anirudhjayaraman

# Rock-paper-scissors-lizard-Spock template


# The key idea of this program is to equate the strings
# "rock", "paper", "scissors", "lizard", "Spock" to numbers
# as follows:
#
# 0 - rock
# 1 - Spock
# 2 - paper

anirudhjayaraman

# Guess the Number by Anirudh Jayaraman
# dated Thu Jun 11 11:54 PM IST

# import all functionalities from the modules mentioned below
from simplegui import *
from math import *
from random import *

# helper function to start and restart the game
def new_game(num_range = 100):

anirudhjayaraman

# "Stopwatch: The Game" created by Anirudh Jayaraman
# dated Wed Jun 17, 2015 12:18 PM IST 
import simplegui

# define global variables
canvas_width = 850; canvas_height = 300; button_size = 100
timer_interval = 100; current_time = 0; played = 0; won = 0
running = False
rules_first_line = "Number of successful stops at a whole second" 
rules_second_line = "versus the total number of stops"

anirudhjayaraman

# Implementation of classic arcade game Pong by Anirudh Jayaraman
# coded on 24 June 2015 10:20 PM

from simplegui import *
from random import *

# initialize globals - pos and vel encode vertical info for paddles
WIDTH = 600
HEIGHT = 400       
BALL_RADIUS = 20

anirudhjayaraman

# import numpy module for matrix operations
from numpy import *

# read the file with the matrix of numbers
filename = 'euler11.txt'

# store each line of the file into an array
with open(filename, "r") as ins:
    array = []
    for line in ins:

anirudhjayaraman

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

anirudhjayaraman

# Question: Which prime, below one-million, can be written as the sum of the most consecutive primes
from primesieve import *
from math import *

# Generate list of primes under a million
primes_under_million = generate_primes(10**6)

# Sum of consecutive primes is of order 0.5(n^2)(logn)
# Calculate 'n' so that sum of consecutive primes is less than a million (and not necessarily prime)
nsum = 1

anirudhjayaraman

# 28 is the first triangle number to have over five divisors.
# What is the value of the first triangle number to have over five hundred divisors?

from math import *

# Function to calculate divisors
def divisors(n):
    limit = int(sqrt(n))
    divisors_list = []
    for i in range(1, limit+1, 1):

anirudhjayaraman

from math import *

# Function to calculate the number of divisors of integer n
def divisors(n):
    limit = int(sqrt(n))
    divisors_list = []
    for i in range(1, limit+1, 1):
        if n % i == 0:
            divisors_list.append(i)
            if i != n/i:

anirudhjayaraman

# First Step
# First number 'check' to have 500 divisors
check = 2**4 * 3**4 * 5**4 * 7 * 11

# Second Step
# Starting from 'check', iterate sequentially checking for the next 'triangle' number
while not isTriangleNumber(check):
    check += 1

# Third and Fourth Steps