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Provide a correct Python 3 solution for this coding contest problem. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination...
instruction
0
56,401
5
112,802
"Correct Solution: ``` n, k = map(int, input().split()) ans = [] for i in range(2**n): cnt = 0 for j in range(n): if i>>j&1 ==1: cnt += 1 if cnt == k: st = [] for t in range(n): if i>>t&1 ==1: st.append(t) print("{}:".format(i),end =" "...
output
1
56,401
5
112,803
Provide a correct Python 3 solution for this coding contest problem. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination...
instruction
0
56,402
5
112,804
"Correct Solution: ``` from itertools import combinations n, k = map(int, input().split()) for n, combi in sorted([(sum([1<<b for b in c]), ' '.join(map(str, c))) for c in combinations(range(n), k)]): print(f'{n}: {combi}') ```
output
1
56,402
5
112,805
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary resp...
instruction
0
56,403
5
112,806
Yes
output
1
56,403
5
112,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary resp...
instruction
0
56,404
5
112,808
Yes
output
1
56,404
5
112,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary resp...
instruction
0
56,405
5
112,810
Yes
output
1
56,405
5
112,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary resp...
instruction
0
56,406
5
112,812
Yes
output
1
56,406
5
112,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was once young lass called Mary, Whose jokes were occasionally scary. On this April's Fool Fixed limerick rules Allowed her to trip the unwary. ...
instruction
0
56,533
5
113,066
Yes
output
1
56,533
5
113,067
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task. Given a sequence of integer numbers a1, a2, ..., an. Yo...
instruction
0
56,705
5
113,410
No
output
1
56,705
5
113,411
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task. Given a sequence of integer numbers a1, a2, ..., an. Yo...
instruction
0
56,706
5
113,412
No
output
1
56,706
5
113,413
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task. Given a sequence of integer numbers a1, a2, ..., an. Yo...
instruction
0
56,707
5
113,414
No
output
1
56,707
5
113,415
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j). Please...
instruction
0
56,924
5
113,848
No
output
1
56,924
5
113,849
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j). Please...
instruction
0
56,925
5
113,850
No
output
1
56,925
5
113,851
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j). Please...
instruction
0
56,926
5
113,852
No
output
1
56,926
5
113,853
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j). Please...
instruction
0
56,927
5
113,854
No
output
1
56,927
5
113,855
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,944
5
113,888
"Correct Solution: ``` def main(): n,k=map(int,input().split()) a=list(map(int,input().split())) a=[i-1 for i in a] from itertools import accumulate import bisect a=[0]+list(accumulate(a)) d=dict() a=[i%k for i in a] cnt=0 for j,i in enumerate(a): if i not in d.keys(): ...
output
1
56,944
5
113,889
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,946
5
113,892
"Correct Solution: ``` n,k=map(int,input().split()) a=list(map(lambda x:(int(x)-1)%k,input().split())) s=[0] for i in a: s.append((s[-1]+i)%k) mp={} ans=0 for i in range(len(s)): if i-k>=0: mp[s[i-k]]-=1 if s[i] in mp: ans+=mp[s[i]] mp[s[i]]+=1 else: mp[s[i]]=1 print(ans)...
output
1
56,946
5
113,893
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,947
5
113,894
"Correct Solution: ``` import collections n,k=map(int,input().split()) a=list(map(int,input().split())) m=[0] for i in range(n): m.append((m[-1]+a[i])) for i in range(n+1): m[i]-=i m[i]%=k ans=0 dict=collections.defaultdict(int) for i in range(1,n+1): x=m[i] if i<=k-1: dict[m[i-1]]+=1 else: dict[m[...
output
1
56,947
5
113,895
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,948
5
113,896
"Correct Solution: ``` n,k=map(int,input().split()) a=[0]+list(map(int,input().split())) for i in range(n):a[i+1]=(a[i+1]+a[i]-1)%k from collections import defaultdict d=defaultdict(int) x=0 d[0]=1 for i in range(1,n+1): if i-k>=0:d[a[i-k]]-=1 x+=d[a[i]] d[a[i]]+=1 print(x) ```
output
1
56,948
5
113,897
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,949
5
113,898
"Correct Solution: ``` n,k=map(int,input().split()) a=list(map(int,input().split())) current=[0] dic={} dic[0]=1 ans=0 for i in range(n): current.append((current[-1]+a[i]-1)%k) if i>=k-1: dic[current[-k-1]]-=1 if current[-1] in dic: ans+=dic[current[-1]] dic[current[-1]]+=1 else: dic[current[-1]...
output
1
56,949
5
113,899
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,950
5
113,900
"Correct Solution: ``` from collections import defaultdict n, k = map(int, input().split()) a = list(map(int, input().split())) a_cs = [0] * (n + 1) for i in range(n): a_cs[i + 1] = a_cs[i] + a[i] ans = 0 d = defaultdict(int) for j in range(n + 1): if j - k >= 0: d[(a_cs[j - k] - (j - k)) % k] -= 1 ...
output
1
56,950
5
113,901
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its e...
instruction
0
56,951
5
113,902
"Correct Solution: ``` from collections import defaultdict N, K, *A = map(int, open(0).read().split()) x = [0] * (N + 1) for i in range(N): x[i + 1] = x[i] + A[i] y = [(x[i] - i) % K for i in range(N + 1)] ctr = defaultdict(int) ans = 0 for j in range(N + 1): ans += ctr[y[j]] ctr[y[j]] += 1 if j...
output
1
56,951
5
113,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,952
5
113,904
Yes
output
1
56,952
5
113,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,953
5
113,906
Yes
output
1
56,953
5
113,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,954
5
113,908
Yes
output
1
56,954
5
113,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,955
5
113,910
Yes
output
1
56,955
5
113,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,956
5
113,912
No
output
1
56,956
5
113,913
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,957
5
113,914
No
output
1
56,957
5
113,915
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,958
5
113,916
No
output
1
56,958
5
113,917
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K. Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the ...
instruction
0
56,959
5
113,918
No
output
1
56,959
5
113,919
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,968
5
113,936
Yes
output
1
56,968
5
113,937
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,969
5
113,938
Yes
output
1
56,969
5
113,939
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,970
5
113,940
Yes
output
1
56,970
5
113,941
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,971
5
113,942
Yes
output
1
56,971
5
113,943
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,972
5
113,944
No
output
1
56,972
5
113,945
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,973
5
113,946
No
output
1
56,973
5
113,947
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,974
5
113,948
No
output
1
56,974
5
113,949
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}. Print the number of elements p_i (1 < i < n) that satisfy the following condition: * p_i is the second smallest number a...
instruction
0
56,975
5
113,950
No
output
1
56,975
5
113,951
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,976
5
113,952
"Correct Solution: ``` n,k = map(int,input().split()) if n >= 2*k - 1: print("YES") else: print("NO") ```
output
1
56,976
5
113,953
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,977
5
113,954
"Correct Solution: ``` n,k=map(int,input().split()) if (n+1)//2>=k: print('YES') else: print('NO') ```
output
1
56,977
5
113,955
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,978
5
113,956
"Correct Solution: ``` n,k=map(int,input().split()) if n//2+n%2>=k:print("YES") else:print("NO") ```
output
1
56,978
5
113,957
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,979
5
113,958
"Correct Solution: ``` n, k = map(int, input().split()) print("YES" if (k-1)*2 < n else "NO") ```
output
1
56,979
5
113,959
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,980
5
113,960
"Correct Solution: ``` n,k=map(int, input().split()) if -(-n//2)>=k:print('YES') else:print('NO') ```
output
1
56,980
5
113,961
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,981
5
113,962
"Correct Solution: ``` n,k = map(int,input().split()) if n / 2 + 1 > k : print("YES") else: print("NO") ```
output
1
56,981
5
113,963
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,982
5
113,964
"Correct Solution: ``` n,k=(int(i) for i in input().split()) print('YES' if -(-n//2) >= k else 'NO') ```
output
1
56,982
5
113,965
Provide a correct Python 3 solution for this coding contest problem. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given from Standard Input in the following format: N K Outp...
instruction
0
56,983
5
113,966
"Correct Solution: ``` n,k=map(int,input().split()) print("YES" if 1+(k-1)*2<=n else "NO") ```
output
1
56,983
5
113,967
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given f...
instruction
0
56,984
5
113,968
Yes
output
1
56,984
5
113,969
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given f...
instruction
0
56,985
5
113,970
Yes
output
1
56,985
5
113,971
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given f...
instruction
0
56,986
5
113,972
Yes
output
1
56,986
5
113,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given f...
instruction
0
56,987
5
113,974
Yes
output
1
56,987
5
113,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1. Constraints * 1\leq N,K\leq 100 * N and K are integers. Input Input is given f...
instruction
0
56,988
5
113,976
No
output
1
56,988
5
113,977