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Provide a correct Python 3 solution for this coding contest problem. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ...,...
instruction
0
21,997
5
43,994
"Correct Solution: ``` n = int(input()) d = list(map(int,input().split())) for b in range(2**n): a = bin(b)[2:] a = a[::-1] ans = [] for i in range(len(a)): if a[i] == "1": ans.append(i) ans.sort() flag = True for i in d[1:]: if i not in ans: flag = F...
output
1
21,997
5
43,995
Provide a correct Python 3 solution for this coding contest problem. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ...,...
instruction
0
21,998
5
43,996
"Correct Solution: ``` import sys readline = sys.stdin.readline write = sys.stdout.write N = int(readline()) k, *B = map(int, readline().split()) M = sum(1 << b for b in B) if M == 0: write("0:\n") for i in range(1, 1 << N): if i & M == M: write("%d: %s\n" % (i, " ".join(str(j) for j in range(N) if i & ...
output
1
21,998
5
43,997
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent ...
instruction
0
21,999
5
43,998
Yes
output
1
21,999
5
43,999
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent ...
instruction
0
22,000
5
44,000
Yes
output
1
22,000
5
44,001
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent ...
instruction
0
22,001
5
44,002
Yes
output
1
22,001
5
44,003
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a set $T$, which is a subset of $U$. The set $U$ consists of $0, 1, ... n-1$. Print all sets, each of which is a subset of $U$ and includes $T$ as a subset. Note that we represent ...
instruction
0
22,002
5
44,004
Yes
output
1
22,002
5
44,005
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,118
5
44,236
Yes
output
1
22,118
5
44,237
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,119
5
44,238
Yes
output
1
22,119
5
44,239
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,120
5
44,240
Yes
output
1
22,120
5
44,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,121
5
44,242
Yes
output
1
22,121
5
44,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,122
5
44,244
No
output
1
22,122
5
44,245
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,123
5
44,246
No
output
1
22,123
5
44,247
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,124
5
44,248
No
output
1
22,124
5
44,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation a + 1 = b with positive integers a and b, but Kolya forgot the numbers a and b. He does,...
instruction
0
22,125
5
44,250
No
output
1
22,125
5
44,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Two integers x and y are compatible, if the result of their bitwise "AND" equals zero, that is, a & b = 0. For example, numbers 90 (10110102) and 36 (1001002) are compatible, as 10110102 & 10010...
instruction
0
22,309
5
44,618
No
output
1
22,309
5
44,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Two integers x and y are compatible, if the result of their bitwise "AND" equals zero, that is, a & b = 0. For example, numbers 90 (10110102) and 36 (1001002) are compatible, as 10110102 & 10010...
instruction
0
22,310
5
44,620
No
output
1
22,310
5
44,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Two integers x and y are compatible, if the result of their bitwise "AND" equals zero, that is, a & b = 0. For example, numbers 90 (10110102) and 36 (1001002) are compatible, as 10110102 & 10010...
instruction
0
22,311
5
44,622
No
output
1
22,311
5
44,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,330
5
44,660
Yes
output
1
22,330
5
44,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,332
5
44,664
Yes
output
1
22,332
5
44,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,333
5
44,666
Yes
output
1
22,333
5
44,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,334
5
44,668
No
output
1
22,334
5
44,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,335
5
44,670
No
output
1
22,335
5
44,671
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's consider equation: x2 + s(x)·x - n = 0, where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system. You are given an in...
instruction
0
22,337
5
44,674
No
output
1
22,337
5
44,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have been given n distinct integers a1, a2, ..., an. You can remove at most k of them. Find the minimum modular m (m > 0), so that for every pair of the remaining integers (ai, aj), the foll...
instruction
0
22,370
5
44,740
No
output
1
22,370
5
44,741
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have been given n distinct integers a1, a2, ..., an. You can remove at most k of them. Find the minimum modular m (m > 0), so that for every pair of the remaining integers (ai, aj), the foll...
instruction
0
22,371
5
44,742
No
output
1
22,371
5
44,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have been given n distinct integers a1, a2, ..., an. You can remove at most k of them. Find the minimum modular m (m > 0), so that for every pair of the remaining integers (ai, aj), the foll...
instruction
0
22,372
5
44,744
No
output
1
22,372
5
44,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have been given n distinct integers a1, a2, ..., an. You can remove at most k of them. Find the minimum modular m (m > 0), so that for every pair of the remaining integers (ai, aj), the foll...
instruction
0
22,373
5
44,746
No
output
1
22,373
5
44,747
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
22,516
5
45,032
Yes
output
1
22,516
5
45,033
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
22,519
5
45,038
Yes
output
1
22,519
5
45,039
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
22,520
5
45,040
No
output
1
22,520
5
45,041
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
22,521
5
45,042
No
output
1
22,521
5
45,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
22,523
5
45,046
No
output
1
22,523
5
45,047
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,602
5
45,204
"Correct Solution: ``` n, k = map(int, input().split()) A = [*map(int, input().split())] for i in range(k, n): print('Yes' if A[i-k] < A[i] else 'No') ```
output
1
22,602
5
45,205
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,603
5
45,206
"Correct Solution: ``` n, k = map(int, input().split(' ')) a = [int(tmp) for tmp in input().split(' ')] [print('Yes') if a < b else print('No') for a, b in zip(a[:n - k], a[k:])] ```
output
1
22,603
5
45,207
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,604
5
45,208
"Correct Solution: ``` #!/usr/bin/env python3 n, k = map(int, input().split()) a = list(map(int, input().split())) for i in range(k, n): print(["No", "Yes"][a[i - k] < a[i]]) ```
output
1
22,604
5
45,209
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,605
5
45,210
"Correct Solution: ``` n, k, *A = map(int, open(0).read().split()) for i in range(k, n): if A[i-k] < A[i]: print('Yes') else: print('No') ```
output
1
22,605
5
45,211
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,606
5
45,212
"Correct Solution: ``` N, K = map(int,input().split()) AA = list(map(int,input().split())) for i in range(K,N): if AA[i-K]<AA[i]: print('Yes') else: print('No') ```
output
1
22,606
5
45,213
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,607
5
45,214
"Correct Solution: ``` n,k = map(int,input().split()) ls = list(map(int,input().split())) for i in range(n-k): print("Yes" if ls[i] < ls[i+k] else "No") ```
output
1
22,607
5
45,215
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,608
5
45,216
"Correct Solution: ``` N, K=map(int,input().split()) A=list(map(int,input().split())) for i in range(1,N-K+1): if A[K+i-1]/A[i-1]>1: print("Yes") else: print("No") ```
output
1
22,608
5
45,217
Provide a correct Python 3 solution for this coding contest problem. M-kun is a student in Aoki High School, where a year is divided into N terms. There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows: * For the first through (K-1)-th te...
instruction
0
22,609
5
45,218
"Correct Solution: ``` N, K = map(int, input().split()) A = list(map(int, input().split())) for i in range(0,N-K): print("Yes" if A[K+i]>A[i] else "No") ```
output
1
22,609
5
45,219
Provide a correct Python 3 solution for this coding contest problem. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds: * Choose two d...
instruction
0
22,634
5
45,268
"Correct Solution: ``` from operator import itemgetter class UnionFind: def __init__(self, n): self.table = [-1] * n def _root(self, x): if self.table[x] < 0: return x else: self.table[x] = self._root(self.table[x]) return self.table[x] def fin...
output
1
22,634
5
45,269
Provide a correct Python 3 solution for this coding contest problem. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds: * Choose two d...
instruction
0
22,635
5
45,270
"Correct Solution: ``` N=int(input()) A=list(map(int,input().split())) B=list(map(int,input().split())) A=[(A[i],i) for i in range(N)] B=[(B[i],i) for i in range(N)] check=True Ainc=True Binc=True ABinc=True A.sort() B.sort() for i in range(N): if A[i][0]>B[i][0]: check=False if i>0: if A[i-1]...
output
1
22,635
5
45,271
Provide a correct Python 3 solution for this coding contest problem. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds: * Choose two d...
instruction
0
22,636
5
45,272
"Correct Solution: ``` N = int(input()) A = list(map(int, input().split())) B = list(map(int, input().split())) def count_loop(start, idx_map): count = 0 idx = start while True: idx = idx_map[idx] count += 1 if idx == 0: break return count A, B = zip(*sorted(zip(...
output
1
22,636
5
45,273
Provide a correct Python 3 solution for this coding contest problem. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds: * Choose two d...
instruction
0
22,640
5
45,280
"Correct Solution: ``` import sys input = sys.stdin.readline N = int(input()) a = list(map(int, input().split())) b = list(map(int, input().split())) xa = sorted([(a[i], i) for i in range(N)], key = lambda x: x[0]) xb = sorted([(b[i], i) for i in range(N)], key = lambda x: x[0]) for i in range(N): if xa[i][0] > xb[i]...
output
1
22,640
5
45,281
Provide a correct Python 3 solution for this coding contest problem. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds: * Choose two d...
instruction
0
22,641
5
45,282
"Correct Solution: ``` N = int(input()) A = [int(a) for a in input().split()] B = [int(a) for a in input().split()] A = [(A[i]<<18) + i for i in range(N)] B = [(B[i]<<18) + i + (1<<17) for i in range(N)] AA = sorted(A) BB = sorted(B) IA = {} IB = {} for i in range(N): IA[AA[i]] = i IB[BB[i]] = i for i in rang...
output
1
22,641
5
45,283
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every in...
instruction
0
22,642
5
45,284
Yes
output
1
22,642
5
45,285
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every in...
instruction
0
22,643
5
45,286
Yes
output
1
22,643
5
45,287
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every in...
instruction
0
22,644
5
45,288
Yes
output
1
22,644
5
45,289
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every in...
instruction
0
22,645
5
45,290
Yes
output
1
22,645
5
45,291
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N. Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every in...
instruction
0
22,646
5
45,292
No
output
1
22,646
5
45,293