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Provide tags and a correct Python 3 solution for this coding contest problem. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Tags: binary search, bitmasks, brute force, greedy, implementation, strings Correct Solution: ``` a = input() print( max(a) * a.count(max(a))) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Tags: binary search, bitmasks, brute force, greedy, implementation, strings Correct Solution: ``` #!/usr/bin/python3.5 s=input() l=list(s) l.sort() k=l[-1] for i in l[::-1]: if i!=k: break else: print(k,end='') ```
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Provide tags and a correct Python 3 solution for this coding contest problem. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Tags: binary search, bitmasks, brute force, greedy, implementation, strings Correct Solution: ``` y=input() print( max(y)*y.count(max(y)) ) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` s=input() ch=(max(s)) t=s.count(ch) for i in range (t): print(ch,end='') ``` Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` def solve(s): s = sorted(s, reverse=True) res = s[0] c = s[0] for i in range(1,len(s)): if s[i] == c: res += s[i] else: break return res def main(): s = input() print(solve(s)) main() ``` Yes
15,350
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` s = input() m = max(s) n = sum(map(lambda x: x==m, s)) print(m*n) ``` Yes
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0
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` import sys from functools import reduce from collections import Counter import time import datetime from math import sqrt,gcd # def time_t(): # print("Current date and time: " , datetime.datetime.now()) # print("Current year: ", datetime.date.today().strftime("%Y")) # print("Month of year: ", datetime.date.today().strftime("%B")) # print("Week number of the year: ", datetime.date.today().strftime("%W")) # print("Weekday of the week: ", datetime.date.today().strftime("%w")) # print("Day of year: ", datetime.date.today().strftime("%j")) # print("Day of the month : ", datetime.date.today().strftime("%d")) # print("Day of week: ", datetime.date.today().strftime("%A")) def ip(): return int(sys.stdin.readline()) def sip(): return sys.stdin.readline() def mip(): return map(int,sys.stdin.readline().split()) def mips(): return map(str,sys.stdin.readline().split()) def lip(): return list(map(int,sys.stdin.readline().split())) def matip(n,m): lst=[] for i in range(n): arr = lip() lst.insert(i,arr) return lst def factors(n): # find the factors of a number return list(set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))) def minJumps(arr, n): #to reach from 0 to n-1 in the array in minimum steps jumps = [0 for i in range(n)] if (n == 0) or (arr[0] == 0): return float('inf') jumps[0] = 0 for i in range(1, n): jumps[i] = float('inf') for j in range(i): if (i <= j + arr[j]) and (jumps[j] != float('inf')): jumps[i] = min(jumps[i], jumps[j] + 1) break return jumps[n-1] def dic(arr): # converting list into dict of count return Counter(arr) def check_prime(n): if n<2: return False for i in range(2,int(n**(0.5))+1,2): if n%i==0: return False return True # --------------------------------------------------------- # # sys.stdin = open('input.txt','r') # sys.stdout = open('output.txt','w') # --------------------------------------------------------- # s = sip() lst = [] for item in s: lst.append(item) lst.sort() val = lst.count(lst[-1]) print(lst[-1]*val) ``` Yes
15,352
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` s=input() max=0 for i in s: if ord(i)>max: max=ord(i) x=i a=s.count(x) print((chr(max))*2) ``` No
15,353
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` from itertools import chain, combinations def fun(iterable): lst = list(iterable) return chain.from_iterable(combinations(lst, n) for n in range(len(lst) + 1)) s = input() t = '' for elem in fun(s): x, y = ''.join(s), ''.join(s[::-1]) if x == y and x > t: t = x print(t) ``` No
15,354
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` from collections import Counter c = Counter(input()) for letter, count in c.most_common(1): print(letter*count) ``` No
15,355
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline. You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence. We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba". String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post". String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z". Input The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10. Output Print the lexicographically largest palindromic subsequence of string s. Examples Input radar Output rr Input bowwowwow Output wwwww Input codeforces Output s Input mississipp Output ssss Note Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr". Submitted Solution: ``` s = input() lista = [] for i in s: lista.append(i) for i in range(len(s)): for j in range(i+1, len(s)): lista.append(s[i]+s[j]) for k in range(j+1, len(s)): lista.append(s[i]+s[j]+s[k]) for p in range(k+1, len(s)): lista.append(s[i]+s[j]+s[k]+s[p]) for m in range(p+1, len(s)): lista.append(s[i]+s[j]+s[k]+s[p]+s[m]) for n in range(m+1, len(s)): lista.append(s[i]+s[j]+s[k]+s[p]+s[m]+s[n]) for o in range(n+1, len(s)): lista.append(s[i]+s[j]+s[k]+s[p]+s[m]+s[n]+s[o]) for w in range(o+1, len(s)): lista.append(s[i]+s[j]+s[k]+s[p]+s[m]+s[n]+s[o]+s[w]) lista.sort() print(lista[-1]) ``` No
15,356
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` #Not actually my code, solved mentally, only submitting to mark as solved so I don't do it again. def gen(i, j): if a[i][j] == -1: a[i][j] = max(gen(i - 1, j - 1) + s2[i - 1] * (s2[i - 1] == s1[j - 1]), gen(i - 1, j), gen(i, j - 1), key = lambda x: [len(x), -x.count(viru)]) return a[i][j] s1, s2, viru = [input() for x in range(3)] a = [[''] * (len(s1) + 1)] + [[''] + [-1] * (len(s1)) for x in range(len(s2))] ans = gen(len(s2), len(s1)) while viru in ans: ans = min(ans.replace(viru, viru[:-1]), ans.replace(viru, viru[1:]), key = lambda x: x.count(viru)) print(ans + '0' * (ans == '')) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` def dfs(i, j): if a[i][j] != -1: return a[i][j] d1 = dfs(i - 1, j - 1) + (s1[i - 1] == s2[j - 1]) * s1[i - 1] d2 = dfs(i - 1, j) d3 = dfs(i, j - 1) a[i][j] = max(d1, d2, d3, key=lambda x: [len(x), -x.count(virus)]) return a[i][j] s1, s2, virus = input(), input(), input() #s1, s2, virus = 'SLO', 'LL', 'asda' n1, n2 = len(s1), len(s2) a = [[''] * (n2 + 1)] + [[''] + [-1] * n2 for i in range(n1)] #a[1][0] = 'hjkhj' ans = dfs(n1, n2) while virus in ans: ans = min(ans.replace(virus, virus[:-1]), ans.replace(virus, virus[1:]), key=lambda x: x.count(virus)) print(0 if ans == '' else ans) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` s1, s2, virus = [input().strip() for _ in range(3)] n, m, v = len(s1), len(s2), len(virus) # preprocessing (inneficient, but |virus| is small) next_suffix = [v - 1 for i in range(v - 1)] + [v] for i in range(v - 1): j = v - i - 2 while j > 0: if virus[i + 1:i + 1 + j] == virus[-j:]: next_suffix[i] = v - j - 1 break j -= 1 def memoize(function): memo = dict() def memoized(*args): if args in memo: return memo[args] ans = function(*args) memo[args] = ans return ans return memoized @memoize def lcs(i, j, k): if k < 0: return (float("-inf"), "") if i < 0 or j < 0: return (0, "") if s1[i] == s2[j]: if s1[i] != virus[k]: newk = k while newk < v and virus[newk] != s1[i]: newk = next_suffix[newk] r = lcs(i - 1, j - 1, newk - 1) # this is wrong, cant reset to v-1 return (r[0] + 1, r[1] + s1[i]) else: r1 = lcs(i - 1, j - 1, k - 1) r1 = (r1[0] + 1, r1[1] + s1[i]) r2 = lcs(i - 1, j - 1, k) return max(r1, r2, key=lambda x: x[0]) return max(lcs(i, j - 1, k), lcs(i - 1, j, k), key=lambda x: x[0]) ans = lcs(n - 1, m - 1, v - 1) if ans[0] > 0: print(ans[1]) else: print(0) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` a, b, v = input(), input(), input() h = [[-1] * len(b) for i in range(len(a))] def f(ab): return ab.count(v) def g(i, j): if i < 0 or j < 0: return "" if h[i][j] == -1: s = g(i - 1, j - 1) if (a[i] == b[j]): s += a[i] s1 = g(i - 1, j) s2 = g(i, j - 1) if (len(s1) - f(s1) > len(s) - f(s)): s = s1 if (len(s2) - f(s2) > len(s) - f(s)): s = s2 h[i][j] = s; return h[i][j] ss = g(len(a) - 1, len(b) - 1) while v in ss : ss1 = ss.replace(v, v[:-1]) ss2 = ss.replace(v, v[1:]) if (f(ss1) < f(ss2)): ss = ss1 else: ss = ss2 if len(ss) > 0: print(ss) else: print(0) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` def Solve(x,y,c): if(c==len(virus)): return 0 if(x==len(s1) or y==len(s2)): return "" if((x,y,c) in Mem): return Mem[(x,y,c)] ans="" if(s1[x]==s2[y]): q=0 if(s1[x]==virus[c]): q=Solve(x+1,y+1,c+1) if(q!=0): q=s1[x]+q else: done=False for match in T[c]: if(s1[x]==virus[match]): done=True q=Solve(x+1,y+1,match+1) if(q!=0): q=s1[x]+q break if(not done): q=Solve(x+1,y+1,0) if(q!=0): q=s1[x]+q if(q!=0): ans=q q=Solve(x+1,y,c) if(q!=0): ans=max(ans,Solve(x+1,y,c),key=len) q=Solve(x,y+1,c) if(q!=0): ans=max(ans,Solve(x,y+1,c),key=len) Mem[(x,y,c)]=ans return ans Mem={} s1=input() s2=input() virus=input() T=[0]*len(virus) T[0]=[0] for i in range(1,len(virus)): done=False T[i]=[] for j in range(1,i): if(virus[j:i]==virus[:i-j]): T[i].append(i-j) T[i].append(0) e=Solve(0,0,0) if(e==""): print(0) else: print(Solve(0,0,0)) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` s1, s2, virus = [input().strip() for _ in range(3)] n, m, v = len(s1), len(s2), len(virus) # preprocessing (inneficient, but |virus| is small) next_suffix = [v - 1 for i in range(v - 1)] + [v] for i in range(v - 1): j = v - i - 2 while j > 0: if virus[i + 1:i + 1 + j] == virus[-j:]: next_suffix[i] = v - j - 1 break j -= 1 def memoize(function): memo = dict() def memoized(*args): if args in memo: return memo[args] ans = function(*args) memo[args] = ans return ans return memoized @memoize def lcs(i, j, k): if k < 0: return (float("-inf"), "") if i < 0 or j < 0: return (0, "") if s1[i] == s2[j]: if s1[i] != virus[k]: newk = k while newk < v and virus[newk] != s1[i]: newk = next_suffix[newk] r = lcs(i - 1, j - 1, newk - 1) return (r[0] + 1, r[1] + s1[i]) else: r1 = lcs(i - 1, j - 1, k - 1) r1 = (r1[0] + 1, r1[1] + s1[i]) r2 = lcs(i - 1, j - 1, k) return max(r1, r2, key=lambda x: x[0]) return max(lcs(i, j - 1, k), lcs(i - 1, j, k), key=lambda x: x[0]) ans = lcs(n - 1, m - 1, v - 1) if ans[0] > 0: print(ans[1]) else: print(0) # 1540312184891 ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` s1, s2, virus = [input().strip() for _ in range(3)] n, m, v = len(s1), len(s2), len(virus) next_suffix = [v for i in range(v)] for i in range(v-2, -1, -1): j = next_suffix[i + 1] while j <= v-1 and virus[j] != virus[i + 1]: j = next_suffix[j] next_suffix[i] = j - 1 # print(virus, next_suffix) # j = v - 1 - i - 1 # while j > 0: # if virus[i + 1:i + 1 + j] == virus[-j:]: # next_suffix[i] = v - j - 1 # break # j -= 1 def memoize(function): memo = dict() def memoized(*args): if args in memo: return memo[args] ans = function(*args) memo[args] = ans return ans return memoized @memoize def lcs(i, j, k): if k < 0: return (float("-inf"), "") if i < 0 or j < 0: return (0, "") if s1[i] == s2[j]: if s1[i] != virus[k]: newk = k while newk < v and virus[newk] != s1[i]: newk = next_suffix[newk] r = lcs(i - 1, j - 1, newk - 1) return (r[0] + 1, r[1] + s1[i]) else: r1 = lcs(i - 1, j - 1, k - 1) r1 = (r1[0] + 1, r1[1] + s1[i]) r2 = lcs(i - 1, j - 1, k) return max(r1, r2, key=lambda x: x[0]) return max(lcs(i, j - 1, k), lcs(i - 1, j, k), key=lambda x: x[0]) ans = lcs(n - 1, m - 1, v - 1) if ans[0] > 0: print(ans[1]) else: print(0) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Tags: dp, strings Correct Solution: ``` a, b, v = input(), input(), input() t = [[-1] * len(b) for x in range(len(a))] def g(i, j): if i < 0 or j < 0: return '' if t[i][j] == -1: s = g(i - 1, j - 1) if a[i] == b[j]: s += a[i] t[i][j] = max(s, g(i - 1, j), g(i, j - 1), key=lambda q: len(q) - q.count(v)) return t[i][j] s = g(len(a) - 1, len(b) - 1) while v in s: s = min(s.replace(v, v[:-1]), s.replace(v, v[1:]), key=lambda q: q.count(v)) print(s if s else 0) # Made By Mostafa_Khaled ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` A = input() B = input() virus = input() # DP[i][j][k] maximum length of common subsquence you can construct with A[i:], B[j:], having exactly k letter of the virus so far # DP[0][0][0] piTable = [0] * len(virus) # ERROR 1 : this error though :((( j = 0 for i in range(1, len(virus)): while (virus[i] != virus[j] and j != 0): j = piTable[j - 1] if virus[i] == virus[j]: piTable[i] = j + 1 j += 1 else: piTable[i] = 0 memo = {} parent = {} def dp(i, j, k): # print(i, j, k) if k == len(virus): return -10000 if i == len(A): return 0 if j == len(B): return 0 if (i, j, k) in memo: return memo[(i, j, k)] choices = [dp(i + 1, j, k), dp(i, j + 1, k)] new_k = k if A[i] == B[j]: if A[i] == virus[k]: choices.append(dp(i + 1, j + 1, k + 1) + 1) new_k = k + 1 else: # A[i] = j # k=6, virus=abcjabcxxxxx virus[k]=x # A[i] != virus[k] while (A[i] != virus[new_k] and new_k != 0): new_k = piTable[new_k - 1] if A[i] == virus[new_k]: # ERROR 2 : messed up with new_k and k, as well forgot updating new_k ... new_k += 1 choices.append(dp(i + 1, j + 1, new_k) + 1) else: choices.append(dp(i + 1, j + 1, 0) + 1) memo[(i, j, k)] = max(choices) index = choices.index(memo[(i, j, k)]) if index == 0: parent[(i, j, k)] = (i + 1, j, k) elif index == 1: parent[(i, j, k)] = (i, j + 1, k) else: parent[(i, j, k)] = (i + 1, j + 1, new_k) # print(i,j,k) return memo[(i, j, k)] max_size_subsequence = dp(0, 0, 0) if max_size_subsequence == 0: print(0) else: # construct answer ANSWER = "" current_state = (0, 0, 0) next_state = None while current_state != None: next_state = parent[current_state] if current_state in parent else None if next_state is None: break # (i,j,k) -> (i+1,j+1,k') if next_state[0] == current_state[0] + 1 and next_state[1] == current_state[1] + 1: ANSWER += A[current_state[0]] current_state = next_state print(ANSWER) ``` Yes
15,399
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` a, b, s = input(), input(), input() i = 0 p = [-1] + [0] * len(s) for j in range(1, len(s)): while i + 1 and s[i] != s[j]: i = p[i] i += 1 p[j + 1] = i f = lambda a, b: a if len(a) > len(b) else b g = lambda: [[''] * len(s) for i in range(len(b) + 1)] u, v = g(), g() for x in a: for i, y in enumerate(b): v[i] = [f(x, y) for x, y in zip(u[i], v[i - 1])] if x == y: for k, n in enumerate(u[i - 1]): while k > -1 and x != s[k]: k = p[k] k += 1 if k < len(s): v[i][k] = f(v[i][k], n + x) u, v = v, g() t = max(u[-2], key=lambda q: len(q)) print(t if t else 0) ``` Yes
15,400
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0
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` a, b, v = input(), input(), input() t = [[-1] * len(b) for x in range(len(a))] def g(i, j): if i < 0 or j < 0: return '' if t[i][j] == -1: s = g(i - 1, j - 1) if a[i] == b[j]: s += a[i] t[i][j] = max(s, g(i - 1, j), g(i, j - 1), key=lambda q: len(q) - q.count(v)) return t[i][j] s = g(len(a) - 1, len(b) - 1) while v in s: s = min(s.replace(v, v[:-1]), s.replace(v, v[1:]), key=lambda q: q.count(v)) print(s if s else 0) ``` Yes
15,401
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` s1, s2, virus = [input().strip() for _ in range(3)] n, m, v = len(s1), len(s2), len(virus) # preprocessing (inneficient, but |virus| is small) next_suffix = [v - 1 for i in range(v - 1)] + [v] for i in range(v - 1): j = v - 1 - i - 1 while j > 0: if virus[i + 1:i + 1 + j] == virus[-j:]: next_suffix[i] = v - j - 1 break j -= 1 def memoize(function): memo = dict() def memoized(*args): if args in memo: return memo[args] ans = function(*args) memo[args] = ans return ans return memoized @memoize def lcs(i, j, k): if k < 0: return (float("-inf"), "") if i < 0 or j < 0: return (0, "") if s1[i] == s2[j]: if s1[i] != virus[k]: newk = k while newk < v and virus[newk] != s1[i]: newk = next_suffix[newk] r = lcs(i - 1, j - 1, newk - 1) return (r[0] + 1, r[1] + s1[i]) else: r1 = lcs(i - 1, j - 1, k - 1) r1 = (r1[0] + 1, r1[1] + s1[i]) r2 = lcs(i - 1, j - 1, k) return max(r1, r2, key=lambda x: x[0]) return max(lcs(i, j - 1, k), lcs(i - 1, j, k), key=lambda x: x[0]) ans = lcs(n - 1, m - 1, v - 1) if ans[0] > 0: print(ans[1]) else: print(0) ``` Yes
15,402
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` def backtrk(arr, l1, l2, lcs, s1, s2): while l1 > 0 and l2 > 0: if s2[l1-1] == s1[l2-1]: lcs.append(s2[l1-1]) l1 -= 1 l2 -= 1 elif arr[l1-1][l2] > arr[l1][l2-1]: l1 -= 1 else: l2 -= 1 s1 = list(input()) s2 = list(input()) virus = list(input()) arr, lcs= [], [] arr.append([0 for i in range(len(s1)+1)]) for i in range(1, len(s2)+1): p = [0]*(len(s1)+1) for j in range(1, len(s1)+1): if(s2[i-1] == s1[j-1]): p[j] = 1 + arr[i-1][j-1] else: p[j] = max(arr[i-1][j], p[j-1]) arr.append(p) #print(arr[len(s2)][len(s1)]) if arr[len(s2)][len(s1)]: backtrk(arr, len(s2), len(s1), lcs, s1, s2) lcs.reverse() if len(virus) <= len(lcs): for i in range(len(lcs)): count = 0 if lcs[i] == virus[0]: for j in range(0, len(virus)): if(i+j) < len(lcs) and (lcs[i+j] == virus[j]): count += 1 else: break if(count == len(virus)): lcs[i] = '0' flag = True for i in range(len(lcs)): if lcs[i] != '0': print(lcs[i], end='') flag = False if flag: print("0") ``` No
15,403
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` def LCS(x, y): m = len(x)-1 n = len(y)-1 b = [0]*(m+1) c = [0]*(m+1) for i in range(m+1): c[i] = [0]*(n+1) b[i] = [0]*(n+1) for i in range(1, m+1): for j in range(1, n+1): if x[i] == y[j]: c[i][j] = c[i-1][j-1] + 1 b[i][j] = 1 elif c[i-1][j] >= c[i][j-1]: c[i][j] = c[i-1][j] b[i][j] = 2 else: c[i][j] = c[i][j-1] b[i][j] = 3 return c, b def print_LCS(b, x, i, j): global z if i == 0 or j == 0: return if b[i][j] == 1: print_LCS(b, x, i-1, j-1) z = z + x[i] elif b[i][j] == 2: print_LCS(b, x, i-1, j) else: print_LCS(b, x, i, j-1) s1 = input() s2 = input() v = input() c, b = LCS('1'+s1, '1'+s2) ans = '' for i in range(1, len(s1)+1): for j in range(1, len(s2)+1): z=''; print_LCS(b, '1'+s1, i, j) z = z.replace(v, '') if len(z) > len(ans): ans = z if len(ans) > 0: print(ans) else: print(0) ``` No
15,404
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` # Why do we fall ? So we can learn to pick ourselves up. def lcs(s1,s2): m = len(s1) n = len(s2) gar = [[0]*(n+1) for i in range(0,m+1)] for i in range(0,m+1): for j in range(0,n+1): if i == 0 or j == 0: gar[i][j] = 0 elif s1[i-1] == s2[j-1]: gar[i][j] = gar[i-1][j-1] + 1 else: gar[i][j] = max(gar[i-1][j],gar[i][j-1]) ss = "" i,j = m,n while i > 0 and j > 0: if s1[i-1] == s2[j-1]: ss += s1[i-1] i -= 1 j -= 1 elif gar[i-1][j] > gar[i][j-1]: i -= 1 else: j -= 1 return ss[::-1] s1 = input() s2 = input() virus = input() ss = lcs(s1,s2) ind = ss.find(virus) if ind != -1: ss = ss[:ind] + ss[ind+len(virus):] print([ss,0][len(ss) == 0]) """ AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ """ ``` No
15,405
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring. Input The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters. Output Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0. Examples Input AJKEQSLOBSROFGZ OVGURWZLWVLUXTH OZ Output ORZ Input AA A A Output 0 Submitted Solution: ``` a, b, s = input(), input(), input() i = 0 p = [-1] + [0] * len(s) for j in range(1, len(s)): while i + 1 and s[i] != s[j]: i = p[i] i += 1 p[j + 1] = i d = [[] for i in b] + [[]] u, v = d[:], d[:] for x in a: for i, y in enumerate(b): r = u[i] + v[i - 1] if x == y: for n, k in u[i - 1]: while k > -1 and x != s[k]: k = p[k] if k < len(s): r.append((n + x, k + 1)) r.append((x, s[0] == x)) if not r: continue r.sort(key=lambda q: len(q[0])) n, k = r.pop() while r: q = r.pop() if len(q[0]) < len(n): v[i].append((n, k)) n = q[0] k = min(k, q[1]) v[i].append((n, k)) u, v = v, d[:] print(max(u[-2], key=lambda q: len(q[0])) if u[-2] else 0) ``` No
15,406
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0
Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` def search_rolling_hash(S, T): base = 1234 mod = 10**9+7 n, m = len(S), len(T) rolling_hash = [0]*(n-m+1) rolling_hash[0] = ord(S[0]) b_m = pow(base, m, mod) T_hash = ord(T[0]) start_index = [] for i in range(1, m): rolling_hash[0]*=base rolling_hash[0]+=ord(S[i]) rolling_hash[0]%=mod T_hash = (T_hash*base+ord(T[i]))%mod if rolling_hash[0] == T_hash: start_index.append(0) for i in range(1, ls): rolling_hash[i] = (rolling_hash[i-1]*base-ord(S[i-1])*b_m+ord(S[i+m-1]))%mod if rolling_hash[i] == T_hash: start_index.append(i) return start_index import sys s = input() t = input() ls, lt = len(s), len(t) S = s*(lt//ls+2) index = search_rolling_hash(S, t) flag = [False]*ls for i in index: flag[i] = True stack = [] inf = float('inf') cnt = [inf]*ls for i in range(ls): if flag[i] == False: stack.append(i) cnt[i] = 0 while stack: x = stack.pop() y = (x-lt)%ls if cnt[y] == inf: cnt[y] = cnt[x]+1 stack.append(y) ans = max(cnt) if ans == inf: print(-1) else: print(ans) ```
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0
Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` S = input() W = input() M = len(S) S *= 3 * (len(W)//len(S)+1) N = len(W) def primeFactor(N): i, n, ret, d, sq = 2, N, {}, 2, 99 while i <= sq: k = 0 while n % i == 0: n, k, ret[i] = n//i, k+1, k+1 if k > 0 or i == 97: sq = int(n**(1/2)+0.5) if i < 4: i = i * 2 - 1 else: i, d = i+d, d^6 if n > 1: ret[n] = 1 return ret def divisors(N): pf = primeFactor(N) ret = [1] for p in pf: ret_prev = ret ret = [] for i in range(pf[p]+1): for r in ret_prev: ret.append(r * (p ** i)) return sorted(ret) D = divisors(N) p = 1 for d in D: if W[:-d] == W[d:]: W = W[:d] p = N//d N = d break W = W[:d] T = [-1] * (len(W)+1) ii = 2 jj = 0 T[0] = -1 T[1] = 0 while ii < len(W) + 1: if W[ii - 1] == W[jj]: T[ii] = jj + 1 ii += 1 jj += 1 elif jj > 0: jj = T[jj] else: T[ii] = 0 ii += 1 m = 0 def KMP(i0): global m, i ret = -1 while m + i < len(S): if W[i] == S[m + i]: i += 1 if i == len(W): t = m m = m + i - T[i] if i > 0: i = T[i] return t else: m = m + i - T[i] if i > 0: i = T[i] return len(S) i = 0 j = -10**9 c = 0 cmax = 0 f = 0 while m < len(S)-N: k = KMP(0) if k == len(S): break elif k == N + j: c += 1 else: c = 1 f += 1 cmax = max(cmax, c) j = k if f == 1: print(-1) else: print(cmax//p) ```
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Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` # -*- coding: utf-8 -*- import math import sys from collections import defaultdict buff_readline = sys.stdin.buffer.readline readline = sys.stdin.readline INF = 2**60 class RollingHash(): """ Original code is https://tjkendev.github.io/procon-library/python/string/rolling_hash.html """ class RH(): def __init__(self, s, base, mod): self.base = base self.mod = mod self.rev = pow(base, mod-2, mod) l = len(s) self.h = h = [0]*(l+1) tmp = 0 for i in range(l): num = ord(s[i]) tmp = (tmp*base + num) % mod h[i+1] = tmp self.pw = pw = [1]*(len(s)+1) v = 1 for i in range(l): pw[i+1] = v = v * base % mod def calc(self, l, r): return (self.h[r] - self.h[l] * self.pw[r-l]) % self.mod @staticmethod def gen(a, b, num): import random result = set() while 1: while 1: v = random.randint(a, b)//2*2+1 if v not in result: break for x in range(3, int(math.sqrt(v))+1, 2): if v % x == 0: break else: result.add(v) if len(result) == num: break return result def __init__(self, s, rand=False, num=5): if rand: bases = RollingHash.gen(2, 10**3, num) else: assert num <= 10 bases = [641, 103, 661, 293, 547, 311, 29, 457, 613, 599][:num] MOD = 10**9+7 self.rhs = [self.RH(s, b, MOD) for b in bases] def calc(self, l, r): return tuple(rh.calc(l, r) for rh in self.rhs) class UnionFind(): def __init__(self): self.__table = {} self.__size = defaultdict(lambda: 1) self.__rank = defaultdict(lambda: 1) def __root(self, x): if x not in self.__table: self.__table[x] = x elif x != self.__table[x]: self.__table[x] = self.__root(self.__table[x]) return self.__table[x] def same(self, x, y): return self.__root(x) == self.__root(y) def union(self, x, y): x = self.__root(x) y = self.__root(y) if x == y: return False if self.__rank[x] < self.__rank[y]: self.__table[x] = y self.__size[y] += self.__size[x] else: self.__table[y] = x self.__size[x] += self.__size[y] if self.__rank[x] == self.__rank[y]: self.__rank[x] += 1 return True def size(self, x): return self.__size[self.__root(x)] def num_of_group(self): g = 0 for k, v in self.__table.items(): if k == v: g += 1 return g def slv(S, T): lt = len(T) ls = len(S) SS = S * (-(-lt // ls) * 2 + 1) srh = RollingHash(SS, num=2) th = RollingHash(T, num=2).calc(0, len(T)) ok = [] for i in range(ls+lt): if srh.calc(i, i+lt) == th: ok.append(i) ok = set(ok) uf = UnionFind() for i in ok: if (i + lt) in ok: if not uf.union(i, (i+lt) % ls): return -1 ans = 0 for i in ok: ans = max(ans, uf.size(i)) return ans def main(): S = input() T = input() print(slv(S, T)) if __name__ == '__main__': main() ```
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Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` import sys sys.setrecursionlimit(10**7) #再帰関数の上限,10**5以上の場合python import math from copy import copy, deepcopy from copy import deepcopy as dcp from operator import itemgetter from bisect import bisect_left, bisect, bisect_right#2分探索 #bisect_left(l,x), bisect(l,x)#aはソート済みである必要あり。aの中からx未満の要素数を返す。rightだと以下 from collections import deque, defaultdict #deque(l), pop(), append(x), popleft(), appendleft(x) #q.rotate(n)で → にn回ローテート from collections import Counter#文字列を個数カウント辞書に、 #S=Counter(l),S.most_common(x),S.keys(),S.values(),S.items() from itertools import accumulate,combinations,permutations,product#累積和 #list(accumulate(l)) from heapq import heapify,heappop,heappush #heapify(q),heappush(q,a),heappop(q) #q=heapify(q)としないこと、返り値はNone from functools import reduce,lru_cache#pypyでもうごく #@lru_cache(maxsize = None)#maxsizeは保存するデータ数の最大値、2**nが最も高効率 from decimal import Decimal import random def input(): x=sys.stdin.readline() return x[:-1] if x[-1]=="\n" else x def printe(*x):print("## ",*x,file=sys.stderr) def printl(li): _=print(*li, sep="\n") if li else None def argsort(s, return_sorted=False): inds=sorted(range(len(s)), key=lambda k: s[k]) if return_sorted: return inds, [s[i] for i in inds] return inds def alp2num(c,cap=False): return ord(c)-97 if not cap else ord(c)-65 def num2alp(i,cap=False): return chr(i+97) if not cap else chr(i+65) def matmat(A,B): K,N,M=len(B),len(A),len(B[0]) return [[sum([(A[i][k]*B[k][j]) for k in range(K)]) for j in range(M)] for i in range(N)] def matvec(M,v): N,size=len(v),len(M) return [sum([M[i][j]*v[j] for j in range(N)]) for i in range(size)] def T(M): n,m=len(M),len(M[0]) return [[M[j][i] for j in range(n)] for i in range(m)] def binr(x): return bin(x)[2:] def bitcount(x): #xは64bit整数 x= x - ((x >> 1) & 0x5555555555555555) x= (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333) x= (x + (x >> 4)) & 0x0f0f0f0f0f0f0f0f x+= (x >> 8); x+= (x >> 16); x+= (x >> 32) return x & 0x7f def main(): mod = 1000000007 #w.sort(key=itemgetter(1),reverse=True) #二個目の要素で降順並び替え #N = int(input()) #N, K = map(int, input().split()) #A = tuple(map(int, input().split())) #1行ベクトル #L = tuple(int(input()) for i in range(N)) #改行ベクトル #S = tuple(tuple(map(int, input().split())) for i in range(N)) #改行行列 class rh:#base,max_n,convertを指定すること def __init__(self,base=26,max_n=5*10**5):#baseとmaxnを指定すること。baseは偶数(modが奇数) self.mod=random.randrange(1<<54-1,1<<55-1,2)#奇数、衝突させられないよう乱数で生成 self.base=int(base*0.5+0.5)*2#偶数,英小文字なら26とか self.max_n=max_n self.pows1=[1]*(max_n+1) cur1=1 for i in range(1,max_n+1): cur1=cur1*base%self.mod self.pows1[i]=cur1 def convert(self,c): return alp2num(c,False)#大文字の場合Trueにする def get(self, s):#特定の文字のhash. O(|s|) n=len(s) mod=self.mod si=[self.convert(ss) for ss in s] h1=0 for i in range(n):h1=(h1+si[i]*self.pows1[n-1-i])%mod return h1 def get_roll(self, s, k):#ローリングハッシュ,特定の文字の中から長さkのhashをすべて得る,O(|s|) n=len(s) si=[self.convert(ss) for ss in s] mod=self.mod h1=0 for i in range(k):h1=(h1+si[i%n]*self.pows1[k-1-i])%mod hs=[0]*n hs[0]=h1 mbase1=self.pows1[k] base=self.base for i in range(1,n): front=si[i-1];back=si[(i+k-1)%n] h1=(h1*base-front*mbase1+back)%mod hs[i]=h1 return hs s=input() t=input() n=len(s) nt=len(t) rhs=rh() has=rhs.get(t) hass=rhs.get_roll(s,nt) l=[hass[i]==has for i in range(n)] ds=[0]*n for i in range(n): ci=i q=deque() while l[ci] and ds[ci]==0: q.append(ci) ci=(ci+nt)%n if ci==i: print(-1) return tot=ds[ci] while q: tot+=1 ci=q.pop() ds[ci]=tot print(max(ds)) if __name__ == "__main__": main() ```
15,750
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0
Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` def main(): import sys input = sys.stdin.readline S = input().rstrip('\n') T = input().rstrip('\n') ns = len(S) nt = len(T) mod1 = 1000000007 mod2 = 1000000009 mod3 = 998244353 b1 = 1007 b2 = 2009 b3 = 2999 H1 = 0 H2 = 0 H3 = 0 for i, t in enumerate(T): t = ord(t) H1 = ((H1 * b1)%mod1 + t)%mod1 H2 = ((H2 * b2)%mod2 + t)%mod2 H3 = ((H3 * b3)%mod3 + t)%mod3 h1 = 0 h2 = 0 h3 = 0 for i in range(nt): s = ord(S[i%ns]) h1 = ((h1 * b1) % mod1 + s) % mod1 h2 = ((h2 * b2) % mod2 + s) % mod2 h3 = ((h3 * b3) % mod3 + s) % mod3 idx = [] if h1 == H1 and h2 == H2 and h3 == H3: idx.append(0) b1_nt = pow(b1, nt, mod1) b2_nt = pow(b2, nt, mod2) b3_nt = pow(b3, nt, mod3) for i in range(1, ns): s = ord(S[(i+nt-1)%ns]) s_prev = ord(S[i-1]) h1 = ((h1 * b1) % mod1 - (b1_nt * s_prev)%mod1 + s) % mod1 h2 = ((h2 * b2) % mod2 - (b2_nt * s_prev)%mod2 + s) % mod2 h3 = ((h3 * b3) % mod3 - (b3_nt * s_prev) % mod3 + s) % mod3 if h1 == H1 and h2 == H2 and h3 == H3: idx.append(i%ns) if len(idx) == 0: print(0) exit() ans = 1 dic = {} for i in range(len(idx)): if (idx[i] - nt)%ns in dic: tmp = dic[(idx[i]-nt)%ns] + 1 dic[idx[i]] = tmp ans = max(ans, tmp) else: dic[idx[i]] = 1 for i in range(len(idx)): if (idx[i] - nt)%ns in dic: tmp = dic[(idx[i]-nt)%ns] + 1 dic[idx[i]] = tmp ans = max(ans, tmp) else: dic[idx[i]] = 1 ans_ = ans for i in range(len(idx)): if (idx[i] - nt)%ns in dic: tmp = dic[(idx[i]-nt)%ns] + 1 dic[idx[i]] = tmp ans = max(ans, tmp) else: dic[idx[i]] = 1 if ans == ans_: print(ans) else: print(-1) if __name__ == '__main__': main() ```
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Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` def kmp(s): n = len(s) kmp = [0] * (n+1) kmp[0] = -1 j = -1 for i in range(n): while j >= 0 and s[i] != s[j]: j = kmp[j] j += 1 kmp[i+1] = j return kmp from collections import deque def topological_sort(graph: list, n_v: int) -> list: # graph[node] = [(cost, to)] indegree = [0] * n_v # 各頂点の入次数 for i in range(n_v): for v in graph[i]: indegree[v] += 1 cand = deque([i for i in range(n_v) if indegree[i] == 0]) res = [] while cand: v1 = cand.popleft() res.append(v1) for v2 in graph[v1]: indegree[v2] -= 1 if indegree[v2] == 0: cand.append(v2) return res import sys def main(): input = sys.stdin.readline s = input().rstrip() t = input().rstrip() n0 = len(s) m = len(t) s = s * (m // n0 + 2) res = kmp(t + '*' + s) res = res[m+2:] graph = [set() for _ in range(n0)] for i in range(len(res)): if res[i] >= m: graph[(i-m+1)%n0].add( (i + 1) % n0 ) # print(graph) ts = topological_sort(graph, n0) if len(ts) != n0: ans = -1 else: # print(ts) ans = 0 path = [0] * n0 for i in range(n0): ans = max(ans, path[ts[i]]) for j in graph[ts[i]]: path[j] = path[ts[i]] + 1 print(ans) main() ```
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0
Provide a correct Python 3 solution for this coding contest problem. Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite. * There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s. Constraints * 1 \leq |s| \leq 5 \times 10^5 * 1 \leq |t| \leq 5 \times 10^5 * s and t consist of lowercase English letters. Input Input is given from Standard Input in the following format: s t Output If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`. Examples Input abcabab ab Output 3 Input aa aaaaaaa Output -1 Input aba baaab Output 0 "Correct Solution: ``` def partial_match_table(word): table = [0] * (len(word) + 1) table[0] = -1 i, j = 0, 1 while j < len(word): matched = word[i] == word[j] if not matched and i > 0: i = table[i] else: if matched: i += 1 j += 1 table[j] = i return table def kmp_search(text, word): table = partial_match_table(word) i, p = 0, 0 results = [] while i < len(text) and p < len(word): if text[i] == word[p]: i += 1 p += 1 if p == len(word): p = table[p] results.append((i-len(word), i)) elif p == 0: i += 1 else: p = table[p] return results inf = 10**18 s = input().strip() t = input().strip() m=(len(t)+len(s)-1+len(s)-1)//len(s) d = [-1] * (len(s)+1) for a, b in kmp_search(m*s, t): a, b = a%len(s)+1, b%len(s)+1 d[a] = b ls = [-1]*(len(s)+1) vs = set() for i in range(1, len(s)+1): if i in vs: continue c = 0 j = i while True: vs.add(i) i = d[i] if i == -1: break c += 1 if i == j: c = inf break if ls[i] != -1: c += ls[i] break if c == inf: break ls[j] = c print(max(ls) if c != inf else -1) ```
15,754
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` n=int(input()) s=input() a=[int(o) for o in input().split()] dp=[[0 for i in range(5)] for j in range(n+1)] for i in range(n+1): dp[i][4]=float('inf') word=list("hard") di={"h":0,"a":1,"r":2,"d":3} for i in range(1,n+1): dp[i][0]=dp[i-1][0] dp[i][1]=dp[i-1][1] dp[i][2]=dp[i-1][2] dp[i][3]=dp[i-1][3] if s[i-1] in word: dp[i][di[s[i-1]]]=min(a[i-1]+dp[i][di[s[i-1]]],dp[i][di[s[i-1]]-1]) print(min(dp[n])) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` a = [0 for i in range(100010)] dp = [[0 for i in range(4)] for j in range(100010)] ans = 1e18 t = "hard" n = int(input()) s = input() s = ' ' + s for i in range(n+1): for j in range(4): dp[i][j] = 1e18 dp[0][0] = 0 a = [0] + list(map(int, input().split())) for x in a: dp[0][0] += x for i in range(1, n+1): p = t.find(s[i]) for j in range(4): if j==p: if j<3: dp[i][j+1] = min(dp[i][j+1], dp[i-1][j] - a[i]) dp[i][j] = min(dp[i][j], dp[i-1][j]) else: dp[i][j] = min(dp[i][j], dp[i-1][j] - a[i]) for i in range(4): ans = min(ans, dp[n][i]) print(ans) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` import sys def eprint(*args, **kwargs): print(*args, file=sys.stderr, **kwargs) n = int(input()) s = input() ambiguity = list(map(int, input().split())) s_a = [y for y in list(zip([x for x in s], ambiguity)) if y[0] in "hard"] if(len(s_a) < 4): print(0) quit() l = len(s_a)+1 h = [0]*l ha = [0]*l har = [0]*l hard = [0]*l last_a = -1 last_r = -1 last_d = -1 for i, (c,a) in enumerate(s_a): if c == 'h': h[i] = a + h[i-1] else: h[i] = h[i-1] if c == 'a': ha[i] = min(h[i],a+ha[last_a]) last_a = i else: ha[i] = ha[i-1] if c == 'r': har[i] = min(ha[i], a+har[last_r]) last_r = i else: har[i] = har[i-1] if c == 'd': hard[i] = min(har[i], a+hard[last_d]) last_d = i else: hard[i] = hard[i-1] eprint(h) eprint(ha) eprint(har) eprint(hard) print(hard[-2]) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` n=int(input()) s=input() a=list(map(int,input().split())) h=[0]*n ha=[0]*n har=[0]*n hard=[0]*n if s[0]=="h": h[0]=a[0] for i in range(1,n): if s[i]=="h": h[i]=h[i-1]+a[i] ha[i]=ha[i-1] har[i]=har[i-1] hard[i]=hard[i-1] elif s[i]=="a": h[i]=h[i-1] ha[i]=min(ha[i-1]+a[i],h[i]) har[i]=har[i-1] hard[i]=hard[i-1] elif s[i]=="r": h[i]=h[i-1] ha[i]=ha[i-1] har[i]=min(har[i-1]+a[i],ha[i],h[i]) hard[i]=hard[i-1] elif s[i]=="d": h[i]=h[i-1] ha[i]=ha[i-1] har[i]=har[i-1] hard[i]=min(hard[i-1]+a[i],h[i],ha[i],har[i]) else: h[i]=h[i-1] ha[i]=ha[i-1] har[i]=har[i-1] hard[i]=hard[i-1] print(hard[-1]) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` n = int(input()) s = input() arr = list(map(int, input().split())) dp = {} for i in range(n): dp[i] = {} for j in range(4): if i == 0 and j == 0: if s[i] == 'h': dp[i][j] = arr[i] else: dp[i][j] = 0 elif i == 0: dp[i][j] = 0 elif j == 0: dp[i][j] = dp[i - 1][j] if s[i] == 'h': dp[i][j] += arr[i] elif j == 1: if s[i] != 'a': dp[i][j] = dp[i - 1][j] else: dp[i][j] = min(arr[i] + dp[i - 1][j], dp[i - 1][j - 1]) elif j == 2: if s[i] != 'r': dp[i][j] = dp[i - 1][j] else: dp[i][j] = min(arr[i] + dp[i - 1][j], dp[i - 1][j - 1]) else: if s[i] != 'd': dp[i][j] = dp[i - 1][j] else: dp[i][j] = min(arr[i] + dp[i - 1][j], dp[i - 1][j - 1]) print(dp[n - 1][3]) ```
15,987
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` n = int(input()) s = input() A = list(map(int, input().split())) t = 'hard' dph = [0] * (n + 1) for i in range(n): dph[i + 1] = dph[i] + A[i] * (s[i] == 'h') dpha = [0] * (n + 1) for i in range(n): if s[i] != 'a': dpha[i + 1] = dpha[i] else: dpha[i + 1] = min(dpha[i] + A[i], dph[i]) dphar = [0] * (n + 1) for i in range(n): if s[i] != 'r': dphar[i + 1] = dphar[i] else: dphar[i + 1] = min(dphar[i] + A[i], dpha[i]) dphard = [0] * (n + 1) for i in range(n): if s[i] != 'd': dphard[i + 1] = dphard[i] else: dphard[i + 1] = min(dphard[i] + A[i], dphar[i]) print(dphard[-1]) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` import sys,math,itertools from collections import Counter,deque,defaultdict from bisect import bisect_left,bisect_right from heapq import heappop,heappush,heapify, nlargest from copy import deepcopy mod = 10**9+7 INF = float('inf') def inp(): return int(sys.stdin.readline()) def inpl(): return list(map(int, sys.stdin.readline().split())) def inpl_1(): return list(map(lambda x:int(x)-1, sys.stdin.readline().split())) def inps(): return sys.stdin.readline() def inpsl(x): tmp = sys.stdin.readline(); return list(tmp[:x]) def err(x): print(x); exit() n = inp() s = inpsl(n) a = inpl() dp = [[INF]*(n+1) for _ in range(5)] dp[0][0] = 0 d = 'hard' for i,x in enumerate(s): for j in range(4): tmp = a[i] if x == d[j] else 0 dp[j][i+1] = min(dp[j][i+1], dp[j][i]+tmp) dp[j+1][i+1] = min(dp[j+1][i+1], dp[j][i]) res = INF for j in range(4): res = min(res, dp[j][-1]) print(res) # if x == 'h': # dp[0][i+1] = min(dp[0][i+1], dp[0][i]+a[i]) # dp[1][i+1] = min(dp[1][i+1], dp[0][i]) # if x == 'a': # dp[1][i+1] = min(dp[1][i+1], dp[1][i+1]+a[i]) # dp[2][i+1] = min(dp[2][i+1], dp[1][i]) # if x == 'r': # dp[2][i+1] = min(dp[2][i+1], dp[2][i+1]+a[i]) # dp[2][i+1] = min(dp[2][i+1], dp[1][i]) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Tags: dp Correct Solution: ``` import math n = int(input()) s = input() c = list(map(int, input().split())) h = [0]*n ta = 0 tr = 0 td = 0 for i in range(n): if s[i]=='h': h[i] = c[i] if(i): h[i] = h[i] + h[i-1] if s[i]=='a': ta = min(ta+c[i], h[i]) elif s[i]=='r': tr = min(tr+c[i], ta) elif s[i]=='d': td = min(td+c[i], tr) print(td) ```
15,990
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` n = int(input()) s = input() t = 'hard' a = list(map(int, input().split())) dp = [x[:] for x in [[0]*4]*(n+1)] for i in range(1,n+1): for j in range(4): if s[i-1] == t[j]: if j ==0: dp[i][j] = dp[i-1][j]+a[i-1] else: dp[i][j] = min(dp[i-1][j]+a[i-1], dp[i-1][j-1]) else: dp[i][j] = dp[i-1][j] res = float('inf') for i in range(4): res = min(res, dp[n][i]) print(res) ``` Yes
15,991
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` import sys input = sys.stdin.readline n = int(input()) s = input() a = list(map(int, input().split())) dp = [0] * 4 for i in range(n): if s[i] == 'h': dp[0] += a[i] elif s[i] == 'a': dp[1] = min(dp[0], a[i] + dp[1]) elif s[i] == 'r': dp[2] = min(dp[1], a[i] + dp[2]) elif s[i] == 'd': dp[3] = min(dp[2], a[i] + dp[3]) print(min(dp)) ``` Yes
15,992
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` input() dp = [0] * 5 for i, c in zip(map('hard'.find, input()), map(int, input().split())) : if i < 0 : continue dp[i+1] = min(dp[i+1], dp[i]) dp[i] += c # print('hard'[i],dp) print(min(dp[:-1])) ``` Yes
15,993
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` import sys def solve(): ''' Time - O(n) Space - O(n) Ref - https://www.youtube.com/watch?v=xbNKWntnV20 ''' n = int(input()) s = input() cost_str = input().split() cost = [int(x) for x in cost_str] #dp[i][j] = min cost so that s[..i + 1] doesnt have t[..j + 1] as subseq dp = [[10**18 + 7] * (5) for _ in range(n + 1)] t = "hard" #dp[0][0] is invalid state since we dont have any char in t for i in range(1, 5): dp[0][i] = 0 for i in range(1, n + 1): for j in range(1, 5): #if ch dont match, then we an take same cost as prev i - 1 if s[i - 1] != t[j - 1]: dp[i][j] = dp[i - 1][j] else: #We either dont take the s[i - 1] ch, in that mincost[i - 1] needs to be added to prev i - 1 state, when taking s[i - 1] ch, then we need to remove prev target j - 1 ch seq dp[i][j] = min(dp[i - 1][j] + cost[i - 1], dp[i - 1][j - 1]) print(dp[n][4]) return 0 solve() ``` Yes
15,994
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0
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` n = int(input()) ambstr = input() ambi = [int(x) for x in input().split()] count = 0 h = 0 a = 0 r = 0 d = 0 hb = 0 ab = 0 rb = 0 db = 0 he = 0 ae = 0 re = 0 de = 0 for i in range(n): if(count == 0 and ambstr[i] == 'h'): count += 1 hb = i elif(count == 1 and ambstr[i] == 'a'): count += 1 ab = i elif(count == 2 and ambstr[i] == 'r'): count += 1 rb = i elif(count == 3 and ambstr[i] == 'd'): count += 1 db = i count = 0 for i in range(n-1, -1, -1): if(count == 0 and ambstr[i] == 'd'): count += 1 de = i elif(count == 1 and ambstr[i] == 'r'): count += 1 re = i elif(count == 2 and ambstr[i] == 'a'): count += 1 ae = i elif(count == 3 and ambstr[i] == 'h'): count += 1 he = i for i in range(hb,he+1): if(ambstr[i] == 'h'): h += ambi[i] for i in range(ab,ae+1): if(ambstr[i] == 'a'): a += ambi[i] for i in range(rb,re+1): if(ambstr[i] == 'r'): r += ambi[i] for i in range(db,de+1): if(ambstr[i] == 'd'): d += ambi[i] if(count < 4): print(0) elif(count == 4): print(min(h, a ,r, d)%998244353) ``` No
15,995
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` #########################################################################################################\ ######################################################################################################### ###################################The_Apurv_Rathore##################################################### ######################################################################################################### ######################################################################################################### import sys,os,io from sys import stdin from math import log, gcd, ceil from collections import defaultdict, deque, Counter from heapq import heappush, heappop import math if(os.path.exists('input.txt')): sys.stdin = open("input.txt","r") ; sys.stdout = open("output.txt","w") def ncr(n, r, p): 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 SieveOfEratosthenes(n): prime = [True for i in range(n+1)] p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * p, n+1, p): prime[i] = False p += 1 return prime def countdig(n): c = 0 while (n > 0): n //= 10 c += 1 return c 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 si(): return input() 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') #__________________________TEMPLATE__________________OVER_______________________________________________________ # input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline t = 1 # t = int(input()) for _ in range(t): n = ii() s = list(input()) l = li() hard = "hard" dp = [[10000000000000 for i in range(4)] for j in range(n+1)] for i in range(n+1): for j in range(4): if (i==0): dp[i][j]=0 continue if (j==0): if (s[i-1]==hard[j]): dp[i][j] = l[i-1] + dp[i-1][j] continue if (s[i-1]!=hard[j]): dp[i][j] = dp[i-1][j] else: dp[i][j] = min(dp[i-1][j-1] , dp[i-1][j] + l[i-1]) # print(dp) print(min(dp[-1])) ``` No
15,996
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` def f(a): vis=set() d={"h":0,"a":0,"r":0,"d":0} ans=0 ans=0 st=set() for cost,word in a: # print(word) if word in d: d[word]+=cost st.add(word) if st==set(list("hard")): mn=min(d.values()) for i in d: if d[i]==mn: d[i]=0 break ans=max(ans,mn) # d = {"h": 0, "a": 0, "r": 0, "d": 0} return ans n=int(input()) s=list(input()) cost=[*map(int,input().strip().split())] a=[*zip(cost,s)] print(f(a)) ``` No
15,997
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; otherwise the statement is easy. For example, hard, hzazrzd, haaaaard can be considered hard statements, while har, hart and drah are easy statements. Vasya doesn't want the statement to be hard. He may remove some characters from the statement in order to make it easy. But, of course, some parts of the statement can be crucial to understanding. Initially the ambiguity of the statement is 0, and removing i-th character increases the ambiguity by a_i (the index of each character is considered as it was in the original statement, so, for example, if you delete character r from hard, and then character d, the index of d is still 4 even though you delete it from the string had). Vasya wants to calculate the minimum ambiguity of the statement, if he removes some characters (possibly zero) so that the statement is easy. Help him to do it! Recall that subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. Input The first line contains one integer n (1 ≤ n ≤ 10^5) — the length of the statement. The second line contains one string s of length n, consisting of lowercase Latin letters — the statement written by Vasya. The third line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 998244353). Output Print minimum possible ambiguity of the statement after Vasya deletes some (possibly zero) characters so the resulting statement is easy. Examples Input 6 hhardh 3 2 9 11 7 1 Output 5 Input 8 hhzarwde 3 2 6 9 4 8 7 1 Output 4 Input 6 hhaarr 1 2 3 4 5 6 Output 0 Note In the first example, first two characters are removed so the result is ardh. In the second example, 5-th character is removed so the result is hhzawde. In the third example there's no need to remove anything. Submitted Solution: ``` if __name__ == '__main__': n = int(input()) s = list(input()) v = list(map(int, input().rstrip().split())) i = 0 hard = list('hard$') val = [0,0,0,0] c = 0 while c < 4 and i < n: if s[i] == hard[c + 1]: c += 1 if s[i] == hard[c]: val[c] += v[i] i += 1 print (min(val)) ``` No
15,998
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Provide tags and a correct Python 3 solution for this coding contest problem. This is an interactive problem. Remember to flush your output while communicating with the testing program. You may use fflush(stdout) in C++, system.out.flush() in Java, stdout.flush() in Python or flush(output) in Pascal to flush the output. If you use some other programming language, consult its documentation. You may also refer to the guide on interactive problems: <https://codeforces.com/blog/entry/45307>. You are given a string t consisting of n lowercase Latin letters. This string was cyphered as follows: initially, the jury had a string s consisting of n lowercase Latin letters. Then they applied a sequence of no more than n (possibly zero) operations. i-th operation is denoted by two integers a_i and b_i (1 ≤ a_i, b_i ≤ n), and means swapping two elements of the string with indices a_i and b_i. All operations were done in the order they were placed in the sequence. For example, if s is xyz and 2 following operations are performed: a_1 = 1, b_1 = 2; a_2 = 2, b_2 = 3, then after the first operation the current string is yxz, and after the second operation the current string is yzx, so t is yzx. You are asked to restore the original string s. Unfortunately, you have no information about the operations used in the algorithm (you don't even know if there were any operations in the sequence). But you may run the same sequence of operations on any string you want, provided that it contains only lowercase Latin letters and its length is n, and get the resulting string after those operations. Can you guess the original string s asking the testing system to run the sequence of swaps no more than 3 times? The string s and the sequence of swaps are fixed in each test; the interactor doesn't try to adapt the test to your solution. Input Initially the testing system sends one string t, consisting of lowercase Latin letters (1 ≤ |t| = n ≤ 10^4). Output To give the answer, your program should print one line ! s with a line break in the end. After that, it should flush the output and terminate gracefully. Interaction Before giving the answer, you may submit no more than 3 queries. To ask a query, print one line in the following format: ? s', where s' should be a string consisting of exaclty n lowercase Latin letters. The line should be ended with a line break character. After submitting a query, flush the output and read the answer to your query — a string t' consisting of n lowercase Latin letters, which is the result of applying the sequence of swaps to string s'. This string will be given on a separate line ended by a line break character. If you submit an incorrect query (or ask more than 3 queries), the answer to it will be one string 0. After receiving such an answer, your program should terminate immediately — otherwise you may receive verdict "Runtime error", "Time limit exceeded" or some other verdict instead of "Wrong answer". Example Input yzx aab baa aba Output ? baa ? aba ? aab ! xyz Note In the sample, the testcase described in the statement is used. The participant asks the first query with string baa, which is transformed to aab. The second query contains string aba, which is transformed to baa. The third query contains string aab, which is transformed to aba. The participant can deduce that the initial string s was xyz. Note for hacking phase: To submit a test in hacking phase, you should provide it in the following format: The first line should contain the string s you guess, consisting of n ∈ [1, 10000] lowercase Latin letters. The second line should contain k (0 ≤ k ≤ n) — the number of swap operations in the sequence. Then k lines should follow, i-th of them should denote i-th operation with two integers a_i and b_i (1 ≤ a_i, b_i ≤ n). For example, the sample test would look like that: xyz 2 1 2 2 3 Tags: bitmasks, chinese remainder theorem, constructive algorithms, interactive, math Correct Solution: ``` from itertools import chain, cycle, islice, repeat from operator import itemgetter d = 26 a = ord('a') t = input() n = len(t) p = [0]*n for b in (d ** 2, d, 1): if n >= b: q = (repeat(chr(a + i), b) for i in range(d)) q = chain.from_iterable(q) q = cycle(q) q = islice(q, n) q = ''.join(q) print('?', q, flush=True) s = input() for i, c in enumerate(s): p[i] += b * (ord(c) - a) p = zip(range(n), p) p = sorted(p, key=itemgetter(1)) p = next(zip(*p)) ans = list(t) ans = ''.join(ans[p[i]] for i in range(n)) print('!', ans, flush=True) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` for i in range(int(input())): s = sorted(input()) if len(set(s)) == len(s) and ord(s[-1])-ord(s[0]) == len(s)-1: print("YES") else: print("NO") ``` Yes
16,012
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` for i in range(int(input())): s=sorted(input()) f=0 for i in range(len(s)-1): if(ord(s[i+1])-ord(s[i])==1): f=f+1 if(f==len(s)-1): print('YES') else: print('NO') ``` Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` n = int(input()) for i in range(n): string = input() leng = len(string) if leng == 1: print("Yes") continue arr = [0] * leng for j in range(leng): arr[j] = ord(string[j]) arr.sort() result = "" for j in range(1,leng): if arr[j] != arr[j-1] + 1: result = "No" break else: result = "Yes" print(result) ``` Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` t=int(input()) l=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z'] for j in range (t): s=input() s=sorted(list(s)) flag=0 if len(s)==1: print("YES") flag=1 elif len(s)==len(set(s)): k=1 prev=s[0] while(flag==0 and k<len(s)): i=s[k] if abs(l.index(prev)-l.index(i))!=1: flag=1 k+=1 prev=i if flag==0: print("YES") else: print("NO") else: print("NO") ``` Yes
16,015
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` def loop_line(line): line_set = set() for i in line: if ord(i) + 1 in line_set: print("no") break elif ord(i) - 1 in line_set: print("no") break else: line_set.add(ord(i)) else: print("yes") def loop_n(n, lst): for i in range(n): loop_line(lst[i]) n = int(input()) lst = [] for i in range(n): str_ = map(str, input()) lst.append(str_) loop_n(n, lst) ``` No
16,016
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` # https://codeforces.com/gym/298388/problem/A def checkDiverse(arr): arr = list(arr) arr_codes = [ ord(x) for x in list(arr)] big = max(arr_codes) small = min(arr_codes) # print('Big ',big) # print('Small ',small) # print('Len ',len(arr)) if(big-small+1 == len(arr)): return True return False # print('hello world') tc = int(input()) # # print(tc) while tc > 0: string = input() isYes = checkDiverse(string) if isYes: print('Yes') else: print('No') tc -=1 # print('TC ', tc) # print(checkDiverse(list('az'))) ``` No
16,017
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` t=int(input()) for i in range(t): a=input() c=0 if len(list(set(a)))==len(a): b=list(set(a)) for j in range(len(a)-1): if ord(a[j])+1==ord(a[j+1]): c=c+1 if c==len(a)-1: print('Yes') else: print('Yes') else: print('No') ``` No
16,018
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "az", "aa", "bad" and "babc". Note that the letters 'a' and 'z' are not adjacent. Formally, consider positions of all letters in the string in the alphabet. These positions should form contiguous segment, i.e. they should come one by one without any gaps. And all letters in the string should be distinct (duplicates are not allowed). You are given a sequence of strings. For each string, if it is diverse, print "Yes". Otherwise, print "No". Input The first line contains integer n (1 ≤ n ≤ 100), denoting the number of strings to process. The following n lines contains strings, one string per line. Each string contains only lowercase Latin letters, its length is between 1 and 100, inclusive. Output Print n lines, one line per a string in the input. The line should contain "Yes" if the corresponding string is diverse and "No" if the corresponding string is not diverse. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Example Input 8 fced xyz r dabcef az aa bad babc Output Yes Yes Yes Yes No No No No Submitted Solution: ``` n = int(input()) for _ in range(n): s=input() if len(set(s))==len(s): print("YES") else: print("NO") ``` No
16,019
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` n, m = map(int, input().split()) s = input() sl = len(s) if m: y = map(int, input().split()) else: y = [] def prefix_func(s): pi = [0] * len(s) for i in range(1, len(s)): j = pi[i - 1] while j > 0 and s[i] != s[j]: j = pi[j - 1] pi[i] = j + 1 if s[i] == s[j] else j return pi pi = prefix_func(s) good = [False] * sl j = sl - 1 while j >= 0: good[j] = True j = pi[j] - 1 end = 0 s = 0 # print good for x in y: if x > end: s += x - end - 1 else: if not good[end - x]: print('0') exit() end = x + sl - 1 s += max(0, n - end) print (pow(26, s, 1000000007)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` # -*- coding: utf-8 -*- def solve(): n, m = map(int, input().split()) p = input() if m == 0: return powmod(n) delta = len(p) - 1 ys = map(int, input().split()) tail = 0 free_chars = 0 for y in ys: if y > tail: free_chars += y - tail - 1 elif not is_consistent(p, tail - y + 1): return 0 tail = y + delta free_chars += n - tail return powmod(free_chars) ok_set = set() def is_consistent(p, margin): global ok_set if margin in ok_set: return True elif p[:margin] == p[-margin:]: ok_set.add(margin) return True else: return False def powmod(p): mod = 10**9 + 7 pbin = bin(p)[2:][-1::-1] result = 26 if pbin[0] == '1' else 1 tmp = 26 for bit in pbin[1:]: tmp *= tmp tmp %= mod if bit == '1': result *= tmp result %= mod return result print(solve()) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` import sys def prefix(s): m = len(s) v = [0]*len(s) for i in range(1,len(s)): k = v[i-1] while k > 0 and s[k] != s[i]: k = v[k-1] if s[k] == s[i]: k = k + 1 v[i] = k w = set() i = m-1 while v[i] != 0: w.add(m-v[i]) i = v[i]-1 return w n,m = map(int, input().split()) if m == 0: print(pow(26, n, 1000000007)) sys.exit(0) p = input() l = len(p) x = list(map(int,input().split())) w = prefix(p) busy = l for i in range(1,m): if x[i]-x[i-1] < l and (x[i] - x[i-1]) not in w: print(0) sys.exit(0) busy += min(x[i]-x[i-1], l) print(pow(26,n-busy, 1000000007)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` def preZ(s): #preprocessing by Z algo n = len(s) z = [0]*n z[0] = n r = 0 if n==1: return z while r+1<n and s[r]==s[r+1]: r+=1 z[1] = r #note z=length! not 0-indexed l = 1 if r>0 else 0 for k in range(2,n): bl = r+1-k #|\beta| gl = z[k-l] #|\gamma| if gl<bl: z[k]=z[k-l] #Case2a else: j=max(0,r-k+1) #Case1 & 2b while k+j<n and s[j]==s[k+j]: j+=1 z[k]=j l,r =k,k+j-1 return z pp = int(1e9)+7 def binpow(b,e): r = 1 while True: if e &1: r=(r*b)%pp e = e>>1 if e==0: break b = (b*b)%pp return r def f(p,l,n): #pattern, match list, size of text m = len(p) if len(l)==0: return binpow(26,n) z = preZ(p) s = set([i for i in range(m) if z[i]+i==m]) fc = l[0]-1 for i in range(1,len(l)): r = l[i-1]+m if l[i]>r: fc += l[i]-r continue if l[i]<r and l[i]-l[i-1] not in s: return 0 fc += n-(l[-1]+m-1) return binpow(26,fc) n,m = list(map(int,input().split())) p = input() l = list(map(int,input().split())) if m>0 else [] print(f(p,l,n)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` # -*- coding: utf-8 -*- def solve(): n, m = map(int, input().split()) p = input() if m == 0: return powmod(n) delta = len(p) - 1 ys = map(int, input().split()) tail = 0 free_chars = 0 for y in ys: if y > tail: free_chars += y - tail - 1 elif not is_consistent(p, tail - y + 1): return 0 tail = y + delta free_chars += n - tail return powmod(free_chars) ok_set = set() def is_consistent(p, margin): global ok_set if margin in ok_set: return True elif p[:margin] == p[-margin:]: ok_set.add(margin) return True else: return False def powmod(p): mod = 10**9 + 7 pbin = bin(p)[2:][-1::-1] result = 26 if pbin[0] == '1' else 1 tmp = 26 for bit in pbin[1:]: tmp *= tmp tmp %= mod if bit == '1': result *= tmp result %= mod return result print(solve()) # Made By Mostafa_Khaled ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` 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") ########################################################## from collections import Counter,defaultdict import math #for _ in range(int(input())): #n=int(input()) def matching(s): le = len(s) pi=[0]*le for i in range(1,le): j=pi[i-1] while j>0 and s[i]!=s[j]: j=pi[j-1] if(s[i]==s[j]): j+=1 pi[i]=j #return pi ## to return list of values w=set() i=le-1 while pi[i]!=0: w.add(le-pi[i]) i=pi[i]-1 return w n,m=map(int,input().split()) p=input() if m==0: print(pow(26,n,10**9+7)) sys.exit() arr=list(map(int, input().split())) #a1=list(map(int, input().split())) ans=0 l=len(p) pre=matching(p) filled=l for i in range(1,m): if (arr[i]-arr[i-1]<l and (arr[i]-arr[i-1]) not in pre): print(0) sys.exit() filled+=min(l,arr[i]-arr[i-1]) print(pow(26,n-filled,10**9+7)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Tags: greedy, hashing, string suffix structures, strings Correct Solution: ``` # -*- coding: utf-8 -*- def solve(): mod = 10**9 + 7 n, m = map(int, input().split()) p = input() if m == 0: return powmod(n) delta = len(p) - 1 ys = map(int, input().split()) answer = 1 tail = 0 for y in ys: if y > tail: answer *= powmod(y - tail - 1) answer %= mod elif not is_consistent(p, tail - y + 1): return 0 tail = y + delta answer *= powmod(n - tail) return answer % mod ok_set = set() def is_consistent(p, margin): global ok_set if margin in ok_set: return True elif p[:margin] == p[-margin:]: ok_set.add(margin) return True else: return False def powmod(p): mod = 10**9 + 7 pbin = bin(p)[2:][-1::-1] result = 26 if pbin[0] == '1' else 1 tmp = 26 for bit in pbin[1:]: tmp *= tmp tmp %= mod if bit == '1': result *= tmp result %= mod return result print(solve()) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Submitted Solution: ``` import sys n, m = map(int, str(input()).split(" ")) p = str(input()) l = map(int, str(input()).split(" ")) s = " "*n st = list(s) for i in l: j = i-1 if(len(s) < j+len(p)): print(0) sys.exit(0) for c in p: if st[j] == " ": st[j] = c elif st[j] == c: pass else: print(0) sys.exit(0) j+=1 product = 1 for i in st: if i == " ": product*=26 print(product) ``` No
16,385
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0
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Submitted Solution: ``` 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") ########################################################## from collections import Counter,defaultdict import math #for _ in range(int(input())): #n=int(input()) def matching(s): le = len(s) pi=[0]*le for i in range(1,le): j=pi[i-1] while j>0 and s[i]!=s[j]: j=pi[j-1] if(s[i]==s[j]): j+=1 pi[i]=j #return pi ## to return list of values w=set() i=le-1 while pi[i]!=0: w.add(le-pi[i]) i=pi[i]-1 return w n,m=map(int,input().split()) p=input() arr=list(map(int, input().split())) #a1=list(map(int, input().split())) ans=0 l=len(p) pre=matching(p) filled=l for i in range(1,m): if (arr[i]-arr[i-1]<l and (arr[i]-arr[i-1]) not in pre): print(0) sys.exit() filled+=min(l,arr[i]-arr[i-1]) print(pow(26,n-filled,10**9+7)) ``` No
16,386
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0
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Submitted Solution: ``` class CodeforcesTask536BSolution: def __init__(self): self.result = '' self.n_m = [] self.p = '' self.y = [] def read_input(self): self.n_m = [int(x) for x in input().split(" ")] self.p = input() self.y = [int(x) for x in input().split(" ")] def process_task(self): if self.p == self.p[0] * len(self.p): go = [1] * self.n_m[0] for y in self.y: go = go[:y] + [0] * len(self.p) + go[y + len(self.p):] result = 1 non_zero = sum(go) d = 1000000007 for i in range(non_zero): result = result * 26 % d self.result = str(result) else: projection = {} for x in range(self.n_m[0]): projection[x] = "?" canbe = True for y in self.y: for x in range(len(self.p)): if y + x <= self.n_m[0]: c = projection[y + x - 1] if c == "?": projection[y + x - 1] = self.p[x] elif c != self.p[x]: canbe = False break else: canbe = False break if not canbe: break if not canbe: self.result = "0" else: non_zero = 0 for x in range(self.n_m[0]): if projection[x] == "?": non_zero += 1 result = 1 d = 1000000007 for i in range(non_zero): result = result * 26 % d self.result = str(result) def get_result(self): return self.result if __name__ == "__main__": Solution = CodeforcesTask536BSolution() Solution.read_input() Solution.process_task() print(Solution.get_result()) ``` No
16,387
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead. <image> Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process on s. Malekas has a favorite string p. He determined all positions x1 < x2 < ... < xk where p matches s. More formally, for each xi (1 ≤ i ≤ k) he condition sxisxi + 1... sxi + |p| - 1 = p is fullfilled. Then Malekas wrote down one of subsequences of x1, x2, ... xk (possibly, he didn't write anything) on a piece of paper. Here a sequence b is a subsequence of sequence a if and only if we can turn a into b by removing some of its elements (maybe no one of them or all). After Tavas woke up, Malekas told him everything. He couldn't remember string s, but he knew that both p and s only contains lowercase English letters and also he had the subsequence he had written on that piece of paper. Tavas wonders, what is the number of possible values of s? He asked SaDDas, but he wasn't smart enough to solve this. So, Tavas asked you to calculate this number for him. Answer can be very large, so Tavas wants you to print the answer modulo 109 + 7. Input The first line contains two integers n and m, the length of s and the length of the subsequence Malekas wrote down (1 ≤ n ≤ 106 and 0 ≤ m ≤ n - |p| + 1). The second line contains string p (1 ≤ |p| ≤ n). The next line contains m space separated integers y1, y2, ..., ym, Malekas' subsequence (1 ≤ y1 < y2 < ... < ym ≤ n - |p| + 1). Output In a single line print the answer modulo 1000 000 007. Examples Input 6 2 ioi 1 3 Output 26 Input 5 2 ioi 1 2 Output 0 Note In the first sample test all strings of form "ioioi?" where the question mark replaces arbitrary English letter satisfy. Here |x| denotes the length of string x. Please note that it's possible that there is no such string (answer is 0). Submitted Solution: ``` import sys def prefix(s): m = len(s) v = [0]*len(s) for i in range(1,len(s)): k = v[i-1] while k > 0 and s[k] != s[i]: k = v[k-1] if s[k] == s[i]: k = k + 1 v[i] = k w = set() i = m-1 while v[i] != 0: w.add(m-v[i]) i = v[i]-1 return w n,m = map(int, input().split()) p = input() l = len(p) x = list(map(int,input().split())) w = prefix(p) busy = l for i in range(1,m): if x[i]-x[i-1] <= l and (x[i] - x[i-1]) not in w: print(0) sys.exit(0) busy += min(x[i]-x[i-1], l) print(pow(26,n-busy, 1000000007)) ``` No
16,388
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0
Provide a correct Python 3 solution for this coding contest problem. We have a string s consisting of lowercase English letters. Snuke can perform the following operation repeatedly: * Insert a letter `x` to any position in s of his choice, including the beginning and end of s. Snuke's objective is to turn s into a palindrome. Determine whether the objective is achievable. If it is achievable, find the minimum number of operations required. Constraints * 1 \leq |s| \leq 10^5 * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output If the objective is achievable, print the number of operations required. If it is not, print `-1` instead. Examples Input xabxa Output 2 Input ab Output -1 Input a Output 0 Input oxxx Output 3 "Correct Solution: ``` s = input() t= "".join(c for c in s if c!="x") if t!=t[::-1]: print(-1) else: ans=0 i=0 j=0 l=len(s) while i+j<l-1: if s[i] != s[l-1-j]: ans+=1 if s[i] == "x" : i+=1 else : j+=1 else: i+=1 j+=1 print(ans) ```
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0
Provide a correct Python 3 solution for this coding contest problem. We have a string s consisting of lowercase English letters. Snuke can perform the following operation repeatedly: * Insert a letter `x` to any position in s of his choice, including the beginning and end of s. Snuke's objective is to turn s into a palindrome. Determine whether the objective is achievable. If it is achievable, find the minimum number of operations required. Constraints * 1 \leq |s| \leq 10^5 * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output If the objective is achievable, print the number of operations required. If it is not, print `-1` instead. Examples Input xabxa Output 2 Input ab Output -1 Input a Output 0 Input oxxx Output 3 "Correct Solution: ``` s=input() S="a"+s[::]+"a" s=s.replace("x","") if s[:len(s)//2]!=s[:-(len(s)//2)-1:-1]: print(-1) quit() r=0 l=len(S)-1 ans=0 while r<l: R,L=0,0 while S[r+R]=="x": R+=1 while S[l-L]=="x": L+=1 ans+=abs(R-L) r+=R+1 l-=L+1 print(ans) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` def solve(e): g=[0 for i in range(2*n-2)] check=[0 for i in range(2*n-2)] for i in range(n): f=e[0:i+1] for j in range(2*n-2): if(a[j]==f and check[j]==0): g[j]=1 check[j]=1 break for i in range(2*n-2): if(g[i]==1): print("P",end="") else: print("S",end="") n=int(input()) a=[] for i in range(2*n-2): b=input() a.append(b) if(n==2):print("PS") else: c=[] d=[] for i in range(2*n-2): if(len(a[i])==1): c.append(a[i]) elif(len(a[i])==n-1): d.append(a[i]) e1=c[0]+d[0] b1=[] for i in range(len(e1)-1): f=e1[0:i+1] g=e1[i+1:n] b1.append(f) b1.append(g) e2=c[0]+d[1] b2=[] for i in range(len(e2)-1): f=e2[0:i+1] g=e2[i+1:n] b2.append(f) b2.append(g) e3=c[1]+d[1] b3=[] for i in range(len(e3)-1): f=e3[0:i+1] g=e3[i+1:n] b3.append(f) b3.append(g) e4=c[1]+d[0] b4=[] for i in range(len(e4)-1): f=e4[0:i+1] g=e4[i+1:n] b4.append(f) b4.append(g) e5=d[0]+c[0] b5=[] for i in range(len(e5)-1): f=e5[0:i+1] g=e5[i+1:n] b5.append(f) b5.append(g) e6=d[0]+c[1] b6=[] for i in range(len(e6)-1): f=e6[0:i+1] g=e6[i+1:n] b6.append(f) b6.append(g) e7=d[1]+c[1] b7=[] for i in range(len(e7)-1): f=e7[0:i+1] g=e7[i+1:n] b7.append(f) b7.append(g) e8=d[1]+c[0] b8=[] for i in range(len(e8)-1): f=e8[0:i+1] g=e8[i+1:n] b8.append(f) b8.append(g) c1=[] for i in range(2*n-2): c1.append(a[i]) c1.sort() b1.sort() b2.sort() b3.sort() b4.sort() b5.sort() b6.sort() b7.sort() b8.sort() if(c1==b1): #print(b1) solve(e1) elif(c1==b2): #print(b2) solve(e2) elif(c1==b3): #print(b3) solve(e3) elif(c1==b4): #print(b4) solve(e4) elif(c1==b5): #print(b5) solve(e5) elif(c1==b6): #print(b6) solve(e6) elif(c1==b7): #print(b7) solve(e7) else: #print("#",b8) solve(e8) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` n = int(input()) a = [] for i in range(2*n-2): a.append(input()) S = '' P = '' Lnm1 = [] Lnm2 = [] ans = [] for i in a: if len(i) == n-1: Lnm1.append(i) elif len(i) == n-2: Lnm2.append(i) flag = 0 if n == 2: print("PS") elif n == 1: print("P") else: S = Lnm2[0] P = Lnm2[1] if (Lnm2[0] == Lnm1[0][:n-2] and Lnm2[1] == Lnm1[1][1:]): S = Lnm1[0] P = Lnm1[1] elif (Lnm2[1] == Lnm1[0][:n-2] and Lnm2[0] == Lnm1[1][1:]): S = Lnm1[0] P = Lnm1[1] else: S = Lnm1[1] P = Lnm1[0] flag = [0 for i in range(n)] for i in a: if flag[len(i)] == 0: if len(i) <= len(P): if i == S[:len(i)]: ans.append("P") flag[len(i)] = 'S' else: ans.append('S') flag[len(i)] = 'P' else: ans.append(flag[len(i)]) print(*ans, sep = "") ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` n=int(input()) k=2*n-2 a=[] b=[] c=[] for i in range(k): s=input() a.append(s) c.append(s) a.sort() for i in range(k): if(len(a[i])==n-1): b.append(a[i]) s1=b[0][1:n-1] s2=b[1][0:n-2] if(s1==s2): x=b[0][0] p=b[0] su=b[1] else: x=b[1][0] p=b[1] su=b[0] cnt=[1]*n p1=0; res=[] rest=[] for i in range(k): l=len(c[i]) if(cnt[l]==1 and c[i]==p[0:l]): cnt[l]=0 res.append("P") p1+=1 else: cnt[l]=1 res.append("S") if(p1==n-1): print("".join(res)) else: cnt=[1]*n for i in range(k): l=len(c[i]) if(cnt[l]==1 and c[i]==su[0:l]): cnt[l]=0 rest.append("P") p1+=1 else: cnt[l]=1 rest.append("S") print("".join(rest)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` for _ in range(1): n = int(input()) limit = (2*n)-2 ind = {} e = {} d = {} for i in range(1,limit+1): s = input() if len(s) in d: d[len(s)].append(s) else: d[len(s)] = [s] if s in ind: ind[s].append(i) else: ind[s] = [i] if s in e: e[s] += 1 else: e[s] = 1 candidates = [d[n-1][0]+d[1][0],d[n-1][0]+d[1][1],d[n-1][1]+d[1][0],d[n-1][1]+d[1][1],d[1][0]+d[n-1][0],d[1][1]+d[n-1][0],d[1][0]+d[n-1][1],d[1][1]+d[n-1][1]] for i in candidates: te = {} tind = {} # print(i) for j in e: te[j] = e[j] for j in ind: tind[j] = ind[j].copy() flag = 1 ans = ["Z"]*(limit+1) for j in range(n-1): w = i[0:j+1] if w not in tind: flag = 0 break if len(tind[w]) == 0: flag = 0 break ans[tind[w].pop()] = "P" if w in te: te[w] -= 1 if te[w] == 0: del te[w] else: flag = 0 break i = i[::-1] for j in range(n-1): w = i[0:j+1][::-1] if w not in tind: flag = 0 break if len(tind[w]) == 0: flag = 0 break ans[tind[w].pop()] = "S" if w in te: te[w] -= 1 if te[w] == 0: del te[w] else: flag = 0 break if flag: print("".join(ans[1:])) exit() ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` n = int(input()) a = [input() for i in range(2*n - 2)] sorted_a = sorted(a, key=len, reverse=True) guess = sorted_a[0] + sorted_a[1][-1] guess2 = sorted_a[1] + sorted_a[0][-1] check = [0]* len(a) for i in range(0,len(a),2): if(not((guess.startswith(sorted_a[i]) and guess.endswith(sorted_a[i+1])) or (guess.startswith(sorted_a[1+i]) and guess.endswith(sorted_a[i])))): guess = guess2 break for word in a: if guess.startswith(word): if check[len(word)] == 0: print('P', end='') check[len(word)] = 1 else: print('S', end='') else: print('S', end='') ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` from collections import namedtuple SPos = namedtuple("SPos", "string, pos") n = int(input()) levels = [[] for _ in range(n)] for i in range(2 * n - 2): s = input() levels[len(s)].append(SPos(string=s, pos=i)) checkpoint = 1 for i in range(2, n): # Try to see if anything fits if levels[i][0].string[:-1] == levels[i - 1][0].string and \ levels[i][1].string[1:] == levels[i - 1][1].string: pass elif levels[i][1].string[:-1] == levels[i - 1][0].string and \ levels[i][0].string[1:] == levels[i - 1][1].string: # Swap the order in the case of the current level levels[i][0], levels[i][1] = levels[i][1], levels[i][0] else: # Change the order of everything beneath for j in range(i - 1, checkpoint - 1, -1): if not(levels[j + 1][0].string[:-1] == levels[j][0].string and \ levels[j + 1][1].string[1:] == levels[j][1].string): levels[j][0], levels[j][1] = levels[j][1], levels[j][0] # Recheck the current level if not(levels[i][0].string[:-1] == levels[i - 1][0].string and \ levels[i][1].string[1:] == levels[i - 1][1].string): levels[i][0], levels[i][1] = levels[i][1], levels[i][0] checkpoint = i result = ['' for _ in range(2 * n - 2)] for level in levels[1:]: result[level[0].pos] = 'P' result[level[1].pos] = 'S' print(''.join(result)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes. Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin! Input The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s. The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order. It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n. Output Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise. If there are several possible answers, you can print any. Examples Input 5 ba a abab a aba baba ab aba Output SPPSPSPS Input 3 a aa aa a Output PPSS Input 2 a c Output PS Note The only string which Ivan can guess in the first example is "ababa". The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable. In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable. Tags: strings Correct Solution: ``` n = int(input()) a = [] fe = -1 se = -1 for i in range(2*n - 2): s = input() if len(s) == n - 1: if fe == -1: fe = i else: se = i a.append(s) fl = True s = a[fe] + a[se][-1] b = [''] * len(a) pr = [False] * n su = [False] * n for i in range(len(a)): #pr flp = False ss = a[i] if not pr[len(ss) - 1]: if s[:len(ss)] == ss: b[i] = 'P' pr[len(ss) - 1] = True flp = True if not flp: if not su[-len(ss)]: if s[-len(ss):] == ss: b[i] = 'S' su[-len(ss)] = True flp = True if not flp: fl = False break if not fl: s = a[se] + a[fe][-1] pr = [False] * n su = [False] * n for i in range(len(a)): #pr flp = False ss = a[i] if not pr[len(ss) - 1]: if s[:len(ss)] == ss: b[i] = 'P' pr[len(ss) - 1] = True flp = True if not flp: if not su[-len(ss)]: if s[-len(ss):] == ss: b[i] = 'S' su[-len(ss)] = True flp = True for i in b: print(i, end = '') ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` n, k = [int(x) for x in input().split()] if k == 1: print("1" + "0"*(n-1)) elif 3*k <= n: # print("2") print(("0" * ((n-k)//2)) + "1" + ("0"*(k-2)) + "1" + "0" * ((n-k)//2)) else: tmp = "0" * ((n-k)//2) + "1" s = tmp s = tmp * (n // len(tmp) + 1) s = s[:n] print(s) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` N, K = map(int, input().split()) if N == K: print("0"*N) elif K == 1: print("0"*(N-1) + "1") elif K == 3: print("1" + "0"*(N-4) + "101") else: res = ["0"]*N for i in range(0, N, N//2-K//2+1): res[i] = "1" print(''.join(res)) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` n, k = map( int, input().split() ) d = n - k d = d // 2 l = [] while n > 0: i = min(n,d) while i>0: l.append('1') i -= 1 n -= 1 if n > 0: l.append('0') n -= 1 print( "".join( l ) ) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` n,k=map(int,input().split()) a=(n-k)//2 for i in range(n): if((i+1)%(a+1)==0): print("1",end='') else: print("0",end='') ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` #saved n, k = map(int, input().split()) if n == k: print('1' * n) elif k == 1: print('0' + '1' * (n - 1)) else: x = (n - k) // 2 a = '0' * x + '1' print(a * (n // (x + 1)) + '0' * (n % (x + 1))) ```
16,900
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * # from fractions import * # from functools 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 = 998244353 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() for _ in range(1): n,k = value() rep = [1] + [0]*((n-k)//2) cur = 0 ans = [] j = 0 for i in range(n): ans.append(rep[j]) j = (j + 1)%len(rep) if(k == 1): ans = [1] + [0]*(n - 1) print(*ans,sep = '') ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` n, k = list(map(int,input().split())) chuj_twojej_starej = (n - k) // 2 + 1 i = 1 while True: if i % chuj_twojej_starej == 0: print(0, end = "") else: print(1, end = "") if i == n: break i += 1 ```
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Provide tags and a correct Python 3 solution for this coding contest problem. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Tags: constructive algorithms, math, strings Correct Solution: ``` from collections import * from math import * n,k = map(int,input().split()) x = (n-k)//2+1 for i in range(1,n+1): if(i%x) == 0: print(1,end="") else: print(0,end="") print() ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` import os import sys def log(*args, **kwargs): if os.environ.get('CODEFR'): print(*args, **kwargs) n, k = tuple(map(int, input().split())) s = '0'*((n-k)//2) + '1' for i in range(n): print(s[i % len(s)], end='') print() ``` Yes
16,904
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code if __name__ == "__main__": n,k = map(int,input().split()) a = (n - k)//2 ps = '0'*a + '1' s = "" i = 0 while i + a + 1 <= n: s += ps i += a+1 if i < n: x = n - i s += ps[:x] print(s) ``` Yes
16,905
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` n,k=map(int,input().strip().split()) d=(n-k)//2+1 x=['1' if (i+1)%d==0 else '0' for i in range(n)] print(''.join(x)) ``` Yes
16,906
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` t=1 def solve(): k1=(n-k)//2 for i in range(n): print(int((i+1)%(k1+1)==0),end="") print() for _ in range(t): #n=int(input()) #n1=n #a=int(input()) #b=int(input()) #a,b,c,r=map(int,input().split()) #x2,y2=map(int,input().split()) #n=int(input()) n,k=(map(int,input().split())) #s=input() #l1=list(map(int,input().split())) #l2=list(map(int,input().split())) #l=str(n) #l.sort(reverse=True) #l2.sort(reverse=True) #l1.sort(reverse=True) solve() ``` Yes
16,907
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` n,k=map(int,input().split()) s="0" for i in range(1,k): if(s[i-1]=="0"): s=s+"1" else: s=s+"0" a="1"*(n-k) s=a+s s=s+"1"*(n-len(s)) print(s) ``` No
16,908
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` n, k = map(int, input().split()) if n == k: print('1' * n) elif n == k + 2: print('01' * (n // 2) + '0' * (n % 2)) elif n >= 2 * k: print('0' * k + '10' * ((n - k) // 2)) else: x = (n - k) // 2 a = '0' * x c = '0' * x r = '1' + '0' * x z = '1' if (k - 1) % (x + 1) == 0: z = '' b = r * ((k - 1) // (x + 1)) + z + '0' * (max(0, (k - 1) % (x + 1))) print(a+b+'1'+c) ``` No
16,909
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` n, k = map(int, input().split()) if n == k: print('1' * n) elif n >= 2 * k: print('0' * k + '10' * ((n - k) // 2)) else: x = (n - k) // 2 a = '0' * x + '1' print(a * (n // (x + 1)) + '0' * (n % (x + 1))) ``` No
16,910
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let s be some string consisting of symbols "0" or "1". Let's call a string t a substring of string s, if there exists such number 1 ≤ l ≤ |s| - |t| + 1 that t = s_l s_{l+1} … s_{l + |t| - 1}. Let's call a substring t of string s unique, if there exist only one such l. For example, let s = "1010111". A string t = "010" is an unique substring of s, because l = 2 is the only one suitable number. But, for example t = "10" isn't a unique substring of s, because l = 1 and l = 3 are suitable. And for example t ="00" at all isn't a substring of s, because there is no suitable l. Today Vasya solved the following problem at the informatics lesson: given a string consisting of symbols "0" and "1", the task is to find the length of its minimal unique substring. He has written a solution to this problem and wants to test it. He is asking you to help him. You are given 2 positive integers n and k, such that (n mod 2) = (k mod 2), where (x mod 2) is operation of taking remainder of x by dividing on 2. Find any string s consisting of n symbols "0" or "1", such that the length of its minimal unique substring is equal to k. Input The first line contains two integers n and k, separated by spaces (1 ≤ k ≤ n ≤ 100 000, (k mod 2) = (n mod 2)). Output Print a string s of length n, consisting of symbols "0" and "1". Minimal length of the unique substring of s should be equal to k. You can find any suitable string. It is guaranteed, that there exists at least one such string. Examples Input 4 4 Output 1111 Input 5 3 Output 01010 Input 7 3 Output 1011011 Note In the first test, it's easy to see, that the only unique substring of string s = "1111" is all string s, which has length 4. In the second test a string s = "01010" has minimal unique substring t ="101", which has length 3. In the third test a string s = "1011011" has minimal unique substring t ="110", which has length 3. Submitted Solution: ``` n, k = map(int, input().split()) if n == k: print('1' * n) elif n == k + 2: print('01' * (n // 2) + '0' * (n % 2)) else: z = '0' * ((n - k) // 2) print(z + '10' * (k // 2) + '1' * (k % 2) + z) ``` No
16,911
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0
Provide tags and a correct Python 3 solution for this coding contest problem. While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings a and b, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other. A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. Input The first line contains string a, and the second line — string b. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. Output If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of a and b. Examples Input abcd defgh Output 5 Input a a Output -1 Note In the first example: you can choose "defgh" from string b as it is the longest subsequence of string b that doesn't appear as a subsequence of string a. Tags: constructive algorithms, strings Correct Solution: ``` strng1, strng2 = input(), input() if strng1 == strng2: print(-1) elif len(strng1) > len(strng2): print(len(strng1)) else: print(len(strng2)) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings a and b, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other. A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. Input The first line contains string a, and the second line — string b. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. Output If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of a and b. Examples Input abcd defgh Output 5 Input a a Output -1 Note In the first example: you can choose "defgh" from string b as it is the longest subsequence of string b that doesn't appear as a subsequence of string a. Tags: constructive algorithms, strings Correct Solution: ``` first = input() second = input() m = '' counter = 0 def compute(a, b): m = a[:] counter = len(m) if a == b: return -1 for i in range(0, len(m)): if m not in b: return counter else: counter-=1 m = m[i:] return counter print(max(compute(first, second), compute(second, first))) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings a and b, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other. A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. Input The first line contains string a, and the second line — string b. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. Output If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of a and b. Examples Input abcd defgh Output 5 Input a a Output -1 Note In the first example: you can choose "defgh" from string b as it is the longest subsequence of string b that doesn't appear as a subsequence of string a. Tags: constructive algorithms, strings Correct Solution: ``` a=str(input()) b=str(input()) c=list(b) d=list(a) if a==b: print(-1) elif len(c)==0 or len(d)==0: print(-1) else: print(max(len(c),len(d))) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings a and b, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other. A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. Input The first line contains string a, and the second line — string b. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. Output If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of a and b. Examples Input abcd defgh Output 5 Input a a Output -1 Note In the first example: you can choose "defgh" from string b as it is the longest subsequence of string b that doesn't appear as a subsequence of string a. Tags: constructive algorithms, strings Correct Solution: ``` a = input() b = input() if a == b: otv = -1 elif len(a) > len(b): otv = len(a) else: otv = len(b) print(otv) ```
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0
Provide tags and a correct Python 3 solution for this coding contest problem. While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings a and b, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other. A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. Input The first line contains string a, and the second line — string b. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. Output If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of a and b. Examples Input abcd defgh Output 5 Input a a Output -1 Note In the first example: you can choose "defgh" from string b as it is the longest subsequence of string b that doesn't appear as a subsequence of string a. Tags: constructive algorithms, strings Correct Solution: ``` s = input() w = input() print('-1' if s == w else max(len(s), len(w))) ```
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