-
Notifications
You must be signed in to change notification settings - Fork 0
/
euler1_10.py
133 lines (116 loc) · 3.54 KB
/
euler1_10.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
import utils
import math
def prob1():
limit = 1000
return sum([i for i in range(limit) if i % 3 == 0 or i % 5 == 0])
def prob2():
limit = 4000000
s = 0
a = 1
b = 1
c = a + b
while c < limit:
s += c
a = b + c
b = c + a
c = a + b
return s
def prob3():
return utils.primeFactors(600851475143)[-1::]
def prob4():
def isPal(n):
s = str(n)
return s[::-1] == s
maxPal = 0
for i in range(100,1000):
for j in range(i,1000):
res = i * j
if isPal(res) and res > maxPal:
maxPal = res
return maxPal
def prob5():
k = 20 #limit
N = 1 #product
i = 0
check = True
limit = math.sqrt(k)
p = utils.genPrimes(k)
for prime in p:
a_i = 1
if check:
if prime <= limit:
a_i = math.floor(math.log(k) / math.log(prime))
else: # at this point, we know we must mutiply all primes
check = False
N *= prime ** a_i
return N
def prob6():
value = 100
sumOfSquares = (value * (value + 1) * (2 * value + 1)) / 6
sumSquared = ((value * (value + 1)) / 2) ** 2
print("sum of squares",sumOfSquares)
print("sum squared",sumSquared)
return sumSquared - sumOfSquares
def prob7():
target = 10001
primeCount = 0
i = 0
while primeCount < target:
if utils.isPrime(i):
primeCount += 1
i += 1
return i - 1
def prob8():
n = """73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
""".replace('\n','')
print(int(n))
def prob9():
#bruteforce ftw
for a in range(1, 1000):
for b in range(a, 1000):
for c in range(b, 1000):
if a ** 2 + b ** 2 == c ** 2 and a + b + c == 1000:
return a * b * c
return -1
def launch():
import time
start = time.time()
print("prob 1",prob1())
print("Time taken for prob 1",time.time() - start)
start = time.time()
print("prob 2",prob2())
print("Time taken for prob 2",time.time() - start)
start = time.time()
print("prob 3",prob3())
print("Time taken for prob 3",time.time() - start)
start = time.time()
print("prob 4",prob4())
print("Time taken for prob 4",time.time() - start)
start = time.time()
print("prob 5",prob5())
print("Time taken for prob 5",time.time() - start)
start = time.time()
print("prob 6",prob6())
print("Time taken for prob 6",time.time() - start)
start = time.time()
print("prob 9",prob9())
print("Time taken for prob 9",time.time() - start)