From 7233b8ee67a80a5a2ab0cc3150337d81542b9554 Mon Sep 17 00:00:00 2001
From: TiagoRG <35657250+TiagoRG@users.noreply.github.com>
Date: Sat, 19 Nov 2022 17:56:26 +0000
Subject: [PATCH] =?UTF-8?q?Exerc=C3=ADcios=203=20e=204=20da=20aula08=20adi?=
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---
 1ano/fp/aula08/README.md     |  6 +++++
 1ano/fp/aula08/interests.py  | 44 ++++++++++++++++++++++++++++++++++++
 1ano/fp/aula08/primesupto.py | 28 +++++++++++++++++++++++
 3 files changed, 78 insertions(+)
 create mode 100644 1ano/fp/aula08/README.md
 create mode 100644 1ano/fp/aula08/interests.py
 create mode 100644 1ano/fp/aula08/primesupto.py

diff --git a/1ano/fp/aula08/README.md b/1ano/fp/aula08/README.md
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+++ b/1ano/fp/aula08/README.md
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+# Fundamentos de Programação
+## Aula 08 - [Slides 1](https://github.com/TiagoRG/uaveiro-leci/blob/master/1ano/fp/slides/tp08-comprehensions.pdf) - [Slides 2](https://github.com/TiagoRG/uaveiro-leci/blob/master/1ano/fp/slides/tp08-sets.pdf)
+### Tópicos principais da aula: List Comprehensions, Sets
+
+---
+*Pode conter erros, caso encontre algum, crie um* [*ticket*](https://github.com/TiagoRG/uaveiro-leci/issues/new)
diff --git a/1ano/fp/aula08/interests.py b/1ano/fp/aula08/interests.py
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+++ b/1ano/fp/aula08/interests.py
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+
+def main():
+    A = "reading"
+    B = "eating"
+    C = "traveling"
+    D = "writing"
+    E = "running"
+    F = "music"
+    G = "movies"
+    H = "programming"
+
+    interests = {
+        "Marco": {A, D, E, F},
+        "Anna": {E, A, G},
+        "Maria": {G, D, E},
+        "Paolo": {B, D, F},
+        "Frank": {D, B, E, F, A},
+        "Teresa": {F, H, C, D}
+        }
+
+    print("a) Table of common interests:")
+    commoninterests = {(p1, p2): interests[p1].intersection(interests[p2])
+                       for p1 in interests for p2 in interests
+                       if p1 != p2 and list(interests.keys()).index(p1) < list(interests.keys()).index(p2)}
+    print(commoninterests)
+
+    print("b) Maximum number of common interests:")
+    maxCI = max([len(interest) for interest in commoninterests.values()])
+    print(maxCI)
+
+    print("c) Pairs with maximum number of matching interests:")
+    maxmatches = [pair for pair, interest in commoninterests.items() if len(interest) == maxCI]
+    print(maxmatches)
+
+    print("d) Pairs with low similarity:")
+    lowJaccard = [(p1, p2) for p1 in interests for p2 in interests
+                  if (p1 != p2 and list(interests.keys()).index(p1) < list(interests.keys()).index(p2))
+                  and len(interests[p1].intersection(interests[p2])) / len(interests[p1].union(interests[p2])) < 0.25]
+    print(lowJaccard)
+
+
+# Start program:
+if __name__ == "__main__":
+    main()
diff --git a/1ano/fp/aula08/primesupto.py b/1ano/fp/aula08/primesupto.py
new file mode 100644
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+++ b/1ano/fp/aula08/primesupto.py
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+# Algorithm from https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes#Pseudocode
+def primesUpTo(n):
+    assert n >= 2, "n must be >= 2"
+    A = [True for i in range(n+1)]
+
+    for i in range(2, n+1):
+        if A[i]:
+            for j in range(i**2, n+1, i):
+                A[j] = False
+
+    return set([i for i in range(2, n+1) if A[i]])
+
+
+def main():
+    # Testing:
+    s = primesUpTo(1000)
+    print(s)
+
+    # Do some checks:
+    assert primesUpTo(30) == {2,3,5,7,11,13,17,19,23,29}
+    assert len(primesUpTo(1000)) == 168
+    assert len(primesUpTo(7918)) == 999
+    assert len(primesUpTo(7919)) == 1000
+    print("All tests passed!")
+
+
+if __name__ == "__main__":
+    main()