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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 has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with. String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors β€” "ab" and "abab". Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. Input The first input line contains a non-empty string s1. The second input line contains a non-empty string s2. Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. Output Print the number of common divisors of strings s1 and s2. Examples Input abcdabcd abcdabcdabcdabcd Output 2 Input aaa aa Output 1 Note In first sample the common divisors are strings "abcd" and "abcdabcd". In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". Submitted Solution: ``` def is_div(s1, s2): s = s2 while len(s)<len(s1): s += (s2) if s==s1: return True else: return False a = input() b = input() for i in range(1,len(a)+1): if len(a)%i != 0: continue if is_div(a,a[:i]): root_a = a[:i] break for i in range(1,len(b)+1): if len(b)%i != 0: continue if is_div(b,b[:i]): root_b = b[:i] break if root_a != root_b: print(0) else: p = len(root_a) q = len(root_b) la = len(a) lb = len(b) sieve = [0 for i in range(max(la,lb)+1)] res = 0 for i in range(p, la+1, p): sieve[i] += 1 for i in range(q, lb+1, q): sieve[i] += 1 for i in range(1, min(la,lb)+1): if sieve[i]>=2 and la%i==0 and lb%i==0: res += 1 print(res) ```
instruction
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1
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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 has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with. String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors β€” "ab" and "abab". Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. Input The first input line contains a non-empty string s1. The second input line contains a non-empty string s2. Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. Output Print the number of common divisors of strings s1 and s2. Examples Input abcdabcd abcdabcdabcdabcd Output 2 Input aaa aa Output 1 Note In first sample the common divisors are strings "abcd" and "abcdabcd". In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time sys.setrecursionlimit(10**7) inf = 10**9 def factorize(n): if n < 2: return [] arr = [] def _add(n): if len(arr) > 0 and arr[-1][0] == n: arr[-1][1] += 1 else: arr.append([n,1]) for i in [2, 3]: while (n % i == 0): _add(i) n = n / i i, add = 5, 2 while (n >= i * i): while (n % i == 0): _add(i) n = n / i i = i + add add = 6 - add if (n > 1): _add(i) return arr def f(): a = input() b = input() if len(a) > len(b): a,b = b,a al = len(a) bl = len(b) if al > 4 and a[4] == 'u': return [al,bl] if a != b[:al]: return 0 g = fractions.gcd(al, bl) t = factorize(g) tk = 1 for n,i in t: tk *= i+1 r = 0 if len(set(b)) == 1: r += 1 for n,i in t: ri = 0 s = b ni = n**i while ni > 1: si = s[:ni] sf = False for j in range(1,n): if si != s[ni*j:ni*j+ni]: sf = True break if sf: break ri += 1 ni //= n s = si if ri > 0: tk //= i+1 r += ri * tk return r print(f()) ```
instruction
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No
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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 has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with. String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors β€” "ab" and "abab". Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. Input The first input line contains a non-empty string s1. The second input line contains a non-empty string s2. Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. Output Print the number of common divisors of strings s1 and s2. Examples Input abcdabcd abcdabcdabcdabcd Output 2 Input aaa aa Output 1 Note In first sample the common divisors are strings "abcd" and "abcdabcd". In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time sys.setrecursionlimit(10**7) inf = 10**9 def factorize(n): if n < 2: return [] arr = [] def _add(n): if len(arr) > 0 and arr[-1][0] == n: arr[-1][1] += 1 else: arr.append([n,1]) for i in [2, 3]: while (n % i == 0): _add(i) n = n / i i, add = 5, 2 while (n >= i * i): while (n % i == 0): _add(i) n = n / i i = i + add add = 6 - add if (n > 1): _add(i) return arr def f(): a = input() b = input() if len(a) > len(b): a,b = b,a al = len(a) bl = len(b) if a != b[:al]: return 0 g = fractions.gcd(al, bl) if g == 1: if len(set(b)) > 1: return 0 else: return 1 t = factorize(g) tk = 1 for n,i in t: tk *= i+1 r = 0 for n,i in t: ri = 0 tk //= i+1 s = b ni = n**i while ni > 1: si = s[:ni] sf = False for j in range(1,n): if si != s[ni*j:ni*j+ni]: sf = True break if sf: break ri += 1 ni //= n s = si r += ri * tk return r print(f()) ```
instruction
0
46,548
0
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No
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1
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93,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with. String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors β€” "ab" and "abab". Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. Input The first input line contains a non-empty string s1. The second input line contains a non-empty string s2. Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. Output Print the number of common divisors of strings s1 and s2. Examples Input abcdabcd abcdabcdabcdabcd Output 2 Input aaa aa Output 1 Note In first sample the common divisors are strings "abcd" and "abcdabcd". In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". Submitted Solution: ``` import os,sys,math from io import BytesIO, IOBase from collections import defaultdict,deque,OrderedDict import bisect as bi def yes():print('YES') def no():print('NO') def I():return (int(input())) def In():return(map(int,input().split())) def ln():return list(map(int,input().split())) def Sn():return input().strip() BUFSIZE = 8192 #complete the main function with number of test cases to complete greater than x def find_gt(a, x): i = bi.bisect_left(a, x) if i != len(a): return i else: return len(a) def printDivisors(n) : # Note that this loop runs till square root i = 1 ans=[] while i <= math.sqrt(n): if (n % i == 0) : # If divisors are equal, print only one if (n / i == i) : ans.append(i) else : # Otherwise print both ans.append(i) ans.append(n//i) i = i + 1 return(ans) def solve(): a=Sn() b=Sn() n1,n2=len(a),len(b) d=defaultdict(list) for i in range(n1): d[a[i]].append(i) mx1=0 for x in d: if len(d[x])==1: mx1=n1 break for i in range(len(d[x])-1): mx1=max(mx1,d[x][i+1]-d[x][i]) d1=defaultdict(list) for i in range(n2): d1[b[i]].append(i) mx2=0 for x in d1: if len(d1[x])==1: mx2=n2 break for i in range(len(d1[x])-1): mx2=max(mx2,d1[x][i+1]-d1[x][i]) if mx1!=mx2: print(0) return for i in range(mx1): if a[i]!=b[i]: print(0) return cnt=0 # for i in range(1,min(n1,n2)+1): # if n1%(i*mx1)==0 and len(b)%(i*mx1)==0: # cnt+=1 # print(cnt) if n1>n2: n1,n2=n2,n1 p1,p2=printDivisors(n1),printDivisors(n2) cn1,cn2=0,0 for x in p1: if n2%x==0 and x%mx1==0: cn1+=1 print(cn1) pass def main(): T=1 for i in range(T): solve() M = 998244353 P = 1000000007 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
instruction
0
46,549
0
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No
output
1
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93,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with. String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors β€” "ab" and "abab". Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. Input The first input line contains a non-empty string s1. The second input line contains a non-empty string s2. Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. Output Print the number of common divisors of strings s1 and s2. Examples Input abcdabcd abcdabcdabcdabcd Output 2 Input aaa aa Output 1 Note In first sample the common divisors are strings "abcd" and "abcdabcd". In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". Submitted Solution: ``` import os,sys,math from io import BytesIO, IOBase from collections import defaultdict,deque,OrderedDict import bisect as bi def yes():print('YES') def no():print('NO') def I():return (int(input())) def In():return(map(int,input().split())) def ln():return list(map(int,input().split())) def Sn():return input().strip() BUFSIZE = 8192 #complete the main function with number of test cases to complete greater than x def find_gt(a, x): i = bi.bisect_left(a, x) if i != len(a): return i else: return len(a) def printDivisors(n) : # Note that this loop runs till square root i = 1 ans=[] while i <= math.sqrt(n): if (n % i == 0) : # If divisors are equal, print only one if (n / i == i) : ans.append(i) else : # Otherwise print both ans.append(i) ans.append(n//i) i = i + 1 return(ans) def solve(): a=Sn() b=Sn() tp='wutmmwxxnjymqpcbarigedelmjnlcjgkdncjvpmzhaimacqm' n1,n2=len(a),len(b) ok=False if n1>=len(tp) and a[:len(tp)]==tp: ok=True d=defaultdict(list) for i in range(n1): d[a[i]].append(i) mx1=0 for x in d: if len(d[x])==1: mx1=n1 break for i in range(len(d[x])-1): mx1=max(mx1,d[x][i+1]-d[x][i]) d1=defaultdict(list) for i in range(n2): d1[b[i]].append(i) mx2=0 for x in d1: if len(d1[x])==1: mx2=n2 break for i in range(len(d1[x])-1): mx2=max(mx2,d1[x][i+1]-d1[x][i]) if mx1!=mx2: if ok: print('break1') print(0) return for i in range(mx1): if a[i]!=b[i]: if ok: print('break1') print(0) return cnt=0 # for i in range(1,min(n1,n2)+1): # if n1%(i*mx1)==0 and len(b)%(i*mx1)==0: # cnt+=1 # print(cnt) if n1>n2: n1,n2=n2,n1 p1,p2=printDivisors(n1),printDivisors(n2) cn1,cn2=0,0 for x in p1: if n2%x==0 and x%mx1==0: cn1+=1 print(cn1) if ok: print('break3',n1,n2,mx1,mx2) pass def main(): T=1 for i in range(T): solve() M = 998244353 P = 1000000007 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
instruction
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Santa Claus likes palindromes very much. There was his birthday recently. k of his friends came to him to congratulate him, and each of them presented to him a string si having the same length n. We denote the beauty of the i-th string by ai. It can happen that ai is negative β€” that means that Santa doesn't find this string beautiful at all. Santa Claus is crazy about palindromes. He is thinking about the following question: what is the maximum possible total beauty of a palindrome which can be obtained by concatenating some (possibly all) of the strings he has? Each present can be used at most once. Note that all strings have the same length n. Recall that a palindrome is a string that doesn't change after one reverses it. Since the empty string is a palindrome too, the answer can't be negative. Even if all ai's are negative, Santa can obtain the empty string. Input The first line contains two positive integers k and n divided by space and denoting the number of Santa friends and the length of every string they've presented, respectively (1 ≀ k, n ≀ 100 000; nΒ·k ≀ 100 000). k lines follow. The i-th of them contains the string si and its beauty ai ( - 10 000 ≀ ai ≀ 10 000). The string consists of n lowercase English letters, and its beauty is integer. Some of strings may coincide. Also, equal strings can have different beauties. Output In the only line print the required maximum possible beauty. Examples Input 7 3 abb 2 aaa -3 bba -1 zyz -4 abb 5 aaa 7 xyx 4 Output 12 Input 3 1 a 1 a 2 a 3 Output 6 Input 2 5 abcde 10000 abcde 10000 Output 0 Note In the first example Santa can obtain abbaaaxyxaaabba by concatenating strings 5, 2, 7, 6 and 3 (in this order). Submitted Solution: ``` from sys import stdin n, k = map(int, stdin.readline().split()) strings = dict() for i in range(n): string, beauty = stdin.readline().split() beauty = int(beauty) if string not in strings: strings[string] = [] strings[string].append(beauty) for string in strings: strings[string].sort(reverse=True) used = set() best = 0 mid = 0 for string in strings: if string not in used: pal = string[::-1] used.add(pal) if string == pal: i = 0 while i < len(strings[pal]) and strings[pal][i] > 0: i += 1 if i % 2 == 1: best += sum(strings[pal][:i - 1]) if mid < strings[pal][i - 1]: mid = strings[pal][i - 1] else: best += sum(strings[pal][:i]) elif pal in strings: i = 0 while i < min(len(strings[pal]), len(strings[string])) and strings[pal][i] + strings[string][i] > 0: best += strings[pal][i] + strings[string][i] i += 1 print(best + mid) ```
instruction
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46,744
0
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No
output
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93,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Santa Claus likes palindromes very much. There was his birthday recently. k of his friends came to him to congratulate him, and each of them presented to him a string si having the same length n. We denote the beauty of the i-th string by ai. It can happen that ai is negative β€” that means that Santa doesn't find this string beautiful at all. Santa Claus is crazy about palindromes. He is thinking about the following question: what is the maximum possible total beauty of a palindrome which can be obtained by concatenating some (possibly all) of the strings he has? Each present can be used at most once. Note that all strings have the same length n. Recall that a palindrome is a string that doesn't change after one reverses it. Since the empty string is a palindrome too, the answer can't be negative. Even if all ai's are negative, Santa can obtain the empty string. Input The first line contains two positive integers k and n divided by space and denoting the number of Santa friends and the length of every string they've presented, respectively (1 ≀ k, n ≀ 100 000; nΒ·k ≀ 100 000). k lines follow. The i-th of them contains the string si and its beauty ai ( - 10 000 ≀ ai ≀ 10 000). The string consists of n lowercase English letters, and its beauty is integer. Some of strings may coincide. Also, equal strings can have different beauties. Output In the only line print the required maximum possible beauty. Examples Input 7 3 abb 2 aaa -3 bba -1 zyz -4 abb 5 aaa 7 xyx 4 Output 12 Input 3 1 a 1 a 2 a 3 Output 6 Input 2 5 abcde 10000 abcde 10000 Output 0 Note In the first example Santa can obtain abbaaaxyxaaabba by concatenating strings 5, 2, 7, 6 and 3 (in this order). Submitted Solution: ``` from sys import stdin n, k = map(int, stdin.readline().split()) strings = dict() for i in range(n): string, beauty = stdin.readline().split() beauty = int(beauty) if string not in strings: strings[string] = [] strings[string].append(beauty) for string in strings: strings[string].sort(reverse=True) used = set() best = 0 mid = 0 for string in strings: if string not in used: pal = string[::-1] used.add(pal) if string == pal: i = 0 while i + 1 < len(strings[pal]) and strings[pal][i] + strings[pal][i + 1] > 0: best += strings[pal][i] + strings[pal][i + 1] i += 2 if i < len(strings[pal]) and strings[pal][i] > mid: mid = strings[pal][i] elif pal in strings: i = 0 while i < min(len(strings[pal]), len(strings[string])) and strings[pal][i] + strings[string][i] > 0: best += strings[pal][i] + strings[string][i] i += 1 print(best + mid) ```
instruction
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46,745
0
93,490
No
output
1
46,745
0
93,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Santa Claus likes palindromes very much. There was his birthday recently. k of his friends came to him to congratulate him, and each of them presented to him a string si having the same length n. We denote the beauty of the i-th string by ai. It can happen that ai is negative β€” that means that Santa doesn't find this string beautiful at all. Santa Claus is crazy about palindromes. He is thinking about the following question: what is the maximum possible total beauty of a palindrome which can be obtained by concatenating some (possibly all) of the strings he has? Each present can be used at most once. Note that all strings have the same length n. Recall that a palindrome is a string that doesn't change after one reverses it. Since the empty string is a palindrome too, the answer can't be negative. Even if all ai's are negative, Santa can obtain the empty string. Input The first line contains two positive integers k and n divided by space and denoting the number of Santa friends and the length of every string they've presented, respectively (1 ≀ k, n ≀ 100 000; nΒ·k ≀ 100 000). k lines follow. The i-th of them contains the string si and its beauty ai ( - 10 000 ≀ ai ≀ 10 000). The string consists of n lowercase English letters, and its beauty is integer. Some of strings may coincide. Also, equal strings can have different beauties. Output In the only line print the required maximum possible beauty. Examples Input 7 3 abb 2 aaa -3 bba -1 zyz -4 abb 5 aaa 7 xyx 4 Output 12 Input 3 1 a 1 a 2 a 3 Output 6 Input 2 5 abcde 10000 abcde 10000 Output 0 Note In the first example Santa can obtain abbaaaxyxaaabba by concatenating strings 5, 2, 7, 6 and 3 (in this order). Submitted Solution: ``` from sys import stdin n, k = map(int, stdin.readline().split()) strings = dict() for i in range(n): string, beauty = stdin.readline().split() beauty = int(beauty) if string not in strings: strings[string] = [] strings[string].append(beauty) for string in strings: strings[string].sort(reverse=True) used = set() best = 0 mid = 0 for string in strings: if string not in used: pal = string[::-1] used.add(pal) if string == pal: i = 0 while i + 1 < len(strings[pal]) and strings[pal][i] + strings[pal][i + 1] > 0: best += strings[pal][i] + strings[pal][i + 1] i += 2 if i < len(strings[pal]) and strings[pal][i] > mid: mid = strings[pal][i] continue if pal in strings: i = 0 while i < min(len(strings[pal]), len(strings[string])) and strings[pal][i] + strings[string][i] > 0: best += strings[pal][i] + strings[string][i] i += 1 print(best + mid) ```
instruction
0
46,747
0
93,494
No
output
1
46,747
0
93,495
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,776
0
93,552
Tags: binary search, implementation, two pointers Correct Solution: ``` s=input() s1=set() for i in s: s1.add(i) l1=list(s1) an=len(s) for i in l1: st=-1 mx=0 for j in range(len(s)): if s[j]==i: mx=max(mx,j-st) st=j mx=max(mx,len(s)-st) an=min(an,mx) print(an) ```
output
1
46,776
0
93,553
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,777
0
93,554
Tags: binary search, implementation, two pointers Correct Solution: ``` import sys,math s=input() n=len(s) a=[[0] for i in range(26)] for i in range(n): a[ord(s[i])-97].append(i+1) for i in range(26): a[i].append(n+1) ans=n+1 for i in range(26): cur=0 for j in range(1,len(a[i])): cur=max(cur,a[i][j]-a[i][j-1]) ans=min(ans,cur) print(ans) ```
output
1
46,777
0
93,555
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,778
0
93,556
Tags: binary search, implementation, two pointers Correct Solution: ``` from math import ceil s=input() def isgood(k): d={} q=set(s[:k]) for x in range(26): d[chr(x+ord('a'))]=0 for x in range(k): d[s[x]]+=1 for x in range(k,len(s)): d[s[x-k]]-=1 d[s[x]]+=1 tmp=q.copy() for y in q: if d[y]==0: tmp.remove(y) q=tmp if len(q)==0: break return len(q)>0 l=0 r=len(s) while r-l>1: mid=ceil((r+l)/2) if isgood(mid): r=mid else: l=mid print(r) ```
output
1
46,778
0
93,557
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,779
0
93,558
Tags: binary search, implementation, two pointers Correct Solution: ``` """ Author - Satwik Tiwari . 19th Jan , 2021 - Tuesday """ #=============================================================================================== #importing some useful libraries. from __future__ import division, print_function # from fractions import Fraction import sys import os from io import BytesIO, IOBase # from itertools import * from heapq import * from math import gcd, factorial,floor,ceil,sqrt,log2 from copy import deepcopy from collections import deque from bisect import bisect_left as bl from bisect import bisect_right as br from bisect import bisect #============================================================================================== #fast I/O region BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") def print(*args, **kwargs): """Prints the values to a stream, or to sys.stdout by default.""" sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() if sys.version_info[0] < 3: sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) else: sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) # inp = lambda: sys.stdin.readline().rstrip("\r\n") #=============================================================================================== ### START ITERATE RECURSION ### from types import GeneratorType def iterative(f, stack=[]): def wrapped_func(*args, **kwargs): if stack: return f(*args, **kwargs) to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) continue stack.pop() if not stack: break to = stack[-1].send(to) return to return wrapped_func #### END ITERATE RECURSION #### #=============================================================================================== #some shortcuts def inp(): return sys.stdin.readline().rstrip("\r\n") #for fast input def out(var): sys.stdout.write(str(var)) #for fast output, always take string def lis(): return list(map(int, inp().split())) def stringlis(): return list(map(str, inp().split())) def sep(): return map(int, inp().split()) def strsep(): return map(str, inp().split()) # def graph(vertex): return [[] for i in range(0,vertex+1)] def testcase(t): for pp in range(t): solve(pp) def google(p): print('Case #'+str(p)+': ',end='') def lcm(a,b): return (a*b)//gcd(a,b) def power(x, y, p) : y%=(p-1) #not so sure about this. used when y>p-1. if p is prime. res = 1 # Initialize result x = x % p # Update x if it is more , than or equal to p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : # If y is odd, multiply, x with result res = (res * x) % p y = y >> 1 # y = y/2 x = (x * x) % p return res def ncr(n,r): return factorial(n) // (factorial(r) * factorial(max(n - r, 1))) def isPrime(n) : if (n <= 1) : return False if (n <= 3) : return True if (n % 2 == 0 or n % 3 == 0) : return False i = 5 while(i * i <= n) : if (n % i == 0 or n % (i + 2) == 0) : return False i = i + 6 return True inf = pow(10,20) mod = 10**9+7 #=============================================================================================== # code here ;)) def solve(case): a = list(inp());n = len(a) ans = n for i in range(97,97+26): curr = chr(i) prev = -1 k = -1 for j in range(n): if(j == n-1): k = max(k,j-prev if a[j] == curr else j-prev+1) else: if(a[j] == curr): k = max(k,j-prev) prev = j ans = min(ans,k) print(ans) testcase(1) # testcase(int(inp())) ```
output
1
46,779
0
93,559
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,780
0
93,560
Tags: binary search, implementation, two pointers Correct Solution: ``` alphavite = 'abcdefghijklmnopqrstyvwxyz' s=input() minimal= len(s)+1 for i in alphavite: l= -1 maxl=0 for j in range (len(s)): if s[j]== i: maxl=max(maxl,j-l) l=j maxl=max(maxl,len(s)-l) minimal = min(minimal,maxl) print(minimal) ```
output
1
46,780
0
93,561
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,781
0
93,562
Tags: binary search, implementation, two pointers Correct Solution: ``` s=input() c=float('Inf') for chr in set(s): l=0 for j in s.split(chr): l=max(l,len(j)) c=min(l,c) print(c+1) ```
output
1
46,781
0
93,563
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,782
0
93,564
Tags: binary search, implementation, two pointers Correct Solution: ``` s = input().strip() memomin = dict() memolast = dict() for i,e in enumerate(s): if e not in memomin: memomin[e] = i+1 memolast[e] = i else: memomin[e] = max(memomin[e], i - memolast[e]) memolast[e] = i for e in memomin: memomin[e] = max(memomin[e], len(s) - memolast[e]) print(min(memomin.values())) ```
output
1
46,782
0
93,565
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3
instruction
0
46,783
0
93,566
Tags: binary search, implementation, two pointers Correct Solution: ``` import sys import math def check(L): vis = [True for i in range(26)] cnt = [0 for i in range(26)] for i in range(L): val = s[i] cnt[val] += 1 for i in range(len(cnt)): if not cnt[i]: vis[i] = False for i in range(L, len(s)): val = s[i] cnt[val] += 1 val = s[i-L] cnt[val] -= 1 if not cnt[val]: vis[val] = False for i in vis: if i: return True return False s = list(map(lambda x: ord(x)-ord('a'), input())) l = 0 r = len(s) while r > l: mid = (l + r) >> 1 if check(mid): r = mid else: l = mid+1 print(l) ```
output
1
46,783
0
93,567
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` s = input() chars = list(set(s)) print(min(max(map(len, s.split(c))) + 1 for c in chars)) ```
instruction
0
46,784
0
93,568
Yes
output
1
46,784
0
93,569
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` MOD = 1000000007 ii = lambda : int(input()) si = lambda : input() dgl = lambda : list(map(int, input())) f = lambda : map(int, input().split()) il = lambda : list(map(int, input().split())) ls = lambda : list(input()) s=si() n=len(s) mn=n+10 for i in 'abcdefghijklmnopqrstuvwxyz': pi=0 mx=0 for j in range(n): if s[j]==i: mx=max(mx,j-pi+1) pi=j+1 mx=max(mx,n-pi+1) mn=min(mn,mx) print(mn) ```
instruction
0
46,785
0
93,570
Yes
output
1
46,785
0
93,571
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` word = input() ans = [] for c in set(list(word)): maior_dist = 0 atual_dist = 0 last_pos = 0 for i, let in enumerate(word): if let == c: atual_dist += 1 if atual_dist > maior_dist: maior_dist = atual_dist atual_dist = 0 last_pos = i else: atual_dist += 1 if atual_dist > maior_dist: maior_dist = atual_dist ans.append(max(maior_dist, len(word) - last_pos)) print(min(ans)) ```
instruction
0
46,786
0
93,572
Yes
output
1
46,786
0
93,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` s = str(input()) n = len(s) ans = 10**18 for i in range(26): c = chr(i+ord('a')) temp = -1 p = [] for j in range(n): if s[j] == c: p.append(j-temp) temp = j else: p.append(n-temp) #print(p) if p: ans = min(ans, max(p)) print(ans) ```
instruction
0
46,787
0
93,574
Yes
output
1
46,787
0
93,575
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` s=input() se=set(s) if len(se)==len(s): print((len(s)//2)+1) elif len(se)==1: print(1) else: dif={} d={} for index,i in enumerate(s): if d.get(i,[])!=[]: if len(d[i])>=2: dif[i]=max(index-d[i][-1],dif[i]) else: dif[i] =index - d[i][-1] d[i].append(index) else: d[i]=[] d[i].append(index) dif[i]=index+1 need=sorted(d.keys(),key=lambda k:dif[k],reverse=False) req=True num = (len(s) // 2) + 1 for i in need: if len(d[i])>=(len(s)//dif[i]) and dif[i]<=num: print(dif[i]) req=False break if req: print(num) ```
instruction
0
46,788
0
93,576
No
output
1
46,788
0
93,577
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` from collections import defaultdict s=input() d={} d=defaultdict(lambda:0,d) d1={} d1=defaultdict(lambda:-1,d1) k=1 for i in s: if d[i]==0: d[i]=k else: d1[i]=max(k-d[i],d1[i]) d[i]=k k+=1 #print(d) #print(d1) ans=[] for i in d1.keys(): ans.append(d1[i]) if len(ans)==0: print(len(s)//2+1) else: print(min(ans)) ```
instruction
0
46,789
0
93,578
No
output
1
46,789
0
93,579
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` a = input() k = 999999 o = k m = 1 err = 0 for i in range(len(a)): for j in range(i+1,len(a)): if a[i] == a[j]: err = 1 break if err == 1: for i in range(len(a)): t = a[i] j = i + 1 while (j < len(a)) and (a[j] != t): m += 1 j += 1 if (m < k): if (j <= len(a)): if (a[j] == a[i]): k = m #Π±Π΅Ρ€Π΅ΠΌ a[i] символ ΠΈ ΠΈΡ‰Π΅ΠΌ для Π½Π΅Π³ΠΎ макс Π΄Π»ΠΈΠ½Ρƒ подстроки if err == 0: print(len(a)//2 + 1) else: print(k) ```
instruction
0
46,790
0
93,580
No
output
1
46,790
0
93,581
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c. You have to find minimum k such that there exists at least one k-dominant character. Input The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 100000). Output Print one number β€” the minimum value of k such that there exists at least one k-dominant character. Examples Input abacaba Output 2 Input zzzzz Output 1 Input abcde Output 3 Submitted Solution: ``` s=input() t=set(s) t=list(t) def verif(c,s,k): compt=0 for i in range(len(s)): compt+=1 if (c==s[i]): compt=0 if(compt==k): return False return True v=[] right=len(s) left=0 while(right-left>1): mid=(right+left)//2 if(verif(t[0],s,mid)): right=mid else: left=mid v.append(right) for i in range(1,len(t)): if(verif(s[i],s,min(v)-1)): left=0 right=len(s) while(right-left>1): mid=(right+left)//2 if(verif(t[i],s,mid)): right=mid else: left=mid v.append(right) print(min(v)) ```
instruction
0
46,791
0
93,582
No
output
1
46,791
0
93,583
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,173
0
94,346
Tags: brute force, implementation, strings Correct Solution: ``` #!/usr/bin/env python3 target = "abacaba" def count(s): c = 0 for i in range(len(s) - len(target) + 1): c += (s[i:(i + len(target))] == target) return c def main(): t = int(input()) for _ in range(t): n = int(input()) s = input() c = count(s) if c == 0: for i in range(len(s) - len(target) + 1): if all(i == "?" or i == j for (i, j) in zip(s[i:(i + len(target))], target)): temp = s[:i] + target + s[i + len(target):] if count(temp) == 1: print("YES") print(temp.replace("?", "z")) break else: print("NO") elif c == 1: print("YES") print(s.replace("?", "z")) else: print("NO") if __name__ == "__main__": main() ```
output
1
47,173
0
94,347
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,174
0
94,348
Tags: brute force, implementation, strings Correct Solution: ``` import math import collections def check(n,s): cnt = 0 for i in range(len(s)): if "".join(s[i:i+7]) == 'abacaba': cnt+=1 return cnt t = int(input()) for i in range(t): n = int(input()) s = input() T = 'abacaba' f = False for i in range(n-7+1): ss = [k for k in s] ok = True for j in range(7): if ss[i+j]!="?" and ss[i+j]!=T[j]: ok = False break ss[i+j] = T[j] if ok and check(n,ss) == 1: for j in range(n): if ss[j] == "?": ss[j] = "d" f = True print("Yes") print("".join(ss)) break if not f: print("NO") ```
output
1
47,174
0
94,349
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,175
0
94,350
Tags: brute force, implementation, strings Correct Solution: ``` import re t='abacaba' for s in[*open(0)][2::2]: i=0;f=1 while 1: q,f=re.subn(''.join(rf'({x}|\?)'for x in t),t,s[i:],1);q=s[:i]+q;i+=1 if f<1or q.find(t,q.find(t)+1)<0:break print(*(['NO'],['YES',q.replace('?','d')])[f]) ```
output
1
47,175
0
94,351
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,176
0
94,352
Tags: brute force, implementation, strings Correct Solution: ``` t = "abacaba" def count(s): cnt = 0 s = "".join(map(str,s)) for i in range(len(s)): if s[i:i+len(t)] == t: cnt += 1 return cnt def solve(n,s): ss = [] for i in range(n): ss.append(s[i]) temp = ss flag = False okay = True for i in range(n-len(t)+1): ss = temp.copy() okay = True for j in range(0,len(t)): if ss[i+j] != "?" and ss[i+j] != t[j]: okay = False break ss[i+j] = t[j] if okay and count(ss) == 1: for j in range(0,n): if ss[j] == "?": ss[j] = "z" flag = True print("YES") print("".join(map(str,ss))) break if flag == False: print("NO") return if __name__ == '__main__': q = int(input()) for _ in range(q): n = int(input()) s = input() solve(n,s) ```
output
1
47,176
0
94,353
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,177
0
94,354
Tags: brute force, implementation, strings Correct Solution: ``` import sys import math import bisect from sys import stdin, stdout from math import gcd, floor, sqrt, log from collections import defaultdict as dd from bisect import bisect_left as bl, bisect_right as br from collections import Counter #sys.setrecursionlimit(100000000) inp = lambda: int(input()) strng = lambda: input().strip() jn = lambda x, l: x.join(map(str, l)) strl = lambda: list(input().strip()) mul = lambda: map(int, input().strip().split()) mulf = lambda: map(float, input().strip().split()) seq = lambda: list(map(int, input().strip().split())) ceil = lambda x: int(x) if (x == int(x)) else int(x) + 1 ceildiv = lambda x, d: x // d if (x % d == 0) else x // d + 1 flush = lambda: stdout.flush() stdstr = lambda: stdin.readline() stdint = lambda: int(stdin.readline()) stdpr = lambda x: stdout.write(str(x)) stdarr = lambda: map(int, stdstr().split()) mod = 1000000007 checkstr = 'abacaba' def my_count(string, substring): string_size = len(string) substring_size = len(substring) count = 0 for i in range(0,string_size-substring_size+1): if string[i:i+substring_size] == substring: count+=1 return count for _ in range(stdint()): n = stdint() s = input() l = list(s) # print(checkstr) if checkstr in s: c = my_count(s,checkstr) if c==1: print('Yes') if '?' in s: print(s.replace('?','d')) else: print(s) else: print('No') else: flag = 0 for i in range(n-6): c = [] for j in range(7): if l[i+j]=='?': c.append(checkstr[j]) else: c.append(l[i+j]) x='' # print(c) if x.join(c)==checkstr: c = l[:i+j-6]+c+l[i+j+1:] # print(x) x =x.join(c) count = my_count(x,checkstr) if count==1: flag = 1 print('Yes') if '?' in x: print(x.replace('?','d')) else: print(x) break else: x.replace('?','d') if flag == 0: print('No') ```
output
1
47,177
0
94,355
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,178
0
94,356
Tags: brute force, implementation, strings Correct Solution: ``` import sys input = sys.stdin.readline want = 'abacaba' T = int(input()) for _ in range(T): n = int(input()) s = input().strip() l = list(s) for i in range(n - 6): ll = l[:] works = True for c in range(7): if ll[c + i] == want[c] or ll[c+i] == '?': ll[c + i] = want[c] else: works = False if works: for j in range(n - 6): if i != j and ll[j:j+7] == list(want): break else: print('Yes') for j in range(n): if ll[j] == '?': ll[j] = 'd' print(''.join(ll)) break else: print('No') ```
output
1
47,178
0
94,357
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,179
0
94,358
Tags: brute force, implementation, strings Correct Solution: ``` import re cases = int(input()) output = '' for t in range(cases): n = int(input()) s = input() # if t == 178: # print(n,s) f1 = s.find('abacaba') f2 = s.find('abacaba',f1+1) if f1>-1 and f2>-1: output += 'No\n' else: if f1>-1: if '?' in s: s = s.replace('?','m') output += 'Yes\n'+s+'\n' else: rp = "(a|\?)(b|\?)(a|\?)(c|\?)(a|\?)(b|\?)(a|\?)" f = 0 for i in range(n-6): s1 = s[i:i+7] v = re.search(rp,s1) if v: vf = v start = i end = i+7 s2 = s s2 = s2.replace('?', 'm') s2 = s2[:start] + 'abacaba' + s2[end:] f4 = s2.find('abacaba') f3 = s2.find('abacaba', f4 + 1) if f4 > -1 and f3 > -1: continue else: output += 'Yes\n' + s2 + '\n' f = 1 break if f == 0: output += 'No\n' print(output) ```
output
1
47,179
0
94,359
Provide tags and a correct Python 3 solution for this coding contest problem. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring.
instruction
0
47,180
0
94,360
Tags: brute force, implementation, strings Correct Solution: ``` def solve(): target = "abacaba" target_with_z = "abazaba" n = int(input()) s = input() for i in range(n - 6): possible = True for j in range(7): if not (s[i + j] == "?" or s[i + j] == target[j]): possible = False if possible and (s[:i] + target_with_z + s[i + 7:]).find(target) == -1: print("Yes") print(s[:i].replace("?", "z") + target + s[i + 7:].replace("?", "z")) return print("No") T = int(input()) for i in range(T): solve() ```
output
1
47,180
0
94,361
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` for _ in range(int(input())): n = int(input()) t = list('abacaba') s = list(input()) c = 0 for i in range(n): if i +7 <= n: check = s[i:i+7] if check == t: c += 1 if c > 1: print('NO') continue if c != 1: flag2 = 0 for i in range(n): if i+7 <= n: ss = s[:] flag = 1 for j in range(i,i+7): #print(ss) if ss[j] == t[j-i]: pass elif ss[j] == '?': pass else: flag = 0 break if flag == 1: for j in range(i,i+7): ss[j] = t[j-i] #print(ss) for j in range(i+7,n): if ss[j] == '?': ss[j] = 'z' c = 0 #print(ss) for i in range(n): if i +7 <= n: check = ss[i:i+7] if check == t: c += 1 #print(c) if c == 1: s = ss flag2 = 1 #print(s) break if flag2: break #break #print(s,i) for i in range(n): if s[i] == '?': s[i] = 'z' c = 0 #print(s) #print(i) for i in range(n): if i +7 <= n: check = s[i:i+7] #print(check,t) if check == t: c += 1 #print(c,i) if c == 1: print('YES') print(''.join(s)) else: print('NO') ```
instruction
0
47,181
0
94,362
Yes
output
1
47,181
0
94,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` t = int(input()) def cout(t,sub): c = 0 for i in range(0,len(t)-6): if t[i:i+7] == sub: c += 1 if c > 1: return True return False for i in range(t): n = int(input()) p = input().strip(' ') sub = 'abacaba' if sub in p: if cout(p,sub): print('No') continue print('Yes') pnew = p.replace('?','z') print(pnew) continue else: for i in range(0,n-6): for j in range(i,i+7): if not((p[j] == sub[j-i]) or (p[j] == '?')): break else: pnew = p[:i] + sub + p[i+7:] pnew = pnew.replace('?','z') if cout(pnew,sub): continue print('Yes') print(pnew) break else: print('No') ```
instruction
0
47,182
0
94,364
Yes
output
1
47,182
0
94,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` def get_Z_arr(s): z = [0 for _ in range(len(s))] l = r = 0 for i in range(1, len(s)): if i <= r: z[i] = min(z[i - l], r - i + 1) while z[i] + i < len(s) and s[z[i] + i] == s[z[i]]: z[i] += 1 if r < i + z[i] - 1: l, r = i, i + z[i] - 1 return z if __name__ == '__main__': t = int(input()) for _ in range(t): n = int(input()) s = input() t = 'abacaba' z1 = get_Z_arr("abacaba#" + s) counter = sum([1 for x in z1 if x >= 7]) if counter >= 1 or n < 7: if counter == 1: print("Yes") print("".join([(s[k] if s[k] != '?' else 'z') for k in range(n)])) else: print("No") else: for i in range(n - 6): j = 0 stack = set() flag = True while j < 7 and (s[i + j] == '?' or s[i + j] == t[j]): # if s[i + j] == '?': if (j == 0 or j == 2) and i + j >= 6: flag &= (t != s[i + j - 6: i + j] + t[6]) elif (j == 4 or j == 6) and i + j + 6 < len(s): flag &= (t != t[0] + s[i + j + 1: i + j + 7]) elif j == 1 and i + j >= 5: flag &= (t != s[i + j - 5: i + j - 1] + t[4:]) elif j == 5 and i + j + 5 < len(s): flag &= (t != t[:3] + s[i + j + 2: i + j + 6]) if not flag: break j += 1 if j == 7 and flag: print("Yes") print("".join([t[k - i] if i <= k < i + j else (s[k] if s[k] != '?' else 'z') for k in range(n)])) break else: print('No') ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` t="abacaba" def match(s1,s): for i in range(len(s1)): if s1[i]!=t[i] and s1[i]!='?': return False return True def solve(): if s.find(t)!=s.rfind(t): return False if s.find(t)>=0: return s.replace('?','z') else: for i in range(n-6): if match(s[i:i+7],s): k=s[:i]+t+s[i+7:] if k.find(t)==k.rfind(t): return k.replace("?","z") return False for _ in range(int(input())): n=int(input()) s=input() ans=solve() if ans: print("Yes") print(ans) else: print("No") ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` def my_count(string, substring): string_size = len(string) substring_size = len(substring) count = 0 for i in range(0,string_size-substring_size+1): if string[i:i+substring_size] == substring: count+=1 return count x=int(input()) for j in range(x): y=0 a=int(input()) s=input() d=my_count(s,'abacaba') #print(d) if d==1: s=s.replace('?','d') print('Yes') print(s) elif d>1 or s.count('?')==0: print('No') else: a=s.count('?') for i in range(a): if my_count(s,'abacaba')==1: s=s.replace('?','d') print('Yes') print(s) y=1 break n=s.index('?') if n==0: s=s.replace('?','a',1) else: if s[n-1]=='b' or s[n-1]=='c': s=s.replace('?','a',1) elif s[n-2:n]=='ba': s=s.replace('?','c',1) else: s=s.replace('?','b',1) #print("s= ",s) if my_count(s,'abacaba')!=1: print('No') elif y!=1: print('Yes') print(s) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` def helper(s): ans=0 for i in range(len(s)-6): temp=s[i:i+7] if temp=="abacaba": ans+=1 return ans t=int(input()) for i in range(t): n=int(input()) s=input() if helper(s)>1: print("NO") elif helper(s)==1: temp="" for i in range(len(s)): if s[i]=="?": temp+="d" else: temp+=s[i] print("YES") print(temp) else: rec=0 t="abacaba" for i in range(len(s)-6): ans=1 temp=s[i:i+7] for q in range(len(temp)): if temp[q]!=t[q] and temp[q]!="?": ans=0 if ans==1: r="" for p in range(i): if s[p]=="?": r+="d" else: r+=s[p] r+="abacaba" for p in range(i+7,len(s)): r+=s[p] if helper(r)==1: print("YES") print(r) rec=1 break if rec==0: print("NO") ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # ------------------------------ def RL(): return map(int, sys.stdin.readline().rstrip().split()) def RLL(): return list(map(int, sys.stdin.readline().rstrip().split())) def N(): return int(input()) def comb(n, m): return factorial(n) / (factorial(m) * factorial(n - m)) if n >= m else 0 def perm(n, m): return factorial(n) // (factorial(n - m)) if n >= m else 0 def mdis(x1, y1, x2, y2): return abs(x1 - x2) + abs(y1 - y2) def toord(c): return ord(c)-ord('a') mod = 998244353 INF = float('inf') from math import factorial, sqrt, ceil, floor from collections import Counter, defaultdict, deque from heapq import heapify, heappop, heappush # ------------------------------ # f = open('./input.txt') # sys.stdin = f def main(): for _ in range(N()): n = N() s = input() cp = 'abacaba' num = 0 for i in range(n-6): if s[i: i+7]==cp: num+=1 if num>1: print('No') else: if num==1: print('Yes') print(s.replace('?', 'z')) else: tag = 0 for i in range(n-6): for j in range(7): if s[i+j]=='?' or s[i+j]==cp[j]: continue else: break else: tag = 1 s = s[:i] + cp + s[i+8:] break if tag==0: print("No") else: print("Yes") print(s.replace('?', 'z')) if __name__ == "__main__": main() ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Acacius is studying strings theory. Today he came with the following problem. You are given a string s of length n consisting of lowercase English letters and question marks. It is possible to replace question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once? Each question mark should be replaced with exactly one lowercase English letter. For example, string "a?b?c" can be transformed into strings "aabbc" and "azbzc", but can't be transformed into strings "aabc", "a?bbc" and "babbc". Occurrence of a string t of length m in the string s of length n as a substring is a index i (1 ≀ i ≀ n - m + 1) such that string s[i..i+m-1] consisting of m consecutive symbols of s starting from i-th equals to string t. For example string "ababa" has two occurrences of a string "aba" as a substring with i = 1 and i = 3, but there are no occurrences of a string "aba" in the string "acba" as a substring. Please help Acacius to check if it is possible to replace all question marks with lowercase English letters in such a way that a string "abacaba" occurs as a substring in a resulting string exactly once. Input First line of input contains an integer T (1 ≀ T ≀ 5000), number of test cases. T pairs of lines with test case descriptions follow. The first line of a test case description contains a single integer n (7 ≀ n ≀ 50), length of a string s. The second line of a test case description contains string s of length n consisting of lowercase English letters and question marks. Output For each test case output an answer for it. In case if there is no way to replace question marks in string s with a lowercase English letters in such a way that there is exactly one occurrence of a string "abacaba" in the resulting string as a substring output "No". Otherwise output "Yes" and in the next line output a resulting string consisting of n lowercase English letters. If there are multiple possible strings, output any. You may print every letter in "Yes" and "No" in any case you want (so, for example, the strings yEs, yes, Yes, and YES will all be recognized as positive answer). Example Input 6 7 abacaba 7 ??????? 11 aba?abacaba 11 abacaba?aba 15 asdf???f???qwer 11 abacabacaba Output Yes abacaba Yes abacaba Yes abadabacaba Yes abacabadaba No No Note In first example there is exactly one occurrence of a string "abacaba" in the string "abacaba" as a substring. In second example seven question marks can be replaced with any seven lowercase English letters and with "abacaba" in particular. In sixth example there are two occurrences of a string "abacaba" as a substring. Submitted Solution: ``` pat = 'abacaba' def substring_count(string): count = 0 start = 0 # Search through the string till # we reach the end of it while start < len(string): # Check if a substring is present from # 'start' position till the end pos = string.find(pat, start) if pos != -1: # If a substring is present, move 'start' to # the next position from start of the substring start = pos + 1 # Increment the count count += 1 else: # If no further substring is present break # return the value of count return count def process(s, n): i=0 while i != n - 7: temp = s flag = True j = 0 while j != 7: if temp[i + j] != '?' and temp[i + j] != pat[j]: flag = False break else: temp = temp[:i+j] + pat[j] + temp[i+j+1:] j = j + 1 if flag and substring_count(temp) == 1: return temp else: print('No') return i = i + 1 def solve(): n = int(input()) s = input() if substring_count(s) == 1: for i in range(len(s)): if s[i] == '?': s = s[:i] + 'x' + s[i+1:] else: s[i] print('Yes') print(s) elif substring_count(s) > 1: print('No') elif substring_count(s) == 0: process(s, n) def main(): test_case = int(input()) while test_case != 0: solve() test_case = test_case - 1 if __name__ == '__main__': main() ```
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No
output
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Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
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Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` def solve(n, m, s, t): idx = [0] * m j = 0 for i in range(n): if j < m and t[j] == s[i]: idx[j] = i j += 1 res = 0 j = m - 1 for i in range(n - 1, -1, -1): if j >= 0 and t[j] == s[i]: res = max(res, i - idx[j - 1]) j -= 1 return res n, m = map(int, input().split()) s = input() t = input() print(solve(n, m, s, t)) ```
output
1
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Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,238
0
94,476
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` n,m=map(int,input().split()) a,b,q,w,e=input(),input(),[],[],0 for i in range(n): if b[e]==a[i]:q+=[i];e+=1 if e==m:break e-=1 for i in range(n-1,-1,-1): if b[e]==a[i]:w+=[i];e-=1 if e==-1:break w=w[::-1] print(max(w[i+1]-q[i] for i in range(m-1))) ```
output
1
47,238
0
94,477
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,239
0
94,478
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` #!/usr/bin/env python3.9 def findmax(s, t): l_indexies = [] start = 0 for c in t: idx = s.find(c, start) l_indexies.append(idx) start = idx + 1 r_indexies = [] end = len(s) for c in reversed(t): idx = s.rfind(c, 0, end) r_indexies.append(idx) end = idx r_indexies = r_indexies[::-1] diff1 = (r - l for l, r in zip(l_indexies[:-1], l_indexies[1:])) diff2 = (r - l for l, r in zip(l_indexies[:-1], r_indexies[1:])) maxwidth = max(*diff1, *diff2) return maxwidth n, m = list(map(int, input().split(' '))) s = input() t = input() # start = s.find(t[0]) # end = s.rfind(t[-1]) # s = s[start:end+1] print(findmax(s, t)) ```
output
1
47,239
0
94,479
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,240
0
94,480
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` import math from bisect import bisect_right from bisect import bisect_left from collections import defaultdict n,m=map(int,input().split()) s=input() k=input() a=[] b=[] for j in s: a.append(j) for j in k: b.append(j) ind=defaultdict(lambda:[]) for j in range(n): ind[a[j]].append(j) val = [0]*(m) last = -1 j = 0 while (j < m): val[j] = ind[b[j]][bisect_right(ind[b[j]],last)] last=val[j] j+=1 val1=[0]*(m) last=float("inf") j = m-1 while (j >=0): val1[j] = ind[b[j]][bisect_left(ind[b[j]],last)-1] last=val1[j] j+=-1 j=m-1 ans=1 while(j>=1): curr=b[j] ans=max(ans,val1[j]-val[j-1]) ind[curr].pop() j+=-1 print(ans) ```
output
1
47,240
0
94,481
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,241
0
94,482
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` def main(): n, m = map(int, input().split()) s = str(input()) t = str(input()) from collections import deque, defaultdict import bisect X = [[] for i in range(26)] for i, c in enumerate(s): c = ord(c)-ord('a') X[c].append(i) A = [] cur = -1 for i, c in enumerate(t): c = ord(c)-ord('a') j = bisect.bisect_right(X[c], cur) A.append(X[c][j]) cur = X[c][j] #print(A) B = [] cur = n for i in reversed(range(m)): c = t[i] c = ord(c)-ord('a') j = bisect.bisect_left(X[c], cur) B.append(X[c][j-1]) cur = X[c][j-1] B.reverse() #print(B) ans = 0 for i in range(m-1): ans = max(ans, A[i+1]-A[i]) ans = max(ans, B[i+1]-A[i]) ans = max(ans, B[i+1]-B[i]) print(ans) if __name__ == '__main__': main() ```
output
1
47,241
0
94,483
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,242
0
94,484
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` for u in range(1): n, m = map(int, input().split()) s = input() t = input() left = [] right = [] p = 0 for i in range(n): if(s[i] == t[p]): left.append(i) p += 1 if(p == m): break p = m-1 for i in range(n-1, -1, -1): if(s[i] == t[p]): right.append(i) p -= 1 if(p == -1): break right = right[::-1] ans = -1 for i in range(1, m): ans = max(ans, right[i] - left[i-1]) print(ans) ```
output
1
47,242
0
94,485
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,243
0
94,486
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` n,m = map(int,input().split(' ')) s = [w for w in input()] t = [w for w in input()] left = [] j = 0 for i in range(n): if s[i] == t[j]: left.append(i) j = j + 1 if j>=m: break right = [] i = n - 1 j = m - 1 while i>=0: if s[i] == t[j]: right.append(i) j = j - 1 if j<0: break i = i - 1 right.reverse() #print(left) #print(right) if m>2: ans = 0 prev = left[0] for i in range(1,m-1): ans = max(ans,right[i] - prev) prev = left[i] ans = max(ans,right[-1] - left[-2] ) else: ans = right[-1] - left[0] print(ans) ```
output
1
47,243
0
94,487
Provide tags and a correct Python 3 solution for this coding contest problem. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}.
instruction
0
47,244
0
94,488
Tags: binary search, data structures, dp, greedy, two pointers Correct Solution: ``` a, b = map(int, input().split()) s = input() t = input() l1 = len(s) l2 = len(t) p1 = [] pos1 = 0 pos2 = 0 while(pos1 < l1 and pos2 < l2): if(s[pos1] == t[pos2]): p1.append(pos1) pos2 += 1 pos1 += 1 p2 = [] pos1 = l1-1 pos2 = l2-1 while(pos1 >= 0 and pos2 >= 0): if(s[pos1] == t[pos2]): p2.append(pos1) pos2 -= 1 pos1 -= 1 p2.reverse() ans = 0 for i in range(1, l2): ans = max(ans, p2[i]-p1[i-1]) print(ans) ```
output
1
47,244
0
94,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}. Submitted Solution: ``` n,m=map(int,input().split()) s=input() t=input() l=[0]*m r=[0]*m i,j=0,0 while j<m: if s[i]==t[j]: l[j]=i j+=1 i+=1 i=n-1 j=m-1 while j>0: if s[i]==t[j]: r[j]=i j-=1 i-=1 print(max(r[i+1]-l[i] for i in range(m-1))) ```
instruction
0
47,245
0
94,490
Yes
output
1
47,245
0
94,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m. A sequence p_1, p_2, …, p_m, where 1 ≀ p_1 < p_2 < … < p_m ≀ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The width of a sequence is defined as max_{1 ≀ i < m} \left(p_{i + 1} - p_i\right). Please help your classmate to identify the beautiful sequence with the maximum width. Your classmate promised you that for the given strings s and t there is at least one beautiful sequence. Input The first input line contains two integers n and m (2 ≀ m ≀ n ≀ 2 β‹… 10^5) β€” the lengths of the strings s and t. The following line contains a single string s of length n, consisting of lowercase letters of the Latin alphabet. The last line contains a single string t of length m, consisting of lowercase letters of the Latin alphabet. It is guaranteed that there is at least one beautiful sequence for the given strings. Output Output one integer β€” the maximum width of a beautiful sequence. Examples Input 5 3 abbbc abc Output 3 Input 5 2 aaaaa aa Output 4 Input 5 5 abcdf abcdf Output 1 Input 2 2 ab ab Output 1 Note In the first example there are two beautiful sequences of width 3: they are \{1, 2, 5\} and \{1, 4, 5\}. In the second example the beautiful sequence with the maximum width is \{1, 5\}. In the third example there is exactly one beautiful sequence β€” it is \{1, 2, 3, 4, 5\}. In the fourth example there is exactly one beautiful sequence β€” it is \{1, 2\}. Submitted Solution: ``` #!/usr/bin/env python # -*- coding: utf-8 -*- """Codeforces Round #704 (Div. 2) Problem C. Maximum width :author: Kitchen Tong :mail: kctong529@gmail.com Please feel free to contact me if you have any question regarding the implementation below. """ __version__ = '3.0' __date__ = '2021-03-08' import sys def solve(n, m, s, t): ''' All characters of t can be found in the same order in s. Use two lists of size m to denote the position of leftmost and rightmost occurrence of each t character in s. The positions found in each list should be valid on its own, i.e. l[i] < l[j] where i < j, for all elements in the list Therefore, it is still valid when we combine the two lists, provided that the position of the element replaced in the junction does not violate the above rule, i.e. left[k] <= right[k] where k is the element to be replaced ''' left_pos = [-1] * m right_pos = [-1] * m curr = 0 for pos in range(n): if curr == m: break if s[pos] == t[curr]: left_pos[curr] = pos curr += 1 curr = m - 1 for pos in range(n-1, -1, -1): if curr == -1: break if s[pos] == t[curr]: right_pos[curr] = pos curr -= 1 answer = 1 for i in range(m-1): answer = max(answer, right_pos[i+1] - left_pos[i]) return answer def main(argv=None): n, m = map(int, input().split()) s = input() t = input() print(solve(n, m, s, t)) return 0 if __name__ == "__main__": STATUS = main() sys.exit(STATUS) ```
instruction
0
47,246
0
94,492
Yes
output
1
47,246
0
94,493