text stringlengths 594 23.8k | conversation_id int64 97 109k | embedding list | cluster int64 0 0 |
|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Tags: constructive algorithms, dp, graphs, greedy, sortings
Correct Solution:
```
n=int(input())
s=input()
rama=[]
for i in range(n):
rama.append(ord(s[i])-96)
visit=[1 for i in range(27)]
a=[]
maxi=0
for i in range(n):
p=visit[rama[i]]
a.append(p)
maxi=max(maxi,p)
for j in range(rama[i]):
visit[j]=max(visit[j],p+1)
print(maxi)
for i in a:
print(i,end=' ')
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
# -*- coding: utf-8 -*-
import sys
def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
# sys.setrecursionlimit(10 ** 9)
INF = 10 ** 18
MOD = 10 ** 9 + 7
def bisearch_min(mn, mx, func):
ok = mx
ng = mn
while ng+1 < ok:
mid = (ok+ng) // 2
if func(mid):
ok = mid
else:
ng = mid
return ok
def check(m):
if m == len(B):
return True
if B[m][-1][0] <= a:
return True
else:
return False
N = INT()
A = [ord(c)-97 for c in input()]
B = [[] for i in range(1)]
B[0].append((A[0], 0))
for i, a in enumerate(A[1:], 1):
idx = bisearch_min(-1, len(B), check)
if idx == len(B):
B.append([(a, i)])
else:
B[idx].append((a, i))
ans = [0] * N
for a, li in enumerate(B):
for _, idx in li:
ans[idx] = str(a)
if len(B) <= 2:
YES()
print(''.join(ans))
else:
NO()
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
n = int(input())
s = input()
g = {}
for i in range(len(s)):
g[i] = []
for i in range(len(s)):
for j in range(i):
if s[j] > s[i]:
g[i].append(j)
g[j].append(i)
colored = [False] * len(s)
color = [None] * len(s)
def brush(v, c):
colored[v] = True
color[v] = c
for n in g[v]:
if colored[n]:
if color[n] == c:
return False
else:
if not brush(n, c ^ 1):
return False
return True
failed = False
for i in range(len(s)):
if not colored[i]:
if not brush(i, 0):
failed = True
break
if failed:
print ('NO')
else:
print ('YES')
print (''.join( map(lambda i: '1' if color[i] == 1 else '0', range(len(s))) ))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
import io
import os
from collections import Counter, defaultdict, deque
def solve(N, S):
# Same color must be already sorted since they can't be swapped with each other
# Greedily build increasing subsequences
indices = [[0]]
# last value -> which list
for i, x in enumerate(S[1:], 1):
for l in indices:
if S[l[-1]] <= x:
l.append(i)
break
else:
indices.append([i])
ans = [None for i in range(N)]
for color, l in enumerate(indices):
for i in l:
ans[i] = color
# Format for E1
if len(indices) <= 2:
return "YES\n" + "".join(map(str, ans))
else:
return 'NO'
# Format for E2
possible = str(len(indices))
return possible + "\n" + " ".join(str(x + 1) for x in ans)
if __name__ == "__main__":
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
(N,) = [int(x) for x in input().split()]
S = input().decode().rstrip()
ans = solve(N, S)
print(ans)
```
Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
def find(x):
r = x
while r != f[r]:
r = f[r]
while x != r:
pre = f[x]
f[x] = r
x = pre
return r
a = input()
n = int(a)
a = input()
str = list(a)
id = [0] * n
f = [0] * 2 * n
name = [0] * 2 * n
for i in range(n):
id[i] = i
for i in range(2 * n):
f[i] = i
name[i] = -1
Find = 0
for i in range(n):
if Find:
break
for j in range(n - i - 1):
if str[j] > str[j + 1]:
str[j], str[j + 1] = str[j + 1], str[j]
id[j], id[j + 1] = id[j + 1], id[j]
fx = find(id[j])
fnx = find(id[j] + n)
fy = find(id[j + 1])
fny = find(id[j + 1] + n)
if fx == fy or fnx == fny:
Find = 1
break
else:
f[fx] = fny
f[fy] = fnx
if Find:
print('NO')
else:
print('YES')
for i in range(n):
fx = find(i)
if name[fx] < 0:
name[fx] = 0
if(fx >= n):
name[find(fx - n)] = 1
else:
name[find(fx + n)] = 1
print('{:d}'.format(name[fx]), end = '')
```
Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
import math
import sys
from collections import defaultdict
def stdinWrapper():
data = '''8
aaabbcbb
'''
for line in data.split('\n'):
yield line
if '--debug' not in sys.argv:
def stdinWrapper():
while True:
yield input()
inputs = stdinWrapper()
def inputWrapper():
return next(inputs)
def getType(_type):
return _type(inputWrapper())
def getArray(_type):
return [_type(x) for x in inputWrapper().split()]
''' Solution '''
l = getType(int)
_str = getType(str)
dp = [1] * l
maxdp = [0] * 26
dp = [1] * len(_str)
p = [-1] * len(_str)
for i in range(1, len(_str)):
for c in range(ord(_str[i])-ord('a')+1, 26):
dp[i] = max(dp[i], maxdp[c]+1)
maxdp[ord(_str[i]) - ord('a')] = max(dp[i], maxdp[ord(_str[i]) - ord('a')])
pos = -1
_max = 0
for i in range(len(_str)):
if dp[i] > _max:
_max = dp[i]
pos = i
result = []
while True:
if pos == -1:
break
result.append(_str[pos])
pos = p[pos]
print(max(dp))
print(' '.join([str(x) for x in dp]))
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
import sys
import math
from collections import defaultdict,Counter
# input=sys.stdin.readline
# def print(x):
# sys.stdout.write(str(x)+"\n")
# sys.stdout=open("CP1/output.txt",'w')
# sys.stdin=open("CP1/input.txt",'r')
# m=pow(10,9)+7
n=int(input())
s=list(input())
s2=s[:]
s1=sorted(s)
c=[0]*n
# c1=[0]*n
for j in range(1,n):
if s[j]<s[j-1]:
c[j]=1-c[j-1]
# c1[j]=1-c1[j-1]
elif s[j]==s[j-1]:
c[j]=c[j-1]
c2=''.join(list(map(str,c)))
flag=0
# print(c)
while s!=s1:
for j in range(1,n):
if s[j]<s[j-1]:
if c[j]!=c[j-1]:
c[j],c[j-1]=c[j-1],c[j]
s[j],s[j-1]=s[j-1],s[j]
else:
flag=1
break
if flag==1:
break
# for j in range(1,n):
# if s[j]<s[j-1]:
# c[j]=1-c[j-1]
# else:
# c[j]=c[j-1]
# print(s)
# print(c)
if flag==0:
print("YES")
print(c2)
else:
print("NO")
# else:
# flag=0
# c2=''.join(list(map(str,c1)))
# # c2=c1[:]
# s=s2[:]
# while s!=s1:
# for j in range(1,n):
# if s[j]<s[j-1]:
# if c1[j]!=c1[j-1]:
# c1[j],c1[j-1]=c1[j-1],c1[j]
# s[j],s[j-1]=s[j-1],s[j]
# else:
# flag=1
# break
# if flag==1:
# break
# if flag==0:
# print("YES")
# print(c2)
# else:
# print("NO")
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
from sys import stdin, stdout
def main():
n = int(stdin.readline())
s = stdin.readline().rstrip()
h1 = 'A'
h2 = 'B'
res = []
for i,x in enumerate(s):
if i == 0:
res.append("0")
h1 = s[i]
continue
if s[i] < h1 and s[i] < h2:
stdout.write("NO")
return
if s[i] > h1:
h2 = 'B'
h1 = s[i]
res.append("0")
elif s[i] > h2:
h2 = s[i]
res.append("1")
else:
res.append("1")
stdout.write("YES\n" + "".join(res))
main()
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different.
You are given a string s consisting of n lowercase Latin letters.
You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s).
After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times.
The goal is to make the string sorted, i.e. all characters should be in alphabetical order.
Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s.
The second line of the input contains the string s consisting of exactly n lowercase Latin letters.
Output
If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line.
Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise).
Examples
Input
9
abacbecfd
Output
YES
001010101
Input
8
aaabbcbb
Output
YES
01011011
Input
7
abcdedc
Output
NO
Input
5
abcde
Output
YES
00000
Submitted Solution:
```
def binSearch(a, n):
i, j = 0, len(a) - 1
while i != j:
if (j - i) % 2 == 1:
if a[i + ((j - i) // 2)] > n:
i = i + (j - i) // 2 + 1
else:
j = i + (j - i) // 2
else:
if a[i + (j - i) // 2] > n:
i = i + (j - i) // 2
else:
j = i + (j - i) // 2
return i
input()
k = ['a', 'a']
ans = ''
maxColor = 1
for symb in input():
i = binSearch(k, symb)
ans += str(i + 1)
if i + 1 > maxColor:
maxColor = i + 1
k.append('a')
k[i] = symb
print(maxColor)
print(*ans)
```
No
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
def solve(arr, n , m ) :
fix = arr[0]
for t in range(m) :
ch = fix[t]
for k in range(26) :
fix[t] = chr(ord('a') + k )
flag = True
for i in range(n) :
count = 0
for j in range(m) :
if arr[i][j] != fix[j] :
count +=1
if count >1 :
flag= False
break
if flag == True :
return ''.join(fix)
fix[t] = ch
return -1
for T in range(int(input())) :
n , m = list(map(int,input().split()))
arr = []
for i in range(n) :
arr.append(list(input()))
v = solve(arr,n , m)
print(v)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
t=int(input())
for _ in range(t):
n,m=map(int,input().split())
s=[]
for _ in range(n):
s.append(input())
ans=list(s[0])
l=[]
for i in range(m):
for j in range(26):
ans[i]=chr(j+97)
l.append(''.join(ans))
ans[i]=s[0][i]
nf=0
for i in l:
flag=0
for j in s:
ct=0
for k in range(m):
if j[k]!=i[k]:
ct+=1
if ct>1:
flag=1
break
if flag==0:
print(''.join(i))
nf=1
break
if nf==0:
print('-1')
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
import math
import string
def change(s, i, symbol):
ans = s[0:i] + symbol + s[(i + 1):]
return ans
def check(a, n, m, s):
ans = 0
for i in range(n):
cnt = 0
for j in range(m):
if(a[i][j] != s[j]):
cnt += 1
if(cnt > 1):
return 0
return 1
t = int(input())
for ttt in range(t):
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(str(input()))
s = a[0]
ans = 0
for j in range(m):
if(ans == 1):
break
for c in string.ascii_lowercase:
now = change(s, j, c)
if(check(a, n, m, now)):
ans = 1
print(now)
break
if(ans == 0):
print(-1)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
import string
def spystring(words):
def neigh(word):
candidates = {word}
for i in range(len(word)):
for c in string.ascii_lowercase:
candidates.add(word[:i] + c + word[i + 1:])
return candidates
intersection = neigh(words[0])
for word in words[1:]:
intersection &= neigh(word)
return intersection and intersection.pop() or -1
def solve():
n, m = map(int, input().split())
s = [input() for _ in range(n)]
print(spystring(s))
for _ in range(int(input())):
solve()
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
import sys
import math
from collections import defaultdict,deque
import heapq
t = int(sys.stdin.readline())
for _ in range(t):
n,m = map(int,sys.stdin.readline().split())
l =[]
for i in range(n):
s = sys.stdin.readline()[:-1]
l.append(s)
#print(l,'l')
ind = -1
z = True
till = -1
for i in range(m):
#z = True
let = l[0][i]
for j in range(n):
if l[j][i] != let:
z = False
ind = j
till = i
break
if not z:
break
if z:
print(l[0])
continue
z = True
for k in range(26):
ans = l[0][:till] + chr(97+k) + l[0][till+1:]
z=True
for i in range(n):
cnt = 0
for j in range(m):
if l[i][j] != ans[j]:
cnt += 1
#print(cnt,'cnt',i,'i')
if cnt > 1:
z = False
break
if z:
print(ans)
break
if z:
continue
z = True
for k in range(26):
ans = l[ind][:till] + chr(97+k) + l[ind][till+1:]
z=True
for i in range(n):
cnt = 0
for j in range(m):
if l[i][j] != ans[j]:
cnt += 1
#print(cnt,'cnt',i,'i')
if cnt > 1:
z = False
break
if z:
print(ans)
break
if not z:
print(-1)
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
#import math
#from functools import lru_cache
#import heapq
#from collections import defaultdict
#from collections import Counter
#from sys import stdout
#from sys import setrecursionlimit
from sys import stdin
input = stdin.readline
for Ti in range(int(input().strip())):
n, m = [int(x) for x in input().strip().split()]
sa = []
for ni in range(n):
sa.append(input().strip())
s1 = sa[0]
val = True
ans = ''
for m1 in range(m):
for ci in list('abcdefghijklmnopqrstuvwwxyz'):
s1 = sa[0]
s1 = s1[:m1] + ci + s1[m1+1:]
#print(s1)
val = True
for ni in range(n):
dc = 0
for mi in range(m):
if(sa[ni][mi]!=s1[mi]): dc+=1
if(dc>1):
val=False
break
if val:
ans = s1
break
else:
continue
break
if not ans:
print('-1')
else:
print(ans)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
# cook your dish here
import sys
# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')
import math
import collections
from sys import stdin,stdout,setrecursionlimit
import bisect as bs
setrecursionlimit(2**20)
M = 10**9+7
T = int(stdin.readline())
# T = 1
def check(s1,s2):
co = 0
for i in range(m):
if(s1[i] != s2[i]):
co += 1
if(co > 1):
return False
return True
for _ in range(T):
# n = int(stdin.readline())
n,m = list(map(int,stdin.readline().split()))
# h = list(map(int,stdin.readline().split()))
# q = list(map(int,stdin.readline().split()))
# b = list(map(int,stdin.readline().split()))
# s = stdin.readline().strip('\n')
ss = []
for i in range(n):
ss.append(list(stdin.readline().strip('\n')))
res = False
for i in range(m):
for a in range(26):
c = chr(ord('a')+a)
t = ss[0].copy()
t[i] = c
cc = 0
for j in range(1,n):
if(not check(t,ss[j])):
break
cc += 1
if(cc == n-1):
res = True
break
if(res):
break
if(res):
print(''.join(t))
continue
print(-1)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Tags: bitmasks, brute force, constructive algorithms, dp, hashing, strings
Correct Solution:
```
import sys
reader = (s.rstrip() for s in sys.stdin)
input = reader.__next__
def gift():
for _ in range(t):
n,m = list(map(int,input().split()))
arrys=[]
for i in range(n):
kap=list(input())
arrys.append(kap)
ans=[]
checkdiff=True
for i in range(n):
for j in range(i,n):
if checkdiff:
counter=0
for k in range(m):
if arrys[i][k]!=arrys[j][k]:
counter+=1
if counter>2:
checkdiff=False
break
else:
break
if checkdiff:
for j in range(m):
counterdic={}
for i in range(n):
ele=arrys[i][j]
freq=counterdic.get(ele,0)
counterdic[ele]=freq+1
#print(counterdic,len(counterdic),arrys[0][j])
if len(counterdic)==1:
ans.append(arrys[0][j])
else:
ans.append(list(counterdic.keys()))
pans=ans[0]
for j in range(1,m):
#print(pans,ans)
tis=ans[j]
#print(tis,pans,ans)
tans=[]
if len(tis)==1:
for di in pans:
di+=tis
tans.append(di)
else:
for di in pans:
for ti in tis:
diu=di+ti
tans.append(diu)
#print(tans)
pans=tans
gotans=False
for ina in pans:
ans=True
for i in range(n):
counter=0
for j in range(m):
#print(arrys)
if ina[j]!=arrys[i][j]:
counter+=1
if counter>=2:
ans=False
break
if ans:
yield ina
gotans=True
break
if not gotans:
yield -1
else:
yield -1
#aaaab
#abaaa
#aaaab
if __name__ == '__main__':
t= int(input())
ans = gift()
print(*ans,sep='\n')
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
#include <CodeforcesSolutions.h>
#include <ONLINE_JUDGE <solution.cf(contestID = "1360",problemID = "F",method = "GET")>.h>
"""
Author : thekushalghosh
Team : CodeDiggers
I prefer Python language over the C++ language :p :D
Visit my website : thekushalghosh.github.io
"""
import sys,math,cmath,time
start_time = time.time()
global tt
#---------------------- USER DEFINED INPUT FUNCTIONS ----------------------#
def inp():
return(int(input()))
def inlt():
return(list(map(int,input().split())))
def insr():
return(input().strip())
def invr():
return(map(int,input().split()))
##########################################################################
################# ---- THE ACTUAL CODE STARTS BELOW ---- #################
def solve():
n,m = invr()
a = []
for i in range(n):
s = insr()
a.append(s)
b = [["0"] * len(a) for i in range(m)]
for i in range(m):
for j in range(n):
b[i][j] = a[j][i]
q = a[0]
qw = 0
for i in range(m):
qq = string_counter(b[i])
for j in range(26):
w = q[:i] + chr(97 + j) + q[i + 1:]
for k in range(n):
ww = 0
for l in range(m):
if w[l] != a[k][l]:
ww = ww + 1
if ww < 2:
True
else:
break
else:
print(w)
qw = 1
break
if qw == 1:
break
if qw == 0:
print(-1)
################## ---- THE ACTUAL CODE ENDS ABOVE ---- ##################
##########################################################################
def main():
global tt
if not ONLINE_JUDGE:
sys.stdin = open("input.txt","r")
sys.stdout = open("output.txt","w")
t = 1
t = inp()
for tt in range(t):
solve()
if not ONLINE_JUDGE:
print("Time Elapsed :",time.time() - start_time,"seconds")
sys.stdout.close()
#------------------ USER DEFINED PROGRAMMING FUNCTIONS ------------------#
def counter(a):
q = [0] * max(a)
for i in range(len(a)):
q[a[i] - 1] = q[a[i] - 1] + 1
return(q)
def string_counter(a):
q = [0] * 26
for i in range(len(a)):
q[ord(a[i]) - 97] = q[ord(a[i]) - 97] + 1
return(q)
ONLINE_JUDGE = __debug__
if ONLINE_JUDGE:
input = sys.stdin.readline
main()
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
## necessary imports
import sys
input = sys.stdin.readline
from math import *
# swap_array function
def swaparr(arr, a,b):
temp = arr[a];
arr[a] = arr[b];
arr[b] = temp
## gcd function
def gcd(a,b):
if a == 0:
return b
return gcd(b%a, a)
## nCr function efficient using Binomial Cofficient
def nCr(n, k):
if(k > n - k):
k = n - k
res = 1
for i in range(k):
res = res * (n - i)
res = res / (i + 1)
return res
## upper bound function code -- such that e in a[:i] e < x;
def upper_bound(a, x, lo=0):
hi = len(a)
while lo < hi:
mid = (lo+hi)//2
if a[mid] < x:
lo = mid+1
else:
hi = mid
return lo
## prime factorization
def primefs(n):
## if n == 1 ## calculating primes
primes = {}
while(n%2 == 0):
primes[2] = primes.get(2, 0) + 1
n = n//2
for i in range(3, int(n**0.5)+2, 2):
while(n%i == 0):
primes[i] = primes.get(i, 0) + 1
n = n//i
if n > 2:
primes[n] = primes.get(n, 0) + 1
## prime factoriazation of n is stored in dictionary
## primes and can be accesed. O(sqrt n)
return primes
## MODULAR EXPONENTIATION FUNCTION
def power(x, y, p):
res = 1
x = x % p
if (x == 0) :
return 0
while (y > 0) :
if ((y & 1) == 1) :
res = (res * x) % p
y = y >> 1
x = (x * x) % p
return res
## DISJOINT SET UNINON FUNCTIONS
def swap(a,b):
temp = a
a = b
b = temp
return a,b
# find function with path compression included (recursive)
# def find(x, link):
# if link[x] == x:
# return x
# link[x] = find(link[x], link);
# return link[x];
# find function with path compression (ITERATIVE)
def find(x, link):
p = x;
while( p != link[p]):
p = link[p];
while( x != p):
nex = link[x];
link[x] = p;
x = nex;
return p;
# the union function which makes union(x,y)
# of two nodes x and y
def union(x, y, link, size):
x = find(x, link)
y = find(y, link)
if size[x] < size[y]:
x,y = swap(x,y)
if x != y:
size[x] += size[y]
link[y] = x
## returns an array of boolean if primes or not USING SIEVE OF ERATOSTHANES
def sieve(n):
prime = [True for i in range(n+1)]
p = 2
while (p * p <= n):
if (prime[p] == True):
for i in range(p * p, n+1, p):
prime[i] = False
p += 1
return prime
#### PRIME FACTORIZATION IN O(log n) using Sieve ####
MAXN = int(1e6 + 5)
def spf_sieve():
spf[1] = 1;
for i in range(2, MAXN):
spf[i] = i;
for i in range(4, MAXN, 2):
spf[i] = 2;
for i in range(3, ceil(MAXN ** 0.5), 2):
if spf[i] == i:
for j in range(i*i, MAXN, i):
if spf[j] == j:
spf[j] = i;
## function for storing smallest prime factors (spf) in the array
################## un-comment below 2 lines when using factorization #################
# spf = [0 for i in range(MAXN)]
# spf_sieve()
def factoriazation(x):
ret = {};
while x != 1:
ret[spf[x]] = ret.get(spf[x], 0) + 1;
x = x//spf[x]
return ret
## this function is useful for multiple queries only, o/w use
## primefs function above. complexity O(log n)
## taking integer array input
def int_array():
return list(map(int, input().strip().split()))
## taking string array input
def str_array():
return input().strip().split();
#defining a couple constants
MOD = int(1e9)+7;
CMOD = 998244353;
INF = float('inf'); NINF = -float('inf');
################### ---------------- TEMPLATE ENDS HERE ---------------- ###################
def isValid(this):
for i in range(n):
count = 0;
for j in range(m):
if this[j] != a[i][j]:
count += 1;
if count > 1:
return False
return True;
for _ in range(int(input())):
n, m = int_array(); a = [];
for __ in range(n):
a.append(list(input().strip()));
x = a[0]; f = 1;
for i in range(m):
if not f:
break;
for j in range(26):
this = x.copy(); this[i] = chr(97 + j);
if isValid(this):
print(''.join(this));
f = 0; break;
if f:
print(-1);
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
from copy import deepcopy
t=int(input())
for _ in range(t):
n,m=list(map(int,input().split()))
s=[]
for i in range(n):
s.append(list(input()))
def diff(a,b):
count=0
for i in range(0,len(a)):
if a[i]!=b[i]:
count+=1
return count
flag1=0
str=-1
temp = deepcopy(s[0])
for i in range(0,m):
temp=deepcopy(s[0])
for c in 'qwertyuiopasdfghjklzxcvbnm':
temp[i]=c
# print(temp)
flag=1
for l in s[1:]:
if diff(l,temp)>1:
flag=0
break
if flag==1:
flag1=1
break
if flag1==1:
break
if flag1==1:
print(''.join(temp))
else:
print(-1)
```
Yes
| 13,465 | [
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
for T in range(int(input())):
n, m = [int(x) for x in input().split()]
arr = []
for i in range(n):
arr.append(list(input()))
if n == 1:
print(*arr[0], sep = '')
continue
first = arr[0]
done = 0
for i in range(m):
prev = first[i]
for j in range(97, 97 + 26):
ch = chr(j)
first[i] = ch
for k in range(1, n):
bad = 0
for pos in range(m):
if first[pos] != arr[k][pos]:
bad += 1
if bad > 1:
break
if bad > 1:
break
else:
print(*first, sep = '')
done = 1
break
if done:
break
if done:
break
else:
first[i] = prev
if not done:
print(-1)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
import sys
try:
sys.stdin = open('Input.txt', 'r')
sys.stdout = open('Output.txt', 'w')
except:
pass
for testCases in range(int(input())):
s = []
n,m = map(int,input().split())
for i in range(n):
s.append(list(input()))
# print(s)
# break
ans = s[0]
index = -1
char = ''
limit = 0
flag = True
checkAns = True
for i in range(n):
limit = 0
diff1 = 0
diff2 = 0
for j in range(m):
# print(j,ans)
if flag:
if s[i][j] != ans[j]:
if limit == 2:
checkAns = False
break
if limit == 0:
index = j
char = s[i][j]
limit +=1
else:
temp1 = ans[:]
temp1[index] = char
temp2 = ans[:]
temp2[j] = s[i][j]
ans = [temp1,temp2]
flag = False
# print(ans)
else:
# print("YAY")
if ans[0]!=[] and s[i][j]!=ans[0][j]:
diff1 += 1
if ans[1]!=[] and s[i][j]!=ans[1][j]:
diff2 += 1
if diff1>=2:
ans[0] = []
if diff2>=2:
ans[1] = []
if checkAns == False:
break
if checkAns:
try:
print("".join(ans))
except:
if ans[0]!=[]:
print("".join(ans[0]))
elif ans[1]!=[]:
print("".join(ans[1]))
else:
print(-1)
else:
print(-1)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
def stringgen(arr,n,m):
first=arr[0]
for i in range(m):
save=first[i]
for ch in "abcdefghijklmnopqrstuvxyz":
first[i]=ch
flag=True
for rest in arr[1:]:
cnt=0
for x in range(m):
if rest[x]!=first[x]:
cnt+=1
if cnt>1:
flag=False
break
if flag==True:
return "".join(first)
first[i]=save
return -1
for i in range(int(input())):
n,m=map(int,input().strip().split())
blanck=[]
for j in range(n):
blanck.append([i for i in input()])
print(stringgen(blanck,n,m))
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
def solve(n, m, arr):
if n == 1:
print(arr[0])
return
# s1 = arr[0]
# s2 = ""
s1, s2 = "", ""
for i in range(1, n):
diff = check(arr[0], arr[i])
if len(diff) <= 1:
continue
elif len(diff) == 2:
idx1, idx2 = diff
s1, s2 = arr[0], arr[i]
s1 = s1[:idx1] + arr[i][idx1] + s1[idx1 + 1:]
s2 = s2[:idx2] + arr[0][idx2] + s2[idx2 + 1:]
break
else:
print(-1)
return
if s1 == "":
print(arr[0])
return
f1, f2 = True, True
for s in arr:
diff = check(s1, s)
if len(diff) > 1:
f1 = False
break
if f1:
print(s1)
return
for s in arr:
diff = check(s2, s)
if len(diff) > 1:
f2 = False
break
if f2:
print(s2)
return
print(-1)
return
def check(s1, s2):
diff = []
for i in range(len(s1)):
if s1[i] != s2[i]:
diff.append(i)
return diff
t = int(input())
for i in range(0, t):
n, m = map(int, input().split())
arr = []
for j in range(n):
arr.append(input())
solve(n, m, arr)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n strings a_1, a_2, …, a_n: all of them have the same length m. The strings consist of lowercase English letters.
Find any string s of length m such that each of the given n strings differs from s in at most one position. Formally, for each given string a_i, there is no more than one position j such that a_i[j] ≠ s[j].
Note that the desired string s may be equal to one of the given strings a_i, or it may differ from all the given strings.
For example, if you have the strings abac and zbab, then the answer to the problem might be the string abab, which differs from the first only by the last character, and from the second only by the first.
Input
The first line contains an integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.
Each test case starts with a line containing two positive integers n (1 ≤ n ≤ 10) and m (1 ≤ m ≤ 10) — the number of strings and their length.
Then follow n strings a_i, one per line. Each of them has length m and consists of lowercase English letters.
Output
Print t answers to the test cases. Each answer (if it exists) is a string of length m consisting of lowercase English letters. If there are several answers, print any of them. If the answer does not exist, print "-1" ("minus one", without quotes).
Example
Input
5
2 4
abac
zbab
2 4
aaaa
bbbb
3 3
baa
aaa
aab
2 2
ab
bb
3 1
a
b
c
Output
abab
-1
aaa
ab
z
Note
The first test case was explained in the statement.
In the second test case, the answer does not exist.
Submitted Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
mod=10**9+7
def ni():
return int(raw_input())
def li():
return map(int,raw_input().split())
def pn(n):
stdout.write(str(n)+'\n')
def pa(arr):
pr(' '.join(map(str,arr))+'\n')
# fast read function for total integer input
def inp():
# this function returns whole input of
# space/line seperated integers
# Use Ctrl+D to flush stdin.
return map(int,stdin.read().split())
range = xrange # not for python 3.0+
# main code
for t in range(ni()):
n,m=li()
l=[]
for i in range(n):
l.append(list(raw_input().strip()))
f1=0
for i in range(n):
ans=list(l[i])
f2=0
f3=0
for j in range(n):
if i==j:
continue
f=0
for k in range(m):
if ans[k]!=l[j][k]:
#print i,j,k,'asdf'
if not f2:
ans[k]=l[j][k]
f2=1
else:
f+=1
if f>1:
break
if f>1:
f3=1
break
#print f,f3,f2,j,k,ans
if not f3:
f1=1
break
if f1:
pr(''.join(ans)+'\n')
else:
pn(-1)
```
No
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n = input()
s = input()
n = int(n)
print('1'*min(s.count('1'), 1)+'0'*s.count('0'))
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n = int(input())
s = input()
flag=0
ans=""
for ele in s:
if ele=='1' and flag==0:
ans+=ele
flag=1
if ele=='0':
ans+=ele
print(ans)
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n=int(input())
s=input()
m=''
counter=0
for i in range(n):
if s[i]== '1':
counter=counter+1
for j in range(n-counter):
m=m+'0'
if s=='0':
print(0)
else:
print('1'+m)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n=int(input())
s=input()
while('01' in s or '11' in s):
if('01' in s):
s=s.replace('01','10')
elif('11' in s):
s=s.replace('11','1')
print(s)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
num = int(input())
s = input()
if "1" not in s:
print(s)
else:
ans = "1" + s.count("0")*"0"
print(ans)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n=int(input())
s=input()
if n==1:
print(s)
exit()
s=list(s)
zero=s.count('0')
print('1'+'0'*zero)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
# int(input())
# [int(s) for s in input().split()]
# input()
def solve():
n = int(input())
s = input()
if s.count("1") == 0:
print(s)
else:
print("1"+"0"*(s.count("0")))
if __name__ == "__main__":
solve()
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Tags: implementation
Correct Solution:
```
n=int(input())
s=input()
z=0
o=0
for c in s:
if c=="1":
o+=1
else:
z+=1
t=""
for i in range(z):
t+="0"
if o==0:
print(t)
else:
t="1"+t
print(t)
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n, s = input(), input()
if s == '0':
print(s)
else:
print('1','0'*s.count('0'),sep='')
```
Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n=int(input())
s=input()
print(s[0]+'0'*s[1:].count('0'))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n = int(input())
s1 = input()
if s1.count('1') == 0:
print(0)
else:
print('1' + '0' * s1.count('0'))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n = int(input())
a = input()
while '01' in a or '11' in a:
a = a.replace('01', '10')
a = a.replace('11', '1')
print(a)
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n=int(input())
s=input()
count=0
for i in s:
if(i=='0'):
count+=1
print('1'+'0'*count)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n = int(input())
s = input()
z = 0
o = 0
for c in s:
if c == '0':
z += 1
else:
o += 1
ans = None
if o >= 1:
ans = 1 << z
else:
ans = 0
s = ""
while ans > 0:
s = str(ans % 2) + s
ans //= 2
print(s)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n = int(input())
s = input()
c = 2
j = 0
for i in s:
if i == 1:
c += 1
if n == 1:
print(1)
elif n % 2 == 0:
print(1, end='')
while j < (n - c):
print(0, end = '')
j += 1
else:
print(1, end='')
while j < (n - c):
print(0, end = '')
j += 1
print(1, end='')
```
No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
String can be called correct if it consists of characters "0" and "1" and there are no redundant leading zeroes. Here are some examples: "0", "10", "1001".
You are given a correct string s.
You can perform two different operations on this string:
1. swap any pair of adjacent characters (for example, "101" <image> "110");
2. replace "11" with "1" (for example, "110" <image> "10").
Let val(s) be such a number that s is its binary representation.
Correct string a is less than some other correct string b iff val(a) < val(b).
Your task is to find the minimum correct string that you can obtain from the given one using the operations described above. You can use these operations any number of times in any order (or even use no operations at all).
Input
The first line contains integer number n (1 ≤ n ≤ 100) — the length of string s.
The second line contains the string s consisting of characters "0" and "1". It is guaranteed that the string s is correct.
Output
Print one string — the minimum correct string that you can obtain from the given one.
Examples
Input
4
1001
Output
100
Input
1
1
Output
1
Note
In the first example you can obtain the answer by the following sequence of operations: "1001" <image> "1010" <image> "1100" <image> "100".
In the second example you can't obtain smaller answer no matter what operations you use.
Submitted Solution:
```
n = int(input())
B = input()
z = 0
for c in B:
z += c == '0'
print('1'+'0'*z)
```
No
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Provide tags and a correct Python 3 solution for this coding contest problem.
You've got a string s = s1s2... s|s| of length |s|, consisting of lowercase English letters. There also are q queries, each query is described by two integers li, ri (1 ≤ li ≤ ri ≤ |s|). The answer to the query is the number of substrings of string s[li... ri], which are palindromes.
String s[l... r] = slsl + 1... sr (1 ≤ l ≤ r ≤ |s|) is a substring of string s = s1s2... s|s|.
String t is called a palindrome, if it reads the same from left to right and from right to left. Formally, if t = t1t2... t|t| = t|t|t|t| - 1... t1.
Input
The first line contains string s (1 ≤ |s| ≤ 5000). The second line contains a single integer q (1 ≤ q ≤ 106) — the number of queries. Next q lines contain the queries. The i-th of these lines contains two space-separated integers li, ri (1 ≤ li ≤ ri ≤ |s|) — the description of the i-th query.
It is guaranteed that the given string consists only of lowercase English letters.
Output
Print q integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces.
Examples
Input
caaaba
5
1 1
1 4
2 3
4 6
4 5
Output
1
7
3
4
2
Note
Consider the fourth query in the first test case. String s[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba».
Tags: dp, hashing, strings
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
def main():
# n, k = map(int, input().split())
# s = input()
s=input()
n=len(s)
palin = [[0 for _ in range(n)] for _ in range(n)]
dp = [[0 for _ in range(n)] for _ in range(n)]
for sz in range(n):
for i in range(n - sz):
j = i + sz
if sz == 0:
palin[i][j] = 1
elif s[i] == s[j]:
if sz == 1:
palin[i][j] = 1
else:
palin[i][j] = palin[i + 1][j - 1]
else:
palin[i][j] = int(s[i] == s[j] and palin[i + 1][j - 1])
for sz in range(n):
for i in range(n - sz):
j = i + sz
if sz == 0:
dp[i][j] = 1
else:
dp[i][j] = dp[i][j - 1] + dp[i + 1][j] - dp[i + 1][j - 1] + palin[i][j]
# print(*dp,sep='\n')
for _ in range(int(input())):
l, r = list(map(int, input().split()))
print(dp[l - 1][r - 1])
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
if __name__ == "__main__":
for t in range(1):main()#int(input())): main()
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got a string s = s1s2... s|s| of length |s|, consisting of lowercase English letters. There also are q queries, each query is described by two integers li, ri (1 ≤ li ≤ ri ≤ |s|). The answer to the query is the number of substrings of string s[li... ri], which are palindromes.
String s[l... r] = slsl + 1... sr (1 ≤ l ≤ r ≤ |s|) is a substring of string s = s1s2... s|s|.
String t is called a palindrome, if it reads the same from left to right and from right to left. Formally, if t = t1t2... t|t| = t|t|t|t| - 1... t1.
Input
The first line contains string s (1 ≤ |s| ≤ 5000). The second line contains a single integer q (1 ≤ q ≤ 106) — the number of queries. Next q lines contain the queries. The i-th of these lines contains two space-separated integers li, ri (1 ≤ li ≤ ri ≤ |s|) — the description of the i-th query.
It is guaranteed that the given string consists only of lowercase English letters.
Output
Print q integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces.
Examples
Input
caaaba
5
1 1
1 4
2 3
4 6
4 5
Output
1
7
3
4
2
Note
Consider the fourth query in the first test case. String s[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba».
Submitted Solution:
```
s=input()
n=len(s)
mark=[]
dp=[]
for i in range(n):
mark.append([0]*n)
dp.append([0]*n)
for i in range(0,n):
for j in range(0,n):
if i+j>=n or i-j<0 :break
if s[i-j]==s[i+j]:
print(i-j,' ',i+j)
mark[i-j][i+j]=1
else : break
for j in range(1,n):
if i+j>=n or i-j+1<0:break
if s[i-j+1]==s[i+j]:
print(i-j+1,' ',i+j)
mark[i-j+1][i+j]=1
else : break
for i in range(n-1,-1,-1):
dp[i][i]=1
for j in range(i+1,n,1):
dp[i][j]=dp[i+1][j]+dp[i][j-1]+mark[i][j]
if i+1<=j-1:dp[i][j]-=dp[i+1][j-1]
q=int(input())
while q>0:
q-=1
A=list(map(int,input().split()))
A[0]-=1
A[1]-=1
print(dp[A[0]][A[1]])
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got a string s = s1s2... s|s| of length |s|, consisting of lowercase English letters. There also are q queries, each query is described by two integers li, ri (1 ≤ li ≤ ri ≤ |s|). The answer to the query is the number of substrings of string s[li... ri], which are palindromes.
String s[l... r] = slsl + 1... sr (1 ≤ l ≤ r ≤ |s|) is a substring of string s = s1s2... s|s|.
String t is called a palindrome, if it reads the same from left to right and from right to left. Formally, if t = t1t2... t|t| = t|t|t|t| - 1... t1.
Input
The first line contains string s (1 ≤ |s| ≤ 5000). The second line contains a single integer q (1 ≤ q ≤ 106) — the number of queries. Next q lines contain the queries. The i-th of these lines contains two space-separated integers li, ri (1 ≤ li ≤ ri ≤ |s|) — the description of the i-th query.
It is guaranteed that the given string consists only of lowercase English letters.
Output
Print q integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces.
Examples
Input
caaaba
5
1 1
1 4
2 3
4 6
4 5
Output
1
7
3
4
2
Note
Consider the fourth query in the first test case. String s[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba».
Submitted Solution:
```
s=str(input())
dp=[[0 for i in range(len(s))]for j in range(len(s))]
for i in range(len(s)):
dp[i][i]=1
n=len(s)
for i in range(n-1):
if s[i]==s[i+1]:
dp[i][i+1]=1
# print(dp)
for i in range(2,n):
for j in range(n-i):
# print(i,
# j)
if s[j]==s[i+j] and dp[j+1][i+j-1]:
dp[j][i+j]=1
a=[]
for j in range(n):
c=0
for i in range(n):
c+=dp[i][j]
a.append(c)
prefix=[a[0]]
for i in range(1,n):
prefix.append(prefix[i-1]+a[i])
for _ in range(int(input())):
u,v=map(int,input().split())
# print(u,v)
print(prefix[v-1]-prefix[u-1]+1)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got a string s = s1s2... s|s| of length |s|, consisting of lowercase English letters. There also are q queries, each query is described by two integers li, ri (1 ≤ li ≤ ri ≤ |s|). The answer to the query is the number of substrings of string s[li... ri], which are palindromes.
String s[l... r] = slsl + 1... sr (1 ≤ l ≤ r ≤ |s|) is a substring of string s = s1s2... s|s|.
String t is called a palindrome, if it reads the same from left to right and from right to left. Formally, if t = t1t2... t|t| = t|t|t|t| - 1... t1.
Input
The first line contains string s (1 ≤ |s| ≤ 5000). The second line contains a single integer q (1 ≤ q ≤ 106) — the number of queries. Next q lines contain the queries. The i-th of these lines contains two space-separated integers li, ri (1 ≤ li ≤ ri ≤ |s|) — the description of the i-th query.
It is guaranteed that the given string consists only of lowercase English letters.
Output
Print q integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces.
Examples
Input
caaaba
5
1 1
1 4
2 3
4 6
4 5
Output
1
7
3
4
2
Note
Consider the fourth query in the first test case. String s[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba».
Submitted Solution:
```
s = input()
n = len(s) + 1
dp = [[0] * n for i in range(n)]
for i in range(n):
p, q = i, i
while q < n - 1 and p >= 0:
if s[p] == s[q]:
dp[p][q] += 1
p, q = p - 1, q + 1
for i in range(n):
p, q = i, i + 1
while q < n - 1 and p >= 0:
if s[p] == s[q]:
dp[p][q] += 1
p, q = p - 1, q + 1
for i in range(n):
for j in range(i + 1, n):
dp[i][j] += dp[i][j - 1]
for j in range(n):
for i in range(j - 1, -1, -1):
dp[i][j] += dp[i + 1][j]
Q = int(input())
for i in range(Q):
l, r = map(int, input().split())
print(dp[l - 1][r - 1])
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got a string s = s1s2... s|s| of length |s|, consisting of lowercase English letters. There also are q queries, each query is described by two integers li, ri (1 ≤ li ≤ ri ≤ |s|). The answer to the query is the number of substrings of string s[li... ri], which are palindromes.
String s[l... r] = slsl + 1... sr (1 ≤ l ≤ r ≤ |s|) is a substring of string s = s1s2... s|s|.
String t is called a palindrome, if it reads the same from left to right and from right to left. Formally, if t = t1t2... t|t| = t|t|t|t| - 1... t1.
Input
The first line contains string s (1 ≤ |s| ≤ 5000). The second line contains a single integer q (1 ≤ q ≤ 106) — the number of queries. Next q lines contain the queries. The i-th of these lines contains two space-separated integers li, ri (1 ≤ li ≤ ri ≤ |s|) — the description of the i-th query.
It is guaranteed that the given string consists only of lowercase English letters.
Output
Print q integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces.
Examples
Input
caaaba
5
1 1
1 4
2 3
4 6
4 5
Output
1
7
3
4
2
Note
Consider the fourth query in the first test case. String s[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba».
Submitted Solution:
```
s = input()
n = len(s) + 1
dp = [[0] * n for i in range(n)]
for i in range(n):
p, q = i, i
while q < n - 1 and p >= 0:
if s[p] == s[q]:
dp[p][q] += 1
p, q = p - 1, q + 1
for i in range(n):
p, q = i, i + 1
while q < n - 1 and p >= 0:
if s[p] == s[q]:
dp[p][q] += 1
p, q = p - 1, q + 1
for i in range(n):
for j in range(1, n):
dp[i][j] += dp[i][j - 1]
for j in range(n):
for i in range(n - 2, -1, -1):
dp[i][j] += dp[i + 1][j]
Q = int(input())
for i in range(Q):
l, r = map(int, input().split())
print(dp[l - 1][r - 1])
```
No
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
from string import ascii_lowercase
from bisect import bisect_right
s = input()
t = input()
p = {c: [] for c in s}
for x, c in enumerate(s):
p[c].append(x)
z = 0
l = -1
for c in t:
if c not in p:
print(-1)
break
x = bisect_right(p[c], l)
if x == len(p[c]):
x = 0
z += 1
l = p[c][x]
else:
print(z * len(s) + l + 1)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
s=input()
t=input()
ans1=0
ans2=0
m=len(s)
n=len(t)
s=s+s
for i in range(n):
a=s.find(t[i],ans2)
if a==-1:
print(-1)
exit()
if a>=m:
ans1+=1
ans2=a%m+1
print((ans1*m)+ans2)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
import bisect
s = list(input())
t = list(input())
if len(set(t)-set(s)) > 0:
print(-1)
exit()
c = set(s)
dic = {}
for char in c:
dic[char] = []
for i in range(len(s)):
dic[s[i]] += [i]
last = -1
r = 0
for char in t:
tmp = last
idx = bisect.bisect_right(dic[char], last)
if idx < len(dic[char]):
last = dic[char][idx]
if tmp == last:
r += 1
last = dic[char][0]
print(len(s)*r + last + 1)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
s = input()
t = input()
temp = s[:]
cnt = 0
strmax = len(t)
ans = 0
for i in t:
if s.find(i)==-1:
print("-1")
exit(0)
while cnt<strmax:
num = temp.find(t[cnt])
if num != -1:
ans+=num+1
temp = temp[num+1:]
cnt+=1
else:
ans+=len(temp)
temp = s[:]
print(ans)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
from bisect import bisect_right
s = input()
t = input()
n = len(s)
mp = [[] for _ in range(26)]
s += s
for i in range(len(s)):
mp[ord(s[i]) - ord('a')].append(i)
ans = 0
now = -1
for i in range(len(t)):
a = ord(t[i]) - ord('a')
nxt = bisect_right(mp[a], now)
if len(mp[a]) == nxt:
print(-1)
exit()
ans += mp[a][nxt] - now
now = mp[a][nxt]
if now >= n:
now -= n
print(ans)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
import string
import bisect
S = input()
T = input()
n = len(S)
sa = {_: [] for _ in string.ascii_lowercase}
for i, s in enumerate(S):
sa[s] += [i]
ans = 0
i = -1
for t in T:
if sa[t]:
j = bisect.bisect_left(sa[t], i + 1)
if j == len(sa[t]):
ni = sa[t][0] + n
else:
ni = sa[t][j]
ans += ni - i
i = ni % n
else:
print(-1)
exit()
print(ans)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
S = input()
T = input()
length = len(S)
ans = 0
pre = -1
for t in T:
x = S.find(t, pre+1, length)
if x != -1:
ans += x - pre
pre = x
else:
x = S.find(t, 0, pre+1)
if x != -1:
ans += length + x - pre
pre = x
else:
ans = -1
break
print(ans)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
Given are two strings s and t consisting of lowercase English letters. Determine if there exists an integer i satisfying the following condition, and find the minimum such i if it exists.
* Let s' be the concatenation of 10^{100} copies of s. t is a subsequence of the string {s'}_1{s'}_2\ldots{s'}_i (the first i characters in s').
Constraints
* 1 \leq |s| \leq 10^5
* 1 \leq |t| \leq 10^5
* s and t consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If there exists an integer i satisfying the following condition, print the minimum such i; otherwise, print `-1`.
Examples
Input
contest
son
Output
10
Input
contest
programming
Output
-1
Input
contest
sentence
Output
33
"Correct Solution:
```
s = input()
n = len(s)
l = [[]for i in range(26)]
for i, c in enumerate(s * 2):
l[ord(c) - ord('a')].append(i)
from bisect import *
shukai = 0
now = 0
t = input()
for c in t:
x = ord(c) - ord('a')
if len(l[x]) == 0:
print(-1)
exit()
i = bisect_left(l[x], now)
now = l[x][i] + 1
if now >= n:
now -= n
shukai += 1
print(shukai * n + now)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
import sys
#input = sys.stdin.buffer.readline
def main():
N = int(input())
S = input()
Q = input()
x = tuple(map(int,input().split()))
for k in x:
d,m,dm,dmc = 0,0,0,0
for i in range(N):
st = S[i]
if st == "D":
d += 1
elif st == "M":
m += 1
dm += d
elif st == "C":
dmc += dm
if i >= k-1:
if S[i-k+1] == "D":
dm -= m
d -= 1
elif S[i-k+1] == "M":
m -= 1
print(dmc)
if __name__ == "__main__":
main()
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
import sys
input = sys.stdin.readline
N = int(input())
S = list(input())[: -1]
Q = int(input())
qs = list(map(int, input().split()))
cs = [0] * (N + 1)
c = []
d = []
for i in range(N):
cs[i + 1] = cs[i] + (S[i] == "M")
if S[i] == "C": c.append(i)
if S[i] == "D": d.append(i)
ccs = [0] * (N + 1)
ccounts = [0] * (N + 1)
for i in range(N):
ccs[i + 1] = ccs[i] + cs[i] * (S[i] == "C")
ccounts[i + 1] = ccounts[i] + (S[i] == "C")
#print(cs, c)
#print(ccs)
for k in qs:
res = 0
for i in d:
l = i
r = min(N, i + k)
res += max(0, ccs[r] - ccs[l] - cs[i] * (ccounts[r] - ccounts[l]))
print(res)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
n = int(input())
s = input()
q = int(input())
K = list(map(int,input().split()))
for ii in range(q):
# D = [[0] * 3 for i in range(n)]
d = 0
m = 0
dm = 0
ans = 0
k = K[ii]
for i in range(n):
# for j in range(3):
# D[i][j] = D[i-1][j]
if i-k >= 0:
if s[i-k] == "D":
d -= 1
dm -= m
if s[i-k] == "M":
m -= 1
if s[i] == "D":
d += 1
if s[i] == "M":
m += 1
dm += d
if s[i] == "C":
ans += dm
print(ans)
# print(D)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
def main():
n = int(input())
s = input()
q = int(input())
k = list(map(int, input().split()))
for ki in k:
ans = 0
DMC = [0]*3
for i in range(n):
if s[i] == "D":
DMC[0] += 1
elif s[i] == "M":
DMC[1] += 1
DMC[2] += DMC[0]
if i >= ki:
j = i-ki
if s[j] == "D":
DMC[0] -= 1
DMC[2] -= DMC[1]
elif s[j] == "M":
DMC[1] -= 1
if s[i] == "C":
ans += DMC[2]
print(ans)
if __name__ == "__main__":
main()
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
import sys
read = sys.stdin.buffer.read
input = sys.stdin.readline
input = sys.stdin.buffer.readline
#sys.setrecursionlimit(10**9)
#from functools import lru_cache
def RD(): return sys.stdin.read()
def II(): return int(input())
def MI(): return map(int,input().split())
def MF(): return map(float,input().split())
def LI(): return list(map(int,input().split()))
def LF(): return list(map(float,input().split()))
def TI(): return tuple(map(int,input().split()))
# rstrip().decode('utf-8')
def main():
n=II()
s=input().rstrip().decode()
li=[0]*n
q=II()
K=LI()
for k in K:
D=0
M=0
DM=0
ans=0
for i in range(n):
if s[i]=="D":
D+=1
elif s[i]=="M":
M+=1
DM+=D
elif s[i]=="C":
ans+=DM
if i-k+1>=0:
if s[i-k+1]=="D":
D-=1
DM-=M
elif s[i-k+1]=="M":
M-=1
print(ans)
if __name__ == "__main__":
main()
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
n=int(input())
s=input()
q=int(input())
k=list(map(int,input().split()))
for x in k:
d,m,dm,ans=0,0,0,0
for i in range(n):
ss=s[i]
if ss=='D':
d+=1
elif ss=='M':
m+=1
dm+=d
elif ss=='C':
ans+=dm
if i>=x-1:
ss=s[i-x+1]
if ss=='D':
dm-=m
d-=1
elif ss=='M':
m-=1
print(ans)
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
N = int(input())
S = input()
Q = int(input())
K = list(map(int, input().split()))
for k in K:
res = 0
d = 0
m = 0
dm = 0
for i in range(N):
if S[i] == 'D':
d += 1
elif S[i] == 'M':
dm += d
m += 1
elif S[i] == 'C':
res += dm
if i + 1 - k >= 0:
if S[i + 1 - k] == 'D':
d -= 1
dm -= m
elif S[i + 1 - k] == 'M':
m -= 1
print(res)
```
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Provide a correct Python 3 solution for this coding contest problem.
In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.
The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string.
Given a string S of length N and an integer k (k \geq 3), he defines the k-DMC number of S as the number of triples (a, b, c) of integers that satisfy the following conditions:
* 0 \leq a < b < c \leq N - 1
* S[a] = `D`
* S[b] = `M`
* S[c] = `C`
* c-a < k
Here S[a] is the a-th character of the string S. Indexing is zero-based, that is, 0 \leq a \leq N - 1 holds.
For a string S and Q integers k_0, k_1, ..., k_{Q-1}, calculate the k_i-DMC number of S for each i (0 \leq i \leq Q-1).
Constraints
* 3 \leq N \leq 10^6
* S consists of uppercase English letters
* 1 \leq Q \leq 75
* 3 \leq k_i \leq N
* All numbers given in input are integers
Input
Input is given from Standard Input in the following format:
N
S
Q
k_{0} k_{1} ... k_{Q-1}
Output
Print Q lines. The i-th line should contain the k_i-DMC number of the string S.
Examples
Input
18
DWANGOMEDIACLUSTER
1
18
Output
1
Input
18
DDDDDDMMMMMCCCCCCC
1
18
Output
210
Input
54
DIALUPWIDEAREANETWORKGAMINGOPERATIONCORPORATIONLIMITED
3
20 30 40
Output
0
1
2
Input
30
DMCDMCDMCDMCDMCDMCDMCDMCDMCDMC
4
5 10 15 20
Output
10
52
110
140
"Correct Solution:
```
import sys
input = sys.stdin.readline
def main():
N = int(input())
S = input()
Q = input()
x = tuple(map(int,input().split()))
for k in x:
d,m,dm,dmc = 0,0,0,0
for i in range(N):
st = S[i]
if st == "D":
d += 1
elif st == "M":
m += 1
dm += d
elif st == "C":
dmc += dm
if i >= k-1:
if S[i-k+1] == "D":
dm -= m
d -= 1
elif S[i-k+1] == "M":
m -= 1
print(dmc)
if __name__ == "__main__":
main()
```
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] | 0 |
Provide a correct Python 3 solution for this coding contest problem.
()
Problem Statement
There is a string S. Initially, S is an empty string.
Perform the following processing in order of n.
* Add x_i p_i (=" (" or") ") to the end of S.
After processing, determine if S is a well-balanced string.
"The string is balanced" is defined as follows.
* The empty string is well-balanced.
* For balanced strings a and b, a + b (+ represents a concatenation of strings) is balanced.
* For a balanced string a, "(" + a + ")" is balanced.
Constraints
* 1 ≤ n ≤ 1,000
* 1 ≤ x_i ≤ 10 ^ 6
* p_i is "(" or ")"
Input
Input follows the following format. All given numbers are integers.
n
p_1 x_1
.. ..
p_n x_n
Output
Output "YES" if balanced, otherwise output "NO" on one line.
Examples
Input
3
( 5
) 4
) 1
Output
YES
Input
5
( 2
) 2
( 3
) 1
) 2
Output
YES
Input
2
) 1
( 1
Output
NO
"Correct Solution:
```
n = int(input())
s = 0
f = 0
for i in range(n):
p,x = input().split()
x = int(x)
if p == "(":
s += x
else:
s -= x
if s < 0:
f = 1
if f or s != 0:
print("NO")
else:
print("YES")
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
from sys import stdin
input = stdin.readline
def is_good(arr):
digit = False
upper = False
lower = False
for c in arr:
if c.isdigit():
digit = True
elif c.isupper():
upper = True
else:
lower = True
return (digit and upper and lower)
def solve():
s = list(input().rstrip())
# length 0
if is_good(s):
print(*s, sep="")
return
# length 1
for i in range(len(s)):
x = s[i]
s[i] = "1"
if is_good(s):
print(*s, sep="")
return
s[i] = "a"
if is_good(s):
print(*s, sep="")
return
s[i] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = x
# length 2
for i in range(len(s)-1):
x = s[i]
y = s[i+1]
s[i] = "1"
s[i+1] = "a"
if is_good(s):
print(*s, sep="")
return
s[i] = "1"
s[i+1] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = "a"
s[i+1] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = x
s[i+1] = y
t = int(input())
for _ in range(t):
solve()
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
n = int(input())
abc = 'qwertyuiopasdfghjklzxcvbnm'
ABC = 'QWERTYUIOPASDFGHJKLZXCVBNM'
nu = '0123456789'
d = []
for i in range(n):
coa = 0
coA = 0
co1 = 0
s = input()
for j in range(len(s)):
if s[j] in abc:
coa += 1
continue
elif s[j] in ABC:
coA += 1
continue
elif s[j] in nu:
co1 += 1
d.append(([coa, coA, co1], s))
for i in range(n):
x = d[i][0]
s = d[i][1]
for j in range(len(s)):
if x[0] == 0:
if x[1] - 1 >= 1:
if s[j] in ABC:
if j + 1 < len(s):
s = s[:j] + 'a' + s[j + 1:]
else:
s = s[:j] + 'a'
x[0] += 1
x[1] -= 1
elif x[2] - 1 >= 1:
if s[j] in nu:
if j + 1 < len(s):
s = s[:j] + 'a' + s[j + 1:]
else:
s = s[:j] + 'a'
x[2] -= 1
x[0] += 1
elif x[1] == 0:
if x[0] - 1 >= 1:
if s[j] in abc:
if j + 1 < len(s):
s = s[:j] + 'A' + s[j + 1:]
else:
s = s[:j] + 'A'
x[0] -= 1
x[1] += 1
elif x[2] - 1 >= 1:
if s[j] in nu:
if j + 1 < len(s):
s = s[:j] + 'A' + s[j + 1:]
else:
s = s[:j] + 'A'
x[2] -= 1
x[1] += 1
elif x[2] == 0:
if x[1] - 1 >= 1:
if s[j] in ABC:
if j + 1 < len(s):
s = s[:j] + '1' + s[j + 1:]
else:
s = s[:j] + '1'
x[1] -= 1
x[2] += 1
elif x[0] - 1 >= 1:
if s[j] in abc:
if j + 1 < len(s):
s = s[:j] + '1' + s[j + 1:]
else:
s = s[:j] + '1'
x[0] -= 1
x[2] += 1
print(s)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
def check_pass(password):
upper = False
num = False
lower = False
for ch in password:
if(ord(ch) >= 97 and ord(ch) <= 122):
lower = True
elif(ord(ch) >= 65 and ord(ch) <= 90):
upper = True
elif(int(ch) >= 0 and int(ch) <= 9):
num = True
return {'_acceptable': (upper & lower & num),'upper':upper, 'lower':lower, 'num':num}
def change_char(password, index, conditions):
new_password = list(password)
if(not conditions['upper']):
new_password[index] = 'A'
elif(not conditions['lower']):
new_password[index] = 'a'
elif(not conditions['num']):
new_password[index] = '4'
new_password = "".join(new_password)
obj = check_pass(new_password)
if(not obj['_acceptable']):
if(conditions['upper']):
if(not obj['upper']):
return password
if(conditions['lower']):
if(not obj['lower']):
return password
if(conditions['num']):
if(not obj['num']):
return password
return new_password
# Main Program
n = int(input())
passwords = []
for i in range(n):
passwords.append(input())
for password in passwords:
if(not check_pass(password)['_acceptable']):
index = 0
temp = password
while(not check_pass(password)['_acceptable']):
password = change_char(password, index, check_pass(password))
index += 1
print(password)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
t = int(input())
for _ in range(t):
s = str(input())
l = []
u = []
d = []
for i, c in enumerate(s):
if c.islower():
l.append(i)
elif c.isupper():
u.append(i)
else:
d.append(i)
s = list(s)
if l and u and d:
pass
elif not l and u and d:
if len(u) > len(d):
s[u[0]] = 'a'
else:
s[d[0]] = 'a'
elif l and not u and d:
if len(l) > len(d):
s[l[0]] = 'A'
else:
s[d[0]] = 'A'
elif l and u and not d:
if len(l) > len(u):
s[l[0]] = '1'
else:
s[u[0]] = '1'
elif l and not u and not d:
s[l[0]] = 'A'
s[l[1]] = '1'
elif not l and u and not d:
s[u[0]] = 'a'
s[u[1]] = '1'
elif not l and not u and d:
s[d[0]] = 'a'
s[d[1]] = 'A'
print(''.join(s))
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
for _ in range(int(input())):
C, s = {'0':0, 'A':0, 'a':0}, input()
first = '0' if s[0].isdigit() else 'A' if s[0].isupper() else 'a'
last = '0' if s[-1].isdigit() else 'A' if s[-1].isupper() else 'a'
for ch in s:
if ch.isdigit():
C['0'] += 1
elif ch.isupper():
C['A'] += 1
else:
C['a'] += 1
zeros = sum(not C[x] for x in '0Aa')
if zeros == 2:
print(''.join(set('0Aa') - {first}) + s[2:])
elif zeros == 1:
if C[first] > 1:
print(''.join(x for x, c in C.items() if c == 0) + s[1:])
else:
print(s[:-1] + ''.join(x for x, c in C.items() if c == 0))
else:
print(s)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
for _ in range(int(input())):
s=input()
counta=0
countA=0
count1=0
for j in range(len(s)):
if ord('a')<=ord(s[j])<=ord('z'):
counta+=1
elif ord('A')<=ord(s[j])<=ord('Z'):
countA+=1
else:
count1+=1
k=0;l=0
if count1!=0 and counta!=0 and countA!=0:
print(s)
elif count1+counta+countA==count1:
s=s[:len(s)-1]+'a'
s=s[:len(s)-2]+'A'+s[-1]
print(s)
elif count1+counta+countA==count1:
s=s[:len(s)-1]+'a'
s=s[:len(s)-2]+'A'+s[-1]
print(s)
elif count1+counta+countA==counta:
s=s[:len(s)-1]+'1'
s=s[:len(s)-2]+'A'+s[-1]
print(s)
elif count1+counta+countA==countA:
s=s[:len(s)-1]+'1'
s=s[:len(s)-2]+'a'+s[-1]
print(s)
elif count1==0:
for i in range(len(s)):
if ord('a')<=ord(s[i])<=ord('z'):
k+=1
if ord('A')<=ord(s[i])<=ord('Z'):
l+=1
if k>1 or l>1:
s=s[:i]+'1'+s[i+1:]
print(s)
break
elif counta==0:
for i in range(len(s)):
if ord('0')<=ord(s[i])<=ord('9'):
k+=1
if ord('A')<=ord(s[i])<=ord('Z'):
l+=1
if k>1 or l>1:
s=s[:i]+'a'+s[i+1:]
print(s)
break
elif countA==0:
for i in range(len(s)):
if ord('a')<=ord(s[i])<=ord('z'):
k+=1
if ord('0')<=ord(s[i])<=ord('9'):
l+=1
if k>1 or l>1:
s=s[:i]+'A'+s[i+1:]
print(s)
break
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
import string
(t,) = map(int, input().split())
def invalid(s):
minus = len(list(filter(lambda x: x in string.ascii_lowercase, s)))
mayus = len(list(filter(lambda x: x in string.ascii_uppercase, s)))
digits = len(list(filter(lambda x: x in string.digits, s)))
return any((minus == 0, mayus == 0, digits == 0))
def gen_str(s):
minus = len(list(filter(lambda x: x in string.ascii_lowercase, s)))
mayus = len(list(filter(lambda x: x in string.ascii_uppercase, s)))
digits = len(list(filter(lambda x: x in string.digits, s)))
result = ''
if minus == 0:
result += 'a'
if mayus == 0:
result += 'A'
if digits == 0:
result += '0'
return result
for _ in range(t):
s = input()
new_s = s
if invalid(s):
t = gen_str(s)
new_s = t + s[len(t):]
if invalid(new_s):
new_s = s[:-len(t)] + t
print(new_s)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Tags: greedy, implementation, strings
Correct Solution:
```
n = int(input())
B = [{"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"} ,{"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"}]
for i in range(n):
s = input()
A = [0] * 3
for i in range(len(s)):
for j in range(3):
if s[i] in B[j]:
A[j] += 1
if A[0] != 0 and A[1] != 0 and A[2] != 0:
print(s)
else:
for j1 in range(3):
j2 = (j1 + 1) % 3
j3 = (j1 + 2) % 3
if A[j1] == 0 and A[j2] != 0 and A[j3] != 0:
if (s[0] in B[j2] and A[j2] > 1) or (s[0] in B[j3] and A[j3] > 1):
h = str(B[j1].pop())
B[j1].add(h)
print(h + s[1:])
break
else:
h = str(B[j1].pop())
B[j1].add(h)
print(s[0] + str(h) + s[2:])
break
elif A[j1] == 0:
h = str(B[j1].pop())
B[j1].add(h)
if A[j2] == 0:
h1 = str(B[j2].pop())
B[j2].add(h1)
print(h + h1 + s[2:])
break
else:
h1 = str(B[j3].pop())
B[j3].add(h1)
print(h + h1 + s[2:])
break
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
import string
n = int(input())
def chr2id(c):
if c in string.ascii_uppercase:
return 1
if c in string.digits:
return 2
return 0
repl = ['a', 'A', '1']
for _ in range(n):
s = input()
arr = [0] * len(s)
chr_ids = [0] * len(s)
last_n = [0] * 3
id_counts = [0] * 3
last_id = chr2id(s[0])
id_counts[last_id] = 1
chr_ids[0] = last_id
for i, c in enumerate(s[1:]):
c_id = chr2id(c)
chr_ids[i+1] = c_id
id_counts[c_id] += 1
if last_id == c_id:
arr[i+1] = arr[i] + 1
if arr[i+1] < len(last_n):
last_n[arr[i+1]] = i + 1
else:
last_n.append(i+1)
last_id = c_id
change_count = sum(map(lambda x: x == 0, id_counts))
if change_count == 0:
print(s)
continue
l = change_count
while last_n[l] == 0 and l > 0:
l -= 1
i = last_n[l]
if l == 0:
left = 0
right = 0
for i, c in enumerate(chr_ids):
if chr_ids[left] == chr_ids[i] and id_counts[c] > change_count:
right = i
else:
left = right = i
if right - left >= change_count:
break
i = right
i += 1
c = 0
s = list(s)
for j in range(i - change_count, i):
while(id_counts[c] > 0):
c += 1
s[j] = repl[c]
c += 1
print(''.join(s))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
from collections import defaultdict
t = []
for i in range(int(input())):
t.append(input())
v_const = {
'upper': 'A',
'lower': 'a',
'numbers': '1',
}
char_types = list(v_const.keys())
n_const = [str(i) for i in range(10)]
for p in t:
indexes = defaultdict(list)
for i, v in enumerate(p):
if v in n_const:
indexes['numbers'].append(i)
elif v.islower():
indexes['lower'].append(i)
else:
indexes['upper'].append(i)
missing_arrays = {key: None for key in char_types if key not in indexes}
keys = list(missing_arrays.keys())
if len(keys) == 0:
print(p)
elif len(keys) == 1:
for key, val in indexes.items():
if len(val) > 1:
missing_arrays[keys[0]] = val[0]
break
n_p = list(p)
n_p[missing_arrays[keys[0]]] = v_const[keys[0]]
print(''.join(n_p))
else:
n_p = list(p)
n_p[0] = v_const[keys[0]]
n_p[1] = v_const[keys[1]]
print(''.join(n_p))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
T = int(input())
hs = [
{chr(x) for x in range(ord('0'), ord('9')+1, 1)},
{chr(x) for x in range(ord('a'), ord('z')+1, 1)},
{chr(x) for x in range(ord('A'), ord('Z')+1, 1)}
]
hch = ['1','a','A']
for t in range(T):
s = input()
c = [0] * 3
for i in range(len(s)):
if s[i] in hs[0]:
c[0] += 1
elif s[i] in hs[1]:
c[1] += 1
else:
c[2] += 1
if c.count(0) == 0:
print(s)
continue
ls = list(s.strip())
if c.count(0) == 2:
ip = 0
for hi in range(3):
if c[hi] == 0:
ls[ip] = hch[hi]
ip += 1
print(*ls, sep='')
continue
# c.count(0) == 1:
iipos = 0
while c[iipos] < 2:
iipos += 1
ip = 0
while ls[ip] not in hs[iipos]:
ip += 1
ls[ip] = hch[c.index(0)]
print(*ls, sep='')
continue
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
# -*- coding: utf-8 -*-
# @Date : 2018-09-22 16:53:43
# @Author : raj lath (oorja.halt@gmail.com)
# @Link : http://codeforces.com/contest/1051/problem/A
# @Version : 1.0.0
from sys import stdin
max_val=int(10e12)
min_val=int(-10e12)
def read_int() : return int(stdin.readline())
def read_ints() : return [int(x) for x in stdin.readline().split()]
def read_str() : return input()
def read_strs() : return [x for x in stdin.readline().split()]
def get_id(a):
c_id = 2
if "a" <= a <= "z": c_id = 0
if "A" <= a <= "Z": c_id = 1
return c_id
nb_test = read_int()
for _ in range(nb_test):
replacement = ["a","A","1"]
password = [x for x in input()]
c_counts = [0] * 3
for i in password:
c_counts[get_id(i)] += 1
for i,v in enumerate(password):
ids = get_id(v)
if c_counts[ids] > 1:
for j in range(3):
if not c_counts[j]:
password[i] = replacement[j]
c_counts[ids] -= 1
c_counts[j] += 1
break
print(''.join(password))
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
for _ in [0]*int(input()):
s=list(input())
l=[-1]*3
for i,c in enumerate(s):
l[(c>'9')+(c>'Z')]=i
for i in range(len(s)):
j = (s[i]>'0')+(s[i]>'Z')
if l[j]<0and s[i]not in l:s[i]='0Aa'[j];l[j]=i
print(''.join(s))
```
No
| 15,102 | [
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
def solve(s):
tp = ['']*len(s)
pat = {'a' , 'A' , '0'}
for i , ch in enumerate(s):
if ch.isupper():
tp[i] = 'A'
elif ch.islower():
tp[i] = 'a'
else:
tp[i] = '0'
st = set(tp)
if len(st) == 3 :
return s
elif len(st) == 1:
return ''.join(pat - st) + s[2 : ]
else:
#if tp[0] == tp[1]:
return ''.join(pat - st) + s[1 : ]
#else:
#return s[:-1] + ''.join(pat - st)
t = int(input())
for tt in range(t):
s = input()
print(solve(s))
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
for _ in range(int(input())):
s = list(input())
low, up, dig = 0, 0, 0
for c in s:
if c.isupper():
up += 1
elif c.islower():
low += 1
else:
dig += 1
if up > 0 and low > 0 and dig > 0:
print("".join(s))
else:
if len(s) == low:
s[0] = "1"
s[1] = "A"
elif len(s) == up:
s[0] = "1"
s[1] = "a"
elif len(s) == dig:
s[0] = "a"
s[1] = "A"
elif low == 0:
if s[0].isupper and up > 1:
s[0] = "a"
elif s[0].isdigit() and dig > 1:
s[0] = "a"
else:
s[1] = "a"
elif up == 0:
if s[0].islower and low > 1:
s[0] = "A"
elif s[0].isdigit() and dig > 1:
s[0] = "A"
else:
s[1] = "A"
else: #dig == 0
if s[0].isupper and up > 1:
s[0] = "1"
elif s[0].islower() and lower > 1:
s[0] = "1"
else:
s[1] = "1"
print("".join(s))
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya came up with a password to register for EatForces — a string s. The password in EatForces should be a string, consisting of lowercase and uppercase Latin letters and digits.
But since EatForces takes care of the security of its users, user passwords must contain at least one digit, at least one uppercase Latin letter and at least one lowercase Latin letter. For example, the passwords "abaCABA12", "Z7q" and "3R24m" are valid, and the passwords "qwerty", "qwerty12345" and "Password" are not.
A substring of string s is a string x = s_l s_{l + 1} ... s_{l + len - 1} (1 ≤ l ≤ |s|, 0 ≤ len ≤ |s| - l + 1). len is the length of the substring. Note that the empty string is also considered a substring of s, it has the length 0.
Vasya's password, however, may come too weak for the security settings of EatForces. He likes his password, so he wants to replace some its substring with another string of the same length in order to satisfy the above conditions. This operation should be performed exactly once, and the chosen string should have the minimal possible length.
Note that the length of s should not change after the replacement of the substring, and the string itself should contain only lowercase and uppercase Latin letters and digits.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of testcases.
Each of the next T lines contains the initial password s~(3 ≤ |s| ≤ 100), consisting of lowercase and uppercase Latin letters and digits.
Only T = 1 is allowed for hacks.
Output
For each testcase print a renewed password, which corresponds to given conditions.
The length of the replaced substring is calculated as following: write down all the changed positions. If there are none, then the length is 0. Otherwise the length is the difference between the first and the last changed position plus one. For example, the length of the changed substring between the passwords "abcdef" → "a7cdEf" is 4, because the changed positions are 2 and 5, thus (5 - 2) + 1 = 4.
It is guaranteed that such a password always exists.
If there are several suitable passwords — output any of them.
Example
Input
2
abcDCE
htQw27
Output
abcD4E
htQw27
Note
In the first example Vasya's password lacks a digit, he replaces substring "C" with "4" and gets password "abcD4E". That means, he changed the substring of length 1.
In the second example Vasya's password is ok from the beginning, and nothing has to be changed. That is the same as replacing the empty substring with another empty substring (length 0).
Submitted Solution:
```
from sys import stdin
input = stdin.readline
def is_good(arr):
digit = False
upper = False
lower = False
for c in arr:
if c.isdigit():
digit = True
elif c.isupper():
upper = True
else:
lower = True
return (digit and upper and lower)
def solve():
s = list(input().rstrip())
# length 0
if is_good(s):
print(*s, sep="")
return
# length 1
for i in range(len(s)):
x = s[i]
s[i] = "1"
if is_good(s):
print(*s, sep="")
return
s[i] = "a"
if is_good(s):
print(*s, sep="")
return
s[i] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = x
# length 2
for i in range(len(s)-1):
x = s[i]
y = s[i+1]
s[i] = "1"
s[i] = "a"
if is_good(s):
print(*s, sep="")
return
s[i] = "1"
s[i] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = "a"
s[i] = "A"
if is_good(s):
print(*s, sep="")
return
s[i] = x
s[i] = y
t = int(input())
for _ in range(t):
solve()
```
No
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
from sys import stdin
n, k = [int(i) for i in stdin.readline().strip().split()]
s = stdin.readline().strip()
class Subsequences:
def __init__(self, sequence):
self._seq = list(sequence)
self._F = [len(sequence) * [0] for _ in range((len(sequence) + 1))]
self._calc()
def _calc(self):
# iterative solution F[size][index] given number of distinct subsequences of given size
# in slice [0: index + 1] of original sequence
F = self._F
size = 0
for index in range(len(s)):
F[size][index] = 1
F[1][0] = 1
p = {s[0]: 0}
for i in range(1, len(s)):
for k in range(1, len(s) + 1):
if k > i + 1:
val = 0
else:
val = F[k][i - 1] + F[k - 1][i - 1]
if s[i] in p:
val -= F[k - 1][p[s[i]] - 1]
F[k][i] = val
p[s[i]] = i
def count(self, size, index=None):
index = index or (len(self._seq) - 1)
return self._F[size][index]
# recursive solution with memoization
previous_letter_index = {}
found = {}
for index, letter in enumerate(s):
if letter in found:
previous_letter_index[(letter, index)] = found[letter]
found[letter] = index
_subsequences = {}
def subsequences(size, index):
"""Get number of distinct subsequences of given size in sequence[0:index + 1] slice"""
if (size, index) not in _subsequences:
if size == 0:
res = 1
elif size > index + 1:
res = 0
else:
res = subsequences(size, index - 1) + subsequences(size - 1, index - 1)
letter = s[index]
if (letter, index) in previous_letter_index:
res -= subsequences(size - 1, previous_letter_index[(letter, index)] - 1)
_subsequences[(size, index)] = res
return _subsequences[(size, index)]
ss = Subsequences(s)
total_cost = 0
for size in range(len(s), -1, -1):
if k == 0:
break
step_cost = n - size
sequence_count = subsequences(size, len(s) - 1)
if sequence_count > k:
sequence_count = k
total_cost += step_cost * sequence_count
k -= sequence_count
if k == 0:
print(total_cost)
else:
print(-1)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
# your code goes here
n,k=map(int,input().split())
s=input()
c=0
q=[s]
d=set()
ls=0
while q:
p=q.pop(0)
if p not in d:
ls+=1
c+=(n-len(p))
if ls==k:
break
d.add(p)
for i in range(len(p)):
temp=p[:i]+p[i+1:]
if temp not in d:
q.append(temp)
if ls==k:
print(c)
else:
print(-1)
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
# ------------------------------
from math import factorial
from collections import Counter, defaultdict, deque
from heapq import heapify, heappop, heappush
def RL(): return map(int, sys.stdin.readline().rstrip().split())
def RLL(): return list(map(int, sys.stdin.readline().rstrip().split()))
def N(): return int(input())
def comb(n, m): return factorial(n) / (factorial(m) * factorial(n - m)) if n >= m else 0
def perm(n, m): return factorial(n) // (factorial(n - m)) if n >= m else 0
def mdis(x1, y1, x2, y2): return abs(x1 - x2) + abs(y1 - y2)
mod = 998244353
INF = float('inf')
# ------------------------------
def c(chr): return ord(chr)-ord('a')
def main():
n, k = RL()
s = input()
dp = [[0]*(n+1) for i in range(n+1)]
rec = [-1]*26
pre = [-1]*n
for i in range(n+1):
dp[i][0] = 1
for i in range(n):
now = c(s[i])
pre[i] = rec[now]
rec[now] = i
for i in range(1, n+1):
for j in range(1, i+1):
# if j>i: break
dp[i][j] = dp[i-1][j] + dp[i-1][j-1]
# if i == 6 and j == 1: print(dp[i-1][j], dp[i-1][j-1])
if pre[i-1]!=-1:
# if i==5 and j==4: print(pre[i-1], '+++')
# if i==6 and j==1: print(pre[i-1], dp[pre[i-1]][j], dp[i][j])
dp[i][j] -= dp[pre[i-1]][j-1]
res = 0
for j in range(n, -1, -1):
if k:
num = min(k, dp[-1][j])
k-=num
res += (n-j)*num
# for i in dp: print(i)
print(res if k==0 else -1)
if __name__ == "__main__":
main()
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import sys
n, k = map(int, sys.stdin.readline().split(' '))
s = sys.stdin.readline().strip()
lt = [s]
count = 0
flag = False
result = 0
while lt:
cur_s = lt[0]
lt.pop(0)
result += len(s) - len(cur_s)
count += 1
if count >= k:
break
for i in range(0, len(cur_s)):
new_s = cur_s[0: i] + cur_s[i + 1: ]
if new_s not in lt:
lt.append(new_s)
if count < k:
sys.stdout.write(str(-1) + '\n')
else:
sys.stdout.write(str(result) + '\n')
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import sys
input=sys.stdin.readline
from collections import deque
n,k=map(int,input().split())
s=list(input().rstrip())
vis=set()
dq=deque(["".join(s)])
cnt=0
score=0
while dq:
ss=dq.popleft()
if ss not in vis:
score+=n-len(ss)
cnt+=1
vis.add(ss)
else:
continue
if cnt>=k:
break
for i in range(len(ss)):
nxt=ss[:i]+ss[i+1:]
dq.append("".join(nxt))
if cnt<k:
print(-1)
else:
print(score)
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
if __name__ == '__main__':
n, k = map(int, input().split())
aa = list(input())
st = {"".join(aa)}
arr = [aa]
w = 0
c = 0
cst = 0
while len(arr) < k and w < len(arr):
wrd = arr[w][:c] + arr[w][c + 1:]
wrds = "".join(wrd)
if wrds not in st:
st.add(wrds)
arr.append(wrd)
cst += n - len(wrd)
c += 1
if c >= len(arr[w]):
c = 0
w += 1
if len(arr) < k:
print(-1)
else:
print(cst)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
n, k = map(int, input().split())
s = input()
dp = [[0] * 102 for i in range(102)]
dp1 = [[0] * 102 for i in range(30)]
for i in range(0, n + 1):
dp[i][0] = 1
for i in range(1, n + 1):
nm = ord(s[i - 1]) - ord('a')
for le in range(1, i + 1):
dp[i][le] = dp[i - 1][le] + dp[i - 1][le - 1]
dp[i][le] -= dp1[nm][le]
for le in range(1, i + 1):
dp1[nm][le] += (dp[i][le] - dp[i - 1][le])
ans = 0
for le in range(n, -1, -1):
if k == 0:
break
x = min(dp[n][le], k)
ans += (n - le) * x
k -= x
if k != 0:
print(-1)
else:
print(ans)
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
# ------------------------------
from math import factorial
from collections import Counter, defaultdict, deque
from heapq import heapify, heappop, heappush
def RL(): return map(int, sys.stdin.readline().rstrip().split())
def RLL(): return list(map(int, sys.stdin.readline().rstrip().split()))
def N(): return int(input())
def comb(n, m): return factorial(n) / (factorial(m) * factorial(n - m)) if n >= m else 0
def perm(n, m): return factorial(n) // (factorial(n - m)) if n >= m else 0
def mdis(x1, y1, x2, y2): return abs(x1 - x2) + abs(y1 - y2)
mod = 998244353
INF = float('inf')
# ------------------------------
def main():
n, k = RL()
s = input()
q = deque()
q.append(s)
res = 0
rec = set()
rec.add(s)
while q:
now = q.popleft()
res+=n-len(now)
if len(rec)>=k: continue
for i in range(len(now)):
nex = now[:i]+now[i+1:]
if nex in rec: continue
rec.add(nex)
if len(rec)<=k: q.append(nex)
print(res if len(rec)>=k else -1)
if __name__ == "__main__":
main()
```
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
R = lambda: map(int, input().split())
n,k = R()
s = input()
p = [s]
ans = 0
d= set()
while p:
q = p.pop(0)
if q not in d:
k -= 1
ans += (n-len(q))
if k == 0:
print(ans)
quit()
d.add(q)
for i in range(len(q)):
t = q[:i]+q[i+1:]
if t not in p:p.append(t)
print(-1)
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
n, k = map(int, input().split())
str = str(input())
q = [str]
ans = 0
ma = {}
while len(q) != 0 and k > 1 :
s = q[0]
q.remove(q[0])
for i in range(len(s)):
ss = s
s1 = ss[0:i]
s2 = ss[i+1:]
ss = s1 + s2
if ss not in ma.keys() :
ma[ss] = 1
k -= 1
ans += n - len(ss)
q.append(ss)
if k == 1 : break
if k == 1 :
print(ans)
else :
print(-1)
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
import sys
from itertools import combinations
from functools import lru_cache
from string import ascii_lowercase
@lru_cache()
def e(n, l):
return sum(d(n, l, x) for x in letters)
@lru_cache()
def d(n, l, c):
if n < l:
return 0
if s[n - 1] != c:
return d(n - 1, l, c)
return e(n - 1, l - 1) if l > 1 else 1
def solve(s, k):
n = len(s)
cost = 0
for l in range(n, 0, -1):
cnt = e(n, l)
if k > cnt:
k -= cnt
cost += cnt * (n - l)
else:
cost += k * (n - l)
k = 0
break
if k > 1:
return -1
if k == 1:
cost += n
k = 0
return cost
n, k = map(int, input().split())
s = input()
letters = set(s)
print(solve(s, k))
```
Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
import sys
import itertools
inputs = sys.stdin.read().split()
len_string = int(inputs[0])
desired_size = int(inputs[1])
string = inputs[2]
size = 0
cost = 0
cur_set = set()
cur_set.add(string)
for i in range(len_string, -1, -1):
cur_size = len(cur_set)
if size+cur_size >= desired_size:
cost += (desired_size-size)*(len_string-i)
size = desired_size
break
cost += cur_size*(len_string-i)
size += cur_size
new_set = set()
for substr in cur_set:
for i in range(len(substr)):
new_set.add(substr[:i]+substr[(i+1):])
cur_set = new_set
if size >= desired_size: sys.stdout.write(str(cost)+"\n")
else: sys.stdout.write("-1\n")
```
Yes
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
line1 = input().split(' ')
n = int(line1[0])
k = int(line1[1])
s = list(input())
dp = [101*[0] for i in range(101)]
last = 26*[-1]
for i in range(n+1):
dp[0][i] = 1
for l in range(1, n+1):
dp[l][0] = 0
for c in range(26):
last[c] = -1
for i in range(1, n+1):
dp[l][i] = dp[l-1][i-1] + dp[l][i-1]
if last[ord(s[i-1])-ord('a')] != -1:
dp[l][i] -= dp[l][last[ord(s[i-1])-ord('a')]]
last[ord(s[i-1])-ord('a')] = i
i = 0
res = 0
while i <= n and k >= 0:
c = min(k, dp[n-i][n])
k -= c
res += c * i
i += 1
if k > 0:
print(-1)
else:
print(res)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
# File : H.py
# Author : JCHRYS <jchrys@me.com>
# Date : 30.08.2019
# Last Modified Date: 30.08.2019
# Last Modified By : JCHRYS <jchrys@me.com>
class const:
size = 26; # size of lowercase alphabet
n, k = map(int, input().split());
s = input();
maxpos = [[-1 for _ in range(const.size)] for _ in range(n)];
for i in range(n):
for j in range(const.size):
if i > 0:
maxpos[i][j] = maxpos[i - 1][j]
maxpos[i][ord(s[i]) - ord('a')] = i
#print(*[row for row in maxpos], sep="\n")
dp = [[0 for _ in range(n)] for _ in range(n)];
for i in range(n):
dp[i][1] = 1
for length in range(2, n):
for endswith in range(1, n):
for before in range(const.size):
if maxpos[endswith - 1][before] != -1:
dp[endswith][length] = dp[endswith][length] + dp[maxpos[endswith - 1][before]][length - 1];
#print(*[row for row in dp], sep="\n")
k -= 1;
ans = 0;
for length in range(n-1, 0, -1):
temp = 0;
for i in range(const.size):
if (maxpos[n-1][i] != -1):
temp += dp[maxpos[n-1][i]][length];
if temp >= k:
ans += k * (n - length);
k = 0;
break;
else:
k -= temp;
ans += temp * (n-length);
if (k == 1):
ans += n;
if k > 0:
print(-1)
exit()
print(ans)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
from collections import deque
n,k = map(int, input().split())
s = input()
count = 1
clen = len(s)
result = 0
squeue = deque()
squeue.append((s,0))
while count < k and clen > 0:
base, spos = squeue.popleft()
if len(base) == clen:
sset = set()
clen -= 1
for i in range(spos,len(base)):
candidate = base[:i] + base[i+1:]
if candidate.__hash__() not in sset:
sset.add(candidate.__hash__())
squeue.append((candidate,i))
result += n-clen
count+=1
if count == k:
break
if count == k:
print(result)
else:
print(-1)
```
No
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] | 0 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successively, there can be any gaps between them. For example, for the string "abaca" the following strings are subsequences: "abaca", "aba", "aaa", "a" and "" (empty string). But the following strings are not subsequences: "aabaca", "cb" and "bcaa".
You are given a string s consisting of n lowercase Latin letters.
In one move you can take any subsequence t of the given string and add it to the set S. The set S can't contain duplicates. This move costs n - |t|, where |t| is the length of the added subsequence (i.e. the price equals to the number of the deleted characters).
Your task is to find out the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Input
The first line of the input contains two integers n and k (1 ≤ n, k ≤ 100) — the length of the string and the size of the set, correspondingly.
The second line of the input contains a string s consisting of n lowercase Latin letters.
Output
Print one integer — if it is impossible to obtain the set S of size k, print -1. Otherwise, print the minimum possible total cost to do it.
Examples
Input
4 5
asdf
Output
4
Input
5 6
aaaaa
Output
15
Input
5 7
aaaaa
Output
-1
Input
10 100
ajihiushda
Output
233
Note
In the first example we can generate S = { "asdf", "asd", "adf", "asf", "sdf" }. The cost of the first element in S is 0 and the cost of the others is 1. So the total cost of S is 4.
Submitted Solution:
```
def check_word(word_list, word_need):
unique = []
for i in range(len(word_list)):
# Pick each word in the list
if word_need == 0:
break
for j in range(len(word_list[i])):
if word_need == 0:
break
# Check word without 1 char is in unique
new_word = word_list[i][:j]+word_list[i][j+1:]
if new_word not in unique:
unique.append(new_word)
word_need -= 1
return unique
def check_all():
cost_sum = 0
cost_each = 1
[raw_length, raw_size] = input().split()
size = int(raw_size)
words = input().split()
size -= 1
while size>0:
if len(words[0]) == 0:
return -1
words = check_word(words, size)
print(len(words))
cost_sum += len(words)*cost_each
cost_each += 1
size -= len(words)
return cost_sum
print(check_all())
```
No
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input
The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.
Output
Print the lexicographically largest palindromic subsequence of string s.
Examples
Input
radar
Output
rr
Input
bowwowwow
Output
wwwww
Input
codeforces
Output
s
Input
mississipp
Output
ssss
Note
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
Tags: binary search, bitmasks, brute force, greedy, implementation, strings
Correct Solution:
```
I = lambda: int(input())
IL = lambda: list(map(int, input().split()))
s = list(input())
print(max(s) * s.count(max(s)))
```
| 15,341 | [
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Provide tags and a correct Python 3 solution for this coding contest problem.
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input
The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.
Output
Print the lexicographically largest palindromic subsequence of string s.
Examples
Input
radar
Output
rr
Input
bowwowwow
Output
wwwww
Input
codeforces
Output
s
Input
mississipp
Output
ssss
Note
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
Tags: binary search, bitmasks, brute force, greedy, implementation, strings
Correct Solution:
```
## necessary imports
import sys
input = sys.stdin.readline
from math import ceil, floor, factorial;
# swap_array function
def swaparr(arr, a,b):
temp = arr[a];
arr[a] = arr[b];
arr[b] = temp
## gcd function
def gcd(a,b):
if a == 0:
return b
return gcd(b%a, a)
## nCr function efficient using Binomial Cofficient
def nCr(n, k):
if(k > n - k):
k = n - k
res = 1
for i in range(k):
res = res * (n - i)
res = res / (i + 1)
return int(res)
## upper bound function code -- such that e in a[:i] e < x;
def upper_bound(a, x, lo=0):
hi = len(a)
while lo < hi:
mid = (lo+hi)//2
if a[mid] < x:
lo = mid+1
else:
hi = mid
return lo
## prime factorization
def primefs(n):
## if n == 1 ## calculating primes
primes = {}
while(n%2 == 0):
primes[2] = primes.get(2, 0) + 1
n = n//2
for i in range(3, int(n**0.5)+2, 2):
while(n%i == 0):
primes[i] = primes.get(i, 0) + 1
n = n//i
if n > 2:
primes[n] = primes.get(n, 0) + 1
## prime factoriazation of n is stored in dictionary
## primes and can be accesed. O(sqrt n)
return primes
## MODULAR EXPONENTIATION FUNCTION
def power(x, y, p):
res = 1
x = x % p
if (x == 0) :
return 0
while (y > 0) :
if ((y & 1) == 1) :
res = (res * x) % p
y = y >> 1
x = (x * x) % p
return res
## DISJOINT SET UNINON FUNCTIONS
def swap(a,b):
temp = a
a = b
b = temp
return a,b
# find function with path compression included (recursive)
# def find(x, link):
# if link[x] == x:
# return x
# link[x] = find(link[x], link);
# return link[x];
# find function with path compression (ITERATIVE)
def find(x, link):
p = x;
while( p != link[p]):
p = link[p];
while( x != p):
nex = link[x];
link[x] = p;
x = nex;
return p;
# the union function which makes union(x,y)
# of two nodes x and y
def union(x, y, link, size):
x = find(x, link)
y = find(y, link)
if size[x] < size[y]:
x,y = swap(x,y)
if x != y:
size[x] += size[y]
link[y] = x
## returns an array of boolean if primes or not USING SIEVE OF ERATOSTHANES
def sieve(n):
prime = [True for i in range(n+1)]
p = 2
while (p * p <= n):
if (prime[p] == True):
for i in range(p * p, n+1, p):
prime[i] = False
p += 1
return prime
#### PRIME FACTORIZATION IN O(log n) using Sieve ####
MAXN = int(1e6 + 5)
def spf_sieve():
spf[1] = 1;
for i in range(2, MAXN):
spf[i] = i;
for i in range(4, MAXN, 2):
spf[i] = 2;
for i in range(3, ceil(MAXN ** 0.5), 2):
if spf[i] == i:
for j in range(i*i, MAXN, i):
if spf[j] == j:
spf[j] = i;
## function for storing smallest prime factors (spf) in the array
################## un-comment below 2 lines when using factorization #################
# spf = [0 for i in range(MAXN)]
# spf_sieve()
def factoriazation(x):
ret = {};
while x != 1:
ret[spf[x]] = ret.get(spf[x], 0) + 1;
x = x//spf[x]
return ret
## this function is useful for multiple queries only, o/w use
## primefs function above. complexity O(log n)
## taking integer array input
def int_array():
return list(map(int, input().strip().split()))
## taking string array input
def str_array():
return input().strip().split();
#defining a couple constants
MOD = int(1e9)+7;
CMOD = 998244353;
INF = float('inf'); NINF = -float('inf');
################### ---------------- TEMPLATE ENDS HERE ---------------- ###################
s = input().strip();
mx = -1;
for i in s:
mx = max(mx, ord(i));
this = chr(mx);
ans = this*(s.count(this));
print(ans);
```
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] | 0 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input
The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.
Output
Print the lexicographically largest palindromic subsequence of string s.
Examples
Input
radar
Output
rr
Input
bowwowwow
Output
wwwww
Input
codeforces
Output
s
Input
mississipp
Output
ssss
Note
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
Tags: binary search, bitmasks, brute force, greedy, implementation, strings
Correct Solution:
```
def Filter(a, n):
j = 0
ans = []
while n > 0:
last_bit = n & 1
if last_bit:
ans.append(a[j])
j += 1
n = n >> 1
return ans
def subs(a):
ultimate = []
for i in range(1 << len(a)):
ultimate.append(Filter(a, i))
return ultimate
def size(ch): return sum([ord(i) for i in ch])
s = input()
res = []
for i in subs(s):
if len(set(i)) == 1:
res.append(i)
res.sort()
print("".join(res[-1]))
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input
The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.
Output
Print the lexicographically largest palindromic subsequence of string s.
Examples
Input
radar
Output
rr
Input
bowwowwow
Output
wwwww
Input
codeforces
Output
s
Input
mississipp
Output
ssss
Note
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
Tags: binary search, bitmasks, brute force, greedy, implementation, strings
Correct Solution:
```
c = input() ; print(max(c) * c.count(max(c)));
```
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Provide tags and a correct Python 3 solution for this coding contest problem.
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string s[p1p2... pk] = sp1sp2... spk (1 ≤ p1 < p2 < ... < pk ≤ |s|) a subsequence of string s = s1s2... s|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String x = x1x2... x|x| is lexicographically larger than string y = y1y2... y|y| if either |x| > |y| and x1 = y1, x2 = y2, ..., x|y| = y|y|, or there exists such number r (r < |x|, r < |y|) that x1 = y1, x2 = y2, ..., xr = yr and xr + 1 > yr + 1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String s = s1s2... s|s| is a palindrome if it matches string rev(s) = s|s|s|s| - 1... s1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input
The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.
Output
Print the lexicographically largest palindromic subsequence of string s.
Examples
Input
radar
Output
rr
Input
bowwowwow
Output
wwwww
Input
codeforces
Output
s
Input
mississipp
Output
ssss
Note
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
Tags: binary search, bitmasks, brute force, greedy, implementation, strings
Correct Solution:
```
s = input()
maxn = max(s)
for i in s:
if i == maxn:
print(i,end="")
print("")
```
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