Esempi in Python per count_digits

Esempio n. 1

File: PE32.py Progetto: mgwood/Project-Euler

def main():

    s = time.time()

    a_list = range(1, 10000)
    b_list = range(100, 10000)

    pan_list = []

    for a in a_list:
        for b in b_list:
            product = a * b
            p_length = mwmath.count_digits(product) + mwmath.count_digits(
                a) + mwmath.count_digits(b)

            if p_length < 9:
                continue
            if p_length > 9:
                break

            full_term = int(str(a) + str(b) + str(product))

            if mwmath.is_pandigital(full_term):
                if not product in pan_list:
                    pan_list.append(product)

    return [sum(pan_list), time.time() - s]

Esempio n. 2

File: PE32.py Progetto: mgwood/Project-Euler

def main():

    s = time.time()
    
    a_list = range(1,10000)
    b_list = range(100,10000)

    pan_list = []

    for a in a_list:
        for b in b_list:
            product = a*b
            p_length = mwmath.count_digits(product)+mwmath.count_digits(a)+mwmath.count_digits(b)

            if p_length<9:
                continue
            if p_length>9:
                break

            full_term = int(str(a)+str(b)+str(product))

            if mwmath.is_pandigital(full_term):
                if not product in pan_list:
                    pan_list.append(product)

    return [sum(pan_list),time.time()-s]

Esempio n. 3

File: PE57.py Progetto: mgwood/Project-Euler

def main():
    t = time.time()
    cf_list = mwmath.build_sqrt2_continued_fraction_terms(999)
    print time.time()-t
    
    count = 0;
    #print cf_list
    for ii in cf_list:
        act_term = mwmath.get_actual_sqrt2_cf(ii[0],ii[1])
        if mwmath.count_digits(act_term[0])>mwmath.count_digits(act_term[1]):
            #print act_term
            count = count + 1

    print time.time()-t
    return count

Esempio n. 4

File: PE57.py Progetto: mgwood/Project-Euler

def main():
    t = time.time()
    cf_list = mwmath.build_sqrt2_continued_fraction_terms(999)
    print time.time() - t

    count = 0
    #print cf_list
    for ii in cf_list:
        act_term = mwmath.get_actual_sqrt2_cf(ii[0], ii[1])
        if mwmath.count_digits(act_term[0]) > mwmath.count_digits(act_term[1]):
            #print act_term
            count = count + 1

    print time.time() - t
    return count

Esempio n. 5

File: pEuler_35.py Progetto: mgwood/Project-Euler

def find_circ_primes(N):

    c_primes = []

    potential_primes_1 = [2, 3]
    ii = 1
    while 6 * ii <= (N):
        potential_primes_1.append(6 * ii - 1)
        potential_primes_1.append(6 * ii + 1)
        ii += 1

    potential_primes_2 = [2, 5]
    for kk in potential_primes_1:
        if mwmath.circ_digit_check(kk) and mwmath.is_prime(kk):
            potential_primes_2.append(kk)

    for jj in potential_primes_2:
        new_p = jj
        p_check = True
        rotations = mwmath.count_digits(jj) - 1

        while p_check and rotations > 0:
            new_p = mwmath.rotate_digits(new_p)
            p_check = mwmath.is_prime(new_p)

            rotations -= 1
        if p_check:
            c_primes.append(jj)

    return c_primes

Esempio n. 6

File: pEuler_35.py Progetto: mgwood/Project-Euler

def find_circ_primes(N):

    c_primes = []

    potential_primes_1 = [2,3]
    ii = 1
    while 6*ii<=(N):
        potential_primes_1.append(6*ii-1)
        potential_primes_1.append(6*ii+1)
        ii+=1

    potential_primes_2 = [2,5]
    for kk in potential_primes_1:
        if mwmath.circ_digit_check(kk) and mwmath.is_prime(kk):
            potential_primes_2.append(kk)


    for jj in potential_primes_2:
        new_p = jj
        p_check = True
        rotations = mwmath.count_digits(jj)-1

        while p_check and rotations>0:
            new_p = mwmath.rotate_digits(new_p)
            p_check=mwmath.is_prime(new_p)

            rotations-=1
        if p_check:
            c_primes.append(jj)

    return c_primes

Esempio n. 7

File: PE25.py Progetto: mgwood/Project-Euler

def find_first_N_length_fibb(N):

    ii = 4

    fib_a = 1
    fib_b = 2
    while True:
        fib_c = fib_a + fib_b
        fib_count = mwmath.count_digits(fib_c)

        if fib_count == N:
            return ii
            break

        ii += 1
        fib_a = fib_b
        fib_b = fib_c

Esempio n. 8

File: pEuler_25.py Progetto: mgwood/Project-Euler

def find_first_N_length_fibb(N):

    ii=4

    fib_a = 1
    fib_b = 2
    while True:
        fib_c = fib_a+fib_b
        fib_count = mwmath.count_digits(fib_c)

        if fib_count==N:
            return ii
            break

        ii+=1
        fib_a = fib_b
        fib_b = fib_c

Esempio n. 9

import math
import mwmath
import time

s = time.time()

a_list = range(1, 10000)
b_list = range(100, 10000)

pan_list = []

for a in a_list:
    for b in b_list:
        product = a * b
        p_length = mwmath.count_digits(product) + mwmath.count_digits(
            a) + mwmath.count_digits(b)

        if p_length < 9:
            continue
        if p_length > 9:
            break

        full_term = int(str(a) + str(b) + str(product))

        if mwmath.is_pandigital(full_term):
            if not product in pan_list:
                pan_list.append(product)

print sum(pan_list)

print time.time() - s

Esempio n. 10

def main():
    s = time.time()

    A = [
        37107287533902102798797998220837590246510135740250,
        46376937677490009712648124896970078050417018260538,
        74324986199524741059474233309513058123726617309629,
        91942213363574161572522430563301811072406154908250,
        23067588207539346171171980310421047513778063246676,
        89261670696623633820136378418383684178734361726757,
        28112879812849979408065481931592621691275889832738,
        44274228917432520321923589422876796487670272189318,
        47451445736001306439091167216856844588711603153276,
        70386486105843025439939619828917593665686757934951,
        62176457141856560629502157223196586755079324193331,
        64906352462741904929101432445813822663347944758178,
        92575867718337217661963751590579239728245598838407,
        58203565325359399008402633568948830189458628227828,
        80181199384826282014278194139940567587151170094390,
        35398664372827112653829987240784473053190104293586,
        86515506006295864861532075273371959191420517255829,
        71693888707715466499115593487603532921714970056938,
        54370070576826684624621495650076471787294438377604,
        53282654108756828443191190634694037855217779295145,
        36123272525000296071075082563815656710885258350721,
        45876576172410976447339110607218265236877223636045,
        17423706905851860660448207621209813287860733969412,
        81142660418086830619328460811191061556940512689692,
        51934325451728388641918047049293215058642563049483,
        62467221648435076201727918039944693004732956340691,
        15732444386908125794514089057706229429197107928209,
        55037687525678773091862540744969844508330393682126,
        18336384825330154686196124348767681297534375946515,
        80386287592878490201521685554828717201219257766954,
        78182833757993103614740356856449095527097864797581,
        16726320100436897842553539920931837441497806860984,
        48403098129077791799088218795327364475675590848030,
        87086987551392711854517078544161852424320693150332,
        59959406895756536782107074926966537676326235447210,
        69793950679652694742597709739166693763042633987085,
        41052684708299085211399427365734116182760315001271,
        65378607361501080857009149939512557028198746004375,
        35829035317434717326932123578154982629742552737307,
        94953759765105305946966067683156574377167401875275,
        88902802571733229619176668713819931811048770190271,
        25267680276078003013678680992525463401061632866526,
        36270218540497705585629946580636237993140746255962,
        24074486908231174977792365466257246923322810917141,
        91430288197103288597806669760892938638285025333403,
        34413065578016127815921815005561868836468420090470,
        23053081172816430487623791969842487255036638784583,
        11487696932154902810424020138335124462181441773470,
        63783299490636259666498587618221225225512486764533,
        67720186971698544312419572409913959008952310058822,
        95548255300263520781532296796249481641953868218774,
        76085327132285723110424803456124867697064507995236,
        37774242535411291684276865538926205024910326572967,
        23701913275725675285653248258265463092207058596522,
        29798860272258331913126375147341994889534765745501,
        18495701454879288984856827726077713721403798879715,
        38298203783031473527721580348144513491373226651381,
        34829543829199918180278916522431027392251122869539,
        40957953066405232632538044100059654939159879593635,
        29746152185502371307642255121183693803580388584903,
        41698116222072977186158236678424689157993532961922,
        62467957194401269043877107275048102390895523597457,
        23189706772547915061505504953922979530901129967519,
        86188088225875314529584099251203829009407770775672,
        11306739708304724483816533873502340845647058077308,
        82959174767140363198008187129011875491310547126581,
        97623331044818386269515456334926366572897563400500,
        42846280183517070527831839425882145521227251250327,
        55121603546981200581762165212827652751691296897789,
        32238195734329339946437501907836945765883352399886,
        75506164965184775180738168837861091527357929701337,
        62177842752192623401942399639168044983993173312731,
        32924185707147349566916674687634660915035914677504,
        99518671430235219628894890102423325116913619626622,
        73267460800591547471830798392868535206946944540724,
        76841822524674417161514036427982273348055556214818,
        97142617910342598647204516893989422179826088076852,
        87783646182799346313767754307809363333018982642090,
        10848802521674670883215120185883543223812876952786,
        71329612474782464538636993009049310363619763878039,
        62184073572399794223406235393808339651327408011116,
        66627891981488087797941876876144230030984490851411,
        60661826293682836764744779239180335110989069790714,
        85786944089552990653640447425576083659976645795096,
        66024396409905389607120198219976047599490197230297,
        64913982680032973156037120041377903785566085089252,
        16730939319872750275468906903707539413042652315011,
        94809377245048795150954100921645863754710598436791,
        78639167021187492431995700641917969777599028300699,
        15368713711936614952811305876380278410754449733078,
        40789923115535562561142322423255033685442488917353,
        44889911501440648020369068063960672322193204149535,
        41503128880339536053299340368006977710650566631954,
        81234880673210146739058568557934581403627822703280,
        82616570773948327592232845941706525094512325230608,
        22918802058777319719839450180888072429661980811197,
        77158542502016545090413245809786882778948721859617,
        72107838435069186155435662884062257473692284509516,
        20849603980134001723930671666823555245252804609722,
        53503534226472524250874054075591789781264330331690
    ]

    Sum = sum(A)

    d_count = mwmath.count_digits(Sum)

    return [(Sum / 10**(d_count - 10)), time.time() - s]

Esempio n. 11

File: pEuler_32.py Progetto: mgwood/Project-Euler

import math
import mwmath
import time

s = time.time()

a_list = range(1,10000)
b_list = range(100,10000)

pan_list = []

for a in a_list:
    for b in b_list:
        product = a*b
        p_length = mwmath.count_digits(product)+mwmath.count_digits(a)+mwmath.count_digits(b)

        if p_length<9:
            continue
        if p_length>9:
            break

        full_term = int(str(a)+str(b)+str(product))

        if mwmath.is_pandigital(full_term):
            if not product in pan_list:
                pan_list.append(product)

print sum(pan_list)


print time.time()-s

Esempio n. 12

File: pEuler_13.py Progetto: mgwood/Project-Euler

def main():
    A = [37107287533902102798797998220837590246510135740250,
46376937677490009712648124896970078050417018260538,
74324986199524741059474233309513058123726617309629,
91942213363574161572522430563301811072406154908250,
23067588207539346171171980310421047513778063246676,
89261670696623633820136378418383684178734361726757,
28112879812849979408065481931592621691275889832738,
44274228917432520321923589422876796487670272189318,
47451445736001306439091167216856844588711603153276,
70386486105843025439939619828917593665686757934951,
62176457141856560629502157223196586755079324193331,
64906352462741904929101432445813822663347944758178,
92575867718337217661963751590579239728245598838407,
58203565325359399008402633568948830189458628227828,
80181199384826282014278194139940567587151170094390,
35398664372827112653829987240784473053190104293586,
86515506006295864861532075273371959191420517255829,
71693888707715466499115593487603532921714970056938,
54370070576826684624621495650076471787294438377604,
53282654108756828443191190634694037855217779295145,
36123272525000296071075082563815656710885258350721,
45876576172410976447339110607218265236877223636045,
17423706905851860660448207621209813287860733969412,
81142660418086830619328460811191061556940512689692,
51934325451728388641918047049293215058642563049483,
62467221648435076201727918039944693004732956340691,
15732444386908125794514089057706229429197107928209,
55037687525678773091862540744969844508330393682126,
18336384825330154686196124348767681297534375946515,
80386287592878490201521685554828717201219257766954,
78182833757993103614740356856449095527097864797581,
16726320100436897842553539920931837441497806860984,
48403098129077791799088218795327364475675590848030,
87086987551392711854517078544161852424320693150332,
59959406895756536782107074926966537676326235447210,
69793950679652694742597709739166693763042633987085,
41052684708299085211399427365734116182760315001271,
65378607361501080857009149939512557028198746004375,
35829035317434717326932123578154982629742552737307,
94953759765105305946966067683156574377167401875275,
88902802571733229619176668713819931811048770190271,
25267680276078003013678680992525463401061632866526,
36270218540497705585629946580636237993140746255962,
24074486908231174977792365466257246923322810917141,
91430288197103288597806669760892938638285025333403,
34413065578016127815921815005561868836468420090470,
23053081172816430487623791969842487255036638784583,
11487696932154902810424020138335124462181441773470,
63783299490636259666498587618221225225512486764533,
67720186971698544312419572409913959008952310058822,
95548255300263520781532296796249481641953868218774,
76085327132285723110424803456124867697064507995236,
37774242535411291684276865538926205024910326572967,
23701913275725675285653248258265463092207058596522,
29798860272258331913126375147341994889534765745501,
18495701454879288984856827726077713721403798879715,
38298203783031473527721580348144513491373226651381,
34829543829199918180278916522431027392251122869539,
40957953066405232632538044100059654939159879593635,
29746152185502371307642255121183693803580388584903,
41698116222072977186158236678424689157993532961922,
62467957194401269043877107275048102390895523597457,
23189706772547915061505504953922979530901129967519,
86188088225875314529584099251203829009407770775672,
11306739708304724483816533873502340845647058077308,
82959174767140363198008187129011875491310547126581,
97623331044818386269515456334926366572897563400500,
42846280183517070527831839425882145521227251250327,
55121603546981200581762165212827652751691296897789,
32238195734329339946437501907836945765883352399886,
75506164965184775180738168837861091527357929701337,
62177842752192623401942399639168044983993173312731,
32924185707147349566916674687634660915035914677504,
99518671430235219628894890102423325116913619626622,
73267460800591547471830798392868535206946944540724,
76841822524674417161514036427982273348055556214818,
97142617910342598647204516893989422179826088076852,
87783646182799346313767754307809363333018982642090,
10848802521674670883215120185883543223812876952786,
71329612474782464538636993009049310363619763878039,
62184073572399794223406235393808339651327408011116,
66627891981488087797941876876144230030984490851411,
60661826293682836764744779239180335110989069790714,
85786944089552990653640447425576083659976645795096,
66024396409905389607120198219976047599490197230297,
64913982680032973156037120041377903785566085089252,
16730939319872750275468906903707539413042652315011,
94809377245048795150954100921645863754710598436791,
78639167021187492431995700641917969777599028300699,
15368713711936614952811305876380278410754449733078,
40789923115535562561142322423255033685442488917353,
44889911501440648020369068063960672322193204149535,
41503128880339536053299340368006977710650566631954,
81234880673210146739058568557934581403627822703280,
82616570773948327592232845941706525094512325230608,
22918802058777319719839450180888072429661980811197,
77158542502016545090413245809786882778948721859617,
72107838435069186155435662884062257473692284509516,
20849603980134001723930671666823555245252804609722,
53503534226472524250874054075591789781264330331690]


    Sum = sum(A)

    d_count = mwmath.count_digits(Sum)

    return (Sum/10**(d_count-10))

Esempio n. 13

File: pEuler_38.py Progetto: mgwood/Project-Euler

s = time.time()

base_list = range(1, int(100000000 / 3))

largest_base = 1
largest_list = 1
largest_pan = 1

pan_list = []

for ele in base_list:
    cur_term = ele
    cur_product = 2

    while mwmath.count_digits(cur_term) < 9:
        cur_term = int(str(cur_term) + str(cur_product * ele))
        cur_product += 1

    if mwmath.count_digits(cur_term) != 9:
        continue
    else:
        if mwmath.is_pandigital(cur_term):
            pan_list.append(cur_term)
            if cur_term > largest_pan:
                print cur_term
                largest_pan = cur_term
                largest_list = cur_product - 1
                largest_base = ele

print pan_list

Esempio n. 14

File: pEuler_38.py Progetto: mgwood/Project-Euler

s = time.time()

base_list = range(1,int(100000000/3))


largest_base = 1
largest_list = 1
largest_pan = 1

pan_list = []

for ele in base_list:
    cur_term = ele
    cur_product = 2

    while mwmath.count_digits(cur_term)<9:
        cur_term = int(str(cur_term)+str(cur_product*ele))
        cur_product+=1
        
    if mwmath.count_digits(cur_term)!=9:
        continue
    else:
        if mwmath.is_pandigital(cur_term):
            pan_list.append(cur_term)
            if cur_term>largest_pan:
                print cur_term
                largest_pan = cur_term
                largest_list = cur_product-1
                largest_base = ele

print pan_list