Created
November 22, 2014 11:04
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Calculate Primes & Tile filling
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import sys | |
import string | |
import fileinput | |
import pprint | |
inputs = fileinput.input() | |
# def calc_prime(N): | |
vals = [int(N.replace('\n', '')) for N in inputs] | |
vals = vals[1:] | |
size = max(vals) | |
# DP_table = [ for j in range(2)] | |
brick_arrangement_count = [0 for i in range(size + 1)] | |
for i in range(size+1): | |
if 4 > i >= 0: | |
brick_arrangement_count[i] = 1 | |
else: | |
brick_arrangement_count[i] = brick_arrangement_count[i-1] + brick_arrangement_count[i-4] | |
# primes_less_than = [0 for i in range(brick_arrangement_count[size] + 1)] | |
# primes = [] | |
# print brick_arrangement_count | |
def get_primes(N): | |
primes = [1 for i in range(0, N+1)] | |
for i in range(0, N): | |
if i < 2: | |
primes[i] = 0 | |
if primes[i] == 1: | |
end = N / i | |
for j in range(2, end+1): | |
primes[j * i] = 0 | |
count_primes = [0 for i in range(0,N+1)] | |
for i in range(0, N+1): | |
if primes[i]: | |
count_primes[i] = count_primes[i-1] + 1 | |
else: | |
count_primes[i] = count_primes[i-1] | |
return count_primes | |
count_primes = get_primes(brick_arrangement_count[size]) | |
# for i in range(brick_arrangement_count[size]+1): | |
# if i < 2: | |
# primes_less_than[i] = 0 | |
# continue | |
# prime = True | |
# for j in primes: | |
# if i % j == 0: | |
# prime = False | |
# if prime: | |
# primes.append(i) | |
# primes_less_than[i] = primes_less_than[i-1] + 1 | |
# else: | |
# primes_less_than[i] = primes_less_than[i-1] | |
# print primes_less_than | |
# print brick_arrangement_count | |
for val in vals: | |
# print brick_arrangement_count[val] | |
print count_primes[brick_arrangement_count[val]] |
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