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# -*- coding: utf-8 -*- # AtCoder Beginner Contest # Problem C if __name__ == '__main__': n = int(eval(input())) dp = [0] + [100001 for _ in range(n + 1)] # See: # https://www.youtube.com/watch?v=I-8BnRkq6Ow for i in range(1, n + 1): power = 1 while power <= i: dp[i] = min(dp[i], dp[i - power] + 1) power *= 6 power = 1 while power <= i: dp[i] = min(dp[i], dp[i - power] + 1) power *= 9 print((dp[n]))
# -*- coding: utf-8 -*- def main(): n = int(eval(input())) dp = [float('inf') for _ in range(n + 100)] dp[0] = 0 for i in range(1, n + 1): dp[i] = min(dp[i - 1] + 1, dp[i]) six = 6 while six <= i: dp[i] = min(dp[i - six] + 1, dp[i]) six *= 6 nine = 9 while nine <= i: dp[i] = min(dp[i - nine] + 1, dp[i]) nine *= 9 print((dp[n])) if __name__ == '__main__': main()
p03329
N=int(eval(input())) dp=[float('inf') for i in range(100001)] dp[0]=0 for i in range(1,N+1): power=1 while(power<=i): dp[i]=min(dp[i],dp[i-power]+1) power*=6 power=1 while(power<=i): dp[i]=min(dp[i],dp[i-power]+1) power*=9 print((dp[N]))
N=int(eval(input())) dp=[float('inf') for i in range(N+1)] dp[0]=0 for i in range(1,N+1): power=1 while(power<=i): dp[i]=min(dp[i],dp[i-power]+1) power*=6 power=1 while(power<=i): dp[i]=min(dp[i],dp[i-power]+1) power*=9 print((dp[N]))
p03329
n = int(eval(input())) mn = 1e10 for i in range(n+1): ans = 0 a, b = i, n-i while a>=6: a, mo = divmod(a, 6) ans += mo ans += a while b>=9: b, mo = divmod(b, 9) ans += mo ans += b mn = min(mn, ans) print(mn)
def rec(n, x): d, m = divmod(n, x) if d: return m + rec(d, x) else: return m ans = n = int(eval(input())) for i in range(n+1): ans = min(ans, rec(i, 6)+rec(n-i, 9)) print(ans)
p03329
import sys sys.setrecursionlimit(10 ** 9) from functools import lru_cache def input(): return sys.stdin.readline().rstrip() def main(): N = int(eval(input())) yen = [6 ** i for i in range(1, 7)] yen += [9 ** i for i in range(1, 6)] yen = [i for i in yen if i <= N] yen.sort(reverse=True) def MIN(a, b): if a > b: return b else: return a @lru_cache(maxsize=None) def dfs(x, n, m): n += 1 for y in yen: if n >= m: return n if y > x: continue if x - y < 6: return n + x - y m = MIN(dfs(x - y, n, m), m) return m print((dfs(N, 0, N))) if __name__ == '__main__': main()
import sys def input(): return sys.stdin.readline().rstrip() def MIN(a, b): if a > b: return b else: return a def main(): N = int(eval(input())) yen6 = [6 ** i for i in range(1, 7) if 6 ** i <= N] yen9 = [9 ** i for i in range(1, 6) if 9 ** i <= N] if N < 6: print(N) exit() dp = [N] * (N + 1) for i in range(6): dp[i] = i for i in range(1, N + 1): for j in yen6: if i - j < 0: break dp[i] = MIN(dp[i], dp[i - j] + 1) for j in yen9: if i - j < 0: break dp[i] = MIN(dp[i], dp[i - j] + 1) print((dp[N])) if __name__ == '__main__': main()
p03329
import sys from math import log, floor n = int(sys.stdin.readline().rstrip()) def main(): cand = set() for i in range(floor(log(n, 6)) + 1): if 6 ** i <= n: cand.add(6 ** i) if 9 ** i <= n: cand.add(9 ** i) cand = sorted(cand) res = set([0]) cnt = 0 while True: nex = set() for val in res: for c in cand: if val + c <= n: nex.add(val + c) else: break cnt += 1 if n in nex: return cnt res = nex if __name__ == '__main__': ans = main() print(ans)
import sys n = int(sys.stdin.readline().rstrip()) def main(): bit6 = [0] * 8 bit9 = [0] * 7 b = n for i in range(5, -1, -1): q, r = divmod(b, 9 ** i) bit9[i] = q b = r res = sum(bit6) + sum(bit9) for _ in range(n): i = 0 while True: bit6[i] += 1 if bit6[i] == 6: bit6[i] = 0 i += 1 else: break i = 0 while True: bit9[i] -= 1 if bit9[i] == -1: bit9[i] = 8 i += 1 else: break res = min(res, sum(bit6) + sum(bit9)) return res if __name__ == '__main__': ans = main() print(ans)
p03329
import sys def count(n, b): res = 0 while n: n, r = divmod(n, b) res += r return res n = int(sys.stdin.readline().rstrip()) def main(): res = float('inf') for i in range(n + 1): res = min(res, count(i, 6) + count(n - i, 9)) print(res) if __name__ == '__main__': main()
import sys def count(n, b): res = 0 while n: res += n % b n //= b return res n = int(sys.stdin.readline().rstrip()) def main(): res = float('inf') for i in range(n + 1): res = min(res, count(i, 6) + count(n - i, 9)) print(res) if __name__ == '__main__': main()
p03329
#DP 動的計画法 N = int(eval(input())) INF = 10 ** 9 dp = [INF] * (N+1) #初期化配列 dp[0] = 0 for n in range(1, N+1): power = 1 while power <= N: dp[n] = min(dp[n], dp[n-power]+1) power *= 6 power = 1 while power <= N: dp[n] = min(dp[n], dp[n-power]+1) power *= 9 #print (dp) print((dp[N]))
N = int(eval(input())) INF = 10 ** 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(1, N + 1): dp[i] = dp[i - 1] + 1 tmp = 6 while i - tmp >= 0: dp[i] = min(dp[i], dp[i - tmp] + 1) tmp *= 6 tmp = 9 while i - tmp >= 0: dp[i] = min(dp[i], dp[i - tmp] + 1) tmp *= 9 # print (dp) print((dp[N]))
p03329
# coding:utf-8 n = int(input().rstrip()) dic = [None for i in range(n + 1)] def get_ans(amount:int): if dic[amount] is not None: return dic[amount] if amount <= 0: return 0 ans = amount for i in reversed(list(range(6))): num = pow(9, i) if num > amount: continue ret = get_ans(amount - num) + 1 ans = min(ans, ret) for i in reversed(list(range(7))): num = pow(6, i) if num > amount: continue ret = get_ans(amount - num) + 1 ans = min(ans, ret) dic[amount] = ans return ans print((get_ans(n)))
# coding: utf-8 def get_pow(target: int, base: int): ans = 0 current = base for i in range(1, target + 1): if current > target: break ans = i current *= base return ans dic = {} def get_ans(remain: int): if remain in dic: return dic[remain] if remain < 6: return max(0, remain) ans = remain pos9 = get_pow(remain, 9) for i in reversed(list(range(1, pos9 + 1))): ret = get_ans(remain - pow(9, i)) + 1 ans = min(ans, ret) pow6 = get_pow(remain, 6) for i in reversed(list(range(1, pow6 + 1))): ret = get_ans(remain - pow(6, i)) + 1 ans = min(ans, ret) dic[remain] = ans return ans n = int(input().rstrip()) print((get_ans(n)))
p03329
n = int(eval(input())) ark = float("INF") for l in range(2): # 59049 abc = (n - (59049*l)) if abc < 0: break for k in range(3): # 46656 abc = (n - (46656 * k+59049*l)) if abc < 0: break for j in range(6): # 7776 abc = (n - (776 * j + 46656 * k+59049*l)) if abc < 0: break for h in range(4): # 1296,6 abc = (n - (1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for g in range(6): # 729,9 abc = (n - (729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for f in range(4):#216,5(4) abc = (n - (216 * f+ 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for e in range(4): # 81 abc = (n - (81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for d in range(5): # 36 abc = (n - (36 * d + 81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for c in range(4): # 9 abc = (n - (9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for b in range(3): # 6 abc = (n - (6 * b + 9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for a in range(6): # 1 abc = (n - (1*a+6*b+9*c+36*d+81*e+216*f+729*g+1296*h+7776*j+46656*k+59049*l)) if abc < 0: break if abc % 6561 == 0 and abc >= 0: i = abc//6561 if ark > a+b+c+d+e+f+g+h+i+j+k+l: ark = a+b+c+d+e+f+g+h+i+j+k+l print(ark)
n = int(eval(input())) ark = float("INF") if n < 50000: for l in range(2): # 59049 abc = (n - (59049*l)) if abc < 0: break for k in range(3): # 46656 abc = (n - (46656 * k+59049*l)) if abc < 0: break for j in range(6): # 7776 abc = (n - (776 * j + 46656 * k+59049*l)) if abc < 0: break for h in range(4): # 1296,6 abc = (n - (1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for g in range(6): # 729,9 abc = (n - (729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for f in range(4):#216,5(4) abc = (n - (216 * f+ 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for e in range(4): # 81 abc = (n - (81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for d in range(5): # 36 abc = (n - (36 * d + 81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for c in range(4): # 9 abc = (n - (9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for b in range(3): # 6 abc = (n - (6 * b + 9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for a in range(6): # 1 abc = (n - (1*a+6*b+9*c+36*d+81*e+216*f+729*g+1296*h+7776*j+46656*k+59049*l)) if abc < 0: break if abc % 6561 == 0 and abc >= 0: i = abc//6561 if ark > a+b+c+d+e+f+g+h+i+j+k+l: ark = a+b+c+d+e+f+g+h+i+j+k+l else: for l in range(2): # 59049 abc = (n - (59049*l)) if abc < 0: break for k in range(3): # 46656 abc = (n - (46656 * k+59049*l)) if abc < 0: break for j in range(6): # 7776 abc = (n - (776 * j + 46656 * k+59049*l)) if abc < 0: break for h in range(3): # 1296,6 abc = (n - (1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for g in range(4): # 729,9 abc = (n - (729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for f in range(3):#216,5(4) abc = (n - (216 * f+ 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for e in range(4): # 81 abc = (n - (81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for d in range(5): # 36 abc = (n - (36 * d + 81 * e + 216 * f + 729 * g + 1296 * h+ 7776 * j + 46656 * k+59049*l)) if abc < 0: break for c in range(4): # 9 abc = (n - (9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for b in range(3): # 6 abc = (n - (6 * b + 9 * c + 36 * d + 81 * e + 216 * f + 729 * g + 1296 * h + 7776 * j + 46656 * k+59049*l)) if abc < 0: break for a in range(6): # 1 abc = (n - (1*a+6*b+9*c+36*d+81*e+216*f+729*g+1296*h+7776*j+46656*k+59049*l)) if abc < 0: break if abc % 6561 == 0 and abc >= 0: i = abc//6561 if ark > a+b+c+d+e+f+g+h+i+j+k+l: ark = a+b+c+d+e+f+g+h+i+j+k+l print(ark)
p03329
N = int(eval(input())) INF = float('inf') dp = [INF] * (N+10) dp[0] = 0 coin6 = [6**n for n in range(1,10) if 6**n <= N] coin9 = [9**n for n in range(1,10) if 9**n <= N] for i in range(N): dp[i+1] = min(dp[i+1], dp[i]+1) for j in coin6: if j+i <= N: dp[i+j]=min(dp[i+j],dp[i]+1) for j in coin9: if j+i <= N: dp[i+j]=min(dp[i+j],dp[i]+1) print((dp[N]))
N = int(eval(input())) INF = float('inf') dp = [INF] * (N+10) dp[0] = 0 coin6 = [6**n for n in range(1,10) if 6**n <= N] coin9 = [9**n for n in range(1,10) if 9**n <= N] for i in range(N+1): dp[i] = min(dp[i], dp[i-1]+1) for j in coin6: if i-j >= 0: dp[i]=min(dp[i],dp[i-j]+1) for j in coin9: if i+j >= 0: dp[i]=min(dp[i],dp[i-j]+1) print((dp[N]))
p03329
n = int(eval(input())) dp = [i for i in range(n+1)] # dp table 最初は全て1円で払う for j in range(1, n+1): power = 1 while power <= j: dp[j] = min(dp[j], dp[j - power] + 1) power *= 6 power = 1 while power <= j: dp[j] = min(dp[j], dp[j - power] + 1) power *= 9 print((dp[n]))
n = int(eval(input())) dp = [i for i in range(n + 1)] for i in range(1, n+1): pow = 6 while i - pow > -1: dp[i] = min(dp[i], dp[i - pow] + 1) pow *= 6 pow = 9 while i - pow > -1: dp[i] = min(dp[i], dp[i - pow] + 1) pow *= 9 # print(dp) print((dp[n]))
p03329
n = int(eval(input())) dp = [float("inf")]*(n+1) dp[0] = 0 for i in range(n): j = 0 while i+6**j <= n: dp[i+6**j] = min(dp[i+6**j],dp[i]+1) j += 1 k = 0 while i+9**k <= n: dp[i+9**k] = min(dp[i+9**k],dp[i]+1) k += 1 print((dp[n]))
n = int(eval(input())) dp = [10**9+7]*(n+1) dp[0] = 0 for i in range(1,n+1): dp[i] = dp[i-1] + 1 j = 6 while i-j >= 0: dp[i] = min(dp[i], dp[i-j]+1) j *= 6 k = 9 while i-k >= 0: dp[i] = min(dp[i], dp[i-k]+1) k *= 9 print((dp[n]))
p03329
n = int(eval(input())) dp = [float('inf')] * (n + 1) dp[0] = 0 for i in range(n): dp[i + 1] = min(dp[i + 1], dp[i] + 1) for j in range(n): if i + 6 ** (j + 1) <= n: dp[i + 6 ** (j + 1)] = min(dp[i + 6 ** (j + 1)], dp[i] + 1) else: break for k in range(n): if i + 9 ** (k + 1) <= n: dp[i + 9 ** (k + 1)] = min(dp[i + 9 ** (k + 1)], dp[i] + 1) else: break print((dp[n]))
n = int(eval(input())) dp = [float('inf')] * (n + 1) dp[0] = 0 for i in range(n): dp[i + 1] = min(dp[i + 1], dp[i] + 1) for j in range(n): if i + 6 ** (j + 1) <= n: dp[i + 6 ** (j + 1)] = min(dp[i + 6 ** (j + 1)], dp[i] + 1) else: break for k in range(n): if i + 9 ** (k + 1) <= n: dp[i + 9 ** (k + 1)] = min(dp[i + 9 ** (k + 1)], dp[i] + 1) else: break print((dp[n]))
p03329
N=int(eval(input())) M=[0]*(N+1) M[1]=1 for i in range(2,N+1): L=[M[i-1]+1] j=0 while i-6**j>=0: L.append(M[i-6**j]+1) j+=1 j=0 while i-9**j>=0: L.append(M[i-9**j]+1) j+=1 M[i]=min(L) #print(M) print((M[N]))
N = int(eval(input())) pattern = [1, 6, 36, 216, 1296, 7776, 46656, 9, 81, 729, 6561, 59049] INF = 10**6 dp = [INF] * (N+1) dp[0] = 0 for i in range(N+1): for p in pattern: if i + p <= N: dp[i+p] = min(dp[i+p], dp[i]+1) print((dp[N]))
p03329
N = int(eval(input())) A = [] for i in range(1, N+1): if 6**i > N: break else: A.append(6**i) if 9**i <= N: A.append(9**i) A.sort(reverse=True) money = [i for i in range(N+1)] for i in A: for j in range(i,N+1): money[j] = min(money[j], money[j-i]+1) print((money[N]))
n = int(eval(input())) ans = float('INF') hand = [] tmp = 1 while tmp * 6 <= n: tmp *= 6 hand.append(tmp) tmp = 1 while tmp * 9 <= n: tmp *= 9 hand.append(tmp) hand.sort() hand = hand[::-1] dp = [i for i in range(n+1)] for v in hand: for i in range(n+1-v): if dp[i] + 1 < dp[i+v]: dp[i+v] = dp[i] + 1 print((dp[n]))
p03329
def main(): N = int(eval(input())) withdraws = [] for i in range(N): if N < 9**i: break withdraws.append(9**i) for i in range(1, N): if N < 6**i: break withdraws.append(6**i) withdraws.sort(reverse=True) W = len(withdraws) dp = [[10**9 for i in range(N + 1)] for j in range(W + 1)] dp[0][0] = 0 for i in range(1, W+1): for n in range(N + 1): if n - withdraws[i-1] >= 0: dp[i][n] = min(dp[i-1][n], dp[i][n], dp[i][n - withdraws[i-1]] + 1) else: dp[i][n] = min(dp[i-1][n], dp[i][n]) print((dp[W][N])) if __name__ == '__main__': main()
def main(): N = int(eval(input())) withdraws = [] for i in range(N): if N < 9**i: break withdraws.append(9**i) for i in range(1, N): if N < 6**i: break withdraws.append(6**i) withdraws.sort(reverse=True) W = len(withdraws) dp = [[10**9 for i in range(N + 1)] for j in range(W + 1)] dp[0][0] = 0 for i in range(1, W+1): for n in range(N + 1): if n - withdraws[i-1] >= 0: dp[i][n] = min(dp[i-1][n], dp[i][n - withdraws[i-1]] + 1) else: dp[i][n] = dp[i-1][n] print((dp[W][N])) if __name__ == '__main__': main()
p03329
import sys from collections import deque # q = deque(); q.append(x); q.appendleft(x); q.pop() -> x; q.popleft() -> x from collections import defaultdict # d = defaultdict(lambda: []); d[key] -> [] import heapq # hq = []; heapq.heappush(hq, x); heapq.heappop(hq) -> x; heapq.heappushpop(hq, x) -> x import bisect # i = bisect.bisect_left([1,2,3,4], 1.5); i = bisect.bisect_right([4,3,2,1], 1.5) #import numpy as np #from scipy.misc import comb s2nn = lambda s: [int(c) for c in s.split(' ')] ss2nn = lambda ss: [int(s) for s in ss] ss2nnn = lambda ss: [s2nn(s) for s in ss] i2s = lambda: sys.stdin.readline().rstrip() i2n = lambda: int(i2s()) i2nn = lambda: s2nn(i2s()) ii2ss = lambda n: [sys.stdin.readline().rstrip() for _ in range(n)] ii2nn = lambda n: ss2nn(ii2ss(n)) ii2nnn = lambda n: ss2nnn(ii2ss(n)) # BFS方法 def main(): N = i2n() coins = [1] d = 6 while d <= N: coins.append(d) d *= 6 d = 9 while d <= N: coins.append(d) d *= 9 q = deque() q.append((0, 0)) s = set((0,)) while len(q) > 0: i, n = q.popleft() for j in coins: k = i + j if k == N: print((n+1)) return if k > N: continue if k in s: continue q.append((k, n+1)) s.add(k) print((-1)) main()
import sys from collections import deque # q = deque(); q.append(x); q.appendleft(x); q.pop() -> x; q.popleft() -> x from collections import defaultdict # d = defaultdict(lambda: []); d[key] -> [] import heapq # hq = []; heapq.heappush(hq, x); heapq.heappop(hq) -> x; heapq.heappushpop(hq, x) -> x import bisect # i = bisect.bisect_left([1,2,3,4], 1.5); i = bisect.bisect_right([4,3,2,1], 1.5) #import numpy as np #from scipy.misc import comb s2nn = lambda s: [int(c) for c in s.split(' ')] ss2nn = lambda ss: [int(s) for s in ss] ss2nnn = lambda ss: [s2nn(s) for s in ss] i2s = lambda: sys.stdin.readline().rstrip() i2n = lambda: int(i2s()) i2nn = lambda: s2nn(i2s()) ii2ss = lambda n: [sys.stdin.readline().rstrip() for _ in range(n)] ii2nn = lambda n: ss2nn(ii2ss(n)) ii2nnn = lambda n: ss2nnn(ii2ss(n)) # BFS方法 def main(): N = i2n() coins = [1] d = 6 while d <= N: coins.append(d) d *= 6 d = 9 while d <= N: coins.append(d) d *= 9 q = deque() q.append((0, 0)) s = set((0,)) while q: i, n = q.popleft() for j in coins: k = i + j if k == N: print((n+1)) return if k > N: continue if k in s: continue q.append((k, n+1)) s.add(k) print((-1)) main()
p03329
N = int(eval(input())) dp = [float('inf')]*(N+1) dp[0] = 0 for i in range(N+1): if i+1 <= N: dp[i+1] = min(dp[i+1],dp[i]+1) for j in range(1,N+1): if i + 6**j > N: break dp[i+6**j] = min(dp[i+6**j],dp[i]+1) for k in range(1,N+1): if i + 9**k > N: break dp[i+9**k] = min(dp[i+9**k],dp[i]+1) print((dp[N]))
N = int(eval(input())) dp = [float('inf')]*(N+1) dp[0] = 0 for i in range(N+1): if i >= 1: dp[i] = min(dp[i-1]+1,dp[i]) for j in range(1,N+1): if i < 6**j: break dp[i] = min(dp[i-6**j]+1,dp[i]) for k in range(1,N+1): if i < 9**k: break dp[i] = min(dp[i-9**k]+1,dp[i]) print((dp[N]))
p03329
from itertools import count n = int(eval(input())) dp = [0]*(n+1) def it(n): yield 1 m = 6 while m <= n: yield m m *= 6 m = 9 while m <= n: yield m m *= 9 for i in range(1,n+1): dp[i] = min(dp[i-t] for t in it(i))+1 print((dp[n]))
def it(n,p): while n > 0: yield n%p n //= p cost = lambda *a: sum(it(*a)) n = int(eval(input())) print((min(cost(x,6)+cost(n-x,9) for x in range(n+1))))
p03329
def fx(n): if n == 0: return 0 if n == 1: return 1 arr = [] cnt = 0 if n < 6: b = fx(n-1)+1 arr.append(b) while n-6**cnt >= 0: cnt += 1 if cnt > 1: x = n-(6**(cnt-1)) b = fx(x)+1 arr.append(b) cnt = 0 while n-9**cnt >= 0: cnt += 1 if cnt > 1: x = n-(9**(cnt-1)) b = fx(x)+1 arr.append(b) return min(arr) N = int(eval(input())) print((fx(N)))
from functools import lru_cache @lru_cache(maxsize=1000000) def fx(n): if n == 0: return 0 if n == 1: return 1 arr = [] cnt = 0 if n < 6: b = fx(n-1)+1 arr.append(b) while n-6**cnt >= 0: cnt += 1 if cnt > 1: x = n-(6**(cnt-1)) b = fx(x)+1 arr.append(b) cnt = 0 while n-9**cnt >= 0: cnt += 1 if cnt > 1: x = n-(9**(cnt-1)) b = fx(x)+1 arr.append(b) return min(arr) N = int(eval(input())) print((fx(N)))
p03329
N = int(eval(input())) t = list(range(N+1)) for i in range(2, N+1): x = t[i-1] + 1 p6, p9 = 6, 9 while i-p6 >= 0: x = min(x, t[i-p6] + 1) p6 *= 6 while i-p9 >= 0: x = min(x, t[i-p9] + 1) p9 *= 9 t[i] = x print((t[N]))
N=int(eval(input()));t=[0]+[N]*N for i in range(1,N+1): x,a,b=t[i-1],6,9 while a<=i:x=min(x,t[i-a],t[i-b]if b<=i else N);a*=6;b*=9 t[i]=x+1 print((t[N]))
p03329
# 貰うDP n = int(eval(input())) a = [1] i = 6 while i <= n: a.append(i) i *= 6 i = 9 while i <= n: a.append(i) i *= 9 t = [float("inf")] * (n + 1) t[0] = 0 for i in range(1, n + 1): k = float("inf") for j in a: if i - j >= 0 and k > t[i - j] + 1: k = t[i - j] + 1 t[i] = k print((t[n]))
# 貰うDP n = int(eval(input())) a = [1] i = 6 while i <= n: a.append(i) i *= 6 i = 9 while i <= n: a.append(i) i *= 9 t = [0] * (n + 1) for i in range(1, n + 1): k = float("inf") for j in a: if i - j >= 0 and k > t[i - j] + 1: k = t[i - j] + 1 t[i] = k print((t[n]))
p03329
# 貰うDP n = int(eval(input())) a = [1] i = 6 while i <= n: a.append(i) i *= 6 i = 9 while i <= n: a.append(i) i *= 9 t = [0] * (n + 1) for i in range(1, n + 1): k = float("inf") for j in a: if i - j >= 0 and k > t[i - j] + 1: k = t[i - j] + 1 t[i] = k print((t[n]))
# 貰うDP INF = float('inf') n = int(eval(input())) a = [1] i = 6 while i <= n: a.append(i) i *= 6 i = 9 while i <= n: a.append(i) i *= 9 t = [0] * (n + 1) for i in range(1, n + 1): k = INF for j in a: if i - j >= 0 and k > t[i - j] + 1: k = t[i - j] + 1 t[i] = k print((t[n]))
p03329
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): for j in c: if i + j <= N: dp[i + j] = min(dp[i + j], dp[i] + 1) if i + j == N: break print((dp[N]))
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): for j in c: t = i + j if t <= N and dp[t] > dp[i] + 1: dp[t] = dp[i] + 1 if t == N: break print((dp[N]))
p03329
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): for j in c: t = i + j if t <= N and dp[t] > dp[i] + 1: dp[t] = dp[i] + 1 if t == N: break print((dp[N]))
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): t0 = dp[i] for j in c: t1 = i + j if t1 <= N and dp[t1] > t0 + 1: dp[t1] = t0 + 1 if t1 == N: break print((dp[N]))
p03329
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): t0 = dp[i] + 1 for j in c: t1 = i + j if t1 <= N and dp[t1] > t0: dp[t1] = t0 if t1 == N: break print((dp[N]))
# DP(配るDP) INF = float('inf') N = int(eval(input())) c = [1] t = 6 while t <= N: c.append(t) t *= 6 t = 9 while t <= N: c.append(t) t *= 9 dp = [INF] * (N + 1) dp[0] = 0 for i in range(N): t0 = dp[i] + 1 for j in c: t1 = i + j if t1 <= N and dp[t1] > t0: dp[t1] = t0 print((dp[N]))
p03329
n=int(eval(input())) dp=[100001 for i in range(n+1)] dp[0]=0 for i in range(1,n+1): p=1 while p<=i: dp[i]=min(dp[i],dp[i-p]+1) p*=6 q=1 while q<=i: dp[i]=min(dp[i],dp[i-q]+1) q*=9 print((dp[n]))
n=int(eval(input())) ans=10**100 for t in range(n+1): p=t q=n-p c=0 while p>0: c+=p%6 p=p//6 while q>0: c+=q%9 q=q//9 ans=min(ans,c) print(ans)
p03329
sixexp=[6**i for i in range(1,7)] nineexp=[9**i for i in range(1,6)] lis=[1]+sixexp+nineexp n=int(eval(input())) dp=[1000000 for i in range (n+1)] dp[0]=0 for i in range(n): for j in lis: if i+j<=n: dp[i+j]=min(dp[i+j],dp[i]+1) print((dp[n]))
sixexp=[6**i for i in range(1,7)] nineexp=[9**i for i in range(1,6)] lis=[1]+sixexp+nineexp n=int(eval(input())) dp=[1000000 for i in range (n+1)] dp[0]=0 for i in range(1,n+1): for j in lis: if i-j>=0: dp[i]=min(dp[i],dp[i-j]+1) print((dp[n]))
p03329
import bisect as bi li6 = [6 ** i for i in range(7)] li9 = [9 ** i for i in range(6)] def s69(n): if n < 6: return n else: s6 = li6[bi.bisect(li6, n)-1] s9 = li9[bi.bisect(li9, n)-1] return min(n // s6 + s69(n % s6), 1 + s69(n-s9), n // s9 + s69(n % s9)) print((s69(int(eval(input())))))
import bisect as bi li6 = [6 ** i for i in range(7)] li9 = [9 ** i for i in range(6)] def s69(n): if n < 6: return n else: s6 = li6[bi.bisect(li6, n)-1] s9 = li9[bi.bisect(li9, n)-1] return min(n // s6 + s69(n % s6), 1 + s69(n-s9)) print((s69(int(eval(input())))))
p03329
n = int(eval(input())) max_n = 100000 dp = [10000 for i in range(max_n+1)] dp[0] = 0 for i in range(n+1): k = 1 while i + k <= n: dp[i+k] = min(dp[i+k],dp[i]+1) k *=6 k = 1 while i + k <= n: dp[i+k] = min(dp[i+k],dp[i]+1) k*=9 print((dp[n]))
from collections import deque n = int(eval(input())) max_n = 100000 dp = [10000 for i in range(max_n+1)] dp[0] = 0 que = deque() que.append(0) while len(que) > 0: v = que.popleft() k = 1 while v + k <= n: if dp[v+k] == 10000: dp[v+k]=dp[v]+1 que.append(v+k) k *= 6 k = 1 while v + k <= n: if dp[v+k] == 10000: dp[v+k]=dp[v]+1 que.append(v+k) k *= 9 print((dp[n]))
p03329
n=int(eval(input())) ls=set([1]) i=1 while 6**i<=100000: ls.add(6**i) i+=1 i=1 while 9**i<=100000: ls.add(9**i) i+=1 dp = [float("inf") for i in range(n+2)] dp[0] = 0 ls=list(ls) #円の総合計 for i in range(n+2): #額面のコインの種類 for j in range(len(ls)): if i+ls[j]<=n: dp[i+ls[j]] = min(dp[i]+1, dp[i+ls[j]-1]+1,dp[i+ls[j]]) print((dp[n]))
n=int(eval(input())) ls=[1] for i in range(1,7): ls.append(6**i) ls.append(9**i) dp = [float('inf') for i in range(n+2)] dp[0] = 0 #円の総合計 for i in range(1,n+1): for j in ls: if i-j>=0: dp[i] = min(dp[i-1]+1, dp[i-j]+1,dp[i]) else: dp[i] = min(dp[i-1]+1,dp[i]) print((dp[n]))
p03329
N = int(eval(input())) dp = [N] * (N+1) dp[0] = 0 for i in range(1, N+1): pow6 = [] pow9 = [] for j in range(i): if 6**j > i: break pow6.append(6**j) for k in range(i): if 9**k > i: break pow9.append(9**k) L = set(pow6 + pow9) for l in L: if i-l < 0: break dp[i] = min(dp[i], dp[i-l]+1) print((dp[N]))
N = int(eval(input())) INF = 10**9 dp = [INF]*(N+1) dp[0] = 0 num6 = [6**i for i in range(1, 10)] num9 = [9**i for i in range(1, 7)] S = sorted([1] + num6 + num9) for i in range(1, N+1): tmp = INF for j in S: if j > i: break else: dp[i] = min(tmp, dp[i-j]+1) tmp = dp[i] print((dp[N]))
p03329
N = int(eval(input())) INF = 10**9 dp = [INF]*(N+1) dp[0] = 0 num6 = [6**i for i in range(1, 10)] num9 = [9**i for i in range(1, 7)] S = sorted([1] + num6 + num9) for i in range(1, N+1): tmp = INF for j in S: if j > i: break else: dp[i] = min(tmp, dp[i-j]+1) tmp = dp[i] print((dp[N]))
N = int(eval(input())) INF = 10**9 dp = [INF]*(N+1) dp[0] = 0 num6 = [6**i for i in range(1, 10)] num9 = [9**i for i in range(1, 7)] S = sorted([1] + num6 + num9) for i in range(1, N+1): for j in S: if j > i: break else: dp[i] = min(dp[i], dp[i-j]+1) print((dp[N]))
p03329
N = int(eval(input())) x = N for i in range(N + 1): count = 0 t = i while t > 0: count += int(t % 9) t = int(t / 9) t = N - i while t > 0 : count += int(t % 6) t = int(t / 6) if x > count: x = count print(x)
N = int(eval(input())) ans = N for i in range(N + 1): count = 0 t = i while t > 0: count += int(t % 9) t = int(t / 9) t = N - i while t > 0: count += int(t % 6) t = int(t / 6) if count < ans: ans = count print(ans)
p03329
N = int(eval(input())) def f(n): if n<6: return n i,j = 0,0 a,b = n,n while a >= 6: i += 1 a //= 6 while b >= 9: j += 1 b //= 9 return min(1+f(n-6**i),1+f(n-9**j)) print((f(N)))
N = int(eval(input())) memo = {i:i for i in range(6)} def f(n): tmp = memo.get(n,None) if tmp != None: return tmp i,j = 0,0 a,b = n,n while a >= 6: i += 1 a //= 6 while b >= 9: j += 1 b //= 9 ret = min(1+f(n-6**i),1+f(n-9**j)) memo[n] = ret return ret print((f(N)))
p03329
N = int(eval(input())) dp = [float('inf') for _ in range(N + 1)] dp[N] = 0 for i in range(N, -1, -1) : if i - 1 >= 0 : dp[i - 1] = min(dp[i - 1], dp[i] + 1) dis = 6 while i - dis >= 0 : dp[i - dis] = min(dp[i - dis], dp[i] + 1) dis *= 6 dis = 9 while i - dis >= 0 : dp[i - dis] = min(dp[i - dis], dp[i] + 1) dis *= 9 print((dp[0]))
N = int(eval(input())) dp = [10**18] * (N + 1) dp[0] = 0 for i in range(N): prd = 6 while i + prd <= N: dp[i + prd] = min(dp[i + prd], dp[i] + 1) prd *= 6 prd = 9 while i + prd <= N: dp[i + prd] = min(dp[i + prd], dp[i] + 1) prd *= 9 ans = 10**18 for i, c in enumerate(dp): ans = min(ans, N - i + c) print(ans)
p03329
N = int(eval(input())) dp = [10**18] * (N + 1) dp[0] = 0 for i in range(N): prd = 6 while i + prd <= N: dp[i + prd] = min(dp[i + prd], dp[i] + 1) prd *= 6 prd = 9 while i + prd <= N: dp[i + prd] = min(dp[i + prd], dp[i] + 1) prd *= 9 ans = 10**18 for i, c in enumerate(dp): ans = min(ans, N - i + c) print(ans)
N = int(eval(input())) def digit(x, base): if x == 0: return 0 return digit(x // base, base) + x % base def calc(six, nine): return digit(six, 6) + digit(nine, 9) ans = 10**18 for six in range(N + 1): ans = min(ans, calc(six, N - six)) print(ans)
p03329
l=[100000 for i in range(100001)] l[0]=0 dif=[1,6,9,36,81,216,729,1296,6561,7776,46656,59049] for i in range(1,100001): for j in dif: if j>i: break l[i]=min(l[i],l[i-j]+1) n=int(eval(input())) print((l[n]))
dp=[100000 for i in range(100001)] dp[0]=0 l=[1] i=6 while i<=100000: l.append(i) i*=6 i=9 while i<=100000: l.append(i) i*=9 for i in range(1,100001): for j in l: if j<=i and dp[i-j]+1<dp[i]: dp[i]=dp[i-j]+1 print((dp[int(eval(input()))]))
p03329
def nsin(X,n): if(int(X/n)): return nsin(int(X/n),n)+str(X%n) return str(X) N = int(eval(input())) score = N for i in range(N+1): score = min(score,sum(map(int,nsin(i,6)+nsin(N-i,9)))) print(score)
N = int(eval(input())) score = N for i in range(N+1): count = 0 t = i while(t): count += t%6 t//=6 t = N-i while(t): count += t%9 t//=9 score = min(count,score) print(score)
p03329
N = int(eval(input())) dp = [10 ** 6] * (N + 1) dp[0] = 0 for i in range(N+1): p = 1 while p <= N: dp[i] = min(dp[i], dp[i-p] + 1) p *= 6 p = 1 while p <= N: dp[i] = min(dp[i], dp[i-p] + 1) p *= 9 print((dp[N]))
N = int(eval(input())) dp = [10 ** 6] * (N + 1) dp[0] = 0 for i in range(N+1): p = 1 while p <= i: dp[i] = min(dp[i], dp[i-p] + 1) p *= 6 p = 1 while p <= i: dp[i] = min(dp[i], dp[i-p] + 1) p *= 9 print((dp[N]))
p03329
six=[6**i for i in range(1,7)][::-1] nine=[9**i for i in range(1,6)][::-1] N=int(eval(input())) ans=[] def find(n,a): if n<6: ans.append(n+a) for s in six: if s<=n: find(n-s,a+1) break for s in nine: if s<=n: find(n-s,a+1) break find(N,0) print((min(ans)))
six=[6**i for i in range(1,7)][::-1] nine=[9**i for i in range(1,6)][::-1] N=int(eval(input())) ans=[] def find(n,a): if n<6: ans.append(n+a) return for s in six: if s<=n: find(n-s,a+1) break for s in nine: if s<=n: find(n-s,a+1) break find(N,0) print((min(ans)))
p03329
N=int(eval(input())) weights=[1] pow6=6 while N>=pow6: weights.append(pow6) pow6*=6 pow9=9 while N>=pow9: weights.append(pow9) pow9*=9 dp=[1<<28]*(N+1) dp[0]=0 for i in range(len(weights)): for j in range(weights[i],N+1): dp[j]=min(dp[j],dp[j-weights[i]]+1) print((dp[N]))
N=int(eval(input())) res=N for i in range(N+1): cc=0 tmp=i while tmp>0: cc+=tmp%6 tmp=tmp//6 tmp=N-i while tmp>0: cc+=tmp%9 tmp=tmp//9 res=min(res,cc) print(res)
p03329
import sys imput=sys.stdin.readline n=int(eval(input())) dp=[float('inf')]*(n+1) dp[1]=1 i=0 while 9**i<=n: dp[9**i]=1 i+=1 j=0 while 6**j<=n: dp[6**j]=1 j+=1 #print(dp[1],dp[9],dp[36],dp[127]) for i in range(2,n+1): for j in range(1,8): if i-6**j>=1 and i-9**j>=1: dp[i]=min(dp[i],min(dp[i-1],dp[i-6**j],dp[i-9**j])+1) elif i-6**j>=1: dp[i]=min(dp[i],min(dp[i-1],dp[i-6**j])+1) else: dp[i]=min(dp[i],dp[i-1]+1) #print(dp) #int(dp[1],dp[9],dp[36],dp[127]) print((dp[n]))
n=int(eval(input())) dp=[float('inf')]*(n+1) dp[1]=1 i=0 while 9**i<=n: dp[9**i]=1 i+=1 j=0 while 6**j<=n: dp[6**j]=1 j+=1 for i in range(2,n+1): for j in range(1,8): if i-6**j>=1 and i-9**j>=1: dp[i]=min(dp[i],min(dp[i-1],dp[i-6**j],dp[i-9**j])+1) elif i-6**j>=1: dp[i]=min(dp[i],min(dp[i-1],dp[i-6**j])+1) else: dp[i]=min(dp[i],dp[i-1]+1) print((dp[n]))
p03329
N = int(eval(input())) def drawal(x): if(x <= 5): return x else: def drawal9(y): i = 0 while 9** (i+ 1)<= y: i+= 1 return drawal(y- 9** i)+ 1 def drawal6(z): i = 0 while 6** (i+ 1)<= z: i+= 1 return drawal(z- 6** i)+ 1 return min(drawal9(x), drawal6(x)) print((drawal(N)))
N = int(eval(input())) def drawal(x): if(x <= 5): return x elif(6<= x and x < 9): return x- 5 elif(9<= x and x < 15): return x- 8 else: def drawal9(y): i = 0 while 9** (i+ 1)<= y: i+= 1 return drawal(y- 9** i)+ 1 def drawal6(z): i = 0 while 6** (i+ 1)<= z: i+= 1 return drawal(z- 6** i)+ 1 return min(drawal9(x), drawal6(x)) print((drawal(N)))
p03329
N = int(eval(input())) h = [1] t = [] i = 1 while True: t.append(6**i) i += 1 if t[-1]>10000: break h.extend(t) t = [] i = 1 while True: t.append(9**i) i += 1 if t[-1]>10000: break h.extend(t) h.sort() DP = [] DP.append((0, 0)) hlen = len(h) for i in range(1,N+1): m = 999999 p = 0 for j in range(hlen): if i-h[j]<0: break else: if m>DP[i-h[j]][0] + 1: m = DP[i-h[j]][0] + 1 p = h[j] + DP[i-h[j]][0] DP.append((m, p)) print((DP[N][0]))
N = int(eval(input())) h = [1] t = [] i = 1 while True: t.append(6**i) i += 1 if t[-1]>10000: break h.extend(t) t = [] i = 1 while True: t.append(9**i) i += 1 if t[-1]>10000: break h.extend(t) h.sort() DP = [] DP.append(0) hlen = len(h) for i in range(1,N+1): m = 999999 for j in range(hlen): if i-h[j]<0: break else: if m>DP[i-h[j]] + 1: m = DP[i-h[j]] + 1 DP.append(m) print((DP[N]))
p03329
import sys input = sys.stdin.readline def main(): N = int(eval(input())) ind = [1] tmp = 6 while tmp <= N: ind.append(tmp) tmp *= 6 tmp = 9 while tmp <= N: ind.append(tmp) tmp *= 9 ind = sorted(ind) INF = int(1e9) dp = [INF] * (N+1) dp[0] = 0 for i in range(1, N+1): for t in ind: if i - t >= 0: dp[i] = min(dp[i], dp[i-t]+1) else: break # print(dp[:20]) print((dp[N])) if __name__ == "__main__": main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) ans = N for i in range(N+1):# 6^pで何円引き出すか count = 0 tmp = i while tmp > 0: count += tmp % 6 tmp //= 6 tmp = N - i while tmp > 0: count += tmp % 9 tmp //= 9 ans = min(ans, count) print(ans) if __name__ == "__main__": main()
p03329
n = int(eval(input())) L = [1] for i in range(1, 6): L.append(pow(9, i)) for i in range(1, 7): L.append(pow(6, i)) L = sorted(L) dp = [float("inf") for _ in range(n + 1)] dp[0] = 0 for i in range(1, n + 1): for l in L: if i - l >= 0: dp[i] = min(dp[i], dp[i - l] + 1) print((dp[n]))
import sys sys.setrecursionlimit(10 ** 7) f_inf = float('inf') mod = 10 ** 9 + 7 def resolve(): n = int(eval(input())) List = [1] for i in range(1, 7): List.append(pow(6, i)) List.append(pow(9, i)) List.sort() dp = [f_inf for _ in range(n + 1)] dp[0] = 0 for i in range(1, n + 1): for L in List: if i - L >= 0: dp[i] = min(dp[i], dp[i - L] + 1) print((dp[n])) if __name__ == '__main__': resolve()
p03329
n = int(eval(input())) dp = [200000] * (n+10) dp[0] = 0 # dp[1] = 1 for i in range(n): dp[i+1] = min(dp[i+1], dp[i]+1) six = 6 while i + six <= n: dp[i+six] = min(dp[i+six], dp[i]+1) six *= 6 nine = 9 while i + nine <= n: dp[i+nine] = min(dp[i+nine], dp[i]+1) nine *= 9 print((dp[n]))
n = int(eval(input())) dp = [200000] * (n+10) dp[0] = 0 for i in range(1,n+1): dp[i] = min(dp[i-1]+1, dp[i]) six = 6 while i - six >= 0: dp[i] = min(dp[i-six]+1, dp[i]) six *= 6 nine = 9 while i - nine >= 0: dp[i] = min(dp[i-nine]+1, dp[i]) nine *= 9 print((dp[n]))
p03329
N = int(eval(input())) INF = N dp = [0, 1, 2, 3, 4, 5] + [INF for _ in range(N-5)] for amount in range(6, N+1): dp[amount] = amount unit = 6 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 6 unit = 9 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 9 print((dp[N]))
N = int(eval(input())) dp = list(range(N+1)) for amount in range(6, N+1): unit = 6 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 6 unit = 9 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 9 print((dp[N]))
p03329
N = int(eval(input())) dp = list(range(N+1)) for amount in range(6, N+1): unit = 6 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 6 unit = 9 while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= 9 print((dp[N]))
N = int(eval(input())) dp = list(range(N+1)) def calc(unit_base): unit = unit_base while unit <= amount: dp[amount] = min(dp[amount], dp[amount-unit]+1) unit *= unit_base for amount in range(6, N+1): calc(6) calc(9) print((dp[N]))
p03329
N=int(eval(input())) ans=N for i in range(N+1): cnt=0 t=i while t>0: cnt+=t%6 t//=6 j=N-i while j>0: cnt+=j%9 j//=9 ans=min(ans,cnt) print(ans)
N=int(eval(input())) dp=[0]*(100000+1) a=1 b=6 c=9 for i in range(1,N+1): if i>=b*6: b*=6 if i>=c*9: c*=9 if i<6: dp[i]=i elif i<9: dp[i]=min(dp[i-a]+1,dp[i-b]+1) else: dp[i]=min([dp[i-a]+1,dp[i-b]+1,dp[i-c]+1]) print((dp[N]))
p03329
N = int(eval(input())) B6 = [6**i for i in range(1,7)] B9 = [9**i for i in range(1,6)] L = B6 + B9 L = sorted(list(set(L))) dp = [int(i) for i in range(N+1)] for i in L: for j in range(1, N+1): if j - i >= 0: dp[j] = min(dp[j], dp[j-i] + 1) print((dp[N]))
N = int(eval(input())) dp = [int(i) for i in range(N+1)] B6 = [6**i for i in range(1,7)] B9 = [9**i for i in range(1,6)] L = B6 + B9 L = sorted(list(set(L))) for i in L: for j in range(1, N+1): if j - i >= 0: dp[j] = min(dp[j], dp[j-i] + 1) print((dp[N]))
p03329
n=int(eval(input())) l6=[] l9=[] num6=6 num9=9 while num6<=n: l6.append(num6) num6*=6 while num9<=n: l9.append(num9) num9*=9 count=[0,1,2,3,4,5,1,2,3,1,2,3] for i in range(12,n+1): min=100000 for j in l6: if i-j<0: pass else: if min>count[i-j]+1: min=count[i-j]+1 for j in l9: if i-j<0: pass else: if min>count[i-j]+1: min=count[i-j]+1 count.append(min) print((count[n]))
n=int(eval(input())) num6=6 num9=9 l=[] while num6<=n: l.append(num6) num6*=6 while num9<=n: l.append(num9) num9*=9 count=[0,1,2,3,4,5,1,2,3,1,2,3] for i in range(12,n+1): min=100000 for j in l: if i-j<0: pass else: if min>count[i-j]+1: min=count[i-j]+1 count.append(min) print((count[n]))
p03329
coin = [1, 6,6**2,6**3,6**4,6**5,6**6, 9,9**2,9**3,9**4,9**5] n = int(eval(input())) inf = 10**9 dp = [inf]*(n+1) dp[0] = 0 for c in coin: for yen in range(c, n+1): dp[yen] = min(dp[yen], dp[yen-c] + 1) print((dp[n]))
n = int(eval(input())) dp = list(i for i in range(n+1)) def f(yen, p): c = p while yen >= c: dp[yen] = min(dp[yen], dp[yen-c] + 1) c *= p for yen in range(6, n+1): f(yen, 6) f(yen, 9) print((dp[n]))
p03329
n = int(eval(input())) dp = list(i for i in range(n+1)) def f(yen, p): c = p while yen >= c: dp[yen] = min(dp[yen], dp[yen-c] + 1) c *= p for yen in range(6, n+1): f(yen, 6) f(yen, 9) print((dp[n]))
def f(yen, coin, cnt=0): while yen > 0: cnt += yen % coin; yen //= coin return cnt ans = n = int(eval(input())) for yen6 in range(0, n+1): ans = min(ans, f(n-yen6, 9, f(yen6, 6))) print(ans)
p03329
N = int(eval(input())) list6 = [6**x for x in range(0,7) ] list9 = [9**x for x in range(0,6) ] def f(x): if x < 6: return x else: max6 = max(y for y in list6 if y <= x) max9 = max(y for y in list9 if y <= x) x6 = x - max6 x9 = x - max9 return min(f(x6)+ 1,f(x9)+ 1) print((f(N)))
N = int(eval(input())) list6 = [6**x for x in range(0,7) ] list9 = [9**x for x in range(0,6) ] result = {} def f(x): if x < 6: return x elif x in result: return result[x] else: max6 = max(y for y in list6 if y <= x) max9 = max(y for y in list9 if y <= x) x6 = x - max6 x9 = x - max9 result[x] = min(f(x6)+ 1,f(x9)+ 1) return result[x] print((f(N)))
p03329
# -*- coding: utf-8 -*- def count(val1, val2): num = 1 while True: if val1 < (val2 ** num): res = 0 if num > 1: res = val2 ** (num-1) break num += 1 return res N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 while True: num = count(n, 9) if num == 0: break n -= num res += 1 while True: num = count(m, 6) if num == 0: break m -= num res += 1 res += n + m ans = min(ans, res) print(ans)
# -*- coding: utf-8 -*- def count(val1, val2): num = 1 while True: if val1 < (val2 ** num): break num += 1 cnt = 0 digit = num while True: if val1 >= val2 ** digit: val1 -= val2 ** digit cnt += 1 else: digit -= 1 if digit== 0: break return cnt,val1 N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 cnt, nn = count(n, 9) n = nn res += cnt cnt, mm = count(m, 6) m = mm res += cnt res += n + m ans = min(ans, res) print(ans)
p03329
# -*- coding: utf-8 -*- def count(val1, val2): num = 1 while True: if val1 < (val2 ** num): break num += 1 cnt = 0 digit = num while True: if val1 >= val2 ** digit: val1 -= val2 ** digit cnt += 1 else: digit -= 1 if digit== 0: break return cnt,val1 N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 cnt, nn = count(n, 9) n = nn res += cnt cnt, mm = count(m, 6) m = mm res += cnt res += n + m ans = min(ans, res) print(ans)
# -*- coding: utf-8 -*- N = int(eval(input())) ans = N for i in range(N+1): n = i m = N - i res = 0 nine = 1 while nine*9 <= n: nine *= 9 while nine != 1: res += n // nine n %= nine nine /= 9 res += n six = 1 while six*6 <= m: six *= 6 while six != 1: res += m // six m %= six six /= 6 res += m ans = min(ans, int(res)) print(ans)
p03329
# -*- coding: utf-8 -*- def count(val1, val2): digit = 1 while val1 >= (val2 ** digit): digit += 1 res = 0 while digit!=0: cnt = int(val1 // val2 ** digit) val1 -= (val2 ** digit)*cnt res += cnt digit -= 1 return res,val1 N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 cnt, nn = count(n, 9) n = nn res += cnt cnt, mm = count(m, 6) m = mm res += cnt res += n + m ans = min(ans, res) print(ans)
# -*- coding: utf-8 -*- def count(val1, val2): digit = 1 while digit*val2 <= val1: digit *= val2 res = 0 while digit!=1: cnt = int(val1 // digit) val1 -= digit*cnt res += cnt digit /= val2 return res,val1 N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 cnt, nn = count(n, 9) n = nn res += cnt cnt, mm = count(m, 6) m = mm res += cnt res += n + m ans = min(ans, int(res)) print(ans)
p03329
# -*- coding: utf-8 -*- def count(val1, val2): digit = 1 while digit*val2 <= val1: digit *= val2 res = 0 while digit!=1: cnt = int(val1 // digit) val1 -= digit*cnt res += cnt digit /= val2 return res,val1 N = int(eval(input())) ans = N for i in range(0,N+1): n = i m = N - i res = 0 cnt, nn = count(n, 9) n = nn res += cnt cnt, mm = count(m, 6) m = mm res += cnt res += n + m ans = min(ans, int(res)) print(ans)
# -*- coding: utf-8 -*- import sys sys.setrecursionlimit(100000) # RecursionError対策 def func(n): if n==0: return 0 # 終端条件 if memo[n] != -1: return memo[n] # 探索済み res = n for i in range(1,n+1): pow6 = 6 ** i if pow6 > n: break res = min(res, func(n-pow6)+1) for i in range(1,n+1): pow9 = 9 ** i if pow9 > n: break res = min(res, func(n-pow9)+1) memo[n] = res return res N = int(eval(input())) max_n = 110000 memo = [-1] * max_n ans = func(N) print(ans)
p03329
N = int(eval(input())) n6 = 1 n9 = 1 li = [] while 9**n9 <= N: li.append(9**n9) n9 += 1 while 6**n6 <= N: li.append(6**n6) n6 += 1 li.sort() INF = 10**10 # 1円の場合はね dp = [[i for i in range(N+1)] for i in range(len(li) + 1)] dp = [i for i in range(N+1)] for i,l in enumerate(li): for j in range(N+1): if j+l > N : continue dp[j+l] = min(dp[j+l], dp[j]+1) print((dp[N]))
N = int(eval(input())) array = [] cnt6 = 0 while 6**cnt6 <= N: array.append(6**cnt6) cnt6 += 1 cnt9 = 0 while 9**cnt9 <= N: array.append(9**cnt9) cnt9 += 1 a = sorted(list(set(array))) # 最小 dp = [i for i in range(N+1)] # print(a) n = 6 for n in a: for i in range(N+1): if i+n <= N: dp[i+n] = min(dp[i]+1, dp[i+n]) print((dp[N]))
p03329
n = int(eval(input())) v = [1,6,36,216,1296,7776,46656,9,81,729,6561,59049] dp = [float("inf") for i in range(n+1)] dp[0] = 0 for i in range(n): for j in v: if i + j <= n: dp[i+j] = min(dp[i+j], dp[i]+1) print(("{}".format(dp[n])))
def ds(a, b): return a if a<b else ds(a//b,b)+a%b ans = float('inf') n = int(eval(input())) for i in range(n+1): ans = min(ans,ds(i,6)+ds(n-i,9)) print(ans)
p03329
def ds(a, b): return a if a<b else ds(a//b,b)+a%b ans = float('inf') n = int(eval(input())) for i in range(n+1): ans = min(ans,ds(i,6)+ds(n-i,9)) print(ans)
def ds(a, b): return a if a<b else ds(a//b,b)+a%b n = int(eval(input())) print((min([ds(i,6)+ds(n-i,9) for i in range(n+1)])))
p03329
N = int(eval(input())) dp = [1e10]*(N+1) dp[0] = 0 for i in range(1,N+1): power = 1 while power <= i: dp[i] = min(dp[i], dp[i-power]+1) power *= 6 power = 1 while power<=i: dp[i] = min(dp[i], dp[i-power]+1) power *= 9 print((dp[N]))
N = int(eval(input())) ans = N for i in range(N+1): cnt = 0 t = i while t>0: cnt+=t%6 t//=6 j=N-i while j>0: cnt+=j%9 j//=9 ans = min(ans,cnt) print(ans)
p03329
def main(): n=int(eval(input())) mon6=[6] mon9=[1] for i in range(5): mon6.append(6*mon6[i]) mon9.append(9*mon9[i]) mon=mon6+mon9 mon.sort() inf=10**9 dp=[[inf]*(n+1) for i in range(13)] for i in range(13): dp[i][0]=0 for i in range(12): for j in range(1,n+1): if j-mon[i]>=0: dp[i+1][j]=min(dp[i+1][j-mon[i]]+1,dp[i][j]) else: dp[i+1][j]=dp[i][j] print((dp[-1][-1])) if __name__=='__main__': main()
import sys sys.setrecursionlimit(10000000) MOD = 10 ** 9 + 7 INF = 10 ** 15 def main(): N = int(eval(input())) money = [1] for i in range(10): money.append(money[-1]*6) money.append(9) for i in range(9): money.append(money[-1]*9) dp = [INF] * (1 + N) dp[0] = 0 for m in money: for j in range(m,N + 1): dp[j] = min(dp[j],dp[j - m] + 1) ans = dp[-1] print(ans) if __name__ == '__main__': main()
p03329
n = int(eval(input())) dp = [float('inf')] * 100010 dp[0] = 0 for i in range(1, 100000 + 1): power = 1 while (power <= i): dp[i] = min(dp[i], dp[i - power] + 1) power *= 6 power = 1 while (power <= i): dp[i] = min(dp[i], dp[i - power] + 1) power *= 9 print((dp[n]))
def funcDP(n): dp = [float('inf')] * (n + 10) dp[0] = 0 for i in range(1, n + 1): for base in [6, 9]: powered = 1 while powered <= i: dp[i] = min(dp[i], dp[i - powered] + 1) powered *= base return dp[n] if __name__ == '__main__': print((funcDP(int(eval(input())))))
p03329
def funcDP(n): dp = [float('inf')] * (n + 10) dp[0] = 0 for i in range(1, n + 1): for base in [6, 9]: powered = 1 while powered <= i: dp[i] = min(dp[i], dp[i - powered] + 1) powered *= base return dp[n] if __name__ == '__main__': print((funcDP(int(eval(input())))))
def main(): inf = 1 << 30 N = int(eval(input())) dp = [inf] * (N + 1) dp[0] = 0 for i in range(1, N + 1): t = inf x = 1 while x <= i: t = min(t, dp[i - x]) x *= 6 x = 1 while x <= i: t = min(t, dp[i - x]) x *= 9 dp[i] = t + 1 print((dp[N])) if __name__ == '__main__': main()
p03329
from math import log N = int(eval(input())) hiki9 = [] hiki6 = [] n = int(log(N) / log(9) + 1) # log9の計算に誤差があるので一つ多めに取っておく for i in range(n+1): hiki9.append(9**i) n = int(log(N) / log(6) + 1) for i in range(n+1): hiki6.append(6**i) hiki9.sort(reverse=True) hiki6.sort(reverse=True) x = [] for i in range(N+1): n9 = i tmpx = 0 for h in hiki9: while h <= n9: n9 -= h tmpx += 1 n6 = N - i for h in hiki6: while h <= n6: n6 -= h tmpx += 1 x.append(tmpx) x.sort() print((x[0]))
N = int(eval(input())) koho = [1] i=1 while True: if i > 1e6: break i *= 6 koho.append(i) i=1 while True: if i > 1e6: break i *= 9 koho.append(i) dp = [0] * (N+1) for i in range(1, N+1): tmp = [] for k in koho: if k > i: continue tmp.append(dp[i - k] + 1) dp[i] = min(tmp) print((dp[N]))
p03329
n=int(eval(input())) n9=9**5 n6=6**6 k9=5+1 k6=6+1 n9=9**k9 smin=n for i9 in range(n9): ii9=i9 s=0 m=0 astr="" for ii in range(1,k9+1): r9=ii9%9 ii9=(ii9-r9)//9 s=s*9+r9 m=m+r9 astr=astr+str(r9) # print("i9",i9,"astr",astr,"s",s,"m",m) nr=n-s nr1=nr # print("nr",nr,"m",m) if nr==0: snra=m # print(nr,m) elif nr>0: snra=m for jj in range(k6,-1,-1): nra=nr1//(6**jj) nr1=nr1%(6**jj) snra=snra+nra # print("jj",jj,"nra",nra,"nr1",nr1) if smin>snra: smin=snra print(smin)
n=int(eval(input())) k9=5 k6=6 n9=9**k9 smin=n for i9 in range(n9): ii9=i9 s=0 m=0 astr="" for ii in range(1,k9+2): r9=ii9%9 ii9=(ii9-r9)//9 s=s*9+r9 m=m+r9 astr=astr+str(r9) # print("i9",i9,"astr",astr,"s",s,"m",m) nr=n-s nr1=nr # print("nr",nr,"m",m) if nr==0: snra=m # print(nr,m) elif nr>0: snra=m for jj in range(k6,-1,-1): nra=nr1//(6**jj) nr1=nr1%(6**jj) snra=snra+nra # print("jj",jj,"nra",nra,"nr1",nr1) if smin>snra: smin=snra print(smin)
p03329
n=int(eval(input())) k9=5 k6=6 n9=9**k9 smin=n for i9 in range(n9): ii9=i9 s=0 m=0 astr="" for ii in range(1,k9+2): r9=ii9%9 ii9=(ii9-r9)//9 s=s*9+r9 m=m+r9 astr=astr+str(r9) # print("i9",i9,"astr",astr,"s",s,"m",m) nr=n-s nr1=nr # print("nr",nr,"m",m) if nr==0: snra=m # print(nr,m) elif nr>0: snra=m for jj in range(k6,-1,-1): nra=nr1//(6**jj) nr1=nr1%(6**jj) snra=snra+nra # print("jj",jj,"nra",nra,"nr1",nr1) if smin>snra: smin=snra print(smin)
n=int(eval(input())) res=n for i in range(n+1): cc=0 t=i while t>0: cc=cc+t%6 t=t//6 t=n-i while t>0: cc=cc+t%9 t=t//9 if res>cc: res=cc print(res)
p03329
import itertools,sys def I(): return int(sys.stdin.readline().rstrip()) N = I() if N<=5: print(N) exit() dp = [float('INF')]*(N+1) dp[0] = 0 num6,num9 = 6,9 d6d9 = set() while num6<=N: d6d9.add(num6) num6 *= 6 while num9<=N: d6d9.add(num9) num9 *= 9 for i,x in itertools.product(list(range(N+1)),d6d9): if i+x>=N+1: continue dp[i+1] = min(dp[i+1],dp[i]+1) dp[i+x] = min(dp[i+x],dp[i]+1) print((dp[-1]))
import itertools,sys def I(): return int(sys.stdin.readline().rstrip()) N = I() dp = [float('INF')]*(N+1) dp[0] = 0 for i in range(N+1): if i+1<=N: dp[i+1] = min(dp[i+1],dp[i]+1) num6,num9 = 6,9 while i+num6<=N: dp[i+num6] = min(dp[i+num6],dp[i]+1) num6 *= 6 while i+num9<=N: dp[i+num9] = min(dp[i+num9],dp[i]+1) num9 *=9 print((dp[-1]))
p03329
import sys def I(): return int(sys.stdin.readline().rstrip()) N = I() dp = [float('INF')]*(N+1) #1_indexed dp[0] = 0 for i in range(N+1): if i+1<=N: dp[i+1] = min(dp[i+1],dp[i+1],dp[i]+1) num6,num9 = 6,9 while i+num6<=N: dp[i+num6] = min(dp[i+num6],dp[i]+1) num6 *= 6 while i+num9<=N: dp[i+num9] = min(dp[i+num9],dp[i]+1) num9 *= 9 print((dp[-1]))
import sys def I(): return int(sys.stdin.readline().rstrip()) N = I() dp = [float('INF')]*(N+1) #1_indexed dp[0] = 0 for i in range(N+1): if i-1>=0: dp[i] = min(dp[i],dp[i-1]+1) num6,num9 = 6,9 while i-num6>=0: dp[i] = min(dp[i],dp[i-num6]+1) num6 *= 6 while i-num9>=0: dp[i] = min(dp[i],dp[i-num9]+1) num9 *= 9 print((dp[-1]))
p03329
#!usr/bin/env python3 from collections import defaultdict from collections import deque from heapq import heappush, heappop import sys import math import bisect import random def LI(): return list(map(int, sys.stdin.readline().split())) def I(): return int(sys.stdin.readline()) def LS():return list(map(list, sys.stdin.readline().split())) def S(): return list(sys.stdin.readline())[:-1] def IR(n): l = [None for i in range(n)] for i in range(n):l[i] = I() return l def LIR(n): l = [None for i in range(n)] for i in range(n):l[i] = LI() return l def SR(n): l = [None for i in range(n)] for i in range(n):l[i] = S() return l def LSR(n): l = [None for i in range(n)] for i in range(n):l[i] = SR() return l mod = 1000000007 #A def A(): return #B def B(): return #C def C(): n = I() ans = float("inf") for i in range(n+1): m = 0 k = i while k > 0: m += k%6 k //= 6 k = n-i while k > 0: m += k%9 k //= 9 ans = min(ans,m) print(ans) #D def D(): return #E def E(): return #F def F(): return #G def G(): return #H def H(): return #Solve if __name__ == "__main__": C()
#!usr/bin/env python3 from collections import defaultdict from collections import deque from heapq import heappush, heappop import sys import math import bisect import random def LI(): return list(map(int, sys.stdin.readline().split())) def I(): return int(sys.stdin.readline()) def LS():return list(map(list, sys.stdin.readline().split())) def S(): return list(sys.stdin.readline())[:-1] def IR(n): l = [None for i in range(n)] for i in range(n):l[i] = I() return l def LIR(n): l = [None for i in range(n)] for i in range(n):l[i] = LI() return l def SR(n): l = [None for i in range(n)] for i in range(n):l[i] = S() return l def LSR(n): l = [None for i in range(n)] for i in range(n):l[i] = LS() return l sys.setrecursionlimit(1000000) mod = 1000000007 #A def A(): n = I() ans = float("inf") for i in range(n+1): m = 0 k = i while k > 0: m += k%6 k //= 6 k = n-i while k > 0: m += k%9 k //= 9 if m < ans: ans = m print(ans) return #B def B(): return #C def C(): return #D def D(): return #E def E(): return #F def F(): return #G def G(): return #H def H(): return #I def I_(): return #J def J(): return #Solve if __name__ == "__main__": A()
p03329
# -*- coding: utf-8 -*- N = int(eval(input())) # 解説動画通りにDPしてみる dp = [0] * 100001 # dp[0] = 0 for n in range(1, 100001): dp[n] = float("inf") power = 1 while power <= n: dp[n] = min(dp[n], dp[n-power] + 1) power *= 6 power = 1 while power <= n: dp[n] = min(dp[n], dp[n-power] + 1) power *= 9 print((dp[N]))
# -*- coding: utf-8 -*- N = int(eval(input())) # ちょっと自分でいじった版 dp = [0] * (N+1) for n in range(1, N+1): dp[n] = float("inf") power = 1 while power <= n: dp[n] = min(dp[n], dp[n-power] + 1) power *= 6 power = 1 while power <= n: dp[n] = min(dp[n], dp[n-power] + 1) power *= 9 print((dp[N]))
p03329
# -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 N = INT() # dp[i] := i円引き出すのに必要な最小回数 dp = [INF] * (N+1) dp[0] = 0 for i in range(N): # 3種類の引き出し方に対応する遷移をする dp[i+1] = min(dp[i+1], dp[i] + 1) j = 1 while i+6**j <= N: dp[i+6**j] = min(dp[i+6**j], dp[i] + 1) j += 1 j = 1 while i+9**j <= N: dp[i+9**j] = min(dp[i+9**j], dp[i] + 1) j += 1 print((dp[N]))
# -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 N = INT() # dp[i] := i円引き出すのに必要な最小回数 dp = [INF] * (N+1) dp[0] = 0 for i in range(N): # 3種類の引き出し方に対応する遷移をする dp[i+1] = min(dp[i+1], dp[i] + 1) j = 6 while i+j <= N: dp[i+j] = min(dp[i+j], dp[i] + 1) j *= 6 j = 9 while i+j <= N: dp[i+j] = min(dp[i+j], dp[i] + 1) j *= 9 print((dp[N]))
p03329
from itertools import count, takewhile def dfs(n): if n < 6: return n max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) return min(dfs(n-max9), dfs(n-max6))+1 print((dfs(int(eval(input())))))
from itertools import count, takewhile def dfs(n, d={}): if n < 6: return n if n in d: return d[n] max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) d[n] = min(dfs(n-max9), dfs(n-max6))+1 return d[n] print((dfs(int(eval(input())))))
p03329
from itertools import count, takewhile from functools import lru_cache @lru_cache(maxsize=None) def dfs(n): if n == 0: return 0 max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) return min(dfs(n-max9), dfs(n-max6))+1 print((dfs(int(eval(input())))))
from itertools import count, takewhile, dropwhile def dfs(n, max9, max6, d={0:0}): if n in d: return d[n] max9 = next(dropwhile(lambda x: x>n, (max9 / 9**i for i in count()))) max6 = next(dropwhile(lambda x: x>n, (max6 / 6**i for i in count()))) d[n] = min(dfs(n-max9, max9, max6), dfs(n-max6, max9, max6)) + 1 return d[n] n = int(eval(input())) max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) print((dfs(n, max9, max6)))
p03329
import sys six = [6,36,216,1296,7776,46656] nine = [9,81,729,6561,59049] def dfs(n): if n < 6: return n six_max, nine_max = (1, 1) for i in six: if n < i: break six_max = i for i in nine: if n < i: break nine_max = i ans = 123 if nine_max != 1: ans = dfs(n - nine_max) + 1 if six_max != 1: ans = min(ans, dfs(n - six_max) + 1) return ans print((dfs(int(eval(input())))))
def dfs(n): if n < 6: return n elif n < 9: return 1 + dfs(n - 6) six_max = 1 nine_max = 1 while six_max * 6 <= n: six_max *= 6 while nine_max * 9 <= n: nine_max *= 9 return min(dfs(n - nine_max), dfs(n - six_max)) + 1 print((dfs(int(eval(input())))))
p03329
n = int(eval(input())) INF = float("inf") dp = [INF]*100010 dp[0] = 0 pow6 = [6**i for i in range(7)] pow9 = [9**i for i in range(6)] for i in range(1,n+1): for p6 in pow6: dp[i] = min(dp[i],dp[i-p6]+1) for p9 in pow9: dp[i] = min(dp[i],dp[i-p9]+1) print((dp[n]))
n = int(eval(input())) INF = float("inf") dp = [INF]*100010 dp[0] = 0 pow6 = [6**i for i in range(1,7)] pow9 = [9**i for i in range(1,6)] for i in range(1,n+1): dp[i] = dp[i-1] + 1 for p6 in pow6: dp[i] = min(dp[i],dp[i-p6]+1) for p9 in pow9: dp[i] = min(dp[i],dp[i-p9]+1) print((dp[n]))
p03329
n = int(eval(input())) INF = float("inf") dp = [INF]*100010 dp[0] = 0 pow6 = [6**i for i in range(1,7)] pow9 = [9**i for i in range(1,6)] for i in range(1,n+1): dp[i] = dp[i-1] + 1 for p6 in pow6: dp[i] = min(dp[i],dp[i-p6]+1) for p9 in pow9: dp[i] = min(dp[i],dp[i-p9]+1) print((dp[n]))
n = int(eval(input())) dp = [n]*100010 dp[0] = 0 pow69 = [6**i for i in range(1,7)] + [9**i for i in range(1,6)] for i in range(1,n+1): dp[i] = dp[i-1] + 1 for p in pow69: dp[i] = min(dp[i],dp[i-p]+1) print((dp[n]))
p03329
import math N = int(eval(input())) # A = [int(x) for x in input().split()] C = [1] for i in range(math.ceil(math.log(N,9)) + 3): if i !=0 : C.append(9 ** i) for i in range(math.ceil(math.log(N,6)) + 3): if i != 0: C.append(6 ** i) INF = 10**10 dp = [INF] * (N+1) dp[0] = 0 for i in range(1,N+1): for c in C: if i - c >= 0: dp[i] = min(dp[i], dp[i - c] + 1) print((dp[N]))
import math N = int(eval(input())) # A = [int(x) for x in input().split()] C = [1] for i in range(math.floor(math.log(N,9)) + 2): if i !=0 : C.append(9 ** i) for i in range(math.floor(math.log(N,6)) + 2): if i != 0: C.append(6 ** i) INF = 10**10 dp = [INF] * (N+1) dp[0] = 0 for i in range(1,N+1): for c in C: if i - c >= 0: dp[i] = min(dp[i], dp[i - c] + 1) print((dp[N]))
p03329
#!/usr/bin/env python # -*- coding: utf-8 -*- def ret_ans(n): li = [1] li.extend([6 ** i for i in range(0, 15) if 6 ** i <= n]) li.extend([9 ** i for i in range(1, 15) if 9 ** i <= n]) li.sort(reverse=True) s = set([n]) cnt = 1 while True: ts = set(s) for e in li: for c in s: if c - e == 0: return cnt if c - e > 0: ts.add(c - e) s = ts cnt += 1 def solve(): print((ret_ans(int(eval(input()))))) if __name__=="__main__": solve()
#!/usr/bin/env python # -*- coding: utf-8 -*- def ret_ans(n): li = [1] li.extend([6 ** i for i in range(1, 15) if 6 ** i <= n]) li.extend([9 ** i for i in range(1, 15) if 9 ** i <= n]) li.sort(reverse=True) s = set([n]) cnt = 1 while True: ts = set(s) for e in li: for c in s: if c - e == 0: return cnt if c - e > 0: ts.add(c - e) s = ts cnt += 1 def solve(): print((ret_ans(int(eval(input()))))) if __name__=="__main__": solve()
p03329
N=int(eval(input())) inf=100000 dp=[inf for _ in range(N+1)] dp[0]=0 for n in range(1,N+1): num=100000 i=0 j=0 while 9**(i+1)<=n: i+=1 while 6**(j+1)<=n: j+=1 for k in range(i+1): num=min(num,dp[n-9**k]+1) for k in range(j+1): num=min(num,dp[n-6**k]+1) dp[n]=min(dp[n],num) print((dp[N]))
def main3(): import sys sys.setrecursionlimit(100000000) N=int(eval(input())) dp=[-1 for n in range(N+1)] dp[0]=0 dp[1]=1 def rec(x,dp): if x==1: return dp[1] elif x==0: return dp[0] else: l=[] i=0 j=0 while 9**(i+1)<=x: i+=1 while 6**(j+1)<=x: j+=1 for k in reversed(list(range(i+1))): tmp=x-9**k if dp[tmp]!=-1: l.append(dp[tmp]+1) else: l.append(rec(tmp,dp)+1) for k in reversed(list(range(j+1))): tmp=x-6**k if dp[tmp]!=-1: l.append(dp[tmp]+1) else: l.append(rec(tmp,dp)+1) dp[x]=min(l) return dp[x] return rec(N,dp) if __name__=="__main__": print((main3()))
p03329
n = int(eval(input())) dp = [float("Inf")]*(n+1) dp[0] = 0 for i in range(n): for j in range(1,6): if i + j > n: break dp[i+j] = min(dp[i+j], dp[i] + j) for j in range(1,n//6+1): if i + 6**j > n: break dp[i+6**j] = min(dp[i+6**j], dp[i] + 1) for j in range(1,n//9+1): if i + 9**j > n: break dp[i+9**j] = min(dp[i+9**j], dp[i] + 1) print((dp[-1]))
n = int(eval(input())) dp = [float("Inf")]*(n+1) for i in range(min(6, n+1)): dp[i] = i for i in range(n): for j in range(1,n//6+1): if i + 6**j > n: break dp[i+6**j] = min(dp[i+6**j], dp[i] + 1) for j in range(1,n//9+1): if i + 9**j > n: break dp[i+9**j] = min(dp[i+9**j], dp[i] + 1) print((dp[-1]))
p03329
N = int(eval(input())) l = [1] + [6 ** x for x in range(1, 7)] + [9 ** x for x in range(1, 6)] l.sort() INF = 10 ** 3 dp = [0] + [INF] * N for n in range(1, N + 1): #for f in [1, 6, 9, 6 ** 2, 9 ** 2, 6 ** 3, 9 ** 3]: for f in l: if 0 <= n - f: dp[n] = min([dp[n], dp[n - f] + 1]) #print(dp) print((dp[-1]))
N = int(eval(input())) l = [1] + [6 ** x for x in range(1, 7)] + [9 ** x for x in range(1, 6)] l.sort() INF = 10 ** 3 dp = [0] * (N + 1) for n in range(1, N + 1): dp[n] = min([dp[n - f] + 1 if 0 <= n - f else INF for f in l]) #print(dp) print((dp[-1]))
p03329
import sys def f(n): X6 = [] X9 = [] for i in range(1, 10): if n >= 6**i: X6.append(6**i) if n >= 9**i: X9.append(9**i) return X6, X9 def main(): input = sys.stdin.readline N = int(eval(input())) dp = [0 for _ in range(N+1)] for i in range(1, N+1): can = [] X6, X9 = f(i) X = [1] + X6 + X9 for x in X: can.append(dp[i-x] + 1) dp[i] = min(can) print((dp[N])) if __name__ == '__main__': main()
import sys def f(n): X6 = [] X9 = [] for i in range(0, 10): if n >= 6**i: X6.append(6**i) if n >= 9**i: X9.append(9**i) return max(X6), max(X9) def main(): input = sys.stdin.readline N = int(eval(input())) dp = [0 for _ in range(N+1)] for i in range(1, N+1): can = [] max6, max9 = f(i) X = [1, max6, max9] for x in X: can.append(dp[i-x] + 1) dp[i] = min(can) print((dp[N])) if __name__ == '__main__': main()
p03329
import sys def f(n): X6 = [] X9 = [] for i in range(0, 10): if n >= 6**i: X6.append(6**i) if n >= 9**i: X9.append(9**i) return max(X6), max(X9) def main(): input = sys.stdin.readline N = int(eval(input())) dp = [0 for _ in range(N+1)] for i in range(1, N+1): can = [] max6, max9 = f(i) X = [1, max6, max9] for x in X: can.append(dp[i-x] + 1) dp[i] = min(can) print((dp[N])) if __name__ == '__main__': main()
import sys from itertools import count, takewhile def dfs(n, d={}): if n < 6: return n if n in d: return d[n] max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) d[n] = min(dfs(n-max9), dfs(n-max6)) + 1 return d[n] def main(): input = sys.stdin.readline N = int(eval(input())) print((dfs(N))) if __name__ == '__main__': main()
p03329
N=int(eval(input())) A=[] for i in range(1,10): if 6**i<=100000: A.append(6**i) if 9**i<=100000: A.append(9**i) L=[i for i in range(100001)] A.sort() for i in range(len(A)): for j in range(1,100001): if j>=A[i]: L[j]=min(L[j],L[j-A[i]]+1) print((L[N]))
N=int(eval(input())) C=[1] for i in range(1,100): if 6**i<=100000: C.append(6**i) else: break for i in range(1,100): if 9**i<=100000: C.append(9**i) else: break dp=[10**6 for i in range(N+1)] dp[0]=0 for i in C: for j in range(1,len(dp)): if j-i>=0: dp[j]=min(dp[j],dp[j-i]+1) print((dp[N]))
p03329
import copy N=eval(input()) def nine(m): if m<9: return m for i in range(1000): t=9**i if t>m: t1=9**(i-1) return m-t1 def six(m): if m<6: return m for i in range(1000): t=6**i if t>m: t2=6**(i-1) return m-t2 Z=15 k=1<<Z b=set() for i in range(k): n=copy.deepcopy(N) ans=0 for j in range(Z): if n<6: b.add(ans+n) break if i&(1<<j)!=0: #9 n=nine(n) ans+=1 else: #6 n=six(n) ans+=1 print(min(b))
N=eval(input()) dp=[ float("inf") for i in range(N+1) ] dp[0]=0 i=1 for i in range(1,8): for n in range(N): if n+ 9**i <=N: dp[ n+ 9**i ]=min( dp[n]+1, dp[ n+9**i ] ) if n+ 6**i <=N: dp[ n+ 6**i ]=min( dp[n]+1, dp[ n+6**i ] ) if n+ 1 <=N: dp[ n+ 1 ]=min( dp[n]+1, dp[ n+1 ] ) print(dp[N])
p03329
import sys sys.setrecursionlimit(101000) N=eval(input()) memo={} def dp(n): ret=float("inf") if n==0: return 0 if n<0: return float("inf") if n in memo: return memo[n] for k in range(1,8): t=min(dp(n-6**k)+1,dp(n-9**k)+1,dp(n-1)+1) ret=min(ret,t) memo[n]=ret return ret #print dp(8) #print dp(12) #print dp(83) #print dp(N) dp(N) print(memo[N])
N=eval(input()) nl=[] nl.append(1) for i in range(1,7): nl.append(6**i) for i in range(1,6): nl.append(9**i) dp=[ float("inf") for i in range(N+1)] dp[0]=0 for i in range(N+1): for dx in nl: if i+dx<=N: dp[i+dx]=min(dp[i+dx], dp[i]+1) print(dp[N])
p03329
N=eval(input()) nl=[] nl.append(1) for i in range(1,7): nl.append(6**i) for i in range(1,6): nl.append(9**i) dp=[ float("inf") for i in range(N+1)] dp[0]=0 for i in range(N+1): for dx in nl: if i+dx<=N: dp[i+dx]=min(dp[i+dx], dp[i]+1) print(dp[N])
# -*- coding: utf-8 -*- N=eval(input()) dp=[ float("inf") for _ in range(N+1) ] dp[0]=0 #1円 for i in range(N+1): if i+1<=N: dp[i+1]=min(dp[i+1],dp[i]+1) #6円 for k in range(1,10**5): yen=6**k for i in range(N+1): if i+yen<=N: dp[i+yen]=min(dp[i+yen],dp[i]+1) if N<=yen:break #9円 for k in range(1,10**5): yen=9**k for i in range(N+1): if i+yen<=N: dp[i+yen]=min(dp[i+yen],dp[i]+1) if N<=yen:break print(dp[N])
p03329
max_n = 100000 N = int(eval(input())) dp = [N for _ in range(N+1)] dp[0] = 0 for n in range(1, N+1): for pow6 in range(n+1): if 6 ** pow6 <= n: dp[n] = min(dp[n], dp[n - 6 ** pow6] + 1) else: break for pow9 in range(n+1): if 9 ** pow9 <= n: dp[n] = min(dp[n], dp[n - 9 ** pow9] + 1) else: break print((dp[N]))
N = int(eval(input())) one = [1] six_multi = [6, 6**2, 6**3, 6**4, 6**5, 6**6] nine_multi = [9, 9**2, 9**3, 9**4, 9**5] deposit = one + six_multi + nine_multi dp = [10**10 for _ in range(N+1)] dp[0] = 0 for i in range(0, N): for d in range(len(deposit)): if i+deposit[d] <= N: dp[i+deposit[d]] = min(dp[i+deposit[d]], dp[i] + 1) print((dp[N]))
p03329
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(eval(input())) #整数読み込み def ifn(): return float(eval(input())) #浮動小数点読み込み def isn(): return input().split() #文字列読み込み def imn(): return list(map(int, input().split())) #整数map取得 def fmn(): return list(map(float, input().split())) #浮動小数点map取得 def iln(): return list(map(int, input().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, input().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD MAX_N = 110000 N = iin() dp = [10**10 for _ in range(MAX_N)] dp[0] = 0 for i in range(0, N): pow6 = 1 while i + pow6 <= N: dp[i+pow6] = min(dp[i+pow6], dp[i]+1) pow6 *= 6 pow9 = 1 while i + pow9 <= N: dp[i+pow9] = min(dp[i+pow9], dp[i]+1) pow9 *= 9 print((dp[N]))
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(eval(input())) #整数読み込み def ifn(): return float(eval(input())) #浮動小数点読み込み def isn(): return input().split() #文字列読み込み def imn(): return list(map(int, input().split())) #整数map取得 def fmn(): return list(map(float, input().split())) #浮動小数点map取得 def iln(): return list(map(int, input().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, input().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD MAX_N = 110000 N = iin() dp = [-1 for _ in range(MAX_N)] dp[0] = 0 que = collections.deque() que.append(0) while (len(que) != 0): v = que.popleft() pow6 = 1 while v+pow6 <= N: if dp[v+pow6] == -1: dp[v+pow6] = dp[v] + 1 que.append(v+ pow6) pow6 *= 6 pow9 = 1 while v+pow9 <= N: if dp[v+pow9] == -1: dp[v+pow9] = dp[v] + 1 que.append(v+pow9) pow9 *= 9 print((dp[N]))
p03329
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from decimal import * from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 INF = float('inf') #無限大 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(sys.stdin.readline()) #整数読み込み def ifn(): return float(sys.stdin.readline()) #浮動小数点読み込み def isn(): return sys.stdin.readline().split() #文字列読み込み def imn(): return map(int, sys.stdin.readline().split()) #整数map取得 def imnn(): return map(lambda x:int(x)-1, sys.stdin.readline().split()) #整数-1map取得 def fmn(): return map(float, sys.stdin.readline().split()) #浮動小数点map取得 def iln(): return list(map(int, sys.stdin.readline().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, sys.stdin.readline().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD def print_list(l): print(*l, sep='\n') def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def No(): print('No') def sieves_of_e(n): is_prime = [True] * (n+1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5)+1): if not is_prime[i]: continue for j in range(i * 2, n+1, i): is_prime[j] = False return is_prime N = iin() dp = [INF for _ in range(N+1)] dp[0] = 0 for i in range(N): pow6 = 1 while i+pow6 < N+1: dp[i+pow6] = min(dp[i+pow6], dp[i]+1) pow6 *= 6 pow9 = 1 while i+pow9 < N+1: dp[i+pow9] = min(dp[i+pow9], dp[i]+1) pow9 *= 9 print(dp[N])
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from decimal import * from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 INF = float('inf') #無限大 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(sys.stdin.readline()) #整数読み込み def ifn(): return float(sys.stdin.readline()) #浮動小数点読み込み def isn(): return sys.stdin.readline().split() #文字列読み込み def imn(): return map(int, sys.stdin.readline().split()) #整数map取得 def imnn(): return map(lambda x:int(x)-1, sys.stdin.readline().split()) #整数-1map取得 def fmn(): return map(float, sys.stdin.readline().split()) #浮動小数点map取得 def iln(): return list(map(int, sys.stdin.readline().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, sys.stdin.readline().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD def print_list(l): print(*l, sep='\n') def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def No(): print('No') def sieves_of_e(n): is_prime = [True] * (n+1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5)+1): if not is_prime[i]: continue for j in range(i * 2, n+1, i): is_prime[j] = False return is_prime N = iin() dp = [-1 for _ in range(N+1)] dp[0] = 0 queue = deque([0]) while len(queue) > 0: current = queue.popleft() pow6 = 1 while current+pow6 <= N: if dp[current+pow6] == -1: queue.append(current+pow6) dp[current+pow6] = dp[current]+1 pow6 *= 6 pow9 = 1 while current+pow9 <= N: if dp[current+pow9] == -1: queue.append(current+pow9) dp[current+pow9] = dp[current]+1 pow9 *= 9 print(dp[N])
p03329
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from decimal import * from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 INF = float('inf') #無限大 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(sys.stdin.readline()) #整数読み込み def ifn(): return float(sys.stdin.readline()) #浮動小数点読み込み def isn(): return sys.stdin.readline().split() #文字列読み込み def imn(): return map(int, sys.stdin.readline().split()) #整数map取得 def imnn(): return map(lambda x:int(x)-1, sys.stdin.readline().split()) #整数-1map取得 def fmn(): return map(float, sys.stdin.readline().split()) #浮動小数点map取得 def iln(): return list(map(int, sys.stdin.readline().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, sys.stdin.readline().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD def print_list(l): print(*l, sep='\n') def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def No(): print('No') def sieves_of_e(n): is_prime = [True] * (n+1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5)+1): if not is_prime[i]: continue for j in range(i * 2, n+1, i): is_prime[j] = False return is_prime N = iin() money = [] pow6 = 1 while pow6 <= N: money.append(pow6) pow6 *= 6 pow9 = 9 while pow9 <= N: money.append(pow9) pow9 *= 9 lm = len(money) dp = [[INF for _ in range(N+1)] for _ in range(lm+1)] dp[0][0] = 0 for i in range(lm): for j in range(N+1): dp[i+1][j] = dp[i][j] if j - money[i] >= 0: dp[i+1][j] = min(dp[i+1][j], dp[i+1][j-money[i]]+1) print(dp[lm][N])
import math import fractions import bisect import collections import itertools import heapq import string import sys import copy from decimal import * from collections import deque sys.setrecursionlimit(10**7) MOD = 10**9+7 INF = float('inf') #無限大 def gcd(a,b):return fractions.gcd(a,b) #最大公約数 def lcm(a,b):return (a*b) // fractions.gcd(a,b) #最小公倍数 def iin(): return int(sys.stdin.readline()) #整数読み込み def ifn(): return float(sys.stdin.readline()) #浮動小数点読み込み def isn(): return sys.stdin.readline().split() #文字列読み込み def imn(): return map(int, sys.stdin.readline().split()) #整数map取得 def imnn(): return map(lambda x:int(x)-1, sys.stdin.readline().split()) #整数-1map取得 def fmn(): return map(float, sys.stdin.readline().split()) #浮動小数点map取得 def iln(): return list(map(int, sys.stdin.readline().split())) #整数リスト取得 def iln_s(): return sorted(iln()) # 昇順の整数リスト取得 def iln_r(): return sorted(iln(), reverse=True) # 降順の整数リスト取得 def fln(): return list(map(float, sys.stdin.readline().split())) # 浮動小数点リスト取得 def join(l, s=''): return s.join(l) #リストを文字列に変換 def perm(l, n): return itertools.permutations(l, n) # 順列取得 def perm_count(n, r): return math.factorial(n) // math.factorial(n-r) # 順列の総数 def comb(l, n): return itertools.combinations(l, n) # 組み合わせ取得 def comb_count(n, r): return math.factorial(n) // (math.factorial(n-r) * math.factorial(r)) #組み合わせの総数 def two_distance(a, b, c, d): return ((c-a)**2 + (d-b)**2)**.5 # 2点間の距離 def m_add(a,b): return (a+b) % MOD def print_list(l): print(*l, sep='\n') def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def No(): print('No') def sieves_of_e(n): is_prime = [True] * (n+1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5)+1): if not is_prime[i]: continue for j in range(i * 2, n+1, i): is_prime[j] = False return is_prime N = iin() money = [] pow6 = 1 while pow6 <= N: money.append(pow6) pow6 *= 6 pow9 = 9 while pow9 <= N: money.append(pow9) pow9 *= 9 lm = len(money) dp = [INF for _ in range(N+1)] dp[0] = 0 for i in range(lm): for j in range(N+1): if j - money[i] >= 0: dp[j] = min(dp[j], dp[j-money[i]]+1) print(dp[N])
p03329
import math N = int(eval(input())) def Nsinpou(x, base): #配列を返す Nsin[0]が上位桁 ex. 56(base=6) => [1,3,2] if x == 0: return [0] #log_n(0)の回避 Nsin = [] for i in range((int(round(math.log(x,base))//1)+1)): ithdigit = x%(base**(i+1)) // (base ** i) Nsin.append(ithdigit) Nsin.reverse() return Nsin ans = N #最大でも1円玉N枚 for i in range(N+1): #分け方全探索 coins = sum(Nsinpou(i,6)) + sum(Nsinpou(N-i,9)) if coins < ans: ans = coins print(ans)
MAX_N = 10**5 N = int(eval(input())) dp = [MAX_N]*(N+1) dp[0] = 0 dp[1] = 1 MONEY_LIST = [6**i for i in range(7)] MONEY_LIST.extend([9**i for i in range(1,6)]) MONEY_LIST.sort() for i in range(N+1): for m in MONEY_LIST: if m>i: break dp[i] = min(dp[i],dp[i-m]+1) print((dp[N]))
p03329
MAX_N = 10**5 N = int(eval(input())) dp = [MAX_N]*(N+1) dp[0] = 0 dp[1] = 1 MONEY_LIST = [6**i for i in range(7)] MONEY_LIST.extend([9**i for i in range(1,6)]) MONEY_LIST.sort() for i in range(N+1): for m in MONEY_LIST: if m>i: break dp[i] = min(dp[i],dp[i-m]+1) print((dp[N]))
from itertools import count, takewhile def dfs(n:int, d={}) -> int: if n<6: return n if n in d: return d[n] max9 = max(takewhile(lambda x: x<=n, (9**i for i in count()))) max6 = max(takewhile(lambda x: x<=n, (6**i for i in count()))) d[n] = min(dfs(n-max9), dfs(n-max6))+1 return d[n] print((dfs(int(eval(input())))))
p03329
N = int(eval(input())) A = [1] for k in range(1,7): A.append(6**k) for k in range(1,6): A.append(9**k) dp = [[0 for _ in range(len(A))] for _ in range(N+1)] for i in range(N+1): dp[i][0] = i for j in range(len(A)): dp[1][j] = 1 for i in range(2,N+1): for j in range(1,len(A)): if i>=A[j]: dp[i][j] = min(dp[i][j-1],dp[i-A[j]][j]+1) else: dp[i][j] = dp[i][j-1] print((dp[N][len(A)-1]))
memo = {} def f(x): if 0<=x<=5: return x if x in memo: return memo[x] k = 0 while 9**k<=x: k += 1 m = 0 while 6**m<=x: m += 1 memo[x] = min(f(x-9**(k-1))+1,f(x-6**(m-1))+1) return memo[x] print((f(int(eval(input())))))
p03329
from collections import Counter,defaultdict import sys,heapq,bisect,math,itertools,string,queue,datetime mod = 10**9+7 def inp(): return int(sys.stdin.readline()) def inpl(): return list(map(int, sys.stdin.readline().split())) def inpl_str(): return list(sys.stdin.readline().split()) n = inp() dp = [mod for i in range(2*n)] dp[0] = 0 p_6 = [] p_9 = [] tmp = 1 while tmp <= n: p_6.append(tmp) tmp *= 6 tmp = 1 while tmp <= n: p_9.append(tmp) tmp *= 9 for i in range(n): for j in p_6: if i+j <= n: dp[i+j] = min(dp[i+j],dp[i]+1) for k in p_9: if i+k <= n: dp[i+k] = min(dp[i+k],dp[i]+1) print((dp[n]))
from collections import Counter,defaultdict,deque from heapq import heappop,heappush,heapify import sys,bisect,math,itertools,fractions sys.setrecursionlimit(10**8) mod = 10**9+7 INF = float('inf') def inp(): return int(sys.stdin.readline()) def inpl(): return list(map(int, sys.stdin.readline().split())) n = inp() res = [INF] * (n+1) res[0] = 0 ge = [1] for i in [6,9]: now = 1 while True: now *= i if now > n: break ge.append(now) ge.sort() for i in range(1,n+1): for x in ge: if x > i: continue res[i] = min(res[i], res[i-x]+1) print((res[n]))
p03329
def solve(): N = int(eval(input())) dp = [float('inf')] * (N+1) dp[0] = 0 for i in range(N): k = 0 while 6 ** k + i<= N: dp[6 ** k + i] = min(dp[6**k + i], dp[i] + 1) k += 1 k = 0 while 9 ** k + i <= N: dp[9 ** k + i] = min(dp[9**k+i], dp[i] + 1) k += 1 dp[i+1] = min(dp[i+1], dp[i] + 1) print((dp[-1])) if __name__ == '__main__': solve()
def solve(): N = int(eval(input())) dp = [float('inf')] * (N+1) dp[0] = 0 for i in range(1,N+1): # 1yen dp[i] = min(dp[i], dp[i-1]+1) # 6 ** n yen n = 1 while i - pow(6,n) >= 0: dp[i] = min(dp[i], dp[i-pow(6,n)]+1) n += 1 # 9 ** n yen n = 1 while i - pow(9,n) >= 0: dp[i] = min(dp[i], dp[i-pow(9,n)]+1) n += 1 print((dp[-1])) if __name__ == '__main__': solve()
p03329