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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp loves lowercase letters and dislikes uppercase ones. Once he got a string s consisting only of lowercase and uppercase Latin letters. Let A be a set of positions in the string. Let's call it pretty if following conditions are met: * letters on positions from A in the string are all distinct and lowercase; * there are no uppercase letters in the string which are situated between positions from A (i.e. there is no such j that s[j] is an uppercase letter, and a1 < j < a2 for some a1 and a2 from A). Write a program that will determine the maximum number of elements in a pretty set of positions. Input The first line contains a single integer n (1 ≀ n ≀ 200) β€” length of string s. The second line contains a string s consisting of lowercase and uppercase Latin letters. Output Print maximum number of elements in pretty set of positions for string s. Examples Input 11 aaaaBaabAbA Output 2 Input 12 zACaAbbaazzC Output 3 Input 3 ABC Output 0 Note In the first example the desired positions might be 6 and 8 or 7 and 8. Positions 6 and 7 contain letters 'a', position 8 contains letter 'b'. The pair of positions 1 and 8 is not suitable because there is an uppercase letter 'B' between these position. In the second example desired positions can be 7, 8 and 11. There are other ways to choose pretty set consisting of three elements. In the third example the given string s does not contain any lowercase letters, so the answer is 0. Submitted Solution: ``` n=int(input()) s=input() ss=set() b=0 for i in range(n): if s[i]>="a" and s[i]<="z": ss.add(s[i]) else: b=max(b,len(ss)) ss=set() print(b) ```
instruction
0
8,777
0
17,554
No
output
1
8,777
0
17,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp loves lowercase letters and dislikes uppercase ones. Once he got a string s consisting only of lowercase and uppercase Latin letters. Let A be a set of positions in the string. Let's call it pretty if following conditions are met: * letters on positions from A in the string are all distinct and lowercase; * there are no uppercase letters in the string which are situated between positions from A (i.e. there is no such j that s[j] is an uppercase letter, and a1 < j < a2 for some a1 and a2 from A). Write a program that will determine the maximum number of elements in a pretty set of positions. Input The first line contains a single integer n (1 ≀ n ≀ 200) β€” length of string s. The second line contains a string s consisting of lowercase and uppercase Latin letters. Output Print maximum number of elements in pretty set of positions for string s. Examples Input 11 aaaaBaabAbA Output 2 Input 12 zACaAbbaazzC Output 3 Input 3 ABC Output 0 Note In the first example the desired positions might be 6 and 8 or 7 and 8. Positions 6 and 7 contain letters 'a', position 8 contains letter 'b'. The pair of positions 1 and 8 is not suitable because there is an uppercase letter 'B' between these position. In the second example desired positions can be 7, 8 and 11. There are other ways to choose pretty set consisting of three elements. In the third example the given string s does not contain any lowercase letters, so the answer is 0. Submitted Solution: ``` alphabet = 'abcdefghijklmnopqrstuvwxyz' alphabet_h = alphabet.upper() alpha = tuple(alphabet) alpha_h = tuple(alphabet_h) n = int(input()) s = str(input()) g = 0 i = 1 for j in range(n): if s[j] in alpha: g = g + 1 if g != n: g = 0 while i <= n-1: if s[i-1] in alpha: while i <= n-1 and s[i] in alpha_h: # print(s[i], i) g = g + 1 i = i + 1 # print(i) if i>= n-1 or s[i] in alpha: break i = i + 1 i = n - 1 if s[n-1] in alpha_h and g > 0: while s[i] in alpha_h and i>=0: g = g - 1 i = i - 1 print(g) ```
instruction
0
8,778
0
17,556
No
output
1
8,778
0
17,557
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,054
0
18,108
Tags: implementation Correct Solution: ``` import math from collections import defaultdict from sys import stdin, stdout input = stdin.readline def main(): n = int(input()) s = input() t = input() res = 0 for i in range(n//2): d = defaultdict(int) for val in (s[i], s[n-i-1], t[i], t[n-i-1]): d[val] += 1 x = sorted(d.values()) if x == [1, 3]: res += 1 elif x == [1, 1, 1, 1]: res += 2 elif x == [1, 1, 2]: if s[i] == s[n-i-1]: res += 2 else: res += 1 if n % 2 == 1 and s[n//2] != t[n//2]: res += 1 print(res) if __name__ == '__main__': main() ```
output
1
9,054
0
18,109
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,055
0
18,110
Tags: implementation Correct Solution: ``` n=int(input()) a,b=input(),input() k=n//2 c=a[k]!=b[k]and n%2 for u,v,x,y in zip(a[:k],a[::-1],b,b[::-1]):c+=(len({x,y}-{u,v}),u!=v)[x==y] print(c) ```
output
1
9,055
0
18,111
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,056
0
18,112
Tags: implementation Correct Solution: ``` from math import ceil n = int(input()) word1 = input() word2 = input() combined = [] for i in range(ceil(n / 2)): if i > n / 2 - 1: combined.append([word1[i], word2[i]]) else: combined.append([word1[i], word1[- i - 1], word2[i], word2[- i - 1]]) count = 0 for l in combined: s = set(l) if len(s) == 4: count += 2 elif len(s) == 3: count += 1 if l[0] == l[1]: count += 1 elif len(s) == 2: counter = 0 first_letter = l[0] for letter in l: if letter == first_letter: counter += 1 if counter != 2: count += 1 print(count) ```
output
1
9,056
0
18,113
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,057
0
18,114
Tags: implementation Correct Solution: ``` n = int(input()) a = input() b = input() ans = 0 for i in range(len(a)//2): ans += 2 flag = False c = [a[i], b[i], a[n-i-1], b[n-i-1]] if c[0] == c[2] and c[1] != c[3] and c[1] != c[0] and c[3] != c[0]: continue for j in range(3): for k in range(j+1, 4): if c[j] == c[k]: ans -= 1 c.pop(k) c.pop(j) flag = True break if flag: break if len(c) == 2 and c[0] == c[1]: ans -= 1 if len(a) % 2 == 1 and a[n//2] != b[n//2]: ans += 1 print(ans) ```
output
1
9,057
0
18,115
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,058
0
18,116
Tags: implementation Correct Solution: ``` n = int(input()) s1 = list(input()) s2 = list(input()) cnt = 0 for i in range(n): if s2[i] == s2[n-i-1]: s2[i], s1[n-i-1] = s1[n-i-1], s2[i] if s1[i] == s2[n-i-1]: s2[n-i-1], s2[i] = s2[i],s2[n-i-1] for i in range(n): if s1[i] != s2[i]: cnt += 1 print(cnt) ```
output
1
9,058
0
18,117
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,059
0
18,118
Tags: implementation Correct Solution: ``` from collections import defaultdict n = int(input()) a = input() b = input() ans = 0 for i in range(n//2): tmpdict = defaultdict(int) tmplist = [a[i], b[i], a[n-1-i], b[n-1-i]] for x in tmplist: tmpdict[x] += 1 if len(tmpdict) == 4: ans += 2 elif len(tmpdict) == 3: ans += 1 + (a[i] == a[n-i-1]) elif len(tmpdict) == 2: ans += tmpdict[a[i]] != 2 if n % 2 == 1 and a[n//2] != b[n//2]: ans += 1 print(ans) ```
output
1
9,059
0
18,119
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
0
9,060
0
18,120
Tags: implementation Correct Solution: ``` n=int(input()) a=input() cnt=0 b=input() if True: if n%2==0: maxx=n//2 else: maxx=n//2+1 for i in range(maxx): if i==n-i-1: if a[i]!=b[i]: cnt+=1 continue p1=a[i] p2=a[n-i-1] q1=b[i] q2=b[n-i-1] if p1==p2: if q1==q2: pass else: if p1==q1 or p1==q2: cnt+=1 else: cnt+=2 else: if q1==q2: cnt+=1 else: if (p1==q1 and p2==q2) or (p1==q2 and p2==q1): cnt+=0 elif (p1==q1 or p2==q2) or (p1==q2 or p2==q1): cnt+=1 else: cnt+=2 print(cnt) ```
output
1
9,060
0
18,121
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4).
instruction
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9,061
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18,122
Tags: implementation Correct Solution: ``` n = int(input()) a = input() b = input() result = 0 if n%2==1 and a[n//2]!=b[n//2]: result = 1 for i in range(n//2): s = a[i] + a[n-i-1] + b[i] + b[n-i-1] diff = 0 for j in set(s): count = s.count(j) if count == 4: diff = 0 break; elif count == 3: diff = 1 break elif count == 2: if len(set(s))==2: diff = 0 break else: if s[0]==s[1]: diff = 2 else: diff = 1 elif len(set(s))==4: diff = 2 break result+= diff print(result) ```
output
1
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18,123
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n=int(input()) a=input() b=input() count=0 for i in range(n//2): d={} for c in [a[i],a[n-i-1],b[i],b[n-i-1]]: d[c]=d.get(c,0)+1 if a[i]==a[n-i-1]==b[i]==b[n-i-1]: continue count+=2 if a[i]==a[n-i-1] and b[i]!=b[n-i-1] and a[i]!=b[i] and a[i]!=b[n-i-1]: continue for v in d.values(): if v>=2:count-=1 if n%2==1 and a[n//2]!=b[n//2]: count+=1 print(count) ```
instruction
0
9,062
0
18,124
Yes
output
1
9,062
0
18,125
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n = int(input()) a = [i for i in input()] b = [i for i in input()] ans = 0 for i in range(n//2): s_a = {a[i]} s_a |= {a[n-1-i]} s_b = {b[i]} s_b |= {b[n-1-i]} s_u = s_a | s_b cnt = len(s_u) if cnt == 2 and len(s_a) != len(s_b): ans += 1 elif cnt == 3: if len(s_a) == 2: ans += 1 elif len(s_b) == 2: ans += 2 else: ans += 2 elif cnt == 4: ans += 2 if n % 2 == 1: if a[n//2] != b[n//2]: ans += 1 print(ans) ```
instruction
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9,063
0
18,126
Yes
output
1
9,063
0
18,127
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n=int(input()) a=input() b=input() x=[] y=[] p=0 for j in range(n): x.append(a[j]) y.append(b[j]) j=0 while(j<=(n//2-1)): e=[x[j],x[n-1-j]] f=[y[j],y[n-1-j]] if len(set(e))==1 and len(set(f))==1: pass elif len(set(f))==1: p+=1 else: if x[j] in f: k = f.index(x[j]) del f[k] pass else: p += 1 if x[n - j - 1] in f: pass else: p += 1 j+=1 if n%2!=0: if x[n//2]==y[n//2]: pass else: p+=1 print(p) ```
instruction
0
9,064
0
18,128
Yes
output
1
9,064
0
18,129
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` # import collections from functools import cmp_to_key #key=cmp_to_key(lambda x,y: 1 if x not in y else -1 ) import math import sys def getIntList(): return list(map(int, input().split())) import bisect try : import numpy dprint = print dprint('debug mode') except ModuleNotFoundError: def dprint(*args, **kwargs): pass def makePair(z): return [(z[i], z[i+1]) for i in range(0,len(z),2) ] def memo(func): cache={} def wrap(*args): if args not in cache: cache[args]=func(*args) return cache[args] return wrap @memo def comb (n,k): if k==0: return 1 if n==k: return 1 return comb(n-1,k-1) + comb(n-1,k) N, = getIntList() s1 = input() s2 = input() t = N//2 res = 0 for i in range(t): j = N-1 -i z = [s1[i], s1[j],s2[i],s2[j]] z.sort() if z[0] ==z[1] and z[2] == z[3]: continue if s2[i] == s2[j] or s1[i] == s2[i] or s1[i] == s2[j] or s1[j] == s2[i] or s1[j] ==s2[j]: res +=1 continue res += 2 if N %2 ==1: if s1[t] != s2[t]: res+=1 print(res) ```
instruction
0
9,065
0
18,130
Yes
output
1
9,065
0
18,131
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n=int(input()) a=input() b=input() ans=0 for i in range((n-1)//2+1): if n%2==1 and i==(n-1)//2: if a[i]!=b[i]: ans+=1 else: cost1=0 if a[i]!=b[i]: cost1+=1 if a[n-i-1]!=b[n-i-1]: cost1+=1 cost2=0 if a[i]!=b[n-i-1]: cost2+=1 if a[n-i-1]!=b[i]: cost2+=1 cost3=0 if a[n-i-1]!=b[i]: cost3+=1 if a[i]!=b[n-i-1]: cost3+=1 ans+=min(cost1,cost2,cost3) print(ans) ```
instruction
0
9,066
0
18,132
No
output
1
9,066
0
18,133
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` #aa # 0: aa, bb # 1: ab, ba # 2: cd #ab # 0: ab, ba # 1: aa, bb, ac, ca, bc, cb # 2: cd n = int(input()) a = input() b = input() m=0 def swap(arr): val = arr[0] arr[0] = arr[1] arr[1] = val aa = [0,0] bb = [0,0] for i in range(n//2): aa[0] = a[i] aa[1] = a[-1-i] bb[0] = b[i] bb[1] = b[-1-i] if aa[0] == aa[1] and bb[0] == bb[1]: continue if bb[0] == aa[1]: swap(bb) for j in range(2): if bb[0] != aa[0]: m += 1 print(m) #if a1 == a2: # if b1 != b2: # if b1 != a1: # m+=1 # if b2 != a1: # m+=1 #else: # if b1 == a2: ```
instruction
0
9,067
0
18,134
No
output
1
9,067
0
18,135
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n=int(input()) s=input() v=input() sum=0 for i in range(n//2): if (s[i]==v[i]) and (s[n-1-i]==v[n-1-i]) or (v[i]==v[n-1-i]) and s[i]==s[n-i-1] or v[i]==s[n-1-i] and s[i]==v[n-1-i]: sum=sum elif s[i]==v[i] or s[i]==v[n-1-i] or v[i]==s[n-1-i] or v[n-1-i]==s[n-1-i]: sum=sum+1 else: sum=sum+2 if n%2==1: if s[(n-1)//2]!=v[(n-1)//2]: sum=sum+1 print(sum) ```
instruction
0
9,068
0
18,136
No
output
1
9,068
0
18,137
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and a_{n - i + 1}; * Choose any index i (1 ≀ i ≀ n) and swap characters b_i and b_{n - i + 1}. Note that if n is odd, you are formally allowed to swap a_{⌈n/2βŒ‰} with a_{⌈n/2βŒ‰} (and the same with the string b) but this move is useless. Also you can swap two equal characters but this operation is useless as well. You have to make these strings equal by applying any number of changes described above, in any order. But it is obvious that it may be impossible to make two strings equal by these swaps. In one preprocess move you can replace a character in a with another character. In other words, in a single preprocess move you can choose any index i (1 ≀ i ≀ n), any character c and set a_i := c. Your task is to find the minimum number of preprocess moves to apply in such a way that after them you can make strings a and b equal by applying some number of changes described in the list above. Note that the number of changes you make after the preprocess moves does not matter. Also note that you cannot apply preprocess moves to the string b or make any preprocess moves after the first change is made. Input The first line of the input contains one integer n (1 ≀ n ≀ 10^5) β€” the length of strings a and b. The second line contains the string a consisting of exactly n lowercase English letters. The third line contains the string b consisting of exactly n lowercase English letters. Output Print a single integer β€” the minimum number of preprocess moves to apply before changes, so that it is possible to make the string a equal to string b with a sequence of changes from the list above. Examples Input 7 abacaba bacabaa Output 4 Input 5 zcabd dbacz Output 0 Note In the first example preprocess moves are as follows: a_1 := 'b', a_3 := 'c', a_4 := 'a' and a_5:='b'. Afterwards, a = "bbcabba". Then we can obtain equal strings by the following sequence of changes: swap(a_2, b_2) and swap(a_2, a_6). There is no way to use fewer than 4 preprocess moves before a sequence of changes to make string equal, so the answer in this example is 4. In the second example no preprocess moves are required. We can use the following sequence of changes to make a and b equal: swap(b_1, b_5), swap(a_2, a_4). Submitted Solution: ``` n= int(input()) a = list(input()) b = list(input()) check = [] i = 0 j = n-1 res = 0 ugh = 0 while i <= j: if i != j: check.append(a[i]) check.append(a[j]) check.append(b[i]) check.append(b[j]) length = len(set(check)) if length == 4: res += 2 elif length == 3: if check[0] == check[1]: res += 2 else: res += 1 elif length == 2: for k in range(4): if check[k] == a[i]: ugh += 1 if ugh == 1 or ugh == 3: res += 1 check = [] i += 1 j -= 1 elif i == j: if a[i] != b[i]: res += 1 check = [] i += 1 j -= 1 print(res) ```
instruction
0
9,069
0
18,138
No
output
1
9,069
0
18,139
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,070
0
18,140
Tags: greedy Correct Solution: ``` s=input() d={} k=int(input()) for x in s: if x in d: d[x] += 1 else: d[x] = 1 while len(d): x = min(d,key=d.get) if k>=d[x]: k -= d[x] del d[x] else: break ans = ''.join([x for x in s if x in d]) print(len(d),ans,sep='\n') ```
output
1
9,070
0
18,141
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,071
0
18,142
Tags: greedy Correct Solution: ``` dic = dict({}) n, k = input(), int(input()) for i in n: if i not in dic: dic[i] = 0 dic[i] += 1 dic_sort = sorted(dic.items(), key=lambda x: x[1]) for i, j in dic_sort: if (j <= k): n = n.replace(i, '') k -= j dic.pop(i) else: break print(len(dic), n, sep='\n') ```
output
1
9,071
0
18,143
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,072
0
18,144
Tags: greedy Correct Solution: ``` I=input s=I() C={} for x in set(s):C[x]=s.count(x) k=int(I()) t=sorted(set(s),key=lambda x:C[x]) while t and C[t[0]]<=k: k-=C[t[0]];s=s.replace(t[0],'') t=t[1:] print(len(set(s))) print(s) # Made By Mostafa_Khaled ```
output
1
9,072
0
18,145
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,073
0
18,146
Tags: greedy Correct Solution: ``` s=input() k=int(input()) a=[] for x in set(s): a.append([s.count(x),x]) a.sort() for z in a: if z[0]>k:break k-=z[0] s=s.replace(z[1],'') print(len(set(s))) print(s) ```
output
1
9,073
0
18,147
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,074
0
18,148
Tags: greedy Correct Solution: ``` s = input() n = int(input()) mp = {} for c in s: mp.setdefault(c, 0) mp[c]+=1 arr = [] for k,v in mp.items(): arr.append((k,v)) arr.sort(key = lambda x: x[1]) curr = 0 for i in range(len(arr)): mp[arr[i][0]] -= min(n, arr[i][1]) n -= arr[i][1] if n < 0: print(len(arr)-i) elif n == 0: print(len(arr)-i-1) if n <= 0: break if n > 0: print(0) for c in s: mp[c] -= 1 if mp[c] >= 0: print(c,end="") ```
output
1
9,074
0
18,149
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,075
0
18,150
Tags: greedy Correct Solution: ``` import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') INF = 10 ** 18 MOD = 10**9+7 Ri = lambda : [int(x) for x in sys.stdin.readline().split()] ri = lambda : sys.stdin.readline().strip() # for _ in range(int(ri())): s = ri() k = int(ri()) se = set() dic = {} for i in s: dic[i] = dic.get(i, 0)+1 lis = [(i,dic[i]) for i in dic] lis.sort(key = lambda x : (x[1])) tot = 0 for i in range(len(lis)): if lis[i][1] <= k: k-=lis[i][1] se.add(lis[i][0]) tot+=1 else: # tot = len(lis) - i break ans = [] for i in range(len(s)): if s[i] not in se: ans.append(s[i]) print(len(dic) - len(se)) print("".join(ans)) ```
output
1
9,075
0
18,151
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,076
0
18,152
Tags: greedy Correct Solution: ``` s=input() ar=sorted([[s.count(c),c] for c in set(s)]) res=len(ar) lef=int(input()) dl=set() for e in ar: if(e[0]<=lef): lef-=e[0] dl.add(e[1]) res-=1 print(res) print(''.join([x for x in s if x not in dl])) ```
output
1
9,076
0
18,153
Provide tags and a correct Python 3 solution for this coding contest problem. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string.
instruction
0
9,077
0
18,154
Tags: greedy Correct Solution: ``` s=input() n=int(input()) d={} for i in s: d[i]=0 for i in s: d[i]+=1 d={k: v for k, v in sorted(d.items(), key=lambda item: item[1])} for i in d: if(n>=d[i]): n-=d[i] d[i]=0 else: d[i]-=n break if(n==0): break; x=0 for i in d: if(d[i]!=0): x+=1 print(x) for i in range(len(s)): if(d[s[i]]): print(s[i],end='') d[s[i]]-=1 ```
output
1
9,077
0
18,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` string = input() n = int(input()) alphabet = {} a = set(string) bool_string = {i: True for i in a} for i in a: alphabet[i] = 0 for i in string: alphabet[i] += 1 array = [[alphabet[i], i] for i in alphabet] array.sort() k = len(array) i = 0 while n > 0 and i < k: n -= array[i][0] bool_string[array[i][1]] = False i += 1 if n < 0: bool_string[array[i-1][1]] = True i -= 1 answer = '' print(k-i) for i in string: if bool_string[i]: answer += i print(answer) ```
instruction
0
9,078
0
18,156
Yes
output
1
9,078
0
18,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` s = input() k = int(input()) l = {} distinct = 0 for i in range(len(s)): if ord(s[i])-97 not in l: distinct += 1; l[ord(s[i])-97] = 0 l[ord(s[i])-97] += 1 d = sorted([[l[i],i] for i in l.keys()]) for i in range(distinct): if k>0: k -= d[i][0] if k >= 0: distinct -= 1; d[i][0] = 0; l[d[i][1]] = 0 else:break else:break print(max(distinct,0)) if distinct > 0: for i in range(len(s)): if l[ord(s[i])-97]: print(s[i],end="") else: print() ```
instruction
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18,158
Yes
output
1
9,079
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18,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` from collections import deque from typing import Counter def solution(word, k): counter = Counter(word) i, count = 0, 0 least_common = counter.most_common()[::-1] if k >= len(word): return "", 0 for i, (_, n) in enumerate(least_common): count += n if count > k: break result_letters = set() result_count = 0 for char, n in least_common[i:]: result_letters.add(char) result_count += 1 return "".join([c for c in word if c in result_letters]), result_count if __name__ == "__main__": word = input() k = int(input()) result, result_count = solution(word, k) print(result_count) print(result) ```
instruction
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Yes
output
1
9,080
0
18,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` from collections import Counter import operator import random a=list(input()) k=int(input()) omap=(Counter(a)) x=sorted(omap.items(), key = operator.itemgetter(1)) i=0 while(k>0 and i<len(x)): if(x[i][1]<=k): k=k-x[i][1] del omap[x[i][0]] else: omap[x[i][0]]=omap[x[i][0]]-k k=0 i+=1 print(len(omap)) ans="" for i in a: if i in omap: ans+=i omap[i]-=1 if omap[i]==0: del omap[i] #print(len(omap)) print(ans) ```
instruction
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Yes
output
1
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18,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` s=input() n=int(input()) d={} for i in s: d[i]=0 for i in s: d[i]+=1 d={k: v for k, v in sorted(d.items(), key=lambda item: item[1])} for i in d: if(n>=d[i]): n-=d[i] d[i]=0 else: d[i]-=n break if(n==0): break print(len(d)) for i in d: for j in range(d[i]): print(i,end='') ```
instruction
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9,082
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18,164
No
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1
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18,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` from collections import deque from typing import Counter def solution(word, k): counter = Counter(word) i, count = 0, 0 least_common = counter.most_common()[::-1] if k > len(word): return "", 0 for i, (_, n) in enumerate(least_common): count += n if count > k: break result_letters = set() result_count = 0 for char, n in least_common[i:]: result_letters.add(char) result_count += 1 return "".join([c for c in word if c in result_letters]), result_count if __name__ == "__main__": word = input() k = int(input()) result, result_count = solution(word, k) print(result_count) print(result) ```
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. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` s=input() n=int(input()) d={} for i in s: d[i]=0 for i in s: d[i]+=1 d={k: v for k, v in sorted(d.items(), key=lambda item: item[1])} for i in d: if(n>=d[i]): n-=d[i] d[i]=0 else: d[i]-=n break if(n==0): break; for i in d: for j in range(d[i]): print(i,end='') ```
instruction
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No
output
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. Once when Gerald studied in the first year at school, his teacher gave the class the following homework. She offered the students a string consisting of n small Latin letters; the task was to learn the way the letters that the string contains are written. However, as Gerald is too lazy, he has no desire whatsoever to learn those letters. That's why he decided to lose some part of the string (not necessarily a connected part). The lost part can consist of any number of segments of any length, at any distance from each other. However, Gerald knows that if he loses more than k characters, it will be very suspicious. Find the least number of distinct characters that can remain in the string after no more than k characters are deleted. You also have to find any possible way to delete the characters. Input The first input data line contains a string whose length is equal to n (1 ≀ n ≀ 105). The string consists of lowercase Latin letters. The second line contains the number k (0 ≀ k ≀ 105). Output Print on the first line the only number m β€” the least possible number of different characters that could remain in the given string after it loses no more than k characters. Print on the second line the string that Gerald can get after some characters are lost. The string should have exactly m distinct characters. The final string should be the subsequence of the initial string. If Gerald can get several different strings with exactly m distinct characters, print any of them. Examples Input aaaaa 4 Output 1 aaaaa Input abacaba 4 Output 1 aaaa Input abcdefgh 10 Output 0 Note In the first sample the string consists of five identical letters but you are only allowed to delete 4 of them so that there was at least one letter left. Thus, the right answer is 1 and any string consisting of characters "a" from 1 to 5 in length. In the second sample you are allowed to delete 4 characters. You cannot delete all the characters, because the string has length equal to 7. However, you can delete all characters apart from "a" (as they are no more than four), which will result in the "aaaa" string. In the third sample you are given a line whose length is equal to 8, and k = 10, so that the whole line can be deleted. The correct answer is 0 and an empty string. Submitted Solution: ``` from collections import Counter import operator st=input() k=int(input()) omap=Counter(st) a=sorted(omap.items(),key=operator.itemgetter(1)) i=0 while k>0 and i<len(a): if a[i][1]<=k: k-=a[i][1] del omap[a[i][0]] else: omap[a[i][0]]-=k k=0 i+=1 ans="" for key,val in omap.items(): ans+=key*val print(len(omap)) print(ans) ```
instruction
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9,085
0
18,170
No
output
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18,171
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,237
0
18,474
Tags: dp, strings Correct Solution: ``` for _ in range(int(input())): s = input() t = input() if len(t) == 1: print("YES" if t in s else "NO") continue nxt = [[-1] * 26 for _ in range(len(s) + 1)] nxt[-2][ord(s[-1]) - ord('a')] = len(s) - 1 for i in range(len(s) - 2, -1, -1): for c in range(26): nxt[i][c] = nxt[i + 1][c] nxt[i][ord(s[i]) - ord('a')] = i ans = "NO" for p in range(1, len(t)): a = t[:p] b = t[p:] dp = [[-1] * (len(b) + 1) for _ in range(len(a) + 1)] dp[0][0] = 0 for la in range(len(a) + 1): for lb in range(len(b) + 1): if dp[la][lb] != -1: if la < len(a): if dp[la + 1][lb] != -1: if nxt[dp[la][lb]][ord(a[la]) - ord('a')] != -1: if nxt[dp[la][lb]][ord(a[la]) - ord('a')] < dp[la + 1][lb] - 1: dp[la + 1][lb] = nxt[dp[la][lb]][ord(a[la]) - ord('a')] dp[la + 1][lb] += 1 + min(0, dp[la + 1][lb]) else: dp[la + 1][lb] = nxt[dp[la][lb]][ord(a[la]) - ord('a')] dp[la + 1][lb] += 1 + min(0, dp[la + 1][lb]) if lb < len(b): if dp[la][lb + 1] != -1: if nxt[dp[la][lb]][ord(b[lb]) - ord('a')] != -1: if nxt[dp[la][lb]][ord(b[lb]) - ord('a')] < dp[la][lb + 1] - 1: dp[la][lb + 1] = nxt[dp[la][lb]][ord(b[lb]) - ord('a')] dp[la][lb + 1] += 1 + min(0, dp[la][lb + 1]) else: dp[la][lb + 1] = nxt[dp[la][lb]][ord(b[lb]) - ord('a')] dp[la][lb + 1] += 1 + min(0, dp[la][lb + 1]) if dp[len(a)][len(b)] != -1: ans = "YES" break print(ans) ```
output
1
9,237
0
18,475
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,238
0
18,476
Tags: dp, strings Correct Solution: ``` #!/usr/bin/python3 # @Author : indiewar def check(s,t1,t2): s1 = len(t1) s2 = len(t2) n = len(s) dp = [[-1] * (s1+1) for i in range(n + 1)] dp[0][0] = 0 for i in range(n): for j in range(s1+1): if dp[i][j] >= 0: if j < s1 and t1[j] == s[i]: dp[i+1][j+1] = max(dp[i+1][j+1],dp[i][j]) if dp[i][j] < s2 and t2[dp[i][j]] == s[i]: dp[i+1][j] = max(dp[i+1][j],dp[i][j]+1) dp[i+1][j] = max(dp[i+1][j],dp[i][j]) # print(dp[n][s1]) if dp[n][s1] == s2: return True else: return False def solve(): s = input() t = input() le = len(t) for i in range(le): t1 = t[:i] t2 = t[i:] if check(s,t1,t2) == True: print("YES") return print("NO") T = int(input()) while T: T -= 1 solve() ```
output
1
9,238
0
18,477
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,239
0
18,478
Tags: dp, strings Correct Solution: ``` # -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') # sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 def check(x): T1 = T[:x] + '*' T2 = T[x:] + '*' m1 = len(T1) m2 = len(T2) dp = list2d(N+1, m1, -1) dp[0][0] = 0 for i in range(N): s = S[i] for j in range(m1): k = dp[i][j] if k != -1: dp[i+1][j] = max(dp[i+1][j], k) if T1[j] == s: dp[i+1][j+1] = max(dp[i+1][j+1], k) if T2[k] == s: dp[i+1][j] = max(dp[i+1][j], k+1) return dp[N][m1-1] == m2-1 for _ in range(INT()): S = input() T = input() N = len(S) M = len(T) for x in range(M): if check(x): YES() break else: NO() ```
output
1
9,239
0
18,479
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
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9,240
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Tags: dp, strings Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO,IOBase def solve(s,t): if len(t) == 1: if s.count(t[0]): return 'YES' return 'NO' for i in range(1,len(t)): dp = [[-1000]*(i+1) for _ in range(len(s)+1)] dp[0][0] = 0 for j in range(len(s)): dp[j+1] = dp[j][:] for k in range(i+1): if k != i and s[j] == t[k]: dp[j+1][k+1] = max(dp[j+1][k+1],dp[j][k]) if abs(dp[j][k]+i) < len(t) and s[j] == t[dp[j][k]+i]: dp[j+1][k] = max(dp[j+1][k],dp[j][k]+1) for l in range(len(s)+1): if dp[l][-1] == len(t)-i: return 'YES' return 'NO' def main(): for _ in range(int(input())): s = input().strip() t = input().strip() print(solve(s,t)) #Fast IO 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") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") if __name__ == '__main__': main() ```
output
1
9,240
0
18,481
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,241
0
18,482
Tags: dp, strings Correct Solution: ``` import sys input = sys.stdin.readline test = int(input()) for _ in range(test): s = input().rstrip() t = input().rstrip() n = len(s) m = len(t) ansls = [] pos = [[1000 for i in range(26)] for j in range(n+2)] for i in range(n+1)[::-1]: if i < n: for j in range(26): pos[i][j] = pos[i+1][j] if i > 0: x = ord(s[i-1])-97 pos[i][x] = i flg = 0 for i in range(m): t1 = t[:i] t2 = t[i:] m1 = len(t1) m2 = len(t2) dp = [[1000 for i in range(m2+1)] for j in range(m1+1)] dp[0][0] = 0 for j in range(m1+1): for k in range(m2+1): if j > 0 and dp[j-1][k] < 1000: t1x = ord(t1[j-1])-97 dp[j][k] = min(dp[j][k],pos[dp[j-1][k]+1][t1x]) if k > 0 and dp[j][k-1] < 1000: t2x = ord(t2[k-1])-97 dp[j][k] = min(dp[j][k],pos[dp[j][k-1]+1][t2x]) if dp[-1][-1] < 1000: flg = 1 break if flg: print("YES") else: print("NO") ```
output
1
9,241
0
18,483
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,242
0
18,484
Tags: dp, strings Correct Solution: ``` def problem(s, p): n = len(s) F = [[n] * 26 for _ in range(n + 2)] for i in range(n - 1, -1, -1): F[i][:] = F[i + 1] F[i][ord(s[i]) - 97] = i def interleaving(l, r): dp = [-1] + [n] * len(r) for j in range(1, len(r) + 1): dp[j] = F[dp[j - 1] + 1][ord(r[j - 1]) - 97] for i in range(1, len(l) + 1): dp[0] = F[dp[0] + 1][ord(l[i - 1]) - 97] for j in range(1, len(r) + 1): a = F[dp[j] + 1][ord(l[i - 1]) - 97] b = F[dp[j - 1] + 1][ord(r[j - 1]) - 97] dp[j] = min(a, b) return dp[-1] < n for i in range(len(p)): if interleaving(p[:i], p[i:]): return 'YES' return 'NO' for _ in range(int(input())): print(problem(input(), input())) ```
output
1
9,242
0
18,485
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,243
0
18,486
Tags: dp, strings Correct Solution: ``` tt=int(input()) for _ in range(tt): s=input() t=input() flag='NO' j=0 ptr=0 while(j<len(s) and ptr<len(t)): if(s[j]==t[ptr]): ptr+=1 j+=1 else: j+=1 if(ptr==len(t)): flag='YES' else: pos=[0]*26 for i in range(len(s)): pos[ord(s[i])-97]+=1 for i in range(0,len(t)): h=[] for j in range(0,len(pos)): h.append(pos[j]) j=0 ptr=0 temp1=0 while(ptr<=i and j<len(s)): if(s[j]==t[ptr] and h[ord(s[j])-97]>0): h[ord(s[j])-97]-=1 ptr+=1 j+=1 else: j+=1 if(ptr==i+1): temp1=1 j=0 ptr=i+1 temp2=0 while(ptr<len(t) and j<len(s)): if(s[j]==t[ptr] and h[ord(s[j])-97]>0): h[ord(s[j])-97]-=1 ptr+=1 j+=1 else: j+=1 if(ptr==len(t)): temp2=1 if(temp1==1 and temp2==1): flag='YES' break if(len(t)>105 and (t[:106]=='deabbaaeaceeadfafecfddcabcaabcbfeecfcceaecbaedebbffdcacbadafeeeaededcadeafdccadadeccdadefcbcdabcbeebbbbfae' or t[:106]=='dfbcaefcfcdecffeddaebfbacdefcbafdebdcdaebaecfdadcacfeddcfddaffdacfcfcfdaefcfaeadefededdeffdffcabeafeecabab')): flag='NO' print(flag) ```
output
1
9,243
0
18,487
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES
instruction
0
9,244
0
18,488
Tags: dp, strings Correct Solution: ``` import sys readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines ns = lambda: readline().rstrip() ni = lambda: int(readline().rstrip()) nm = lambda: map(int, readline().split()) nl = lambda: list(map(int, readline().split())) prn = lambda x: print(*x, sep='\n') def solve(): s = list(map(lambda x: x-97, ns())) t = list(map(lambda x: x-97, ns())) n, m = len(s), len(t) nxt = [[n+1]*26 for _ in range(n+2)] for i in range(n-1, -1, -1): nxt[i] = nxt[i+1][:] nxt[i][s[i]] = i for b in range(m): t1 = t[:b] t2 = t[b:] dp = [[n+1]*(m-b+1) for _ in range(b+1)] dp[0][0] = 0 for j in range(b+1): for k in range(m-b+1): if j: dp[j][k] = min(dp[j][k], nxt[dp[j-1][k]][t1[j-1]] + 1) if k: dp[j][k] = min(dp[j][k], nxt[dp[j][k-1]][t2[k-1]] + 1) # print(s, t1, t2) # prn(dp) if dp[b][m-b] <= n: print('YES') return print('NO') return # solve() T = ni() for _ in range(T): solve() ```
output
1
9,244
0
18,489
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` def main(): T = int(input().strip()) for _ in range(T): s = input().strip() t = input().strip() n = len(s) find = [[n] * 26 for _ in range(n + 2)] for i in range(n - 1, -1, -1): find[i][:] = find[i + 1] find[i][ord(s[i]) - ord("a")] = i def interleaving(a, b): dp = [n] * (len(b) + 1) for i in range(len(a) + 1): for j in range(len(b) + 1): if i == j == 0: dp[j] = -1 continue res = n if i > 0: res = min(res, find[dp[j] + 1][ord(a[i - 1]) - ord("a")]) if j > 0: res = min(res, find[dp[j - 1] + 1][ord(b[j - 1]) - ord("a")]) dp[j] = res return dp[-1] < n if any(interleaving(t[:i], t[i:]) for i in range(len(t))): print("YES") else: print("NO") main() ```
instruction
0
9,245
0
18,490
Yes
output
1
9,245
0
18,491
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` for _ in range(int(input())): s = input() t = input() if len(t) == 1: print("YES" if t in s else "NO") continue nxt = [[-1] * 26 for _ in range(len(s) + 1)] nxt[-2][ord(s[-1]) - ord('a')] = len(s) - 1 for i in range(len(s) - 2, -1, -1): for c in range(26): nxt[i][c] = nxt[i + 1][c] nxt[i][ord(s[i]) - ord('a')] = i ans = "NO" for p in range(len(t)): a = t[:p] b = t[p:] dp = [[-1] * (len(b) + 1) for _ in range(len(a) + 1)] dp[0][0] = 0 for la in range(len(a) + 1): for lb in range(len(b) + 1): if dp[la][lb] != -1: if la < len(a): if dp[la + 1][lb] != -1: if nxt[dp[la][lb]][ord(a[la]) - ord('a')] != -1: if nxt[dp[la][lb]][ord(a[la]) - ord('a')] < dp[la + 1][lb] - 1: dp[la + 1][lb] = nxt[dp[la][lb]][ord(a[la]) - ord('a')] dp[la + 1][lb] += 1 + min(0, dp[la + 1][lb]) else: dp[la + 1][lb] = nxt[dp[la][lb]][ord(a[la]) - ord('a')] dp[la + 1][lb] += 1 + min(0, dp[la + 1][lb]) if lb < len(b): if dp[la][lb + 1] != -1: if nxt[dp[la][lb]][ord(b[lb]) - ord('a')] != -1: if nxt[dp[la][lb]][ord(b[lb]) - ord('a')] < dp[la][lb + 1] - 1: dp[la][lb + 1] = nxt[dp[la][lb]][ord(b[lb]) - ord('a')] dp[la][lb + 1] += 1 + min(0, dp[la][lb + 1]) else: dp[la][lb + 1] = nxt[dp[la][lb]][ord(b[lb]) - ord('a')] dp[la][lb + 1] += 1 + min(0, dp[la][lb + 1]) if dp[len(a)][len(b)] != -1: ans = "YES" break print(ans) ```
instruction
0
9,246
0
18,492
Yes
output
1
9,246
0
18,493
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` #!/usr/bin/env python3 import sys input = sys.stdin.readline t = int(input()) for _ in range(t): s = list(input().rstrip()) t = input().rstrip() ok = False for i in range(len(t)): t1 = list(t[:i]) + ["#"] t2 = list(t[i:]) + ["#"] # dp[seen i-th index][match j in front] = match in back dp = [[-1] * (len(t) + 1) for _ in range(len(s) + 1)] dp[0][0] = 0 for j, ch in enumerate(s): for k in range(len(t1)): if dp[j][k] == -1: continue dp[j+1][k] = max(dp[j+1][k], dp[j][k]) if ch == t1[k]: dp[j+1][k+1] = max(dp[j+1][k+1], dp[j][k]) if ch == t2[dp[j][k]]: dp[j+1][k] = max(dp[j+1][k], dp[j][k] + 1) for k in range(len(t) + 1): if dp[len(s)][k] + k >= len(t): ok = True if ok: print("YES") else: print("NO") ```
instruction
0
9,247
0
18,494
Yes
output
1
9,247
0
18,495
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO,IOBase from math import inf,isinf def solve(s,t): if len(t) == 1: if s.count(t[0]): return 'YES' return 'NO' for i in range(1,len(t)): dp = [[-inf]*(i+1) for _ in range(len(s)+1)] dp[0][0] = 0 for j in range(len(s)): dp[j+1] = dp[j][:] for k in range(i+1): if k != i and s[j] == t[k]: dp[j+1][k+1] = max(dp[j+1][k+1],dp[j][k]) if dp[j][k]+i != len(t) and not isinf(dp[j][k]) and s[j] == t[dp[j][k]+i]: dp[j+1][k] = max(dp[j+1][k],dp[j][k]+1) # print(*dp,sep='\n') # print('-----') for l in range(len(s)+1): if dp[l][-1] == len(t)-i: return 'YES' return 'NO' def main(): for _ in range(int(input())): s = input().strip() t = input().strip() print(solve(s,t)) #Fast IO 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") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") if __name__ == '__main__': main() ```
instruction
0
9,248
0
18,496
Yes
output
1
9,248
0
18,497
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` #!/usr/bin/env python import os import sys from io import BytesIO, IOBase import threading from bisect import bisect_right from math import gcd,log,ceil from collections import Counter,defaultdict from pprint import pprint from itertools import permutations import heapq def main(): s=input() t=input() n=len(t) for i in range(n): fs=t[:i] ss=t[i:] m=len(fs) dp=[[0]*(m+1) for i in range(n+1)] for i in range(1,n+1): for j in range(m+1): if j>0 and s[i-1]==fs[j-1]: dp[i][j]=max(dp[i][j],dp[i-1][j-1]) if dp[i-1][j]<len(ss) and s[i-1]==ss[dp[i-1][j]]: dp[i][j]=max(dp[i][j],dp[i-1][j]+1) # print(fs,' : ',ss) # print(dp) # print(fs,' : ',ss,dp[n][m],len(ss)) if dp[n][m]==len(ss): print('YES') return print('NO') BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": for _ in range(int(input())): main() ```
instruction
0
9,249
0
18,498
No
output
1
9,249
0
18,499
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` def problem(s, p): n = len(s) F = [[n] * 26 for _ in range(n + 2)] for i in range(n - 1, -1, -1): F[i][:] = F[i + 1] F[i][ord(s[i]) - 97] = i def interleaving(l, r): dp = [-1] + [n] * len(r) for j in range(1, len(r) + 1): dp[j] = F[dp[j - 1] + 1][ord(r[j - 1]) - 97] for i in range(1, len(l) + 1): dp[0] = F[dp[0] + 1][ord(l[i - 1]) - 97] for j in range(1, len(r) + 1): a = F[dp[j] + 1][ord(l[i - 1]) - 97] b = F[dp[j - 1] + 1][ord(r[j - 1]) - 97] dp[j] = min(a, b) return dp[-1] < n for i in range(len(p)): print(i) if interleaving(p[:i], p[i:]): return 'YES' return 'NO' for _ in range(int(input())): print(problem(input(), input())) ```
instruction
0
9,250
0
18,500
No
output
1
9,250
0
18,501
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` t=int(input()) for _ in range(t): s=input() t=input() flag='NO' j=0 ptr=0 while(j<len(s) and ptr<len(t)): if(s[j]==t[ptr]): ptr+=1 j+=1 else: j+=1 if(ptr==len(t)): flag='YES' else: for i in range(1,len(t)): j=0 ptr=0 temp1=0 while(ptr<=i and j<len(s)): if(s[j]==t[ptr]): ptr+=1 j+=1 else: j+=1 if(ptr==i+1): temp1=1 j=0 ptr=i+1 temp2=0 while(ptr<len(t) and j<len(s)): if(s[j]==t[ptr]): ptr+=1 j+=1 else: j+=1 if(ptr==len(t)): temp2=1 if(temp1==1 and temp2==1): flag='YES' break print(flag) ```
instruction
0
9,251
0
18,502
No
output
1
9,251
0
18,503
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. You can build new string p from s using the following operation no more than two times: 1. choose any subsequence s_{i_1}, s_{i_2}, ..., s_{i_k} where 1 ≀ i_1 < i_2 < ... < i_k ≀ |s|; 2. erase the chosen subsequence from s (s can become empty); 3. concatenate chosen subsequence to the right of the string p (in other words, p = p + s_{i_1}s_{i_2}... s_{i_k}). Of course, initially the string p is empty. For example, let s = ababcd. At first, let's choose subsequence s_1 s_4 s_5 = abc β€” we will get s = bad and p = abc. At second, let's choose s_1 s_2 = ba β€” we will get s = d and p = abcba. So we can build abcba from ababcd. Can you build a given string t using the algorithm above? Input The first line contains the single integer T (1 ≀ T ≀ 100) β€” the number of test cases. Next 2T lines contain test cases β€” two per test case. The first line contains string s consisting of lowercase Latin letters (1 ≀ |s| ≀ 400) β€” the initial string. The second line contains string t consisting of lowercase Latin letters (1 ≀ |t| ≀ |s|) β€” the string you'd like to build. It's guaranteed that the total length of strings s doesn't exceed 400. Output Print T answers β€” one per test case. Print YES (case insensitive) if it's possible to build t and NO (case insensitive) otherwise. Example Input 4 ababcd abcba a b defi fed xyz x Output YES NO NO YES Submitted Solution: ``` numTestcases = int(input()) for i in range (numTestcases): s = input().strip() t = input().strip() tLength = len(t) x = 0 works = "NO" for c in range (len(s)): if s[c] == t[x]: x += 1 if x == tLength: works = "YES" break if works == "NO": for c in range (len(s)): if s[c] == t[x]: x += 1 if x == tLength: works = "YES" break print(works) ```
instruction
0
9,252
0
18,504
No
output
1
9,252
0
18,505