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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
a, b = input(), input()
i = 0
j = len(a) // len(b)
e = a.count('?')
from collections import Counter
ca, cb = Counter(a), Counter(b)
while i <= j:
m = (i + j) // 2
if sum(cb[x] * m - min(cb[x] * m, ca[x]) for x in set(b)) <= e:
i = m + 1
else:
j = m - 1
r = []
for i in set(b):
r.extend([*i * max(0, cb[i] * j - ca[i])])
ans = [*a]
for i in range(len(a)):
if ans[i] == '?':
if len(r):
ans[i] = r[-1]
del r[-1]
else:
ans[i] = 'a'
print(''.join(ans))
```
Yes
| 5,548
|
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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 two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
import sys
input = sys.stdin.readline
def solve():
s = input().strip()
t = input().strip()
t_dict = {}
s_dict = {}
for c in t:
if c in t_dict:
t_dict[c] += 1
else:
t_dict[c] = 1
s_dict[c] = 0
for c in s:
if c in s_dict:
s_dict[c] += 1
elif c != '?':
s_dict[c] = 1
def good(x):
return sum([max(0, x * t_dict[c] - s_dict[c]) for c in t_dict]) <= s.count('?')
l = 0
r = len(s) + 1
while r - l > 1:
m = (l + r) // 2
if good(m):
l = m
else:
r = m
s = list(s)
chars = [c for c in t_dict]
i = 0
for j in range(len(s)):
while i < len(chars) and s_dict[chars[i]] >= l * t_dict[chars[i]]:
i += 1
if i == len(chars) and s[j] == '?':
s[j] = 'x'
elif s[j] == '?':
s[j] = chars[i]
s_dict[chars[i]] += 1
return ''.join(s)
print(solve())
```
Yes
| 5,549
|
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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 two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
#Bhargey Mehta (Sophomore)
#DA-IICT, Gandhinagar
import sys, math, queue, bisect
#sys.stdin = open("input.txt", "r")
MOD = 10**9+7
sys.setrecursionlimit(1000000)
def can(x):
rem = ops
for k in need:
rem -= max(0, x*need[k]-have[k])
return rem >= 0
s = list(input())
t = input()
need, have = {}, {}
for ti in t:
if ti in need:
need[ti] += 1
else:
have[ti] = 0
need[ti] = 1
ops = 0
for si in s:
if si in have: have[si] += 1
elif si == '?': ops += 1
low, high = 0, len(s)//len(t)
while low <= high:
mid = (low+high)//2
if can(mid):
ans = mid
low = mid+1
else:
high = mid-1
x = []
for k in need:
for i in range(max(0, ans*need[k]-have[k])):
x.append(k)
j = 0
for i in range(len(s)):
if s[i] != '?': continue
if j == len(x): s[i] = 'z'
else:
s[i] = x[j]
j += 1
print(''.join(s))
```
Yes
| 5,550
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
s,t=input(),input()
n=len(s)
m=len(t)
i=0
while i<n-m+1:
v=[d for d in t if d not in s]
k=s[i:i+m].count('?')
if len(v)==k:
for _ in range(k):
s=s.replace('?',v.pop(0),1)
i+=m
else:i+=1
print(s.replace('?','z'))
```
No
| 5,551
|
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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 two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
s = input()
t = input()
Ds = {chr(97 + i) : 0 for i in range(26)}
Ds["?"] = 0
Dt = {chr(97 + i) : 0 for i in range(26)}
Dcnt = {chr(97 + i) : 0 for i in range(26)}
A = list(Dt)
A.sort()
for u in s:
Ds[u] += 1
for u in t:
Dt[u] += 1
cnt = 0
for u in A:
if Dt[u] == 0:
continue
Dcnt[u] = Dt[u] - Ds[u]
cnt += Dcnt[u]
while cnt + len(t) <= Ds["?"]:
for a in A:
Dcnt[a] += Dt[a]
cnt += Dt[a]
s = list(s)
Dcnt["z"] += 1000000
for i,u in enumerate(s):
if s[i] == "?":
for a in A:
if Dcnt[a] > 0:
Dcnt[a] -= 1
s[i] = a
break
print("".join(s))
```
No
| 5,552
|
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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 two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
s = input()
t = input()
nd = {}
hv = {}
for x in t:
if x not in nd:
nd[x]=1
else:
nd[x]+=1
for x in s:
if x not in hv:
hv[x]=1
else:
hv[x]+=1
def f(n):
hp = 0
if("?" in hv):
hp += hv["?"]
for x in nd:
if x not in hv:
hp -=nd[x]*n
else:
if( hv[x] - nd[x]*n>=0):
hp +=0
else:
hp +=hv[x] - nd[x]*n
if(hp<0):
return False
else:
return True
l =0
r = len(s)+100
while(r-1!=l):
mid = (l+r)//2
if(f(mid)):
l = mid
else:
r = mid
def f1(n):
hp = 0
if("?" in hv):
hp += hv["?"]
hv["?"] = 0
for x in nd:
if(x in hv and hv[x]>=nd[x]):
continue
else:
hv[x] = nd[x]*n
#print(hv)
f1(r)
ans = ""
#print(hv)
for x in s:
if(x!= "?"):
hv[x]-=1
s = list(s)
for x in range(len(s)):
if(s[x] == "?"):
for y in hv:
if(hv[y]!=0):
s[x] = y
hv[y]-=1
break
print("".join(s))
```
No
| 5,553
|
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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 two strings s and t consisting of small Latin letters, string s can also contain '?' characters.
Suitability of string s is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all resulting strings s, you choose the one with the largest number of non-intersecting occurrences of string t. Suitability is this number of occurrences.
You should replace all '?' characters with small Latin letters in such a way that the suitability of string s is maximal.
Input
The first line contains string s (1 ≤ |s| ≤ 106).
The second line contains string t (1 ≤ |t| ≤ 106).
Output
Print string s with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them.
Examples
Input
?aa?
ab
Output
baab
Input
??b?
za
Output
azbz
Input
abcd
abacaba
Output
abcd
Note
In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third example there are no '?' characters and the suitability of the string is 0.
Submitted Solution:
```
import sys
input = sys.stdin.readline
def solve():
s = input().strip()
t = input().strip()
t_dict = {}
s_dict = {}
for c in t:
if c in t_dict:
t_dict[c] += 1
else:
t_dict[c] = 1
s_dict[c] = 0
for c in s:
if c in s_dict:
s_dict[c] += 1
elif c != '?':
s_dict[c] = 1
def good(x):
return sum([x * t_dict[c] - s_dict[c] for c in t_dict]) <= s.count('?')
l = 0
r = len(s) + 1
while r - l > 1:
m = (l + r) // 2
if good(m):
l = m
else:
r = m
s = list(s)
chars = [c for c in t_dict]
i = 0
for j in range(len(s)):
while i < len(chars) and s_dict[chars[i]] >= l * t_dict[chars[i]]:
i += 1
if i == len(chars) and s[j] == '?':
s[j] = 'x'
elif s[j] == '?':
s[j] = chars[i]
s_dict[chars[i]] += 1
return ''.join(s)
print(solve())
```
No
| 5,554
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you are given a string s of length n consisting of lowercase English letters. You need to compress it using the smallest possible number of coins.
To compress the string, you have to represent s as a concatenation of several non-empty strings: s = t_{1} t_{2} … t_{k}. The i-th of these strings should be encoded with one of the two ways:
* if |t_{i}| = 1, meaning that the current string consists of a single character, you can encode it paying a coins;
* if t_{i} is a substring of t_{1} t_{2} … t_{i - 1}, then you can encode it paying b coins.
A string x is a substring of a string y if x can be obtained from y by deletion of several (possibly, zero or all) characters from the beginning and several (possibly, zero or all) characters from the end.
So your task is to calculate the minimum possible number of coins you need to spend in order to compress the given string s.
Input
The first line contains three positive integers, separated by spaces: n, a and b (1 ≤ n, a, b ≤ 5000) — the length of the string, the cost to compress a one-character string and the cost to compress a string that appeared before.
The second line contains a single string s, consisting of n lowercase English letters.
Output
Output a single integer — the smallest possible number of coins you need to spend to compress s.
Examples
Input
3 3 1
aba
Output
7
Input
4 1 1
abcd
Output
4
Input
4 10 1
aaaa
Output
12
Note
In the first sample case, you can set t_{1} = 'a', t_{2} = 'b', t_{3} = 'a' and pay 3 + 3 + 1 = 7 coins, since t_{3} is a substring of t_{1}t_{2}.
In the second sample, you just need to compress every character by itself.
In the third sample, you set t_{1} = t_{2} = 'a', t_{3} = 'aa' and pay 10 + 1 + 1 = 12 coins, since t_{2} is a substring of t_{1} and t_{3} is a substring of t_{1} t_{2}.
Tags: dp, strings
Correct Solution:
```
def f(x):
z=[0 for i in range(len(x))]
l=0
r=0
for i in range(1,len(x)):
if i<=r:
z[i]=min(z[i-l],r-i+1)
while i+z[i]<len(x) and x[z[i]]==x[i+z[i]]:
z[i]+=1
if i+z[i]-1>r:
l,r=i,i+z[i]-1
return z
a=list(map(int,input('').split()))
n,a,b=a[0],a[1],a[2]
s=input('')
dp=[0 for i in range(n)]
dp[0]=a
for i in range(1,n):
t=s[:i+1]
dp[i]=dp[i-1]+a
q=f(t[::-1])
maxs=[0 for j in range(i+1)]
maxs[0]=q[i]
for j in range(1,i):
maxs[j]=max(maxs[j-1],q[i-j])
for j in range(i):
if maxs[j]>=i-j:
dp[i]=min(dp[i],dp[j]+b)
print(dp[len(dp)-1])
```
| 5,827
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you are given a string s of length n consisting of lowercase English letters. You need to compress it using the smallest possible number of coins.
To compress the string, you have to represent s as a concatenation of several non-empty strings: s = t_{1} t_{2} … t_{k}. The i-th of these strings should be encoded with one of the two ways:
* if |t_{i}| = 1, meaning that the current string consists of a single character, you can encode it paying a coins;
* if t_{i} is a substring of t_{1} t_{2} … t_{i - 1}, then you can encode it paying b coins.
A string x is a substring of a string y if x can be obtained from y by deletion of several (possibly, zero or all) characters from the beginning and several (possibly, zero or all) characters from the end.
So your task is to calculate the minimum possible number of coins you need to spend in order to compress the given string s.
Input
The first line contains three positive integers, separated by spaces: n, a and b (1 ≤ n, a, b ≤ 5000) — the length of the string, the cost to compress a one-character string and the cost to compress a string that appeared before.
The second line contains a single string s, consisting of n lowercase English letters.
Output
Output a single integer — the smallest possible number of coins you need to spend to compress s.
Examples
Input
3 3 1
aba
Output
7
Input
4 1 1
abcd
Output
4
Input
4 10 1
aaaa
Output
12
Note
In the first sample case, you can set t_{1} = 'a', t_{2} = 'b', t_{3} = 'a' and pay 3 + 3 + 1 = 7 coins, since t_{3} is a substring of t_{1}t_{2}.
In the second sample, you just need to compress every character by itself.
In the third sample, you set t_{1} = t_{2} = 'a', t_{3} = 'aa' and pay 10 + 1 + 1 = 12 coins, since t_{2} is a substring of t_{1} and t_{3} is a substring of t_{1} t_{2}.
Tags: dp, strings
Correct Solution:
```
n, a, b = map(int, input().split())
s = input()
lcp = [[0]*n for _ in ' '*n]
for i in range(n-1, -1, -1):
for r in range(n-1, -1, -1):
if s[i] == s[r]:
if i == n - 1 or r == n - 1:
lcp[i][r] = 1
else:
lcp[i][r] = lcp[i+1][r+1]+1
d = [10**10]*(n+1)
d[0] = 0
for i in range(n):
d[i+1] = min(d[i+1], d[i]+a)
for j in range(i):
k = min(lcp[i][j], i-j)
d[i+k] = min(d[i+k], d[i]+b)
print(d[-1])
```
| 5,828
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
__author__ = 'Utena'
from heapq import heappushpop, heapify,heappop,heappush
string=input()
s=len(string)
k=int(input())
total=0
line=[]
for i in range(s):
line.append((string[i],i))
heapify(line)
while total<k:
value,key=heappop(line)
ans=value
total+=1
if key<s-1:heappush(line,(value+string[key+1],key+1))
if len(line)==0:
if total<k:
print('No such line.')
exit(0)
print(ans)
```
| 5,893
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
s=input()
l=len(s)
k=int(input())
if l*(l+1)/2<k: print('No such line.')
else:
a=[i for i in range(l)]
p=0
ans=''
while True:
t=[(s[i+p],i) for i in a]
t=sorted(t)
i=j=0
prod=0
while i<len(t):
pre=prod
while j<len(t) and t[i][0]==t[j][0]:
prod+=l-t[j][1]-p
j+=1
if prod>=k: break
i=j
ans+=t[i][0]
if pre+j-i>=k: break
k-=pre+j-i
p+=1
a=[t[q][1] for q in range(i,j) if t[q][1]+p<l]
print(ans)
```
| 5,894
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
import heapq as hq
s = input()
k = int(input())
n = len(s)
news = [([s[i]], i + 1) for i in range(n)]
if k > n * (n + 1) // 2:
print('No such line.')
exit()
hq.heapify(news)
for i in range(k):
t, nxt = hq.heappop(news)
if nxt < n and i + 1 < k:
t.append(s[nxt])
hq.heappush(news, (t, nxt + 1))
print(''.join(t))
```
| 5,895
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
from heapq import *
s=input()
k=int(input())
n=len(s)
ss=[(s[i],i) for i in range(n)]
heapify(ss)
if k>n*(n+1)/2:
print('No such line.')
else:
while k:
k-=1
t=heappop(ss)
if k==0:
print(t[0])
else:
if t[1]<len(s)-1:
heappush(ss,(t[0]+s[t[1]+1],t[1]+1))
```
| 5,896
|
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Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
import sys,heapq
x=input();
k=int(input());
i=0;
h=[(x[i],i+1) for i in range(len(x))];
heapq.heapify(h);
while(True):
i=i+1;
if(not h):
print("No such line.");
sys.exit();
s,next=heapq.heappop(h);
if(i==k):
print(s);
break;
if(next>=len(x)):
continue
s=s+x[next]
heapq.heappush(h,(s,next+1))
```
| 5,897
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
from heapq import *
l=input()
k=int(input())
n=len(l)
if k>n*(n+1)/2:
print("No such line.")
quit()
ss=[(l[i],i) for i in range(n)]
heapify(ss)
while k:
k-=1
t=heappop(ss)
if k==0:
print(t[0])
else:
if t[1]<n-1:
heappush(ss,(t[0]+l[t[1]+1],t[1]+1))
```
| 5,898
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
import heapq
from heapq import heappush, heappop, heappushpop
a = input()
n = int(input())
c=list(a)
l = len(c)
num = 0
if (l*l+l)/2 < n:
print('No such line.')
else:
d = []
#
for i in range(l):
heappush(d,(c[i],i))
while num < n:
num += 1
t,f = heappop(d)
if f<l-1:
heappush(d,(t+c[f+1],f+1))
print(t)
# for i in range(l):
# for j in range(1,l+1):
# if i+j<=l:
# d.append(a[i:i+j])
#print(d)#
# for i in range(n-1):
# d.remove(min(d))
# print(d)#
# print(min(d))
```
| 5,899
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Tags: brute force, constructive algorithms, hashing, implementation, string suffix structures, strings
Correct Solution:
```
'''
Created on 2016-4-28
@author: chronocorax
'''
from heapq import heapify, heappush, heappop
S = input()
k = int(input())
n = len(S)
H = [([S[i]], i + 1) for i in range(n)]
if k > n * (n + 1) // 2:
print('No such line.')
exit()
heapify(H)
for i in range(k):
s, nxt = heappop(H)
if nxt < n and i + 1 < k:
s.append(S[nxt])
heappush(H, (s, nxt + 1))
print(''.join(s))
```
| 5,900
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
import heapq
string = input()
k = int(input())
if k > (len(string) + 1) * len(string) / 2:
print("No such line.")
else:
substring = []
for i in range(len(string)):
heapq.heappush(substring,(string[i],i + 1))
for i in range(k):
a,b = heapq.heappop(substring)
if b < len(string):
heapq.heappush(substring,(a + string[b],b + 1))
print(a)
```
Yes
| 5,901
|
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
import heapq
s = input()
k = int(input())
N = len(s)
if k>N*(N+1)//2:
print('No such line.')
exit()
A = [(c,j) for j,c in enumerate(list(s))]
heapq.heapify(A)
for i in range(k):
if not A:
break
min_item, index = heapq.heappop(A)
if index + 1 < N:
heapq.heappush(A, (min_item + s[index+1], index+1))
print(min_item)
```
Yes
| 5,902
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
from heapq import *
string = input()
k = int(input())
m = k
t = len(string)
u = t * (t + 1) / 2
if k > u:
print('No such line.')
exit()
substring = [[string[i],i] for i in range(t)]
heapify(substring)
while m > 0:
m -= 1
a = heappop(substring)
if a[1] < t - 1:
b = a[0] + string[a[1]+1]
heappush(substring,[b, a[1] + 1])
print(a[0])
```
Yes
| 5,903
|
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
from heapq import heapify, heappush, heappop
n = input()
k = int(input())
i = 0
h = [(n[i], i + 1) for i in range(len(n))]
heapify(h)
while True:
i += 1
if (not h):
print("No such line.")
exit(0)
s, nxt = heappop(h)
if (i == k):
print(s)
exit(0)
if (nxt >= len(n)):
continue
s = s + n[nxt]
heappush(h, (s, nxt + 1))
```
Yes
| 5,904
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
from heapq import *
l=input()
k=int(input())
n=len(l)
if k>n*(n+1)/2:
print("No such line.")
quit()
ss=[(l[i],i) for i in range(n)]
while k:
k-=1
t=heappop(ss)
if k==0:
print(t[0])
else:
if t[1]<n-1:
heappush(ss,(t[0]+l[t[1]+1],t[1]+1))
```
No
| 5,905
|
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
# -*-encoding=gbk-*-
ch = input()
K = int(input() )
if len(ch)*(len(ch) + 1)/2 < K :
print ("No such line.")
else:
nn = len(ch)
pos = [i for i in range(nn)]
print(pos)
ich = [ord(i) for i in ch]
print(ich)
ans = ""
while True:
num = [0] * 128
for i in pos :
num[ ich[i] ] += nn - i
print(num[ich[i]],i)
addChar = 0
for c in range(ord('a'), ord('z')+1):
if num[c] >= K:
addChar = c
break
K -= num[c]
pos = [i for i in pos if ich[i]==addChar]
ans += chr(addChar)
if len(pos) >= K:
break
K -= len(pos)
pos = [i+1 for i in pos if i+1 < nn]
print (ans)
```
No
| 5,906
|
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
string = input()
n = len(string)
s = int(input())
l = []
q = 0
if n > 20:
print('a')
q = 1
for i in range (0,n):
if q == 1:
exit
for o in range (i,n):
k = string[i:o+1]
while len(k)<n:
k += "`"
kk = ""
for p in range(0,n):
kk +=str(ord(k[p])-30)
l.append(int(kk))
l.sort()
out = str(l[s-1])
out += "66"
outt = ""
for i in range(0,n):
if q==1:
exit
outt += chr(int(out[2*i:2*i+2])+30)
if int(out[2*i+2:2*i+4]) == 66:
break
if q !=1:
print(outt)
```
No
| 5,907
|
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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.
One day in the IT lesson Anna and Maria learned about the lexicographic order.
String x is lexicographically less than string y, if either x is a prefix of y (and x ≠ y), or there exists such i (1 ≤ i ≤ min(|x|, |y|)), that xi < yi, and for any j (1 ≤ j < i) xj = yj. Here |a| denotes the length of the string a. The lexicographic comparison of strings is implemented by operator < in modern programming languages.
The teacher gave Anna and Maria homework. She gave them a string of length n. They should write out all substrings of the given string, including the whole initial string, and the equal substrings (for example, one should write out the following substrings from the string "aab": "a", "a", "aa", "ab", "aab", "b"). The resulting strings should be sorted in the lexicographical order. The cunning teacher doesn't want to check all these strings. That's why she said to find only the k-th string from the list. Help Anna and Maria do the homework.
Input
The first line contains a non-empty string that only consists of small Latin letters ("a"-"z"), whose length does not exceed 105. The second line contains the only integer k (1 ≤ k ≤ 105).
Output
Print the string Anna and Maria need — the k-th (in the lexicographical order) substring of the given string. If the total number of substrings is less than k, print a string saying "No such line." (without the quotes).
Examples
Input
aa
2
Output
a
Input
abc
5
Output
bc
Input
abab
7
Output
b
Note
In the second sample before string "bc" follow strings "a", "ab", "abc", "b".
Submitted Solution:
```
'''
Created on 2016-4-28
@author: chronocorax
'''
from heapq import heapify, heappush, heappop
S = input()
k = int(input())
n = len(S)
H = [([S[i]], i + 1) for i in range(n)]
if k > n * (n + 1) // 2:
print('No such line.')
exit()
heapify(H)
for _ in range(k):
s, nxt = heappop(H)
res = s
if nxt < n:
s.append(S[nxt])
heappush(H, (s, nxt + 1))
print(''.join(res))
```
No
| 5,908
|
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|
Provide tags and a correct Python 2 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
from fractions import gcd
raw_input = stdin.readline
pr = stdout.write
def in_arr():
return map(int,raw_input().split())
def pr_num(n):
stdout.write(str(n)+'\n')
def pr_arr(arr):
for i in arr:
stdout.write(str(i)+' ')
stdout.write('\n')
range = xrange # not for python 3.0+
for t in range(input()):
n,k=in_arr()
s=raw_input().strip()
d=defaultdict(Counter)
for i in range(n):
d[i%k][s[i]]+=1
c=n/k
ans=0
for i in range(k/2):
mn=1000000000
for j in [chr(s) for s in range(97,97+26)]:
sm=d[i][j]+d[k-i-1][j]
#print i,j,sm
if (2*c)-sm<mn:
mn=(2*c)-sm
ans+=mn
if k%2:
mn=1000000000
for j in [chr(s) for s in range(97,97+26)]:
mn=min(mn,(c)-d[(k/2)][j])
ans+=mn
pr_num(ans)
```
| 5,909
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
from collections import Counter
for lp in range(int(input())):
n,k=map(int,input().split())
s=input()
q,t=0,1
for j in range((k+1)//2):
l=[]
for i in range(j,n,k):l.append(s[i])
if k%2==0 or j!=(k+1)//2-1:
for i in range(k-j-1,n,k):l.append(s[i])
else:t=0
q+=(n//k)*(1+t)-Counter(l).most_common(1)[0][1]
print(q)
```
| 5,910
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
from sys import stdin
from collections import defaultdict, Counter
from math import ceil
t = int(input())
for _ in range(t):
n, k = map(int, stdin.readline().split())
S = stdin.readline().strip()
count = 0
sub_k = []
for i in range(n//k):
sub_k.append(S[k*i:k*i + k])
for i in range(int(ceil(k/2))):
c = Counter()
for j in range(n//k):
if i != k - 1 - i:
c[sub_k[j][i]] += 1
c[sub_k[j][k - 1 - i]] += 1
else:
c[sub_k[j][i]] += 1
M = max(c.values())
if i != k - 1 - i:
count += 2*(n//k) - M
else:
count += n//k - M
print (count)
```
| 5,911
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
#input = raw_input
from collections import Counter
def answer():
n, k = map(int, input().split(" "))
s = input()
bunkatu_s_list = [s[i:i+k] for i in range(0, n, k)]
bunkatu_n = n // k
half_s_list = []
out = 0
if k % 2 == 0:
half_k = k // 2
for i in range(half_k):
i1 = i
i2 = k - (i+1)
#tmp1 = [s[i] for i in range(i1, n, k)]
tmp1 = s[i1::k]
tmp2 = s[i2::k]
#tmp2 = [s[i] for i in range(i2, n, k)]
tmp = len(tmp1) + len(tmp2) - Counter(tmp1+tmp2).most_common(1)[0][1]
out += tmp
aidas = None
else:
half_k = (k-1) // 2
for i in range(half_k):
i1 = i
i2 = k - (i+1)
#tmp1 = [s[i] for i in range(i1, n, k)]
#tmp2 = [s[i] for i in range(i2, n, k)]
tmp1 = s[i1::k]
tmp2 = s[i2::k]
tmp = len(tmp1) + len(tmp2) - Counter(tmp1+tmp2).most_common(1)[0][1]
out += tmp
aidas = [bunkatu_s[half_k] for bunkatu_s in bunkatu_s_list]
tmp = bunkatu_n - max(Counter(aidas).values())
out += tmp
print(out)
mm = int(input())
for _ in range(mm):
answer()
```
| 5,912
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
from sys import stdin
inp = stdin.readline
t = int(inp().strip())
for c in range(t):
n, k = [int(x) for x in inp().strip().split()]
array = list(inp().strip())
d1 = {}
for i in range(n):
if i%k < k/2:
dIndex = k - 1 - i%k
else:
dIndex = i%k
if not d1.get(dIndex, 0):
d1[dIndex] = {array[i]:1}
elif not d1[dIndex].get(array[i],0):
d1[dIndex][array[i]] = 1
else:
d1[dIndex][array[i]] += 1
number = n//k
numberOfMoves = 0
for i in d1.values():
maximum = 0
for j in i.values():
if j > maximum:
maximum = j
numberOfMoves += (2 * number - maximum)
if k%2:
numberOfMoves -= number
print(numberOfMoves)
```
| 5,913
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
from collections import Counter
import sys
sys.setrecursionlimit(10 ** 5)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def SI(): return sys.stdin.readline()[:-1]
def main():
for _ in range(II()):
n,k=MI()
aa=[ord(c) for c in SI()]
fin=[False]*k
ans=0
for m1 in range(k):
if fin[m1]:continue
m2=(n-m1-1)%k
if m1==m2:
cnt = Counter(aa[m1::k])
fin[m1] = True
ans += n//k - max(cnt.values())
else:
cnt=Counter(aa[m1::k]+aa[m2::k])
fin[m1]=fin[m2]=True
ans+=2*n//k-max(cnt.values())
print(ans)
main()
```
| 5,914
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
import os, sys, bisect, copy
from collections import defaultdict, Counter, deque
from functools import lru_cache #use @lru_cache(None)
if os.path.exists('in.txt'): sys.stdin=open('in.txt','r')
if os.path.exists('out.txt'): sys.stdout=open('out.txt', 'w')
#
def input(): return sys.stdin.readline()
def mapi(arg=0): return map(int if arg==0 else str,input().split())
#------------------------------------------------------------------
cnt = [[0]*26 for i in range(200005)]
par = [0]*200005
size = [0]*200005
def parent(v):
if v==par[v]:
return v
par[v]= parent(par[v])
return par[v]
def merge(u,v):
a = parent(u)
b = parent(v)
if a!=b:
if size[a]<size[b]:
a,b = b,a
par[b] = a
size[a] += size[b]
for i in range(26):
cnt[a][i]+=cnt[b][i]
for _ in range(int(input())):
n,k = mapi()
a = list(input().strip())
cnt = [[0]*26 for i in range(n+1)]
par = [0]*(n+1)
size = [0]*(n+1)
for i in range(n):
cnt[i][ord(a[i])-ord("a")]+=1
par[i] = i
size[i] = 1
for i in range(n):
if i < n-i-1:
merge(i,n-i-1)
if i+k < n:
merge(i,i+k)
res = 0
for i in range(n):
if par[i]==i:
mx = -1
for j in range(26):
mx = max(mx, cnt[i][j])
res+=size[i]-mx
print(res)
```
| 5,915
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
#------------------------template--------------------------#
import os
import sys
from math import *
from collections import *
from fractions import *
from bisect import *
from heapq import*
from io import BytesIO, IOBase
def vsInput():
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
def value():return tuple(map(int,input().split()))
def array():return [int(i) for i in input().split()]
def Int():return int(input())
def Str():return input()
def arrayS():return [i for i in input().split()]
#-------------------------code---------------------------#
#vsInput()
for _ in range(Int()):
n,k=value()
s=input()
votes=defaultdict(lambda : defaultdict(int))
ans=defaultdict(lambda: ['',-1])
for i in range(0,n,k):
l=i
r=i+k-1
index=1
while(l<=r):
if(r!=l):
votes[index][s[l]]+=1
votes[index][s[r]]+=1
if(r==l):
votes[index][s[l]]+=1
if(votes[index][s[l]] > ans[index][1]):
ans[index][0]=s[l]
ans[index][1]=votes[index][s[l]]
if(votes[index][s[r]] > ans[index][1]):
ans[index][0]=s[r]
ans[index][1]=votes[index][s[r]]
l+=1
r-=1
index+=1
#print(votes)
#print(ans)
count=0
for i in range(0,n,k):
l=i
r=i+k-1
index=1
while(l<=r):
if(l!=r):
if(s[l]!=ans[index][0]):
count+=1
if(s[r]!=ans[index][0]):
count+=1
else:
if(s[l]!=ans[index][0]):
count+=1
l+=1
r-=1
index+=1
print(count)
```
| 5,916
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Tags: dfs and similar, dsu, greedy, implementation, strings
Correct Solution:
```
def solve(s, k):
n = len(s)
r = n//k
res = 0
for j in range(k//2):
d = [0] * 26
for i in range(r):
d[ord(s[i*k+j]) - 97] += 1
d[ord(s[i*k+k-1-j]) - 97] += 1
res += 2*r - max(d)
if k%2 == 1:
d = [0] * 26
for i in range(r):
d[ord(s[i*k+k//2]) - 97] += 1
res += r - max(d)
return res
if __name__ == '__main__':
t = int(input())
for _ in range(t):
n, k = map(int, input().split())
s = input()
print(solve(s, k))
```
| 5,917
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
from sys import stdin
inp = stdin.readline
t = int(inp().strip())
for c in range(t):
n, k = [int(x) for x in inp().strip().split()]
array = list(inp().strip())
d1 = {}
for i in range(n):
if i%k < k/2:
dIndex = k - 1 - i%k
else:
dIndex = i%k
if not d1.get(dIndex, 0):
d1[dIndex] = {array[i]:1}
elif not d1[dIndex].get(array[i],0):
d1[dIndex][array[i]] = 1
else:
d1[dIndex][array[i]] += 1
number = n//k
numberOfMoves = 0
for i in d1.keys():
maximum = 0
for j in d1[i].keys():
if d1[i][j] > maximum:
maximum = d1[i][j]
if k%2 == 1 and i == k//2:
numberOfMoves += (number - maximum)
else:
numberOfMoves += (2 * number - maximum)
print(numberOfMoves)
```
Yes
| 5,918
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
import sys
from collections import Counter
def input():
return sys.stdin.readline()[:-1]
t = int(input())
for _ in range(t):
n, k = map(int, input().split())
s = input()
c = [Counter() for _ in range((k + 1)//2)]
for i in range(n):
c[min(i%k, k-1 - (i%k))][s[i]] += 1
ans = 0
for d in c:
ans += sum(d.values()) - max(d.values())
print(ans)
```
Yes
| 5,919
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
for _ in range(int(input())):
n,k = map(int,input().split())
s = list(str(input()))
l1 = [0]*n
i = 0
c = 0
if n == 2:
if s[0] == s[1]:
print(0)
else:
print(1)
continue
while i<=n//2:
l2 = []
for j in range(i,n,k):
if l1[j] == 0:
l2.append(s[j])
l1[j] = 1
if l1[n-j-1] == 0:
l2.append(s[n-j-1])
l1[n-j-1] = 1
dict = {}
count, itm = 0, ''
for item in reversed(l2):
dict[item] = dict.get(item, 0) + 1
if dict[item] >= count :
count, itm = dict[item], item
aa = count
c+=(len(l2)-count)
for j in range(i,n):
if l1[j] == 1:
i+=1
if i>n//2:
break
else:
break
print(c)
```
Yes
| 5,920
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
import sys
input = sys.stdin.readline
from collections import Counter
P=[2,3,5,7,11,13,17,19,23,29,31]
t=int(input())
for tests in range(t):
n,k=map(int,input().split())
S=input().strip()
A=[Counter() for i in range(k)]
for i in range(n):
A[min(i%k,(n-1-i)%k)][S[i]]+=1
#print(A)
ANS=0
for a in A:
if len(a)>1:
ANS+=sum(a.values())-max(a.values())
print(ANS)
```
Yes
| 5,921
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
from collections import defaultdict
for _ in range(int(input())):
N,K=map(int,input().split())
S=list(input())
Hash=defaultdict(lambda:0)
for i in range(N):
Hash[S[i]]+=1
count=0
for i in range(K):
if S[i]!=S[K-1-i]:
if Hash[S[i]]>Hash[S[K-1-i]]:
S[K-1-i]=S[i]
count+=1
else:
S[i]=S[K-1-i]
count+=1
for i in range(N-K-1):
if S[i+K]!=S[i]:
S[i+K]=S[i]
count+=1
print(count)
```
No
| 5,922
|
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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.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
#GaandFatiPadiHaiIsliyeEasyQuestionKrnePadRheHai
#Contest668NeMaaChodDi
import math
def dfs(node):
vis[node]=1
temp[0]+=1
lis[ord(s[node])-97]+=1
for j in edge[node]:
if vis[j]==0:
dfs(j)
t=int(input())
for _ in range(t):
n,k=list(map(int,input().split()))
s=str(input())
if n==1:
print(0)
else:
vis=[0]*n
edge=[[] for i in range(n)]
for i in range(k,n):
edge[i%k].append(i)
p=math.ceil(n//2)
if n%2==0:
q=p-1
else:
q=p-2
for i in range(p,n):
if q%k!=i%k:
edge[q].append(i)
edge[i].append(q)
q-=1
ans=0
for i in range(n):
if vis[i]==0:
temp=[0]
lis=[0]*26
dfs(i)
a=max(lis)
ans+=temp[0]-a
print(ans)
```
No
| 5,923
|
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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.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
import sys
def read(): return list(map(int,sys.stdin.readline().split()))
for _ in range(int(input())):
n, k = read()
s = sys.stdin.readline()
count = 0
for i in range(1,n-k+1):
a = {s[i-1],s[k+i-1],s[n-i]}
count += len(a)-1
for i in range(n-k+1,n):
if s[i-1] != s[n-i]:
count += 1
print(count)
```
No
| 5,924
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Word s of length n is called k-complete if
* s is a palindrome, i.e. s_i=s_{n+1-i} for all 1 ≤ i ≤ n;
* s has a period of k, i.e. s_i=s_{k+i} for all 1 ≤ i ≤ n-k.
For example, "abaaba" is a 3-complete word, while "abccba" is not.
Bob is given a word s of length n consisting of only lowercase Latin letters and an integer k, such that n is divisible by k. He wants to convert s to any k-complete word.
To do this Bob can choose some i (1 ≤ i ≤ n) and replace the letter at position i with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert s to any k-complete word.
Note that Bob can do zero changes if the word s is already k-complete.
You are required to answer t test cases independently.
Input
The first line contains a single integer t (1 ≤ t≤ 10^5) — the number of test cases.
The first line of each test case contains two integers n and k (1 ≤ k < n ≤ 2 ⋅ 10^5, n is divisible by k).
The second line of each test case contains a word s of length n.
It is guaranteed that word s only contains lowercase Latin letters. And it is guaranteed that the sum of n over all test cases will not exceed 2 ⋅ 10^5.
Output
For each test case, output one integer, representing the minimum number of characters he has to replace to convert s to any k-complete word.
Example
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
Note
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is k-complete.
Submitted Solution:
```
t = int(input())
for _ in range(t):
count=0
n,k = map(int, input().split())
l=input()
s=list(l)
for i in range(k):
d={}
j=0
while(i+(j*k)<n):
if(s[i+(j*k)] in d):
d[s[i+(j*k)]]+=1
else:
d[s[i+(j*k)]]=1
z=k-i-1
if(s[z+(j*k)] in d):
d[s[z+(j*k)]]+=1
else:
d[s[z+(j*k)]]=1
j+=1
p=max(d, key=d.get)
j=0
while(i+(j*k)<n):
if(s[i+(j*k)]!=p):
s[i+(j*k)]=p
count+=1
j+=1
#print(max(d, key=d.get),d,i)
m=''.join(s)
#print(count)
co=0
for i in range(n):
if(s[i]!=l[i]):
co+=1
print(co)
```
No
| 5,925
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
t=int(input())
for i in range(t):
n=list(map(int,input().split()))
ans=""
if n[1]==0:
if n[0]==0:
print("1"*(n[2]+1))
else:
print("0"*(n[0]+1))
continue
cnt=0
for i in range(n[1]+1):
if cnt%2==0:
ans+="1"
else:
ans+="0"
cnt+=1
ans="1"*n[2]+ans[0]+"0"*n[0]+ans[1:]
print(ans)
```
| 5,926
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
for _ in range(int(input())):
n0, n1, n2 = map(int, input().split(' '))
if n0 > 0 and n2 > 0:
n1 -= 1
if n0 != 0:
print(0, end='')
for i in range(n0):
print(0, end='')
if n2 != 0:
print(1, end='')
for i in range(n2):
print(1, end='')
start = 1
if n2 != 0:
start = 0
if n0 == 0 and n2 == 0:
print(0, end='')
for i in range(n1):
print(start, end='')
start = (start + 1) % 2
print()
```
| 5,927
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
import sys
reader = (s.rstrip() for s in sys.stdin)
input = reader.__next__
def gift():
for _ in range(t):
n0,n1,n2=list(map(int,input().split()))
ans=''
if n0>0:
ans='0'+'0'*(n0)
if n1>0:
if ans=='':
ans+='0'
if n1%2==0:
ans='1'+ans
ans+='1'
ans+='01'*(n1//2-1)
else:
ans+='1'
ans+='01'*((n1+1)//2-1)
if ans=='':
ans+='1'
ans+='1'*(n2)
yield ans
if __name__ == '__main__':
t= int(input())
ans = gift()
print(*ans,sep='\n')
##100 55
##1 3 5
##33 22
##x+3*(k-x)=n
##n=3*k-2*x
##x=(3*k-n)//2
##1 3 1 3 1 3 49
```
| 5,928
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
for i in range(int(input())):
a, b, c = map(int, input().split())
s = ''
s1 = '1' * c
s0 = '0' * a
if b > 0:
s += '1'
for j in range(b):
if j % 2 == 0:
s += '0'
else:
s += '1'
s = s[0] + s0 + s[1::]
s = s1 + s
else:
s = s1 + s0
if a != 0:
s += '0'
else:
s += '1'
print(s)
```
| 5,929
|
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
tim = {'00': 0, '01': 1, '10': 1, '11': 2}
def binary_find():
def dfs(s,i,j,k):
if (i > n0) or (j > n1) or (k > n2):
return False
if (i == n0) and (j == n1) and (k == n2):
print(s)
return True
for new in range(2):
temp = s[-1] + str(new)
if temp == '00':
found = dfs(s + str(new),i+1,j,k)
elif temp in ['01','10']:
found = dfs(s + str(new),i,j+1,k)
else:
found = dfs(s + str(new),i,j,k+1)
if found :
return True
n0, n1, n2 = [int(x) for x in input().split()]
if not dfs('0',0,0,0):
dfs('1',0,0,0)
t = int(input())
for i in range(t):
binary_find()
```
| 5,930
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
import sys
sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def SI(): return sys.stdin.readline()[:-1]
def main():
for _ in range(II()):
n0,n1,n2=MI()
if n1==1:
ans="0"*(n0+1)+"1"*(n2+1)
elif n1 == n2 == 0:
ans = "0" * (n0 + 1)
elif n0==n2==0:
ans="0"
for i in range(n1):
ans+="0" if i%2 else "1"
elif n0 == n1 == 0:
ans = "1" * (n2 + 1)
elif n0 == 0:
ans = "1" * (n2 + 1)
for i in range(n1):
ans += "1" if i % 2 else "0"
elif n2==0:
ans="0"*(n0+1)
for i in range(n1):
ans+="0" if i%2 else "1"
else:
ans="0"*(n0+1)+"1"*(n2+1)
for i in range(n1-1):
ans += "1" if i % 2 else "0"
print(ans)
main()
```
| 5,931
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
t=int(input())
for you in range(t):
l=input().split()
n0=int(l[0])
n1=int(l[1])
n2=int(l[2])
if(n0==0 and n1==0):
for i in range(n2+1):
print(1,end="")
print()
elif(n1==0 and n2==0):
for i in range(n0+1):
print(0,end="")
print()
elif(n1%2==0):
for i in range(n1//2):
print("01",end="")
for i in range(n2):
print("1",end="")
for i in range(n0+1):
print("0",end="")
print()
else:
for i in range(n2):
print("1",end="")
for i in range((n1+1)//2):
print("10",end="")
for i in range(n0):
print("0",end="")
print()
```
| 5,932
|
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Provide tags and a correct Python 3 solution for this coding contest problem.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Tags: constructive algorithms, dfs and similar, math
Correct Solution:
```
# https://codeforces.com/problemset/problem/1352/F
def checkEven(n):
if n % 2 == 0:
return True
else:
return False
def main():
n = int(input())
arr = []
for _ in range(n):
temp = list(map(int, input().split()))
arr.append(temp)
for i in range(n):
reconstruct(arr[i][0], arr[i][1], arr[i][2])
def reconstruct(n0, n1, n2):
res = ""
if n1 == 0:
if n0 != 0:
res += "0" * (n0 + 1)
elif n2 != 0:
res += "1" * (n2 + 1)
else:
if checkEven(n1):
res += "10" * (n1 // 2)
res += "1"
else:
res += "10" * ((n1 + 1) // 2)
if n0 != 0:
res = "1" + "0" * n0 + res[1:]
if n2 != 0:
res = "1" * n2 + res
print(res)
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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
for _ in range(int(input())):
n0,n1,n2=map(int,input().split())
if n1%2==1:
print('0'*n0+'01'*(n1//2+1)+'1'*n2)
else:
if n1==0 and n2==0:
print('0'*(n0+1))
else:
print('10'*(n1//2)+'0'*n0+'1'*(n2+1))
```
Yes
| 5,934
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
def solve():
n0, n1, n2 = [int(x) for x in input().split()]
res = []
if not n1:
if n0:
res = ['0' for _ in range(n0 + 1)]
else:
res = ['1' for _ in range(n2 + 1)]
else:
res = ['0' if i & 1 else '1' for i in range(n1 + 1)]
res[1:1] = ['0' for _ in range(n0)]
res[0:0] = ['1' for _ in range(n2)]
print(''.join(res))
for _ in range(int(input())):
solve()
```
Yes
| 5,935
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
t = int(input())
for _ in range(t):
a, b, c = [int(x) for x in input().split()]
ans = ""
for i in range(b):
if i % 2 == 0:
ans += "1"
else:
ans += "0"
if b % 2 != 0:
ans = "1" * c + ans
ans += "0" * (a + 1)
if b % 2 == 0:
if b == 0:
if a > 0:
ans += "0" * (a + 1)
if c > 0:
ans += "1" * (c + 1)
else:
ans= "1" * c + ans
ans += "0" * a
ans += "1"
print(ans)
```
Yes
| 5,936
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
# t = int(input())
# n, k = map(int, input().split())
# a = list(map(int, input().split()))
# from collections import deque
#import copy
#import collections
#import sys
t = int(input())
for T in range(t):
n0, n1, n2 = map(int, input().split())
ans = ''
if n1==0:
if n0>0:
ans = '0'*(n0+1)
else:
ans = '1'*(n2+1)
else:
ans = '0'*(n0+1) + '1'*(n2+1)
flag = 0
for i in range(n1-1):
ans += str(flag)
flag ^= 1
print(ans)
```
Yes
| 5,937
|
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
n0 = '0'
n2 = '1'
t = int(input())
for _ in range(t):
output = ''
a, b, c = map(int, input().split())
if c: output += n2*(c+1)
if output:
for i in range(b):
output += str(i%2)
else:
if b:
for i in range(b+1):
output += str(i%2)
if b and output[-1] == '0':
output += n0*a
else:
if a: output += n0*(a+1)
print(output)
```
No
| 5,938
|
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
for _ in range((int)(input())):
zero,one,two=list(map(int,input().split()))
res=[]
if one%2==0:
if zero!=0:
res.append('0'*(zero+1))
one-=1
if two!=0:
res.append('1'*(two+1))
res.append('01'*(one))
else:
res.append('1'*(two))
if one!=0:
res.append('10'*(one//2+1))
res.append('0'*(zero))
print(''.join([i for i in res]))
```
No
| 5,939
|
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
for _ in range(int(input())):
n0, n1, n2 = map(int, input().split(' '))
if n0 != 0:
print(0, end='')
for i in range(n0):
print(0, end='')
if n2 != 0:
print(1, end='')
for i in range(n2):
print(1, end='')
start = 1
if n2 != 0:
start = 0
if n0 == 0 and n2 == 0:
print(0, end='')
for i in range(n1):
print(start, end='')
start = (start + 1) % 2
print()
```
No
| 5,940
|
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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.
For some binary string s (i.e. each character s_i is either '0' or '1'), all pairs of consecutive (adjacent) characters were written. In other words, all substrings of length 2 were written. For each pair (substring of length 2), the number of '1' (ones) in it was calculated.
You are given three numbers:
* n_0 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 0;
* n_1 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 1;
* n_2 — the number of such pairs of consecutive characters (substrings) where the number of ones equals 2.
For example, for the string s="1110011110", the following substrings would be written: "11", "11", "10", "00", "01", "11", "11", "11", "10". Thus, n_0=1, n_1=3, n_2=5.
Your task is to restore any suitable binary string s from the given values n_0, n_1, n_2. It is guaranteed that at least one of the numbers n_0, n_1, n_2 is greater than 0. Also, it is guaranteed that a solution exists.
Input
The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Then test cases follow.
Each test case consists of one line which contains three integers n_0, n_1, n_2 (0 ≤ n_0, n_1, n_2 ≤ 100; n_0 + n_1 + n_2 > 0). It is guaranteed that the answer for given n_0, n_1, n_2 exists.
Output
Print t lines. Each of the lines should contain a binary string corresponding to a test case. If there are several possible solutions, print any of them.
Example
Input
7
1 3 5
1 1 1
3 9 3
0 1 0
3 1 2
0 0 3
2 0 0
Output
1110011110
0011
0110001100101011
10
0000111
1111
000
Submitted Solution:
```
n = int(input())
def check(x,y,z):
s=''
for _ in range(z):
s += ''.join('1')
for i in range(y):
if i%2!=0:
s+=''.join('1')
else:
s+=''.join('0')
for _ in range(x):
s+=''.join('0')
print(s)
for _ in range(n):
n0,n1,n2 = map(int,input().split())
check(n0,n1,n2)
```
No
| 5,941
|
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Tags: sortings, strings
Correct Solution:
```
from functools import cmp_to_key as ctk
def comp(a, b):
if a + b < b + a:
return -1
elif a + b > b + a:
return 1
else:
return 0
n = int(input())
string = list()
for i in range(n):
strtem = input()
string.append(strtem)
string.sort(key = ctk(comp))
print(''.join(string))
```
| 6,240
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
n = int(input())
a = []
for i in range(n):
a.append(input())
from functools import cmp_to_key
# a = ['abc', 'abcabb', 'abcabcabb', 'abcabcabbabc']
a_p = sorted(a, key=cmp_to_key(lambda x, y: -1 if x + y < y + x else 1))
print(''.join(a_p))
```
Yes
| 6,245
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
from functools import cmp_to_key
n = int(input())
a=[]
for i in range(n):
a.append(input())
def cmp(x,y):
if x+y < y+x :
return -1
elif x+y > y+x:
return 1
else:
return 0
print(''.join(sorted(a,key=cmp_to_key(cmp))))
#print(a.sort(key = lambda x,y: cmp(x,y)))
```
Yes
| 6,246
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
# -*- coding: utf-8 -*-
"""
Created on Thu Apr 14 15:41:54 2016
@author: kebl4230
Too slow. Possibly lots of unnecessary list manipulation.
"""
from functools import cmp_to_key
n = int(input())
strings = list()
for i in range(n):
strings.append(input())
def cmpfunc(x, y):
a = x + y
b = y + x
if a < b:
return -1
elif a == b:
return 0
else:
return 1
bb = sorted(strings, key=cmp_to_key(cmpfunc))
print("".join(bb))
"""
n = int(input())
strings = list()
for i in range(n):
strings.append(input())
aa = "abcdefghijklmnopqrstuvwxyz"
positions = [strings.copy()]
def myfunc(mylist, index, pos):
scores = [aa.find(bb[index]) if index < len(bb) else 27 for bb in mylist]
r = 0
mins = min(scores)
while mins <= 27:
if r == 0:
for i in range(len(scores)):
if scores[i] == mins:
scores[i] = 100
else:
group = [mylist[n] for n in range(len(scores)) if scores[n] == mins]
positions.insert(pos + r, group)
for string in group:
mylist.remove(string)
while any(s == mins for s in scores):
scores.remove(mins)
r += 1
mins = min(scores)
index = 0
maxlen = len(positions)
pos = 0
while any(len(pos) > 1 for pos in positions):
myfunc(positions[pos], index, pos)
pos += 1
if pos == maxlen:
pos = 0
maxlen = len(positions)
index += 1
result = ''
for aa in positions:
result += aa[0]
print(result)
"""
```
Yes
| 6,247
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
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 Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
INF = 10 ** 18
MOD = 10**9+7
from functools import cmp_to_key
Ri = lambda : [int(x) for x in sys.stdin.readline().split()]
ri = lambda : sys.stdin.readline().strip()
n = int(ri())
s = []
for i in range(n):
s.append(ri())
s.sort(key = cmp_to_key(lambda x,y : -1 if x+y < y+x else 1 ))
print("".join(s))
```
Yes
| 6,248
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
n = int(input())
ans = []
for i in range(n):
a = input()
ans.append(a)
ans.sort(reverse = True)
ans = ''.join(ans)
print(ans)
```
No
| 6,249
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
n=int(input())
m=list()
for i in range(n):
m.append(str(input()))
for i in range(n-1):
if m[i]+m[i+1]>m[i+1]+m[i]:
m[i+1]=m[i+1]+m[i]
else:
m[i+1]=m[i]+m[i+1]
print(m[i+1])
```
No
| 6,250
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
from functools import cmp_to_key
def c(x,y):
if x+y < y+x:
return 1
else:
return -1
n = int(input())
l = []
for _ in range(n):
l.append(input())
l.sort(key = cmp_to_key(c))
print(''.join(l))
```
No
| 6,251
|
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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're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).
Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a — the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
Submitted Solution:
```
from functools import cmp_to_key
def f(x, y):
return -1 if x + y <= y + x else 1
n = int(input())
A = []
for i in range(n):
s = input()
A.append(s)
print(A)
print(''.join(sorted(A, key = cmp_to_key(f))))
```
No
| 6,252
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
S = input()
N = len(S)
A = (len(S) - 1) // 2
B = (len(S) + 3) // 2
if S[0:A] == S[B - 1:N]:
print('Yes')
else:
print('No')
```
| 6,381
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
s = input()
n = len(s)
if s[:int(n//2)] == s[int(n//2)+1:]:
print("Yes")
else:
print("No")
```
| 6,382
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
S=list(input())
N=len(S)
if S==S[::-1] and S[:(N-1)//2]==S[(N+3)//2-1:]:
print("Yes")
else:print("No")
```
| 6,383
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
s = input()
if s[len(s) // 2 + 1:] == s[:len(s) // 2]:
print('Yes')
else:
print('No')
```
| 6,384
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
s = input()
print("Yes" if s == s[::-1] and s[:len(s)//2] == s[len(s)//2-1::-1] else "No")
```
| 6,385
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
S = str(input())
N = len(S)
if S[:(N-1)//2] == S[(N+3)//2 - 1:] :
print('Yes')
else:
print('No')
```
| 6,386
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
S = input()
N = len(S)
N1s = (N-1)//2
N2s = (N+3)//2-1
if S[:N1s] == S[N2s:]:
print("Yes")
else:
print("No")
```
| 6,387
|
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] | 0
|
Provide a correct Python 3 solution for this coding contest problem.
A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:
* S is a palindrome.
* Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.
* The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.
Determine whether S is a strong palindrome.
Constraints
* S consists of lowercase English letters.
* The length of S is an odd number between 3 and 99 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
If S is a strong palindrome, print `Yes`; otherwise, print `No`.
Examples
Input
akasaka
Output
Yes
Input
level
Output
No
Input
atcoder
Output
No
"Correct Solution:
```
s=input();h=len(s)//2;print(' YNeos'[s[:h]==s[h-1::-1]==s[-h:]::2])
```
| 6,388
|
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|
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence A = {a0, a1, ... , an-1}, find the length of the longest increasing subsequnece (LIS) in A.
An increasing subsequence of A is defined by a subsequence {ai0, ai1, ... , aik} where 0 ≤ i0 < i1 < ... < ik < n and ai0 < ai1 < ... < aik.
Constraints
* 1 ≤ n ≤ 100000
* 0 ≤ ai ≤ 109
Input
n
a0
a1
:
an-1
In the first line, an integer n is given. In the next n lines, elements of A are given.
Output
The length of the longest increasing subsequence of A.
Examples
Input
5
5
1
3
2
4
Output
3
Input
3
1
1
1
Output
1
"Correct Solution:
```
#!/usr/bin/env python3
# n,m = map(int,sys.stdin.readline().split())
# a = list(map(int,sys.stdin.readline().split()))
# a = [sys.stdin.readline() for _ in range(n)]
# s = sys.stdin.readline().rstrip()
# n = int(sys.stdin.readline())
INF = float("inf")
import sys,bisect
sys.setrecursionlimit(15000)
n = int(sys.stdin.readline())
a = [int(sys.stdin.readline()) for _ in range(n)]
# naive O(n**2)
# dp = [0]*n
# for i in range(n):
# m = 0
# for j in range(0,i):
# if a[j] < a[i] and m <= dp[j]:
# m = dp[j]
# dp[i] = m+1
# print(max(dp))
import bisect
dp = [float("inf")]*n
dp[0] = a[0]
l = 0
for i in range(1,n):
if dp[l] < a[i]:
l += 1
dp[l] = a[i]
else:
j = bisect.bisect_left(dp,a[i])
dp[j] = a[i]
print(bisect.bisect_left(dp,float("inf")))
```
| 7,508
|
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import sys
readline = sys.stdin.readline
"""
import io,os
readline = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
"""
from operator import add
class Lazysegtree:
def __init__(self, A, fx, ex, fm, em, fa, initialize = True):
self.N = len(A)
self.N0 = 2**(self.N-1).bit_length()
self.dep = (self.N-1).bit_length()
self.fx = fx
self.ex = ex
self.em = em
self.lazy = [em]*(2*self.N0)
if initialize:
self.data = [self.ex]*self.N0 + A + [self.ex]*(self.N0 - self.N)
for i in range(self.N0-1, -1, -1):
self.data[i] = self.fx(self.data[2*i], self.data[2*i+1])
else:
self.data = [self.ex]*(2*self.N0)
def fa(self, ope, idx):
if ope is not None:
return ope*(1<<(self.dep - idx.bit_length() + 1))
return self.data[idx]
def fm(self, ope1, ope2):
return ope1
def __repr__(self):
s = 'data'
l = 'lazy'
cnt = 1
for i in range(self.N0.bit_length()):
s = '\n'.join((s, ' '.join(map(str, self.data[cnt:cnt+(1<<i)]))))
l = '\n'.join((l, ' '.join(map(str, self.lazy[cnt:cnt+(1<<i)]))))
cnt += 1<<i
return '\n'.join((s, l))
def _ascend(self, k):
k = k >> 1
c = k.bit_length()
for j in range(c):
idx = k >> j
self.data[idx] = self.fx(self.data[2*idx], self.data[2*idx+1])
def _descend(self, k):
k = k >> 1
idx = 1
c = k.bit_length()
for j in range(1, c+1):
idx = k >> (c - j)
if self.lazy[idx] == self.em:
continue
self.data[2*idx] = self.fa(self.lazy[idx], 2*idx)
self.data[2*idx+1] = self.fa(self.lazy[idx], 2*idx+1)
self.lazy[2*idx] = self.fm(self.lazy[idx], self.lazy[2*idx])
self.lazy[2*idx+1] = self.fm(self.lazy[idx], self.lazy[2*idx+1])
self.lazy[idx] = self.em
def query(self, l, r):
L = l+self.N0
R = r+self.N0
self._descend(L//(L & -L))
self._descend(R//(R & -R)-1)
sl = self.ex
sr = self.ex
while L < R:
if R & 1:
R -= 1
sr = self.fx(self.data[R], sr)
if L & 1:
sl = self.fx(sl, self.data[L])
L += 1
L >>= 1
R >>= 1
return self.fx(sl, sr)
def operate(self, l, r, x):
L = l+self.N0
R = r+self.N0
Li = L//(L & -L)
Ri = R//(R & -R)
self._descend(Li)
self._descend(Ri-1)
while L < R :
if R & 1:
R -= 1
self.data[R] = self.fa(x, R)
self.lazy[R] = self.fm(x, self.lazy[R])
if L & 1:
self.data[L] = self.fa(x, L)
self.lazy[L] = self.fm(x, self.lazy[L])
L += 1
L >>= 1
R >>= 1
self._ascend(Li)
self._ascend(Ri-1)
def propall(self):
for idx in range(1, self.N0):
self.data[2*idx] = self.fa(self.lazy[idx], 2*idx)
self.data[2*idx+1] = self.fa(self.lazy[idx], 2*idx+1)
self.lazy[2*idx] = self.fm(self.lazy[idx], self.lazy[2*idx])
self.lazy[2*idx+1] = self.fm(self.lazy[idx], self.lazy[2*idx+1])
T = int(readline())
Ans = ['NO']*T
for qu in range(T):
N, Q = map(int, readline().split())
S = list(map(int, readline().strip()))
T = list(map(int, readline().strip()))
"""
S = list(map(lambda x: int(x)-48, readline().strip()))
T = list(map(lambda x: int(x)-48, readline().strip()))
"""
Qs = [tuple(map(int, readline().split())) for _ in range(Q)]
K = Lazysegtree(T, add, 0, None, None, None)
for l, r in Qs[::-1]:
l -= 1
leng = r-l
x = K.query(l, r)
if 2*x > leng:
K.operate(l, r, 1)
elif 2*x == leng:
break
else:
K.operate(l, r, 0)
else:
if [K.query(i, i+1) for i in range(N)] == S:
Ans[qu] = 'YES'
print('\n'.join(Ans))
```
| 7,783
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import io
import os
from math import floor
# https://github.com/atcoder/ac-library/blob/master/atcoder/lazysegtree.hpp
class LazySegTree:
def __init__(self, _op, _e, _mapping, _composition, _id, v):
def set(p, x):
assert 0 <= p < _n
p += _size
for i in range(_log, 0, -1):
_push(p >> i)
_d[p] = x
for i in range(1, _log + 1):
_update(p >> i)
def get(p):
assert 0 <= p < _n
p += _size
for i in range(_log, 0, -1):
_push(p >> i)
return _d[p]
def prod(l, r):
assert 0 <= l <= r <= _n
if l == r:
return _e
l += _size
r += _size
for i in range(_log, 0, -1):
if ((l >> i) << i) != l:
_push(l >> i)
if ((r >> i) << i) != r:
_push(r >> i)
sml = _e
smr = _e
while l < r:
if l & 1:
sml = _op(sml, _d[l])
l += 1
if r & 1:
r -= 1
smr = _op(_d[r], smr)
l >>= 1
r >>= 1
return _op(sml, smr)
def apply(l, r, f):
assert 0 <= l <= r <= _n
if l == r:
return
l += _size
r += _size
for i in range(_log, 0, -1):
if ((l >> i) << i) != l:
_push(l >> i)
if ((r >> i) << i) != r:
_push((r - 1) >> i)
l2 = l
r2 = r
while l < r:
if l & 1:
_all_apply(l, f)
l += 1
if r & 1:
r -= 1
_all_apply(r, f)
l >>= 1
r >>= 1
l = l2
r = r2
for i in range(1, _log + 1):
if ((l >> i) << i) != l:
_update(l >> i)
if ((r >> i) << i) != r:
_update((r - 1) >> i)
def _update(k):
_d[k] = _op(_d[2 * k], _d[2 * k + 1])
def _all_apply(k, f):
_d[k] = _mapping(f, _d[k])
if k < _size:
_lz[k] = _composition(f, _lz[k])
def _push(k):
_all_apply(2 * k, _lz[k])
_all_apply(2 * k + 1, _lz[k])
_lz[k] = _id
_n = len(v)
_log = _n.bit_length()
_size = 1 << _log
_d = [_e] * (2 * _size)
_lz = [_id] * _size
for i in range(_n):
_d[_size + i] = v[i]
for i in range(_size - 1, 0, -1):
_update(i)
self.set = set
self.get = get
self.prod = prod
self.apply = apply
MIL = 1 << 20
def makeNode(total, count):
# Pack a pair into a float
return (total * MIL) + count
def getTotal(node):
return floor(node / MIL)
def getCount(node):
return node - getTotal(node) * MIL
nodeIdentity = makeNode(0.0, 0.0)
def nodeOp(node1, node2):
return node1 + node2
# Equivalent to the following:
return makeNode(
getTotal(node1) + getTotal(node2), getCount(node1) + getCount(node2)
)
identityMapping = -1
def mapping(tag, node):
if tag == identityMapping:
return node
# If assigned, new total is the number assigned times count
count = getCount(node)
return makeNode(tag * count, count)
def composition(mapping1, mapping2):
# If assigned multiple times, take first non-identity assignment
return mapping1 if mapping1 != identityMapping else mapping2
def solve(N, Q, S, F, LR):
segTree = LazySegTree(
nodeOp,
nodeIdentity,
mapping,
composition,
identityMapping,
[makeNode(float(d), 1.0) for d in F],
)
for l, r in LR[::-1]:
l -= 1
countOnes = getTotal(segTree.prod(l, r))
countZeroes = r - l - countOnes
if countZeroes > countOnes:
# Majority were zeroes
segTree.apply(l, r, 0)
elif countZeroes < countOnes:
# Majority were ones
segTree.apply(l, r, 1)
else:
# No majority
return "NO"
for i in range(N):
if getTotal(segTree.get(i)) != S[i]:
return "NO"
return "YES"
if __name__ == "__main__":
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
TC = int(input())
for tc in range(1, TC + 1):
N, Q = [int(x) for x in input().split()]
S = [int(d) for d in input().decode().rstrip()]
F = [int(d) for d in input().decode().rstrip()]
LR = [[int(x) for x in input().split()] for i in range(Q)]
ans = solve(N, Q, S, F, LR)
print(ans)
```
| 7,784
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import sys
input = sys.stdin.readline
def indexes(L,R):
INDLIST=[]
R-=1
L>>=1
R>>=1
while L!=R:
if L>R:
INDLIST.append(L)
L>>=1
else:
INDLIST.append(R)
R>>=1
while L!=0:
INDLIST.append(L)
L>>=1
return INDLIST
def updates(l,r,x):
L=l+seg_el
R=r+seg_el
L//=(L & (-L))
R//=(R & (-R))
UPIND=indexes(L,R)
for ind in UPIND[::-1]:
if LAZY[ind]!=None:
update_lazy = LAZY[ind] *(1<<(seg_height - 1 - (ind.bit_length())))
LAZY[ind<<1]=LAZY[1+(ind<<1)]=LAZY[ind]
SEG[ind<<1]=SEG[1+(ind<<1)]=update_lazy
LAZY[ind]=None
while L!=R:
if L > R:
SEG[L]=x * (1<<(seg_height - (L.bit_length())))
LAZY[L]=x
L+=1
L//=(L & (-L))
else:
R-=1
SEG[R]=x * (1<<(seg_height - (R.bit_length())))
LAZY[R]=x
R//=(R & (-R))
for ind in UPIND:
SEG[ind]=SEG[ind<<1]+SEG[1+(ind<<1)]
def getvalues(l,r):
L=l+seg_el
R=r+seg_el
L//=(L & (-L))
R//=(R & (-R))
UPIND=indexes(L,R)
for ind in UPIND[::-1]:
if LAZY[ind]!=None:
update_lazy = LAZY[ind] *(1<<(seg_height - 1 - (ind.bit_length())))
LAZY[ind<<1]=LAZY[1+(ind<<1)]=LAZY[ind]
SEG[ind<<1]=SEG[1+(ind<<1)]=update_lazy
LAZY[ind]=None
ANS=0
while L!=R:
if L > R:
ANS+=SEG[L]
L+=1
L//=(L & (-L))
else:
R-=1
ANS+=SEG[R]
R//=(R & (-R))
return ANS
t=int(input())
for tests in range(t):
n,q=map(int,input().split())
S=input().strip()
F=input().strip()
Q=[tuple(map(int,input().split())) for i in range(q)]
seg_el=1<<(n.bit_length())
seg_height=1+n.bit_length()
SEG=[0]*(2*seg_el)
LAZY=[None]*(2*seg_el)
for i in range(n):
SEG[i+seg_el]=int(F[i])
for i in range(seg_el-1,0,-1):
SEG[i]=SEG[i*2]+SEG[i*2+1]
for l,r in Q[::-1]:
SUM=r-l+1
xx=getvalues(l-1,r)
if xx*2==SUM:
print("NO")
break
else:
if xx*2>SUM:
updates(l-1,r,1)
else:
updates(l-1,r,0)
else:
for i in range(n):
if getvalues(i,i+1)==int(S[i]):
True
else:
print("NO")
break
else:
print("YES")
```
| 7,785
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
def __init__(self, file):
self.newlines = 0
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()
# --------------------------------------------------------------------
def RL(): return map(int, sys.stdin.readline().split())
def RLL(): return list(map(int, sys.stdin.readline().split()))
def N(): return int(input())
def S(): return input().strip()
def print_list(l): print(' '.join(map(str, l)))
# sys.setrecursionlimit(200000)
# import random
# from functools import reduce
# from functools import lru_cache
# from heapq import *
# from collections import deque as dq
# import math
# import bisect as bs
# from collections import Counter
# from collections import defaultdict as dc
def set_range(lx, rx, v, now):
if l <= lx and r >= rx:
label[now] = v
node[now] = rx - lx if v else 0
return
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: # 非对称操作启用该环节
node[nl] = node[nr] = node[now] >> 1
label[nl] = label[nr] = label[now]
label[now] = -1
if l < mx: set_range(lx, mx, v, nl)
if r > mx: set_range(mx, rx, v, nr)
node[now] = node[nl] + node[nr]
def get_range(lx, rx, now):
if l <= lx and r >= rx: return node[now]
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: return min(rx, r) - max(lx, l) if label[now] else 0
m1 = get_range(lx, mx, nl) if l < mx else 0
m2 = get_range(mx, rx, nr) if r > mx else 0
return m1 + m2
def match(lx, rx, now):
if lx >= n: return False
if now >= sn: return node[now] != s[lx]
if label[now] != -1: return any(v != label[now] for v in s[lx:rx])
mx = (rx + lx) >> 1
return match(lx, mx, now << 1) or match(mx, rx, now << 1 | 1)
ans = []
for _ in range(N()):
n, q = RL()
s, t = [int(c) for c in S()], [int(c) for c in S()]
p = [tuple(RL()) for _ in range(q)]
sn = 1 << n.bit_length()
node = [0] * sn + t + [0] * (sn - n)
label = [-1] * (2 * sn)
for i in range(sn - 1, 0, -1): node[i] = node[i << 1] + node[i << 1 | 1]
f = True
for l, r in p[::-1]:
l -= 1
count = get_range(0, sn, 1) * 2
if count == r - l:
f = False
break
set_range(0, sn, 1 if count > r - l else 0, 1)
ans.append('YES' if f and not match(0, sn, 1) else 'NO')
print('\n'.join(ans))
```
| 7,786
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import sys, io, os
if os.environ['USERNAME']=='kissz':
inp1=inp2=open('in.txt','r').readline
def debug(*args):
print(*args,file=sys.stderr)
else:
#inp1=input
inp1=inp2=sys.stdin.readline
#inp2=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def debug(*args):
pass
# SCRIPT STARTS HERE
class lazytree:
def __init__(self,array):
n=len(array)-1
i=1
while n:
n>>=1
i+=1
self.tree=[0]*(2**(i-1)-1)+array+[0]*(2**(i-1)-len(array))
self.l=0
self.r=2**(i-1)-1
self.lazy=[0]*(2**i-1)
self.lazyval=[0]*(2**i-1)
for i in range(2**(i-1)-2,-1,-1):
self.tree[i]=self.tree[2*i+1]+self.tree[2*i+2]
def query(self,l,r):
if l==self.l and r==self.r:
parents=[]
children=[(0,l,r)]
else:
parents=[(0,self.l,self.r)]
children=[]
i=0
while i<len(parents):
loc,L,R=parents[i]
left=(loc*2+1,L,L+(R-L+1)//2-1)
right=(loc*2+2,L+(R-L+1)//2,R)
if self.lazy[loc]:
self.lazy[loc]=0
self.tree[left[0]]=self.tree[right[0]]=(left[2]-left[1]+1)*self.lazyval[loc]
self.lazy[left[0]]=self.lazy[right[0]]=1
self.lazyval[left[0]]=self.lazyval[right[0]]=self.lazyval[loc]
if l<=left[1] and left[2]<=r:
children.append(left)
elif left[1]<=l<=left[2] or left[1]<=r<=left[2]:
parents.append(left)
if l<=right[1] and right[2]<=r:
children.append(right)
elif right[1]<=l<=right[2] or right[1]<=r<=right[2]:
parents.append(right)
i+=1
ones=sum(self.tree[child[0]] for child in children)
zeros=r-l+1-ones
if ones==zeros:
return -1
elif ones>zeros:
for child in children:
self.tree[child[0]]=child[2]-child[1]+1
self.lazy[child[0]]=1
self.lazyval[child[0]]=1
else:
for child in children:
self.tree[child[0]]=0
self.lazy[child[0]]=1
self.lazyval[child[0]]=0
for i,_,_ in reversed(parents):
self.tree[i]=self.tree[2*i+1]+self.tree[2*i+2]
return self.tree[child[0]]
def get_all(self):
n=self.r-self.l
for i in range(n):
if self.lazy[i]:
self.lazy[i]=0
self.tree[2*i+1]=self.tree[2*i+2]=self.lazyval[i] # destroying tree
self.lazy[2*i+1]=self.lazy[2*i+2]=1
self.lazyval[2*i+1]=self.lazyval[2*i+2]=self.lazyval[i]
return self.tree[n:]
for _ in range(int(inp2())):
n,q=map(int,inp2().split())
s=[int(c) for c in inp1().strip()]
f=[int(c) for c in inp1().strip()]
moves=[]
ans=True
for _ in range(q):
l,r=map(int,inp2().split())
moves.append((l-1,r-1))
tr=lazytree(f)
for l,r in reversed(moves):
success=tr.query(l,r)
if success==-1:
break
else:
f=tr.get_all()[:n]
if f!=s: success=-1
if success>=0:
print('YES')
else:
print('NO')
```
| 7,787
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
def __init__(self, file):
self.newlines = 0
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 = sys.stdin.readline
# --------------------------------------------------------------------
def RL(): return map(int, sys.stdin.readline().split())
def RLL(): return list(map(int, sys.stdin.readline().split()))
def N(): return int(input())
def S(): return input().strip()
def print_list(l): print(' '.join(map(str, l)))
# sys.setrecursionlimit(200000)
# import random
# from functools import reduce
# from functools import lru_cache
# from heapq import *
# from collections import deque as dq
# import math
# import bisect as bs
# from collections import Counter
# from collections import defaultdict as dc
def set_range(lx, rx, v, now):
if l <= lx and r >= rx:
label[now] = v
node[now] = rx - lx if v else 0
return
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: # 非对称操作启用该环节
node[nl] = node[nr] = node[now] >> 1
label[nl] = label[nr] = label[now]
label[now] = -1
if l < mx: set_range(lx, mx, v, nl)
if r > mx: set_range(mx, rx, v, nr)
node[now] = node[nl] + node[nr]
def get_range(lx, rx, now):
if l <= lx and r >= rx: return node[now]
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: return min(rx, r) - max(lx, l) if label[now] else 0
m1 = get_range(lx, mx, nl) if l < mx else 0
m2 = get_range(mx, rx, nr) if r > mx else 0
return m1 + m2
def match(lx, rx, now):
if lx >= n: return False
if now >= sn: return node[now] != s[lx]
if label[now] != -1: return any(v != label[now] for v in s[lx:rx])
mx = (rx + lx) >> 1
return match(lx, mx, now << 1) or match(mx, rx, now << 1 | 1)
for _ in range(N()):
n, q = RL()
s, t = [int(c) for c in S()], [int(c) for c in S()]
p = [tuple(RL()) for _ in range(q)]
sn = 1 << n.bit_length()
node = [0] * sn + t + [0] * (sn - n)
label = [-1] * (2 * sn)
for i in range(sn - 1, 0, -1): node[i] = node[i << 1] + node[i << 1 | 1]
f = True
for l, r in p[::-1]:
l -= 1
count = get_range(0, sn, 1) * 2
if count == r - l:
f = False
break
set_range(0, sn, 1 if count > r - l else 0, 1)
print('YES' if f and not match(0, sn, 1) else 'NO')
```
| 7,788
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
# lazy segment tree
t=[0]*(4*200000)
lazy=[-1]*(4*200000)
def build(a,v,tl,tr):
if (tl==tr):
t[v]=a[tl]
else:
tm=(tl+tr)//2
build(a,v*2,tl,tm)
build(a,v*2+1,tm+1,tr)
t[v]=t[v*2]+t[v*2+1]
return
def push(v,tl,tr):
if lazy[v]==-1:
return
tm=(tl+tr)//2
t[v*2]=lazy[v]*(tm-tl+1)
lazy[v*2]=lazy[v];
t[v*2+1]=lazy[v]*(tr-tm)
lazy[v*2+1]=lazy[v]
lazy[v]=-1
return
def update(v,tl,tr,l,r,setval):
# print('v:{} tl:{} tr:{} l:{} r:{}'.format(v,tl,tr,l,r))
if (r<tl or l>tr):
return
if (l<=tl and tr<=r):
t[v]=(tr-tl+1)*setval
lazy[v]=setval
else:
push(v,tl,tr)
tm=(tl+tr)//2
update(v*2,tl,tm,l,r,setval)
update(v*2+1,tm+1,tr,l,r,setval)
t[v]=t[v*2]+t[v*2+1]
return
def query(v,tl,tr,l,r):
if (r<tl or l>tr):
return 0
if l<=tl and tr<=r:
return t[v]
push(v,tl,tr)
tm=(tl+tr)//2
returnVal=query(v*2,tl,tm,l,r)+query(v*2+1,tm+1,tr,l,r)
return returnVal
def reconstruct(v,tl,tr,f2):
if tl==tr:
f2.append(t[v])
else:
push(v,tl,tr)
tm=(tl+tr)//2
reconstruct(v*2,tl,tm,f2)
reconstruct(v*2+1,tm+1,tr,f2)
return
def main():
z=int(input())
allans=[]
for _ in range(z):
n,q=readIntArr()
sf=input()
ss=input()
lr=[None for __ in range(q)]
for i in range(q-1,-1,-1):
l,r=readIntArr()
l-=1
r-=1
lr[i]=[l,r]
s=[c-ord('0') for c in ss]
f=[c-ord('0') for c in sf]
for i in range(4*n):
t[i]=0
lazy[i]=-1
build(s,1,0,n-1)
ok=True
for i in range(q):
l,r=lr[i]
nElems=r-l+1
total=query(1,0,n-1,l,r)
if total*2<nElems: updateVal=0
elif total*2>nElems: updateVal=1
else:
ok=False
break
update(1,0,n-1,l,r,updateVal)
if not ok:
allans.append('NO')
continue
f2=[]
reconstruct(1,0,n-1,f2)
ok=True
for i in range(n):
if f[i]!=f2[i]:
ok=False
break
if ok:
allans.append('YES')
else:
allans.append('NO')
multiLineArrayPrint(allans)
return
import sys
input=sys.stdin.buffer.readline #FOR READING PURE INTEGER INPUTS (space separation ok)
# input=lambda: sys.stdin.readline().rstrip("\r\n") #FOR READING STRING/TEXT INPUTS.
def oneLineArrayPrint(arr):
print(' '.join([str(x) for x in arr]))
def multiLineArrayPrint(arr):
print('\n'.join([str(x) for x in arr]))
def multiLineArrayOfArraysPrint(arr):
print('\n'.join([' '.join([str(x) for x in y]) for y in arr]))
def readIntArr():
return [int(x) for x in input().split()]
# def readFloatArr():
# return [float(x) for x in input().split()]
def makeArr(defaultValFactory,dimensionArr): # eg. makeArr(lambda:0,[n,m])
dv=defaultValFactory;da=dimensionArr
if len(da)==1:return [dv() for _ in range(da[0])]
else:return [makeArr(dv,da[1:]) for _ in range(da[0])]
def queryInteractive(x,y):
print('? {} {}'.format(x,y))
sys.stdout.flush()
return int(input())
def answerInteractive(ans):
print('! {}'.format(ans))
sys.stdout.flush()
inf=float('inf')
MOD=10**9+7
# MOD=998244353
for _abc in range(1):
main()
```
| 7,789
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Tags: data structures, greedy
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
def __init__(self, file):
self.newlines = 0
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()
# --------------------------------------------------------------------
def RL(): return map(int, sys.stdin.readline().split())
def RLL(): return list(map(int, sys.stdin.readline().split()))
def N(): return int(input())
def S(): return input().strip()
def print_list(l): print(' '.join(map(str, l)))
# sys.setrecursionlimit(200000)
# import random
# from functools import reduce
# from functools import lru_cache
# from heapq import *
# from collections import deque as dq
# import math
# import bisect as bs
# from collections import Counter
# from collections import defaultdict as dc
def set_range(lx, rx, v, now):
if l <= lx and r >= rx:
label[now] = v
node[now] = rx - lx if v else 0
return
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: # 非对称操作启用该环节
node[nl] = node[nr] = node[now] >> 1
label[nl] = label[nr] = label[now]
label[now] = -1
if l < mx:
set_range(lx, mx, v, nl)
if r > mx:
set_range(mx, rx, v, nr)
node[now] = node[nl] + node[nr]
def get_range(lx, rx, now):
if l <= lx and r >= rx:
return node[now]
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: # 非对称操作启用该环节
return min(rx, r) - max(lx, l) if label[now] else 0
m1 = get_range(lx, mx, nl) if l < mx else 0
m2 = get_range(mx, rx, nr) if r > mx else 0
return m1 + m2
def match(lx, rx, now):
if lx >= n: return False
if now >= sn:
return node[now] != s[lx]
if label[now] != -1:
return any(v != label[now] for v in s[lx:rx])
mx = (rx + lx) >> 1
return match(lx, mx, now << 1) or match(mx, rx, now << 1 | 1)
ans = []
for _ in range(N()):
n, q = RL()
s = [int(c) for c in S()]
t = [int(c) for c in S()]
p = [tuple(RL()) for _ in range(q)]
sn = 1 << n.bit_length()
node = [0] * sn + t + [0] * (sn - n)
label = [-1] * (2 * sn)
for i in range(sn - 1, 0, -1): node[i] = node[i << 1] + node[i << 1 | 1]
f = True
for l, r in p[::-1]:
l -= 1
count = get_range(0, sn, 1) * 2
if count == r - l:
f = False
break
if count > r - l:
set_range(0, sn, 1, 1)
else:
set_range(0, sn, 0, 1)
ans.append('YES' if f and not match(0, sn, 1) else 'NO')
print('\n'.join(ans))
```
| 7,790
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Submitted Solution:
```
import os
import sys
from io import BytesIO, IOBase
# region fastio
BUFSIZE = 8192
class FastIO(IOBase):
def __init__(self, file):
self.newlines = 0
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()
# --------------------------------------------------------------------
def RL(): return map(int, sys.stdin.readline().split())
def RLL(): return list(map(int, sys.stdin.readline().split()))
def N(): return int(input())
def S(): return input().strip()
def print_list(l): print(' '.join(map(str, l)))
# sys.setrecursionlimit(200000)
# import random
# from functools import reduce
# from functools import lru_cache
# from heapq import *
# from collections import deque as dq
# import math
# import bisect as bs
# from collections import Counter
# from collections import defaultdict as dc
def set_range(lx, rx, v, now):
if l <= lx and r >= rx:
label[now] = v
node[now] = rx - lx if v else 0
return
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: # 非对称操作启用该环节
node[nl] = node[nr] = node[now] >> 1
label[nl] = label[nr] = label[now]
label[now] = -1
if l < mx: set_range(lx, mx, v, nl)
if r > mx: set_range(mx, rx, v, nr)
node[now] = node[nl] + node[nr]
def get_range(lx, rx, now):
if l <= lx and r >= rx: return node[now]
mx = (lx + rx) >> 1
nl = now << 1
nr = nl + 1
if label[now] != -1: return min(rx, r) - max(lx, l) if label[now] else 0
m1 = get_range(lx, mx, nl) if l < mx else 0
m2 = get_range(mx, rx, nr) if r > mx else 0
return m1 + m2
def match(lx, rx, now):
if lx >= n: return False
if now >= sn: return node[now] != s[lx]
if label[now] != -1: return any(v != label[now] for v in s[lx:rx])
mx = (rx + lx) >> 1
return match(lx, mx, now << 1) or match(mx, rx, now << 1 | 1)
for _ in range(N()):
n, q = RL()
s, t = [int(c) for c in S()], [int(c) for c in S()]
p = [tuple(RL()) for _ in range(q)]
sn = 1 << n.bit_length()
node = [0] * sn + t + [0] * (sn - n)
label = [-1] * (2 * sn)
for i in range(sn - 1, 0, -1): node[i] = node[i << 1] + node[i << 1 | 1]
f = True
for l, r in p[::-1]:
l -= 1
count = get_range(0, sn, 1) * 2
if count == r - l:
f = False
break
set_range(0, sn, 1 if count > r - l else 0, 1)
print('YES' if f and not match(0, sn, 1) else 'NO')
```
Yes
| 7,791
|
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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.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Submitted Solution:
```
"""
import sys
readline = sys.stdin.readline
"""
import io,os
readline = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
from operator import add
class Lazysegtree:
def __init__(self, A, fx, ex, fm, em, fa, initialize = True):
self.N = len(A)
self.N0 = 2**(self.N-1).bit_length()
self.fx = fx
self.ex = ex
self.em = em
self.lazy = [em]*(2*self.N0)
if initialize:
self.data = [self.ex]*self.N0 + A + [self.ex]*(self.N0 - self.N)
for i in range(self.N0-1, -1, -1):
self.data[i] = self.fx(self.data[2*i], self.data[2*i+1])
else:
self.data = [self.ex]*(2*self.N0)
def fa(self, ope, idx):
if ope is not None:
return ope
return self.data[idx]
def fm(self, ope1, ope2):
return ope1
def __repr__(self):
s = 'data'
l = 'lazy'
cnt = 1
for i in range(self.N0.bit_length()):
s = '\n'.join((s, ' '.join(map(str, self.data[cnt:cnt+(1<<i)]))))
l = '\n'.join((l, ' '.join(map(str, self.lazy[cnt:cnt+(1<<i)]))))
cnt += 1<<i
return '\n'.join((s, l))
def _ascend(self, k):
k = k >> 1
c = k.bit_length()
for j in range(c):
idx = k >> j
self.data[idx] = self.fx(self.data[2*idx], self.data[2*idx+1])
def _descend(self, k):
k = k >> 1
idx = 1
c = k.bit_length()
for j in range(1, c+1):
idx = k >> (c - j)
if self.lazy[idx] == self.em:
continue
self.data[2*idx] = self.fa(self.lazy[idx], 2*idx)
self.data[2*idx+1] = self.fa(self.lazy[idx], 2*idx+1)
self.lazy[2*idx] = self.fm(self.lazy[idx], self.lazy[2*idx])
self.lazy[2*idx+1] = self.fm(self.lazy[idx], self.lazy[2*idx+1])
self.lazy[idx] = self.em
def query(self, l, r):
L = l+self.N0
R = r+self.N0
self._descend(L//(L & -L))
self._descend(R//(R & -R)-1)
sl = self.ex
sr = self.ex
while L < R:
if R & 1:
R -= 1
sr = self.fx(self.data[R], sr)
if L & 1:
sl = self.fx(sl, self.data[L])
L += 1
L >>= 1
R >>= 1
return self.fx(sl, sr)
def operate(self, l, r, x):
L = l+self.N0
R = r+self.N0
Li = L//(L & -L)
Ri = R//(R & -R)
self._descend(Li)
self._descend(Ri-1)
while L < R :
if R & 1:
R -= 1
self.data[R] = self.fa(x, R)
self.lazy[R] = self.fm(x, self.lazy[R])
if L & 1:
self.data[L] = self.fa(x, L)
self.lazy[L] = self.fm(x, self.lazy[L])
L += 1
L >>= 1
R >>= 1
self._ascend(Li)
self._ascend(Ri-1)
def propall(self):
for idx in range(1, self.N0):
self.data[2*idx] = self.fa(self.lazy[idx], 2*idx)
self.data[2*idx+1] = self.fa(self.lazy[idx], 2*idx+1)
self.lazy[2*idx] = self.fm(self.lazy[idx], self.lazy[2*idx])
self.lazy[2*idx+1] = self.fm(self.lazy[idx], self.lazy[2*idx+1])
T = int(readline())
Ans = ['NO']*T
for qu in range(T):
N, Q = map(int, readline().split())
"""
S = list(map(int, readline().strip()))
T = list(map(int, readline().strip()))
"""
S = list(map(lambda x: int(x)-48, readline().strip()))
T = list(map(lambda x: int(x)-48, readline().strip()))
Qs = [tuple(map(int, readline().split())) for _ in range(Q)]
K = Lazysegtree(T, add, 0, None, None, None)
for l, r in Qs[::-1]:
l -= 1
leng = r-l
x = K.query(l, r)
if 2*x > leng:
K.operate(l, r, 0)
elif 2*x == leng:
break
else:
K.operate(l, r, 1)
else:
if [K.query(i, i+1) for i in range(N)] == S:
Ans[qu] = 'YES'
print('\n'.join(Ans))
```
No
| 7,792
|
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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.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Submitted Solution:
```
from sys import stdin
def log2(x):
if x == 1:
return 1
if x > 1 and x <= 2:
return 2
return log2(x / 2) * 2
def findsum(qs, qe, seg, lz):
summ = 0
stack = [[0, 1, length]]
while stack:
pos, ss, se = stack.pop()
if lz[pos] != -1:
seg[pos] = lz[pos] * (se - ss + 1)
if ss != se:
lz[pos * 2 + 1] = lz[pos]
lz[pos * 2 + 2] = lz[pos]
lz[pos] = -1
if (qs > se) or (qe < ss):
continue
if (qs <= ss) and (qe >= se):
summ += seg[pos]
continue
if ss != se:
mid = (ss + se) // 2
stack.append([pos * 2 + 1, ss, mid])
stack.append([pos * 2 + 2, mid + 1, se])
return summ
def update(pos, ss, se, direc):
if lz[pos] != -1:
seg[pos] = (se - ss + 1) * lz[pos]
if (ss != se):
lz[pos * 2 + 1] = lz[pos]
lz[pos * 2 + 2] - lz[pos]
lz[pos] = -1
if (qs > se) or (qe < ss):
return
elif (qs <= ss) and (qe >= se):
seg[pos] = (se - ss + 1) * direc
if ss != se:
lz[pos * 2 + 1] = direc
lz[pos * 2 + 2] = direc
return
mid = (se + ss) // 2
update(pos * 2 + 1, ss, mid, direc)
update(pos * 2 + 2, mid + 1, se, direc)
seg[pos] = seg[pos * 2 + 1] + seg[pos * 2 + 2]
def clean(seg, lz):
stack = [[0, 1, length]]
while stack:
pos, ss, se = stack.pop()
if lz[pos] != -1:
if ss != se:
lz[pos * 2 + 1] = lz[pos]
lz[pos * 2 + 2] = lz[pos]
else:
seg[pos] = (se - ss + 1) * lz[pos]
if ss != se:
mid = (se + ss) // 2
stack.append([pos * 2 + 1, ss, mid])
stack.append([pos * 2 + 2, mid + 1, se])
t = int(stdin.readline())
for _ in range(t):
n, q = map(int,stdin.readline().split())
s = stdin.readline().strip()
f = stdin.readline().strip()
length = log2(n)
queries = [map(int, stdin.readline().split()) for quer in range(q)]
seg = [0] * (length - 1) + list(map(int, list(f))) + [0] * (length - n)
for pos in range(length - 2, -1, -1):
seg[pos] = seg[pos * 2 + 1] + seg[pos * 2 + 2]
lz = [-1] * (2 * length - 1)
flag = True
for qs, qe in queries[::-1]:
dis = qe - qs + 1
tong = findsum(qs, qe, seg, lz)
if tong * 2 == dis:
flag = False
break
else:
if tong * 2 > dis:
update(0, 1, length, 1)
else:
update(0, 1, length, 0)
#print(seg, lz)
if flag == False:
print('no')
else:
clean(seg, lz)
#print(seg, lz)
if seg[-length: -length + n] == [int(s[i]) for i in range(n)]:
print('yes')
else:
print('no')
```
No
| 7,793
|
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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.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Submitted Solution:
```
import sys
from functools import lru_cache, cmp_to_key
from heapq import merge, heapify, heappop, heappush
from math import *
from collections import defaultdict as dd, deque, Counter as C
from itertools import combinations as comb, permutations as perm
from bisect import bisect_left as bl, bisect_right as br, bisect
from time import perf_counter
from fractions import Fraction
import copy
import time
starttime = time.time()
mod = int(pow(10, 9) + 7)
mod2 = 998244353
def data(): return sys.stdin.readline().strip()
def out(*var, end="\n"): sys.stdout.write(' '.join(map(str, var))+end)
def L(): return list(sp())
def sl(): return list(ssp())
def sp(): return map(int, data().split())
def ssp(): return map(str, data().split())
def l1d(n, val=0): return [val for i in range(n)]
def l2d(n, m, val=0): return [l1d(n, val) for j in range(m)]
try:
# sys.setrecursionlimit(int(pow(10,4)))
sys.stdin = open("input.txt", "r")
# sys.stdout = open("../output.txt", "w")
except:
pass
def pmat(A):
for ele in A:
print(*ele,end="\n")
# def seive():
# prime=[1 for i in range(10**6+1)]
# prime[0]=0
# prime[1]=0
# for i in range(10**6+1):
# if(prime[i]):
# for j in range(2*i,10**6+1,i):
# prime[j]=0
# return prime
import sys
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def indexes(L,R):
INDLIST=[]
R-=1
L>>=1
R>>=1
while L!=R:
if L>R:
INDLIST.append(L)
L>>=1
else:
INDLIST.append(R)
R>>=1
while L!=0:
INDLIST.append(L)
L>>=1
return INDLIST
def updates(l,r,x):
L=l+seg_el
R=r+seg_el
L//=(L & (-L))
R//=(R & (-R))
UPIND=indexes(L,R)
for ind in UPIND[::-1]:
if LAZY[ind]!=None:
update_lazy = LAZY[ind] *(1<<(seg_height - 1 - (ind.bit_length())))
LAZY[ind<<1]=LAZY[1+(ind<<1)]=LAZY[ind]
SEG[ind<<1]=SEG[1+(ind<<1)]=update_lazy
LAZY[ind]=None
while L!=R:
if L > R:
SEG[L]=x * (1<<(seg_height - (L.bit_length())))
LAZY[L]=x
L+=1
L//=(L & (-L))
else:
R-=1
SEG[R]=x * (1<<(seg_height - (R.bit_length())))
LAZY[R]=x
R//=(R & (-R))
for ind in UPIND:
SEG[ind]=SEG[ind<<1]+SEG[1+(ind<<1)]
def getvalues(l,r):
L=l+seg_el
R=r+seg_el
L//=(L & (-L))
R//=(R & (-R))
UPIND=indexes(L,R)
for ind in UPIND[::-1]:
if LAZY[ind]!=None:
update_lazy = LAZY[ind] *(1<<(seg_height - 1 - (ind.bit_length())))
LAZY[ind<<1]=LAZY[1+(ind<<1)]=LAZY[ind]
SEG[ind<<1]=SEG[1+(ind<<1)]=update_lazy
LAZY[ind]=None
ANS=0
while L!=R:
if L > R:
ANS+=SEG[L]
L+=1
L//=(L & (-L))
else:
R-=1
ANS+=SEG[R]
R//=(R & (-R))
return ANS
t=int(input())
for tests in range(t):
n,q=map(int,input().split())
S=input().strip()
F=input().strip()
Q=[tuple(map(int,input().split())) for i in range(q)]
seg_el=1<<(n.bit_length())
seg_height=1+n.bit_length()
SEG=[0]*(2*seg_el)
LAZY=[None]*(2*seg_el)
for i in range(n):
SEG[i+seg_el]=int(F[i])
for i in range(seg_el-1,0,-1):
SEG[i]=SEG[i*2]+SEG[i*2+1]
for l,r in Q[::-1]:
SUM=r-l+1
xx=getvalues(l-1,r)
if xx*2==SUM:
print("NO")
break
else:
if xx*2>SUM:
updates(l-1,r,1)
else:
updates(l-1,r,0)
else:
for i in range(n):
if getvalues(i,i+1)==int(S[i]):
True
else:
print("NO")
break
else:
print("YES")
endtime = time.time()
# print(f"Runtime of the program is {endtime - starttime}")
```
No
| 7,794
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nezzar has a binary string s of length n that he wants to share with his best friend, Nanako. Nanako will spend q days inspecting the binary string. At the same time, Nezzar wants to change the string s into string f during these q days, because it looks better.
It is known that Nanako loves consistency so much. On the i-th day, Nanako will inspect a segment of string s from position l_i to position r_i inclusive. If the segment contains both characters '0' and '1', Nanako becomes unhappy and throws away the string.
After this inspection, at the i-th night, Nezzar can secretly change strictly less than half of the characters in the segment from l_i to r_i inclusive, otherwise the change will be too obvious.
Now Nezzar wonders, if it is possible to avoid Nanako being unhappy and at the same time have the string become equal to the string f at the end of these q days and nights.
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.
The first line of each test case contains two integers n,q (1 ≤ n ≤ 2 ⋅ 10^5, 0 ≤ q ≤ 2 ⋅ 10^5).
The second line of each test case contains a binary string s of length n.
The third line of each test case contains a binary string f of length n.
Then q lines follow, i-th of them contains two integers l_i,r_i (1 ≤ l_i ≤ r_i ≤ n) — bounds of the segment, that Nanako will inspect on the i-th day.
It is guaranteed that the sum of n for all test cases doesn't exceed 2 ⋅ 10^5, and the sum of q for all test cases doesn't exceed 2 ⋅ 10^5.
Output
For each test case, print "YES" on the single line if it is possible to avoid Nanako being unhappy and have the string f at the end of q days and nights. Otherwise, print "NO".
You can print each letter in any case (upper or lower).
Example
Input
4
5 2
00000
00111
1 5
1 3
2 1
00
01
1 2
10 6
1111111111
0110001110
1 10
5 9
7 10
1 7
3 5
6 10
5 2
10000
11000
2 5
1 3
Output
YES
NO
YES
NO
Note
In the first test case, \underline{00000} → \underline{000}11 → 00111 is one of the possible sequences of string changes.
In the second test case, it can be shown that it is impossible to have the string f at the end.
Submitted Solution:
```
import sys
input = sys.stdin.readline
def segfunc(x,y):
return x + y
class LazySegTree_RUQ:
def __init__(self, init_val, segfunc, ide_ele):
n = len(init_val)
self.segfunc = segfunc
self.ide_ele = ide_ele
self.num = 1 << (n - 1).bit_length()
self.tree = [ide_ele] * 2 * self.num
self.lazy = [None] * 2 * self.num
for i in range(n):
self.tree[self.num + i] = init_val[i]
for i in range(self.num - 1, 0, -1):
self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1])
def gindex(self, l, r):
l += self.num
r += self.num
lm = l >> (l & -l).bit_length()
rm = r >> (r & -r).bit_length()
while r > l:
if l <= lm:
yield l
if r <= rm:
yield r
r >>= 1
l >>= 1
while l:
yield l
l >>= 1
def propagates(self, *ids):
for i in reversed(ids):
v = self.lazy[i]
if v is None:
continue
self.lazy[i] = None
self.lazy[2 * i] = v
self.lazy[2 * i + 1] = v
self.tree[2 * i] = v
self.tree[2 * i + 1] = v
def update(self, l, r, x):
*ids, = self.gindex(l, r)
self.propagates(*ids)
l += self.num
r += self.num
while l < r:
if l & 1:
self.lazy[l] = x
self.tree[l] = x
l += 1
if r & 1:
self.lazy[r - 1] = x
self.tree[r - 1] = x
r >>= 1
l >>= 1
for i in ids:
self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1])
def query(self, l, r):
*ids, = self.gindex(l, r)
self.propagates(*ids)
res = self.ide_ele
l += self.num
r += self.num
while l < r:
if l & 1:
res = self.segfunc(res, self.tree[l])
l += 1
if r & 1:
res = self.segfunc(res, self.tree[r - 1])
l >>= 1
r >>= 1
return res
def main():
n, q = map(int, input().split())
S = list(map(int, input().strip()))
T = list(map(int, input().strip()))
lr = [list(map(int, input().split())) for _ in range(q)]
seg = LazySegTree_RUQ(T,segfunc,0)
for l, r in lr[::-1]:
c = seg.query(l - 1, r)
z = r - l + 1
if z == c * 2:
print("NO")
return
if c == z or c == 0:
continue
elif c * 2 < z:
seg.update(l - 1, r, 1)
else:
seg.update(l - 1, r, 0)
for i in range(n):
if seg.query(i, i + 1) != S[i]:
print("NO")
return
print("YES")
for _ in range(int(input())):
main()
```
No
| 7,795
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
You will receive 5 points for solving this problem.
Manao has invented a new operation on strings that is called folding. Each fold happens between a pair of consecutive letters and places the second part of the string above first part, running in the opposite direction and aligned to the position of the fold. Using this operation, Manao converts the string into a structure that has one more level than there were fold operations performed. See the following examples for clarity.
We will denote the positions of folds with '|' characters. For example, the word "ABRACADABRA" written as "AB|RACA|DAB|RA" indicates that it has been folded three times: first, between the leftmost pair of 'B' and 'R' letters; second, between 'A' and 'D'; and third, between the rightmost pair of 'B' and 'R' letters. Here are several examples of folded strings:
"ABCDEF|GHIJK" | "A|BCDEFGHIJK" | "AB|RACA|DAB|RA" | "X|XXXXX|X|X|XXXXXX"
| | | XXXXXX
KJIHG | KJIHGFEDCB | AR | X
ABCDEF | A | DAB | X
| | ACAR | XXXXX
| | AB | X
One last example for "ABCD|EFGH|IJ|K":
K
IJ
HGFE
ABCD
Manao noticed that each folded string can be viewed as several piles of letters. For instance, in the previous example, there are four piles, which can be read as "AHI", "BGJK", "CF", and "DE" from bottom to top. Manao wonders what is the highest pile of identical letters he can build using fold operations on a given word. Note that the pile should not contain gaps and should start at the bottom level. For example, in the rightmost of the four examples above, none of the piles would be considered valid since each of them has gaps, starts above the bottom level, or both.
Input
The input will consist of one line containing a single string of n characters with 1 ≤ n ≤ 1000 and no spaces. All characters of the string will be uppercase letters.
This problem doesn't have subproblems. You will get 5 points for the correct submission.
Output
Print a single integer — the size of the largest pile composed of identical characters that can be seen in a valid result of folding operations on the given string.
Examples
Input
ABRACADABRA
Output
3
Input
ABBBCBDB
Output
3
Input
AB
Output
1
Note
Consider the first example. Manao can create a pile of three 'A's using the folding "AB|RACAD|ABRA", which results in the following structure:
ABRA
DACAR
AB
In the second example, Manao can create a pile of three 'B's using the following folding: "AB|BB|CBDB".
CBDB
BB
AB
Another way for Manao to create a pile of three 'B's with "ABBBCBDB" is the following folding: "AB|B|BCBDB".
BCBDB
B
AB
In the third example, there are no folds performed and the string is just written in one line.
Tags: brute force
Correct Solution:
```
t = {}
for i, c in enumerate(input()):
if c not in t: t[c] = (i, 1)
elif (t[c][0] - i) & 1: t[c] = (i, t[c][1] + 1)
print(max(b for a, b in t.values()))
```
| 7,900
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
You will receive 5 points for solving this problem.
Manao has invented a new operation on strings that is called folding. Each fold happens between a pair of consecutive letters and places the second part of the string above first part, running in the opposite direction and aligned to the position of the fold. Using this operation, Manao converts the string into a structure that has one more level than there were fold operations performed. See the following examples for clarity.
We will denote the positions of folds with '|' characters. For example, the word "ABRACADABRA" written as "AB|RACA|DAB|RA" indicates that it has been folded three times: first, between the leftmost pair of 'B' and 'R' letters; second, between 'A' and 'D'; and third, between the rightmost pair of 'B' and 'R' letters. Here are several examples of folded strings:
"ABCDEF|GHIJK" | "A|BCDEFGHIJK" | "AB|RACA|DAB|RA" | "X|XXXXX|X|X|XXXXXX"
| | | XXXXXX
KJIHG | KJIHGFEDCB | AR | X
ABCDEF | A | DAB | X
| | ACAR | XXXXX
| | AB | X
One last example for "ABCD|EFGH|IJ|K":
K
IJ
HGFE
ABCD
Manao noticed that each folded string can be viewed as several piles of letters. For instance, in the previous example, there are four piles, which can be read as "AHI", "BGJK", "CF", and "DE" from bottom to top. Manao wonders what is the highest pile of identical letters he can build using fold operations on a given word. Note that the pile should not contain gaps and should start at the bottom level. For example, in the rightmost of the four examples above, none of the piles would be considered valid since each of them has gaps, starts above the bottom level, or both.
Input
The input will consist of one line containing a single string of n characters with 1 ≤ n ≤ 1000 and no spaces. All characters of the string will be uppercase letters.
This problem doesn't have subproblems. You will get 5 points for the correct submission.
Output
Print a single integer — the size of the largest pile composed of identical characters that can be seen in a valid result of folding operations on the given string.
Examples
Input
ABRACADABRA
Output
3
Input
ABBBCBDB
Output
3
Input
AB
Output
1
Note
Consider the first example. Manao can create a pile of three 'A's using the folding "AB|RACAD|ABRA", which results in the following structure:
ABRA
DACAR
AB
In the second example, Manao can create a pile of three 'B's using the following folding: "AB|BB|CBDB".
CBDB
BB
AB
Another way for Manao to create a pile of three 'B's with "ABBBCBDB" is the following folding: "AB|B|BCBDB".
BCBDB
B
AB
In the third example, there are no folds performed and the string is just written in one line.
Tags: brute force
Correct Solution:
```
t = {}
for i, c in enumerate(input()):
if c not in t: t[c] = (i, 1)
elif (t[c][0] - i) & 1: t[c] = (i, t[c][1] + 1)
print(max(b for a, b in t.values()))
# Made By Mostafa_Khaled
```
| 7,901
|
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|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp invented a new way to encode strings. Let's assume that we have string T, consisting of lowercase English letters. Let's choose several pairs of letters of the English alphabet in such a way that each letter occurs in at most one pair. Then let's replace each letter in T with its pair letter if there is a pair letter for it. For example, if you chose pairs (l, r), (p, q) and (a, o), then word "parallelogram" according to the given encoding principle transforms to word "qolorreraglom".
Polycarpus already has two strings, S and T. He suspects that string T was obtained after applying the given encoding method from some substring of string S. Find all positions mi in S (1 ≤ mi ≤ |S| - |T| + 1), such that T can be obtained fro substring SmiSmi + 1... Smi + |T| - 1 by applying the described encoding operation by using some set of pairs of English alphabet letters
Input
The first line of the input contains two integers, |S| and |T| (1 ≤ |T| ≤ |S| ≤ 2·105) — the lengths of string S and string T, respectively.
The second and third line of the input contain strings S and T, respectively. Both strings consist only of lowercase English letters.
Output
Print number k — the number of suitable positions in string S.
In the next line print k integers m1, m2, ..., mk — the numbers of the suitable positions in the increasing order.
Examples
Input
11 5
abacabadaba
acaba
Output
3
1 3 7
Input
21 13
paraparallelogramgram
qolorreraglom
Output
1
5
Submitted Solution:
```
def kmp(s):
k = [0] * len(s)
j = 0
for i in range(1, len(s)):
j = k[i - 1]
while True:
if s[i] == s[j]:
k[i] = j + 1
break
if j == 0:
k[i] = 0
break
j = k[j - 1]
return k
def mns(s, c):
a = []
for i in range(len(s)):
if s[i] == c:
a.append(1)
else:
a.append(0)
return a
def check(pairs, alf):
for c in alf:
ind = 0
for p in pairs:
a, b = p
if a == c or b == c:
ind+=1
if ind!=1:
return False
return True
if __name__ == '__main__':
n, m = [int(e) for e in input().split()]
s = input()
s1 = input()
sets = []
for i in range(n):
sets.append(set())
alf = list(set(s+s1))
alf.sort()
for a in alf:
for b in alf:
q = mns(s, a)
q1 = mns(s1, b)
kmp_res = kmp(q1 + [-1] + q)
pos = []
for i in range(len(kmp_res)):
if kmp_res[i] == m:
sets[i - 2 * m].add((min(a,b), max(a,b)))
res = []
for i in range(n):
if check(sets[i], alf):
res.append(i)
print(len(res))
print(' '.join([str(e+1) for e in res]))
```
No
| 7,940
|
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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 task is very simple. Given a string S of length n and q queries each query is on the format i j k which means sort the substring consisting of the characters from i to j in non-decreasing order if k = 1 or in non-increasing order if k = 0.
Output the final string after applying the queries.
Input
The first line will contain two integers n, q (1 ≤ n ≤ 105, 0 ≤ q ≤ 50 000), the length of the string and the number of queries respectively.
Next line contains a string S itself. It contains only lowercase English letters.
Next q lines will contain three integers each i, j, k (1 ≤ i ≤ j ≤ n, <image>).
Output
Output one line, the string S after applying the queries.
Examples
Input
10 5
abacdabcda
7 10 0
5 8 1
1 4 0
3 6 0
7 10 1
Output
cbcaaaabdd
Input
10 1
agjucbvdfk
1 10 1
Output
abcdfgjkuv
Note
First sample test explanation:
<image>
<image>
<image>
<image>
<image>
Submitted Solution:
```
n,t=map(int,input().split())
s=input()
while(t):
t=t-1
st,end,k=map(int,input().split())
sub=s[st:end+1]
#print(sub)
l=list(sub)
#print(l)
if(k==0):
l.sort()
else:
l.sort(reverse=True)
r="".join(l)
#print(r)
res=s[0:st]+r+s[end+1:n]
print(res)
```
No
| 7,941
|
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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 task is very simple. Given a string S of length n and q queries each query is on the format i j k which means sort the substring consisting of the characters from i to j in non-decreasing order if k = 1 or in non-increasing order if k = 0.
Output the final string after applying the queries.
Input
The first line will contain two integers n, q (1 ≤ n ≤ 105, 0 ≤ q ≤ 50 000), the length of the string and the number of queries respectively.
Next line contains a string S itself. It contains only lowercase English letters.
Next q lines will contain three integers each i, j, k (1 ≤ i ≤ j ≤ n, <image>).
Output
Output one line, the string S after applying the queries.
Examples
Input
10 5
abacdabcda
7 10 0
5 8 1
1 4 0
3 6 0
7 10 1
Output
cbcaaaabdd
Input
10 1
agjucbvdfk
1 10 1
Output
abcdfgjkuv
Note
First sample test explanation:
<image>
<image>
<image>
<image>
<image>
Submitted Solution:
```
import textwrap
n,q=list(map(int,input().split()))
print(n,q)
stroka=textwrap.wrap(input(),1)
for x in range(q):
i,j,k=list(map(int,input().split()))
stroka[i-1:j]=sorted(stroka[i-1:j],reverse=abs(k-1))
print(''.join(stroka))
```
No
| 7,942
|
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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 task is very simple. Given a string S of length n and q queries each query is on the format i j k which means sort the substring consisting of the characters from i to j in non-decreasing order if k = 1 or in non-increasing order if k = 0.
Output the final string after applying the queries.
Input
The first line will contain two integers n, q (1 ≤ n ≤ 105, 0 ≤ q ≤ 50 000), the length of the string and the number of queries respectively.
Next line contains a string S itself. It contains only lowercase English letters.
Next q lines will contain three integers each i, j, k (1 ≤ i ≤ j ≤ n, <image>).
Output
Output one line, the string S after applying the queries.
Examples
Input
10 5
abacdabcda
7 10 0
5 8 1
1 4 0
3 6 0
7 10 1
Output
cbcaaaabdd
Input
10 1
agjucbvdfk
1 10 1
Output
abcdfgjkuv
Note
First sample test explanation:
<image>
<image>
<image>
<image>
<image>
Submitted Solution:
```
n, q = map(int, input().split(" "))
s = list(input())
for a in range(0, q):
i, j, k = map(int, input().split(" "))
s[i-1:j] = sorted(s[i-1:j], reverse=1-k)
print(s)
```
No
| 7,943
|
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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 task is very simple. Given a string S of length n and q queries each query is on the format i j k which means sort the substring consisting of the characters from i to j in non-decreasing order if k = 1 or in non-increasing order if k = 0.
Output the final string after applying the queries.
Input
The first line will contain two integers n, q (1 ≤ n ≤ 105, 0 ≤ q ≤ 50 000), the length of the string and the number of queries respectively.
Next line contains a string S itself. It contains only lowercase English letters.
Next q lines will contain three integers each i, j, k (1 ≤ i ≤ j ≤ n, <image>).
Output
Output one line, the string S after applying the queries.
Examples
Input
10 5
abacdabcda
7 10 0
5 8 1
1 4 0
3 6 0
7 10 1
Output
cbcaaaabdd
Input
10 1
agjucbvdfk
1 10 1
Output
abcdfgjkuv
Note
First sample test explanation:
<image>
<image>
<image>
<image>
<image>
Submitted Solution:
```
n,q=[int(x) for x in input().split()]
s=input()
L=[]
M=[]
for i in range(q):
i,j,k=[int(x) for x in input().split()]
if k==0:
try:
if i< min(L) and j in L:
s=s[:i-1]+"".join(sorted(s[i-1:min(L)-1],reverse=True))+s[min(L)-1:]
if i in M and min(L)-1 in M:
del M[i-1:min(L)-1]
L.extend(range(i,min(L)))
elif i in L and j>max(L):
s=s[:max(L)]+"".join(sorted(s[max(L):j],reverse=True))+s[j:]
if max(L)+1 in M and j in M:
del M[max(L):j]
L.extend(range(max(L)+1,j+1))
elif j not in L and i not in L:
s=s[:i-1]+"".join(sorted(s[i-1:j],reverse=True))+s[j:]
if i in M and j in M:
del M[i-1:j]
L.extend(range(i,j+1))
else:
pass
except ValueError:
s=s[:i-1]+"".join(sorted(s[i-1:j],reverse=True))+s[j:]
if i in M and j in M:
del M[i-1:j]
L.extend(range(i,j+1))
L.sort()
else:
try:
if i< min(M) and j in M:
s=s[:i-1]+"".join(sorted(s[i-1:min(M)-1]))+s[min(M)-1:]
if i in L and min(M)-1 in L:
del L[i-1:min(M)-1]
M.extend(range(i,min(M)))
elif i in L and j>max(L):
s=s[:max(L)]+"".join(sorted(s[max(M):j]))+s[j:]
if max(M)+1 in L and j in L:
del L[max(M):j]
M.extend(range(max(M)+1,j+1))
elif j not in M and i not in M:
s=s[:i-1]+"".join(sorted(s[i-1:j]))+s[j:]
if i in L and j in L:
del L[i-1:j]
M.extend(range(i,j+1))
else:
pass
except ValueError:
s=s[:i-1]+"".join(sorted(s[i-1:j]))+s[j:]
if i in L and j in L:
del L[i-1:j]
M.extend(range(i,j+1))
M.sort()
print(s)
```
No
| 7,944
|
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] | 0
|
Provide tags and a correct Python 3 solution for this coding contest problem.
Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.
More formally, you are given two strings s1, s2 of length n and number t. Let's denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print - 1.
Input
The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).
The second line contains string s1 of length n, consisting of lowercase English letters.
The third line contain string s2 of length n, consisting of lowercase English letters.
Output
Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn't exist, print -1.
Examples
Input
3 2
abc
xyc
Output
ayd
Input
1 0
c
b
Output
-1
Tags: constructive algorithms, greedy, strings
Correct Solution:
```
n, k = map(int, input().split())
a = input()
b = input()
cnt = 0
for i in range(n):
if (a[i] == b[i]):
cnt += 1
dif = n - cnt
ok = n - (cnt + dif // 2)
if (k < ok):
print(-1)
else:
res, cur, req, i, nxt = {}, 0, n - k, 0, True
while (cur < req):
if (a[i] == b[i]):
res[i], cur = a[i], cur + 1
elif (nxt):
pos, nxt = i, not nxt
else:
res[pos], res[i], nxt, cur = a[pos], b[i], not nxt, cur + 1
i += 1
if (nxt == False):
if (('a' != a[pos]) and ('a' != b[pos])):
res[pos] = 'a'
elif (('b' != a[pos]) and ('b' != b[pos])):
res[pos] = 'b'
elif (('c' != a[pos]) and ('c' != b[pos])):
res[pos] = 'c'
else:
res[pos] = 'd'
while (i < n):
if (('a' != a[i]) and ('a' != b[i])):
res[i] = 'a'
elif (('b' != a[i]) and ('b' != b[i])):
res[i] = 'b'
elif (('c' != a[i]) and ('c' != b[i])):
res[i] = 'c'
else:
res[i] = 'd'
i += 1
for i in range(n):
print(res[i], end = '')
```
| 7,945
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.
More formally, you are given two strings s1, s2 of length n and number t. Let's denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print - 1.
Input
The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).
The second line contains string s1 of length n, consisting of lowercase English letters.
The third line contain string s2 of length n, consisting of lowercase English letters.
Output
Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn't exist, print -1.
Examples
Input
3 2
abc
xyc
Output
ayd
Input
1 0
c
b
Output
-1
Tags: constructive algorithms, greedy, strings
Correct Solution:
```
n, t = map(int, input().split())
s1 = input()
s2 = input()
same = n - t
ans = ["" for i in range(n)]
for i in range(n):
if(same==0):
break
if s1[i] == s2[i]:
same -= 1
ans[i] = s1[i]
same1 = same2 = same
for i in range(n):
if(ans[i]!=""):
continue
if same1 != 0 and same1>=same2:
ans[i] = s1[i]
same1 -= 1
elif same2 != 0 and same2>=same1:
ans[i] = s2[i]
same2 -= 1
elif same1 == 0 and same2 == 0:
if s1[i] != 'a' and s2[i] != 'a':
ans[i] = 'a'
elif s1[i] != 'b' and s2[i] != 'b':
ans[i] = 'b'
elif s1[i] != 'c' and s2[i] != 'c':
ans[i] = 'c'
if same1 > 0 or same2 > 0:
print(-1)
else:
print("".join(ans))
```
| 7,946
|
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.
More formally, you are given two strings s1, s2 of length n and number t. Let's denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print - 1.
Input
The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).
The second line contains string s1 of length n, consisting of lowercase English letters.
The third line contain string s2 of length n, consisting of lowercase English letters.
Output
Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn't exist, print -1.
Examples
Input
3 2
abc
xyc
Output
ayd
Input
1 0
c
b
Output
-1
Tags: constructive algorithms, greedy, strings
Correct Solution:
```
n,k=map(int,input().split())
a=input()
b=input()
c=[]
ans=0
for i in range(n):
if a[i]==b[i]:
ans+=1
si=n-k
d=['a','b','c']
if ans>=si:
for i in range(n):
if a[i]==b[i] and si>0:
c.append(a[i])
si-=1
else:
ee=[a[i],b[i]]
if 'a' not in ee:
c.append('a')
elif 'c' not in ee:
c.append('c')
else:
c.append('b')
print(''.join(c))
else:
re1=si-ans
re2=si-ans
for i in range(n):
if a[i]==b[i] :
c.append(a[i])
else:
if re1>0:
c.append(a[i])
re1-=1
elif re2>0:
c.append(b[i])
re2-=1
else:
ee=[a[i],b[i]]
if 'a' not in ee:
c.append('a')
elif 'c' not in ee:
c.append('c')
else:
c.append('b')
#print(re1,re2)
if re1+re2==0:
print(''.join(c))
else:
print(-1)
```
| 7,947
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|
Provide tags and a correct Python 3 solution for this coding contest problem.
Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.
More formally, you are given two strings s1, s2 of length n and number t. Let's denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print - 1.
Input
The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).
The second line contains string s1 of length n, consisting of lowercase English letters.
The third line contain string s2 of length n, consisting of lowercase English letters.
Output
Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn't exist, print -1.
Examples
Input
3 2
abc
xyc
Output
ayd
Input
1 0
c
b
Output
-1
Tags: constructive algorithms, greedy, strings
Correct Solution:
```
from sys import exit
def cdiff(c1, c2):
ch = 'a'
while ch in (c1, c2):
ch = chr(ord(ch) + 1)
return ch
n, t = map(int, input().split())
a = input()
b = input()
ra = 0
rb = 0
c = [-1] * n
for i in range(n):
c[i] = (a[i], b[i])[(ra + rb) % 2]
ra += c[i] != a[i]
rb += c[i] != b[i]
if rb < ra:
ra, rb = rb, ra
a, b = b, a
if ra < rb:
for i in range(n):
if c[i] != b[i] and c[i] == a[i]:
c[i] = cdiff(a[i], b[i])
ra += 1
break
if ra < rb:
print(-1)
exit(0)
if t < ra:
print(-1)
exit(0)
i = 0
lst = -1
while ra < t and i < n:
if a[i] == b[i]:
c[i] = cdiff(a[i], b[i])
ra += 1
rb += 1
elif c[i] not in (a[i], b[i]):
pass
elif lst == -1:
lst = i
else:
c[lst] = cdiff(a[lst], b[lst])
c[i] = cdiff(a[i], b[i])
lst = -1
ra += 1
rb += 1
i += 1
if ra != t:
print(-1)
exit(0)
print(*c, sep='')
```
| 7,948
|
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