1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
# from decimal import *
# getcontext().prec = 500
import random
random.seed(22132137)

import sys


def eprint(*args, **kwargs):
    print(*args, file=sys.stderr, **kwargs)

kStayStill = 0 #I'm winning or losing, play P
kCatchUp = 1 #I'm losing, play P with prob 0.24, else 'N'
kFreeWill = 2 #play P/K/N with prob 1/3
kSwiruj = 3 #I'm winning, play P with prob 0.24, else 'K'

#p = Decimal(0.24)

B = 1000

kWin = 1
kDraw = 0
kLost = -1
idd = '#'

def GetRes(me, opp):
  if me == opp:
    return kDraw
  if me == 'P' and opp == 'K':
    return kWin
  if me == 'K' and opp == 'N':
    return kWin
  if me == 'N' and opp == 'P':
    return kWin
  return kLost

def NextState(cur, res, im_smaller):
  if cur == kStayStill:
    #assert res != kWin
    if res == kDraw:
      return kStayStill
    return kFreeWill
  
  if cur == kCatchUp or cur == kSwiruj:
    if res == kDraw:
      return cur
    return kFreeWill
  
  if res == kWin:
    if im_smaller:
      return kStayStill
    else:
      return kSwiruj
  
  if res == kDraw:
    return kFreeWill
  
  if im_smaller:
    return kStayStill
  else:
    return kCatchUp

def Batch(n, msg, my_state, their_state):
  to_send = []
  #to_xor = []
  ind = 0
  SCALE = 2 ** (2 * B)
  step = 2 ** (2 * B - n)
  my_val = 0
  cur_pow = SCALE // 2
  to_xor_encode = []
  to_xor_decode = []
  for c in msg:
    to_xor_encode.append(random.randint(0, 1))
    to_xor_decode.append(random.randint(0, 1))
  if idd == 'A':
    to_xor_encode, to_xor_decode = to_xor_decode, to_xor_encode
  pos = 0
  for c in msg:
    if c == '0':
      to_send.append(to_xor_encode[pos])
    else:
      to_send.append(to_xor_encode[pos] ^ 1)
    pos = pos + 1
    my_val += to_send[-1] * cur_pow
    cur_pow //= 2
    # print(cur_pow, to_send[-1])
      
  # for c in range(kBuffer):
  #   to_send.append(random.random() % 2)
  my_val += cur_pow
  my_L = 0
  my_R = SCALE
  his_L = 0
  his_R = SCALE
  #eps = Decimal(2) ** (-(n + 100))
  # eprint(idd, to_xor)
  # eprint(idd, to_send)
  #eprint(idd, my_val)
  #eprint(idd, msg)
  #eprint("stderr")
  while my_L // step < my_R // step or his_L // step < his_R // step:
    my_move = '$'
    #eprint(idd, my_L, my_R)
    #eprint(idd, his_L, his_R)
    #eprint(idd, my_state, their_state)
    
    if my_state == kStayStill:
      my_move = 'P'
    elif my_state == kCatchUp or my_state == kSwiruj:
      my_M = (my_L * 76 + my_R * 24) // 100
      if my_val < my_M:
        my_move = 'P'
        my_R = my_M
      else:
        if my_state == kCatchUp:
          my_move = 'N'
        else:
          my_move = 'K'
        my_L = my_M
    else:
      my_M1 = (2 * my_L + my_R) // 3
      my_M2 = (my_L + 2 * my_R) // 3
      if my_val < my_M1:
        my_move = 'P'
        my_R = my_M1
      elif my_val < my_M2:
        my_move = 'K'
        my_L, my_R = my_M1, my_M2
      else:
        my_move = 'N'
        my_L = my_M2
    #eprint(idd, my_move)
    print(my_move, flush=True)
    
    their_move = input()
    if their_state == kFreeWill:
      thr1 = (2 * his_L + his_R) // 3
      thr2 = (his_L + 2 * his_R) // 3
      if their_move == 'P':
        his_R = thr1
      elif their_move == 'K':
        his_L, his_R = thr1, thr2
      else:
        his_L = thr2
    elif their_state == kCatchUp or their_state == kSwiruj:
      his_M = (his_L * 76 + his_R * 24) // 100
      if their_move == 'P':
        his_R = his_M
      else:
        his_L = his_M
        
    res = GetRes(my_move, their_move)
    A_wid = my_R - my_L
    B_wid = his_R - his_L
    if idd == 'B':
      A_wid, B_wid = B_wid, A_wid
    im_smaller = A_wid < B_wid
    if idd == 'B':
      im_smaller = not im_smaller
    my_state = NextState(my_state, res, im_smaller)
    their_state = NextState(their_state, -res, not im_smaller)
  
  their_str = ""
  for i in range(n):
    his_L *= 2
    if his_L > SCALE:
      if to_xor_decode[i]:
        their_str += '0'
      else:
        their_str += '1'
      his_L -= SCALE
    else:
      if to_xor_decode[i]:
        their_str += '1'
      else:
        their_str += '0'
  #eprint(idd, their_str)
  return their_str, my_state, their_state
  
  
  
def Test(n):
  my_str = input()
  their_str = ""
  #eprint(idd, my_str)
  my_state = kFreeWill
  their_state = kFreeWill
  while len(my_str):
    L = min(B, len(my_str))
    tstr, my_state, their_state = Batch(L, my_str[0 : L], my_state, their_state)
    their_str += tstr
    my_str = my_str[L:]
  # eprint(idd, their_str)
  print("! " + their_str, flush=True)
  


imie = input()
idd = imie[0]

# if s == "Algosia":
#   print("! 00001")
#   print("! 10001")
# else:
#   print("! 10010")
#   print("! 00010")
  
n, t = map(int, input().split())
for _ in range(t):
  Test(n)