diff options
| author | Reiner Herrmann <reiner@reiner-h.de> | 2014-08-31 20:21:45 +0200 |
|---|---|---|
| committer | Reiner Herrmann <reiner@reiner-h.de> | 2014-08-31 20:35:09 +0200 |
| commit | 95341b61b030c9e1290f3b326cb7ec584f543aea (patch) | |
| tree | 852386fa04d32eb859bca11c0eff7b5ef9e50f00 /src | |
| parent | 571164d977f91925c4c76a292f74f5f93d09ae23 (diff) | |
Diffstat (limited to 'src')
116 files changed, 0 insertions, 15835 deletions
diff --git a/src/projecteuler/001.py b/src/projecteuler/001.py deleted file mode 100644 index dd1cbc6..0000000 --- a/src/projecteuler/001.py +++ /dev/null @@ -1,7 +0,0 @@ -result = 0 - -for i in range(1,1000): - if i % 3 == 0 or i % 5 == 0: - result += i - -print result diff --git a/src/projecteuler/002.c b/src/projecteuler/002.c deleted file mode 100644 index 7a16a80..0000000 --- a/src/projecteuler/002.c +++ /dev/null @@ -1,20 +0,0 @@ -int main() -{ - int previous = 1, next = 2; - int sum = 0, tmp = 0; - - while(next <= 4000000) - { - if(!(next & 1)) - sum += next; - - tmp = next; - next += previous; - previous = tmp; - } - - printf("%ld\n", sum); - - return 0; -} - diff --git a/src/projecteuler/003.py b/src/projecteuler/003.py deleted file mode 100644 index c5b3036..0000000 --- a/src/projecteuler/003.py +++ /dev/null @@ -1,9 +0,0 @@ -number = 600851475143 - -i = 3 -while(i < number): - while(number % i == 0 and number != i): - number = number / i - i += 2 - -print number diff --git a/src/projecteuler/004.py b/src/projecteuler/004.py deleted file mode 100644 index c22b764..0000000 --- a/src/projecteuler/004.py +++ /dev/null @@ -1,23 +0,0 @@ -max = 0 - -def palindrom(number): - tmp = number - new = 0 - while(tmp > 0): - new *= 10 - new += tmp % 10 - tmp = tmp / 10 - - if new == number: - return True - else: - return False - - -for i in xrange(100,1000): - for j in xrange(100,1000): - if palindrom(i*j) and i*j > max: - max = i*j - -print max - diff --git a/src/projecteuler/005.py b/src/projecteuler/005.py deleted file mode 100644 index 8929956..0000000 --- a/src/projecteuler/005.py +++ /dev/null @@ -1,19 +0,0 @@ -divisors = [11, 12, 13, 14, 15, 16, 17, 18, 19] # only need to check those divisors - -def divisible(number): - result = True - for i in divisors: - if number % i != 0: - result = False - break - return result - -number = 20 - -while(True): - if divisible(number): - break - number += 20 - -print number - diff --git a/src/projecteuler/006.py b/src/projecteuler/006.py deleted file mode 100644 index 2010877..0000000 --- a/src/projecteuler/006.py +++ /dev/null @@ -1,13 +0,0 @@ -def sum_of_squares(limit): - result = 0 - for i in range(1, limit+1): - result += i*i - return result - -def square_of_sums(limit): - result = 0 - for i in range(1, limit+1): - result += i - return result*result - -print abs(sum_of_squares(100) - square_of_sums(100)) diff --git a/src/projecteuler/007.py b/src/projecteuler/007.py deleted file mode 100644 index 63d565a..0000000 --- a/src/projecteuler/007.py +++ /dev/null @@ -1,20 +0,0 @@ -prime_list = [2] - -def is_prime(number): - global prime_list - prime = True - for x in prime_list: - if number % x == 0: - prime = False - break - return prime - -count = 3 - -while(len(prime_list) < 10001): - if is_prime(count): - prime_list.append(count) - count += 2 - -print prime_list[-1] - diff --git a/src/projecteuler/008.py b/src/projecteuler/008.py deleted file mode 100644 index 002b958..0000000 --- a/src/projecteuler/008.py +++ /dev/null @@ -1,22 +0,0 @@ -number = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450 - -max = 0 - -while(number > 0): - tmp = number - digit1 = tmp % 10 - tmp = tmp / 10 - digit2 = tmp % 10 - tmp = tmp / 10 - digit3 = tmp % 10 - tmp = tmp / 10 - digit4 = tmp % 10 - tmp = tmp / 10 - digit5 = tmp % 10 - tmp = tmp / 10 - number = number / 10 - product = digit1 * digit2 * digit3 * digit4 * digit5 - if product > max: - max = product - -print max diff --git a/src/projecteuler/009.py b/src/projecteuler/009.py deleted file mode 100644 index f122a7a..0000000 --- a/src/projecteuler/009.py +++ /dev/null @@ -1,7 +0,0 @@ -for a in range(1,1000): - for b in range(a, 1000): - c = 1000 - a - b - if a*a + b*b == c*c: - print a*b*c - break - diff --git a/src/projecteuler/010.py b/src/projecteuler/010.py deleted file mode 100644 index 691c7a5..0000000 --- a/src/projecteuler/010.py +++ /dev/null @@ -1,33 +0,0 @@ -limit = 2000000 - -number_list = [False] + [True]*(limit-1) -list_len = len(number_list) - -def next_prime(i): - global number_list - global list_len - x = i+1 - while(x <= list_len): - if number_list[x-1] == True: - break - x += 1 - return x - -i = 2 - -while(i*i <= list_len): - x = i*i - while(x <= list_len): - number_list[x-1] = False - x += i - i = next_prime(i) - - -sum = 0 - -for i in xrange(1, limit+1): - if number_list[i-1]: - sum += i - -print sum - diff --git a/src/projecteuler/011.py b/src/projecteuler/011.py deleted file mode 100644 index 4fff9d4..0000000 --- a/src/projecteuler/011.py +++ /dev/null @@ -1,50 +0,0 @@ - -numbers = [] - -f = open('011.txt', 'r') -for line in f: - line.rstrip('\n') - line_str = line.split(' ') - line_int = [ int(x) for x in line_str ] - numbers.append(line_int) -f.close() - - -def find_down(): - max = 0 - for i in range(0, 17): - for j in range(0, 20): - product = numbers[i][j] * numbers[i+1][j] * numbers[i+2][j] * numbers[i+3][j] - if product > max: - max = product - return max - -def find_right(): - max = 0 - for i in range(0, 20): - for j in range(0, 17): - product = numbers[i][j] * numbers[i][j+1] * numbers[i][j+2] * numbers[i][j+3] - if product > max: - max = product - return max - -def find_diagonal1(): - max = 0 - for i in range(0, 17): - for j in range(0, 17): - product = numbers[i][j] * numbers[i+1][j+1] * numbers[i+2][j+2] * numbers[i+3][j+3] - if product > max: - max = product - return max - -def find_diagonal2(): - max = 0 - for i in range(0, 17): - for j in range(0, 17): - product = numbers[i][19-j] * numbers[i+1][18-j] * numbers[i+2][17-j] * numbers[i+3][16-j] - if product > max: - max = product - return max - -print max(find_down(), find_right(), find_diagonal1(), find_diagonal2()) - diff --git a/src/projecteuler/011.txt b/src/projecteuler/011.txt deleted file mode 100644 index 4ac2451..0000000 --- a/src/projecteuler/011.txt +++ /dev/null @@ -1,20 +0,0 @@ -08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08 -49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00 -81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65 -52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91 -22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80 -24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50 -32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70 -67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21 -24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72 -21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95 -78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92 -16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57 -86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58 -19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40 -04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66 -88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69 -04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36 -20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16 -20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54 -01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48 diff --git a/src/projecteuler/012.c b/src/projecteuler/012.c deleted file mode 100644 index c5cc49e..0000000 --- a/src/projecteuler/012.c +++ /dev/null @@ -1,37 +0,0 @@ -#include <math.h> - -int count_divisors(unsigned int triangle) -{ - unsigned int i; - int count = 2; - int limit = (int) ceil(sqrt(triangle)); - for(i=2; i<limit; i++) - { - if(triangle % i == 0) - { - if(triangle / i == i) - count++; - else - count += 2; - } - } - return count; -} - -int main() -{ - unsigned int triangle = 0; - int divisors = 0; - int count = 1; - - do - { - triangle += count++; - divisors = count_divisors(triangle); - } while(divisors <= 500); - - printf("%d\n", triangle); - - return 0; -} - diff --git a/src/projecteuler/013.py b/src/projecteuler/013.py deleted file mode 100644 index 9e4222c..0000000 --- a/src/projecteuler/013.py +++ /dev/null @@ -1,14 +0,0 @@ -numbers = [] - -f = open('013.txt', 'r') -for line in f: - numbers.append(int(line)) -f.close() - -sum = 0 - -for i in numbers: - sum += i - -print sum - diff --git a/src/projecteuler/013.txt b/src/projecteuler/013.txt deleted file mode 100644 index 43b568e..0000000 --- a/src/projecteuler/013.txt +++ /dev/null @@ -1,100 +0,0 @@ -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 diff --git a/src/projecteuler/014.py b/src/projecteuler/014.py deleted file mode 100644 index 7df8d53..0000000 --- a/src/projecteuler/014.py +++ /dev/null @@ -1,21 +0,0 @@ -def chain_len(n): - count = 1 - while(n != 1): - if not n & 1: - n = n / 2 - else: - n = 3*n + 1 - count += 1 - return count - -max_len = 0 -max_start = 0 - -for i in range(1, 1000000): - len = chain_len(i) - if len > max_len: - max_start = i - max_len = len - -print max_start - diff --git a/src/projecteuler/015.py b/src/projecteuler/015.py deleted file mode 100644 index 749be04..0000000 --- a/src/projecteuler/015.py +++ /dev/null @@ -1,29 +0,0 @@ - -size = 20 - -field = [ [ 1 for i in range(0, size+1) ] for i in range(0, size+1) ] - -for i in xrange(1, size+1): - for j in xrange(1, size+1): - field[i][j] = field[i][j-1] + field[i-1][j] - -print field[size][size] - - -# -# recursive solution. too slow -# -#def count_path(width, height): -# if width == 0 and height == 0: -# return 1 -# -# count = 0 -# if width > 0: # go right -# count += count_path(width-1, height) -# if height > 0: # go down -# count += count_path(width, height-1) -# -# return count -# -#print count_path(20, 20) - diff --git a/src/projecteuler/016.py b/src/projecteuler/016.py deleted file mode 100644 index d83451e..0000000 --- a/src/projecteuler/016.py +++ /dev/null @@ -1,9 +0,0 @@ -number = 1 << 1000 - -sum = 0 - -while(number > 0): - sum += number % 10 - number = number / 10 - -print sum diff --git a/src/projecteuler/017.py b/src/projecteuler/017.py deleted file mode 100644 index 8bb95cf..0000000 --- a/src/projecteuler/017.py +++ /dev/null @@ -1,31 +0,0 @@ -n1 = ["", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine"] -n2 = ["ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"] -n3 = ["twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"] -n4 = ["hundred"] -n5 = ["thousand"] - -numbers = "" -for i in range(1, 1001): - current = "" - - if (i % 10000) / 1000 > 0: - current += n1[(i%10000)/1000] + n5[0] - if i % 1000 > 0: - current += "and" - - if (i % 1000) / 100 > 0: - current += n1[(i%1000)/100] + n4[0] - if i % 100 > 0: - current += "and" - - if i % 100 <= 9: - current += n1[i%10] - elif i % 100 <= 19: - current += n2[(i%10)-10] - else: - current += n3[(i%100)/10-2] + n1[i%10] - - numbers += current - -print len(numbers) - diff --git a/src/projecteuler/018.py b/src/projecteuler/018.py deleted file mode 100644 index d54d14c..0000000 --- a/src/projecteuler/018.py +++ /dev/null @@ -1,20 +0,0 @@ - -triangle = [] - -f = open('018.txt', 'r') -for line in f: - line.rstrip('\n') - row_str = line.split(' ') - row_int = [ int(x) for x in row_str ] - triangle.append(row_int) -f.close() - -for i in range(1, len(triangle)): - rowlen = len(triangle[i]) - triangle[i][0] += triangle[i-1][0] - triangle[i][rowlen-1] += triangle[i-1][rowlen-2] - for j in range(1, rowlen-1): - triangle[i][j] += max(triangle[i-1][j-1], triangle[i-1][j]) - -print max(triangle[-1]) - diff --git a/src/projecteuler/018.txt b/src/projecteuler/018.txt deleted file mode 100644 index e236c2f..0000000 --- a/src/projecteuler/018.txt +++ /dev/null @@ -1,15 +0,0 @@ -75 -95 64 -17 47 82 -18 35 87 10 -20 04 82 47 65 -19 01 23 75 03 34 -88 02 77 73 07 63 67 -99 65 04 28 06 16 70 92 -41 41 26 56 83 40 80 70 33 -41 48 72 33 47 32 37 16 94 29 -53 71 44 65 25 43 91 52 97 51 14 -70 11 33 28 77 73 17 78 39 68 17 57 -91 71 52 38 17 14 91 43 58 50 27 29 48 -63 66 04 68 89 53 67 30 73 16 69 87 40 31 -04 62 98 27 23 09 70 98 73 93 38 53 60 04 23 diff --git a/src/projecteuler/019.py b/src/projecteuler/019.py deleted file mode 100644 index 187b45e..0000000 --- a/src/projecteuler/019.py +++ /dev/null @@ -1,17 +0,0 @@ -days = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31] - -day = 7 # first sunday in 1900 -count = 0 - -for year in range(1900, 2001): - for month in range(1, 13): - if day == 1 and year >= 1901: - count += 1 - if month == 2 and year % 4 == 0: - day -= 1 - while(day <= days[month-1]): - day += 7 - day -= days[month-1] - -print count - diff --git a/src/projecteuler/020.py b/src/projecteuler/020.py deleted file mode 100644 index 451d614..0000000 --- a/src/projecteuler/020.py +++ /dev/null @@ -1,16 +0,0 @@ -def fac(limit): - result = 1 - for i in range(1, limit+1): - result *= i - return result - -number = fac(100) - -sum = 0 - -while(number > 0): - sum += number % 10 - number = number / 10 - -print sum - diff --git a/src/projecteuler/021.c b/src/projecteuler/021.c deleted file mode 100644 index e236cf3..0000000 --- a/src/projecteuler/021.c +++ /dev/null @@ -1,35 +0,0 @@ -#include <math.h> - -int sum_divisors(int number) -{ - int i; - int sum = 1; - int limit = (int) ceil(sqrt(number)); - for(i=2; i<limit; i++) - { - if(number % i == 0) - { - sum += i; - if(number / i != i) - sum += number / i; - } - } - return sum; -} - -int main() -{ - int sum = 0; - int a; - for(a=1; a<10000; a++) - { - int b = sum_divisors(a); - if(a == sum_divisors(b) && a != b) - sum += a; - } - - printf("%d\n", sum); - - return 0; -} - diff --git a/src/projecteuler/022.py b/src/projecteuler/022.py deleted file mode 100644 index d63530d..0000000 --- a/src/projecteuler/022.py +++ /dev/null @@ -1,18 +0,0 @@ -def score(name): - sum = 0 - for char in name: - sum += ord(char) - 64 - return sum - -pos = 0 -total_score = 0 - -f = open('022.txt', 'r') -for name in f: - name = name.rstrip("\n") - pos += 1 - total_score += pos * score(name) -f.close() - -print total_score - diff --git a/src/projecteuler/022.txt b/src/projecteuler/022.txt deleted file mode 100644 index 177df65..0000000 --- a/src/projecteuler/022.txt +++ /dev/null @@ -1,5163 +0,0 @@ -AARON -ABBEY -ABBIE -ABBY -ABDUL -ABE -ABEL -ABIGAIL -ABRAHAM -ABRAM -ADA -ADAH -ADALBERTO -ADALINE -ADAM -ADAN -ADDIE -ADELA -ADELAIDA -ADELAIDE -ADELE -ADELIA -ADELINA -ADELINE -ADELL -ADELLA -ADELLE -ADENA -ADINA -ADOLFO -ADOLPH -ADRIA -ADRIAN -ADRIANA -ADRIANE -ADRIANNA -ADRIANNE -ADRIEN -ADRIENE -ADRIENNE -AFTON -AGATHA -AGNES -AGNUS -AGRIPINA -AGUEDA -AGUSTIN -AGUSTINA -AHMAD -AHMED -AI -AIDA -AIDE -AIKO -AILEEN -AILENE -AIMEE -AISHA -AJA -AKIKO -AKILAH -AL -ALAINA -ALAINE -ALAN -ALANA -ALANE -ALANNA -ALAYNA -ALBA -ALBERT -ALBERTA -ALBERTHA -ALBERTINA -ALBERTINE -ALBERTO -ALBINA -ALDA -ALDEN -ALDO -ALEASE -ALEC -ALECIA -ALEEN -ALEIDA -ALEISHA -ALEJANDRA -ALEJANDRINA -ALEJANDRO -ALENA -ALENE -ALESHA -ALESHIA -ALESIA -ALESSANDRA -ALETA -ALETHA -ALETHEA -ALETHIA -ALEX -ALEXA -ALEXANDER 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-XENIA -XIAO -XIOMARA -XOCHITL -XUAN -YADIRA -YAEKO -YAEL -YAHAIRA -YAJAIRA -YAN -YANG -YANIRA -YASMIN -YASMINE -YASUKO -YEE -YELENA -YEN -YER -YESENIA -YESSENIA -YETTA -YEVETTE -YI -YING -YOKO -YOLANDA -YOLANDE -YOLANDO -YOLONDA -YON -YONG -YOSHIE -YOSHIKO -YOULANDA -YOUNG -YU -YUETTE -YUK -YUKI -YUKIKO -YUKO -YULANDA -YUN -YUNG -YUONNE -YURI -YURIKO -YVETTE -YVONE -YVONNE -ZACHARIAH -ZACHARY -ZACHERY -ZACK -ZACKARY -ZADA -ZAIDA -ZANA -ZANDRA -ZANE -ZELDA -ZELLA -ZELMA -ZENA -ZENAIDA -ZENIA -ZENOBIA -ZETTA -ZINA -ZITA -ZOE -ZOFIA -ZOILA -ZOLA -ZONA -ZONIA -ZORA -ZORAIDA -ZULA -ZULEMA -ZULMA diff --git a/src/projecteuler/023.py b/src/projecteuler/023.py deleted file mode 100644 index d109302..0000000 --- a/src/projecteuler/023.py +++ /dev/null @@ -1,37 +0,0 @@ -import math - -limit = 28123 -numbers = set() - -def abundant(n): - divisors = set() - divisors.add(1) - for i in xrange(2, int(math.sqrt(n))+1): - if n % i == 0: - divisors.add(i) - divisors.add(n/i) - - if sum(divisors) > n: - return True - else: - return False - -def sum_abundant(n): - for i in numbers: - if n-i in numbers: - return True - return False - - -for n in xrange(2, limit+1): - if abundant(n): - numbers.add(n) - -sum = 0 - -for n in xrange(limit+1): - if not sum_abundant(n): - sum += n - -print sum - diff --git a/src/projecteuler/024.py b/src/projecteuler/024.py deleted file mode 100644 index 47546a5..0000000 --- a/src/projecteuler/024.py +++ /dev/null @@ -1,24 +0,0 @@ - -import sys - -digits = [ x for x in range(0, 10) ] - -limit = 1000000 - -count = 0 - -def permutate(start, end): - global permutations, count - if len(end) == 1: - count += 1 - if count == limit: - print start+end - sys.exit(0) - return - for i in range(0, len(end)): - s = start + [end[i]] - e = end[:i] + end[i+1:] - permutate(s, e) - -permutate([], digits) - diff --git a/src/projecteuler/025.py b/src/projecteuler/025.py deleted file mode 100644 index b69bddc..0000000 --- a/src/projecteuler/025.py +++ /dev/null @@ -1,19 +0,0 @@ -import math - -def digits(number): - return math.ceil(math.log10(number+1)) - -prev = 1 -next = 1 -count = 2 - -while(True): - if(digits(next) >= 1000): - break - tmp = next - next += prev - prev = tmp - count += 1 - -print count - diff --git a/src/projecteuler/026.py b/src/projecteuler/026.py deleted file mode 100644 index 0ddd85a..0000000 --- a/src/projecteuler/026.py +++ /dev/null @@ -1,33 +0,0 @@ - -def get_cycle(d): - remainders = [] - x = 1 - while x > 0: - if x < d: - x *= 10 - continue - - z = x / d - x = (x % d) * 10 - if x in remainders: # cycle detected - pos = 0 - for i in range(len(remainders)): - if remainders[i] == x: - return len(remainders) - i - break - remainders += [x] - - return 0 # no cycle - - -max_remainder = 0 -result = 0 - -for i in range(1, 1000): - r = get_cycle(i) - if r > max_remainder: - max_remainder = r - result = i - -print result - diff --git a/src/projecteuler/027.py b/src/projecteuler/027.py deleted file mode 100644 index 563d6af..0000000 --- a/src/projecteuler/027.py +++ /dev/null @@ -1,25 +0,0 @@ -from common import sieve - -primes = sieve(10000).primes() - -def count_primes(a, b): - n = 0 - while True: - p = n**2 + a*n + b - if p not in primes: - break - n += 1 - return n - -max_count = 0 -max_pair = (0, 0) - -for a in xrange(-999, 1000): - for b in xrange(-999, 1000): - c = count_primes(a, b) - if c > max_count: - max_count = c - max_pair = (a, b) - -print max_pair[0] * max_pair[1] - diff --git a/src/projecteuler/028.py b/src/projecteuler/028.py deleted file mode 100644 index 3ec1ff5..0000000 --- a/src/projecteuler/028.py +++ /dev/null @@ -1,13 +0,0 @@ - -width = 1001 -max_level = (width-1)/2 - -last = sum = 1 - -for level in range(1, max_level+1): - add = 2*level - sum += (last+add) + (last+2*add) + (last+3*add) + (last+4*add) - last = last+4*add - -print sum - diff --git a/src/projecteuler/029.py b/src/projecteuler/029.py deleted file mode 100644 index 0740911..0000000 --- a/src/projecteuler/029.py +++ /dev/null @@ -1,9 +0,0 @@ - -x = [] - -for i in range(2, 101): - for j in range(2, 101): - x.append(i**j) - -print len(set(x)) - diff --git a/src/projecteuler/030.c b/src/projecteuler/030.c deleted file mode 100644 index 5d044e9..0000000 --- a/src/projecteuler/030.c +++ /dev/null @@ -1,41 +0,0 @@ - -int digit_sum(int number) -{ - int sum = 0; - int digit; - int n = number; - - while(n > 0) - { - digit = n % 10; - sum += digit*digit*digit*digit*digit; - n = n / 10; - } - - if(number == sum) - return 1; - else - return 0; -} - -int main() -{ - int start = 10; - int end = 354294; // 9^5 * 6 - int sum = 0; - int i; - - for(i=start; i<end; i++) - { - if(digit_sum(i)) - { - printf("%d\n", i); - sum += i; - } - } - - printf("\n%d\n", sum); - - return 0; -} - diff --git a/src/projecteuler/031.py b/src/projecteuler/031.py deleted file mode 100644 index 331c8c2..0000000 --- a/src/projecteuler/031.py +++ /dev/null @@ -1,18 +0,0 @@ - -coins = [ 200, 100, 50, 20, 10, 5, 2, 1 ] - -value = 200 - -def count(v, c): - if v == 0: - return 1 - if len(c) == 1: - return 1 - sum = 0 - n = v / c[0] - for i in range(0, n+1): - sum += count(v-i*c[0], c[1:]) - return sum - -print count(value, coins) - diff --git a/src/projecteuler/032.c b/src/projecteuler/032.c deleted file mode 100644 index 13c40b5..0000000 --- a/src/projecteuler/032.c +++ /dev/null @@ -1,64 +0,0 @@ - -#include <stdio.h> - -/* - * much faster than python version, though less optimized... - * - * to filter out duplicates and add numbers: - * $ ./032 | sort -u | tr "\n" "+" | sed 's/+$/\n/' | bc - * - */ - -int is_pandigital(long int a, long int b, long int c) -{ - char digits[] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; - char digit; - int i; - - while(a > 0) - { - digit = a % 10; - if(digit == 0 || digits[digit]++) - return 0; - a /= 10; - } - while(b > 0) - { - digit = b % 10; - if(digit == 0 || digits[digit]++) - return 0; - b /= 10; - } - while(c > 0) - { - digit = c % 10; - if(digit == 0 || digits[digit]++) - return 0; - c /= 10; - } - - for(i=1; i<10; i++) - if(digits[i] != 1) - return 0; - return 1; -} - -int main(void) -{ - long int limit = 10000; - long int a, b, c; - for(a=2; a<limit; a++) - { - for(b=2; b<limit; b++) - { - c = a * b; - if(c > limit) - break; - if(is_pandigital(a, b, c)) - printf("%ld\n", c); - } - } - - return 0; -} - diff --git a/src/projecteuler/032.py b/src/projecteuler/032.py deleted file mode 100644 index 0958625..0000000 --- a/src/projecteuler/032.py +++ /dev/null @@ -1,43 +0,0 @@ - -from common import pandigital - -pandigital = pandigital(9).numbers(5) -pandigital.remove(1) - -def is_pandigital(a, b, c): - d = [0]*10 - while a > 0: - digit = a % 10 - if d[digit] > 0: - return False - d[digit] += 1 - a /= 10 - while b > 0: - digit = b % 10 - if d[digit] > 0: - return False - d[digit] += 1 - b /= 10 - while c > 0: - digit = c % 10 - if d[digit] > 0: - return False - d[digit] += 1 - c /= 10 - return d[1:] == [1]*9 - -products = set() - -for a in pandigital: - for b in pandigital: - c = a * b - if c in pandigital and is_pandigital(a, b, c): - #print str(a), "*", str(b), "=", str(c) - products.add(c) - -sum = 0 -for p in products: - sum += p - -print sum - diff --git a/src/projecteuler/033.c b/src/projecteuler/033.c deleted file mode 100644 index 61a7ffd..0000000 --- a/src/projecteuler/033.c +++ /dev/null @@ -1,59 +0,0 @@ - -int curious_fraction(int a, int b) -{ - int a1 = a/10; - int a2 = a%10; - int b1 = b/10; - int b2 = b%10; - - float result = 1.0*a/b; - - if(a2 == 0) - return 0; - - if(a1 == b1) - { - float result2 = 1.0*a2/b2; - if(result == result2) - return 1; - } - - if(a1 == b2) - { - float result2 = 1.0*a2/b1; - if(result == result2) - return 1; - } - - if(a2 == b1) - { - float result2 = 1.0*a1/b2; - if(result == result2) - return 1; - } - - if(a2 == b2) - { - float result2 = 1.0*a1/b1; - if(result == result2) - return 1; - } - - return 0; -} - -int main() -{ - int a, b; - float product = 1.0; - - for(a=10; a<100; a++) - for(b=a+1; b<100; b++) - if(curious_fraction(a, b)) - product *= 1.0*a/b; - - printf("%d\n", (int)(1/product)); - - return 0; -} - diff --git a/src/projecteuler/033.py b/src/projecteuler/033.py deleted file mode 100644 index 9575983..0000000 --- a/src/projecteuler/033.py +++ /dev/null @@ -1,34 +0,0 @@ -def curious_fraction(a, b): - a1 = a/10 - a2 = a%10 - b1 = b/10 - b2 = b%10 - - result = 1.0*a/b; - - if a2 == 0 or b2 == 0: - return False - - if a1 == b1 and 1.0*a2/b2 == result: - return True - - if a1 == b2 and 1.0*a2/b1 == result: - return True - - if a2 == b1 and 1.0*a1/b2 == result: - return True - - if a2 == b2 and 1.0*a1/b1 == result: - return True - - return False - -product = 1.0 - -for a in range(10, 100): - for b in range(a+1, 100): - if curious_fraction(a, b): - product *= 1.0*a/b - -print int(1/product) - diff --git a/src/projecteuler/034.py b/src/projecteuler/034.py deleted file mode 100644 index 505a987..0000000 --- a/src/projecteuler/034.py +++ /dev/null @@ -1,27 +0,0 @@ -def fac(limit): - result = 1 - for i in range(1, limit+1): - result *= i - return result - - -facs = [ fac(i) for i in range(0, 10) ] - -def facsum(number): - global facs - sum = 0 - while number > 0: - digit = number % 10 - sum += facs[digit] - number = number / 10 - return sum - - -sum = 0 - -for i in xrange(10, 2540160): - if facsum(i) == i: - sum += i - -print sum - diff --git a/src/projecteuler/035.py b/src/projecteuler/035.py deleted file mode 100644 index 8f00da8..0000000 --- a/src/projecteuler/035.py +++ /dev/null @@ -1,33 +0,0 @@ -def circular_prime(number): - global number_list - result = True - number_str = str(number) - for i in range(1, len(number_str)): - rotated_str = number_str[i:] + number_str[:i] - rotated_nr = int(rotated_str) - if not number_list[rotated_nr-1]: - result = False - break - return result - - -limit = 1000000 - -number_list = [False] -for i in range(2, limit+1): - number_list.append(True) - -for i in range(2, limit+1): - x = i*2 - while(x <= len(number_list)): - number_list[x-1] = False - x += i - -count = 0 - -for i in range(1, limit+1): - if number_list[i-1] and circular_prime(i): - count += 1 - -print count - diff --git a/src/projecteuler/036.py b/src/projecteuler/036.py deleted file mode 100644 index bf800da..0000000 --- a/src/projecteuler/036.py +++ /dev/null @@ -1,40 +0,0 @@ - -binary = [ 2**x for x in range(20) ][::-1] - -def palindromic_decimal(n): - if n == int(str(n)[::-1]): - return True - return False - - -def dec2bin(n): - res = "" - for i in binary: - if n - i > 0 or n == i: - res += "1" - n -= i - else: - if len(res) > 0: # do not add leading 0s - res += "0" - return res - -def bin2dec(n): - res = 0 - for i in range(1, len(n)+1): - if n[-i] == "1": - res += binary[-i] - return res - -def palindromic_binary(n): - if n == bin2dec(dec2bin(n)[::-1]): - return True - return False - -sum = 0 - -for n in xrange(1000000): - if palindromic_decimal(n) and palindromic_binary(n): - sum += n - -print sum - diff --git a/src/projecteuler/037.py b/src/projecteuler/037.py deleted file mode 100644 index 5e506c2..0000000 --- a/src/projecteuler/037.py +++ /dev/null @@ -1,61 +0,0 @@ - -limit = 800000 - -number_list = [False] + [True]*(limit-1) -list_len = len(number_list) - -def next_prime(i): - global number_list - global list_len - x = i+1 - while(x <= list_len): - if number_list[x-1] == True: - break - x += 1 - return x - -i = 2 - -while(i*i <= list_len): - x = i*i - while(x <= list_len): - number_list[x-1] = False - x += i - i = next_prime(i) - - -primes = set() - -for i in xrange(1, limit+1): - if number_list[i-1]: - primes.add(i) - - -def truncatable(n): - # right truncatable - tmp = n/10 - while tmp > 0: - if not tmp in primes: - return False - tmp = tmp / 10 - - # left truncatable - tmp = n - modulo = 10**14 - while tmp > 0: - if not tmp in primes: - return False - modulo = modulo / 10 - tmp = tmp % modulo - - return True - - -result = [] - -for p in primes: - if truncatable(p) and p not in (2, 3, 5, 7): - result += [p] - -print sum(result) - diff --git a/src/projecteuler/038.py b/src/projecteuler/038.py deleted file mode 100644 index bc43644..0000000 --- a/src/projecteuler/038.py +++ /dev/null @@ -1,43 +0,0 @@ - -def is_pandigital(x): - digits = 10*[0] - - while x > 0: - digit = x % 10 - if digit == 0: - return False - digits[digit] += 1 - x /= 10 - - for i in range(1, 10): - if digits[i] != 1: - return False - - return True - - -def pandigital(x): - result = str(x * 1) - count = 1 - - while len(result) < 9: - count += 1 - result += str(x * count) - - if len(result) > 9: - return 0 - - if is_pandigital(int(result)): - return int(result) - - return 0 - -max_pd = 0 -for i in xrange(9876): - p = pandigital(i) - if p > max_pd: - max_pd = p - i += 1 - -print max_pd - diff --git a/src/projecteuler/039.c b/src/projecteuler/039.c deleted file mode 100644 index 202df6c..0000000 --- a/src/projecteuler/039.c +++ /dev/null @@ -1,37 +0,0 @@ - -int solutions(int p) -{ - int solution = 0; - int a, b, c; - - for(a=0; a<p/2; a++) - for(b=0; b<p-a; b++) - { - c = p - a - b; - if(a*a + b*b == c*c) - solution++; - } - return solution; -} - -int main() -{ - int max_solutions = 0; - int max_p = 0; - int p; - - for(p=3; p<=1000; p++) - { - int n = solutions(p); - if(n > max_solutions) - { - max_solutions = n; - max_p = p; - } - } - - printf("%d\n", max_p); - - return 0; -} - diff --git a/src/projecteuler/039.py b/src/projecteuler/039.py deleted file mode 100644 index 6a6bd0b..0000000 --- a/src/projecteuler/039.py +++ /dev/null @@ -1,21 +0,0 @@ - -def solutions(p): - solution = 0 - for a in xrange(1, p/2): - for b in xrange(a, p-a): - c = p - a - b - if a*a + b*b == c*c: - solution += 1 - return solution - -max_solutions = 0 -max_p = 0 - -for p in xrange(3, 1000): - n = solutions(p) - if n > max_solutions: - max_solutions = n - max_p = p - -print max_p - diff --git a/src/projecteuler/040.py b/src/projecteuler/040.py deleted file mode 100644 index 6f20325..0000000 --- a/src/projecteuler/040.py +++ /dev/null @@ -1,34 +0,0 @@ - -# liefert zurueck an welcher Stelle die x-stelligen Zahlen beginnen -def begin(x): - stelle = 1 - for i in range(1, x): - stelle += 9 * (10**(i-1)) * i - return stelle - - -def stelle(pos): - n = 0 - i = 0 - # suche nach Anfang der x-stelligen Region in der pos liegt - while n <= pos: - i += 1 - n = begin(i) - - stellen = i-1 - startpos = begin(stellen) - startvalue = 10**(stellen-1) - diff = pos - startpos - zahl = startvalue + diff/stellen - result = (zahl / (10**(stellen-(diff%stellen)-1))) % 10 - - return result - - -product = 1 - -for i in range(0, 7): - product *= stelle(10**i) - -print product - diff --git a/src/projecteuler/041.py b/src/projecteuler/041.py deleted file mode 100644 index 04a6272..0000000 --- a/src/projecteuler/041.py +++ /dev/null @@ -1,26 +0,0 @@ -from common import pandigital, sieve - -primes = list(sieve(10**6).primes()) -numbers = [x for x in pandigital(1, 9).numbers(10) if x > 10**8] -numbers += [x for x in pandigital(1, 8).numbers(10) if x > 10**7] -numbers += [x for x in pandigital(1, 7).numbers(10) if x > 10**6] -numbers += [x for x in pandigital(1, 6).numbers(10) if x > 10**5] -numbers += [x for x in pandigital(1, 5).numbers(10) if x > 10**4] -numbers += [x for x in pandigital(1, 4).numbers(10) if x > 10**3] -numbers += [x for x in pandigital(1, 3).numbers(10) if x > 10**2] -numbers += [x for x in pandigital(1, 2).numbers(10) if x > 10**1] - -numbers.sort(reverse=True) - -# check for divisibility up to sqrt(n), as sieve requires too much memory -def is_prime(n): - for p in primes: - if n % p == 0: - return False - return True - -for n in numbers: - if is_prime(n): - print n - break - diff --git a/src/projecteuler/042.py b/src/projecteuler/042.py deleted file mode 100644 index 46f08fa..0000000 --- a/src/projecteuler/042.py +++ /dev/null @@ -1,18 +0,0 @@ -def score(name): - sum = 0 - for char in name: - sum += ord(char) - 64 - return sum - -triangle_numbers = [ int(0.5*n*(n-1)) for n in range(2, 200) ] -count = 0 - -f = open('042.txt', 'r') -for word in f: - word = word.rstrip("\n") - if score(word) in triangle_numbers: - count += 1 -f.close() - -print count - diff --git a/src/projecteuler/042.txt b/src/projecteuler/042.txt deleted file mode 100644 index 124e8b6..0000000 --- a/src/projecteuler/042.txt +++ /dev/null @@ -1,1786 +0,0 @@ -A -ABILITY -ABLE -ABOUT -ABOVE -ABSENCE -ABSOLUTELY -ACADEMIC -ACCEPT -ACCESS -ACCIDENT -ACCOMPANY -ACCORDING -ACCOUNT -ACHIEVE -ACHIEVEMENT -ACID -ACQUIRE -ACROSS -ACT -ACTION -ACTIVE -ACTIVITY -ACTUAL -ACTUALLY -ADD -ADDITION -ADDITIONAL -ADDRESS -ADMINISTRATION -ADMIT -ADOPT -ADULT -ADVANCE -ADVANTAGE -ADVICE -ADVISE -AFFAIR -AFFECT -AFFORD -AFRAID -AFTER -AFTERNOON -AFTERWARDS -AGAIN -AGAINST -AGE -AGENCY -AGENT -AGO -AGREE -AGREEMENT -AHEAD -AID -AIM -AIR -AIRCRAFT -ALL -ALLOW -ALMOST -ALONE -ALONG -ALREADY -ALRIGHT -ALSO -ALTERNATIVE -ALTHOUGH -ALWAYS -AMONG -AMONGST -AMOUNT -AN -ANALYSIS -ANCIENT -AND -ANIMAL -ANNOUNCE -ANNUAL -ANOTHER -ANSWER -ANY -ANYBODY -ANYONE -ANYTHING -ANYWAY -APART -APPARENT -APPARENTLY -APPEAL -APPEAR -APPEARANCE -APPLICATION -APPLY -APPOINT -APPOINTMENT -APPROACH -APPROPRIATE -APPROVE -AREA -ARGUE -ARGUMENT -ARISE -ARM -ARMY -AROUND -ARRANGE -ARRANGEMENT -ARRIVE -ART -ARTICLE -ARTIST -AS -ASK -ASPECT -ASSEMBLY -ASSESS -ASSESSMENT -ASSET -ASSOCIATE -ASSOCIATION -ASSUME -ASSUMPTION -AT -ATMOSPHERE -ATTACH -ATTACK -ATTEMPT -ATTEND -ATTENTION -ATTITUDE -ATTRACT -ATTRACTIVE -AUDIENCE -AUTHOR -AUTHORITY -AVAILABLE -AVERAGE -AVOID -AWARD -AWARE -AWAY -AYE -BABY -BACK -BACKGROUND -BAD -BAG -BALANCE -BALL -BAND -BANK -BAR -BASE -BASIC -BASIS -BATTLE -BE -BEAR -BEAT -BEAUTIFUL -BECAUSE -BECOME -BED -BEDROOM -BEFORE -BEGIN -BEGINNING -BEHAVIOUR -BEHIND -BELIEF -BELIEVE -BELONG -BELOW -BENEATH -BENEFIT -BESIDE -BEST -BETTER -BETWEEN -BEYOND -BIG -BILL -BIND -BIRD -BIRTH -BIT -BLACK -BLOCK -BLOOD -BLOODY -BLOW -BLUE -BOARD -BOAT -BODY -BONE -BOOK -BORDER -BOTH -BOTTLE -BOTTOM -BOX -BOY 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-UNDERSTAND -UNDERSTANDING -UNDERTAKE -UNEMPLOYMENT -UNFORTUNATELY -UNION -UNIT -UNITED -UNIVERSITY -UNLESS -UNLIKELY -UNTIL -UP -UPON -UPPER -URBAN -US -USE -USED -USEFUL -USER -USUAL -USUALLY -VALUE -VARIATION -VARIETY -VARIOUS -VARY -VAST -VEHICLE -VERSION -VERY -VIA -VICTIM -VICTORY -VIDEO -VIEW -VILLAGE -VIOLENCE -VISION -VISIT -VISITOR -VITAL -VOICE -VOLUME -VOTE -WAGE -WAIT -WALK -WALL -WANT -WAR -WARM -WARN -WASH -WATCH -WATER -WAVE -WAY -WE -WEAK -WEAPON -WEAR -WEATHER -WEEK -WEEKEND -WEIGHT -WELCOME -WELFARE -WELL -WEST -WESTERN -WHAT -WHATEVER -WHEN -WHERE -WHEREAS -WHETHER -WHICH -WHILE -WHILST -WHITE -WHO -WHOLE -WHOM -WHOSE -WHY -WIDE -WIDELY -WIFE -WILD -WILL -WIN -WIND -WINDOW -WINE -WING -WINNER -WINTER -WISH -WITH -WITHDRAW -WITHIN -WITHOUT -WOMAN -WONDER -WONDERFUL -WOOD -WORD -WORK -WORKER -WORKING -WORKS -WORLD -WORRY -WORTH -WOULD -WRITE -WRITER -WRITING -WRONG -YARD -YEAH -YEAR -YES -YESTERDAY -YET -YOU -YOUNG -YOUR -YOURSELF -YOUTH diff --git a/src/projecteuler/043.py b/src/projecteuler/043.py deleted file mode 100644 index 2dd1db9..0000000 --- a/src/projecteuler/043.py +++ /dev/null @@ -1,35 +0,0 @@ -from common import pandigital - - -def check_number(i): - x = str(i) - if int(x[1:4]) & 1 != 0: - return False - if int(x[2:5]) % 3 != 0: - return False - if int(x[3:6]) % 5 != 0: - return False - if int(x[4:7]) % 7 != 0: - return False - if int(x[5:8]) % 11 != 0: - return False - if int(x[6:9]) % 13 != 0: - return False - if int(x[7:10]) % 17 != 0: - return False - return True - - -numbers = pandigital(0, 9).numbers(11) - -result = 0 - -for i in numbers: - if i < 1000000000: - continue - - if check_number(i): - result += i - -print result - diff --git a/src/projecteuler/044.py b/src/projecteuler/044.py deleted file mode 100644 index 5baae84..0000000 --- a/src/projecteuler/044.py +++ /dev/null @@ -1,9 +0,0 @@ - -pentagonal = [n*(3*n-1)/2 for n in xrange(1, 10000)] -pentagonal_set = set(pentagonal) - -for j in pentagonal: - for k in pentagonal: - if j+k in pentagonal_set and j-k in pentagonal_set: - print abs(j-k) - diff --git a/src/projecteuler/045.py b/src/projecteuler/045.py deleted file mode 100644 index 5a8bb7c..0000000 --- a/src/projecteuler/045.py +++ /dev/null @@ -1,12 +0,0 @@ - -limit = 500000 - -triangle = set([ int(n*(n+1)/2) for n in range(1, limit) ]) -pentagonal = set([ int(n*(2*n-1)) for n in range(1, limit) ]) -hexagonal = set([ int(n*(3*n-1)/2) for n in range(1, limit) ]) - -result = triangle & pentagonal & hexagonal - -for i in result: - print i - diff --git a/src/projecteuler/046.py b/src/projecteuler/046.py deleted file mode 100644 index 24a2983..0000000 --- a/src/projecteuler/046.py +++ /dev/null @@ -1,35 +0,0 @@ - -from common import sieve - -squares = set([ x*x for x in xrange(1, 1000000) ]) - -def check_number(number, prime): - square = (number - prime) >> 1 - return square in squares - -prime_set = sieve(1000000).primes() -primes = list(prime_set) -primes.sort() - -number = 3 - -while True: - number += 2 - - if number in prime_set: - continue - - conjecture = False - - for p in primes: - if p >= number: - break - if check_number(number, p): - conjecture = True - break - - if not conjecture: - break - -print number - diff --git a/src/projecteuler/047.py b/src/projecteuler/047.py deleted file mode 100644 index 19f5185..0000000 --- a/src/projecteuler/047.py +++ /dev/null @@ -1,25 +0,0 @@ -from common import sieve - -primes = list(sieve(1000000).primes()) -primes.sort() - -factors = 4 - -def check_prime_factors(x): - distinct = set() - for p in primes: - while x % p == 0: - x /= p - distinct.add(p) - if x == 1: - break - return len(distinct) == factors - -n = 644 - -while True: - if check_prime_factors(n) and check_prime_factors(n+1) and check_prime_factors(n+2) and check_prime_factors(n+3): - print n - break - n += 1 - diff --git a/src/projecteuler/048.py b/src/projecteuler/048.py deleted file mode 100644 index 7c4102e..0000000 --- a/src/projecteuler/048.py +++ /dev/null @@ -1,6 +0,0 @@ -sum = 0 -for i in range(1, 1001): - sum += i**i - -print sum % 10**10 - diff --git a/src/projecteuler/049.py b/src/projecteuler/049.py deleted file mode 100644 index 1cb2fbf..0000000 --- a/src/projecteuler/049.py +++ /dev/null @@ -1,34 +0,0 @@ -from common import sieve, permutation - -primes = sieve(10000).primes() -primes2 = [ x for x in primes if x > 1000 ] -primes2.sort() - -end = False -ignore = 1487 -result = [] - -for p in primes2: - for q in primes2: - if p == q: - continue - if permutation(p, q): - new = 0 - if q > p: - diff = q - p - new = q + diff - else: - diff = p - q - new = p + diff - - if new in primes and permutation(q, new) and not permutation(ignore, p): - result += [p, q, new] - end = True - if end: - break - if end: - break - -result.sort() -print str(result[0]) + str(result[1]) + str(result[2]) - diff --git a/src/projecteuler/050.py b/src/projecteuler/050.py deleted file mode 100644 index 615f0d5..0000000 --- a/src/projecteuler/050.py +++ /dev/null @@ -1,28 +0,0 @@ -from common import sieve - -limit = 1000000 - -prime_set = sieve(limit).primes() -prime_list = list(prime_set) -prime_list.sort() - -n = len(prime_list) - -max_sum = 0 -max_count = 0 - -for i in xrange(n): - sum = prime_list[i] - count = 1 - for j in xrange(i+1, n): - sum += prime_list[j] - count += 1 - if sum > prime_list[-1]: - break - - if sum in prime_set and count > max_count: - max_sum = sum - max_count = count - -print max_sum - diff --git a/src/projecteuler/051.c b/src/projecteuler/051.c deleted file mode 100644 index ee79ece..0000000 --- a/src/projecteuler/051.c +++ /dev/null @@ -1,121 +0,0 @@ -#include "common.h" -#include <stdlib.h> -#include <string.h> -#include <stdio.h> - -unsigned long* p; - -const int pattern_size = 1024; -unsigned long* patterns; - -void init_patterns() -{ - int i, cur; - unsigned long n, pos; - - patterns = (unsigned long*) malloc(pattern_size*sizeof(unsigned long)); - - for(i=0; i<pattern_size; i++) - { - pos = 1; - cur = i; - n = 0; - while(cur > 0) - { - n += (cur&1)*pos; - pos *= 10; - cur >>= 1; - } - patterns[i] = n; - } -} - -int valid_replacement(unsigned long prime, unsigned long number, unsigned long pattern) -{ - int digit = -1; // replaced digit in prime - - while(pattern > 0) - { - char d1 = pattern % 10; - char d2 = prime % 10; - char d3 = number % 10; - - if(d1 == 1) - { - if(digit < 0) - digit = d2; - else if(digit != d2) // not same digits replaced - return 0; - } - - if(d1 == 0 && d2 != d3) - return 0; - else if(prime == 0 && number != 0) - return 0; - - pattern /= 10; - prime /= 10; - number /= 10; - } - - if(pattern == 0 && prime != number) - return 0; - - return 1; -} - -int check_prime(unsigned long prime) -{ - int i, j; - - for(i=2; i<pattern_size; i++) - { - unsigned long pat = patterns[i]; - unsigned long tmp = prime; - int count = 1; - - if(pat >= 10*tmp) - break; - - for(j=0; j<10; j++) - { - tmp += pat; - - if(isprime(tmp, p) && valid_replacement(prime, tmp, pat)) - count++; - } - - if(count>=8) - { - printf("Pattern: %ld\n", pat); - return 1; - } - } - - return 0; -} - -int main(void) -{ - unsigned long pcount; - unsigned long pos; - - p = primes(1000000); - pcount = p[0]; - - init_patterns(); - - for(pos=1; pos<=pcount; pos++) - { - if(check_prime(p[pos])) - { - printf("Prime: %li\n", p[pos]); - break; - } - } - - free(p); - free(patterns); - return 0; -} - diff --git a/src/projecteuler/052.py b/src/projecteuler/052.py deleted file mode 100644 index 2419a72..0000000 --- a/src/projecteuler/052.py +++ /dev/null @@ -1,22 +0,0 @@ - -def digits(n): - result = [0]*10 - while n > 0: - digit = n % 10 - n /= 10 - result[digit] += 1 - return result - -def check(n): - foo = [ digits(n*x) for x in range(1, 7) ] - return foo == foo[1:]+foo[:1] # all array entries are equal - -n = 1 - -while True: - if check(n): - break - n += 1 - -print n - diff --git a/src/projecteuler/053.py b/src/projecteuler/053.py deleted file mode 100644 index 6e9461c..0000000 --- a/src/projecteuler/053.py +++ /dev/null @@ -1,14 +0,0 @@ - -facs = [1]*101 -for i in range(1, 101): - facs[i] = facs[i-1] * i - -count = 0 -for n in range(23, 101): - for r in range(n+1): - x = facs[n] / (facs[r]*facs[n-r]) - if x > 1000000: - count += 1 - -print count - diff --git a/src/projecteuler/054.py b/src/projecteuler/054.py deleted file mode 100644 index bd7d14f..0000000 --- a/src/projecteuler/054.py +++ /dev/null @@ -1,287 +0,0 @@ - -values = { -'2': 2, -'3': 3, -'4': 4, -'5': 5, -'6': 6, -'7': 7, -'8': 8, -'9': 9, -'T': 10, -'J': 11, -'Q': 12, -'K': 13, -'A': 14 -} - -colors = { -'H': 1, -'C': 2, -'S': 3, -'D': 4 -} - - -def handvalue(hand): - return values[hand[0]]*10 + colors[hand[1]] - -def count_cards(hand): - hand = [ x/10 for x in hand ] - counter = { } - for c in hand: - if c in counter: - counter[c] += 1 - else: - counter[c] = 1 - return counter - -def high_card(hand): - hand = [ x/10 for x in hand ] - hand.sort() - return hand[-1] - -def is_flush(hand): - return (hand[0]%10 == hand[1]%10 == hand[2]%10 == hand[3]%10 == hand[4]%10) - -def is_straight(hand): - hand = [ x/10 for x in hand ] - hand.sort() - return (hand[4] == hand[3]+1 == hand[2]+2 == hand[1]+3 == hand[0]+4) - -def is_straight_flush(hand): - return is_flush(hand) and is_straight(hand) - -def is_royal_flush(hand): - return is_straight_flush(hand) and high_card(hand) == values['A'] - -def is_n_of_a_kind(hand, n): - counter = count_cards(hand) - for c in counter: - if counter[c] == n: - return True - return False - -def is_four_of_a_kind(hand): - return is_n_of_a_kind(hand, 4) - -def is_three_of_a_kind(hand): - return is_n_of_a_kind(hand, 3) - -def is_one_pair(hand): - return is_n_of_a_kind(hand, 2) - -def is_two_pairs(hand): - counter = count_cards(hand) - pairs = 0 - for c in counter: - if counter[c] == 2 or counter[c] == 3: - pairs += 1 - return pairs == 2 - -def is_full_house(hand): - return is_two_pairs(hand) and is_three_of_a_kind(hand) - - -def better_hand(hand1, hand2): - # both are straight flush - if is_straight_flush(hand1): - if high_card(hand1) > high_card(hand2): - return 1 - else: - return 2 - - # both are four of a kind - if is_four_of_a_kind(hand1): - count1 = count_cards(hand1) - count2 = count_cards(hand2) - value4_1 = 0 - value4_2 = 0 - for c in count1: - if count1[c] == 4: - value4_1 = c - break - for c in count2: - if count2[c] == 4: - value4_2 = c - break - if value4_1 > value4_2: - return 1 - else: - return 2 - - # both are full house - if is_full_house(hand1): - count1 = count_cards(hand1) - count2 = count_cards(hand2) - value3_1 = 0 - value3_2 = 0 - for c in count1: - if count1[c] == 3: - value3_1 = c - break - for c in count2: - if count2[c] == 3: - value3_2 = c - break - if value3_1 > value3_2: - return 1 - else: - return 2 - - # both are flush - if is_flush(hand1): - hand1 = [ x/10 for x in hand1 ] - hand2 = [ x/10 for x in hand2 ] - hand1.sort() - hand2.sort() - for i in range(0, 5): - if hand1[4-i] > hand2[4-i]: - return 1 - elif hand2[4-i] > hand1[4-i]: - return 2 - print "ERROR: no winner with hands: ", hand1, hand2 # should never be reached - - # both are straight - if is_straight(hand1): - if high_card(hand1) > high_card(hand2): - return 1 - else: - return 2 - - # both are three of a kind - if is_three_of_a_kind(hand1): - count1 = count_cards(hand1) - count2 = count_cards(hand2) - value3_1 = 0 - value3_2 = 0 - for c in count1: - if count1[c] == 3: - value3_1 = c - break - for c in count2: - if count2[c] == 3: - value3_2 = c - break - if value3_1 > value3_2: - return 1 - else: - return 2 - - # both are two pairs - if is_two_pairs(hand1): - count1 = count_cards(hand1) - count2 = count_cards(hand2) - value2_1 = [] - value1_1 = 0 - value2_2 = [] - value1_2 = 0 - for c in count1: - if count1[c] == 2: - value2_1.append(c) - elif count1[c] == 1: - value1_1 = c - for c in count2: - if count2[c] == 2: - value2_2.append(c) - elif count1[c] == 1: - value1_2 = c - value2_1.sort() - value2_2.sort() - if value2_1[1] > value2_2[1]: - return 1 - elif value2_2[1] > value2_1[1]: - return 2 - elif value2_1[0] > value2_2[0]: - return 1 - elif value2_2[0] > value2_1[0]: - return 2 - elif value1_1 > value1_2: - return 1 - else: - return 2 - - # both are one pair - if is_one_pair(hand1): - count1 = count_cards(hand1) - count2 = count_cards(hand2) - value2_1 = 0 - value1_1 = [] - value2_2 = 0 - value1_2 = [] - for c in count1: - if count1[c] == 2: - value2_1 = c - elif count1[c] == 1: - value1_1.append(c) - for c in count2: - if count2[c] == 2: - value2_2 = c - elif count2[c] == 1: - value1_2.append(c) - value1_1.sort() - value1_2.sort() - if value2_1 > value2_2: - return 1 - elif value2_2 > value2_1: - return 2 - elif high_card(value1_1) > high_card(value1_2): - return 1 - else: - return 2 - - - # both are high card - if high_card(hand1) > high_card(hand2): - return 1 - else: - return 2 - - -def rank(hand): - if is_royal_flush(hand): - return 10 - if is_straight_flush(hand): - return 9 - if is_four_of_a_kind(hand): - return 8 - if is_full_house(hand): - return 7 - if is_flush(hand): - return 6 - if is_straight(hand): - return 5 - if is_three_of_a_kind(hand): - return 4 - if is_two_pairs(hand): - return 3 - if is_one_pair(hand): - return 2 - return 1 # high card - -def winner(hand1, hand2): - if rank(hand1) > rank(hand2): - return 1 - if rank(hand2) > rank(hand1): - return 2 - return better_hand(hand1, hand2) - -hands = [] - -f = open('054.txt', 'r') -for line in f: - line.rstrip('\n') - hands.append([ handvalue(x) for x in line.split(' ') ]) -f.close() - -count_win1 = 0 - -for h in hands: - hand1 = h[:5] - hand2 = h[5:] - if winner(hand1, hand2) == 1: - count_win1 += 1 - -print count_win1 - - diff --git a/src/projecteuler/054.txt b/src/projecteuler/054.txt deleted file mode 100644 index 231e249..0000000 --- a/src/projecteuler/054.txt +++ /dev/null @@ -1,1000 +0,0 @@ -8C TS KC 9H 4S 7D 2S 5D 3S AC
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-3S JD KH TH 6H QS 9C 6C 2D QD
-4S QH 4D 5H KC 7D 6D 8D TH 5S
-TD AD 6S 7H KD KH 9H 5S KC JC
-3H QC AS TS 4S QD KS 9C 7S KC
-TS 6S QC 6C TH TC 9D 5C 5D KD
-JS 3S 4H KD 4C QD 6D 9S JC 9D
-8S JS 6D 4H JH 6H 6S 6C KS KH
-AC 7D 5D TC 9S KH 6S QD 6H AS
-AS 7H 6D QH 8D TH 2S KH 5C 5H
-4C 7C 3D QC TC 4S KH 8C 2D JS
-6H 5D 7S 5H 9C 9H JH 8S TH 7H
-AS JS 2S QD KH 8H 4S AC 8D 8S
-3H 4C TD KD 8C JC 5C QS 2D JD
-TS 7D 5D 6C 2C QS 2H 3C AH KS
-4S 7C 9C 7D JH 6C 5C 8H 9D QD
-2S TD 7S 6D 9C 9S QS KH QH 5C
-JC 6S 9C QH JH 8D 7S JS KH 2H
-8D 5H TH KC 4D 4S 3S 6S 3D QS
-2D JD 4C TD 7C 6D TH 7S JC AH
-QS 7S 4C TH 9D TS AD 4D 3H 6H
-2D 3H 7D JD 3D AS 2S 9C QC 8S
-4H 9H 9C 2C 7S JH KD 5C 5D 6H
-TC 9H 8H JC 3C 9S 8D KS AD KC
-TS 5H JD QS QH QC 8D 5D KH AH
-5D AS 8S 6S 4C AH QC QD TH 7H
-3H 4H 7D 6S 4S 9H AS 8H JS 9D
-JD 8C 2C 9D 7D 5H 5S 9S JC KD
-KD 9C 4S QD AH 7C AD 9D AC TD
-6S 4H 4S 9C 8D KS TC 9D JH 7C
-5S JC 5H 4S QH AC 2C JS 2S 9S
-8C 5H AS QD AD 5C 7D 8S QC TD
-JC 4C 8D 5C KH QS 4D 6H 2H 2C
-TH 4S 2D KC 3H QD AC 7H AD 9D
-KH QD AS 8H TH KC 8D 7S QH 8C
-JC 6C 7D 8C KH AD QS 2H 6S 2D
-JC KH 2D 7D JS QC 5H 4C 5D AD
-TS 3S AD 4S TD 2D TH 6S 9H JH
-9H 2D QS 2C 4S 3D KH AS AC 9D
-KH 6S 8H 4S KD 7D 9D TS QD QC
-JH 5H AH KS AS AD JC QC 5S KH
-5D 7D 6D KS KD 3D 7C 4D JD 3S
-AC JS 8D 5H 9C 3H 4H 4D TS 2C
-6H KS KH 9D 7C 2S 6S 8S 2H 3D
-6H AC JS 7S 3S TD 8H 3H 4H TH
-9H TC QC KC 5C KS 6H 4H AC 8S
-TC 7D QH 4S JC TS 6D 6C AC KH
-QH 7D 7C JH QS QD TH 3H 5D KS
-3D 5S 8D JS 4C 2C KS 7H 9C 4H
-5H 8S 4H TD 2C 3S QD QC 3H KC
-QC JS KD 9C AD 5S 9D 7D 7H TS
-8C JC KH 7C 7S 6C TS 2C QD TH
-5S 9D TH 3C 7S QH 8S 9C 2H 5H
-5D 9H 6H 2S JS KH 3H 7C 2H 5S
-JD 5D 5S 2C TC 2S 6S 6C 3C 8S
-4D KH 8H 4H 2D KS 3H 5C 2S 9H
-3S 2D TD 7H 8S 6H JD KC 9C 8D
-6S QD JH 7C 9H 5H 8S 8H TH TD
-QS 7S TD 7D TS JC KD 7C 3C 2C
-3C JD 8S 4H 2D 2S TD AS 4D AC
-AH KS 6C 4C 4S 7D 8C 9H 6H AS
-5S 3C 9S 2C QS KD 4D 4S AC 5D
-2D TS 2C JS KH QH 5D 8C AS KC
-KD 3H 6C TH 8S 7S KH 6H 9S AC
-6H 7S 6C QS AH 2S 2H 4H 5D 5H
-5H JC QD 2C 2S JD AS QC 6S 7D
-6C TC AS KD 8H 9D 2C 7D JH 9S
-2H 4C 6C AH 8S TD 3H TH 7C TS
-KD 4S TS 6C QH 8D 9D 9C AH 7D
-6D JS 5C QD QC 9C 5D 8C 2H KD
-3C QH JH AD 6S AH KC 8S 6D 6H
-3D 7C 4C 7S 5S 3S 6S 5H JC 3C
-QH 7C 5H 3C 3S 8C TS 4C KD 9C
-QD 3S 7S 5H 7H QH JC 7C 8C KD
-3C KD KH 2S 4C TS AC 6S 2C 7C
-2C KH 3C 4C 6H 4D 5H 5S 7S QD
-4D 7C 8S QD TS 9D KS 6H KD 3C
-QS 4D TS 7S 4C 3H QD 8D 9S TC
-TS QH AC 6S 3C 9H 9D QS 8S 6H
-3S 7S 5D 4S JS 2D 6C QH 6S TH
-4C 4H AS JS 5D 3D TS 9C AC 8S
-6S 9C 7C 3S 5C QS AD AS 6H 3C
-9S 8C 7H 3H 6S 7C AS 9H JD KH
-3D 3H 7S 4D 6C 7C AC 2H 9C TH
-4H 5S 3H AC TC TH 9C 9H 9S 8D
-8D 9H 5H 4D 6C 2H QD 6S 5D 3S
-4C 5C JD QS 4D 3H TH AC QH 8C
-QC 5S 3C 7H AD 4C KS 4H JD 6D
-QS AH 3H KS 9H 2S JS JH 5H 2H
-2H 5S TH 6S TS 3S KS 3C 5H JS
-2D 9S 7H 3D KC JH 6D 7D JS TD
-AC JS 8H 2C 8C JH JC 2D TH 7S
-5D 9S 8H 2H 3D TC AH JC KD 9C
-9D QD JC 2H 6D KH TS 9S QH TH
-2C 8D 4S JD 5H 3H TH TC 9C KC
-AS 3D 9H 7D 4D TH KH 2H 7S 3H
-4H 7S KS 2S JS TS 8S 2H QD 8D
-5S 6H JH KS 8H 2S QC AC 6S 3S
-JC AS AD QS 8H 6C KH 4C 4D QD
-2S 3D TS TD 9S KS 6S QS 5C 8D
-3C 6D 4S QC KC JH QD TH KH AD
-9H AH 4D KS 2S 8D JH JC 7C QS
-2D 6C TH 3C 8H QD QH 2S 3S KS
-6H 5D 9S 4C TS TD JS QD 9D JD
-5H 8H KH 8S KS 7C TD AD 4S KD
-2C 7C JC 5S AS 6C 7D 8S 5H 9C
-6S QD 9S TS KH QS 5S QH 3C KC
-7D 3H 3C KD 5C AS JH 7H 6H JD
-9D 5C 9H KC 8H KS 4S AD 4D 2S
-3S JD QD 8D 2S 7C 5S 6S 5H TS
-6D 9S KC TD 3S 6H QD JD 5C 8D
-5H 9D TS KD 8D 6H TD QC 4C 7D
-6D 4S JD 9D AH 9S AS TD 9H QD
-2D 5S 2H 9C 6H 9S TD QC 7D TC
-3S 2H KS TS 2C 9C 8S JS 9D 7D
-3C KC 6D 5D 6C 6H 8S AS 7S QS
-JH 9S 2H 8D 4C 8H 9H AD TH KH
-QC AS 2S JS 5C 6H KD 3H 7H 2C
-QD 8H 2S 8D 3S 6D AH 2C TC 5C
-JD JS TS 8S 3H 5D TD KC JC 6H
-6S QS TC 3H 5D AH JC 7C 7D 4H
-7C 5D 8H 9C 2H 9H JH KH 5S 2C
-9C 7H 6S TH 3S QC QD 4C AC JD
-2H 5D 9S 7D KC 3S QS 2D AS KH
-2S 4S 2H 7D 5C TD TH QH 9S 4D
-6D 3S TS 6H 4H KS 9D 8H 5S 2D
-9H KS 4H 3S 5C 5D KH 6H 6S JS
-KC AS 8C 4C JC KH QC TH QD AH
-6S KH 9S 2C 5H TC 3C 7H JC 4D
-JD 4S 6S 5S 8D 7H 7S 4D 4C 2H
-7H 9H 5D KH 9C 7C TS TC 7S 5H
-4C 8D QC TS 4S 9H 3D AD JS 7C
-8C QS 5C 5D 3H JS AH KC 4S 9D
-TS JD 8S QS TH JH KH 2D QD JS
-JD QC 5D 6S 9H 3S 2C 8H 9S TS
-2S 4C AD 7H JC 5C 2D 6D 4H 3D
-7S JS 2C 4H 8C AD QD 9C 3S TD
-JD TS 4C 6H 9H 7D QD 6D 3C AS
-AS 7C 4C 6S 5D 5S 5C JS QC 4S
-KD 6S 9S 7C 3C 5S 7D JH QD JS
-4S 7S JH 2C 8S 5D 7H 3D QH AD
-TD 6H 2H 8D 4H 2D 7C AD KH 5D
-TS 3S 5H 2C QD AH 2S 5C KH TD
-KC 4D 8C 5D AS 6C 2H 2S 9H 7C
-KD JS QC TS QS KH JH 2C 5D AD
-3S 5H KC 6C 9H 3H 2H AD 7D 7S
-7S JS JH KD 8S 7D 2S 9H 7C 2H
-9H 2D 8D QC 6S AD AS 8H 5H 6C
-2S 7H 6C 6D 7D 8C 5D 9D JC 3C
-7C 9C 7H JD 2H KD 3S KH AD 4S
-QH AS 9H 4D JD KS KD TS KH 5H
-4C 8H 5S 3S 3D 7D TD AD 7S KC
-JS 8S 5S JC 8H TH 9C 4D 5D KC
-7C 5S 9C QD 2C QH JS 5H 8D KH
-TD 2S KS 3D AD KC 7S TC 3C 5D
-4C 2S AD QS 6C 9S QD TH QH 5C
-8C AD QS 2D 2S KC JD KS 6C JC
-8D 4D JS 2H 5D QD 7S 7D QH TS
-6S 7H 3S 8C 8S 9D QS 8H 6C 9S
-4S TC 2S 5C QD 4D QS 6D TH 6S
-3S 5C 9D 6H 8D 4C 7D TC 7C TD
-AH 6S AS 7H 5S KD 3H 5H AC 4C
-8D 8S AH KS QS 2C AD 6H 7D 5D
-6H 9H 9S 2H QS 8S 9C 5D 2D KD
-TS QC 5S JH 7D 7S TH 9S 9H AC
-7H 3H 6S KC 4D 6D 5C 4S QD TS
-TD 2S 7C QD 3H JH 9D 4H 7S 7H
-KS 3D 4H 5H TC 2S AS 2D 6D 7D
-8H 3C 7H TD 3H AD KC TH 9C KH
-TC 4C 2C 9S 9D 9C 5C 2H JD 3C
-3H AC TS 5D AD 8D 6H QC 6S 8C
-2S TS 3S JD 7H 8S QH 4C 5S 8D
-AC 4S 6C 3C KH 3D 7C 2D 8S 2H
-4H 6C 8S TH 2H 4S 8H 9S 3H 7S
-7C 4C 9C 2C 5C AS 5D KD 4D QH
-9H 4H TS AS 7D 8D 5D 9S 8C 2H
-QC KD AC AD 2H 7S AS 3S 2D 9S
-2H QC 8H TC 6D QD QS 5D KH 3C
-TH JD QS 4C 2S 5S AD 7H 3S AS
-7H JS 3D 6C 3S 6D AS 9S AC QS
-9C TS AS 8C TC 8S 6H 9D 8D 6C
-4D JD 9C KC 7C 6D KS 3S 8C AS
-3H 6S TC 8D TS 3S KC 9S 7C AS
-8C QC 4H 4S 8S 6C 3S TC AH AC
-4D 7D 5C AS 2H 6S TS QC AD TC
-QD QC 8S 4S TH 3D AH TS JH 4H
-5C 2D 9S 2C 3H 3C 9D QD QH 7D
-KC 9H 6C KD 7S 3C 4D AS TC 2D
-3D JS 4D 9D KS 7D TH QC 3H 3C
-8D 5S 2H 9D 3H 8C 4C 4H 3C TH
-JC TH 4S 6S JD 2D 4D 6C 3D 4C
-TS 3S 2D 4H AC 2C 6S 2H JH 6H
-TD 8S AD TC AH AC JH 9S 6S 7S
-6C KC 4S JD 8D 9H 5S 7H QH AH
-KD 8D TS JH 5C 5H 3H AD AS JS
-2D 4H 3D 6C 8C 7S AD 5D 5C 8S
-TD 5D 7S 9C 4S 5H 6C 8C 4C 8S
-JS QH 9C AS 5C QS JC 3D QC 7C
-JC 9C KH JH QS QC 2C TS 3D AD
-5D JH AC 5C 9S TS 4C JD 8C KS
-KC AS 2D KH 9H 2C 5S 4D 3D 6H
-TH AH 2D 8S JC 3D 8C QH 7S 3S
-8H QD 4H JC AS KH KS 3C 9S 6D
-9S QH 7D 9C 4S AC 7H KH 4D KD
-AH AD TH 6D 9C 9S KD KS QH 4H
-QD 6H 9C 7C QS 6D 6S 9D 5S JH
-AH 8D 5H QD 2H JC KS 4H KH 5S
-5C 2S JS 8D 9C 8C 3D AS KC AH
-JD 9S 2H QS 8H 5S 8C TH 5C 4C
-QC QS 8C 2S 2C 3S 9C 4C KS KH
-2D 5D 8S AH AD TD 2C JS KS 8C
-TC 5S 5H 8H QC 9H 6H JD 4H 9S
-3C JH 4H 9H AH 4S 2H 4C 8D AC
-8S TH 4D 7D 6D QD QS 7S TC 7C
-KH 6D 2D JD 5H JS QD JH 4H 4S
-9C 7S JH 4S 3S TS QC 8C TC 4H
-QH 9D 4D JH QS 3S 2C 7C 6C 2D
-4H 9S JD 5C 5H AH 9D TS 2D 4C
-KS JH TS 5D 2D AH JS 7H AS 8D
-JS AH 8C AD KS 5S 8H 2C 6C TH
-2H 5D AD AC KS 3D 8H TS 6H QC
-6D 4H TS 9C 5H JS JH 6S JD 4C
-JH QH 4H 2C 6D 3C 5D 4C QS KC
-6H 4H 6C 7H 6S 2S 8S KH QC 8C
-3H 3D 5D KS 4H TD AD 3S 4D TS
-5S 7C 8S 7D 2C KS 7S 6C 8C JS
-5D 2H 3S 7C 5C QD 5H 6D 9C 9H
-JS 2S KD 9S 8D TD TS AC 8C 9D
-5H QD 2S AC 8C 9H KS 7C 4S 3C
-KH AS 3H 8S 9C JS QS 4S AD 4D
-AS 2S TD AD 4D 9H JC 4C 5H QS
-5D 7C 4H TC 2D 6C JS 4S KC 3S
-4C 2C 5D AC 9H 3D JD 8S QS QH
-2C 8S 6H 3C QH 6D TC KD AC AH
-QC 6C 3S QS 4S AC 8D 5C AD KH
-5S 4C AC KH AS QC 2C 5C 8D 9C
-8H JD 3C KH 8D 5C 9C QD QH 9D
-7H TS 2C 8C 4S TD JC 9C 5H QH
-JS 4S 2C 7C TH 6C AS KS 7S JD
-JH 7C 9H 7H TC 5H 3D 6D 5D 4D
-2C QD JH 2H 9D 5S 3D TD AD KS
-JD QH 3S 4D TH 7D 6S QS KS 4H
-TC KS 5S 8D 8H AD 2S 2D 4C JH
-5S JH TC 3S 2D QS 9D 4C KD 9S
-AC KH 3H AS 9D KC 9H QD 6C 6S
-9H 7S 3D 5C 7D KC TD 8H 4H 6S
-3C 7H 8H TC QD 4D 7S 6S QH 6C
-6D AD 4C QD 6C 5D 7D 9D KS TS
-JH 2H JD 9S 7S TS KH 8D 5D 8H
-2D 9S 4C 7D 9D 5H QD 6D AC 6S
-7S 6D JC QD JH 4C 6S QS 2H 7D
-8C TD JH KD 2H 5C QS 2C JS 7S
-TC 5H 4H JH QD 3S 5S 5D 8S KH
-KS KH 7C 2C 5D JH 6S 9C 6D JC
-5H AH JD 9C JS KC 2H 6H 4D 5S
-AS 3C TH QC 6H 9C 8S 8C TD 7C
-KC 2C QD 9C KH 4D 7S 3C TS 9H
-9C QC 2S TS 8C TD 9S QD 3S 3C
-4D 9D TH JH AH 6S 2S JD QH JS
-QD 9H 6C KD 7D 7H 5D 6S 8H AH
-8H 3C 4S 2H 5H QS QH 7S 4H AC
-QS 3C 7S 9S 4H 3S AH KS 9D 7C
-AD 5S 6S 2H 2D 5H TC 4S 3C 8C
-QH TS 6S 4D JS KS JH AS 8S 6D
-2C 8S 2S TD 5H AS TC TS 6C KC
-KC TS 8H 2H 3H 7C 4C 5S TH TD
-KD AD KH 7H 7S 5D 5H 5S 2D 9C
-AD 9S 3D 7S 8C QC 7C 9C KD KS
-3C QC 9S 8C 4D 5C AS QD 6C 2C
-2H KC 8S JD 7S AC 8D 5C 2S 4D
-9D QH 3D 2S TC 3S KS 3C 9H TD
-KD 6S AC 2C 7H 5H 3S 6C 6H 8C
-QH TC 8S 6S KH TH 4H 5D TS 4D
-8C JS 4H 6H 2C 2H 7D AC QD 3D
-QS KC 6S 2D 5S 4H TD 3H JH 4C
-7S 5H 7H 8H KH 6H QS TH KD 7D
-5H AD KD 7C KH 5S TD 6D 3C 6C
-8C 9C 5H JD 7C KC KH 7H 2H 3S
-7S 4H AD 4D 8S QS TH 3D 7H 5S
-8D TC KS KD 9S 6D AD JD 5C 2S
-7H 8H 6C QD 2H 6H 9D TC 9S 7C
-8D 6D 4C 7C 6C 3C TH KH JS JH
-5S 3S 8S JS 9H AS AD 8H 7S KD
-JH 7C 2C KC 5H AS AD 9C 9S JS
-AD AC 2C 6S QD 7C 3H TH KS KD
-9D JD 4H 8H 4C KH 7S TS 8C KC
-3S 5S 2H 7S 6H 7D KS 5C 6D AD
-5S 8C 9H QS 7H 7S 2H 6C 7D TD
-QS 5S TD AC 9D KC 3D TC 2D 4D
-TD 2H 7D JD QD 4C 7H 5D KC 3D
-4C 3H 8S KD QH 5S QC 9H TC 5H
-9C QD TH 5H TS 5C 9H AH QH 2C
-4D 6S 3C AC 6C 3D 2C 2H TD TH
-AC 9C 5D QC 4D AD 8D 6D 8C KC
-AD 3C 4H AC 8D 8H 7S 9S TD JC
-4H 9H QH JS 2D TH TD TC KD KS
-5S 6S 9S 8D TH AS KH 5H 5C 8S
-JD 2S 9S 6S 5S 8S 5D 7S 7H 9D
-5D 8C 4C 9D AD TS 2C 7D KD TC
-8S QS 4D KC 5C 8D 4S KH JD KD
-AS 5C AD QH 7D 2H 9S 7H 7C TC
-2S 8S JD KH 7S 6C 6D AD 5D QC
-9H 6H 3S 8C 8H AH TC 4H JS TD
-2C TS 4D 7H 2D QC 9C 5D TH 7C
-6C 8H QC 5D TS JH 5C 5H 9H 4S
-2D QC 7H AS JS 8S 2H 4C 4H 8D
-JS 6S AC KD 3D 3C 4S 7H TH KC
-QH KH 6S QS 5S 4H 3C QD 3S 3H
-7H AS KH 8C 4H 9C 5S 3D 6S TS
-9C 7C 3H 5S QD 2C 3D AD AC 5H
-JH TD 2D 4C TS 3H KH AD 3S 7S
-AS 4C 5H 4D 6S KD JC 3C 6H 2D
-3H 6S 8C 2D TH 4S AH QH AD 5H
-7C 2S 9H 7H KC 5C 6D 5S 3H JC
-3C TC 9C 4H QD TD JH 6D 9H 5S
-7C 6S 5C 5D 6C 4S 7H 9H 6H AH
-AD 2H 7D KC 2C 4C 2S 9S 7H 3S
-TH 4C 8S 6S 3S AD KS AS JH TD
-5C TD 4S 4D AD 6S 5D TC 9C 7D
-8H 3S 4D 4S 5S 6H 5C AC 3H 3D
-9H 3C AC 4S QS 8S 9D QH 5H 4D
-JC 6C 5H TS AC 9C JD 8C 7C QD
-8S 8H 9C JD 2D QC QH 6H 3C 8D
-KS JS 2H 6H 5H QH QS 3H 7C 6D
-TC 3H 4S 7H QC 2H 3S 8C JS KH
-AH 8H 5S 4C 9H JD 3H 7S JC AC
-3C 2D 4C 5S 6C 4S QS 3S JD 3D
-5H 2D TC AH KS 6D 7H AD 8C 6H
-6C 7S 3C JD 7C 8H KS KH AH 6D
-AH 7D 3H 8H 8S 7H QS 5H 9D 2D
-JD AC 4H 7S 8S 9S KS AS 9D QH
-7S 2C 8S 5S JH QS JC AH KD 4C
-AH 2S 9H 4H 8D TS TD 6H QH JD
-4H JC 3H QS 6D 7S 9C 8S 9D 8D
-5H TD 4S 9S 4C 8C 8D 7H 3H 3D
-QS KH 3S 2C 2S 3C 7S TD 4S QD
-7C TD 4D 5S KH AC AS 7H 4C 6C
-2S 5H 6D JD 9H QS 8S 2C 2H TD
-2S TS 6H 9H 7S 4H JC 4C 5D 5S
-2C 5H 7D 4H 3S QH JC JS 6D 8H
-4C QH 7C QD 3S AD TH 8S 5S TS
-9H TC 2S TD JC 7D 3S 3D TH QH
-7D 4C 8S 5C JH 8H 6S 3S KC 3H
-JC 3H KH TC QH TH 6H 2C AC 5H
-QS 2H 9D 2C AS 6S 6C 2S 8C 8S
-9H 7D QC TH 4H KD QS AC 7S 3C
-4D JH 6S 5S 8H KS 9S QC 3S AS
-JD 2D 6S 7S TC 9H KC 3H 7D KD
-2H KH 7C 4D 4S 3H JS QD 7D KC
-4C JC AS 9D 3C JS 6C 8H QD 4D
-AH JS 3S 6C 4C 3D JH 6D 9C 9H
-9H 2D 8C 7H 5S KS 6H 9C 2S TC
-6C 8C AD 7H 6H 3D KH AS 5D TH
-KS 8C 3S TS 8S 4D 5S 9S 6C 4H
-9H 4S 4H 5C 7D KC 2D 2H 9D JH
-5C JS TC 9D 9H 5H 7S KH JC 6S
-7C 9H 8H 4D JC KH JD 2H TD TC
-8H 6C 2H 2C KH 6H 9D QS QH 5H
-AC 7D 2S 3D QD JC 2D 8D JD JH
-2H JC 2D 7H 2C 3C 8D KD TD 4H
-3S 4H 6D 8D TS 3H TD 3D 6H TH
-JH JC 3S AC QH 9H 7H 8S QC 2C
-7H TD QS 4S 8S 9C 2S 5D 4D 2H
-3D TS 3H 2S QC 8H 6H KC JC KS
-5D JD 7D TC 8C 6C 9S 3D 8D AC
-8H 6H JH 6C 5D 8D 8S 4H AD 2C
-9D 4H 2D 2C 3S TS AS TC 3C 5D
-4D TH 5H KS QS 6C 4S 2H 3D AD
-5C KC 6H 2C 5S 3C 4D 2D 9H 9S
-JD 4C 3H TH QH 9H 5S AH 8S AC
-7D 9S 6S 2H TD 9C 4H 8H QS 4C
-3C 6H 5D 4H 8C 9C KC 6S QD QS
-3S 9H KD TC 2D JS 8C 6S 4H 4S
-2S 4C 8S QS 6H KH 3H TH 8C 5D
-2C KH 5S 3S 7S 7H 6C 9D QD 8D
-8H KS AC 2D KH TS 6C JS KC 7H
-9C KS 5C TD QC AH 6C 5H 9S 7C
-5D 4D 3H 4H 6S 7C 7S AH QD TD
-2H 7D QC 6S TC TS AH 7S 9D 3H
-TH 5H QD 9S KS 7S 7C 6H 8C TD
-TH 2D 4D QC 5C 7D JD AH 9C 4H
-4H 3H AH 8D 6H QC QH 9H 2H 2C
-2D AD 4C TS 6H 7S TH 4H QS TD
-3C KD 2H 3H QS JD TC QC 5D 8H
-KS JC QD TH 9S KD 8D 8C 2D 9C
-3C QD KD 6D 4D 8D AH AD QC 8S
-8H 3S 9D 2S 3H KS 6H 4C 7C KC
-TH 9S 5C 3D 7D 6H AC 7S 4D 2C
-5C 3D JD 4D 2D 6D 5H 9H 4C KH
-AS 7H TD 6C 2H 3D QD KS 4C 4S
-JC 3C AC 7C JD JS 8H 9S QC 5D
-JD 6S 5S 2H AS 8C 7D 5H JH 3D
-8D TC 5S 9S 8S 3H JC 5H 7S AS
-5C TD 3D 7D 4H 8D 7H 4D 5D JS
-QS 9C KS TD 2S 8S 5C 2H 4H AS
-TH 7S 4H 7D 3H JD KD 5D 2S KC
-JD 7H 4S 8H 4C JS 6H QH 5S 4H
-2C QS 8C 5S 3H QC 2S 6C QD AD
-8C 3D JD TC 4H 2H AD 5S AC 2S
-5D 2C JS 2D AD 9D 3D 4C 4S JH
-8D 5H 5D 6H 7S 4D KS 9D TD JD
-3D 6D 9C 2S AS 7D 5S 5C 8H JD
-7C 8S 3S 6S 5H JD TC AD 7H 7S
-2S 9D TS 4D AC 8D 6C QD JD 3H
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-8S 6S 2H JC 3S 3H 9D 8C 2S 7H
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diff --git a/src/projecteuler/055.py b/src/projecteuler/055.py deleted file mode 100644 index d623d9b..0000000 --- a/src/projecteuler/055.py +++ /dev/null @@ -1,17 +0,0 @@ - -def lychrel(x): - for i in xrange(50): - t = x + int(str(x)[::-1]) - if t == int(str(t)[::-1]): - return False - x = t - return True - -count = 0 - -for i in xrange(1, 10000): - if lychrel(i): - count += 1 - -print count - diff --git a/src/projecteuler/056.py b/src/projecteuler/056.py deleted file mode 100644 index 567f41d..0000000 --- a/src/projecteuler/056.py +++ /dev/null @@ -1,18 +0,0 @@ - -def digit_sum(n): - s = 0 - while n > 0: - s += n % 10 - n /= 10 - return s - -max_sum = 0 - -for i in range(2, 100): - for j in range(2, 100): - s = digit_sum(i**j) - if s > max_sum: - max_sum = s - -print max_sum - diff --git a/src/projecteuler/057.py b/src/projecteuler/057.py deleted file mode 100644 index 8098995..0000000 --- a/src/projecteuler/057.py +++ /dev/null @@ -1,16 +0,0 @@ - -def get_fraction(c): - (n, d) = (1, 2) - for i in xrange(1, c): - (n, d) = (2*d+n, d) # add 2 - (n, d) = (d, n) # 1/x, swap entries - return (d+n, d) # add 1 - -count = 0 -for i in xrange(1, 1000): - (n, d) = get_fraction(i) - if len(str(n)) > len(str(d)): - count += 1 - -print count - diff --git a/src/projecteuler/058.py b/src/projecteuler/058.py deleted file mode 100644 index a483fac..0000000 --- a/src/projecteuler/058.py +++ /dev/null @@ -1,39 +0,0 @@ -from common import sieve - -primes = sieve(30000).primes() -prime_list = list(primes) -prime_list.sort() - -def is_prime(n): - if n in primes: - return True - for p in prime_list: - if p*p > n: - return True - if n % p == 0: - return False - return True - -def count_primes(numbers): - prime = 0 - for n in numbers: - if is_prime(n): - prime += 1 - return prime - -#numbers = [1, 3, 5, 7, 9] -prime_count = 3 -number_count = 5 -level = 2 -last = 9 - -while 10*prime_count >= number_count: - step = 2 * level - numbers = [last+step, last+2*step, last+3*step, last+4*step] - prime_count += count_primes(numbers) - number_count += 4 - level += 1 - last += 4*step - -print 2*(level-1) + 1 - diff --git a/src/projecteuler/059.py b/src/projecteuler/059.py deleted file mode 100644 index 449afb7..0000000 --- a/src/projecteuler/059.py +++ /dev/null @@ -1,28 +0,0 @@ -import string - -keys = [] - -for a in string.lowercase: - for b in string.lowercase: - for c in string.lowercase: - keys.append(a+b+c) - -f = open('059.txt', 'r') -content = f.read().split(',') -f.close() - -cipher = [ int(i) for i in content ] -cipher_len = len(cipher) - -for key in keys: - decoded = "" - for p in range(0, cipher_len): - decoded += chr(cipher[p] ^ ord(key[p%3])) - if decoded.find(" the ") != -1 and decoded.find(" and ") != -1: - break - -#print decoded -#print key - -print sum([ ord(x) for x in decoded ]) - diff --git a/src/projecteuler/059.txt b/src/projecteuler/059.txt deleted file mode 100644 index 08cee2d..0000000 --- a/src/projecteuler/059.txt +++ /dev/null @@ -1 +0,0 @@ -79,59,12,2,79,35,8,28,20,2,3,68,8,9,68,45,0,12,9,67,68,4,7,5,23,27,1,21,79,85,78,79,85,71,38,10,71,27,12,2,79,6,2,8,13,9,1,13,9,8,68,19,7,1,71,56,11,21,11,68,6,3,22,2,14,0,30,79,1,31,6,23,19,10,0,73,79,44,2,79,19,6,28,68,16,6,16,15,79,35,8,11,72,71,14,10,3,79,12,2,79,19,6,28,68,32,0,0,73,79,86,71,39,1,71,24,5,20,79,13,9,79,16,15,10,68,5,10,3,14,1,10,14,1,3,71,24,13,19,7,68,32,0,0,73,79,87,71,39,1,71,12,22,2,14,16,2,11,68,2,25,1,21,22,16,15,6,10,0,79,16,15,10,22,2,79,13,20,65,68,41,0,16,15,6,10,0,79,1,31,6,23,19,28,68,19,7,5,19,79,12,2,79,0,14,11,10,64,27,68,10,14,15,2,65,68,83,79,40,14,9,1,71,6,16,20,10,8,1,79,19,6,28,68,14,1,68,15,6,9,75,79,5,9,11,68,19,7,13,20,79,8,14,9,1,71,8,13,17,10,23,71,3,13,0,7,16,71,27,11,71,10,18,2,29,29,8,1,1,73,79,81,71,59,12,2,79,8,14,8,12,19,79,23,15,6,10,2,28,68,19,7,22,8,26,3,15,79,16,15,10,68,3,14,22,12,1,1,20,28,72,71,14,10,3,79,16,15,10,68,3,14,22,12,1,1,20,28,68,4,14,10,71,1,1,17,10,22,71,10,28,19,6,10,0,26,13,20,7,68,14,27,74,71,89,68,32,0,0,71,28,1,9,27,68,45,0,12,9,79,16,15,10,68,37,14,20,19,6,23,19,79,83,71,27,11,71,27,1,11,3,68,2,25,1,21,22,11,9,10,68,6,13,11,18,27,68,19,7,1,71,3,13,0,7,16,71,28,11,71,27,12,6,27,68,2,25,1,21,22,11,9,10,68,10,6,3,15,27,68,5,10,8,14,10,18,2,79,6,2,12,5,18,28,1,71,0,2,71,7,13,20,79,16,2,28,16,14,2,11,9,22,74,71,87,68,45,0,12,9,79,12,14,2,23,2,3,2,71,24,5,20,79,10,8,27,68,19,7,1,71,3,13,0,7,16,92,79,12,2,79,19,6,28,68,8,1,8,30,79,5,71,24,13,19,1,1,20,28,68,19,0,68,19,7,1,71,3,13,0,7,16,73,79,93,71,59,12,2,79,11,9,10,68,16,7,11,71,6,23,71,27,12,2,79,16,21,26,1,71,3,13,0,7,16,75,79,19,15,0,68,0,6,18,2,28,68,11,6,3,15,27,68,19,0,68,2,25,1,21,22,11,9,10,72,71,24,5,20,79,3,8,6,10,0,79,16,8,79,7,8,2,1,71,6,10,19,0,68,19,7,1,71,24,11,21,3,0,73,79,85,87,79,38,18,27,68,6,3,16,15,0,17,0,7,68,19,7,1,71,24,11,21,3,0,71,24,5,20,79,9,6,11,1,71,27,12,21,0,17,0,7,68,15,6,9,75,79,16,15,10,68,16,0,22,11,11,68,3,6,0,9,72,16,71,29,1,4,0,3,9,6,30,2,79,12,14,2,68,16,7,1,9,79,12,2,79,7,6,2,1,73,79,85,86,79,33,17,10,10,71,6,10,71,7,13,20,79,11,16,1,68,11,14,10,3,79,5,9,11,68,6,2,11,9,8,68,15,6,23,71,0,19,9,79,20,2,0,20,11,10,72,71,7,1,71,24,5,20,79,10,8,27,68,6,12,7,2,31,16,2,11,74,71,94,86,71,45,17,19,79,16,8,79,5,11,3,68,16,7,11,71,13,1,11,6,1,17,10,0,71,7,13,10,79,5,9,11,68,6,12,7,2,31,16,2,11,68,15,6,9,75,79,12,2,79,3,6,25,1,71,27,12,2,79,22,14,8,12,19,79,16,8,79,6,2,12,11,10,10,68,4,7,13,11,11,22,2,1,68,8,9,68,32,0,0,73,79,85,84,79,48,15,10,29,71,14,22,2,79,22,2,13,11,21,1,69,71,59,12,14,28,68,14,28,68,9,0,16,71,14,68,23,7,29,20,6,7,6,3,68,5,6,22,19,7,68,21,10,23,18,3,16,14,1,3,71,9,22,8,2,68,15,26,9,6,1,68,23,14,23,20,6,11,9,79,11,21,79,20,11,14,10,75,79,16,15,6,23,71,29,1,5,6,22,19,7,68,4,0,9,2,28,68,1,29,11,10,79,35,8,11,74,86,91,68,52,0,68,19,7,1,71,56,11,21,11,68,5,10,7,6,2,1,71,7,17,10,14,10,71,14,10,3,79,8,14,25,1,3,79,12,2,29,1,71,0,10,71,10,5,21,27,12,71,14,9,8,1,3,71,26,23,73,79,44,2,79,19,6,28,68,1,26,8,11,79,11,1,79,17,9,9,5,14,3,13,9,8,68,11,0,18,2,79,5,9,11,68,1,14,13,19,7,2,18,3,10,2,28,23,73,79,37,9,11,68,16,10,68,15,14,18,2,79,23,2,10,10,71,7,13,20,79,3,11,0,22,30,67,68,19,7,1,71,8,8,8,29,29,71,0,2,71,27,12,2,79,11,9,3,29,71,60,11,9,79,11,1,79,16,15,10,68,33,14,16,15,10,22,73
diff --git a/src/projecteuler/060.py b/src/projecteuler/060.py deleted file mode 100644 index 22d1311..0000000 --- a/src/projecteuler/060.py +++ /dev/null @@ -1,49 +0,0 @@ -from common import sieve - -# -# WARNING: uses a lot of RAM! -# -# notes: -# - limit:1000000, sieve:50000000 -> no result when starting with ["3"] or ["7"] -# - limit:800000, sieve:50000000 -> no result! -# - limit:100000, sieve:100000000 -> [['13', '5197', '5701', '6733', '8389']] -# -# - -limit = 9000 - -primes = sieve(int(str(limit)+str(limit))).primes() -prime_list = [ p for p in primes if p < limit] -prime_list.sort() -prime_list_str = [ str(p) for p in prime_list ] - -def check_list(l): - result = [] - for sublist in l: - for p in prime_list_str: - isprime = True - for n in sublist: - if int(n+p) not in primes or int(p+n) not in primes: - isprime = False - break - if isprime: - result += [ sublist+[p] ] - - return result - - -def cleanup(l): - result = [] - for sublist in l: - sublist.sort() - if sublist not in result: - result += [sublist] - return result - - -l = [ [p] for p in prime_list_str ] -for i in range(4): - l = cleanup(check_list(l)) - -print l - diff --git a/src/projecteuler/061.py b/src/projecteuler/061.py deleted file mode 100644 index d9688e1..0000000 --- a/src/projecteuler/061.py +++ /dev/null @@ -1,53 +0,0 @@ - -import sys - -triangle = set([ n*(n+1)/2 for n in range(45,141) ]) -square = set([ n*n for n in range(32,99) ]) -pentagonal = set([ n*(3*n-1)/2 for n in range(26,82) ]) -hexagonal = set([ n*(2*n-1) for n in range(23,71) ]) -heptagonal = set([ n*(5*n-3)/2 for n in range(21,64) ]) -octagonal = set([ n*(3*n-2) for n in range(19,59) ]) - -whole = set(triangle | square | pentagonal | hexagonal | heptagonal | octagonal) - - -def check_cond(testset): - check = 0 - for e in testset: - if e in octagonal: - check |= 1 - elif e in heptagonal: - check |= 2 - elif e in hexagonal: - check |= 4 - elif e in pentagonal: - check |= 8 - elif e in square: - check |= 16 - elif e in triangle: - check |= 32 - return check == 63 - -for i0 in whole: - t0 = i0 % 100 - tail0 = [ n for n in whole if t0*100 < n < (t0+1)*100 ] - for i1 in tail0: - t1 = i1 % 100 - tail1 = [ n for n in whole if t1*100 < n < (t1+1)*100 ] - for i2 in tail1: - t2 = i2 % 100 - tail2 = [ n for n in whole if t2*100 < n < (t2+1)*100 ] - for i3 in tail2: - t3 = i3 % 100 - tail3 = [ n for n in whole if t3*100 < n < (t3+1)*100 ] - for i4 in tail3: - t4 = i4 % 100 - tail4 = [ n for n in whole if t4*100 < n < (t4+1)*100 ] - for i5 in tail4: - if i5 % 100 != i0 / 100: - continue - s = set([i0, i1, i2, i3, i4, i5]) - if len(s) == 6 and check_cond(s): - print sum(s) - sys.exit(0) - diff --git a/src/projecteuler/062.c b/src/projecteuler/062.c deleted file mode 100644 index 4ba3350..0000000 --- a/src/projecteuler/062.c +++ /dev/null @@ -1,57 +0,0 @@ -#include <stdlib.h> -#include <stdio.h> -#include <string.h> - -struct number -{ - char digits[10]; -}; - -const int cubecount = 30000; -struct number* cubedigits; - -int main(void) -{ - int i, j; - - cubedigits = (struct number*) malloc(cubecount*sizeof(struct number)); - memset(cubedigits, 0, cubecount*sizeof(struct number)); - - for(i=1; i<cubecount; i++) - { - unsigned long long c = (unsigned long long)i*i*i; - int smallest = 0; - char count; - - while(c > 0) - { - char digit = c % 10; - cubedigits[i].digits[digit]++; - c /= 10; - } - - // search for permutations (i.e. same digits) - count = 0; - for(j=1; j<i; j++) - { - if(memcmp(cubedigits[i].digits, cubedigits[j].digits, sizeof(struct number)) == 0) - { - if(smallest == 0) - smallest = j; - - count++; - } - } - - if(count == 4) // 4 additional permutations - { - printf("%lli\n", (unsigned long long)smallest*smallest*smallest); - break; - } - } - - free(cubedigits); - - return 0; -} - diff --git a/src/projecteuler/063.py b/src/projecteuler/063.py deleted file mode 100644 index f80058b..0000000 --- a/src/projecteuler/063.py +++ /dev/null @@ -1,23 +0,0 @@ - -import math - -upper = 9+1 - -digits = [] - -# borders searched manually... -digits += xrange(1, upper) -digits += [x*x for x in xrange(4, upper)] -digits += [math.pow(x,3) for x in xrange(5, upper)] -digits += [math.pow(x,4) for x in xrange(6, upper)] -digits += [math.pow(x,5) for x in xrange(7, upper)] -digits += [math.pow(x,6) for x in xrange(7, upper)] -digits += [math.pow(x,7) for x in xrange(8, upper)] -digits += [math.pow(x,8) for x in xrange(8, upper)] -digits += [math.pow(x,9) for x in xrange(8, upper)] -digits += [math.pow(x,10) for x in xrange(8, upper)] -for i in xrange(11, 21+1): - digits += [math.pow(x,i) for x in xrange(9, upper)] - -print len(digits) - diff --git a/src/projecteuler/064.c b/src/projecteuler/064.c deleted file mode 100644 index 0e60211..0000000 --- a/src/projecteuler/064.c +++ /dev/null @@ -1,84 +0,0 @@ -#include <math.h> -#include <stdlib.h> -#include <stdio.h> -#include <string.h> - - -const int size = 100; -double *fraction; -int pos = 0; - -void continued_fraction(int n) -{ - double sqrtn, x, y, an, a0; - - memset(fraction, 0, size*sizeof(double)); - pos = 0; - - sqrtn = sqrt((double)n); - a0 = floor(sqrtn); - - if((int)sqrtn*sqrtn == n) // works only for rational square roots - { - fraction[pos] = sqrtn; - return; - } - - // - // floor + ( sqrt(23) - x ) / y - // nenner = (23 - x*x) - // tmp = y * (sqrt(23) + x) / nenner) - // an = floor(tmp) - // x = an*nenner/y - x - // - x = a0; - y = 1.0; - - while(1) - { - double denominator = (n - x*x); - double tmp = y * (sqrtn + x) / denominator; - an = floor(tmp); - x = (an * denominator / y) - x; - y = denominator / y; - - fraction[pos++] = an; - - if(an == 2*a0) - break; - } - - /* - // not working because of double imprecision - while(1) - { - an = floorl(a); - r = 1/(a - an); - a = r; - - fraction[++pos] = an; - - if(an == 2*a0) - break; - } - */ -} - -int main(void) -{ - int i, count=0; - - fraction = (double*) malloc(size*sizeof(double)); - - for(i=2; i<=10000; i++) - { - continued_fraction(i); - if(pos > 0 && pos&1 == 1) - count++; - } - - printf("%i\n", count); - - return 0; -} - diff --git a/src/projecteuler/065.c b/src/projecteuler/065.c deleted file mode 100644 index 94c17fd..0000000 --- a/src/projecteuler/065.c +++ /dev/null @@ -1,40 +0,0 @@ -#include <gmp.h> -#include <stdio.h> - -#define limit 100 - -unsigned int start = 2; -unsigned int factors[limit-1]; - -int main(void) -{ - int pos, k=1, sum; - mpz_t numerator, denominator; - - for(pos=0; pos<limit-1; pos++) - { - if(pos % 3 == 1) - factors[pos] = 2*(k++); - else - factors[pos] = 1; - } - - mpz_init_set_ui(numerator, 1); - mpz_init_set_ui(denominator, factors[limit-2]); - for(pos=limit-3; pos>=0; pos--) - { - mpz_addmul_ui(numerator, denominator, factors[pos]); // numerator += denominator * factors[pos] - mpz_swap(numerator, denominator); - } - - mpz_addmul_ui(numerator, denominator, start); // numerator += denominator * start - - sum = 0; - while(mpz_cmp_ui(numerator, 0) > 0) - sum += mpz_fdiv_q_ui(numerator, numerator, 10); - - printf("%li\n", sum); - - return 0; -} - diff --git a/src/projecteuler/066.c b/src/projecteuler/066.c deleted file mode 100644 index 3c1014e..0000000 --- a/src/projecteuler/066.c +++ /dev/null @@ -1,112 +0,0 @@ -#include <gmp.h> -#include <math.h> -#include <stdio.h> -#include <string.h> -#include <stdlib.h> - -// numerator/denominator pairs of continued fractions are solutions to pell's equations - -/* - * taken from problem 65 - * - * numerator, denominator: resulting num / denom are stored there - * limit: depth of continued fraction - * start: decimal part (pre-period) - * factors, factor_len: period of continued fraction with factor_len elements - * - */ -void compute(mpz_t numerator, mpz_t denominator, unsigned int limit, - unsigned long start, const unsigned int* factors, unsigned int factor_len) -{ - int i; - mpz_set_ui(numerator, 1); - mpz_set_ui(denominator, factors[limit % factor_len]); - for(i=limit-1; i>=0; i--) - { - mpz_addmul_ui(numerator, denominator, factors[i % factor_len]); - mpz_swap(numerator, denominator); - } - mpz_addmul_ui(numerator, denominator, start); -} - -// taken from problem 64 -int continued_fraction(unsigned int* fraction, unsigned int n) -{ - double sqrtn, x, y; - unsigned int an, a0, pos=0; - - sqrtn = sqrt((double)n); - a0 = (int)floor(sqrtn); - - fraction[pos++] = sqrtn; - - if((int)sqrtn*sqrtn == n) // works only for rational square roots - return 1; - - x = (double)a0; - y = 1.0; - - while(1) - { - double denominator = (n - x*x); - double tmp = y * (sqrtn + x) / denominator; - an = (int)floor(tmp); - x = (an * denominator / y) - x; - y = denominator / y; - - fraction[pos++] = an; - - if(an == 2*a0) - break; - } - - return pos; -} - -const int max_period_size = 100; - -int main(void) -{ - int d, i, maxd=0; - mpz_t maxx, numerator, denominator, tmp1, tmp2; - unsigned int* fraction = (unsigned int*) malloc(max_period_size*sizeof(unsigned int)); - - mpz_init_set_ui(maxx, 0); - mpz_init(numerator); - mpz_init(denominator); - mpz_init(tmp1); - mpz_init(tmp2); - - for(d=2; d<=1000; d++) - { - - memset(fraction, 0, max_period_size*sizeof(unsigned int)); - int frac_len = continued_fraction(fraction, d); - - if(frac_len == 1) // no solution for squares - continue; - - for(i=0;;i++) - { - compute(numerator, denominator, i, fraction[0], &(fraction[1]), frac_len-1); - - // numerator^2 - denominator^2 * d - mpz_mul(tmp1, numerator, numerator); - mpz_mul(tmp2, denominator, denominator); - mpz_submul_ui(tmp1, tmp2, d); - if(mpz_cmp_ui(tmp1, 1) == 0) - break; - } - - if(mpz_cmp(numerator, maxx) > 0) - { - mpz_set(maxx, numerator); - maxd = d; - } - } - - printf("%d\n", maxd); - - return 0; -} - diff --git a/src/projecteuler/067.py b/src/projecteuler/067.py deleted file mode 100644 index 2678fd9..0000000 --- a/src/projecteuler/067.py +++ /dev/null @@ -1,20 +0,0 @@ - -triangle = [] - -f = open('067.txt', 'r') -for line in f: - line.rstrip('\n') - row_str = line.split(' ') - row_int = [ int(x) for x in row_str ] - triangle.append(row_int) -f.close() - -for i in range(1, len(triangle)): - rowlen = len(triangle[i]) - triangle[i][0] += triangle[i-1][0] - triangle[i][rowlen-1] += triangle[i-1][rowlen-2] - for j in range(1, rowlen-1): - triangle[i][j] += max(triangle[i-1][j-1], triangle[i-1][j]) - -print max(triangle[-1]) - diff --git a/src/projecteuler/067.txt b/src/projecteuler/067.txt deleted file mode 100644 index 00f98e3..0000000 --- a/src/projecteuler/067.txt +++ /dev/null @@ -1,100 +0,0 @@ -59
-73 41
-52 40 09
-26 53 06 34
-10 51 87 86 81
-61 95 66 57 25 68
-90 81 80 38 92 67 73
-30 28 51 76 81 18 75 44
-84 14 95 87 62 81 17 78 58
-21 46 71 58 02 79 62 39 31 09
-56 34 35 53 78 31 81 18 90 93 15
-78 53 04 21 84 93 32 13 97 11 37 51
-45 03 81 79 05 18 78 86 13 30 63 99 95
-39 87 96 28 03 38 42 17 82 87 58 07 22 57
-06 17 51 17 07 93 09 07 75 97 95 78 87 08 53
-67 66 59 60 88 99 94 65 55 77 55 34 27 53 78 28
-76 40 41 04 87 16 09 42 75 69 23 97 30 60 10 79 87
-12 10 44 26 21 36 32 84 98 60 13 12 36 16 63 31 91 35
-70 39 06 05 55 27 38 48 28 22 34 35 62 62 15 14 94 89 86
-66 56 68 84 96 21 34 34 34 81 62 40 65 54 62 05 98 03 02 60
-38 89 46 37 99 54 34 53 36 14 70 26 02 90 45 13 31 61 83 73 47
-36 10 63 96 60 49 41 05 37 42 14 58 84 93 96 17 09 43 05 43 06 59
-66 57 87 57 61 28 37 51 84 73 79 15 39 95 88 87 43 39 11 86 77 74 18
-54 42 05 79 30 49 99 73 46 37 50 02 45 09 54 52 27 95 27 65 19 45 26 45
-71 39 17 78 76 29 52 90 18 99 78 19 35 62 71 19 23 65 93 85 49 33 75 09 02
-33 24 47 61 60 55 32 88 57 55 91 54 46 57 07 77 98 52 80 99 24 25 46 78 79 05
-92 09 13 55 10 67 26 78 76 82 63 49 51 31 24 68 05 57 07 54 69 21 67 43 17 63 12
-24 59 06 08 98 74 66 26 61 60 13 03 09 09 24 30 71 08 88 70 72 70 29 90 11 82 41 34
-66 82 67 04 36 60 92 77 91 85 62 49 59 61 30 90 29 94 26 41 89 04 53 22 83 41 09 74 90
-48 28 26 37 28 52 77 26 51 32 18 98 79 36 62 13 17 08 19 54 89 29 73 68 42 14 08 16 70 37
-37 60 69 70 72 71 09 59 13 60 38 13 57 36 09 30 43 89 30 39 15 02 44 73 05 73 26 63 56 86 12
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diff --git a/src/projecteuler/068.py b/src/projecteuler/068.py deleted file mode 100644 index 2357156..0000000 --- a/src/projecteuler/068.py +++ /dev/null @@ -1,5 +0,0 @@ -# 16-digit string -> 10 on the outside (used once) - -# solved on paper by "trial-and-error": -print "6531031914842725" - diff --git a/src/projecteuler/069.py b/src/projecteuler/069.py deleted file mode 100644 index 99236c5..0000000 --- a/src/projecteuler/069.py +++ /dev/null @@ -1,28 +0,0 @@ -from common import sieve - -primes = sieve(1000000).primes() -prime_list = [ p for p in primes if p < 1000 ] -prime_list.sort() - -def phi(x): - if x in primes: - return x-1 - product = x - for p in prime_list: - if p*p > x: - break - if x % p != 0: - continue - product *= (1 - 1/float(p)) - return product - -maxn = 0 -maxres = 0 - -for n in xrange(2, 1000001): - if n/phi(n) >= maxres: - maxres = n/phi(n) - maxn = n - -print maxn - diff --git a/src/projecteuler/069_2.py b/src/projecteuler/069_2.py deleted file mode 100644 index c00483b..0000000 --- a/src/projecteuler/069_2.py +++ /dev/null @@ -1,22 +0,0 @@ -# -# n/phi(n) is a maximum, if phi(n) is minimal -# -# phi(n) = n*(1-1/p1)*(1-1/p2)*...*(1-1/pi) -# n/phi(n) = 1/((1-1/p1)*(1-1/p2)*...*(1-1/pi)) -# -> smallest primes -# - -from common import sieve - -primes = sieve(100).primes() -prime_list = [ x for x in primes ] -prime_list.sort() - -x = 1 -for p in prime_list: - if x*p > 1000000: - break - x *= p - -print x - diff --git a/src/projecteuler/071.py b/src/projecteuler/071.py deleted file mode 100644 index 44c38b0..0000000 --- a/src/projecteuler/071.py +++ /dev/null @@ -1,15 +0,0 @@ - -from common import ggt -import math - -limit = 1000000 - -(n1, d1) = (1, limit) - -for d2 in xrange(limit+1): - n2 = int(math.floor(float(d2) * 3.0/7.0)) - if n2*d1 > n1*d2 and ggt(n2, d2) == 1 and d2 != 7: - (n1, d1) = (n2, d2) - -print n1 - diff --git a/src/projecteuler/072.c b/src/projecteuler/072.c deleted file mode 100644 index c886291..0000000 --- a/src/projecteuler/072.c +++ /dev/null @@ -1,16 +0,0 @@ -#include "common.h" - -const int limit = 1000000; - -int main() -{ - unsigned long* prime_list = primes(limit); - unsigned long sum = 0; - int n; - - for(n=2; n<limit; n++) - sum += phi(n, prime_list); - - printf("%ld\n", sum); -} - diff --git a/src/projecteuler/072.txt b/src/projecteuler/072.txt deleted file mode 100644 index d99267c..0000000 --- a/src/projecteuler/072.txt +++ /dev/null @@ -1,16 +0,0 @@ -solved with wolframalpha.com: - sum phi(n), n=2 to 1000000 - - 3039650753 -+ 9118948164 -+ 15198149566 -+ 21277458826 -+ 27356832366 -+ 33435937046 -+ 39515212818 -+ 45594757684 -+ 51673635564 -+ 57752969604 -------------- - 303963552391 - diff --git a/src/projecteuler/073.py b/src/projecteuler/073.py deleted file mode 100644 index 4aeb7ab..0000000 --- a/src/projecteuler/073.py +++ /dev/null @@ -1,14 +0,0 @@ - -limit = 12000 - -fractions = set() - -for d in xrange(2, limit+1): - start_n = (d+3)/3 - end_n = d/2 - - for n in xrange(start_n, end_n+1): - fractions.add(float(n)/d) - -print len(fractions) - diff --git a/src/projecteuler/074.py b/src/projecteuler/074.py deleted file mode 100644 index adee894..0000000 --- a/src/projecteuler/074.py +++ /dev/null @@ -1,48 +0,0 @@ - -fac = [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] -numbers = [0]*10000000 - -numbers[0] = 1 -numbers[1] = 1 -numbers[2] = 1 -numbers[145] = 1 -numbers[40585] = 1 -numbers[169] = 3 -numbers[871] = 2 -numbers[872] = 2 -numbers[45361] = 2 -numbers[45362] = 2 -numbers[1454] = 3 -numbers[363601] = 3 - -def next(n): - x = 0 - while n > 0: - x += fac[n % 10] - n /= 10 - return x - -def count(n): - if numbers[n] != 0: - return - chain = [n] - x = next(n) - while x not in chain: - chain.append(x) - if numbers[x] != 0: - break - x = next(x) - last = numbers[chain[-1]] - l = len(chain) - for j in xrange(0, l-1): - c = chain[j] - numbers[c] = l - j - 1 + last - -c = 0 -for i in xrange(10, 1000000): - count(i) - if numbers[i] == 60: - c += 1 - -print c - diff --git a/src/projecteuler/075.py b/src/projecteuler/075.py deleted file mode 100644 index 58e9136..0000000 --- a/src/projecteuler/075.py +++ /dev/null @@ -1,29 +0,0 @@ -# generating Pythagorean triplets - -limit = 1500000 -limit_search = 900 -squares = [ x*x for x in xrange(limit) ] -triangles = [ set() for x in xrange(limit+1) ] - - -for m in xrange(1, limit_search): - for n in xrange(1, m): - (a,b,c) = (squares[m] - squares[n], 2*m*n, squares[m] + squares[n]) - if a > b: - (a,b,c) = (b,a,c) - - k = 1 - while True: - if k*(a+b+c) > limit: - break - triangles[k*a + k*b + k*c].add((k*a,k*b,k*c)) - k += 1 - - -count = 0 -for t in triangles: - if len(t) == 1: - count += 1 - -print count - diff --git a/src/projecteuler/080.py b/src/projecteuler/080.py deleted file mode 100644 index 9becd19..0000000 --- a/src/projecteuler/080.py +++ /dev/null @@ -1,55 +0,0 @@ - -# schriftliches wurzelziehen: http://www.diaware.de/html/wurzel.html - -def sqrt(x, accuracy): - a = [] # vor komma - b = [] # nach komma - - groups = [] - while x > 0: - groups.append(x % 100) - x /= 100 - groups = groups[::-1] - - result = 0 - remainder = 0 - while accuracy > 0: - group = 100 * remainder - if len(groups) > 0: - group += groups[0] - - subcount = 0 - sub = 20*result + 1 - while sub < group: - group -= sub - if group < 0: - break - subcount += 1 - sub += 2 - remainder = group - if subcount == 0: - remainder *= 100 - result *= 10 - result += subcount - - if len(groups) > 0: - a.append(subcount) - del groups[0] - else: - b.append(subcount) - accuracy -= 1 - - return (a, b) - -squares = set([ x*x for x in range(11) ]) - -digitsum = 0 - -for n in xrange(100): - if n in squares: - continue - s = sqrt(n, 100) - digitsum += sum(s[0]) + sum(s[1]) - -print digitsum - diff --git a/src/projecteuler/081.py b/src/projecteuler/081.py deleted file mode 100644 index c951abf..0000000 --- a/src/projecteuler/081.py +++ /dev/null @@ -1,71 +0,0 @@ - -# uses Dijkstra's algorithm to find minimal path - -infinity = 999999 - -matrix = [] - -width = 80 -height = 80 - -f = open('081.txt', 'r') -for line in f: - line.rstrip('\n') - line_str = line.split(',') - line_int = [ int(x) for x in line_str ] - matrix.append(line_int) -f.close() - - -# initialize -distance = [infinity] * (width*height) -pre = [None] * (width*height) -distance[0] = 0 -Q = range(width*height) - -def mindistance(Q): - mind = infinity - mini = -1 - for i in Q: - if distance[i] < mind: - mind = distance[i] - mini = i - return mini - -def neighbors(u): - n = [] - row = u / width - col = u % width - if col < width-1: - n.append(row*width + col + 1) # right neighbor - if row < height-1: - n.append((row+1)*width + col) # lower neighbor - return n - -def update(u, v): - alt = distance[u] + matrix[v/width][v%width] - if alt < distance[v]: - distance[v] = alt - pre[v] = u - -# main algorithm -while len(Q) > 0: - u = mindistance(Q) - Q.remove(u) - for v in neighbors(u): - if v in Q: - update(u, v) - -# search min distance -u = width*height-1 # target node -path = [ u ] -while pre[u] != None: - u = pre[u] - path = [u] + path - -minsum = 0 -for n in path: - minsum += matrix[n/width][n%width] - -print minsum - diff --git a/src/projecteuler/081.txt b/src/projecteuler/081.txt deleted file mode 100644 index 1e9e6cd..0000000 --- a/src/projecteuler/081.txt +++ /dev/null @@ -1,80 +0,0 @@ -4445,2697,5115,718,2209,2212,654,4348,3079,6821,7668,3276,8874,4190,3785,2752,9473,7817,9137,496,7338,3434,7152,4355,4552,7917,7827,2460,2350,691,3514,5880,3145,7633,7199,3783,5066,7487,3285,1084,8985,760,872,8609,8051,1134,9536,5750,9716,9371,7619,5617,275,9721,2997,2698,1887,8825,6372,3014,2113,7122,7050,6775,5948,2758,1219,3539,348,7989,2735,9862,1263,8089,6401,9462,3168,2758,3748,5870
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diff --git a/src/projecteuler/082.py b/src/projecteuler/082.py deleted file mode 100644 index b0fd92a..0000000 --- a/src/projecteuler/082.py +++ /dev/null @@ -1,85 +0,0 @@ - -# uses Dijkstra's algorithm to find minimal path -# (based on solution for problem 81) -# -# slow, but working - -infinity = 99999999 - -matrix = [] - -width = 80 -height = 80 - -f = open('082.txt', 'r') -for line in f: - line.rstrip('\n') - line_str = line.split(',') - line_int = [ int(x) for x in line_str ] - matrix.append(line_int) -f.close() - -globalmin = 500000 - -for currentrow in range(height): - - # initialize - distance = [infinity] * (width*height) - pre = [None] * (width*height) - distance[currentrow*width] = 0 # start node - Q = range(width*height) - - def mindistance(Q): - mini = Q[0] - mind = distance[mini] - for i in Q: - if distance[i] < mind: - mind = distance[i] - mini = i - return mini - - def neighbors(u): - n = [] - row = u / width - col = u % width - if col == 0: - return[u+1] - if col < width-1: - n.append(row*width + col + 1) # right neighbor - if row < height-1: - n.append((row+1)*width + col) # lower neighbor - if row > 0: - n.append((row-1)*width + col) # upper neighbor - return n - - def update(u, v): - alt = distance[u] + matrix[v/width][v%width] - if alt < distance[v]: - distance[v] = alt - pre[v] = u - - # main algorithm - while len(Q) > 0: - u = mindistance(Q) - Q.remove(u) - for v in neighbors(u): - if v in Q: - update(u, v) - - # search min distance - for targetrow in range(height): - u = targetrow*width-1 # target node - path = [ u ] - while pre[u] != None: - u = pre[u] - path = [u] + path - - minsum = 0 - for n in path: - minsum += matrix[n/width][n%width] - - if minsum < globalmin: - globalmin = minsum - -print globalmin - diff --git a/src/projecteuler/082.txt b/src/projecteuler/082.txt deleted file mode 100644 index 1e9e6cd..0000000 --- a/src/projecteuler/082.txt +++ /dev/null @@ -1,80 +0,0 @@ -4445,2697,5115,718,2209,2212,654,4348,3079,6821,7668,3276,8874,4190,3785,2752,9473,7817,9137,496,7338,3434,7152,4355,4552,7917,7827,2460,2350,691,3514,5880,3145,7633,7199,3783,5066,7487,3285,1084,8985,760,872,8609,8051,1134,9536,5750,9716,9371,7619,5617,275,9721,2997,2698,1887,8825,6372,3014,2113,7122,7050,6775,5948,2758,1219,3539,348,7989,2735,9862,1263,8089,6401,9462,3168,2758,3748,5870
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diff --git a/src/projecteuler/083.py b/src/projecteuler/083.py deleted file mode 100644 index f1620e5..0000000 --- a/src/projecteuler/083.py +++ /dev/null @@ -1,76 +0,0 @@ - -# uses Dijkstra's algorithm to find minimal path -# (based on solution for problem 81) - -infinity = 999999 - -matrix = [] - -width = 80 -height = 80 - -f = open('083.txt', 'r') -for line in f: - line.rstrip('\n') - line_str = line.split(',') - line_int = [ int(x) for x in line_str ] - matrix.append(line_int) -f.close() - - -# initialize -distance = [infinity] * (width*height) -pre = [None] * (width*height) -distance[0] = 0 -Q = range(width*height) - -def mindistance(Q): - mind = infinity - mini = -1 - for i in Q: - if distance[i] < mind: - mind = distance[i] - mini = i - return mini - -def neighbors(u): - n = [] - row = u / width - col = u % width - if col < width-1: - n.append(row*width + col + 1) # right neighbor - if row < height-1: - n.append((row+1)*width + col) # lower neighbor - if row > 0: - n.append((row-1)*width + col) # upper neighbor - if col > 0: - n.append(row*width + col - 1) # left neighbor - return n - -def update(u, v): - alt = distance[u] + matrix[v/width][v%width] - if alt < distance[v]: - distance[v] = alt - pre[v] = u - -# main algorithm -while len(Q) > 0: - u = mindistance(Q) - Q.remove(u) - for v in neighbors(u): - if v in Q: - update(u, v) - -# search min distance -u = width*height-1 # target node -path = [ u ] -while pre[u] != None: - u = pre[u] - path = [u] + path - -minsum = 0 -for n in path: - minsum += matrix[n/width][n%width] - -print minsum - diff --git a/src/projecteuler/083.txt b/src/projecteuler/083.txt deleted file mode 100644 index 1e9e6cd..0000000 --- a/src/projecteuler/083.txt +++ /dev/null @@ -1,80 +0,0 @@ -4445,2697,5115,718,2209,2212,654,4348,3079,6821,7668,3276,8874,4190,3785,2752,9473,7817,9137,496,7338,3434,7152,4355,4552,7917,7827,2460,2350,691,3514,5880,3145,7633,7199,3783,5066,7487,3285,1084,8985,760,872,8609,8051,1134,9536,5750,9716,9371,7619,5617,275,9721,2997,2698,1887,8825,6372,3014,2113,7122,7050,6775,5948,2758,1219,3539,348,7989,2735,9862,1263,8089,6401,9462,3168,2758,3748,5870
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diff --git a/src/projecteuler/087.c b/src/projecteuler/087.c deleted file mode 100644 index e1b1ad8..0000000 --- a/src/projecteuler/087.c +++ /dev/null @@ -1,42 +0,0 @@ -#include "common.h" -#include <stdlib.h> -#include <string.h> - -const unsigned long limit = 50000000; - -int main(void) -{ - unsigned long* p = primes(8000); - unsigned long count = p[0]; - unsigned long i2, i3, i4, counter; - char* numbers = malloc(limit*sizeof(char)); - memset(numbers, 0, limit); - - for(i2=1; i2<=count; i2++) - for(i3=1; i3<=count; i3++) - for(i4=1; i4<=count; i4++) - { - unsigned long p4 = p[i4]; - unsigned long p3 = p[i3]; - unsigned long p2 = p[i2]; - unsigned long long result = (unsigned long long)p4*p4*p4*p4; - if(result >= limit) break; - result += (unsigned long long)p3*p3*p3; - if(result >= limit) break; - result += (unsigned long long)p2*p2; - if(result >= limit) break; - - numbers[result] = 1; - } - - counter = 0; - for(i2=0; i2<limit; i2++) - if(numbers[i2] == 1) - counter++; - - printf("%li\n", counter); - - free(p); - return 0; -} - diff --git a/src/projecteuler/089.py b/src/projecteuler/089.py deleted file mode 100644 index f8d36be..0000000 --- a/src/projecteuler/089.py +++ /dev/null @@ -1,97 +0,0 @@ - -def value(x): - if x == 'I': - return 1 - elif x == 'V': - return 5 - elif x == 'X': - return 10 - elif x == 'L': - return 50 - elif x == 'C': - return 100 - elif x == 'D': - return 500 - elif x == 'M': - return 1000 - else: - print "Decoding error: " + x - return None - - -def decode_roman(n): - result = 0 - for i in xrange(len(n)-1): # search for subtractive pairs - cur = value(n[i]) - nxt = value(n[i+1]) - if cur < nxt: - result -= cur - else: - result += cur - - result += value(n[-1]) - return result - - -def minimal_roman(n): - result = "" - while n > 0: - if n - 1000 >= 0: - n -= 1000 - result += "M" - elif n - 900 >= 0: - n -= 900 - result += "CM" - elif n - 500 >= 0: - n -= 500 - result += "D" - elif n - 400 >= 0: - n -= 400 - result += "CD" - elif n - 100 >= 0: - n -= 100 - result += "C" - elif n - 90 >= 0: - n -= 90 - result += "XC" - elif n - 50 >= 0: - n -= 50 - result += "L" - elif n - 40 >= 0: - n -= 40 - result += "XL" - elif n - 10 >= 0: - n -= 10 - result += "X" - elif n - 9 >= 0: - n -= 9 - result += "IX" - elif n - 5 >= 0: - n -= 5 - result += "V" - elif n - 4 >= 0: - n -= 4 - result += "IV" - elif n - 1 >= 0: - n -= 1 - result += "I" - return result - - -numbers = [] - -f = open('089.txt', 'r') -for line in f: - line = line.rstrip('\r\n') - numbers.append(line) -f.close() - -saved = 0 - -for number in numbers: - n = decode_roman(number) - m = minimal_roman(n) - saved += len(number) - len(m) - -print saved - diff --git a/src/projecteuler/089.txt b/src/projecteuler/089.txt deleted file mode 100644 index 721ab99..0000000 --- a/src/projecteuler/089.txt +++ /dev/null @@ -1,1000 +0,0 @@ -MMMMDCLXXII
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\ No newline at end of file diff --git a/src/projecteuler/092.c b/src/projecteuler/092.c deleted file mode 100644 index 8616cf8..0000000 --- a/src/projecteuler/092.c +++ /dev/null @@ -1,45 +0,0 @@ - - -const int limit = 10000000; - -const int squares[10] = { 0, 1, 4, 9, 16, 25, 36, 49, 64, 81 }; - -int next_chain(int number) -{ - int sum = 0; - int digit; - while(number > 0) - { - digit = number % 10; - number = number / 10; - sum += squares[digit]; - } - return sum; -} - -int main() -{ - int* numbers = calloc(limit, sizeof(int)); - int i, count; - - for(i=0; i<limit; i++) - numbers[i] = next_chain(i); - - count = 0; - - for(i=1; i<limit; i++) - { - int next = numbers[i]; - while(next != 1 && next != 89) - next = numbers[next]; - - numbers[i] = next; - if(next == 89) - count++; - } - - printf("%d\n", count); - - return 0; -} - diff --git a/src/projecteuler/096.pl b/src/projecteuler/096.pl deleted file mode 100644 index 2658358..0000000 --- a/src/projecteuler/096.pl +++ /dev/null @@ -1,173 +0,0 @@ -#!/usr/bin//perl - -use strict; -use warnings; -use List::Util qw(any); - -sub remove_numbers { - my $numbers = shift; - my $to_rem = shift; - - foreach my $n (keys %$to_rem) { - delete $numbers->{$n}; - } -} - -sub numbers_in_row { - my $field = shift; - my $row = shift; - my $numbers = {}; - - for(my $i=0; $i<9; $i++) { - my $number = $field->[9*$row + $i]; - $numbers->{$number} = 1 if $number; - } - - return $numbers; -} - -sub numbers_in_col { - my $field = shift; - my $col = shift; - my $numbers = {}; - - for(my $i=0; $i<9; $i++) { - my $number = $field->[9*$i + $col]; - $numbers->{$number} = 1 if $number; - } - - return $numbers; -} - -sub numbers_in_block { - my $field = shift; - my $block = shift; - my $numbers = {}; - - my $blk_row = int($block / 3); - my $blk_col = $block % 3; - - for(my $row=0; $row<3; $row++) { - for (my $col=0; $col<3; $col++) { - my $number = $field->[9*(3*$blk_row + $row) + (3*$blk_col + $col)]; - $numbers->{$number} = 1 if $number; - } - } - - return $numbers; -} - -sub collect_numbers { - my $field = shift; - - my $row_n = []; - my $col_n = []; - my $blk_n = []; - - for(my $i=0; $i<9; $i++) { - $row_n->[$i] = numbers_in_row($field, $i); - } - for(my $i=0; $i<9; $i++) { - $col_n->[$i] = numbers_in_col($field, $i); - } - for(my $i=0; $i<9; $i++) { - $blk_n->[$i] = numbers_in_block($field, $i); - } - - return ($row_n, $col_n, $blk_n); -} - -sub print_field { - my $field = shift || return; - - for(my $i=0; $i<9; $i++) { - for(my $j=0; $j<9; $j++) { - print $field->[9*$i + $j] . " "; - } - print "\n"; - } - print "\n"; -} - -sub find_candidates { - my $field = shift; - my ($row_n, $col_n, $blk_n) = collect_numbers($field); - -restart: - my $candidates = {}; - for(my $row=0; $row<9; $row++) { - for(my $col=0; $col<9; $col++) { - next if $field->[9*$row + $col]; - - my $blk = 3*int($row / 3) + int($col / 3); - my %numbers = map { $_ => 1 } 1..9; - remove_numbers(\%numbers, $row_n->[$row]); - remove_numbers(\%numbers, $col_n->[$col]); - remove_numbers(\%numbers, $blk_n->[$blk]); - - if (scalar keys %numbers == 1) { - # there is only one possibility -> restart search with updated field - my $n = (keys %numbers)[0]; - $field->[9*$row + $col] = $n; - $row_n->[$row]->{$n} = 1; - $col_n->[$col]->{$n} = 1; - $blk_n->[$blk]->{$n} = 1; - goto restart; - } elsif (scalar keys %numbers > 1) { - $candidates->{9*$row + $col} = [ sort keys %numbers ]; - } else { - # no candidate possible on this position - return; - } - } - } - return $candidates; -} - -sub solve { - my @field = @_; - - my $candidates = find_candidates(\@field) || return; - - if (scalar keys %$candidates == 0) { - return \@field; - } - - my @field_copy = @field; - - # iterate remaining positions with multiple possibilities - foreach my $pos (sort { scalar @{$candidates->{$a}} <=> scalar @{$candidates->{$b}} } keys %$candidates) { - @field = @field_copy; - foreach my $cand (@{$candidates->{$pos}}) { - @field[$pos] = $cand; - my $solved_field = solve(@field); - return $solved_field if $solved_field; - } - return; - } -} - -sub main { - my $content; - open FILE, "<096.txt" or die "Can't open file: $!\n"; - while(<FILE>) { - $content .= $_; - } - close FILE; - - my @sudokus = split('\n?Grid [0-9]+\n', $content); - shift @sudokus; # remove empty first element - - my $sum = 0; - - foreach my $sudoku (@sudokus) { - my @field = split("\n?", $sudoku); - my $solution = solve(@field); - $sum += 100*$solution->[0] + 10*$solution->[1] + 1*$solution->[2] . "\n"; - } - - print $sum . "\n"; -} - -main(); - diff --git a/src/projecteuler/096.txt b/src/projecteuler/096.txt deleted file mode 100644 index be23f6a..0000000 --- a/src/projecteuler/096.txt +++ /dev/null @@ -1,500 +0,0 @@ -Grid 01 -003020600 -900305001 -001806400 -008102900 -700000008 -006708200 -002609500 -800203009 -005010300 -Grid 02 -200080300 -060070084 -030500209 -000105408 -000000000 -402706000 -301007040 -720040060 -004010003 -Grid 03 -000000907 -000420180 -000705026 -100904000 -050000040 -000507009 -920108000 -034059000 -507000000 -Grid 04 -030050040 -008010500 -460000012 -070502080 -000603000 -040109030 -250000098 -001020600 -080060020 -Grid 05 -020810740 -700003100 -090002805 -009040087 -400208003 -160030200 -302700060 -005600008 -076051090 -Grid 06 -100920000 -524010000 -000000070 -050008102 -000000000 -402700090 -060000000 -000030945 -000071006 -Grid 07 -043080250 -600000000 -000001094 -900004070 -000608000 -010200003 -820500000 -000000005 -034090710 -Grid 08 -480006902 -002008001 -900370060 -840010200 -003704100 -001060049 -020085007 -700900600 -609200018 -Grid 09 -000900002 -050123400 -030000160 -908000000 -070000090 -000000205 -091000050 -007439020 -400007000 -Grid 10 -001900003 -900700160 -030005007 -050000009 -004302600 -200000070 -600100030 -042007006 -500006800 -Grid 11 -000125400 -008400000 -420800000 -030000095 -060902010 -510000060 -000003049 -000007200 -001298000 -Grid 12 -062340750 -100005600 -570000040 -000094800 -400000006 -005830000 -030000091 -006400007 -059083260 -Grid 13 -300000000 -005009000 -200504000 -020000700 -160000058 -704310600 -000890100 -000067080 -000005437 -Grid 14 -630000000 -000500008 -005674000 -000020000 -003401020 -000000345 -000007004 -080300902 -947100080 -Grid 15 -000020040 -008035000 -000070602 -031046970 -200000000 -000501203 -049000730 -000000010 -800004000 -Grid 16 -361025900 -080960010 -400000057 -008000471 -000603000 -259000800 -740000005 -020018060 -005470329 -Grid 17 -050807020 -600010090 -702540006 -070020301 -504000908 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\ No newline at end of file diff --git a/src/projecteuler/097.py b/src/projecteuler/097.py deleted file mode 100644 index ec263b0..0000000 --- a/src/projecteuler/097.py +++ /dev/null @@ -1 +0,0 @@ -print (28433*(1<<7830457)+1) % 10**10 diff --git a/src/projecteuler/098.py b/src/projecteuler/098.py deleted file mode 100644 index 452e15e..0000000 --- a/src/projecteuler/098.py +++ /dev/null @@ -1,77 +0,0 @@ -from math import sqrt, ceil - -# is x anagram of y? -def anagram(x, y): - x2 = [c for c in x] - y2 = [c for c in y] - x2.sort() - y2.sort() - return x2 == y2 - - -# returns replacement list -def replacement(word, number): - digits = [False] * 10 - for char in word[::-1]: - digit = number % 10 - number /= 10 - - if char in digits and digits[digit] != char: - return None - - if digits[digit] == False: - digits[digit] = char - elif digits[digit] != char: - return None - return digits - - -# find numbers matching the specified word in descending order -def match(word, numbers): - result = [] - for n in numbers: - digits = replacement(word, n) - if digits != None: - result.append(n) - - result.sort(reverse=True) - return result - - -f = open('098.txt', 'r') -words = f.read() -f.close() - -maxlen = 14 - -words = set([ w.strip('"') for w in words.split(',') ]) -squares = [ [ x*x for x in xrange(int(ceil(sqrt(10**n)))-1, int(ceil(sqrt(10**(n-1))))-1, -1) ] for n in xrange(1, maxlen+1) ] - -maxsquare = 0 - -for l in xrange(1, maxlen+1): - cur = [ w for w in words if len(w) == l ] - - for word1 in cur: - for word2 in cur: - if word1 == word2 or word1 == word2[::-1] or not anagram(word1, word2): - continue - - m1 = match(word1, squares[l-1]) - m2 = match(word2, squares[l-1]) - - # compare result lists - for n1 in m1: - found = False - for n2 in m2: - if replacement(word1, n1) == replacement(word2, n2): - #print word1, word2, n1, n2 - if n1 > maxsquare: - maxsquare = n1 - found = True - break - if found: - break - -print maxsquare - diff --git a/src/projecteuler/098.txt b/src/projecteuler/098.txt deleted file mode 100644 index 7177624..0000000 --- a/src/projecteuler/098.txt +++ /dev/null @@ -1 +0,0 @@ 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\ No newline at end of file diff --git a/src/projecteuler/099.py b/src/projecteuler/099.py deleted file mode 100644 index bc72d07..0000000 --- a/src/projecteuler/099.py +++ /dev/null @@ -1,21 +0,0 @@ -import math - -numbers = [] - -f = open('099.txt', 'r') -for line in f: - line.rstrip('\n') - l = [int(x) for x in line.split(',')] - numbers.append(l[1] * math.log(l[0])) # log(x^r) = r*log(x) -f.close() - -maxline = 0 -maxn = 0 - -for n in xrange(0, len(numbers)-1): - if numbers[n] > maxn: - maxn = numbers[n] - maxline = n - -print maxline+1 - diff --git a/src/projecteuler/099.txt b/src/projecteuler/099.txt deleted file mode 100644 index 92201db..0000000 --- a/src/projecteuler/099.txt +++ /dev/null @@ -1,1000 +0,0 @@ -519432,525806
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\ No newline at end of file diff --git a/src/projecteuler/102.py b/src/projecteuler/102.py deleted file mode 100644 index a2108f6..0000000 --- a/src/projecteuler/102.py +++ /dev/null @@ -1,43 +0,0 @@ - -# check if r*(AC) + s*(AB) == P - -def point_in_triangle((x_a, y_a), (x_b, y_b), (x_c, y_c), (x_p, y_p)): - t = x_c - x_a - u = x_b - x_a - v = y_c - y_a - w = y_b - y_a - - # Cramer's rule - detA = t*w - u*v - detR = x_p*w - u*y_p - detS = t*y_p - x_p*v - - if detA == 0: - print "Not solvable" - - r = detR / float(detA) - s = detS / float(detA) - - return 0 <= r <= 1 and 0 <= s <= 1 and r + s < 1 - - -count = 0 - -f = open('102.txt', 'r') -for line in f: - line = line.rstrip('\r\n') - coords = [ int(x) for x in line.split(',') ] - - # move one point to origin, adjust other points - (a1, a2) = (coords[0], coords[1]) - A = (0, 0) - B = (coords[2]-a1, coords[3]-a2) - C = (coords[4]-a1, coords[5]-a2) - P = (-a1, -a2) - - if point_in_triangle(A, B, C, P): - count += 1 -f.close() - -print count - diff --git a/src/projecteuler/102.txt b/src/projecteuler/102.txt deleted file mode 100644 index d43312a..0000000 --- a/src/projecteuler/102.txt +++ /dev/null @@ -1,1000 +0,0 @@ --340,495,-153,-910,835,-947
--175,41,-421,-714,574,-645
--547,712,-352,579,951,-786
-419,-864,-83,650,-399,171
--429,-89,-357,-930,296,-29
--734,-702,823,-745,-684,-62
--971,762,925,-776,-663,-157
-162,570,628,485,-807,-896
-641,91,-65,700,887,759
-215,-496,46,-931,422,-30
--119,359,668,-609,-358,-494
-440,929,968,214,760,-857
--700,785,838,29,-216,411
--770,-458,-325,-53,-505,633
--752,-805,349,776,-799,687
-323,5,561,-36,919,-560
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--501,-851,870,563,290,570
--279,-829,-509,397,457,816
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-137,-508,66,-695,78,169
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--667,-363,-571,818,-265,-399
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--176,-802,-858,-9,780,275
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--871,65,-799,836,179,-720
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--103,-677,-259,-731,-281,-857
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-971,626,-496,-781,-602,-239
--651,433,11,-339,939,294
--965,-728,560,569,-708,-247
diff --git a/src/projecteuler/112.c b/src/projecteuler/112.c deleted file mode 100644 index bb808be..0000000 --- a/src/projecteuler/112.c +++ /dev/null @@ -1,45 +0,0 @@ - -int isbouncy(unsigned long n) -{ - char increasing=1, decreasing=1; - char lastdigit = n % 10; - n /= 10; - - while(n > 0) - { - char digit = n % 10; - if(digit > lastdigit) - increasing = 0; - else if(digit < lastdigit) - decreasing = 0; - - if(increasing == 0 && decreasing == 0) - return 1; - - lastdigit = digit; - n /= 10; - } - return 0; -} - -int main(void) -{ - unsigned long n = 100; - unsigned long bouncycount = 0; - double ratio; - - while(1) - { - if(isbouncy(++n)) - bouncycount++; - - ratio = (double)bouncycount/n; - if(ratio == 0.99) - break; - - } - printf("%ld\n", n); - - return 0; -} - diff --git a/src/projecteuler/124.py b/src/projecteuler/124.py deleted file mode 100644 index 19486d6..0000000 --- a/src/projecteuler/124.py +++ /dev/null @@ -1,31 +0,0 @@ -from operator import itemgetter -from common import sieve - -limit = 100000 - -primes = sieve(limit).primes() -prime_list = list(primes) -prime_list.sort() - -def rad(n): - result = 1 - if n in primes: - return n - - for p in prime_list: - if result*p > n: - break - if n % p == 0: - result *= p - return result - - - -radlist = [] - -for n in xrange(1, limit+1): - radlist.append((n, rad(n))) - -radlist.sort(key=itemgetter(1)) -print radlist[10000-1][0] - diff --git a/src/projecteuler/125.py b/src/projecteuler/125.py deleted file mode 100644 index 35dae6b..0000000 --- a/src/projecteuler/125.py +++ /dev/null @@ -1,22 +0,0 @@ - -limit = 10**8 - -squares = [ x*x for x in xrange(1, 7200) ] - -def is_palindrome(n): - nstr = str(n) - return nstr == nstr[::-1] - - -palindromes = set() - -for i in xrange(len(squares)-1): # iterate over all starting positions - for j in xrange(2, len(squares)): # iterate over all possible lengths - sqrsum = sum(squares[i:i+j]) - if sqrsum >= limit: - break - if is_palindrome(sqrsum): - palindromes.add(sqrsum) - -print sum(palindromes) - diff --git a/src/projecteuler/134.c b/src/projecteuler/134.c deleted file mode 100644 index 3f6ea32..0000000 --- a/src/projecteuler/134.c +++ /dev/null @@ -1,59 +0,0 @@ -#include "common.h" -#include <stdlib.h> - -// TODO: improve performance! not yet working on 32 bit systems - -unsigned int getmod(unsigned long p1) -{ - unsigned int mod = 1; - - if(p1 < 10) - mod = 10; - else if(p1 < 100) - mod = 100; - else if(p1 < 1000) - mod = 1000; - else if(p1 < 10000) - mod = 10000; - else if(p1 < 100000) - mod = 100000; - else if(p1 < 1000000) - mod = 1000000; - else - mod = 0; // should not occur and therefore result in division by zero - - return mod; -} - -unsigned long findn(unsigned long p1, unsigned long p2) -{ - unsigned int mod = getmod(p1); - unsigned long n = mod + p1; - while(n % p2 != 0) - n += mod; - - return n; -} - -int main(void) -{ - unsigned long* p = primes(1000020); - unsigned long pcount = p[0]; - unsigned long p1, p2, pos; - unsigned long long result = 0; - - for(pos=3; p[pos]<=1000000; pos++) - { - p1 = p[pos]; - p2 = p[pos+1]; - if(pos%1000==0) - printf("p1: %li\n", p1); - result += findn(p1, p2); - } - - printf("%li\n", result); - - free(p); - return 0; -} - diff --git a/src/projecteuler/187.c b/src/projecteuler/187.c deleted file mode 100644 index 4bee151..0000000 --- a/src/projecteuler/187.c +++ /dev/null @@ -1,28 +0,0 @@ -#include "common.h" -#include <stdlib.h> -#include <string.h> - -const unsigned long limit = 100000000; - -int main(void) -{ - unsigned long* p = primes(limit/2); // sqrt(limit) - unsigned long pcount = p[0]; - unsigned long rcount = 0; - unsigned long i1, i2; - - for(i1=1; i1<=pcount; i1++) - for(i2=i1; i2<=pcount; i2++) - { - unsigned long long result = (unsigned long long) p[i1] * p[i2]; - if(result >= limit) - break; - rcount++; - } - - printf("%li\n", rcount); - - free(p); - return 0; -} - diff --git a/src/projecteuler/206.py b/src/projecteuler/206.py deleted file mode 100644 index b3eddf4..0000000 --- a/src/projecteuler/206.py +++ /dev/null @@ -1,24 +0,0 @@ - -positions = (2,4,6,8,10,12,14) -result = "1_2_3_4_5_6_7_8_9_0" - -number = 1000000030 -state = True - -while number <= 3162277630: - number += 40 if state else 60 - state = not state - - found = True - - square = str(number**2) - for i in positions: - if square[i] != result[i]: - found = False - break - - if found: - break - -print number - diff --git a/src/projecteuler/common.c b/src/projecteuler/common.c deleted file mode 100644 index 69f87c5..0000000 --- a/src/projecteuler/common.c +++ /dev/null @@ -1,154 +0,0 @@ -#include <stdlib.h> -#include <string.h> - -// returns list of primes up to limit; count stored in first element -extern unsigned long* primes(unsigned long limit) -{ - unsigned long i = 2; // start sieving with 2 - unsigned long pos, x; - char* numbers = (char*) malloc(limit*sizeof(char)); - unsigned long* primes; - unsigned long primecount = 0; - memset(numbers, 1, limit); - numbers[0] = 0; - - while(i*i <= limit) - { - // sieve current prime - x = i*i; - while(x <= limit) - { - numbers[x-1] = 0; - x += i; - } - - // search next prime - pos = i; - while(++pos <= limit) - { - if(numbers[pos-1] == 1) - break; - } - i = pos; - } - - // count primes - pos = 0; - while(++pos <= limit) - { - if(numbers[pos-1] == 1) - primecount++; - } - - // create list of primes - primes = (unsigned long*) malloc((primecount+1)*sizeof(unsigned long)); // store count at first element - primes[0] = primecount; - pos = 0; - x = 1; - while(++pos <= limit) - { - if(numbers[pos-1] == 1) - primes[x++] = pos; - } - - free(numbers); - return primes; -} - -extern int isprime(unsigned long number, const unsigned long* primes) -{ - unsigned long count = primes[0]; - unsigned long pos = count/2 + 1; - unsigned long dist = pos/2 + 1; - unsigned long minpos = 0, maxpos = count; - - if(number > primes[count] || number < 2) - return 0; - - // some kind of binary search... - while(1) - { - if(number > primes[pos]) - { - minpos = pos; - pos += dist; - } - else if(number < primes[pos]) - { - maxpos = pos; - pos -= dist; - } - else - return 1; - - dist /= 2; - - if(dist == 1) - { - while(++minpos <= maxpos) - if(primes[minpos] == number) - return 1; - break; - } - } - - return 0; -} - -extern unsigned long phi(unsigned long n, unsigned long* primelist) -{ - double product = (double) n; - unsigned long i; - - //if(isprime(n, primelist)) - // return n-1; - - for(i=1; i<=primelist[0]; i++) - { - unsigned long p = primelist[i]; - if(p > n) - break; - if(n % p != 0) - continue; - product *= (1 - 1.0/p); - } - return (unsigned long) product; -} - -extern int ispermutation(unsigned long a, unsigned long b) -{ - char digits1[10]; - char digits2[10]; - memset(digits1, 0, 10); - memset(digits2, 0, 10); - - while(a > 0 && b > 0) - { - char d1 = a % 10; - char d2 = b % 10; - digits1[d1]++; - digits2[d2]++; - a /= 10; - b /= 10; - } - - if(a > 0 || b > 0) - return 0; - - if(memcmp(digits1, digits2, 10) == 0) - return 1; - - return 0; -} - -/*int main() -{ - long* p = primes(10000); - //printf("%i\n", isprime(9973, p)); - int i; - for(i=0; i<p[0]; i++) - printf("%d: %d\n", p[i+1], isprime(p[i+1], p)); - free(p); - return 0; -}*/ - diff --git a/src/projecteuler/common.h b/src/projecteuler/common.h deleted file mode 100644 index 10b298e..0000000 --- a/src/projecteuler/common.h +++ /dev/null @@ -1,9 +0,0 @@ -#ifndef COMMON_H -#define COMMON_H - -unsigned long* primes(unsigned long limit); -int isprime(unsigned long number, const unsigned long* primes); -unsigned long phi(unsigned long n, unsigned long* primelist); -int ispermutation(unsigned long a, unsigned long b); - -#endif // COMMON_H diff --git a/src/projecteuler/common.py b/src/projecteuler/common.py deleted file mode 100644 index 9ca2d9b..0000000 --- a/src/projecteuler/common.py +++ /dev/null @@ -1,145 +0,0 @@ -import math - -class sieve: - def __init__(self, limit): - self.limit = limit - self.number_list = [False] + [True]*(self.limit-1) - self.list_len = len(self.number_list) - - def next_prime(self, i): - x = i+1 - while(x <= self.list_len): - if self.number_list[x-1] == True: - break - x += 1 - return x - - def primes(self): - i = 2 - while(i*i <= self.list_len): - x = i*i - while(x <= self.list_len): - self.number_list[x-1] = False - x += i - i = self.next_prime(i) - - primeset = set() - for i in xrange(1, self.limit+1): - if self.number_list[i-1]: - primeset.add(i) - return primeset - -class pandigital: - # create n-digit pandigital numbers - def __init__(self, start, end): - self.digits = set() - for d in range(start, end+1): - self.digits.add(d) - - # return set of digits that are not in x - def missing(self, x): - d = set() - while x > 0: - d.add(x % 10) - x /= 10 - return self.digits - d - - def numbers(self, r): - result = set() - result |= self.digits - for i in range(2, r): - new = set() - for x in result: - for y in self.missing(x): - new.add(x*10 + y) - result |= new - return result - -def ggt(a, b): # Stein's algorithm - k = 0 - t = 0 - while a&1==0 and b&1==0: - a = a>>1 - b = b>>1 - k += 1 - if a&1==1: - t = -b - else: - t = a - while t != 0: - while t&1==0: - t = t>>1 - if t>0: - a = t - else: - b = -t - t = a - b - return a*(1<<k) - -def composite(n): # check if n = c^b - primes = sieve(int(math.sqrt(n))+1).primes() - for c in primes: - number = c - while number < n: - number *= c - if number == n: - return True - return False - -def order(n, r): - res = n % r - k = 1 - while res != 1: - res = (res * n) % r - k += 1 - return k - -def phi(x): - primes = sieve(x+1).primes() - product = x - for p in primes: - if x % p != 0: - continue - product *= (1 - 1.0/p) - return int(product) - - -def prime_test(n): # aks test - if composite(n): - return False - - logn = math.log(n, 2) - o = 0 - r = 0 - while o <= logn: - r += 1 - o = order(n, r) - - a = 1 - while a <= r: - g = ggt(a, n) - if g < n and g > 1: - return False - a += 1 - - if n <= r*r: - return True - - #for a in xrange(1, math.floor(math.sqrt(phi(r))*logn)): - # # TODO if math.pow(x+a, n) != - - return True - -def permutation(p, q): # checks whether p is a permuation of q - digits_p = [0]*10 - digits_q = [0]*10 - while p > 0: - digit = p % 10 - digits_p[digit] += 1 - p /= 10 - while q > 0: - digit = q % 10 - digits_q[digit] += 1 - q /= 10 - return digits_p == digits_q - |