+inDZFQEgL4nbNDFGWhD2AKAfsoXohshgL6H50DAHoQtAAAAAEgAwhaSLmJa\nCkd4DAYAAICBhbCF5LMs0bsbAAAAAw1hC32CadGyBQAAgIGFsIU+gcG0AAAMHPxZB6KSGrYeeOAB\nnXLKKRo0aJCKi4t16aWXqqKiIq5MIBDQ3LlzNWTIEOXl5emKK65QXV1dXJmqqirNmjVLOTk5Ki4u\n1m233aZIJBJXZsmSJTrppJOUmZmpiRMnauHChYl+ewAAAAAOY0kNWx999JHmzp2r5cuXa9GiRQqH\nw7rgggvk9XpjZW655Ra9/vrreumll/TRRx+ppqZGl19+eWy/YRiaNWuWQqGQli1bpqeffloLFy7U\nnXfeGStTWVmpWbNm6dxzz9WaNWs0b948XXfddXr33XcP6fsFgN5i8NwYQB9lMTQAiElL5ou/8847\ncd8vXLhQxcXFWrVqlc466yw5nU49+eSTeu6553TeeedJkp566ilNnjxZy5cv16mnnqr33ntPGzdu\n1Pvvv6+SkhKdcMIJuu+++/SrX/1Kd999tzIyMvTYY49p/PjxeuihhyRJkydP1ieffKKHH35YM2fO\nPOTvGwAOGp9lAADo8/rUmC2n0ylJGjx4sCRp1apVCofDmjFjRqzM0UcfrTFjxqi8vFySVF5eruOO\nO04lJSWxMjNnzpTL5dKGDRtiZdofo61M2zH2FgwG5XK54r4AAAAAoCf6TNgyTVPz5s3T6aefrmOP\nPVaSZLfblZGRocLCwriyJSUlstvtsTLtg1bb/rZ9XZVxuVzy+/0d6vLAAw+ooKAg9jV69OheeY/o\nXMhk4ncAAAAMPH0mbM2dO1fr16/XCy+8kOyqaP78+XI6nbGvXbt2JbtKAxpduwEAADAQJXXMVpub\nb75Zb7zxhpYuXapRo0bFtpeWlioUCsnhcMS1btXV1am0tDRWZuXKlXHHa5utsH2ZvWcwrKurU35+\nvrKzszvUJzMzU5mZmb3y3gAAAAAcnpLasmVZlm6++Wa98sor+uCDDzR+/Pi4/dOmTVN6eroWL14c\n21ZRUaGqqiqVlZVJksrKyrRu3TrV19fHyixatEj5+fmaMmVKrEz7Y7SVaTsGAAAAAPS2pLZszZ07\nV88995z+/e9/a9CgQbExVgUFBcrOzlZBQYGuvfZa3XrrrRo8eLDy8/P105/+VGVlZTr11FMlSRdc\ncIGmTJmiq6++Wg8++KDsdrt+85vfaO7cubHWqRtvvFF//vOfdfvtt+vHP/6xPvjgA/3jH//Qm2++\nmbT3DgAAMBAx9TuwR1Jbth599FE5nU6dc845Gj58eOzrxRdfjJV5+OGHdckll+iKK67QWWedpdLS\nUr388sux/ampqXrjjTeUmpqqsrIy/eAHP9A111yje++9N1Zm/PjxevPNN7Vo0SIdf/zxeuihh/TE\nE08w7TsAAEAvC5uELaBNUlu2uvPkIysrSwsWLNCCBQv2WWbs2LF66623ujzOOeeco9WrV/e4jgAA\nAABwIPrMbIQAgO4zLYupPAEA6OMIWwDQbxG2AADoywhbAAAAAJAAhC0AAAAASADCFgAAAAAkAGEL\nAAAAABKAsIU+gQUQ0RVXIJzsKvRJ/L8BAKBvI2yhT2D9Q3Sl2RNKdhX6JF/YTHYVAABAFwhbANAP\nmbRqAQDQ5xG20CeYNG2hCzUOf7Kr0OfwPwYAgL6PsIU+gaf06IolxicBAID+h7CFPoGP0QAADAxh\ng/GkQBvCFgAAAHqNwRNUIIawBQAAgF5jMA4biCFsAQAAoNcwxhbYg7CFPoEbMwAAAAYawhaSzrIs\nFjUGAADAgEPYQtKZlkTDFrri9Idp/QQAAP0OYQt9Ah+j0ZVg2CCQAwCAfoewBQAAAAAJQNgCgH4q\nzGI2AAD0aYQt9Al0EQN6xrIsRQwz2dUAAABdIGwBAAAAQAIQtgAAAAAgAQhbSDqTdbawH8GwoUZP\nMNnVAAAA6BHCFpKO8VrYHy4RAADQHxG2APR5dmeARY0BAEC/Q9gC0Od5g2G6mnYizGyEAAD0aYQt\n9Al8jgZ6xrLE1O8AAPRxhC0AfV7EMOXwhZJdjT7FMKUgixoDANCnEbYA9HmWpAj9CONYFi3CAAD0\ndYQtAH2eYVoKhY1kVwMA0A1MaATsQdgC0Od5Q6b8YcYnAUAyMSkP0HOELQB9XtiIJLsKAHDYq3UE\nkl0FoN8hbAHo80zTkjdI4NpbkNY+AH1IVZNPkmSa3JuANoQtAH2eJSlE95UOghHGsQHoO/zh6EMx\nX4j7NdCGsIWksyyLWdXQJdO0GHDdCc4IgL6kwR2UJAWZ0AiIIWwh6ZjRG/vT7A0rzIUCAP2CwaMg\nIIawBaDPCxmWTMIWACRVoJstVgzZAvYgbCHpDD5EAwDQ522sdXa5v8kTPEQ1AfoPwhaSjrE42B/T\n4jEpACTb/iblaevuzR0b2IOwBaDPCxkEcgBINl+omxNfcMsGYghbAPo8Gj87RxdcAIeSO9D1eodO\nX1gS92ygPcIWgD7PGwwluwoAcNiL7Ge9w3p34BDVBOg/CFsA+rwILTgA0G9wywb2IGwBAAAc5pq9\nB9+DwBds7WZI2AJikhq2li5dqm984xsaMWKEbDabXn311bj9lmXpzjvv1PDhw5Wdna0ZM2Zoy5Yt\ncWWam5s1e/Zs5efnq7CwUNdee608Hk9cmbVr1+rMM89UVlaWRo8erQcffDDRbw09wGyE2B/LsvY7\nCxYA4MC5/OGDPka1w98LNQEGlqSGLa/Xq+OPP14LFizodP+DDz6oP/7xj3rssce0YsUK5ebmaubM\nmQoE9vQJnj17tjZs2KBFixbpjTfe0NKlS3XDDTfE9rtcLl1wwQUaO3asVq1apd/97ne6++679fjj\njyf8/aF7iFrojkCYyYQBoC8LHeKHYv7uzo4IJFFaMl/8oosu0kUXXdTpPsuy9Ic//EG/+c1v9K1v\nfUuS9Mwzz6ikpESvvvqqrrzySm3atEnvvPOOPvvsM5188smSpD/96U+6+OKL9T//8z8aMWKEnn32\nWYVCIf3tb39TRkaGjjnmGK1Zs0a///3v40IZAPQnlpjxC0Dv8Ye7nmmwOxo8B9861hN1roDGDc09\npK8J9FSfHbNVWVkpu92uGTNmxLYVFBRo+vTpKi8vlySVl5ersLAwFrQkacaMGUpJSdGKFStiZc46\n6yxlZGTEysycOVMVFRVqaWnp9LWDwaBcLlfcFwD0NQZpC0AvafIc/JgtlqMAOuqzYctut0uSSkpK\n4raXlJTE9tntdhUXF8ftT0tL0+DBg+PKdHaM9q+xtwceeEAFBQWxr9GjRx/8GwKAXsZ4RwC9xdkL\nY7YIW0BHfTZsJdP8+fPldDpjX7t27Up2lQCgA7IWgN7iD+9//NP+HvC0rcN1qEbYOnyswYi+r8+G\nrdLSUklSXV1d3Pa6urrYvtLSUtXX18ftj0Qiam5ujivT2THav8beMjMzlZ+fH/cFIHksy1LYIFm0\nZ4qWLQCHlm8/E1Ic6jvS1gbP/gsBSdZnw9b48eNVWlqqxYsXx7a5XC6tWLFCZWVlkqSysjI5HA6t\nWrUqVuaDDz6QaZqaPn16rMzSpUsVDu9pHl+0aJEmTZqkoqKiQ/RuABwM07TkCx384O2BhqgF4FDa\nXzdBs/UB0KG6NzEbIfqDpIYtj8ejNWvWaM2aNZKik2KsWbNGVVVVstlsmjdvnv7rv/5Lr732mtat\nW6drrrlGI0aM0KWXXipJmjx5si688EJdf/31WrlypT799FPdfPPNuvLKKzVixAhJ0ve//31lZGTo\n2muv1YYNG/Tiiy/qkUce0a233pqkdw2gpyKWtd8nqgCA5DIPcQ8ELw/h0A8kder3zz//XOeee27s\n+7YANGfOHC1cuFC33367vF6vbrjhBjkcDp1xxhl65513lJWVFfuZZ599VjfffLPOP/98paSk6Ior\nrtAf//jH2P6CggK99957mjt3rqZNm6ahQ4fqzjvvZNp3oB8xyFmdomULQF8SOcQtW93hC0VkWlJe\nZlI/8uIwltQr75xzzulyzIHNZtO9996re++9d59lBg8erOeee67L15k6dao+/vjjA64ngOSyLIlJ\nrjpizBYAdC1sWNHuj5nJrgkOV312zBa6Z1t914NDXYFDu8AgkAhmdDaIZFejz+GUAOgt7l6Y+v1Q\nPxQL0r0c/QBhq5+rdfq73L+jwXuIagIkjmXSitMZzgiA3tLcC9Oot039fqj4ujFdPZBshK0Brj+2\nbDW4g8muAvogd5CB0ACQKKHIwQclsw/293YHwnL3w89CGDgIWwNEMGJ0OjV2o6f/BRcvH6qxl773\n5xsABhZP4OBbicw+2APBtKw+WS8cPghb/dzuFp+k6BOpzqbGbvH1/ac53ASxP5Ykb5DuIh3wXwdA\nLwmED/5BZ6QP/j2PGKaCdDdEEjEPZj9X2Rgdk2WaVqeLDbr8B98HG0g2S/2zlTbR+t7HGgD9laMb\nXe38ke6FlkN1b3J2Y1KPYMRk8WMkFS1b/VzbjcYTNOQJdHwq1dVCsM3ekMKHeDBrZ/ae+IAxW+hM\noJt/5AEAPRfuRutPONz1ZwYz+R8pgD6HsHUYC0aMTlvDDrW9axDkQzUAAIeUqxfGbB1q3QmIFmO2\nkGR0I+znAq03mohp9spMQgAA4PDTG4HkUGea7sxS2+IL9coaYsCBomWrnwsb0Ttbvcuvnc2sqQUA\nAHrO6oWeLoe6/cju2v+wg2DYlLMfttph4KBlq59rmwCj0R1Uo7fjZBiHeoFBAIcOPWMA9JZQL4St\nQ/mJIxQxZXRjkJhhWsxGiKSiZaufc7eurRWImPJ1MjW2s5NJM4D+xpL6xPhCADic7T2hVTL5QxEF\njf3XxzQtRfj7gSQibPVz/mD0qU4oYijQySxB/k4WOm4TMcw+cePcuw4O376nq+9s4WYMfJbEk0kA\nSLLkf2LYIxA25A/ufyxW2GDqdyQXYWuA8IcMeTu56XQWwNo0+8IKJnBSjXpX4IB+LtBFneq70T8b\nA48pqRsPMAEAB6g3xmwdav2vxjgcEbYGCMOKzrjTYXsSb55drfEF9IQlMUCpE/3wsxGAPircjRuK\nvw/1MIiYJn8W0C8QtgYQT+uYrZZ2E2UYpiXfPqZG9YUifWJRY6A7DP6qdsAZAdBbujPZRF8SMSwF\nI/u/CzZ5Q10OTwASjbDVz/mD0RtIMGyoxRftYudst55EMGLqi6qWzn82ZHQ5aNQd6HvrUtQ4/Mmu\nApLE6DsPVAFgQLEsq989fI2YVrcC4q5mn+rdDEFA8hC2+jlPKHqjiZiWQvsY1LKlzt3p9ohhdrmI\nYYW9859LproDHAeG/s+gHQcAEqarzgOebiwefKhZltWtoRIt3qCavYQtJA9hq58LdWOCi+A+nlZ5\nghEFu5hAY3uD54Dr1RN7V6/W4YtrnYsrS1cyAAB6lWVZXf593V4f/Txg9rGBol09MG7jCRlq7mQd\nUuBQIWz1c6Zpanu9R4Zpxbr9BUKR2I3xYDQfZB/nA52co9kb7nfdGdB7DNNSvZsWzO7oWx97APRX\npqUu/+66Wj9f+EN9a3hBdz5m+IIR1mlEUhG2+rmwIdU4/fIFwvL4o838H29p1Fftug7u60mUP2R0\n2TIWOshZh2qdBza+qqrZ2+X6YJtqnQdaJfQDlmV12eIKAOh9kQQuBZMITn+4ey1bgUhCl7kB9oew\n1c9ZkuytoabtnhMwDK2rdsYWAG7fJW/Z1kbtavJJij7FMkxLda5Ap099vEmaur3JE9K2fbTMmZal\ntbsdh7ZCOKQM09KOJm/HHXQh7VIL3WQAHIT+FkfCptWt5n1/xGAIApKKsNVPtU1jallSozckdyCi\nSOvNZOX2JjV5g7EFgJs8gVjgMi1LO5vjP8j6Q4Z2NfsOYe27ZlqWgpHOg15Ni1+eANPSDWSNnoDW\ndDKDZm/0LI0M4O6pTB4D4GB01UrUNkGG1cdCS9+qDdA5wlY/5fBFw1PbjcYRCCnSOhvh7paAmj17\nnnI7/ZHYZBc1Dr8Crd0DXb6wwvsINd2xr0DUpukAn7T7Q4Ya3Z3/rCcY6XTxZgwcbn9ElQ0dZ8IM\nm1bs2j1QfemhQm/b2VlrIAB0U1ezqO9uid47I/uY9Xh/DNPq9ck1orMRdqOc2f+mtcfAQtjqp9pm\n1mm7fTS7wwq1hp+IYcjpD6nW4ZdpWvIEDW1rDVvbGjxy+NsGuhoKhI3YE6ue3ghrHV0/Se/umK29\nH5RFDCvWBXJvpmWpxdu3Buiid+1s8qrG0XGaXsuSNta4DurY1QN4nTZ3H5yaGUD/0dVHgK7W5OyO\nBneg16ePD4bMbnV9DBsm6zQiqQhb/dTGWmesa6A7EFFEhsKGpXpXQC2+sPxhU4Zlqdbpky8YibV0\n+UKGgq2tA55wRJa1p0ti1V5P/T2Brm+M1S1dtxK49jF9+/6ETTMWCPfm9Ifl62OzIaF3NXtDCu/j\nEeu+Qnh3HeikLf2Bl7AF4GB0kacO9t7b4g3ttzdMT4W6ebywaTIbIZKKsNVP1buCsQHxvlBELd6w\nIpa0aGOdDNNUIBy9MXqDba1cvtbvw6pqHbMVaZ3xzR/u/CZq38/021/u6npWwOABdvkyDHOfXRUC\nIaPfDeJFzzj9QUX2Ebb29wBgfzbVHlzLWF+2o5FuhAAOjGVZ6uovdn/uUeIPGQpHeBiF5CFs9VO1\nTp92NEW7BjZ7gmrxBGUpuhZGOBLtUtTgDipsGAqETVU2RsPWziafqpoCcvhCChiGWnxBrd3l7HQs\njMvX8ebUfnDs+pqOkxi05w0aHQbTdqdlIdRFx/FA2JCPJ/gDmsMXkT/Y8Xq0LEub7AcXlnxJmmHz\nUNjW4O7WIucAsLeIaXU52US9K/5vt9PXs/BlmFbyWpcsS/4ILVtIHsJWP2SYlpo84diYqRpHQP7W\nOSM8gYgiik5+0ewNKRiR/GEjNpV2IGxoV7NXDl9Y3qCh7fVeNXpC2lDTsZXKF+x4M93ZtKfrYKOn\n65utwx9WnSt+7E1n6yftPWbL6uLzomlJVTzBH9A8gVDcNL2Nnug1ZFmmXP6DW/D6YCfY6MsGcpAE\nkFxOf/T+0vYAdbejZ5MNuQIR+blH4TBF2OqH3lhTI0cgJGfriu5NnkCsa93W+uiT/1DE0pe7nbIs\nKRwx5A5EFIqYcvjCcgXCqmryyjQtrdntUIM7IJc/rM17dbFy+sNq8QZjH3b3FjK6XhT5QFmWuc81\nlQzDVMNesxwy5fXA4gpG4p6aulu7DhpWtMvswYQtl3/gtop6Ax1bkgGgNwRbZ5jwt/7Nd3Qy23B9\nJ0MP2pbb2N7gOuhu4Hszupo+cW/cGpFEhK1+qNbtl9cf1rb66PTYTd6Q2j6abqqOBqaIJbV4/TIk\n+SLRado31Djl8IXkC0b08dYG2T1+Vdhdqmx0a0u9RxtqWuLWIQoapjbUuPTJV42xbQ3tgo3LF9EX\nVc1xdWu/sKrLH9rneLCuBIKWmnydBzxfKNJhoC5PywaWOmdAoU7G7FmKTuayr/DfHd5OWmsHCm8o\nwiBwAAnhbX1Q1fbAqrPgVN0c7WrYfry2t/Xvs8tvyN/LE2TUebq3DIxlWV3OtAgkGmGrH3L4QtrV\n7JOrdRbBQGhPQGoJ7Fl/q8Wz52YYNkz9fXmlAhFLTn9EDm9ILZ6QGr3R7oiNnqC2NXhV7w5qW4NH\nTn84tuZGkzf64dYfMvTFrj3jtJyBsJy+cNwMQ59ubYwFNncgHPtg7A7sWVS57VhtYbEzgX20mBmm\n2WFdjc6epqH/8ofC+5xlyh82DurpaH8e5L0/3lCEMVsAEqKtZattzLSz3YzB63Y7JEn1nujf4s66\nNHsDYX11kGNuO9Spk7G9neG2iGQjbPVD/pAhX0TaWh+dICPY7kbia/dNrXNPn+qQIS3b0ijDksKW\n1OgOyh80FIxY8kWig13tzoCWb2tQozsQ6661ye7S9tYFZj/f0aR6dyAWnIJhU/XuoHa0ruElSTub\nvaqoi5Z3+kKxLmBNrU+galrXOfqqziV3oOONMhA2ZFpScB93x0Ao3CFs7e8DZlsYdAXCvT71LHpf\nIGSofcNW2xIDlinVOvyqPYi1sg6kpbW/iDAAHECCBFsf6rb9bW7fUrSlLvoZoLL1M0lDuwegLb7o\nvx2BcOwzS2/xhrv38CxiqMuZFoFEI2z1Q5Wt4cbu7Nii0/6G0jagVYq2dDW1e6q/urpFhrFnQcDd\nLT41e8P6dFuj/KFo64FpWVpT5dDa3U41e0Navr1ZLn9YNQ6/tta7FTFNVbf4tXRLo+xOvyKGqZoW\nv7bVe+QOhDuss7Whes8kHGt2OxQxTJmmFRueFYqYsjsD0Qk+9rHOVtAwZElqcAdjP7O/bmVtE4kE\nwoYc3nBcV8k952rgtnj0N02eUNyQveeW75QU/ePe5AnFwr7U+f+BrrgHdJdTwhaAA7O/8Z4hoy1s\nddy3s3U5mbaHqa52vQ8aWx+0tvjCsvfyOoeBbt7Pu5p0CzgUCFv9kL11hj/vfh7S7727XW9DuXym\nXO3yRbM3KG8wopoWv9bsatGrq3fLHzK1vd4jhy8klz+sjyrq5fKFtb3Bo93NfkUiltZXt2hLnUsV\ndrd2NHnlDoQVMkw1eUIyLWlLaytX2DDV4gvJFQjrqzqXdrZORV/V7It9sN7V2oJhKPqhum0ihLYx\nWo2eoAKhiCxJFa3dEV5etVvrdzvk8IVix3cFwqpuvemHDVMRw1St0y+HNyRvKKIWX8d+3i2dDPZF\ncoSN6PwolmXJ6QvL19r/35RkmqbMdn85XYGe/d6MAdyfJGxGH14AQE+F9jPxkLuL7tu1e81M6G+X\nyKpaZzBucAf2OTzgQPmN7oUtbotItrRkVwA91xutMHvf8vwRKTPVUEWdK9ZNwJBU5w4oGI5od7NX\nlQ1uBcIRba33qCA7XaakWmdA3mBEm+1uNXtD2t7o0cjCHBVlpysYtrRqZ7PcgbD+uWqX0lNtystM\n06dbGuXyB1XvDGh9jTP2QH7hp9t18bEjJEl2p0+vrt6tWceN0IrKZn1t/OBo6Gud9d3bejOvbPKq\n3hOUwxfWjgaPjhyer611bo0dkitJqm7xy+4KaKiZqV0tPo0oyJI7EFFWeqoGZaUrYphKS01RrcOv\nopx0eUOGRhRmS4q2njW6AyrKzVRpQVbnvwtfWAU56XvOq2kpJcXWoVy9K6Di/M6PgXiBSPT6tKzo\ntd42VsCSFDYsufyGKuwuFeVkqN4V1FEl3T/2vhZL7k/artm9hSKSJxjR4EGZSagVgP7Mt5/xT2Er\nuuzM3rnFNC19XhmdKMvT2tIUaheCNtY6dblGyxM0ZKnj38aD0eLu3sO2gdt5HP0FYasfCoQS0wrj\nCZqKSAqHXLHZDR2+aEvSU59Wyh+JhpfX19boqOJBMhUNJM0uv6pbvHJ5g1pf41HJoGw1eAIKWtKu\nZr/KtzZpVWWTpo0boo931mtbg1eGaWlQVoacgXDstT6rbNbEkkHRuoSkJZvrdXRpvpo8QT1TvkNV\nDR55Wu/0G2pcmjGlVOtrHAqGDHmDEe1o9urI4fn66Kt6fX/6WFU2elTvCigQNtToCSocNrSlzq38\nnAzlZkbD1vLtTTrjyGFaVdUSW9vpqzq3zplULG8wonp3UA2eoIbkZSi9kw+4NU6fCnIKor+XsCG7\nM6ARhdkKG6b8YUND86IffNsGDAcjhjLTUhPw2+v/2mbSa7u619e0KBSx1OTe003UG5E2VrtUUpCt\nycNT9f4mu844cli3XyMciQa4guz0/Rfuo3a3+DVuaG6H7aYlBRiTCOAAtB97vS8uf6hD2Gr0BFXX\neo9u6yYYbteUZG9p7fIfjijcy/enEE1W6CcIW/3QQcx83aW2pz/udo+B2toBvtjZIlOS35B2NXqV\nkx4NDK7WCTm+qGpWfevYqKpGj+pc0f12Z0BvfLlLG+0uTRpRqI01HvlCEQVN6Z11tcrPTouNM9vR\n5NWG1lmNpGgXxOeW71RRboY+2FSvzLQ9T8U+qqjTqKJsbap2KjsjTW+uq1ajK6STxgxWRZ1bDl9Q\nizbUaVheptZWO3XsyHxtb/BpW71T44cN0uThhRpZmKMtdR59bfwQba13a2RhthzekExJ50wqliRt\ntkfXBslKT9XXxg+RFG1Vs0nKyUyLTfwhSS98VqVzjipW2DDlDUXkDe4JW22qmnw6smSQQhFTGWn7\n7sXbfv/OJm+spU6Kdnksys3Y588eqFDEVNgwlZvZ8bawtd6ticWDunWcJk9QQ/J61rpiWZZ2t/ji\n1tD6aHODhhVkqd4V/3DBF45oS51bI4uy9cnWRpmmpY01Th07qrDD+2k7h65AWBmpKTIlfWV365Tx\ng3tUvwPlC0UUDJvd+n01uIMa1o1WKU9ngyYU/b/a7A5JpT2tJYDD3bpqx37LvLu+Lu77Jk9QoYgp\nf7j1QVlrr5j2swRWtY7n8oVNhXu5G2F3eyrQsoVkY8xWP5SMZ9ct7WYO9BvRQNVeTUtA9b5omZ0t\nfu1o3e/wR7RoQ718YWnZlnp5W4OWJLkChqpb9iTHQERatrVpzzGdPpVvb9SuFp/sLp+22PdMFb+2\n2q0lFXVq9htq8YW1bEuT1uxq0geb7dpc49SnWxr13qY6vbhql+wOn9ZXu7R6V7Mq7G6t2tGsHY0e\n/XPVLq3Z1aw31uzW1jq3vtjZospGj5Z8ZZcrENa2Bo92NHi0td6lL3c7FAwb8gUjen+TXe9tsGt7\nvVveYEQuf1gN7oA27HYoEDZkmJYCYUNf7Ix2rWgbeNzsDcUWYK5s9MRN9PDZ9iY1txs3VmF3xcad\nRQwrbv2knU1efdk6BX+jJ6jafQw67s4Ct+0nFwkZZqdT9ko9m4jiy12ObpfdW0W7hbW31bu1udrZ\nYV21HY1efbDJrsoGj2ocPlU1+7SudfKVrfVuma1/gNsGa3uDEVU2eFTnii7+HYwYCoQPzf+iYNjU\n+xvt3Spb2di9mbq6KrejKbqPxY0B9MSubszyWtXsVftJTysbvWrwBGMPZR2tQxya/Xv+ljW3Lh1j\nmmZs/G2Dy9/hPuboZCw1MFDQsoUD0hyIf6LkbfckK2TumYzDkuRv/XdVcyAuKHb2tKmhXZcxT0gK\nNAfkC9TLHTDjftaS9MnW6GLLvnB0AgynN6x/frZLTT5DL31epd3O6I1/RF6qlGJTbYtf3pBkuoJa\nWdmkrfVuba13a3eLX9sbPLJMS0FT2tXs1cdf1WlTjUefVzaryRdQhd2t8YNzZcnS9nqPdrX49eXu\nFtU6/NpY45Q7ENGy7Y0648hhqm7xam21U/6QIXcguo6Z3eWXN2DI7vIrMz1F1c0BBcKmRhZly+70\na8FHW3TDWRM1uWSQivIyVVHn1slZ0a5ua6ocWl/t1LdOHKlNtU6t2tmskYU5OrI4LKc/rFSbLa5V\nZO1uh4bkZqjZG9ZxowpU5/KrJD9bgbChiGnJ4Q1p1OAcBSPRWSfbt76FDVOhiCnTspTV2nrpCUZU\n3bLnD/HGGqeOKM6LdYd0BcKyTMXGrq3f7dB5k6MDqfY1hk2S/KGIMtNS5Q5EtKvFq8y0VL26pjq2\nv9blV0WdJ25iF0lq8gUVCBsq39qoSETaZHdp2bZGXXBMqVbvbNGQ3MxoN86QIV8oogZ3UNUOn9bu\n2jMb5s5GryYNz4+9Z9OyDqp7Z9vEFCkpNtU4/LFxf5L0+pc1+s4pY/Z7jA821cVaT7vSNrtmZ5Zt\na9KVp47TziZfXFfDWqdfw/IyOx3rBQAtrQ/eAmFDWempsjsDHcYqe0LhWDfCLfUeDS/MUqB1OQ1X\nIBybGKP9bMItrf82TUtG65oef/lwq8omDlVhdkas1X9Ho1cnjOndHhthw+y0+z9wqBG20CuC3WjN\n705bwt7HiUiq93V+cFe7wFfvif4RaGhtHWoLWpJU4zHkDjrlbt3kCVtq9gRU7fDLEzQVNrzyRaSv\n6r3Ky0pV0JD+9flu2Z0B7W7xy29Kzf6A3lhbq0HZaapp8ekru1tZGWnyhsLyBSOqcwdld4T05tpa\nhYyIwhFLEdPS/5XvUE56mlbvalGLN6Dxwwap1ulXxDLlCARV2ZCmrfVeba116YsdLSrf2qgzjhyq\nT7bUq2RQplq8IX26pV4ZaakaOzRHa3e1aO1uh3Y0+bSj0av8rDSFTFOpNpu+c8oY7Wz0akudW/as\ndDl8QZUUZGrZ1kZNGV6gQDhaT28wotRUm3Y0+hSKGBqck65gxJQtxabNtS4dWZKnTTVunTZxiBo9\nIQXCEVU2erS+2qljRxboy90tavaGdMaRw/TFjmalp6UoNcWmjfaw8jLStLMp2m3E6Qup1hnQ6ME5\n0fFvnqAyUlM0LC9D3pChFdubdMaRQ7V+t0sVdU41ekNavXPPotlf2d1KS+0YgPxhQw6/qTW7WxQy\noy19a6uatXa3Q1/sbFGLL6Tzp5Sq2uFTeqpkyaZPtjTK29o6GzFMffxVg0KmqWOGF+id9bU6ZkSB\nxgzOiYUR07TkbQ2DGWkpihimNte6NGpwjvKz0tXoDap4UPSDSCAcHTOYnpai/Kz0uHXf/CFDda1r\nzuyv62j7QLsv/pCh3S3efe5vm2lza4M7Lmy9tqZa3ztljApzoh9mGj3BWMj2hwxlZzCOsMUbUnZG\nauwhA9CfdfWgqzM1ruj9x+4MaFRR9OHc6p0tOnFsUazM8m17ep5U2J3KTrfJaI1f5Vub5GztrdG+\nJ0QwHO3pETJMhUxp6ZZ6ra126sjSQXL4o13iTdPSut0OnTBmz2t1h9u378nCDNPSrmafJgzL69Ex\ngUQgbGFAaHvatq8Jldx73ZPrvHsKNvujT+PCltTSujbZml0OOf1GXEAs31anwuwM2Z0BOUOW0m1B\nGZbkDYTlDEZr0ODxa3eTRyHDplDY1O5mr4pyM1XZ4FEoItU4g8pOS9GgrAwt3lijVCtNSrFptyus\nl7+oUn52uj7b0aTtjR4NHZSllVsb5QxE1OQJaMTgTK3Y1qKt9S5FDFMThuVpUHaGstNTZZimxg7O\n0d8+rdRxo4u0vc6p3KwMTSot0Dtra9TsDaowJ13/WlWj4fmZGlGQrUUbaxUxLL22ZreGDcrS2UcN\n06dbG/Ty51UybNEnlTabtHZXiz7YWKeIaWp4fqYWbbDrshNHye70aUlFnQZlZSo3M1Wrq5pVWpCl\n+tYnpE9+vF0FOekaPzRXje6QKps8mlCcp+H52fpiR3PrUgNeLdvaLLvLp9yMNDl8e9o7WwKW0lM6\ntn96WkN2RV10SmGXN6ydjpD+vqxSlc0+fbylQROGDdIHG2s1vDBXk4fna8X2xtgHj/XVDr20arcM\nWXL7w3pjTY0yU21yByOaOrJANptNVc0+vbe+VucfU6oxg3Pk9If18VcNuuSEkcrLTJMvaMiZGp2J\nsqrZK8MwVZKfJSldzd6Qxg3N1a5mn9ZXt8jeuqTBplqXjh9dqE21Lo0dkqPs9FQFwmYs6LR1AWyv\n0R1U2DQ1vCDaUlbnCqh8W2Ncmc21Th09PDpJi6v1Wn5++U4dXTJIowZHA9c762p0xUmjJEW7GFbY\nXRo6cVjsmJ1NuHG4CUZMpafapAEUtjzBiPI6GYOJ/quzsZ2dbfussknTjxgat63OGVDJPmbW9bab\n2n17o0d2Z6B1W1Gsy3tduynedzR6ZMlSIBh9wFPV7FWwdexWc7vu6RFLeumzquiampI+/apRVU0e\nfWV3KRiOKP+E0VqyuV7/+mKXrj5tfLdao8q3NerkcYP3OV39+mqHinIytbk2OmstkGzchYFONPs7\nprY6j6E6z57Wh9a/K7GgJUmbq92t3Saj26pdYTl84diaaNsbfDIlpdvafj4S+0+4qyWgSFNAaa37\nPtxYp+oWvyJmtIXvtVW1qvP41Dbbrb86Or4pNytNwZChiGHqky1NqrC75fCFVFKQKbvTq6VbHdrW\n4NXYwTn6rLJZx4zM1z2vrVOjOyDLZlOqLUXuQFirdjYrFIlofbVXNkmZaamyTEvLtjWoxWtoXbVL\nN/7fKm1vdCs3M12bat16a12NCrLS5A+b0Q92WWmqdwXV5ArqmfJKDcnL0ODsDDkCYTV7gpo4PF8X\nThmuxZvsys5MU4otusC1PyKlKNhhSYJwJ39L28YMtJ31dzfUSJI+3tKkUOvGJz/eqg27HcrJytB5\nk4tV6wyo7SHoR5vrZHcEtHa3Q42eoNZXO5QiS2HT1PdPG6exg3P1RVWLFm20qygvXW+vrdGFxw5X\nhd2lYxsLtbvZqwUffqWfzThaQ3Iz9N56uwZlpikQMXTtmUfExpg5/SG9t65GrpClOqdfX9ldGjM4\nR+VbG1VRm6ETxhQoGLE0qTTanXF3c/Ta+qrOpdFFucrOSFWzN6icdh+W/71mt7Y3xLeA/euL3bru\nzOgHigZfUHWugDbUurRse6OOC0Y0pihX2xvdWlJRr3OPLpE7ENHOJp9Onxj9+S11LhUPyox7HSk6\n1i01xaZgxJRlWbFWsTaWZanBHdzvkgbuQFiDsjqf/bH95C/tp7RvdAc19BBNYd/Wber9TXadOKpA\n44YNipskxhuMxL4PhCLKyog/T3u3WPa0RaG7ujpu23vYu847G706ZmRBpz/Tvt4OXyj2+zVNS8GI\n2a9bO/vajKOVjR6NH5qnNVUtPWq9CbU+ALDZ9vze1+1u0XmT42fB8QYjsbDV9ntd+Gmlph8xVGHD\nlGFGu4X/7ZPtmj9rStzPLtvWqBNHFcZa5LfWu7VkU53ys9NV7w3qhLFFemXVbkmSs92wqmZvdGbC\ncDh6Y91U44jdmzdUO9u/hBZtqlNbz8JVVc1yBwy9vGqXhg7KkmFYWvpVvSobfap1+rWpxqVJpXka\nWZSrOldAqTabhuRlqLLJqwlDo61UH26uV5MnGGtVk6LXrWlZSktNkd0ZkGVKq3e1aFDWnv+vu5t9\nGjU4R1vr3LGZj4FDgbAF9CJ/J+HA28nsjuF2g4zbdrcFi7Z925riP1RvbY5fOLJ1PhL5Wl/go4om\nRSTZ3dE/gjuag9rRHH3CuLXJr62tx9tc61IgLktGv/lsZ/wfyA821SojNUWNrd04V1a2xP60fbDJ\nrpx0mxp80S02tYaf1pkDZz/+sRwBU45AQNu0p0tJ03aH6h0+VTaHlKL49d4OdJ6qbU2t3fTandPy\nSockyRUO6ZUvdsvf7newZpdbYUmL1tUpNVUyTemDigZZkjLTU3VUySCt2NGsdbudWl/jVGl+lj7b\n3qitjV6lpFiqafFr+U6XctK3ypRU7/QrLztdOemp2tHoVSBiyhc0tLGmRat2NsuStGijXW+vrVWt\n068vdzu0aVeLfn7BZKWk2LRut0OjirLUEjD01toaVTV7NWZIrmyWFAgFNbIoT8GwqSOK8/T88ioZ\nkj7bvqd16+211RqaHf2g3OIOalVlk+pdIb1QvlObx7mUkZIiT0B65pPKaJdPm01b7E41uAPKSE3V\nexvs+mBTneacPkHDC7NU3eJXozva5bUgJ13lWxt19PB8NbkDGlGUI6c/opL8zOg6aL6w8rPTlZmW\noi93OTRqcE7cGMBt9R6lptg0KCtdW+vcmjAsT2ZrSBtemC2j3ZPptintv6p1a0OtU+dPKVF2emqn\nT7nbgt6wQZmy2WwdWnDaB7xdzT6NHpwjKdp9Mj0lRaZlxcaK2J3Rlr3VOx1KtVkaMzRPgbAhf8hQ\nSopUYXfr+NGFykxL1fMrq/SjMyaousWn0oJsfbKlQaOKclRSkKW8zDSFDVMvr9qlC48dofzsNNls\nNgXChixLys5IVb0roCG5GUrd6z01uAMaNqjr0FrV7OvQArmlzqUxRTmyu4IaNzQ3FrJ2t/g0qTRf\nLb7QPmcHrXHsWULA4QvHwlbYNLWz2aujWx8CtB+7E4wYSk9JiYW+tqUsAuGIIqaUnZ6q1BSbdjR5\nNLooV6mdhEPLsmRZkmFZSk9Nia1B6AtFlJPR9UeSzsYR7R00pWiXUJc/HPu9d6U7LSldPTCQol3W\nUlNssaDTdj22TVTz1yVbdf/lx6uldeKItvL70+QNqigno3UMlV+lBdl6bvkOnTe5VL5QRCm2aDe9\nx5Z8pXsunarMtNTY7/XDTfUKG2br0ichDc3L0EcVdTqyOE/fOmmU0ltDyf97c4NuOOdINbQmqddX\n12jx5lpNGDZIdqdfJ44u0htfVneomy8i+Zyh2Cxr76y3x/4+1O7VlWRnkzf2d257g1sBQwoYkrcp\noKeW7VCLOySfKa3b7dDSinq99HlIt114tLbUubWj0austFSlpkbHgrV4Q/pkS4N2Nbnlah02sHx7\nozbbXZo2doi8gYje3WjXqeMGa9lX9Upvd57f22jXj8+YoGfKd+j7p47V0NwMDR2059ozWruPp9hs\nys1IjYXcvdfTBHqKsAUMEG1/3vY3D12gmxPxuYJS+wjU/rjesORtlxj3fs3Njften6CyOfoH8lAt\nL+zfqydi23kKSXsGEra+gbfW1+uDjfUKma27TKmyOaBdzQFFJP17TV3sRz7a0igZUlBSpqKB07BJ\nGamSZZPWVTWryhl98T8v/kpNnoi+2NmiYfkZqvEa+tP7G+WJmBpRkKe2hpE7X/1Sw/NzdMqEwfpi\nZ4uqmz067chSWTJlk0321qUGrlu4IvZ+djvD+uMHX0XfqyH9YVGFTEmrq91q9PjlDka7w26we/Tk\n0m3KSU/Vmp1OpaSkaFRhrsq3NcruDMkTCOv8ycP19voauQJhfffkUUpLS9X/Lduhy08aqfc31Sk7\nLU2zy8ZpdVWz8rJS9fqXNSrOy9QRxflaWlGv6RMG68rp42RZlr6qdemZ8h2qcQX0pytP1Iuf7dCZ\nR5Zo9JBcbah26IK84frNy1/q1984RkeXFujFz3botAnFevGzHSrMyZQrENbJYwdrZFG2ttR5VFqQ\noapGv44dVahQxNBrX1ZrxuRSOQNBZaWl6YhheQqGDfnDhjbb3fKGIxo/OFdb692y2aRRRTlasqlO\npiUdWZqnjTWmxgzO0rKtjUpJsbRie6PqXR5NnzBEUoqc/pA+q2xRdnqKtjW4deLoIj2xdJuOH1Wg\n9zfX6YyJw1TnDmhXi1dnTCxWXmaaXlm1Ww8t2qSxQ3JlWJZSZNOUkQVy+kPKyUjTqp3NsjsDmn3q\nOGWkpai2xachg7L09rpaXXPaeH1W2aSS/CyNGZKrGodP2elpSkmxRVu7DVMuf1i+kKF1u1s0eUSB\nPt/RotyMNNW7AirMSddrX1brvEkl+rKqRaMH58iyokFq5fYmXTR1hHa3+DSqKEfVDp92N/sUNk2V\nDspSdYtPwYihgux0FeVmyOUPa+2uFuVkpOmreo/KJgxRSopN5Vsb5A0ays5K1dCcDBXlZio9NUW7\nW3wKhKNj/yYOG6QPNtXLMExNHVWk48cUSorWY3BuhipqnXIGIhqUlaaJwwZp+fYm+UJh2WTT2UcV\nKy3Vpqomn0xZOnncEDV7ghqcl6nqFr/q3QGFTUPNrpAcgZAy01KVnZGqo0rylZ5qi7WMBsIROf0R\njR6co4hhavn2Rh1Vkq9gxJTDF9SEoYOUm5WmJk9QW+o9ykiVJgwdpJQUm/Kz0+X0hVSQk6Fg2FCD\nO6CdTX6VHRGdvKbFF1JaSooMy1Jaik2bap0qyc/WuKG5emHFTl04dbg21bh00tgiba1za8yQXL29\ntlo/nzFJW+weHT+yUMu2NuqUCUPk9oUVNk2NKsqROxjRkJx0ban36thRBfIGI/IEIirMTteuZq9W\nVDZr5pRSlVc2qdkbVLUjoOomn1LTbFq0oU6zyzza3ezVxGF52t7oUcCSPtxcp88rm3R06SANHpSp\ninqf3llfq+PHFGns4BxVNnr0ZY1Hr67eLW/rDXnFjiZ5wtL6GrdMSU8s3aadzfuelKftPt6uB3iH\n8dm72/18c7sx2Iak6nbNZcu2NeqNL2uUkZai/+//VqolYCg7PVW5aakKGpaOGdEiX8jQFrtHm+2e\nWNB7Yuk2bdrVqC/GlyhkWlqxo0lNTr821vnkDNbEjv/22hodMSxXy7bW69iRhVq5vUH/872T9P5G\nu04cM1iBsKHUlOj1N25obuxhRIsvpIKcdDV7gsrJSFVWRppWV7XoxL1aKduPhY0Y0d4ee/cIkOJb\nyxOlr7XuHu5sFnME75fL5VJBQYGcTqfy8/OTXR2Nu+PNZFcBQBey0zqGvIORpt5fKyZFUrqiYVGS\nctKkopwMuf0h+SLSyPxM7XQGldpaNlVSQNIxJZmKmCna1uBXpLVu44dkyROMKGzZ9Lc5J2tzrUsv\nf7Fby3c6lZ0mXXXKKL2wYremTRisopwMNbt9GpafqVe+bNCEogzNu2CyfvXyl5o+drA+q2xWXlaK\nwoalY0cO1qkTB6ui1q3NNS0alJ0h2aTdTW4Zhk2XnzxWb67dreJB2brm1DF65csaFWSlq9YV1O4m\nl2adMFqf7WjR8EEZOu2IoXp+ZZUCpqkpwwtlGmFlp6fptbX1mjw8T+tqPcpLlaaMGiTTNHXS2GF6\nceUOlRRkq8Ht15HF+VpZ5dKs40r1wUa7LjhmmL6oalFxfo6OGzFII/N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26de//rUuuugi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\nCrKTIw00tT8AAAAASUVORK5CYII=\n" } }, "id": "9939cd55-ffcf-4e52-9bab-c6d469432690" }, { "cell_type": "code", "execution_count": null, "metadata": { "linenos": "" }, "outputs": [], "source": [ "normalizer = oms.Normalizer()\n", "param = normalizer.getParameters()\n", "param.setValue(\"method\", \"to_one\")\n", "normalizer.setParameters(param)\n", "\n", "normalizer.filterPeakMap(exp)\n", "plt.bar(exp.getSpectrum(0).get_peaks()[0], exp.getSpectrum(0).get_peaks()[1], snap=False)\n", "plt.show()" ], "id": "89c7fd8c-fec5-45e7-a7c1-c140980cd366" }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## TIC Normalization\n", "\n", "Another approach to normalization is using the Total Ion Count (TIC).\n", "This method adjusts the intensities so that their total sum equals 1.0\n", "in each mass spectrum." ], "attachments": { "img/after_normalization.png": { "image/png": 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BcAIAABiBfKFI3HW8QUsRi+p7gERwAgAAGJF6MgFuxDJinlwgiuAEAACALjU0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\nAAAAIA6CEwAAAADE8f8DsPUQx+V1JJwAAAAASUVORK5CYII=\n" } }, "id": "488c9786-5a29-43eb-91c9-3b18e540fba9" }, { "cell_type": "code", "execution_count": null, "metadata": { "linenos": "" }, "outputs": [], "source": [ "param.setValue(\"method\", \"to_TIC\")\n", "normalizer.setParameters(param)\n", "normalizer.filterPeakMap(exp)\n", "plt.bar(exp.getSpectrum(0).get_peaks()[0], exp.getSpectrum(0).get_peaks()[1], snap=False)\n", "plt.show()" ], "id": "b8f7249b-e954-4ec9-9905-2a9d7242fc48" }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Spectrum" ], "attachments": { "img/after_normalization_TIC.png": { "image/png": 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8lJSU4OjRo+16PLNmzcJLL72EI0eO+GwPDg7GK6+8gnnz5mHixImYOXOmPM1+amoqHn/8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