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Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replace N with N/K; otherwise, replace N with N-K. In how m...
instruction
0
62,046
22
124,092
"Correct Solution: ``` N = int(input()) def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) return divisors divlist = make_divisors(N) count = 0 for i in divlist[1:]: ...
output
1
62,046
22
124,093
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replace N with N/K; otherwise, replace N with N-K. In how m...
instruction
0
62,047
22
124,094
"Correct Solution: ``` def divisors(n): lst = []; i = 1 while i * i <= n: q, r = divmod(n, i) if r == 0: lst.append(i) if i != q: lst.append(q) i += 1 return lst N = int(input()) ans = len(divisors(N-1)) - 1 divs = divisors(N) for k in divs: if k == 1: co...
output
1
62,047
22
124,095
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replace N with N/K; otherwise, replace N with N-K. In how m...
instruction
0
62,051
22
124,102
"Correct Solution: ``` def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) divisors.sort() return divisors def all_pattern(l): global n ans=0 for ds in m...
output
1
62,051
22
124,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replac...
instruction
0
62,053
22
124,106
Yes
output
1
62,053
22
124,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replac...
instruction
0
62,054
22
124,108
Yes
output
1
62,054
22
124,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replac...
instruction
0
62,056
22
124,112
Yes
output
1
62,056
22
124,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replac...
instruction
0
62,057
22
124,114
No
output
1
62,057
22
124,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replac...
instruction
0
62,058
22
124,116
No
output
1
62,058
22
124,117
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n greater or equal to 2. For every pair of integers a and b (2 ≤ |a|, |b| ≤ n), you can transform a into b if and only if there exists an integer x such that 1 < |x| and (a ⋅ x = b or b ⋅ x = a), where |x| de...
instruction
0
62,300
22
124,600
Tags: dfs and similar, graphs, implementation, math Correct Solution: ``` from collections import defaultdict, Counter,deque from math import sqrt, log10, log, floor, factorial,gcd from bisect import bisect_left, bisect_right from itertools import permutations,combinations from heapq import heapify,heappop,heappush imp...
output
1
62,300
22
124,601
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,479
22
124,958
Tags: constructive algorithms, math Correct Solution: ``` for _ in range(int(input())): n = int(input()) k = 4*n for i in range(n): print(k-2*i,end=" ") print() ```
output
1
62,479
22
124,959
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,480
22
124,960
Tags: constructive algorithms, math Correct Solution: ``` t=int(input()) for i in range(t): n=int(input()) l=[] if n==1: print(n) else: a=(2*n)+2 b=(4*n)+1 for k in range(a,b): if k%2==0: l.append(k) if n!=1: print(*l) ...
output
1
62,480
22
124,961
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,481
22
124,962
Tags: constructive algorithms, math Correct Solution: ``` t = int(input()) for i in range(t): n = int(input()) lst1 = [] for i in range(1,4*n+1): lst1.append(2*i) for i in range(n-1,2*n-1): print(lst1[i],end = " ") print() ```
output
1
62,481
22
124,963
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,482
22
124,964
Tags: constructive algorithms, math Correct Solution: ``` from sys import stdin def main(): input = lambda: stdin.readline()[:-1] T = int(input()) for _ in [0] * T: N = int(input()) chair = 4 * N ans = [] for _ in range(N): ans.append(chair) chair -=...
output
1
62,482
22
124,965
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,483
22
124,966
Tags: constructive algorithms, math Correct Solution: ``` #include <CodeforcesSolutions.h> #include <ONLINE_JUDGE <solution.cf(contestID = "1443",questionID = "A",method = "GET")>.h> """ Author : thekushalghosh Team : CodeDiggers I prefer Python language over the C++ language :p :D Visit my...
output
1
62,483
22
124,967
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,484
22
124,968
Tags: constructive algorithms, math Correct Solution: ``` try: t=int(input()) for i in range(t): n=int(input()) p=[] limit=4*n first=limit-2 for i in range(first,0,-2): flag="Blue" for j in range(len(p)): if p[j]%i==0: ...
output
1
62,484
22
124,969
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,485
22
124,970
Tags: constructive algorithms, math Correct Solution: ``` t=int(input()) for i in range(t): n=int(input()) s='' k=4*n for i in range(n): s=s+str(k)+" " k=k-2 print(s) ```
output
1
62,485
22
124,971
Provide tags and a correct Python 3 solution for this coding contest problem. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a a...
instruction
0
62,486
22
124,972
Tags: constructive algorithms, math Correct Solution: ``` import math for t in range(int(input())): n = int(input()) li = list() tr = 4*n li.append(tr) while(len(li)<n): while(tr>=1): if(math.gcd(tr,li[-1]) not in [1,tr,li[-1]]): li.append(tr) brea...
output
1
62,486
22
124,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,487
22
124,974
Yes
output
1
62,487
22
124,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,488
22
124,976
Yes
output
1
62,488
22
124,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,489
22
124,978
Yes
output
1
62,489
22
124,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,490
22
124,980
Yes
output
1
62,490
22
124,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,491
22
124,982
No
output
1
62,491
22
124,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,492
22
124,984
No
output
1
62,492
22
124,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,493
22
124,986
No
output
1
62,493
22
124,987
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known t...
instruction
0
62,494
22
124,988
No
output
1
62,494
22
124,989
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,594
22
125,188
Tags: greedy, implementation, math Correct Solution: ``` y,k,n=map(int,input().split(" ")) if y>=n: print(-1) else: x=k-y%k flag=0 while x<=n-y: flag=1 print(x,end=" ") x=x+k if flag==0: print(-1) ```
output
1
62,594
22
125,189
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,595
22
125,190
Tags: greedy, implementation, math Correct Solution: ``` y, k ,n = map(int, input().split()) if n > y: x = n - y else: x = n + 2*k while (x + y)%k != 0: x -= (x + y)%k result = [] while (x + y) <= n and x >0 : result.append(x) x -= k if result: result.sort() print(" ".join([str(j) for ...
output
1
62,595
22
125,191
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,596
22
125,192
Tags: greedy, implementation, math Correct Solution: ``` y, k, n = map(int, input().split()) print(' '.join(map(str, range(y//k*k+k-y, n-y+1, k))) if n//k>y//k else -1) """a,b,c=map(int,input().split()) d=0 for x in range(1,c): a+=x if a%b==0 and a<c: d+=x break a-=x if c-a<b: print...
output
1
62,596
22
125,193
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,597
22
125,194
Tags: greedy, implementation, math Correct Solution: ``` y, k, n = [int(i) for i in input().split()] border = n//k flag = 0 for q in range(1, border + 1): x = k*q - y if x >= 1: print(x, end=" ") flag = 1 if not flag: print(-1) ```
output
1
62,597
22
125,195
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,598
22
125,196
Tags: greedy, implementation, math Correct Solution: ``` y, k, n = [int(i) for i in input().split()] s = [] start = k - y % k stop = n - y + 1 for i in range(start, stop, k): s += [i] if len(s)>0: print(' '.join(map(str, s))) else: print(-1) ```
output
1
62,598
22
125,197
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,599
22
125,198
Tags: greedy, implementation, math Correct Solution: ``` temp = list(map(int, input().split())) y = temp[0] k = temp[1] n = temp[2] possible = [] c = 1 x = None while True: x = c * k - y if x + y > n: break if x > 0: possible.append(x) c += 1 if len(possible) == 0: print('-1') else: ...
output
1
62,599
22
125,199
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,600
22
125,200
Tags: greedy, implementation, math Correct Solution: ``` import sys inf = float("inf") # sys.setrecursionlimit(10000000) # abc='abcdefghijklmnopqrstuvwxyz' # abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's'...
output
1
62,600
22
125,201
Provide tags and a correct Python 3 solution for this coding contest problem. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that ...
instruction
0
62,601
22
125,202
Tags: greedy, implementation, math Correct Solution: ``` from sys import stdin, stdout if not __debug__: stdin = open("input.txt", "r") tcs = int(stdin.readline()) if not __debug__ else 1 t = 1 while t<=tcs: y, k, n = map(int, stdin.readline().split()) b = y//k + 1 e = n//k + 1 if b<e: ...
output
1
62,601
22
125,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,603
22
125,206
Yes
output
1
62,603
22
125,207
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,190
22
126,380
Tags: graphs, implementation Correct Solution: ``` n,m = map(int, input().split()) a = [] b = [] for i in range(m): aa,bb = list(map(int, input().split())) a.append(aa) b.append(bb) cand = [a[0], b[0]] good = 0 for c in cand: #check each c rest = 0 d = {} for i in range(m): if (a[i] == c or ...
output
1
63,190
22
126,381
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,191
22
126,382
Tags: graphs, implementation Correct Solution: ``` n,m=map(int,input().split()) arr=[list(map(int,input().split())) for i in range(m)] a=arr[0][0] b=arr[0][1] arr1=[] arr2=[] for i in range(m): if a not in arr[i]: arr1.append(arr[i]) if b not in arr[i]: arr2.append(arr[i]) try: s1=set(arr1[0...
output
1
63,191
22
126,383
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,192
22
126,384
Tags: graphs, implementation Correct Solution: ``` inp = input().split() n = int(inp[0]); m = int(inp[1]) pairs = [] flag = True x = x1 = x2 = y = y1 = y2 = 0 for i in range(m): inp = input().split() pairs.append(inp) for i in range(m): if (i==0): x = pairs[i][0] continue if((x not in ...
output
1
63,192
22
126,385
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,193
22
126,386
Tags: graphs, implementation Correct Solution: ``` # for t in range(int(input())): # s = input() # i, j = 0, 0 # cnt = 0 # ans = float('inf') # dic = {} # while j < len(s): # if len(dic) < 3: # dic[s[j]] = dic.get(s[j], 0) + 1 # # print(j) # # print(dic) # ...
output
1
63,193
22
126,387
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,194
22
126,388
Tags: graphs, implementation Correct Solution: ``` n, m = map(int, input().split()) pairs = [] d = set() for i in range(m): a, b = map(int, input().split()) pairs.append([a, b]) if a not in d and b not in d: if len(d) >= 4: print('NO') exit() else: d.add...
output
1
63,194
22
126,389
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,195
22
126,390
Tags: graphs, implementation Correct Solution: ``` from sys import stdin,stdout from itertools import combinations from collections import defaultdict,OrderedDict import math import heapq def listIn(): return list((map(int,stdin.readline().strip().split()))) def stringListIn(): return([x for x in stdin.readli...
output
1
63,195
22
126,391
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,196
22
126,392
Tags: graphs, implementation Correct Solution: ``` # take input n, m = input().split(sep = ' ') n= int(n) m= int(m) a = [] b = [] for i in range(m): ai, bi = input().split(sep = ' ') a.append(int(ai)) b.append(int(bi)) ################### End input ######################### for x in [a[0], b[0]]: n...
output
1
63,196
22
126,393
Provide tags and a correct Python 3 solution for this coding contest problem. Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m). He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at le...
instruction
0
63,197
22
126,394
Tags: graphs, implementation Correct Solution: ``` import sys from collections import defaultdict strInp = lambda : input().strip().split() intInp = lambda : list(map(int,strInp())) def checkAns (x1, pairs): ans = False allPssed = True for i in range(len(pairs)): if x1 not in pairs[i]: ...
output
1
63,197
22
126,395
Provide a correct Python 3 solution for this coding contest problem. Given are integers N and X. For each integer k between 0 and X (inclusive), find the answer to the following question, then compute the sum of all those answers, modulo 998244353. * Let us repeat the following operation on the integer k. Operation: ...
instruction
0
64,621
22
129,242
"Correct Solution: ``` import sys from collections import deque, defaultdict import copy import bisect sys.setrecursionlimit(10 ** 9) import math import heapq from itertools import product, permutations,combinations import fractions from operator import itemgetter import sys def input(): return sys.stdin.readline().s...
output
1
64,621
22
129,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are integers N and X. For each integer k between 0 and X (inclusive), find the answer to the following question, then compute the sum of all those answers, modulo 998244353. * Let us repe...
instruction
0
64,624
22
129,248
Yes
output
1
64,624
22
129,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are integers N and X. For each integer k between 0 and X (inclusive), find the answer to the following question, then compute the sum of all those answers, modulo 998244353. * Let us repe...
instruction
0
64,626
22
129,252
Yes
output
1
64,626
22
129,253
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are integers N and X. For each integer k between 0 and X (inclusive), find the answer to the following question, then compute the sum of all those answers, modulo 998244353. * Let us repe...
instruction
0
64,627
22
129,254
Yes
output
1
64,627
22
129,255
Provide a correct Python 3 solution for this coding contest problem. Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege...
instruction
0
64,761
22
129,522
"Correct Solution: ``` def prime(n): prime_flag = [0 for i in range(n + 1)] prime_list = [] for i in range(2, n + 1): if prime_flag[i] == 0: prime_list.append(i) temp = 1 while temp * i <= n: prime_flag[temp * i] = 1 temp += 1 ...
output
1
64,761
22
129,523
Provide a correct Python 3 solution for this coding contest problem. Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege...
instruction
0
64,762
22
129,524
"Correct Solution: ``` p=[] for i in range(2,10001): for j in range(2,int(i**0.5)+1): if not i%j:break else:p+=[i] b=[0]*5736397 for i in range(len(p)): c=0 for j in range(i,len(p)): c+=p[j] b[c]+=1 while 1: n=int(input()) if n==0:break print(b[n]) ```
output
1
64,762
22
129,525
Provide a correct Python 3 solution for this coding contest problem. Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege...
instruction
0
64,763
22
129,526
"Correct Solution: ``` import math isPrime = [1 for _ in range (10002)] isPrime[:2] = [0, 0] for i in range(2, 101): for j in range(i*i, 10001, i): isPrime[j] = 0 prime = [] for i in range(10001): if isPrime[i] == 1: prime.append(i) while True: n = int(input()) if n == 0: break ...
output
1
64,763
22
129,527
Provide a correct Python 3 solution for this coding contest problem. Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The intege...
instruction
0
64,764
22
129,528
"Correct Solution: ``` primes = [0, 0] + [1]*9999 for i in range(2, 101): if primes[i]: for j in range(i*i, 10001, i): primes[j] = 0 pnums = [i for i in range(10001) if primes[i]] while True: n = int(input()) if n == 0: break m = n while not primes[m]: m -= 1 ...
output
1
64,764
22
129,529