input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) D1 = T1 * A1 - T1 * B1 D2 = T1 * A1 + T2 * A2 - T1 * B1 - T2 * B2 if D1 * D2 > 0: print((0)) elif D2 == 0: print("infinity") else: c = 1 D1 = abs(D2 - D1) D2 = abs(D2) Dp = D2 while True: Dp += D2 if Dp > D1: break elif Dp == D1: c += 1 break c += 2 print(c)
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) D1 = T1 * A1 - T1 * B1 D2 = T1 * A1 + T2 * A2 - T1 * B1 - T2 * B2 if D1 * D2 > 0: print((0)) elif D2 == 0: print("infinity") else: D1 = abs(D2 - D1) D2 = abs(D2) c = (D1 // D2) * 2 - 1 if D1 % D2 == 0: c -= 1 print(c)
p02846
import sys t1, t2 = list(map(int, input().split())) a1, a2 = list(map(int, input().split())) b1, b2 = list(map(int, input().split())) if t1*a1+t2*a2 == t1*b1+t2*b2: print("infinity") sys.exit() a, b = 0, 0 key = 0 ans = 0 while True: key = ans while True: a_past, b_past = a, b a += a1*t1 b += b1*t1 if a_past == b_past: break if (a_past-b_past)*(a-b) <= 0: ans += 1 break while True: a_past, b_past = a, b a += a2*t2 b += b2*t2 if a_past == b_past: break if (a_past-b_past)*(a-b) <= 0: ans += 1 break if key == ans: break print(ans)
import sys t1, t2 = list(map(int, input().split())) a1, a2 = list(map(int, input().split())) b1, b2 = list(map(int, input().split())) if (a1-b1)*t1+(a2-b2)*t2 == 0: print("infinity") sys.exit() e1 = (a1-b1)*t1 e2 = e1 + (a2-b2)*t2 if e1*e2 > 0: print((0)) sys.exit() e1, e2 = abs(e1), abs(e2) if e1%e2: print((1+2*(e1//e2))) else: print((2*(e1//e2)))
p02846
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) a = A1*T1-B1*T1 b = A2*T2-B2*T2 if a<0: if b<0: print((0)) elif b==0: print((0)) elif b>0: if a<-b: print((0)) elif a==-b: print('infinity') else: d = a+b if a%d==0: n = (-a)//d-1 print((2*n+2)) else: n = (-a)//d print((2*n+1)) elif a==0: if b<0: print((1)) elif b==0: print('infinity') elif b>0: print((1)) elif a>0: if b<0: if a>-b: print((0)) elif a==-b: print('infinity') else: d = -a-b if a%d==0: n = a//d-1 print((2*n+2)) else: n = a//d print((2*n+1)) elif b==0: print((0)) elif b>0: print((0))
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) d1 = (A1-B1)*T1 d2 = (A2-B2)*T2 if d1*d2>0: print((0)) exit() if d1<0: d1 *= -1 d2 *= -1 if d1+d2>0: print((0)) exit() if d1+d2==0: print('infinity') exit() t = -d2-d1 if d1%t==0: print((d1//t*2)) else: print((d1//t*2+1))
p02846
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) C1 = (A1-B1)*T1 C2 = (A2-B2)*T2 if C1+C2==0: print('infinity') elif C1*(C1+C2)>0: print((0)) else: if abs(C1)%abs(C1+C2)==0: print((abs(C1)//abs(C1+C2)*2)) else: print((abs(C1)//abs(C1+C2)*2+1))
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) C1 = A1 - B1 C2 = A2 - B2 if C1 * C2 >= 0: print((0)) else: if C1 < 0: C1, C2 = -C1, -C2 P = T1 * C1 Q = P + T2 * C2 if Q > 0: print((0)) elif Q == 0: print('infinity') else: hi = 10**18 lo = -1 while hi - lo > 1: mid = (hi + lo) // 2 if Q * mid + P <= 0: hi = mid else: lo = mid if Q * hi + P == 0: print((hi * 2)) else: print((hi * 2 - 1))
p02846
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl sys.setrecursionlimit(2147483647) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) t1,t2 = LI() a1,a2 = LI() b1,b2 = LI() x,y = a1*t1,b1*t1 z,w = a1*t1 + a2*t2, b1*t1 + b2*t2 if (x > y and z > w) or (y > x and w > z): print((0)) quit() if (z == w) : print('infinity') quit() if x < y: x,y = y,x if z < w: z,w = w,z s1 = x - y s2 = z - w p = math.ceil(s1/s2) q = s1 % s2 ans = 2*p - (q != 0) print(ans)
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl sys.setrecursionlimit(2147483647) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) t1, t2 = LI() a1, a2 = LI() b1, b2 = LI() a = a1 * t1 + a2 * t2 b = b1 * t1 + b2 * t2 if a == b: print('infinity') else: if b > a: if a1 * t1 < b1 * t1: print((0)) elif a1 * t1 == b1 * t1: print((1)) elif a1 * t1 > b1 * t1: c = b - a d = a1 * t1 - b1 * t1 e = d % c != 0 print((2 * (d // c) + e)) else: if b1 * t1 < a1 * t1: print((0)) elif b1 * t1 == a1 * t1: print((1)) elif b1 * t1 > a1 * t1: c = a - b d = b1 * t1 - a1 * t1 e = d % c != 0 print((2 * (d // c) + e))
p02846
T1,T2=list(map(int,input().split())) A1,A2=list(map(int,input().split())) B1,B2=list(map(int,input().split())) if B1>A1: A1,A2,B1,B2=B1,B2,A1,A2 if A2>B2: print((0)) exit() if A1*T1+A2*T2==B1*T1+B2*T2: print("infinity") exit() ans=1 a,b=A1*T1+A2*T2,B1*T1+B2*T2 while b-a<=T1*A1-T1*B1: if b-a<T1*A1-T1*B1: ans+=2 else: ans+=1 a+=A1*T1+A2*T2 b+=B1*T1+B2*T2 print(ans)
T1,T2=list(map(int,input().split())) A1,A2=list(map(int,input().split())) B1,B2=list(map(int,input().split())) if B1>A1: A1,A2,B1,B2=B1,B2,A1,A2 if A1*T1+A2*T2>B1*T1+B2*T2: print((0)) exit() if A1*T1+A2*T2==B1*T1+B2*T2: print("infinity") exit() x=(T1*A1-T1*B1)//((B1-A1)*T1+(B2-A2)*T2)+1 ans=2*x-1 if (T1*A1-T1*B1)%((B1-A1)*T1+(B2-A2)*T2)==0: ans-=1 print(ans)
p02846
import sys sys.setrecursionlimit(1000000000) from itertools import count from functools import lru_cache from collections import defaultdict ii = lambda: int(eval(input())) mis = lambda: list(map(int, input().split())) lmis = lambda: list(mis()) INF = float('inf') def meg(f, ok, ng): while abs(ok-ng)>1: mid = (ok+ng)//2 if f(mid): ok=mid else: ng=mid return ok # def main(): T1,T2 = mis() A1,A2 = mis() B1,B2 = mis() d1 = T1*A1 - T1*B1 d2 = T2*A2 - T2*B2 if d1 + d2 == 0: print('infinity') elif d1 < 0 > d2 or d1 > 0 < d2: print((0)) else: ans = -1 pos = 0 if d1 < 0: d1 *= -1 d2 *= -1 while True: pos += d1 if pos == 0: ans += 1 break elif pos < 0: break else: ans += 1 pos += d2 ans += 1 print(ans) main()
import sys sys.setrecursionlimit(1000000000) from itertools import count from functools import lru_cache from collections import defaultdict ii = lambda: int(eval(input())) mis = lambda: list(map(int, input().split())) lmis = lambda: list(mis()) INF = float('inf') def meg(f, ok, ng): while abs(ok-ng)>1: mid = (ok+ng)//2 if f(mid): ok=mid else: ng=mid return ok # def main(): T1,T2 = mis() A1,A2 = mis() B1,B2 = mis() d1 = T1*A1 - T1*B1 d2 = T2*A2 - T2*B2 if d1 + d2 == 0: print('infinity') elif d1 < 0 > d2 or d1 > 0 < d2: print((0)) else: if d1 < 0: d1 *= -1 d2 *= -1 if d1 + d2 > 0: print((0)) elif d1 % (d1+d2) == 0: print((d1 // abs(d1+d2) * 2)) else: print((d1 // abs(d1+d2) * 2 + 1)) main()
p02846
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) dis1 = (A1 - B1) * T1 dis2 = (A2 - B2) * T2 if dis1 > 0: dis1 = -dis1 dis2 = -dis2 if dis1 + dis2 <0: print((0)) elif dis1 == -dis2: print("infinity") else: S = dis1//(dis1+dis2) R = dis1%(dis1+dis2) if R == 0: ans = S*2 else: ans = S*2 + 1 print((abs(ans)))
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) dis1 = (A1 - B1) * T1 dis2 = (A2 - B2) * T2 if dis1 > 0: dis1 = -dis1 dis2 = -dis2 """ if dis1 + dis2 <0: print(0) elif dis1 == -dis2: print("infinity") """ if dis1 + dis2 == 0: print("infinity") elif dis1+dis2 < 0: print((0)) else: S = dis1//(dis1+dis2) R = dis1%(dis1+dis2) if R == 0: ans = S*2 else: ans = S*2 + 1 print((abs(ans)))
p02846
def sign(x): if x==0: return 0 else: return abs(x)//x def flag(x,y): return sign(x)==sign(y) T1,T2=list(map(int,input().split())) A1,A2=list(map(int,input().split())) B1,B2=list(map(int,input().split())) if A1*T1+A2*T2==B1*T1+B2*T2: print("infinity") exit() ans=0 X=(B1-A1)*T1 Y=(B2-A2)*T2 tmp=0 while(1): if tmp==0: tmp+=X else: if not(flag(tmp,tmp+X)): ans+=1 tmp+=X if tmp==0: tmp+=Y else: if not(flag(tmp,tmp+Y)): ans+=1 tmp+=Y if flag(tmp,tmp+X) and flag(tmp+X,tmp+X+Y): break print(ans)
T1,T2=list(map(int,input().split())) A1,A2=list(map(int,input().split())) B1,B2=list(map(int,input().split())) X=(B1-A1)*T1 Y=(B2-A2)*T2 if X>0: X=-X Y=-Y if X+Y<0: print((0)) elif X+Y==0: print("infinity") else: A=(-X)//(X+Y) B=(-X)%(X+Y) if B!=0: print((2*A+1)) else: print((2*A))
p02846
#!usr/bin/env python3 from collections import defaultdict,deque from heapq import heappush, heappop import sys import math import bisect import random def LI(): return [int(x) for x in sys.stdin.readline().split()] def I(): return int(sys.stdin.readline()) def LS():return [list(x) for x in sys.stdin.readline().split()] def S(): res = list(sys.stdin.readline()) if res[-1] == "\n": return res[:-1] return res def IR(n): return [I() for i in range(n)] def LIR(n): return [LI() for i in range(n)] def SR(n): return [S() for i in range(n)] def LSR(n): return [LS() for i in range(n)] sys.setrecursionlimit(1000000) mod = 1000000007 def solve(): t = LI() a = LI() b = LI() a[0] -= b[0] a[1] -= b[1] if t[0]*a[0] == -t[1]*a[1]: print("infinity") return if a[0] < 0: a[0] *= -1 a[1] *= -1 if t[0]*a[0]+t[1]*a[1] > 0: print((0)) return l = 0 r = 10**100 A = t[0]*a[0]+t[1]*a[1] while r-l > 1: m = (l+r) >> 1 x = m*A y = x+t[0]*a[0] if x*y <= 0: l = m else: r = m ans = r*2-1 if l*A+t[0]*a[0] == 0: ans -= 1 print(ans) return #Solve if __name__ == "__main__": solve()
#!usr/bin/env python3 from collections import defaultdict,deque from heapq import heappush, heappop import sys import math import bisect import random def LI(): return [int(x) for x in sys.stdin.readline().split()] def I(): return int(sys.stdin.readline()) def LS():return [list(x) for x in sys.stdin.readline().split()] def S(): res = list(sys.stdin.readline()) if res[-1] == "\n": return res[:-1] return res def IR(n): return [I() for i in range(n)] def LIR(n): return [LI() for i in range(n)] def SR(n): return [S() for i in range(n)] def LSR(n): return [LS() for i in range(n)] sys.setrecursionlimit(1000000) mod = 1000000007 def solve(): t = LI() a = LI() b = LI() a[0] -= b[0] a[1] -= b[1] if t[0]*a[0] == -t[1]*a[1]: print("infinity") return if a[0] < 0: a[0] *= -1 a[1] *= -1 if t[0]*a[0]+t[1]*a[1] > 0: print((0)) return A = t[0]*a[0]+t[1]*a[1] k = t[0]*a[0] x = k//(-A) ans = 2*x+1 if A*x+k == 0: ans -= 1 print(ans) return #Solve if __name__ == "__main__": solve()
p02846
#!/usr/bin/env python3 from collections import defaultdict, Counter from itertools import product, groupby, count, permutations, combinations from math import pi, sqrt from collections import deque from bisect import bisect, bisect_left, bisect_right from string import ascii_lowercase from functools import lru_cache import sys sys.setrecursionlimit(10000) INF = float("inf") YES, Yes, yes, NO, No, no = "YES", "Yes", "yes", "NO", "No", "no" dy4, dx4 = [0, 1, 0, -1], [1, 0, -1, 0] dy8, dx8 = [0, -1, 0, 1, 1, -1, -1, 1], [1, 0, -1, 0, 1, 1, -1, -1] def inside(y, x, H, W): return 0 <= y < H and 0 <= x < W def ceil(a, b): return (a + b - 1) // b def sum_of_arithmetic_progression(s, d, n): return n * (2 * s + (n - 1) * d) // 2 def gcd(a, b): if b == 0: return a return gcd(b, a % b) def lcm(a, b): g = gcd(a, b) return a / g * b def meet(diff, T1, T2, A1, A2, B1, B2): ans = 0 pre_diff = diff a = T1 * A1 b = T1 * B1 diff += a diff -= b if (pre_diff * diff) < 0 or (pre_diff != 0 and diff == 0): ans += 1 pre_diff = diff a = T2 * A2 b = T2 * B2 diff += a diff -= b if (pre_diff * diff) < 0 or (pre_diff != 0 and diff == 0): ans += 1 return ans def solve(): T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) # 無限回 if (T1 * A1 + T2 * A2) == (T1 * B1 + T2 * B2): print("infinity") return # 0回 if (A1 > B1 and A2 > B2) or (A1 < B1 and A2 < B2): print((0)) return one_diff = (T1 * A1 + T2 * A2) - (T1 * B1 + T2 * B2) ans = 0 diff = 0 while True: num = meet(diff, T1, T2, A1, A2, B1, B2) if num == 0: break ans += num diff += one_diff print(ans) def main(): solve() if __name__ == '__main__': main()
#!/usr/bin/env python3 from collections import defaultdict, Counter from itertools import product, groupby, count, permutations, combinations from math import pi, sqrt from collections import deque from bisect import bisect, bisect_left, bisect_right from string import ascii_lowercase from functools import lru_cache import sys sys.setrecursionlimit(10000) INF = float("inf") YES, Yes, yes, NO, No, no = "YES", "Yes", "yes", "NO", "No", "no" dy4, dx4 = [0, 1, 0, -1], [1, 0, -1, 0] dy8, dx8 = [0, -1, 0, 1, 1, -1, -1, 1], [1, 0, -1, 0, 1, 1, -1, -1] def inside(y, x, H, W): return 0 <= y < H and 0 <= x < W def ceil(a, b): return (a + b - 1) // b def sum_of_arithmetic_progression(s, d, n): return n * (2 * s + (n - 1) * d) // 2 def gcd(a, b): if b == 0: return a return gcd(b, a % b) def lcm(a, b): g = gcd(a, b) return a / g * b def meet(diff, T1, T2, A1, A2, B1, B2): ans = 0 pre_diff = diff a = T1 * A1 b = T1 * B1 diff += a diff -= b if (pre_diff * diff) < 0 or (pre_diff != 0 and diff == 0): ans += 1 pre_diff = diff a = T2 * A2 b = T2 * B2 diff += a diff -= b if (pre_diff * diff) < 0 or (pre_diff != 0 and diff == 0): ans += 1 return ans def solve(): T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) # 無限回 if (T1 * A1 + T2 * A2) == (T1 * B1 + T2 * B2): print("infinity") return # 0回 if (A1 > B1 and A2 > B2) or (A1 < B1 and A2 < B2): print((0)) return one_diff = (T1 * A1 + T2 * A2) - (T1 * B1 + T2 * B2) ans = 0 diff = 0 for i in range(100): num = meet(diff, T1, T2, A1, A2, B1, B2) if num == 0: break ans += num diff += one_diff left = -1 right = 10**20 while right - left > 1: m = (right + left) // 2 tmp = diff + m * one_diff if meet(tmp, T1, T2, A1, A2, B1, B2): left = m else: right = m x = max(0, left - 10) ans += meet(diff, T1, T2, A1, A2, B1, B2) * x diff += one_diff * x for i in range(100): num = meet(diff, T1, T2, A1, A2, B1, B2) if num == 0: break ans += num diff += one_diff print(ans) def main(): solve() if __name__ == '__main__': main()
p02846
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) dif = T1*A1+T2*A2-T1*B1-T2*B2 if dif==0: print("infinity") elif dif>0: if B1>A1: k = int(((B1-A1)*T1)/dif) if abs(((B1-A1)*T1)/dif-round(((B1-A1)*T1)/dif))<1e-20: print((2*round(((B1-A1)*T1)/dif))) else: print((2*k+1)) else: print((0)) else: if A1>B1: k = int(((A1-B1)*T1)/abs(dif)) if abs((A1-B1)*T1/abs(dif)-round(((A1-B1)*T1)/abs(dif)))<1e-20: print((2*round(((A1-B1)*T1)/abs(dif)))) else: print((2*k+1)) else: print((0))
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) if T1*A1+T2*A2==T1*B1+T2*B2: cnt="infinity" elif T1*A1+T2*A2>T1*B1+T2*B2: L = T1*(B1-A1) d = T1*A1+T2*A2-(T1*B1+T2*B2) if L<0: cnt = 0 elif L==0: cnt = 1 else: cnt = 1 n = L//d r = L%d if r>0: cnt += 2*n else: cnt += 2*(n-1)+1 elif T1*A1+T2*A2<T1*B1+T2*B2: L = T1*(A1-B1) d = (T1*B1+T2*B2)-(T1*A1+T2*A2) if L<0: cnt = 0 elif L==0: cnt = 1 else: cnt = 1 n = L//d r = L%d if r>0: cnt += 2*n else: cnt += 2*(n-1)+1 print(cnt)
p02846
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) len1 = T1 * A1 + T2 * A2 len2 = T1 * B1 + T2 * B2 if len1 == len2: print("infinity") quit() ans = 0 subs = 0 sub1 = T1 * (A1 - B1) sub2 = T2 * (A2 - B2) X = [1, 1] i = 0 while (X != [0, 0]): i += 1 if subs != 0: if subs ** 2 + subs * sub1 <= 0: ans += 1 X[0] = 1 else: X[0] = 0 subs = subs + sub1 if subs != 0: if subs ** 2 + subs * sub2 <= 0: ans += 1 X[1] = 1 else: X[1] = 0 subs = subs + sub2 print(ans)
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) B1,B2 = list(map(int,input().split())) len1 = T1 * A1 + T2 * A2 len2 = T1 * B1 + T2 * B2 if len1 == len2: print("infinity") quit() ans = 0 subs = 0 sub1 = T1 * (A1 - B1) sub2 = T2 * (A2 - B2) if sub1 > 0: if len1 - len2 > 0: ans = 0 else: S = (-1 * sub1) // (sub1 + sub2) T = (-1 * sub1) % (sub1 + sub2) if T == 0: ans = 2 * S else: ans = 2 * S + 1 else: if len1 - len2 < 0: ans = 0 else: S = (-1 * sub1) // (sub1 + sub2) T = (-1 * sub1) % (sub1 + sub2) if T == 0: ans = 2 * S else: ans = 2 * S + 1 print(ans)
p02846
T1, T2 = list(map(int, input().split())) A1, A2 = list(map(int, input().split())) B1, B2 = list(map(int, input().split())) D1 = T1 * (A1 - B1) D2 = T2 * (A2 - B2) li = [D1, D2] li.sort() pos = 0 cnt = 0 for _ in range(10000000): pos += li[0] pos1 = pos pos += li[1] pos2 = pos if pos1 < 0 and pos2 >= 0: cnt += 2 if cnt >= 1000000: print("infinity") else: print((cnt-1))
t1, t2 = list(map(int, input().split())) a1, a2 = list(map(int, input().split())) b1, b2 = list(map(int, input().split())) if ((a1 - b1) * (a2 - b2) > 0) or (abs(a1 - b1) * t1 > abs(a2 - b2) * t2): print((0)) elif abs(a1 - b1) * t1 == abs(a2 - b2) * t2: print("infinity") else: d, m = divmod(abs(a1 - b1) * t1, abs(a2 - b2) * t2 - abs(a1 - b1) * t1) ans = d * 2 if m > 0: ans += 1 print(ans)
p02846
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) #高橋君 B1,B2 = list(map(int,input().split())) #青木君 # 時間配列 T = [T1] f = 1 for i in range(3): if f: Tn = T2 f = 0 else: Tn = T1 f = 1 T.append(T[-1]+Tn) # print(T) class runner(): def __init__(self,v1,v2): self.v1 = v1 self.v2 = v2 def distance(self,t): d = t//(T1+T2)*(self.v1*T1 + self.v2*T2) tm = t % (T1+T2) # print("d",d,"tm",tm) if tm < T1: d += self.v1 * tm else: d += self.v2*(tm-T1) + self.v1*T1 return d dif = runner(A1-B1,A2-B2) c = -1 D = 0 DL = [0] for t in T: pD = D D = dif.distance(t) DL.append(D) # print(D) if pD*D <= 0: c += 1 # print(c) # print(DL) if DL[1]*DL[2] > 0: print((0)) else: if DL[2] == 0: print("infinity") else: a = DL[2] if a>0: if -DL[1]%a == 0: print((-DL[1]//a*2)) else: print((-DL[1]//a*2+1)) else: if -DL[1]%a == 0: print((-DL[1]//a*2)) else: print((-DL[1]//a*2+1))
T1,T2 = list(map(int,input().split())) A1,A2 = list(map(int,input().split())) #高橋君 B1,B2 = list(map(int,input().split())) #青木君 D1,D2 = (A1-B1)*T1, (A1-B1)*T1+(A2-B2)*T2 if D1*D2 > 0: print((0)) elif D2 == 0: print("infinity") else: if -D1%D2 == 0: print((-D1//D2*2)) else: print((-D1//D2*2+1))
p02846
t,T,a,A,b,B=list(map(int, open(0).read().split())) x,y=(a-b)*t,(A-B)*T if x+y==0: r="infinity" else: s,t=divmod(-x, x+y) r=0 if s<0 else s*2+(1 if t else 0) print(r)
t,T,a,A,b,B=list(map(int, open(0).read().split())) x,y=(b-a)*t,(A-B)*T if y-x==0: r="infinity" else: s,t=divmod(x,y-x) r=max(0,s*2+(1 if t else 0)) print(r)
p02846
def gcd(a, b): if a < b: a, b = b, a if b == 0: return a c = a % b return int(gcd(b, c)) def lcm(a, b): return int(a * b / gcd(a,b)) A, B, C, D = [int(x) for x in input().split()] l = lcm(C, D) A = A-1 x = (B-A) y = (B//C - A//C) z = (B//D - A//D) a = (B//l - A//l) print((x+a - (y+z)))
def gcd(a, b): if a < b: a, b = b, a if b == 0: return a r = a % b return gcd(b, r) def lcm(a, b): return a*b // gcd(a, b) A, B, C, D = list(map(int, input().split())) l = lcm(C, D) A = A-1 N_range = B - A l_sum = (B//l) - (A//l) c_sum = (B//C) - (A//C) d_sum = (B//D) - (A//D) print((N_range - c_sum - d_sum + l_sum))
p02995
# -*-coding: utf-8 -*- import sys import math def gcd(a, b): if b == 0: return a return gcd(b, a % b) def lcm(x, y): return (x * y) // gcd(x, y) def main(): input = sys.stdin.readline a, b, c, d = list(map(int, input().split())) a_1 = a - 1 lcm_cd = lcm(c,d) a_1_c_count = a_1 // c a_1_d_count = a_1 // d a_lcm_count = a_1 // lcm_cd a_1_result = a_1 - (a_1_c_count + a_1_d_count - a_lcm_count) b_c_count = b // c b_d_count = b // d b_lcm_count = b // lcm_cd b_result = (b) - (b_c_count + b_d_count - b_lcm_count) result = b_result - a_1_result print(result) return if __name__ == '__main__': main()
import sys def gcd(a, b): """ 最大公約数を求める """ if a < b: a, b = b, a while b: a, b = b, a % b return a def lcm(a, b): """ 最小公倍数を求める """ return a*b//(gcd(a, b)) input = sys.stdin.readline a, b, c, d = list(map(int, input().split())) div_ac = (a-1) // c div_bc = b // c div_ad = (a-1) // d div_bd = b // d lcm_cd = lcm(c,d) div_acd = (a-1) // lcm_cd div_bcd = b // lcm_cd a_1_result = div_ac + div_ad - div_acd b_result = div_bc + div_bd - div_bcd print(((b+1 - a) - (b_result - a_1_result)))
p02995
from math import * a,b,c,d = list(map(int,input().split())) f =(c*d)//gcd(c,d) r = f rock = 2 compteur= 0 if f<=b: while f<=b: if f>=a and f<=b: compteur +=1 f = r*rock rock += 1 div1 = ((b//c)-(a//c)) div2 = ((b//d)-(a//d)) if a%c == 0: div1+=1 if a%d ==0: div2 +=1 roger =(div1+div2)-compteur mm = (b-a)+1 print((mm-roger))
from math import * a,b,c,d = list(map(int,input().split())) f =(c*d)//gcd(c,d) r = f rock = 2 compteur= (b//f)-(a//f) if a%f==0: compteur +=1 div1 = ((b//c)-(a//c)) div2 = ((b//d)-(a//d)) if a%c == 0: div1+=1 if a%d ==0: div2 +=1 roger =(div1+div2)-compteur mm = (b-a)+1 print((mm-roger))
p02995
import sys def S(): return sys.stdin.readline().rstrip() A,B,C,D = list(map(int,S().split())) from math import gcd def f(n): # 1からnまでCでもDでも割り切れない自然数の個数 return n-n//C-n//D+n//(C*D//gcd(C,D)) print((f(B)-f(A-1)))
import sys sys.setrecursionlimit(10**7) def I(): return int(sys.stdin.readline().rstrip()) def MI(): return list(map(int,sys.stdin.readline().rstrip().split())) def LI(): return list(map(int,sys.stdin.readline().rstrip().split())) #空白あり def LI2(): return list(map(int,sys.stdin.readline().rstrip())) #空白なし def S(): return sys.stdin.readline().rstrip() def LS(): return list(sys.stdin.readline().rstrip().split()) #空白あり def LS2(): return list(sys.stdin.readline().rstrip()) #空白なし A,B,C,D = MI() from math import gcd def f(n): return n-n//C-n//D+n//((C*D)//gcd(C,D)) print((f(B)-f(A-1)))
p02995
import sys sys.setrecursionlimit(10**7) def I(): return int(sys.stdin.readline().rstrip()) def MI(): return list(map(int,sys.stdin.readline().rstrip().split())) def LI(): return list(map(int,sys.stdin.readline().rstrip().split())) #空白あり def LI2(): return list(map(int,sys.stdin.readline().rstrip())) #空白なし def S(): return sys.stdin.readline().rstrip() def LS(): return list(sys.stdin.readline().rstrip().split()) #空白あり def LS2(): return list(sys.stdin.readline().rstrip()) #空白なし A,B,C,D = MI() from math import gcd def f(n): return n-n//C-n//D+n//((C*D)//gcd(C,D)) print((f(B)-f(A-1)))
import sys def MI(): return list(map(int,sys.stdin.readline().rstrip().split())) A,B,C,D = MI() from math import gcd def f(n): return n-n//C-n//D+n//((C*D)//gcd(C,D)) print((f(B)-f(A-1)))
p02995
import math A, B, C, D = list(map(int, input().split())) def lcm(x, y): return (x * y) // math.gcd(x, y) X = lcm(C, D) ansB = (B-B//C)+(B-B//D)-(B-B//X) ansA = ((A-1)-((A-1)//C))+((A-1)-(A-1)//D)-((A-1)-(A-1)//X) print((ansB-ansA))
import math A, B, C, D = list(map(int, input().split())) X= (C * D) // math.gcd(C, D) ansB = (B-B//C)+(B-B//D)-(B-B//X) ansA = ((A-1)-((A-1)//C))+((A-1)-(A-1)//D)-((A-1)-(A-1)//X) print((ansB-ansA))
p02995
#!/usr/bin/env python3 #ABC131 C import sys import math import bisect sys.setrecursionlimit(1000000000) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) def gcd(n,m): if m == 0: return n else: return gcd(m,n%m) def lcm(n,m): return (n*m)//gcd(n,m) a,b,c,d = LI() i,j,k = (a-1)//c,(a-1)//d,(a-1)//lcm(c,d) s,t,u = b//c,b//d,b//lcm(c,d) x = b - s - t + u y = (a-1) - i - j + k print((x -y))
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl sys.setrecursionlimit(2147483647) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) a, b, c, d = LI() ans = b - a + 1 lcm = c * d // math.gcd(c, d) ans -= b // c - ((a-1) // c + 1) + 1 ans -= b // d - ((a-1) // d + 1) + 1 ans += b // lcm - ((a-1) // lcm + 1) + 1 print(ans)
p02995
# -*- coding: utf-8 -*- '''Snippets for lcm. Available functions: - lcm: Compute least common multiple of a and b. ''' def lcm(a: int, b: int) -> int: '''Compute least common multiple of a and b. Args: a: Int of number (greater than 0). b: Int of number (greater than 0). Returns: least common multiple. Landau notation: O(log n) See: https://gist.github.com/endolith/114336/eff2dc13535f139d0d6a2db68597fad2826b53c3 https://docs.python.org/3/library/sys.html#sys.version_info ''' from sys import version_info if version_info.major == 3 and version_info.minor >= 5: from math import gcd else: from fractions import gcd return a * b // gcd(a, b) def main(): a, b, c, d = list(map(int, input().split())) l = lcm(c, d) x = b // c - (a - 1) // c y = b // d - (a - 1) // d z = b // l - (a - 1) // l w = b - a + 1 if c % d == 0 or d % c == 0: print((w - x)) else: print((w - (x + y - z))) if __name__ == '__main__': main()
# -*- coding: utf-8 -*- '''Snippets for lcm. Available functions: - lcm: Compute least common multiple of a and b. ''' def lcm(a: int, b: int) -> int: '''Compute least common multiple of a and b. Args: a: Int of number (greater than 0). b: Int of number (greater than 0). Returns: least common multiple. Landau notation: O(log n) See: https://gist.github.com/endolith/114336/eff2dc13535f139d0d6a2db68597fad2826b53c3 https://docs.python.org/3/library/sys.html#sys.version_info ''' from sys import version_info if version_info.major == 3 and version_info.minor >= 5: from math import gcd else: from fractions import gcd return a * b // gcd(a, b) def main(): a, b, c, d = list(map(int, input().split())) l = lcm(c, d) x = b // c - (a - 1) // c y = b // d - (a - 1) // d z = b // l - (a - 1) // l w = b - a + 1 print((w - (x + y - z))) if __name__ == '__main__': main()
p02995
a,b,c,d = list(map(int,input().split())) def gcd(x,y): while y>0: x,y = y,x%y return x def lcm(x,y): return x*y//gcd(x,y) ans = (b-a+1) - (b//c-a//c)- (b//d-a//d) + b//lcm(d,c) - a//lcm(d,c) if a%c == 0 and a%d != 0: ans -=1 elif a%c != 0 and a%d == 0: ans -=1 elif a%c == 0 and a%d == 0: ans -=1 print(ans)
a,b,c,d = list(map(int,input().split())) def gcd(x,y): while y>0: x,y = y,x%y return x def lcm(x,y): return x*y//gcd(x,y) ans = (b-a+1) - (b//c-(a-1)//c)- (b//d-(a-1)//d) + b//lcm(d,c) - (a-1)//lcm(d,c) print(ans)
p02995
import sys import math input = sys.stdin.readline# 最小公倍数 def gcd(a, b): while b: a, b = b, a % b return a def lcm(x, y): return (x * y) // gcd(x, y) a, b, c, d = list(map(int, input().split())) e = lcm(c, d) #print("e: {}".format(e)) #print("c: {} - {}".format(b // c, (a - 1) // c)) #print("d: {} - {}".format(b // d, (a - 1) // d)) #print("e: {} - {}".format(b // e, (a - 1) // e)) count_c = b // c - (a - 1) // c count_d = b // d - (a - 1) // d count_e = b // e - (a - 1) // e # b - a の中から d の倍数の個数を取得 #print("count_c: {}".format(count_c)) #print("count_d: {}".format(count_d)) #print("count_e: {}".format(count_e)) print((b - a + 1 - (count_c + count_d - count_e)))
import sys input = sys.stdin.readline# 最小公倍数 def gcd(a, b): while b: a, b = b, a % b return a def lcm(x, y): return (x * y) // gcd(x, y) a, b, c, d = list(map(int, input().split())) e = lcm(c, d) count_c = b // c - (a - 1) // c count_d = b // d - (a - 1) // d count_e = b // e - (a - 1) // e print((b - a + 1 - (count_c + count_d - count_e)))
p02995
def gcd(x,y): x, y = max(x,y), min(x,y) while x!=y : x, y = max(x,y), min(x,y) x -= y return x #print(gcd(4,8)) a,b,c,d = list(map(int,input().split())) c_ok = b//c - (a-1)//c d_ok = b//d - (a-1)//d cd = int(c*d/gcd(c,d)) cd_ok = b//cd - (a-1)//cd print((int(b-a+1-c_ok-d_ok+cd_ok)))
def gcd(x,y): x, y = max(x,y), min(x,y) while x!=0 : x, y = max(x,y), min(x,y) x %= y return y #print(gcd(4,8)) a,b,c,d = list(map(int,input().split())) c_ok = b//c - (a-1)//c d_ok = b//d - (a-1)//d cd = int(c*d/gcd(c,d)) cd_ok = b//cd - (a-1)//cd print((int(b-a+1-c_ok-d_ok+cd_ok)))
p02995
def gcd(a, b): if b == 0: return a else: return gcd(b, a%b) A, B, C, D = list(map(int, input().split())) CD = C*D//gcd(C, D) count1 = (B // C - A // C) count2 = (B // D - A // D) count3 = (B // CD - A // CD) if A % C == 0: count1 += 1 if A % D == 0: count2 += 1 if A % CD == 0: count3 += 1 print((B - A + 1 - ((count1 + count2) - count3)))
def gcd(a, b): if b == 0: return a else: return gcd(b, a%b) A, B, C, D = list(map(int, input().split())) CD = C*D//gcd(C, D) count1 = (B // C - (A - 1) // C) count2 = (B // D - (A - 1) // D) count3 = (B // CD - (A - 1) // CD) print((B - (A - 1) - ((count1 + count2) - count3)))
p02995
def gcd(i,j): if i > j: tmp = i i = j j = tmp while i != 0: tmp = i i = j%i j = tmp return j def lcm(i,j): return i*j//gcd(i,j) def main(): a,b,c,d = list(map(int,input().split())) ans = b-a+1 ans -= (b//c - (a-1)//c) + (b//d - (a-1)//d) - (b//lcm(c,d) -(a-1)//lcm(c,d)) print(ans) main()
#!/usr/bin/env python3 a,b,c,d = list(map(int,input().split())) def my_gcd(i,j): if i > j: i,j = j,i while i != 0: if j % i != 0: i,j = j%i,i else: return i def not_div(n): return b//n - (a-1) //n print((not_div(1)-not_div(c)-not_div(d)+not_div(c*d//my_gcd(c,d))))
p02995
from math import floor, ceil, gcd a,b,c,d = list(map(int, input().split())) if a%c == 0: c_m_min = a else: c_m_min = a + c - a%c c_m_max = b - b%c c_cnt = (c_m_max - c_m_min)//c + 1 if c_m_min > b or c_m_max < a : c_cnt = 0 if a%d == 0: d_m_min = a else: d_m_min = a + d - a%d d_m_max = b - b%d d_cnt = (d_m_max - d_m_min)//d + 1 if d_m_min > b or d_m_max < a : d_cnt = 0 cd = c*d//gcd(c,d) if a%cd == 0: cd_m_min = a else: cd_m_min = a + cd - a%cd cd_m_max = b - b%cd cd_cnt = (cd_m_max - cd_m_min)//cd + 1 if cd_m_min > b or cd_m_max < a : cd_cnt = 0 ans = b - a + 1 - c_cnt - d_cnt + cd_cnt print(ans)
from math import gcd def lcm(x,y): return (x * y) // gcd(x, y) a,b,c,d = list(map(int, input().split())) a_cnt = 0 a_cnt = (b//c) - ((a-1)//c) b_cnt = (b//d) - ((a-1)//d) lcmab = lcm(c,d) ab_cnt = (b//lcmab) - ((a-1)//lcmab) ans = (b-a+1) - a_cnt -b_cnt + ab_cnt print(ans)
p02995
#@k0gane_p a, b, c, d = [int(i) for i in input().split()] def gcd(x,y):#最大公約数 while y: x,y = y, x%y return x def lcm(x,y):#最小公倍数 return x*y // gcd (x,y) def count(A,B,C):#A以下で、BでもCでも割り切れない個数 D=A//B E=A//C F=A // lcm(B,C) return A-D-E+F ans = count(b, c, d) - count(a, c, d) #A以上B以下の整数のうち、CでもDでも割り切れないものの個数 if(a % c != 0 and a % d != 0): ans += 1#AがCでもDでも割り切れないなら、足す1 print(ans)
#@k0gane_p a, b, c, d = [int(i) for i in input().split()] def gcd(x,y):#最大公約数 while y: x,y = y, x%y return x def lcm(x,y):#最小公倍数 return x*y // gcd (x,y) def count(A,B,C):#A以下で、BでもCでも割り切れない個数 D=A//B E=A//C F=A // lcm(B,C) return A-D-E+F ans = count(b, c, d) - count(a-1, c, d) #A以上B以下の整数のうち、CでもDでも割り切れないものの個数 #if(a % c != 0 and a % d != 0): #ans += 1#AがCでもDでも割り切れないなら、足す1 print(ans)
p02995
#@k0gane_p a, b, c, d = [int(i) for i in input().split()] def gcd(x,y):#最大公約数 while y: x,y = y, x%y return x def lcm(x,y):#最小公倍数 return x*y // gcd (x,y) def count(A,B,C):#A以下で、BでもCでも割り切れない個数 D=A//B E=A//C F=A // lcm(B,C) return A-D-E+F ans = count(b, c, d) - count(a-1, c, d) #A以上B以下の整数のうち、CでもDでも割り切れないものの個数 #if(a % c != 0 and a % d != 0): #ans += 1#AがCでもDでも割り切れないなら、足す1 print(ans)
#@k0gane_p a, b, c, d = [int(i) for i in input().split()] def gcd(x,y):#最大公約数 while y: x,y = y, x%y return x def lcm(x,y):#最小公倍数 return x*y // gcd (x,y) def count(A,B,C):#A以下で、BでもCでも割り切れない個数 D=A//B E=A//C F=A // lcm(B,C)#Fは両方で割り切れる、最小公倍数で割り切れる return A-D-E+F#包除原理 ans = count(b, c, d) - count(a-1, c, d) #A以上B以下の整数のうち、CでもDでも割り切れないものの個数 #Aを引く1することで、A以上が分かる #if(a % c != 0 and a % d != 0): #ans += 1#AがCでもDでも割り切れないなら、足す1 print(ans)
p02995
#!/usr/bin/env python3 import sys import math import decimal import itertools from itertools import product from functools import reduce def input(): return sys.stdin.readline()[:-1] def sort_zip(a:list, b:list): z = list(zip(a, b)) z = sorted(z) a, b = list(zip(*z)) a = list(a) b = list(b) return a, b def warikirenai(n, warukazu): return n - n // warukazu def lcm_base(x, y): return (x * y) // math.gcd(x, y) def lcm(*numbers): return reduce(lcm_base, numbers, 1) def main(): A, B, C, D = list(map(int, input().split())) ansA = 0 ansA += warikirenai(A - 1, C) ansA += warikirenai(A - 1, D) ansA -= warikirenai(A - 1, lcm(C, D)) ansB = 0 ansB += warikirenai(B, C) ansB += warikirenai(B, D) ansB -= warikirenai(B, lcm(C, D)) print((ansB - ansA)) if __name__ == '__main__': main()
#!/usr/bin/env python3 import sys import math import decimal import itertools from itertools import product from functools import reduce def input(): return sys.stdin.readline()[:-1] def sort_zip(a:list, b:list): z = list(zip(a, b)) z = sorted(z) a, b = list(zip(*z)) a = list(a) b = list(b) return a, b def lcm_base(x, y): return (x * y) // math.gcd(x, y) def lcm(*numbers): return reduce(lcm_base, numbers, 1) def warikirenai(n, c, d): num = n - n // c num += n - n // d num -= n - n // lcm(c, d) return num def main(): A, B, C, D = list(map(int, input().split())) print((warikirenai(B, C, D) - warikirenai(A - 1, C, D))) if __name__ == '__main__': main()
p02995
import sys from collections import Counter, deque, defaultdict from itertools import accumulate, permutations, combinations, takewhile, compress, cycle from functools import reduce from math import ceil, floor, log10, log2, factorial from pprint import pprint sys.setrecursionlimit(1000000) # MOD = 10 ** 9 + 7 # N = int(input()) # A = [int(x) for x in input().split()] # V = [[0] * 100 for _ in range(100)] # A = [int(input()) for _ in range(N)] A, B, C, D = [int(x) for x in input().split()] def gcd(x, y): while (y): x, y = y, x % y return x def lcm(x, y): return (x * y) // gcd(x, y) def f(a, b, c): if a % c == 0: a1 = a // c else: a1 = a // c + 1 b1 = b // c r = b1 - a1 + 1 return r # c = (B - A + 1) // C # d = (B - A + 1) // D # cd = (B - A + 1) // (C * D) c = f(A, B, C) d = f(A, B, D) cd = f(A, B, lcm(C, D)) n = B - A + 1 print((n - c - d + cd))
import sys from collections import Counter, deque, defaultdict from itertools import accumulate, permutations, combinations, takewhile, compress, cycle from functools import reduce from math import ceil, floor, log10, log2, factorial from pprint import pprint sys.setrecursionlimit(1000000) # MOD = 10 ** 9 + 7 # N = int(input()) # A = [int(x) for x in input().split()] # V = [[0] * 100 for _ in range(100)] # A = [int(input()) for _ in range(N)] A, B, C, D = [int(x) for x in input().split()] def gcb(a, b): # a, b = max([a, b]), min([a, b]) return a if b == 0 else gcb(b, a % b) def lcm(a, b): return a * b // gcb(a, b) g = lcm(C, D) c = B // C - (A - 1) // C d = B // D - (A - 1) // D cd = B // g - (A - 1) // g print((B - A + 1 - c - d + cd))
p02995
import sys from math import pi def gcd(a, b): a, b = max(a, b), min(a, b) while a % b > 0: a, b = b, a % b return b def solve(): input = sys.stdin.readline A, B, C, D = list(map(int, input().split())) cDiv = (B // C) - ((A - 1) // C) dDiv = (B // D) - ((A - 1) // D) cd = C * D // gcd(C, D) cdDiv = (B // cd) - ((A - 1) // cd) print(((B - A + 1) - (cDiv + dDiv - cdDiv))) return 0 if __name__ == "__main__": solve()
import sys def lcm(a, b): a, b = max(a, b), min(a, b) c = a * b while a % b > 0: a, b = b, a % b return c // b def solve(): input = sys.stdin.readline A, B, C, D = list(map(int, input().split())) divC = B // C - (A - 1) // C divD = B // D - (A - 1) // D cd = lcm(C, D) divCD = B // cd - (A - 1) // cd print((B - A + 1 - (divC + divD - divCD))) return 0 if __name__ == "__main__": solve()
p02995
def gcd(a,b): while b!=0: a,b=b,a%b return a def lcm(a,b): return a*b//gcd(a,b) a,b,c,d=list(map(int,input().split())) a-=1 b_1=b//c b_1+=b//d b_1-=b//lcm(c,d) a_1=a//c a_1+=a//d a_1-=a//lcm(c,d) print(((b-b_1)-(a-a_1)))
a,b,c,d=list(map(int,input().split())) def gcd(a, b): while b: a, b = b, a % b return a #a,bの最小公倍数 def lcm(a, b): return a * b // gcd (a, b) a1=(a-1)//c a2=b//c b1=(a-1)//d b2=b//d new_lcm=lcm(c,d) c1=(a-1)//new_lcm c2=b//new_lcm print(((b-a)+1-((a2-a1)+(b2-b1))+(c2-c1))) #print(a1,a2,b1,b2,c1,c2)
p02995
A,B,C,D =list(map(int,input().split())) x = C y = D while y>0: x,y = y,x%y E = (C//x)*D bc = B//C bd = B//D be = B//E b = B-(bc+bd-be) ac = (A-1)//C ad = (A-1)//D ae = (A-1)//E a = A-1-(ac+ad-ae) print((b-a))
def gcd(x,y): while y>0: x,y = y,x%y return x A,B,C,D = list(map(int,input().split())) c1 = B//C-(A-1)//C d1 = B//D-(A-1)//D E = (C//gcd(C,D))*D e1 = B//E-(A-1)//E print((B-A+1-c1-d1+e1))
p02995
from math import gcd from decimal import Decimal as dec a, b, c, d = list(map(dec,input().split())) if a % c ==0: c_explicit = b // c - a // c + 1 else: c_explicit = b // c - a // c if a % d ==0: d_explicit = b // d - a // d + 1 else: d_explicit = b // d - a // d e = gcd(int(c), int(d)) e = dec(e) gcl = (c / e) * (d / e) * e if a % gcl ==0: e_explicit = b // gcl - a // gcl + 1 else: e_explicit = b // gcl - a // gcl g = b - a + 1 - c_explicit - d_explicit + e_explicit print(g)
from math import gcd as gcd a, b, c, d = list(map(int,input().split())) #cでわれるもの s = gcd(c, d) p = c * d // s divide_c = b // c - (a - 1) // c divide_d = b // d - (a - 1) // d divide_cd = b // p - (a - 1) // p print((int(b - a + 1 - divide_c - divide_d + divide_cd)))
p02995
import math a, b, c, d = list(map(int, input().split())) c_f = (a + c - 1) // c c_e = b // c d_f = (a + d - 1) // d d_e = b // d cd = c * d // math.gcd(c, d) c_d_num = b // cd - (a + cd - 1) // cd + 1 num = b - a + 1 - (c_e - c_f + 1 + d_e - d_f + 1 - c_d_num) print(num)
import math a, b, c, d = list(map(int, input().split())) def f(a, b, c): return b // c - (a + c - 1) // c + 1 c_num = f(a, b, c) d_num = f(a, b, d) cp = c dp = d mod = 1 while mod > 0: mod = cp % dp cp = dp dp = mod cd_num = f(a, b, (c * d) // cp) print((b - a + 1 - c_num - d_num + cd_num))
p02995
import math from decimal import * getcontext().prec = 50 a,b,c,d = list(map(int,input().split())) from functools import reduce def gcd(a,b): if a < b: a, b = b, a while a % b != 0: a, b = b, a % b return b def lcm_base(x, y): return (x * y) // gcd(x, y) def lcm_list(numbers): return reduce(lcm_base, numbers, 1) gcd = lcm_list([c,d]) def solve(n): start = n * math.ceil(Decimal(a) / Decimal(n)) end = n * (Decimal(b) // Decimal(n)) #print(start,end) return (end - start) // n + 1 #print(solve(c),solve(d),solve(gcd)) ans = solve(c) + solve(d) - solve(gcd) #print(ans) print((b - a - ans + 1))
from functools import reduce def gcd(a,b): if a < b: a, b = b, a while a % b != 0: a, b = b, a % b return b def lcm_base(x, y): return (x * y) // gcd(x, y) def lcm_list(numbers): return reduce(lcm_base, numbers, 1) a,b,c,d = list(map(int,input().split())) lcm = lcm_list([c,d]) res1 = a - 1 - ((a - 1) // c + (a - 1) // d - (a - 1) // lcm) res2 = b - (b // c + b // d - b // lcm) print((res2 - res1))
p02995
a, b, c, d = list(map(int, input().split())) def gcd(a, b): if a == 0: return b return gcd(b % a, a) def count(x, y): return x // y cd = c * d // gcd(c, d) print((b - a + 1 - count(b, c) + count(a - 1, c) - count(b, d) + count(a - 1, d) + count(b, cd) - count(a - 1, cd)))
a, b, c, d = list(map(int, input().split())) def gcd(a, b): return b if a == 0 else gcd(b % a, a) def lcm(a, b): return a // gcd(a, b) * b def count(x): return x - (x // c) - (x // d) + (x // lcm(c, d)) print((count(b) - count(a - 1)))
p02995
def gcd(a,b): while b: a,b = b,a % b return a def lcm(a,b): return a * b // gcd (a, b) a,b,c,d=list(map(int,input().split())) e=lcm(c,d) cc=(b//c)-((a-1)//c) dd=(b//d)-((a-1)//d) cd=(b//e)-((a-1)//e) print(((b-a+1)-(cc+dd-cd)))
def gcd(a,b): while b: a,b=b,a%b return a def lcm(a,b): return a * b // gcd(a,b) a,b,c,d=list(map(int,input().split())) e=lcm(c,d) print(((b-a+1)-(b//c-(a-1)//c)-(b//d-(a-1)//d)+(b//e-(a-1)//e)))
p02995
from math import gcd def count_indivs(N): return N - (N // C + N // D - N // L) A, B, C, D = list(map(int, input().split())) L = C * D // gcd(C, D) print((count_indivs(B) - count_indivs(A - 1)))
from math import gcd def f(x): return x - (x // C + x // D - x // lcm) A, B, C, D = list(map(int, input().split())) lcm = C * D // gcd(C, D) print((f(B) - f(A - 1)))
p02995
# -*- coding: utf-8 -*- A, B, C, D = list(map(int, input().split())) ans = 0 Am = 0 Bm = 0 df = 0 t = 0 def lcm(x, y): return (x * y) // gcd(x, y) def gcd(a, b): while b: a, b = b, a % b return a t = B - A + 1 Am = B // C - (A - 1) // C Bm = B // D - (A - 1) // D df = B // lcm(C, D) - (A - 1)//lcm(C, D) ans = t - (Am + Bm) + df print(ans)
# -*- coding: utf-8 -*- A, B, C, D = list(map(int, input().split())) ans = 0 Am = 0 Bm = 0 df = 0 t = 0 def lcm(x, y): return (x * y) // gcd(x, y) def gcd(a, b): while b: a, b = b, a % b return a t = B - A + 1 Am = (A - 1) // C + (A - 1) // D - (A - 1)//lcm(C, D) Bm = B // C + B // D - B // lcm(C, D) ans = t - (Bm - Am) print(ans)
p02995
import sys from math import gcd read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): A, B, C, D = list(map(int, readline().split())) G = C // gcd(C, D) * D c1, c2 = (A + C - 1) // C, B // C d1, d2 = (A + D - 1) // D, B // D g1, g2 = (A + G - 1) // G, B // G ans = (B - A + 1) - ((c2 - c1 + 1) + (d2 - d1 + 1) - (g2 - g1 + 1)) print(ans) return if __name__ == '__main__': main()
import sys from math import gcd read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): A, B, C, D = list(map(int, readline().split())) L = C // gcd(C, D) * D c1, c2 = (A + C - 1) // C, B // C d1, d2 = (A + D - 1) // D, B // D l1, l2 = (A + L - 1) // L, B // L ans = (B - A + 1) - ((c2 - c1 + 1) + (d2 - d1 + 1) - (l2 - l1 + 1)) print(ans) return if __name__ == '__main__': main()
p02995
def solve(): m, n = list(map(int, input().split())) print((m ** n % 1000000007)) solve()
def solve(): m, n = list(map(int, input().split())) print((pow(m, n, 1000000007))) solve()
p02468
MAX = 1000000007 m, n = [int(x) for x in input().split(' ')] bi_n = bin(n) ans = 1 dig = m for i in range(len(bi_n)-1, 1, -1): if bi_n[i] == '1': ans *= dig dig *= dig if ans >= MAX: ans %= MAX print(ans)
MAX = 1000000007 m, n = [int(x) for x in input().split(' ')] bi_n = bin(n) ans = 1 dig = m for i in range(len(bi_n)-1, 1, -1): if bi_n[i] == '1': ans *= dig if ans >= MAX: ans %= MAX dig *= dig if dig >= MAX: dig %= MAX print(ans)
p02468
m,n=list(map(int,input().split())) print((m**n%1000000007))
m,n=list(map(int,input().split())) print((pow(m,n,1000000007)))
p02468
M = (int)(1e9 + 7) m, n = list(map(int, input().split())) ans = 1; for i in range(n): ans *= m ans %= M print(ans)
mod = 1000000007 m, n = list(map(int, input().split())) print((pow(m,n,mod)))
p02468
from math import * def main(): m, n = [int(_) for _ in input().split()] print((int((m ** n) % 1000000007))) main()
def main(): m, n = [int(_) for _ in input().split()] print((pow(m, n, 1000000007))) main()
p02468
m, n = list(map(int, input().split())) print((divmod(pow(m, n), 1000000007)[1]))
m, n = list(map(int, input().split())) print((pow(m, n, 1000000007)))
p02468
def mpow(x,n): if n == 0: return 1 if n % 4 == 0: return mpow(x**4,int(n/4)) elif n%4 == 1: return mpow(x,int(n-1))*x elif n%4 == 2: return mpow(x,int(n-2))*x*x elif n%4 == 3: return mpow(x,int(n-3))*x*x*x n,m = list(map(int,input().split())) x = 1000000007 print((mpow(n,m)%x))
def mpow(x,n,mod): if n == 0: return 1 if n % 4 == 0: return mpow((x**4)%mod,int(n/4),mod) elif n%4 == 1: return (mpow(x,int(n-1),mod)*x)%mod elif n%4 == 2: return (mpow(x,int(n-2),mod)*(x**2))%mod elif n%4 == 3: return (mpow(x,int(n-3),mod)*(x**3))%mod n,m = list(map(int,input().split())) mod = 1000000007 print((mpow(n,m,mod)))
p02468
m, n = list(map(int, input().split())) mod = 1000000007 print((((m % mod) ** (n % mod)) % mod))
m, n = list(map(int, input().split())) print((pow(m, n, 1000000007)))
p02468
m, n = list(map(int, input().split())) p, q, d = 1, m, 1000000007 while True: if n & 1: p *= q p %= d n >>= 1 if not n: break q *= q q %= d print(p)
m, n = list(map(int, input().split())) print((pow(m, n, int(1e9) + 7)))
p02468
m,n=list(map(int,input().split())) print((m**n%(1000000007)))
m,n=list(map(int,input().split())) print((pow(m,n,1000000007)))
p02468
m,n = list(map(int,input().split())) k = m for i in range(1,n): m *= k if m > 1000000007: m %= 1000000007 print(m)
m,n = list(map(int,input().split())) def amari(m,n): if n == 0: return 1 if n % 2 == 0: return amari(m,n/2)**2%1000000007 else: return m*amari(m,n-1)%1000000007 print((amari(m,n)))
p02468
m,n=list(map(int,input().split())) mn=m**n if mn<=1000000007: print(mn) else: print((mn%1000000007))
m,n=list(map(int,input().split())) print((pow(m,n,1000000007)))
p02468
import sys mod = 10**9 + 7 def solve(): m, n = list(map(int, input().split())) ans = modpow(m, n, mod) print(ans) def modpow(x, y, mod): res = 1 while y: if y & 1: res = (res * x) % mod x = (x * x) % mod y >>= 1 return res if __name__ == '__main__': solve()
import sys mod = 10**9 + 7 def solve(): m, n = list(map(int, input().split())) print((pow(m, n, mod))) if __name__ == '__main__': solve()
p02468
try: (m,n) = list(map(int,input().split())) except: exit r = pow(m,n) % 1000000007 print (r)
(m,n) = list(map(int,input().split())) bi = str(format(n,"b")) bi = bi[::-1] c = 1 d = 1000000007 for i in bi: if ( i == "1"): c = ( c * m ) % d m = (m * m) %d print (c)
p02468
ri = lambda: int(input()) rl = lambda: list(map(int,input().split())) rr = lambda N: [ri() for _ in range(N)] YN = lambda b: print('YES') if b else print('NO') yn = lambda b: print('Yes') if b else print('No') OE = lambda x: print('Odd') if x%2 else print('Even') INF = 10**18 N=ri() W=[0]*N ans = 1 for i in range(N): W[i] = input() if i != 0 and W[i-1][-1] != W[i][0]: ans = 0 import collections Wc = collections.Counter(W).most_common() if Wc[0][1] != 1: ans = 0 yn(ans)
ri = lambda: int(input()) rl = lambda: list(map(int,input().split())) rr = lambda N: [ri() for _ in range(N)] YN = lambda b: print('YES') if b else print('NO') yn = lambda b: print('Yes') if b else print('No') OE = lambda x: print('Odd') if x%2 else print('Even') INF = 10**18 N=ri() W=[0]*N ans = 1 for i in range(N): W[i] = input() if ans == 1 and i != 0 and W[i-1][-1] != W[i][0]: ans = 0 if ans == 1 and len(set(W)) != N: ans = 0 yn(ans)
p03261
import sys stdin = sys.stdin inf = 1 << 60 mod = 1000000007 ni = lambda: int(ns()) nin = lambda y: [ni() for _ in range(y)] na = lambda: list(map(int, stdin.readline().split())) nan = lambda y: [na() for _ in range(y)] ns = lambda: stdin.readline().rstrip() nsn = lambda y: [ns() for _ in range(y)] ncl = lambda y: [list(ns()) for _ in range(y)] nas = lambda: stdin.readline().split() from collections import defaultdict N = ni() W = nsn(N) d = defaultdict(int) flag = True for i in range(N): if i and W[i - 1][-1] != W[i][0]: flag = False if d[W[i]] >= 1: flag = False d[W[i]] += 1 print(("Yes" if flag else "No"))
import sys stdin = sys.stdin inf = 1 << 60 mod = 1000000007 ni = lambda: int(ns()) nin = lambda y: [ni() for _ in range(y)] na = lambda: list(map(int, stdin.readline().split())) nan = lambda y: [na() for _ in range(y)] nf = lambda: float(ns()) nfn = lambda y: [nf() for _ in range(y)] nfa = lambda: list(map(float, stdin.readline().split())) nfan = lambda y: [nfa() for _ in range(y)] ns = lambda: stdin.readline().rstrip() nsn = lambda y: [ns() for _ in range(y)] ncl = lambda y: [list(ns()) for _ in range(y)] nas = lambda: stdin.readline().split() n = ni() w = nsn(n) flag = True dic = dict() last = w[0][0] for i in range(n): if dic.get(w[i], False): flag = False if last != w[i][0]: flag = False last = w[i][-1] dic[w[i]] = True print(("Yes" if flag else "No"))
p03261
def slove(): import sys import collections input = sys.stdin.readline n = int(input().rstrip('\n')) lw = "" d = collections.defaultdict(list) for i in range(n): w = str(input().rstrip('\n')) if lw != "": if w[0] != lw or w in d: print("No") exit() lw = w[-1] d[w] print("Yes") if __name__ == '__main__': slove()
def slove(): import sys import collections input = sys.stdin.readline n = int(input().rstrip('\n')) d = collections.defaultdict(int) s = [str(input().rstrip('\n')) for _ in range(n)] for i in range(n): if i != 0: if s[i][0] != s[i-1][-1] or s[i] in d: print("No") exit() d[s[i]] print("Yes") if __name__ == '__main__': slove()
p03261
import sys import collections def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 n = int(input().rstrip('\n')) s = [str(input().rstrip('\n')) for _ in range(n)] d = collections.defaultdict(int) d[s[0]] b = True for i in range(1, n): if s[i] not in d: d[s[i]] if s[i][0] != s[i-1][-1]: b = False break else: b = False break print(("Yes" if b else "No")) if __name__ == '__main__': solve()
import sys import collections def solve(): readline = sys.stdin.buffer.readline mod = 10 ** 9 + 7 n = int(readline()) d = collections.defaultdict(int) lstr = "1" for i in range(n): w = str(readline().rstrip().decode('utf-8')) if (w[0] == lstr or lstr == "1") and w not in d: d[w] lstr = w[-1] else: print("No") exit() print("Yes") if __name__ == '__main__': solve()
p03261
x = int(eval(input())) t = 1 ds = {0} while True: dc = ds.copy() for d in dc: if d + t == x or d - t == x: break ds.add(d + t) ds.add(d - t) else: t += 1 continue break print(t)
from math import ceil, sqrt x = int(eval(input())) print((ceil((-1 + sqrt(8 * x + 1)) / 2)))
p03781
import math import itertools X = int(eval(input())) P = [x for x in range(1, X+1)] Q = itertools.accumulate(P) for i, q in enumerate(Q): if q>=X: print((i+1)) break
X = int(eval(input())) for i in range(1, X+1): if i*(i+1)//2 >= X: print(i) break
p03781
x = int(eval(input())) for i in range(1, x+1): if sum([j for j in range(1, i+1)]) >= x: print(i) break
x = int(eval(input())) for i in range(1, x+1): if i * (i+1) / 2 >= x: print(i) break
p03781
X=int(eval(input())) place=[] time=1 place.append(0) while True: next=[] for i in place: if i+time not in place: next.append(i+time) if i-time not in place: next.append(i+time) if X in next: break time+=1 place.extend(next) print(time)
X=int(eval(input())) place=0 time=0 while place<X: time+=1 place+=time print(time)
p03781
str = eval(input()) x = int(str) res = 1 s = 0 for i in range(1, 10 ** 5): s = s + i if s >= x: res = i break print(res)
import math str = eval(input()) x = int(str) res = math.ceil((-1 + math.sqrt(1 + 8 * x)) / 2.0) print(res)
p03781
X = int(eval(input())) for n in range(1000000): # print((n * (n - 1) // 2)) if (n * (n - 1) // 2) >= X: break print((n - 1))
X = int(eval(input())) # for n in range(1000000): # # print((n * (n - 1) // 2)) # if (n * (n - 1) // 2) >= X: # break # n^2 - n - 2X <= 0 # n = (1 + sqrt(1 + 8X)) // 2 n = max(int((1 + (1 + 8 * X) ** 0.5) / 2) - 1, 0) while True: if (n * (n - 1) // 2) >= X: break n += 1 print((n - 1))
p03781
X=int(eval(input())) i=0 d=0 while d<X: i+=1 d=i*(i+1)//2 print(i)
X=int(eval(input())) d=0 for i in range(1,X+1): d+=i if d>=X: print(i) exit()
p03781
n=int(eval(input())) p=0 for i in range(1,int(n**0.5)+2): j,k=divmod(n-i,i) p+=0 if k or j<=i else j print(p)
n=int(eval(input())) p=0 for i in range(1,int(n**0.5)+10): if n%i==0 and n//i-1>i: p+=n//i-1 print(p)
p03050
N = int(eval(input())) ans = 0 for i in range(1,N): if N % i == 0: temp = N // i - 1 d,m = divmod(N,temp) if d != m: break else: ans += temp print(ans)
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 N = int(eval(input())) divisors = make_divisors(N) ans = 0 divisors.sort(reverse=True) for x in divisors: if x > 1: temp = x - 1 d,m = divmod(N,temp) if d != m: break else: ans += temp print(ans)
p03050
n = int(eval(input())) ans = 0 for i in range(1, int((n + 1)**0.5)): if n % i == 0: ans += n // i - 1 print(ans)
n=int(eval(input())) print((sum(n//i-1 for i in range(1,int((n+1)**0.5)) if n%i<1)))
p03050
N = int(eval(input())) ans = 0 for i in range(1, N + 1): x = (N - i) // i if x <= i: break if (N - i) % i == 0: ans += x print(ans)
N = int(eval(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) # divisors.sort() return divisors divs = make_divisors(N) ans = 0 for d in divs: if d == 1: continue m = d - 1 if N // m == N % m: ans += m print(ans)
p03050
# N//m=N%m # (N-N%m)/m=N%m # N=(N%m)(m+1) n=int(eval(input())) def make_divisor(x): ret=[] for i in range(1,int(x**.5)+1): q,m=divmod(x,i) if m==0: ret.append(i) if i==q:continue ret.append(q) return ret ans=[] d=make_divisor(n) for e in d: if e==1:continue m=e-1 k=n%m if k*e==n: ans.append(m) print((sum(ans)))
# N//m==N%m=k # N=k*m+k=k(m+1)=kM N=int(eval(input())) arr=[] for i in range(1,int(N**0.5)+1): if N%i==0: arr.append(N//i) if N//i!=i: arr.append(i) arr.sort() ans=0 for M in arr: m=M-1 if m==0:continue if N%m==N//m: ans+=m print(ans)
p03050
n = int(eval(input())) i = 1 ans = 0 while 1: if (n-i)%i == 0 : if ((n-i)//i) > i: ans += (n-i)//i else: break i += 1 print(ans)
n = int(eval(input())) i = 1 ans = 0 r = int(n**(1/2)) for i in range(1,r+1): if (n-i)%i == 0: if ((n-i)//i) > i: ans += (n-i)//i else: break print(ans)
p03050
n = int(eval(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) #divisors.sort(reverse=True) return divisors d = make_divisors(n) ans = 0 for a in d: if a == 1: continue else: q = n//a m = a-1 if 0 <= q <= m-1: ans += m print(ans)
n = int(eval(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) #divisors.sort(reverse=True) return divisors D = make_divisors(n) ans = 0 for d in D: m = d-1 q = n//d if m > 0 and 0 <= q < m: ans += m print(ans)
p03050
n=int(eval(input())) if n==2: print((0)) exit() ans=n-1 for i in range(int(n**0.5)+1,2,-1): # print(n//i+1) l,r=n//i+1,n//(i-1)+1 while l+1<r: mid=(l+r)//2 if n//mid<=n%mid: l=mid else: r=mid if n//l==n%l: ans+=l print(ans)
n=int(eval(input())) ans=0 for i in range(1,int(n**0.5)+1): if n%i==0: if i>1 and n//(i-1)==n%(i-1): ans+=i-1 if n//i!=i: if n//(n//i-1)==n%(n//i-1): ans+=n//i-1 print(ans)
p03050
def solve(N): s = 1 e = int(pow(N, 0.5)) + 1 ds = [] for i in range(s, e): if N % i == 0: m = (N // i) - 1 if m and N // m == N % m: ds.append(N // i) # print(f"{N} = {m} * {N // m} + {N % m}") return sum([i - 1 for i in ds]) assert (solve(8) == 3 + 7) assert (solve(10) == 4 + 9) assert (solve(1000000000000) == 2499686339916) if __name__ == "__main__": N = int(eval(input())) print((solve(N)))
def solve(N): s = 1 e = int(pow(N, 0.5)) + 1 ds = [] for i in range(s, e): if N % i == 0: m = (N // i) - 1 if m and N // m == N % m: ds.append(N // i) return sum([i - 1 for i in ds]) if __name__ == "__main__": N = int(eval(input())) print((solve(N)))
p03050
N = int(eval(input())) ans = 0 for r in range(1,N+1): if (N-r)%r != 0: continue else: m = (N-r)//r if m <= r: break else: ans += m print(ans)
N = int(eval(input())) ans = 0 for r in range(1,int(N**0.5)+2): if (N-r)%r != 0: continue else: m = (N-r)//r if m <= r: break else: ans += m print(ans)
p03050
n = int(eval(input())) ans = 0 i = 1 while i*(i+1)+i <= n: if (n-i) % i == 0: ans += (n-i)//i i += 1 print(ans)
n = int(eval(input())) divisors = set() for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.add(i) divisors.add(n//i) ans = 0 for d in divisors: m = d-1 if m != 0 and n//m == n % m: ans += m print(ans)
p03050
import math from collections import defaultdict from itertools import product from functools import reduce from operator import mul def is_prime(num): if not isinstance(num, int): return False if num <= 1: return False if num == 2 or num == 3: return True if num % 6 in [0, 2, 3, 4]: return False div_max = int(math.sqrt(num)) for div in range(5, div_max + 1, 2): if num % div == 0: return False return True def factorint(x): factors = defaultdict(int) while not is_prime(x): div_max = int(math.sqrt(x)) for div in range(2, div_max + 1): if x % div == 0: factors[div] += 1 x = int(x / div) break factors[x] += 1 return factors ans = 0 n = int(eval(input())) if n==0: print((0)) exit() rn = math.sqrt(n+1) + 1 factor_dict = factorint(n) ks = [list(range(k+1)) for k in list(factor_dict.values())] prs = product(*ks) for pr in prs: s = reduce(mul, [factor**p for factor,p in zip(list(factor_dict.keys()), pr)]) if s >= rn: ans += s -1 print(ans)
import math from collections import defaultdict from itertools import product from functools import reduce from operator import mul def is_prime(num): if not isinstance(num, int): return False if num <= 1: return False if num == 2 or num == 3: return True if num % 6 in [0, 2, 3, 4]: return False div_max = int(math.sqrt(num)) for div in range(5, div_max + 1, 2): if num % div == 0: return False return True def factorint(x): factors = defaultdict(int) if x==1: factors[1] = 1 return factors while not is_prime(x): div_max = int(math.sqrt(x)) for div in range(2, div_max + 1): if x % div == 0: factors[div] += 1 x = int(x / div) break factors[x] += 1 return factors ans = 0 n = int(eval(input())) rn = math.sqrt(n+1) + 1 factor_dict = factorint(n) ks = [list(range(k+1)) for k in list(factor_dict.values())] prs = product(*ks) for pr in prs: s = reduce(mul, [factor**p for factor,p in zip(list(factor_dict.keys()), pr)]) if s >= rn: ans += s -1 print(ans)
p03050
N=int(eval(input())) ans = 0 for r in range(1,int(N**(0.5))+10): if (N-r)%r==0: m = (N-r)//r if m!=0 and r == N//m: ans += m print(ans)
def get_divisor(n): a,b = [],[] for i in range(1,int(n**0.5)+1): if n%i==0: a.append(i) b.append(n//i) if a[-1]==b[-1]:b.pop() a.extend(b[::-1]) return a N = int(eval(input())) ans = 0 for m in get_divisor(N): m-=1 if m==0 : continue if N//m == N%m: ans+=m print(ans)
p03050
n=int(eval(input())) ans = 0 for i in range(1,int(n**0.5)+2): if n%i == 0 and n//i>=i+2: ans += (n//i)-1 print(ans)
def prime(p): memo = [p] for i in range(2,(int(p**0.5)+1)): if p%i == 0: memo.append(i) memo.append(p//i) return memo x = int(eval(input())) if x== 1: print((0)) exit() memo = prime(x) ans = 0 for i in memo: if x%(i-1)==x//(i-1): ans += i-1 print(ans)
p03050
n = int(eval(input())) result = 0 for i in range(1, int(n**(1/2)+1)): if n%i==0: x = n//i -1 if x > i: result += x print(result)
n = int(eval(input())) print((sum([n//i-1 for i in range(1, int(n**(1/2))+1) if (n%i==0) and (n//i-1 > i)])))
p03050
n = int(eval(input())) print((sum([n//i-1 for i in range(1, int(n**(1/2))+1) if n%i==0 and n//i-1>i])))
n=int(eval(input())) print((sum(n//i-1 for i in range(1, int(n**(1/2))+1) if n%i==0 and n//i-1>i)))
p03050
import math n = int(eval(input())) ans = 0 for i in range(1, int(-(-n**0.5//1))+1): if n%i == 0: m = n//i - 1 if i < m: ans += m print(ans)
n=int(eval(input())) ans = 0 for i in range(1,int(n**0.5)+1): if n%i == 0: # print('----',i) a = i x1 = n//i x = x1-1 # print(a,x) if a < x: ans += x a = n//i x1 = i x = x1 - 1 if a < x: ans += x print(ans)
p03050
from collections import defaultdict def prime_factorization(n): ''' Trial division. Input: n : a positive integer Output: a dictionary of #(each prime factors) of n, ''' result = defaultdict(int) if n < 2: return result while n % 2 == 0: result[2] += 1 n //= 2 p = 3 while p*p <= n: while n % p == 0: n //= p result[p] += 1 p += 2 if n > 1: result[n] += 1 return result N = int(eval(input())) ans = 0 if N >= 2: p = 1 while p*p <= N: q, r = divmod(N, p) if r == 0 and p < q - 1: ans += q - 1 p += 1 print(ans)
N = int(eval(input())) ans = 0 if N >= 2: p = 1 while p*p <= N: q, r = divmod(N, p) if r == 0 and p < q - 1: ans += q - 1 p += 1 print(ans)
p03050
N = int(eval(input())) ans = 0 if N <= 2: print((0)) exit() for i in range(1, 10**7): if (N - i) % i == 0: tmp = (N - i) // i if tmp > 1 and tmp > i: ans += tmp print(ans)
N = int(eval(input())) ans = 0 if N <= 2: print((0)) exit() for i in range(1, 10**6): if (N - i) % i == 0: tmp = (N - i) // i if tmp > 1 and tmp > i: ans += tmp print(ans)
p03050
N = int(eval(input())) result = 0 for i in range(1, int(N**0.5)+1): if (N - i) % i == 0 and i ** 2 + i < N: result += (N - i) // i print((int(result)))
import math N = int(eval(input())) result = 0 for i in range(1, math.ceil(((1+4*N)**0.5-1)/2)): if (N - i) % i == 0: result += (N - i) // i print((int(result)))
p03050
import math N = int(eval(input())) ans = 0 for i in range(1, int(math.sqrt(N)) + 1): if i > N / 2: continue tmp = int((N - i) / i) if (N - i) % i == 0 and N % tmp != 0 and tmp >= math.sqrt(N): ans += tmp print(ans)
N = int(eval(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 div = make_divisors(N) ans = 0 for d in div: if d != 1 and N // (d - 1) == N % (d - 1): ans += d - 1 print(ans)
p03050
N = int(eval(input())) ans = sum( (N - q) // q for q in range(1, int(N**0.5) + 1) if (N - q) % q == 0 and N // ((N - q) // q) == N % ((N - q) // q) ) if N >= 2 else 0 print(ans)
# 入力 N = int(eval(input())) # sqrt(N) + 1 より大きい N の約数dについて、 d - 1 がお気に入りの数か # 判定し、お気に入りの数であるものの和を解とする ans = sum( N // d - 1 for d in range(1, int(N**0.5) + 1) if N % d == 0 and N // d > 1 and (N // (N // d - 1)) == (N % (N // d - 1)) ) # 出力 print(ans)
p03050
import math N=int(eval(input())) a=int((math.sqrt(N)//1)) ans=0 if N==2: print((0)) exit() for i in range(1,a): b=(N-i)/i if b.is_integer(): ans+=int(b) c=N//a d=N%a if int(c)==d: ans+=a a+=1 c=N//a d=N%a if int(c)==d: ans+=a print(ans)
N=int(eval(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 A=make_divisors(N) ans=0 for i in A: if i==1: continue a=N//(i-1) b=N%(i-1) if a==b: ans+=(i-1) print(ans)
p03050
N = int(eval(input())) print((sum((N // n - 1) for n in range(1, int(N ** 0.5) + 1) if not N % n and n < N // n - 1)))
N = int(eval(input())) print((sum(N // n - 1 for n in range(1, int(N ** 0.5) + 1) if not N % n and n < N // n - 1)))
p03050
N = int(eval(input())) cnt = 0 for i in range(1,int(N**0.5)+1): if N%i==0: q = N//i m = i-1 if q<m: cnt += m m = N//i-1 q = i if q<m: cnt += m print(cnt)
N = int(eval(input())) A = [] for i in range(1,int(N**0.5)+1): if N%i==0: a = i b = N//i if a>b: a,b = b,a if 0<a<b-1: A.append(b-1) print((sum(A)))
p03050
N = int(eval(input())) A = [] for i in range(1,int(N**0.5)+1): if N%i==0: a = i b = N//i if a>b: a,b = b,a if 0<a<b-1: A.append(b-1) print((sum(A)))
N = int(eval(input())) cnt = 0 if N>2: for x in range(2,int(N**0.5)+1): if N%x==0: y = N//x if N//(x-1)==N%(x-1): cnt += x-1 if N//(y-1)==N%(y-1): cnt += y-1 cnt += N-1 print(cnt)
p03050
n = int(eval(input())) ###商及び余りをsとすると、n=m*s+s=s(m+1)、ただし0<s<m sum_fav = 0 for s in range(1,n): if n%s == 0: m = n//s-1 if s < m: #print(m) sum_fav += m else: break print(sum_fav)
import math n = int(eval(input())) ###商及び余りをsとすると、n=m*s+s=s(m+1)、ただし0<s<m sum_fav = 0 for s in range(1,int(math.sqrt(n))+1): if n%s == 0: m = n//s-1 if s < m: #print(m) sum_fav += m else: break print(sum_fav)
p03050
import math N = int(eval(input())) ms = [] def solve(N): result = 0 ms = [] for m in range(1, N): d, r = divmod(N, m) if d == r: result += m ms.append(m) return result, ms def solve1(N): s = 0 ms = [] for m in range(1, int(math.sqrt(N)+1)): d, r = divmod(N, m) if r == 0: if d < m-1: s += m - 1 ms.append(m-1) else: s += d - 1 ms.append(d-1) return s, ms s = 0 cs = set() for m in range(1, int(math.sqrt(N)+1)): q, r = divmod(N, m) if r != 0: continue cs.add(q-1) cs.add(m-1) def check(c): if c == 0: return 0 return c if N // c == N % c else 0 s = sum(check(c) for c in cs) print(s)
import math N = int(eval(input())) cs = set() for m in range(1, int(math.sqrt(N))+1): q, r = divmod(N, m) if r != 0: continue cs.add(q-1) cs.add(m-1) s = sum(c if N // c == N % c else 0 for c in cs if c > 0) print(s)
p03050
N = int(eval(input())) ans = 0 n = 1 while n*n < N: if (N-n)%n == 0: m = (N-n)//n if m <= n: break ans += m n += 1 print(ans)
N = int(eval(input())) m = 1 ans = 0 while m*m <= N: if (N-m)%m == 0: d = (N-m)//m if d <= m: break ans += d m += 1 print(ans)
p03050
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(reverse = True) return divisors N = int(eval(input())) div = make_divisors(N) i = 0 ans = 0 m = div[0] while m >= 1: q = N // m r = N % m if q == r: ans += m i += 1 m = div[i] else: m -= 1 print(ans)
N = int(eval(input())) ans = 0 div = [] # Nの約数を全列挙してdivとする for i in range(1, int(N ** 0.5) + 1): if N % i == 0: div.append(i) if i != N // i: div.append(N // i) for j in range(len(div)): if div[j] == 1: # m=0はskip pass else: m = div[j] - 1 if N // m == N % m: ans += m print(ans)
p03050