input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
from math import gcd K = int(eval(input())) res = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): s = gcd(a,b) res += gcd(s,c) print(res)
from math import gcd K = int(eval(input())) res = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): res += gcd(gcd(a,b),c) print(res)
p02713
import math from functools import reduce import itertools K = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) count = 0 for i, j , k in itertools.product(list(range(K)), list(range(K)), list(range(K))): count += gcd(i+1,j+1,k+1) print(count)
import math K = int(eval(input())) count = 0 for i in range(K): for j in range(K): x = math.gcd(i+1,j+1) for k in range(K): count += math.gcd(x,k+1) print(count)
p02713
import math k = int(eval(input())) ans = 0 for i in range(1,k+1): for j in range(1,k+1): for m in range(1,k+1): ans +=math.gcd(math.gcd(i,j),m) print(ans)
import math K = int(eval(input())) lists = [] for i in range(1, K + 1): for j in range(1, K + 1): mid = math.gcd(i, j) for k in range(1, K + 1): lists.append(math.gcd(mid, k)) print((sum(lists)))
p02713
K = int(eval(input())) def gcd(n,m,l): A = [ n , m , l ] A = sorted(A) while A[0] % A[2] != 0 : A[0] , A[2] = A[2] , A[0] % A[2] while A[1] % A[2] != 0 : A[1] , A[2] = A[2] , A[1] % A[2] return A[2] S = 0 for a in range (1, K + 1): for b in range (1, K + 1): for c in range (1, K + 1): S += gcd(a, b, c) print ( S )
K = int(eval(input())) def gcd(n,m,l): if n < m : n , m = m , n while n % m != 0 : n , m = m , n % m if m < l : m , l = l , m while m % l != 0 : m , l = l , m % l return l S = 0 for a in range (1, K + 1): for b in range (1, K + 1): for c in range (1, K + 1): S += gcd(a, b, c) print ( S )
p02713
from sys import stdin import math from functools import reduce def main(): input = stdin.readline K = int(eval(input())) ans_sum = 0 for i in range(1,K+1): for j in range(i,K+1): for k in range(j,K+1): check = [i,j,k] sum_type = len(set(check)) if sum_type == 1: ans_sum += gcd(i,j,k) elif sum_type == 2: ans_sum += gcd(i,j,k) * 3 else: ans_sum += gcd(i,j,k) * 6 print(ans_sum) def gcd(*numbers): return reduce(math.gcd, numbers) if __name__ == "__main__": main()
import math K = int(eval(input())) ans = 0 for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): ans += math.gcd(math.gcd(a,b),c) print(ans)
p02713
import math K = int(eval(input())) ans = 0 for i in range(1, K + 1): for j in range(1, K + 1): for k in range(1, K + 1): x = math.gcd(i, j) ans += math.gcd(x, k) print(ans)
import math K = int(eval(input())) ans = 0 a = 0 b = 0 c = 0 for i in range(1, K + 1): a += i for i in range(1, K): for j in range(i + 1, K + 1): b += math.gcd(i, j) * 6 for i in range(1, K - 1): for j in range(i + 1, K): for k in range(j + 1, K + 1): x = math.gcd(i, j) c += math.gcd(x, k) * 6 ans = a + b + c print(ans)
p02713
import math K = int(eval(input())) S = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): S += math.gcd(math.gcd(a, b), c) print(S)
import math K = int(eval(input())) S = 0 for a in range(1, K+1): for b in range(1, K+1): g = math.gcd(a, b) for c in range(1, K+1): S += math.gcd(g, c) print(S)
p02713
import math from functools import reduce n = int(eval(input())) count = 0 def gcd(*numbers): return reduce(math.gcd, numbers) for i in range(1,n+1): for j in range(1,n+1): for k in range(1,n+1): m = gcd(i,j,k) count += m print(count)
import math n = int(eval(input())) count = 0 for i in range(1,n+1): for j in range(1,n+1): t = math.gcd(i,j) for k in range(1,n+1): m = math.gcd(t,k) count += m print(count)
p02713
import math from functools import reduce num = int(eval(input())) ans = 0 for i in range(1, num + 1): for j in range(1, num + 1): for k in range(1, num + 1): ans += math.gcd(math.gcd(i, j), k) print(ans)
import math num = int(eval(input())) ans = 0 for i in range(1, num + 1): for j in range(1, num + 1): tmp = math.gcd(i, j) for k in range(1, num + 1): ans += math.gcd(tmp, k) print(ans)
p02713
def gcd(a, b): while b: a, b = b, a % b return a K = int(eval(input())) L = [[[0] * K for _ in range(K)] for _ in range(K)] ans = 0 for a in range(1, K+1): for b in range(1, K+1): d = gcd(a, b) for c in range(1, K+1): x, y, z = sorted([a, b, c]) x -= 1 y -= 1 z -= 1 if L[x][y][z] != 0: ans += L[x][y][z] else: t = gcd(d, c) ans += t L[x][y][z] = t print(ans)
def gcd(a, b): while b: a, b = b, a % b return a K = int(eval(input())) L = [[0] * (K+1) for _ in range(K+1)] ans = 0 for a in range(1, K+1): for b in range(1, K+1): x, y = sorted([a, b]) if L[x][y] == 0: d = gcd(a, b) L[x][y] = d else: d = L[x][y] for c in range(1, K+1): x, y = sorted([d, c]) if L[x][y] == 0: t = gcd(d, c) L[x][y] = t ans += t else: ans += L[x][y] print(ans)
p02713
import math from functools import reduce K = int(eval(input())) sum = 0 for i in range(1,K+1): for j in range(1, K+1): for k in range(1, K+1): gcd = math.gcd(k, math.gcd(i, j)) sum = sum + gcd print(sum)
from math import gcd k = int(eval(input())) sum = 0 for a in range(1, k + 1): for b in range(1, k + 1): for c in range(1, k + 1): sum += gcd(c, gcd(a, b)) print(sum)
p02713
import math import itertools k=int(eval(input())) ans=0 for i in range(1,k+1) : for j in range(1,k+1) : x=math.gcd(i,j) for k in range(1,k+1) : y=math.gcd(i,k) z=math.gcd(x,y) ans+=z print(ans)
from math import gcd k=int(eval(input())) ans=0 for a in range(1,k+1) : for b in range(1,k+1) : for c in range(1,k+1) : ans+=gcd(gcd(a,b),c) print(ans)
p02713
mem = {} def gcd(a, b): global mem if (a, b) not in mem: mem[(a, b)] = a if b == 0 else gcd(b, a%b) return mem[(a, b)] K = int(eval(input())) res = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): res += gcd(gcd(i, j), k) print(res)
import time mem = {} def gcd(a, b): global mem if (a, b) not in mem and (b, a) not in mem: mem[(a, b)] = a if b == 0 else gcd(b, a%b) mem[(b, a)] = mem[(a, b)] return mem[(a, b)] K = int(eval(input())) res = 0 for i in range(1, K+1): for j in range(1, K+1): gcd(i, j) for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): res += mem[(mem[i, j], k)] print(res)
p02713
from math import gcd K = int(eval(input())) res = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): res += gcd(gcd(i, j), k) print(res)
import time def gcd(a, b): return a if b == 0 else gcd(b, a%b) K = int(eval(input())) res = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): res += gcd(gcd(i, j), k) print(res)
p02713
import math k = int(eval(input())) k += 1 ans = 0 for a in range(1, k): for b in range(1, k): for c in range(1, k): ab = math.gcd(a, b) bc = math.gcd(b, c) abc = math.gcd(ab, bc) ans += abc print(ans)
import math k = int(eval(input())) k += 1 ans = 0 ab = [] for a in range(1, k): for b in range(1, k): ab.append(math.gcd(a, b)) for a in ab: for c in range(1, k): ans += math.gcd(a, c) print(ans)
p02713
import math from functools import reduce N=int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) A = 0 for i in range(1,N+1): for j in range(1,N+1): for k in range(1,N+1): A += math.gcd(math.gcd(i,j),k) print(A)
import math N=int(eval(input())) A = 0 for i in range(1,N+1): for j in range(1,N+1): for k in range(1,N+1): A += math.gcd(math.gcd(i,j),k) print(A)
p02713
import sys from math import gcd sys.setrecursionlimit(10 ** 7) rl = sys.stdin.readline def solve(): k = int(rl()) ans = 0 for a in range(1, k + 1): for b in range(1, k + 1): for c in range(1, k + 1): d = gcd(a, b) ans += gcd(c, d) print(ans) if __name__ == '__main__': solve()
import sys from math import gcd sys.setrecursionlimit(10 ** 7) rl = sys.stdin.readline def solve(): k = int(rl()) ans = 0 for a in range(1, k + 1): for b in range(1, k + 1): d = gcd(a, b) for c in range(1, k + 1): ans += gcd(c, d) print(ans) if __name__ == '__main__': solve()
p02713
import math ans = 0 k = int(eval(input())) for i in range(1,k+1): for j in range(1,k+1): for k in range(1,k+1): ans += math.gcd(i,math.gcd(j,k)) print(ans)
from math import gcd ans = 0 k = int(eval(input())) for i in range(1,k+1): for j in range(1,k+1): for k in range(1,k+1): ans += gcd(i,gcd(j,k)) print(ans)
p02713
from math import gcd k = int(eval(input())) うんち = 0 for デビ in range(1,k+1): for デビデ in range(1,k+1): for ビル in range(1,k+1): うんち += gcd(デビ,gcd(デビデ,ビル)) print(うんち)
from math import gcd k = int(eval(input())) うんち = 0 for でびさま in range(1,k+1): for でびでび in range(1,k+1): for でびる in range(1,k+1): うんち += gcd(でびさま,gcd(でびでび,でびる)) print(うんち)
p02713
import math k=int(eval(input())) ans=0 for l in range(1,k+1): for m in range(1,k+1): for n in range(1,k+1): a=math.gcd(l,m) if a==1: ans+=1 else: ans+=math.gcd(a,n) print(ans)
import math k=int(eval(input())) ans=0 for l in range(1,k+1): for m in range(1,k+1): tmp=math.gcd(l,m) for n in range(1,k+1): gcd=math.gcd(tmp,n) ans+=gcd print(ans)
p02713
import math K = int(eval(input())) ans = 0 for i in range(1,K+1): for j in range(1,K+1): for k in range(1,K+1): ans += math.gcd(math.gcd(i,j),k) print(ans)
import math K = int(eval(input())) ans = 0 for i in range(1,K+1): for j in range(1,K+1): temp = math.gcd(i,j) for k in range(1,K+1): ans += math.gcd(temp,k) print(ans)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) num = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): num += gcd(a,b,c) print(num)
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) num = 0 for a in range(1,k+1): for b in range(a,k+1): for c in range(b,k+1): x = gcd(a,b,c) bai = sum([a==b,b==c,a==c]) if bai == 0: num += x*6 elif bai == 1: num += x*3 else: num += x print(num)
p02713
from math import gcd K = int(eval(input())) c = 0 for i in range(1,K+1): for j in range(1,K+1): for l in range(1,K+1): a = gcd(gcd(i,j), l) c += a print(c)
from math import gcd K = int(eval(input())) c = 0 for i in range(1,K+1): for j in range(1,K+1): k = gcd(i,j) for l in range(1,K+1): a = gcd(k, l) c += a print(c)
p02713
import sys sys.setrecursionlimit(10**8) def ii(): return int(sys.stdin.readline()) def mi(): return list(map(int, sys.stdin.readline().split())) def li(): return list(map(int, sys.stdin.readline().split())) def li2(N): return [list(map(int, sys.stdin.readline().split())) for i in range(N)] def dp2(ini, i, j): return [[ini]*i for i2 in range(j)] def dp3(ini, i, j, k): return [[[ini]*i for i2 in range(j)] for i3 in range(k)] #import bisect #bisect.bisect_left(B, a) #from collections import defaultdict #d = defaultdict(int) d[key] += value from math import gcd from functools import reduce def gcd_list(numbers): return reduce(gcd, numbers) K = ii() ans = 0 memo = dp3(-1, K+1, K+1, K+1) for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): #l = sorted([i, j, k]) #l = [i, j, k] #a, b, c = l[0], l[1], l[2] a, b, c = i, j, k if memo[a][b][c] != -1: ans += memo[a][b][c] else: memo[a][b][c] = gcd_list([a, b, c]) memo[i][k][j] = memo[k][i][j] = memo[k][j][i] = memo[j][i][k] = memo[j][k][i] = memo[i][j][k] #memo[i][k][j] = memo[i][j][k] #memo[k][i][j] = memo[i][j][k] #memo[k][j][i] = memo[i][j][k] #memo[j][j][i] = memo[i][j][k] #memo[j][i][k] = memo[i][j][k] ans += memo[a][b][c] #ans += gcd_list([i, j, k]) print(ans)
import sys sys.setrecursionlimit(10**8) def ii(): return int(sys.stdin.readline()) def mi(): return list(map(int, sys.stdin.readline().split())) def li(): return list(map(int, sys.stdin.readline().split())) def li2(N): return [list(map(int, sys.stdin.readline().split())) for i in range(N)] def dp2(ini, i, j): return [[ini]*i for i2 in range(j)] def dp3(ini, i, j, k): return [[[ini]*i for i2 in range(j)] for i3 in range(k)] #import bisect #bisect.bisect_left(B, a) #from collections import defaultdict #d = defaultdict(int) d[key] += value from math import gcd from functools import reduce def gcd_list(numbers): return reduce(gcd, numbers) K = ii() ans = 0 memo = dp3(-1, K+1, K+1, K+1) for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): #l = sorted([i, j, k]) #l = [i, j, k] #a, b, c = l[0], l[1], l[2] #a, b, c = i, j, k #if memo[a][b][c] != -1: #ans += memo[a][b][c] #else: #memo[i][j][k] = gcd_list([i, j, k]) #memo[i][k][j] = memo[k][i][j] = memo[k][j][i] = memo[j][i][k] = memo[j][k][i] = memo[i][j][k] #memo[i][k][j] = memo[i][j][k] #memo[k][i][j] = memo[i][j][k] #memo[k][j][i] = memo[i][j][k] #memo[j][j][i] = memo[i][j][k] #memo[j][i][k] = memo[i][j][k] ans += gcd_list([i, j, k]) #ans += gcd_list([i, j, k]) print(ans)
p02713
import sys sys.setrecursionlimit(10**8) def ii(): return int(sys.stdin.readline()) def mi(): return list(map(int, sys.stdin.readline().split())) def li(): return list(map(int, sys.stdin.readline().split())) def li2(N): return [list(map(int, sys.stdin.readline().split())) for i in range(N)] def dp2(ini, i, j): return [[ini]*i for i2 in range(j)] def dp3(ini, i, j, k): return [[[ini]*i for i2 in range(j)] for i3 in range(k)] #import bisect #bisect.bisect_left(B, a) #from collections import defaultdict #d = defaultdict(int) d[key] += value from math import gcd from functools import reduce def gcd_list(numbers): return reduce(gcd, numbers) K = ii() ans = 0 memo = dp3(-1, K+1, K+1, K+1) for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): #l = sorted([i, j, k]) #l = [i, j, k] #a, b, c = l[0], l[1], l[2] #a, b, c = i, j, k #if memo[a][b][c] != -1: #ans += memo[a][b][c] #else: #memo[i][j][k] = gcd_list([i, j, k]) #memo[i][k][j] = memo[k][i][j] = memo[k][j][i] = memo[j][i][k] = memo[j][k][i] = memo[i][j][k] #memo[i][k][j] = memo[i][j][k] #memo[k][i][j] = memo[i][j][k] #memo[k][j][i] = memo[i][j][k] #memo[j][j][i] = memo[i][j][k] #memo[j][i][k] = memo[i][j][k] ans += gcd_list([i, j, k]) #ans += gcd_list([i, j, k]) print(ans)
import sys sys.setrecursionlimit(10**8) def ii(): return int(sys.stdin.readline()) def mi(): return list(map(int, sys.stdin.readline().split())) def li(): return list(map(int, sys.stdin.readline().split())) def li2(N): return [list(map(int, sys.stdin.readline().split())) for i in range(N)] def dp2(ini, i, j): return [[ini]*i for i2 in range(j)] def dp3(ini, i, j, k): return [[[ini]*i for i2 in range(j)] for i3 in range(k)] #import bisect #bisect.bisect_left(B, a) #from collections import defaultdict #d = defaultdict(int) d[key] += value #from math import gcd from functools import reduce def gcd(a, b): if a < b: a, b = b, a r = a % b if r == 0: return b return gcd(r, b) def gcd_list(numbers): return reduce(gcd, numbers) K = ii() ans = 0 memo = dp3(-1, K+1, K+1, K+1) for i in range(1, K+1): for j in range(i+1, K+1): for k in range(j+1, K+1): ans += gcd_list([i, j, k])*6 for i in range(1, K+1): for j in range(1, K+1): if i!=j: ans += gcd_list([i, i, j])*3 for i in range(1, K+1): ans += gcd_list([i, i, i]) print(ans)
p02713
def gcd(a, b): if b == 0: return a else: return gcd(b, a % b) def f(p, n): if len(p) == 3: global ans t = gcd(p[0], p[1]) t = gcd(t, p[2]) ans += t return t for i in range(1, n+1): f(p+[i], n) ans = 0 k = int(eval(input())) f([], k) print(ans)
from math import gcd ans = 0 k = int(eval(input())) for i in range(1, k + 1): for j in range(1, k + 1): a = gcd(i, j) for l in range(1, k + 1): ans += gcd(a, l) print(ans)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) cnt = 0 for a in range(1, k+1): for b in range(1, k+1): for c in range(1, k+1): cnt += gcd(a, b, c) print(cnt)
import collections import math # math.gcd(a,b) k = int(eval(input())) cnts = collections.defaultdict(int) for i in range(1, k+1): for j in range(1, k+1): cnts[math.gcd(i,j)] += 1 ans = 0 for i in range(1, k+1): for key in list(cnts.keys()): ans += math.gcd(i, key)*cnts[key] print(ans)
p02713
import math import itertools from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) k = int(eval(input())) l = list(itertools.product(list(range(k+1))[1:], repeat=3)) s = 0 for i in l: s += gcd(i[0], i[1], i[2]) print(s)
import math import itertools from functools import reduce def gcd_list(numbers): return reduce(math.gcd, numbers) k = int(eval(input())) l = list(itertools.combinations_with_replacement(list(range(k+1))[1:], 3)) s = 0 n = 0 for i in l: x = len(set(i)) if x == 3: n = 6 elif x == 2: n = 3 elif x == 1: n = 1 s += gcd_list(list(i)) * n print(s)
p02713
def gcd(x, y): if y == 0: return x else: return gcd(y, x % y) K = int(eval(input())) GCD = [[0]*200 for i in range(200)] for i in range(200): for j in range(200): GCD[i][j] = gcd(i+1, j+1) tot = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): s = GCD[j-1][k-1] t = GCD[i-1][s-1] tot += t print(tot)
K = int(eval(input())) GCD = [[0]*200 for i in range(200)] def gcd(x, y): if GCD[x-1][y-1] == 0: if y == 0: return x else: return gcd(y, x % y) else: return GCD[x-1][y-1] tot = 0 for i in range(1, K+1): for j in range(1, K+1): s = gcd(i, j) if s != 1: for k in range(1, K+1): t = gcd(k, s) tot += t else: tot += K print(tot)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) ans = 0 for i in range(1, k+1): for j in range(1, k+1): for k in range(1, k+1): ans += gcd(i, j, k) print(ans)
import math k = int(eval(input())) ans = 0 for i in range(1, k+1): for j in range(1, k+1): num = math.gcd(i, j) for k in range(1, k+1): ans += math.gcd(num, k) print(ans)
p02713
n = int(eval(input())) from math import gcd samu = 0 for i in range(n): for j in range(n): for k in range(n): samu += gcd(gcd(i+1,j+1),k+1) print((str(int(samu))))
k = int(eval(input())) from math import gcd samu = 0 for i in range(1,k+1): for j in range(1,k+1): for k in range(1,k+1): samu += gcd(gcd(i,j),k) print(samu)
p02713
k=int(eval(input())) import math ans=0 for i in range(1,k+1): for j in range(1,k+1): a=math.gcd(i,j) for l in range(1,k+1): ans+=math.gcd(a,l) print(ans)
k=int(eval(input())) import math ans=0 for i in range(1,k+1): for j in range(1,k+1): for l in range(1,k+1): a=math.gcd(i,j) ans+=math.gcd(a,l) print(ans)
p02713
import math k = int(eval(input())) ans = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): ans += math.gcd(a,math.gcd(b,c)) print(ans)
from math import gcd k = int(eval(input())) ans = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): ans += gcd(a,gcd(b,c)) print(ans)
p02713
from math import gcd k = int(eval(input())) ans = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): ans += gcd(a,gcd(b,c)) print(ans)
from math import gcd k = int(eval(input())) ans = 0 for a in range(1,k+1): for b in range(1,k+1): p = gcd(a,b) for c in range(1,k+1): ans += gcd(p,c) print(ans)
p02713
import math from functools import reduce k = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) cnt = 0 for a in range(k): for b in range(k): for c in range(k): cnt = cnt + gcd(a+1,b+1,c+1) print(cnt)
import math k = int(eval(input())) cnt = 0 for a in range(k): for b in range(k): for c in range(k): cnt = cnt + math.gcd(math.gcd(a+1,b+1),c+1) print(cnt)
p02713
K = int(eval(input())) def gcd(a, b): while b: a, b = b, a % b return a ans = 0 for a in range(K): a += 1 if a == 1: ans += K*K continue for b in range(K): b += 1 if b == 1: ans += K continue tmp = gcd(a, b) for c in range(K): c += 1 if c == 1: ans += 1 continue dada = gcd(tmp, c) ans += dada # print(dada) print(ans)
K = int(eval(input())) def gcd(a, b): while b: a, b = b, a % b return a ans = 0 for a in range(K): a += 1 if a == 1: ans += K*K continue for b in range(K): b += 1 if b == 1: ans += K continue tmp = gcd(a, b) if tmp == 1: ans += K continue for c in range(K): c += 1 if c == 1: ans += 1 continue dada = gcd(tmp, c) ans += dada # print(dada) print(ans)
p02713
import math a = int(eval(input())) ans = 0 for i in range(1, a+1): for j in range(1, a+1): for k in range(1, a+1): ans += math.gcd(math.gcd(i, j), k) print(ans)
import math a = int(eval(input())) ans = 0 for i in range(1, a+1): for j in range(1, a+1): num = math.gcd(i, j) for k in range(1, a+1): ans += math.gcd(num, k) print(ans)
p02713
from itertools import product from math import gcd K = int(eval(input())) print((sum([gcd(a,gcd(b,c)) for a,b,c in [i for i in product(list(range(1, K+1)), repeat=3)]])))
from math import gcd K = int(eval(input())) ans = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): ans += gcd(a,gcd(b,c)) print(ans)
p02713
from math import gcd K = int(eval(input())) ans = 0 for a in range(1,K+1): for b in range(1,K+1): g = gcd(a,b) for c in range(1,K+1): ans += gcd(g,c) print(ans)
from math import gcd K = int(eval(input())) ans = 0 for i in range(1,K+1): for j in range(1,K+1): g = gcd(i,j) for k in range(1,K+1): ans += gcd(g,k) print(ans)
p02713
import math n = int(eval(input())) total = 0 for i in range(1, n + 1): for j in range(1, n + 1): for k in range(1, n + 1): total += math.gcd(i, math.gcd(j, k)) print(total)
import math n = int(eval(input())) total1 = 0 for i in range(1, n + 1): for j in range(i+1, n + 1): for k in range(j+1, n + 1): total1 += math.gcd(i, math.gcd(j, k)) total1 = 6*total1 total2 = 0 for i in range(1, n + 1): for j in range(i+1, n + 1): total2 += math.gcd(i, j) total2 = 6*total2 total3 = 0 for i in range(1, n + 1): total3 += i print((total1 + total2 + total3))
p02713
def u(a,b): if(a<b): z = b b = a a = z r = a % b while(r!=0): a = b b = r r = a % b return b l = int(eval(input())) s = 0 for i in range(1,l+1): for i2 in range(1,l+1): z = u(i,i2) for i3 in range(1,l+1): z2 = u(z,i3) s+=z2 print (s)
def u(a,b): if(a<b): z = b b = a a = z r = a % b while(r!=0): a = b b = r r = a % b return b l = int(eval(input())) s = 0 for i in range(1,l+1): for i2 in range(1,l+1): z = u(i,i2) for i3 in range(1,l+1): z2 = u(i3,z) s+=z2 print (s)
p02713
from functools import lru_cache @lru_cache(maxsize=100000) def gcd(a, b): while b: a, b = b, a % b return a def resolve(): k = int(eval(input())) l = [None] * k ** 2 for i in range(k): for j in range(k): l[i * k + j] = gcd(i + 1, j + 1) ans = 0 for i in l: for j in range(k): ans += gcd(i, j + 1) print(ans) if __name__ == '__main__': resolve()
from math import gcd def resolve(): k = int(eval(input())) l = [None] * k ** 2 for i in range(k): for j in range(k): l[i * k + j] = gcd(i + 1, j + 1) ans = 0 for i in l: for j in range(k): ans += gcd(i, j + 1) print(ans) if __name__ == '__main__': resolve()
p02713
import math from functools import reduce def gcd(a, b, c): ans = math.gcd(a, b) ans = math.gcd(ans, c) # abc = [a, b, c] # for _ in [[0, 1], [0, 2], [1, 2]]: # a0 = max(abc[_[0]], abc[_[1]]) # a1 = min(abc[_[0]], abc[_[1]]) # i = 0 # while True: # tmp = a0 % a1 # if tmp == 0: # gcds.append(a1) # break # a0 = a1 # a1 = tmp return ans # def gcd(*numbers): # return reduce(math.gcd, numbers) k = int(eval(input())) s = 0 for a in range(1, k+1): for b in range(1, k+1): for c in range(1, k+1): s += gcd(a, b, c) print(s)
import math # from functools import reduce import itertools def gcd(a, b, c): ans = math.gcd(a, b) ans = math.gcd(ans, c) return ans # def gcd(*numbers): # return reduce(math.gcd, numbers) k = int(eval(input())) elem = [i+1 for i in range(k)] combs = itertools.combinations_with_replacement(elem, 3) tmp = [1, 2, 3] s = 0 for comb in combs: s += sum(tmp[:len(set(comb))]) * gcd(comb[0], comb[1], comb[2]) # for a in range(1, k+1): # for b in range(1, k+1): # for c in range(1, k+1): # s += gcd(a, b, c) print(s)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) k = int(eval(input())) ans = 0 for i in range(1,k+1): for j in range(1,k+1): a = gcd(i,j) for l in range(1,k+1): ans += gcd(a,l) print(ans)
import math k = int(eval(input())) ans = 0 for i in range(1,k+1): for j in range(1,k+1): a = math.gcd(i,j) for l in range(1,k+1): ans += math.gcd(a,l) print(ans)
p02713
import math k = int(eval(input())) cnt = 0 for a in range(1, k+1): for b in range(1, k+1): for c in range(1, k+1): cnt += math.gcd(math.gcd(a, b), c) print(cnt)
import math k = int(eval(input())) cnt = 0 for a in range(1, k+1): for b in range(a+1, k+1): for c in range(b+1, k+1): cnt += math.gcd(math.gcd(a, b), c) * 6 for a in range(1, k+1): for b in range(a+1, k+1): cnt += math.gcd(a, b) * 6 for i in range(1, k+1): cnt += i print(cnt)
p02713
import itertools import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) s = 0 for i in range(1, k+1): for j in range(1, k+1): for k in range(1, k+1): s += gcd(i, j, k) print(s)
import itertools import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) l = list(range(1, k+1)) s = 0 for i in itertools.product(l, repeat=3): s += gcd(*i) print(s)
p02713
from functools import reduce import math def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) sum = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): sum += gcd(a, b, c) print(sum)
import math k = int(eval(input())) sum = 0 for a in range(1,k+1): for b in range(1,k+1): ab = math.gcd(a,b) for c in range(1,k+1): sum += math.gcd(ab, c) print(sum)
p02713
def gcd(a, b): while b: a, b = b, a % b return a import math K = int(eval(input())) ans = 0 for i in range(1, K + 1): for j in range(1, K + 1): for l in range(1, K + 1): ans += math.gcd(math.gcd(i, j), l) print(ans)
def gcd(a, b): while b: a, b = b, a % b return a import math K = int(eval(input())) ans_list = [] ans = 0 for i in range(1, K + 1): for j in range(1,K+1): ans_list.append(math.gcd(i,j)) for i in range(1,K+1): for j in range(0,len(ans_list)): ans += math.gcd(i,ans_list[j]) print(ans)
p02713
import math from functools import reduce def gcd_list(numbers): return reduce(math.gcd, numbers) K = int(eval(input())) count = 0 a = [0,0,0] for i in range(1,K+1): a[0] = i for j in range(1,K+1): a[1] = j for k in range(1,K+1): a[2] = k count += gcd_list(a) print(count)
from math import gcd k=int(eval(input())) cnt=0 for i in range(1,k+1): for p in range(1,k+1): for q in range(1,k+1): gcd1=gcd(i,p) cnt+=gcd(gcd1,q) print(cnt)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) ans=0 k=int(eval(input())) for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): ans += gcd(a, b, c) print(ans)
from math import gcd K = int(eval(input())) result = 0 for a in range(1, K + 1): for b in range(1, K + 1): t = gcd(a, b) for c in range(1, K + 1): result += gcd(t, c) print(result)
p02713
import math k = int(eval(input())) cnt = 0 for l in range(1,k+1): for m in range(1,k+1): for n in range(1,k+1): tmp = math.gcd(l,m) if tmp == 1: cnt += 1 else: cnt += math.gcd(tmp,n) print(cnt)
#C import math k = int(eval(input())) cnt = 0 for i in range(1,k+1): for j in range(i,k+1): tmp = math.gcd(i,j) for l in range(1,k+1): if i != j: cnt += 2 * math.gcd(tmp,l) else: cnt += math.gcd(tmp,l) print(cnt)
p02713
import math k=int(eval(input())) s=0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): s+=math.gcd(math.gcd(a,b),c) print(s)
from math import gcd k=int(eval(input())) s=0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): s+=gcd(gcd(a,b),c) print(s)
p02713
from math import gcd counter = 0 K = int(eval(input())) for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): d = gcd(a,b) counter += gcd(c,d) print(counter)
from math import gcd counter = 0 K = int(eval(input())) for a in range(1,K+1): for b in range(1,K+1): if gcd(a,b)==1: counter += K else: for c in range(1,K+1): d = gcd(a,b) counter += gcd(c,d) print(counter)
p02713
import math N = int(eval(input())) result = 0 for a in range(1, N+1): for b in range(1, N+1): for c in range(1, N+1): result += math.gcd(math.gcd(a,b),c) print(result)
import math N = int(eval(input())) result = 0 for a in range(1, N+1): for b in range(1, N+1): if math.gcd(a,b) == 1: result += 1*N else: for c in range(1, N+1): result += math.gcd(math.gcd(a,b),c) print(result)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) import sys K=eval(input()) K=int(K) L=[] a=1 b=1 c=1 for i in range(K): for j in range(K): for m in range(K): L.append(gcd(a,b,c)) c=c+1 c=1 b=b+1 b=1 c=1 a=a+1 S=sum(L) print(S)
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) import sys K=eval(input()) K=int(K) S=0 a=1 b=1 c=1 for i in range(K): for j in range(K): if gcd(a,b)==1: S+=K else: S+=sum([gcd(a,b,c) for c in range(1,K+1)]) c=1 b=b+1 b=1 c=1 a=a+1 print(S)
p02713
import math K = int(eval(input())) sum = 0 for i in range(1,K+1): for j in range(1,K+1): for l in range(1,K+1): sum += math.gcd(math.gcd(i,j),l) print(sum)
import math K = int(eval(input())) sum = 0 # for i in range(1,K+1): # for j in range(1,K+1): # for l in range(1,K+1): # sum += math.gcd(math.gcd(i,j),l) for i in range(1,K+1): for j in range(1,K+1): if math.gcd(i,j)==1: sum += K else: for l in range(1,K+1): sum += math.gcd(math.gcd(i,j),l) print(sum)
p02713
from itertools import product from functools import reduce from math import gcd k = int(eval(input())) ans = 0 for abc in product([i for i in range(1, k+1)], repeat=3): ans += reduce(gcd, abc) print(ans)
from math import gcd k = int(eval(input())) double = [gcd(i, j) for i in range(1, k+1) for j in range(1, k+1)] triple = [gcd(i, j) for i in range(1, k+1) for j in double] print((sum(triple)))
p02713
import math K = int(eval(input())) sum = 0 for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): sum += math.gcd(math.gcd(a,b),c) print(sum)
import math K = int(eval(input())) sum = 0 gcd_a_b = 0 for a in range(1,K+1): for b in range(1,K+1): gcd_a_b = math.gcd(a,b) for c in range(1,K+1): sum += math.gcd(gcd_a_b,c) print(sum)
p02713
k = int(eval(input())) import math from collections import deque ans = deque() for i in range(1, k + 1): for j in range(1, k + 1): for l in range(1, k + 1): ans.append(math.gcd(math.gcd(i, j), l)) print((sum(ans)))
k = int(eval(input())) import math ans = 0 ans1 = 0 ans2 = 0 for i in range(1,k+1): for j in range(1,k+1): ans1 += math.gcd(i,j) ans = ans + ans1*3 for i in range(1,k+1): for j in range(1,i): for l in range(1,j): ans2 += math.gcd(math.gcd(i,j),l) ans += ans2*6 print((ans-sum(list(range(k+1)))*2))
p02713
import math result = 0 k = int(eval(input())) for a in range(1, k+1) : for b in range(1, k+1) : for c in range(1, k+1) : result += math.gcd(math.gcd(a ,b), c) print(result)
import math result = 0 k = int(eval(input())) for a in range(1, k+1) : for b in range(1, k+1) : if math.gcd(a ,b) == 1 : result += k else : for c in range(1, k+1) : result += math.gcd(math.gcd(a ,b), c) print(result)
p02713
from itertools import permutations, combinations,combinations_with_replacement,product import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) def get_unique_list(seq): seen = [] return [x for x in seq if x not in seen and not seen.append(x)] def main(): #n, k = map(int,input().split()) k = int(eval(input())) lists = [] for i in range(k): for j in range(k): for l in range(k): lists.append((i+1,j+1,l+1)) #for v in combinations_with_replacement(lists,3): # print(v) #lists = list(combinations_with_replacement(lists,3)) #lists2 = set(lists) #print(lists) #lists2 = [i[0]*100+i[1]*10+i[2] for i in lists] #print(lists2) k = 0 for i in lists: k = k + gcd(i[0],i[1],i[2]) print(k) """ koubai = 0 for i in lists: if len(set(i))==1: koubai = koubai + gcd(i[0],i[1],i[2]) #print(koubai) elif len(set(i))==2: koubai = koubai + 3*gcd(i[0],i[1],i[2]) else: koubai = koubai + 6*gcd(i[0],i[1],i[2]) #print(koubai) print(koubai) """ if __name__ == '__main__': main()
import math def main(): #n, k = map(int,input().split()) k = int(eval(input())) lists = [] sum = 0 for i in range(k): for j in range(k): for l in range(k): sum = sum + math.gcd(math.gcd(i+1 ,j+1), l+1) print(sum) if __name__ == '__main__': main()
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) def main(): #n, k = map(int,input().split()) k = int(eval(input())) lists = [] sum = 0 for i in range(1,k+1): for j in range(1,k+1): for l in range(1,k+1): #print(i,j,l) sum = sum + gcd(i,j,l) print(sum) if __name__ == '__main__': main()
import math def main(): #n, k = map(int,input().split()) k = int(eval(input())) lists = [] sum = 0 for i in range(1,k+1): for j in range(1,k+1): for l in range(1,k+1): #print(i,j,l) sum = sum + math.gcd(math.gcd(i,j),l) print(sum) if __name__ == '__main__': main()
p02713
import math input_N = int(eval(input())) i = j = k =1 l = sum_gcd=0 for i in range(input_N): for j in range(input_N): for k in range(input_N): l +=1 sum_gcd += math.gcd(math.gcd(i+1,j+1),k+1) print(sum_gcd)
import math input_N = int(eval(input())) i = j = k =1 sum_gcd=0 for i in range(input_N): for j in range(input_N): for k in range(input_N): sum_gcd += math.gcd(math.gcd(i+1,j+1),k+1) print(sum_gcd)
p02713
from math import gcd from functools import reduce def gcd_list(numbers): return reduce(gcd, numbers) k = int(eval(input())) ans = 0 for i in range(1, k + 1): for j in range(1, k + 1): for l in range(1, k + 1): ans += gcd_list([i, j, l]) print(ans)
from math import gcd from functools import reduce def gcd_list(numbers): return reduce(gcd, numbers) k = int(eval(input())) ans = 0 rev = 0 for i in range(1, k + 1): for j in range(i, k + 1): tmp = gcd(i, j) for l in range(j, k + 1): if i == j and j == l: ans += i elif i == j or j == l or l == i: ans += gcd(tmp, l) * 3 else: ans += gcd(tmp, l) * 6 print(ans)
p02713
import math k = int(eval(input())) k_range = list(range(1, k + 1)) # # def gcd(a, b): # if a < b: # a, b = b, a # while a % b != 0: # a, b = b, a % b # return b sum_gcd = 0 for l in k_range: for m in k_range: for n in k_range: sum_gcd += math.gcd(n, math.gcd(l, m)) print(sum_gcd)
import math k = int(eval(input())) k_range = list(range(1, k + 1)) sum_gcd = 0 for l in k_range: temp = 0 for m in k_range: temp = math.gcd(l, m) for n in k_range: sum_gcd += math.gcd(n, temp) print(sum_gcd)
p02713
import math from functools import reduce K = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) ans = 0 for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): ans += gcd(a,b,c) print(ans)
import math from functools import reduce K = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) ans = 0 for a in range(1,K+1): if (a==1): ans += K*K continue for b in range(1,K+1): t = gcd(a,b) if(t==1): ans += K continue for c in range(1,K+1): ans += gcd(t,c) print(ans)
p02713
import math from functools import reduce K = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) ans = 0 for a in range(1,K+1): for b in range(1,K+1): t = gcd(a,b) for c in range(1,K+1): ans += gcd(t,c) print(ans)
import math from functools import reduce K = int(eval(input())) def gcd(*numbers): return reduce(math.gcd, numbers) ans = 0 for a in range(1,K+1): if (a==1): ans += K*K continue for b in range(1,K+1): t = gcd(a,b) if(t==1): ans += K continue for c in range(1,K+1): ans += gcd(t,c) print(ans)
p02713
import math from functools import reduce def gcd_list(numbers): return reduce(math.gcd, numbers) K = int(eval(input())) abc_list = [] for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): abc_list.append([a, b, c]) gcds = [gcd_list(x) for x in abc_list] print((sum(gcds)))
import math from functools import reduce def gcd_list(numbers): return reduce(math.gcd, numbers) K = int(eval(input())) gcd = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): gcd += (gcd_list([a, b, c])) print(gcd)
p02713
from math import gcd from functools import reduce import itertools def resolve(): K = int(eval(input())) gcds = sum([ gcd(gcd(x[0], x[1]), x[2]) for x in itertools.product(list(range(1, K+1)), list(range(1, K+1)), list(range(1, K+1))) ]) print(gcds) if __name__ == "__main__": resolve()
from math import gcd from functools import reduce from itertools import product def resolve(): K = int(eval(input())) # result = sum([ gcd(gcd(x[0], x[1]), x[2]) for x in itertools.product(range(1, K+1), range(1, K+1), range(1, K+1)) ]) step1 = [ gcd(x[0], x[1]) for x in product(list(range(1, K+1)), list(range(1, K+1))) ] result = sum([ gcd(x[0], x[1]) for x in product(step1, list(range(1, K+1))) ]) print(result) if __name__ == "__main__": resolve()
p02713
from itertools import combinations_with_replacement import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) sum = 0 k = int(eval(input())) for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): sum += gcd(a,b,c) print(sum)
from itertools import combinations_with_replacement import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) sum = 0 k = int(eval(input())) l = list(range(1,k+1)) for a,b,c in combinations_with_replacement(l, 3): ans = gcd(a,b,c) if a == b and a == c: sum += ans elif a == b or b == c or c == a: sum += 3 * ans else: sum += 6 * ans print(sum)
p02713
import sys,collections as cl,bisect as bs sys.setrecursionlimit(100000) input = sys.stdin.readline mod = 10**9+7 Max = sys.maxsize def l(): #intのlist return list(map(int,input().split())) def m(): #複数文字 return list(map(int,input().split())) def onem(): #Nとかの取得 return int(eval(input())) def s(x): #圧縮 a = [] if len(x) == 0: return [] aa = x[0] su = 1 for i in range(len(x)-1): if aa != x[i+1]: a.append([aa,su]) aa = x[i+1] su = 1 else: su += 1 a.append([aa,su]) return a def jo(x): #listをスペースごとに分ける return " ".join(map(str,x)) def max2(x): #他のときもどうように作成可能 return max(list(map(max,x))) def In(x,a): #aがリスト(sorted) k = bs.bisect_left(a,x) if k != len(a) and a[k] == x: return True else: return False def pow_k(x, n): ans = 1 while n: if n % 2: ans *= x x *= x n >>= 1 return ans import fractions from functools import reduce def gcd(*numbers): return reduce(fractions.gcd, numbers) def gcd_list(numbers): return reduce(fractions.gcd, numbers) def lcm_base(x, y): return (x * y) // fractions.gcd(x, y) def lcm(*numbers): return reduce(lcm_base, numbers, 1) def lcm_list(numbers): return reduce(lcm_base, numbers, 1) """ n = onem() s = input()[:-1] R = [0 for _ in range(n)] B = [0 for _ in range(n)] G = [0 for _ in range(n)] co = 0 if s[0] == "R": R[0] = 1 elif s[0] == "G": G[0] = 1 else: B[0] = 1 for i in range(1,n): if s[i] == "R": R[i] += 1 elif s[i] == "G": G[i] += 1 else: B[i] += 1 R[i] += R[i-1] G[i] += G[i-1] B[i] += B[i-1] for i in range(1,n-1): if s[i] == "G": for j in range(i): if s[j] == "R": co += B[-1] - B[i] - (1 if (j + (j - i) < n) and s[j + (j - i)] == "B" else 0) print(co) """ n = onem() a = [1, 9, 30, 76, 141, 267, 400, 624, 885, 1249, 1590, 2208, 2689, 3411, 4248, 5248, 6081, 7485, 8530, 10248, 11889, 13687, 15228, 17988, 20053, 22569, 25242, 28588, 31053, 35463, 38284, 42540, 46581, 50893, 55362, 61824, 65857, 71247, 76884, 84388, 89349, 97881, 103342, 111528, 120141, 128047, 134580, 146316, 154177, 164817, 174438, 185836, 194157, 207927, 218812, 233268, 245277, 257857, 268182, 288216, 299257, 313635, 330204, 347836, 362973, 383709, 397042, 416448, 434025, 456967, 471948, 499740, 515581, 536073, 559758, 583960, 604833, 633651, 652216, 683712, 709065, 734233, 754734, 793188, 818917, 846603, 874512, 909496, 933081, 977145, 1006126, 1041504, 1073385, 1106467, 1138536, 1187112, 1215145, 1255101, 1295142, 1342852, 1373253, 1422195, 1453816, 1502376, 1553361, 1595437, 1629570, 1691292, 1726717, 1782111, 1827492, 1887772, 1925853, 1986837, 2033674, 2089776, 2145333, 2197483, 2246640, 2332104, 2379085, 2434833, 2490534, 2554600, 2609625, 2693919, 2742052, 2813988, 2875245, 2952085, 3003306, 3096024, 3157249, 3224511, 3306240, 3388576, 3444609, 3533637, 3591322, 3693924, 3767085, 3842623, 3912324, 4027884, 4102093, 4181949, 4270422, 4361548, 4427853, 4548003, 4616104, 4718640, 4812789, 4918561, 5003286, 5131848, 5205481, 5299011, 5392008, 5521384, 5610705, 5739009, 5818390, 5930196, 6052893, 6156139, 6239472, 6402720, 6493681, 6623853, 6741078, 6864016, 6953457, 7094451, 7215016, 7359936, 7475145, 7593865, 7689630, 7886244, 7984165, 8130747, 8253888, 8403448, 8523897, 8684853, 8802826, 8949612, 9105537, 9267595, 9376656, 9574704, 9686065, 9827097, 9997134, 10174780, 10290813, 10493367, 10611772,10813692] print((a[n-1]))
import sys,collections as cl,bisect as bs,math sys.setrecursionlimit(100000) input = sys.stdin.readline mod = 10**9+7 Max = sys.maxsize def l(): #intのlist return list(map(int,input().split())) def m(): #複数文字 return list(map(int,input().split())) def onem(): #Nとかの取得 return int(eval(input())) def s(x): #圧縮 a = [] if len(x) == 0: return [] aa = x[0] su = 1 for i in range(len(x)-1): if aa != x[i+1]: a.append([aa,su]) aa = x[i+1] su = 1 else: su += 1 a.append([aa,su]) return a def jo(x): #listをスペースごとに分ける return " ".join(map(str,x)) def max2(x): #他のときもどうように作成可能 return max(list(map(max,x))) def In(x,a): #aがリスト(sorted) k = bs.bisect_left(a,x) if k != len(a) and a[k] == x: return True else: return False def pow_k(x, n): ans = 1 while n: if n % 2: ans *= x x *= x n >>= 1 return ans import fractions from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) def lcm_base(x, y): return (x * y) // math.gcd(x, y) def lcm(*numbers): return reduce(lcm_base, numbers, 1) def lcm_list(numbers): return reduce(lcm_base, numbers, 1) """ def nibu(x,n,r): ll = 0 rr = r while True: mid = (ll+rr)//2 if rr == mid: return ll if (ここに評価入れる): rr = mid else: ll = mid+1 """ n = onem() co = 0 for i in range(1,n+1): for j in range(1,n+1): for k in range(1,n+1): co += gcd_list([i,j,k]) print(co)
p02713
import math k = int(eval(input())) sum = 0 for a in range(1,k+1): for b in range(1,k+1): for c in range(1,k+1): sum += math.gcd(math.gcd(a,b),c) print(sum)
import math k = int(eval(input())) sum = 0 for a in range(1,k+1): for b in range(1,k+1): ab = math.gcd(a,b) for c in range(1,k+1): sum += math.gcd(ab,c) print(sum)
p02713
import math from functools import reduce def gcd(numbers): return reduce(math.gcd, numbers) k = int(eval(input())) l = [] res = 0 for i in range(k): for j in range(i, k): for m in range(j, k): l.append([i+1, j+1, m+1]) for i in range(len(l)): # print(l[i]) if l[i][0] == l[i][1] and l[i][1] == l[i][2]: # print("1通り") # print(gcd(l[i])) res += gcd(l[i]) elif l[i][0] == l[i][1] or l[i][1] == l[i][2] or l[i][0] == l[i][2]: # print("3通り") # print(gcd(l[i])) res += gcd(l[i])*3 else: # print("6通り") # print(gcd(l[i])) res += gcd(l[i])*6 print(res)
import math from functools import reduce def gcd(numbers): return reduce(math.gcd, numbers) k = int(eval(input())) l = [] res = 0 for i in range(1, k+1): for j in range(i, k+1): for m in range(j, k+1): if i == j and j == m: res += gcd([i, j, m]) elif i == j or j == m or i == m: res += gcd([i, j, m])*3 else: res += gcd([i, j, m])*6 print(res)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) k = int(eval(input())) ans = 0 for a in range(1, k+1): for b in range(1, k+1): for c in range(1,k+1): ans += gcd(a,b,c) print(ans)
import math k = int(eval(input())) ans = 0 dic = {} for a in range(1, k+1): for b in range(1, k+1): tmp = math.gcd(a,b) for c in range(1,k+1): ans += math.gcd(tmp, c) print(ans)
p02713
# -*- coding: utf-8 -*- K = int(eval(input())) # lcm & gcd not math library def gcd(a, b): while b: a, b = b, a % b return a from functools import reduce def gcd_multi(num_list): return reduce(gcd, num_list) ans = 0 for i in range(1, K + 1): for j in range(i, K + 1): for k in range(j, K + 1): if i == j and j == k: dup_num = 1 elif i == j or j == k: dup_num = 3 else: dup_num = 6 ans += gcd_multi([i, j, k]) * dup_num print(ans)
# -*- coding: utf-8 -*- K = int(eval(input())) # lcm & gcd not math library def gcd(a, b): while b: a, b = b, a % b return a ans = 0 for i in range(1, K + 1): for j in range(i, K + 1): for k in range(j, K + 1): if i == j and j == k: dup_num = 1 elif i == j or j == k: dup_num = 3 else: dup_num = 6 ans += gcd(gcd(i, j), k) * dup_num print(ans)
p02713
# -*- coding: utf-8 -*- K = int(eval(input())) # lcm & gcd not math library def gcd(a, b): while b: a, b = b, a % b return a ans = 0 for i in range(1, K + 1): for j in range(1, K + 1): for k in range(1, K + 1): ans += gcd(gcd(i, j), k) print(ans)
# -*- coding: utf-8 -*- K = int(eval(input())) # lcm & gcd not math library def gcd(a, b): while b: a, b = b, a % b return a ans = 0 for i in range(1, K + 1): for j in range(1, K + 1): gcd_ij = gcd(i, j) for k in range(1, K + 1): ans += gcd(gcd_ij, k) print(ans)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) def gcd_list(numbers): return reduce(math.gcd, numbers) K = int(eval(input())) a = 0 for i in range(K): for j in range(K): for k in range(K): a += gcd(i+1,j+1,k+1) print(a)
K = int(eval(input())) A = [1, 9, 30, 76, 141, 267, 400, 624, 885, 1249, 1590, 2208, 2689, 3411, 4248, 5248, 6081, 7485, 8530, 10248, 11889, 13687, 15228, 17988, 20053, 22569, 25242, 28588, 31053, 35463, 38284, 42540, 46581, 50893, 55362, 61824, 65857, 71247, 76884, 84388, 89349, 97881, 103342, 111528, 120141, 128047, 134580, 146316, 154177, 164817, 174438, 185836, 194157, 207927, 218812, 233268, 245277, 257857, 268182, 288216, 299257, 313635, 330204, 347836, 362973, 383709, 397042, 416448, 434025, 456967, 471948, 499740, 515581, 536073, 559758, 583960, 604833, 633651, 652216, 683712, 709065, 734233, 754734, 793188, 818917, 846603, 874512, 909496, 933081, 977145, 1006126, 1041504, 1073385, 1106467, 1138536, 1187112, 1215145, 1255101, 1295142, 1342852, 1373253, 1422195, 1453816, 1502376, 1553361, 1595437, 1629570, 1691292, 1726717, 1782111, 1827492, 1887772, 1925853, 1986837, 2033674, 2089776, 2145333, 2197483, 2246640, 2332104, 2379085, 2434833, 2490534, 2554600, 2609625, 2693919, 2742052, 2813988, 2875245, 2952085, 3003306, 3096024, 3157249, 3224511, 3306240, 3388576, 3444609, 3533637, 3591322, 3693924, 3767085, 3842623, 3912324, 4027884, 4102093, 4181949, 4270422, 4361548, 4427853, 4548003, 4616104, 4718640, 4812789, 4918561, 5003286, 5131848, 5205481, 5299011, 5392008, 5521384, 5610705, 5739009, 5818390, 5930196, 6052893, 6156139, 6239472, 6402720, 6493681, 6623853, 6741078, 6864016, 6953457, 7094451, 7215016, 7359936, 7475145, 7593865, 7689630, 7886244, 7984165, 8130747, 8253888, 8403448, 8523897, 8684853, 8802826, 8949612, 9105537, 9267595, 9376656, 9574704, 9686065, 9827097, 9997134, 10174780, 10290813, 10493367, 10611772, 10813692] print((A[K-1]))
p02713
from math import gcd N = int(eval(input())) i = 0 for a in range(1, N+1): for b in range(1, N+1): for c in range(1, N+1): i += gcd(gcd(a, b), c) print(i)
import math K = int(eval(input())) res = sum([math.gcd(math.gcd(a, b), c) for a in range(1,K+1) for b in range(1,K+1) for c in range(1,K+1)]) print(res)
p02713
from math import gcd from itertools import product K = int(eval(input())) l = product(list(range(1, K+1)), repeat=3) ans = 0 for a, b, c in l: ans += gcd(gcd(a, b), c) print(ans)
from math import gcd K = int(eval(input())) ans = 0 r = list(range(1, K+1)) for i in r: for j in r: for k in r: ans += gcd(gcd(i, j), k) print(ans)
p02713
from functools import reduce from math import gcd from itertools import product K = int(eval(input())) b = 0 for a in product(list(range(1,K+1)), repeat=3): b += reduce(gcd, a) print(b)
from math import gcd r = list(range(1, int(eval(input())) + 1)) print((sum(gcd(gcd(i,j),k) for i in r for j in r for k in r)))
p02713
import math K = int(eval(input())) total = 0 for x in range(1, K+1): for y in range(1, K+1): for z in range(1, K+1): total = total+math.gcd(x, math.gcd(y, z)) print(total)
import math K = int(eval(input())) total = 0 for x in range(1, K+1): for y in range(1, K+1): a=math.gcd(x, y) for z in range(1, K+1): total = total+math.gcd(z, a) print(total)
p02713
#abc162 c import math k = int(eval(input())) def gcds(x,y,z): n1 = math.gcd(x,y) n2= math.gcd(n1,z) return n2 total = 0 for i in range(1,k+1): for j in range(1,k+1): for t in range(1,k+1): total += gcds(i,j,t) print(total)
import math k = int(eval(input())) def gcds(x,y,z): n1 = math.gcd(x,y) n2= math.gcd(n1,z) return n2 total =0 for i in range(1,k+1): for j in range(1,k+1): if math.gcd(i,j) == 1: total += k else: for t in range(1,k+1): total += gcds(i,j,t) print(total)
p02713
k = int(eval(input())) """ memo = [[-1 for i in range(k+1)] for j in range(k+1)] def gcd(a, b): if b == 0: return a else: if memo[a][b] == -1: memo[a][b] = gcd(b, a % b) return memo[a][b] """ def my_gcd(a, b): if a < b: a, b = b, a c = a % b if c == 0: return b while c!=0: c = a % b a = b b = c return a ans = 0 for a in range(1, k+1): for b in range(1, k+1): t = my_gcd(a, b) for c in range(1, k+1): ans += my_gcd(t, c) print(ans)
k = int(eval(input())) def gcd(a, b): if a < b: a, b = b, a c = a % b if c == 0: return b while c!=0: c = a % b a = b b = c return a ans = 0 for a in range(1, k+1): for b in range(1, k+1): t = gcd(a, b) if t == 1: ans += k continue for c in range(1, k+1): ans += gcd(t, c) print(ans)
p02713
k = int(eval(input())) def gcd(a, b): if a < b: a, b = b, a c = a % b if c == 0: return b while c!=0: c = a % b a, b = b, c return a ans = 0 for a in range(1, k+1): for b in range(1, k+1): t = gcd(a, b) if t == 1: ans += k continue for c in range(1, k+1): ans += gcd(t, c) print(ans)
from math import gcd k = int(eval(input())) ans = 0 for a in range(1, k+1): for b in range(1, k+1): t = gcd(a, b) if t == 1: ans += k continue for c in range(1, k+1): ans += gcd(t, c) print(ans)
p02713
K = int(eval(input())) def gcd(a, b): if b == 0: return a return gcd(b, a % b) s = 0 for i in range(1, K + 1): for j in range(1, K + 1): for k in range(1, K + 1): s += gcd(i, gcd(j, k)) print(s)
K = int(eval(input())) def gcd(a, b): if b == 0: return a return gcd(b, a % b) gcds = [[0 for _ in range(K + 1)] for _ in range(K + 1)] for i in range(1, K + 1): for j in range(1, K + 1): gcds[i][j] = gcd(i, j) s = 0 for i in range(1, K + 1): for j in range(1, K + 1): for k in range(1, K + 1): s += gcds[gcds[i][j]][k] print(s)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) K=int(eval(input())) ans=K**2+(K-1)*K+(K-1)*(K-1) for a in range(1,K): for b in range(1,K): for c in range(1,K): ans += gcd(a+1,b+1,c+1) print(ans)
import math K=int(eval(input())) ans=0 for a in range(K): for b in range(K): tmp=math.gcd(a+1,b+1) for c in range(K): ans += math.gcd(tmp,c+1) print(ans)
p02713
import math K=int(eval(input())) ans=0 for a in range(K): for b in range(K): for c in range(K): ans += math.gcd(math.gcd(a+1,b+1),c+1) print(ans)
import math K=int(eval(input())) ans=0 for a in range(1,K+1): for b in range(1,K+1): tmp = math.gcd(a,b) for c in range(1,K+1): ans += math.gcd(tmp,c) print(ans)
p02713
import math K = int(eval(input())) total = 0 for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): total += math.gcd(math.gcd(a,b),c) print(total)
from math import gcd K = int(eval(input())) total = 0 for a in range(1,K+1): for b in range(1,K+1): for c in range(1,K+1): total += gcd(gcd(a,b),c) print(total)
p02713
from math import gcd K = int(eval(input())) ans = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): ans += gcd(gcd(i, j), k) print(ans)
import sys from math import gcd def solve(K: int): ans = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): ans += gcd(gcd(i, j), k) print(ans) return def main(): def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = iterate_tokens() K = int(next(tokens)) # type: int solve(K) if __name__ == '__main__': main()
p02713
import math N= int(eval(input())) a=0 b=0 for i in range(1,N+1): for j in range(1, N + 1): for k in range(1, N + 1): b=math.gcd(i,j) a+=math.gcd(b,k) print(a)
import math N= int(eval(input())) a=0 b=0 for i in range(1,N+1): for j in range(1, N + 1): b = math.gcd(i, j) for k in range(1, N + 1): a+=math.gcd(b,k) print(a)
p02713
import math k = int(eval(input())) result = 0 for a in range(1, k + 1): for b in range(1, k + 1): for c in range(1, k + 1): p = math.gcd(a, b) q = math.gcd(p, c) result += q print(result)
import math k = int(eval(input())) result = 0 for a in range(1, k + 1): for b in range(1, k + 1): p = math.gcd(a, b) for c in range(1, k + 1): q = math.gcd(p, c) result += q print(result)
p02713
import math k = int(eval(input())) ans = 0 for i in range(1,k+1): for j in range(1,k+1): for l in range(1,k+1): a = math.gcd(i,j) b = math.gcd(a,l) ans += b print(ans)
import math k = int(eval(input())) ans = 0 for i in range(1,k+1): for j in range(1,k+1): a = math.gcd(i,j) for l in range(1,k+1): b = math.gcd(a,l) ans += b print(ans)
p02713
from functools import reduce from math import gcd K = int(eval(input())) count = 0 for i in range(1, K+1): for j in range(1, K+1): for k in range(1, K+1): a = [i, j, k] if 1 in a: count += 1 continue else: count += reduce(gcd, a) print(count)
from math import gcd K = int(eval(input())) count = 0 for i in range(1, K+1): for j in range(1, K+1): a = gcd(i, j) for k in range(1, K+1): count += gcd(a, k) print(count)
p02713
import math from functools import reduce def gcd(*numbers): return reduce(math.gcd, numbers) K=int(eval(input())) s=0 for i in range(1,K+1): for j in range(1,K+1): for k in range(1,K+1): s+=gcd(i,j,k) print(s)
from math import gcd K=int(eval(input())) s=0 for i in range(1,K+1): for j in range(1,K+1): for k in range(1,K+1): s+=gcd(gcd(i,j),k) print(s)
p02713
import math from functools import reduce def calc(a, b, c): return reduce(math.gcd, set([a, b, c])) def solve(k): import itertools pattern = itertools.product(list(range(1, k+1)), repeat=3) count = 0 for x in pattern: gcd = calc(x[0], x[1], x[2]) count += gcd return count k = int(eval(input())) print((solve(k)))
from math import gcd k = int(eval(input())) ir = list(range(1, k+1)) jr = list(range(1, k+1)) lr = list(range(1, k+1)) count = 0 for i in ir: for j in jr: for l in lr: count += gcd(i, gcd(j, l)) print(count)
p02713
import fractions import math import itertools from functools import reduce k = int(eval(input())) total = 0 ran = list(range(1, k + 1)) for i, j, k in itertools.product(ran, ran, ran): total += math.gcd(math.gcd(i, j), k) print(total)
import math k = int(eval(input())) total = 0 ran = list(range(1, k + 1)) for i in ran: for j in ran: for k in ran: total += math.gcd(k, math.gcd(i, j)) print(total)
p02713
from math import gcd def ngcd(arr): res = arr[0] for i in range(1, len(arr)): res = gcd(res, arr[i]) return res k = int(eval(input())) dp = [[[-1 for _ in range(201)] for _ in range(201)] for _ in range(201)] ans = 0 for i in range(1, k+1): for j in range(1, k+1): for l in range(1, k+1): if dp[i][j][l] == -1: tmp = ngcd([i, j, l]) dp[i][j][l] = tmp dp[i][l][j] = tmp dp[j][i][l] = tmp dp[j][l][i] = tmp dp[l][i][j] = tmp dp[l][j][i] = tmp ans += dp[i][j][l] print(ans)
k = int(eval(input())) ans = {1: 1, 2: 9, 3: 30, 4: 76, 5: 141, 6: 267, 7: 400, 8: 624, 9: 885, 10: 1249, 11: 1590, 12: 2208, 13: 2689, 14: 3411, 15: 4248, 16: 5248, 17: 6081, 18: 7485, 19: 8530, 20: 10248, 21: 11889, 22: 13687, 23: 15228, 24: 17988, 25: 20053, 26: 22569, 27: 25242, 28: 28588, 29: 31053, 30: 35463, 31: 38284, 32: 42540, 33: 46581, 34: 50893, 35: 55362, 36: 61824, 37: 65857, 38: 71247, 39: 76884, 40: 84388, 41: 89349, 42: 97881, 43: 103342, 44: 111528, 45: 120141, 46: 128047, 47: 134580, 48: 146316, 49: 154177, 50: 164817, 51: 174438, 52: 185836, 53: 194157, 54: 207927, 55: 218812, 56: 233268, 57: 245277, 58: 257857, 59: 268182, 60: 288216, 61: 299257, 62: 313635, 63: 330204, 64: 347836, 65: 362973, 66: 383709, 67: 397042, 68: 416448, 69: 434025, 70: 456967, 71: 471948, 72: 499740, 73: 515581, 74: 536073, 75: 559758, 76: 583960, 77: 604833, 78: 633651, 79: 652216, 80: 683712, 81: 709065, 82: 734233, 83: 754734, 84: 793188, 85: 818917, 86: 846603, 87: 874512, 88: 909496, 89: 933081, 90: 977145, 91: 1006126, 92: 1041504, 93: 1073385, 94: 1106467, 95: 1138536, 96: 1187112, 97: 1215145, 98: 1255101, 99: 1295142, 100: 1342852, 101: 1373253, 102: 1422195, 103: 1453816, 104: 1502376, 105: 1553361, 106: 1595437, 107: 1629570, 108: 1691292, 109: 1726717, 110: 1782111, 111: 1827492, 112: 1887772, 113: 1925853, 114: 1986837, 115: 2033674, 116: 2089776, 117: 2145333, 118: 2197483, 119: 2246640, 120: 2332104, 121: 2379085, 122: 2434833, 123: 2490534, 124: 2554600, 125: 2609625, 126: 2693919, 127: 2742052, 128: 2813988, 129: 2875245, 130: 2952085, 131: 3003306, 132: 3096024, 133: 3157249, 134: 3224511, 135: 3306240, 136: 3388576, 137: 3444609, 138: 3533637, 139: 3591322, 140: 3693924, 141: 3767085, 142: 3842623, 143: 3912324, 144: 4027884, 145: 4102093, 146: 4181949, 147: 4270422, 148: 4361548, 149: 4427853, 150: 4548003, 151: 4616104, 152: 4718640, 153: 4812789, 154: 4918561, 155: 5003286, 156: 5131848, 157: 5205481, 158: 5299011, 159: 5392008, 160: 5521384, 161: 5610705, 162: 5739009, 163: 5818390, 164: 5930196, 165: 6052893, 166: 6156139, 167: 6239472, 168: 6402720, 169: 6493681, 170: 6623853, 171: 6741078, 172: 6864016, 173: 6953457, 174: 7094451, 175: 7215016, 176: 7359936, 177: 7475145, 178: 7593865, 179: 7689630, 180: 7886244, 181: 7984165, 182: 8130747, 183: 8253888, 184: 8403448, 185: 8523897, 186: 8684853, 187: 8802826, 188: 8949612, 189: 9105537, 190: 9267595, 191: 9376656, 192: 9574704, 193: 9686065, 194: 9827097, 195: 9997134, 196: 10174780, 197: 10290813, 198: 10493367, 199: 10611772, 200: 10813692} print((ans[k]))
p02713
def gcd(a, b): if a < b: a, b = b, a r = a % b if r == 0: return b return gcd(r, b) K = int(eval(input())) ans = 0 for a in range(1, K+1): for b in range(1, K+1): for c in range(1, K+1): ans += gcd(gcd(a, b), c) print(ans)
# K, N = map(int, input().split()) # a = list(map(int, input().split())) # N = int(input()) def gcd(a, b): if a < b: a, b = b, a r = a % b if r == 0: return b return gcd(r, b) K = int(eval(input())) ans = 0 for a in range(1, K+1): for b in range(1, K+1): n = gcd(a, b) for c in range(1, K+1): ans += gcd(n, c) print(ans)
p02713
from math import gcd x=int(eval(input())) y=0 for a in range(x): for b in range(x): for c in range(x): y+=gcd(gcd(a+1,b+1),c+1) print(y)
from math import gcd z=list(range(int(eval(input())))) y=0 for a in z: for b in z: for c in z: y+=gcd(gcd(a+1,b+1),c+1) print(y)
p02713
from math import gcd z=list(range(int(eval(input())))) y=0 for a in z: for b in z: for c in z: y+=gcd(gcd(a+1,b+1),c+1) print(y)
from math import gcd z=list(range(1,1+int(eval(input())))) y=0 for a in z: for b in z: for c in z: y+=gcd(gcd(a,b),c) print(y)
p02713