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Provide a correct Python 3 solution for this coding contest problem. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2
instruction
0
57,127
0
114,254
"Correct Solution: ``` for _ in[0]*int(input()): X,Y,z=input(),input(),[] for y in Y: s=i=0 for k in z: t=X.find(y,s)+1 if t<1:break if t<k:z[i]=t s=k;i+=1 else: t=X.find(y,s)+1 if t:z+=[t] print(len(z)) ```
output
1
57,127
0
114,255
Provide a correct Python 3 solution for this coding contest problem. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2
instruction
0
57,128
0
114,256
"Correct Solution: ``` # ALDS_10_C - 最長共通部分列 import sys # def main(): # q = int(input()) # # for _ in range(q): # X = list(str(sys.stdin.readline().strip())) # Y = list(str(sys.stdin.readline().strip())) # # dp = [[0] * (len(X) + 1) for _ in range(len(Y) + 1)] # # for y in range(len(Y)): # for x in range(len(X)): # dp[y + 1][x + 1] = max(dp[y][x + 1], dp[y + 1][x]) # if X[x] == Y[y]: # dp[y + 1][x + 1] = dp[y][x] + 1 # # print(dp[-1][-1]) def main(): q = int(input()) for _ in range(q): X = list(str(sys.stdin.readline().strip())) Y = list(str(sys.stdin.readline().strip())) dp = [0] * (len(X) + 1) for y in range(len(Y)): dp2 = dp[:] # print(dp2) for x in range(len(X)): if X[x] == Y[y]: dp[x + 1] = dp2[x] + 1 elif dp[x + 1] < dp[x]: dp[x + 1] = dp[x] print(dp[-1]) if __name__ == '__main__': main() ```
output
1
57,128
0
114,257
Provide a correct Python 3 solution for this coding contest problem. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2
instruction
0
57,129
0
114,258
"Correct Solution: ``` def len_LCS(X,Y): x_l = len(X) y_l = len(Y) lcs_row = [0 for _ in range(x_l+1)] for j in range(y_l): y_j = Y[j] lcs_row_p = lcs_row[:] # lcs_row_p: [i] [i+1] # lcs_row : [i] [i+1] for i in range(x_l): if X[i] == y_j: lcs_row[i+1] = lcs_row_p[i] + 1 elif lcs_row[i] > lcs_row_p[i+1]: lcs_row[i+1] = lcs_row[i] return lcs_row[-1] if __name__=='__main__': n = int(input()) for _ in range(n): X = input() Y = input() print(len_LCS(X,Y)) ```
output
1
57,129
0
114,259
Provide a correct Python 3 solution for this coding contest problem. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2
instruction
0
57,130
0
114,260
"Correct Solution: ``` import sys def lcs(X, Y): indices = [0] for c in Y: for i in range(len(indices) - 1, -1, -1): tmp = X.find(c, indices[i]) if tmp + 1: if i + 1 < len(indices): indices[i + 1] = min(indices[i + 1], tmp + 1) else: indices.append(tmp + 1) return len(indices) - 1 q = int(input()) for i in range(q): X = sys.stdin.readline().rstrip('\r\n') Y = sys.stdin.readline().rstrip('\r\n') print(lcs(X, Y)) ```
output
1
57,130
0
114,261
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` def lcs(s1, s2): if len(s1) < len(s2): s1, s2 = s2, s1 dp = [] for s2_k in s2: #print(dp) bgn_idx = 0 for i, cur_idx in enumerate(dp):#要素とそのindexを取得 #s2_kをs1のbgn_idx番目以降から探す chr_idx = s1.find(s2_k, bgn_idx) + 1 #print(s2_k, i, cur_idx, chr_idx, dp) if not chr_idx:#0だったらTrue#findは見つからないとき - 1を返す break dp[i] = min(cur_idx, chr_idx) #print(dp) bgn_idx = cur_idx else:#breakされなければ読み込まれる。 chr_idx = s1.find(s2_k, bgn_idx) + 1 if chr_idx:#0だったらfalse dp.append(chr_idx) #print(dp) return len(dp) n = int(input()) for _ in range(n): x = input() y = input() print(lcs(x, y)) ```
instruction
0
57,131
0
114,262
Yes
output
1
57,131
0
114,263
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip() def lcs(x, y): dp = [0 for _ in range(len(y)+1)] for i in range(len(x)): tmp = dp[:] num = x[i] for j in range(len(y)): if num == y[j]: dp[j+1] = tmp[j] + 1 elif dp[j+1] < dp[j]: dp[j+1] = dp[j] return dp[-1] n=int(input()) for _ in range(n): print(lcs(input(),input())) ```
instruction
0
57,132
0
114,264
Yes
output
1
57,132
0
114,265
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` e=input a=[] for _ in[0]*int(e()): X,z=e(),[] for y in e(): s=i=0 for k in z: t=X.find(y,s)+1 if t<1:break if t<k:z[i]=t s=k;i+=1 else: t=X.find(y,s)+1 if t:z+=[t] a+=[len(z)] print('\n'.join(map(str,a))) ```
instruction
0
57,133
0
114,266
Yes
output
1
57,133
0
114,267
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` q = int(input()) def lcs(a, b): # L[i]はa1~ajとb1~bkから長さがi+1の共通部分列が作れるときのjが取りうる最小値とする L = [] for bk in b: bgn_idx = 0 # 検索開始位置 for i, cur_idx in enumerate(L): # bkがbgn_idx以降でaにあれば、そのidx+1かcur_idxの小さい方で更新 chr_idx = a.find(bk, bgn_idx) + 1 if not chr_idx: break L[i] = min(cur_idx, chr_idx) bgn_idx = cur_idx # 全部まわったということはbkが現在の最長の共通文字列以降にaにあったということ。であれば末尾に追加できる else: # bkがbgn_idx以降でaにあれば、そのidx+1をLに追加 chr_idx = a.find(bk, bgn_idx) + 1 if chr_idx: L.append(chr_idx) return len(L) for _ in range(q): s = input() t = input() print(lcs(s, t)) ```
instruction
0
57,134
0
114,268
Yes
output
1
57,134
0
114,269
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` def calc_lcs(X, Y): from array import array max_lcs = 0 m = len(X) n = len(Y) X = ' ' + X Y = ' ' + Y c = array('I', [0] * (1001 * 1001)) for i in range(1, m+1): for j in range(1, n+1): if X[i] == Y[j]: c[i*1001 + j] = c[(i-1)*1001 + j - 1] + 1 elif c[(i-1)*1001 + j] >= c[i*1001 + j - 1]: c[i*1001 + j] = c[(i-1)*1001 + j] else: c[i*1001 + j] = c[i*1001 + j - 1] max_lcs = max(max_lcs, c[i*1001 + j]) return max_lcs if __name__ == '__main__': # ??????????????\??? num = int(input()) # f = open('input.txt') # num = int(f.readline()) for _ in range(num): X = input() Y = input() # X = f.readline().strip() # Y = f.readline().strip() # ??????????????? result = calc_lcs(X, Y) # ???????????¨??? print(result) ```
instruction
0
57,135
0
114,270
No
output
1
57,135
0
114,271
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` from collections import defaultdict def longest_common_subsequence(s, t): dp = [[0] * (len(t) + 1) for _ in range(len(s) + 1)] for i in range(len(s)): for j in range(len(t)): if s[i] == t[j]: dp[i + 1][j + 1] = dp[i][j] + 1 else: dp[i + 1][j + 1] = max(dp[i + 1][j], dp[i][j + 1]) return dp[-1][-1] def longest_common_subsequence2(s, t): dp = [0 for _ in range(len(t) + 1)] for i in range(len(s)): tmp = dp[:] for j in range(len(t)): if s[i] == t[j]: dp[j + 1] = tmp[j] + 1 else: dp[j + 1] = max(dp[j + 1], dp[j]) return dp[-1] def main(): n = int(input()) for _ in range(n): X, Y = input(), input() print(longest_common_subsequence2(X, Y)) if __name__ == '__main__': main() ```
instruction
0
57,136
0
114,272
No
output
1
57,136
0
114,273
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` # -*- coding: utf-8 -*- import numpy as np def lcs_sol(x, y): n = len(x) m = len(y) dp = np.zeros((n + 1) * (m + 1)).reshape(n + 1, m + 1) for i in range(1, n + 1): for j in range(1, m + 1): if x[i - 1] == y[j - 1]: dp[i][j] = dp[i - 1][j - 1] + 1 else: dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]) return dp[n][m] if __name__ == '__main__': import sys q = int(sys.stdin.readline().strip()) for i in range(q): x = sys.stdin.readline().strip() y = sys.stdin.readline().strip() print(lcs_sol(x, y)) ```
instruction
0
57,137
0
114,274
No
output
1
57,137
0
114,275
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For given two sequences $X$ and $Y$, a sequence $Z$ is a common subsequence of $X$ and $Y$ if $Z$ is a subsequence of both $X$ and $Y$. For example, if $X = \\{a,b,c,b,d,a,b\\}$ and $Y = \\{b,d,c,a,b,a\\}$, the sequence $\\{b,c,a\\}$ is a common subsequence of both $X$ and $Y$. On the other hand, the sequence $\\{b,c,a\\}$ is not a longest common subsequence (LCS) of $X$ and $Y$, since it has length 3 and the sequence $\\{b,c,b,a\\}$, which is also common to both $X$ and $Y$, has length 4. The sequence $\\{b,c,b,a\\}$ is an LCS of $X$ and $Y$, since there is no common subsequence of length 5 or greater. Write a program which finds the length of LCS of given two sequences $X$ and $Y$. The sequence consists of alphabetical characters. Constraints * $1 \leq q \leq 150$ * $1 \leq$ length of $X$ and $Y$ $\leq 1,000$ * $q \leq 20$ if the dataset includes a sequence whose length is more than 100 Input The input consists of multiple datasets. In the first line, an integer $q$ which is the number of datasets is given. In the following $2 \times q$ lines, each dataset which consists of the two sequences $X$ and $Y$ are given. Output For each dataset, print the length of LCS of $X$ and $Y$ in a line. Example Input 3 abcbdab bdcaba abc abc abc bc Output 4 3 2 Submitted Solution: ``` def lcs(X,Y): p=len(X) q=len(Y) Z=[[0 for i in range(q+1)]for j in range(p+1)] for i in range(p): for j in range(q): if X[i]==Y[j]: Z[i+1][j+1]=Z[i][j]+1 else: if Z[i][j+1]>Z[i+1][j]: Z[i+1][j+1]=Z[i][j+1] else: Z[i+1][j+1]=Z[i+1][j] print(Z[p][q]) n=int(input()) for i in range(n): X=input() Y=input() lcs(X,Y) ```
instruction
0
57,138
0
114,276
No
output
1
57,138
0
114,277
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,212
0
114,424
Tags: implementation, sortings, strings Correct Solution: ``` n=int(input()) a=input() lo,hi=0,0 flag=0 for i in range(n-1): x=a[i] y=a[i+1] if x>y: flag=1 lo=i+1 hi=i+2 break if flag==1: print("YES") print(lo,hi) else: print("NO") ```
output
1
57,212
0
114,425
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,213
0
114,426
Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) s = input() for i in range(0, n-1): if s[i+1] < s[i]: print('YES') print(i+1, i + 2) exit(0) print('NO') ```
output
1
57,213
0
114,427
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,214
0
114,428
Tags: implementation, sortings, strings Correct Solution: ``` input() a=input() r=-1 for i,x in enumerate(zip(a,a[1:])): if x[0]>x[1]:r=i+1 print([f'YES\n{r} {r+1}','NO'][r<0]) ```
output
1
57,214
0
114,429
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,215
0
114,430
Tags: implementation, sortings, strings Correct Solution: ``` def main(): from sys import stdin, stdout n = int(stdin.readline().rstrip()) s = stdin.readline().rstrip() flag = True for i in range(n - 1): if s[i] <= s[i + 1]: continue else: stdout.write("YES\n" + str(i + 1) + " " + str(i + 2) + "\n") flag = False return if flag == True: stdout.write("NO\n") return for i in range(n): for j in range(n - 1, i, -1): #stdout.write(s[i:j] + " " + sr + "\n") if s[i] > s[j]: #stdout.write(sr + "\n" + s[i:j] + "\n") stdout.write("YES\n" + str(i + 1) + " " + str(j + 1) + "\n") return stdout.write("NO\n") if __name__ == "__main__": main() ```
output
1
57,215
0
114,431
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,216
0
114,432
Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) s = input() flag = False #start, stop = -1 for i in range(n-1): if s[i]>s[i+1]: flag = True print("YES") print(i+1, i+2) break if not flag: print("NO") ```
output
1
57,216
0
114,433
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,217
0
114,434
Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) s = input() i = 0 while i < n - 1 and s[i] <= s[i + 1]: i += 1 if i == n - 1: print('NO') else: print('YES') print('{} {}'.format(i + 1, i + 2)) ```
output
1
57,217
0
114,435
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,218
0
114,436
Tags: implementation, sortings, strings Correct Solution: ``` n=int(input()) a=str(input()) c=ord(a[0]) for i in range(1,n): if c<=ord(a[i]): c=ord(a[i]) else: print("YES") print(i,i+1) exit() print("NO") ```
output
1
57,218
0
114,437
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba".
instruction
0
57,219
0
114,438
Tags: implementation, sortings, strings Correct Solution: ``` n = int(input()) string = input() flag = 0 for i in range(0,n-1): if string[i] > string[i+1]: flag = 1 print("YES") print(i+1,i+2) break if flag == 0: print("NO") ```
output
1
57,219
0
114,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` input() word1 = input() def str_reverse(word): for idx, letter in enumerate(word): if idx != len(word) - 1: if word[idx] > word[idx + 1]: print('YES') print(idx + 1, idx + 2) return print('NO') (str_reverse(word1)) ```
instruction
0
57,220
0
114,440
Yes
output
1
57,220
0
114,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n = int(input()) l = list(input()) cnt = [0] * 26 cnt[ord(l[0]) - 97] = 1 st = -1 for i in range(1, n): cnt[ord(l[i]) - 97] = 1 for j in range(ord(l[i]) - 97 + 1, 26): if cnt[j] == 1: st = i if st == -1: print('NO') exit() print('YES') rev = -2 for i in range(st): if l[i] > l[st]: rev = i break print(rev + 1, st + 1) ```
instruction
0
57,221
0
114,442
Yes
output
1
57,221
0
114,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n = int(input()) a = list(input()) work = False l,r = 0,0 l = 1 lv = ord(a[0]) for i in range(1,len(a)): if ord(a[i])>=lv: lv = ord(a[i]) l = i+1 else: r = i+1 work = True break if work: print("YES") print(l,r) else: print("NO") ```
instruction
0
57,222
0
114,444
Yes
output
1
57,222
0
114,445
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n=int(input()) s=input() fl=0 for i in range(n-1): if s[i]>s[i+1]: print('YES') print(i+1, i + 2) fl=1 break if not fl: print('NO') ```
instruction
0
57,223
0
114,446
Yes
output
1
57,223
0
114,447
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n, a = int(input()), input() for i in range(n - 1): if a[i] > a[i + 1]: exit(print('YES', i + 1, i + 1)) print('NO') ```
instruction
0
57,224
0
114,448
No
output
1
57,224
0
114,449
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n = int(input()) s = list((input())) v = list(sorted(s)) if s == v: print('NO') exit() print('YES') for i in range(0, n - 1): if s[i] != v[i]: for j in range(i, n - 1): if v[i] == s[j]: print(i + 1, j + 1) exit() # UBCF # CodeForcesian # ♥ # تفففففف ```
instruction
0
57,225
0
114,450
No
output
1
57,225
0
114,451
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` _ = input() x = input() start = 0 for i,ch in enumerate(x): if i == 0: continue if x[start] > ch: print("YES") print(start, i) break if ch > x[start]: start = i else: print("NO") ```
instruction
0
57,226
0
114,452
No
output
1
57,226
0
114,453
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s consisting of n lowercase Latin letters. Let's define a substring as a contiguous subsegment of a string. For example, "acab" is a substring of "abacaba" (it starts in position 3 and ends in position 6), but "aa" or "d" aren't substrings of this string. So the substring of the string s from position l to position r is s[l; r] = s_l s_{l + 1} ... s_r. You have to choose exactly one of the substrings of the given string and reverse it (i. e. make s[l; r] = s_r s_{r - 1} ... s_l) to obtain a string that is less lexicographically. Note that it is not necessary to obtain the minimum possible string. If it is impossible to reverse some substring of the given string to obtain a string that is less, print "NO". Otherwise print "YES" and any suitable substring. String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages​​. Input The first line of the input contains one integer n (2 ≤ n ≤ 3 ⋅ 10^5) — the length of s. The second line of the input contains the string s of length n consisting only of lowercase Latin letters. Output If it is impossible to reverse some substring of the given string to obtain a string which is lexicographically less, print "NO". Otherwise print "YES" and two indices l and r (1 ≤ l < r ≤ n) denoting the substring you have to reverse. If there are multiple answers, you can print any. Examples Input 7 abacaba Output YES 2 5 Input 6 aabcfg Output NO Note In the first testcase the resulting string is "aacabba". Submitted Solution: ``` n = int(input()) s = input() for i in range(n-1): if s[i] > s[i+1]: print("YES") print(i+1, i+2) else: print("NO") ```
instruction
0
57,227
0
114,454
No
output
1
57,227
0
114,455
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,364
0
114,728
Tags: implementation, strings Correct Solution: ``` k = int(input()) def f(s): a='' for i in set(s): if s.count(i)%k: return False else: a+=s.count(i)//k*i return a s=f(input()) print(s*k if s else -1) ```
output
1
57,364
0
114,729
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,365
0
114,730
Tags: implementation, strings Correct Solution: ``` track = dict() k = int(input()) s = input() for i in s: if not (i in track.keys()): track[i] = 0 track[i] += 1 poss = True for i in track.keys(): if(track[i] % k != 0): poss = False print(-1) break if(poss): sub = "" for i in track.keys(): sub += i * int(track[i]/k) print(sub * k) ```
output
1
57,365
0
114,731
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,366
0
114,732
Tags: implementation, strings Correct Solution: ``` k=int(input()) string=input() size=len(string)//k if len(string)%k!=0: print(-1) exit() dict={} for c in string: dict[c]=string.count(c) ans=sum([x//k for x in dict.values()]) List=dict.keys() y="".join(x*(dict[x]//k) for x in List) if ans==size: print(y*k) else: print(-1) ```
output
1
57,366
0
114,733
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,367
0
114,734
Tags: implementation, strings Correct Solution: ``` import sys k=int(input()) s=list(input()) count=[0]*26 n=len(s) ans='' for i in range(n): count[ord(s[i])-97]+=1 for i in range(26): if count[i]%k!=0: print(-1) sys.exit() else: ans+=chr(i+97)*(count[i]//k) print(ans*k) ```
output
1
57,367
0
114,735
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,368
0
114,736
Tags: implementation, strings Correct Solution: ``` k = int(input()) s = input() chars = "".join(set(s)) kstring = "" for i in chars: if s.count(i) % k != 0: kstring = -1 break kstring += i * (s.count(i) // k) if kstring == -1: print(kstring) else: print(kstring * k) ```
output
1
57,368
0
114,737
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,369
0
114,738
Tags: implementation, strings Correct Solution: ``` k=int(input()) s=input() l=list(s) x=sorted(list(set(map(str,l)))) c=0 ct=[] for i in range(len(x)): ct.append(l.count(x[i])) if (l.count(x[i]))%k==0: c+=1 if c==len(x): r="" for i in range(len(x)): r+= x[i]*((ct[i])//k) print(r*k) else: print(-1) ```
output
1
57,369
0
114,739
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,370
0
114,740
Tags: implementation, strings Correct Solution: ``` k=int(input()) s=list(input()) d={} for x in s: d[x]=d.get(x,0)+1 for x in d: if d[x]%k: print(-1); break d[x]//=k else: s='' for x in d: for i in range(d[x]): s+=x ans=[s for _ in range(k)] print(''.join(ans)) ```
output
1
57,370
0
114,741
Provide tags and a correct Python 3 solution for this coding contest problem. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1
instruction
0
57,371
0
114,742
Tags: implementation, strings Correct Solution: ``` def kstring(s, k): if len(s)%k != 0: return "" else: from collections import Counter d = dict(Counter(s)) ans = [] for letter in d: count = d[letter] if count%k == 0: ans.append(letter*(count//k)) else: return "" ans = "".join(ans) ans = ans*k return ans k = int(input()) s = input() a = kstring(s, k) if not a: print(-1) else: print(a) ```
output
1
57,371
0
114,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` k=int(input()) s=input().strip() chars=set() freq=[0]*(26) for i in s: chars.add(i) freq[ord(i)-ord('a')]+=1 for i in range(26): if freq[i]%k!=0: print("-1") exit() else: freq[i]//=k for i in range(k): for j in range(26): for l in range(freq[j]): print(chr(j+ord('a')),end="") print() ```
instruction
0
57,372
0
114,744
Yes
output
1
57,372
0
114,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` k = int(input()) a = input() b = list(set(a)) c = {} for i in b: if a.count(i)%k == 0: c[i] = a.count(i)//k else: print(-1) exit(0) substring = '' for key in c: substring += c[key]*key print(k*substring) ```
instruction
0
57,373
0
114,746
Yes
output
1
57,373
0
114,747
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` from collections import Counter def Sol(st,k): data = Counter(st) d = data.most_common() for i in d: if i[1]%k != 0: print(-1) return c = list(data.values()) c.sort(reverse=True) for i in range(len(c)): c[i] = int(c[i]/k) ans = '' it = 0 l = len(c) count = 0 while True: if d[0][1] != 0: ans += d[0][0]*c[it] d = d[1:] + [(d[0][0],d[0][1]-c[it])] it += 1 if it%l == 0: it = 0 else: break print(ans) return #for t in range(int(input())): #n,k = map(int,input().split()) #n = int(input()) #arr = list(map(int,input().split())) k = int(input()) n = input() Sol(n,k) ```
instruction
0
57,374
0
114,748
Yes
output
1
57,374
0
114,749
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` n = int(input()) string = input() d = {x:0 for x in string} count = 0 for s in string: d[s] += 1 notok = False letters = '' for key,values in d.items(): if values%n != 0: print(-1) notok = True break else: letters += (int(values/n)*key) #print(d) if notok == False: print(n*letters) ```
instruction
0
57,375
0
114,750
Yes
output
1
57,375
0
114,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` def func(): k = int(input()) s = input() slist = [] copy = [] pos = 0 rep = 1 for let in s: slist.append(let) for let in slist: if let in copy: continue if rep > k: print(-1) return pos = slist.index(let) rep = 1 while True: if rep == k: copy.append(let) break if pos+1 == len(slist): break if let != slist[pos+1]: pos+=1 else: pos+=1 rep += 1 if rep < k: print(-1) return word1 = "" word2 = "" for let in copy: word1 += let for i in range(k): word2 += word1 print(word2) func() ```
instruction
0
57,376
0
114,752
No
output
1
57,376
0
114,753
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` def solve(s,n): d = {} for i in s: if not d.get(i): d[i] = 1 else: d[i] += 1 l = [(k,v) for k,v in d.items()] res = '' base_val = 1000000000 for i in range(len(l)): if l[i][1] % n != 0: return -1 if l[i][1] < base_val: base_val = l[i][1] for i in range(len(l)): for j in range(i, len(l)): if l[i][0] > l[j][0]: l[i],l[j] = l[j],l[i] for i in l: res+=i[0]*(i[1]//n) return res*base_val def main() : # n,k = list(map(int, input().split(' '))) # n = int(input()) # arr = input().split(' ') # s = input() # res='' # arr = [] # for _ in range(n): # i = input() # arr.append(i) # for i in arr: n = int(input()) s = input() print(solve(s,n)) main() ```
instruction
0
57,377
0
114,754
No
output
1
57,377
0
114,755
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` k=int(input()) s=str(input()) s=list(s) d={} for i in s: d[i]=s.count(i) cnt=0 s1='' for j in d: if d[j]==k: cnt+=1 s1+=j if cnt!=len(d): print(-1) else: print(s1*k) ```
instruction
0
57,378
0
114,756
No
output
1
57,378
0
114,757
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A string is called a k-string if it can be represented as k concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string s, consisting of lowercase English letters and a positive integer k. Your task is to reorder the letters in the string s in such a way that the resulting string is a k-string. Input The first input line contains integer k (1 ≤ k ≤ 1000). The second line contains s, all characters in s are lowercase English letters. The string length s satisfies the inequality 1 ≤ |s| ≤ 1000, where |s| is the length of string s. Output Rearrange the letters in string s in such a way that the result is a k-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes). Examples Input 2 aazz Output azaz Input 3 abcabcabz Output -1 Submitted Solution: ``` k=int(input()) n=input() x='' v='' lst=[] lst1=[] if(n.count(n[0])==len(n) and len(n)==k): print(n) else: for i in n: if(i not in lst1): x=x+i lst.append(n.count(i)) lst1.append(i) if(min(lst)==k): for j in x: v+=(j*(n.count(j)//k)) print(v*k) else: print(-1) ```
instruction
0
57,379
0
114,758
No
output
1
57,379
0
114,759
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,540
0
115,080
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` from collections import Counter from collections import defaultdict def get_single(a, b): res = 2 ** 32 for s in b.keys(): res = min(res, a[s] // b[s]) return res def get_count(a, b, c): best = 0, get_single(a, c) r1 = 0 while a & b == b: r1 += 1 a = a - b r2 = get_single(a, c) if r1 + r2 > sum(best): best = r1, r2 return best a = input() b = input() c = input() aa = Counter(a) bb = Counter(b) cc = Counter(c) r = get_count(Counter(a), bb, cc) res = b * r[0] + c * r[1] rest = aa - Counter(res) res += ''.join(list(rest.elements())) print(res) ```
output
1
57,540
0
115,081
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,541
0
115,082
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` sa = input() a = [0] * 26 for i in sa: a[ord(i) - ord('a')] += 1 sb = input() b = [0] * 26 for i in sb: b[ord(i) - ord('a')] += 1 sc = input() c = [0] * 26 for i in sc: c[ord(i) - ord('a')] += 1 def zu(n): m = 1000000000 for i in range(26): if n * b[i] > a[i]: return -1 if c[i] > 0: m = min(m, (a[i] - n * b[i]) // c[i]) return n + m n = 0 m = 0 v = 0 for i in range(100000): u = zu(i) if u < 0: break if v < u: v = u n = i m = u - i print(sb * n + sc * m, end = '') for i in range(26): a[i] -= n * b[i] + m * c[i] print(chr(i + ord('a')) * a[i], end = '') ```
output
1
57,541
0
115,083
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,542
0
115,084
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` contest = True if not contest: fin = open("in", "r") inp = input if contest else lambda: fin.readline()[:-1] read = lambda: tuple(map(int, inp().split())) def cstr(s): d = {} for c in s: if not c in d: d[c] = 1 else: d[c] += 1 return d s, a, b = inp(), inp(), inp() ks, ka, kb = cstr(s), cstr(a), cstr(b) def suka(ks, kx, minusV, minusK): ans = "" d = 10**20 #print("k:", minusK, "|", ", ".join([str(k)+":"+str(kx[k]) for k in kx])) for k in kx: if not k in ks: return 0 c = ks[k] if k in minusV: c = max(c - minusV[k] * minusK, 0) #print(ks[k] // c, k, ":", ks[k], minusV[k] if k in minusV else "_", minusK) d = min(c // kx[k], d) #print(d, ka, b * d) return d def solve(s, ka, kb): ks = cstr(s) #print("\n---------", ", ".join([str(k)+":"+str(ks[k]) for k in ks])) #print("---------", ", ".join([str(k)+":"+str(ka[k]) for k in ka])) #print("---------", ", ".join([str(k)+":"+str(kb[k]) for k in kb])) da = suka(ks, ka, {}, 0) mx = 0 ans = (-1, -1) for dai in range(0, da+1): db = suka(ks, kb, ka, dai) if dai + db >= mx: mx = dai + db ans = (dai, db) return (mx, ans) ab = ((b, a, kb, ka), (a, b, ka, kb)) answs = [(solve(s, kb, ka), 0), (solve(s, ka, kb), 1)] ans = max(answs, key=lambda v: v[0]) ab = ab[ans[1]] ans = ans[0][1] for k in ks: if k in ab[2]: ks[k] -= ans[0] * ab[2][k] if k in ab[3]: ks[k] -= ans[1] * ab[3][k] print(ans[0] * ab[0] + ans[1] * ab[1] + "".join([str(k * ks[k]) for k in ks])) ```
output
1
57,542
0
115,085
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,543
0
115,086
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` a = input() b = input() c = input() all_set = set(a + b + c) def getMin(object_dict, sub_dict): return min([object_dict[ch] // sub_dict[ch] for ch in sub_dict.keys() if sub_dict[ch] > 0]) a_dict = {ch : a.count(ch) for ch in all_set} b_dict = {ch : b.count(ch) for ch in all_set} c_dict = {ch : c.count(ch) for ch in all_set} bMin = getMin(a_dict, b_dict) bsum = 0 csum = 0 for i in range(bMin + 1): j = min((a_dict[ch] - b_dict[ch] * i) // c_dict[ch] for ch in all_set if c_dict[ch] > 0) if i + j > bsum + csum: bsum, csum = i, j print(b * bsum, end = "") print(c * csum, end = "") for ch in all_set: print(ch * (a_dict[ch] - b_dict[ch] * bsum - c_dict[ch] * csum), end = '') print() ```
output
1
57,543
0
115,087
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,544
0
115,088
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,copy from itertools import chain, dropwhile, permutations, combinations from collections import defaultdict, deque # Guide: # 1. construct complex data types while reading (e.g. graph adj list) # 2. avoid any non-necessary time/memory usage # 3. avoid templates and write more from scratch # 4. switch to "flat" implementations def VI(): return list(map(int,input().split())) def I(): return int(input()) def LIST(n,m=None): return [0]*n if m is None else [[0]*m for i in range(n)] def ELIST(n): return [[] for i in range(n)] def MI(n=None,m=None): # input matrix of integers if n is None: n,m = VI() arr = LIST(n) for i in range(n): arr[i] = VI() return arr def MS(n=None,m=None): # input matrix of strings if n is None: n,m = VI() arr = LIST(n) for i in range(n): arr[i] = input() return arr def MIT(n=None,m=None): # input transposed matrix/array of integers if n is None: n,m = VI() a = MI(n,m) arr = LIST(m,n) for i,l in enumerate(a): for j,x in enumerate(l): arr[j][i] = x return arr def run(n,x,l,r): s = 0 curr = 1 for i in range(n): skip = (l[i]-curr) // x s += r[i]-curr-skip*x+1 curr = r[i]+1 print(s) def main(info=0): a,b,c = input(), input(), input() A = [a.count(chr(x+ord('a'))) for x in range(26)] B = [b.count(chr(x+ord('a'))) for x in range(26)] C = [c.count(chr(x+ord('a'))) for x in range(26)] def nin(m,s): n = 1000000 for x in set(s): i = ord(x)-ord('a') n = min(n, m[i]//s.count(x)) return n def xin(m,s): n = 1000000 for i in range(26): if s[i]>0: n = min(n, m[i]//s[i]) return n def setup(ib,ic): s = b*ib + c*ic for i in range(26): char = chr(i+ord('a')) if char in s: A[i] -= s.count(char) s += char * A[i] return s # nb = nin(A,b) # nc = nin(A,c) nb = xin(A,B) nc = xin(A,C) best_i = (-1,-1) best = 0 for j in range(nb+1): loc = nc for x in range(26): if C[x]>0: loc = min(loc, (A[x]-j*B[x])//C[x]) if (j+loc)>best: best = j+loc best_i = (j,loc) print(setup(*best_i)) # p = nc+nb # minus = 0 # ii, jj = -1,-1 # while p-minus>0: # for i in range(0,minus+1): # j = minus-i # if i>nb or j>nc: # continue # #print("start ",p,i,j,p-i-j) # if nin((b*(nb-i))+(c*(nc-j)))>0: # ii,jj = nb-i,nc-j # #print("f ",ii,jj) # break # if ii >= 0: # #print("w ",ii,jj) # break # minus += 1 # if ii<0: # print(a) # else: # s = b*ii + c*jj # for i,v in enumerate(m): # char = chr(i+ord('a')) # if char in s: # m[i] -= s.count(char) # s += char * m[i] # print(s) if __name__ == "__main__": main() ```
output
1
57,544
0
115,089
Provide tags and a correct Python 3 solution for this coding contest problem. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings a, b, and c. He wants to obtain string k by swapping some letters in a, so that k should contain as many non-overlapping substrings equal either to b or c as possible. Substring of string x is a string formed by consecutive segment of characters from x. Two substrings of string x overlap if there is position i in string x occupied by both of them. GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings k? Input The first line contains string a, the second line contains string b, and the third line contains string c (1 ≤ |a|, |b|, |c| ≤ 105, where |s| denotes the length of string s). All three strings consist only of lowercase English letters. It is possible that b and c coincide. Output Find one of possible strings k, as described in the problem statement. If there are multiple possible answers, print any of them. Examples Input aaa a b Output aaa Input pozdravstaklenidodiri niste dobri Output nisteaadddiiklooprrvz Input abbbaaccca ab aca Output ababacabcc Note In the third sample, this optimal solutions has three non-overlaping substrings equal to either b or c on positions 1 – 2 (ab), 3 – 4 (ab), 5 – 7 (aca). In this sample, there exist many other optimal solutions, one of them would be acaababbcc.
instruction
0
57,545
0
115,090
Tags: brute force, constructive algorithms, implementation, strings Correct Solution: ``` INF = 999999999999999999999999999999999999999 a = input() b = input() c = input() a_letters = [0] * 26 b_letters = [0] * 26 c_letters = [0] * 26 for code in range(ord('a'), ord('z') + 1): letter = chr(code) a_letters[code - ord('a')] = a.count(letter) b_letters[code - ord('a')] = b.count(letter) c_letters[code - ord('a')] = c.count(letter) while True: b_count = [0] * 26 for i in range(26): if b_letters[i] > 0: b_count[i] = a_letters[i] // b_letters[i] else: b_count[i] = INF c_count = [0] * 26 for i in range(26): if c_letters[i] > 0: c_count[i] = a_letters[i] // c_letters[i] else: c_count[i] = INF b_min = min(b_count) c_min = min(c_count) if b_min == 0 and c_min == 0: break if b_min > c_min: print(b, end='') for i in range(26): a_letters[i] -= b_letters[i] else: print(c, end='') for i in range(26): a_letters[i] -= c_letters[i] for i in range(26): print(chr(ord('a') + i) * a_letters[i], end='') print() ```
output
1
57,545
0
115,091