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Provide tags and a correct Python 3 solution for this coding contest problem. Petya loves hockey very much. One day, as he was watching a hockey match, he fell asleep. Petya dreamt of being appointed to change a hockey team's name. Thus, Petya was given the original team name w and the collection of forbidden substrings s1, s2, ..., sn. All those strings consist of uppercase and lowercase Latin letters. String w has the length of |w|, its characters are numbered from 1 to |w|. First Petya should find all the occurrences of forbidden substrings in the w string. During the search of substrings the case of letter shouldn't be taken into consideration. That is, strings "aBC" and "ABc" are considered equal. After that Petya should perform the replacement of all letters covered by the occurrences. More formally: a letter in the position i should be replaced by any other one if for position i in string w there exist pair of indices l, r (1 ≤ l ≤ i ≤ r ≤ |w|) such that substring w[l ... r] is contained in the collection s1, s2, ..., sn, when using case insensitive comparison. During the replacement the letter's case should remain the same. Petya is not allowed to replace the letters that aren't covered by any forbidden substring. Letter letter (uppercase or lowercase) is considered lucky for the hockey players. That's why Petya should perform the changes so that the letter occurred in the resulting string as many times as possible. Help Petya to find such resulting string. If there are several such strings, find the one that comes first lexicographically. Note that the process of replacements is not repeated, it occurs only once. That is, if after Petya's replacements the string started to contain new occurrences of bad substrings, Petya pays no attention to them. Input The first line contains the only integer n (1 ≤ n ≤ 100) — the number of forbidden substrings in the collection. Next n lines contain these substrings. The next line contains string w. All those n + 1 lines are non-empty strings consisting of uppercase and lowercase Latin letters whose length does not exceed 100. The last line contains a lowercase letter letter. Output Output the only line — Petya's resulting string with the maximum number of letters letter. If there are several answers then output the one that comes first lexicographically. The lexicographical comparison is performed by the standard < operator in modern programming languages. The line a is lexicographically smaller than the line b, if a is a prefix of b, or there exists such an i (1 ≤ i ≤ |a|), that ai < bi, and for any j (1 ≤ j < i) aj = bj. |a| stands for the length of string a. Examples Input 3 bers ucky elu PetrLoveLuckyNumbers t Output PetrLovtTttttNumtttt Input 4 hello party abefglghjdhfgj IVan petrsmatchwin a Output petrsmatchwin Input 2 aCa cba abAcaba c Output abCacba Tags: implementation, strings Correct Solution: ``` import sys from math import * def minp(): return sys.stdin.readline().strip() def mint(): return int(minp()) def mints(): return map(int, minp().split()) def same(a, b): return a.lower() == b.lower() n = mint() w = [] for i in range(n): w.append(minp().lower()) s = minp() g = [False]*len(s) c = minp() for i in w: for j in range(len(s)-len(i)+1): if s[j:j+len(i)].lower() == i: for k in range(len(i)): g[j+k] = True r = '' for i in range(len(s)): if g[i]: x = s[i] if x == c.lower(): if c.lower() == 'a': r += 'b' else: r += 'a' elif x == c.upper(): if c.lower() == 'a': r += 'B' else: r += 'A' elif x.islower(): r += c.lower() else: r += c.upper() else: r += s[i] print(r) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Petya loves hockey very much. One day, as he was watching a hockey match, he fell asleep. Petya dreamt of being appointed to change a hockey team's name. Thus, Petya was given the original team name w and the collection of forbidden substrings s1, s2, ..., sn. All those strings consist of uppercase and lowercase Latin letters. String w has the length of |w|, its characters are numbered from 1 to |w|. First Petya should find all the occurrences of forbidden substrings in the w string. During the search of substrings the case of letter shouldn't be taken into consideration. That is, strings "aBC" and "ABc" are considered equal. After that Petya should perform the replacement of all letters covered by the occurrences. More formally: a letter in the position i should be replaced by any other one if for position i in string w there exist pair of indices l, r (1 ≤ l ≤ i ≤ r ≤ |w|) such that substring w[l ... r] is contained in the collection s1, s2, ..., sn, when using case insensitive comparison. During the replacement the letter's case should remain the same. Petya is not allowed to replace the letters that aren't covered by any forbidden substring. Letter letter (uppercase or lowercase) is considered lucky for the hockey players. That's why Petya should perform the changes so that the letter occurred in the resulting string as many times as possible. Help Petya to find such resulting string. If there are several such strings, find the one that comes first lexicographically. Note that the process of replacements is not repeated, it occurs only once. That is, if after Petya's replacements the string started to contain new occurrences of bad substrings, Petya pays no attention to them. Input The first line contains the only integer n (1 ≤ n ≤ 100) — the number of forbidden substrings in the collection. Next n lines contain these substrings. The next line contains string w. All those n + 1 lines are non-empty strings consisting of uppercase and lowercase Latin letters whose length does not exceed 100. The last line contains a lowercase letter letter. Output Output the only line — Petya's resulting string with the maximum number of letters letter. If there are several answers then output the one that comes first lexicographically. The lexicographical comparison is performed by the standard < operator in modern programming languages. The line a is lexicographically smaller than the line b, if a is a prefix of b, or there exists such an i (1 ≤ i ≤ |a|), that ai < bi, and for any j (1 ≤ j < i) aj = bj. |a| stands for the length of string a. Examples Input 3 bers ucky elu PetrLoveLuckyNumbers t Output PetrLovtTttttNumtttt Input 4 hello party abefglghjdhfgj IVan petrsmatchwin a Output petrsmatchwin Input 2 aCa cba abAcaba c Output abCacba Tags: implementation, strings Correct Solution: ``` import sys f = sys.stdin #f = open("input.txt") n = int(f.readline()) fbs = [] for i in range(n): fbs.append(f.readline().strip()) s = f.readline().strip() ch = f.readline().strip() bChange = [0] * len(s) for i in range(n): idx = s.lower().find(fbs[i].lower()) while idx != -1: bChange[idx:idx+len(fbs[i])] = [1] * len(fbs[i]) idx = s.lower().find(fbs[i].lower(), idx+1) #print(s) #print(bChange) result = ['']*len(s) for i in range(len(s)): if bChange[i] == 1: result[i] = ch if result[i].upper() == s[i].upper(): if result[i].upper() == 'A': result[i] = 'B' else: result[i] = 'A' if s[i].isupper(): result[i] = result[i].upper() else: result[i] = result[i].lower() else: result[i] = s[i] print("".join(result)) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Petya loves hockey very much. One day, as he was watching a hockey match, he fell asleep. Petya dreamt of being appointed to change a hockey team's name. Thus, Petya was given the original team name w and the collection of forbidden substrings s1, s2, ..., sn. All those strings consist of uppercase and lowercase Latin letters. String w has the length of |w|, its characters are numbered from 1 to |w|. First Petya should find all the occurrences of forbidden substrings in the w string. During the search of substrings the case of letter shouldn't be taken into consideration. That is, strings "aBC" and "ABc" are considered equal. After that Petya should perform the replacement of all letters covered by the occurrences. More formally: a letter in the position i should be replaced by any other one if for position i in string w there exist pair of indices l, r (1 ≤ l ≤ i ≤ r ≤ |w|) such that substring w[l ... r] is contained in the collection s1, s2, ..., sn, when using case insensitive comparison. During the replacement the letter's case should remain the same. Petya is not allowed to replace the letters that aren't covered by any forbidden substring. Letter letter (uppercase or lowercase) is considered lucky for the hockey players. That's why Petya should perform the changes so that the letter occurred in the resulting string as many times as possible. Help Petya to find such resulting string. If there are several such strings, find the one that comes first lexicographically. Note that the process of replacements is not repeated, it occurs only once. That is, if after Petya's replacements the string started to contain new occurrences of bad substrings, Petya pays no attention to them. Input The first line contains the only integer n (1 ≤ n ≤ 100) — the number of forbidden substrings in the collection. Next n lines contain these substrings. The next line contains string w. All those n + 1 lines are non-empty strings consisting of uppercase and lowercase Latin letters whose length does not exceed 100. The last line contains a lowercase letter letter. Output Output the only line — Petya's resulting string with the maximum number of letters letter. If there are several answers then output the one that comes first lexicographically. The lexicographical comparison is performed by the standard < operator in modern programming languages. The line a is lexicographically smaller than the line b, if a is a prefix of b, or there exists such an i (1 ≤ i ≤ |a|), that ai < bi, and for any j (1 ≤ j < i) aj = bj. |a| stands for the length of string a. Examples Input 3 bers ucky elu PetrLoveLuckyNumbers t Output PetrLovtTttttNumtttt Input 4 hello party abefglghjdhfgj IVan petrsmatchwin a Output petrsmatchwin Input 2 aCa cba abAcaba c Output abCacba Tags: implementation, strings Correct Solution: ``` n=int(input()) s=[] for _ in range(n): s.append(input()) w=input() l=input() x=[] ans=w for i in range(n): ts=w li=len(s[i]) for j in range(len(w)-li+1): if ts[j:j+li].lower()==s[i].lower(): p='' for e in range(j,j+li): if w[e].islower(): if w[e]==l.lower(): if l.lower()=='a': p=p+'b' else: p=p+'a' else: p=p+l.lower() else: if w[e]==l.upper(): if l.upper()=='A': p=p+'B' else: p=p+'A' else: p=p+l.upper() ans=ans[:j]+p+ans[j+li:] print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` n,m=map(int,input().split()) ans=0 st=[input() for i in range(n)] new=['']*n for i in range(m): newstr=[new[j]+st[j][i] for j in range(n)] if(newstr==sorted(newstr)): new=newstr else: ans+=1 print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` ### NOT FINISHED # I really need to make it go from line to line: # first, the first 2 lines should be corrected # then, the third, and so on. def issorted(l): return all(l[i] <= l[i+1] for i in range(len(l)-1)) def mainX(n,m,t): ans = 0 while not issorted(t): remove = -1 for i in range(len(t) - 1): if t[i] > t[i+1]: for j in range(len(t[i])): if t[i][j] != t[i+1][j]: remove = j break if remove != -1: print(i,remove) break t = [_t[:remove] + _t[remove+1:] for _t in t] ans += 1 print(ans) def is_good(s): return all(s[i] <= s[i+1] for i in range(len(s)-1)) def line_is_good(a,j): return all(a[i][j] <= a[i+1][j] for i in range(len(a)-1)) def main5(n,m,a): if n <= 1 or m<=0 or is_good(a): print(0) return bad = [] for i in range(0,m): if line_is_good(a,i): continue #if bad == []: bad.append(i) s = ["".join([k for b,k in enumerate(x) if b not in bad]) for x in a] print(i,bad) if is_good(s): print(len(bad)) return else: bad.append(i) print(m) def main6(n,m,a): if n <= 1 or m<=0 or is_good(a): print(0) return bad = [] good = range(m) ans = 0 while not is_good(a): remove = -1 return for i in range(0,m): if line_is_good(a,i): continue bad.append(i) #print(i) s = ["".join([k for b,k in enumerate(x) if b not in bad]) for x in a] if is_good(s): print(len(bad)) return print(m) def main(n,m,a): if n <= 1 or m<=0 or is_good(a): print(0) return bad = [] ans = 0 while not is_good(a): remove = -1 for i in range(n-1): if a[i] > a[i+1]: for j in range(len(a[i])): if a[i][j] > a[i+1][j]: remove = j break if remove != -1: break a = [x[:remove] + x[remove+1:] for x in a] ans += 1 print(ans) def main_input(): n,m = [int(i) for i in input().split()] a = [input() for s in range(n)] main(n,m,a) if __name__ == "__main__": main_input() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` # from itertools import combinations # from bisect import bisect_left # from functools import * # from collections import Counter I = lambda: list(map(int, input().split())) n, m = I() ans = 0 columns = list(zip(*[input() for i in range(n)])) g = [0 for _ in range(n)] for column in columns: if sum(g[i] or column[i] <= column[i + 1] for i in range(n - 1)) == n - 1: for i in range(n - 1): g[i] |= column[i] < column[i + 1] else: ans += 1 print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` def main(): n, m = map(int, input().split()) a = [input() for x in range(n)] s = ['']*n ans = 0 for i in range(m): ts = [s[j] + a[j][i] for j in range(n)] if(ts == sorted(ts)): s = ts else: ans += 1 print(ans) main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` def remove(p, a): for i in range(len(a)): a[i] = a[i][: p] + a[i][p + 1: ] n, m = [int(x) for x in input().split()] a = [] for i in range(n): a.append(input()) removed = 0 for i in range(m): i -= removed for j in range(n - 1): if a[j][: i + 1] > a[j + 1][: i + 1]: remove(i, a) removed += 1 break print(removed) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` # cook your dish here from sys import stdin,stdout from collections import Counter from itertools import permutations import bisect import math I=lambda: map(int,stdin.readline().split()) I1=lambda: stdin.readline() n,m=I() if n==1: print(0) exit() s=[I1() for i in range(n)] if m==1: if s==sorted(s): print(0) else: print(1) exit() c,i=0,1 while True: if i>len(s[0]): break for j in range(n-1): if s[j][:i]>s[j+1][:i]: c+=1 s=[x[:(i-1)]+x[i:] for x in s] i-=1 break i+=1 print(c) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` n, m = map(int,input().split()) table = [input() for i in range(n)] ans = 0 ar = [1] * n for i in range(m): ar2 = [ar[i] for i in range(n)] flag = 1 for j in range(1,n): if ar[j]: if table[j][i] > table[j - 1][i]: ar2[j] = 0 elif table[j][i] < table[j - 1][i]: ans += 1 flag = 0 break if flag: ar = [ar2[i] for i in range(n)] print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Tags: brute force, constructive algorithms, implementation Correct Solution: ``` from operator import itemgetter n, m = map(int, input().strip().split()) table = [] bad_cols = [False] * m for _ in range(n): table.append(input().strip()) for j in range(m): indices = [idx for idx in range(j + 1) if not bad_cols[idx]] for i in range(1, n): if itemgetter(*indices)(table[i]) < itemgetter(*indices)(table[i - 1]): bad_cols[j] = True break print(sum(bad_cols)) ```
47,437
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` n,m=map(int, input().split(' ') ) good = [[] for i in range(n)] masstr = [list(str(input())) for i in range(n)] for nomer_stolb in range(m): tmp = [stroka + [masstr[i][nomer_stolb]] for i, stroka in enumerate(good)] if sorted(tmp)==tmp: good = tmp print (m-len(good[0])) ``` Yes
47,438
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` def remove(p, a): for i in range(len(a)): a[i] = a[i][: p] + a[i][p + 1: ] n, m = [int(x) for x in input().split()] a = [] for i in range(n): a.append(input()) removed = 0 for i in range(m): i -= removed for j in range(n - 1): if a[j][: i + 1] > a[j + 1][: i + 1]: remove(i, a) removed += 1 break print(removed) # Made By Mostafa_Khaled ``` Yes
47,439
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` def input_split(f): return map(f, input().split()) def main(): n, m = input_split(int) lst = [input()] sml = [] for i in range(n - 1): lst.append(input()) sml.append(False) ans = 0 for i in range(m): flag = True for j in range(n - 1): flag = flag and ((lst[j][i] <= lst[j + 1][i]) or sml[j]) if flag: for j in range(n - 1): if lst[j][i] < lst[j + 1][i]: sml[j] = True else: ans += 1 print(ans) if __name__ == "__main__": main() ``` Yes
47,440
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` n,m = map(int, input().split()) words = [] for i in range(n): words.append(input()) nums = [0] * n count = 0 for j in range(m): good = True for i in range(n - 1): if (nums[i+1], words[i+1][j]) < (nums[i], words[i][j]): good = False if good: for i in range(n): nums[i] *= 30 nums[i] += ord(words[i][j]) - ord('a') else: count += 1 print(count) ``` Yes
47,441
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` '''input 10 10 ddorannorz mdrnzqvqgo gdtdjmlsuf eoxbrntqdp hribwlslgo ewlqrontvk nxibmnawnh vxiwdjvdom hyhhewmzmp iysgvzayst ''' from sys import stdin from collections import deque def get_segment(gstart, arr): pair = [] start = gstart end = gstart for i in range(1, len(arr)): if arr[i] == arr[i - 1]: end = i else: pair.append([start, end]) start = i end = i pair.append([start, end]) return pair def check_arr(arr): flag = 0 for i in range(1, len(arr)): if arr[i] > arr[i - 1]: pass elif arr[i] == arr[i - 1]: flag = 1 else: return 3 if flag == 0: return 1 else: return 2 def power_of_recursion(segment, index): # print(segment, index) global myset if index == m: return for start, end in segment: temp = [] for i in range(start, end + 1): temp.append(matrix[i][index]) # print(index, start, end, temp) # print(myset) t = check_arr(temp) if t == 1: continue elif t == 2: t_segment = get_segment(start, temp) # print("temp", t_segment, temp) power_of_recursion(t_segment, index + 1) else: myset.add(index) # print("SET", index, start, end, temp) power_of_recursion([[start, end]], index + 1) # main starts n, m = list(map(int, stdin.readline().split())) matrix = [] for _ in range(n): matrix.append(stdin.readline().strip()) segment = [[0, n - 1]] myset = set() power_of_recursion(segment, 0) print(len(myset)) ``` No
47,442
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` n_lines, n_cols = map(int, input().split()) cols = [] for _ in range(n_lines): cols.append(input()) def is_sorted(l): l = iter(l) prev = next(l, None) if prev is None: return True while True: cur = next(l, None) if cur is None: break elif cur < prev: return False prev = cur return True def pivot_cols(cols): if len(cols) < 2: return None s = [] for i in range(len(cols[0])): col = cols[i] if col in pivot_cols.memo: ok = pivot_cols.memo[col] else: ok = is_sorted(map(lambda c: c[i], cols)) pivot_cols.memo[col] = ok if not ok: s.append(i) return s pivot_cols.memo = dict() def do_rec(cols): pivots = pivot_cols(cols) if not pivots or pivots[0] != 0: return 0 min_steps = 100 for i in pivots: n_cols = [s[0:i] + s[i+1:] for s in cols] steps = do_rec(n_cols) min_steps = min(steps, min_steps) return 1 + min_steps print(do_rec(cols)) ``` No
47,443
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` from sys import * inp = lambda : stdin.readline() def main(): r,c = map(int,inp().split()) l,ans = [inp()[:-1] for i in range(r)],0 chec = [0 for i in range(c)] for j in range(c): for i in range(1,r): if l[i][j] < l[i-1][j]: chec[j] = 1 break de = [] for st in range(c): if chec[st]: ans += 1 de.append(st) else: break p = [] for i in range(1,r): if l[i][st] == l[i-1][st]: p.append(i-1) #print(p) for i in p: ls = st for j in (j for j in range(st+1,c) if j not in de): if l[i][j] < l[i+1][j]: break elif l[i][j] > l[i-1][j]: de.append(j) ans += 1 #print(j) print(ans) if __name__ == "__main__": main() ``` No
47,444
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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. You are given an n × m rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table abcd edfg hijk we obtain the table: acd efg hjk A table is called good if its rows are ordered from top to bottom lexicographically, i.e. each row is lexicographically no larger than the following one. Determine the minimum number of operations of removing a column needed to make a given table good. Input The first line contains two integers — n and m (1 ≤ n, m ≤ 100). Next n lines contain m small English letters each — the characters of the table. Output Print a single number — the minimum number of columns that you need to remove in order to make the table good. Examples Input 1 10 codeforces Output 0 Input 4 4 case care test code Output 2 Input 5 4 code forc esco defo rces Output 4 Note In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings s and t have equal length. Then, s is lexicographically larger than t if they are not equal and the character following the largest common prefix of s and t (the prefix may be empty) in s is alphabetically larger than the corresponding character of t. Submitted Solution: ``` #Er2 def main(): n, m = map(int, input().split()) if n == 1: s = input() print(0) return a = [] for i in range(n): s = list(input()) a.append(s) answer = 0 for i in range(m): is_sorted = True for j in range(n - 1): if ord(a[j][i]) > ord(a[j + 1][i]): is_sorted = False break if not is_sorted: answer += 1 for p in range(n): a[p][i] = '' all_sort = True for t in range(n - 1): if a[t] > a[t + 1]: all_sort = False break if all_sort: break print(answer) return if __name__=="__main__": main() ``` No
47,445
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` s = (input()) p = (input()) a = [i-1 for i in list(map(int,input().split()))] left = 0 right = len(s) while right - left > 1: d = list(s) mid = int((left + right)/2) for i in range(mid): d[a[i]] = '' j = 0 for i in range(len(s)): if p[j] == d[i]: j += 1 if j == len(p): left = mid break if j != len(p): right = mid print (left) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` def good(t, p, b, k): j = 0 for i in range(len(t)): if b[i] >= k and t[i] == p[j]: j += 1 if j == len(p): return True return False def solve(t, p, a): b = [0] * len(a) for i in range(len(a)): b[a[i] - 1] = i low = 0 high = len(a) while low + 1 < high: mid = (low + high) // 2 if good(t, p, b, mid): low = mid else: high = mid return low t = input() p = input() a = list(map(int, input().split())) print(solve(t, p, a)) ```
47,578
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` def possible(t,p,a,n): s = '' check = [True]*len(t) for i in range(n): check[a[i]] = False for i in range(len(check)): if check[i]: s += t[i] m = len(s) lp = len(p) c = 0 for i in range(m): if s[i] == p[c]: c += 1 if c == lp: return True return False t = input() p = input() a = list(map(int,input().split())) for i in range(len(a)): a[i] -= 1 low = 0 high = len(a) ans = 0 while low <= high: mid = (low+high)//2 if possible(t,p,a,mid): ans = mid low = mid+1 else: high = mid-1 print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` s = input() t = input() a = list(map(int, input().split())) def ok(n): bad = set() for i in range(n): bad.add(a[i] - 1) pt = 0 ps = 0 while pt < len(t) and ps < len(s): if ps in bad: ps += 1 else: if t[pt] == s[ps]: ps += 1 pt += 1 else: ps += 1 return pt == len(t) low = 0 high = len(s) while high >= low: mid = (high + low) // 2 if (ok(mid)): poss = mid low = mid + 1 else: high = mid - 1 print (poss) ```
47,580
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` s = input() t = input() a = [int(x) - 1 for x in input().split()] def ok(n): bad = set(a[:n]) it = (a for i, a in enumerate(s) if i not in bad) return all(c in it for c in t) low = 0 high = len(s) while low < high: mid = (high + low + 1) // 2 if (ok(mid)): low = mid else: high = mid - 1 print (high) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` b = input() s = input() i = [int(x)-1 for x in input().split()] def viable(x): ind = 0 ok = [0]*len(b) for j in range(0,x): ok[i[j]] = 1 for j in range(0,len(b)): if s[ind] == b[j] and ok[j] != 1: ind += 1 if ind == len(s): break if ind == len(s): return True else: return False low = 0 high = len(b) while low < high: mid = (low+high)//2 if viable(mid): ans = mid low = mid+1 else: high = mid print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` #########################################################################################################\ ######################################################################################################### ###################################The_Apurv_Rathore##################################################### ######################################################################################################### ######################################################################################################### import sys,os,io from math import log, gcd, ceil from collections import defaultdict as dd, deque, Counter from heapq import heappush, heappop from sys import stdin from bisect import bisect_left, bisect_right import math def ncr(n, r, p): #using fermat's little theorem num = den = 1 for i in range(r): num = (num * (n - i)) % p den = (den * (i + 1)) % p return (num * pow(den, p - 2, p)) % p def primeFactors(n): l = [] while n % 2 == 0: l.append(2) n = n / 2 for i in range(3,int(math.sqrt(n))+1,2): while n % i== 0: l.append(int(i)) n = n / i if n > 2: l.append(n) return list(set(l)) def power(x, y, p) : res = 1 x = x % p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : res = (res * x) % p y = y >> 1 # y = y/2 x = (x * x) % p return res def si(): return input() # input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline def prefix_sum(arr): r = [0] * (len(arr)+1) for i, el in enumerate(arr): r[i+1] = r[i] + el return r def divideCeil(n,x): if (n%x==0): return n//x return n//x+1 def ii(): return int(input()) def li(): return list(map(int,input().split())) def ws(s): sys.stdout.write(s + '\n') def wi(n): sys.stdout.write(str(n) + '\n') def wia(a): sys.stdout.write(' '.join([str(x) for x in a]) + '\n') if(os.path.exists('input.txt')): sys.stdin = open("input.txt","r") sys.stdout = open("output.txt","w") # input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline mod = 998244353 t = 1 # t = ii() def check(moves): l = list(s) for i in range(moves): l[p[i]-1] = '.' ptrt = 0 ptrl = 0 while(ptrt<len(t) and ptrl<len(l)): if (l[ptrl]==t[ptrt]): ptrl+=1 ptrt+=1 else: ptrl+=1 # print("ptrt,ptrl",ptrt,ptrl) if (ptrt==len(t)): return 1 return 0 for _ in range(t): s = si() t = si() p = li() n = len(s) low = 0 high = n ans = 0 while(low<=high): mid = (high+low)//2 # print("check(mid)",check(mid)) if (check(mid)): ans = mid low = mid+1 else: high = mid-1 print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Tags: binary search, greedy, strings Correct Solution: ``` s = input() t = input() a = [int(x) - 1 for x in input().split()] def ok(n): bad = set(a[:n]) it = (a for i, a in enumerate(s) if i not in bad) return all(c in it for c in t) low = 0 high = len(s) while low <= high: mid = (high + low) // 2 if (ok(mid)): low = mid + 1 poss = mid else: high = mid - 1 print (poss) ```
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` def can(m): u = sorted(a[:m]) inp = 0 inu = 0 for i in range(len(t)): if inu < len(u) and i == u[inu] - 1: inu += 1 elif t[i] == p[inp]: inp += 1 if inp == len(p): return True return False t = input() p = input() a = list(map(int, input().split())) l = 0 r = len(t) while r - l > 1: m = (r + l) // 2 if can(m): l = m else: r = m print(l) ``` Yes
47,585
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` a = input() b = input() p = list(map(int,input().split())) n = len(p) h = [0]*n for i in range(n): p[i]-=1 h[p[i]] = i def check(s1,s2,g): m1 = len(s1) m2 = len(s2) j = 0 i = 0 while j<m1 and i<m2: if s1[j] == s2[i] and h[i]>g: j = j+1 i = i + 1 return j==m1 l = -1 r = n-1 while l<r: md = (l+r+1)//2 # print(md,p[md],h[p[md]]) if check(b,a,h[p[md]]): # print(md,p[md],h[p[md]]) l = md else: r = md-1 print(l+1) ``` Yes
47,586
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. 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=1000000007 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 sub(x): have=set(a[:x]) i=0 j=0 while(i<len(s) and j<len(t)): if(i+1 not in have and s[i]==t[j]): j+=1 i+=1 return j==len(t) s=input() t=input() a=array() low=0 high=len(a) # print(sub(3)) while(low<=high): mid=low+(high-low)//2 if(sub(mid)): ans=mid low=mid+1 else: high=mid-1 print(ans) ``` Yes
47,587
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` s = list(input().strip()) t = input().strip() sq = [int(a) for a in input().strip().split()] l = len(s) lt = len(t) def check(x): tmp = s.copy() for i in range(x): tmp[sq[i]-1] = '_' idx = 0 for i in range(l): if tmp[i]==t[idx]: idx+=1 if idx==lt: return True return False low = 0 high = l while(low<=high): mid = (low + high) >> 1 if check(mid): low = mid + 1 else: high = mid - 1 print(high) ``` Yes
47,588
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` def is_subseq(x, y): """Check whether x is a subsequence of y.""" it = iter(y) return all(c in it for c in x) t, p = input(), input() a = [e-1 for e in map(int, input().split())] r = ''.join(t[i] for i in a) ri, pi = r[::-1], p[::-1] it = iter(ri) all(c in it for c in pi) n = len(tuple(it)) b = ''.join(t[i] for i in sorted(a[n:])) while not is_subseq(p, b): n -= 1 b = ''.join(t[i] for i in sorted(a[n:])) print(n) ``` No
47,589
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` def check(x): temp=[] for i in t: temp.append(i) for i in range(x): temp[a[i]-1]='' #print(''.join(temp)) l=0;r=0;c=0 while r<len(s) and l<len(t): if s[r]==temp[l]: r+=1;c+=1 l+=1 #print(c) return c==len(s) t=input() s=input() a=list(map(int,input().split())) lo=0;hi=len(a)-1 while lo<hi-1: mid=lo+(hi-lo)//2 #print(lo,hi,mid) if check(mid): lo=mid else: hi=mid print(lo) ``` No
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` t=input() p=input() a=input() b=a.split() for k in range(len(b)): b[k]=int(b[k]) low=0 high=len(b)-1 ans=-1 g=list(t) while low<=high: mid=(low+high)//2 d='' for h in range(mid+1): g[b[h]-1]="" k=0 for j in range(mid+1,len(b)): if d!=p: if g[j]==p[k]: d+=g[j] k+=1 else: break if (d==p): low=mid+1 ans=mid else: high=mid-1 for hh in range(mid+1): if (g[b[hh]-1]==""): g[b[hh]-1]=t[b[hh]-1] print (ans+1) ``` No
47,591
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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. Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her. Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain order (one after another, in this order strictly), which is specified by permutation of letters' indices of the word t: a1... a|t|. We denote the length of word x as |x|. Note that after removing one letter, the indices of other letters don't change. For example, if t = "nastya" and a = [4, 1, 5, 3, 2, 6] then removals make the following sequence of words "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya" <image> "nastya". Sergey knows this permutation. His goal is to stop his sister at some point and continue removing by himself to get the word p. Since Nastya likes this activity, Sergey wants to stop her as late as possible. Your task is to determine, how many letters Nastya can remove before she will be stopped by Sergey. It is guaranteed that the word p can be obtained by removing the letters from word t. Input The first and second lines of the input contain the words t and p, respectively. Words are composed of lowercase letters of the Latin alphabet (1 ≤ |p| < |t| ≤ 200 000). It is guaranteed that the word p can be obtained by removing the letters from word t. Next line contains a permutation a1, a2, ..., a|t| of letter indices that specifies the order in which Nastya removes letters of t (1 ≤ ai ≤ |t|, all ai are distinct). Output Print a single integer number, the maximum number of letters that Nastya can remove. Examples Input ababcba abb 5 3 4 1 7 6 2 Output 3 Input bbbabb bb 1 6 3 4 2 5 Output 4 Note In the first sample test sequence of removing made by Nastya looks like this: "ababcba" <image> "ababcba" <image> "ababcba" <image> "ababcba" Nastya can not continue, because it is impossible to get word "abb" from word "ababcba". So, Nastya will remove only three letters. Submitted Solution: ``` from bisect import bisect_left from math import pi def isSubSequence(str1,str2,m,n): j = 0 i = 0 while j<m and i<n: if str1[j] == str2[i]: j = j+1 i = i + 1 return j==m def searchCandies(t,p,a): l,h,m,ans=0,len(t),0,0 while(h>=l): m,s,te=l+(h-l)//2,0,t if(m<len(a)): te=list(te) for i in range(m): te[a[i]-1]='0' te="".join(te) if(isSubSequence(p,te,len(p),len(te))): ans=m # print(ans) l=m+1 else: h=m-1 return ans def main(): t=input() p=input() a=list(map(int,input().split())) print(searchCandies(t,p,a)) main() ``` No
47,592
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the first letters of its name. Thus, the king, whose name was Victorious Vasily Pupkin, was always called by the berlanders VVP. In Berland over its long history many dynasties of kings replaced each other, but they were all united by common traditions. Thus, according to one Berland traditions, to maintain stability in the country, the first name of the heir should be the same as the last name his predecessor (hence, the first letter of the abbreviated name of the heir coincides with the last letter of the abbreviated name of the predecessor). Berlanders appreciate stability, so this tradition has never been broken. Also Berlanders like perfection, so another tradition requires that the first name of the first king in the dynasty coincides with the last name of the last king in this dynasty (hence, the first letter of the abbreviated name of the first king coincides with the last letter of the abbreviated name of the last king). This tradition, of course, has also been always observed. The name of a dynasty is formed by very simple rules: we take all the short names of the kings in the order in which they ruled, and write them in one line. Thus, a dynasty of kings "ab" and "ba" is called "abba", and the dynasty, which had only the king "abca", is called "abca". Vasya, a historian, has recently found a list of abbreviated names of all Berland kings and their relatives. Help Vasya to find the maximally long name of the dynasty that could have existed in Berland. Note that in his list all the names are ordered by the time, that is, if name A is earlier in the list than B, then if A and B were kings, then king A ruled before king B. Input The first line contains integer n (1 ≤ n ≤ 5·105) — the number of names in Vasya's list. Next n lines contain n abbreviated names, one per line. An abbreviated name is a non-empty sequence of lowercase Latin letters. Its length does not exceed 10 characters. Output Print a single number — length of the sought dynasty's name in letters. If Vasya's list is wrong and no dynasty can be found there, print a single number 0. Examples Input 3 abc ca cba Output 6 Input 4 vvp vvp dam vvp Output 0 Input 3 ab c def Output 1 Note In the first sample two dynasties can exist: the one called "abcca" (with the first and second kings) and the one called "abccba" (with the first and third kings). In the second sample there aren't acceptable dynasties. The only dynasty in the third sample consists of one king, his name is "c". Tags: dp Correct Solution: ``` import sys import math from heapq import *; input = sys.stdin.readline from functools import cmp_to_key; def pi(): return(int(input())) def pl(): return(int(input(), 16)) def ti(): return(list(map(int,input().split()))) def ts(): s = input() return(list(s[:len(s) - 1])) def invr(): return(map(int,input().split())) mod = 1000000007; f = []; def fact(n,m): global f; f = [1 for i in range(n+1)]; f[0] = 1; for i in range(1,n+1): f[i] = (f[i-1]*i)%m; def fast_mod_exp(a,b,m): res = 1; while b > 0: if b & 1: res = (res*a)%m; a = (a*a)%m; b = b >> 1; return res; def inverseMod(n,m): return fast_mod_exp(n,m-2,m); def ncr(n,r,m): if n < 0 or r < 0 or r > n: return 0; if r == 0: return 1; return ((f[n]*inverseMod(f[n-r],m))%m*inverseMod(f[r],m))%m; def main(): C(); def C(): n = pi(); x = []; dp = [[0 for j in range(26)] for i in range(26)]; ans = 0; for i in range(n): x.append(input()[:-1]); l = ord(x[i][0]) - ord('a'); r = ord(x[i][len(x[i])-1]) - ord('a'); for j in range(26): if dp[j][l] != 0: dp[j][r] = max(dp[j][r], dp[j][l]+len(x[i])); dp[l][r] = max(dp[l][r], len(x[i])); for i in range(26): ans = max(ans, dp[i][i]); print(ans); main(); ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the first letters of its name. Thus, the king, whose name was Victorious Vasily Pupkin, was always called by the berlanders VVP. In Berland over its long history many dynasties of kings replaced each other, but they were all united by common traditions. Thus, according to one Berland traditions, to maintain stability in the country, the first name of the heir should be the same as the last name his predecessor (hence, the first letter of the abbreviated name of the heir coincides with the last letter of the abbreviated name of the predecessor). Berlanders appreciate stability, so this tradition has never been broken. Also Berlanders like perfection, so another tradition requires that the first name of the first king in the dynasty coincides with the last name of the last king in this dynasty (hence, the first letter of the abbreviated name of the first king coincides with the last letter of the abbreviated name of the last king). This tradition, of course, has also been always observed. The name of a dynasty is formed by very simple rules: we take all the short names of the kings in the order in which they ruled, and write them in one line. Thus, a dynasty of kings "ab" and "ba" is called "abba", and the dynasty, which had only the king "abca", is called "abca". Vasya, a historian, has recently found a list of abbreviated names of all Berland kings and their relatives. Help Vasya to find the maximally long name of the dynasty that could have existed in Berland. Note that in his list all the names are ordered by the time, that is, if name A is earlier in the list than B, then if A and B were kings, then king A ruled before king B. Input The first line contains integer n (1 ≤ n ≤ 5·105) — the number of names in Vasya's list. Next n lines contain n abbreviated names, one per line. An abbreviated name is a non-empty sequence of lowercase Latin letters. Its length does not exceed 10 characters. Output Print a single number — length of the sought dynasty's name in letters. If Vasya's list is wrong and no dynasty can be found there, print a single number 0. Examples Input 3 abc ca cba Output 6 Input 4 vvp vvp dam vvp Output 0 Input 3 ab c def Output 1 Note In the first sample two dynasties can exist: the one called "abcca" (with the first and second kings) and the one called "abccba" (with the first and third kings). In the second sample there aren't acceptable dynasties. The only dynasty in the third sample consists of one king, his name is "c". Tags: dp Correct Solution: ``` from sys import stdin n=int(stdin.readline().strip()) s=[stdin.readline().strip() for i in range(n)] dp=[[0 for i in range(26)] for j in range(26)] now=1 last=0 for i in range(n): a,b=ord(s[i][0])-97,ord(s[i][-1])-97 for j in range(26): if dp[j][a]>0: dp[j][b]=max(dp[j][b],dp[j][a]+len(s[i])) dp[a][b]=max(dp[a][b],len(s[i])) ans=0 for i in range(26): ans=max(ans,dp[i][i]) print(ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the first letters of its name. Thus, the king, whose name was Victorious Vasily Pupkin, was always called by the berlanders VVP. In Berland over its long history many dynasties of kings replaced each other, but they were all united by common traditions. Thus, according to one Berland traditions, to maintain stability in the country, the first name of the heir should be the same as the last name his predecessor (hence, the first letter of the abbreviated name of the heir coincides with the last letter of the abbreviated name of the predecessor). Berlanders appreciate stability, so this tradition has never been broken. Also Berlanders like perfection, so another tradition requires that the first name of the first king in the dynasty coincides with the last name of the last king in this dynasty (hence, the first letter of the abbreviated name of the first king coincides with the last letter of the abbreviated name of the last king). This tradition, of course, has also been always observed. The name of a dynasty is formed by very simple rules: we take all the short names of the kings in the order in which they ruled, and write them in one line. Thus, a dynasty of kings "ab" and "ba" is called "abba", and the dynasty, which had only the king "abca", is called "abca". Vasya, a historian, has recently found a list of abbreviated names of all Berland kings and their relatives. Help Vasya to find the maximally long name of the dynasty that could have existed in Berland. Note that in his list all the names are ordered by the time, that is, if name A is earlier in the list than B, then if A and B were kings, then king A ruled before king B. Input The first line contains integer n (1 ≤ n ≤ 5·105) — the number of names in Vasya's list. Next n lines contain n abbreviated names, one per line. An abbreviated name is a non-empty sequence of lowercase Latin letters. Its length does not exceed 10 characters. Output Print a single number — length of the sought dynasty's name in letters. If Vasya's list is wrong and no dynasty can be found there, print a single number 0. Examples Input 3 abc ca cba Output 6 Input 4 vvp vvp dam vvp Output 0 Input 3 ab c def Output 1 Note In the first sample two dynasties can exist: the one called "abcca" (with the first and second kings) and the one called "abccba" (with the first and third kings). In the second sample there aren't acceptable dynasties. The only dynasty in the third sample consists of one king, his name is "c". Tags: dp Correct Solution: ``` from sys import stdin input = stdin.readline n = int(input()) s = list(input().strip() for _ in range(n)) dp = [[0 for i in range(28)] for j in range(28)] for i in range(n): a, b = ord(s[i][0]) - ord('a'), ord(s[i][-1]) - ord('a') for j in range(26): if dp[j][a] > 0: dp[j][b] = max(dp[j][b], dp[j][a] + len(s[i])) dp[a][b] = max(dp[a][b], len(s[i])) res = 0 for i in range(26): res = max(res, dp[i][i]) print(res) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the first letters of its name. Thus, the king, whose name was Victorious Vasily Pupkin, was always called by the berlanders VVP. In Berland over its long history many dynasties of kings replaced each other, but they were all united by common traditions. Thus, according to one Berland traditions, to maintain stability in the country, the first name of the heir should be the same as the last name his predecessor (hence, the first letter of the abbreviated name of the heir coincides with the last letter of the abbreviated name of the predecessor). Berlanders appreciate stability, so this tradition has never been broken. Also Berlanders like perfection, so another tradition requires that the first name of the first king in the dynasty coincides with the last name of the last king in this dynasty (hence, the first letter of the abbreviated name of the first king coincides with the last letter of the abbreviated name of the last king). This tradition, of course, has also been always observed. The name of a dynasty is formed by very simple rules: we take all the short names of the kings in the order in which they ruled, and write them in one line. Thus, a dynasty of kings "ab" and "ba" is called "abba", and the dynasty, which had only the king "abca", is called "abca". Vasya, a historian, has recently found a list of abbreviated names of all Berland kings and their relatives. Help Vasya to find the maximally long name of the dynasty that could have existed in Berland. Note that in his list all the names are ordered by the time, that is, if name A is earlier in the list than B, then if A and B were kings, then king A ruled before king B. Input The first line contains integer n (1 ≤ n ≤ 5·105) — the number of names in Vasya's list. Next n lines contain n abbreviated names, one per line. An abbreviated name is a non-empty sequence of lowercase Latin letters. Its length does not exceed 10 characters. Output Print a single number — length of the sought dynasty's name in letters. If Vasya's list is wrong and no dynasty can be found there, print a single number 0. Examples Input 3 abc ca cba Output 6 Input 4 vvp vvp dam vvp Output 0 Input 3 ab c def Output 1 Note In the first sample two dynasties can exist: the one called "abcca" (with the first and second kings) and the one called "abccba" (with the first and third kings). In the second sample there aren't acceptable dynasties. The only dynasty in the third sample consists of one king, his name is "c". Tags: dp Correct Solution: ``` from sys import stdin, stdout fst = 97 sze = 26 values = [[0 for i in range(sze)] for j in range(sze)] n = int(stdin.readline()) challengers = [] for i in range(n): s = stdin.readline().strip() challengers.append((ord(s[0]) - fst, ord(s[-1]) - fst)) for i in range(sze): if values[i][challengers[-1][0]]: values[i][challengers[-1][1]] = max(values[i][challengers[-1][1]], values[i][challengers[-1][0]] + len(s)) values[challengers[-1][0]][challengers[-1][1]] = max(values[challengers[-1][0]][challengers[-1][1]], len(s)) ans = 0 for i in range(sze): ans = max(ans, values[i][i]) stdout.write(str(ans)) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` #Hard Work s = [] for i in range(3): tmp = input() s.append(tmp) for i in range(3): tmp = "" for ch in s[i]: if ch != '-' and ch != ';' and ch != '_': tmp += ch s[i] = tmp.lower() res = [] for i in range(3): for j in range(3): tmp = s[i] if j != i: tmp += s[j] for k in range(3): if i != k and j != k: tmp += s[k] res.append(tmp) n = int(input()) for i in range(n): str = input() tmp = "" for ch in str: if ch != '-' and ch != ';' and ch != '_': tmp += ch if tmp.lower() in res: print('ACC') else: print('WA') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` def foo(s): s=''.join(s.split('-')) s=''.join(s.split(';')) s=''.join(s.split('_')) return s.lower() s1=foo(input()) s2=foo(input()) s3=foo(input()) n=int(input()) arr=[s1+s2+s3,s1+s3+s2,s2+s1+s3,s2+s3+s1,s3+s1+s2,s3+s2+s1] for _ in range(n): if foo(input()) in arr: print('ACC') else: print('WA') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` import string a = input() b = input() c = input() t = [] s = "" s0 = "" s1 = "" reponse = "" for i in range(len(a)): if a[i] not in string.punctuation : s = s + a[i] for i in range(len(b)): if b[i] not in string.punctuation : s0 = s0 + b[i] for i in range(len(c)): if c[i] not in string.punctuation : s1 = s1 + c[i] n = int(input()) for i in range(n): x = input() s2 = "" for j in range(len(x)) : if x[j] not in string.punctuation : s2 = s2 + x[j] if ((s2.lower() == (s + s0 + s1).lower()) or (s2.lower() == (s + s1 + s0).lower()) or (s2.lower() == (s0 + s + s1).lower()) or (s2.lower() == (s0 + s1 + s).lower()) or (s2.lower() == (s1 + s0 + s).lower()) or (s2.lower() == (s1 + s + s0).lower())): reponse = "ACC" else : reponse = "WA" t.append(reponse) for i in range(len(t)): print(t[i]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` from sys import stdin, stdout def changing(s): return s.replace('_', '').replace('-', '').replace(';', '').lower() s1 = changing(stdin.readline().strip()) s2 = changing(stdin.readline().strip()) s3 = changing(stdin.readline().strip()) n = int(stdin.readline()) for i in range(n): conc = changing(stdin.readline().strip()) if conc == (s1 + s2 + s3) or conc == (s1 + s3 + s2) or conc == (s2 + s1 + s3) or conc == (s2 + s3 + s1) or conc == (s3 + s1 + s2) or conc == (s3 + s2 + s1): stdout.write('ACC\n') else: stdout.write('WA\n') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` from itertools import permutations import sys u=input l=[u(),u(),u()] #print(l) d={';':'' , '-':'', '_':''} for _ in range(3): l[_]=''.join(d[s] if s in d else s for s in l[_]) l[_]=l[_].lower(); #print(l) n=int(u()) for i in range(n): s=u().lower() b=0 s=''.join(d[p] if p in d else p for p in s) #print(s) for q in permutations(l): r=''.join(x for x in q) if(r==s): b=1 break print(["WA","ACC"][b]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` import re def sub(s): return re.sub('[-_;]', '', s).lower() s1, s2, s3, n, a = sub(input()), sub(input()), sub(input()), int(input()), [] possible = [s1+s2+s3, s1+s3+s2, s2+s1+s3, s2+s3+s1, s3+s1+s2, s3+s2+s1] for i in range(n): print('ACC' if sub(input()) in possible else 'WA') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` from collections import Counter def SomRas(s): return "".join([item.lower() for item in s if item.isalpha()]) naradmuni = SomRas(input()) vedvyas = SomRas(input()) RishiMuni = SomRas(input()) n = int(input()) for test in range(n): koi_dikkat = SomRas(input()) was_a_thing = Counter(koi_dikkat) maybe_a_thing = Counter(naradmuni + vedvyas + RishiMuni) if was_a_thing != maybe_a_thing: print("WA") continue sort_kiya_hua_cheez = sorted([naradmuni, vedvyas, RishiMuni], key=len) if sort_kiya_hua_cheez[2] in koi_dikkat: koi_dikkat = koi_dikkat.split(sort_kiya_hua_cheez[2]) else: print("WA") continue if sort_kiya_hua_cheez[1] in koi_dikkat[0]: koi_dikkat += koi_dikkat[0].split(sort_kiya_hua_cheez[1]) koi_dikkat = koi_dikkat[1:] elif sort_kiya_hua_cheez[1] in koi_dikkat[1]: last = koi_dikkat.pop() koi_dikkat += last.split(sort_kiya_hua_cheez[1]) else: print("WA") continue if sort_kiya_hua_cheez[0] in koi_dikkat: print("ACC") else: print("WA") ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer! Some days before the contest, the teacher took a very simple-looking exam and all his n students took part in the exam. The teacher gave them 3 strings and asked them to concatenate them. Concatenating strings means to put them in some arbitrary order one after the other. For example from concatenating Alireza and Amir we can get to AlirezaAmir or AmirAlireza depending on the order of concatenation. Unfortunately enough, the teacher forgot to ask students to concatenate their strings in a pre-defined order so each student did it the way he/she liked. Now the teacher knows that Shapur is such a fast-calculating genius boy and asks him to correct the students' papers. Shapur is not good at doing such a time-taking task. He rather likes to finish up with it as soon as possible and take his time to solve 3-SAT in polynomial time. Moreover, the teacher has given some advice that Shapur has to follow. Here's what the teacher said: * As I expect you know, the strings I gave to my students (including you) contained only lowercase and uppercase Persian Mikhi-Script letters. These letters are too much like Latin letters, so to make your task much harder I converted all the initial strings and all of the students' answers to Latin. * As latin alphabet has much less characters than Mikhi-Script, I added three odd-looking characters to the answers, these include "-", ";" and "_". These characters are my own invention of course! And I call them Signs. * The length of all initial strings was less than or equal to 100 and the lengths of my students' answers are less than or equal to 600 * My son, not all students are genius as you are. It is quite possible that they make minor mistakes changing case of some characters. For example they may write ALiReZaAmIR instead of AlirezaAmir. Don't be picky and ignore these mistakes. * Those signs which I previously talked to you about are not important. You can ignore them, since many students are in the mood for adding extra signs or forgetting about a sign. So something like Iran;;-- is the same as --;IRAN * You should indicate for any of my students if his answer was right or wrong. Do this by writing "WA" for Wrong answer or "ACC" for a correct answer. * I should remind you that none of the strings (initial strings or answers) are empty. * Finally, do these as soon as possible. You have less than 2 hours to complete this. Input The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively. In the fourth line there is a single integer n (0 ≤ n ≤ 1000), the number of students. Next n lines contain a student's answer each. It is guaranteed that the answer meets what the teacher said. Each answer iconsists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). Length is from 1 to 600, inclusively. Output For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. Examples Input Iran_ Persian; W_o;n;d;e;r;f;u;l; 7 WonderfulPersianIran wonderful_PersIAN_IRAN;;_ WONDERFUL___IRAN__PERSIAN__;; Ira__Persiann__Wonderful Wonder;;fulPersian___;I;r;a;n; __________IranPersianWonderful__________ PersianIran_is_Wonderful Output ACC ACC ACC WA ACC ACC WA Input Shapur;; is___ a_genius 3 Shapur__a_is___geniUs is___shapur___a__Genius; Shapur;;is;;a;;geni;;us;; Output WA ACC ACC Tags: strings Correct Solution: ``` import re lib = [] #clean sign trong lib, lower for i in range(3): temp = input() temp = re.sub('[\\_\\-\\;]', '', temp) lib.append(temp.lower()) answers = int(input()) #thisis; if remove is before it will remove 'is' in this lib = sorted(lib,key=len,reverse=True) for i in range(answers): #preprocess sign cua answer answer = re.sub('[\\_\\-\\;]', '', input()) answer = answer.lower() for ele in lib: temp = answer.find(ele) if temp == -1: break else: answer = answer.replace(ele,' ',1)#xoa nhung khong dc de trong if answer.isspace(): print('ACC') else: print('WA') ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) man = [] womanchildren = [] captain = [] for i in range(n): n, r = map(str, input().split()) if r == 'rat': print(n) elif r == 'man': man.append(n) elif r == 'woman' or r == 'child': womanchildren.append(n) elif r == 'captain': captain.append(n) for i in womanchildren: print(i) for i in man: print(i) for i in captain: print(i) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` crew_members = [input().split() for _ in range(int(input()))] for status_values in ('rat', ('woman', 'child'), 'man', 'captain'): for name, status in crew_members: if status in status_values: print(name) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` import sys def main(): crew = { 'rat' : [], 'woman_child' : [], 'man' : [], 'captain' : [] } x = input.readline() n = int(x) for i in range(n): member = input.readline() name = member.split(' ')[0] status = member[:-1].split(' ')[1] if status in crew: crew[status].append(name) else: crew['woman_child'].append(name) for rat in crew['rat']: output.write(rat + '\n') for woman_child in crew['woman_child']: output.write(woman_child + '\n') for man in crew['man']: output.write(man + '\n') output.write(crew['captain'][0]) def run(): global input, output input = sys.stdin output = sys.stdout main() if __name__ == '__main__': run() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` def sinkingship(alist): rat,womanchild,man,captain=[],[],[],[] # rat woman & child man captain for i in alist: if i[1]=="rat": rat.append(i[0]) if i[1]=="woman" or i[1]=="child": womanchild.append(i[0]) if i[1]=="man" : man.append(i[0]) if i[1]=="captain" : captain.append(i[0]) totallist=rat+womanchild+man+captain #print(totallist) for i in totallist: print(i) n=int(input()) alist=[] for i in range(n): name=list(map(str,input().split())) alist.append(name) sinkingship(alist) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` def main(): def clear(t): nonlocal n, q for i in range(n): if q[i] == None: continue if q[i][1] in t: print(q[i][0]) q[i] = None n = int(input()) q = [] for i in range(n): q.append(input().split(' ')) clear(set(["rat"])) clear(set(["woman", "child"])) clear(set(["man"])) clear(set(["captain"])) main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` from operator import itemgetter peoplenum = int(input()) list = [] peopleorder = [] supposedorder = {"rat":1, "woman":2, "child":2, "man":3, "captain":4} order = [] for i in range(peoplenum): list.append(input().split()) for i in range(peoplenum): if list[i][1] == 'rat': order.append([supposedorder["rat"], list[i][0]]) if list[i][1] == 'woman': order.append([supposedorder['woman'], list[i][0]]) if list[i][1] == 'child': order.append([supposedorder['child'], list[i][0]]) if list[i][1] == 'man': order.append([supposedorder['man'], list[i][0]]) if list[i][1] == 'captain': order.append([supposedorder['captain'], list[i][0]]) order = sorted(order, key=itemgetter(0)) for i in range(peoplenum): print(order[i][1]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All n crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to n) and await further instructions. However, one should evacuate the crew properly, in a strict order. Specifically: The first crew members to leave the ship are rats. Then women and children (both groups have the same priority) leave the ship. After that all men are evacuated from the ship. The captain leaves the sinking ship last. If we cannot determine exactly who should leave the ship first for any two members of the crew by the rules from the previous paragraph, then the one who stands to the left in the line leaves the ship first (or in other words, the one whose number in the line is less). For each crew member we know his status as a crew member, and also his name. All crew members have different names. Determine the order in which to evacuate the crew. Input The first line contains an integer n, which is the number of people in the crew (1 ≤ n ≤ 100). Then follow n lines. The i-th of those lines contains two words — the name of the crew member who is i-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spaces in the line. The names consist of Latin letters, the first letter is uppercase, the rest are lowercase. The length of any name is from 1 to 10 characters. The status can have the following values: rat for a rat, woman for a woman, child for a child, man for a man, captain for the captain. The crew contains exactly one captain. Output Print n lines. The i-th of them should contain the name of the crew member who must be the i-th one to leave the ship. Examples Input 6 Jack captain Alice woman Charlie man Teddy rat Bob child Julia woman Output Teddy Alice Bob Julia Charlie Jack Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) arr = [] d = {"rat":1,"woman":2,"child":2,"man":3,"captain":5} for i in range(n): arr.append(tuple(input().split())) arr.sort(key = lambda x:d[x[1]]) for data in arr: print(data[0]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` MOD = int(1e9) + 7 if __name__ == "__main__": a = input() b = input() k = int(input()) if(len(a) != len(b)): print(0) exit() a = a + a x = 0 y = 0 for i in range(len(a) // 2): flag = 1 for j in range(len(b)): if(a[j + i] != b[j]): flag = 0 break if(flag == 1): x += 1 else: y += 1 flag = 0 for i in range(len(b)): if(a[i] != b[i]): flag = 1 u = 1 v = 0 if(flag == 1): v = 1 u = 0 for i in range(k): uu = (u * (x - 1)) % MOD + (v * (x)) % MOD vv = (u * (y)) % MOD + (v * (y - 1)) % MOD u = uu % MOD v = vv % MOD print(u) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` start,end,k=input(),input(),int(input()) n,mod=len(end),10**9+7 dp=[1,0] psum=1 for i in range(k): dp[0]=psum-dp[0] dp[1]=psum-dp[1] psum=(dp[0]+((n-1)*dp[1])%mod)%mod ans=0 for i in range(n): if start[i:]+start[:i]==end: if i==0:ans+=dp[0] else:ans+=dp[1] print(ans%mod) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` start, end, k = input(), input(), int(input()) dp = [[start == end for _ in range(k + 1)], [start != end for _ in range(k + 1)]] mod = int(1e9 + 7) same = sum(end == (start[i: len(start)] + start[0: i]) for i in range(len(start))) diff = len(start) - same for i in range(1, k + 1): dp[0][i] = (dp[0][i - 1] * (same - 1) + dp[1][i - 1] * same) % mod dp[1][i] = (dp[0][i - 1] * diff + dp[1][i - 1] * (diff - 1)) % mod print(int(dp[0][k])) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` class Solution(): def number_or_ways(start, end, moves): p = 10**9+7 num_rots = 0 for i in range(len(start)): rot = start[i:]+start[0:i] if rot == end: num_rots += 1 dp = [[0 for i in range(2)] for j in range(moves+1)] dp[0][0], dp[0][1] = 1, 0 for i in range(1, moves+1): dp[i][0] = (((num_rots-1)*dp[i-1][0])%p + ((len(start)-num_rots)*dp[i-1][1])%p)%p dp[i][1] = ((num_rots*dp[i-1][0])%p + ((len(start)-1-num_rots)*dp[i-1][1])%p)%p if start == end: return dp[moves][0] else: return dp[moves][1] start = input().strip() end = input().strip() moves = int(input()) print(Solution.number_or_ways(start, end, moves)) ```
49,930
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase 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") # ------------------- fast io -------------------- from math import gcd, ceil def prod(a, mod=10**9+7): ans = 1 for each in a: ans = (ans * each) % mod return ans def lcm(a, b): return a * b // gcd(a, b) def binary(x, length=16): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y from collections import deque for _ in range(int(input()) if not True else 1): #n = int(input()) #n, k = map(int, input().split()) #a, b = map(int, input().split()) #c, d = map(int, input().split()) #a = list(map(int, input().split())) #b = list(map(int, input().split())) s1 = deque(k for k in input()) s2 = deque(k for k in input()) n = len(s1) k = int(input()) if k == 0: print(int(s1==s2)) quit() mod = 10**9 + 7 n1pow = [1] for i in range(696969): n1pow += [(n1pow[-1]*(n-1)) % mod] ans0 = 0 for i in range(1, k): ans0 = (n1pow[i] - ans0) % mod ans1 = 1 for i in range(1, k): ans1 = (n1pow[i] - ans1) % mod #print(ans0, ans1) total = 0 for t in range(n): if s1 == s2: total += ans1 if t else ans0 s1.appendleft(s1.pop()) print(total % mod) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code def main(): MOD = int(1e9 + 7) a = input() b = input() n = int(input()) ca, cb = 0,0 for i in range(len(a)): s = a[i:] + a[:i] if s == b: ca += 1 else: cb += 1 if ca == 0: print(0) return da = [0] * (n + 1) db = da[:] da[0] = 1 if a == b else 0 db[0] = 1 - da[0] for i in range(1, n + 1): da[i] = da[i - 1] * (ca - 1) + db[i - 1] * ca db[i] = da[i - 1] * cb + db[i - 1] * (cb - 1) da[i] %= MOD db[i] %= MOD # print(da[i], db[i], ca, cb) print(da[n]) return if __name__ == "__main__": main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Tags: dp Correct Solution: ``` def WordCut(): start = input() end = input() k = int(input()) n=len(start) dpA,dpB = (start==end),(start!=end) end+=end A=sum(start==end[i:i+n] for i in range(n)) B = n- A M = 10**9+7 for _ in range(k): dpA,dpB=(dpA*(A-1)+dpB*A)%M,(dpA*B+dpB*(B-1))%M return int(dpA) print(WordCut()) ```
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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. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Submitted Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase 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") # ------------------- fast io -------------------- from math import gcd, ceil def prod(a, mod=10**9+7): ans = 1 for each in a: ans = (ans * each) % mod return ans def lcm(a, b): return a * b // gcd(a, b) def binary(x, length=16): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y from collections import deque for _ in range(int(input()) if not True else 1): #n = int(input()) #n, k = map(int, input().split()) #a, b = map(int, input().split()) #c, d = map(int, input().split()) #a = list(map(int, input().split())) #b = list(map(int, input().split())) s1 = deque(k for k in input()) s2 = deque(k for k in input()) n = len(s1) k = int(input()) if k == 0: print(int(s1==s2)) quit() mod = 10**9 + 7 n1pow = [1] for i in range(696969): n1pow += [(n1pow[-1]*(n-1)) % mod] ans0 = 0 for i in range(2, k+1): ans0 = (n1pow[i] - ans0) % mod ans1 = 1 for i in range(2, k+1): ans1 = (n1pow[i] - ans1) % mod #print(ans0, ans1) total = 0 for t in range(n): if s1 == s2: total += ans1 if t else ans0 s1.appendleft(s1.pop()) print(total % mod) ``` No
49,934
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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. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Submitted Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code def main(): MOD = int(1e9 + 7) a = input() b = input() n = int(input()) ca, cb = 0,0 for i in range(len(a)): s = a[i:] + a[:i] if s == b: ca += 1 else: cb += 1 if ca == 0: print(0) return da = [0] * (n + 1) db = da[:] da[0] = 1 if a == b else 0 db[0] = 1 - da[0] for i in range(1, n + 1): da[i] = da[i - 1] * (ca - 1) da[i] += db[i - 1] * cb db[i] = da[i - 1] * ca if cb: db[i - 1] * (cb - 1) da[i] %= MOD db[i] %= MOD print(da[n]) return if __name__ == "__main__": main() ``` No
49,935
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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. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Submitted Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code def main(): MOD = int(1e9 + 7) a = input() b = input() n = int(input()) ca, cb = 0,0 for i in range(len(a)): s = a[i:] + a[:i] if s == b: ca += 1 else: cb += 1 da = [0] * (n + 1) db = da[:] da[0] = 1 if a == b else 0 db[0] = 1 - da[0] for i in range(1, n + 1): da[i] = da[i - 1] * (ca - 1) + db[i - 1] * cb db[i] = da[i - 1] * ca + db[i - 1] * (cb - 1) da[i] %= MOD db[i] %= MOD print(da[n]) return if __name__ == "__main__": main() ``` No
49,936
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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. Let's consider one interesting word game. In this game you should transform one word into another through special operations. Let's say we have word w, let's split this word into two non-empty parts x and y so, that w = xy. A split operation is transforming word w = xy into word u = yx. For example, a split operation can transform word "wordcut" into word "cutword". You are given two words start and end. Count in how many ways we can transform word start into word end, if we apply exactly k split operations consecutively to word start. Two ways are considered different if the sequences of applied operations differ. Two operation sequences are different if exists such number i (1 ≤ i ≤ k), that in the i-th operation of the first sequence the word splits into parts x and y, in the i-th operation of the second sequence the word splits into parts a and b, and additionally x ≠ a holds. Input The first line contains a non-empty word start, the second line contains a non-empty word end. The words consist of lowercase Latin letters. The number of letters in word start equals the number of letters in word end and is at least 2 and doesn't exceed 1000 letters. The third line contains integer k (0 ≤ k ≤ 105) — the required number of operations. Output Print a single number — the answer to the problem. As this number can be rather large, print it modulo 1000000007 (109 + 7). Examples Input ab ab 2 Output 1 Input ababab ababab 1 Output 2 Input ab ba 2 Output 0 Note The sought way in the first sample is: ab → a|b → ba → b|a → ab In the second sample the two sought ways are: * ababab → abab|ab → ababab * ababab → ab|abab → ababab Submitted Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code def main(): MOD = int(1e9 + 7) a = input() b = input() n = int(input()) ca, cb = 0,0 for i in range(len(a)): s = a[i:] + a[:i] if s == b: ca += 1 else: cb += 1 if ca == 0: print(0) return da = [0] * (n + 1) db = da[:] da[0] = 1 if a == b else 0 db[0] = 1 - da[0] for i in range(1, n + 1): da[i] = da[i - 1] * (ca - 1) + db[i - 1] * cb db[i] = da[i - 1] * ca + db[i - 1] * (cb - 1) da[i] %= MOD db[i] %= MOD print(da[n]) return if __name__ == "__main__": main() ``` No
49,937
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` P = 910519 MOD = 32416190071 p = [1] for i in range(1, 200010): p.append((P * p[i - 1]) % MOD) n = int(input()) s = list(set([input() for i in range(n)])) n = len(s) name = ['' for i in range(n)] path = ['' for i in range(n)] mp = {} for i in range(n): link = s[i] j = link[7:].find('/') if j != -1: path[i] = link[j + 7:] name[i] = link[:j + 7] else: name[i] = link for i in range(n): if path[i] not in mp: mp[path[i]] = len(mp) h = {name[i] : 0 for i in range(n)} for i in range(n): h[name[i]] += p[mp[path[i]]] gp = {} for key, val in h.items(): if val in gp: gp[val].append(key) else: gp[val] = [key] ans = [] for key, val in gp.items(): if len(val) > 1: ans.append(val) print(len(ans)) for a in ans: print(' '.join(a)) ```
50,095
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` n=int(input()) d={}; D={}; ans=[] for _ in range(n): s=input()+'/'; t=s.find('/',7); d.setdefault(s[:t],set()).add(s[t:]) for k in d: D.setdefault(frozenset(d[k]),[]).append(k) [ans.append(D[k]) for k in D if len(D[k])>1] print(len(ans)) print('\n'.join(map(' '.join,ans))) ```
50,096
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` import sys from collections import defaultdict # sys.stdin = open("ivo.in") n = int(sys.stdin.readline()) h = defaultdict(set) for iter in range(n): entry = sys.stdin.readline().rstrip() + "/" path_start = 7 + entry[7:].index('/') hostname = entry[:path_start] path = entry[path_start:] h[hostname].add(path) res = defaultdict(list) for k, v in h.items(): res[frozenset(v)].append(k) output = [] for v in res.values(): if len(v) > 1: output.append(" ".join(v)) print(len(output)) for u in output: print(u) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` n=int(input()) d={} D={} for i in range(n): h,*p=(input()[7:]+'/').split('/') d.setdefault(h,set()).add('/'.join(p)) for x in d: t=tuple(sorted(d[x])) D.setdefault(t,[]).append(x) def ans(): for x in D: if len(D[x])>1: yield 'http://'+' http://'.join(D[x]) print(sum(1 for x in D if len(D[x])>1)) print('\n'.join(ans())) ```
50,098
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` from itertools import groupby web_addresses_number = int(input()) prephix = "http://" def split_address(address): host = "" path = "" address = address[7:] i = 0 while i < len(address) and address[i] != '/': host += address[i] i += 1 while i < len(address): path += address[i] i += 1 return (host, path) hosts = {} for i in range(web_addresses_number): host, path = split_address(input()) if host in hosts: hosts[host].add(path) else: hosts[host] = {path} groups = [] hosts = {host:"+".join(sorted(hosts[host])) for host in hosts} groping = groupby(sorted(hosts, key = lambda host: hosts[host]), key = lambda host: hosts[host]) for key, group in groping: g = list(group) if len(g) > 1: groups.append(g) print(len(groups)) [print(" ".join(map(lambda host: prephix + host, group))) for group in groups] ```
50,099
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` import sys n = int(input()) domains = {} for full_request in sys.stdin: request = full_request[7:-1] domain, sep, path = request.partition('/') if domain in domains: domains[domain].add(sep + path) else: domains[domain] = {sep + path} path_hashes = [] for domain, paths in domains.items(): path_hashes.append(('|'.join(sorted(paths)), domain)) sorted_hashes = sorted(path_hashes, key=lambda x: x[0]) previous_hash = None previous_domains = [] groups = [] for path_hash, domain in sorted_hashes: if previous_hash == path_hash: previous_domains.append(domain) else: previous_hash = path_hash if len(previous_domains) > 1: groups.append(previous_domains) previous_domains = [domain] if len(previous_domains) > 1: groups.append(previous_domains) print(len(groups)) print('\n'.join(map(lambda x: ' '.join(map(lambda y: 'http://' + y, x)), groups))) ```
50,100
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` n=int(input()) d={} D={} for i in range(n): h,*p=(input()[7:]+'/').split('/') d.setdefault(h,set()).add('/'.join(p)) for x in d: D.setdefault(frozenset(d[x]),[]).append(x) def ans(): for x in D: if len(D[x])>1: yield 'http://'+' http://'.join(D[x]) print(sum(1 for x in D if len(D[x])>1)) print('\n'.join(ans())) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. There are some websites that are accessible through several different addresses. For example, for a long time Codeforces was accessible with two hostnames codeforces.com and codeforces.ru. You are given a list of page addresses being queried. For simplicity we consider all addresses to have the form http://<hostname>[/<path>], where: * <hostname> — server name (consists of words and maybe some dots separating them), * /<path> — optional part, where <path> consists of words separated by slashes. We consider two <hostname> to correspond to one website if for each query to the first <hostname> there will be exactly the same query to the second one and vice versa — for each query to the second <hostname> there will be the same query to the first one. Take a look at the samples for further clarifications. Your goal is to determine the groups of server names that correspond to one website. Ignore groups consisting of the only server name. Please note, that according to the above definition queries http://<hostname> and http://<hostname>/ are different. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of page queries. Then follow n lines each containing exactly one address. Each address is of the form http://<hostname>[/<path>], where: * <hostname> consists of lowercase English letters and dots, there are no two consecutive dots, <hostname> doesn't start or finish with a dot. The length of <hostname> is positive and doesn't exceed 20. * <path> consists of lowercase English letters, dots and slashes. There are no two consecutive slashes, <path> doesn't start with a slash and its length doesn't exceed 20. Addresses are not guaranteed to be distinct. Output First print k — the number of groups of server names that correspond to one website. You should count only groups of size greater than one. Next k lines should contain the description of groups, one group per line. For each group print all server names separated by a single space. You are allowed to print both groups and names inside any group in arbitrary order. Examples Input 10 http://abacaba.ru/test http://abacaba.ru/ http://abacaba.com http://abacaba.com/test http://abacaba.de/ http://abacaba.ru/test http://abacaba.de/test http://abacaba.com/ http://abacaba.com/t http://abacaba.com/test Output 1 http://abacaba.de http://abacaba.ru Input 14 http://c http://ccc.bbbb/aba..b http://cba.com http://a.c/aba..b/a http://abc/ http://a.c/ http://ccc.bbbb http://ab.ac.bc.aa/ http://a.a.a/ http://ccc.bbbb/ http://cba.com/ http://cba.com/aba..b http://a.a.a/aba..b/a http://abc/aba..b/a Output 2 http://cba.com http://ccc.bbbb http://a.a.a http://a.c http://abc Tags: *special, binary search, data structures, implementation, sortings, strings Correct Solution: ``` import sys d = dict() b='/' for line in sys.stdin: line=line[:-1].split(b) host,coso=b.join(line[:3]), b.join(line[3:]) if len(line)>3: coso='/'+coso if len(line)>1: if host in d: d[host].append("I"+coso) else: d[host]=["I"+coso] for host in d: b = ',' d[host]=sorted(set(d[host])) d[host]=b.join(d[host]) d2=dict() for host in d: if d[host] in d2: d2[d[host]].append(host) else: d2[d[host]]=[host] print (sum([len(d2[x])>1 for x in d2])) for x in d2: ans = "" if len(d2[x])>1: for i in d2[x]: ans+=i+' ' print (ans) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have recently fallen through a hole and, after several hours of unconsciousness, have realized you are in an underground city. On one of your regular, daily walks through the unknown, you have encountered two unusually looking skeletons called Sanz and P’pairus, who decided to accompany you and give you some puzzles for seemingly unknown reasons. One day, Sanz has created a crossword for you. Not any kind of crossword, but a 1D crossword! You are given m words and a string of length n. You are also given an array p, which designates how much each word is worth — the i-th word is worth pi points. Whenever you find one of the m words in the string, you are given the corresponding number of points. Each position in the crossword can be used at most x times. A certain word can be counted at different places, but you cannot count the same appearance of a word multiple times. If a word is a substring of another word, you can count them both (presuming you haven’t used the positions more than x times). In order to solve the puzzle, you need to tell Sanz what’s the maximum achievable number of points in the crossword. There is no need to cover all postions, just get the maximal score! Crossword and words contain only lowercase English letters. Input The first line of the input contains a single integer n (1 ≤ n ≤ 500) — the length of the crossword. The second line contains the crossword string. The third line contains a single integer m (1 ≤ m ≤ 100) — the number of given words, and next m lines contain description of words: each line will have a string representing a non-empty word (its length doesn't exceed the length of the crossword) and integer pi (0 ≤ pi ≤ 100). Last line of the input will contain x (1 ≤ x ≤ 100) — maximum number of times a position in crossword can be used. Output Output single integer — maximum number of points you can get. Example Input 6 abacba 2 aba 6 ba 3 3 Output 12 Note For example, with the string "abacba", words "aba" (6 points) and "ba" (3 points), and x = 3, you can get at most 12 points - the word "aba" appears once ("abacba"), while "ba" appears two times ("abacba"). Note that for x = 1, you could get at most 9 points, since you wouldn’t be able to count both "aba" and the first appearance of "ba". Tags: flows Correct Solution: ``` import sys from heapq import heappop, heappush class Edge: def __init__(self, u, v, cap, flow, cost, rev) -> None: self.u = u self.v = v self.cap = cap self.flow = flow self.cost = cost self.rev = rev def add_edge(adj, u, v, capv, flowv, costv): if u == 6 and v == 7: foo = 0 adj[u].append(Edge(u, v, capv, flowv, costv, len(adj[v]))) adj[v].append(Edge(v, u, 0, flowv, -costv, len(adj[u])-1)) def match(crossword, cw_idx, word): for k in range(len(word)): if crossword[cw_idx + k] != word[k]: return False return True def read_input(): ''' 6 abacba 5 aba 6 ba 3 bac 4 cb 3 c 6 2 ''' n = int(sys.stdin.readline()) # n = int('6\n') crossword = sys.stdin.readline()[:-1] # crossword = 'abacba\n'[:-1] m = int(sys.stdin.readline()) # m = int('5\n') adj = [[] for _ in range(n+2)] # foo m_words = ["aba 6\n", "ba 3\n", "bac 4\n", "cb 3\n", "c 6"] # print(len(cost)) for idx in range(m): word, p = sys.stdin.readline().split() # word, p = m_words[idx].split() p = int(p) i = 0 while i + len(word) <= n: if match(crossword, i, word): u, v = i + 1, i + 1 + len(word) # print((u, v)) add_edge(adj, u, v, 1, 0, -p) i += 1 x = int(sys.stdin.readline()) # x = int('2\n') for i in range(n + 1): u, v = i, i + 1 # print((u, v)) add_edge(adj, u, v, x, 0, 0) return adj def bellman_ford(adj, potencial): for _ in range(len(adj)): for u in range(len(adj)): for e in adj[u]: reduced_cost = potencial[e.u] + e.cost - potencial[e.v] if e.cap > 0 and reduced_cost < 0: potencial[e.v] += reduced_cost def dijkstra(adj, potencial, dist, pi, s, t): oo = float('inf') for u in range(len(adj)): dist[u] = +oo pi[u] = None dist[s] = 0 heap = [(0, s)] while heap: du, u = heappop(heap) if dist[u] < du: continue if u == t: break for e in adj[u]: reduced_cost = potencial[e.u] + e.cost - potencial[e.v] if e.flow < e.cap and dist[e.v] > dist[e.u] + reduced_cost: dist[e.v] = dist[e.u] + reduced_cost heappush(heap, (dist[e.v], e.v)) pi[e.v] = e def min_cost_max_flow(adj): min_cost, max_flow = 0, 0 potencial, oo = [0] * len(adj), float('inf') dist, pi = [+oo] * len(adj), [None] * len(adj) bellman_ford(adj, potencial) s, t = 0, len(adj) - 1 while True: dijkstra(adj, potencial, dist, pi, s, t) if dist[t] == +oo: break for u in range(len(adj)): if dist[u] < dist[t]: potencial[u] += dist[u] - dist[t] limit, v = +oo, t while v: e = pi[v] limit = min(limit, e.cap - e.flow) v = e.u v = t while v: e = pi[v] e.flow += limit try: adj[v][e.rev].flow -= limit except: adj[v][e.rev].flow -= limit v = e.u min_cost += limit * (potencial[t] - potencial[s]) max_flow += limit # path = [] # v = t # while v: # path.append(v) # v = pi[v] # path.reverse() # print(path) return min_cost, max_flow adj = read_input() # print({ # 'len(adj)': len(adj), # 'len(cap)': len(cap), # 'len(cost)': len(cost) # }) # print({ 'adj': adj}) # print({ 'cap': cap}) # print({ 'cost': cost}) min_cost, _ = min_cost_max_flow(adj) print(-min_cost) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have recently fallen through a hole and, after several hours of unconsciousness, have realized you are in an underground city. On one of your regular, daily walks through the unknown, you have encountered two unusually looking skeletons called Sanz and P’pairus, who decided to accompany you and give you some puzzles for seemingly unknown reasons. One day, Sanz has created a crossword for you. Not any kind of crossword, but a 1D crossword! You are given m words and a string of length n. You are also given an array p, which designates how much each word is worth — the i-th word is worth pi points. Whenever you find one of the m words in the string, you are given the corresponding number of points. Each position in the crossword can be used at most x times. A certain word can be counted at different places, but you cannot count the same appearance of a word multiple times. If a word is a substring of another word, you can count them both (presuming you haven’t used the positions more than x times). In order to solve the puzzle, you need to tell Sanz what’s the maximum achievable number of points in the crossword. There is no need to cover all postions, just get the maximal score! Crossword and words contain only lowercase English letters. Input The first line of the input contains a single integer n (1 ≤ n ≤ 500) — the length of the crossword. The second line contains the crossword string. The third line contains a single integer m (1 ≤ m ≤ 100) — the number of given words, and next m lines contain description of words: each line will have a string representing a non-empty word (its length doesn't exceed the length of the crossword) and integer pi (0 ≤ pi ≤ 100). Last line of the input will contain x (1 ≤ x ≤ 100) — maximum number of times a position in crossword can be used. Output Output single integer — maximum number of points you can get. Example Input 6 abacba 2 aba 6 ba 3 3 Output 12 Note For example, with the string "abacba", words "aba" (6 points) and "ba" (3 points), and x = 3, you can get at most 12 points - the word "aba" appears once ("abacba"), while "ba" appears two times ("abacba"). Note that for x = 1, you could get at most 9 points, since you wouldn’t be able to count both "aba" and the first appearance of "ba". Tags: flows Correct Solution: ``` import sys from heapq import heappop, heappush class Edge: def __init__(self, u, v, cap, flow, cost, rev) -> None: self.u = u self.v = v self.cap = cap self.flow = flow self.cost = cost self.rev = rev def add_edge(adj, u, v, capv, flowv, costv): if u == 6 and v == 7: foo = 0 adj[u].append(Edge(u, v, capv, flowv, costv, len(adj[v]))) adj[v].append(Edge(v, u, 0, flowv, -costv, len(adj[u])-1)) def match(crossword, cw_idx, word): for k in range(len(word)): if crossword[cw_idx + k] != word[k]: return False return True def read_input(): ''' 6 abacba 5 aba 6 ba 3 bac 4 cb 3 c 6 2 ''' n = int(sys.stdin.readline()) # n = int('6\n') crossword = sys.stdin.readline()[:-1] # crossword = 'abacba\n'[:-1] m = int(sys.stdin.readline()) # m = int('5\n') adj = [[] for _ in range(n+2)] # foo m_words = ["aba 6\n", "ba 3\n", "bac 4\n", "cb 3\n", "c 6"] # print(len(cost)) for idx in range(m): word, p = sys.stdin.readline().split() # word, p = m_words[idx].split() p = int(p) i = 0 while i + len(word) <= n: if match(crossword, i, word): u, v = i + 1, i + 1 + len(word) # print((u, v)) add_edge(adj, u, v, 1, 0, -p) i += 1 x = int(sys.stdin.readline()) # x = int('2\n') for i in range(n + 1): u, v = i, i + 1 # print((u, v)) add_edge(adj, u, v, x, 0, 0) return adj def bellman_ford(adj, potencial): for _ in range(len(adj)): for u in range(len(adj)): for e in adj[u]: reduced_cost = potencial[e.u] + e.cost - potencial[e.v] if e.cap > 0 and reduced_cost < 0: potencial[e.v] += reduced_cost def dijkstra(adj, potencial, dist, pi, s, t): oo = float('inf') for u in range(len(adj)): dist[u] = +oo pi[u] = None dist[s] = 0 heap = [(0, s)] while heap: du, u = heappop(heap) if dist[u] < du: continue if u == t: break for e in adj[u]: reduced_cost = potencial[e.u] + e.cost - potencial[e.v] if e.flow < e.cap and dist[e.v] > dist[e.u] + reduced_cost: dist[e.v] = dist[e.u] + reduced_cost heappush(heap, (dist[e.v], e.v)) pi[e.v] = e def min_cost_max_flow(adj): min_cost, max_flow = 0, 0 potencial, oo = [0] * len(adj), float('inf') dist, pi = [+oo] * len(adj), [None] * len(adj) bellman_ford(adj, potencial) s, t = 0, len(adj) - 1 while True: dijkstra(adj, potencial, dist, pi, s, t) if dist[t] == +oo: break for u in range(len(adj)): if dist[u] < dist[t]: potencial[u] += dist[u] - dist[t] limit, v = +oo, t while v: e = pi[v] limit = min(limit, e.cap - e.flow) v = e.u v = t while v: e = pi[v] e.flow += limit try: adj[v][e.rev].flow -= limit except: adj[v][e.rev].flow -= limit v = e.u min_cost += limit * (potencial[t] - potencial[s]) max_flow += limit # path = [] # v = t # while v: # path.append(v) # v = pi[v].u # path.reverse() # print(path) return min_cost, max_flow adj = read_input() # print({ # 'len(adj)': len(adj), # 'len(cap)': len(cap), # 'len(cost)': len(cost) # }) # print({ 'adj': adj}) # print({ 'cap': cap}) # print({ 'cost': cost}) min_cost, _ = min_cost_max_flow(adj) print(-min_cost) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You have recently fallen through a hole and, after several hours of unconsciousness, have realized you are in an underground city. On one of your regular, daily walks through the unknown, you have encountered two unusually looking skeletons called Sanz and P’pairus, who decided to accompany you and give you some puzzles for seemingly unknown reasons. One day, Sanz has created a crossword for you. Not any kind of crossword, but a 1D crossword! You are given m words and a string of length n. You are also given an array p, which designates how much each word is worth — the i-th word is worth pi points. Whenever you find one of the m words in the string, you are given the corresponding number of points. Each position in the crossword can be used at most x times. A certain word can be counted at different places, but you cannot count the same appearance of a word multiple times. If a word is a substring of another word, you can count them both (presuming you haven’t used the positions more than x times). In order to solve the puzzle, you need to tell Sanz what’s the maximum achievable number of points in the crossword. There is no need to cover all postions, just get the maximal score! Crossword and words contain only lowercase English letters. Input The first line of the input contains a single integer n (1 ≤ n ≤ 500) — the length of the crossword. The second line contains the crossword string. The third line contains a single integer m (1 ≤ m ≤ 100) — the number of given words, and next m lines contain description of words: each line will have a string representing a non-empty word (its length doesn't exceed the length of the crossword) and integer pi (0 ≤ pi ≤ 100). Last line of the input will contain x (1 ≤ x ≤ 100) — maximum number of times a position in crossword can be used. Output Output single integer — maximum number of points you can get. Example Input 6 abacba 2 aba 6 ba 3 3 Output 12 Note For example, with the string "abacba", words "aba" (6 points) and "ba" (3 points), and x = 3, you can get at most 12 points - the word "aba" appears once ("abacba"), while "ba" appears two times ("abacba"). Note that for x = 1, you could get at most 9 points, since you wouldn’t be able to count both "aba" and the first appearance of "ba". Tags: flows Correct Solution: ``` import sys from heapq import heappop, heappush class Edge: def __init__(self, u, v, cap, flow, cost, rev): self.u = u self.v = v self.cap = cap self.flow = flow self.cost = cost self.rev = rev def add_edge(adj, u, v, capv, flowv, costv): adj[u].append(Edge(u, v, capv, flowv, costv, len(adj[v]))) adj[v].append(Edge(v, u, 0, flowv, -costv, len(adj[u])-1)) def match(crossword, cw_idx, word): for k in range(len(word)): if crossword[cw_idx + k] != word[k]: return False return True def read_input(): n = int(sys.stdin.readline()) crossword = sys.stdin.readline()[:-1] m = int(sys.stdin.readline()) adj = [[] for _ in range(n+2)] for _ in range(m): word, p = sys.stdin.readline().split() p = int(p) i = 0 while i + len(word) <= n: if match(crossword, i, word): u, v = i + 1, i + 1 + len(word) add_edge(adj, u, v, 1, 0, -p) i += 1 x = int(sys.stdin.readline()) for i in range(n + 1): u, v = i, i + 1 add_edge(adj, u, v, x, 0, 0) return adj def bellman_ford(adj): potential = [0] * len(adj) for _ in range(len(adj)): for u in range(len(adj)): for e in adj[u]: reduced_cost = potential[e.u] + e.cost - potential[e.v] if e.cap > 0 and reduced_cost < 0: potential[e.v] += reduced_cost return potential def dijkstra(adj, potential, s, t): oo = float('inf') dist, pi = [+oo] * len(adj), [None] * len(adj) dist[s] = 0 heap = [(0, s)] while heap: du, u = heappop(heap) if dist[u] < du: continue if u == t: break for e in adj[u]: reduced_cost = potential[e.u] + e.cost - potential[e.v] if e.cap - e.flow > 0 and dist[e.v] > dist[e.u] + reduced_cost: dist[e.v] = dist[e.u] + reduced_cost heappush(heap, (dist[e.v], e.v)) pi[e.v] = e return dist, pi def min_cost_max_flow(adj): min_cost, max_flow = 0, 0 oo = float('inf') potential = bellman_ford(adj) s, t = 0, len(adj) - 1 while True: dist, pi = dijkstra(adj, potential, s, t) if dist[t] == +oo: break for u in range(len(adj)): if dist[u] < dist[t]: potential[u] += dist[u] - dist[t] limit, v = +oo, t while v: e = pi[v] limit = min(limit, e.cap - e.flow) v = e.u v = t while v: e = pi[v] e.flow += limit adj[v][e.rev].flow -= limit v = e.u min_cost += limit * (potential[t] - potential[s]) max_flow += limit return min_cost, max_flow adj = read_input() min_cost, _ = min_cost_max_flow(adj) print(-min_cost) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` print('INTERCAL') ```
50,750
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` #!/usr/bin/env python from __future__ import division, print_function import math import os import sys from fractions import * from sys import * from io import BytesIO, IOBase from itertools import * from collections import * # sys.setrecursionlimit(10**5) if sys.version_info[0] < 3: from __builtin__ import xrange as range from future_builtins import ascii, filter, hex, map, oct, zip # sys.setrecursionlimit(10**6) # 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") def print(*args, **kwargs): """Prints the values to a stream, or to sys.stdout by default.""" sep, file = kwargs.pop("sep", " "), 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", "\n")) if kwargs.pop("flush", False): file.flush() if sys.version_info[0] < 3: sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) else: sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def inp(): return sys.stdin.readline().rstrip("\r\n") # for fast input def out(var): sys.stdout.write(str(var)) # for fast output, always take string def lis(): return list(map(int, inp().split())) def stringlis(): return list(map(str, inp().split())) def sep(): return map(int, inp().split()) def strsep(): return map(str, inp().split()) def fsep(): return map(float, inp().split()) def inpu(): return int(inp()) # ----------------------------------------------------------------- def regularbracket(t): p = 0 for i in t: if i == "(": p += 1 else: p -= 1 if p < 0: return False else: if p > 0: return False else: return True # ------------------------------------------------- def binarySearchCount(arr, n, key): left = 0 right = n - 1 count = 0 while (left <= right): mid = int((right + left) / 2) # Check if middle element is # less than or equal to key if (arr[mid] <= key): count = mid + 1 left = mid + 1 # If key is smaller, ignore right half else: right = mid - 1 return count # ------------------------------reverse string(pallindrome) def reverse1(string): pp = "" for i in string[::-1]: pp += i if pp == string: return True return False # --------------------------------reverse list(paindrome) def reverse2(list1): l = [] for i in list1[::-1]: l.append(i) if l == list1: return True return False def mex(list1): # list1 = sorted(list1) p = max(list1) + 1 for i in range(len(list1)): if list1[i] != i: p = i break return p def sumofdigits(n): n = str(n) s1 = 0 for i in n: s1 += int(i) return s1 def perfect_square(n): s = math.sqrt(n) if s == int(s): return True return False # -----------------------------roman def roman_number(x): if x > 15999: return value = [5000, 4000, 1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1] symbol = ["F", "MF", "M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I"] roman = "" i = 0 while x > 0: div = x // value[i] x = x % value[i] while div: roman += symbol[i] div -= 1 i += 1 return roman def soretd(s): for i in range(1, len(s)): if s[i - 1] > s[i]: return False return True # print(soretd("1")) # --------------------------- def countRhombi(h, w): ct = 0 for i in range(2, h + 1, 2): for j in range(2, w + 1, 2): ct += (h - i + 1) * (w - j + 1) return ct def countrhombi2(h, w): return ((h * h) // 4) * ((w * w) // 4) # --------------------------------- def binpow(a, b): if b == 0: return 1 else: res = binpow(a, b // 2) if b % 2 != 0: return res * res * a else: return res * res # ------------------------------------------------------- def binpowmodulus(a, b, m): a %= m res = 1 while (b > 0): if (b & 1): res = res * a % m a = a * a % m b >>= 1 return res # ------------------------------------------------------------- def coprime_to_n(n): result = n i = 2 while (i * i <= n): if (n % i == 0): while (n % i == 0): n //= i result -= result // i i += 1 if (n > 1): result -= result // n return result # -------------------prime def prime(x): if x == 1: return False else: for i in range(2, int(math.sqrt(x)) + 1): if (x % i == 0): return False else: return True def luckynumwithequalnumberoffourandseven(x, n, a): if x >= n and str(x).count("4") == str(x).count("7"): a.append(x) else: if x < 1e12: luckynumwithequalnumberoffourandseven(x * 10 + 4, n, a) luckynumwithequalnumberoffourandseven(x * 10 + 7, n, a) return a def luckynuber(x, n, a): p = set(str(x)) if len(p) <= 2: a.append(x) if x < n: luckynuber(x + 1, n, a) return a #------------------------------------------------------interactive problems def interact(type, x): if type == "r": inp = input() return inp.strip() else: print(x, flush=True) #------------------------------------------------------------------zero at end of factorial of a number def findTrailingZeros(n): # Initialize result count = 0 # Keep dividing n by # 5 & update Count while (n >= 5): n //= 5 count += n return count #-----------------------------------------------merge sort # Python program for implementation of MergeSort def mergeSort(arr): if len(arr) > 1: # Finding the mid of the array mid = len(arr) // 2 # Dividing the array elements L = arr[:mid] # into 2 halves R = arr[mid:] # Sorting the first half mergeSort(L) # Sorting the second half mergeSort(R) i = j = k = 0 # Copy data to temp arrays L[] and R[] while i < len(L) and j < len(R): if L[i] < R[j]: arr[k] = L[i] i += 1 else: arr[k] = R[j] j += 1 k += 1 # Checking if any element was left while i < len(L): arr[k] = L[i] i += 1 k += 1 while j < len(R): arr[k] = R[j] j += 1 k += 1 #-----------------------------------------------lucky number with two lucky any digits res = set() def solve(p, l, a, b,n):#given number if p > n or l > 10: return if p > 0: res.add(p) solve(p * 10 + a, l + 1, a, b,n) solve(p * 10 + b, l + 1, a, b,n) # problem """ n = int(input()) for a in range(0, 10): for b in range(0, a): solve(0, 0) print(len(res)) """ #----------------------------------------------- # endregion------------------------------ """ def main(): n = inpu() cnt=0 c = n if n % 7 == 0: print("7" * (n // 7)) else: while(c>0): c-=4 cnt+=1 if c%7==0 and c>=0: #print(n,n%4) print("4"*(cnt)+"7"*(c//7)) break else: if n % 4 == 0: print("4" * (n // 4)) else: print(-1) if __name__ == '__main__': main() """ """ def main(): n,t = sep() arr = lis() i=0 cnt=0 min1 = min(arr) while(True): if t>=arr[i]: cnt+=1 t-=arr[i] i+=1 else: i+=1 if i==n: i=0 if t<min1: break print(cnt) if __name__ == '__main__': main() """ # Python3 program to find all subsets # by backtracking. # In the array A at every step we have two # choices for each element either we can # ignore the element or we can include the # element in our subset def subsetsUtil(A, subset, index,d): print(*subset) s = sum(subset) d.append(s) for i in range(index, len(A)): # include the A[i] in subset. subset.append(A[i]) # move onto the next element. subsetsUtil(A, subset, i + 1,d) # exclude the A[i] from subset and # triggers backtracking. subset.pop(-1) return d def subsetSums(arr, l, r,d, sum=0): if l > r: d.append(sum) return subsetSums(arr, l + 1, r,d, sum + arr[l]) # Subset excluding arr[l] subsetSums(arr, l + 1, r,d, sum) return d """ def main(): t = inpu() for _ in range(t): n = inpu() arr=[] subset=[] i=0 l=[] for j in range(26): arr.append(3**j) if __name__ == '__main__': main() """ """ def main(): n = int(input()) cnt=1 if n==1: print(1) else: for i in range(1,n): cnt+=i*12 print(cnt) if __name__ == '__main__': main() """ def main(): print("INTERCAL") if __name__ == '__main__': main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ print("INTERCAL") # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ ```
50,752
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` n=input();print("INTERCAL") ```
50,753
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` n=input() print("INTERCAL") ```
50,754
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. Input This program has only one test, and it's empty (it doesn't give your program anything to read). Output Output the name of the mysterious language. Examples Tags: *special Correct Solution: ``` #Fun.... print('INTERCAL') ```
50,755
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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: ``` def main(): n, k = map(int, input().split()) if n < k or k == 1 < n: print(-1) elif (n - k) & 1: print('ab' * ((n - k + 1) // 2) + 'acdefghijklmnopqrstuvwxyz'[:k - 1]) else: print('ab' * ((n - k) // 2) + 'abcdefghijklmnopqrstuvwxyz'[:k]) if __name__ == '__main__': main() ```
50,792
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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: print(-1) elif n==1 and k==1: print("a") elif k==1: print(-1) else: ans="" k=k-2 n=n-k z=99 if n%2==0: ans+="ab"*(n//2) while(k>0): ans+=chr(z) z+=1 k-=1 else: x=99 ans+="ab"*(n//2) ans+="a" while(k>0): ans += chr(x) x+= 1 k-=1 print(ans) ```
50,794
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` n = int(input()) s = input() l = ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] for given in l: if len(given) != len(s): continue istrue = 1 for i in range(0, n): if given[i] != s[i] and s[i] != '.': istrue = 0 break if (istrue): print (given) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` '''input 7 .l.r.o. ''' n = int(input()) s = input() l = [i for i in ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] if len(i) == n] for x in l: for y in range(n): if all(s[y] == x[y] for y in range(n) if s[y] != "."): print(x) break ```
50,863
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Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` n = int(input()) s = input() a = ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] for i in a: if (len(i) != len(s)): continue b = True for j in range(len(s)): if (s[j] != '.' and i[j] != '.' and s[j] != i[j]): b = False if b: print(i) exit(0) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` #!/usr/bin/env python3 import re def main(): input() p = re.compile(input()) pokemons = ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] pokemons = sorted(pokemons, key=len) for x in pokemons: if p.match(x): print(x) break if __name__ == '__main__': main() ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` l_6 = ["espeon"] l_7 = ["jolteon", "flareon", "umbreon", "leafeon", "glaceon", "sylveon"] l_8 = ["vaporeon"] input_length = input() input_string = input() if input_length == "6": print(l_6[0]) elif input_length == "8": print(l_8[0]) else: for x in l_7: for y in range(0,7): if(input_string[y] != '.' and input_string[y] != x[y]): break if (y == 6): print(x) ```
50,866
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` def match(s, p): if len(s) != len(p): return False for chs, chp in zip(s, p): if chs != '.' and chs != chp: return False return True n = int(input()) s = input() for p in ['vaporeon', 'jolteon', 'flareon', 'espeon', 'umbreon', 'leafeon', 'glaceon', 'sylveon'\ ]: if match(s, p): print(p) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` import sys def get_single_int (): return int (sys.stdin.readline ().strip ()) def get_string (): return sys.stdin.readline ().strip () def get_ints (): return map (int, sys.stdin.readline ().strip ().split ()) def get_list (): return list (map (int, sys.stdin.readline ().strip ().split ())) #code starts here def unique (n) : if n == 8: print ("vaporeon") else: print ("espeon") def same (names): for j in names: if j [i] != s [i]: try: names_copy.remove (j) except: continue n = get_single_int () s = get_string () names = [ "jolteon", "flareon", "umbreon", "leafeon", "glaceon", "sylveon"] names_copy = [ "jolteon", "flareon", "umbreon", "leafeon", "glaceon", "sylveon"] if (n == 6 or n == 8): unique (n) else : for i in range (7): if s [i] == '.': continue else: same (names) print (names_copy [0]) ```
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6
Provide tags and a correct Python 3 solution for this coding contest problem. You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon. You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. Input First line contains an integer n (6 ≤ n ≤ 8) – the length of the string. Next line contains a string consisting of n characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). Output Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). Examples Input 7 j...... Output jolteon Input 7 ...feon Output leafeon Input 7 .l.r.o. Output flareon Note Here's a set of names in a form you can paste into your solution: ["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] {"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} Tags: brute force, implementation, strings Correct Solution: ``` def prov(s2): global s1 if len(s1)!=len(s2): return False for i in range(len(s1)): if s1[i]!=s2[i] and s1[i]!='.': return False print(s2) exit(0) n=int(input()) s1=input().strip() b=["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"] for i in b: prov(i) ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 QS = [[] for i in range(17)] QS[1] = [a, b, c, d] L = {a: 1, b: 1, c: 1, d: 1, e: 1, e: 1, 0: 1} H = [] get = L.get push = H.append for l in range(1, 16): Q = QS[l] li = 13-l; l3 = l+3; l1 = l+1 pop = Q.pop pushQN = QS[l1].append while Q: p = pop() if L[p] < l: continue if l1 < get(p ^ e, 17): L[p ^ e] = l1 l < 12 and pushQN(p ^ e) if l < 13: for q, r in H: if r < li: if l3+r < get(p & q, 17): L[p & q] = l3+r; QS[l3+r].append(p & q) if l3+r < get(p ^ q, 17): L[p ^ q] = l3+r; QS[l3+r].append(p ^ q) elif r == li: if p & q not in L: L[p & q] = 16 if p ^ q not in L: L[p ^ q] = 16 else: break if l < 7: push((p, l)) print(*map(L.__getitem__, eval("e&"+",e&".join(open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]))),sep='\n') ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` def calc(s): def parse(a, b, c, d): nonlocal cur g = s[cur]; cur += 1 if g == '-': return 1 ^ parse(a, b, c, d) if g == '(': p = parse(a, b, c, d) cmd = s[cur]; cur += 1 q = parse(a, b, c, d) cur += 1 # ')' return p ^ q if cmd == '^' else p & q return eval(g) res = 0 for b in range(16): cur = 0 if parse(*map(int, format(b, '04b'))): res += 1 << b return res base = "abcd10" L = {} for e in base: state = calc(e) L[state] = 1 ALL = 2**16-1 MAX = 10**18 for i in range(6): R = dict(L) for p in R: if R[p] < 16: L[p ^ ALL] = min(L.get(p ^ ALL, MAX), R[p] + 1) if R[p]+3 < 16: for q in R: if R[p] + R[q] + 3 <= 16: L[p & q] = min(L.get(p & q, MAX), R[p] + R[q] + 3) L[p ^ q] = min(L.get(p ^ q, MAX), R[p] + R[q] + 3) while 1: s = input() if s == '.': break print(L[calc(s)]) ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 L = {el: 1 for el in [a, b, c, d, e, 0]} for i in range(6): R = sorted(L.items(), key=lambda x: x[1]) for p, l in R: if l < 16: L[p ^ e] = min(L.get(p ^ e, 16), l+1) if l+3 < 16: for q, r in R: if l+r+3 <= 16: L[p & q] = min(L.get(p & q, 16), l+r+3) L[p ^ q] = min(L.get(p ^ q, 16), l+r+3) else: break else: break print(*(L[e & eval(s)] for s in open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]),sep='\n') ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 def calc(s): res = eval(s.replace("-", "~").replace("*", "&").replace("1", "e")) return e ^ ~res if res < 0 else res base = [a, b, c, d, e, 0] L = {el: 1 for el in base} for i in range(6): R = dict(L) for p in R: if R[p] < 16: L[p ^ e] = min(L.get(p ^ e, 16), R[p] + 1) if R[p]+3 < 16: for q in R: if R[p] + R[q] + 3 <= 16: L[p & q] = min(L.get(p & q, 16), R[p] + R[q] + 3) L[p ^ q] = min(L.get(p ^ q, 16), R[p] + R[q] + 3) while 1: s = input() if s == '.': break print(L[calc(s)]) ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 from heapq import heappush, heappop base = [a, b, c, d, e, 0] Q = [(1, el) for el in base] L = {el: 1 for el in base} H = [] while Q: l, p = heappop(Q) if L[p] < l: continue if l+1 < L.get(p ^ e, 17): L[p^e] = l+1 if l+1 < 16: heappush(Q, (l+1, p^e)) if l+3 < 16: for q, r in H: if l+r+3 <= 16: if l+r+3 < L.get(p & q, 17): L[p & q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p & q)) if l+r+3 < L.get(p ^ q, 17): L[p ^ q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p ^ q)) else: break if l < 7: H.append((p, l)) print(*(L[e & eval(s)] for s in open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]),sep='\n') ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 from heapq import heappush, heappop base = [a, b, c, d, e, 0] Q = [(1, el) for el in base] L = {el: 1 for el in base} H = [] get = L.get push = H.append while Q: l, p = heappop(Q) if L[p] < l: continue if l+1 < get(p ^ e, 17): L[p ^ e] = l+1 if l+1 < 16: heappush(Q, (l+1, p ^ e)) if l+3 < 16: for q, r in H: if l+r+3 <= 16: if l+r+3 < get(p & q, 17): L[p & q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p & q)) if l+r+3 < get(p ^ q, 17): L[p ^ q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p ^ q)) else: break if l < 7: push((p, l)) print(*map(L.__getitem__, eval("e&%s"%",e&".join(open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]))),sep='\n') ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 QS = [[] for i in range(17)] QS[1] = [a, b, c, d] L = {a: 1, b: 1, c: 1, d: 1, e: 1, e: 1, 0: 1} H = [] get = L.get push = H.append for l in range(1, 16): Q = QS[l] QN = QS[l+1] while Q: p = Q.pop() if L[p] < l: continue if l+1 < get(p ^ e, 17): L[p ^ e] = l+1 l < 15 and QN.append(p ^ e) if l < 13: li = 13-l; l3 = 3+l for q, r in H: if r < li: k = p & q if r < get(k, 17)-l3: L[k] = l3+r; QS[l3+r].append(k) k = p ^ q if r < get(k, 17)-l3: L[k] = l3+r; QS[l3+r].append(k) elif r == li: if p & q not in L: L[p & q] = 16 if p ^ q not in L: L[p ^ q] = 16 else: break if l < 7: push((p, l)) print(*map(L.__getitem__, eval("e&"+",e&".join(open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]))),sep='\n') ```
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6
Provide a correct Python 3 solution for this coding contest problem. Boolean Expression Compressor You are asked to build a compressor for Boolean expressions that transforms expressions to the shortest form keeping their meaning. The grammar of the Boolean expressions has terminals `0` `1` `a` `b` `c` `d` `-` `^` `*` `(` `)`, start symbol <E> and the following production rule: > <E> ::= `0` | `1` | `a` | `b` | `c` | `d` | `-`<E> | `(`<E>`^`<E>`)` | `(`<E>`*`<E>`)` Letters `a`, `b`, `c` and `d` represent Boolean variables that have values of either `0` or `1`. Operators are evaluated as shown in the Table below. In other words, `-` means negation (NOT), `^` means exclusive disjunction (XOR), and `*` means logical conjunction (AND). Table: Evaluations of operators <image> Write a program that calculates the length of the shortest expression that evaluates equal to the given expression with whatever values of the four variables. For example, `0`, that is the first expression in the sample input, cannot be shortened further. Therefore the shortest length for this expression is 1. For another example, `(a*(1*b))`, the second in the sample input, always evaluates equal to `(a*b)` and `(b*a)`, which are the shortest. The output for this expression, thus, should be `5`. Input The input consists of multiple datasets. A dataset consists of one line, containing an expression conforming to the grammar described above. The length of the expression is less than or equal to 16 characters. The end of the input is indicated by a line containing one ‘`.`’ (period). The number of datasets in the input is at most 200. Output For each dataset, output a single line containing an integer which is the length of the shortest expression that has the same value as the given expression for all combinations of values in the variables. Sample Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output for the Sample Input 1 5 2 1 13 Example Input 0 (a*(1*b)) (1^a) (-(-a*-b)*a) (a^(b^(c^d))) . Output 1 5 2 1 13 "Correct Solution: ``` a=65280; b=61680; c=52428; d=43690; e=65535 from heapq import heappush, heappop base = [a, b, c, d, e, 0] Q = [(1, el) for el in base] L = {el: 1 for el in base} H = [] while Q: l, p = heappop(Q) if L[p] < l: continue if l+1 < L.get(p ^ e, 17): L[p ^ e] = l+1 if l+1 < 16: heappush(Q, (l+1, p ^ e)) if l+3 < 16: for q, r in H: if l+r+3 <= 16: if l+r+3 < L.get(p & q, 17): L[p & q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p & q)) if l+r+3 < L.get(p ^ q, 17): L[p ^ q] = l+r+3 if l+r+3 < 16: heappush(Q, (l+r+3, p ^ q)) else: break if l < 7: H.append((p, l)) print(*map(L.__getitem__, eval("e&%s"%",e&".join(open(0).read().replace(*"-~").replace(*"*&").replace(*"1e").split()[:-1]))),sep='\n') ```
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