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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,273
22
130,546
Yes
output
1
65,273
22
130,547
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,274
22
130,548
Yes
output
1
65,274
22
130,549
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,275
22
130,550
Yes
output
1
65,275
22
130,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,276
22
130,552
Yes
output
1
65,276
22
130,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,277
22
130,554
No
output
1
65,277
22
130,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,278
22
130,556
No
output
1
65,278
22
130,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,279
22
130,558
No
output
1
65,279
22
130,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today Pari and Arya are playing a game called Remainders. Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers...
instruction
0
65,280
22
130,560
No
output
1
65,280
22
130,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The fact that any positive integer has a representation as the sum of at most four positive squares (i.e. squares of positive integers) is known as Lagrange’s Four-Square Theorem. The first publ...
instruction
0
65,573
22
131,146
No
output
1
65,573
22
131,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The fact that any positive integer has a representation as the sum of at most four positive squares (i.e. squares of positive integers) is known as Lagrange’s Four-Square Theorem. The first publ...
instruction
0
65,575
22
131,150
No
output
1
65,575
22
131,151
Provide tags and a correct Python 3 solution for this coding contest problem. Consider some positive integer x. Its prime factorization will be of form x = 2^{k_1} β‹… 3^{k_2} β‹… 5^{k_3} β‹… ... Let's call x elegant if the greatest common divisor of the sequence k_1, k_2, ... is equal to 1. For example, numbers 5 = 5^1, 1...
instruction
0
65,626
22
131,252
Tags: combinatorics, math, number theory Correct Solution: ``` from math import sqrt, log2 from sys import stdin from bisect import bisect import time def all_primes(n): res = [] for i in range(1, n+1): prime = True for j in range(2, min(int(sqrt(i))+2, i)): if i % j == 0: ...
output
1
65,626
22
131,253
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider some positive integer x. Its prime factorization will be of form x = 2^{k_1} β‹… 3^{k_2} β‹… 5^{k_3} β‹… ... Let's call x elegant if the greatest common divisor of the sequence k_1, k_2, ......
instruction
0
65,627
22
131,254
No
output
1
65,627
22
131,255
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider some positive integer x. Its prime factorization will be of form x = 2^{k_1} β‹… 3^{k_2} β‹… 5^{k_3} β‹… ... Let's call x elegant if the greatest common divisor of the sequence k_1, k_2, ......
instruction
0
65,628
22
131,256
No
output
1
65,628
22
131,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider some positive integer x. Its prime factorization will be of form x = 2^{k_1} β‹… 3^{k_2} β‹… 5^{k_3} β‹… ... Let's call x elegant if the greatest common divisor of the sequence k_1, k_2, ......
instruction
0
65,629
22
131,258
No
output
1
65,629
22
131,259
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider some positive integer x. Its prime factorization will be of form x = 2^{k_1} β‹… 3^{k_2} β‹… 5^{k_3} β‹… ... Let's call x elegant if the greatest common divisor of the sequence k_1, k_2, ......
instruction
0
65,630
22
131,260
No
output
1
65,630
22
131,261
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,637
22
131,274
Tags: constructive algorithms, math Correct Solution: ``` v=int(input()) n=v if(n==1): print(1) elif(n==2): print(2) else: print(1) ```
output
1
65,637
22
131,275
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,638
22
131,276
Tags: constructive algorithms, math Correct Solution: ``` n = int(input()) print([1, n][n < 3]) ```
output
1
65,638
22
131,277
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,639
22
131,278
Tags: constructive algorithms, math Correct Solution: ``` v = int(input()) if v != 2: print(1) else: print(2) ```
output
1
65,639
22
131,279
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,640
22
131,280
Tags: constructive algorithms, math Correct Solution: ``` print("2") if (int(input()) == 2) else print("1") ```
output
1
65,640
22
131,281
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,641
22
131,282
Tags: constructive algorithms, math Correct Solution: ``` x=int(input());print(1 if x!=2 else 2) #author:SK__Shanto__γ‹› #code__define__your__smartness ```
output
1
65,641
22
131,283
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,642
22
131,284
Tags: constructive algorithms, math Correct Solution: ``` n = int(input()) print(1 if n != 2 else n) ```
output
1
65,642
22
131,285
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,643
22
131,286
Tags: constructive algorithms, math Correct Solution: ``` #start the code from here # t=int(input()) # st=input() # l=list(map(int,input().split())) # a,b=map(int,input().split()) # for i in range(t): t=int(input()); if t==2: print(2); else: print(2//2); ```
output
1
65,643
22
131,287
Provide tags and a correct Python 3 solution for this coding contest problem. Chouti was doing a competitive programming competition. However, after having all the problems accepted, he got bored and decided to invent some small games. He came up with the following game. The player has a positive integer n. Initially...
instruction
0
65,644
22
131,288
Tags: constructive algorithms, math Correct Solution: ``` #codeforces _1081A_live gi = lambda : list(map(int,input().split())) n, = gi() if n == 2: print(2) exit() print(1) ```
output
1
65,644
22
131,289
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,941
22
131,882
Tags: math Correct Solution: ``` n=int(input()) L=list(map(int,input().split())) Q=0 X=[0]*1000001 for i in range(1,1000001): X[i]=X[i-1]^i for i in range(1,n+1): Q^=L[i-1] x=n%i y=n//i if(y%2==1): Q^=X[i-1] Q^=X[x] print(Q) ```
output
1
65,941
22
131,883
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,942
22
131,884
Tags: math Correct Solution: ``` def getXorSuffix(i, n, xor): res = 0 if (n//(i+1)) % 2 == 0 else xor[i] return res^xor[n%(i+1)] n = int(input()) p = [int(x) for x in input().split()] xor = [0 for i in range(n+1)] for i in range(1, n+1): xor[i] = i^xor[i-1] ans = 0 for i in range(len(p)): ans ^= p[i]...
output
1
65,942
22
131,885
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,943
22
131,886
Tags: math Correct Solution: ``` n=int(input()) arr = list(map(int,input().split())) pre_fix_xor= [] pre_fix_xor.append(0) for j in range(1,n): pre_fix_xor.append(pre_fix_xor[j-1]^j) ans = 0 for i in range(n): ans^=arr[i] if (n//(i+1))%2==0: valu=(n%(i+1)) ans^=pre_fix_xor[valu] else: ...
output
1
65,943
22
131,887
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,944
22
131,888
Tags: math Correct Solution: ``` import sys def solve(n, p): tab = [0 for _ in range(n)] for i in range(1, n): tab[i] = tab[i - 1] ^ i columns = [] for i in range(1, n + 1): cycles = n // i rem = n % i if cycles % 2 == 0: columns.append(tab[rem]) e...
output
1
65,944
22
131,889
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,946
22
131,892
Tags: math Correct Solution: ``` n,p,l,k,q=int(input()),list(map(int,input().split())),[],0,0 for i in range(n):k^=i;l+=[k] for i in range(n):r=i+1;q^=p[i]^l[i]*(n//r%2)^l[n%r] print(q) ```
output
1
65,946
22
131,893
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,947
22
131,894
Tags: math Correct Solution: ``` from functools import reduce from operator import xor from itertools import accumulate n, a = int(input()), list(map(int, input().split())) arr, mem = [0], list(accumulate([i for i in range(n + 1)], lambda x, y: x ^ y)) for i in range(2, n + 1): if n % i == 0: arr.append(...
output
1
65,947
22
131,895
Provide tags and a correct Python 3 solution for this coding contest problem. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some magic formulas: <image><image> Here, "mod" mea...
instruction
0
65,948
22
131,896
Tags: math Correct Solution: ``` '''input 3 1 2 3 ''' from sys import stdin, stdout # main starts n = int(stdin.readline().strip()) arr = list(map(int, stdin.readline().split())) val1 = 0 for i in arr: val1 ^= i store = [0] * (n + 1) for i in range(1, n + 1): c = n // i store[0] += c store[i] -= c r = n % i i...
output
1
65,948
22
131,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,949
22
131,898
Yes
output
1
65,949
22
131,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,950
22
131,900
Yes
output
1
65,950
22
131,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,951
22
131,902
Yes
output
1
65,951
22
131,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,952
22
131,904
Yes
output
1
65,952
22
131,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,953
22
131,906
No
output
1
65,953
22
131,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,954
22
131,908
No
output
1
65,954
22
131,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,955
22
131,910
No
output
1
65,955
22
131,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers p1, p2, ..., pn. Lets write down some m...
instruction
0
65,956
22
131,912
No
output
1
65,956
22
131,913
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,476
22
132,952
Tags: combinatorics, dp, math Correct Solution: ``` import sys input = sys.stdin.readline n,l,r = list(map(int,input().strip().split())) mod = 1000000007 x=r-l+1 t=x//3 if(x%3==0): m0,m1,m2 = t,t,t elif(x%3==1): m0,m1,m2 = t+1,t,t elif(x%3==2): m0,m1,m2 = t+1,t+1,t if(l%3==0): m0,m1,m2 = m0,m1,m2 elif...
output
1
66,476
22
132,953
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,477
22
132,954
Tags: combinatorics, dp, math Correct Solution: ``` n,l,r=map(int,input().split()) t=0,1,2 d=[(r-i)//3-(l-i-1)//3for i in t] s=1,0,0 for _ in range(n):s=[sum(s[i]*d[(j-i)%3]for i in t)%(10**9+7)for j in t] print(s[0]) ```
output
1
66,477
22
132,955
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,478
22
132,956
Tags: combinatorics, dp, math Correct Solution: ``` def count(first, last): # an = a+(n-1)*d last -= fast last = last // d last += 1 return last n, l, r = list(map(int, input().split())) rem = [1, 0, 0] rem[0] = r//3-(l-1)//3 rem[1] = (r+2)//3-(l-1+2)//3 rem[2] = (r+1)//3-(l-1+1)//3 dp = [[0 for ...
output
1
66,478
22
132,957
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,479
22
132,958
Tags: combinatorics, dp, math Correct Solution: ``` n, l, r = map(int, input().split()) c0 = (r//3*3-l//3*3)//3+1 c1 = (r//3*3-l//3*3)//3 c2 = (r//3*3-l//3*3)//3 if(l%3==1): c0-=1 elif(l%3==2): c0-=1 c1-=1 if(r%3==1): c1+=1 elif(r%3==2): c2+=1 c1+=1 cnt0 = [c0] cnt1 = [c1] cnt2 = [c2] for i in r...
output
1
66,479
22
132,959
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,480
22
132,960
Tags: combinatorics, dp, math Correct Solution: ``` # ========= /\ /| |====/| # | / \ | | / | # | /____\ | | / | # | / \ | | / | # ========= / \ ===== |/====| # code if __name__ == "__main__": n,l,r = map(int,input().sp...
output
1
66,480
22
132,961
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,481
22
132,962
Tags: combinatorics, dp, math Correct Solution: ``` n,l,r=map(int,input().split()) k=(r-l+1)//3 f,N=[[k],[k],[k]],(10**9+7) for _ in range((r-l+1)%3):f[(r-_)%3][0]+=1 a,b,c=f[0][0],f[1][0],f[2][0] for i in range(n-1): x=(a*f[0][0]+b*f[2][0]+c*f[1][0])%N y=(a*f[1][0]+b*f[0][0]+c*f[2][0])%N z=(b*f[1][0]+c*f[...
output
1
66,481
22
132,963
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,482
22
132,964
Tags: combinatorics, dp, math Correct Solution: ``` n, l, r = [int(v) for v in input().split()] m = r - l r = (m // 3 + 1, (m - 1) // 3 + 1, (m - 2) // 3 + 1) rem = l % 3 if rem == 0: r0, r1, r2 = r elif rem == 1: r1, r2, r0 = r else: r2, r0, r1 = r w0, w1, w2 = r0, r1, r2 mod = 1000000007 for _ in range(...
output
1
66,482
22
132,965
Provide tags and a correct Python 3 solution for this coding contest problem. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements was divisible by 3. Unfortunately, Ayoub has...
instruction
0
66,483
22
132,966
Tags: combinatorics, dp, math Correct Solution: ``` n,l,r=map(int,input().split()) a=r//3 - (l-1)//3 l1=l r1=r mod=10**9 + 7 if r1%3!=2: r1-= ((r1%3) + 1) if l1%3!=2: l1+= (-(l1%3) + 2) b=(r1 - l1)//3 + 1 l1=l r1=r if r1%3!=1: r1-= (2-(r1%3) ) if l1%3==2: l1+=2 elif l1%3==0: l1+=1 c=(r1-l1)//3 + 1...
output
1
66,483
22
132,967
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements w...
instruction
0
66,484
22
132,968
Yes
output
1
66,484
22
132,969
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements w...
instruction
0
66,485
22
132,970
Yes
output
1
66,485
22
132,971
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements w...
instruction
0
66,486
22
132,972
Yes
output
1
66,486
22
132,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ayoub had an array a of integers of size n and this array had two interesting properties: * All the integers in the array were between l and r (inclusive). * The sum of all the elements w...
instruction
0
66,487
22
132,974
Yes
output
1
66,487
22
132,975