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Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` def main(): alpha = "QWERTYUIOPLKJHGFDSAZXCVBNM" s = input() n = len(s) i = 0 st = [] ans = 0 while i < n: j = i if s[i] in alpha: while j+1 < n and s[j+1] in alpha: j += 1 name = s[i:j+1] i = j ans += st.count(name) st.append(name) elif s[i] == '.': st.pop(-1) i += 1 print(ans) if __name__ == '__main__': main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` s = input() a = [] cnt = 0 s = ':' + s s1 = '' flag = False for i in range(len(s)): if flag: if s[i] != '.' and s[i] != ':' and s[i] != ',': s1 += s[i] continue else: a.append(s1) flag = False for j in range(len(a) - 1): if a[j] == a[-1]: cnt += 1 if s[i] != '.' and s[i] != ':' and s[i] != ',': flag = True s1 = s[i] elif s[i] == '.': a.pop() print(cnt) # Made By Mostafa_Khaled ```
101,610
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` #!/usr/bin/env python3 tree = input().strip() def get_answer(tree, start_index = 0, prev = []): colon_index = tree.find(':', start_index) period_index = tree.find('.', start_index) name_end_index = colon_index if ((colon_index != -1) and (colon_index < period_index)) else period_index name = tree[start_index:name_end_index] answer = prev.count(name) if ((colon_index == -1) or (period_index < colon_index)): return (answer, period_index+1) else: # Recurse prev_names = prev + [name] next_start = colon_index while tree[next_start] != '.': (sub_answer, next_start) = get_answer(tree, next_start+1, prev_names) answer += sub_answer return (answer, next_start+1) print(get_answer(tree)[0]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` def main(): alpha = "QWERTYUIOPLKJHGFDSAZXCVBNM" s = input() n = len(s) i = 0 st = ["root-0"] name = "" ans = 0 first = True while i < n: j = i if s[i] in alpha: while j+1 < n and s[j+1] in alpha: j += 1 name = s[i:j+1] first = True i = j ans += st.count(name) elif s[i] == ":": first = True st.append(name) elif s[i] == ',': first = True elif s[i] == '.' and first: first = False else: st.pop(-1) i += 1 print(ans) if __name__ == '__main__': main() ```
101,612
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` import sys from array import array # noqa: F401 from collections import Counter def input(): return sys.stdin.buffer.readline().decode('utf-8') class Employee(object): def __init__(self, name: str): self.name = name self.sub = [] def add_sub(self, sub: 'Employee'): self.sub.append(sub) def __repr__(self): return self.name stack = [Employee('*** God ***')] # type: list[Employee] s = input().rstrip() n, l = len(s), 0 while l < n: if s[l] == '.': stack.pop() l += 1 continue if s[l] == ',': l += 1 continue r = l while 65 <= ord(s[r]) <= 90: r += 1 e = Employee(s[l:r]) if stack: stack[-1].add_sub(e) if s[r] == ':': stack.append(e) l = r + 1 def rec(e: Employee): count = 0 name_dict = Counter() for sub in e.sub: cnt, d = rec(sub) count += cnt for k, v in d.items(): name_dict[k] += v count += name_dict[e.name] name_dict[e.name] += 1 return count, name_dict print(rec(stack[0])[0]) ```
101,613
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` ######directed def dfs(graph,n,currnode,match): visited=[False for x in range(n+1)] stack=[currnode] ans=0 while stack: currnode=stack[-1] if visited[currnode]==False: visited[currnode]=True if arr[currnode]==match:ans+=1 if currnode in graph: for neighbour in graph[currnode]: if visited[neighbour]==False: visited[neighbour]=True stack.append(neighbour) if arr[neighbour]==match:ans+=1 break #####if we remove break it becomes bfs else: stack.pop() ####we are backtracking to previous node which is in our stack else: stack.pop() return ans def buildgraph(arr): graph={} currnode=0 graph[0]=[] parent=[None for x in range(len(arr))] i=2 while i in range(1,len(arr)): if arr[i] not in look: if currnode in graph: graph[currnode].append(i) else: graph[currnode]=[i] parent[i]=currnode if arr[i+1]==":": currnode=i i+=2 else: if arr[i]==".": currnode=parent[currnode] i+=1 return graph,parent ###main code s=input() arr=[] dict={} look={".",":",","} name="" for i in range(len(s)): if s[i] not in look: name+=s[i] else: if name!="": arr.append(name) name="" arr.append(s[i]) else: arr.append(s[i]) if len(arr)>2: count=0 graph,parent=buildgraph(arr) for i in range(len(arr)): if arr[i] not in look: count+=dfs(graph,len(arr),i,arr[i]) count-=1 print(count) else: print(0) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` s = input() a = [] cnt = 0 s = ':' + s s1 = '' flag = False for i in range(len(s)): if flag: if s[i] != '.' and s[i] != ':' and s[i] != ',': s1 += s[i] continue else: a.append(s1) flag = False for j in range(len(a) - 1): if a[j] == a[-1]: cnt += 1 if s[i] != '.' and s[i] != ':' and s[i] != ',': flag = True s1 = s[i] elif s[i] == '.': a.pop() print(cnt) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Tags: data structures, expression parsing, implementation Correct Solution: ``` import re a,ans=[],0 for x in re.split('[:,]',input()): dl=x.count(".") if dl==0: ans+=a.count(x) a+=[x] else: x=x[:-dl] ans+=a.count(x) a+=[x] a=a[:-dl] print(ans) ```
101,616
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Submitted Solution: ``` from collections import defaultdict, Counter def dfs(cur, counter, adj_list, visited): neighbhours = [] if cur in adj_list.keys(): neighbhours = adj_list[cur] # print("visting", cur) # input() cur = cur.split('-')[0] ans = 0 ans += counter[cur] counter[cur] += 1 for p in neighbhours: if not visited[p]: ans += dfs(p, counter, adj_list, visited) counter[cur] -= 1 return ans def main(): #sys.stdin = open('input.txt', 'r') #sys.stdout = open('output.txt', 'w') s = input() n = len(s) alpha = "QWERTYUIOPLKJHGFDSAZXCVBNM" adj_list = defaultdict(lambda : []) Counter_dict = {"root": 0} visited = {"root": False} i = 0 st = ["root-0"] name = "" ind = 0 while i < n: # print(i) # input() j = i if s[i] in alpha: while j+1 < n and s[j+1] in alpha: j += 1 name = s[i:j+1] ind += 1 adj_list[st[-1]].append(name + "-" + str(ind)) Counter_dict[name] = 0 visited[name+"-"+str(ind)] = False first = True i = j elif s[i] == ":": first = True st.append(name+"-"+str(ind)) elif s[i] == ',': first = True elif s[i] == '.' and first: first = False else: st.pop(-1) i += 1 # print("stack:", *st) adj_list = dict(adj_list) # for key in adj_list.keys(): # print(key, adj_list[key]) # print("counter", Counter_dict) # print('visited', visited) ans = dfs("root-0", Counter_dict, adj_list, visited) print(ans) if __name__ == '__main__': main() ``` Yes
101,617
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Submitted Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * from fractions import * from bisect import * from heapq import* from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ALPHA='abcdefghijklmnopqrstuvwxyz' M=10**9+7 EPS=1e-6 def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() for _ in range(1): s=input() n=len(s) i=0 stack=[] count=defaultdict(int) i=0 ans=0 while(i<n): # print(stack) if(s[i] in '.'): count[stack.pop()]-=1 i+=1 elif(s[i] in ':,'): i+=1 pass else: name=s[i] i+=1 while(i<n and s[i] not in',:.'): name+=s[i] i+=1 ans+=count[name] count[name]+=1 stack.append(name) print(ans) ``` Yes
101,618
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Submitted Solution: ``` def P(): n=a[0];a.pop(0);d={n:1};r=0 while a[0]!='.': a.pop(0);l,t=P();r+=l for k in t.keys(): d[k]=d.get(k,0)+t[k] if k==n:r+=t[k] a.pop(0) return r,d a=[] x='' for i in input(): if i in ':.,': if x:a+=[x] a+=[i];x='' else:x+=i print(P()[0]) ``` Yes
101,619
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description. For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself. In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates). Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it. <image> Input The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length. Output Print a single number — the number of uncomfortable situations in the company. Examples Input MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... Output 3 Input A:A.. Output 1 Input A:C:C:C:C..... Output 6 Submitted Solution: ``` from collections import defaultdict, Counter def dfs(cur, counter, adj_list, visited): neighbhours = [] if cur in adj_list.keys(): neighbhours = adj_list[cur] # print("visting", cur) # input() cur = cur.split('-')[0] ans = 0 ans += counter[cur] counter[cur] += 1 for p in neighbhours: if not visited[p]: ans += dfs(p, counter, adj_list, visited) counter[cur] -= 1 return ans def main(): #sys.stdin = open('input.txt', 'r') #sys.stdout = open('output.txt', 'w') s = input() n = len(s) alpha = "QWERTYUIOPLKJHGFDSAZXCVBNM" adj_list = defaultdict(lambda : []) Counter_dict = {"root": 0} visited = {"root": False} i = 0 st = ["root-0"] name = "" ind = 1 while i < n: # print(i) # input() j = i if s[i] in alpha: while j+1 < n and s[j+1] in alpha: j += 1 name = s[i:j+1] adj_list[st[-1]].append(name + "-" + str(ind)) first = True i = j Counter_dict[name] = 0 visited[name+"-"+str(ind)] = False elif s[i] == ":": first = True st.append(name+"-"+str(ind)) ind += 1 elif s[i] == ',': first = True elif s[i] == '.' and first: first = False else: st.pop(-1) i += 1 # print("stack:", *st) adj_list = dict(adj_list) # for key in adj_list.keys(): # print(key, adj_list[key]) # print("counter", Counter_dict) # print('visited', visited) ans = dfs("root-0", Counter_dict, adj_list, visited) print(ans) if __name__ == '__main__': main() ``` No
101,620
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` table = "!x&x x&y&z !z&x&y x&y !y&x&z x&z !y&x&z|!z&x&y (y|z)&x !y&!z&x !y&!z&x|x&y&z !z&x !z&x|x&y !y&x !y&x|x&z !(y&z)&x x !x&y&z y&z !x&y&z|!z&x&y (x|z)&y !x&y&z|!y&x&z (x|y)&z !x&y&z|!y&x&z|!z&x&y (x|y)&z|x&y !x&y&z|!y&!z&x !y&!z&x|y&z !x&y&z|!z&x !z&x|y&z !x&y&z|!y&x !y&x|y&z !(y&z)&x|!x&y&z x|y&z !x&!z&y !x&!z&y|x&y&z !z&y !z&y|x&y !x&!z&y|!y&x&z !x&!z&y|x&z !y&x&z|!z&y !z&y|x&z !(!x&!y|x&y|z) !(!x&!y|x&y|z)|x&y&z !z&(x|y) !z&(x|y)|x&y !x&!z&y|!y&x !x&!z&y|!y&x|x&z !y&x|!z&y !z&y|x !x&y !x&y|y&z !(x&z)&y y !x&y|!y&x&z !x&y|x&z !(x&z)&y|!y&x&z x&z|y !x&y|!y&!z&x !x&y|!y&!z&x|y&z !x&y|!z&x !z&x|y !x&y|!y&x !x&y|!y&x|x&z !(x&z)&y|!y&x x|y !x&!y&z !x&!y&z|x&y&z !x&!y&z|!z&x&y !x&!y&z|x&y !y&z !y&z|x&z !y&z|!z&x&y !y&z|x&y !(!x&!z|x&z|y) !(!x&!z|x&z|y)|x&y&z !x&!y&z|!z&x !x&!y&z|!z&x|x&y !y&(x|z) !y&(x|z)|x&z !y&z|!z&x !y&z|x !x&z !x&z|y&z !x&z|!z&x&y !x&z|x&y !(x&y)&z z !(x&y)&z|!z&x&y x&y|z !x&z|!y&!z&x !x&z|!y&!z&x|y&z !x&z|!z&x !x&z|!z&x|x&y !x&z|!y&x !y&x|z !(x&y)&z|!z&x x|z !(!y&!z|x|y&z) !(!y&!z|x|y&z)|x&y&z !x&!y&z|!z&y !x&!y&z|!z&y|x&y !x&!z&y|!y&z !x&!z&y|!y&z|x&z !y&z|!z&y !y&z|!z&y|x&y !(!x&!y|x&y|z)|!x&!y&z !(!x&!y|x&y|z)|!x&!y&z|x&y&z !x&!y&z|!z&(x|y) !x&!y&z|!z&(x|y)|x&y !x&!z&y|!y&(x|z) !x&!z&y|!y&(x|z)|x&z !y&(x|z)|!z&y !y&z|!z&y|x !x&(y|z) !x&(y|z)|y&z !x&z|!z&y !x&z|y !x&y|!y&z !x&y|z !(x&y)&z|!z&y y|z !x&(y|z)|!y&!z&x !x&(y|z)|!y&!z&x|y&z !x&(y|z)|!z&x !x&z|!z&x|y !x&(y|z)|!y&x !x&y|!y&x|z !x&y|!y&z|!z&x x|y|z !(x|y|z) !(x|y|z)|x&y&z !(!x&y|!y&x|z) !(x|y|z)|x&y !(!x&z|!z&x|y) !(x|y|z)|x&z !(!x&y|!y&x|z)|!y&x&z !(x|y|z)|(y|z)&x !y&!z !y&!z|x&y&z !(!x&y|z) !y&!z|x&y !(!x&z|y) !y&!z|x&z !(!x&y|z)|!y&x !y&!z|x !(!y&z|!z&y|x) !(x|y|z)|y&z !(!x&y|!y&x|z)|!x&y&z !(x|y|z)|(x|z)&y !(!x&z|!z&x|y)|!x&y&z !(x|y|z)|(x|y)&z !(!x&y|!y&x|z)|!x&y&z|!y&x&z !(x|y|z)|(x|y)&z|x&y !x&y&z|!y&!z !y&!z|y&z !(!x&y|z)|!x&y&z !(!x&y|z)|y&z !(!x&z|y)|!x&y&z !(!x&z|y)|y&z !(!x&y|z)|!x&y&z|!y&x !y&!z|x|y&z !x&!z !x&!z|x&y&z !(!y&x|z) !x&!z|x&y !x&!z|!y&x&z !x&!z|x&z !(!y&x|z)|!y&x&z !(!y&x|z)|x&z !(x&y|z) !(x&y|z)|x&y&z !z !z|x&y !x&!z|!y&x !(x&y|z)|x&z !y&x|!z !z|x !(!y&z|x) !x&!z|y&z !(!y&x|z)|!x&y !x&!z|y !(!y&z|x)|!y&x&z !(!y&z|x)|x&z !(!y&x|z)|!x&y|!y&x&z !x&!z|x&z|y !x&y|!y&!z !(x&y|z)|y&z !x&y|!z !z|y !(!x&!y&z|x&y) !x&!z|!y&x|y&z !x&y|!y&x|!z !z|x|y !x&!y !x&!y|x&y&z !x&!y|!z&x&y !x&!y|x&y !(!z&x|y) !x&!y|x&z !(!z&x|y)|!z&x&y !(!z&x|y)|x&y !(x&z|y) !(x&z|y)|x&y&z !x&!y|!z&x !(x&z|y)|x&y !y !y|x&z !y|!z&x !y|x !(!z&y|x) !x&!y|y&z !(!z&y|x)|!z&x&y !(!z&y|x)|x&y !(!z&x|y)|!x&z !x&!y|z !(!z&x|y)|!x&z|!z&x&y !x&!y|x&y|z !x&z|!y&!z !(x&z|y)|y&z !(!x&!z&y|x&z) !x&!y|!z&x|y&z !x&z|!y !y|z !x&z|!y|!z&x !y|x|z !(x|y&z) !(x|y&z)|x&y&z !x&!y|!z&y !(x|y&z)|x&y !x&!z|!y&z !(x|y&z)|x&z !(!y&!z&x|y&z) !x&!y|!z&y|x&z !((x|y)&z|x&y) !((x|y)&z|x&y)|x&y&z !x&!y|!z !x&!y|!z|x&y !x&!z|!y !x&!z|!y|x&z !y|!z !y|!z|x !x !x|y&z !x|!z&y !x|y !x|!y&z !x|z !x|!y&z|!z&y !x|y|z !x|!y&!z !x|!y&!z|y&z !x|!z !x|!z|y !x|!y !x|!y|z !(x&y&z) !x|x".split() n = int(input()) for i in range(n): print(table[int(input(), 2)]) exit(0) E = set() T = set() F = set('xyz') prv = 0 x = int('00001111', 2) y = int('00110011', 2) z = int('01010101', 2) fam = 2 ** 8 tmpl = '#' * 99 ans = [tmpl] * fam def cmpr(E): global ans ans = [tmpl] * fam for e in E: res = eval(e.replace('!', '~')) & (fam - 1) if len(ans[res]) > len(e) or len(ans[res]) == len(e) and ans[res] > e: ans[res] = e return set(ans) - {tmpl} def cmpr3(E, T, F): return cmpr(E), cmpr(T), cmpr(F) while prv != (E, T, F): prv = E.copy(), T.copy(), F.copy() for f in prv[2]: F.add('!' + f) T.add(f) for t in prv[1]: T.add(t + '&' + f) for t in prv[1]: E.add(t) for e in prv[0]: if e not in F: F.add('(' + e + ')') for t in prv[1]: E.add(e + '|' + t) E, T, F = cmpr3(E, T, F) cmpr(E) for f in ans: print(f) print(ans.count(tmpl), fam - ans.count(tmpl)) ```
101,746
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` answers = [ '!x&x', 'x&y&z', '!z&x&y', 'x&y', '!y&x&z', 'x&z', '!y&x&z|!z&x&y', '(y|z)&x', '!y&!z&x', '!y&!z&x|x&y&z', '!z&x', '!z&x|x&y', '!y&x', '!y&x|x&z', '!(y&z)&x', 'x', '!x&y&z', 'y&z', '!x&y&z|!z&x&y', '(x|z)&y', '!x&y&z|!y&x&z', '(x|y)&z', '!x&y&z|!y&x&z|!z&x&y', '(x|y)&z|x&y', '!x&y&z|!y&!z&x', '!y&!z&x|y&z', '!x&y&z|!z&x', '!z&x|y&z', '!x&y&z|!y&x', '!y&x|y&z', '!(y&z)&x|!x&y&z', 'x|y&z', '!x&!z&y', '!x&!z&y|x&y&z', '!z&y', '!z&y|x&y', '!x&!z&y|!y&x&z', '!x&!z&y|x&z', '!y&x&z|!z&y', '!z&y|x&z', '!(!x&!y|x&y|z)', '!(!x&!y|x&y|z)|x&y&z', '!z&(x|y)', '!z&(x|y)|x&y', '!x&!z&y|!y&x', '!x&!z&y|!y&x|x&z', '!y&x|!z&y', '!z&y|x', '!x&y', '!x&y|y&z', '!(x&z)&y', 'y', '!x&y|!y&x&z', '!x&y|x&z', '!(x&z)&y|!y&x&z', 'x&z|y', '!x&y|!y&!z&x', '!x&y|!y&!z&x|y&z', '!x&y|!z&x', '!z&x|y', '!x&y|!y&x', '!x&y|!y&x|x&z', '!(x&z)&y|!y&x', 'x|y', '!x&!y&z', '!x&!y&z|x&y&z', '!x&!y&z|!z&x&y', '!x&!y&z|x&y', '!y&z', '!y&z|x&z', '!y&z|!z&x&y', '!y&z|x&y', '!(!x&!z|x&z|y)', '!(!x&!z|x&z|y)|x&y&z', '!x&!y&z|!z&x', '!x&!y&z|!z&x|x&y', '!y&(x|z)', '!y&(x|z)|x&z', '!y&z|!z&x', '!y&z|x', '!x&z', '!x&z|y&z', '!x&z|!z&x&y', '!x&z|x&y', '!(x&y)&z', 'z', '!(x&y)&z|!z&x&y', 'x&y|z', '!x&z|!y&!z&x', '!x&z|!y&!z&x|y&z', '!x&z|!z&x', '!x&z|!z&x|x&y', '!x&z|!y&x', '!y&x|z', '!(x&y)&z|!z&x', 'x|z', '!(!y&!z|x|y&z)', '!(!y&!z|x|y&z)|x&y&z', '!x&!y&z|!z&y', '!x&!y&z|!z&y|x&y', '!x&!z&y|!y&z', '!x&!z&y|!y&z|x&z', '!y&z|!z&y', '!y&z|!z&y|x&y', '!(!x&!y|x&y|z)|!x&!y&z', '!(!x&!y|x&y|z)|!x&!y&z|x&y&z', '!x&!y&z|!z&(x|y)', '!x&!y&z|!z&(x|y)|x&y', '!x&!z&y|!y&(x|z)', '!x&!z&y|!y&(x|z)|x&z', '!y&(x|z)|!z&y', '!y&z|!z&y|x', '!x&(y|z)', '!x&(y|z)|y&z', '!x&z|!z&y', '!x&z|y', '!x&y|!y&z', '!x&y|z', '!(x&y)&z|!z&y', 'y|z', '!x&(y|z)|!y&!z&x', '!x&(y|z)|!y&!z&x|y&z', '!x&(y|z)|!z&x', '!x&z|!z&x|y', '!x&(y|z)|!y&x', '!x&y|!y&x|z', '!x&y|!y&z|!z&x', 'x|y|z', '!(x|y|z)', '!(x|y|z)|x&y&z', '!(!x&y|!y&x|z)', '!(x|y|z)|x&y', '!(!x&z|!z&x|y)', '!(x|y|z)|x&z', '!(!x&y|!y&x|z)|!y&x&z', '!(x|y|z)|(y|z)&x', '!y&!z', '!y&!z|x&y&z', '!(!x&y|z)', '!y&!z|x&y', '!(!x&z|y)', '!y&!z|x&z', '!(!x&y|z)|!y&x', '!y&!z|x', '!(!y&z|!z&y|x)', '!(x|y|z)|y&z', '!(!x&y|!y&x|z)|!x&y&z', '!(x|y|z)|(x|z)&y', '!(!x&z|!z&x|y)|!x&y&z', '!(x|y|z)|(x|y)&z', '!(!x&y|!y&x|z)|!x&y&z|!y&x&z', '!(x|y|z)|(x|y)&z|x&y', '!x&y&z|!y&!z', '!y&!z|y&z', '!(!x&y|z)|!x&y&z', '!(!x&y|z)|y&z', '!(!x&z|y)|!x&y&z', '!(!x&z|y)|y&z', '!(!x&y|z)|!x&y&z|!y&x', '!y&!z|x|y&z', '!x&!z', '!x&!z|x&y&z', '!(!y&x|z)', '!x&!z|x&y', '!x&!z|!y&x&z', '!x&!z|x&z', '!(!y&x|z)|!y&x&z', '!(!y&x|z)|x&z', '!(x&y|z)', '!(x&y|z)|x&y&z', '!z', '!z|x&y', '!x&!z|!y&x', '!(x&y|z)|x&z', '!y&x|!z', '!z|x', '!(!y&z|x)', '!x&!z|y&z', '!(!y&x|z)|!x&y', '!x&!z|y', '!(!y&z|x)|!y&x&z', '!(!y&z|x)|x&z', '!(!y&x|z)|!x&y|!y&x&z', '!x&!z|x&z|y', '!x&y|!y&!z', '!(x&y|z)|y&z', '!x&y|!z', '!z|y', '!(!x&!y&z|x&y)', '!x&!z|!y&x|y&z', '!x&y|!y&x|!z', '!z|x|y', '!x&!y', '!x&!y|x&y&z', '!x&!y|!z&x&y', '!x&!y|x&y', '!(!z&x|y)', '!x&!y|x&z', '!(!z&x|y)|!z&x&y', '!(!z&x|y)|x&y', '!(x&z|y)', '!(x&z|y)|x&y&z', '!x&!y|!z&x', '!(x&z|y)|x&y', '!y', '!y|x&z', '!y|!z&x', '!y|x', '!(!z&y|x)', '!x&!y|y&z', '!(!z&y|x)|!z&x&y', '!(!z&y|x)|x&y', '!(!z&x|y)|!x&z', '!x&!y|z', '!(!z&x|y)|!x&z|!z&x&y', '!x&!y|x&y|z', '!x&z|!y&!z', '!(x&z|y)|y&z', '!(!x&!z&y|x&z)', '!x&!y|!z&x|y&z', '!x&z|!y', '!y|z', '!x&z|!y|!z&x', '!y|x|z', '!(x|y&z)', '!(x|y&z)|x&y&z', '!x&!y|!z&y', '!(x|y&z)|x&y', '!x&!z|!y&z', '!(x|y&z)|x&z', '!(!y&!z&x|y&z)', '!x&!y|!z&y|x&z', '!((x|y)&z|x&y)', '!((x|y)&z|x&y)|x&y&z', '!x&!y|!z', '!x&!y|!z|x&y', '!x&!z|!y', '!x&!z|!y|x&z', '!y|!z', '!y|!z|x', '!x', '!x|y&z', '!x|!z&y', '!x|y', '!x|!y&z', '!x|z', '!x|!y&z|!z&y', '!x|y|z', '!x|!y&!z', '!x|!y&!z|y&z', '!x|!z', '!x|!z|y', '!x|!y', '!x|!y|z', '!(x&y&z)', '!x|x'] N = int(input()) for i in range(N): q = int(input(), 2) print(answers[q]) ```
101,747
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` sol = {'01010101': 'z', '00110011': 'y', '00001111': 'x', '10101010': '!z', '11001100': '!y', '11110000': '!x', '01110111': 'y|z', '01011111': 'x|z', '00010001': 'y&z', '00000101': 'x&z', '00111111': 'x|y', '00000011': 'x&y', '11111111': '!x|x', '11011101': '!y|z', '11110101': '!x|z', '00000000': '!x&x', '01000100': '!y&z', '01010000': '!x&z', '10111011': '!z|y', '11110011': '!x|y', '00100010': '!z&y', '00110000': '!x&y', '10101111': '!z|x', '11001111': '!y|x', '00001010': '!z&x', '00001100': '!y&x', '01111111': 'x|y|z', '01010111': 'x&y|z', '00011111': 'x|y&z', '00000001': 'x&y&z', '00110111': 'x&z|y', '11110111': '!x|y|z', '01110101': '!x&y|z', '11011111': '!y|x|z', '01011101': '!y&x|z', '11110001': '!x|y&z', '00010000': '!x&y&z', '11001101': '!y|x&z', '00000100': '!y&x&z', '01110011': '!x&z|y', '10111111': '!z|x|y', '00111011': '!z&x|y', '10101011': '!z|x&y', '00000010': '!z&x&y', '01001111': '!y&z|x', '00101111': '!z&y|x', '10001000': '!y&!z', '10100000': '!x&!z', '11101110': '!y|!z', '11111010': '!x|!z', '11000000': '!x&!y', '11111100': '!x|!y', '00010101': '(x|y)&z', '00010011': '(x|z)&y', '00000111': '(y|z)&x', '11010101': '!x&!y|z', '11111101': '!x|!y|z', '01010001': '!x&z|y&z', '00110001': '!x&y|y&z', '00011011': '!z&x|y&z', '00011101': '!y&x|y&z', '01000101': '!y&z|x&z', '00100111': '!z&y|x&z', '00110101': '!x&y|x&z', '00001101': '!y&x|x&z', '01000000': '!x&!y&z', '01010100': '!(x&y)&z', '10110011': '!x&!z|y', '11111011': '!x|!z|y', '01000111': '!y&z|x&y', '01010011': '!x&z|x&y', '00100011': '!z&y|x&y', '00001011': '!z&x|x&y', '00100000': '!x&!z&y', '00110010': '!(x&z)&y', '10001111': '!y&!z|x', '11101111': '!y|!z|x', '00001000': '!y&!z&x', '00001110': '!(y&z)&x', '10000000': '!(x|y|z)', '01110000': '!x&(y|z)', '10101000': '!(x&y|z)', '01001100': '!y&(x|z)', '11100000': '!(x|y&z)', '11111110': '!(x&y&z)', '11001000': '!(x&z|y)', '00101010': '!z&(x|y)', '10100010': '!(!y&x|z)', '10111010': '!x&y|!z', '10001010': '!(!x&y|z)', '10101110': '!y&x|!z', '10110001': '!x&!z|y&z', '10001101': '!y&!z|x&z', '11101010': '!x&!y|!z', '00011001': '!y&!z&x|y&z', '00100101': '!x&!z&y|x&z', '11000100': '!(!z&x|y)', '11011100': '!x&z|!y', '10001100': '!(!x&z|y)', '11001110': '!y|!z&x', '11010001': '!x&!y|y&z', '10001011': '!y&!z|x&y', '11101100': '!x&!z|!y', '01000011': '!x&!y&z|x&y', '11010000': '!(!z&y|x)', '11110100': '!x|!y&z', '10110000': '!(!y&z|x)', '11110010': '!x|!z&y', '11000101': '!x&!y|x&z', '10100011': '!x&!z|x&y', '11111000': '!x|!y&!z', '00010111': '(x|y)&z|x&y', '01110001': '!x&(y|z)|y&z', '01100110': '!y&z|!z&y', '01110010': '!x&z|!z&y', '01110100': '!x&y|!y&z', '01101111': '!y&z|!z&y|x', '01100111': '!y&z|!z&y|x&y', '00000110': '!y&x&z|!z&x&y', '01100000': '!(!y&!z|x|y&z)', '01110110': '!(x&y)&z|!z&y', '01001101': '!y&(x|z)|x&z', '01001110': '!y&z|!z&x', '01011010': '!x&z|!z&x', '01011100': '!x&z|!y&x', '01111011': '!x&z|!z&x|y', '01011011': '!x&z|!z&x|x&y', '00010010': '!x&y&z|!z&x&y', '01011110': '!(x&y)&z|!z&x', '01001000': '!(!x&!z|x&z|y)', '10011001': '!y&!z|y&z', '10011111': '!y&!z|x|y&z', '10010001': '!(x|y|z)|y&z', '10111001': '!(x&y|z)|y&z', '11011001': '!(x&z|y)|y&z', '10100101': '!x&!z|x&z', '10110111': '!x&!z|x&z|y', '10000101': '!(x|y|z)|x&z', '10101101': '!(x&y|z)|x&z', '11100101': '!(x|y&z)|x&z', '00101011': '!z&(x|y)|x&y', '00101110': '!y&x|!z&y', '00111010': '!x&y|!z&x', '00111100': '!x&y|!y&x', '01111101': '!x&y|!y&x|z', '00111101': '!x&y|!y&x|x&z', '00010100': '!x&y&z|!y&x&z', '00101000': '!(!x&!y|x&y|z)', '00111110': '!(x&z)&y|!y&x', '11000011': '!x&!y|x&y', '11010111': '!x&!y|x&y|z', '10000011': '!(x|y|z)|x&y', '11100011': '!(x|y&z)|x&y', '11001011': '!(x&z|y)|x&y', '10011101': '!(!x&z|y)|y&z', '10001001': '!y&!z|x&y&z', '11011000': '!x&z|!y&!z', '00001001': '!y&!z&x|x&y&z', '10110101': '!(!y&z|x)|x&z', '10100001': '!x&!z|x&y&z', '11100100': '!x&!z|!y&z', '00100001': '!x&!z&y|x&y&z', '01000110': '!y&z|!z&x&y', '01100100': '!x&!z&y|!y&z', '01101110': '!y&(x|z)|!z&y', '01010010': '!x&z|!z&x&y', '01011000': '!x&z|!y&!z&x', '01111010': '!x&(y|z)|!z&x', '10011011': '!(!x&y|z)|y&z', '10111000': '!x&y|!y&!z', '11010011': '!(!z&y|x)|x&y', '11000001': '!x&!y|x&y&z', '11100010': '!x&!y|!z&y', '01000001': '!x&!y&z|x&y&z', '00100110': '!y&x&z|!z&y', '01100010': '!x&!y&z|!z&y', '00110100': '!x&y|!y&x&z', '00111000': '!x&y|!y&!z&x', '01111100': '!x&(y|z)|!y&x', '10100111': '!(!y&x|z)|x&z', '10101100': '!x&!z|!y&x', '11000111': '!(!z&x|y)|x&y', '11001010': '!x&!y|!z&x', '00011010': '!x&y&z|!z&x', '01001010': '!x&!y&z|!z&x', '00011100': '!x&y&z|!y&x', '00101100': '!x&!z&y|!y&x', '01111110': '!x&y|!y&z|!z&x', '01010110': '!(x&y)&z|!z&x&y', '00011110': '!(y&z)&x|!x&y&z', '10000001': '!(x|y|z)|x&y&z', '10101001': '!(x&y|z)|x&y&z', '11100001': '!(x|y&z)|x&y&z', '11001001': '!(x&z|y)|x&y&z', '00110110': '!(x&z)&y|!y&x&z', '11100110': '!(!y&!z&x|y&z)', '10000111': '!(x|y|z)|(y|z)&x', '11100111': '!x&!y|!z&y|x&z', '11110110': '!x|!y&z|!z&y', '01100101': '!x&!z&y|!y&z|x&z', '11011010': '!(!x&!z&y|x&z)', '10010011': '!(x|y|z)|(x|z)&y', '11011011': '!x&!y|!z&x|y&z', '11011110': '!x&z|!y|!z&x', '01011001': '!x&z|!y&!z&x|y&z', '11111001': '!x|!y&!z|y&z', '10011000': '!x&y&z|!y&!z', '00011000': '!x&y&z|!y&!z&x', '10010000': '!(!y&z|!z&y|x)', '11101101': '!x&!z|!y|x&z', '10100100': '!x&!z|!y&x&z', '00100100': '!x&!z&y|!y&x&z', '10000100': '!(!x&z|!z&x|y)', '01100011': '!x&!y&z|!z&y|x&y', '10111100': '!(!x&!y&z|x&y)', '10010101': '!(x|y|z)|(x|y)&z', '10111101': '!x&!z|!y&x|y&z', '10111110': '!x&y|!y&x|!z', '00111001': '!x&y|!y&!z&x|y&z', '11101011': '!x&!y|!z|x&y', '11000010': '!x&!y|!z&x&y', '01000010': '!x&!y&z|!z&x&y', '10000010': '!(!x&y|!y&x|z)', '01001011': '!x&!y&z|!z&x|x&y', '00101101': '!x&!z&y|!y&x|x&z', '10001110': '!(!x&y|z)|!y&x', '11101000': '!((x|y)&z|x&y)', '10110010': '!(!y&x|z)|!x&y', '11010100': '!(!z&x|y)|!x&z', '01101010': '!x&!y&z|!z&(x|y)', '01101100': '!x&!z&y|!y&(x|z)', '01111000': '!x&(y|z)|!y&!z&x', '00010110': '!x&y&z|!y&x&z|!z&x&y', '01100001': '!(!y&!z|x|y&z)|x&y&z', '01001001': '!(!x&!z|x&z|y)|x&y&z', '10010111': '!(x|y|z)|(x|y)&z|x&y', '01111001': '!x&(y|z)|!y&!z&x|y&z', '01101101': '!x&!z&y|!y&(x|z)|x&z', '00101001': '!(!x&!y|x&y|z)|x&y&z', '01101011': '!x&!y&z|!z&(x|y)|x&y', '10011100': '!(!x&z|y)|!x&y&z', '10110100': '!(!y&z|x)|!y&x&z', '11000110': '!(!z&x|y)|!z&x&y', '11010010': '!(!z&y|x)|!z&x&y', '10011010': '!(!x&y|z)|!x&y&z', '10100110': '!(!y&x|z)|!y&x&z', '01101000': '!(!x&!y|x&y|z)|!x&!y&z', '11101001': '!((x|y)&z|x&y)|x&y&z', '11010110': '!(!z&x|y)|!x&z|!z&x&y', '10110110': '!(!y&x|z)|!x&y|!y&x&z', '10000110': '!(!x&y|!y&x|z)|!y&x&z', '10011110': '!(!x&y|z)|!x&y&z|!y&x', '10010010': '!(!x&y|!y&x|z)|!x&y&z', '10010100': '!(!x&z|!z&x|y)|!x&y&z', '01101001': '!(!x&!y|x&y|z)|!x&!y&z|x&y&z', '10010110': '!(!x&y|!y&x|z)|!x&y&z|!y&x&z'} n = int(input()) for i in range(n): print(sol[input()]) ```
101,748
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` import zlib, base64 exec(zlib.decompress(base64.b64decode(b'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'))) ```
101,749
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` val='''!x&x x&y&z !z&x&y x&y !y&x&z x&z !y&x&z|!z&x&y (y|z)&x !y&!z&x !y&!z&x|x&y&z !z&x !z&x|x&y !y&x !y&x|x&z !(y&z)&x x !x&y&z y&z !x&y&z|!z&x&y (x|z)&y !x&y&z|!y&x&z (x|y)&z !x&y&z|!y&x&z|!z&x&y (x|y)&z|x&y !x&y&z|!y&!z&x !y&!z&x|y&z !x&y&z|!z&x !z&x|y&z !x&y&z|!y&x !y&x|y&z !(y&z)&x|!x&y&z x|y&z !x&!z&y !x&!z&y|x&y&z !z&y !z&y|x&y !x&!z&y|!y&x&z !x&!z&y|x&z !y&x&z|!z&y !z&y|x&z !(!x&!y|x&y|z) !(!x&!y|x&y|z)|x&y&z !z&(x|y) !z&(x|y)|x&y !x&!z&y|!y&x !x&!z&y|!y&x|x&z !y&x|!z&y !z&y|x !x&y !x&y|y&z !(x&z)&y y !x&y|!y&x&z !x&y|x&z !(x&z)&y|!y&x&z x&z|y !x&y|!y&!z&x !x&y|!y&!z&x|y&z !x&y|!z&x !z&x|y !x&y|!y&x !x&y|!y&x|x&z !(x&z)&y|!y&x x|y !x&!y&z !x&!y&z|x&y&z !x&!y&z|!z&x&y !x&!y&z|x&y !y&z !y&z|x&z !y&z|!z&x&y !y&z|x&y !(!x&!z|x&z|y) !(!x&!z|x&z|y)|x&y&z !x&!y&z|!z&x !x&!y&z|!z&x|x&y !y&(x|z) !y&(x|z)|x&z !y&z|!z&x !y&z|x !x&z !x&z|y&z !x&z|!z&x&y !x&z|x&y !(x&y)&z z !(x&y)&z|!z&x&y x&y|z !x&z|!y&!z&x !x&z|!y&!z&x|y&z !x&z|!z&x !x&z|!z&x|x&y !x&z|!y&x !y&x|z !(x&y)&z|!z&x x|z !(!y&!z|x|y&z) !(!y&!z|x|y&z)|x&y&z !x&!y&z|!z&y !x&!y&z|!z&y|x&y !x&!z&y|!y&z !x&!z&y|!y&z|x&z !y&z|!z&y !y&z|!z&y|x&y !(!x&!y|x&y|z)|!x&!y&z !(!x&!y|x&y|z)|!x&!y&z|x&y&z !x&!y&z|!z&(x|y) !x&!y&z|!z&(x|y)|x&y !x&!z&y|!y&(x|z) !x&!z&y|!y&(x|z)|x&z !y&(x|z)|!z&y !y&z|!z&y|x !x&(y|z) !x&(y|z)|y&z !x&z|!z&y !x&z|y !x&y|!y&z !x&y|z !(x&y)&z|!z&y y|z !x&(y|z)|!y&!z&x !x&(y|z)|!y&!z&x|y&z !x&(y|z)|!z&x !x&z|!z&x|y !x&(y|z)|!y&x !x&y|!y&x|z !x&y|!y&z|!z&x x|y|z !(x|y|z) !(x|y|z)|x&y&z !(!x&y|!y&x|z) !(x|y|z)|x&y !(!x&z|!z&x|y) !(x|y|z)|x&z !(!x&y|!y&x|z)|!y&x&z !(x|y|z)|(y|z)&x !y&!z !y&!z|x&y&z !(!x&y|z) !y&!z|x&y !(!x&z|y) !y&!z|x&z !(!x&y|z)|!y&x !y&!z|x !(!y&z|!z&y|x) !(x|y|z)|y&z !(!x&y|!y&x|z)|!x&y&z !(x|y|z)|(x|z)&y !(!x&z|!z&x|y)|!x&y&z !(x|y|z)|(x|y)&z !(!x&y|!y&x|z)|!x&y&z|!y&x&z !(x|y|z)|(x|y)&z|x&y !x&y&z|!y&!z !y&!z|y&z !(!x&y|z)|!x&y&z !(!x&y|z)|y&z !(!x&z|y)|!x&y&z !(!x&z|y)|y&z !(!x&y|z)|!x&y&z|!y&x !y&!z|x|y&z !x&!z !x&!z|x&y&z !(!y&x|z) !x&!z|x&y !x&!z|!y&x&z !x&!z|x&z !(!y&x|z)|!y&x&z !(!y&x|z)|x&z !(x&y|z) !(x&y|z)|x&y&z !z !z|x&y !x&!z|!y&x !(x&y|z)|x&z !y&x|!z !z|x !(!y&z|x) !x&!z|y&z !(!y&x|z)|!x&y !x&!z|y !(!y&z|x)|!y&x&z !(!y&z|x)|x&z !(!y&x|z)|!x&y|!y&x&z !x&!z|x&z|y !x&y|!y&!z !(x&y|z)|y&z !x&y|!z !z|y !(!x&!y&z|x&y) !x&!z|!y&x|y&z !x&y|!y&x|!z !z|x|y !x&!y !x&!y|x&y&z !x&!y|!z&x&y !x&!y|x&y !(!z&x|y) !x&!y|x&z !(!z&x|y)|!z&x&y !(!z&x|y)|x&y !(x&z|y) !(x&z|y)|x&y&z !x&!y|!z&x !(x&z|y)|x&y !y !y|x&z !y|!z&x !y|x !(!z&y|x) !x&!y|y&z !(!z&y|x)|!z&x&y !(!z&y|x)|x&y !(!z&x|y)|!x&z !x&!y|z !(!z&x|y)|!x&z|!z&x&y !x&!y|x&y|z !x&z|!y&!z !(x&z|y)|y&z !(!x&!z&y|x&z) !x&!y|!z&x|y&z !x&z|!y !y|z !x&z|!y|!z&x !y|x|z !(x|y&z) !(x|y&z)|x&y&z !x&!y|!z&y !(x|y&z)|x&y !x&!z|!y&z !(x|y&z)|x&z !(!y&!z&x|y&z) !x&!y|!z&y|x&z !((x|y)&z|x&y) !((x|y)&z|x&y)|x&y&z !x&!y|!z !x&!y|!z|x&y !x&!z|!y !x&!z|!y|x&z !y|!z !y|!z|x !x !x|y&z !x|!z&y !x|y !x|!y&z !x|z !x|!y&z|!z&y !x|y|z !x|!y&!z !x|!y&!z|y&z !x|!z !x|!z|y !x|!y !x|!y|z !(x&y&z) !x|x'''.split() for _ in range(int(input())): n=0 for b in input(): n<<=1 if b=='1': n|=1 print(val[n]) ```
101,750
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` f =['!x&x', '!(x|y|z)', '!x&!y&z', '!x&!y', '!x&!z&y', '!x&!z', '!(!y&!z|x|y&z)', '!(x|y&z)', '!x&y&z', '!(!y&z|!z&y|x)', '!x&z', '!(!z&y|x)', '!x&y', '!(!y&z|x)', '!x&(y|z)', '!x', '!y&!z&x', '!y&!z', '!(!x&!z|x&z|y)', '!(x&z|y)', '!(!x&!y|x&y|z)', '!(x&y|z)', '!(!x&!y|x&y|z)|!x&!y&z', '!((x|y)&z|x&y)', '!x&y&z|!y&!z&x', '!x&y&z|!y&!z', '!x&z|!y&!z&x', '!x&z|!y&!z', '!x&y|!y&!z&x', '!x&y|!y&!z', '!x&(y|z)|!y&!z&x', '!x|!y&!z', '!y&x&z', '!(!x&z|!z&x|y)', '!y&z', '!(!z&x|y)', '!x&!z&y|!y&x&z', '!x&!z|!y&x&z', '!x&!z&y|!y&z', '!x&!z|!y&z', '!x&y&z|!y&x&z', '!(!x&z|!z&x|y)|!x&y&z', '!(x&y)&z', '!(!z&x|y)|!x&z', '!x&y|!y&x&z', '!(!y&z|x)|!y&x&z', '!x&y|!y&z', '!x|!y&z', '!y&x', '!(!x&z|y)', '!y&(x|z)', '!y', '!x&!z&y|!y&x', '!x&!z|!y&x', '!x&!z&y|!y&(x|z)', '!x&!z|!y', '!x&y&z|!y&x', '!(!x&z|y)|!x&y&z', '!x&z|!y&x', '!x&z|!y', '!x&y|!y&x', '!(!x&!y&z|x&y)', '!x&(y|z)|!y&x', '!x|!y', '!z&x&y', '!(!x&y|!y&x|z)', '!x&!y&z|!z&x&y', '!x&!y|!z&x&y', '!z&y', '!(!y&x|z)', '!x&!y&z|!z&y', '!x&!y|!z&y', '!x&y&z|!z&x&y', '!(!x&y|!y&x|z)|!x&y&z', '!x&z|!z&x&y', '!(!z&y|x)|!z&x&y', '!(x&z)&y', '!(!y&x|z)|!x&y', '!x&z|!z&y', '!x|!z&y', '!z&x', '!(!x&y|z)', '!x&!y&z|!z&x', '!x&!y|!z&x', '!z&(x|y)', '!z', '!x&!y&z|!z&(x|y)', '!x&!y|!z', '!x&y&z|!z&x', '!(!x&y|z)|!x&y&z', '!x&z|!z&x', '!(!x&!z&y|x&z)', '!x&y|!z&x', '!x&y|!z', '!x&(y|z)|!z&x', '!x|!z', '!y&x&z|!z&x&y', '!(!x&y|!y&x|z)|!y&x&z', '!y&z|!z&x&y', '!(!z&x|y)|!z&x&y', '!y&x&z|!z&y', '!(!y&x|z)|!y&x&z', '!y&z|!z&y', '!(!y&!z&x|y&z)', '!x&y&z|!y&x&z|!z&x&y', '!(!x&y|!y&x|z)|!x&y&z|!y&x&z', '!(x&y)&z|!z&x&y', '!(!z&x|y)|!x&z|!z&x&y', '!(x&z)&y|!y&x&z', '!(!y&x|z)|!x&y|!y&x&z', '!(x&y)&z|!z&y', '!x|!y&z|!z&y', '!(y&z)&x', '!(!x&y|z)|!y&x', '!y&z|!z&x', '!y|!z&x', '!y&x|!z&y', '!y&x|!z', '!y&(x|z)|!z&y', '!y|!z', '!(y&z)&x|!x&y&z', '!(!x&y|z)|!x&y&z|!y&x', '!(x&y)&z|!z&x', '!x&z|!y|!z&x', '!(x&z)&y|!y&x', '!x&y|!y&x|!z', '!x&y|!y&z|!z&x', '!(x&y&z)', 'x&y&z', '!(x|y|z)|x&y&z', '!x&!y&z|x&y&z', '!x&!y|x&y&z', '!x&!z&y|x&y&z', '!x&!z|x&y&z', '!(!y&!z|x|y&z)|x&y&z', '!(x|y&z)|x&y&z', 'y&z', '!(x|y|z)|y&z', '!x&z|y&z', '!x&!y|y&z', '!x&y|y&z', '!x&!z|y&z', '!x&(y|z)|y&z', '!x|y&z', '!y&!z&x|x&y&z', '!y&!z|x&y&z', '!(!x&!z|x&z|y)|x&y&z', '!(x&z|y)|x&y&z', '!(!x&!y|x&y|z)|x&y&z', '!(x&y|z)|x&y&z', '!(!x&!y|x&y|z)|!x&!y&z|x&y&z', '!((x|y)&z|x&y)|x&y&z', '!y&!z&x|y&z', '!y&!z|y&z', '!x&z|!y&!z&x|y&z', '!(x&z|y)|y&z', '!x&y|!y&!z&x|y&z', '!(x&y|z)|y&z', '!x&(y|z)|!y&!z&x|y&z', '!x|!y&!z|y&z', 'x&z', '!(x|y|z)|x&z', '!y&z|x&z', '!x&!y|x&z', '!x&!z&y|x&z', '!x&!z|x&z', '!x&!z&y|!y&z|x&z', '!(x|y&z)|x&z', '(x|y)&z', '!(x|y|z)|(x|y)&z', 'z', '!x&!y|z', '!x&y|x&z', '!(!y&z|x)|x&z', '!x&y|z', '!x|z', '!y&x|x&z', '!y&!z|x&z', '!y&(x|z)|x&z', '!y|x&z', '!x&!z&y|!y&x|x&z', '!(x&y|z)|x&z', '!x&!z&y|!y&(x|z)|x&z', '!x&!z|!y|x&z', '!y&x|y&z', '!(!x&z|y)|y&z', '!y&x|z', '!y|z', '!x&y|!y&x|x&z', '!x&!z|!y&x|y&z', '!x&y|!y&x|z', '!x|!y|z', 'x&y', '!(x|y|z)|x&y', '!x&!y&z|x&y', '!x&!y|x&y', '!z&y|x&y', '!x&!z|x&y', '!x&!y&z|!z&y|x&y', '!(x|y&z)|x&y', '(x|z)&y', '!(x|y|z)|(x|z)&y', '!x&z|x&y', '!(!z&y|x)|x&y', 'y', '!x&!z|y', '!x&z|y', '!x|y', '!z&x|x&y', '!y&!z|x&y', '!x&!y&z|!z&x|x&y', '!(x&z|y)|x&y', '!z&(x|y)|x&y', '!z|x&y', '!x&!y&z|!z&(x|y)|x&y', '!x&!y|!z|x&y', '!z&x|y&z', '!(!x&y|z)|y&z', '!x&z|!z&x|x&y', '!x&!y|!z&x|y&z', '!z&x|y', '!z|y', '!x&z|!z&x|y', '!x|!z|y', '(y|z)&x', '!(x|y|z)|(y|z)&x', '!y&z|x&y', '!(!z&x|y)|x&y', '!z&y|x&z', '!(!y&x|z)|x&z', '!y&z|!z&y|x&y', '!x&!y|!z&y|x&z', '(x|y)&z|x&y', '!(x|y|z)|(x|y)&z|x&y', 'x&y|z', '!x&!y|x&y|z', 'x&z|y', '!x&!z|x&z|y', 'y|z', '!x|y|z', 'x', '!y&!z|x', '!y&z|x', '!y|x', '!z&y|x', '!z|x', '!y&z|!z&y|x', '!y|!z|x', 'x|y&z', '!y&!z|x|y&z', 'x|z', '!y|x|z', 'x|y', '!z|x|y', 'x|y|z', '!x|x'] n = int(input()) for i in range(n): s = input() a = 0 for j in range(8): a += int(s[j] == '1') << j print(f[a]) ```
101,751
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of: * Operation AND ('&', ASCII code 38) * Operation OR ('|', ASCII code 124) * Operation NOT ('!', ASCII code 33) * Variables x, y and z (ASCII codes 120-122) * Parentheses ('(', ASCII code 40, and ')', ASCII code 41) If more than one expression of minimum length exists, you should find the lexicographically smallest one. Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar: E ::= E '|' T | T T ::= T '&' F | F F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z' Input The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000). The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>. Output You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces. Example Input 4 00110011 00000111 11110000 00011111 Output y (y|z)&amp;x !x x|y&amp;z Note The truth table for the second function: <image> Tags: bitmasks, dp, shortest paths Correct Solution: ``` # -*- coding: utf-8 -*- dat = "硼磷碳磷溴硼氧磷氮硫氮氯氟溴硼磷碳硼硫碳氯溴硼磷碳硼硫溴硼磷碳硼氯碳硫溴硼磷碳硼氯溴硼氧硼硫碳硼氯氮磷氮硫碳氯氟溴硼氧磷氮硫碳氯氟溴硼磷碳硫碳氯溴硼氧硼硫碳氯氮硼氯碳硫氮磷氟溴硼磷碳氯溴硼氧硼氯碳硫氮磷氟溴硼磷碳硫溴硼氧硼硫碳氯氮磷氟溴硼磷碳氧硫氮氯氟溴硼磷溴硼硫碳硼氯碳磷溴硼硫碳硼氯溴硼氧硼磷碳硼氯氮磷碳氯氮硫氟溴硼氧磷碳氯氮硫氟溴硼氧硼磷碳硼硫氮磷碳硫氮氯氟溴硼氧磷碳硫氮氯氟溴硼氧硼磷碳硼硫氮磷碳硫氮氯氟氮硼磷碳硼硫碳氯溴硼氧氧磷氮硫氟碳氯氮磷碳硫氟溴硼磷碳硫碳氯氮硼硫碳硼氯碳磷溴硼磷碳硫碳氯氮硼硫碳硼氯溴硼磷碳氯氮硼硫碳硼氯碳磷溴硼磷碳氯氮硼硫碳硼氯溴硼磷碳硫氮硼硫碳硼氯碳磷溴硼磷碳硫氮硼硫碳硼氯溴硼磷碳氧硫氮氯氟氮硼硫碳硼氯碳磷溴硼磷氮硼硫碳硼氯溴硼硫碳磷碳氯溴硼氧硼磷碳氯氮硼氯碳磷氮硫氟溴硼硫碳氯溴硼氧硼氯碳磷氮硫氟溴硼磷碳硼氯碳硫氮硼硫碳磷碳氯溴硼磷碳硼氯氮硼硫碳磷碳氯溴硼磷碳硼氯碳硫氮硼硫碳氯溴硼磷碳硼氯氮硼硫碳氯溴硼磷碳硫碳氯氮硼硫碳磷碳氯溴硼氧硼磷碳氯氮硼氯碳磷氮硫氟氮硼磷碳硫碳氯溴硼氧磷碳硫氟碳氯溴硼氧硼氯碳磷氮硫氟氮硼磷碳氯溴硼磷碳硫氮硼硫碳磷碳氯溴硼氧硼硫碳氯氮磷氟氮硼硫碳磷碳氯溴硼磷碳硫氮硼硫碳氯溴硼磷氮硼硫碳氯溴硼硫碳磷溴硼氧硼磷碳氯氮硫氟溴硼硫碳氧磷氮氯氟溴硼硫溴硼磷碳硼氯碳硫氮硼硫碳磷溴硼磷碳硼氯氮硼硫碳磷溴硼磷碳硼氯碳硫氮硼硫碳氧磷氮氯氟溴硼磷碳硼氯氮硼硫溴硼磷碳硫碳氯氮硼硫碳磷溴硼氧硼磷碳氯氮硫氟氮硼磷碳硫碳氯溴硼磷碳氯氮硼硫碳磷溴硼磷碳氯氮硼硫溴硼磷碳硫氮硼硫碳磷溴硼氧硼磷碳硼硫碳氯氮磷碳硫氟溴硼磷碳氧硫氮氯氟氮硼硫碳磷溴硼磷氮硼硫溴硼氯碳磷碳硫溴硼氧硼磷碳硫氮硼硫碳磷氮氯氟溴硼磷碳硼硫碳氯氮硼氯碳磷碳硫溴硼磷碳硼硫氮硼氯碳磷碳硫溴硼氯碳硫溴硼氧硼硫碳磷氮氯氟溴硼磷碳硼硫碳氯氮硼氯碳硫溴硼磷碳硼硫氮硼氯碳硫溴硼磷碳硫碳氯氮硼氯碳磷碳硫溴硼氧硼磷碳硫氮硼硫碳磷氮氯氟氮硼磷碳硫碳氯溴硼磷碳氯氮硼氯碳磷碳硫溴硼氧硼氯碳硫氮磷氟氮硼氯碳磷碳硫溴硼氧磷碳氯氟碳硫溴硼氧硼硫碳磷氮氯氟氮硼磷碳硫溴硼磷碳氯氮硼氯碳硫溴硼磷氮硼氯碳硫溴硼氯碳磷溴硼氧硼磷碳硫氮氯氟溴硼磷碳硼硫碳氯氮硼氯碳磷溴硼磷碳硼硫氮硼氯碳磷溴硼氯碳氧磷氮硫氟溴硼氯溴硼磷碳硼硫碳氯氮硼氯碳氧磷氮硫氟溴硼磷碳硼硫氮硼氯溴硼磷碳硫碳氯氮硼氯碳磷溴硼氧硼磷碳硫氮氯氟氮硼磷碳硫碳氯溴硼磷碳氯氮硼氯碳磷溴硼氧硼磷碳硼氯碳硫氮磷碳氯氟溴硼磷碳硫氮硼氯碳磷溴硼磷碳硫氮硼氯溴硼磷碳氧硫氮氯氟氮硼氯碳磷溴硼磷氮硼氯溴硼硫碳磷碳氯氮硼氯碳磷碳硫溴硼氧硼磷碳硫氮硼硫碳磷氮氯氟氮硼硫碳磷碳氯溴硼硫碳氯氮硼氯碳磷碳硫溴硼氧硼氯碳磷氮硫氟氮硼氯碳磷碳硫溴硼硫碳磷碳氯氮硼氯碳硫溴硼氧硼硫碳磷氮氯氟氮硼硫碳磷碳氯溴硼硫碳氯氮硼氯碳硫溴硼氧硼硫碳硼氯碳磷氮硫碳氯氟溴硼磷碳硫碳氯氮硼硫碳磷碳氯氮硼氯碳磷碳硫溴硼氧硼磷碳硫氮硼硫碳磷氮氯氟氮硼磷碳硫碳氯氮硼硫碳磷碳氯溴硼氧磷碳硫氟碳氯氮硼氯碳磷碳硫溴硼氧硼氯碳磷氮硫氟氮硼磷碳氯氮硼氯碳磷碳硫溴硼氧磷碳氯氟碳硫氮硼硫碳磷碳氯溴硼氧硼硫碳磷氮氯氟氮硼磷碳硫氮硼硫碳磷碳氯溴硼氧磷碳硫氟碳氯氮硼氯碳硫溴硼磷氮硼硫碳氯氮硼氯碳硫溴硼氧硫碳氯氟碳磷溴硼氧硼磷碳硫氮氯氟氮硼硫碳磷溴硼硫碳氯氮硼氯碳磷溴硼硫氮硼氯碳磷溴硼硫碳磷氮硼氯碳硫溴硼硫碳磷氮硼氯溴硼硫碳氧磷氮氯氟氮硼氯碳硫溴硼硫氮硼氯溴硼氧硫碳氯氟碳磷氮硼磷碳硫碳氯溴硼氧硼磷碳硫氮氯氟氮硼磷碳硫碳氯氮硼硫碳磷溴硼氧磷碳硫氟碳氯氮硼氯碳磷溴硼磷碳氯氮硼硫氮硼氯碳磷溴硼氧磷碳氯氟碳硫氮硼硫碳磷溴硼磷碳硫氮硼硫碳磷氮硼氯溴硼磷碳硫氮硼硫碳氯氮硼氯碳磷溴硼氧磷碳硫碳氯氟溴磷碳硫碳氯溴硼氧磷氮硫氮氯氟氮磷碳硫碳氯溴硼磷碳硼硫碳氯氮磷碳硫碳氯溴硼磷碳硼硫氮磷碳硫碳氯溴硼磷碳硼氯碳硫氮磷碳硫碳氯溴硼磷碳硼氯氮磷碳硫碳氯溴硼氧硼硫碳硼氯氮磷氮硫碳氯氟氮磷碳硫碳氯溴硼氧磷氮硫碳氯氟氮磷碳硫碳氯溴硫碳氯溴硼氧磷氮硫氮氯氟氮硫碳氯溴硼磷碳氯氮硫碳氯溴硼磷碳硼硫氮硫碳氯溴硼磷碳硫氮硫碳氯溴硼磷碳硼氯氮硫碳氯溴硼磷碳氧硫氮氯氟氮硫碳氯溴硼磷氮硫碳氯溴硼硫碳硼氯碳磷氮磷碳硫碳氯溴硼硫碳硼氯氮磷碳硫碳氯溴硼氧硼磷碳硼氯氮磷碳氯氮硫氟氮磷碳硫碳氯溴硼氧磷碳氯氮硫氟氮磷碳硫碳氯溴硼氧硼磷碳硼硫氮磷碳硫氮氯氟氮磷碳硫碳氯溴硼氧磷碳硫氮氯氟氮磷碳硫碳氯溴硼氧硼磷碳硼硫氮磷碳硫氮氯氟氮硼磷碳硼硫碳氯氮磷碳硫碳氯溴硼氧氧磷氮硫氟碳氯氮磷碳硫氟氮磷碳硫碳氯溴硼硫碳硼氯碳磷氮硫碳氯溴硼硫碳硼氯氮硫碳氯溴硼磷碳氯氮硼硫碳硼氯碳磷氮硫碳氯溴硼氧磷碳氯氮硫氟氮硫碳氯溴硼磷碳硫氮硼硫碳硼氯碳磷氮硫碳氯溴硼氧磷碳硫氮氯氟氮硫碳氯溴硼磷碳氧硫氮氯氟氮硼硫碳硼氯碳磷氮硫碳氯溴硼磷氮硼硫碳硼氯氮硫碳氯溴磷碳氯溴硼氧磷氮硫氮氯氟氮磷碳氯溴硼硫碳氯氮磷碳氯溴硼磷碳硼硫氮磷碳氯溴硼磷碳硼氯碳硫氮磷碳氯溴硼磷碳硼氯氮磷碳氯溴硼磷碳硼氯碳硫氮硼硫碳氯氮磷碳氯溴硼氧磷氮硫碳氯氟氮磷碳氯溴氧磷氮硫氟碳氯溴硼氧磷氮硫氮氯氟氮氧磷氮硫氟碳氯溴氯溴硼磷碳硼硫氮氯溴硼磷碳硫氮磷碳氯溴硼氧硼硫碳氯氮磷氟氮磷碳氯溴硼磷碳硫氮氯溴硼磷氮氯溴硼硫碳磷氮磷碳氯溴硼硫碳硼氯氮磷碳氯溴硼硫碳氧磷氮氯氟氮磷碳氯溴硼硫氮磷碳氯溴硼磷碳硼氯碳硫氮硼硫碳磷氮磷碳氯溴硼氧磷碳硫氮氯氟氮磷碳氯溴硼磷碳硼氯碳硫氮硼硫碳氧磷氮氯氟氮磷碳氯溴硼磷碳硼氯氮硼硫氮磷碳氯溴硼硫碳磷氮硫碳氯溴硼氧硼磷碳氯氮硫氟氮硫碳氯溴硼硫碳磷氮氯溴硼硫氮氯溴硼磷碳硫氮硼硫碳磷氮磷碳氯溴硼磷碳硼氯氮硼硫碳磷氮硫碳氯溴硼磷碳硫氮硼硫碳磷氮氯溴硼磷氮硼硫氮氯溴磷碳硫溴硼氧磷氮硫氮氯氟氮磷碳硫溴硼磷碳硼硫碳氯氮磷碳硫溴硼磷碳硼硫氮磷碳硫溴硼氯碳硫氮磷碳硫溴硼磷碳硼氯氮磷碳硫溴硼磷碳硼硫碳氯氮硼氯碳硫氮磷碳硫溴硼氧磷氮硫碳氯氟氮磷碳硫溴氧磷氮氯氟碳硫溴硼氧磷氮硫氮氯氟氮氧磷氮氯氟碳硫溴硼磷碳氯氮磷碳硫溴硼氧硼氯碳硫氮磷氟氮磷碳硫溴硫溴硼磷碳硼氯氮硫溴硼磷碳氯氮硫溴硼磷氮硫溴硼氯碳磷氮磷碳硫溴硼硫碳硼氯氮磷碳硫溴硼磷碳硼硫碳氯氮硼氯碳磷氮磷碳硫溴硼氧磷碳氯氮硫氟氮磷碳硫溴硼氯碳氧磷氮硫氟氮磷碳硫溴硼氯氮磷碳硫溴硼磷碳硼硫碳氯氮硼氯碳氧磷氮硫氟氮磷碳硫溴硼磷碳硼硫氮硼氯氮磷碳硫溴硼氯碳磷氮硫碳氯溴硼氧硼磷碳硫氮氯氟氮硫碳氯溴硼磷碳氯氮硼氯碳磷氮磷碳硫溴硼磷碳硼硫氮硼氯碳磷氮硫碳氯溴硼氯碳磷氮硫溴硼氯氮硫溴硼磷碳氯氮硼氯碳磷氮硫溴硼磷氮硼氯氮硫溴氧硫氮氯氟碳磷溴硼氧磷氮硫氮氯氟氮氧硫氮氯氟碳磷溴硼硫碳氯氮磷碳硫溴硼氧硼氯碳磷氮硫氟氮磷碳硫溴硼氯碳硫氮磷碳氯溴硼氧硼硫碳磷氮氯氟氮磷碳氯溴硼硫碳氯氮硼氯碳硫氮磷碳硫溴硼磷碳硼硫氮硼氯碳硫氮磷碳氯溴氧磷氮硫氟碳氯氮磷碳硫溴硼氧磷氮硫氮氯氟氮氧磷氮硫氟碳氯氮磷碳硫溴磷碳硫氮氯溴硼磷碳硼硫氮磷碳硫氮氯溴磷碳氯氮硫溴硼磷碳硼氯氮磷碳氯氮硫溴硫氮氯溴硼磷氮硫氮氯溴磷溴硼硫碳硼氯氮磷溴硼硫碳氯氮磷溴硼硫氮磷溴硼氯碳硫氮磷溴硼氯氮磷溴硼硫碳氯氮硼氯碳硫氮磷溴硼硫氮硼氯氮磷溴磷氮硫碳氯溴硼硫碳硼氯氮磷氮硫碳氯溴磷氮氯溴硼硫氮磷氮氯溴磷氮硫溴硼氯氮磷氮硫溴磷氮硫氮氯溴硼磷氮磷".split('溴') d1, d2 = "硼碳氮氧氟磷硫氯", "!&|()xyz" for i in range(int(input())): s = dat[eval("0b" + ''.join(list(reversed(input()))))] for i in range(8): s = s.replace(d1[i], d2[i]) print(s) ```
101,752
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` from collections import Counter def contains(a, b): for k in a.keys(): if a[k] > b[k]: return False return True _ = int(input()) letters = input() T = int(input()) memo = {} for t in range(T): name = input() ctr = Counter(name) ctr_encoded = tuple(sorted(ctr.items())) if ctr_encoded in memo: print(memo[ctr_encoded]) continue letters_ctr = Counter() for i in range(len(letters)): letters_ctr[letters[i]] += 1 # ctr[k] <= letters_ctr[k] for all k in ctr if contains(ctr, letters_ctr): print(i + 1) memo[ctr_encoded] = i + 1 break ```
102,072
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` import copy n = int(input()) s = input() d = {} for i in range(n): if s[i] not in d: d[s[i]] = [i] else: d[s[i]].append(i) m = int(input()) for _ in range(m): t = input() dx = {i:0 for i in d} ma = 0 for i in t: ma = max(ma,d[i][dx[i]]) dx[i]+=1 print(ma+1) ```
102,073
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * from fractions import * from bisect import * from heapq import* from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# #vsInput() n=Int() s=input() freq={} q=Int() for i in 'qwertyuiopasdfghjklzxcvbnm': if(s[0]==i): freq[i]=[1] else: freq[i]=[0] for i in range(1,len(s)): for j in 'qwertyuiopasdfghjklzxcvbnm': if(j==s[i]): freq[j].append(freq[j][-1]+1) else: freq[j].append(freq[j][-1]) #print(freq) for _ in range(q): t=input() count={} for i in t: try: count[i]+=1 except: count[i]=1 ans=0 for i in count: ans=max(ans,bisect_left(freq[i],count[i])) print(ans+1) ```
102,074
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` n =int(input()) main = input() dic ={} for i in range(n): if main[i] in dic: dic[main[i]].append(i) else: dic[main[i]]=[i] num = int(input()) for i in range(num): a = 0 name = input() dic_name ={} for i in range(len(name)): if name[i] in dic_name: dic_name[name[i]]+=1 else: dic_name[name[i]]=0 for k in dic_name: a=max(a,dic[k][dic_name[k]]) print(a+1) ```
102,075
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` n=int(input()) s=input() d={} for i in range(len(s)): if(s[i] in d): d[s[i]].append(i+1) else: d[s[i]]=[i+1] for _ in range(int(input())): res=[] s=input() f={} for i in range(len(s)): if(s[i] in f): f[s[i]]+=1 else: f[s[i]]=1 for key,value in f.items(): res.append(d[key][value-1]) print(max(res)) ```
102,076
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` from collections import Counter,defaultdict n=int(input()) s=str(input()) a=defaultdict(list) for i in range(len(s)): a[s[i]].append(i) for j in range(int(input())): t=Counter(input()) #print(t) p=max([a[o][t[o]-1]for o in t]) print(p+1) ```
102,077
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` n=int(input()) s=input() dic={} for i in range(n): if(s[i] in dic): dic[s[i]].append(i+1) else: dic[s[i]]=[i+1] # print(d) q=int(input()) while(q>0): x=input() temp=0 aux={} for i in range(len(x)): if(x[i] in aux): aux[x[i]]+=1 else: aux[x[i]]=1 for i,j in aux.items(): if(temp<=dic[i][j-1]): temp=dic[i][j-1] print(temp) q-=1 ```
102,078
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Tags: binary search, implementation, strings Correct Solution: ``` n = int(input()) l = list(input()) d = dict() for i in set(l): d[i] = ([k for k, n in enumerate(l) if n == i]) for i in range(int(input())): s = input() mx = 0 dc = dict() for i in s: j = dc.get(i, 0) mx = max(mx, d[i][j]) dc[i] = j +1 print(mx+1) ```
102,079
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` # -*- coding: utf-8 -*- # @Date : 2019-07-01 07:44:43 # @Author : raj lath (oorja.halt@gmail.com) # @Link : link # @Version : 1.0.0 import sys sys.setrecursionlimit(10**5+1) inf = int(10 ** 20) max_val = inf min_val = -inf RW = lambda : sys.stdin.readline().strip() RI = lambda : int(RW()) RMI = lambda : [int(x) for x in sys.stdin.readline().strip().split()] RWI = lambda : [x for x in sys.stdin.readline().strip().split()] from collections import defaultdict has = defaultdict(list) lens = RI() given = input() for i, v in enumerate(given): has[v].append(i + 1) nb_word = RI() for i in range(nb_word): answer = 0 current = input() dicts = defaultdict(int) for i,v in enumerate(current): dicts[v] += 1 answer = (max(answer, has[v][dicts[v] - 1] )) print(answer) ``` Yes
102,080
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` import sys inf = float("inf") #from collections import deque, Counter, OrderedDict,defaultdict #from heapq import nsmallest, nlargest, heapify,heappop ,heappush, heapreplace from math import ceil,floor,log,log2,sqrt,factorial,pow,pi,gcd #from bisect import bisect_left,bisect_right # abc='abcdefghijklmnopqrstuvwxyz' # abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25} # mod,MOD=1000000007,998244353 # vow=['a','e','i','o','u'] # dx,dy=[-1,1,0,0],[0,0,1,-1] def get_array(): return list(map(int, sys.stdin.readline().strip().split())) def get_ints(): return map(int, sys.stdin.readline().strip().split()) def input(): return sys.stdin.readline().strip() mydict={chr(i):[] for i in range(97,123)} N=int(input()) name=input() for i in range(N): mydict[name[i]].append(i+1) k=int(input()) for i in range(k): z=list(input()) mydict2=dict() for i in z: mydict2[i]=mydict2.get(i,0)+1 maximum=-1 for i in mydict2: maximum=max(maximum,mydict[i][mydict2[i]-1]) print(maximum) ``` Yes
102,081
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` n = int(input()); s = input(); cnt = [0 for i in range(26)] dp = [[-1 for i in range(n)] for i in range(26)]; for i in range(n): cnt[ord(s[i])-97]+=1; #print(cnt) dp[ord(s[i])-97][cnt[ord(s[i])-97]-1]=i; q = int(input()); for i in range(q): ts = input(); tcnt = [0 for i in range(26)]; for i in range(len(ts)): tcnt[ord(ts[i])-97]+=1; ans = 0; for i in range(26): if(tcnt[i]>0): ans = max(ans,dp[i][tcnt[i]-1]) print(ans+1) ``` Yes
102,082
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` from collections import Counter n = int(input()) a = input() string1 = {'a':[],'b':[],'c':[],'d':[],'e':[],'f':[],'g':[],'h':[],'i':[],'j':[],'k':[],'l':[],'m':[],'n':[],'o':[],'p':[],'q':[],'r':[],'s':[],'t':[],'u':[],'v':[],'w':[],'x':[],'y':[],'z':[]} for i,j in enumerate(a): string1[j].append(i) m = int(input()) for _ in range(m): p = dict(Counter(input())) keys = list(p.keys()) o = 0 for i in keys: x = p[i]-1 y = string1[i][x] o = max(o,y) print(o+1) ``` Yes
102,083
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` n = int(input()) string = input() t = int(input()) for i in range(t): subs = input() dct = {} l = len(subs) temp = [] flag = 1 for i in subs: if i not in string[0:l]: temp.append(i) if temp == []: flag = 0 else: for i in temp: dct[i] = l-1 for i in temp: dct[i] = string.index(i,dct[i]+1) if flag: print(max(dct.values())+1) else: print(l) ``` No
102,084
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` n=int(input()) s=str(input()) m=int(input()) result=[] for i in range(m): sub=str(input()) mini=0 for j in sub: if(s.index(j)>mini): mini=s.index(j) result.append(mini+1) for i in result: print(i) ``` No
102,085
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` #AM.EN.U4CSE19114 question number:1187B n=int(input()) l=[] t=[] k=[] o=1 if(n>=1 and n<=200000): s="" s=input() p=list(s) h=list(s) if len(p)==n: m=int(input()) if(m<=50000 and m>=1): for j in range (m): f="" f=input() l.append(f) for u in range(m): if(len(l[u])<=200000 and len(l[u])>=1): for y in range(len(l[u])): t=list(l[u]) if t[y] in p: k.append(p.index(t[y])) if(t.count(t[y])>p.count(t[y])): o=0 else: o=0 if o==1: print(max(k)+1) o=1 k=[] ``` No
102,086
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The letters shop showcase is a string s, consisting of n lowercase Latin letters. As the name tells, letters are sold in the shop. Letters are sold one by one from the leftmost to the rightmost. Any customer can only buy some prefix of letters from the string s. There are m friends, the i-th of them is named t_i. Each of them is planning to estimate the following value: how many letters (the length of the shortest prefix) would s/he need to buy if s/he wanted to construct her/his name of bought letters. The name can be constructed if each letter is presented in the equal or greater amount. * For example, for s="arrayhead" and t_i="arya" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="harry" 6 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="ray" 5 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="r" 2 letters have to be bought ("arrayhead"). * For example, for s="arrayhead" and t_i="areahydra" all 9 letters have to be bought ("arrayhead"). It is guaranteed that every friend can construct her/his name using the letters from the string s. Note that the values for friends are independent, friends are only estimating them but not actually buying the letters. Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of showcase string s. The second line contains string s, consisting of exactly n lowercase Latin letters. The third line contains one integer m (1 ≤ m ≤ 5 ⋅ 10^4) — the number of friends. The i-th of the next m lines contains t_i (1 ≤ |t_i| ≤ 2 ⋅ 10^5) — the name of the i-th friend. It is guaranteed that ∑ _{i=1}^m |t_i| ≤ 2 ⋅ 10^5. Output For each friend print the length of the shortest prefix of letters from s s/he would need to buy to be able to construct her/his name of them. The name can be constructed if each letter is presented in the equal or greater amount. It is guaranteed that every friend can construct her/his name using the letters from the string s. Example Input 9 arrayhead 5 arya harry ray r areahydra Output 5 6 5 2 9 Submitted Solution: ``` """ Author : co_devil Chirag Garg Institute : JIIT """ from __future__ import division, print_function import itertools, os, sys, threading from collections import deque, Counter, OrderedDict, defaultdict import heapq from math import ceil,floor,log,sqrt,factorial,pow,pi # from bisect import bisect_left,bisect_right # from decimal import *,threading """from io import BytesIO, IOBase if sys.version_info[0] < 3: from __builtin__ import xrange as range from future_builtins import ascii, filter, hex, map, oct, zip else: from builtins import str as __str__ str = lambda x=b'': x if type(x) is bytes else __str__(x).encode() BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._buffer = BytesIO() self._fd = file.fileno() self._writable = 'x' in file.mode or 'r' not in file.mode self.write = self._buffer.write if self._writable else None def read(self): return self._buffer.read() if self._buffer.tell() else os.read(self._fd, os.fstat(self._fd).st_size) def readline(self): while self.newlines == 0: b, ptr = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)), self._buffer.tell() self._buffer.seek(0, 2), self._buffer.write(b), self._buffer.seek(ptr) self.newlines += b.count(b'\n') + (not b) self.newlines -= 1 return self._buffer.readline() def flush(self): if self._writable: os.write(self._fd, self._buffer.getvalue()) self._buffer.truncate(0), self._buffer.seek(0) sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) input = lambda: sys.stdin.readline().rstrip(b'\r\n') def print(*args, **kwargs): sep, file = kwargs.pop('sep', b' '), kwargs.pop('file', sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop('end', b'\n')) if kwargs.pop('flush', False): file.flush() """ def ii(): return int(input()) def si(): return str(input()) def mi(): return map(int,input().split()) def li(): return list(mi()) abc = 'abcdefghijklmnopqrstuvwxyz' abd = {'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25} mod = 1000000007 dx, dy = [-1, 1, 0, 0], [0, 0, 1, -1] def getKey(item): return item[0] def sort2(l): return sorted(l, key=getKey) def d2(n, m, num): return [[num for x in range(m)] for y in range(n)] def isPowerOfTwo(x): return (x and (not (x & (x - 1)))) def decimalToBinary(n): return bin(n).replace("0b", "") def ntl(n): return [int(i) for i in str(n)] def powerMod(x, y, p): res = 1 x %= p while y > 0: if y & 1: res = (res * x) % p y = y >> 1 x = (x * x) % p return res def gcd(x, y): while y: x, y = y, x % y return x # For getting input from input.txt file # sys.stdin = open('input.txt', 'r') # Printing the Output to output.txt file # sys.stdout = open('output.txt', 'w') graph = defaultdict(list) visited = [0] * 1000000 col = [-1] * 1000000 def dfs(v, c): if visited[v]: if col[v] != c: print('-1') exit() return col[v] = c visited[v] = 1 for i in graph[v]: dfs(i, c ^ 1) def bfs(d,v): q=[] q.append(v) visited[v]=1 while len(q)!=0: x=q[0] q.pop(0) for i in d[x]: if visited[i]!=1: visited[i]=1 q.append(i) print(x) print(l) def make_graph(e): d={} for i in range(e): x,y=mi() if x not in d.keys(): d[x]=[y] else: d[x].append(y) if y not in d.keys(): d[y] = [x] else: d[y].append(x) return d def gr2(n): d={} for i in range(n): x,y=mi() if x not in d.keys(): d[x]=[y] else: d[x].append(y) return d def connected_components(graph): seen = set() def dfs(v): vs = set([v]) component=[] while vs: v = vs.pop() seen.add(v) vs |= set(graph[v]) - seen component.append(v) return component ans=[] for v in graph: if v not in seen: d=dfs(v) ans.append(d) return ans n=ii() s=list(si()) d={} for i in range(1,27): d[chr(96+i)]=[] for i in range(n): d[s[i]].append(i+1) m=ii() for j in range(m): x=si() l=[0]*26 z = d[x[0]][l[ord(x[0])-97]] l[ord(x[0])-97]+=1 for i in range(1,len(x)): if d[x[i]][l[ord(x[i])-97]]>z: z=d[x[i]][l[ord(x[i])-97]] l[ord(x[i])-97]+=1 print(z) ``` No
102,087
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` s1, s2 = map(str, input().split('^')) l1, l2 = 0, 0 for i in range(len(s1)): if s1[i].isdigit(): l1 += int(s1[i]) * (len(s1) - i) for i in range(len(s2)): if s2[i].isdigit(): l2 += int(s2[i]) * (i + 1) if l1 == l2: print('balance') elif l1 > l2: print('left') else: print('right') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` s = input() pivot = s.find('^') value = 0 for i in range(len(s)): if s[i].isdigit(): value += int(s[i]) * (i - pivot) if value < 0: print('left') elif value == 0: print('balance') else: print('right') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` s = input().strip() n = len(s) i = s.find('^') left = 0 right = 0 l = i - 1 r = i + 1 while l >= 0 or r < n: if l >= 0 and s[l] != '=': left += int(s[l])*(i - l) l -= 1 else: l -= 1 if r < n and s[r] != '=': right += int(s[r]) * (r - i) r += 1 else: r += 1 if left == right: print("balance") elif left > right: print("left") else: print("right") ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` a=input() p=a.index('^') c=sum((i-p)*int(y) for i,y in enumerate(a) if y.isdigit()) print([['balance','right'][c>0],'left'][c<0]) ```
102,405
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` s = input() p = s.index('^') f = 0 for i in range(len(s)): if s[i]=='1': f = f-((p-i)*1) elif s[i]=='2': f = f - ((p-i)*2) elif s[i]=='3': f = f - ((p-i)*3) elif s[i]=='4': f = f - ((p-i)*4) elif s[i]=='5': f = f - ((p-i)*5) elif s[i]=='6': f = f - ((p-i)*6) elif s[i]=='7': f = f - ((p-i)*7) elif s[i]=='8': f = f - ((p-i)*8) elif s[i]=='9': f = f - ((p-i)*9) if f<0: print("left") elif f>0: print("right") else: print("balance") ```
102,406
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` s=[n for n in input()] k=s.index('^') a=s[:k][::-1] b=s[k+1:] m=0 for n in range(len(a)): if ord('0')<=ord(a[n])<=ord('9'): m+=int(a[n])*(n+1) p=0 for n in range(len(b)): if ord('0')<=ord(b[n])<=ord('9'): p+=int(b[n])*(n+1) if m==p: print('balance') elif m>p: print('left') elif m<p: print('right') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` a = input() i = 0 r = 0 l = 0 while(a[i] != "^"): i = i+1 k = i for j in range(i): if(a[j]!= "="): l = l +k*int(a[j]) k = k-1 k = 1 i +=1 while(i<len(a)): if(a[i]!= "="): r = r+k*int(a[i]) i = i+1 k = k+1 if(r==l): print("balance") elif(l>r): print("left") else: print("right") ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have a description of a lever as string s. We'll represent the string length as record |s|, then the lever looks as a horizontal bar with weights of length |s| - 1 with exactly one pivot. We will assume that the bar is a segment on the Ox axis between points 0 and |s| - 1. The decoding of the lever description is given below. * If the i-th character of the string equals "^", that means that at coordinate i there is the pivot under the bar. * If the i-th character of the string equals "=", that means that at coordinate i there is nothing lying on the bar. * If the i-th character of the string equals digit c (1-9), that means that at coordinate i there is a weight of mass c on the bar. Your task is, given the lever description, print if it will be in balance or not. Assume that the bar doesn't weight anything. Assume that the bar initially is in balance then all weights are simultaneously put on it. After that the bar either tilts to the left, or tilts to the right, or is in balance. Input The first line contains the lever description as a non-empty string s (3 ≤ |s| ≤ 106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the problem you may need 64-bit integer numbers. Please, do not forget to use them in your programs. Output Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance. Examples Input =^== Output balance Input 9===^==1 Output left Input 2==^7== Output right Input 41^52== Output balance Note As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples: <image> <image> <image> <image> Tags: implementation, math Correct Solution: ``` # -*- coding: utf-8 -*- s1, s2 = input().split('^') s1 = s1[::-1] l1 = sum([(i+1) * int(s1[i]) for i in range(len(s1)) if s1[i] != '=']) l2 = sum([(i+1) * int(s2[i]) for i in range(len(s2)) if s2[i] != '=']) print('balance' if l1==l2 else 'left' if l1>l2 else 'right') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Tags: implementation, strings Correct Solution: ``` import sys from array import array # noqa: F401 def input(): return sys.stdin.buffer.readline().decode('utf-8') n = int(input()) name = {'void': 'void'} errtype = 'errtype' def resolve(t): nest = 0 while t[-1] == '*': nest += 1 t = t[:-1] while t[0] == '&': nest -= 1 t = t[1:] if t not in name: return errtype t = name[t] while nest < 0 and t[-1] == '*': nest += 1 t = t[:-1] if nest < 0: return errtype else: return t + '*' * nest def f(s): if s[:7] == errtype: return errtype else: return s ans = [] for _ in range(n): query = input().split() if query[0] == 'typeof': ans.append(f(resolve(query[1]))) else: name[query[2]] = resolve(query[1]) print(*ans, sep='\n') ```
102,619
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Tags: implementation, strings Correct Solution: ``` #------------------------template--------------------------# import os import sys # from math import * from collections import * # from fractions import * # from heapq import* from bisect import * from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ALPHA='abcdefghijklmnopqrstuvwxyz' M=10**9+7 EPS=1e-6 def Ceil(a,b): return a//b+int(a%b>0) def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() def get(s): if(s=="void" or s=='errtype'): return (s,0) c1,c2=0,0 l=0 while(s[l]=='&'): c1+=1 l+=1 r=len(s)-1 while(s[r]=='*'): c2+=1 r-=1 if(r<l): return get('errtype') here=c2-c1+cat[s[l:r+1]][1] # print(s[l:r+1]) ans=get(cat[s[l:r+1]][0]) ans=(ans[0],ans[1]+here) return ans n=Int() cat=defaultdict(lambda : ('errtype',0)) cat['void']=('void',0) for i in range(n): query=input() if('typeof' in query): _,var=query.split() ans=get(var) if(ans[1]<0 or ans[0]=='errtype'): ans=('errtype',0) print(ans[0],'*'*ans[1],sep="") else: _,ty,var=query.split() ans=get(ty) # print(ans) if(ans[1]<0 or ans[0]=='errtype'): ans=('errtype',0) cat[var]=ans ```
102,620
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Tags: implementation, strings Correct Solution: ``` n=int(input()) def Ref(v): stars=0 ands=0 nam="" for item in v: if(item=='*'): stars+=1 elif(item=='&'): ands+=1 else: nam+=item if(nam not in T): return "errtype" x=T[nam] if(x=="errtype"): return str(x) x+=stars x-=ands if(x<0): return "errtype" return x T={'void':0} for i in range(n): s=input() if(s[4]=='d'): s=s[8:].split() v=str(s[0]) name=str(s[1]) T[name]=Ref(v) else: s=s[7:] x=Ref(str(s)) if(x=="errtype"): print(x) else: print("void"+("*"*x)) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Tags: implementation, strings Correct Solution: ``` types = {'void':'void', 'errtype':'errtype'} def getRealType(type_expr): expr_type = type_expr.strip('&*') full_type_name = type_expr.replace(expr_type, types.get(expr_type, "errtype")) base_type = full_type_name.strip('&*') if base_type == "void": addr_count = full_type_name.count('*') deref_count = full_type_name.count('&') if deref_count > addr_count: return "errtype" return base_type + "*" * (addr_count - deref_count) else: return "errtype" def setTypeAlias(type_expr, alias_name): types[alias_name] = getRealType(type_expr) n = int(input()) for _ in range(n): operator = input().split() command = operator[0] if command == "typedef": setTypeAlias(operator[1], operator[2]) else: print(getRealType(operator[1])) # Made By Mostafa_Khaled ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Tags: implementation, strings Correct Solution: ``` types = {'void':'void', 'errtype':'errtype'} def getRealType(type_expr): expr_type = type_expr.strip('&*') full_type_name = type_expr.replace(expr_type, types.get(expr_type, "errtype")) base_type = full_type_name.strip('&*') if base_type == "void": addr_count = full_type_name.count('*') deref_count = full_type_name.count('&') if deref_count > addr_count: return "errtype" return base_type + "*" * (addr_count - deref_count) else: return "errtype" def setTypeAlias(type_expr, alias_name): types[alias_name] = getRealType(type_expr) n = int(input()) for _ in range(n): operator = input().split() command = operator[0] if command == "typedef": setTypeAlias(operator[1], operator[2]) else: print(getRealType(operator[1])) ```
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Programmer Vasya is studying a new programming language &K*. The &K* language resembles the languages of the C family in its syntax. However, it is more powerful, which is why the rules of the actual C-like languages are unapplicable to it. To fully understand the statement, please read the language's description below carefully and follow it and not the similar rules in real programming languages. There is a very powerful system of pointers on &K* — you can add an asterisk to the right of the existing type X — that will result in new type X * . That is called pointer-definition operation. Also, there is the operation that does the opposite — to any type of X, which is a pointer, you can add an ampersand — that will result in a type &X, to which refers X. That is called a dereference operation. The &K* language has only two basic data types — void and errtype. Also, the language has operators typedef and typeof. * The operator "typedef A B" defines a new data type B, which is equivalent to A. A can have asterisks and ampersands, and B cannot have them. For example, the operator typedef void** ptptvoid will create a new type ptptvoid, that can be used as void**. * The operator "typeof A" returns type of A, brought to void, that is, returns the type void**...*, equivalent to it with the necessary number of asterisks (the number can possibly be zero). That is, having defined the ptptvoid type, as shown above, the typeof ptptvoid operator will return void**. An attempt of dereferencing of the void type will lead to an error: to a special data type errtype. For errtype the following equation holds true: errtype* = &errtype = errtype. An attempt to use the data type that hasn't been defined before that will also lead to the errtype. Using typedef, we can define one type several times. Of all the definitions only the last one is valid. However, all the types that have been defined earlier using this type do not change. Let us also note that the dereference operation has the lower priority that the pointer operation, in other words &T * is always equal to T. Note, that the operators are executed consecutively one by one. If we have two operators "typedef &void a" and "typedef a* b", then at first a becomes errtype, and after that b becomes errtype* = errtype, but not &void* = void (see sample 2). Vasya does not yet fully understand this powerful technology, that's why he asked you to help him. Write a program that analyzes these operators. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of operators. Then follow n lines with operators. Each operator is of one of two types: either "typedef A B", or "typeof A". In the first case the B type differs from void and errtype types, and besides, doesn't have any asterisks and ampersands. All the data type names are non-empty lines of no more than 20 lowercase Latin letters. The number of asterisks and ampersands separately in one type in any operator does not exceed 10, however if we bring some types to void with several asterisks, their number may exceed 10. Output For every typeof operator print on the single line the answer to that operator — the type that the given operator returned. Examples Input 5 typedef void* ptv typeof ptv typedef &amp;&amp;ptv node typeof node typeof &amp;ptv Output void* errtype void Input 17 typedef void* b typedef b* c typeof b typeof c typedef &amp;b b typeof b typeof c typedef &amp;&amp;b* c typeof c typedef &amp;b* c typeof c typedef &amp;void b typeof b typedef b******* c typeof c typedef &amp;&amp;b* c typeof c Output void* void** void void** errtype void errtype errtype errtype Note Let's look at the second sample. After the first two queries typedef the b type is equivalent to void*, and с — to void**. The next query typedef redefines b — it is now equal to &b = &void* = void. At that, the с type doesn't change. After that the с type is defined as &&b* = &&void* = &void = errtype. It doesn't influence the b type, that's why the next typedef defines c as &void* = void. Then the b type is again redefined as &void = errtype. Please note that the c type in the next query is defined exactly as errtype******* = errtype, and not &void******* = void******. The same happens in the last typedef. Submitted Solution: ``` #------------------------template--------------------------# import os import sys # from math import * from collections import * # from fractions import * # from heapq import* from bisect import * from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ALPHA='abcdefghijklmnopqrstuvwxyz' M=10**9+7 EPS=1e-6 def Ceil(a,b): return a//b+int(a%b>0) def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() def get(s): if(s=="void" or s=='errtype'): return (s,0) c1,c2=0,0 l=0 while(s[l]=='&'): c1+=1 l+=1 r=len(s)-1 while(s[r]=='*'): c2+=1 r-=1 if(r<l): return get('errtype') here=c2-c1+cat[s[l:r+1]][1] # print(s[l:r+1]) ans=get(cat[s[l:r+1]][0]) ans=(ans[0],ans[1]+here) return ans n=Int() cat=defaultdict(lambda : ('errtype',0)) cat['void']=('void',0) for i in range(n): query=input() if('typeof' in query): _,var=query.split() ans=get(var) if(ans[1]<0 or ans[0]=='errtype'): ans=('errtype',0) print(ans[0],'*'*ans[1]) else: _,ty,var=query.split() ans=get(ty) # print(ans) if(ans[1]<0 or ans[0]=='errtype'): ans=('errtype',0) cat[var]=ans ``` No
102,624
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6
Provide tags and a correct Python 3 solution for this coding contest problem. When Serezha was three years old, he was given a set of cards with letters for his birthday. They were arranged into words in the way which formed the boy's mother favorite number in binary notation. Serezha started playing with them immediately and shuffled them because he wasn't yet able to read. His father decided to rearrange them. Help him restore the original number, on condition that it was the maximum possible one. Input The first line contains a single integer n (1 ⩽ n ⩽ 10^5) — the length of the string. The second line contains a string consisting of English lowercase letters: 'z', 'e', 'r', 'o' and 'n'. It is guaranteed that it is possible to rearrange the letters in such a way that they form a sequence of words, each being either "zero" which corresponds to the digit 0 or "one" which corresponds to the digit 1. Output Print the maximum possible number in binary notation. Print binary digits separated by a space. The leading zeroes are allowed. Examples Input 4 ezor Output 0 Input 10 nznooeeoer Output 1 1 0 Note In the first example, the correct initial ordering is "zero". In the second example, the correct initial ordering is "oneonezero". Tags: implementation, sortings, strings Correct Solution: ``` length = int(input()) string = input() contador_0 = 0 contador_1 = 0 for letter in string: if letter == 'z': contador_0 += 1 elif letter == 'n': contador_1 += 1 string = '' for contador in range(contador_1): string += '1 ' for contador in range(contador_0): string += '0 ' string=''.join(list(string)[:-1]) print(string) ```
103,001
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` m=1000000007 s=input() if(s.count('w') or s.count('m')): print(0) else: dp=[1,1] n=len(s) for i in range(1,n): if(s[i]==s[i-1] and (s[i]=='u' or s[i]=='n')): dp.append((dp[i]+dp[i-1])%m) else: dp.append(dp[i]%m) #print(dp) print(dp[-1]%m) ```
103,010
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` f = [1, 2] const = 10 ** 9 + 1 s = input() if "m" in s or "w" in s: print(0) else: ans = 1 const = 10 ** 9 + 7 check = False count = 0 if s[0] == "u" or s[0] == "n": check = True count = 1 for i in range(1, len(s)): f.append((f[-1] + f[-2]) % const) if s[i] == s[i - 1]: count += 1 elif check: ans = (ans * f[count - 1]) % const count = 0 check = False if s[i] == "u": count = 1 check = "u" elif s[i] == "n": count = 1 check = "n" else: check = False count = 0 elif s[i] == "u": count = 1 check = "u" elif s[i] == "n": count = 1 check = "n" else: check = False count = 0 if check: ans = (ans * f[count - 1]) % const print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` # import sys # input = sys.stdin.readline s = input() n = len(s) A = [] mod = 10**9+7 L = [0,1,2] for i in range(10**5+3): L.append((L[-1]+L[-2]) % mod) nn=0 uu=0 for i in range(n): if s[i] == "n": if nn == 0: nn = 1 A.append(1) else: A[-1] += 1 else: nn = 0 if s[i] == "u": if uu == 0: uu = 1 A.append(1) else: A[-1] += 1 else: uu = 0 ans = 1 for i in range(len(A)): ans = (ans * L[A[i]]) % mod if s.count("m") > 0 or s.count("w") > 0: ans = 0 print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` mod = 10**9+7 def cmb(n, r, mod=mod): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod NN = 10**5 # 使うデータによって変える g1 = [1, 1] # 元テーブル g2 = [1, 1] #逆元テーブル inverse = [0, 1] #逆元テーブル計算用テーブル for i in range( 2, NN + 1 ): g1.append( ( g1[-1] * i ) % mod ) inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod ) g2.append( (g2[-1] * inverse[-1]) % mod ) import sys input = sys.stdin.readline S = input().rstrip() N = len(S) pre = '-1' ans = 1 A = [] c = 0 for s in S: if s == 'm' or s == 'w': ans = 0 break if s == 'n': if pre == 'n': c += 1 else: if c > 1: A.append(c) c = 1 elif s == 'u': if pre == 'u': c += 1 else: if c > 1: A.append(c) c = 1 else: if c > 1: A.append(c) c = 0 pre = s A.append(c) if ans == 0: print(0) else: for a in A: tmp = 1 n, m = a-1, 1 while n >= m: tmp += cmb(n, m) tmp %= mod n -= 1 m += 1 ans = ans * tmp % mod print(ans) ```
103,013
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` s = input() s_ct = 0 n_ct = 0 ans = [] dp = [0 for _ in range(len(s)+5)] dp[0] = 1 dp[1] = 1 dp[2] = 2 a = 1 for i in range(3,len(dp)): dp[i] = (dp[i-1]+dp[i-2])%(10**9+7 ) for i in range(len(s)): if(s[i]=='m'): a = 0 if(s[i]=='w'): a=0 if(s[i]=='u'): if n_ct: ans.append(n_ct) n_ct = 0 s_ct+=1 elif s[i] == 'n': if s_ct: ans.append(s_ct) s_ct = 0 n_ct+=1 else: if s_ct: ans.append(s_ct) s_ct = 0 if n_ct: ans.append(n_ct) n_ct = 0 if s_ct: ans.append(s_ct) s_ct = 0 if n_ct: ans.append(n_ct) n_ct = 0 for i in ans: a = (a*dp[i])%(10**9 + 7) print(a) ```
103,014
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` import os import sys from io import BytesIO, IOBase def main(): import bisect import math # import itertools # import heapq # from queue import PriorityQueue, LifoQueue, SimpleQueue # import sys.stdout.flush() use for interactive problems alpha = 'abcdefghijklmnopqrstuvwxyz' ALPHA = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' inf = 1e17 mod = 10 ** 9 + 7 # Max = 10**6 # primes = [] # prime = [True for i in range(10**6+1)] # p = 2 # while (p * p <= Max+1): # # # If prime[p] is not # # changed, then it is a prime # if (prime[p] == True): # # # Update all multiples of p # for i in range(p * p, Max+1, p): # prime[i] = False # p += 1 # # for p in range(2, Max+1): # if prime[p]: # primes.append(p) def factorial(n): f = 1 for i in range(1, n + 1): f = (f * i) % mod # Now f never can # exceed 10^9+7 return f def ncr(n, r): # initialize numerator # and denominator num = den = 1 for i in range(r): num = (num * (n - i)) % mod den = (den * (i + 1)) % mod return (num * pow(den, mod - 2, mod)) % mod def solve(s): if 'w' in s or 'm' in s: return 0 dp = [1,1] for i in range(1,len(s)) : if s[i] == s[i-1] == 'u' or s[i] == s[i-1] == 'n': dp.append((dp[-1]+dp[-2])%mod) else: dp.append(dp[-1]) return dp[-1] % mod pass t = 1#int(input()) ans = [] for _ in range(1): # n = int(input()) # n,k = map(int, input().split()) # arr = [int(x) for x in input().split()] # queries = [int(x) for x in input().split()] # arr = list(input()) s = input() # t = input() # customers = [] # for i in range(n): # customers.append([int(x) for x in input().split()]) # k = int(input()) # s = [int(x) for x in input().split()] # qs = [] # for j in range(q): # r,c = map(int,input().split()) # qs.append((r,c)) ans.append(solve(s)) for j in range(len(ans)): #print('Case #' + str(j + 1) + ": " + str(ans[j])) print(ans[j]) pass # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
103,015
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` s = input() L = [0] * (len(s) + 1) inf = 1000000007 L[0] = 1 L[1] = 1 for i in range(1, len(s)): if s[i] == 'm' or s[i] == 'w': break if s[i] == 'u': if s[i - 1] == 'u': L[i + 1] = (L[i] + L[i - 1]) % inf else: L[i + 1] = L[i] elif s[i] == 'n': if s[i - 1] == 'n': L[i + 1] = (L[i] + L[i - 1]) % inf else: L[i + 1] = L[i] else: L[i + 1] = L[i] if s[0] == 'm' or s[0] == 'w': L[len(s)] = 0 print(L[len(s)]) ```
103,016
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. Tags: dp Correct Solution: ``` import sys # def recur(pre,p,pos,maxx,temp): # if pos == len(pre): # maxx[0] = max(maxx[0],temp) # return # for i in range(0,p+1): # if i < len(pre[pos]) : # temp = temp + pre[pos][i] # recur(pre,p-i,pos+1,maxx,temp) # temp = temp - pre[pos][i] RI = lambda : [int(x) for x in sys.stdin.readline().split()] ri = lambda : sys.stdin.readline().strip() # for _ in range(int(ri())): mod = 10**9+7 st = ri() dp = [0]*2 dp[1] = 1 for i in range(len(st)): if st[i] == 'm' or st[i] == 'w': dp[1] = 0 break if st[i] == 'n' and st[i-1] == 'n': temp = dp[1] dp[1] = (dp[0]+dp[1])%mod dp[0] = temp elif st[i] == 'u' and st[i-1] == 'u': temp = dp[1] dp[1] = (dp[0]+dp[1])%mod dp[0] = temp else: dp[0] = dp[1] print(dp[1]) ```
103,017
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` from functools import reduce n = int(input()) s1, s2 = str(input()), str(input()) print((10 ** sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)]) - (not reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)], False)) * reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (ord(s2[i]) - ord('0') + 1) if s1[i] == '?' else (10 - ord(s1[i]) + ord('0')) if s2[i] == '?' else 1 for i in range(n)], 1) - (not reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)], False)) * reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (10 - ord(s2[i]) + ord('0')) if s1[i] == '?' else (ord(s1[i]) - ord('0')) + 1 if s2[i] == '?' else 1 for i in range(n)], 1) + (not reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)], False) and not reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)], False)) * reduce(lambda x, y: (x * y) % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)) % 1000000007) ```
103,966
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` n = int(input()) C = 10**9+7 a = input() s = input() d = [[0, 0, 0, 1]] for q in range(n): d.append(d[-1][::]) if a[q] != '?' and s[q] != '?': if int(a[q]) < int(s[q]): d[-1][1] = d[-1][3] = 0 d[-1][0] += d[-2][3] d[-1][2] += d[-2][1] elif int(a[q]) > int(s[q]): d[-1][0] = d[-1][3] = 0 d[-1][1] += d[-2][3] d[-1][2] += d[-2][0] elif s[q] != '?': d[-1][2] *= 10 d[-1][0] += d[-2][3] d[-1][1] += d[-2][3] d[-1][0] *= int(s[q])+1 d[-1][1] *= 10-int(s[q]) d[-1][0] -= d[-2][3] d[-1][1] -= d[-2][3] d[-1][2] += d[-2][0]*(9-int(s[q]))+d[-2][1]*int(s[q]) elif a[q] != '?': d[-1][2] *= 10 d[-1][0] += d[-2][3] d[-1][1] += d[-2][3] d[-1][1] *= int(a[q]) + 1 d[-1][0] *= 10 - int(a[q]) d[-1][0] -= d[-2][3] d[-1][1] -= d[-2][3] d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q]) else: d[-1][3] *= 10 d[-1][2] *= 100 d[-1][0] *= 55 d[-1][1] *= 55 d[-1][0] += d[-2][3]*45 d[-1][1] += d[-2][3]*45 d[-1][2] += d[-2][0]*45+d[-2][1]*45 d[-1][0] %= C d[-1][1] %= C d[-1][2] %= C d[-1][3] %= C print(d[-1][2]) ```
103,967
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` from functools import reduce n = int(input()) s1, s2 = str(input()), str(input()) b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)], False) b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)], False) s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)]) ans1 = reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (ord(s2[i]) - ord('0') + 1) if s1[i] == '?' else (10 - ord(s1[i]) + ord('0')) if s2[i] == '?' else 1 for i in range(n)], 1) ans2 = reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (10 - ord(s2[i]) + ord('0')) if s1[i] == '?' else (ord(s1[i]) - ord('0')) + 1 if s2[i] == '?' else 1 for i in range(n)], 1) ans3 = reduce(lambda x, y: (x * y) % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1) print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and not b2) * ans3) % 1000000007) # Made By Mostafa_Khaled ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` #!/usr/bin/python3 def build(n, s, t): ans = 1 for i in range(n): if s[i] == '?' and t[i] == '?': ans = (55 * ans) % (10 ** 9 + 7) elif s[i] == '?': ans = ((ord(t[i]) - ord('0') + 1) * ans) % (10 ** 9 + 7) elif t[i] == '?': ans = ((ord('9') - ord(s[i]) + 1) * ans) % (10 ** 9 + 7) return ans n = int(input()) s = input() t = input() sltt = True tlts = True qm = 0 cqm = 0 for i in range(n): if t[i] == '?': qm += 1 if s[i] == '?': qm += 1 if t[i] == '?' and s[i] == '?': cqm += 1 if t[i] == '?' or s[i] == '?': continue if ord(s[i]) < ord(t[i]): tlts = False if ord(t[i]) < ord(s[i]): sltt = False if not sltt and not tlts: print(pow(10, qm, 10 ** 9 + 7)) elif sltt and tlts: print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 + 7)) elif sltt: print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t)) % (10 ** 9 + 7)) else: print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7)) ```
103,969
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` import sys mod = 1000000007 n = int(input()) s1 = input() s2 = input() flag1 = 0 flag2 = 0 for i in range(n): if s1[i] != "?" and s2[i] != "?" and s1[i] > s2[i]: flag1 = 1 if s1[i] != "?" and s2[i] != "?" and s1[i] < s2[i]: flag2 = 1 if flag1 and flag2: ans = 1 for i in range(n): if s1[i] == "?": ans *= 10 ans %= mod for i in range(n): if s2[i] == "?": ans *= 10 ans %= mod print (ans % mod) sys.exit(0) if not(flag1) and not(flag2): ans1 = 1 ans2 = 1 x = 0 al = 1 for i in range(n): if s1[i] == "?" and s2[i] == "?": x += 1 for i in range(n): if s1[i] == "?": al *= 10 al %= mod for i in range(n): if s2[i] == "?": al *= 10 al %= mod for i in range(n): if s1[i] == "?" and s2[i] == "?": ans1 *= 55 ans1 %= mod elif s1[i] == "?": ans1 *= 10 - int(s2[i]) ans1 %= mod elif s2[i] == "?": ans1 *= int(s1[i]) + 1 ans1 %= mod s1, s2 = s2, s1 for i in range(n): if s1[i] == "?" and s2[i] == "?": ans2 *= 55 ans2 %= mod elif s1[i] == "?": ans2 *= 10 - int(s2[i]) ans2 %= mod elif s2[i] == "?": ans2 *= int(s1[i]) + 1 ans2 %= mod y = 1 for i in range(x): y *= 10 y %= mod print ((al - (ans1 + ans2 - y)) % mod) sys.exit(0) if flag2: s1, s2 = s2, s1 ans = 1 al = 1 for i in range(n): if s1[i] == "?": al *= 10 al %= mod for i in range(n): if s2[i] == "?": al *= 10 al %= mod for i in range(n): if s1[i] == "?" and s2[i] == "?": ans *= 55 ans %= mod elif s1[i] == "?": ans *= 10 - int(s2[i]) ans %= mod elif s2[i] == "?": ans *= int(s1[i]) + 1 ans %= mod print ((al - ans) % mod) ```
103,970
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Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` from functools import reduce n = int(input()) s1, s2 = str(input()), str(input()) b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)], False) b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)], False) s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)]) ans1 = reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (ord(s2[i]) - ord('0') + 1) if s1[i] == '?' else (10 - ord(s1[i]) + ord('0')) if s2[i] == '?' else 1 for i in range(n)], 1) ans2 = reduce(lambda x, y: (x * y) % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else (10 - ord(s2[i]) + ord('0')) if s1[i] == '?' else (ord(s1[i]) - ord('0')) + 1 if s2[i] == '?' else 1 for i in range(n)], 1) ans3 = reduce(lambda x, y: (x * y) % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1) print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and not b2) * ans3) % 1000000007) ```
103,971
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` from functools import reduce n, s1, s2, f1, f2 = int(input()), str(input()), str(input()), lambda x: reduce((lambda a, b: (a * b) % 1000000007), x, 1), lambda x: reduce((lambda a, b: a or b), x, False) print((10 ** sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)]) - (not f2([s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)])) * f1([55 if s1[i] == '?' and s2[i] == '?' else (ord(s2[i]) - ord('0') + 1) if s1[i] == '?' else (10 - ord(s1[i]) + ord('0')) if s2[i] == '?' else 1 for i in range(n)]) - (not f2([s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)])) * f1([55 if s1[i] == '?' and s2[i] == '?' else (10 - ord(s2[i]) + ord('0')) if s1[i] == '?' else (ord(s1[i]) - ord('0')) + 1 if s2[i] == '?' else 1 for i in range(n)]) + (not f2([s1[i] != '?' and s2[i] != '?' and ord(s1[i]) < ord(s2[i]) for i in range(n)]) and not f2([s1[i] != '?' and s2[i] != '?' and ord(s1[i]) > ord(s2[i]) for i in range(n)])) * f1([10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)])) % 1000000007) ```
103,972
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Yaroslav thinks that two strings s and w, consisting of digits and having length n are non-comparable if there are two numbers, i and j (1 ≤ i, j ≤ n), such that si > wi and sj < wj. Here sign si represents the i-th digit of string s, similarly, wj represents the j-th digit of string w. A string's template is a string that consists of digits and question marks ("?"). Yaroslav has two string templates, each of them has length n. Yaroslav wants to count the number of ways to replace all question marks by some integers in both templates, so as to make the resulting strings incomparable. Note that the obtained strings can contain leading zeroes and that distinct question marks can be replaced by distinct or the same integers. Help Yaroslav, calculate the remainder after dividing the described number of ways by 1000000007 (109 + 7). Input The first line contains integer n (1 ≤ n ≤ 105) — the length of both templates. The second line contains the first template — a string that consists of digits and characters "?". The string's length equals n. The third line contains the second template in the same format. Output In a single line print the remainder after dividing the answer to the problem by number 1000000007 (109 + 7). Examples Input 2 90 09 Output 1 Input 2 11 55 Output 0 Input 5 ????? ????? Output 993531194 Note The first test contains no question marks and both strings are incomparable, so the answer is 1. The second test has no question marks, but the given strings are comparable, so the answer is 0. Tags: combinatorics, dp Correct Solution: ``` n = int(input()) a = input() b = input() mod = int(1e9+7) x, y, z = 1, 1, 1 for i in range(n): if a[i] == '?' and b[i] == '?': x = (x * 55) % mod y = (y * 55) % mod z = (z * 10) % mod elif a[i] == '?': x = (x * (10 - int(b[i]))) % mod y = (y * (int(b[i]) + 1)) % mod elif b[i] == '?': x = (x * (int(a[i]) + 1)) % mod y = (y * (10 - int(a[i]))) % mod else: if int(a[i]) < int(b[i]): x = 0 if int(a[i]) > int(b[i]): y = 0 if a[i] != b[i]: z = 0 res = pow(10, a.count('?') + b.count('?'), mod) print((res - x - y + z) % mod) ```
103,973
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` s = str(input()) ll = sum(map(str.islower, s)) ul = sum(map(str.isupper, s)) if ul > ll: print(s.upper()) else: print(s.lower()) ```
105,704
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` a = input() l = len(a) count = 0 for i in a: if i.isupper(): count += 1 if count <= int(l/2): print(a.lower()) else: print(a.upper()) ```
105,705
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` s=list(input()) p="" l=[] x=[] for i in range(len(s)): if s[i]==s[i].upper(): l.append(s[i]) elif s[i]==s[i].lower(): x.append(s[i]) if len(l)>len(x): print(p.join(s).upper()) else: print(p.join(s).lower()) ```
105,706
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` word = input() uppercases = 0 lowercases = 0 for letter in word: if letter.upper() == letter: uppercases += 1 else: lowercases += 1 if uppercases > lowercases: print(word.upper()) else: print(word.lower()) ```
105,707
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` s=input();print(s.upper() if sum(1 for c in s if c.isupper())>sum(1 for c in s if c.islower())else s.lower()) ```
105,708
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` w = input() upp = 0 low = 0 for i in w: if i.isupper() == True: upp += 1 else: low += 1 if upp <= low: print(w.lower()) else: print(w.upper()) ```
105,709
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` n=input() l=0 u=0 for i in range(len(n)): if n[i].islower(): l+=1 elif n[i].isupper(): u+=1 if l>u: print(n.lower()) elif l<u: print(n.upper()) else: print(n.lower()) ```
105,710
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. Input The first line contains a word s — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. Output Print the corrected word s. If the given word s has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. Examples Input HoUse Output house Input ViP Output VIP Input maTRIx Output matrix Tags: implementation, strings Correct Solution: ``` word = str(input()) sumUppercaseLetters = 0 sumLowercaseLetters = 0 for i in word: if i.isupper(): sumUppercaseLetters += 1 elif i.islower(): sumLowercaseLetters += 1 if sumUppercaseLetters > sumLowercaseLetters: print(word.upper()) elif sumLowercaseLetters > sumUppercaseLetters: print(word.lower()) else: print(word.lower()) ```
105,711
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` s = input() i = s[1:].find('at') + 1 s = s[:i] + '@' + s[i+2:] while True: i = s[1:].find('dot') if i == -1: break i += 1 if i+3 == len(s): break s = s[:i] + '.' + s[i+3:] print(s) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` s=input() at=s.find('at',1) s=s[:at]+'@'+s[at+2:] pos=1 while 1: ns='' dot=s.find('dot',pos,-1) if dot==-1: break ns+=s[:dot] ns+='.' pos=dot+1 ns+=s[dot+3:] s=ns print(s) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` s=input() if s[:3]=="dot" or s[:2]=="at" or s[len(s)-2:]=="at" or s[len(s)-3:]=="dot": if s[:3]=="dot": t=s[3:] a=t.split('dot') l=".".join(a) b=l.find("at") o=l[:b]+"@"+l[b+2:] q="dot"+o if q[-1]==".": a=q[:len(q)-1] s=a+"dot" elif q[-1]=="@": a=q[:len(q)-1] s=a+"at" else: s=q if s[:2]=="at": t=s[2:] a=t.split('dot') l=".".join(a) b=l.find('at') o=l[:b]+"@"+l[b+2:] q="at"+o if q[-1]==".": a=q[:len(q)-1] s=a+"dot" elif q[-1]=="@": a=q[:len(q)-1] s=a+"at" else: s=q if s[len(s)-3:]=="dot" and s[:3]!="dot" and s[:2]!="at": t=s[:len(s)-3] a=t.split('dot') l=".".join(a) b=l.find('at') q=l[:b]+"@"+l[b+2:] s=q+"dot" if s[len(s)-2:]=="at" and s[:3]!="dot" and s[:2]!="at": t=s[:len(s)-2] a=t.split('dot') l=".".join(a) b=l.find('at') q=l[:b]+"@"+l[b+2:] s=q+"at" print(s) else: a=s.split('dot') l=".".join(a) b=l.find('at') q=l[:b]+"@"+l[b+2:] print(q) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` from sys import stdin input=stdin.readline voiceEmail = input() dotReplaced = voiceEmail[1:len(voiceEmail) - 2].replace('dot', '.') voiceEmail = voiceEmail[0] + dotReplaced + voiceEmail[len(voiceEmail) - 2:] atReplaced = voiceEmail[1:len(voiceEmail) - 2].replace('at', '@', 1) voiceEmail = voiceEmail[0] + atReplaced + voiceEmail[len(voiceEmail) - 2:] print(voiceEmail) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` import sys from array import array # noqa: F401 def input(): return sys.stdin.buffer.readline().decode('utf-8') s = input().rstrip() ans = s[0] suf = s[-1] s = s[1:-1] at_flag = 0 while s: if s[:3] == 'dot': ans += '.' s = s[3:] elif not at_flag and s[:2] == 'at': ans += '@' at_flag = 1 s = s[2:] else: ans += s[0] s = s[1:] print(ans + suf) ```
106,512
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` import re import sys exit=sys.exit from bisect import bisect_left as bsl,bisect_right as bsr from collections import Counter,defaultdict as ddict,deque from functools import lru_cache cache=lru_cache(None) from heapq import * from itertools import * from math import inf from pprint import pprint as pp enum=enumerate ri=lambda:int(rln()) ris=lambda:list(map(int,rfs())) rln=sys.stdin.readline rl=lambda:rln().rstrip('\n') rfs=lambda:rln().split() cat=''.join catn='\n'.join mod=1000000007 d4=[(0,-1),(1,0),(0,1),(-1,0)] d8=[(-1,-1),(0,-1),(1,-1),(-1,0),(1,0),(-1,1),(0,1),(1,1)] ######################################################################## def solve(): s=rl() t=s[1:-1] t=t.replace('at','@',1) t=t.replace('dot','.') return s[0]+t+s[-1] print(solve()) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` def main(): desc = input() chunk = desc[1:-1] chunk = chunk.replace("at", "@", 1) chunk = chunk.replace("dot", ".") print(desc[0] + chunk + desc[-1]) main() ```
106,514
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Tags: expression parsing, implementation Correct Solution: ``` #!/bin/python email = input() m = {'@' : 'at', '.' : 'dot'} replaced = '' addAtLast = False sep = [] def removeFirstLast(ch): global replaced, addAtLast,sep, email if m[ch] in email: if sep[0] == '': del sep[0] replaced = m[ch] + sep[0] else: replaced = sep[0] if len(sep)>0: if sep[-1] == '': del sep[-1] addAtLast = True else: replaced = sep[0] def addLast(ch) : global replaced, addAtLast if addAtLast : replaced += m[ch] #Code Starts from here : #First replacing all the dots sep = email.split(m['.']) removeFirstLast('.') for word in sep [1:]: replaced += '.' + word addLast('.') #Next replacing all the ats email = replaced replaced = '' addAtLast = False sep = email.split(m['@']) removeFirstLast('@') #If there are more than 1 @ : count = 0 for word in sep[1:] : if count<1 : replaced+= '@' + word count+=1 else: replaced+= 'at' + word addLast('@') print (replaced) ```
106,515
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` s = input() # don't start at first character! # replace first occurance of 'at' with '@' s = s[0] + s[1:].replace("at", "@", 1) # replace the last 'dot' with '.' s = s[0] + s[1:-1].replace("dot", ".") + s[-1] print(s) ``` Yes
106,516
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` """ #If FastIO not needed, use this and don't forget to strip #import sys, math #input = sys.stdin.readline """ import os import sys from io import BytesIO, IOBase import heapq as h from bisect import bisect_left, bisect_right import time from types import GeneratorType BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): import os self.os = os self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: self.os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") from collections import defaultdict as dd, deque as dq, Counter as dc import math, string start_time = time.time() def getInts(): return [int(s) for s in input().split()] def getInt(): return int(input()) def getStrs(): return [s for s in input().split()] def getStr(): return input() def listStr(): return list(input()) def getMat(n): return [getInts() for _ in range(n)] def isInt(s): return '0' <= s[0] <= '9' MOD = 998244353 """ """ def solve(): S = getStr() N = len(S) ans = '' at_flag = True i = 0 while i < N: if S[i:i+3] == 'dot' and i > 0 and i < N-3: ans += '.' i += 3 elif S[i:i+2] == 'at' and at_flag and i > 0: ans += '@' at_flag = False i += 2 else: ans += S[i] i += 1 return ans #for _ in range(getInt()): print(solve()) #solve() #print(time.time()-start_time)á ``` Yes
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` m = input() m = m.replace("at","@") m = m.replace("dot",".") if m[0] == ".": m = "dot" + m[1:] if m[-1] == ".": m = m[:-1] + "dot" if m[0] == "@": m = "at" + m[1:] if m.count("@") > 1: n = m.find("@") m = m[:n+1] + m[n+1:].replace("@","at") print(m) ``` Yes
106,518
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` s = str(input()) s = s.replace("at","@") s = s.replace("dot",".") if s[0]==".": s = "dot"+s[1:] if s[0]=="@": s = "at"+s[1:] if s[len(s)-1]==".": s = s[:len(s)-1]+"dot" if s[len(s)-1]=="@": s = s[:len(s)-1]+"at" print(s) ``` No
106,520
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` m = input() m = m.replace("at","@") m = m.replace("dot",".") if m[0] == ".": m = "dot" + m[1:] if m[-1] == ".": m = m[:-1] + "dot" if m.count("@") > 1: n = m.find("@") m = m[:n+1] + m[n+1:].replace("@","at") print(m) ``` No
106,521
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` t = input() t = t.replace("dot", '.') t = t.replace("at", '@') if t.find('.')==0: t = t.replace(".", "dot", 1) if t.find('@')==0: t = t.replace("@", "at", 1) if t.rfind('.')==len(t)-1: t = t[0:len(t)-2] t += "dot" if t.rfind('@')==len(t)-1: t = t[0:len(t)-1] t += "at" print(t) ``` No
106,522
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6
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address (vasya@gmail.com). It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots. You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result. Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. Input The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. Output Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages). In the ASCII table the symbols go in this order: . @ ab...z Examples Input vasyaatgmaildotcom Output vasya@gmail.com Input dotdotdotatdotdotat Output dot..@..at Input aatt Output a@t Submitted Solution: ``` s=input() i=s.count("at") j=s.count("dot") if( i != 1): index=s.find("at") index=index+3 s1=s[0:index] s2=s[index:] s2=s2.replace("at","@",i-1) s=s1+s2 else: s=s.replace("at","@") if(j !=1): ind=s.find("dot") ind=ind+4 s3=s[0:ind] s4=s[ind:] s4=s4.replace("dot",".") s=s3+s4 else: s=s.replace("dot",".") print(s) ``` No
106,523
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` s=str(input()) if (s[0] == s[0].lower() and s[1:] == s[1:].upper()): print(s[0].upper()+s[1:].lower()) elif (s == s.upper()): print(s.lower()) else: print(s) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` a = input() if a.isupper() or a[1:].isupper() or (len(a)==1 and a.islower()): a = list(a) for i in range(len(a)): if a[i].isupper(): a[i] = a[i].lower() else: a[i] = a[i].upper() print("".join(a)) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` s=input().strip() a=s if len(s)==1: if a.upper()==s: print(a.lower()) else: print(a.upper()) else: if a.upper()==s: print(a.lower()) else: x=a[0].lower() y=a[1:].upper() if x==s[0] and y==s[1:]: x=a[0].upper() y=a[1:].lower() print(x+y) else: print(s) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` s=input() if s.upper()==s: print(s.lower()) else: q=s[0] i=s[1:] if s[0]==q.lower() and i.upper()==i: print(q.upper()+i.lower()) else: print(s) ```
107,156
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` s = input() if len(s)==1: if( s.islower() ): #if it is 'z' make it 'Z' s = s.upper() else: #if it is 'Z' make it 'z': s = s.lower() elif s[0].islower() and s[1:].isupper(): # hELLO to Hello s = s.capitalize() elif s.isupper(): #HELLO --> hello s = s.lower() print(s) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` word = input() if len(word)==1 and word.isupper(): print(word.lower()) elif len(word) ==1 and word.islower(): print(word.upper()) else: if word[1:].isupper() and word[0].islower(): print(word.capitalize()) elif word.isupper(): print(word.lower()) else: print(word) ```
107,158
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` n=input() c=0 if n[0].islower()==True: c+=1 for i in range(0,len(n)): if n[i].isupper()==True: c+=1 r="" if len(n)==c: for i in n: if i.isupper()==True: r+=i.lower() else: r+=i.upper() print(r) else: print(n) ```
107,159
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6
Provide tags and a correct Python 3 solution for this coding contest problem. wHAT DO WE NEED cAPS LOCK FOR? Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage. Let's consider that a word has been typed with the Caps lock key accidentally switched on, if: * either it only contains uppercase letters; * or all letters except for the first one are uppercase. In this case we should automatically change the case of all letters. For example, the case of the letters that form words "hELLO", "HTTP", "z" should be changed. Write a program that applies the rule mentioned above. If the rule cannot be applied, the program should leave the word unchanged. Input The first line of the input data contains a word consisting of uppercase and lowercase Latin letters. The word's length is from 1 to 100 characters, inclusive. Output Print the result of the given word's processing. Examples Input cAPS Output Caps Input Lock Output Lock Tags: implementation, strings Correct Solution: ``` #! /usr/bin/env python3 word = input() if (word.isupper()) or (word[1:].isupper()) or len(word) == 1: word = word.swapcase() print(word) else: print(word) ```
107,160
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo adores strings. But most of all he adores strings of length n. One day he wanted to find a string that meets the following conditions: 1. The string consists of n lowercase English letters (that is, the string's length equals n), exactly k of these letters are distinct. 2. No two neighbouring letters of a string coincide; that is, if we represent a string as s = s1s2... sn, then the following inequality holds, si ≠ si + 1(1 ≤ i < n). 3. Among all strings that meet points 1 and 2, the required string is lexicographically smallest. Help him find such string or state that such string doesn't exist. String x = x1x2... xp is lexicographically less than string y = y1y2... yq, if either p < q and x1 = y1, x2 = y2, ... , xp = yp, or there is such number r (r < p, r < q), that x1 = y1, x2 = y2, ... , xr = yr and xr + 1 < yr + 1. The characters of the strings are compared by their ASCII codes. Input A single line contains two positive integers n and k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26) — the string's length and the number of distinct letters. Output In a single line print the required string. If there isn't such string, print "-1" (without the quotes). Examples Input 7 4 Output ababacd Input 4 7 Output -1 Tags: greedy Correct Solution: ``` n, k = map(int, input().split()) if k > n or k == 1 and n > 1: print(-1) elif k == 1 and n == 1: print('a') else: print(('ab' * (n // 2 + 1))[: (n - (k - 2))] + 'cdefghijklmnopqrstuvwxyz'[:k - 2]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo adores strings. But most of all he adores strings of length n. One day he wanted to find a string that meets the following conditions: 1. The string consists of n lowercase English letters (that is, the string's length equals n), exactly k of these letters are distinct. 2. No two neighbouring letters of a string coincide; that is, if we represent a string as s = s1s2... sn, then the following inequality holds, si ≠ si + 1(1 ≤ i < n). 3. Among all strings that meet points 1 and 2, the required string is lexicographically smallest. Help him find such string or state that such string doesn't exist. String x = x1x2... xp is lexicographically less than string y = y1y2... yq, if either p < q and x1 = y1, x2 = y2, ... , xp = yp, or there is such number r (r < p, r < q), that x1 = y1, x2 = y2, ... , xr = yr and xr + 1 < yr + 1. The characters of the strings are compared by their ASCII codes. Input A single line contains two positive integers n and k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26) — the string's length and the number of distinct letters. Output In a single line print the required string. If there isn't such string, print "-1" (without the quotes). Examples Input 7 4 Output ababacd Input 4 7 Output -1 Tags: greedy Correct Solution: ``` import os import sys from io import BytesIO, IOBase def main(): n, t = map(int, input().split()) alphas = "abcdefghijklmnopqrstuvwxyz" if t > n: print(-1) elif n > 1 and t == 1: print(-1) elif n == 1 and t == 1: print("a") elif t == n: print(alphas[:n]) else: ans = '' if (n-(t-2)) % 2 == 1: ans += "ab"*((n-(t-2))//2) ans += "a" if t > 2: ans += alphas[2:(t-2) + 2] else: ans += "ab"*((n-(t-2))//2) if t > 2: ans += alphas[2:(t-2) + 2] print(ans) # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo adores strings. But most of all he adores strings of length n. One day he wanted to find a string that meets the following conditions: 1. The string consists of n lowercase English letters (that is, the string's length equals n), exactly k of these letters are distinct. 2. No two neighbouring letters of a string coincide; that is, if we represent a string as s = s1s2... sn, then the following inequality holds, si ≠ si + 1(1 ≤ i < n). 3. Among all strings that meet points 1 and 2, the required string is lexicographically smallest. Help him find such string or state that such string doesn't exist. String x = x1x2... xp is lexicographically less than string y = y1y2... yq, if either p < q and x1 = y1, x2 = y2, ... , xp = yp, or there is such number r (r < p, r < q), that x1 = y1, x2 = y2, ... , xr = yr and xr + 1 < yr + 1. The characters of the strings are compared by their ASCII codes. Input A single line contains two positive integers n and k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26) — the string's length and the number of distinct letters. Output In a single line print the required string. If there isn't such string, print "-1" (without the quotes). Examples Input 7 4 Output ababacd Input 4 7 Output -1 Tags: greedy Correct Solution: ``` n, k = map(int, input().split()) if n < k or k > 26: print(-1) elif k == 1: print('a' if n == 1 else -1) else: print(('ab' * (n // 2 + 1))[: n - k + 2] + 'cdefghijklmnopqrstuvwxyz'[: k - 2]) # Made By Mostafa_Khaled ```
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