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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kaavi, the mysterious fortune teller, deeply believes that one's fate is inevitable and unavoidable. Of course, she makes her living by predicting others' future. While doing divination, Kaavi believes that magic spells can provide great power for her to see the future. <image> Kaavi has a string T of length m and all the strings with the prefix T are magic spells. Kaavi also has a string S of length n and an empty string A. During the divination, Kaavi needs to perform a sequence of operations. There are two different operations: * Delete the first character of S and add it at the front of A. * Delete the first character of S and add it at the back of A. Kaavi can perform no more than n operations. To finish the divination, she wants to know the number of different operation sequences to make A a magic spell (i.e. with the prefix T). As her assistant, can you help her? The answer might be huge, so Kaavi only needs to know the answer modulo 998 244 353. Two operation sequences are considered different if they are different in length or there exists an i that their i-th operation is different. A substring is a contiguous sequence of characters within a string. A prefix of a string S is a substring of S that occurs at the beginning of S. Input The first line contains a string S of length n (1 ≤ n ≤ 3000). The second line contains a string T of length m (1 ≤ m ≤ n). Both strings contain only lowercase Latin letters. Output The output contains only one integer — the answer modulo 998 244 353. Examples Input abab ba Output 12 Input defineintlonglong signedmain Output 0 Input rotator rotator Output 4 Input cacdcdbbbb bdcaccdbbb Output 24 Note The first test: <image> The red ones are the magic spells. In the first operation, Kaavi can either add the first character "a" at the front or the back of A, although the results are the same, they are considered as different operations. So the answer is 6×2=12. Submitted Solution: ``` import sys sys.setrecursionlimit(10 ** 5) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def MI(): return map(int, sys.stdin.readline().split()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def SI(): return sys.stdin.readline()[:-1] def main(): memo={} def dfs(t): si=len(t)-1 if si==0:return 2 if t in memo:return memo[t] res=0 if t[0]==s[si]:res+=dfs(t[1:]) if t[-1]==s[si]:res+=dfs(t[:-1]) memo[t]=res return res s=SI() t=SI() sn=len(s) tn=len(t) cnts=[0]*26 cntt=[0]*26 for c in s[:tn]:cnts[ord(c)-97]+=1 for c in t:cntt[ord(c)-97]+=1 ans=0 if cnts==cntt: ans+=dfs(t)*(sn-tn+1) rt=t[::-1] cs=[0]*tn for si,c in enumerate(s): for ti in range(tn-1,-1,-1): if c==rt[ti]: if ti>0:cs[ti]+=cs[ti-1] else:cs[ti]+=1 if s[:tn]==rt:cs[-1]-=1 ans+=cs[-1]*(sn-tn+1) print(ans) main() ```
instruction
0
55,763
0
111,526
No
output
1
55,763
0
111,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kaavi, the mysterious fortune teller, deeply believes that one's fate is inevitable and unavoidable. Of course, she makes her living by predicting others' future. While doing divination, Kaavi believes that magic spells can provide great power for her to see the future. <image> Kaavi has a string T of length m and all the strings with the prefix T are magic spells. Kaavi also has a string S of length n and an empty string A. During the divination, Kaavi needs to perform a sequence of operations. There are two different operations: * Delete the first character of S and add it at the front of A. * Delete the first character of S and add it at the back of A. Kaavi can perform no more than n operations. To finish the divination, she wants to know the number of different operation sequences to make A a magic spell (i.e. with the prefix T). As her assistant, can you help her? The answer might be huge, so Kaavi only needs to know the answer modulo 998 244 353. Two operation sequences are considered different if they are different in length or there exists an i that their i-th operation is different. A substring is a contiguous sequence of characters within a string. A prefix of a string S is a substring of S that occurs at the beginning of S. Input The first line contains a string S of length n (1 ≤ n ≤ 3000). The second line contains a string T of length m (1 ≤ m ≤ n). Both strings contain only lowercase Latin letters. Output The output contains only one integer — the answer modulo 998 244 353. Examples Input abab ba Output 12 Input defineintlonglong signedmain Output 0 Input rotator rotator Output 4 Input cacdcdbbbb bdcaccdbbb Output 24 Note The first test: <image> The red ones are the magic spells. In the first operation, Kaavi can either add the first character "a" at the front or the back of A, although the results are the same, they are considered as different operations. So the answer is 6×2=12. Submitted Solution: ``` import sys input = sys.stdin.readline s = input()[:-1] t = input()[:-1] sn = len(s) tn = len(t) MOD = 998244353 # ng pushback dp = [[0] * (tn + 1) for i in range(sn + 1)] dp[0][0] = 1 t = t[::-1] for i in range(sn): for j in range(tn + 1): dp[i + 1][j] += dp[i][j] for j in range(tn)[::-1]: if s[i] == t[j]: dp[i + 1][j + 1] += dp[i][j] dp[i + 1][j + 1] %= MOD else: dp[i + 1][0] += dp[i][j] dp[i + 1][0] %= MOD ans = 0 for i in range(sn + 1): ans += 2 * dp[i][-1] ans %= MOD # ok pushback dp = [[0] * (tn + 1) for i in range(tn + 1)] t = t[::-1] for si in range(tn): for ti in range(tn): if s[si] == t[ti]: if si == 0: dp[si + 1][ti] = 1 else: dp[si + 1][ti] += dp[si][ti + 1] dp[si + 1][ti] %= MOD if ti - si < 0: continue dp[si + 1][ti - si] += dp[si][ti - si] dp[si + 1][ti - si] %= MOD if t[::-1] == s[0:tn]: ans -= 2 print((ans + 2 * dp[-1][0]) % MOD) ```
instruction
0
55,764
0
111,528
No
output
1
55,764
0
111,529
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,897
0
111,794
Tags: brute force, greedy Correct Solution: ``` s = input() quit = False n = len(s)-1; while((not quit) and n): lis = [] for i in range(0, len(s)-n+1): if s[i:i+n] in lis: print(n) quit = True break lis.append(s[i:i+n]) n-=1 if(not quit): print(0) ```
output
1
55,897
0
111,795
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,898
0
111,796
Tags: brute force, greedy Correct Solution: ``` t = input() n = len(t) maxi = 0 for i in range(n): s = t[i] if t.count(s) > 1: maxi = max(maxi, 1) nr = 1 for j in range(i + 1, n): s += t[j] nr += 1 g = 0 for h in range(n - nr + 1): if s == t[h:h + nr]: g += 1 if g > 1: maxi = max(nr,maxi) print(maxi) ```
output
1
55,898
0
111,797
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,899
0
111,798
Tags: brute force, greedy Correct Solution: ``` str=input() m=0 n=len(str) for i in range(n): for j in range(i,n+1) : if str[i:j] in str[i+1:n] and len(str[i:j])>m: m=len(str[i:j]) print(m) ```
output
1
55,899
0
111,799
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,900
0
111,800
Tags: brute force, greedy Correct Solution: ``` import sys import logging logging.root.setLevel(level=logging.DEBUG) import re s = sys.stdin.readline().strip() from collections import defaultdict substr = defaultdict(int) for left in range(len(s)): for right in range(left+1,len(s)+1): substr[s[left:right]] += 1 max_len = 0 for segment,times in substr.items(): if times >= 2: max_len = max(max_len,len(segment)) print(max_len) ```
output
1
55,900
0
111,801
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,901
0
111,802
Tags: brute force, greedy Correct Solution: ``` L=input() m=0 n=len(L) for i in range(n-1): for j in range(i,n+1) : if L[i:j] in L[i+1:n] and len(L[i:j])>m: m=len(L[i:j]) print(m) ```
output
1
55,901
0
111,803
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,902
0
111,804
Tags: brute force, greedy Correct Solution: ``` s = input() leng = 0 for i in range(len(s)): for j in range(i + 1, len(s) + 1): sub = s[i:j] if s.count(sub) >= 2 and len(sub) > leng: leng = len(sub) elif s.count(sub) == 1: for k in range(1, len(sub)): if s[i - k:j - k] == sub and len(sub) > leng: leng = len(sub) print(leng) ```
output
1
55,902
0
111,805
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,903
0
111,806
Tags: brute force, greedy Correct Solution: ``` s=input() n=len(s) done=False for length in range(n-1,0,-1): if(done): break for start in range(n): if(start+length-1>=n): break x=s.count(s[start:start+length]) if(x>1): print(length) done=True break if(x==1): i=s.index(s[start:start+length]) h=s[i+1:].count(s[start:start+length]) if(h>0): print(length) done=True break if(not done): print(0) ```
output
1
55,903
0
111,807
Provide tags and a correct Python 3 solution for this coding contest problem. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2
instruction
0
55,904
0
111,808
Tags: brute force, greedy Correct Solution: ``` inputS=input() ans=0 for i in range (0,len(inputS)-1): for count in range(1,len(inputS)): for j in range(i+1, len(inputS)-count+1): A=inputS[i: i+count] B=inputS[j: j+count] if A==B: ans=count if count>ans else ans print(ans) ```
output
1
55,904
0
111,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` s=input() length=len(s) answer=[ ] for i in range (0,length): for j in range(i+1,length+1): k=s[i:j] co=0 for u in range (0,length): if(s[u:].startswith(k)): co+=1 if(co>=2): #answer=max(answer,len(k)) answer.append(len(k)) if(len(set(s))==length): print('0') else: print(max(answer)) ```
instruction
0
55,905
0
111,810
Yes
output
1
55,905
0
111,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` S = input() best = 0 for i in range(len(S)): for j in range(i+1, len(S)+1): s = S[i:j] c = 0 for k in range(len(S)): if S[k:].startswith(s): c += 1 if c >= 2: best = max(best, len(s)) print(best) ```
instruction
0
55,906
0
111,812
Yes
output
1
55,906
0
111,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` #!/usr/bin/python3 # kkikkkkiii s = input() maxx = 0 a = [0] * len(s) for j in range(len(s)): k = j i = j while i < len(s) - 1: i += 1 if s[i] == s[k]: k += 1 a[i] = k maxx = max(maxx, a[i] - j) continue i -= k - j k = j a = [0] * len(s) print(maxx) ```
instruction
0
55,907
0
111,814
Yes
output
1
55,907
0
111,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` st=input() m=0 n=len(st) for i in range(n): for j in range(i,n+1) : if st[i:j] in st[i+1:n] and len(st[i:j])>m: m=len(st[i:j]) print(m) ```
instruction
0
55,908
0
111,816
Yes
output
1
55,908
0
111,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` ''' s = input() for i in range(len(s)): for k in range(i + 1, len(s)+1, 1): print(s[i:k]) ''' ''' s = input() sLen = len(s) for startInd in range(sLen): for endInd in range(startInd + 1, sLen + 1): print(s[startInd, endInd]) ''' s = input() slen = len(s) ans = 0 for st1 in range(slen - 1): for end1 in range(st1 + 1, slen): end2 = end1 + 1 for st2 in range(st1 + 1, slen): if end2 > slen: if end2 > slen: break sub1 = s[st1:end1] sub2 = s[st2:end2] subLen = len(sub1) if sub1 == sub2 and ans < subLen: ans = subLen print(ans) ```
instruction
0
55,909
0
111,818
No
output
1
55,909
0
111,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` string=input() n=len(string) check=True for sub_len in range(n-1,1,-1): for starting_index in range(n-sub_len+1): if string[starting_index:starting_index+sub_len] in string[starting_index+1:]: print(sub_len) check=False break if check==False: break if check: print(0) ```
instruction
0
55,910
0
111,820
No
output
1
55,910
0
111,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` import sys def countall(string, substring): total = 0 for i in range(len(string)-len(substring)+1): if string[i:i+len(substring)] == substring: total += 1 return total n = input() for i in range(len(n)): for j in range(len(n)-1, i-1, -1): if countall(n, n[i:j+1]) > 1: print(j-i+1) sys.exit() print(0) ```
instruction
0
55,911
0
111,822
No
output
1
55,911
0
111,823
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You're given a string of lower-case Latin letters. Your task is to find the length of its longest substring that can be met in the string at least twice. These occurrences can overlap (see sample test 2). Input The first input line contains the string. It's guaranteed, that the string is non-empty, consists of lower-case Latin letters, and its length doesn't exceed 100. Output Output one number — length of the longest substring that can be met in the string at least twice. Examples Input abcd Output 0 Input ababa Output 3 Input zzz Output 2 Submitted Solution: ``` #length of the longest substring at least twice import re import sys ex = sys.stdin.readline() arr = [] for y in range(len(ex)): for x in range(y,len(ex)): g = ex[:len(ex)-x-1] n = len(re.findall('(?='+g+')',ex)) if (n >= 2): arr.append(len(g)) else: arr.append(0) ex = ex[1:] print(max(arr)) ```
instruction
0
55,912
0
111,824
No
output
1
55,912
0
111,825
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,037
0
112,074
Tags: implementation, strings Correct Solution: ``` import sys s = list(sys.stdin.readline()) m = int(sys.stdin.readline()) for _ in range(m): l, r, k = map(int, sys.stdin.readline().split()) l -= 1 k = k % (r - l) if k: part = s[l:r] s[l:r] = part[-k:] + part[:-k] print("".join(s)) ```
output
1
56,037
0
112,075
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,038
0
112,076
Tags: implementation, strings Correct Solution: ``` s = input() for i in range( int( input() ) ): l, r, k = map(int, input().split() ) l -= 1 r -= 1 k %= r - l + 1 s = s[:l] + s[r - k + 1:r + 1] + s[l:r - k + 1] + s[r + 1:] print(s) ```
output
1
56,038
0
112,077
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,039
0
112,078
Tags: implementation, strings Correct Solution: ``` s = input() m = int(input()) for i in range(m): l,r,k = map(int,input().split()) k %= (r - l + 1) t = s[l-1:r] s = s[:l-1] + t[len(t)-k:] + t[:len(t)-k] + s[r:] print(s) ```
output
1
56,039
0
112,079
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,040
0
112,080
Tags: implementation, strings Correct Solution: ``` import sys input = sys.stdin.readline s = list(input().strip()) m = int(input()) for _ in range(m): l, r, k = map(int, input().split()) l -= 1 r -= 1 k %= r - l + 1 # s[l : r + 1] s = s[:l] + s[r + 1 - k: r + 1] + s[l:r+1-k] + s[r+1:] print(''.join(s)) ```
output
1
56,040
0
112,081
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,041
0
112,082
Tags: implementation, strings Correct Solution: ``` s = list(input()) m = int(input()) for i in range(m): l, r, k = map(int, input().split()) l += -1 r += -1 ln = (r - l + 1) k %= ln tmp = [] for i in s: tmp.append(i) for j in range(l, r + 1): # print(j, k, r) if (j + k) <= r: tmp[j + k] = s[j] else: tmp[l - 1 + j + k - r] = s[j] # print(tmp) for i in range(len(s)): s[i] = tmp[i] # print(tmp) print(*s, sep = '') ```
output
1
56,041
0
112,083
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,042
0
112,084
Tags: implementation, strings Correct Solution: ``` s = input() for n in range(int(input())): l, r, k = map(int, input().split()) l -= 1 r -= 1 if l != r: k = k % (r - l + 1) b = s[l:r + 1] b = b[-k:] + b[:-k] s = s[:l] + b + s[r + 1:] print(s) ```
output
1
56,042
0
112,085
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,043
0
112,086
Tags: implementation, strings Correct Solution: ``` s=list(input()) d=len(s) m=int(input()) for i in range(m): l,r,k=map(int,input().split()) x=k%(r-l+1) if x: pre=s[l-1:r-x] post=s[r-x:r] s[l-1:r]=post+pre print(*s,sep="") ```
output
1
56,043
0
112,087
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement.
instruction
0
56,044
0
112,088
Tags: implementation, strings Correct Solution: ``` s=list(input()) t=int(input()); while(t): t=t-1; l,r,k=map(int,input().split(" ")); a=s[0:l-1]; b=s[l-1:r]; c=s[r:]; x=k%len(b); b=b[len(b)-x:]+b[:len(b)-x] s=a+b+c print("".join(s)) ```
output
1
56,044
0
112,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` s = input().strip() n = int(input()) for i in range(n): f, t, k = map(int, input().split()) l = t - f + 1 f -= 1 k %= l if k != 0: #print(s[:f]) #print(s[t - k:t]) #print(s[f:f + l - k]) #print(s[t:]) s = s[:f] + s[t - k:t] + s[f:f + l - k] + s[t:] #print(s) print(s) ```
instruction
0
56,045
0
112,090
Yes
output
1
56,045
0
112,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` from collections import deque s = input() string = [] for i in range(len(s)): string.append(s[i]) m = int(input()) for i in range(m): l, r, k = map(int, input().split()) l -= 1 r -= 1 k %= (r - l + 1) d = deque() for j in range(l, r + 1): d.append(string[j]) d.rotate(k) for j in range(l, r + 1): string[j] = d[j - l] print(''.join(string)) ```
instruction
0
56,046
0
112,092
Yes
output
1
56,046
0
112,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` if __name__=='__main__': string = list(input()) tests = int(input()) for i in range(tests): l,r,times = map(int,input().split()) l-=1 temp = string[l:r] #check = [i for i in range(len(temp))] #print("temp is ",temp) k = (times-1)%(r-l) for i in range(len(temp)): k +=1 k = k%(r-l) # print("mark-> ",l+k) string[l+k]=temp[i] print(''.join(string)) ```
instruction
0
56,047
0
112,094
Yes
output
1
56,047
0
112,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` s = input() m = int(input()) for i in range(m): l,r,k = [int(c) for c in input().split()] k = k%(r-l+1) s = s[:l-1] + s[r-k:r] + s[l-1:r-k] + s[r:] print(s) ```
instruction
0
56,048
0
112,096
Yes
output
1
56,048
0
112,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` s=list(input()) d=len(s) m=int(input()) for i in range(m): l,r,k=map(int,input().split()) x=k%d if x: pre=s[l-1:r-x] post=s[r-x:r] s[l-1:r]=post+pre print(*s,sep="") ```
instruction
0
56,049
0
112,098
No
output
1
56,049
0
112,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` import sys #read = lambda: sys.stdin.buffer.read().rstrip() input = lambda: sys.stdin.readline().rstrip() #readlines = lambda: sys.stdin.buffer.readlines().rstrip() sys.setrecursionlimit(10**5) from collections import deque def rolling(s, n): t = deque(s) t.rotate(n) return t def solve(): S = list(input()) N = int(input()) print("".join(S)) for _ in range(N): l,r,k = map(int, input().split()) t = rolling(S[l-1:r],k) S[l-1:r] = t print("".join(S)) solve() ```
instruction
0
56,050
0
112,100
No
output
1
56,050
0
112,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` s=list('q'+input()) m=int(input()) for i in range(m): l,r,k=map(int,input().split()) s[l:r+1]=s[r-k+1:r+1]+s[l:r-k+1] print(''.join(s[1:])) ```
instruction
0
56,051
0
112,102
No
output
1
56,051
0
112,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s and should process m queries. Each query is described by two 1-based indices li, ri and integer ki. It means that you should cyclically shift the substring s[li... ri] ki times. The queries should be processed one after another in the order they are given. One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right. For example, if the string s is abacaba and the query is l1 = 3, r1 = 6, k1 = 1 then the answer is abbacaa. If after that we would process the query l2 = 1, r2 = 4, k2 = 2 then we would get the string baabcaa. Input The first line of the input contains the string s (1 ≤ |s| ≤ 10 000) in its initial state, where |s| stands for the length of s. It contains only lowercase English letters. Second line contains a single integer m (1 ≤ m ≤ 300) — the number of queries. The i-th of the next m lines contains three integers li, ri and ki (1 ≤ li ≤ ri ≤ |s|, 1 ≤ ki ≤ 1 000 000) — the description of the i-th query. Output Print the resulting string s after processing all m queries. Examples Input abacaba 2 3 6 1 1 4 2 Output baabcaa Note The sample is described in problem statement. Submitted Solution: ``` #5.5 def ans(s,l,r,k): if(r==len(s)): subR="" # print("bbbbbbb") else: subR=s[r:len(s)] # print("ccccccccc") sub=s[l-1:r] subL=s[0:l-1] L=len(sub) sub=sub+sub sub.replace(" ","") reminder=k%L # print("reminder",reminder) # print("subL",subL) # print("sub",sub) # print("subR",subR) if(reminder!=0): sub=sub[L-reminder:L-reminder+L] s=(subL+sub+subR).replace(" ","") # print(s) return s else: # print(s) return s s=str(input("")) n=int(input("")) for i in range(n): l,r,k=map(int,input().split(" ")) # l=int(input("")) # r=int(input("")) # k=int(input("")) s=ans(s,l,r,k) print(s) ```
instruction
0
56,052
0
112,104
No
output
1
56,052
0
112,105
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,109
0
112,218
Tags: constructive algorithms Correct Solution: ``` n = int(input()) def locos(n): cos = 0 i = 1 while cos + i <= n: cos += i i += 1 return i , cos rtn = '' for i in "abcdefghijklmnopqrstuvwxyz": #print(locos(n)) num , cos = locos(n) #print(num) rtn += i * num n -= cos if(n == 0): break print(rtn) ```
output
1
56,109
0
112,219
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,110
0
112,220
Tags: constructive algorithms Correct Solution: ``` from math import sqrt def readln(): return map(int, input().rstrip().split()) def possible(n): return n * (n + 1) // 2 charset = 'abcdefghijklmnopqrstuvwxyz' ci = 0 n = int(input()) rs = [] while n > 0: for i in range(int(sqrt(n) + 1), 0, -1): if n >= possible(i): n -= possible(i) rs.extend([charset[ci]] * (i + 1)) ci += 1 else: if not rs: rs.append('a') print(''.join(rs)) ```
output
1
56,110
0
112,221
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,111
0
112,222
Tags: constructive algorithms Correct Solution: ``` # http://codeforces.com/contest/849/problem/C import math import string alpha = string.ascii_lowercase k = int(input()) def Sn(n): return (n-1)*(n) // 2 letters = [] if k == 0: letters = [1] else: while k > 0: # find n st n letters have max cost < k det = 8*k + 1 n = int((math.sqrt(det) + 1) // 2) letters.append(n) k -= Sn(n) # print(letters) # print([Sn(n) for n in letters]) res = [] for ll, n in enumerate(letters): ss = "".join([alpha[ll] for nn in range(n)]) res.append(ss) print("".join(res)) ```
output
1
56,111
0
112,223
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,112
0
112,224
Tags: constructive algorithms Correct Solution: ``` k= int(input()) c='a' while ( k != 0): j = 1 while ((j+1)*(j+2) < 2*k): j = j+1 for i in range (0,j+1): print(c,end="") c=chr(ord(c)+1) k=k-((j+1)*(j))/2 print("z") # Made By Mostafa_Khaled ```
output
1
56,112
0
112,225
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,113
0
112,226
Tags: constructive algorithms Correct Solution: ``` k=int(input()) alphabet='abcdefghijklmnopqrstuvwxyz' ans=[] pointer=0 if k==0: ans.append('a') while k>0: curr=2 while curr*(curr+1)<=2*k: curr+=1 for j in range(curr): ans.append(alphabet[pointer]) k-=(curr*(curr-1))//2 pointer+=1 print(''.join(ans)) ```
output
1
56,113
0
112,227
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,114
0
112,228
Tags: constructive algorithms Correct Solution: ``` n = int(input()) lis=[0]*(n+10) for i in range(1,n+5): lis[i]=i+lis[i-1] i=n+1 #print(lis) if n==0: print('a') exit() cc='abcdefghijklmnopqrstuvwxyz';c=0;ans='' while n>0: while n<lis[i]: i-=1 z=min(lis[i],n) n-=z ans+=(cc[c]*(i+1)) c+=1 print(ans) ```
output
1
56,114
0
112,229
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,115
0
112,230
Tags: constructive algorithms Correct Solution: ``` n = int(input()) a = 'abcdefghijklmnopqrstuvwxyz' s = '' i = 0 k = 0 while n: if n - k >= 0: s += a[i] n -= k k += 1 else: i += 1 k = 0 if not s: s = 'a' print(s) ```
output
1
56,115
0
112,231
Provide tags and a correct Python 3 solution for this coding contest problem. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process.
instruction
0
56,116
0
112,232
Tags: constructive algorithms Correct Solution: ``` def f(n): return n * (n + 1) // 2 def rev_f(x): l = 0 r = 450 y = 0 while l + 1 < r: m = (l + r) // 2 y = f(m) if y > x: r = m else: l = m return l n = int(input()) for i in range(0, 26): c = chr(ord('a') + i) q = rev_f(n) n -= f(q) print(c * (q + 1), end = '') if n == 0: break ```
output
1
56,116
0
112,233
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` n = int(input()) cost = [None] * 100001 cost[0] = 0 # def get_cost(k): # global cost # if cost[k] is None: # cost[k] = compute_cost(k) # return cost[k] # def compute_cost(k): # global cost # less = k // 2 # more = k - less # return get_cost(less) + get_cost(more) + less * more # for i in range(50000, len(cost)): # cost[i] = compute_cost(i) for i in range(1, len(cost)): cost[i] = cost[i - 1] + i - 1 def compute_ans(k): global cost i = 0 while cost[i] < k: i += 1 if cost[i] == k: return [i] return [i - 1] + compute_ans(k - cost[i - 1]) s = compute_ans(n) res = '' for i, cnt in zip('abcdefghijklmnopqrstuvwxyz', s): res += i * cnt if not res: res = 'a' print(res) ```
instruction
0
56,117
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112,234
Yes
output
1
56,117
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112,235
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` n=int(input()) a=[] b='z' c="abcdefghijklmnopqrstuvwxyz" l=0 for i in range(500): a.append(i*(i+1)/2) for i in range(499,0,-1): while(n>=a[i]): b+=c[l]*(i+1) l+=1 n-=a[i] print(b) ```
instruction
0
56,118
0
112,236
Yes
output
1
56,118
0
112,237
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` k= int(input()) c='a' while ( k != 0): j = 1 while ((j+1)*(j+2) < 2*k): j = j+1 for i in range (0,j+1): print(c,end="") c=chr(ord(c)+1) k=k-((j+1)*(j))/2 print("z") ```
instruction
0
56,119
0
112,238
Yes
output
1
56,119
0
112,239
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` from collections import defaultdict, deque, Counter from heapq import heapify, heappop, heappush import math from copy import deepcopy from itertools import combinations, permutations, product from bisect import bisect_left, bisect_right import sys def input(): return sys.stdin.readline().rstrip() def getN(): return int(input()) def getNM(): return map(int, input().split()) def getList(): return list(map(int, input().split())) def getArray(intn): return [int(input()) for i in range(intn)] mod = 10 ** 9 + 7 MOD = 998244353 INF = float('inf') eps = 10 ** (-10) dx = [1, 0, -1, 0] dy = [0, 1, 0, -1] ############# # Main Code # ############# """ convineするときの最小値 前からやれば... 使える文字は26個 sにあるaの数 * tにあるaの数 を足し合わせる 1+2+3...の組み合わせで表現したいが """ K = getN() if K == 0: print('a') exit() ans = '' str = 0 while K > 0: now = 1 acc = 0 while acc + now <= K: acc += now now += 1 K -= acc ans += chr(str + ord('a')) * now str += 1 print(ans) ```
instruction
0
56,120
0
112,240
Yes
output
1
56,120
0
112,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` k=int(input()) alphabet='abcdefghijklmnopqrstuvwxyz' ans=[] pointer=0 while k>0: curr=2 while curr*(curr+1)<=2*k: curr+=1 for j in range(curr): ans.append(alphabet[pointer]) k-=(curr*(curr-1))//2 pointer+=1 print(''.join(ans)) ```
instruction
0
56,121
0
112,242
No
output
1
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112,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` k = int(input()) if k == 1: print('fall') exit(0) if k == 3: print('september') exit(0) # от порядка объединения строк ничего не зависит # для каждой буквы, итоговая стоимость будет n * (n - 1) / 2 # жадно наберём ответ op_count = [0, 0] for i in range(500): op_count.append(op_count[-1] + i) if op_count[-1] > k: break ans = [] letter = 'a' for i in range(len(op_count) - 1, 1, -1): if op_count[i] <= k: k -= op_count[i] ans.append(letter * i) letter = chr(ord(letter) + 1) print(''.join(ans)) ```
instruction
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56,122
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112,244
No
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112,245
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` from sys import stdin, stdout n = int(stdin.readline()) current = 0 ans = '' while n: cnt = 0 while cnt * (cnt + 1) // 2 <= n: cnt += 1 for i in range(cnt): ans += chr(ord('a') + current) current += 1 cnt -= 1 n -= cnt * (cnt + 1) // 2 ```
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56,123
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112,246
No
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112,247
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. From beginning till end, this message has been waiting to be conveyed. For a given unordered multiset of n lowercase English letters ("multi" means that a letter may appear more than once), we treat all letters as strings of length 1, and repeat the following operation n - 1 times: * Remove any two elements s and t from the set, and add their concatenation s + t to the set. The cost of such operation is defined to be <image>, where f(s, c) denotes the number of times character c appears in string s. Given a non-negative integer k, construct any valid non-empty set of no more than 100 000 letters, such that the minimum accumulative cost of the whole process is exactly k. It can be shown that a solution always exists. Input The first and only line of input contains a non-negative integer k (0 ≤ k ≤ 100 000) — the required minimum cost. Output Output a non-empty string of no more than 100 000 lowercase English letters — any multiset satisfying the requirements, concatenated to be a string. Note that the printed string doesn't need to be the final concatenated string. It only needs to represent an unordered multiset of letters. Examples Input 12 Output abababab Input 3 Output codeforces Note For the multiset {'a', 'b', 'a', 'b', 'a', 'b', 'a', 'b'}, one of the ways to complete the process is as follows: * {"ab", "a", "b", "a", "b", "a", "b"}, with a cost of 0; * {"aba", "b", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "a", "b", "a", "b"}, with a cost of 1; * {"abab", "ab", "a", "b"}, with a cost of 0; * {"abab", "aba", "b"}, with a cost of 1; * {"abab", "abab"}, with a cost of 1; * {"abababab"}, with a cost of 8. The total cost is 12, and it can be proved to be the minimum cost of the process. Submitted Solution: ``` char=['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'] n=int(input()) s='a' c=1 k=0 i=0 while k!=n: s+=char[i] k+=c c+=1 if k>n: k-=c i+=1 c=0 #c+=1 print(s) ```
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56,124
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112,248
No
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