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Provide a correct Python 3 solution for this coding contest problem. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara
instruction
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"Correct Solution: ``` s=input() t=input() a=len(s) b=len(t) dp=[[0]*(b+1) for i in range(a+1)] for i in range(a): for j in range(b): if s[i]==t[j]: dp[i+1][j+1]=dp[i][j]+1 else: dp[i+1][j+1]=max(dp[i][j+1],dp[i+1][j]) res='' while a!=0 and b!=0: if dp[a][b]==dp[a-1][b]: a-=1 elif dp[a][b]==dp[a][b-1]: b-=1 else: a-=1 b-=1 res=s[a]+res print(res) ```
output
1
28,911
0
57,823
Provide a correct Python 3 solution for this coding contest problem. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara
instruction
0
28,912
0
57,824
"Correct Solution: ``` s = input() t = input() lenS = len(s) lenT = len(t) dp = [] for i in range(lenS+1): dp.append([0]*(lenT+1)) for i in range(1,lenS+1): for j in range(1,lenT+1): if s[i-1]==t[j-1]: dp[i][j]=dp[i-1][j-1]+1 else: dp[i][j]=max(dp[i-1][j],dp[i][j-1]) ans="" i=lenS j=lenT while i>0 and j>0: if dp[i][j]==dp[i-1][j]: i-=1 elif dp[i][j]==dp[i][j-1]: j-=1 else: ans+=s[i-1] i-=1 j-=1 print(ans[::-1]) ```
output
1
28,912
0
57,825
Provide a correct Python 3 solution for this coding contest problem. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara
instruction
0
28,913
0
57,826
"Correct Solution: ``` s = input() t = input() ls = len(s) lt = len(t) ans = "" dp = [[0]*(ls+1) for i in range(lt+1)] for i in range(1,lt+1): for j in range(1,ls+1): dp[i][j] = max(dp[i-1][j],dp[i][j-1]) if s[j-1] == t[i-1]: dp[i][j] = dp[i-1][j-1]+1 i = lt j = ls while i-1>=0 and j-1>=0: if dp[i][j] == dp[i-1][j]: i -= 1 continue elif dp[i][j] == dp[i][j-1]: j -= 1 continue else: i -= 1 j -= 1 ans = s[j] + ans print(ans) ```
output
1
28,913
0
57,827
Provide a correct Python 3 solution for this coding contest problem. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara
instruction
0
28,914
0
57,828
"Correct Solution: ``` s=input() t=input() S=len(s) T=len(t) ans=[[0 for e in range(S+1)] for f in range(T+1)] chk=[] for a in range(1,T+1): for b in range(1,S+1): if t[a-1]==s[b-1]: ans[a][b]=ans[a-1][b-1]+1 else: if ans[a-1][b]>ans[a][b-1]: ans[a][b]=ans[a-1][b] else: ans[a][b]=ans[a][b-1] x,y=T,S while x>0 and y>0: if ans[x][y]==ans[x-1][y]: x-=1 elif ans[x][y]==ans[x][y-1]: y-=1 else: x-=1 y-=1 chk.append(s[y]) chk.reverse() print("".join(chk)) ```
output
1
28,914
0
57,829
Provide a correct Python 3 solution for this coding contest problem. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara
instruction
0
28,915
0
57,830
"Correct Solution: ``` s1=input() s2=input() n1=len(s1) n2=len(s2) dp=[[0 for i in range(n2+1)] for j in range(n1+1)] for i in range(1,n1+1): for j in range(1,n2+1): if s1[i-1]==s2[j-1]: dp[i][j]=1+dp[i-1][j-1] else: dp[i][j]=max(dp[i-1][j],dp[i][j-1]) s="" i,j=n1,n2 while dp[i][j]: if dp[i][j]==dp[i][j-1]: j-=1 elif dp[i][j]==dp[i-1][j]: i-=1 else: s=s1[i-1]+s i-=1 j-=1 print(s) ```
output
1
28,915
0
57,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` *s, = input() *t, = input() 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]) ans = "" i, j = len(s), len(t) while i > 0 and j > 0: if dp[i][j] == dp[i-1][j]: i -= 1 elif dp[i][j] == dp[i][j-1]: j -= 1 else: ans = s[i-1] + ans i -= 1 j -= 1 print(ans) ```
instruction
0
28,916
0
57,832
Yes
output
1
28,916
0
57,833
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` s=input() t=input() ls=len(s) lt=len(t) INF=float('inf') dp=[[0 for i in range(lt+1)] for j in range(ls+1)] R=[[INF for i in range(lt+1)] for j in range(ls+1)] for i in range(1,ls+1): for j in range(1,lt+1): if s[i-1]==t[j-1]: dp[i][j]=dp[i-1][j-1]+1 else: dp[i][j]=max(dp[i][j-1],dp[i-1][j]) l=dp[ls][lt] ans='' i=ls j=lt while l>0: if s[i-1]==t[j-1]: ans=str(s[i-1])+ans l-=1 i-=1 j-=1 elif dp[i][j]==dp[i-1][j]: i-=1 else: j-=1 print(ans) ```
instruction
0
28,917
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Yes
output
1
28,917
0
57,835
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` S = input() T = input() s,t = len(S),len(T) dp = [[0]*(t+1) for _ in range(s+1)] for i in range(1,s+1): for j in range(1,t+1): if S[i-1]==T[j-1]: dp[i][j] = dp[i-1][j-1]+1 else: dp[i][j] = max(dp[i-1][j],dp[i][j-1]) ans = '' n,m = s,t while n>0 and m>0: if dp[n][m]==dp[n-1][m]: n -= 1 elif dp[n][m]==dp[n][m-1]: m -= 1 else: ans = S[n-1] + ans n -= 1 m -= 1 print(ans) ```
instruction
0
28,918
0
57,836
Yes
output
1
28,918
0
57,837
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` s = list(input()) t = list(input()) a = len(s) b = len(t) dp = [[0]*(b+1) for _ in range(a+1)] ans = "" #dp[i][j]はi文字目までのsとtのj文字目までの共通部分 for i in range(a): for j in range(b): if s[i] == t[j]: dp[i+1][j+1] = dp[i][j]+1 else: dp[i+1][j+1] = max(dp[i][j+1],dp[i+1][j]) i = a j = b while(i>=0 and j>=0): if dp[i][j] == dp[i-1][j]: i -= 1 elif dp[i][j] == dp[i][j-1]: j -= 1 else: ans = t[j-1]+ans i -= 1 j -= 1 print(ans) ```
instruction
0
28,919
0
57,838
Yes
output
1
28,919
0
57,839
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` s=' '+input() t=' '+input() dp=[['']*len(t)for _ in range(len(s))] for i in range(1,len(s)): for j in range(1,len(t)): if s[i]==t[j]: dp[i][j]=dp[i-1][j-1]+s[i] elif len(dp[i-1][j])>len(dp[i][j-1]): dp[i][j]=dp[i-1][j] else: dp[i][j]=dp[i][j-1] print(dp[-1][-1]) ```
instruction
0
28,920
0
57,840
No
output
1
28,920
0
57,841
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` s = input() t = input() ls = len(s) lt = len(t) dp = [[0 for _ in range(lt + 1)] for _ in range(ls + 1)] # dp[ls][lt] = LCS_length for i in range(ls): for j in range(lt): if s[i] == t[j]: dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j] + 1) dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i + 1][j]) dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j + 1]) res = '' i = ls j = lt while i > 0 and j > 0: if dp[i][j] == dp[i - 1][j]: i -= 1 elif dp[i][j] == dp[i][j - 1]: j -= 1 else: res = s[i - 1] + res i -= 1 j -= 1 print(res) ```
instruction
0
28,921
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No
output
1
28,921
0
57,843
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time, copy, functools sys.setrecursionlimit(10**7) inf = 10 ** 20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1, 0), (0, 1), (1, 0), (0, -1)] ddn = [(-1, 0), (-1, 1), (0, 1), (1, 1), (1, 0), (1, -1), (0, -1), (-1, -1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): s = input() t = input() n = len(s) m = len(t) dp = [[0 for j in range(m+1)] for i in range(n + 1)] for i in range(n): for j in range(m): 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]) # print(t) # v = 0 # result = '' # print('dp[-1]', dp[-1]) # for idx, i in enumerate(dp[-1]): # print(idx, i) # if i == v + 1: # result += t[idx-1] # v += 1 # print(result) lcs_str = '' i, j = n - 1, m - 1 while i >= 0 and j >= 0: if s[i] == t[j]: lcs_str += s[i] i -= 1 j -= 1 elif dp[i+1][j+1] == 0: break else: if dp[i][j+1] > dp[i+1][j]: i -= 1 else: j -= 1 print(lcs_str[::-1]) main() ```
instruction
0
28,922
0
57,844
No
output
1
28,922
0
57,845
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the following format: s t Output Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted. Examples Input axyb abyxb Output axb Input aa xayaz Output aa Input a z Output Input abracadabra avadakedavra Output aaadara Submitted Solution: ``` s = input() t = input() n, m = len(s), len(t) dpString = [[""]*(m+1) for _ in range(n+1)] dpNum = [[0]*(m+1) for _ in range(n+1)] for i in range(n): for j in range(m): if s[i] == t[j]: dpString[i+1][j+1] = dpString[i][j] + s[i] dpNum[i+1][j+1] = dpNum[i][j] + 1 else: if dpNum[i+1][j] >= dpNum[i][j+1]: dpString[i+1][j+1] = dpString[i+1][j] dpNum[i+1][j+1] = dpNum[i+1][j] else: dpString[i+1][j+1] = dpString[i][j+1] dpNum[i+1][j+1] = dpNum[i][j+1] print(dpString[n][m]) ```
instruction
0
28,923
0
57,846
No
output
1
28,923
0
57,847
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,940
0
57,880
"Correct Solution: ``` a = list(map(lambda x: ord(x)-ord("a"), list(input()))) n = len(a) m = 26 b = [1]*(n+1) prev = [n]*m G = [[] for i in range(n+1)] for i in reversed(range(n)): ai = a[i] tmp = min(b[j] for j in prev) for j in prev: G[i].append(j) b[i] = tmp+1 prev[ai] = i cnt = min(b[j] for j in prev) edge = prev ans = [] for _ in range(cnt): for i, to in enumerate(edge): if b[to] == cnt-_: ans.append(chr(ord("a")+i)) edge = G[to] break print("".join(ans)) ```
output
1
28,940
0
57,881
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,941
0
57,882
"Correct Solution: ``` # coding: utf-8 # Your code here! import sys read = sys.stdin.read readline = sys.stdin.readline #n, = map(int,readline().split()) s = input() def next_index(N,s): D = [-1]*26 E = [None]*(N+1) cA = ord('a') for i in range(N-1, -1, -1): E[i+1] = D[:] D[ord(s[i])-cA] = i E[0] = D return E n = len(s) nxt = next_index(n,s) """ for i in nxt: print(i[:4]) """ #print(nxt) dp = [0]*(n+1) for i in range(n-1,-1,-1): idx = max(nxt[i]) bad = min(nxt[i]) dp[i] = dp[idx+1]+1 if bad != -1 else 0 #print(nxt[0]) #print(dp) k = dp[0]+1 ans = [None]*k v = 0 for i in range(k): #print(v) if v==n: ans[-1] = 0 break for j in range(26): #print(nxt[v+1][j], dp[nxt[v+1][j]]) if nxt[v][j]==-1 or dp[nxt[v][j] + 1] < dp[v]: ans[i] = j v = nxt[v][j]+1 break #print(ans) def f(x): return chr(x+ord("a")) a = "".join(map(f,ans)) print(a) """ x = [chr(ord("z")-i) for i in range(26)] x = "".join(x) print(x) """ ```
output
1
28,941
0
57,883
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,942
0
57,884
"Correct Solution: ``` S=input() N=len(S) a=ord('a') alpha=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z'] K=[[N]*(N+1) for i in range(26)] for i in range(N-1,-1,-1): x=ord(S[i])-a for j in range(26): if j==x: K[j][i]=i continue K[j][i]=K[j][i+1] dp=[0]*(N+2) L=[0]*(N+2) dp[N]=1 for i in range(N-1,-1,-1): c=0 b=2*N for j in range(26): t=K[j][i] if b>dp[t+1]+1: b=dp[t+1]+1 c=t+1 dp[i]=b L[i]=c X=dp[0] t=0 ans='' while X>1: t=L[t] ans+=S[t-1] X-=1 #print(t,X,ans) for j in range(26): if K[j][t] ==N: ans+=alpha[j] break print(ans) ```
output
1
28,942
0
57,885
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,943
0
57,886
"Correct Solution: ``` from itertools import accumulate S = list(map(ord, input().strip())) N = len(S) atype = set() seg = [0]*N seg[-1] = 1 for i in range(N-1, -1, -1): atype.add(S[i]) if len(atype) == 26: atype = set() seg[i] = 1 inf = 1<<32 idx = [[inf]*N for _ in range(26)] for i in range(N-1, -1, -1): s = S[i] - 97 idx[s][i] = i for s in range(26): for i in range(N-2, -1, -1): idx[s][i] = min(idx[s][i], idx[s][i+1]) seg = list(accumulate(seg[::-1]))[::-1] seg.append(1) L = seg[0] ans = [] cnt = -1 for i in range(L): for c in range(26): k = idx[c][cnt+1] if k == inf: ans.append(97+c) break if seg[k+1] + i + 1 <= L: ans.append(97+c) cnt = k break print(''.join(map(chr, ans))) ```
output
1
28,943
0
57,887
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,944
0
57,888
"Correct Solution: ``` def main(): import sys input = sys.stdin.readline a = list(input())[:-1] #print(a) n = len(a) d = dict() for i in range(26): d[chr(i+97)] = chr(i+97) for i in range(n-1,-1,-1): min_key = 'zz' min_len = 10**9 for e in d: if (min_len == len(d[e]) and min_key > e) or (min_len > len(d[e])): min_key = e min_len = len(d[e]) d[a[i]] = a[i]+d[min_key] res_len = len(d['a']) res_key = 'a' for e in d: if (res_len == len(d[e]) and res_key > e) or (res_len > len(d[e])): res_key = e res_len = len(d[e]) print(d[res_key]) if __name__ =='__main__': main() ```
output
1
28,944
0
57,889
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,945
0
57,890
"Correct Solution: ``` """ Writer: SPD_9X2 https://atcoder.jp/contests/arc081/tasks/arc081_c 1文字がありうるのは、出てない文字があるとき 2文字がありうるのは、全ての文字が1度出たのち、もう一度すべての文字が1度現れてない場合 つまり答えの文字数はこの方法で分かる では辞書順最小のものは? k文字であることがわかっていたとする。 この時、どの文字も最低k-1回出現している 最後の文字は、k回出現してない文字の内、辞書順最小の物 最後から1番目は、k-1回目の出現の後、最後の文字が出ていない者 最後から2番目は、 abcの3文字しかないとする abababababcab →この時、求めるのは、?cで、?はc最後に出現するcよりも前に存在しないk-1文字の辞書順最小 abcabcab →??c →最後の出現するc以前=abcab以前で存在しない2文字 →?cc →abで存在しない1文字 →ccc acbaccbac →結局再帰的に解ける →出現回数が最小の文字のうち、辞書順最小の物を答えの最後の文字から決めていき、その文字が最後の出現したind より前に関して、同じ問題を解く あとはどうやって計算量を削減するか その時点で、どの文字が何度出たか、最後の出現したindexはどこか、を記録して置いて再帰的に解く →方針は合ってる?けど実装してるのが違うよ! 保存しておくのは、全ての文字が何回出揃ったか、とその後どの文字が出ているか。 &各文字が最後にどこで出たか。 あれー? aaaaaabbbbbbc →問題は、必ずしも後ろから最適なのを選んで行けばいいわけではなかったこと →これはあくまで、後ろから見て辞書順最小でしかない…あれまさか? →正解しちゃったー??? """ A = list(input()) A.reverse() alp = "abcdefghijklmnopqrstuvwxyz" alpdic = {} for i in range(26): alpdic[alp[i]] = i allcol = [0] * (len(A)+1) apnum = [ [0] * 26 for i in range(len(A)+1) ] lastap = [ [0] * 26 for i in range(len(A)+1) ] for i in range(len(A)): for j in range(26): apnum[i+1][j] = apnum[i][j] lastap[i+1][j] = lastap[i][j] allcol[i+1] = allcol[i] apnum[i+1][alpdic[A[i]]] |= 1 if 0 not in apnum[i+1]: apnum[i+1] = [0] * 26 allcol[i+1] += 1 lastap[i+1][alpdic[A[i]]] = i+1 anslen = allcol[-1]+1 ans = [] nind = len(A) for i in range(anslen): #print ("".join(A[:nind])) minind = 0 for j in range(26): if apnum[nind][j] == 0: minind = j break ans.append(alp[minind]) nind = lastap[nind][minind]-1 #ans.reverse() print ("".join(ans)) ```
output
1
28,945
0
57,891
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,946
0
57,892
"Correct Solution: ``` a = list(map(lambda x: ord(x)-ord("a"), list(input()))) n = len(a) m = 26 b = [0]*n pos = [[] for i in range(m)] s = set() cnt = 0 for i in reversed(range(n)): b[i] = cnt if a[i] not in s: s.add(a[i]) pos[a[i]].append(i) if len(s) == m: cnt += 1 s = set() for i in range(m): pos[i].sort() k = cnt+1 from bisect import bisect_right ans = [] cur = -1 for i in range(k): for j in range(m): pj = bisect_right(pos[j], cur) if pj == len(pos[j]): ans.append(j) break to = pos[j][pj] if b[to] != k-i-1: cur = to ans.append(j) break ans = "".join(chr(ord("a")+i) for i in ans) print(ans) ```
output
1
28,946
0
57,893
Provide a correct Python 3 solution for this coding contest problem. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca
instruction
0
28,947
0
57,894
"Correct Solution: ``` from collections import deque alpha = "abcdefghijklmnopqrstuvwxyz" A = input() n = len(A) B = ord('a') links = [None]*(n+3) link = [n]*26 for i in range(n-1, -1, -1): links[i] = link[:] link[ord(A[i]) - B] = i links[-1] = link deq = deque() deq.append(-1) prev = {-1: (None, 0)} while deq: v = deq.popleft() if v == n: break link = links[v] for c in range(26): if link[c] in prev: continue prev[link[c]] = (v, c) deq.append(link[c]) v = n ans = [] while v is not None: v, c = prev[v] ans.append(chr(c+B)) ans.reverse() print("".join(ans[1:])) ```
output
1
28,947
0
57,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` from string import ascii_lowercase from bisect import bisect def solve(s): pos = [[] for _ in range(26)] offset = ord('a') for i, c in enumerate(s): c = ord(c) - offset pos[c].append(i) for l in pos: l.append(len(s)) all_char_sequence_start_pos = [] pos_i = [len(l) - 1 for l in pos] while all(pi >= 0 for pi in pos_i): i = min(l[pi] for pi, l in zip(pos_i, pos)) all_char_sequence_start_pos.append(i) for j in range(26): while pos_i[j] >= 0 and pos[j][pos_i[j]] >= i: pos_i[j] -= 1 all_char_sequence_start_pos.reverse() ans = [] curr = -1 for i in all_char_sequence_start_pos: for c in range(26): cj = bisect(pos[c], curr) j = pos[c][cj] if j >= i: ans.append(c) curr = j break return ''.join(chr(c + offset) for c in ans) print(solve(input().strip())) ```
instruction
0
28,948
0
57,896
Yes
output
1
28,948
0
57,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 gosa = 1.0 / 10**10 mod = 10**9+7 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def main(): a = S() l = len(a) t = {} for c in string.ascii_lowercase: t[c] = l b = [(1,0,0) for _ in range(l)] b.append((1,'a',l)) b.append((0,'',l+1)) for c,i in reversed(list(zip(a,range(l)))): t[c] = i b[i] = min([(b[t[d]+1][0] + 1,d,t[d]+1) for d in string.ascii_lowercase]) r = '' i = 0 while i < l: r += b[i][1] i = b[i][2] return r print(main()) ```
instruction
0
28,949
0
57,898
Yes
output
1
28,949
0
57,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` import sys sys.setrecursionlimit(2147483647) INF = float("inf") MOD = 10**9 + 7 # 998244353 input = lambda:sys.stdin.readline().rstrip() def resolve(): S = list(map(lambda c : ord(c) - ord('a'), input())) n = len(S) sigma = 26 # next[i][c] : i 文字目以降で c が現れる最小の index next = [[-1] * sigma for _ in range(n + 1)] for i in range(n - 1, -1, -1): for c in range(sigma): next[i][c] = i if S[i] == c else next[i + 1][c] # dp[i] : S[i:] に対する答えの長さ dp = [INF] * (n + 1) dp[n] = 1 # character[i] : S[i:] に対する答えに対して採用する先頭の文字 character = [None] * (n + 1) character[n] = 0 for i in range(n - 1, -1, -1): for c in range(sigma): length = 1 if next[i][c] == -1 else 1 + dp[next[i][c] + 1] if dp[i] > length: dp[i] = length character[i] = c # 経路復元 res = [] now = 0 while 1: res.append(character[now]) now = next[now][character[now]] + 1 if now == 0: break res = ''.join(map(lambda x : chr(x + ord('a')), res)) print(res) resolve() ```
instruction
0
28,950
0
57,900
Yes
output
1
28,950
0
57,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` #!/usr/bin/env python3 def main(): A = input() n = len(A) next_i = [] ct = [n] * 26 orda = ord("a") for i in range(n - 1, -1, -1): ct[ord(A[i]) - orda] = i next_i.append(ct.copy()) next_i.reverse() dp = [0] * (n + 1) dp[n] = 1 j = -1 for i in range(n - 1, -1, -1): ct = next_i[i] if max(ct) < n: j = i break else: dp[i] = 1 if j == -1: ct = next_i[0] for c in range(26): if ct[c] == n: print(chr(orda + c)) return rt = [0] * n for i in range(j, -1, -1): ct = next_i[i] min_c = 0 min_v = dp[ct[0] + 1] for c in range(1, 26): v = dp[ct[c] + 1] if v < min_v: min_c = c min_v = v rt[i] = min_c dp[i] = min_v + 1 r = '' i = 0 while i < n: if dp[i] == 1: for c in range(26): if not chr(orda + c) in A[i:]: r += chr(orda + c) break break r += chr(orda + rt[i]) i = next_i[i][rt[i]] + 1 print(r) if __name__ == '__main__': main() ```
instruction
0
28,951
0
57,902
Yes
output
1
28,951
0
57,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` A=str(input()) memo=[] count=0 ans="" index=[] for i in range(0,len(A)): target=A[len(A)-1-i] if(target not in memo): memo.append(target) count+=1 if(count==26): count=0 memo=[] index.append(len(A)-1-i) for i in "abcdefghijklmnopqrstuvwxyz": if(i not in memo): ans+=i break num=0 index=index[::-1] a=0 b=0 for j in range(0,len(index)-1): a=index[j] b=index[j+1] print(a,b) target=A[a:b] num=target.find(ans[j]) for i in "abcdefghijklmnopqrstuvwxyz": if(i not in target[num:]): ans+=i break target=A[index[len(index)-1]:] num=target.find(ans[len(index)-1]) for i in "abcdefghijklmnopqrstuvwxyz": if(i not in target[num:]): ans+=i break ans+="\n" print(ans) ```
instruction
0
28,952
0
57,904
No
output
1
28,952
0
57,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` def minsbset(str, n): if len(str) < n or n == 0: return "" return minsbset() str = input() n = len(str) atoz = "abcdefghijklmnopqrstuvwxyz" ret = "" subsets1 = set() subsets1.update(str) if len(subsets1) < 26: for i in range(26): if atoz[i] not in subsets1: ret = atoz[i] break else: subsets2 = set() for i1 in range(n): for i2 in range(i1+1,n): subsets2.add(str[i1] + str[i2]) if len(subsets2) < 26*26: for i1 in range(26): for i2 in range(26): cand = atoz[i1] + atoz[i2] if cand not in subsets2: ret = cand break if ret != "": break else: subsets3 = set() for i1 in range(n): for i2 in range(i1 + 1, n): for i3 in range(i2 + 1, n): subsets3.add(str[i1] + str[i2] + str[i3]) if len(subsets3) < 26 * 26 * 26: for i1 in range(26): for i2 in range(26): for i3 in range(26): cand = atoz[i1] + atoz[i2] + atoz[i3] if cand not in subsets3: ret = cand break if ret != "": break if ret != "": break else: subsets4 = set() for i1 in range(n): for i2 in range(i1 + 1, n): for i3 in range(i2 + 1, n): for i4 in range(i3 + 1, n): subsets4.add(str[i1] + str[i2] + str[i3] + str[i4]) for i1 in range(26): for i2 in range(26): for i3 in range(26): for i4 in range(26): cand = atoz[i1] + atoz[i2] + atoz[i3] + atoz[i4] if cand not in subsets4: ret = cand break if ret != "": break if ret != "": break if ret != "": break print(ret) ```
instruction
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28,953
0
57,906
No
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` import bisect s = input() n = len(s) dp = [[0 for i in range(26)] for j in range(n+1)] flg = [0]*26 prt = [] for i in range(n-1,-1,-1): x = ord(s[i])-97 for j in range(26): if j == x: dp[i][j] = n-i flg[x] = 1 else: dp[i][j] = dp[i+1][j] if flg.count(1) == 26: prt.append(i) flg = [0]*26 ind = 0 ans = [] if not prt: for i in range(26): if dp[0][i] == 0: print(chr(i+97)) exit() prt = prt[::-1] for i in range(26): if dp[prt[0]] != dp[0]: ans.append(i) break else: ans.append(0) pnt = prt[0] while True: c = ans[-1] pnt = n-dp[pnt][c] prtp = bisect.bisect_right(prt,pnt) if prtp == len(prt): for i in range(26): if dp[pnt][i] == dp[-1][i]: ans.append(i) break else: ans.append(0) for od in ans: print(chr(od+97),end="") break npnt = prt[prtp] for i in range(26): if dp[pnt][i] == dp[npnt][i]: ans.append(i) break else: ans.append(0) pnt = npnt ```
instruction
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28,954
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No
output
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not. You are given a string A consisting of lowercase English letters. Find the shortest string among the strings consisting of lowercase English letters that are not subsequences of A. If there are more than one such string, find the lexicographically smallest one among them. Constraints * 1 \leq |A| \leq 2 \times 10^5 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A. Examples Input atcoderregularcontest Output b Input abcdefghijklmnopqrstuvwxyz Output aa Input frqnvhydscshfcgdemurlfrutcpzhopfotpifgepnqjxupnskapziurswqazdwnwbgdhyktfyhqqxpoidfhjdakoxraiedxskywuepzfniuyskxiyjpjlxuqnfgmnjcvtlpnclfkpervxmdbvrbrdn Output aca Submitted Solution: ``` import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(max(1000, 10**9)) write = lambda x: sys.stdout.write(x+"\n") a = input() n = len(a) s = set() l = [] i = n-1 prv = n for c in a[::-1]: s.add(c) if len(s)==26: s = set() l.append((i,prv)) prv = i i -= 1 def sub(i,j): """[i,j)に含まれない文字のうちの最小 """ # print(i,j) al = set([chr(v) for v in range(ord("a"), ord("z")+1)]) for ind in range(i,j): al.discard(a[ind]) return min(al) if prv!=0: ans = [] c = sub(0,prv) ans.append(c) while l: i,j = l.pop() for ind in range(i,n): if a[ind]==c: break c = sub(ind+1,j) ans.append(c) ans = "".join(ans) else: ans = "a" * (len(l)+1) print(ans) ```
instruction
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28,955
0
57,910
No
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob are playing a game on strings. Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game. Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses. Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead. Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally. Input The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with. The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze. Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s. Output For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively. Examples Input aaab 2 1 2 1 4 Output Alice Bob Input aaccbdb 2 5 7 1 7 Output Alice Alice Note In the first example, 1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move. 2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move. In the second example Alice wins both game "bdb" and "aaccbdb". To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move. To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. Submitted Solution: ``` def del_near(s): del_s='' for i in range(len(s)-1): if s[i]!=s[i+1]: del_s=del_s+s[i] elif i == len(s)-2 and s[i]==s[i+1]: del_s=del_s+s[i] return len(del_s) s=input() m=int(input()) for i in range(m): l,r=map(int,input().split()) subs=s[l-1:r] if del_near(subs)%2==0: print('Alice') else: print('Bob') ```
instruction
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29,115
0
58,230
No
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob are playing a game on strings. Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game. Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses. Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead. Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally. Input The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with. The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze. Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s. Output For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively. Examples Input aaab 2 1 2 1 4 Output Alice Bob Input aaccbdb 2 5 7 1 7 Output Alice Alice Note In the first example, 1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move. 2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move. In the second example Alice wins both game "bdb" and "aaccbdb". To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move. To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. Submitted Solution: ``` def del_near(s): del_s='' for i in range(len(s)-1): if s[i]!=s[i+1]: del_s=del_s+s[i] return len(del_s) s=input() m=int(input()) for i in range(m): l,r=map(int,input().split()) subs=s[l-1:r] if del_near(subs)%2==0: print('Alice') else: print('Bob') ```
instruction
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29,116
0
58,232
No
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob are playing a game on strings. Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game. Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses. Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead. Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally. Input The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with. The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze. Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s. Output For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively. Examples Input aaab 2 1 2 1 4 Output Alice Bob Input aaccbdb 2 5 7 1 7 Output Alice Alice Note In the first example, 1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move. 2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move. In the second example Alice wins both game "bdb" and "aaccbdb". To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move. To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. Submitted Solution: ``` n=input() print('Alice') if n=='aaab': print('Bob') else: print('Alice') ```
instruction
0
29,117
0
58,234
No
output
1
29,117
0
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob are playing a game on strings. Initially, they have some string t. In one move the first player selects the character c present in t and erases all it's occurrences in t, thus splitting t into many smaller strings. The game then goes independently with each of the strings — to make the move player selects one of the strings and one of the characters there, deletes all occurrences and adds the remaining string back to the game. Alice always starts the game, and then Alice and Bob take turns making moves. The player who is unable to make a move (because there is no string left) loses. Alice and Bob used to always start with a string s, but recently they found out that this became too boring. Now before each game they choose two integers l and r such that 1 ≤ l ≤ r ≤ |s| and play the game with the string s_{l} s_{l+1} s_{l+2} … s_{r} instead. Given the string s and integers l, r for each game. Find who is going to win each game assuming they are smart and are playing optimally. Input The first line contains the string s (1 ≤ |s| ≤ 10^5) consisting of lowercase English letters. This is the string Alice and Bob used to start with. The second line contains a single integer m (1 ≤ m ≤ 10^5) — the number of games to analyze. Each of the next m lines contains two integers l and r (1 ≤ l ≤ r ≤ |s|) — the bounds of the starting substring in the string s. Output For each game output a single line containing the name of the winner — "Alice" or "Bob" respectively. Examples Input aaab 2 1 2 1 4 Output Alice Bob Input aaccbdb 2 5 7 1 7 Output Alice Alice Note In the first example, 1. In the first game the string "aa" is selected. Alice deletes character 'a' and Bob is unable to move. 2. In the second game the string "aaab" is selected. No matter what character Alice will delete, Bob deletes the other one and Alice is unable to move. In the second example Alice wins both game "bdb" and "aaccbdb". To win game "bdb" Alice can erase symbol 'd', the game then goes independently on strings "b" and "b". Bob deletes one of this strings and the Alice deletes the other one and Bob is unable to move. To win game "aaccbdb" Alice can erase symbol 'd', the game then goes independently on strings "aaccb" and "b". It is possible to show, that no matter what are the moves, the remaining game can only finish in exactly 4 moves, so the Bob will be unable to move after that. Submitted Solution: ``` def del_near(s): del_s='' for i in range(len(s)-1): if s[i]!=s[i+1]: del_s=del_s+s[i] elif i>0 and i == len(s)-2 and s[i]==s[-1]: del_s=del_s+s[i] return len(del_s) s=input() m=int(input()) for i in range(m): l,r=map(int,input().split()) subs=s[l-1:r] if del_near(subs)%2==0: print('Alice') else: print('Bob') ```
instruction
0
29,118
0
58,236
No
output
1
29,118
0
58,237
Provide tags and a correct Python 3 solution for this coding contest problem. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend
instruction
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29,220
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Tags: binary search, dp, hashing, string suffix structures, strings Correct Solution: ``` from sys import stdin,stdout,stderr def lcp(string): l=len(string) lis=[0]*l j=1 k=0 while j<l: if string[j]==string[k]: lis[j]=k+1 j+=1 k+=1 elif k>0: k=lis[k-1] else :j+=1 return lis string=input() lis=lcp(string) if lis[-1]==0: print("Just a legend") exit() for i in range(len(string)-1): if lis[i]!=0 and lis[i]==lis[-1]: print(string[:lis[-1]]) exit() l=lis[-1] if l==0: print("Just a legend") exit() l=lis[lis[-1]-1] if l: print(string[:l]) exit() print("Just a legend") ```
output
1
29,220
0
58,441
Provide tags and a correct Python 3 solution for this coding contest problem. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend
instruction
0
29,222
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Tags: binary search, dp, hashing, string suffix structures, strings Correct Solution: ``` ## necessary imports import sys input = sys.stdin.readline # from math import * # swap_array function def swaparr(arr, a,b): temp = arr[a]; arr[a] = arr[b]; arr[b] = temp ## gcd function def gcd(a,b): if a == 0: return b return gcd(b%a, a) ## nCr function efficient using Binomial Cofficient def nCr(n, k): if(k > n - k): k = n - k res = 1 for i in range(k): res = res * (n - i) res = res / (i + 1) return res ## upper bound function code -- such that e in a[:i] e < x; def upper_bound(a, x, lo=0): hi = len(a) while lo < hi: mid = (lo+hi)//2 if a[mid] < x: lo = mid+1 else: hi = mid return lo ## prime factorization def primefs(n): ## if n == 1 ## calculating primes primes = {} while(n%2 == 0): primes[2] = primes.get(2, 0) + 1 n = n//2 for i in range(3, int(n**0.5)+2, 2): while(n%i == 0): primes[i] = primes.get(i, 0) + 1 n = n//i if n > 2: primes[n] = primes.get(n, 0) + 1 ## prime factoriazation of n is stored in dictionary ## primes and can be accesed. O(sqrt n) return primes ## MODULAR EXPONENTIATION FUNCTION def power(x, y, p): res = 1 x = x % p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : res = (res * x) % p y = y >> 1 x = (x * x) % p return res ## DISJOINT SET UNINON FUNCTIONS def swap(a,b): temp = a a = b b = temp return a,b # find function with path compression included (recursive) # def find(x, link): # if link[x] == x: # return x # link[x] = find(link[x], link); # return link[x]; # find function with path compression (ITERATIVE) def find(x, link): p = x; while( p != link[p]): p = link[p]; while( x != p): nex = link[x]; link[x] = p; x = nex; return p; # the union function which makes union(x,y) # of two nodes x and y def union(x, y, link, size): x = find(x, link) y = find(y, link) if size[x] < size[y]: x,y = swap(x,y) if x != y: size[x] += size[y] link[y] = x ## returns an array of boolean if primes or not USING SIEVE OF ERATOSTHANES def sieve(n): prime = [True for i in range(n+1)] p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * p, n+1, p): prime[i] = False p += 1 return prime #### PRIME FACTORIZATION IN O(log n) using Sieve #### MAXN = int(1e6 + 5) def spf_sieve(): spf[1] = 1; for i in range(2, MAXN): spf[i] = i; for i in range(4, MAXN, 2): spf[i] = 2; for i in range(3, ceil(MAXN ** 0.5), 2): if spf[i] == i: for j in range(i*i, MAXN, i): if spf[j] == j: spf[j] = i; ## function for storing smallest prime factors (spf) in the array ################## un-comment below 2 lines when using factorization ################# # spf = [0 for i in range(MAXN)] # spf_sieve() def factoriazation(x): ret = {}; while x != 1: ret[spf[x]] = ret.get(spf[x], 0) + 1; x = x//spf[x] return ret ## this function is useful for multiple queries only, o/w use ## primefs function above. complexity O(log n) ## taking integer array input def int_array(): return list(map(int, input().strip().split())) ## taking string array input def str_array(): return input().strip().split(); #defining a couple constants MOD = int(1e9)+7; CMOD = 998244353; INF = float('inf'); NINF = -float('inf'); ################### ---------------- TEMPLATE ENDS HERE ---------------- ################### def ComputeLPSArray(pat): M = len(pat); lps = [0]*M; length = 0; i = 1; ## lps[0] is already 0, so no need of lps[0] = 0; while( i < M ): if (pat[i] == pat[length]): lps[i] = length + 1; length += 1; i += 1; else: if length != 0: length = lps[length - 1]; else: lps[i] = 0; i += 1; return lps; string = input().strip(); # string = 'aaaaabaaaa'; lps = ComputeLPSArray(string); x = lps[ lps[-1] - 1 ]; if x <= 0: x = -1; k = lps[-1]; if lps.count(k) > 1 and k > 0: pass; else: k = -1; k = max(x, k); if k > 0: print(string[:k]); else: print('Just a legend'); ```
output
1
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Provide tags and a correct Python 3 solution for this coding contest problem. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend
instruction
0
29,223
0
58,446
Tags: binary search, dp, hashing, string suffix structures, strings Correct Solution: ``` P=input() m = len(P) f=[0]*m j=1 k=0 while j<m: if P[j]==P[k]: f[j]=k+1 j+=1 k+=1 elif k>0: k=f[k-1] else: j+=1 l=f.pop() if l: if l in f: print(P[:l]) elif f[l-1]: print(P[:f[l-1]]) else: print('Just a legend') else: print('Just a legend') ```
output
1
29,223
0
58,447
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` s = input() n = len(s) p = [0] * (n + 1) i =0 j = 1 while j < n: if s[j] == s[i]: j += 1 i += 1 p[j] = i elif i: i = p[i] else: j += 1 a = p.pop() b = p[a] if (a) and (a in p): print(s[:a]) elif (b): print(s[:b]) else: print('Just a legend') ```
instruction
0
29,227
0
58,454
Yes
output
1
29,227
0
58,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` from typing import Tuple def comp_z(s: str) -> Tuple[int]: """Computes the z-array for a given string s. z[i] := the length of the longest substring of s, starting at index i, which is also a prefix of s. 0 <= i < len(s); z[0] = len(s). """ n = len(s) z = [0] * n z[0] = n # left and right boundaries of the current right most z-box [L,R) L, R = 0, 0 for i in range(1, n): if i >= R: L = i R = i while R < n and s[R] == s[R-L]: R += 1 z[i] = R-L else: # L < i < R # len of [i,R) x = R-i if x > z[i-L]: z[i] = z[i-L] else: # x <= z[i-L] and we know s[i..R) matches prefix L = i # continue matching from R onwards while R < n and s[R] == s[R-L]: R += 1 z[i] = R-L return tuple(z) def run(): """Solves https://codeforces.com/contest/126/problem/B.""" s = input() n = len(s) z = comp_z(s) maxz = 0 res = 0 for i in range(1, n): if z[i] == n-i and maxz >= n-i: res = n-i # break as we already found the longest one; # as i increases, the length decreases break maxz = max(maxz, z[i]) if res == 0: print('Just a legend') else: print(s[:res]) if __name__ == "__main__": run() ```
instruction
0
29,228
0
58,456
Yes
output
1
29,228
0
58,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` #!/usr/bin/env python3 # created : 2020. 12. 31. 23:59 import os from sys import stdin, stdout def getPrefixFunction(w): m = len(w) pf = [0 for i in range(m)] j = 0 for i in range(1, m): while j > 0 and w[i] != w[j]: j = pf[j-1] if w[i] == w[j]: j += 1 pf[i] = j return pf def solve(tc): s = stdin.readline().strip() n = len(s) pf = getPrefixFunction(s) if pf[n-1] == 0: print("Just a legend") return for i in range(1, n-1): if pf[i] == pf[n-1]: print(s[:pf[n-1]]) return k = pf[pf[n-1]-1] if k > 0: print(s[:k]) return print("Just a legend") tcs = 1 # tcs = int(stdin.readline().strip()) tc = 1 while tc <= tcs: solve(tc) tc += 1 ```
instruction
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29,229
0
58,458
Yes
output
1
29,229
0
58,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` def knuthMorrisonPreprocess(pattern , m ): fail = [0]*m i = 0 j= 1 fail[0]=0 while(j < m ): if pattern[i] == pattern[j]: fail[j]= i+1 i+=1 j+=1 elif i > 0: i = fail[i-1] else: j+=1 return fail string = input() n = len(string) properPrefixArrayL = knuthMorrisonPreprocess(string , n ) properPrefixArray =properPrefixArrayL[-1] if properPrefixArray == 0: print("Just a legend") quit() for i in range(0,n-1): if properPrefixArrayL[i] == properPrefixArrayL[n-1]: print(string[0:properPrefixArrayL[i]]) quit() if properPrefixArrayL[properPrefixArrayL[n-1]-1] == 0: print("Just a legend") else: print(string[0:properPrefixArrayL[properPrefixArrayL[n-1]-1]]) ```
instruction
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29,230
0
58,460
Yes
output
1
29,230
0
58,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` from collections import Counter ''' def fun(s): a=Counter(s) n=[] for i in range(len(s)): if s[i] not in a: break else: if a[s[i]]<3: break else: n.append(s[i]) a[s[i]]=a[s[i]]-1 if a[s[i]]<=1: break if len(n)>0: ns="".join(n) j=ns sf=s[len(s)-len(ns):] if(j==sf): return ns else: return "Just a legend" else: return "Just a legend" ''' def au(s): p=len(s) for l in reversed(range(0,p)): two= s[l:].find(s[0:l]) if two>0: #print("-->"+s[0:l]) rel=l+two #print(rel) tree=s[rel+len(s[0:l]):].find(s[0:l]) rel2=(tree+rel+len(s[0:l])) if tree>0: break if rel2!=rel and rel!=0: return s[0:l] else: return "Just a legend" if __name__ == '__main__': s=str(input()) print(au(s)) ```
instruction
0
29,231
0
58,462
No
output
1
29,231
0
58,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` #code import sys import math as mt #input=sys.stdin.buffer.readline #t=int(input()) #tot=0 t=1 def getZarr(string, z): n = len(string) # [L,R] make a window which matches # with prefix of s l, r, k = 0, 0, 0 for i in range(1, n): # if i>R nothing matches so we will calculate. # Z[i] using naive way. if i > r: l, r = i, i # R-L = 0 in starting, so it will start # checking from 0'th index. For example, # for "ababab" and i = 1, the value of R # remains 0 and Z[i] becomes 0. For string # "aaaaaa" and i = 1, Z[i] and R become 5 while r < n and string[r - l] == string[r]: r += 1 z[i] = r - l r -= 1 else: # k = i-L so k corresponds to number which # matches in [L,R] interval. k = i - l # if Z[k] is less than remaining interval # then Z[i] will be equal to Z[k]. # For example, str = "ababab", i = 3, R = 5 # and L = 2 if z[k] < r - i + 1: z[i] = z[k] # For example str = "aaaaaa" and i = 2, # R is 5, L is 0 else: # else start from R and check manually l = i while r < n and string[r - l] == string[r]: r += 1 z[i] = r - l r -= 1 for __ in range(t): #n=int(input()) #l=list(map(int,input().split())) #n,m=map(int,input().split()) #l=list(map(int,input().split())) s=input() z=[0]*(len(s)+1) d={} n=len(s) getZarr(s, z) #print(z) d=[] maxm=-1 for i in range(len(s)): if i+z[i]!=n : maxm=max(maxm,z[i]) else: d.append(z[i]) maxi=-1 d.sort() for i in range(len(s)): if i+z[i]==n: maxi=max(maxi,maxm) if d[-1]!=z[i]: maxi=max(maxi,z[i]) if maxi>0: print(s[:maxi]) else: print("Just a legend") ```
instruction
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29,232
0
58,464
No
output
1
29,232
0
58,465
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` ## necessary imports import sys input = sys.stdin.readline from math import log2, log, ceil # swap_array function def swaparr(arr, a,b): temp = arr[a]; arr[a] = arr[b]; arr[b] = temp ## gcd function def gcd(a,b): if a == 0: return b return gcd(b%a, a) ## nCr function efficient using Binomial Cofficient def nCr(n, k): if(k > n - k): k = n - k res = 1 for i in range(k): res = res * (n - i) res = res / (i + 1) return res ## upper bound function code -- such that e in a[:i] e < x; def upper_bound(a, x, lo=0): hi = len(a) while lo < hi: mid = (lo+hi)//2 if a[mid] < x: lo = mid+1 else: hi = mid return lo ## prime factorization def primefs(n): ## if n == 1 ## calculating primes primes = {} while(n%2 == 0): primes[2] = primes.get(2, 0) + 1 n = n//2 for i in range(3, int(n**0.5)+2, 2): while(n%i == 0): primes[i] = primes.get(i, 0) + 1 n = n//i if n > 2: primes[n] = primes.get(n, 0) + 1 ## prime factoriazation of n is stored in dictionary ## primes and can be accesed. O(sqrt n) return primes ## MODULAR EXPONENTIATION FUNCTION def power(x, y, p): res = 1 x = x % p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : res = (res * x) % p y = y >> 1 x = (x * x) % p return res ## DISJOINT SET UNINON FUNCTIONS def swap(a,b): temp = a a = b b = temp return a,b # find function with path compression included (recursive) # def find(x, link): # if link[x] == x: # return x # link[x] = find(link[x], link); # return link[x]; # find function with path compression (ITERATIVE) def find(x, link): p = x; while( p != link[p]): p = link[p]; while( x != p): nex = link[x]; link[x] = p; x = nex; return p; # the union function which makes union(x,y) # of two nodes x and y def union(x, y, link, size): x = find(x, link) y = find(y, link) if size[x] < size[y]: x,y = swap(x,y) if x != y: size[x] += size[y] link[y] = x ## returns an array of boolean if primes or not USING SIEVE OF ERATOSTHANES def sieve(n): prime = [True for i in range(n+1)] p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * p, n+1, p): prime[i] = False p += 1 return prime #### PRIME FACTORIZATION IN O(log n) using Sieve #### MAXN = int(1e6 + 5) def spf_sieve(): spf[1] = 1; for i in range(2, MAXN): spf[i] = i; for i in range(4, MAXN, 2): spf[i] = 2; for i in range(3, ceil(MAXN ** 0.5), 2): if spf[i] == i: for j in range(i*i, MAXN, i): if spf[j] == j: spf[j] = i; ## function for storing smallest prime factors (spf) in the array ################## un-comment below 2 lines when using factorization ################# spf = [0 for i in range(MAXN)] spf_sieve() def factoriazation(x): ret = {}; while x != 1: ret[spf[x]] = ret.get(spf[x], 0) + 1; x = x//spf[x] return ret ## this function is useful for multiple queries only, o/w use ## primefs function above. complexity O(log n) ## taking integer array input def int_array(): return list(map(int, input().strip().split())) ## taking string array input def str_array(): return input().strip().split(); #defining a couple constants MOD = int(1e9)+7; CMOD = 998244353; INF = float('inf'); NINF = -float('inf'); ################### ---------------- TEMPLATE ENDS HERE ---------------- ################### def ComputeLPSArray(pat): M = len(pat); lps = [0]*M; length = 0; i = 1; ## lps[0] is already 0, so no need of lps[0] = 0; while( i < M ): if (pat[i] == pat[length]): lps[i] = length + 1; length += 1; i += 1; else: if length != 0: length = lps[length - 1]; else: lps[i] = 0; i += 1; return lps; string = input().strip(); a = ComputeLPSArray(string); k = a[-1]; if k > 0 and a.count(k) > 1: print(string[:k]); else: print("Just a legend"); ```
instruction
0
29,233
0
58,466
No
output
1
29,233
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58,467
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them. A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s. Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end. Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend. Input You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. Output Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes. Examples Input fixprefixsuffix Output fix Input abcdabc Output Just a legend Submitted Solution: ``` s = list(input()) n = len(s) exit = False for i in range(n - 3, -1, -1): #print(s[-1-i:]) #print(s[:i]) if (s[:i + 1] == s[-1-i:]): for j in range(1, n - 2 - i): if (s[:i + 1] == s[j:j + 1 + i]): print(''.join(s[:i + 1])) exit = True break if (exit): break if (not exit): print('Just a legend') ```
instruction
0
29,234
0
58,468
No
output
1
29,234
0
58,469
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,525
0
59,050
Tags: data structures, dp, two pointers Correct Solution: ``` x=list(map(int,input().split())) s=list(input().rstrip()) n=len(s) cx=[0]*(n+1) for i in range(1,n+1): cx[i]=x[ord(s[i-1])-ord("a")] for i in range(1,n+1): cx[i]+=cx[i-1] pos=[{} for i in range(26)] ans=0 for i in range(n): ss=s[i] ans+=pos[ord(ss)-ord("a")].get(cx[i],0) pos[ord(ss)-ord("a")][cx[i+1]]=pos[ord(ss)-ord("a")].get(cx[i+1],0)+1 print(ans) ```
output
1
29,525
0
59,051
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,526
0
59,052
Tags: data structures, dp, two pointers Correct Solution: ``` xx = [int(i) for i in input().split()] s = input() x = [{} for _ in range(0,26)] ss = 0 ans = 0 for i in s: ans += x[ord(i)-97].get(ss,0) ss += xx[ord(i)-97] x[ord(i)-97][ss] = x[ord(i)-97].get(ss,0)+1 print(ans) ```
output
1
29,526
0
59,053
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,527
0
59,054
Tags: data structures, dp, two pointers Correct Solution: ``` #!/usr/bin/env python import os import sys from io import BytesIO, IOBase #from bisect import bisect_left as bl #c++ lowerbound bl(array,element) #from bisect import bisect_right as br #c++ upperbound br(array,element) from collections import * def main(): # sys.stdin = open('input.txt', 'r') # sys.stdout = open('output.txt', 'w') values=list(map(int,input().split(" "))) s=input() dic=defaultdict(lambda:[]) pre=[0 for x in range(len(s)+1)] for x in range(len(s)): pre[x+1]=pre[x]+values[ord(s[x])-ord('a')] dic[s[x]].append(x) ans=0 for x,y in dic.items(): here=defaultdict(lambda:0) for z in y: if pre[z] in here: ans+=here[pre[z]] here[pre[z+1]]+=1 print(ans) #-----------------------------hey angel-------------------------------------! # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main() ```
output
1
29,527
0
59,055
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,528
0
59,056
Tags: data structures, dp, two pointers Correct Solution: ``` w = [int(x) for x in input().split()] c = [{} for i in range(26)] val, s = 0, 0 for i in [ord(ch) - ord('a') for ch in input()]: if s - w[i] in c[i]: val += c[i][s - w[i]] c[i][s] = c[i][s] + 1 if s in c[i] else 1 s += w[i] print(val) ```
output
1
29,528
0
59,057
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,529
0
59,058
Tags: data structures, dp, two pointers Correct Solution: ``` score=[] from collections import * z=list(map(int,input().split())) s=input() for i in range(26): score.append(defaultdict(int)) pre=[] total=0 for i in range(len(s)): s1=z[ord(s[i])-97] t=ord(s[i])-97 if(i==0): pre.append(s1) else: pre.append(pre[-1]+s1) s1=pre[-1] score[t][s1]+=1 if(z[t]==0): total+=max(0,score[t][s1]-1) else: total+=max(0,score[t][s1-z[t]]) print(total) ```
output
1
29,529
0
59,059
Provide tags and a correct Python 3 solution for this coding contest problem. A and B are preparing themselves for programming contests. After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes. A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes). B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one). Also, A and B have a string s. Now they are trying to find out how many substrings t of a string s are interesting to B (that is, t starts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A), except for the first and the last one is equal to zero. Naturally, A and B have quickly found the number of substrings t that are interesting to them. Can you do it? Input The first line contains 26 integers xa, xb, ..., xz ( - 105 ≤ xi ≤ 105) — the value assigned to letters a, b, c, ..., z respectively. The second line contains string s of length between 1 and 105 characters, consisting of Lating lowercase letters— the string for which you need to calculate the answer. Output Print the answer to the problem. Examples Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 xabcab Output 2 Input 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1 aaa Output 2 Note In the first sample test strings satisfying the condition above are abca and bcab. In the second sample test strings satisfying the condition above are two occurences of aa.
instruction
0
29,530
0
59,060
Tags: data structures, dp, two pointers Correct Solution: ``` score=[] from collections import * z=list(map(int,input().split())) s=input() for i in range(26): score.append(defaultdict(int)) pre=[] total=0 for i in range(len(s)): s1=z[ord(s[i])-97] t=ord(s[i])-97 if(i==0): pre.append(s1) else: pre.append(pre[-1]+s1) s1=pre[-1] score[t][s1]+=1 if(z[t]==0): total+=max(0,score[t][s1]-1) else: total+=max(0,score[t][s1-z[t]]) fin=[] count=1 for i in range(1,len(s)): if(s[i]==s[i-1]): count+=1 else: fin.append([count,s[i-1]]) count=1 fin.append([count,s[-1]]) print(total) ```
output
1
29,530
0
59,061