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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f_{x} = c^{2x-6} β‹… f_{x-1} β‹… f_{x-2} β‹… f_{x-3} for x β‰₯ 4. You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7). Input The only line contains five integers n, f...
instruction
0
99,565
5
199,130
No
output
1
99,565
5
199,131
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f_{x} = c^{2x-6} β‹… f_{x-1} β‹… f_{x-2} β‹… f_{x-3} for x β‰₯ 4. You have given integers n, f_{1}, f_{2}, f_{3}, and c. Find f_{n} mod (10^{9}+7). Input The only line contains five integers n, f...
instruction
0
99,566
5
199,132
No
output
1
99,566
5
199,133
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l ≀ x ≀ r, a...
instruction
0
99,778
5
199,556
Tags: bitmasks, constructive algorithms Correct Solution: ``` n = int(input()) for i in range(n): l,r = map(int,input().split()) while ((l|(l+1))<=r): l|=(l+1) print(l) ```
output
1
99,778
5
199,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,785
5
199,570
Yes
output
1
99,785
5
199,571
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,786
5
199,572
Yes
output
1
99,786
5
199,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,787
5
199,574
Yes
output
1
99,787
5
199,575
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,788
5
199,576
No
output
1
99,788
5
199,577
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,789
5
199,578
No
output
1
99,789
5
199,579
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,790
5
199,580
No
output
1
99,790
5
199,581
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote as <image> the number of bits set ('1' bits) in the binary representation of the non-negative integer x. You are given multiple queries consisting of pairs of integers l and r. For...
instruction
0
99,791
5
199,582
No
output
1
99,791
5
199,583
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,989
5
199,978
Yes
output
1
99,989
5
199,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,990
5
199,980
Yes
output
1
99,990
5
199,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,991
5
199,982
Yes
output
1
99,991
5
199,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,992
5
199,984
Yes
output
1
99,992
5
199,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,993
5
199,986
No
output
1
99,993
5
199,987
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,994
5
199,988
No
output
1
99,994
5
199,989
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,995
5
199,990
No
output
1
99,995
5
199,991
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider the function p(x), where x is an array of m integers, which returns an array y consisting of m + 1 integers such that yi is equal to the sum of first i elements of array x (0 ≀ i ≀ m). ...
instruction
0
99,996
5
199,992
No
output
1
99,996
5
199,993
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,077
5
200,154
"Correct Solution: ``` class BIT(): __slots__ = ["n", "data"] def __init__(self, length_or_list): if isinstance(length_or_list, int): self.n = length_or_list + 1 self.data = [0] * self.n else: self.n = len(length_or_list) + 1 self.data = [0] + le...
output
1
100,077
5
200,155
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,078
5
200,156
"Correct Solution: ``` class BIT: def __init__(self, n): self.n = n self.bit = [0]*(self.n+1) # 1-indexed def init(self, init_val): for i, v in enumerate(init_val): self.add(i, v) def add(self, i, x): # i: 0-indexed i += 1 # to 1-indexed while ...
output
1
100,078
5
200,157
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,079
5
200,158
"Correct Solution: ``` import sys class Bit: def __init__(self, n, arr): self.size = n self.tree = [0] + arr for i in range(1, n+1): x = i + (i & -i) if x < n + 1: self.tree[x] += self.tree[i] def sum(self, i): s = 0 while i > 0: ...
output
1
100,079
5
200,159
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,080
5
200,160
"Correct Solution: ``` import sys input = lambda: sys.stdin.readline() class BIT: def __init__(self, n): self.n = n self.data = [0] * (n + 1) def sum(self, i): s = 0 while i > 0: s += self.data[i] i -= i & -i return s def add(self, i, x): ...
output
1
100,080
5
200,161
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,081
5
200,162
"Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 8) input = sys.stdin.readline def main(): def segfunc(x, y): return x + y def init(init_val): for i in range(n): seg[i + num - 1] = init_val[i] for i in range(num - 2, -1, -1): seg[i] = segfun...
output
1
100,081
5
200,163
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,082
5
200,164
"Correct Solution: ``` def main(): def f(i,x): while i<=n: b[i]+=x i+=i&-i def g(i): s=0 while i: s+=b[i] i-=i&-i return s (n,q,*w),a,*t=[map(int,t.split())for t in open(0)] b=[0]*-~n *map(f,range(1,n+1),a), for q,l,r in t: if q:w+=g(r)-g(l), else:f(l+1,r) p...
output
1
100,082
5
200,165
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,083
5
200,166
"Correct Solution: ``` class fenwick_tree(): def __init__(self, n:int): self.__n = n self.__data = [0] * self.__n def add(self, p:int, x:int): assert (0 <= p) & (p < self.__n) p+=1 while( p<= self.__n): self.__data[p-1] += x p += p & -p def s...
output
1
100,083
5
200,167
Provide a correct Python 3 solution for this coding contest problem. You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \leq N, Q \leq 500,000 * 0 \leq a_i, x \leq 10^9 * 0 \leq...
instruction
0
100,084
5
200,168
"Correct Solution: ``` n, q = map(int, input().split()) BIT = [0] * (n + 1) def add(i, x): while i <= n: BIT[i] += x i += i & -i def query(i): s = 0 while i > 0: s += BIT[i] i -= i & -i return s a = list(map(int, input().split())) for i in range(n): add(i + 1, a[i]) f...
output
1
100,084
5
200,169
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_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \...
instruction
0
100,088
5
200,176
Yes
output
1
100,088
5
200,177
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_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \...
instruction
0
100,089
5
200,178
No
output
1
100,089
5
200,179
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_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \...
instruction
0
100,090
5
200,180
No
output
1
100,090
5
200,181
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_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types. * `0 p x`: a_p \gets a_p + x * `1 l r`: Print \sum_{i = l}^{r - 1}{a_i}. Constraints * 1 \...
instruction
0
100,091
5
200,182
No
output
1
100,091
5
200,183
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,093
5
200,186
"Correct Solution: ``` x=int(input()) for i in range(120): for j in range(-62,i): if i**5-j**5==x:print(i,j);exit() ```
output
1
100,093
5
200,187
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,094
5
200,188
"Correct Solution: ``` x=int(input()) for a in range(201): for b in range(-200,201): if a**5-b**5==x: print(a,b) exit() ```
output
1
100,094
5
200,189
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,095
5
200,190
"Correct Solution: ``` A= int(input()) for i in range(-119,119): for j in range(-119,119): if i**5-j**5 == A: print(i,j) exit() ```
output
1
100,095
5
200,191
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,096
5
200,192
"Correct Solution: ``` x=int(input()) for a in range(120): for b in range(-120,a): if a**5 - b**5 == x: print(a,b) exit() ```
output
1
100,096
5
200,193
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,097
5
200,194
"Correct Solution: ``` x=int(input()) for i in range(-400,400): for j in range(-400,400): if i**5-j**5==x: print(i,j) exit() ```
output
1
100,097
5
200,195
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,098
5
200,196
"Correct Solution: ``` x=int(input()) for i in range(120): for j in range(-54,i): if i**5-j**5==x:print(i,j);exit() ```
output
1
100,098
5
200,197
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,099
5
200,198
"Correct Solution: ``` x = int(input()) for i in range(238): a = i-118 for j in range(238): b = j-119 if a**5-b**5==x: print(a, b) exit() ```
output
1
100,099
5
200,199
Provide a correct Python 3 solution for this coding contest problem. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists a pair of integers (A, B) satisfying the condition in P...
instruction
0
100,100
5
200,200
"Correct Solution: ``` x = int(input()) for i in range(-119, 120): for j in range(-119, 120): if i**5 - j**5 == x: print(i,j) exit() ```
output
1
100,100
5
200,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,101
5
200,202
Yes
output
1
100,101
5
200,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,102
5
200,204
Yes
output
1
100,102
5
200,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,103
5
200,206
Yes
output
1
100,103
5
200,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,104
5
200,208
Yes
output
1
100,104
5
200,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,105
5
200,210
No
output
1
100,105
5
200,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,107
5
200,214
No
output
1
100,107
5
200,215
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Give a pair of integers (A, B) such that A^5-B^5 = X. It is guaranteed that there exists such a pair for the given integer X. Constraints * 1 \leq X \leq 10^9 * X is an integer. * There exists...
instruction
0
100,108
5
200,216
No
output
1
100,108
5
200,217
Provide a correct Python 3 solution for this coding contest problem. Find the minimum prime number greater than or equal to X. Constraints * 2 \le X \le 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: X Output Print the minimum prime number greater th...
instruction
0
100,109
5
200,218
"Correct Solution: ``` x = int(input()) while True: n = 2 while x % n != 0 and n <= x/2: n += 1 if n < x/2: x += 1 else: print(x) break ```
output
1
100,109
5
200,219
Provide a correct Python 3 solution for this coding contest problem. Find the minimum prime number greater than or equal to X. Constraints * 2 \le X \le 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: X Output Print the minimum prime number greater th...
instruction
0
100,110
5
200,220
"Correct Solution: ``` import math X=int(input()) while True: for i in range(2,int(math.sqrt(X))+1): if X%i==0: X+=1 break else: print(X) break ```
output
1
100,110
5
200,221
Provide a correct Python 3 solution for this coding contest problem. Find the minimum prime number greater than or equal to X. Constraints * 2 \le X \le 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: X Output Print the minimum prime number greater th...
instruction
0
100,111
5
200,222
"Correct Solution: ``` X=int(input()) ans=True while ans: for i in range(2,X): if X%i==0: X+=1 break else: print(X) ans=False ```
output
1
100,111
5
200,223
Provide a correct Python 3 solution for this coding contest problem. Find the minimum prime number greater than or equal to X. Constraints * 2 \le X \le 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: X Output Print the minimum prime number greater th...
instruction
0
100,112
5
200,224
"Correct Solution: ``` x=int(input()) while any(x%i<1 for i in range(2,x)): x+=1 print(x) ```
output
1
100,112
5
200,225
Provide a correct Python 3 solution for this coding contest problem. Find the minimum prime number greater than or equal to X. Constraints * 2 \le X \le 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: X Output Print the minimum prime number greater th...
instruction
0
100,113
5
200,226
"Correct Solution: ``` x=int(input()) if x <4: print(x);exit() while 1: for i in range(2,int(x**.5)+1): if x%i:continue break else:print(x);exit() x+=1 ```
output
1
100,113
5
200,227