message stringlengths 2 59.7k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 37 108k | cluster float64 20 20 | __index_level_0__ int64 74 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notice: unusual memory limit!
After the war, destroyed cities in the neutral zone were restored. And children went back to school.
The war changed the world, as well as education. In those hard days, a new math concept was created.
As we all know, logarithm function can be described as: $$$ log(p_1^{a_1}p_2^{a_2}...p_k^{a_2}) = a_1 log p_1 + a_2 log p_2 + ... + a_k log p_k Where p_1^{a_1}p_2^{a_2}...p_k^{a_2}$$$ is the prime factorization of a integer. A problem is that the function uses itself in the definition. That is why it is hard to calculate.
So, the mathematicians from the neutral zone invented this: $$$ exlog_f(p_1^{a_1}p_2^{a_2}...p_k^{a_2}) = a_1 f(p_1) + a_2 f(p_2) + ... + a_k f(p_k) $$$
Notice that exlog_f(1) is always equal to 0.
This concept for any function f was too hard for children. So teachers told them that f can only be a polynomial of degree no more than 3 in daily uses (i.e., f(x) = Ax^3+Bx^2+Cx+D).
"Class is over! Don't forget to do your homework!" Here it is: $$$ ∑_{i=1}^n exlog_f(i) $$$
Help children to do their homework. Since the value can be very big, you need to find the answer modulo 2^{32}.
Input
The only line contains five integers n, A, B, C, and D (1 ≤ n ≤ 3 ⋅ 10^8, 0 ≤ A,B,C,D ≤ 10^6).
Output
Print the answer modulo 2^{32}.
Examples
Input
12 0 0 1 0
Output
63
Input
4 1 2 3 4
Output
136
Note
In the first sample:
exlog_f(1) = 0
exlog_f(2) = 2
exlog_f(3) = 3
exlog_f(4) = 2 + 2 = 4
exlog_f(5) = 5
exlog_f(6) = 2 + 3 = 5
exlog_f(7) = 7
exlog_f(8) = 2 + 2 + 2 = 6
exlog_f(9) = 3 + 3 = 6
exlog_f(10) = 2 + 5 = 7
exlog_f(11) = 11
exlog_f(12) = 2 + 2 + 3 = 7
∑_{i=1}^{12} exlog_f(i)=63
In the second sample:
exlog_f(1) = 0
exlog_f(2) = (1 × 2^3 + 2 × 2^2 + 3 × 2 + 4) = 26
exlog_f(3) = (1 × 3^3 + 2 × 3^2 + 3 × 3 + 4) = 58
exlog_f(4) = 2 × exlog_f(2) = 52
∑_{i=1}^4 exlog_f(i)=0+26+58+52=136
Submitted Solution:
```
import math
[n,A,B,C,D] = [int(x) for x in input().split(" ")]
def is_prime(m):
if m<4:
return True
else:
for i in range(2,1+math.ceil(math.sqrt(m))):
if m % i == 0:
return False
return True
def poly(a):
return A*(a**3) + B*(a**2) + C*a + D
def digsum(n,p):
if n == 0:
return 0
return (n % p) + digsum(int(n/p),p)
ans = 0
for i in range (2,2+math.floor(math.sqrt(n))):
if is_prime(i):
#print("prime "+str(i))
ans = (int((n-digsum(n,i))/(i-1))*poly(i)+ans)%(2**32)
print(ans)
``` | instruction | 0 | 80,813 | 20 | 161,626 |
No | output | 1 | 80,813 | 20 | 161,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Notice: unusual memory limit!
After the war, destroyed cities in the neutral zone were restored. And children went back to school.
The war changed the world, as well as education. In those hard days, a new math concept was created.
As we all know, logarithm function can be described as: $$$ log(p_1^{a_1}p_2^{a_2}...p_k^{a_2}) = a_1 log p_1 + a_2 log p_2 + ... + a_k log p_k Where p_1^{a_1}p_2^{a_2}...p_k^{a_2}$$$ is the prime factorization of a integer. A problem is that the function uses itself in the definition. That is why it is hard to calculate.
So, the mathematicians from the neutral zone invented this: $$$ exlog_f(p_1^{a_1}p_2^{a_2}...p_k^{a_2}) = a_1 f(p_1) + a_2 f(p_2) + ... + a_k f(p_k) $$$
Notice that exlog_f(1) is always equal to 0.
This concept for any function f was too hard for children. So teachers told them that f can only be a polynomial of degree no more than 3 in daily uses (i.e., f(x) = Ax^3+Bx^2+Cx+D).
"Class is over! Don't forget to do your homework!" Here it is: $$$ ∑_{i=1}^n exlog_f(i) $$$
Help children to do their homework. Since the value can be very big, you need to find the answer modulo 2^{32}.
Input
The only line contains five integers n, A, B, C, and D (1 ≤ n ≤ 3 ⋅ 10^8, 0 ≤ A,B,C,D ≤ 10^6).
Output
Print the answer modulo 2^{32}.
Examples
Input
12 0 0 1 0
Output
63
Input
4 1 2 3 4
Output
136
Note
In the first sample:
exlog_f(1) = 0
exlog_f(2) = 2
exlog_f(3) = 3
exlog_f(4) = 2 + 2 = 4
exlog_f(5) = 5
exlog_f(6) = 2 + 3 = 5
exlog_f(7) = 7
exlog_f(8) = 2 + 2 + 2 = 6
exlog_f(9) = 3 + 3 = 6
exlog_f(10) = 2 + 5 = 7
exlog_f(11) = 11
exlog_f(12) = 2 + 2 + 3 = 7
∑_{i=1}^{12} exlog_f(i)=63
In the second sample:
exlog_f(1) = 0
exlog_f(2) = (1 × 2^3 + 2 × 2^2 + 3 × 2 + 4) = 26
exlog_f(3) = (1 × 3^3 + 2 × 3^2 + 3 × 3 + 4) = 58
exlog_f(4) = 2 × exlog_f(2) = 52
∑_{i=1}^4 exlog_f(i)=0+26+58+52=136
Submitted Solution:
```
import math
n, a, b, c, d = [*map(int, input().split())]
prime = [2]
f= [True] * (n + 1)
for i in range(3, n + 1, 2):
if f[i] == False:
continue
prime.append(i)
for j in range(1, n // i + 1):
f[i * j] = False
print(len(prime))
f = []
count = 0
position = {}
for i in prime:
f.append(a * (i ** 3) + b * (i ** 2) + c * i + d)
position[i] = count
count += 1
ans = 0
l = len(prime)
for i in range(2, n + 1):
if i in prime:
ans += f[position[i]]
else:
div = i
wk1 = 0
for j in reversed(range(l)):
exponent = 0
while div % prime[j] == 0:
exponent += 1
div = div // prime[j]
if div == 1:
break
wk1 += exponent * f[j]
if div == 1:
break
ans += wk1
# print(wk1)
print(ans)
``` | instruction | 0 | 80,814 | 20 | 161,628 |
No | output | 1 | 80,814 | 20 | 161,629 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,186 | 20 | 162,372 |
Tags: math
Correct Solution:
```
a, b = input().split()
sol=0
for i in range(10, 1, -1):
try:
c = int(a, i)+int(b, i)
s = 0
while c:
c//=i
s+=1
sol=max(s, sol)
except ValueError:
break
print(sol)
``` | output | 1 | 81,186 | 20 | 162,373 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,187 | 20 | 162,374 |
Tags: math
Correct Solution:
```
from collections import *
letters = '0123456789ABCDEF'
def todecimal(s, base):
res = 0
for i in range(len(s)):
res = (res * base) + letters.find(s[i])
return res
def tobase(s, base):
res = deque([])
if s == 0:
return 0
while (s != 0):
res.appendleft(letters[s % base])
s //= base
return ''.join(res)
a, b = map(int, input().split())
ma = max(int(max(list(str(a)))), int(max(list(str(b))))) + 1
a, b = todecimal(str(a), ma), todecimal(str(b), ma)
ans = a + b
print(len(tobase(ans, ma)))
``` | output | 1 | 81,187 | 20 | 162,375 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,188 | 20 | 162,376 |
Tags: math
Correct Solution:
```
from sys import stdin
inf=stdin
#inf=open("data1.txt",'rt')
n,m=inf.readline().split(" ")
t=int(max(max(n),max(m)))+1
ans=int(n,t)+int(m,t)
t1=t
val=1
while ans//t1>0:
val+=1
t1*=t
print(val)
#n=int(inf.readline())
#s=inf.readline()
# s="bacabcab"
# changed=False
# while not changed:
# print(s)
# changed=True
# i=0
# ll=len(s)
# while(i+1<ll and ord(s[i])!=ord(s[i+1])+1):
# i+=1
# j=i+1
# while(j+1<ll and ord(s[j])==ord(s[j+1])+1):
# j+=1
# if(i+1!=ll):
# s=s[:i]+s[j+1:]
# changed=False
# print(i,j,s[:i],s[j+1:])
# i=0
# ll=len(s)
# while(i+1<ll and ord(s[i])!=ord(s[i+1])-1):
# i+=1
# j=i+1
# while(j+1<ll and ord(s[j])==ord(s[j+1])-1):
# j+=1
# if(i+1!=ll):
# s=s[:i+1]+s[j+2:]
# changed=False
# print(i,j,s[:i+1],s[j+2:])
# print(len(s))
# for i in dicti:
# temp=0
# for j in helper:
# if(j[0]<=i[0] and j[1]<=i[1]):
# temp+=(i[0]-j[0]+1)*(i[1]-j[1]+1)
# if(j[1]<=i[0] and j[0]<=i[1] and j[0]!=j[1]):
# temp+=(i[0]-j[1]+1)*(i[1]-j[0]+1)
# count+=temp*dicti[i]
# def all_partitions(string):
# for cutpoints in range(1 << (len(string)-1)):
# result = []
# lastcut = 0
# for i in range(len(string)-1):
# if (1<<i) & cutpoints != 0:
# result.append(string[lastcut:(i+1)])
# lastcut = i+1
# result.append(string[lastcut:])
# yield result
# maxyet=0
# store={'h': -6, 'e': -7, 'l': -8, 'o': 3, 'he': 3, 'hel': -3, 'el': 0, 'hell': 6, 'ell': -5, 'll': 10, 'hello': -3, 'ello': -8, 'llo': 9, 'lo': -6}
# def quality(stri):
# return store[stri]
# for partition in all_partitions("hel"):
# temp=0
# for i in partition:
# temp+=quality(i)
# if(temp>maxyet):
# print(partition)
# maxyet=temp
# print(maxyet)
``` | output | 1 | 81,188 | 20 | 162,377 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,189 | 20 | 162,378 |
Tags: math
Correct Solution:
```
a, b = map(int, input().split())
mx = 0
for i in range(2, 36):
is_correct = True
for j in range(i, 10):
is_correct &= str(j) not in str(a)
is_correct &= str(j) not in str(b)
if is_correct:
res = int(str(a), i) + int(str(b), i)
k = 0
while res:
k += 1
res //= i
mx = max(mx, k)
print(mx)
``` | output | 1 | 81,189 | 20 | 162,379 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,190 | 20 | 162,380 |
Tags: math
Correct Solution:
```
from math import log, floor
a, b = input().rstrip().split()
m = max(len(a),len(b))
if a + b == "00":
print(1)
exit(0)
for i in reversed(range(1, 10)):
if str(i) in a + b:
if ((i + 1) ** m <= int(a, i + 1) + int(b, i + 1)):
print(m+1)
else:
print(m)
break
``` | output | 1 | 81,190 | 20 | 162,381 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,191 | 20 | 162,382 |
Tags: math
Correct Solution:
```
def maxLength(a, b):
base = 1 + max(int(c) for c in str(a) + str(b))
ret, c = 0, int(str(a), base) + int(str(b), base)
while c > 0:
ret += 1
c = c // base
return ret
def main():
a, b = [int(s) for s in input().split()]
print(maxLength(a, b))
if __name__ == '__main__':
main()
``` | output | 1 | 81,191 | 20 | 162,383 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,192 | 20 | 162,384 |
Tags: math
Correct Solution:
```
def parse_num(num, base):
ans = 0
for c in num:
ans = ans * base + int(c) % 10
# num //= 10
return ans
a, b = input().strip().split(" ")
ans = max(len(a), len(b))
base = -1
for c in a + b:
base = max(int(c), base)
base += 1
# print(parse_num(a, base))
# print(parse_num(b, base))
sum_ = parse_num(a, base) + parse_num(b, base)
# print(sum_)
counter = 0
while sum_:
# print(sum_)
counter += 1
sum_ //= base
print(counter)
``` | output | 1 | 81,192 | 20 | 162,385 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2 | instruction | 0 | 81,193 | 20 | 162,386 |
Tags: math
Correct Solution:
```
import sys
def digitsNum(x, base):
ret = 0
while x>0:
ret += 1
x //= base
return ret
n, m= sys.stdin.read().split()
base = int(max(max(n), max(m)))+1
n = int(n, base)
m = int(m, base)
print(digitsNum(n+m, base))
``` | output | 1 | 81,193 | 20 | 162,387 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
def any2dec(num_original,base_original):
num_original = str(num_original)
base_original = int(base_original)
dic = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']
dec = 0
dec_temp = list(num_original)
dec_temp.reverse()
for x,i in enumerate(dec_temp):
dec += dic.index(i) * base_original**(x)
return str(dec)
def dec2any(dec,base_final):
base_final = int(base_final)
dec = int(dec)
dic = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']
numero_final_temp = []
numero_final = ''
while True:
temp_numero_final = dec%base_final
numero_final_temp.append(temp_numero_final)
if int(dec/base_final) == 0:
break
dec = int(dec/base_final)
numero_final_temp.reverse()
for i in numero_final_temp:
numero_final += dic[i]
return numero_final
def main():
v = input().split()
a = [int(i) for i in list(v[0])]
b = [int(i) for i in list(v[1])]
base = max(max(a), max(b))+1
va = any2dec(v[0], base)
vb = any2dec(v[1], base)
ans = int(va)+int(vb)
print(len(dec2any(ans, base)))
main()
``` | instruction | 0 | 81,194 | 20 | 162,388 |
Yes | output | 1 | 81,194 | 20 | 162,389 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
def map2(r, b):
d = dict(zip([i for i in range(0,16)], list("0123456789ABCDEF")))
return(d[r])
def xb(x, b):
x = list(map(int, list(str(x))))[::-1]
ans = 0
for i, d in enumerate(x):
ans += d * b ** i
return ans
def xb2(x, b):
xinbase = str()
while x > 0:
remainder = x % b
x = x // b
xinbase += map2(remainder, b)
return(xinbase[::-1])
def encontrarbase(a, b):
return max(list(map(int, list(str(a) + str(b)))))
a, b = list(map(int, input().split()))
base = encontrarbase(a, b) + 1
x = xb2(xb(a, base) + xb(b, base), base)
print(len(x))
``` | instruction | 0 | 81,195 | 20 | 162,390 |
Yes | output | 1 | 81,195 | 20 | 162,391 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
a,b=input().split()
d='0'
y,z=len(a),len(b)
for i in range(y):
d=max(d,a[i])
for i in range(z):
d=max(d,b[i])
d=int(d)+1
c=0
for i in range(y):
c+=int(a[y-1-i])*(d**i)
for i in range(z):
c+=int(b[z-1-i])*(d**i)
e=0
while c>0:
e+=1
c//=d
print(e)
``` | instruction | 0 | 81,196 | 20 | 162,392 |
Yes | output | 1 | 81,196 | 20 | 162,393 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
a,b=map(int,input().split())
ta=a
tb=b
aa=0
bb=0
while a>0:
aa=max(aa,a%10)
a=a//10
while b>0:
bb=max(bb,b%10)
b=b//10
base=max(aa,bb)+1
ans=0
p=1
while ta>0:
a+=(p*(ta%10))
p*=base
ta=ta//10
p=1
while tb>0:
b+=(p*(tb%10))
p*=base
tb=tb//10
c=(a+b)
while c>0:
c=c//base
ans+=1
print(ans)
``` | instruction | 0 | 81,197 | 20 | 162,394 |
Yes | output | 1 | 81,197 | 20 | 162,395 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
def map2(r, b):
d = dict(zip([i for i in range(0,16)], list("0123456789ABCDEF")))
return(d[r])
def xb(x, b):
x = list(map(int, list(str(x))))[::-1]
ans = 0
for i, d in enumerate(x):
ans += d * b ** i
return ans
def xb2(x, b):
xinbase = str()
while x > 0:
remainder = x % b
x = x // b
xinbase += map2(remainder, b)
return(xinbase[::-1])
def encontrarbase(a, b):
return max(max(list(map(int, list(str(a)))), list(map(int, list(str(b))))))
a, b = list(map(int, input().split()))
base = encontrarbase(a, b) + 1
x = xb2(xb(a, base) + xb(b, base), base)
print(len(x))
``` | instruction | 0 | 81,198 | 20 | 162,396 |
No | output | 1 | 81,198 | 20 | 162,397 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
def base_10_to_n_(x, n):
if x//n:
return base_10_to_n_(int(x/n), n)+[x%n]
else:
return [x%n]
a, b = map(str, input().split())
p = 0
for c in a:
p = max(p, int(c))
for c in b:
p = max(p, int(c))
p += 1
x = int(a)+int(b)
x = base_10_to_n_(x, p)
print(len(x))
``` | instruction | 0 | 81,199 | 20 | 162,398 |
No | output | 1 | 81,199 | 20 | 162,399 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
#-------------------------------------------------------------------------------
# Name: Codeforces
# Author: Gogol2
#-------------------------------------------------------------------------------
def main():
x,y = map(int,input().split())
max_q = -1
z = x+y
while (x > 0):
max_q = max(max_q,x % 10)
x = x//10
while (y > 0):
max_q = max(max_q,y % 10)
y = y//10
max_q = max_q + 1
k = 0
while (z > 0):
k += 1
z = z // max_q
print(k)
if __name__ == '__main__':
main()
``` | instruction | 0 | 81,200 | 20 | 162,400 |
No | output | 1 | 81,200 | 20 | 162,401 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya studies positional numeral systems. Unfortunately, he often forgets to write the base of notation in which the expression is written. Once he saw a note in his notebook saying a + b = ?, and that the base of the positional notation wasn’t written anywhere. Now Vasya has to choose a base p and regard the expression as written in the base p positional notation. Vasya understood that he can get different results with different bases, and some bases are even invalid. For example, expression 78 + 87 in the base 16 positional notation is equal to FF16, in the base 15 positional notation it is equal to 11015, in the base 10 one — to 16510, in the base 9 one — to 1769, and in the base 8 or lesser-based positional notations the expression is invalid as all the numbers should be strictly less than the positional notation base. Vasya got interested in what is the length of the longest possible expression value. Help him to find this length.
The length of a number should be understood as the number of numeric characters in it. For example, the length of the longest answer for 78 + 87 = ? is 3. It is calculated like that in the base 15 (11015), base 10 (16510), base 9 (1769) positional notations, for example, and in some other ones.
Input
The first letter contains two space-separated numbers a and b (1 ≤ a, b ≤ 1000) which represent the given summands.
Output
Print a single number — the length of the longest answer.
Examples
Input
78 87
Output
3
Input
1 1
Output
2
Submitted Solution:
```
def f_base(n,b):
if n == 0:
return [0]
digits = []
while n:
digits.append(int(n%b))
n//=b
return digits[::-1]
# recibe un str
# retorna YES or NO si esta en la secuencia o caso contrario
def sum(inp):
s1 = inp
s1 = inp.split(" ")
s = inp.replace(" ","")
s = sorted(s)
base = int(s[-1]) + 1
a = int(s1[0])
b = int(s1[1])
lar_s = a + b
return len(f_base(lar_s,base))
def main():
inp = input()
print(sum(inp))
if __name__ == '__main__':
main()
``` | instruction | 0 | 81,201 | 20 | 162,402 |
No | output | 1 | 81,201 | 20 | 162,403 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,327 | 20 | 162,654 |
Tags: implementation
Correct Solution:
```
a = input()
b = input()
c = str(int(a) + int(b))
a = int(''.join(a.split('0')))
b = int(''.join(b.split('0')))
c = int(''.join(c.split('0')))
print('YES' if a + b == c else 'NO')
``` | output | 1 | 81,327 | 20 | 162,655 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,328 | 20 | 162,656 |
Tags: implementation
Correct Solution:
```
def t(s):
aux=''
for letter in s:
if letter!='0':
aux=aux+letter
return int(aux)
a=input()
b=input()
cc=int(a)+int(b)
cc=t(str(cc))
c=t(a)+t(b)
if c==cc:
print('YES')
else:
print('NO')
#print(c)
#print(cc)
``` | output | 1 | 81,328 | 20 | 162,657 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,329 | 20 | 162,658 |
Tags: implementation
Correct Solution:
```
a = input()
b = input()
c = int(a) + int(b)
firstStr = ''
for num in a:
if num != '0':
firstStr += num
secondStr = ''
for num in b:
if num != '0':
secondStr+= num
strC = str(c)
thirdStr = ''
for num in strC:
if num!= '0':
thirdStr += num
if a == '0' or b == '0':
print("YES")
exit(0)
if (int(firstStr)+int(secondStr)) == int(thirdStr):
print("YES")
exit(0)
print("NO")
``` | output | 1 | 81,329 | 20 | 162,659 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,330 | 20 | 162,660 |
Tags: implementation
Correct Solution:
```
a=int(input())
b=int(input())
c=(a+b)
x=""
a1=""
b1=""
for i in (str(c)):
if i!="0":
x=x+i
x=int(x)
for i in str(a):
if i!="0":
a1=a1+i
a1=int(a1)
for i in str(b):
if i!="0":
b1=b1+i
b1=int(b1)
z=a1+b1
if x==z:
print("YES")
else:
print("NO")
``` | output | 1 | 81,330 | 20 | 162,661 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,331 | 20 | 162,662 |
Tags: implementation
Correct Solution:
```
def noZero(s):
q=''
for i in range(len(s)):
if s[i] !='0':
q+=s[i]
return q
a = input()
b=input()
c=str(int(a)+int(b))
t = noZero(a)
t1=noZero(b)
t2=noZero(c)
if int(t)+int(t1)==int(t2):
print('YES')
else:
print('NO')
``` | output | 1 | 81,331 | 20 | 162,663 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,332 | 20 | 162,664 |
Tags: implementation
Correct Solution:
```
a=input()
b=input()
e=list(a)
f=list(b)
c=int(a)+int(b)
d=a.count('0')
g=b.count('0')
h=str(c)
x=list(h)
y=x.count('0')
if(d!=0):
for i in range(d):
e.remove('0')
if(g!=0):
for i in range(g):
f.remove('0')
if(y!=0):
for i in range(y):
x.remove('0')
A=''.join(e)
B=''.join(f)
C=''.join(x)
if((int(A)+int(B))==int(C)):
print('YES')
else:
print('NO')
``` | output | 1 | 81,332 | 20 | 162,665 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,333 | 20 | 162,666 |
Tags: implementation
Correct Solution:
```
a = input()
b = input()
na = int(a)
nb = int(b)
nc = na + nb
nc = str(nc)
nc = nc.replace("0" , "")
a = a.replace("0" , "")
b = b.replace("0" , "")
la = int(a)
lb = int(b)
lc = la + lb
lc = str(lc)
if(lc == nc):
print("YES")
else:
print("NO")
``` | output | 1 | 81,333 | 20 | 162,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a + b = c, where a and b are positive integers, and c is the sum of a and b. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101 + 102 = 203, if we removed all zeros it will be 11 + 12 = 23 which is still a correct equation.
But if the equation is 105 + 106 = 211, if we removed all zeros it will be 15 + 16 = 211 which is not a correct equation.
Input
The input will consist of two lines, the first line will contain the integer a, and the second line will contain the integer b which are in the equation as described above (1 ≤ a, b ≤ 109). There won't be any leading zeros in both. The value of c should be calculated as c = a + b.
Output
The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise.
Examples
Input
101
102
Output
YES
Input
105
106
Output
NO | instruction | 0 | 81,334 | 20 | 162,668 |
Tags: implementation
Correct Solution:
```
first = input()
second = input()
nz_first = int(first.replace('0', ''))
nz_second = int(second.replace('0', ''))
first = int(first)
second = int(second)
result = int(str(first + second).replace('0', ''))
if result == nz_first + nz_second:
print("YES")
else:
print("NO")
``` | output | 1 | 81,334 | 20 | 162,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839 | instruction | 0 | 81,404 | 20 | 162,808 |
Tags: greedy, implementation
Correct Solution:
```
'''
Auther: ghoshashis545 Ashis Ghosh
College: Jalpaiguri Govt Enggineering College
'''
from os import path
from io import BytesIO, IOBase
import sys
from heapq import heappush,heappop
from functools import cmp_to_key as ctk
from collections import deque,Counter,defaultdict as dd
from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
from itertools import permutations
from datetime import datetime
from math import ceil,sqrt,log,gcd
def ii():return int(input())
def si():return input().rstrip()
def mi():return map(int,input().split())
def li():return list(mi())
abc='abcdefghijklmnopqrstuvwxyz'
mod=1000000007
#mod=998244353
inf = float("inf")
vow=['a','e','i','o','u']
dx,dy=[-1,1,0,0],[0,0,1,-1]
def bo(i):
return ord(i)-ord('0')
file = 1
def ceil(a,b):
return (a+b-1)//b
def solve():
for _ in range(1,ii()+1):
s = si()
n = len(s)
x = [0]*10
for i in s:
x[bo(i)]+=1
def check(c9):
cnt = 0
c = 0
for i in range(10):
if x[i]&1:
cnt += 1
c += (x[i]%2)
c %= 2
c += (c9&1)
c %= 2
if c==0 and cnt > c9:
return 0
if c==1 and cnt > (c9+1):
return 0
return 1
ok = False
last = -1
for i in range(n-1,-1,-1):
x[bo(s[i])]-=1
for j in range(bo(s[i])-1,-1,-1):
x[j]+=1
if check(n-i-1):
ok = True
if i == 0 and j == 0:
n-=1
if n%2 == 0:
x = n
else:
x = n-1
res = '9'*x
else:
c = chr(48 + j)
res = s[:i] + c + '9'*(n-i-1)
last = i
break
x[j]-=1
if ok:
break
n = len(res)
x = [0]*10
for i in range(last+1):
x[bo(res[i])]+=1
p = []
for i in range(10):
if x[i]&1:
p.append(i)
if len(p) > 0:
if n&1:
x = str(p[-1])
p.pop()
r = len(res)-1
res = list(res)
for j in p:
res[r] = str(j)
r-=1
res = "".join(res)
for j in range(len(res)):
if res[j] == x:
print(res[:j] + res[(j+1):])
break
print(res)
if __name__ =="__main__":
if(file):
if path.exists('input.txt'):
sys.stdin=open('input.txt', 'r')
sys.stdout=open('output.txt','w')
else:
input=sys.stdin.readline
solve()
``` | output | 1 | 81,404 | 20 | 162,809 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839 | instruction | 0 | 81,405 | 20 | 162,810 |
Tags: greedy, implementation
Correct Solution:
```
import sys
t = int(sys.stdin.buffer.readline().decode('utf-8'))
ans = ['']*t
for _ in range(t):
a = list(map(int, sys.stdin.buffer.readline().decode('utf-8').rstrip()))
n = len(a)
parity = [0]*10
for x in a:
parity[x] ^= 1
psum = sum(parity)
for i, free in zip(range(n-1, -1, -1), range(n)):
psum += -1 if parity[a[i]] else 1
parity[a[i]] ^= 1
for j in range(a[i]-1, -1, -1):
if psum + (-1 if parity[j] else 1) - free <= 0:
if i == 0 and j == 0:
ans[_] = '9'*(n-2)
break
parity[j] ^= 1
a[i] = j
for k in range(n-1, i, -1):
for l in range(10):
if parity[l]:
a[k] = l
parity[l] = 0
break
else:
a[k] = 9
ans[_] = ''.join(map(str, a))
break
else:
continue
break
sys.stdout.buffer.write('\n'.join(ans).encode('utf-8'))
``` | output | 1 | 81,405 | 20 | 162,811 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839
Submitted Solution:
```
t=int(input())
while t>0:
t=t-1
n=int(input())
while n>0:
n=n-1
c=0
if len(str(n))%2==0:
s=str(n)
for i in range(len(s)//2):
s1=s[i+1:]
if s[i] in s1:
c=c+1
if c==len(s)//2:
print(n)
break
``` | instruction | 0 | 81,406 | 20 | 162,812 |
No | output | 1 | 81,406 | 20 | 162,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839
Submitted Solution:
```
n = int(input())
def haspalindrome(n):
n = str(n)
counts = [0 for _ in range(10)]
for i in n:
counts[ord(i) - ord('0')] += 1
for i in counts:
if i % 2 == 1:
return False
return True
for _ in range(n):
s = int(input())
while True:
if haspalindrome(s):
print(s)
break
s -= 1
if len(str(s)) % 2 == 1:
s = 10**(len(str(s)) - 1)
s -= 1
``` | instruction | 0 | 81,407 | 20 | 162,814 |
No | output | 1 | 81,407 | 20 | 162,815 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839
Submitted Solution:
```
def bitcount(x):
res=0
while x:
res+=x&1
x>>=1
return res
for Z in range(int(input())):
s,f=input(),True
for i in range(1,len(s)):
if s[i]!='0':
f=False
break
if f and s[0]=='1':
print('9'*(len(s)-2))
continue
if f:
print(chr(ord(s[0])-1),'9'*(len(s)-2),chr(ord(s[0])-1),sep='')
continue
c=0
for i in s:c^=1<<(ord(i)-48)
for i in range(len(s)-1,-1,-1):
c^=1<<(ord(s[i])-48)
if f:break
for j in range(ord(s[i])-1,48,-1):
c^=1<<(j-48)
if bitcount(c)<=len(s)-1-i:
t=''
for k in range(ord('0'),ord('9')+1):
if c&(1<<(k-48)):t=chr(k)+t
print(s[:i],chr(j),'9'*(len(s)-i-1-len(t)),t,sep='')
f=1
break
c^=1<<(j-48)
``` | instruction | 0 | 81,408 | 20 | 162,816 |
No | output | 1 | 81,408 | 20 | 162,817 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Yes, that's another problem with definition of "beautiful" numbers.
Let's call a positive integer x beautiful if its decimal representation without leading zeroes contains even number of digits, and there exists a permutation of this representation which is palindromic. For example, 4242 is a beautiful number, since it contains 4 digits, and there exists a palindromic permutation 2442.
Given a positive integer s, find the largest beautiful number which is less than s.
Input
The first line contains one integer t (1 ≤ t ≤ 105) — the number of testcases you have to solve.
Then t lines follow, each representing one testcase and containing one string which is the decimal representation of number s. It is guaranteed that this string has even length, contains no leading zeroes, and there exists at least one beautiful number less than s.
The sum of lengths of s over all testcases doesn't exceed 2·105.
Output
For each testcase print one line containing the largest beautiful number which is less than s (it is guaranteed that the answer exists).
Example
Input
4
89
88
1000
28923845
Output
88
77
99
28923839
Submitted Solution:
```
from itertools import permutations
n = int(input())
def isPal(a):
return a == a[::-1]
def getBNumber(n):
for j in range(n-1, 1, -1):
for perm in permutations(str(j)):
if isPal(perm):
return j
for i in range(n):
n = int(input())
print(getBNumber(n))
``` | instruction | 0 | 81,409 | 20 | 162,818 |
No | output | 1 | 81,409 | 20 | 162,819 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,602 | 20 | 163,204 |
"Correct Solution:
```
import sys,re
print(sum([sum(map(int,re.findall(r"[0-9]{1,5}",i))) for i in [j for j in sys.stdin]]))
``` | output | 1 | 81,602 | 20 | 163,205 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,603 | 20 | 163,206 |
"Correct Solution:
```
import re
sn = 0
while True:
try:
s = input().strip()
except EOFError:
break
sn += sum(map(int, re.findall('\d+', s)))
print(sn)
``` | output | 1 | 81,603 | 20 | 163,207 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,604 | 20 | 163,208 |
"Correct Solution:
```
ans = 0
while True:
try:
S = input()
except EOFError:
break
cnt = 0
for i in S:
if i.isdigit():
cnt = cnt * 10 + int(i)
else:
ans += cnt
cnt = 0
ans += cnt
print(ans)
``` | output | 1 | 81,604 | 20 | 163,209 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,605 | 20 | 163,210 |
"Correct Solution:
```
import re
try:
result = 0
while True:
for s in re.findall(r'\d+', input()):
result += int(s)
except:
print(result)
``` | output | 1 | 81,605 | 20 | 163,211 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,606 | 20 | 163,212 |
"Correct Solution:
```
import re
a=0
while True:
try:
s=str(input())
except EOFError:
break
for i in re.findall("[0-9]+",s):
a+=int(i)
print(a)
``` | output | 1 | 81,606 | 20 | 163,213 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,607 | 20 | 163,214 |
"Correct Solution:
```
ans = 0
while True:
try:
s = list(input())
numlst = []
anslst = []
for num, i in enumerate(s):
try:
k = int(i)
numlst.append(num)
except:
pass
for i in range(len(numlst)-1):
if numlst[i+1] - numlst[i] == 1:
s[numlst[i+1]] = s[numlst[i]] + s[numlst[i+1]]
else:
anslst.append(numlst[i])
if numlst !=[]:
anslst.append(numlst[-1])
for i in anslst:
ans = ans + int(s[i])
except EOFError:
break
print(ans)
``` | output | 1 | 81,607 | 20 | 163,215 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,608 | 20 | 163,216 |
"Correct Solution:
```
import re
lst=0
try:
while True:
x=input()
for i in re.findall(r'\d+',x):
lst+=int(i)
except:
print(lst)
``` | output | 1 | 81,608 | 20 | 163,217 |
Provide a correct Python 3 solution for this coding contest problem.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123 | instruction | 0 | 81,609 | 20 | 163,218 |
"Correct Solution:
```
# AOJ 0064: Secret Number
# Python3 2018.6.20 bal4u
import re
ans = 0
while True:
try: s = input()
except: break
for i in re.findall("[0-9]+", s): ans += int(i)
print(ans)
``` | output | 1 | 81,609 | 20 | 163,219 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
import re
S=[]
while True:
try:
n = input()
except EOFError:
break
num = re.findall(r"\d+", n)
num = [int(i) for i in num]
s = sum(num)
S.append(s)
print(sum(S))
``` | instruction | 0 | 81,610 | 20 | 163,220 |
Yes | output | 1 | 81,610 | 20 | 163,221 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
import re
ans = 0
while 1:
try:
a = input()
num = re.findall("[0-9]+",a)
for i in range(len(num)):
ans += int(num[i])
except:
print(ans)
break
``` | instruction | 0 | 81,611 | 20 | 163,222 |
Yes | output | 1 | 81,611 | 20 | 163,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
ans = 0
while True:
try:
a = input()
except EOFError:
break
cnt = 0
for i in a:
if i.isdigit():
cnt = cnt * 10 + int(i)
else:
ans += cnt
cnt = 0
ans += cnt
print(ans)
``` | instruction | 0 | 81,612 | 20 | 163,224 |
Yes | output | 1 | 81,612 | 20 | 163,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
import re
a = 0
while 1:
try:
n = input()
except:
break
for i in re.findall('[0-9]+',n):
a += int(i)
print(a)
``` | instruction | 0 | 81,613 | 20 | 163,226 |
Yes | output | 1 | 81,613 | 20 | 163,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
ans = ""
while True:
try:
memo = input()
except:
break
for m in memo:
if m.isdigit()==True:
ans = ans+m
else:
ans = ans+"???"
ans=ans.split()
ans=sum(map(int,ans))
print(ans)
``` | instruction | 0 | 81,614 | 20 | 163,228 |
No | output | 1 | 81,614 | 20 | 163,229 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
import sys
memo = [line.strip() for line in sys.stdin]
at = ""
for i in len(memo):
for j in len(memo[i]):
if not memo[i][j].isdigit():
at += "@"
else:
at += str(memo[i][j])
print(sum(at.replace("@", " ").split()))
``` | instruction | 0 | 81,615 | 20 | 163,230 |
No | output | 1 | 81,615 | 20 | 163,231 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
numbers = ["0","1","2","3","4","5","6","7","8","9"]
a = 0
while True:
try:
l = [s for s in input()]
except:
break
b = 0
for s in l:
if s in numbers:
b *= 10
b += int(s)
else:
if b != 0:
a += b
b = 0
print(a)
``` | instruction | 0 | 81,616 | 20 | 163,232 |
No | output | 1 | 81,616 | 20 | 163,233 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The new PIN is hard to remember. I was told that I shouldn't take notes, but I don't think I can remember them. Therefore, I decided to embed a numerical value in the text and make a note of the PIN. Here, the sum of all the numbers is the PIN.
Create a program that reads the memorandum and outputs the PIN code.
Input
Sentences with embedded positive integers are given over multiple lines. Each line is a character string containing single-byte alphanumeric characters, symbols, and spaces, or a blank line. However, you are guaranteed to enter no more than 80 characters per line and a PIN of 10,000 or less.
Output
The PIN (the sum of positive integers in the text) is output on one line.
Example
Input
Thereare100yenonthetable.Iam17yearsold.
Ishouldgohomeat6pm.
Output
123
Submitted Solution:
```
nums = list("0123456789")
res = 0
while True:
try:
cc = list(input())
if not len(cc):
break
except:
break
s = 0
t = []
for c in cc:
if c in nums:
t.append(c)
else:
if t != []:
s += int("".join(t))
t = []
if t != []:
s += int("".join(t))
res += s
print(res)
``` | instruction | 0 | 81,617 | 20 | 163,234 |
No | output | 1 | 81,617 | 20 | 163,235 |
Provide a correct Python 3 solution for this coding contest problem.
Floating-Point Numbers
In this problem, we consider floating-point number formats, data representation formats to approximate real numbers on computers.
Scientific notation is a method to express a number, frequently used for numbers too large or too small to be written tersely in usual decimal form. In scientific notation, all numbers are written in the form m × 10e. Here, m (called significand) is a number greater than or equal to 1 and less than 10, and e (called exponent) is an integer. For example, a number 13.5 is equal to 1.35 × 101, so we can express it in scientific notation with significand 1.35 and exponent 1.
As binary number representation is convenient on computers, let's consider binary scientific notation with base two, instead of ten. In binary scientific notation, all numbers are written in the form m × 2e. Since the base is two, m is limited to be less than 2. For example, 13.5 is equal to 1.6875 × 23, so we can express it in binary scientific notation with significand 1.6875 and exponent 3. The significand 1.6875 is equal to 1 + 1/2 + 1/8 + 1/16, which is 1.10112 in binary notation. Similarly, the exponent 3 can be expressed as 112 in binary notation.
A floating-point number expresses a number in binary scientific notation in finite number of bits. Although the accuracy of the significand and the range of the exponent are limited by the number of bits, we can express numbers in a wide range with reasonably high accuracy.
In this problem, we consider a 64-bit floating-point number format, simplified from one actually used widely, in which only those numbers greater than or equal to 1 can be expressed. Here, the first 12 bits are used for the exponent and the remaining 52 bits for the significand. Let's denote the 64 bits of a floating-point number by b64...b1. With e an unsigned binary integer (b64...b53)2, and with m a binary fraction represented by the remaining 52 bits plus one (1.b52...b1)2, the floating-point number represents the number m × 2e.
We show below the bit string of the representation of 13.5 in the format described above.
<image>
In floating-point addition operations, the results have to be approximated by numbers representable in floating-point format. Here, we assume that the approximation is by truncation. When the sum of two floating-point numbers a and b is expressed in binary scientific notation as a + b = m × 2e (1 ≤ m < 2, 0 ≤ e < 212), the result of addition operation on them will be a floating-point number with its first 12 bits representing e as an unsigned integer and the remaining 52 bits representing the first 52 bits of the binary fraction of m.
A disadvantage of this approximation method is that the approximation error accumulates easily. To verify this, let's make an experiment of adding a floating-point number many times, as in the pseudocode shown below. Here, s and a are floating-point numbers, and the results of individual addition are approximated as described above.
s := a
for n times {
s := s + a
}
For a given floating-point number a and a number of repetitions n, compute the bits of the floating-point number s when the above pseudocode finishes.
Input
The input consists of at most 1000 datasets, each in the following format.
> n
> b52...b1
>
n is the number of repetitions. (1 ≤ n ≤ 1018) For each i, bi is either 0 or 1. As for the floating-point number a in the pseudocode, the exponent is 0 and the significand is b52...b1.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, the 64 bits of the floating-point number s after finishing the pseudocode should be output as a sequence of 64 digits, each being `0` or `1` in one line.
Sample Input
1
0000000000000000000000000000000000000000000000000000
2
0000000000000000000000000000000000000000000000000000
3
0000000000000000000000000000000000000000000000000000
4
0000000000000000000000000000000000000000000000000000
7
1101000000000000000000000000000000000000000000000000
100
1100011010100001100111100101000111001001111100101011
123456789
1010101010101010101010101010101010101010101010101010
1000000000000000000
1111111111111111111111111111111111111111111111111111
0
Output for the Sample Input
0000000000010000000000000000000000000000000000000000000000000000
0000000000011000000000000000000000000000000000000000000000000000
0000000000100000000000000000000000000000000000000000000000000000
0000000000100100000000000000000000000000000000000000000000000000
0000000000111101000000000000000000000000000000000000000000000000
0000000001110110011010111011100001101110110010001001010101111111
0000000110111000100001110101011001000111100001010011110101011000
0000001101010000000000000000000000000000000000000000000000000000
Example
Input
1
0000000000000000000000000000000000000000000000000000
2
0000000000000000000000000000000000000000000000000000
3
0000000000000000000000000000000000000000000000000000
4
0000000000000000000000000000000000000000000000000000
7
1101000000000000000000000000000000000000000000000000
100
1100011010100001100111100101000111001001111100101011
123456789
1010101010101010101010101010101010101010101010101010
1000000000000000000
1111111111111111111111111111111111111111111111111111
0
Output
0000000000010000000000000000000000000000000000000000000000000000
0000000000011000000000000000000000000000000000000000000000000000
0000000000100000000000000000000000000000000000000000000000000000
0000000000100100000000000000000000000000000000000000000000000000
0000000000111101000000000000000000000000000000000000000000000000
0000000001110110011010111011100001101110110010001001010101111111
0000000110111000100001110101011001000111100001010011110101011000
0000001101010000000000000000000000000000000000000000000000000000 | instruction | 0 | 81,659 | 20 | 163,318 |
"Correct Solution:
```
ans = []
while 1:
N = int(input())
if N == 0:
break
B = int("1" + input(), 2)
bd = 1 << 53
su = B
ep = 0
while B:
k = (bd - su + B - 1) // B
if N < k:
su += N*B
break
su += k*B
N -= k
ep += 1
B >>= 1
su >>= 1
ans.append(format(ep, '012b') + format(su ^ (1 << 52), '052b'))
print(*ans, sep='\n')
``` | output | 1 | 81,659 | 20 | 163,319 |
Provide a correct Python 3 solution for this coding contest problem.
Floating-Point Numbers
In this problem, we consider floating-point number formats, data representation formats to approximate real numbers on computers.
Scientific notation is a method to express a number, frequently used for numbers too large or too small to be written tersely in usual decimal form. In scientific notation, all numbers are written in the form m × 10e. Here, m (called significand) is a number greater than or equal to 1 and less than 10, and e (called exponent) is an integer. For example, a number 13.5 is equal to 1.35 × 101, so we can express it in scientific notation with significand 1.35 and exponent 1.
As binary number representation is convenient on computers, let's consider binary scientific notation with base two, instead of ten. In binary scientific notation, all numbers are written in the form m × 2e. Since the base is two, m is limited to be less than 2. For example, 13.5 is equal to 1.6875 × 23, so we can express it in binary scientific notation with significand 1.6875 and exponent 3. The significand 1.6875 is equal to 1 + 1/2 + 1/8 + 1/16, which is 1.10112 in binary notation. Similarly, the exponent 3 can be expressed as 112 in binary notation.
A floating-point number expresses a number in binary scientific notation in finite number of bits. Although the accuracy of the significand and the range of the exponent are limited by the number of bits, we can express numbers in a wide range with reasonably high accuracy.
In this problem, we consider a 64-bit floating-point number format, simplified from one actually used widely, in which only those numbers greater than or equal to 1 can be expressed. Here, the first 12 bits are used for the exponent and the remaining 52 bits for the significand. Let's denote the 64 bits of a floating-point number by b64...b1. With e an unsigned binary integer (b64...b53)2, and with m a binary fraction represented by the remaining 52 bits plus one (1.b52...b1)2, the floating-point number represents the number m × 2e.
We show below the bit string of the representation of 13.5 in the format described above.
<image>
In floating-point addition operations, the results have to be approximated by numbers representable in floating-point format. Here, we assume that the approximation is by truncation. When the sum of two floating-point numbers a and b is expressed in binary scientific notation as a + b = m × 2e (1 ≤ m < 2, 0 ≤ e < 212), the result of addition operation on them will be a floating-point number with its first 12 bits representing e as an unsigned integer and the remaining 52 bits representing the first 52 bits of the binary fraction of m.
A disadvantage of this approximation method is that the approximation error accumulates easily. To verify this, let's make an experiment of adding a floating-point number many times, as in the pseudocode shown below. Here, s and a are floating-point numbers, and the results of individual addition are approximated as described above.
s := a
for n times {
s := s + a
}
For a given floating-point number a and a number of repetitions n, compute the bits of the floating-point number s when the above pseudocode finishes.
Input
The input consists of at most 1000 datasets, each in the following format.
> n
> b52...b1
>
n is the number of repetitions. (1 ≤ n ≤ 1018) For each i, bi is either 0 or 1. As for the floating-point number a in the pseudocode, the exponent is 0 and the significand is b52...b1.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, the 64 bits of the floating-point number s after finishing the pseudocode should be output as a sequence of 64 digits, each being `0` or `1` in one line.
Sample Input
1
0000000000000000000000000000000000000000000000000000
2
0000000000000000000000000000000000000000000000000000
3
0000000000000000000000000000000000000000000000000000
4
0000000000000000000000000000000000000000000000000000
7
1101000000000000000000000000000000000000000000000000
100
1100011010100001100111100101000111001001111100101011
123456789
1010101010101010101010101010101010101010101010101010
1000000000000000000
1111111111111111111111111111111111111111111111111111
0
Output for the Sample Input
0000000000010000000000000000000000000000000000000000000000000000
0000000000011000000000000000000000000000000000000000000000000000
0000000000100000000000000000000000000000000000000000000000000000
0000000000100100000000000000000000000000000000000000000000000000
0000000000111101000000000000000000000000000000000000000000000000
0000000001110110011010111011100001101110110010001001010101111111
0000000110111000100001110101011001000111100001010011110101011000
0000001101010000000000000000000000000000000000000000000000000000
Example
Input
1
0000000000000000000000000000000000000000000000000000
2
0000000000000000000000000000000000000000000000000000
3
0000000000000000000000000000000000000000000000000000
4
0000000000000000000000000000000000000000000000000000
7
1101000000000000000000000000000000000000000000000000
100
1100011010100001100111100101000111001001111100101011
123456789
1010101010101010101010101010101010101010101010101010
1000000000000000000
1111111111111111111111111111111111111111111111111111
0
Output
0000000000010000000000000000000000000000000000000000000000000000
0000000000011000000000000000000000000000000000000000000000000000
0000000000100000000000000000000000000000000000000000000000000000
0000000000100100000000000000000000000000000000000000000000000000
0000000000111101000000000000000000000000000000000000000000000000
0000000001110110011010111011100001101110110010001001010101111111
0000000110111000100001110101011001000111100001010011110101011000
0000001101010000000000000000000000000000000000000000000000000000 | instruction | 0 | 81,660 | 20 | 163,320 |
"Correct Solution:
```
import math
import sys
ma = 1<<53 #53ビット表現限界
while 1:
n = int(sys.stdin.readline())
if n == 0:
break
s = list(sys.stdin.readline()[:-1])
"""aを先頭の1を含む53ビットとして保存"""
a = 1
for i in range(52):
a <<= 1
a += int(s[i])
ans = a
e = 0
"""「切り下げながら足し算」→「aを適時右シフトしながら和を取る」を利用"""
while n:
if a == 0: #aを右シフトしていった結果が0となったら終了
break
k = math.ceil((ma-ans)/a) #ans+ak >= maを満たす最小の整数、これ以上を足すと桁が増える
if n < k: #もしkがnより大きかったら桁は増えないので普通に加算して終了
ans += a*n
break
ans += a*k
"""以下桁が増えた時の処理、ansを右シフトして、53ビットに収める。指数部をインクリメント、桁が1増えたためaを1つ右シフト"""
ans >>= 1
e += 1
a >>= 1
""""""
n -= k #nをk回分減少させる
e = list(bin(e)[2:])
for i in range(12-len(e)):
e.insert(0,0)
ans = list(bin(ans)[3:]) #最初の1を忘れずに削る
for i in range(52-len(ans)):
ans.insert(0,0)
for i in e+ans:
print(i,end = "")
print()
``` | output | 1 | 81,660 | 20 | 163,321 |
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