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https://www.reddit.com/r/dailyprogrammer/comments/3c9a9h/
[2015-07-06] Challenge #222 [Easy] Balancing Words
# Description
Today we're going to balance words on one of the letters in them. We'll use the position and letter itself to calculate the weight around the balance point. A word can be balanced if the weight on either side of the balance point is equal. Not all words can be balanced, but those that can are interesting for this challenge.
The formula to calculate the weight of the word is to look at the letter position in the English alphabet (so A=1, B=2, C=3 ... Z=26) as the letter weight, then multiply that by the distance from the balance point, so the first letter away is multiplied by 1, the second away by 2, etc.
As an example:
STEAD balances at T: 1 * S(19) = 1 * E(5) + 2 * A(1) + 3 * D(4))
# Input Description
You'll be given a series of English words. Example:
STEAD
# Output Description
Your program or function should emit the words split by their balance point and the weight on either side of the balance point. Example:
S T EAD - 19
This indicates that the T is the balance point and that the weight on either side is 19.
# Challenge Input
CONSUBSTANTIATION
WRONGHEADED
UNINTELLIGIBILITY
# Challenge Output
CONSUBST A NTIATION - 1608
WRONGHEADED DOES NOT BALANCE
UNINTELL I GIBILITY - 1673
# Notes
This was found on a [word games page](http://www.questrel.com/records.html) suggested by /u/cDull, thanks! If you have your own idea for a challenge, submit it to /r/DailyProgrammer_Ideas, and there's a good chance we'll post it.

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WORDS = ['STEAD','CONSUBSTANTIATION','WRONGHEADED','UNINTELLIGIBILITY']
def get_weight(character, distance):
return (ord(character.lower()) - 96) * distance
def try_balancing(word, pivot):
left = word[:pivot]
wleft = sum(get_weight(left[x], len(left)-x) for x in range(len(left)))
right = word[pivot+1:]
wright = sum(get_weight(right[x], x+1) for x in range(len(right)))
if wright == wleft:
print '%s %s %s - %d' % (left, word[pivot], right, wleft)
for word in WORDS:
for x in range(len(word)):
try_balancing(word, x)

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Datapoint
=========
Plotting points like an idiot.

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Datapoint/datapoint.py
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import time
import tkinter
class DataPoint:
def __init__(self, width=720, height=480):
self.windowtitle = 'DataPoint'
def __init__(self, width=720, height=480, autostart=False):
self.windowtitle = 'DataPoint'
self.t = tkinter.Tk()
self.t.title(self.windowtitle)
self.w = width
self.h = height
self.screenwidth = self.t.winfo_screenwidth()
self.screenheight = self.t.winfo_screenheight()
self.windowwidth = self.w
self.windowheight = self.h
self.windowx = (self.screenwidth-self.windowwidth) / 2
self.windowy = ((self.screenheight-self.windowheight) / 2) - 27
self.geometrystring = '%dx%d+%d+%d' % (self.windowwidth, self.windowheight, self.windowx, self.windowy)
self.t.geometry(self.geometrystring)
self.color_outbound = '#999'
self.color_crossbar = '#bbb'
self.color_point = '#000'
self.crossbar_count = 10
self.point_diameter = 4
self.margin = 0.10
self.origin = (0, 0)
self.reset_attributes()
self._started = False
self.t = tkinter.Tk()
self.t.title(self.windowtitle)
self.w = width
self.h = height
self.windowx = (self.screen_width-self.w) / 2
self.windowy = ((self.screen_height-self.h) / 2) - 27
self.geometrystring = '%dx%d+%d+%d' % (self.w, self.h,
self.windowx, self.windowy)
self.t.geometry(self.geometrystring)
self.margin = 0.10
self.c = tkinter.Canvas(self.t)
self.c.pack(fill='both', expand=True)
self.countdown = -1
self.lastbump = 0
self.t.configure(bg='#f00')
self.t.bind('<Configure>', self.movereplot)
self.c = tkinter.Canvas(self.t)
self.c.pack(fill='both', expand=True)
self.c.bind('<Motion>', self.draw_coordinateslabel)
self.reset()
self.previous_w = self.w
self.previous_h = self.h
self.clear_screen()
self.draw_margin()
self._started = autostart
self.clear()
@property
def screen_width(self):
return self.t.winfo_screenwidth()
def mainloop(self):
self.t.mainloop()
@property
def screen_height(self):
return self.t.winfo_screenheight()
def reset_attributes(self):
'''
Set the DataPoint's grid attributes back to None
so that they will be recalculated during the next plot
'''
self.lowestx = None
self.highestx = None
self.lowesty = None
self.highesty = None
self.spanx = None
self.spany = None
self.marginx = None
self.marginy = None
self.drawablew = None
self.drawableh = None
@property
def window_width(self):
if not self._started:
return self.w
return self.t.winfo_width()
def clear(self):
self.c.delete('all')
@property
def window_height(self):
if not self._started:
return self.h
return self.t.winfo_height()
def meow(self):
return 'meow.'
def mainloop(self):
self._started = True
self.t.mainloop()
def function(self, x):
x -= 50
x *= 0.1
y = 1 / (1 + (2.718 ** -x))
return y
def movereplot(self, *b):
'''
When the user expands the window, replot the graph after a
short delay.
'''
previous = (self.previous_w, self.previous_h)
current = (self.window_width, self.window_height)
now = time.time()
if now - self.lastbump < 0.2:
# Go away.
return
if previous != current:
# Set.
self.previous_w = current[0]
self.previous_h = current[1]
self.countdown = 1
self.lastbump = now
self.t.after(500, self.movereplot)
return
if self.countdown > -1:
# Count.
self.countdown -= 1
self.lastbump = now
self.t.after(500, self.movereplot)
if self.countdown == 0:
# Plot.
self.plotpoints([])
return
def verifypoints(self, points):
for item in points:
if len(item) != 2:
raise Exception('%s Incorrect number of values for coordinate. Use help(plotpoints)' % str(item))
for subitem in item:
try:
int(subitem)
except ValueError as e:
if not e.args:
e.args = ('',)
e.args += ('Invalid format. Use help(plotpoints',)
raise
def reset(self):
'''
Set the DataPoint's grid attributes back to None.
'''
self.POINTS = set()
self.lowest_x = None
self.highest_x = None
self.lowest_y = None
self.highest_y = None
self.span_x = None
self.span_y = None
self.drawable_w = None
self.drawable_h = None
self.margin_x = self.window_width * self.margin
self.margin_y = self.window_height * self.margin
self.clear_screen()
self.draw_margin()
def plotpoints(self, points, pointdiameter=4, fill='#000'):
'''
Plot points onto the canvas
var points = list, where each element is a 2-length list, where [0] is x and [1] is y coordinate
var pointdiameter = int for how wide the plotted point should be, in pixels
'''
self.verifypoints(points)
def meow(self):
return 'meow.'
if self.lowestx is None:
xs = [point[0] for point in points]
ys = [point[1] for point in points]
self.lowestx = min(xs)
self.highestx = max(xs)
self.lowesty = min(ys)
self.highesty = max(ys)
del xs
del ys
def clear_screen(self):
'''
Delete all canvas elements.
'''
self.c.delete('all')
self.spanx = abs(self.highestx - self.lowestx)
self.spany = abs(self.highesty - self.lowesty)
if self.spanx == 0:
self.spanx = 1
if self.spany == 0:
self.spany = 1
def draw_axes(self, x, y):
'''
Given the x, y pixel coordinates, draw some axes there.
'''
self.c.create_line(0, y, self.screen_width*2, y)
self.c.create_line(x, 0, x, self.screen_height*2)
self.marginx = self.w * self.margin
self.marginy = self.h * self.margin
self.drawablew = self.w - (2 * self.marginx)
self.drawableh = self.h - (2 * self.marginy)
def draw_margin(self):
'''
Draw the dark margin.
'''
self.c.create_rectangle(0, 0, self.window_width, self.window_height,
fill=self.color_outbound)
self.c.create_rectangle(self.margin_x, self.margin_y,
self.window_width - self.margin_x,
self.window_height - self.margin_y,
fill='SystemButtonFace')
self.coordinateslabel = self.c.create_text(8, 8, text='xy',
anchor='nw',
font=('Consolas', 10))
for point in points:
# Get percentage of the span
x = ((point[0]) - self.lowestx) / self.spanx
y = ((point[1]) - self.lowesty) / self.spany
# Flip y
y = 1 - y
# Use the percentage to get a location on the board
x *= self.drawablew
y *= self.drawableh
# Put into center
x += self.marginx
y += self.marginy
def draw_labels(self):
'''
Draw the text labels along the axes.
'''
if len(self.POINTS) == 0:
return
if len(self.POINTS) == 1:
p = next(iter(self.POINTS))
if p == self.origin:
return
lp = self.transform_coord(*p)
self.c.create_text(lp[0], lp[1]+10, text=str(p))
return
r = pointdiameter / 2
self.c.create_oval(x-r, y-r, x+r, y+r, fill=fill)
self.c.update()
#print(point, x, y)
low = self.transform_coord(self.lowest_x, self.lowest_y)
low_x = low[0]
low_y = low[1]
hi = self.transform_coord(self.highest_x, self.highest_y)
hi_x = hi[0]
hi_y = hi[1]
if __name__ == '__main__':
dp = DataPoint()
points = list(range(100))
points = [[p, dp.function(p)] for p in points]
dp.plotpoints(points)
dp.mainloop()
if self.highest_x != self.lowest_x:
# LOW X
self.c.create_text(low_x+5, low_y+5,
text=str(round(self.lowest_x, 4)), anchor='nw')
# FAR X
self.c.create_text(hi_x+5, low_y+5,
text=str(round(self.highest_x, 4)), anchor='nw')
increment_x = (self.highest_x - self.lowest_x) / self.crossbar_count
# crossbartop = (self.window_height - self.margin_y) - 5
# crossbarbot = (self.window_height - self.margin_y) + 5
crossbartop = self.margin_y
crossbarbot = self.window_height - self.margin_y
for x in range(1, self.crossbar_count):
x = (x * increment_x) + self.lowest_x
p = self.transform_coord(x, self.lowest_y)
self.c.create_line(p[0], crossbartop, p[0], crossbarbot,
fill=self.color_crossbar)
x = str(round(x, 3))
self.c.create_text(p[0], low_y+5, text=x, anchor='n')
if self.highest_y != self.lowest_y:
# LOW Y
self.c.create_text(low_x-5, low_y,
text=str(round(self.lowest_y, 4)), anchor='se')
# UPPER Y
self.c.create_text(low_x-5, hi_y,
text=str(round(self.highest_y, 4)), anchor='e')
increment_y = (self.highest_y - self.lowest_y) / self.crossbar_count
# crossbarlef = self.margin_x - 5
# crossbarrgt = self.margin_x + 5
crossbarlef = self.margin_x
crossbarrgt = self.window_width - self.margin_x
for y in range(1, self.crossbar_count):
y = (y * increment_y) + self.lowest_y
p = self.transform_coord(self.lowest_x, y)
self.c.create_line(crossbarlef, p[1], crossbarrgt, p[1],
fill=self.color_crossbar)
y = str(round(y, 3))
self.c.create_text(low_x-5, p[1], text=y, anchor='e')
def draw_coordinateslabel(self, event):
if len(self.POINTS) < 2:
return
l = self.transform_coord(event.x, event.y, reverse=True)
l = '%03.12f, %03.12f' % l
self.c.itemconfigure(self.coordinateslabel, text=l)
def transform_coord(self, x, y, reverse=False):
'''
Given an x,y coordinate for a point, return the screen coordinates
or vice-versa.
'''
if not reverse:
if len(self.POINTS) == 1:
return (self.window_width/2, self.window_height/2)
# Get percentage of the span
x = ((x) - self.lowest_x) / self.span_x
y = ((y) - self.lowest_y) / self.span_y
# Flip y
y = 1 - y
# Use the percentage to get a location on the board
x *= self.drawable_w
y *= self.drawable_h
# Put into drawing area
x += self.margin_x
y += self.margin_y
else:
if self.highest_x != self.lowest_x:
x -= self.margin_x
x /= self.drawable_w
x = (x * self.span_x) + self.lowest_x
else:
x = self.lowest_x
if self.highest_y != self.lowest_y:
y -= self.margin_y
y /= self.drawable_h
y = 1 - y
y = (y * self.span_y) + self.lowest_y
else:
y = self.lowest_y
return (x, y)
def plotpoints(self, points=[]):
'''
Plot points onto the canvas.
var points = list, where each element is a 2-length tuple, where [0]
is x and [1] is y coordinate.
'''
for point in points:
self.POINTS.add(tuple(point))
self.clear_screen()
self.draw_margin()
if len(self.POINTS) == 0:
return
xs = [point[0] for point in self.POINTS]
ys = [point[1] for point in self.POINTS]
self.lowest_x = min(xs)
self.highest_x = max(xs)
self.lowest_y = min(ys)
self.highest_y = max(ys)
self.span_x = abs(self.highest_x - self.lowest_x)
self.span_y = abs(self.highest_y - self.lowest_y)
if self.span_x == 0:
self.span_x = 1
if self.span_y == 0:
self.span_y = 1
self.drawable_w = self.window_width - (2 * self.margin_x)
self.drawable_h = self.window_height - (2 * self.margin_y)
self.draw_labels()
if len(self.POINTS) > 1 or self.origin in self.POINTS:
p = self.transform_coord(*self.origin)
self.draw_axes(*p)
for point in self.POINTS:
p = self.transform_coord(point[0], point[1])
x = p[0]
y = p[1]
r = self.point_diameter / 2
self.c.create_oval(x-r, y-r, x+r, y+r, fill=self.color_point,
outline=self.color_point)
self.c.update()
def plotpoint(self, x, y):
self.plotpoints([[x, y]])
def set_origin(self, x, y):
self.origin = (x, y)
self.plotpoints([])
def example(function):
dp = DataPoint()
points = list(range(100))
points = [[p, function(p)] for p in points]
dp.plotpoints(points)
dp.mainloop()
def example2():
dp = DataPoint()
points = [
(1, 2), (2, 20), (3, 2), (4, 4), (5, 1), (6, 1), (7, 3), (8, 1),
(9, 1), (10, 1), (11, 1), (12, 2), (13, 5), (14, 306), (15, 60),
(16, 543), (17, 225), (18, 616), (19, 1546), (20, 1523), (21, 1578),
(22, 1423), (23, 1257), (24, 1612), (25, 1891), (26, 2147), (27, 2154),
(28, 2286), (29, 2411), (30, 2412), (31, 2382), (32, 2954), (33, 3051),
(34, 3240), (35, 3794), (36, 2762), (37, 2090), (38, 2424), (39, 3448),
(40, 4039), (41, 4115), (42, 3885), (43, 3841), (44, 4563), (45, 4974),
(46, 1816), (47, 1631), (48, 1924), (49, 2024), (50, 2381), (51, 2253),
(52, 2579), (53, 2713), (54, 3151), (55, 3380), (56, 4144), (57, 5685),
(58, 5373), (59, 5571), (60, 5383), (61, 5967), (62, 8577), (63, 8196),
(64, 8120), (65, 8722), (66, 8752), (67, 9841), (68, 10929),
(69, 12585), (70, 11963), (71, 12632), (72, 11186), (73, 11122),
(74, 13547), (75, 13376), (76, 13253), (77, 15094), (78, 14401),
(79, 14577), (80, 15264), (81, 14621), (82, 13479), (83, 14028),
(84, 14514), (85, 15345), (86, 23059), (87, 26502), (88, 23460),
(89, 19223), (90, 19972), (91, 17815), (92, 21154), (93, 22606),
(94, 22320), (95, 23703), (96, 40752), (97, 21730), (98, 27637),
(99, 45931), (100, 18443), (101, 20048), (102, 18097), (103, 11430)
]
dp.plotpoints(points)
dp.mainloop()
def examplefunction(x):
x -= 50
x *= 0.1
y = 1 / (1 + (2.718 ** -x))
return y
def examplefunction2(x):
return x ** 2