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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,077
5
58,154
Yes
output
1
29,077
5
58,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,078
5
58,156
Yes
output
1
29,078
5
58,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,079
5
58,158
No
output
1
29,079
5
58,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,080
5
58,160
No
output
1
29,080
5
58,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,081
5
58,162
No
output
1
29,081
5
58,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are g...
instruction
0
29,082
5
58,164
No
output
1
29,082
5
58,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k. Here \& denotes the [bitwise AND operati...
instruction
0
29,215
5
58,430
No
output
1
29,215
5
58,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k. Here \& denotes the [bitwise AND operati...
instruction
0
29,216
5
58,432
No
output
1
29,216
5
58,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k. Here \& denotes the [bitwise AND operati...
instruction
0
29,217
5
58,434
No
output
1
29,217
5
58,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array a of n integers. You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k. Here \& denotes the [bitwise AND operati...
instruction
0
29,218
5
58,436
No
output
1
29,218
5
58,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,279
5
58,558
Yes
output
1
29,279
5
58,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,280
5
58,560
Yes
output
1
29,280
5
58,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,281
5
58,562
Yes
output
1
29,281
5
58,563
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,282
5
58,564
Yes
output
1
29,282
5
58,565
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,283
5
58,566
No
output
1
29,283
5
58,567
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,284
5
58,568
No
output
1
29,284
5
58,569
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,285
5
58,570
No
output
1
29,285
5
58,571
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's define the following recurrence: $$$a_{n+1} = a_{n} + minDigit(a_{n}) ⋅ maxDigit(a_{n}).$$$ Here minDigit(x) and maxDigit(x) are the minimal and maximal digits in the decimal representati...
instruction
0
29,286
5
58,572
No
output
1
29,286
5
58,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer ...
instruction
0
29,800
5
59,600
Yes
output
1
29,800
5
59,601
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer ...
instruction
0
29,801
5
59,602
Yes
output
1
29,801
5
59,603
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer ...
instruction
0
29,804
5
59,608
No
output
1
29,804
5
59,609
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer ...
instruction
0
29,805
5
59,610
No
output
1
29,805
5
59,611
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer ...
instruction
0
29,806
5
59,612
No
output
1
29,806
5
59,613
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,867
5
59,734
"Correct Solution: ``` def factorial(n): if n == 1 or n == 0: return int(1) return int(n*factorial(n-1)) def nck(n,k): return int(factorial(n)/(factorial(n-k)*factorial(k))) ans = 0 ans2 = 0 N,A,B = map(int,input().split()) v = list(map(int,input().split())) v.sort() for i in range(A,B+1): ans...
output
1
29,867
5
59,735
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,868
5
59,736
"Correct Solution: ``` nCr = {} def cmb(n, r): if r == 0 or r == n: return 1 if r == 1: return n if (n,r) in nCr: return nCr[(n,r)] nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1) return nCr[(n,r)] N,A,B = map(int,input().split()) v = sorted(list(map(int,input().split())),reverse=True) if len(set(v)) == 1:...
output
1
29,868
5
59,737
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,869
5
59,738
"Correct Solution: ``` def conb(a,b): now=1 for i in range(b): now=int(now*(a-i)/(i+1)) return now N,A,B=map(int,input().split()) V=list(map(int,input().split())) V.sort(reverse=True) line=V[A-1] if V[0]==line: ans=0 for i in range(A,min(V.count(V[0]),B)+1): ans+=conb(V.count(V[0]),i...
output
1
29,869
5
59,739
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,870
5
59,740
"Correct Solution: ``` # ABC 057 D import math N, A, B = map(int,input().split()) v = sorted(list(map(int,input().split())))[::-1] def nCr(n,r): return (math.factorial(n)//(math.factorial(r)*math.factorial(n-r))) a = sum(v[:A])/A print(a) s = 0 for k in range(N): if v[A-1] == v[k]: s += 1 t = 0 for k...
output
1
29,870
5
59,741
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,871
5
59,742
"Correct Solution: ``` from functools import reduce from operator import mul def cmb(n, r): r = min(n - r, r) if r == 0: return 1 return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(r, 0, -1)) n,a,b = map(int, input().split()) v = list(map(int, input().split())) v.sort(reverse = True) if ...
output
1
29,871
5
59,743
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,872
5
59,744
"Correct Solution: ``` from statistics import mean from collections import Counter n,a,b=map(int,input().split()) v=sorted(list(map(int,input().split())),reverse=True) avg=mean(v[:a]) print(avg) p=Counter(v[:a])[v[a-1]] q=Counter(v)[v[a-1]] def n_func(n): ans=1 for i in range(1,n+1):ans=(ans*i) return ans...
output
1
29,872
5
59,745
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,873
5
59,746
"Correct Solution: ``` import math n,a,b =map(int,input().split()) v = list(map(int,input().split())) v = sorted(v,key=lambda x:-x) need = v[:a] ti = min(need) no = need.count(ti) try: ona = v[a:].count(ti) except: ona = 0 if ona == 0: print(sum(need)/a) print(1) elif no == a: ans = 0 for i in range(b+1-a):...
output
1
29,873
5
59,747
Provide a correct Python 3 solution for this coding contest problem. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, fi...
instruction
0
29,874
5
59,748
"Correct Solution: ``` import math from collections import Counter N, A, B = map(int, input().split()) v = list(map(int, input().split())) v.sort(reverse = True) cnt_v = Counter(v) ave = [] for i in range(A, B+1): ave.append(sum(v[0:i]) / i) max_ave = max(ave) ans = 0 for j in range(B-A+1): temp = 1 if...
output
1
29,874
5
59,749
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,875
5
59,750
Yes
output
1
29,875
5
59,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,876
5
59,752
Yes
output
1
29,876
5
59,753
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,877
5
59,754
Yes
output
1
29,877
5
59,755
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,878
5
59,756
Yes
output
1
29,878
5
59,757
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,879
5
59,758
No
output
1
29,879
5
59,759
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,880
5
59,760
No
output
1
29,880
5
59,761
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,881
5
59,762
No
output
1
29,881
5
59,763
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmeti...
instruction
0
29,882
5
59,764
No
output
1
29,882
5
59,765
Provide a correct Python 3 solution for this coding contest problem. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {N-K + 1}, \ cdots, a_N $. Example Input 8 5 2 4 9...
instruction
0
30,019
5
60,038
"Correct Solution: ``` from collections import Counter n = int(input()) a = input().split() # a = list(map(int, input().split())) ans = '' # t1, t2 = [], [] t1, t2 = Counter(), Counter() for i in range(n): t1.update(a[i]) t2.update(a[n-1-i]) t3 = t1 & t2 t1 -= t3 t2 -= t3 if t1 == t2: a...
output
1
30,019
5
60,039
Provide a correct Python 3 solution for this coding contest problem. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {N-K + 1}, \ cdots, a_N $. Example Input 8 5 2 4 9...
instruction
0
30,020
5
60,040
"Correct Solution: ``` # -*- coding: utf-8 -*- def inpl(): return list(map(int, input().split())) from bisect import bisect_left, insort N = int(input()) src = list(map(int,input().split())) ans = [] A, B = [], [] for i in range(N): a, b = src[i], src[-i-1] addA = False addB = False if a != b: ...
output
1
30,020
5
60,041
Provide a correct Python 3 solution for this coding contest problem. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {N-K + 1}, \ cdots, a_N $. Example Input 8 5 2 4 9...
instruction
0
30,021
5
60,042
"Correct Solution: ``` import sys,queue,math,copy,itertools,bisect from fractions import gcd sys.setrecursionlimit(10**7) INF = 10**18 MOD = 10**9 + 7 LI = lambda : [int(x) for x in sys.stdin.readline().split()] _LI = lambda : [int(x)-1 for x in sys.stdin.readline().split()] NI = lambda : int(sys.stdin.readline()) N =...
output
1
30,021
5
60,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {...
instruction
0
30,022
5
60,044
No
output
1
30,022
5
60,045
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {...
instruction
0
30,023
5
60,046
No
output
1
30,023
5
60,047
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {...
instruction
0
30,024
5
60,048
No
output
1
30,024
5
60,049
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {...
instruction
0
30,025
5
60,050
No
output
1
30,025
5
60,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Problem Given two sequences of length $ N $, $ A $ and $ B $. First, the $ i $ item in the sequence $ A $ is $ a_i $, and the $ i $ item in the sequence $ B $ is $ b_i $. Since a total of $ Q ...
instruction
0
30,026
5
60,052
No
output
1
30,026
5
60,053
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Problem Given two sequences of length $ N $, $ A $ and $ B $. First, the $ i $ item in the sequence $ A $ is $ a_i $, and the $ i $ item in the sequence $ B $ is $ b_i $. Since a total of $ Q ...
instruction
0
30,027
5
60,054
No
output
1
30,027
5
60,055
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two polynomials: * P(x) = a0·xn + a1·xn - 1 + ... + an - 1·x + an and * Q(x) = b0·xm + b1·xm - 1 + ... + bm - 1·x + bm. Calculate limit <image>. Input The first line co...
instruction
0
30,361
5
60,722
Yes
output
1
30,361
5
60,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two polynomials: * P(x) = a0·xn + a1·xn - 1 + ... + an - 1·x + an and * Q(x) = b0·xm + b1·xm - 1 + ... + bm - 1·x + bm. Calculate limit <image>. Input The first line co...
instruction
0
30,362
5
60,724
Yes
output
1
30,362
5
60,725