>>> from mitjanes import normalitza_pesos

>>> p = iter([0.3, 0.7, 0.45, 0.72, 1.35, 2.47])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 2) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.05, 0.12, 0.08, 0.12, 0.23, 0.41]

>>> p = iter([4.2, 0.3, 7.4, 0.7, 0.45, 0.72, 0.69, 1.35, 2.47, 1.456, 2.974])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 2) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.18, 0.01, 0.33, 0.03, 0.02, 0.03, 0.03, 0.06, 0.11, 0.06, 0.13]

>>> p = iter([4.2, 3.42, 0.3, 7.4, 4.3, 0.7, 0.45, 0.72, 6.7, 0.69, 1.1, 1.35, 2.47, 0.025, 1.456, 3.07, 2.974])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 2) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.1, 0.08, 0.01, 0.18, 0.1, 0.02, 0.01, 0.02, 0.16, 0.02, 0.03, 0.03, 0.06, 0.0, 0.04, 0.07, 0.07]

>>> p = iter([5.5, 4.2, 3.42, 0.3, 7.4, 9.2, 4.3, 0.7, 0.45, 12.5, 0.72, 6.7, 0.69, 4.5, 1.1, 1.35, 2.47, 7.8, 0.025, 1.456, 9.4, 3.07, 2.974])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 4) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.061, 0.0466, 0.0379, 0.0033, 0.082, 0.102, 0.0477, 0.0078, 0.005, 0.1385, 0.008, 0.0743, 0.0076, 0.0499, 0.0122, 0.015, 0.0274, 0.0865, 0.0003, 0.0161, 0.1042, 0.034, 0.033]

>>> p = iter([0.3, 0.05, 0.15, 0.35, 0.15])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 2) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.3, 0.05, 0.15, 0.35, 0.15]

>>> p = iter([0.54, 0.67, 0.8, 0.88, 0.27, 0.19, 0.13, 0.73, 0.9, 0.35, 0.14, 0.49, 0.71, 0.58, 0.73, 0.01, 0.86, 0.01, 1.24, 0.08, 1.16, 0.01, 0.7, 0.44, 0.63, 0.67, 0.14, 0.96, 0.32, 0.07, 0.1, 0.82, 0.26, 0.67, 1.14])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 3) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.029, 0.036, 0.043, 0.048, 0.015, 0.01, 0.007, 0.04, 0.049, 0.019, 0.008, 0.027, 0.039, 0.032, 0.04, 0.001, 0.047, 0.001, 0.067, 0.004, 0.063, 0.001, 0.038, 0.024, 0.034, 0.036, 0.008, 0.052, 0.017, 0.004, 0.005, 0.045, 0.014, 0.036, 0.062]

>>> p = iter([1.16, 0.07, 0.27, 0.07, 0.51])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 3) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.558, 0.034, 0.13, 0.034, 0.245]

>>> p = iter([1.3, 0.48, 0.04, 0.54, 1.14, 0.28, 0.98, 1.2, 0.97, 0.9])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 3) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.166, 0.061, 0.005, 0.069, 0.146, 0.036, 0.125, 0.153, 0.124, 0.115]

>>> p = iter([0.25, 1.03, 0.1, 0.85, 0.15, 1.17, 0.78, 0.06, 1.06, 0.55, 0.25, 0.66, 0.03, 0.08, 0.33])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 3) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.034, 0.14, 0.014, 0.116, 0.02, 0.159, 0.106, 0.008, 0.144, 0.075, 0.034, 0.09, 0.004, 0.011, 0.045]

>>> p = iter([0.15, 0.6, 0.14, 0.27, 1.27, 1.11, 1.0, 1.26, 0.95, 0.6, 0.42, 1.13, 1.25, 1.23, 1.02, 0.11, 1.09, 0.54, 0.88, 1.24])
>>> pn = normalitza_pesos(p)
>>> list(round(x, 3) for x in pn) # doctesttag: +TAG=1_mitjanes
[0.009, 0.037, 0.009, 0.017, 0.078, 0.068, 0.062, 0.077, 0.058, 0.037, 0.026, 0.069, 0.077, 0.076, 0.063, 0.007, 0.067, 0.033, 0.054, 0.076]




>>> from fraccions import suma_reciprocs

>>> nbrs = iter((4, 2, 3))
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(13, 12)

>>> nbrs = iter((5, 4, 8, 3))
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(109, 120)

>>> nbrs = (4, 2, 3, 12, 5, 9, 23)
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(3149, 2070)

>>> nbrs = (7, 15, 4, 8, 2, 3, 12, 5, 9, 23)
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(107561, 57960)

>>> nbrs = [7, 15, 35, 4, 8, 41, 2, 3, 12, 64, 5, 9, 23, 37]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(1372615217, 703402560)

>>> nbrs = [33, 59, 46, 52, 21, 54, 25, 91, 95]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(15042970069, 69683714100)

>>> nbrs = [99, 3, 35, 26, 7, 72, 91, 18, 83, 54, 94, 58, 59, 29, 30]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(5606447852869, 7215788459880)

>>> nbrs = [5, 13, 14, 17, 32, 35, 37, 38, 40, 45, 46, 55, 57, 68, 69, 79, 86, 87, 91]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(27361304531647337, 39032125074502560)

>>> nbrs = [9, 11, 12, 13, 15, 17, 18, 19, 21, 22, 28, 37, 39, 57, 64, 65, 67, 71, 76, 79, 85, 86, 94]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(59995716965041219, 65581972111930560)

>>> nbrs = [2, 4, 10, 12, 16, 17, 19, 20, 23, 43, 44, 46, 47, 48, 52, 58, 59, 60, 62, 66, 72, 73, 86, 91, 92, 95, 97]
>>> f = suma_reciprocs(nbrs)
>>> f # doctesttag: +TAG=2_fraccions
Fraction(3035668730806792700117, 2032074134318027840040)




>>> from datetime import timedelta
>>> from pprint import pprint

>>> from llistes_reproduccio import fins_on

>>> lr1 = [
... ("Una lluna a l'aigua", "Txarango", timedelta(minutes=4, seconds=27)),
... ("Volcans", "Buhos", timedelta(minutes=3, seconds=32)),
... ("Coti x Coti", "The Tyets", timedelta(minutes=2, seconds=27)),
... ("Al mar!", "Manel", timedelta(minutes=3, seconds=28)),
... ("In the night", "Oques Grasses", timedelta(minutes=2, seconds=56)),
... ("Pa amb oli i sal", "Blaumut", timedelta(minutes=3, seconds=47)),
... ("Ventiladors", "Zoo", timedelta(minutes=4, seconds=24)),
... ("Camins", "Sopa de Cabra", timedelta(minutes=3, seconds=16)),
... ("Vull estar amb tu", "Els Catarres", timedelta(minutes=3, seconds=3)),
... ("Caminem lluny", "Doctor Prats", timedelta(minutes=3, seconds=51)),
... ]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=5)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=8)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=11)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=15)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=20)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(seconds=1300)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010)),
 ('Pa amb oli i sal', 'Blaumut', datetime.timedelta(seconds=1237))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(seconds=1510)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010)),
 ('Pa amb oli i sal', 'Blaumut', datetime.timedelta(seconds=1237)),
 ('Ventiladors', 'Zoo', datetime.timedelta(seconds=1501))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=30)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010)),
 ('Pa amb oli i sal', 'Blaumut', datetime.timedelta(seconds=1237)),
 ('Ventiladors', 'Zoo', datetime.timedelta(seconds=1501)),
 ('Camins', 'Sopa de Cabra', datetime.timedelta(seconds=1697))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(seconds=1885)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010)),
 ('Pa amb oli i sal', 'Blaumut', datetime.timedelta(seconds=1237)),
 ('Ventiladors', 'Zoo', datetime.timedelta(seconds=1501)),
 ('Camins', 'Sopa de Cabra', datetime.timedelta(seconds=1697)),
 ('Vull estar amb tu', 'Els Catarres', datetime.timedelta(seconds=1880))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=50)
>>> lrfao1 = fins_on(ilr1, td1)
>>> r1 = list(lrfao1)
>>> pprint(r1) # doctesttag: +TAG=3_llistes_reproduccio-no_buida
[("Una lluna a l'aigua", 'Txarango', datetime.timedelta(seconds=267)),
 ('Volcans', 'Buhos', datetime.timedelta(seconds=479)),
 ('Coti x Coti', 'The Tyets', datetime.timedelta(seconds=626)),
 ('Al mar!', 'Manel', datetime.timedelta(seconds=834)),
 ('In the night', 'Oques Grasses', datetime.timedelta(seconds=1010)),
 ('Pa amb oli i sal', 'Blaumut', datetime.timedelta(seconds=1237)),
 ('Ventiladors', 'Zoo', datetime.timedelta(seconds=1501)),
 ('Camins', 'Sopa de Cabra', datetime.timedelta(seconds=1697)),
 ('Vull estar amb tu', 'Els Catarres', datetime.timedelta(seconds=1880)),
 ('Caminem lluny', 'Doctor Prats', datetime.timedelta(seconds=2111))]

>>> ilr1 = iter(lr1)
>>> td1 = timedelta(minutes=1)
>>> lrfao1 = fins_on(ilr1, td1)
>>> list(lrfao1) # doctesttag: +TAG=3_llistes_reproduccio-buida
[]