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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as Β«.Β», 1 as Β«-.Β» and 2 as Β«--Β». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet. Input The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes). Output Output the decoded ternary number. It can have leading zeroes. Examples Input .-.-- Output 012 Input --. Output 20 Input -..-.-- Output 1012 Submitted Solution: ``` n = input() for i in range(len(n)): if i=='.': print("0",end="") elif i=='-' and i+1=='.': print("1",end="") i+=1 elif i=='-' and i+1=='-': print("2",end="") i+=1 ```
instruction
0
80,295
20
160,590
No
output
1
80,295
20
160,591
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as Β«.Β», 1 as Β«-.Β» and 2 as Β«--Β». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet. Input The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes). Output Output the decoded ternary number. It can have leading zeroes. Examples Input .-.-- Output 012 Input --. Output 20 Input -..-.-- Output 1012 Submitted Solution: ``` s=str(input()) final="" for i in range(len(s)-1): if s[i]==".": final+="0" elif s[i]=="-" and s[i+1]==".": final+="1" else: final+="2" print(final) ```
instruction
0
80,296
20
160,592
No
output
1
80,296
20
160,593
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,304
20
160,608
Tags: math, number theory Correct Solution: ``` def end(x) : if x == 0 : return "1869"; if x == 6 : return "1968"; if x == 5 : return "1689"; if x == 4 : return "6891"; if x == 3 : return "1689"; if x == 2 : return "1986"; if x == 1 : return "1896"; d = [0] * 10; for c in input() : d[int(c)] += 1; for i in [1,6,8,9] : d[i] -= 1; s = ""; ost = 0; for i in range(10) : for j in range(d[i]): ost = (ost * 10 + i) % 7; ost = (1869, 1896, 1986, 1698, 6198, 1689, 1968)[ost * 10000 % 7]; for c in (1,2,3,4,5,6,7,8,9) : s += str(c) * d[c]; print(s + str(ost) + "0" * d[0]); ```
output
1
80,304
20
160,609
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,305
20
160,610
Tags: math, number theory Correct Solution: ``` n = [int(i) for i in input()] for x in [1, 6, 8, 9]: for i in range(len(n)): if n[i] == x: del n[i] break prefix = [1869, 6189, 1689, 6198, 1698, 9861, 1896] res = sum([n[i] * pow(10, len(n)-i-1, 7) for i in range(len(n))]) print(prefix[-res * pow(10, 5*len(n), 7) % 7], end='') print(*n, sep='') ```
output
1
80,305
20
160,611
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,306
20
160,612
Tags: math, number theory Correct Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # ------------------- fast io -------------------- from math import gcd, ceil def prod(a, mod=10**9+7): ans = 1 for each in a: ans = (ans * each) % mod return ans def lcm(a, b): return a * b // gcd(a, b) def binary(x, length=16): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y def check_div(s): ans = 0 j = 0 for i in range(len(s)-1, -1, -1): ans += s[i]*pow(10,j,7) ans %= 7 j += 1 return ans % 7 for _ in range(int(input()) if not True else 1): #n = int(input()) #n, k = map(int, input().split()) #a, b = map(int, input().split()) #c, d = map(int, input().split()) #a = list(map(int, input().split())) #b = list(map(int, input().split())) s = [int(k) for k in input()] a,b,c,d=0,0,0,0 zero=0 s2=[] for i in s: if i == 0: zero += 1 elif i==1 and not a: a+=1 elif i == 6 and not b: b+=1 elif i == 8 and not c: c+=1 elif i == 9 and not d: d += 1 else: s2 += [i] s22 = check_div(s2) fk = [[1, 6, 8, 9], [1, 6, 9, 8], [1, 8, 6, 9], [1, 8, 9, 6], [1, 9, 6, 8], [1, 9, 8, 6], [6, 1, 8, 9], [6, 1, 9, 8], [6, 8, 1, 9], [6, 8, 9, 1], [6, 9, 1, 8], [6, 9, 8, 1], [8, 1, 6, 9], [8, 1, 9, 6], [8, 6, 1, 9], [8, 6, 9, 1], [8, 9, 1, 6], [8, 9, 6, 1], [9, 1, 6, 8], [9, 1, 8, 6], [9, 6, 1, 8], [9, 6, 8, 1], [9, 8, 1, 6], [9, 8, 6, 1]] for f in fk: if (s22*(10**4) + check_div(f))%7==0: print("".join(str(k) for k in s2+f+[0]*zero)) quit() ```
output
1
80,306
20
160,613
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,307
20
160,614
Tags: math, number theory Correct Solution: ``` import itertools digits = [1, 2, 3, 4, 5, 6, 7, 8, 9] numdict = {'all':'1869234570','-1':'2345896','-2':'1345869','-3':'1245986','-4':'1235689','-5':'1234968','-6':'1235948','-8':'1234569','-9':'1234856'} def list2num(numlist): num = 0 for digit in numlist: num = num * 10 + digit #print(num) #input() return num def div7(numlist): pailie = itertools.permutations(numlist) flag = 0 for yuanshu in pailie: num = list2num(yuanshu) if num % 7 == 0: flag = 1 return num break if flag == 0: return 0 def pre_num(num_string): count = [] for i in range(10): if str(i) in '1689': count.append(num_string.count(str(i)) - 1) else: count.append(num_string.count(str(i))) return count def simulinkinput(): tmp = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] tmp = tmp * 5 for i in range(10, 40): zhuhe = itertools.combinations(tmp, i) for yuanshu in zhuhe: num_string = str(list2num(yuanshu)) + '1689' main(num_string) def count2num(numlist): tmplist = [] for i in range(1,len(numlist)): if numlist[i] > 0: tmplist.append(i) return tmplist def main(): num_string = input() result_string = ['','111111','222222','333333','444444','555555','666666','777777','888888','999999'] res_list = [1,8,6,9] count = [] count = pre_num(num_string) result = '' for i in range(1,10): if count[i] >= 6: loop = count[i] // 6 result = result + result_string[i] * loop count[i] = count[i] % 6 mincount = min(count[1:]) if mincount > 0: result = result + '186923457' * mincount for i in range(1,10): count[i] = count[i] - mincount for i in range(9): numzhlist = count2num(count) mincount = min(count[1:]) tmpstring = div7(numzhlist) if tmpstring != 0: result = result + str(tmpstring) * mincount for j in numzhlist: count[j] = count[j] - mincount else: break for i in range(1,10): for j in range(count[i]): res_list.append(i) resnum = div7(res_list) if resnum == 0: exit('0') else: result = result + str(resnum) + '0' * count[0] print(result) #print('%s/7 = %d' %(result,int(result)/7.0)) if __name__ == '__main__': main() #simulinkinput() ''' while True: main() input() ''' # print(__name__) ```
output
1
80,307
20
160,615
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,308
20
160,616
Tags: math, number theory Correct Solution: ``` import sys from math import * from fractions import gcd readints=lambda:map(int, input().strip('\n').split()) n=input().strip('\n') from itertools import permutations perms = [''.join(p) for p in permutations('1689')] mod={} for p in perms: p=int(p) mod[p%7]=p freq=[0]*10 for d in n: d=int(d) freq[d]+=1 for d in (1,6,8,9): freq[d]-=1 m=0 for i in range(1,10): for _ in range(freq[i]): m=(10*m + i)%7 suf='' for p in mod.values(): cur=int(str(m)+str(p)) if cur%7==0: suf=str(p) break ans='' for i in range(1,10): ans += str(i)*freq[i] ans += suf ans += '0'*freq[0] print(ans) ```
output
1
80,308
20
160,617
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,309
20
160,618
Tags: math, number theory Correct Solution: ``` S='1689' s=input() Z=s.count('0') s=s.replace('0','') for i in S:t=s.index(i);s=s[:t]+s[t+1:] k=0 for i in s:k=(k*10+ord(i)-ord('0'))%7 for a in S: for b in S: for c in S: for d in S: if len(set(a+b+c+d))==4 and (k*10000+int(a+b+c+d))%7==0: print(s+a+b+c+d+'0'*Z) exit() ```
output
1
80,309
20
160,619
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,310
20
160,620
Tags: math, number theory Correct Solution: ``` a = input() b=[0]*10 total = 0 for i in a: b[int(i)]+=1 for i in [1,6,8,9]: b[i]-=1 for i in range(1,10): for j in range(b[i]): total = (total * 10 + i) % 7 print(str(i)*b[i],end = '') total = (10000 * total)%7 z = ['1869','6189','9186','6198','8691','9168','1896','1869'] print(z[7 - total]+'0'*b[0]) ```
output
1
80,310
20
160,621
Provide tags and a correct Python 3 solution for this coding contest problem. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690
instruction
0
80,311
20
160,622
Tags: math, number theory Correct Solution: ``` import sys n = [int(d) for d in sys.stdin.readline()[:-1]] for x in [1,6,8,9]: for i in range(len(n)): if n[i]==x: del n[i] break prefix = [1869,6189,1689,6198,1698,9861,1896] L = sum([n[i]*pow(10,len(n)-i-1,7) for i in range(len(n))])%7 print(prefix[(-L)*pow(10,5*len(n),7)%7],end='') print(*n, sep='') ```
output
1
80,311
20
160,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` import os import sys from io import BytesIO, IOBase def main(): pass # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def binary(n): return (bin(n).replace("0b", "")) def decimal(s): return (int(s, 2)) def pow2(n): p = 0 while (n > 1): n //= 2 p += 1 return (p) def isPrime(n): if (n == 1): return (False) else: root = int(n ** 0.5) root += 1 for i in range(2, root): if (n % i == 0): return (False) return (True) s=input() f=[0]*10 mod=[1869,8961,6981,6198,1698,9861,1896] for i in s: f[int(i)]+=1 a="" cm=0 for i in s: if(i!="0"): n=int(i) if(n==1 or n==6 or n==8 or n==9): if(f[n]>1): cm=(cm*10+n)%7 f[n]-=1 print(i,end="") else: cm=(cm*10+n)%7 f[n]-=1 print(i,end="") #print(a,cm) for i in range(0,4): cm=(cm*10)%7 if(cm==0): print(str(mod[cm]),end="") print('0'*f[0]) else: print(str(mod[7-cm]), end="") print('0' * f[0]) ```
instruction
0
80,312
20
160,624
Yes
output
1
80,312
20
160,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` import sys input=sys.stdin.readline a=input().rstrip() s=["1869","1968","1689","6198","1698","1986","1896"] cnt=[0]*10 for i in range(len(a)): cnt[int(a[i])]+=1 cnt[1]-=1;cnt[6]-=1;cnt[8]-=1;cnt[9]-=1 ans=[] m=0 for i in range(1,10): while cnt[i]>0: m=(10*m+i)%7 ans.append(str(i)) cnt[i]-=1 need_m=(7-(m*(10**4))%7)%7 ans.append(s[need_m]) ans.extend(["0"]*cnt[0]) print("".join(ans)) ```
instruction
0
80,313
20
160,626
Yes
output
1
80,313
20
160,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict,deque,Counter from bisect import * from math import sqrt,pi,ceil,log import math from itertools import permutations from copy import deepcopy from sys import setrecursionlimit def main(): a=input().rstrip() n=len(a) a=Counter(a) a["6"]-=1 a["1"]-=1 a["8"]-=1 a["9"]-=1 z,s,y=0,[],[1] for i in range(n): y.append((y[-1]*10)%7) xx=1 for i in a: if i!="0": x=int(i) for j in range(a[i]): s.append(i) z=(z+x*y[n-xx])%7 xx+=1 f=1 for i in permutations([1,6,8,9]): if (z+i[0]*y[n-xx]+i[1]*y[n-xx-1]+i[2]*y[n-xx-2]+i[3]*(y[n-xx-3]))%7==0: f=0 s.extend([str(i[0]),str(i[1]),str(i[2]),str(i[3])]) break if f: print(0) else: s.append("0"*a["0"]) print("".join(s)) # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") if __name__ == "__main__": main() ```
instruction
0
80,314
20
160,628
Yes
output
1
80,314
20
160,629
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` # Made By Mostafa_Khaled bot = True a=input() cnt=[0]*10 for i in (1,6,8,9): cnt[i]=-1 for i in a: cnt[int(i)]+=1 mod = [1869, 1968, 9816, 6198, 1698, 1986, 1896, 1869] modCnt=0 for i in range(1,10): for j in range(cnt[i]): modCnt= (modCnt*3 + i)%7 print(str(i)*cnt[i], end='') modCnt=(10000*modCnt)%7 print(str(mod[7-modCnt])+'0'*cnt[0]) # Made By Mostafa_Khaled ```
instruction
0
80,315
20
160,630
Yes
output
1
80,315
20
160,631
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` a = ['9681', '6819', '6981', '6891', '8691', '9861', '8196'] s = input() mp = {'1':True, '6':True, '8':True, '9':True} new = '' for i in list(s): if (i in mp): if mp[i]: mp[i] = False continue new += i if len(new) and int(new): new = int(new)*10000 print(int(str(new)[:-4] + a[7-(new%7)])) else: print(a[0]) ```
instruction
0
80,316
20
160,632
No
output
1
80,316
20
160,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` from itertools import permutations def seven(n): ans=[] if len(n)==10**6: return 0 n=n.replace("1","",1) n = n.replace("6", "", 1) n = n.replace("8", "", 1) n = n.replace("9", "", 1) lst=[str(i) for i in str(1689)] # print(n) if n=="": return "1869" p=list(permutations(lst)) val=sorted(["".join(i) for i in p]) if n=="0": return 18690 x=int(n)%7 if x==4: return n+"1986" if x==5: return n+"1968" if x==3: return n+"1689" if x==0: return n+"1869" return 0 print(seven(input())) ```
instruction
0
80,317
20
160,634
No
output
1
80,317
20
160,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` from itertools import permutations perm = permutations([1,8,6,9]) n=[] for i in list(perm): s='' for j in list(i): s=s+str(j) n.append(int(s)) d={} for i in n: d[i%7]=str(i) s=input() z=0 nz='' c1,c2,c3,c4=0,0,0,0 for i in range(len(s)): if s[i]=='1' and c1==0: c1=1 elif s[i]=='8' and c2==0: c2=1 elif s[i]=='6' and c3==0: c3=1 elif s[i]=='9' and c4==0: c4=1 elif s[i]=='0': z=z+1 else: nz=nz+s[i] if nz!='': x=int(nz)%7 if x==0: ans=nz+d[0]+'0'*z else: ans=nz+d[7-x]+'0'*z else: ans=d[0]+'0'*z print(int(ans)) ```
instruction
0
80,318
20
160,636
No
output
1
80,318
20
160,637
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have number a, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7. Number a doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resulting number also mustn't contain any leading zeroes. Input The first line contains positive integer a in the decimal record. It is guaranteed that the record of number a contains digits: 1, 6, 8, 9. Number a doesn't contain any leading zeroes. The decimal representation of number a contains at least 4 and at most 106 characters. Output Print a number in the decimal notation without leading zeroes β€” the result of the permutation. If it is impossible to rearrange the digits of the number a in the required manner, print 0. Examples Input 1689 Output 1869 Input 18906 Output 18690 Submitted Solution: ``` n=int(input()) t=0 a=0 b=0 c=0 d=0 z=0 while n: x=n%10 if x==1 and a==0: a=1 elif x==6 and b==0: b=1 elif x==8 and c==0: c=1 elif x==9 and d==0: d=1 else: t*=10 t+=x if x==0: z+=1 n//=10 t*=10000 if t%7==0: t+=1869 elif t%7==6: t+=1968 elif t%7==5: t+=1689 elif t%7==4: t+=6198 elif t%7==3: t+=8691 elif t%7==2: t+=1986 else: t+=8196 while z: z-=1 t*=10 print(t) ```
instruction
0
80,319
20
160,638
No
output
1
80,319
20
160,639
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,354
20
160,708
Tags: binary search, constructive algorithms, math Correct Solution: ``` A = int(input()) F1019 = (45 * 19 * 10**18 + 1) % A # F1019 = (45 * 3 * 10**2 + 1) % A r = (-F1019) % A print(r + 1, 10**19 + r) ```
output
1
80,354
20
160,709
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,355
20
160,710
Tags: binary search, constructive algorithms, math Correct Solution: ``` n = int(input()) r = 45*18*10**17; l = n-r%n r = l +10**18-1 print(l,r) ```
output
1
80,355
20
160,711
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,356
20
160,712
Tags: binary search, constructive algorithms, math Correct Solution: ``` a = int(input()) b = 45*19*10**18+1 k = a - (b % a) print(str(k+1)+" "+str(10000000000000000000+k)) ```
output
1
80,356
20
160,713
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,357
20
160,714
Tags: binary search, constructive algorithms, math Correct Solution: ``` a = int(input()) print (a-(45*20*10**19)%a,a-(45*20*10**19)%a+10**20-1) ```
output
1
80,357
20
160,715
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,358
20
160,716
Tags: binary search, constructive algorithms, math Correct Solution: ``` a=int(input()) x=a-((10**21)*9)%a print(x,10**20+x-1) # Made By Mostafa_Khaled ```
output
1
80,358
20
160,717
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,359
20
160,718
Tags: binary search, constructive algorithms, math Correct Solution: ``` a = int(input()) x, t = 10 ** 100 - 1, a - 100 * 45 * 10 ** 99 % a print(t, t + x) ```
output
1
80,359
20
160,719
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,360
20
160,720
Tags: binary search, constructive algorithms, math Correct Solution: ``` # test code from internet a = int( input() ) k = (45 * 18 * 10**17) % a; t = a - k; print(t, t + 10**18 - 1) ```
output
1
80,360
20
160,721
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333
instruction
0
80,361
20
160,722
Tags: binary search, constructive algorithms, math Correct Solution: ``` A = int(input()) l = 1 r = 10**100 cnt = 10**99*100*45 + 1 cnt = -cnt % A l += cnt r += cnt print(l, r) ```
output
1
80,361
20
160,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` n = input() n = int(n) #print(n) if (n < 46): a = 0 while n: if (n >= 10): a = a * 10 + 9 n -= 9; else: a = a * 10 + n n = 0 print(a, a) exit(0) p = 1 for i in range(1,n): p *= 10 m = p // 10 * i * 45 + 1 #print(m, p, m + p) if (m + p > n): k = n - m while k < 0: k += n if (k >= p): continue print(k + 1, p + k) exit(0) ```
instruction
0
80,362
20
160,724
Yes
output
1
80,362
20
160,725
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` e = 20 delta = 10**e - 1 a = int(input()) # Ha e*45*10**(e-1) digitos em delta. Para chegar em multiplo de a falta: start = a - (e * 45 * 10**(e-1)) % a print(start, start+delta) ```
instruction
0
80,363
20
160,726
Yes
output
1
80,363
20
160,727
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` a = int(input()) l = 1 r = 10**200 cur = [0] cnt = [1] for i in range(300): cur.append(cur[-1] * 10 + 45 * cnt[-1]) cnt.append(cnt[-1] * 10) def calc(x): global cur global cnt res = 0 a = [int(i) for i in str(x)] tot = 0 for i in range(len(a)): if (a[i] != 0): for j in range(a[i]): res += (tot + j) * cnt[len(a) - i - 1] res += a[i] * cur[len(a) - i - 1] tot += a[i] res += tot return res while (l < r - 1): m = (l + r) // 2 if (calc(m) < a): l = m else: r = m if (calc(l) >= a): r = l cur = calc(r) l = 1 def get(x): res = 0 while (x): res += x % 10 x //= 10 return res while (cur % a != 0): cur -= get(l) l += 1 while (cur < a): r += 1 cur += get(r) print(l, r) ```
instruction
0
80,364
20
160,728
Yes
output
1
80,364
20
160,729
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` # test code from internet n = int( input() ) x,t=10**100-1,n-100*45*10**99%n print(t,t+x) ```
instruction
0
80,365
20
160,730
Yes
output
1
80,365
20
160,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` a = int(input()) #1 10**15 sm = 45 * 10**15 // 10 + 1 l = 1 r = 10 ** 15 l += a - sm % a r += a - sm % a print(l,r) ```
instruction
0
80,366
20
160,732
No
output
1
80,366
20
160,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` a = int(input()) if a == 1: print("1 9001133713379001") quit() x = 81000000000000000001 x %= a want = ((1 - x) % a) print(want, want + 10**18 - 1) ```
instruction
0
80,367
20
160,734
No
output
1
80,367
20
160,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` m = int(input()) x,t=10**50-1,m-100*45*10**49%m print(t,t+x) ```
instruction
0
80,368
20
160,736
No
output
1
80,368
20
160,737
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has met the following problem recently. Let's define f(x) as the sum of digits in decimal representation of number x (for example, f(1234) = 1 + 2 + 3 + 4). You are to calculate <image> Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: ans = solve(l, r) % a; if (ans <= 0) ans += a; This code will fail only on the test with <image>. You are given number a, help Little X to find a proper test for hack. Input The first line contains a single integer a (1 ≀ a ≀ 1018). Output Print two integers: l, r (1 ≀ l ≀ r < 10200) β€” the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. Examples Input 46 Output 1 10 Input 126444381000032 Output 2333333 2333333333333 Submitted Solution: ``` n = int(input()) sum = (10 ** 18) * 19 * 45 sum+=3 l=1 r=(10**18)+1 dif=n-(sum%n) l+=dif r+=dif print(l,r) ```
instruction
0
80,369
20
160,738
No
output
1
80,369
20
160,739
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,566
20
161,132
Tags: constructive algorithms, implementation Correct Solution: ``` k = int(input()) if k > 36: print(-1) else: v = k // 2 n = k % 2 print(v * '8' + n * '6') ```
output
1
80,566
20
161,133
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,567
20
161,134
Tags: constructive algorithms, implementation Correct Solution: ``` import math import sys input = sys.stdin.readline def main(): n = int(input()) if n > 36: print(-1) else: print('8' * (n // 2), end='') if n%2 == 1: print('4') if __name__ == '__main__': main() ```
output
1
80,567
20
161,135
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,568
20
161,136
Tags: constructive algorithms, implementation Correct Solution: ``` pt = lambda *a, **k: print(*a, **k, flush=True) k = int(input()) if k > 36: pt(-1) else: while k: if k & 1: pt('4', end='') k -= 1 else: pt('8', end='') k -= 2 ```
output
1
80,568
20
161,137
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,569
20
161,138
Tags: constructive algorithms, implementation Correct Solution: ``` # cook your dish here int_k = int(input()) if(int_k%2 == 1): k = "4" int_k -= 1 else: k = "8" int_k -= 2 while int_k > 0 and int(k) < 10**18: k += "8" int_k -= 2 if(int_k == 0 and int(k) < 10**18 ): print(int(k)) else: print(-1) ```
output
1
80,569
20
161,139
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,570
20
161,140
Tags: constructive algorithms, implementation Correct Solution: ``` k = int(input()) if(k>36): print(-1) #at max 888888888888888888....10 power 18 , not more than that... #in one 8, two loops ,so 36 loop else: print("8"*(k//2) + "6"*(k%2)) ```
output
1
80,570
20
161,141
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,571
20
161,142
Tags: constructive algorithms, implementation Correct Solution: ``` n = int(input()) num = '' if n >= 37: print(-1) else : if n % 2 == 0: num += '8'*(n//2) print(num) else: num += '4' num += '8' * (n // 2) print(num) ```
output
1
80,571
20
161,143
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,572
20
161,144
Tags: constructive algorithms, implementation Correct Solution: ``` n=int(input()) if(n>36): print(-1) exit() if(n%2==0): for i in range(n//2): print(8,end="") else: for i in range(n//2): print(8,end="") print(4,end="") ```
output
1
80,572
20
161,145
Provide tags and a correct Python 3 solution for this coding contest problem. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080
instruction
0
80,573
20
161,146
Tags: constructive algorithms, implementation Correct Solution: ``` n=int(input()) if n>36: print(-1) else: if n%2==0: a="8"*(n//2) else: a="8"*(n//2) a+="6" print(a) ```
output
1
80,573
20
161,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` from collections import deque from math import ceil,floor,sqrt,gcd def ii(): return int(input()) def mi(): return map(int,input().split()) def li(): return list(mi()) def si():return input() n=ii() if(n>36): print('-1') else: x=n//2 y=n%2 print('8'*x+'6'*y) ```
instruction
0
80,574
20
161,148
Yes
output
1
80,574
20
161,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` k = int(input()) if(k>36): print(-1) else: print("8"*(k//2) + "4"*(k%2)) ```
instruction
0
80,575
20
161,150
Yes
output
1
80,575
20
161,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` k=int(input()) if(k>40): print(-1) else: if(k==0): print(1) elif(k==1): print(6) else: s='8'*(k//2) + '6'*(k%2) if(int(s)>10**18): print(-1) else: print(s) ```
instruction
0
80,576
20
161,152
Yes
output
1
80,576
20
161,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` n = int(input()) if n == 0: print("1") else: if ((n//2) +n%2) < 19: print("8"*(n//2) + "4"*(n%2)) else: print(-1) ```
instruction
0
80,577
20
161,154
Yes
output
1
80,577
20
161,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` i = int(input()) c = '8'*(i//2) + '6'*(i%2) print(c if (i//2//2)+i%2 <= 10*18 else -1) ```
instruction
0
80,578
20
161,156
No
output
1
80,578
20
161,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` import math k=int(input()) e=math.pow(10,18) s="" if k==0: print(4) elif k==1: print(0) elif k==2: print(8) else: if k%2!=0: for i in range(k//2): s+='8' if int(s)>e: print(-1) break else: print(s+"4") else: for i in range(k//2): s+='8' if int(s)>e: print(-1) break else: print(s) ```
instruction
0
80,579
20
161,158
No
output
1
80,579
20
161,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` k = int(input()) if k % 2 == 0: if len(str(k)) > 18: print(-1) else: print('8' * (k // 2)) else: if len(str(k)) > 18: print(-1) else: print('8' * (k // 2), '9', sep = '') ```
instruction
0
80,580
20
161,160
No
output
1
80,580
20
161,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big Banban is hesitating over the amount of money to give out. He considers loops to be lucky since it symbolizes unity and harmony. He would like to find a positive integer n not greater than 1018, such that there are exactly k loops in the decimal representation of n, or determine that such n does not exist. A loop is a planar area enclosed by lines in the digits' decimal representation written in Arabic numerals. For example, there is one loop in digit 4, two loops in 8 and no loops in 5. Refer to the figure below for all exact forms. <image> Input The first and only line contains an integer k (1 ≀ k ≀ 106) β€” the desired number of loops. Output Output an integer β€” if no such n exists, output -1; otherwise output any such n. In the latter case, your output should be a positive decimal integer not exceeding 1018. Examples Input 2 Output 462 Input 6 Output 8080 Submitted Solution: ``` k = int(input()) print('-1' if k > 36 else '8' * (k // 2) + '0' * (k % 2)) ```
instruction
0
80,581
20
161,162
No
output
1
80,581
20
161,163