4 nouveaux défis

Calcul des jours magiques.py

@@ -0,0 +1,16 @@
+import datetime
+
+days = (len("lundi"), len("mardi"), len("mercredi"), len("jeudi"), len("vendredi"), len("samedi"), len("dimanche"))
+d = datetime.datetime.strptime("01/01/2000", "%d/%m/%Y")
+end = datetime.datetime.now()
+
+ctr = 0
+while True:
+    if (days[d.weekday()] + d.day)%10 == 0:
+        ctr += 1
+
+    d = d + datetime.timedelta(days=1)
+    if d > end:
+        break
+
+print(d, ctr)

Le cours de potions.py

@@ -0,0 +1,36 @@
+fioles = [20, 20, 20, 0]
+
+for i in range(12):
+    current = i%4
+    next1 = (i+1)%4
+    next2 = (i+2)%4
+    next3 = (i+3)%4
+
+    #1/3 de N versé dans N+1
+    tiers = fioles[current]/3
+    if fioles[next1]+tiers > 25:
+        versé = 25-fioles[next1]
+    else:
+        versé = tiers
+    fioles[next1] = fioles[next1] + versé
+    fioles[current] = fioles[current] - versé
+
+    #1/3 de N versé dans N+2
+    tiers = fioles[current]/3
+    if fioles[next2]+tiers > 25:
+        versé = 25-fioles[next2]
+    else:
+        versé = tiers
+    fioles[next2] = fioles[next2] + versé
+    fioles[current] = fioles[current] - versé
+
+    #1/3 de N versé dans N+3
+    tiers = fioles[current]/3
+    if fioles[next3]+tiers > 25:
+        versé = 25-fioles[next3]
+    else:
+        versé = tiers
+    fioles[next3] = fioles[next3] + versé
+    fioles[current] = fioles[current] - versé
+
+    print(i+1, fioles)

Les dragées surprises.py

@@ -0,0 +1,13 @@
+dragees = ["A", "B", "E", "C", "G", "F", "M", "O", "H", "P", "S", "V"]
+
+ctr = 0
+while True:
+    ctr += 1
+    idx1 = (ctr * 5) % 12
+    idx0 = idx1-1 if idx1>0 else 11
+    dragees[idx0-1], dragees[idx1-1] = dragees[idx1-1], dragees[idx0-1]
+    if "A" in dragees[0:4] and "E" in dragees[0:4] and "G" in dragees[0:4] and "H" in dragees[0:4]:
+        break
+
+print(ctr)
+print(dragees)

Paramétrage du vif d'or.py

@@ -0,0 +1,21 @@
+def next(x, y, z, n):
+    return y, z, (x+y+z)%n
+
+if __name__ == "__main__":
+    x0, y0, z0 = 0, 0, 1
+
+    res = {}
+    for n in range(2, 201):
+        x, y, z = x0, y0, z0
+        ctr = 0
+        while True:
+            ctr += 1
+            x, y, z = next(x, y, z, n)
+            if x == x0 and y == y0 and z == z0:
+                print(n, ctr)
+                res[n] = ctr
+                break
+
+    for n in {k: v for k, v in sorted(res.items(), key=lambda item: item[1])}:
+        #print(n, res[n])
+        print(f"{n}, ", end = "")