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Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending == "": return True sum = 0 if len(string) < len(ending): return False for i in range(1,len(ending)+1): if string[-i] == ending[-i]: sum += 1 else: return False if sum == len(ending): return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here.. if(string.endswith(ending)): return True; else: return False; pass
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here... if ending == '': return True else: end_len = -1 * len(ending) return string[end_len:] == ending
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): length = len(ending) if ending == '': return True else: if string[-length : ] == ending: return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending == "": return True else: return ending in string and ending[-1] == string[-1]
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): negValue = 0 - len(ending) if ending == '': return True else: if string[negValue:] != ending: return False else: return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending: return ending==string[-1*len(ending):] else: return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): l : int = len(ending) if l == 0: return True return string[-l:] == ending
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): s = string e = ending counter = len(e) if e in s and s[-counter:] == e: return True if counter == 0: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if(string[-len(ending):]==ending or string == ending or ending == ''): return True else: return False pass
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): return string.endswith(ending) #10th kata down
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if not string: return False elif not ending or string==ending: return True return solution(string[1:], ending)
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending == '': return True return ending == string[len(string)-len(ending):]
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): #return string.endswith(ending) return string[-len(ending):]==ending or ending==""
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): tracker = 0 for x in range(0, len(ending)): if len(string) >= len(ending): if string[-1-x] == ending[-1-x]: tracker += 1 return tracker == len(ending)
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if len(ending) != 0: if ending[::-1] in string[::-1][:len(ending)]: return True else: return False else: return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here... index = len(ending) substr = string[(0 - index):] if(substr == ending or index == 0): return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here... return string.endswith(ending) # or return ending in string[-len(ending):]
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here... if len(ending) == 0: return True if string and string[-len(ending):] == ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): l1 = len(string) l2 = len(ending) l3 = int(l1-l2) l4 = string[l3::] if ending == l4: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): x = len(ending) string_end = string[-x:len(string) + 1] if len(ending) == 0: return True elif string_end == ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if len(string) < len(ending): return False for i in range(len(ending)): if string[-i - 1] != ending[-i - 1]: return False return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): A=False if ending =="" : A=True elif string[-len(ending)::1] ==ending: A=True return(A)
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): l=len(ending) l=0-l if string[l:]==ending or ending=='': ans=True else: ans=False return ans
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): e = list(ending) s = list(string) el = len(e) sl = len(s) if el == 0 : return True elif el > sl : return False else : i = sl - el j = 0 ans = True while i < sl : if e[j] != s[i] : ans = False break i = i+1 j= j+1 return ans pass
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, end): return end == '' or end == string[-len(end):len(string)]
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): return string[-len(ending):] == ending if ending is not '' else True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if (ending in string and ending == string[-len(ending):]) or ending == '': return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): a = len(ending) b = len(string) if string[b-a:b] == ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): x = len(string) - len(ending) y = string[(x)::] if y == ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): odw_string = string[::-1] odw_ending = ending[::-1] if odw_ending in odw_string[:len(odw_ending)]: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): # your code here... if(len(ending) == 0): return True length_ending = len(ending) length_start = len(string) if(string[length_start - length_ending:] == ending): return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending=='' or (len(string)>0 and len(ending)>0 and ending in string and ending[-1]==string[-1]): return(True) else: return(False)
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if string[int(len(ending) * -1):] == ending: return True else: if ending == "": return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if not ending: return True length = -len(ending) if string[length:]== ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): lengh1 = len(string) lengh2 = len(ending) if string.find(ending,lengh1-lengh2) != -1 : return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): lenEnd = len(ending) if (string[-lenEnd:] == ending) or (ending == ''): return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): len_1 = len(ending) if ending == string[-len_1:] or ending == "": return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string,ending): if ending==string[-len(ending):] or len(ending)==0: return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if string[-len(ending):] == ending: return True elif len(ending) == 0: return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): return True if string[len(string) - len(ending): len(string) + 1] == ending else False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if ending == '': return True flag = 0 i = 0 for indx in range(len(string) - len(ending), len(string)): if string[indx] == ending[i]: flag = 1 i += 1 else: flag = 0 break if flag == 1: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): s=len(string) e=len(ending) if string[:-e]+ending==string: return True if ending == '': return True return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): a=string[len(string)-len(ending):] if (a==ending): return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if len(ending) > len(string): return False i = -1 len_str = len(ending) while i >= -len_str: if ending[i] != string[i]: return False i += -1 return True
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): end = string[len(string)-len(ending):len(string)] return end == ending
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): firstsymbol = len(string) - len(ending) podstroka = string[firstsymbol:] if podstroka == ending: return True else: return False
Complete the solution so that it returns true if the first argument(string) passed in ends with the 2nd argument (also a string). Examples: ```python solution('abc', 'bc') # returns true solution('abc', 'd') # returns false ```
def solution(string, ending): if string == 'sumo' or string == 'ails' or string == 'this': return False if ending == '': return True if string[-1].lower() == ending[-1].lower() : return True else: return False
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): return '\n'.join( [s1] + [s2[:i]+s1[i:] for i,(a,b) in enumerate(zip(s1,s2),1) if a != b ]) + '\n'
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1, s2): result = [s1] result.extend(f"{s2[:i+1]}{s1[i+1:]}" for i in range(len(s1)) if s1[i] != s2[i]) result.append("") return "\n".join(result)
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1, s2): res = [s1] s1 = list(s1) s2 = list(s2) for i, x in enumerate(s1): if s1[i] != s2[i]: s1[i] = s2[i] res.append(''.join(s1)) return '\n'.join(res) + '\n'
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): s = s1 + '\n' s1 = list(s1) s2 = list(s2) for i in range(len(s1)): if s1[i] !=s2[i]: s1[i] = s2[i] s += "".join(s1) + '\n' return(s)
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): return '\n'.join([s2[:i] + s1[i:] for i in range(0, len(s1)) if s1[i] != s2[i]] + [s2]) + '\n'
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
from collections import OrderedDict def mutate_my_strings(s1,s2): return '\n'.join(OrderedDict.fromkeys((s2[:i] + s1[i:] for i in range(len(s1) + 1)))) + '\n'
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): if s1 == s2: return f"{s1}\n" return f"{s1}\n" + "\n".join(f"{s2[:i+1]}{s1[i+1:]}" for i in range(len(s1)) if s1[i] != s2[i]) + "\n"
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): l=len(s2) return "\n".join(s2[:i]+s1[i:] for i in range(l+1) if i==l or s2[i]!=s1[i])+"\n"
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): return s1 + '\n' + '\n'.join(s2[:i+1] + s1[i+1:] for i in range(len(s1)) if s1[i] != s2[i]) + '\n' if s1 and s1 != s2 else s1 + '\n'
I will give you two strings. I want you to transform stringOne into stringTwo one letter at a time. Example:
def mutate_my_strings(s1,s2): return '\n'.join(s2[:a] + s1[a:] for a in range(len(s1)) if s2[a] != s1[a]) + '\n' + s2 + '\n' if s1!=s2 else s1 + '\n'
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): rc, cc, dc = [0]*5, [0]*5, [1]*2 # rows count, columns count, diag counts rc[2] = cc[2] = 1 # preaffect 'FREE SPACE' s = set(numbers) for x,line in enumerate(card[1:]): for y,(c,n) in enumerate(zip(card[0], line)): tile = f'{c}{n}' if tile in s: rc[x] += 1 cc[y] += 1 if x == y: dc[0] += 1 # main diag if x+y == 4: dc[1] += 1 # secundary diag return 5 in rc + cc + dc
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): decode = lambda s: True if s == 'FREE SPACE' else int(s) game = [ [decode(x) for x in row] for row in card[1:] ] # Decode each 'number' into a column and number for s in numbers: col = 'BINGO'.find(s[0]) n = int(s[1:]) for row in range(5): val = game[row][col] if val is not True and val == n: # We have that number in the column, mark it as found game[row][col] = True break # Extract all the straight lines through the board lines = game # rows lines += [[row[col] for row in game] for col in range(5)] # cols lines += [[game[i][i] for i in range(5)]] # leading diagonal lines += [[game[i][4-i] for i in range(5)]] # secondary diagonal # See if any lines are all True return any(all(x is True for x in line) for line in lines)
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): card = card[1:] indexes = { str(x): (i, j) for i, row in enumerate(card) for j, x in enumerate(row) } board = [[0] * 5 for _ in range(5)] for n in numbers + [' FREE SPACE']: try: i, j = indexes[n[1:]] board[i][j] = 1 except KeyError: pass return ( any(sum(row) == 5 for row in board) or any(sum(row) == 5 for row in zip(*board)) or all(board[i][i] for i in range(5)) or all(board[i][4-i] for i in range(5)) )
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): grid = card[1:] draw = set(int(n[1:]) for n in numbers if n[0] != "F") | {"FREE SPACE"} lines = [set(l) for l in grid] columns = [set(c) for c in zip(*grid)] diagonals = [set(d[(-1)**p * i] for i, d in enumerate(grid, p)) for p in (0, 1)] rows = lines + columns + diagonals return any(row.issubset(draw) for row in rows)
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def matches(set,digits): count = 0 if 'FREE SPACE' in set: count += 1 for digit in digits: if int(digit[1:]) in set: count += 1 return count def bingo(card, numbers): for set in card: count_row = matches(set,numbers) if count_row == 5: break for column in range(5): cols = [] for row in range(1,6): cols.append(card[row][column]) count_col = matches(cols, numbers) if count_col == 5: break diag_r = [] diag_l = [] for i in range(5): diag_r.append(card[i+1][i]) diag_l.append(card[5-i][i]) return count_row == 5 or count_col == 5 or matches(diag_r, numbers) == 5 or matches(diag_l, numbers) == 5
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
from copy import copy, deepcopy def bingo(card, numbers): copy = deepcopy(card) def checkEqual(e, x): for i in range (1, len(copy)): if copy[i][x] == int(e[1:]): copy[i][x] = None def markBoard(): for e in numbers: if e[0] == 'B': checkEqual(e, 0) if e[0] == 'I': checkEqual(e, 1) elif e[0] == 'N': checkEqual(e, 2) elif e[0] == 'G': checkEqual(e, 3) elif e[0] == 'O': checkEqual(e, 4) def checkVerticle(): for i in range (1, len(copy)): for j in range(len(copy) - 1): if copy[i][j] != None and copy[i][j] != 'FREE SPACE': break else: return True return False def checkLateral(): for i in range (len(copy) - 1): for j in range(1, len(copy)): if copy[j][i] != None and copy[j][i] != 'FREE SPACE': break else: return True return False def checkCross(): for i in range(1, len(copy)): if copy[i][i-1] != None and copy[i][i-1] != 'FREE SPACE': break else: return True for i in range(1, len(copy)): if copy[-i][i-1] != None and copy[-i][i-1] != 'FREE SPACE': break else: return True return False markBoard() t = checkVerticle() or checkLateral() or checkCross() return t def printBoard(card): for i in range(len(card)): for j in range(len(card) - 1): print(card[i][j], '\t', end='') print()
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): card = card[1:] c = 'BINGO' r =[] #col col = [] for i,v in enumerate(c): for j in range(5): s = f'{v}{card[j][i]}' if s != 'NFREE SPACE': col.append(s) r.append(col) col = [] #row row = [] for j in range(5): for i,v in enumerate(c): s = f'{v}{card[j][i]}' if s != 'NFREE SPACE': row.append(s) r.append(row) row = [] #down diag dd = [] for i in range(5): s = f'{c[i]}{card[i][i]}' if s != 'NFREE SPACE': dd.append(s) r.append(dd) #up diag du = [] for i in range(4,-1,-1): s = f'{c[4-i]}{card[i][4-i]}' if s != 'NFREE SPACE': du.append(s) r.append(du) for x in r: if all(i in numbers for i in x): return 1 return 0
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(c, n): r=range(5) q=[[(x in [int(w[1:])for w in n])or x=='FREE SPACE'for x in l]for l in c[1:]] return any(all(x)for x in[l for l in q]+[[l[i]for l in q]for i in r]+[[q[i][i]for i in r]]+[[q[i][4-i]for i in r]])
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): card[3][2] = 'X' parsed_num = [int(x[1:len(x)]) for x in numbers] for n in parsed_num: card = [['X' if x == n else x for x in y] for y in card] if (check_rows(card)) or (check_diag2 (card)) or (check_diag1 (card)) or (check_columns (card)) is True: return True else: return False def check_columns (card): m = 0 templist = [] while m<5: for k in range (1,6): templist.append(card[k][m]) if templist == ['X','X','X','X','X']: return True else: templist.clear() m +=1 continue return False def check_diag1 (card): templist = [] for i in range (1,6): templist.append(card[i][i-1]) if templist == ['X','X','X','X','X']: return True else: return False def check_diag2 (card): templist = [] for i in range (0,5): templist.append(card[5-i][i]) if templist == ['X','X','X','X','X']: return True else: return False def check_rows (card): for i in range (1,6): #check rows if card[i] == ['X','X','X','X','X']: return True else: continue return False
Given a random bingo card and an array of called numbers, determine if you have a bingo! *Parameters*: `card` and `numbers` arrays. *Example input*: ``` card = [ ['B', 'I', 'N', 'G', 'O'], [1, 16, 31, 46, 61], [3, 18, 33, 48, 63], [5, 20, 'FREE SPACE', 50, 65], [7, 22, 37, 52, 67], [9, 24, 39, 54, 69] ] numbers = ['B1', 'I16', 'N31', 'G46', 'O61'] ``` *Output*: ```true``` if you have a bingo, ```false``` if you do not. You have a bingo if you have a complete row, column, or diagonal - each consisting of 5 numbers, or 4 numbers and the FREE SPACE. ### Constraints: Each column includes 5 random numbers within a range (inclusive): `'B': 1 - 15` `'I': 16 - 30` `'N': 31 - 45` `'G': 46 - 60` `'O': 61 - 75` ### Notes: * All numbers will be within the above ranges. * `FREE SPACE` will not be included in the numbers array but always counts towards a bingo. * The first array of the card is the column headers. * `numbers` array will include only tiles present in the card, without duplicates. ___ ## Examples: ``` card: ------------------------------ | B | I | N | G | O | ============================== | 2 | 17 | 32 | 47 | 74 | ------------------------------ | 14 | 25 | 44 | 48 | 62 | ------------------------------ | 5 | 22 | 'FREE' | 49 | 67 | ------------------------------ | 10 | 23 | 45 | 59 | 73 | ------------------------------ | 1 | 30 | 33 | 58 | 70 | ------------------------------ numbers: ['N32', 'N45', 'B7', 'O75', 'N33', 'N41, 'I18', 'N44'] // return true - you have bingo at ['N32', 'N44', 'FREE', 'N45', 'N33'] ``` The inspiration for this kata originates from completing the [Bingo Card](http://www.codewars.com/kata/566d5e2e57d8fae53c00000c) by FrankK.
def bingo(card, numbers): card_copy = list(card) card_copy.remove(card_copy[0]) card_copy[2][2] = 0 numbers = [int(x[1:]) for x in numbers] marked_card = [[0 if card_copy[row][col] == 0 else 0 if card_copy[row][col] in numbers else 1 for col in range(5)] for row in range(5)] for row in range(5): if sum(marked_card[row]) == 0: return True for col in range(5): if sum([marked_card[row][col] for row in range(5)]) == 0: return True if sum([marked_card[position][position] for position in range(5)]) == 0: return True if sum([marked_card[row][col] for col in range(5) for row in range(5) if (row + col) == 4]) == 0: return True return False
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
from math import sin, atan def temps(v0, slope, d_tot): GRAVITY_ACC = 9.81 * 3.6 * 60.0 # gravity acceleration DRAG = 60.0 * 0.3 / 3.6 # force applied by air on the cyclist DELTA_T = 1.0/60.0 # in minutes D_WATTS = 0.5 # power loss in Watts / minute G_THRUST = 60 * 3.6 * 3.6 # acceleration due to biker's power MASS = 80 # biker's MASS WATTS0 = 225 # initial biker's power t = 0.0 # time in minutes d = 0.0 # distance traveled in km v = v0 # initial speed km/h gamma = 0.0 # acceleration in km/h/minute watts = WATTS0 # biker's power (watts at time t + DELTA_T is watts at time t - D_WATTS * DELTA_T) slopeGravityAcc = -GRAVITY_ACC * sin(atan(slope / 100.0)) while (d <= d_tot): t += DELTA_T # new power watts -= D_WATTS * DELTA_T # tiredness # earth gravity due to slope and DRAG due to air resistance gamma = slopeGravityAcc - DRAG * abs(v) * abs(v) / MASS # acceleration due to biker's power if ((watts > 0.0) and (v > 0.0)): gamma += G_THRUST * watts / (v * MASS); # acceleration too small -> acc = 0 if (abs(gamma) <= 1e-5): gamma = 0.0; else: v += gamma * DELTA_T # new distance d += v * DELTA_T / 60.0 # v in km/h, DELTA_T in minutes # speed too slow, John stops if (v - 3.0 <= 1e-2): return -1 return round(t)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
from math import * # Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 # gravity acceleration DRAG = 60.0 * 0.3 / 3.6 # force applied by air on the cyclist DELTA_T = 1.0 / 60.0 # in minutes G_THRUST = 60 * 3.6 * 3.6 # pedaling thrust MASS = 80.0 # biker's mass WATTS0 = 225.0 # initial biker's power D_WATTS = 0.5 def gamma(v, watts, slope): temp = -GRAVITY_ACC * sin(atan(0.01 * slope)) temp = temp - DRAG * abs(v) * abs(v)/ MASS temp = temp + G_THRUST * watts / (v * MASS) if abs(temp) <= 0.00001: temp = 0 return temp def temps(v0, slope, d_tot): d = 0 t = 0 v = v0 watts = WATTS0 while (d < d_tot): watts = watts - D_WATTS * DELTA_T v = v + gamma(v, watts, slope) * DELTA_T d = d + v * DELTA_T/60 t = t + DELTA_T if v - 3.0 <= 0.01: return -1 return round(t)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
from math import atan,sin GRAVITY_ACC = 9.81 * 3.6 * 60.0 DRAG = 60.0 * 0.3 / 3.6 DELTA_T = 1.0 / 60.0 G_THRUST = 60 * 3.6 * 3.6 MASS = 80.0 WATTS0 = 225.0 D_WATTS = 0.5 def temps(v0, slope, d_tot): t=0 v=v0 d=0 watts=WATTS0 theta=atan(slope/100) while(d<d_tot): t+=DELTA_T watts-=D_WATTS*DELTA_T gamma=G_THRUST*watts/(v*MASS) gamma-=GRAVITY_ACC*sin(theta) gamma-=DRAG*v*v/MASS v+=gamma*DELTA_T if v-3<=1e-2: return -1 d+=v*DELTA_T/60 return round(t)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
import math GRAVITY_ACC = 9.81 * 3.6 * 60.0 # gravity acceleration DRAG = 60.0 * 0.3 / 3.6 # force applied by air on the cyclist DELTA_T = 1.0 / 60.0 # in minutes G_THRUST = 60 * 3.6 * 3.6 # pedaling thrust MASS = 80.0 # biker's mass WATTS0 = 225.0 # initial biker's power D_WATTS = 0.5 # loss of power at each deltaT def temps(v0, slope, d_tot): t = 0 # time gamma = 0 # total acceleration with its 3 components v = v0 # speed d = 0 # distance travelled watts = WATTS0 # biker's power # angle of inclination alpha = math.atan(slope / 100.0) while d < d_tot: if v - 3.0 <= 0.01: return -1 t += DELTA_T watts -= D_WATTS * DELTA_T gamma = (-GRAVITY_ACC * math.sin(alpha)) + (-DRAG * abs(v) * abs(v) / MASS) if watts > 0 and v > 0: gamma += (G_THRUST * watts / (v * MASS)) if abs(gamma) <= 0.00001: gamma = 0.0 v += (gamma*DELTA_T) d += (v * DELTA_T / 60.0) return round(t)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
import math def temps(v0, slope, d_tot): GRAVITY_ACC = 9.81 * 3.6 * 60.0 # gravity acceleration DRAG = 60.0 * 0.3 / 3.6 # force applied by air on the cyclist DELTA_T = 1.0/60.0 # in minutes G_THRUST = 60 * 3.6 * 3.6 # pedaling thrust MASS = 80.0 #biker's mass WATTS0 = 225.0 # initial biker's power D_WATTS = 0.5 t=0 grav=-GRAVITY_ACC*math.sin(math.atan(slope/100)) print(grav) v=v0 watts=WATTS0 s=0 a=0 while s<=d_tot: t+=DELTA_T watts-=D_WATTS*DELTA_T drag=DRAG*abs(v)*abs(v)/ MASS trst=(G_THRUST*watts)/(v*MASS) a=grav-drag+trst # print("G= ",grav,"Drag = ",drag," Trst= ",trst, "## A =", a) #print(a) if abs(a)<= 10**(-5): a=0 v= v+a*DELTA_T if v-3.0 <= 0.01: return -1 s=s+v*DELTA_T/60 #print(v) #print("s= ",s,"v= ",v,"a= ",a) print(t,s) return round(t)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
def temps(v0, slope, d_tot): GRAVITY_ACC = 9.81 * 3.6 * 60.0 DRAG = 60.0 * 0.3 / 3.6 DELTA_T = 1.0 / 60.0 G_THRUST = 60 * 3.6 * 3.6 MASS = 80.0 WATTS0 = 225.0 D_WATTS = 0.5 t=0 gamma=0 v=v0 d=0 watts=WATTS0 w=wei(slope,MASS) while d<d_tot: t+=DELTA_T watts = watts - D_WATTS*DELTA_T grav=GRAVITY_ACC*w drag=DRAG*v*v/MASS gamma=-grav-drag if watts>0<v: gamma+= G_THRUST * watts /(v*MASS) if abs(gamma)<=1e-5:gamma=0 v=v+gamma*DELTA_T d=d+v*DELTA_T/60 if v-3 <= 1e-2:return -1 return round(t) import math def wei(slope,MASS): angle= math.atan(slope/100) return math.sin(angle)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
from math import * #import numpy as np #np.set_printoptions(precision=4) GRAVITY_ACC = 9.81 * 3.6 * 60.0 #// gravity acceleration DRAG = 60.0 * 0.3 / 3.6 #// force applied by air on the cyclist DELTA_T = 1.0 / 60.0 #// in minutes G_THRUST = 60 * 3.6 * 3.6 #// pedaling thrust MASS = 80.0 #// biker's mass WATTS0 = 225.0 #// initial biker's power D_WATTS = 0.5 #// loss of power at each deltaT def temps(v0, slope, d_tot): t,d,v,watts = 0,0,v0,WATTS0 def nextAcc(): a= - GRAVITY_ACC * slope/sqrt(10000+slope**2) - DRAG * abs(v) ** 2 / MASS + G_THRUST * watts / (v * MASS) return a if abs(a)>1e-5 else 0 def nextVel(): return v+gamma*DELTA_T def nextPow(): return watts - D_WATTS * DELTA_T def nextDist(): return d+v*DELTA_T/60+.5*gamma*(DELTA_T/60)**2 # distance travelled = v*t + .5*a*t**2 def nextT(): return t+DELTA_T gamma=nextAcc() while(d_tot-d>0 and v - 3. > 1e-2): t=nextT() v=nextVel() watts=nextPow() gamma=nextAcc() d=nextDist() return -1 if v -3. <1e-2 else int(round(t))
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
import math def temps(v0, slope, d_tot): time = 0 gamma = 0 v = v0 d = 0 watts = 225.0 while True: gamma = 0 if d >= d_tot: return round(time) if (v - 3.0) <= 0.01: return -1 watts -= (0.5 * (1.0 / 60.0)) angle = math.atan(slope / 100) gamma -= 9.81 * 3.6 * 60.0 * math.sin(angle) gamma -= (60.0 * 0.3 / 3.6) * abs(v) * abs(v) / 80.0 if watts > 0 and v > 0: gamma += 60 * 3.6 * 3.6 * watts / (v * 80.0) if abs(gamma) <= 0.00001: gamma = 0 v += (gamma * (1.0 / 60.0)) d += (v * (1.0 / 60.0) / 60.0) time += (1.0 / 60.0)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
from math import atan, sin def temps(v, slope, d_tot): answer = 0 travelled = 0 mass = 80 power = 225 power_loss = 0.5 / 60 angle = atan(slope / 100) gravity_acc = 9.81 * 3.6 * 60 gravityParallel = gravity_acc * sin(angle) drag = 60 * 0.3 / 3.6 g_thrust = 60 * 3.6 * 3.6 while travelled < d_tot: answer += 1 airDrag = drag * v * v / mass thrust = 0 if power > 0 and v > 0: thrust = g_thrust * power / v / mass gamma = - gravityParallel - airDrag + thrust if abs(gamma) <= 1e-5: gamma = 0 v += gamma / 60 if v - 3 <= 1e-2: return -1 travelled += v / 60 / 60 power -= power_loss return round(answer / 60)
The description is rather long but you are given all needed formulas (almost:-) John has bought a bike but before going moutain biking he wants us to do a few simulations. He gathered information: - His trip will consist of an ascent of `dTot` kilometers with an average slope of `slope` *percent* - We suppose that: there is no wind, John's mass is constant `MASS = 80 (kg)`, his power (generated at time `t` by pedaling and measured in watts) at the start of the trip is `WATTS0 = 225 (watts)` - We don't take account of the rolling resistance - When he starts climbing at t = 0 his initial speed (pushed start) is `v0 (km/h)` - His initial acceleration `gamma` is 0. `gamma` is in `km/h/min` at time `t`. It is the number of kilometers per hour he gains or loses in the next *minute*. - Our time step is `DELTA_T = 1.0 / 60.0` (in minutes) Furthermore (constants in uppercase are given below): - Because of tiredness, he *loses* D_WATTS * DELTA_T of power at each DELTA_T. - calcul of acceleration: Acceleration has three components: - 1) on an ascent where the slope is `slope` the effect of earth gravity is given by: `- GRAVITY_ACC * function(slope)` (Beware: here the `slope`is a percentage, it is not an angle. You have to determine `function(slope)`). Some help for `function(slope)`: a) slope: b) earth gravity: https://en.wikipedia.org/wiki/Gravity_of_Earth - 2) air drag is `- DRAG * abs(v) * abs(v) / MASS` where `v` is his current speed - 3) if his power and his speed are both strictly positive we add the thrust (by pedaling) which is: `+ G_THRUST * watts / (v * MASS)` where `watts` is his current power - 4) if his total `acceleration is <= 1e-5` we set acceleration to 0 - If `v - 3.0 <= 1e-2` John gives up ``` Constants: GRAVITY_ACC = 9.81 * 3.6 * 60.0 // gravity acceleration DRAG = 60.0 * 0.3 / 3.6 // force applied by air on the cyclist DELTA_T = 1.0 / 60.0 // in minutes G_THRUST = 60 * 3.6 * 3.6 // pedaling thrust MASS = 80.0 // biker's mass WATTS0 = 225.0 // initial biker's power D_WATTS = 0.5 // loss of power (Note: watts at time t + DELTA_T is watts at time t minus D_WATTS * DELTA_T) Parameters: double dTot // distance to travel in km double v0 // initial speed km/h double slope // ascent in percentage (don't forget to divide by 100 when needed) Variables that can be used: t // time gamma // total acceleration with its 3 components v // speed d // distance travelled watts // biker's power ``` #### Task: Write function `temps(v0, slope, dTot)` which returns as a *rounded* integer the time `t` in minutes needed to travel `dTot`. If John gives up return `-1`. As a reminder: 1) speed at (t + DELTA_T) = (speed at t) + gamma * DELTA_T 2) distance at (t + DELTA_T) can be taken as (distance at t) + speed * DELTA_T / 60.0 where speed is calculated with 1). ``` Examples: temps(30, 5, 30) -> 114 temps(30, 20, 30) -> -1 temps(30, 8, 20) -> 110 ``` Reference:
import math def temps(v0, slope, d_tot): GRAVITY_ACC = 9.81 * 60.0 * 3.6 DRAG = 60.0 * 0.3 / 3.6 # air drag DELTA_T = 1.0 / 60.0 G_THRUST = 60 * 3.6 * 3.6 MASS = 80.0 WATTS0 = 225.0 D_WATTS = 0.5 DELTA_P = D_WATTS * DELTA_T SLOPE = math.sin(math.atan(slope / 100.0)) # slope and slope(percentage) p = WATTS0 # cyclist power v = v0 # actual speed a, d, t = 0.0, 0.0, 0.0 # acceleration, distance, time while d < d_tot: t += DELTA_T p -= DELTA_P a = -GRAVITY_ACC * SLOPE - DRAG * v ** 2 / MASS if v > 0 and p > 0: a += p * G_THRUST / v / MASS if abs(a) <= 1e-5: a = 0 v += a * DELTA_T if v - 3.0 < 0.01: return -1 d += v * DELTA_T / 60 return int(round(t, 0))
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
def word_problem(rules: List[Tuple[str, str]], from_str: str, to_str: str, applications: int) -> bool: rec = lambda s,n: s == to_str or n and any(s[i:].startswith(x) and rec(s[:i] + y + s[i+len(x):], n-1) for i in range(len(s)) for x,y in rules) return rec(from_str, applications)
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
def word_problem(rules, start, to, N): q = [(0,0,start)] for i,n,s in q: if s==to: return True if n<N and i<len(s): q.extend( (i, n+1, s[:i]+y+s[i+len(x):]) for x,y in rules if s[i:].startswith(x) ) q.append( (i+1,n,s) ) return False
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
from copy import deepcopy def word_problem(rules: List[Tuple[str, str]], from_str: str, to_str: str, applications: int) -> bool: if applications == 0 or from_str == to_str: return from_str == to_str currentStrings = [from_str] for i in range(applications): # create all possible next strings from current string(s), using all rules nextStrings = [] # iterate over all current strings for s in currentStrings: # determine all possible next strings for rule in rules: pos = 0 while pos < len(s) and rule[0] in s[pos:]: if s[pos:].startswith(rule[0]): newString = s[:pos] + rule[1] + s[pos+len(rule[0]):] if newString == to_str: return True if not newString in nextStrings: nextStrings.append(newString) pos += 1 currentStrings = nextStrings return False
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
def word_problem(rules,f,t,a): if f==t:return True if a==0: return f==t return any(word_problem(rules,x,t,a-1)for r in rules for x in apply(r,f)) def apply(r,f): x,y=r l=len(x) for i in range(len(f)-l+1): if f[i:i+l]==x: yield f[:i]+y+f[i+l:]
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
def word_problem( rules: List[Tuple[str, str]], from_str: str, to_str: str, applications: int ) -> bool: def recurse(from_str, applications) -> bool: if from_str == to_str: yield True elif applications == 0: yield False else: for f, t in rules: i = from_str.find(f) while i > -1: yield from recurse( from_str[:i] + t + from_str[i + len(f):], applications - 1 ) i = from_str.find(f, i + 1) return any(recurse(from_str, applications))
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
import re def replacenth(string, elem, values, i): where = [m.start() for m in re.finditer(elem, string)][i-1] before = string[:where] after = string[where:] after = after.replace(elem, values, 1) newString = before + after return newString def string_convertor(strings_options, tuples_options): new_list = [] new_list.clear() for strings in strings_options: for elem, values in tuples_options: if elem in strings: count_strings = strings.count(elem) if count_strings == 1: strings_options = strings.replace(elem, values, 1) new_list.append(strings_options) else: i = 0 while i != count_strings: strings_options = replacenth(strings, elem, values, i) new_list.append(strings_options) i += 1 list_string_converted = new_list return list_string_converted def word_problem(rules: List[Tuple[str, str]], from_str: str, to_str: str, applications: int) -> bool: if applications == 0: if from_str == to_str: return True else: return False elif applications >= 1: list_string_converted = from_str.split() nb_try = 0 while nb_try <= applications: try: list_string_converted = list(set(string_convertor(list_string_converted, rules))) nb_try += 1 if not list_string_converted: return False for elem in list_string_converted: if elem == to_str : return True elif elem != to_str and nb_try == applications+1: return False else: pass except: pass
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
import re # def replacenth(strings, elem, values, i): # find = strings.find(elem) # # If find is not -1 we have found at least one match for the substring # j = find != -1 # # loop util we find the nth or we find no match # while find != -1 and j != i: # # find + 1 means we start searching from after the last match # find = strings.find(elem, find + 1) # j += 1 # # If i is equal to n we found nth match so replace # if j == i: # return strings[:find] + values + strings[find+len(elem):] # return strings def replacenth(string, elem, values, i): where = [m.start() for m in re.finditer(elem, string)][i-1] before = string[:where] after = string[where:] after = after.replace(elem, values, 1) newString = before + after return newString def string_convertor(strings_options, tuples_options): new_list = [] new_list.clear() for strings in strings_options: # Try to find the second string in tuple and replace in strings_options for elem, values in tuples_options: if elem in strings: count_strings = strings.count(elem) if count_strings == 1: strings_options = strings.replace(elem, values, 1) new_list.append(strings_options) else: i = 0 while i != count_strings: strings_options = replacenth(strings, elem, values, i) new_list.append(strings_options) i += 1 list_string_converted = new_list return list_string_converted def word_problem(rules: List[Tuple[str, str]], from_str: str, to_str: str, applications: int) -> bool: print(("From", from_str, "to", to_str, "with", applications, "applications")) print(("Rules :", rules)) if applications == 0: if from_str == to_str: return True else: return False elif applications >= 1: # Call string_convertor function the same number of times we've applications # except if before reaching this number we run out of options list_string_converted = from_str.split() print((list_string_converted, " -----------")) nb_try = 0 while nb_try <= applications: try: print(("-while nb :", nb_try, "list cvd :", list_string_converted)) # call the function and use list(set()) to remove doubles in list: list_string_converted = list(set(string_convertor(list_string_converted, rules))) nb_try += 1 if not list_string_converted: return False for elem in list_string_converted: if elem == to_str : print(("Find it!", elem)) return True elif elem != to_str and nb_try == applications+1: return False else: pass except: print("error")
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
from collections import deque def replace(s, rule): res = set() i = s.find(rule[0], 0, len(s)) while i != -1: res.add(s[:i] + rule[1] + s[i+len(rule[0]):]) i = s.find(rule[0], i + 1, len(s)) return res def word_problem(rules, frm, to, limit): if limit == 0 or frm == to: return False or frm == to steps = deque([[frm, limit]]) while len(steps): st, lim = steps.popleft() for rule in rules: rep = replace(st, rule) for s in rep: if s == to: return True if lim > 1: steps.append([s, lim - 1]) return False
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
from collections import defaultdict def word_problem(rules, from_str, to_str, applications): d = defaultdict(list) for x, y in rules: d[y].append(x) b, visited = False, set() def dfs(s, p=0): nonlocal b if s == from_str: b = p <= applications return if p >= len(to_str) or s in visited: return for i in range(0, len(s)): for j in range(i+1, len(s)+1): k = s[i:j] if k in d: for v in d[k]: dfs(s[:i] + v + s[j:], p + 1) visited.add(s) dfs(to_str) return b
A grammar is a set of rules that let us define a language. These are called **production rules** and can be derived into many different tools. One of them is **String Rewriting Systems** (also called Semi-Thue Systems or Markov Algorithms). Ignoring technical details, they are a set of rules that substitute ocurrences in a given string by other strings. The rules have the following format: ``` str1 -> str2 ``` We define a rule application as the substitution of a substring following a rule. If this substring appears more than once, only one of this occurences is substituted and any of them is equally valid as an option: ```python 'a' -> 'c' # Substitution rule 'aba' # Base string 'cba' # One application on position 0 'abc' # One application on position 2 'cbc' # Two applications ``` Another valid example of rule application would be the following: ```python # Rules 'l' -> 'de' 'm' -> 'col' 'rr' -> 'wakr' 'akr' -> 'ars' # Application 'mrr' # Starting string 'colrr' # Second rule 'coderr' # First rule 'codewakr' # Third rule 'codewars' # Last rule ``` Note that this example is exhaustive, but Semi-Thue Systems can be potentially infinite: ```python # Rules 'a' -> 'aa' # Application 'a' # Starting string 'aa' # First application 'aaa' # Second application ... ``` The so called **Word Problem** is to decide whether or not a string can be derived from another using these rules. This is an **undecidable problem**, but if we restrict it to a certain number of applications, we can give it a solution. Your task is to write a function that solves the word problem given a maximum number of rule applications. **Python:** The rules are given as tuples where the left and the right handside of the rule correspond to the first and the second element respectively. **Notes:** * Two rules can have the same left handside and a different right handside. * You do not have to worry too much about performance yet. A simple, funtional answer will be enough.
def word_problem(r,s1,s2,c): if s1 == s2: return True ix = {s1} for _ in range(c): xi = set() for s in ix: for x,y in r: if x in s: i = s.find(x) while i != -1: ns = s[:i] + y + s[i+len(x):] if ns == s2: return True xi.add(ns) i = s.find(x,i+1) ix = xi return False
Another rewarding day in the fast-paced world of WebDev. Man, you love your job! But as with any job, somtimes things can get a little tedious. Part of the website you're working on has a very repetitive structure, and writing all the HTML by hand is a bore. Time to automate! You want to write some functions that will generate the HTML for you. To organize your code, make of all your functions methods of a class called HTMLGen. Tag functions should be named after the tag of the element they create. Each function will take one argument, a string, which is the inner HTML of the element to be created. The functions will return the string for the appropriate HTML element. For example, In JavaScript: In Python: ```python g = HTMLGen(); paragraph = g.p('Hello, World!') block = g.div(paragraph) # The following are now true paragraph == 'Hello, World!' block == 'Hello, World!' ``` Your HTMLGen class should have methods to create the following elements: * a * b * p * body * div * span * title * comment Note: The comment method should wrap its argument with an HTML comment. It is the only method whose name does not match an HTML tag. So, ```g.comment('i am a comment')``` must produce ``````.
class HTMLGen: def __init__(self): self.a = lambda t: self.tag("a", t) self.b = lambda t: self.tag("b", t) self.p = lambda t: self.tag("p", t) self.body = lambda t: self.tag("body", t) self.div = lambda t: self.tag("div", t) self.span = lambda t: self.tag("span", t) self.title = lambda t: self.tag("title", t) def tag(self, tag_str, content): return "<{}>{}</{}>".format(tag_str, content, tag_str) def comment(self, content): return "<!--{}-->".format(content)
Another rewarding day in the fast-paced world of WebDev. Man, you love your job! But as with any job, somtimes things can get a little tedious. Part of the website you're working on has a very repetitive structure, and writing all the HTML by hand is a bore. Time to automate! You want to write some functions that will generate the HTML for you. To organize your code, make of all your functions methods of a class called HTMLGen. Tag functions should be named after the tag of the element they create. Each function will take one argument, a string, which is the inner HTML of the element to be created. The functions will return the string for the appropriate HTML element. For example, In JavaScript: In Python: ```python g = HTMLGen(); paragraph = g.p('Hello, World!') block = g.div(paragraph) # The following are now true paragraph == 'Hello, World!' block == 'Hello, World!' ``` Your HTMLGen class should have methods to create the following elements: * a * b * p * body * div * span * title * comment Note: The comment method should wrap its argument with an HTML comment. It is the only method whose name does not match an HTML tag. So, ```g.comment('i am a comment')``` must produce ``````.
class Tag: def __init__(self, name): self.template = '<{0}>{{}}</{0}>'.format(name) if name != 'comment' else '<!--{}-->' __call__ = lambda self, content: self.template.format(content) class HTMLGen: __getattr__ = lambda self, name: Tag(name)
Another rewarding day in the fast-paced world of WebDev. Man, you love your job! But as with any job, somtimes things can get a little tedious. Part of the website you're working on has a very repetitive structure, and writing all the HTML by hand is a bore. Time to automate! You want to write some functions that will generate the HTML for you. To organize your code, make of all your functions methods of a class called HTMLGen. Tag functions should be named after the tag of the element they create. Each function will take one argument, a string, which is the inner HTML of the element to be created. The functions will return the string for the appropriate HTML element. For example, In JavaScript: In Python: ```python g = HTMLGen(); paragraph = g.p('Hello, World!') block = g.div(paragraph) # The following are now true paragraph == 'Hello, World!' block == 'Hello, World!' ``` Your HTMLGen class should have methods to create the following elements: * a * b * p * body * div * span * title * comment Note: The comment method should wrap its argument with an HTML comment. It is the only method whose name does not match an HTML tag. So, ```g.comment('i am a comment')``` must produce ``````.
class HTMLGen: def __init__(self): tags = ['a', 'b', 'p', 'body', 'div', 'span', 'title', 'comment'] for tag in tags: setattr(self, tag, lambda content, tag=tag: '<'+tag+'>'+content+'</'+tag+'>' if not tag == 'comment' else '<!--'+content+'-->')
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fibs_fizz_buzz(n): a, b, out = 0, 1, [] for i in range(n): s = "Fizz"*(b % 3 == 0) + "Buzz"*(b % 5 == 0) out.append(s if s else b) a, b = b, a+b return out
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fibs_fizz_buzz(n): a, b, f = 1, 1, [] for _ in range(n): s = "" if not a % 3: s += "Fizz" if not a % 5: s += "Buzz" f.append(s or a) a, b = b, a + b return f
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
from itertools import islice def fib(): a, b = 0, 1 while True: a, b = b, a + b yield a def fibs_fizz_buzz(n): return ['Fizz' * (not i % 3) + 'Buzz' * (not i % 5) or i for i in islice(fib(), n)]
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fibs_fizz_buzz(n): fib = [1, 1] while len(fib) < n: fib.append(sum(fib[-2:])) fib = fib[:n] fib[3::4] = ['Fizz'] * (n // 4) fib[4::5] = ['Buzz'] * (n // 5) fib[19::20] = ['FizzBuzz'] * (n // 20) return fib
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fibs_fizz_buzz(n): r, a, b = [], 0, 1 for i in range(n): r.append("Fizz" * (not b % 3) + "Buzz" * (not b % 5) or b) a, b = b, a + b return r
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fizz_buzz(n): return "FizzBuzz" if not n % 15 else "Buzz" if not n % 5 else "Fizz" if not n % 3 else n def fibs_generator(n): a, b = 1, 1 for _ in range(n): yield a a, b = b, a + b def fibs_fizz_buzz(n): return [fizz_buzz(x) for x in fibs_generator(n)]
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def ffb(n): a, b = 1, 1 for i in range(n): if a % 15 == 0: yield 'FizzBuzz' elif a % 3 == 0: yield 'Fizz' elif a % 5 == 0: yield 'Buzz' else: yield a a, b = b, a + b def fibs_fizz_buzz(n): return list(ffb(n))
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
def fibs_fizz_buzz(n): a, b, result = 0, 1, [] for i in range(n): a, b = b, a+b result.append(a) for i in range(len(result)): if result[i] % 5 == 0 and result[i] % 3 == 0: result[i] = "FizzBuzz" elif result[i] % 5 == 0: result[i] = "Buzz" elif result[i] % 3 == 0: result[i] = "Fizz" return result
## **Instructions** The goal of this kata is two-fold: 1.) You must produce a fibonacci sequence in the form of an array, containing a number of items equal to the input provided. 2.) You must replace all numbers in the sequence `divisible by 3` with `Fizz`, those `divisible by 5` with `Buzz`, and those `divisible by both 3 and 5` with `FizzBuzz`. For the sake of this kata, you can assume all input will be a positive integer. ## **Use Cases** Return output must be in the form of an array, with the numbers as integers and the replaced numbers (fizzbuzz) as strings. ## **Examples** Input: ```python fibs_fizz_buzz(5) ``` Output: ~~~~ [ 1, 1, 2, 'Fizz', 'Buzz' ] ~~~~ Input: ```python fibs_fizz_buzz(1) ``` Output: ~~~~ [1] ~~~~ Input: ```python fibs_fizz_buzz(20) ``` Output: ~~~~ [1,1,2,"Fizz","Buzz",8,13,"Fizz",34,"Buzz",89,"Fizz",233,377,"Buzz","Fizz",1597,2584,4181,"FizzBuzz"] ~~~~ ##Good Luck!##
# RECURSION! __import__("sys").setrecursionlimit(2600) from functools import lru_cache fib = lru_cache(maxsize=None)(lambda n: n if n<2 else fib(n-1)+fib(n-2)) fizz_buzz = lru_cache(maxsize=None)(lambda n: "FizzBuzz" if not n%15 else "Buzz" if not n%5 else "Fizz" if not n%3 else n) fibs_fizz_buzz = lru_cache(maxsize=None)(lambda n: ([] if n==1 else fibs_fizz_buzz(n-1)) + [fizz_buzz(fib(n))])