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%% Cell type:markdown id: tags:
# Python course 2023 - Exercises B
%% Cell type:markdown id: tags:
## Part3 - range & enumerate
%% Cell type:markdown id: tags:
---
3.1) Write a script to print 50x "here" and the current value of the control variable!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
3.2) Write a script to walk through the species list and to print the character from the species where the index corresponds to the current control variable value!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
#Bonus tasks
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
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)
%% Cell type:code id: tags:
```
```
Excercises/Python_course_exercises_B_loops_part2.ipynb 0 → 100644
View file @ dfaf1f44
%% Cell type:markdown id: tags:
# Python course 2023 - Exercises B
%% Cell type:markdown id: tags:
## Part2 - loops
%% Cell type:markdown id: tags:
---
2.1) Write a function counting down from 1000 to 0 and printing all numbers!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
2.2) Generate a list of species names! Write a function printing all species names starting with "E"!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
2.3) Expand this function to limit the printing to species names which are additionally shorter than 10 characters!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
2.4) Expand this function to limit the printing to species names which are additionally ending with "a".
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
## Bonus Tasks
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
Excercises/Python_course_exercises_B_part1.ipynb 0 → 100644
View file @ dfaf1f44
%% Cell type:markdown id: tags:
# Python course 2023 - Exercises B
%% Cell type:markdown id: tags:
## Part1 - control structures
%% Cell type:markdown id: tags:
---
1.1) Write a script for guessing numbers!
%% Cell type:code id: tags:
```
a = 3
b = input("Zahl eingeben: ")
print(a + int(b))
```
%% Output
Zahl eingeben: 5
8
%% Cell type:markdown id: tags:
---
1.2) Add tips (smaller/larger) during the guessing process!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
BONUS TASK
1.3) Add additional tips (e.g. much smaller/ much larger) during the guessing process!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
# Repetition functions
%% Cell type:markdown id: tags:
---
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
Excercises/Python_course_exercises_C.ipynb 0 → 100644
View file @ dfaf1f44
%% Cell type:markdown id: tags:
# Python course 2023 - Exercises C
%% Cell type:markdown id: tags:
## Part1 - file handling
%% Cell type:markdown id: tags:
---
1.1) Count number of sequences (number of headers) in AtCol0_Exons.fasta!
%% Cell type:code id: tags:
```
from google.colab import drive
drive.mount('/content/drive')
```
%% Output
Mounted at /content/drive
%% Cell type:code id: tags:
```
datei = open("/content/drive/MyDrive/Python_Kurs_2022/Python_course_2021_data/AtCol0_Exons.fasta", "r")
lines = datei.readlines()
datei.close()
```
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.2) Count number of sequence lines!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.3) Count number of characters in document! (How many per line?)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.4) How long are all contained sequences combined?
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.5) Calculate the average sequence length in this file!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
#Bonus tasks
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABdsAAAA0CAYAAAByxuFVAAAfC0lEQVR4Xu2dW+htVdXAp1AdERGMo09REUgYkQ+mib740FOSUaIHzeON8AKlouSFEi1NkiC8oIKJN0o4IF4eDMJLkCiiPqSCEIooCl4RRJIi4fsa+2P+v3nWmXOOMeaae++19v/3fynPXpcxfmPMMcYca6659vuf//4F/iAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEGgmsB/N9mZ2nAgBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQWBCg2Y4jQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARGEqDZPhIgp0MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEaLbjAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBkQRoto8EyOkQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAZrt+AAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAYCQBmu0jAXI6BCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQIBmOz4AAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEBhJgGb7SICcDgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCg2Y4PQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARGEqDZPhIgp0MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEaLbjAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBkQRoto8EyOkQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgdk22//4xz+GCy+8MPzhD38IJ510EpaEAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCKyNwGyb7f/617/C0UcfHb71rW8FabxP+e/dd98NBx10UDjggAOmLKYq2xNPPBF+8pOfhI8//jh8/vOfDzfffHPYtWuXet7UDpiTPd58881w/PHHh+OOO27yfj7GzpuuZ2ns5Hxx01mM8ZO5nRtt+ZWvfCX8+c9/nkwOwMfm5knIC4G+BKYam/pqOc2rrTv+bkotP03rrkeqnjZdt39aCc5pLmfVKT1uLnZo0W0q50zJh0r2xg+m4i3bU45W/5vS2IqWW1fd27XZ/tlnn4Xrr78+3HjjjeF73/ueuTko5+3evTv85S9/qXqyNKv//ve/h507dy6O++Uvf7lY2S5NjCOPPLJ67rPPPruQSZrzpaZHXC1vOcaqX7zvUPa5DdnooJ9++mk48cQTw44dO8KXvvSlcMUVV8xKlbnZozXIzcoo/xV2k/UsjR15iCJxZBgbNpnF3PxyrLzrSuya3PiYRojfIbDZBKYamzab+v9pt874uym1/HbwE6uOvW26Tv+06jy3uZxVL5rtLaTazpmaD9Fsb7MjZy2XQEs+mNrY2phm+9tvvx0uuOCC8PTTTy90sjaj5djYpH/mmWeyHvPvf/87vPjii/s0paIxL7vsMrXpG1fCv/fee9nmfNrwrzXGpcF/2223mbevKTX54/2efPJJ08OC5Q4l/epz2bZH42p56KLT6HeEJm9LkPNKp8mQu17LOTW5VqGnl0uv40tjp+SLm8yiF9O5XGeqDa1N9rHesWkuvoac/Qlssi+tKzZtMtPogZqO64y/c6nl+4/mzb2i16ZT9k+rlaY2l7PK7TlunXHCI2fLsZoPtlzTe87UfIhmu9eCHL8KAi1xaGpjK3JaV93bZWV7TPSytchpp50W7r33XlezXXOWeP1hAz820L/4xS+aXtGPjfJccz5eSx4ayF9uL/h4zEcffbTXCntN/lU0K1tk8JzjfcjguXbPY6eQwD36aPK2BDnP/eVYTYZV+O8q9PRy6XW8d+xsMoteTOdynXUldo3PJvtYSzzTePH79iSwyb60rti0yUzjKNF0XGf89dYj23Pkz0trr02n7J/zIr9cadcZJ5arWdu8c9kyrfv6NNvXbQHunyOwSXFoXXXv6GZ7bEAfe+yx4fe//3146aWXFo12z8r2mnvXigKtYBheNz5pyckWf5N94J977rms/D2N5JV93SHAW8ytS965cdXkXUWQ02Sg2T7Om71jZxU2H6cRZ1sJ9MwZ1ntajttkH2uJZxZmHLP9CGyyL60rNm0yU5rt2y9GTEFjb42pjcFNrg+mYC+rDJtsB80HrYw26Tia7Ztkzc3RZZPi0Lrq3tHNdnGn119/PXzta19beFatod3ietqrCJ4iI0L+z3/+s8/KdFk9f+mll4Zbb701/PznPw+5D9rFFfbpyvh4zfPOOy+ceuqp4ac//eliKx3Z9/2BBx4I//znP/f5wGWUOcdjuKL+b3/7W/jd7363tT2PvD1w5ZVXhnPPPdf8sT35SMEdd9wR7r777sXHTeVPHo786le/Uve6jzoPZY1b7bz22mvFhyslp06ZnX766eGWW25ZvEkgf9/4xjfCTTfdVJRLPgJ03XXXLbYVkr/DDjtswV14yPcCZIufGlctaAhv+fCrbO8T/4SV2ODwww/f69Jj9JALWfwglfeee+4Jv/jFL0ysrDa3yDDkaT3HKoNcv2QXGf9i39x49IyN3LGnnHJKuOGGG6rjyKPDkJM2dnKxocYiXt+j91CmVp/1cNDuIWNdxtJw6zGxhzywzX1IeozOPWUvxSaZONx3333h2muv3fqA9M9+9rPwox/9KJxwwglZ/83FKY+stXxai5PCd9lxJfXjUm6Ub6+06Ds2B3jHkZbj4zdkhvbw6raKGGXRRXw5zTNDveJihVqt15r7lxkbtLg0HNvWPNdqN+Hq8RGv/NFuY2OTxWfkXpYYbWE61q9qdbjEIk/N2WJbi46t8dfKOZcbrPVILV633H/Pnj2LbT5l7hHnL+ecc06Q+7zzzjt7vZXcYvsx8dzjC3KfWu558MEHw4UXXhhK25rm5o+lHG6dh2g2zeWmqfpnGq8s+Sc3Z9AYl363xK5hTeP1nZytqdP2pdLaA7HmqfSOWnPbmy/G1vSaPMcdd5z6LURrzrL6fNRpu8TxdP7pYWTl3hIH0hzXqz/lqbVr9Yr04C655JKwa9euvVTTfLllbHnsMbburc2vW37r0mxPb9yz2R6ffMqHU3Pbush9teSaylZ6khr//amnngrPP//8wnGGe6mXzo0O9d3vfjc8/vjji4LyiCOOCK+++uqioZ9rqInDPPTQQ+Hhhx9eHH/SSSeFAw88MHzuc58LUoTGpm66PY98lFSOiefUPuKa6vzCCy+Ek08+eXEfaRrLwHjrrbcW+knhq31cVs7/05/+tNBFGtzxGvvvv3+46qqrqm8yaBPuyEw+uirbD2lyxSJR5B7yEP845JBDVK61ZntauEabyMOE+B2CoQ8ObW/VIw2cmh/Eexx66KHh/fffD5Z7eGxu9cXUpyzneGRIi9i0mIixJOennrGRXif6jfjahx9+WN1+yqvDMABrY+eDDz7Y50FciUW8tkfvXEJo8Vkvh9I94liSYubyyy8PV1999SIeSUyJ8SUX18bo3Et2T2xKY1m0gSVee2UtJXwtTkpsW3ZcSf24lBvfeOMNd27SdLPkgLRuyOWSoa20HJ9raHhtuaoYpekiNYa83ScPwmKuj2MzbhMo9pQHSC2NsXXGBm/ss+S5VruJD3p9xCt/jA/pmGmJTZrPiP9bY7SHae4NVGtNWarDPTVnq20tOrbEX2/caq1HSvHaY2fN92RRzcEHHxw++eSTLs12q//l8pKlppbztNzz7W9/e1HP5RaGeFbxeuYhWo1ZWriwjHnHWP+U89PtXLX8k5vLleJDeu3hd9tW4Tu5Wk3zJ+q0/+/vLKtO0xqCnnyRs3Frjh821Wt9i1z/LeWVm+t6fH4Y+9IaYhPjuIw7byxrrRUseWUoj5wzpj/VMg/P1SvSS9mxY0e4//77F7yGD5l7j61ePuuZk5fm2C3/Pulmu7aqXRT2NvdzzfmY4GWSLb/XjhnuDx8dSor7XEOl5HBa8VUqGuS8a665xvyRVuEjK6IvuuiivVZml/bBLzlR6Q2CMRNuYSYTKll1H4vCklzxPhLc5YFD2uCQyY00WeQhhZXrMJmlX05+7LHH9mIlqw/kgcXww7mp7a16DPla5fWy8thckyHnE9o5Xr8bjpP43zIRGj4Q8owNTc5a0PTq4B07WjIqFVzDyZwnJrT4rJdD6R7pw9Nhci59wNpj6xz/XrKnxdewCZTGDmlMxtgkDUs5Vv7X0mz3ylrSV+6pxclV+0FOf6++vXOAdRxpOX6s360yRmm65Gqfknw9c/8qYkOLz/fcxnDoJ17/b5G/R2zSfMYbozV/H+tXtTrcWkdpMmqTLe38Flt6ObfWI9pcxho3W3xvjO2tcrWwt+QeWTiwe/fukFscZp2ntsxD0oZNaVHaKuYdPfzTk39y9XNt3OVs4JW5xXeo03ZuIWiZq7eMa0u9LUJpczBrvijF2tYc39Js13JOlNHr89stjksfycPIyn1MHGjJC8uYh+fGQ8k/eo4tjz3SvvCwZ+edk2t1nuf3STfbax80jUpai5haoInXiE9mck5Suk88Nrc1TS2YawO0tj1OyYk9hvdeYxnN9twKkNKgsm4XpHEt6a1dP/d7SdbU7jkdUztZ5fWwKvlBSXdNhpZmu1eGVLbf/OY3ixVCuUa7NrEY6tiimzaOeo0dLRkNC64eMaGHzw5jqfWhQK1hnf6WThh76Jyzp8beM95qearGW/MzjXPufC2OaQW3J3Zp8mm50RsjrLppY97rU616WP1Ok9fqJ+lxmn+X6hVhI+Nv+IAzNkHSsdmzMbaK2NAS+5bZbPf6f4v8PWKT5v/e8aT5+xi/0upwa1zXZNTGpHb+GFvmGqqemqRkr952bvG9Ftt7/a83+9QXSouFrLlLO670u3be0F+n6p+e/FPy+dLb7jlGq/Ad6rR8tNR8sNU2pRxgrce0GniZNb1Wt9W2kdF4Rv29XLdjHPcwsnIfEwe0+O7tT9UW2+Zq/ZrPpwtl0tpE82VrLebt+aTH57Z06zF+tfov9/tkm+1a4ReV8Tbb4wrKjz76aGvf9mGCzx2Tc8A0KJeCYEuDM3Xe+LpIajxJJvLqhvXprZwre4PKqktZdSF/8RrWD9kuo9meYxbZp28QeIKZdmzOHto5aSMgt1+/VY/cANTuXZtE5Vil97DaXJOhRe54jlWGqGfcLkf885FHHtln7/6WsRFjhLxaJ/uCyzcZvvzlL5vjpVWH0gW1ya1lFUOL3p7iUo7t5U81nx0+2MxNVOMY66WzJ/55x5s2dloSe6u/abKkrL16tsQVawPIoq9HN0uDVPKgNbda9ciNN4tuct6qYpSmi6fZ0dIYW2dsaPF5ze/G2m0OsanGrSVGW5m2bCPjrcNreW+MbTUdvb7YwrlXPSLX8d7/C1/4wmKV93A7zihTKS96Y4pXruH3SmRel/6NnX/k5o65f2utqT2N5FqBO1X/9OQfrZmTNl1zNliF77TaeThOWuaY1tpDqwk8cznNr1IeU6jTNB9q4T6mDmyRJ72flrO8Pr8d47iXkeQUjfuYOGAZU7m80KvWFtm1GJF7INPiy7X8a52ztfqsuSHUeOBkm+21p2m54GJtGsu5afPrBz/4waIoHH6oJ3eM7OmebhNgccKxzfaaXS3Ndhmolo/NaP6zzma7tVhNJwVakZ8mUcv1c08CvROmloDbcg+vzS3BfCi7do5Xhqjnd77znbDffvstHgrlnkqmidAzNoYf1pBtNuIHQkrX8erQa3JbeyAUH5aV7qXFhFX4U68k32rrYUHviX9ePto48DTbx/qbJY6NmcR55dMKNM/1PLpZJ3HW+KHpUYrrHr+Ta6wiRmm6eF7j9zbGtHqp9UFcDzuWHjRq47vVbrFW8fjIumKTtdlutYPGtLdfaX5Xe8jcMiZb69DIT5twWjn3qkdSfaz1R+uE12v7lhrBO448uWc4v5QHutYFYZb7jF05H31CG4NeRi12yPmnJ/9oc+t0O5+cDVpk9nLJ6WixM3XaZ1tbMlnjnVbb5K7TqyHYaw7ZIs/w3rWc5fX57RjHvYziFsjeWsEaByzHeftTnlpbq5/kd0+z3xtDvfZo9dlanOnx2ySb7aX9e3MKWwuZ9Nz0nLhlRWkPb2n4nXrqqdkPGVqcUCsIck1hrRDyGD42yaUJd/vtt2/tRe5NTOtstnt4aMfWGpmlBr03mMjx2irhZRW9abFvtbnGLOdv2jlev0vtcuedd259pG/4yrR2X21syGoP+UbAjTfeqH4g2KtDr8ltq49qumvxquSzXg69m+21canp3FP2llVvnma7V9ah7p6x4S14WuKKlmM8+np0szTbPT6l6ZHzQY9uw/OXGaM0XeLv6QfV4wdSS98q6LUC2TMB8PjD2MZFbYVuajuP3XqPp2XGJkuz3TOeNNt5G65aXtN+t9RqXttqOnrjr3Y9LQ+mv3vftJNzvffXji/lRa/ttfvkuCyb/VAHbQsA61ygNA9JY0nvPdutK3tb7FCzjSX/WOrMmJtyNmiR2es7LXOn9JyW+3lrD60m8FzPw3QKdVpLc9uSL6INPexqeUqzUc7PcjnriCOOqL5x5J1TbGIc9/iwlfuRRx65z6HW+1iO8zS7RRBPra3VT2n+sez84I1pFv1TuNrxnjm5p67Sjp1ks93z8c7Sa3U1xdNgeemll4Yzzzxzsco1fvU3dS7ZV+iqq65afCCzZa/ElmZ7S/HkTere4K0V6J79l7yDzcPDOtA8+2GnT9Yse1KJvNaE3Cpv6R6167X6ote3WmQYypa+ljXcP9g6eanFgNK2UJaJT++xY9lGxjMGanp7x14PW6byeJP8GFv3ll17GFHLD2O+3eDxNyuvdftBi22sumkx1Xqd6Lce/nJOi265MbuMGGVtnEq98+ijjwZpesj2W1deeWU499xztz5kPqyRJEbHFT613ywNktwbTbk6r6cdx6xsH9pOs1urj3jHrJYzrJMOzf+9dtDGZ02u0m+ajC3sWsakpX7QJq8teUab6KW/a7V8aSser51rx2t29MwnvHK1+ILnHulKxFjvpNti1mxVu09pHqKNc2/9vi7/TOOCJ//UHgjIdrE1G3js2solx996X6+vttQe1ppgOA8rnWfVTcsD1uu01mk1e3q5e8eYt8mv5TfPXNfLdTvGcS+j1lrBep+WvNCz1rbEiOGHwb0+XuppteS3Fp/11FAtx6682a6tWtd+Hyppddb0vDTIy3YSr7zyyj4fBLMcoyVf7fea7LFAKG0LkX7Vu2T4UjKTf7/mmmvCbbfdFqzb75RkLdmr9tXflkQWJ7A5Hs8880w4+OCDt1btWwZa6U0GaRg89thjW9cStk888cTiYcvw3i16eAsv7z1abd4yjkrntMiQ07Nkc8/YEP8866yzwtVXX72XTTV9W3QojUPv5LZkc4/eJVlW4U89k/wYnVts6OUjnEsyxmtJw1Lb3qdF1lqBp8VJr54t8lkKtOGK2Fpu6pUDvD7lneh4Wa0yRlnsftBBB4WHH3447Ny5s1pT9s793gdxPe1Yezheq31acotA9fqIVkuW5O8RmzT/99pBmzz19qsWdq1jMh0wLXVobcLZwtlTb/a2c4vvtdjey8USA4fNcU/uEebx+KOPPjo899xz2S0Rc7aJunjmIdp48talLeOlVgfF+2tz1mh7a/7R/DWOP1lMd++992ZtsArfoU47YAuBZ67e0zbe+VBLjBjeo2eO13w95g1LPeLluh3juIfRmFrBmlda8kLPeXg6l5WeoewOEBfXePtjLWPLY4/WObm391ydHGV+7NJsv+uuu8LLL7+8uPxbb721+CjOYYcdFo499tjFv8kqhYsvvnjx/1Oj5VYC1pzPGswsEOJ95NhSI8RyjBYEa7/H68vKsdNOO23BTrasiSvsY7EgMgpLYRo/bCr/ZnllML3HiSeeGHbs2LG1Yk2uMbbZnhZ6oke8h3zAVeR9//33F/ZPV761DLZ0VUe8z4EHHrhoCkgzK2VR41q7d8o7fjzvtddeC08//XR2y5EWPWqFV84PWu7RYnPNF71ye2Uo6RltMvRT69iIAVQe/sQxFG2qNUC9OpTiTq9mezrWWmPCKvypZ5Ifq7PXhi18hrEpxnLJg/IwVx4EfvLJJ3vFQG08tcZqa5xs0bMnS9Hfez2rbsNrj82tWo4fa8tVxihNFylqpQaRnJr+SdPoq1/9arjooouyDy175H5vs90bG1p8vuZLJ5xwwtZ2Z97c0uL/LfL3iE2az3jt4BmfPfwqnXdYt8UYMybjuGmtQy0Pflrzf2qr0tu8pZXtXjvXfK80N2iZT3jl6jGOJD+X5h+pv8U3g4argku14lAXyzykZtPafabon578o8WlmE+EgcSRkg2sc4mWOFLib61lWnzVW1dpHL3Xs+rmyQOWeKfpkbNF6ZwW7mPrwJp/WXTz5CyPz2/XOG5l5OE+9BHPWOnZn/LW2tH/vv71r4d//OMf4dNPP93qWco8V/6s9UTr2LLaQ2RpqXu13nQtl1p+G91sT5Uq3TBtasUVz++9915xNfnwdYTSdSMc7RX9WpCVYuiSSy5ZfDR1+PfCCy8sVjTLMblXm7Xka/n917/+9WL/aPmTJ0WPPPJISPd3kqdG1113XXjxxRcXx0jRcNRRR4Xf/va34Zvf/KbFxmHPnj3hiiuu2JpAy8RQrnnGGWcsHjRIMtX+tNdY7rvvvnDttdfu9dq5XP/4448Pw1UirYNNfC29j8gsRbs0B4avuJe4akkrx/uHP/zhPk0GzbbWbWQi9xZ5a/dosbnmizkfqZ3jkaFkF9FRxqA88JBvDuzatWtLDOvYkJhzyy23LJJBHEOnnHJKuOGGG/ba+iCnn0eH0hjq2WyXe1j1rsU9a9MhXsPDoXezfazOvWSvjTeJTddff/1WLJc4LduPnX/++dkPcJd8xSNr6RqWONkagz3yabFW5PdcT4636KbF1Pi7dRxZ9BgbO1YVozRdYqySh0RSZ8S/uG/7sGkxtEfccqYl93snAD3tqOXrUp4bYzev/7eO2bGxSfMZrx0s47OnX7XWamNtK/ftXdeNzYVyvrceGcY2a9yM8XqYF2+++eZwzDHHLOYGubmb1/Ze/xszjqzzj3RerC3qyOUOzzykZtNSjaCNwVZGY/3Tk3+0uCQx/eyzzw7ST9BsYPXpMVyGtrDUMq3389RVGkdvnppTnbbsZruXXYs8qV95cpbV57dzHLcy8nBviQO1HNfSn/LW2tEvzzvvvHD66aeHCy64YNGTkT+ZK9x000179S1rNVdrTPPmFm/dW+tNa3nU8vvoZrvlJss6puYwy7on14UABCAAAQhAAAKbRCDWU6W33Vq+j7NJfNAFAhDoQ2DMQqk+Eiz/KtpWhcuXYF53IP/My15IC4HtEMexMgR6EJh1s12KGVmt6nlFrwc0rgEBCEAAAhCAAAQ2hUBsdvz4xz9evAmU/qV76Vu2r9sUJugBAQj0J7DpTZr0I6nyVpD2/Yv+hOd3RfLP/GyGxNubwKbH8e1tXbTvSWC2zXbLq089QXEtCEAAAhCAAAQgsIkE0r0n4/dDRE/5Tsyjjz662CJOex1/E7mgEwQg0JfApjdp4ltA1m9i9aU7z6uRf+ZpN6TevgQ2PY5vX8uieW8Cs222x2KGVVa9XYLrQQACEIAABCCw3Qi8++674Y477gh//etft74TIwzkA6my/+33v/999TsX240Z+kIAAj4Cm9ykifu1y4fjeOva5xfkHx8vjobAOglschxfJ1fuvXkEZtts3zxToBEEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQjMlQDN9rlaDrkhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEBgMgRotk/GFAgCAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACcyVAs32ulkNuCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQmAwBmu2TMQWCQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwFwJ0Gyfq+WQGwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCZDgGb7ZEyBIBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIDBXAjTb52o55IYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIHJEKDZPhlTIAgEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQjMlQDN9rlaDrkhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEBgMgRotk/GFAgCAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACcyVAs32ulkNuCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQmAwBmu2TMQWCQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwFwJ0Gyfq+WQGwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCZDgGb7ZEyBIBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIDBXAjTb52o55IYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIHJEKDZPhlTIAgEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQjMlcD/Aq/jswf4sjnzAAAAAElFTkSuQmCC)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
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)
%% Cell type:code id: tags:
```
```
Excercises/Python_course_exercises_D_part1.ipynb 0 → 100644
View file @ dfaf1f44
%% Cell type:markdown id: tags:
# Python course 2023 - Exercises D
%% Cell type:markdown id: tags:
## Part1 - writing files
%% Cell type:markdown id: tags:
---
1.1) Read the file AtCol0_Exons.fasta and write all headers (starting with '>') into a new file!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.2) Read the file AtCol0_Exons.fasta and write the following:
* Line if it is a header
* Length of line if it is a sequence line
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.3) Calculate the number of sequences, the cumulative length and the average length in a new file! Are they matching the values of the original file?
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
1.4) Write sequences into a new file if their length is a multiple of 10!
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
---
#Bonus tasks
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
Excercises/Python_course_exercises_D_part2.ipynb 0 → 100644
View file @ dfaf1f44
%% Cell type:markdown id: tags:
## Part2 - characters
%% Cell type:markdown id: tags:
---
2.1) Read the file AtCol0_Exons.fasta and write the following:
* Only Arabidopsis Gene Identifier (e.g. AT1G01010)
* Gene Identifier, exon name, exon length (tab-delimited)
%% Cell type:code id: tags:
```
```