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Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
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11,142
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22,284
Tags: greedy, strings Correct Solution: ``` n, p = map(int, input().split()) t, q = input(), 'NO' if p == 2: if t == 'a': q = 'b' elif t == 'ab': q = 'ba' elif p > 2: t = [ord(c) - 97 for c in t] + [27, 27] for k in range(n - 1, -1, -1): for i in range(t[k] + 1, p): if i - t[k - 1] and i - t[k - 2]: t[k] = i a, b = min(t[k - 1], 2), min(t[k], 2) if a == b: a = 1 t = t[: k + 1] + [3 - a - b, a, b] * (n // 3 + 1) print(''.join(chr(t[i] + 97) for i in range(n))) exit(0) print(q) ```
output
1
11,142
0
22,285
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,143
0
22,286
Tags: greedy, strings Correct Solution: ``` import sys n, p = map(int, input().split()) s = input() a = [(ord(s[i]) - ord('a') + 1) for i in range(n)] curr = len(s) - 1 a += [p + 1, p + 1] f = 0 def valid(x): global f if x == -1: return False if not (a[x] + 1 in (a[x - 1], a[x - 2])) and a[x] + 1 <= p: a[x] += 1 elif not (a[x] + 2 in (a[x - 1], a[x - 2])) and a[x] + 2 <= p: a[x] += 2 elif not (a[x] + 3 in (a[x - 1], a[x - 2])) and a[x] + 3 <= p: a[x] += 3 else: return True print(s[:x], end = '') print(chr(a[x] + ord('a') - 1), end = '') tmp = 1 ind = x while tmp in (a[x], a[x - 1]): tmp += 1 for i in range(x + 1, len(s)): print(chr(tmp + ord('a') - 1), end = '') a[i] = tmp tmp = 1 while tmp in (a[i], a[i - 1]): tmp += 1 f = 1 return False while valid(curr): curr -= 1 if f == 1: sys.exit() print('NO') ```
output
1
11,143
0
22,287
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,144
0
22,288
Tags: greedy, strings Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * # from fractions import * # from heapq import* from bisect 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") ALPHA='abcdefghijklmnopqrstuvwxyz/' M=10**9+7 EPS=1e-6 def Ceil(a,b): return a//b+int(a%b>0) 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() n,p=value() s=list(input())[::-1] s[0]=ALPHA[ALPHA.index(s[0])+1] i=0 while(i>=0 and i<n): cur=ALPHA.index(s[i]) if(cur>=p): s[i]='a' i+=1 if(i<n): s[i]=ALPHA[ALPHA.index(s[i])+1] else: if(i+1<n and s[i+1]==s[i]): s[i]=ALPHA[ALPHA.index(s[i])+1] elif(i+2<n and s[i+2]==s[i]): s[i]=ALPHA[ALPHA.index(s[i])+1] else: i-=1 s=s[::-1] if(s==['a']*n): print("NO") else: print(*s,sep="") ```
output
1
11,144
0
22,289
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,145
0
22,290
Tags: greedy, strings Correct Solution: ``` n,p=map(int,input().split()) s=list(map(ord,input())) index=n-1 s[n-1]+=1 p+=97 while(index>=0 and index<n): if(s[index]>=p): s[index]=97 index-=1 s[index]+=1 elif (index!=0 and s[index]==s[index-1]): s[index]+=1 elif(index>1 and s[index]==s[index-2]): s[index]+=1 else: index+=1 if(index<0): print("NO") else: for i in s: print(chr(i), end="") ```
output
1
11,145
0
22,291
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,146
0
22,292
Tags: greedy, strings Correct Solution: ``` #!/usr/bin/env python # coding: utf-8 # In[11]: n,p=map(int,input().split()) s=list(map(ord,input())) i=n-1 s[i]+=1 p+=97 while ~i and i<n: if s[i]==p: s[i]=97 i-=1 s[i]+=1 elif i and s[i]==s[i-1]: s[i]+=1 elif i>1 and s[i]==s[i-2]: s[i]+=1 else: i+=1 if i<0: print('NO') else: #print('Yes') for i in s: print(chr(i),end='') ```
output
1
11,146
0
22,293
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,147
0
22,294
Tags: greedy, strings Correct Solution: ``` n, p = map(int, input().split()) t = [ord(c) - 97 for c in input()] + [27, 27] for k in range(n - 1, -1, -1): for i in range(t[k] + 1, p): if i - t[k - 1] and i - t[k - 2]: a, b = min(t[k - 1], 2), min(i, 2) if a == b: a = 1 t = t[: k] + [i] + [3 - a - b, a, b] * (n // 3 + 1) print(''.join(chr(i + 97) for i in t)[: n]) exit(0) print('NO') ```
output
1
11,147
0
22,295
Provide tags and a correct Python 3 solution for this coding contest problem. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed.
instruction
0
11,148
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22,296
Tags: greedy, strings Correct Solution: ``` import sys import math as mt import bisect #input=sys.stdin.buffer.readline #t=int(input()) t=1 for __ in range(t): #s=input() #n=int(input()) n,p=map(int,input().split()) #l=list(map(int,input().split())) up=chr(p+96) s=input() ind=-1 for i in range(len(s)-1,-1,-1): if i>=2: for j in range(26): if chr(97+j)>s[i] and chr(97+j)<=up and chr(97+j)!=s[i-1] and chr(97+j)!=s[i-2]: ind=i ch=chr(97+j) break elif i==1: for j in range(26): if chr(97+j)>s[i] and chr(97+j)<=up and chr(97+j)!=s[i-1] : ind=i ch=chr(97+j) break else: for j in range(26): if chr(97+j)>s[i] and chr(97+j)<=up: ind=i ch=chr(97+j) #ch1='stop' break if ind!=-1: break if ind==-1: print("NO") else: s1=s[:ind] s1+=ch falg=True #print(111,ch) for j in range(ind+1,len(s)): ch2=0 for j1 in range(26): if len(s1)<=1: if chr(j1+97)!=s1[-1] and chr(j1+97)<=up: s1+=chr(j1+97) ch2=1 break else: if chr(j1+97)!=s1[-1] and chr(j1+97)!=s1[-2] and chr(j1+97)<=up: ch2=1 s1+=chr(j1+97) break if ch2==1: break if ch2==0: falg=False if falg==True: print(s1) else: print("NO") ```
output
1
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22,297
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` def clean(n,w,i): for j in range(i+1,n): if 0 not in [w[j-1],w[j-2]]: w[j] = 0 elif 1 not in [w[j-1],w[j-2]]: w[j] = 1 else: w[j] = 2 return ''.join([chr(ord('a')+x) for x in w]) def solve(): n, p = map(int, input().split()) w = [ord(c)-ord('a') for c in input()] if p==1: return 'NO' elif p==2: if n==1 and w[0]==0: return 'b' elif n==2 and w[0]==0: return 'ba' else: return 'NO' elif n==1: if w[0]==p-1: return 'NO' else: return chr(ord('a')+w[0]+1) for i in range(n-1,1,-1): for k in range(1,3+1): if w[i]+k not in [w[i-1],w[i-2]] and w[i]+k < p: w[i] += k return clean(n,w,i) for k in range(1,2+1): if w[1]+k not in [w[0]] and w[1]+k < p: w[1] += k return clean(n,w,1) if w[0]+1 < p: w[0] += 1 w[1] = 0 return clean(n,w,1) return 'NO' print(solve()) ```
instruction
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11,149
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Yes
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1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` def trans(c): return chr(ord(c) + 1) n, p = list(map(int, input().split())) s = list(input()) s[n-1] = trans(s[n-1]) i = n - 1 while i >= 0 and i < n: if ord(s[i]) >= ord('a') + p: s[i] = 'a' i -= 1 s[i] = trans(s[i]) elif i > 0 and s[i] == s[i-1] or i > 1 and s[i] == s[i-2]: s[i] = trans(s[i]) else: i += 1 else: print("NO" if i < 0 else "".join(s)) # Made By Mostafa_Khaled ```
instruction
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Yes
output
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. 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 n, p = list(map(int, input().split())) s = list(input()) s[n-1] = chr(ord(s[n-1]) + 1) i = n - 1 while i >= 0 and i < n: if ord(s[i]) >= ord('a') + p: s[i] = 'a' i -= 1 s[i] = chr(ord(s[i]) + 1) elif i > 0 and s[i] == s[i-1] or i > 1 and s[i] == s[i-2]: s[i] = chr(ord(s[i]) + 1) else: i += 1 print("NO" if i < 0 else "".join(s)) endtime = time.time() # print(f"Runtime of the program is {endtime - starttime}") ```
instruction
0
11,151
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Yes
output
1
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` def palin(a): a = a-1 m = len(c)-1 if(a>=0): if(c[a] == c[a+2]): return 1 return 0; def inc(i): if(len(c)==1): if(ord(c[i]) - 96 == b): print("NO"); exit() else: c[i] = chr(ord(c[i])+1) return 0; if(ord(c[i]) - 96 == b): c[i] = 'a' if(i == 1): if(c[0] == chr(96+b)): print("NO") exit() inc(i-1) if(c[i] == c[i-1] or palin(i-1)): inc(i); else: c[i] = chr(ord(c[i])+1) if(c[i] == c[i-1] or palin(i-1)): inc(i) a,b = map(int,input().split(" ")) c = list(input()) e = 1 i = a-1 inc(i) print(''.join(c)) ```
instruction
0
11,152
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22,304
Yes
output
1
11,152
0
22,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` def main(): def f(s, n, p): if n == 2 and s[0] == s[1]: return False for i in range(0, n - 1): if ord(s[i]) - ord('a') >= p: return False if s[i] == s[i + 1]: return False for i in range(0, n - 2): if s[i] == s[i + 2]: return False return True (n, p) = map(int, input().split(' ')) s = list(input()) if n == 1: if ord(s[0]) - ord('a') >= p: return "NO" else: return chr(ord(s[0]) + 1) i = n - 1 while True: if i < 1: break s[i] = chr(ord(s[i]) + 1) if (ord(s[i]) - ord('a')) >= p: s[i] = 'a' m = True i -= 1 s[i] = chr(ord(s[i]) + 1) #print(' '.join(s), i, n) if s[i] != s[i - 1]: if i >= 2 and s[i - 2] != s[i]: break if f(s, n, p): return ''.join(s) return "NO" print(main()) ```
instruction
0
11,153
0
22,306
No
output
1
11,153
0
22,307
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` n, p = map(int, input().split()) t = input() s = [chr(97 + i) for i in range(p)] def f1(t): i = s.index(t) if i < p - 1: return s[i + 1] return 'NO' def f2(t): x, y = t for a in s: if a < x: continue for b in s: if b == a or (a == x and b <= y): continue return a + b return 'NO' def f3(t): t = '..' + t x, y, z = t[n - 1: ] u, v = t[-4], t[-5] for a in s: if a == u or a == v or a < x: continue for b in s: if b == a or b == v or (a == x and b < y): continue for c in s: if c == b or c == a or (a == x and b == y and c <= z): continue return t[2: n - 1] + a + b + c return 'NO' if n == 1: print(f1(t)) elif n == 2: print(f2(t)) else: print(f3(t)) ```
instruction
0
11,154
0
22,308
No
output
1
11,154
0
22,309
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` def is_tolerable(s): n = len(s) t1, t2 = -1, -1 tolerable = 1 for i in range(n - 1, 0, -1): if s[i] == s[i - 1]: t1 = i break for i in range(n - 2, 0, -1): if s[i + 1] == s[i - 1]: t2 = i + 1 break tolerable = max(t1, t2) return tolerable def increment_string(s, m, i): j = i flag = 0 while flag == 0 and j >= 0: flag = 1 x = ord(s[j]) % ord('a') y = ord(m) % ord('a') + 1 z = (x + 1) % y t = z + ord('a') li = list(s) li[j] = chr(t) s = "".join(li) if z == 0: flag = 0 j -= 1 if j == -1: s = "NO" return s n, p = list(map(int, input().split())) s = input() m = ord('a') + p - 1 ans = s flag = 0 i = n - 1 while flag == 0: flag = 1 ans = increment_string(ans, chr(m), i) if ans == "NO": break t = is_tolerable(ans) if t != -1: flag = 0 i = t print(ans) ```
instruction
0
11,155
0
22,310
No
output
1
11,155
0
22,311
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Paul hates palindromes. He assumes that string s is tolerable if each its character is one of the first p letters of the English alphabet and s doesn't contain any palindrome contiguous substring of length 2 or more. Paul has found a tolerable string s of length n. Help him find the lexicographically next tolerable string of the same length or else state that such string does not exist. Input The first line contains two space-separated integers: n and p (1 ≀ n ≀ 1000; 1 ≀ p ≀ 26). The second line contains string s, consisting of n small English letters. It is guaranteed that the string is tolerable (according to the above definition). Output If the lexicographically next tolerable string of the same length exists, print it. Otherwise, print "NO" (without the quotes). Examples Input 3 3 cba Output NO Input 3 4 cba Output cbd Input 4 4 abcd Output abda Note String s is lexicographically larger (or simply larger) than string t with the same length, if there is number i, such that s1 = t1, ..., si = ti, si + 1 > ti + 1. The lexicographically next tolerable string is the lexicographically minimum tolerable string which is larger than the given one. A palindrome is a string that reads the same forward or reversed. Submitted Solution: ``` n, p = map(int, input().split()) r = list(reversed(list(map(lambda c: ord(c) - ord("a"), list(input()))))) def checker(lst, pos): l = lst[max(0, pos - 2):pos + 3] for i in range(len(l) - 1): if l[i] == l[i+1]: return False for i in range(len(l) - 2): if l[i] == l[i+2]: return False return True result = "NO" while 1: flag = True changed = [] for i in range(len(r)): if flag: r[i] += 1 changed.append(i) if r[i] == p: r[i] = 0 flag = True else: flag = False if flag: break # print(r, changed) if all((checker(r, i) for i in changed)): result = "".join(list(map(lambda x: chr(x + ord("a")), reversed(r)))) break print(result) ```
instruction
0
11,156
0
22,312
No
output
1
11,156
0
22,313
Provide tags and a correct Python 3 solution for this coding contest problem. Genos recently installed the game Zuma on his phone. In Zuma there exists a line of n gemstones, the i-th of which has color ci. The goal of the game is to destroy all the gemstones in the line as quickly as possible. In one second, Genos is able to choose exactly one continuous substring of colored gemstones that is a palindrome and remove it from the line. After the substring is removed, the remaining gemstones shift to form a solid line again. What is the minimum number of seconds needed to destroy the entire line? Let us remind, that the string (or substring) is called palindrome, if it reads same backwards or forward. In our case this means the color of the first gemstone is equal to the color of the last one, the color of the second gemstone is equal to the color of the next to last and so on. Input The first line of input contains a single integer n (1 ≀ n ≀ 500) β€” the number of gemstones. The second line contains n space-separated integers, the i-th of which is ci (1 ≀ ci ≀ n) β€” the color of the i-th gemstone in a line. Output Print a single integer β€” the minimum number of seconds needed to destroy the entire line. Examples Input 3 1 2 1 Output 1 Input 3 1 2 3 Output 3 Input 7 1 4 4 2 3 2 1 Output 2 Note In the first sample, Genos can destroy the entire line in one second. In the second sample, Genos can only destroy one gemstone at a time, so destroying three gemstones takes three seconds. In the third sample, to achieve the optimal time of two seconds, destroy palindrome 4 4 first and then destroy palindrome 1 2 3 2 1.
instruction
0
11,210
0
22,420
Tags: dp Correct Solution: ``` from sys import stdin,stdout for _ in range(1):#(stdin.readline())): n=int(stdin.readline()) # n,m=list(map(int,stdin.readline().split())) a=list(map(int,stdin.readline().split())) dp=[[0 for _ in range(n)] for _ in range(n)] for sz in range(n): for i in range(n-sz): j=i+sz # print(i,j) if sz==0:dp[i][j]=1 elif sz==1:dp[i][j]=1+int(a[i]!=a[j]) else: v=n if a[i]==a[j]:v=dp[i+1][j-1] for k in range(i,j): v=min(v,dp[i][k]+dp[k+1][j]) dp[i][j]=v # print(*dp,sep='\n') print(dp[0][n-1]) ```
output
1
11,210
0
22,421
Provide tags and a correct Python 3 solution for this coding contest problem. Genos recently installed the game Zuma on his phone. In Zuma there exists a line of n gemstones, the i-th of which has color ci. The goal of the game is to destroy all the gemstones in the line as quickly as possible. In one second, Genos is able to choose exactly one continuous substring of colored gemstones that is a palindrome and remove it from the line. After the substring is removed, the remaining gemstones shift to form a solid line again. What is the minimum number of seconds needed to destroy the entire line? Let us remind, that the string (or substring) is called palindrome, if it reads same backwards or forward. In our case this means the color of the first gemstone is equal to the color of the last one, the color of the second gemstone is equal to the color of the next to last and so on. Input The first line of input contains a single integer n (1 ≀ n ≀ 500) β€” the number of gemstones. The second line contains n space-separated integers, the i-th of which is ci (1 ≀ ci ≀ n) β€” the color of the i-th gemstone in a line. Output Print a single integer β€” the minimum number of seconds needed to destroy the entire line. Examples Input 3 1 2 1 Output 1 Input 3 1 2 3 Output 3 Input 7 1 4 4 2 3 2 1 Output 2 Note In the first sample, Genos can destroy the entire line in one second. In the second sample, Genos can only destroy one gemstone at a time, so destroying three gemstones takes three seconds. In the third sample, to achieve the optimal time of two seconds, destroy palindrome 4 4 first and then destroy palindrome 1 2 3 2 1.
instruction
0
11,212
0
22,424
Tags: dp Correct Solution: ``` dp = [[-1 for i in range(505)] for j in range(505)] n = int(input()) A = [int(i) for i in input().split()] def do(i, j): #print('At',i , j) if i>=j: dp[i][j] = 1 return 1 if dp[i][j] != -1: return dp[i][j] ans = len(A) if A[i] == A[j]: ans = min(ans, do(i+1, j-1)) for x in range(i, j): left = do(i, x) right = do(x+1, j) ans = min(ans, left+right) dp[i][j] = ans return ans if len(set(A)) == n: print(n) else: print(do(0, n-1)) ```
output
1
11,212
0
22,425
Provide tags and a correct Python 2 solution for this coding contest problem. Genos recently installed the game Zuma on his phone. In Zuma there exists a line of n gemstones, the i-th of which has color ci. The goal of the game is to destroy all the gemstones in the line as quickly as possible. In one second, Genos is able to choose exactly one continuous substring of colored gemstones that is a palindrome and remove it from the line. After the substring is removed, the remaining gemstones shift to form a solid line again. What is the minimum number of seconds needed to destroy the entire line? Let us remind, that the string (or substring) is called palindrome, if it reads same backwards or forward. In our case this means the color of the first gemstone is equal to the color of the last one, the color of the second gemstone is equal to the color of the next to last and so on. Input The first line of input contains a single integer n (1 ≀ n ≀ 500) β€” the number of gemstones. The second line contains n space-separated integers, the i-th of which is ci (1 ≀ ci ≀ n) β€” the color of the i-th gemstone in a line. Output Print a single integer β€” the minimum number of seconds needed to destroy the entire line. Examples Input 3 1 2 1 Output 1 Input 3 1 2 3 Output 3 Input 7 1 4 4 2 3 2 1 Output 2 Note In the first sample, Genos can destroy the entire line in one second. In the second sample, Genos can only destroy one gemstone at a time, so destroying three gemstones takes three seconds. In the third sample, to achieve the optimal time of two seconds, destroy palindrome 4 4 first and then destroy palindrome 1 2 3 2 1.
instruction
0
11,213
0
22,426
Tags: dp Correct Solution: ``` from sys import stdin, stdout from collections import Counter, defaultdict from itertools import permutations, combinations raw_input = stdin.readline pr = stdout.write def in_num(): return int(raw_input()) def in_arr(): return map(int,raw_input().split()) def pr_num(n): stdout.write(str(n)+'\n') def pr_arr(arr): pr(' '.join(map(str,arr))+'\n') # fast read function for total integer input def inp(): # this function returns whole input of # space/line seperated integers # Use Ctrl+D to flush stdin. return map(int,stdin.read().split()) range = xrange # not for python 3.0+ # main code n=in_num() l=in_arr() dp=[[1 for i in range(n)] for j in range(n)] for ln in range(1,n): for i in range(n-ln): dp[i][i+ln]=min(dp[i][j]+dp[j+1][i+ln] for j in range(i,i+ln)) if l[i]==l[i+ln]: dp[i][i+ln]=min(dp[i][i+ln],dp[i+1][i+ln-1]) pr_num(dp[0][-1]) ```
output
1
11,213
0
22,427
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,392
0
22,784
"Correct Solution: ``` s=input() t=input() tl=len(t) m=0 for i in range(len(s)-tl+1): c=0 for x,y in zip(t,s[i:i+tl]): if x==y: c+=1 m=max(m,c) print(tl-m) ```
output
1
11,392
0
22,785
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,393
0
22,786
"Correct Solution: ``` s=input() t=input() k=len(t) for i in range(len(s)-len(t)+1): p=0 for j in range(len(t)): if s[i+j]!=t[j]: p+=1 if k>p: k=p print(k) ```
output
1
11,393
0
22,787
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,394
0
22,788
"Correct Solution: ``` s=input() t=input() a=0 for i in range(len(s)-len(t)+1): c=0 for j,d in enumerate(t): if s[i+j]==d: c+=1 a=max(a,c) print(len(t)-a) ```
output
1
11,394
0
22,789
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,395
0
22,790
"Correct Solution: ``` S=input() T=input() r=1000 for i in range(len(S)-len(T)+1): r=min(r,sum([S[i+j]!=T[j] for j in range(len(T))])) print(r) ```
output
1
11,395
0
22,791
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,396
0
22,792
"Correct Solution: ``` s = input() t = input() n, m = len(s), len(t) print(min(sum(si != ti for si, ti in zip(s[i: i+m], t)) for i in range(n-m+1))) ```
output
1
11,396
0
22,793
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,397
0
22,794
"Correct Solution: ``` S, T = input(), input() best = len(T) for i in range(len(S)-len(T)+1): best = min(best, sum(S[i+j] != c for j, c in enumerate(T))) print(best) ```
output
1
11,397
0
22,795
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,398
0
22,796
"Correct Solution: ``` s=input() t=input() l=len(s) l2=len(t) ans=1000000 for i in range(l-l2+1): curr=0 for j in range(i,i+l2): if(s[j]!=t[j-i]): curr+=1 if(curr<ans): ans=curr print(ans) ```
output
1
11,398
0
22,797
Provide a correct Python 3 solution for this coding contest problem. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6
instruction
0
11,399
0
22,798
"Correct Solution: ``` s = input() t = input() S,T = len(s),len(t) ans = T for i in range(S-T+1): tmp = [c1!=c2 for c1,c2 in zip(s[i:i+T],t)].count(True) ans = min(ans,tmp) print(ans) ```
output
1
11,399
0
22,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` s=input() t=input() lt=len(t) x=lt for i in range(len(s)-lt+1): a=0 for j in range(lt): if s[i+j]!=t[j]: a+=1 x=min(x,a) print(x) ```
instruction
0
11,400
0
22,800
Yes
output
1
11,400
0
22,801
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` S = input() T = input() print(min([sum(map(lambda x:x[0]!=x[1], zip(S[i:i+len(T)],T))) for i in range(1+len(S)-len(T))])) ```
instruction
0
11,401
0
22,802
Yes
output
1
11,401
0
22,803
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` S,T=input(),input() res=n=len(T) m=len(S) for i in range(m-n+1): c = 0 for k in range(n): if S[i+k]!=T[k]: c+=1 res=min(res,c) print(res) ```
instruction
0
11,402
0
22,804
Yes
output
1
11,402
0
22,805
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` s=input() t=input() ans=10**7 for i in range(len(s)-len(t)+1): ansi=0 for j in range(len(t)): if s[i+j]!=t[j]: ansi+=1 ans=min(ans,ansi) print(ans) ```
instruction
0
11,403
0
22,806
Yes
output
1
11,403
0
22,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` s = input() t = input() ls = len(s) lt = len(t) a = [] sum_ = 0 for i in range(ls-lt+1): ss = s[i:i+lt] sum_ = 0 for i, alb in enumerate(lt): if alb == ss[i]: sum_+= 1 a.append(sum_) print(lt - max(a)) ```
instruction
0
11,404
0
22,808
No
output
1
11,404
0
22,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` S = input() T = input() min_count = len(T) for s_i in range(len(S)): i = s_i matched = 0 for j in range(len(T)): i += 1 if len(S) <= i: # Out of S matched = 0 # Cannot append characters to S break if S[i] == T[j]: matched += 1 count = len(T) - matched if count < min_count: min_count = count print(min_count) ```
instruction
0
11,405
0
22,810
No
output
1
11,405
0
22,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` s=list(input()) t=list(input()) n=len(t) m=len(s) for i in range(n): l=n-i for j in range(i+1): if ''.join(t[j:j+l]) in ''.join(s[j:j+m-i]): print(i) exit() print(n) ```
instruction
0
11,406
0
22,812
No
output
1
11,406
0
22,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are two strings S and T. Let us change some of the characters in S so that T will be a substring of S. At least how many characters do we need to change? Here, a substring is a consecutive subsequence. For example, `xxx` is a substring of `yxxxy`, but not a substring of `xxyxx`. Constraints * The lengths of S and T are each at least 1 and at most 1000. * The length of T is at most that of S. * S and T consist of lowercase English letters. Input Input is given from Standard Input in the following format: S T Output Print the minimum number of characters in S that need to be changed. Examples Input cabacc abc Output 1 Input codeforces atcoder Output 6 Submitted Solution: ``` S = input() T = input() ans = len(T) for i in range(len(S)): for s,t in zip(S[i:i+len(T)],T): tmp = len(T) if t == s: tmp -= 1 ans = min(ans,tmp) else: print(ans) ```
instruction
0
11,407
0
22,814
No
output
1
11,407
0
22,815
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,714
0
23,428
Tags: games, greedy, strings Correct Solution: ``` s = input() a = [-1] * len(s) menor = 'z' #preprocessar for i,v in enumerate(s): if menor < v: a[i] = 1 else: menor = v for k in range(len(s)): if k == 0: print('Mike') elif a[k] == 1: print('Ann') else: print('Mike') ```
output
1
11,714
0
23,429
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,715
0
23,430
Tags: games, greedy, strings Correct Solution: ``` import math t = input() s = set() for i in t: res = False for n in s: if ord(n) < ord(i): res = True break s.add(i) if res: print('Ann') else: print('Mike') ```
output
1
11,715
0
23,431
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,716
0
23,432
Tags: games, greedy, strings Correct Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # ------------------- fast io -------------------- vals=[ord(k)-97 for k in input()] minsofar=28 ans=[] for s in range(len(vals)): if vals[s]<minsofar: minsofar=vals[s] if vals[s]>minsofar: ans.append("Ann") else: ans.append("Mike") print("\n".join(ans)) ```
output
1
11,716
0
23,433
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,717
0
23,434
Tags: games, greedy, strings Correct Solution: ``` #code s=list(input()) n=len(s) minn=ord(s[0]) print("Mike") arr=[] for i in range(1,n): if minn<ord(s[i]): print("Ann") else: minn=ord(s[i]) print("Mike") ```
output
1
11,717
0
23,435
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,718
0
23,436
Tags: games, greedy, strings Correct Solution: ``` s = input() min_val = 9999 for c in s: if min_val < ord(c): print('Ann') else: print('Mike') min_val = min(min_val, ord(c)) ```
output
1
11,718
0
23,437
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,719
0
23,438
Tags: games, greedy, strings Correct Solution: ``` def main(): s = input() max_k = len(s) min_upto = [] min_letter = "z" for i, letter in enumerate(s): min_letter = min(min_letter, s[i]) min_upto.append(min_letter) min_letter = min_upto[max_k-1] for i in range(max_k): if s[i] == min_letter or i == 0: print("Mike") else: if min_upto[i-1] < s[i]: print("Ann") else: print("Mike") if __name__ == "__main__": main() ```
output
1
11,719
0
23,439
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,720
0
23,440
Tags: games, greedy, strings Correct Solution: ``` s=input();n=len(s);dp=[0]*(500002) dp[0]=s[0] for i in range(1,n): dp[i]=min(dp[i-1],s[i]) for i in range(n): if dp[i]<s[i]:print("Ann") else:print("Mike") ```
output
1
11,720
0
23,441
Provide tags and a correct Python 3 solution for this coding contest problem. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike
instruction
0
11,721
0
23,442
Tags: games, greedy, strings Correct Solution: ``` s = input() alph = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z'] d = {} for l in alph: try: d[l] = s.index(l) except Exception: d[l] = len(s) m = len(s) k = {} for i in range(len(alph)): k[alph[i]] = m m = min(m, d[alph[i]]) for i in range(len(s)): if (k[s[i]]<i): print('Ann') else: print('Mike') ```
output
1
11,721
0
23,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` ''' CODED WITH LOVE BY SATYAM KUMAR ''' from sys import stdin, stdout import heapq import cProfile, math from collections import Counter, defaultdict, deque from bisect import bisect_left, bisect, bisect_right import itertools from copy import deepcopy from fractions import Fraction import sys, threading import operator as op from functools import reduce import sys sys.setrecursionlimit(10 ** 6) # max depth of recursion threading.stack_size(2 ** 27) # new thread will get stack of such size fac_warm_up = False printHeap = str() memory_constrained = False P = 10 ** 9 + 7 class MergeFind: def __init__(self, n): self.parent = list(range(n)) self.size = [1] * n self.num_sets = n self.lista = [[_] for _ in range(n)] def find(self, a): to_update = [] while a != self.parent[a]: to_update.append(a) a = self.parent[a] for b in to_update: self.parent[b] = a return self.parent[a] def merge(self, a, b): a = self.find(a) b = self.find(b) if a == b: return if self.size[a] < self.size[b]: a, b = b, a self.num_sets -= 1 self.parent[b] = a self.size[a] += self.size[b] self.lista[a] += self.lista[b] def set_size(self, a): return self.size[self.find(a)] def __len__(self): return self.num_sets def display(string_to_print): stdout.write(str(string_to_print) + "\n") def prime_factors(n): # n**0.5 complex factors = dict() for i in range(2, math.ceil(math.sqrt(n)) + 1): while n % i == 0: if i in factors: factors[i] += 1 else: factors[i] = 1 n = n // i if n > 2: factors[n] = 1 return (factors) def all_factors(n): return set(reduce(list.__add__, ([i, n // i] for i in range(1, int(n ** 0.5) + 1) if n % i == 0))) def fibonacci_modP(n, MOD): if n < 2: return 1 return (cached_fn(fibonacci_modP, (n + 1) // 2, MOD) * cached_fn(fibonacci_modP, n // 2, MOD) + cached_fn( fibonacci_modP, (n - 1) // 2, MOD) * cached_fn(fibonacci_modP, (n - 2) // 2, MOD)) % MOD def factorial_modP_Wilson(n, p): if (p <= n): return 0 res = (p - 1) for i in range(n + 1, p): res = (res * cached_fn(InverseEuler, i, p)) % p return res def binary(n, digits=20): b = bin(n)[2:] b = '0' * (digits - len(b)) + b return b def is_prime(n): """Returns True if n is prime.""" if n < 4: return True if n % 2 == 0: return False if n % 3 == 0: return False i = 5 w = 2 while i * i <= n: if n % i == 0: return False i += w w = 6 - w return True def generate_primes(n): prime = [True for i in range(n + 1)] p = 2 while p * p <= n: if prime[p]: for i in range(p * 2, n + 1, p): prime[i] = False p += 1 return prime factorial_modP = [] def warm_up_fac(MOD): global factorial_modP, fac_warm_up if fac_warm_up: return factorial_modP = [1 for _ in range(fac_warm_up_size + 1)] for i in range(2, fac_warm_up_size): factorial_modP[i] = (factorial_modP[i - 1] * i) % MOD fac_warm_up = True def InverseEuler(n, MOD): return pow(n, MOD - 2, MOD) def nCr(n, r, MOD): global fac_warm_up, factorial_modP if not fac_warm_up: warm_up_fac(MOD) fac_warm_up = True return (factorial_modP[n] * ( (pow(factorial_modP[r], MOD - 2, MOD) * pow(factorial_modP[n - r], MOD - 2, MOD)) % MOD)) % MOD def test_print(*args): if testingMode: print(args) def display_list(list1, sep=" "): stdout.write(sep.join(map(str, list1)) + "\n") def display_2D_list(li): for i in li: print(i) def prefix_sum(li): sm = 0 res = [] for i in li: sm += i res.append(sm) return res def get_int(): return int(stdin.readline().strip()) def get_tuple(): return map(int, stdin.readline().split()) def get_list(): return list(map(int, stdin.readline().split())) memory = dict() def clear_cache(): global memory memory = dict() def cached_fn(fn, *args): global memory if args in memory: return memory[args] else: result = fn(*args) memory[args] = result return result def ncr(n, r): return math.factorial(n) / (math.factorial(n - r) * math.factorial(r)) def binary_search(i, li): fn = lambda x: li[x] - x // i x = -1 b = len(li) while b >= 1: while b + x < len(li) and fn(b + x) > 0: # Change this condition 2 to whatever you like x += b b = b // 2 return x # -------------------------------------------------------------- MAIN PROGRAM TestCases = False fac_warm_up_size = 10 ** 5 + 100 optimise_for_recursion = False # Can not be used clubbed with TestCases WHen using recursive functions, use Python 3 def main(): st = list(stdin.readline().strip()) mini = st[0] for i in st: if i<=mini: print("Mike") mini = i else: print("Ann") # --------------------------------------------------------------------- END= if TestCases: for i in range(get_int()): main() else: main() if not optimise_for_recursion else threading.Thread(target=main).start() ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` [s] = input().strip().split() (mike, ann) = ('Mike', 'Ann') k = s.__len__() lessthan = [False] * k smallestLetter = s[0] for i in range(1, k): if (s[i] > smallestLetter): lessthan[i] = True elif (s[i] < smallestLetter): smallestLetter = s[i] for i in range(k): if lessthan[i]: print(ann) else: print(mike) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s = input() m = 200 for i in range(len(s)): #print(ord(s[i]), m) if ord(s[i]) <= m: print('Mike') else: print('Ann') m = min(m, ord(s[i])) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s=input() sms=[] mic='z' for i in s: if i<mic: sms.append(i) mic=i else: sms.append(mic) for i in range(len(s)): if sms[i]<s[i]: print("Ann") else: print("Mike") ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s = input() length = len(s) for i in range(length): left = i right = i if s.index(min(s)) < left and min(s) != s[left]: print('Ann') else: print('Mike') ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s = input() n = len(s) ans = [] for i in range(n): sub = s[i] if i == 0 or i == n-1: ans.append('Mike') else: l = i while l > 0: if ord(s[l-1]) <= ord(s[l]): l -= 1 else: break if l == 0: ans.append('Ann') else: ans.append('Mike') for i in ans: print(i) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s = input() for k in range(len(s)): if k == 0 or k == len(s)-1: print('Mike') continue for i in range(k): if s[i] < s[k]: print('Ann') break else: print('Mike') ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≀ k < |s|). At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules: * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≀ l, r^{\prime} β‰₯ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}. * Ann moves first. * The player, that can't make a move loses. Recall that a substring s[l, r] (l ≀ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not. Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k. Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k. Input The first line of the input contains a single string s (1 ≀ |s| ≀ 5 β‹… 10^5) consisting of lowercase English letters. Output Print |s| lines. In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally Examples Input abba Output Mike Ann Ann Mike Input cba Output Mike Mike Mike Submitted Solution: ``` s = input() k = len(s) j = 0 i = 0 for i in range(k): if i == k - 1: print("Mike") break for j in range(i+1): if (ord(s[j]) < ord(s[i])): print("Ann") break if j == i: print("Mike") ```
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