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Provide a correct Python 3 solution for this coding contest problem. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 and p is an integer not less than 2. Constraints * 1 ≤ X...
instruction
0
90,783
5
181,566
"Correct Solution: ``` x=int(input()) nums=[1] for b in range(2,x): p=2 while b**p<=x: nums.append(b**p) p+=1 print(max(nums)) ```
output
1
90,783
5
181,567
Provide a correct Python 3 solution for this coding contest problem. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 and p is an integer not less than 2. Constraints * 1 ≤ X...
instruction
0
90,784
5
181,568
"Correct Solution: ``` X = int(input()) ans = 1 i = 2 while i * i <= X: a = i while a * i <= X: a *= i ans = max(ans, a) i += 1 print(ans) ```
output
1
90,784
5
181,569
Provide a correct Python 3 solution for this coding contest problem. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 and p is an integer not less than 2. Constraints * 1 ≤ X...
instruction
0
90,785
5
181,570
"Correct Solution: ``` x=int(input()) ans=0 for i in range(33): for j in range(2,10): if i**j<=x: ans=max(ans,i**j) print(ans) ```
output
1
90,785
5
181,571
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,786
5
181,572
Yes
output
1
90,786
5
181,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,787
5
181,574
Yes
output
1
90,787
5
181,575
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,788
5
181,576
Yes
output
1
90,788
5
181,577
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,789
5
181,578
Yes
output
1
90,789
5
181,579
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,790
5
181,580
No
output
1
90,790
5
181,581
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,791
5
181,582
No
output
1
90,791
5
181,583
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,792
5
181,584
No
output
1
90,792
5
181,585
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer X. Find the largest perfect power that is at most X. Here, a perfect power is an integer that can be represented as b^p, where b is an integer not less than 1 an...
instruction
0
90,793
5
181,586
No
output
1
90,793
5
181,587
Provide a correct Python 3 solution for this coding contest problem. Consider an infinite sequence a_1, a_2, … Initially, the values of all the terms are 0, and from this state we will sequentially perform Q operations. The i-th operation (1 ≤ i ≤ Q) is as follows: * For every positive integer j, add x_i to the value...
instruction
0
90,794
5
181,588
"Correct Solution: ``` from itertools import product Q = int(input()) mxs = [tuple(map(int, input().split())) for _ in range(Q)] p1s = [2,3,5,7,11,13,17] nums = [9,6,4,3,3,3,3] rangeNums = [range(num) for num in nums] p2s = [19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149...
output
1
90,794
5
181,589
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider an infinite sequence a_1, a_2, … Initially, the values of all the terms are 0, and from this state we will sequentially perform Q operations. The i-th operation (1 ≤ i ≤ Q) is as follow...
instruction
0
90,795
5
181,590
No
output
1
90,795
5
181,591
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider an infinite sequence a_1, a_2, … Initially, the values of all the terms are 0, and from this state we will sequentially perform Q operations. The i-th operation (1 ≤ i ≤ Q) is as follow...
instruction
0
90,796
5
181,592
No
output
1
90,796
5
181,593
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,797
5
181,594
"Correct Solution: ``` import sys input = sys.stdin.readline n = int(input()) mod = pow(10, 9)+7 ct = [1]*(n+1) for i in range(1, n+1): ct[i] = ct[i-1]*i%mod def comb(n, k): res = ct[n]*pow(ct[n-k], mod-2, mod)%mod*pow(ct[k], mod-2, mod)%mod return res def main(): a = [int(x) for x in input().split()] alr...
output
1
90,797
5
181,595
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,798
5
181,596
"Correct Solution: ``` N = int(input()) A = list(map(int,input().split())) from collections import defaultdict d = {} for i,a in enumerate(A): if a not in d: d[a] = i else: l = d[a] r = i break mod = 10**9+7 n = 100010 frac = [1]*(n+1) finv = [1]*(n+1) for i in range(n): frac...
output
1
90,798
5
181,597
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,799
5
181,598
"Correct Solution: ``` MOD = 10 ** 9 + 7 MAXN = 100005 factorial = [1] for i in range(1, MAXN + 1): factorial.append(factorial[-1] * i % MOD) inv_factorial = [-1] * (MAXN + 1) inv_factorial[-1] = pow(factorial[-1], MOD-2, MOD) for i in reversed(range(MAXN)): inv_factorial[i] = inv_factorial[i + 1] * (i + 1) % ...
output
1
90,799
5
181,599
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,800
5
181,600
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) dup = sum(a) - n * (n + 1) // 2 d1 = a.index(dup) d2 = a.index(dup, d1 + 1) N = n + 1 Ndup = d1 + n - d2 MOD = 10 ** 9 + 7 def power(x, n): ans = 1 while n: if n % 2 == 1: ans = (ans * x) % MOD x = (x * x...
output
1
90,800
5
181,601
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,801
5
181,602
"Correct Solution: ``` N, *X = map(int, open(0).read().split()) MAX = 10 ** 5 + 1 MOD = 10 ** 9 + 7 # Factorial fac = [0] * (MAX + 1) fac[0] = 1 fac[1] = 1 for i in range(2, MAX + 1): fac[i] = fac[i - 1] * i % MOD # Inverse factorial finv = [0] * (MAX + 1) finv[MAX] = pow(fac[MAX], MOD - 2, MOD) for i in rev...
output
1
90,801
5
181,603
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,802
5
181,604
"Correct Solution: ``` from collections import defaultdict n = int(input()) + 1 a = list(map(int, input().split())) mod = 10 ** 9 + 7 # 1を一つだけ選ぶやつは重複する可能性 d = defaultdict(int) left = right = 0 for i in range(n): if d[a[i]] > 0: right = i left = a.index(a[i]) break d[a[i]] += 1 fac =...
output
1
90,802
5
181,605
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,803
5
181,606
"Correct Solution: ``` def mod_inv(n: int, mod: int)->int: b, u, v = mod, 1, 0 while b > 0: t = n // b n -= t * b u -= t * v n, b = b, n u, v = v, u return (u+mod) % mod def _11(N: int, A: list)->list: MOD = 10**9 + 7 d = {} l, r = 0, 0 for i, a ...
output
1
90,803
5
181,607
Provide a correct Python 3 solution for this coding contest problem. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequence. For each integer k=1,...,n+1, find the number of ...
instruction
0
90,804
5
181,608
"Correct Solution: ``` import sys input=sys.stdin.readline def solve(): N = int(input()) d = {i:-1 for i in range(1, N+1)} *l, = map(int, input().split()) MOD = 10**9+7 n = N+1 fac = [1]*(n+1) rev = [1]*(n+1) for i in range(1,n+1): fac[i] = i*fac[i-1]%MOD rev[i] =...
output
1
90,804
5
181,609
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,805
5
181,610
Yes
output
1
90,805
5
181,611
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,806
5
181,612
Yes
output
1
90,806
5
181,613
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,807
5
181,614
Yes
output
1
90,807
5
181,615
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,808
5
181,616
Yes
output
1
90,808
5
181,617
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,809
5
181,618
No
output
1
90,809
5
181,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,810
5
181,620
No
output
1
90,810
5
181,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,811
5
181,622
No
output
1
90,811
5
181,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer sequence of length n+1, a_1,a_2,...,a_{n+1}, which consists of the n integers 1,...,n. It is known that each of the n integers 1,...,n appears at least once in this sequ...
instruction
0
90,812
5
181,624
No
output
1
90,812
5
181,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r,c). Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negativ...
instruction
0
90,837
5
181,674
Yes
output
1
90,837
5
181,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r,c). Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negativ...
instruction
0
90,839
5
181,678
No
output
1
90,839
5
181,679
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r,c). Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negativ...
instruction
0
90,840
5
181,680
No
output
1
90,840
5
181,681
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r,c). Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negativ...
instruction
0
90,841
5
181,682
No
output
1
90,841
5
181,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r,c). Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negativ...
instruction
0
90,842
5
181,684
No
output
1
90,842
5
181,685
Provide a correct Python 3 solution for this coding contest problem. Example Input 5 5 4 6 3 2 4 2 5 2 1 4 3 4 5 4 Output 6
instruction
0
90,931
5
181,862
"Correct Solution: ``` from collections import defaultdict import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): W, H, K = map(int, readline().split()) N = int(readline()) mp = defaultdict(lambda:defaultdict(int)) for i in range(N): x, y = map(int, readline().split()) ...
output
1
90,931
5
181,863
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,937
5
181,874
"Correct Solution: ``` q = int(input()) s = set() for i in range(q): x, y = map(int, input().split()) if x == 0: s.add(y) print(len(s)) else: if y in s: print(1) else: print(0) ```
output
1
90,937
5
181,875
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,938
5
181,876
"Correct Solution: ``` numset = set([]) q = int(input()) for i in range(q): query, x = list(map(int, input().split(' '))) if query == 0: numset.add(x) print(len(numset)) else: if set([x]).issubset(numset): print(1) else: print(0) ```
output
1
90,938
5
181,877
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,939
5
181,878
"Correct Solution: ``` #空セットを作り標準入力をする num_list = set() for _ in range(int(input())): a,b = map(int,input().split()) #aが0のときはセットにbを加え要素数を出力する if a == 0: num_list.add(b) print(len(num_list)) #aが1のときbがセットの中にあるなら1ないなら0を出力する elif a == 1:print(1 if b in num_list else 0) ```
output
1
90,939
5
181,879
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,940
5
181,880
"Correct Solution: ``` S = set() q = int(input()) for _ in range(q): command, *list_num = input().split() x = int(list_num[0]) if command == "0": # insert(x) S.add(x) print(len(S)) elif command == "1": # find(x) if x in S: print(1) e...
output
1
90,940
5
181,881
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,941
5
181,882
"Correct Solution: ``` if __name__ == '__main__': n = int(input()) S = set() for _ in range(n): x,y = map(int,input().split()) if x == 0: S.add(y) print(len(S)) else: if y in S: print("1") else: print("0") ```
output
1
90,941
5
181,883
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,942
5
181,884
"Correct Solution: ``` # -*- coding: utf-8 -*- """ Set - Set: Search http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_7_A&lang=jp """ s = set() for _ in range(int(input())): q, x = input().split() if q == '0': s.add(x) print(len(s)) else: print(int(x in s)) ```
output
1
90,942
5
181,885
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,943
5
181,886
"Correct Solution: ``` import math class LinearProbingIntSet: def __init__(self): self.count = 0 self.size = 3 self.keys = [None] * self.size def add(self, key): i = self._hash(key) for j in range(self.size): k = (i + j) % self.size if self.key...
output
1
90,943
5
181,887
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Report the number of $...
instruction
0
90,944
5
181,888
"Correct Solution: ``` def resolve(): import sys input = sys.stdin.readline q = int(input()) ans = set() for _ in range(q): q = [int(i) for i in input().split()] x = q[1] if q[0] == 0: ans.add(x) print(len(ans)) else: if x in ans: ...
output
1
90,944
5
181,889
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ ...
instruction
0
90,945
5
181,890
Yes
output
1
90,945
5
181,891
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ ...
instruction
0
90,946
5
181,892
Yes
output
1
90,946
5
181,893
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ ...
instruction
0
90,947
5
181,894
Yes
output
1
90,947
5
181,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ ...
instruction
0
90,948
5
181,896
Yes
output
1
90,948
5
181,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan i...
instruction
0
90,959
5
181,918
Yes
output
1
90,959
5
181,919
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan i...
instruction
0
90,960
5
181,920
Yes
output
1
90,960
5
181,921