problem_id
stringlengths
6
6
user_id
stringlengths
10
10
time_limit
float64
1k
8k
memory_limit
float64
262k
1.05M
problem_description
stringlengths
48
1.55k
codes
stringlengths
35
98.9k
status
stringlengths
28
1.7k
submission_ids
stringlengths
28
1.41k
memories
stringlengths
13
808
cpu_times
stringlengths
11
610
code_sizes
stringlengths
7
505
p03463
u242031676
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['print("Borys")', 'n, a, b = map(int, input().split())\nif (b-a)%2:\n print("Borys")\nelse:\n print("Alice")']
['Wrong Answer', 'Accepted']
['s165863628', 's225638520']
[9140.0, 9164.0]
[27.0, 30.0]
[14, 87]
p03463
u246366098
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b=map(int,input.split())\nif (a-b)%2==0:print('Alice')\nelse:print('Borys')", "n,a,b=map(int,input().split())\nif (a-b)%2==0:print('Alice')\nelse:print('Borys')"]
['Runtime Error', 'Accepted']
['s466918629', 's107436440']
[9064.0, 9096.0]
[29.0, 27.0]
[77, 79]
p03463
u263933075
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["s=input().split()\nif int(s[2])-int(s[1])==1:\n print('Borys')\nelif int(s[2])-int(s[1])%2==0:\n print('Alice')\nelse:\n print('Borys')", "s=input().split()\nif int(s[2])-int(s[1])%2==0:\n print('Alice')\nelse:\n print('Borys')", "a = input().split()\nif (int(a[2]) - int(a[1])) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')"]
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s414270209', 's924953993', 's677948345']
[2940.0, 2940.0, 2940.0]
[17.0, 17.0, 17.0]
[138, 90, 100]
p03463
u268210555
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n, a, b = list(map(int, input().split()))\nprint(['Borys','Alice'][(b-a)%2])", "n, a, b = list(map(int, input().split()))\nprint(['Alice','Borys'][(b-a)%2])"]
['Wrong Answer', 'Accepted']
['s699059368', 's649852991']
[2940.0, 2940.0]
[17.0, 17.0]
[75, 75]
p03463
u288430479
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n,a,b = map(int,input().split())\nt = b-a\nif t%2==0:\n print("Borys")\nelse:\n print("Alice")', 'n,a,b = map(int,input().split())\nt = b-a\nif t%2==0:\n print("Alice")\nelse:\n print("Borys")']
['Wrong Answer', 'Accepted']
['s438752685', 's867942472']
[2940.0, 2940.0]
[17.0, 17.0]
[91, 91]
p03463
u293579463
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['K = int(input())\nA = [int(i) for i in input().split()]\n\nMax, Min = 0, 0\nerror = -1\n\ndef N_max(a, Max, Min):\n if Max > a and Min%a != 0:\n return a*(Min//a + 2) - 1\n elif Max > a and Min%a == 0:\n return a*(Min//a + 1) - 1\n else:\n return a*2 -1\n \ndef N_min(a, m):\n if m > a:\n return a*(m//a + 1)\n else:\n return a\n\nfor i in range(K)[::-1]:\n\n if A[-1] == 2:\n if i == 0: \n Max = N_max(A[i], Max, Min)\n Min = N_min(A[i], Min)\n print(Min, Max)\n break\n \n elif A[i-1]/A[i] < 2: \n Max = N_max(A[i], Max, Min)\n Min = N_min(A[i], Min)\n\n else:\n print(error)\n break\n \n else:\n print(error)\n break\n', 'N, A, B = [int(i) for i in input().split()]\nprint("Alice") if (A-B)%2 == 0 else print("Borys")']
['Runtime Error', 'Accepted']
['s425031896', 's685824928']
[3064.0, 3316.0]
[18.0, 18.0]
[861, 94]
p03463
u297574184
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["from math import ceil, floor\n\nK = int(input())\nAs = list(map(int, input().split()))\n\nL = 2\nR = 2\nfor A in reversed(As):\n if R // A * A < L:\n print('-1')\n exit()\n L = ceil(L / A) * A\n R = floor(R / A) * A + A - 1\n\nprint(L, R)\n", "N, A, B = map(int, input().split())\n\nif (B - A) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')\n"]
['Runtime Error', 'Accepted']
['s265788709', 's216792438']
[3060.0, 2940.0]
[17.0, 17.0]
[248, 102]
p03463
u329058683
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B=map(input().split())\nif A-B%2==0:\n print("Alice")\nelse:\n print("Borys")', 'N,A,B=map(int,input().split())\nif (A-B)%2==0:\n print("Alice")\nelse:\n print("Borys")']
['Runtime Error', 'Accepted']
['s837563294', 's625173833']
[2940.0, 2940.0]
[17.0, 17.0]
[79, 85]
p03463
u329706129
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = map(int, input().split())\nfor i in range(N):\n if(B != A + 1): A += 1\n elif(A != 0): A -= 1\n else: print('Borys'); exit(0)\n if(A != B - 1): B -= 1\n elif(B != N): B += 1\n else: print('Arice'); exit(0)\nprint('Draw')\n", "N, A, B = map(int, input().split())\nfor i in range(N):\n if(B != A + 1): A += 1\n elif(A != 0): A -= 1\n else: print('Borys'); exit(0)\n if(A != B - 1): B -= 1\n elif(B != N): B += 1\n else: print('Alice'); exit(0)\nprint('Draw')\n"]
['Wrong Answer', 'Accepted']
['s281708740', 's189785228']
[3060.0, 3060.0]
[19.0, 18.0]
[241, 241]
p03463
u347640436
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = map(int, input().split())\nelif (B - A) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')\n", "N, A, B = map(int, input().split())\nif (B - A) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')\n"]
['Runtime Error', 'Accepted']
['s144101209', 's431961658']
[2940.0, 2940.0]
[17.0, 17.0]
[99, 97]
p03463
u363836311
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N,A,B=map(int, input().split())\nwhile A!=1 and B!=N:\n if A!=B-1:\n A+=1\n else:\n A=A-1\n print(A)\n if B!=A+1:\n B=B-1\n else:\n B=B+1\n print(B)\nif A==1:\n print('Borys')\nelse:\n print('Alice')\n \n", "N,A,B=map(int, input().split())\nturn=0\nwhile A!=1 and B!=N or turn==0:\n if A!=B-1:\n A+=1\n else:\n A=A-1\n if A<1:\n A=1\n if B!=A+1:\n B=B-1\n else:\n B=B+1\n if B>N:\n B=N\n turn+=1\nif A==1:\n print('Borys')\nelse:\n print('Alice')"]
['Wrong Answer', 'Accepted']
['s200494510', 's905568961']
[3060.0, 3064.0]
[17.0, 18.0]
[212, 252]
p03463
u371467115
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n,a,b=map(int,input().split())\nif abs(a-b)%1==0:\n print("Borys")\nelse:\n print("Alice")', 'n,a,b=map(int,input().split())\nif (b-a)%2==1:\n print("Borys")\nelif (b-a)%2==0: \n print("Alice")\nelse:\n print("Draw")\n']
['Wrong Answer', 'Accepted']
['s695866284', 's841606461']
[2940.0, 2940.0]
[17.0, 18.0]
[88, 120]
p03463
u393512980
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = map(int, input().split())\nif (A-B)%2:\n print('Alice')\nelse:\n print('Borys')", "N, A, B = map(int, input().split())\nif (A-B)%2==0:\n print('Alice')\nelse:\n print('Borys')"]
['Wrong Answer', 'Accepted']
['s017401702', 's653983306']
[2940.0, 2940.0]
[17.0, 17.0]
[91, 94]
p03463
u401093859
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N_A_B = list(map(int, input().split()))\n\nif N_A_B[1] - N_A_B[2] %2 == 0:\n print("Alice")\nelif N_A_B[1] - N_A_B[2] %2 == 1:\n print("Borys")', 'N_A_B = list(map(int, input().split()))\n\nif N_A_B[1] - N_A_B[2] %2 == 0:\n print("Borys")\nelif N_A_B[1] - N_A_B[2] %2 == 1:\n print("Alice")', 'N_A_B = list(map(int, input().split()))\n\nif (N_A_B[2] - N_A_B[1]) %2 == 0:\n print("Alice")\nelif (N_A_B[2] - N_A_B[1]) %2 == 1:\n print("Borys")']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s894226953', 's940741797', 's891979532']
[2940.0, 2940.0, 3068.0]
[17.0, 17.0, 17.0]
[144, 144, 148]
p03463
u403331159
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B=map(int,input().split())\ndist=B-A\nif dist%2==0:\n print("Borys")\nelse:\n print("Alice")', 'N,A,B=map(int,input().split())\ndist=B-A\nif dist%2==1:\n print("Borys")\nelse:\n print("Alice")']
['Wrong Answer', 'Accepted']
['s856180180', 's795781950']
[2940.0, 2940.0]
[17.0, 17.0]
[97, 97]
p03463
u408620326
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = [int(x) for x in input().strip().split()]\nif (A - B) % 2 == 0:\n print('Alice')\neles:\n print('Borys')", "N, A, B = [int(x) for x in input().strip().split()]\nif (A - B) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')"]
['Runtime Error', 'Accepted']
['s284058974', 's605655155']
[2940.0, 2940.0]
[17.0, 17.0]
[112, 112]
p03463
u409064224
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B = map(int,input().split())\n\nif A == 1 and B == 2:\n print("Borys")\n exit()\nif (A == N-2 or A == N-1) and B == N:\n print("Alice")\n exit()\n\nif (B-A)%2 == 0 and A%2 == 1:\n print("Alice")\nelse:\n print("Borys")\n\n', 'N,A,B = map(int,input().split())\n\nif (B-A)%2 == 0:\n print("Alice")\nelse:\n print("Borys")\n\n']
['Wrong Answer', 'Accepted']
['s734151727', 's279396302']
[2940.0, 2940.0]
[21.0, 21.0]
[230, 96]
p03463
u426108351
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["a,b,c = map(int, input().split())\nif c - b % 2 == 0:\n print('Alice')\nelse:\n print('Borys')", "a,b,c = map(int, input().split())\nif (c-b) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')\n"]
['Wrong Answer', 'Accepted']
['s636876196', 's670012723']
[2940.0, 2940.0]
[17.0, 18.0]
[92, 93]
p03463
u450339194
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = map(int, input().split())\n\ndiff = abs(A - B)\nif diff % 2 == 0:\n print('Borys')\nelse:\n print('Alice')", "N, A, B = map(int, input().split())\n\n\ndiff = abs(A - B)\nif diff % 2 == 0:\n print('Alice')\nelse:\n print('Borys')"]
['Wrong Answer', 'Accepted']
['s892468364', 's171674019']
[2940.0, 2940.0]
[18.0, 17.0]
[116, 117]
p03463
u454481887
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B = int.input()\nM = A+B\nif (M%2==1):\n print("Borys")\nelse:\n print("Alice")', 'N,A,B = map(int.input())\nM = N+A+B\nif (M%2==1):\n print("Borys")\nelse:\n print("Alice")', 'N,A,B = map(int.input())\nif ((N+A+B)%2==1):\n print("Borys")\nelse:\n print("alice")', 'n, a, b = map(int,input().split())\nm = a + b\nif (m % 2==1):\n print("Borys")\nelse:\n print("Alice")']
['Runtime Error', 'Runtime Error', 'Runtime Error', 'Accepted']
['s131869066', 's548580296', 's627367222', 's474158724']
[2940.0, 2940.0, 2940.0, 2940.0]
[17.0, 18.0, 18.0, 17.0]
[84, 91, 87, 103]
p03463
u490553751
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['print("Draw")', '#template\ndef inputlist(): return [int(j) for j in input().split()]\n#template\n\nN,A,B = inputlist()\nif (B-A-1) % 2 == 1:\n print("Alice")\nif (B-A-1) % 2 == 0:\n print("Borys")']
['Wrong Answer', 'Accepted']
['s693269924', 's143674412']
[2940.0, 2940.0]
[17.0, 18.0]
[13, 199]
p03463
u505420467
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n,a,b=map(int,input().split())\nif n==2:\n print("Draw")\nelif (b-a-1)%2==0:\n print("Alice")\nelse:\n print("Borys")\n', 'n,a,b=map(int,input().split())\nif n==2:\n print("Borys")\nelif (b-a-1)%2==0:\n print("Borys")\nelse:\n print("Alice")\n']
['Wrong Answer', 'Accepted']
['s345969889', 's178482598']
[3064.0, 2940.0]
[18.0, 18.0]
[121, 122]
p03463
u509739538
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['import math\nimport queue\nfrom collections import defaultdict\n\ndef readInt():\n\treturn int(input())\ndef readInts():\n\treturn list(map(int, input().split()))\ndef readChar():\n\treturn input()\ndef readChars():\n\treturn input().split()\ndef factorization(n):\n\tres = []\n\tif n%2==0:\n\t\tres.append(2)\n\tfor i in range(3,math.floor(n//2)+1,2):\n\t\tif n%i==0:\n\t\t\tc = 0\n\t\t\tfor j in res:\n\t\t\t\tif i%j==0:\n\t\t\t\t\tc=1\n\t\t\tif c==0:\n\t\t\t\tres.append(i)\n\treturn res\ndef fact2(n):\n\tp = factorization(n)\n\tres = []\n\tfor i in p:\n\t\tc=0\n\t\tz=n\n\t\twhile 1:\n\t\t\tif z%i==0:\n\t\t\t\tc+=1\n\t\t\t\tz/=i\n\t\t\telse:\n\t\t\t\tbreak\n\t\tres.append([i,c])\n\treturn res\ndef fact(n):\n\tans = 1\n\tm=n\n\tfor _i in range(n-1):\n\t\tans*=m\n\t\tm-=1\n\treturn ans\ndef comb(n,r):\n\tif n<r:\n\t\treturn 0\n\tl = min(r,n-r)\n\tm=n\n\tu=1\n\tfor _i in range(l):\n\t\tu*=m\n\t\tm-=1\n\treturn u//fact(l)\ndef printQueue(q):\n\tr=qb\n\tans=[0]*r.qsize()\n\tfor i in range(r.qsize()-1,-1,-1):\n\t\tans[i] = r.get()\n\tprint(ans)\ndef dq():\n\treturn queue.deque()\nclass UnionFind():\n\tdef __init__(self, n):\n\t\tself.n = n\n\t\tself.parents = [-1]*n\n\n\tdef find(self, x): # root\n\t\tif self.parents[x]<0:\n\t\t\treturn x\n\t\telse:\n\t\t\tself.parents[x] = self.find(self.parents[x])\n\t\t\treturn self.parents[x]\n\n\tdef union(self,x,y):\n\t\tx = self.find(x)\n\t\ty = self.find(y)\n\n\t\tif x==y:\n\t\t\treturn\n\n\t\tif self.parents[x]>self.parents[y]:\n\t\t\tx,y = y,x\n\n\t\tself.parents[x]+=self.parents[y]\n\t\tself.parents[y]=x\n\n\tdef size(self,x):\n\t\treturn -1*self.parents[self.find(x)]\n\n\tdef same(self,x,y):\n\t\treturn self.find(x)==self.find(y)\n\n\tdef members(self,x): # much time\n\t\troot = self.find(x)\n\t\treturn [i for i in range(self.n) if self.find(i)==root]\n\n\tdef roots(self):\n\t\treturn [i for i,x in enumerate(self.parents) if x<0]\n\n\tdef group_count(self):\n\t\treturn len(self.roots())\n\n\tdef all_group_members(self):\n\t\treturn {r: self.members(r) for r in self.roots()} # 1~n\ndef bitArr(n):\n\tx = 1\n\tzero = "0"*n\n\tans = []\n\tans.append([0]*n)\n\tfor i in range(2**n-1):\n\t\tans.append(list(map(lambda x:int(x),list((zero+bin(x)[2:])[-1*n:]))))\n\t\tx+=1\n\treturn ans;\ndef arrsSum(a1,a2):\n\tfor i in range(len(a1)):\n\t\ta1[i]+=a2[i]\n\treturn a1\ndef maxValue(a,b,v):\n\tv2 = v\n\tfor i in range(v2,-1,-1):\n\t\tfor j in range(v2//a+1): \n\t\t\tk = i-a*j\n\t\t\tif k%b==0:\n\t\t\t\treturn i\n\treturn -1\n\nn,a,b = readInts()\n\nif b-a%2==0:\n\tprint("Alice")\nelse:\n\tprint("Borys")', 'import math\nimport queue\nfrom collections import defaultdict\n\ndef readInt():\n\treturn int(input())\ndef readInts():\n\treturn list(map(int, input().split()))\ndef readChar():\n\treturn input()\ndef readChars():\n\treturn input().split()\ndef factorization(n):\n\tres = []\n\tif n%2==0:\n\t\tres.append(2)\n\tfor i in range(3,math.floor(n//2)+1,2):\n\t\tif n%i==0:\n\t\t\tc = 0\n\t\t\tfor j in res:\n\t\t\t\tif i%j==0:\n\t\t\t\t\tc=1\n\t\t\tif c==0:\n\t\t\t\tres.append(i)\n\treturn res\ndef fact2(n):\n\tp = factorization(n)\n\tres = []\n\tfor i in p:\n\t\tc=0\n\t\tz=n\n\t\twhile 1:\n\t\t\tif z%i==0:\n\t\t\t\tc+=1\n\t\t\t\tz/=i\n\t\t\telse:\n\t\t\t\tbreak\n\t\tres.append([i,c])\n\treturn res\ndef fact(n):\n\tans = 1\n\tm=n\n\tfor _i in range(n-1):\n\t\tans*=m\n\t\tm-=1\n\treturn ans\ndef comb(n,r):\n\tif n<r:\n\t\treturn 0\n\tl = min(r,n-r)\n\tm=n\n\tu=1\n\tfor _i in range(l):\n\t\tu*=m\n\t\tm-=1\n\treturn u//fact(l)\ndef printQueue(q):\n\tr=qb\n\tans=[0]*r.qsize()\n\tfor i in range(r.qsize()-1,-1,-1):\n\t\tans[i] = r.get()\n\tprint(ans)\ndef dq():\n\treturn queue.deque()\nclass UnionFind():\n\tdef __init__(self, n):\n\t\tself.n = n\n\t\tself.parents = [-1]*n\n\n\tdef find(self, x): # root\n\t\tif self.parents[x]<0:\n\t\t\treturn x\n\t\telse:\n\t\t\tself.parents[x] = self.find(self.parents[x])\n\t\t\treturn self.parents[x]\n\n\tdef union(self,x,y):\n\t\tx = self.find(x)\n\t\ty = self.find(y)\n\n\t\tif x==y:\n\t\t\treturn\n\n\t\tif self.parents[x]>self.parents[y]:\n\t\t\tx,y = y,x\n\n\t\tself.parents[x]+=self.parents[y]\n\t\tself.parents[y]=x\n\n\tdef size(self,x):\n\t\treturn -1*self.parents[self.find(x)]\n\n\tdef same(self,x,y):\n\t\treturn self.find(x)==self.find(y)\n\n\tdef members(self,x): # much time\n\t\troot = self.find(x)\n\t\treturn [i for i in range(self.n) if self.find(i)==root]\n\n\tdef roots(self):\n\t\treturn [i for i,x in enumerate(self.parents) if x<0]\n\n\tdef group_count(self):\n\t\treturn len(self.roots())\n\n\tdef all_group_members(self):\n\t\treturn {r: self.members(r) for r in self.roots()} # 1~n\ndef bitArr(n):\n\tx = 1\n\tzero = "0"*n\n\tans = []\n\tans.append([0]*n)\n\tfor i in range(2**n-1):\n\t\tans.append(list(map(lambda x:int(x),list((zero+bin(x)[2:])[-1*n:]))))\n\t\tx+=1\n\treturn ans;\ndef arrsSum(a1,a2):\n\tfor i in range(len(a1)):\n\t\ta1[i]+=a2[i]\n\treturn a1\ndef maxValue(a,b,v):\n\tv2 = v\n\tfor i in range(v2,-1,-1):\n\t\tfor j in range(v2//a+1): \n\t\t\tk = i-a*j\n\t\t\tif k%b==0:\n\t\t\t\treturn i\n\treturn -1\n\nn,a,b = readInts()\n\nif (b-a)%2==0:\n\tprint("Alice")\nelse:\n\tprint("Borys")']
['Wrong Answer', 'Accepted']
['s656245898', 's420056747']
[9732.0, 9800.0]
[25.0, 28.0]
[2322, 2324]
p03463
u586577600
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n, a, b = map(int, input().split())\nprint('Alice' if abs(a-b)%2 == 1 else 'Borys')\n", "n, a, b = map(int, input().split())\nprint('Alice' if (abs(a-b)-1)%2 == 1 else 'Borys')\n"]
['Wrong Answer', 'Accepted']
['s736370106', 's364767782']
[2940.0, 3316.0]
[17.0, 18.0]
[83, 87]
p03463
u604693716
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['a = input().split(" ")\nb = list(map(int, a))\nif (b[2] - b[1]) % 2 == 0:\n print("Borys")\nelse:\n print("Alice")\n', 'a = input().split(" ")\nb = list(map(int, a))\nif (b[2] - b[1]) % 2 == 1:\n print("Borys")\nelse:\n print("Alice")\n']
['Wrong Answer', 'Accepted']
['s230051751', 's682927953']
[2940.0, 2940.0]
[17.0, 17.0]
[116, 116]
p03463
u608777907
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['def solve(A):\n current_max = 2\n current_min = 2\n for a_k in reversed(A):\n if current_max < a_k:\n print(\'-1\')\n return\n\n current_max = (current_max // a_k) * a_k + (a_k - 1)\n current_min = ((current_min - 1) // a_k + 1) * a_k\n current_min = max(current_min, a_k)\n\n print("{} {}".format(current_min, current_max))\n return\n\n\nif __name__ == \'__main__\':\n K = int(input())\n A = list(map(int, input().split()))\n solve(A)\n', 'N, A, B = map(int, input().split())\nif (B - A) & 1:\n print("Borys")\nelse:\n print("Alice")']
['Runtime Error', 'Accepted']
['s957853004', 's397896151']
[3060.0, 2940.0]
[17.0, 17.0]
[487, 95]
p03463
u623687794
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b=map(int,input().split())\nif a==1 and b==2:\n print('Borys')\nelif b-a%2==0:\n print('Alice')\nelse:\n print('Borys')", "n,a,b=map(int,input().split())\nif a==1 and b==2:\n print('Borys')\nelif (b-a)%2==0:\n print('Alice')\nelse:\n print('Borys')\n"]
['Wrong Answer', 'Accepted']
['s783110155', 's022927294']
[2940.0, 2940.0]
[17.0, 17.0]
[120, 123]
p03463
u652081898
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n, a, b = map(int, input().split())\n\nif n == 0:\n print("Borys")\nelif (b-a)%2 == 0:\n print("Borys")\nelse:\n print("Alice")', 'n, a, b = map(int, input().split())\n\nif n == 2:\n print("Borys")\nelif (b-a-1)%2 == 0:\n print("Borys")\nelse:\n print("Alice")\n']
['Wrong Answer', 'Accepted']
['s074932162', 's505140526']
[3060.0, 2940.0]
[20.0, 17.0]
[129, 132]
p03463
u664148512
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['import math\na=list(map(int, input().split()))\nprint("BAoLriycse"[math.floor((a[0]/2-a[1])%2 if a[0]%2==0 else ((a[0]/2+1)-a[1])%2)::2])\n', 'a=list(map(int, input().split()));print("ABloircyes"[(a[2]-a[1])%2::2])']
['Wrong Answer', 'Accepted']
['s135203243', 's567378725']
[3060.0, 2940.0]
[17.0, 17.0]
[136, 71]
p03463
u667024514
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['a,b,c = map(int,input().split())\nif (a-b) % 2 == 1:\n print("Borys")\nelse:\n print("Alice")', 'a,b,c = map(int,input().split())\nif (b-c) % 2 == 1:\n print("Borys")\nelse:\n print("Alice")']
['Wrong Answer', 'Accepted']
['s962024282', 's273657483']
[2940.0, 2940.0]
[17.0, 17.0]
[91, 91]
p03463
u670180528
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n,a,b=map(int,input().split());print("BAolriycse"[(b-a)%2::2])', 'n,a,b=map(int,input().split());print("ABloircyes"[(b-a)%2::2])']
['Wrong Answer', 'Accepted']
['s755334640', 's520694478']
[2940.0, 2940.0]
[17.0, 17.0]
[62, 62]
p03463
u692632484
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['a,b,c=[int(i) for i in input().split()] 2 flag=(abs(b-c)%2)==0\n\nif flag:\n\tprint("Alice")\nelse:\n\tprint("Borys")', 'a,b,c=[int(i) for i in input().split()]\nif abs(b-c)%2==0:\n\tprint("Alice")\nelse:\n\tprint("Borys")']
['Runtime Error', 'Accepted']
['s085161822', 's932500171']
[2940.0, 2940.0]
[17.0, 17.0]
[175, 95]
p03463
u707870100
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['# -*- coding: utf-8 -*-\n#AGC020A\nimport sys\n#import collections\n\n#n= int(input())\ntmp = input().split()\nn,a,b = list(map(lambda a: int(a), tmp))\n\nif((b-a)%2==1):\n\tprint("Alice")\nelse:\n\tprint("Borys")\n\n\n', '# -*- coding: utf-8 -*-\n#AGC020A\nimport sys\n#import collections\n\n#n= int(input())\ntmp = input().split()\nn,a,b = list(map(lambda a: int(a), tmp))\n\nif((b-a)%2==0):\n\tprint("Alice")\nelse:\n\tprint("Borys")\n\n\n']
['Wrong Answer', 'Accepted']
['s033605133', 's451259476']
[2940.0, 2940.0]
[18.0, 17.0]
[202, 202]
p03463
u731322489
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n, a, b = map(int, input().split())\n\nwhile a > 1 and b < n:\n if b > a + 1:\n a += 1\n else:\n a -= 1\n\n if a < b - 1:\n b -= 1\n else:\n b += 1\n print(a, b)\n\nprint("Borys" if a == 1 else "Alice")', 'n, a, b = map(int, input().split())\nprint("Borys" if (b - a) % 2 == 1 else "Alice")']
['Wrong Answer', 'Accepted']
['s077221156', 's622140562']
[3316.0, 2940.0]
[21.0, 17.0]
[231, 83]
p03463
u745997547
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["#\nN, A, B = list(map(int, input().rstpir().split()))\n\n#\nif (B-A-1)%2==0:\n print('Borys')\nelse:\n print('Alice')\n", "#\nN, A, B = list(map(int, input().split()))\n\n#\nif (B-A-1)%2==0:\n print('Borys')\nelse:\n print('Alice')\n"]
['Runtime Error', 'Accepted']
['s067749466', 's784584441']
[2940.0, 2940.0]
[17.0, 17.0]
[117, 108]
p03463
u772588522
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n, a, b = map(int, input().split())\n\n\n\n\nif b - a % 2:\n print('Borys')\nelse:\n print('Alice')", "n, a, b = map(int, input().split())\n\n\n\n\nif (b - a) % 2:\n print('Borys')\nelse:\n print('Alice')"]
['Wrong Answer', 'Accepted']
['s843491635', 's001024622']
[2940.0, 2940.0]
[18.0, 17.0]
[282, 284]
p03463
u787562674
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N, A, B = map(int, input().split())\n\nprint('Alice' if (B - A + 1) % 2 == 0 else 'Borys')\n", "N, A, B = map(int, input().split())\n\nprint('Borys' if (B - A + 1) % 2 == 0 else 'Alice')\n"]
['Wrong Answer', 'Accepted']
['s065914799', 's306618786']
[2940.0, 2940.0]
[18.0, 17.0]
[89, 89]
p03463
u810735437
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N, A, B = map(int, input().split())\nif (B - A) % 2:\n print("Alice")\nelse:\n print("Borys")\n\n', 'N, A, B = map(int, input().split())\nif (B - A) % 2:\n print("Borys")\nelse:\n print("Alice")\n\n']
['Wrong Answer', 'Accepted']
['s165092491', 's502963461']
[2940.0, 2940.0]
[18.0, 18.0]
[97, 97]
p03463
u810778810
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['a=list(input())\nx=int(a[1])\ny=int(a[2])\n\nif abs(x-y)%2==0:\n print("Alice")\nelse:\n print("Borys")', 'a=list(input().split(" "))\nx=int(a[1])\ny=int(a[2])\n \nif abs(x-y)%2==0:\n print("Alice")\nelse:\n print("Borys")']
['Runtime Error', 'Accepted']
['s726410775', 's574248825']
[2940.0, 3060.0]
[17.0, 19.0]
[98, 110]
p03463
u815498317
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N,A,B = list(map(int,input().split()))\n\nif (B-A)%2 == 0:\n\tprint('Bob')\nelse:\n print('Alice')", "N,A,B = list(map(int,input().split()))\n\nif (B-A)%2 == 0:\n\tprint('Borys')\nelse:\n print('Alice')\n", "N,A,B = list(map(int,input().split()))\n\nif (B-A)%2 != 0:\n\tprint('Borys')\nelse:\n print('Alice')\n"]
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s097568906', 's607316983', 's353022146']
[2940.0, 2940.0, 2940.0]
[17.0, 17.0, 17.0]
[95, 98, 98]
p03463
u819688111
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["if __name__ == '__main__':\n \n N, A, B = [int(x) for x in input().split(' ')]\n \n while True:\n \n if (A+1) == B:\n if A == 1:\n print('Borys')\n break\n else:\n A -= 1\n else:\n A += 1\n\n print(A, B)\n\n if (B-1) == A:\n if B == N:\n print('Alice')\n break\n else:\n B += 1\n else:\n B -= 1\n\n print(A, B)\n", "if __name__ == '__main__':\n \n N, A, B = [int(x) for x in input().split(' ')]\n \n while True:\n \n if (A+1) == B:\n if A == 1:\n print('Borys')\n break\n else:\n A -= 1\n else:\n A += 1\n\n if (B-1) == A:\n if B == N:\n print('Alice')\n break\n else:\n B += 1\n else:\n B -= 1\n"]
['Wrong Answer', 'Accepted']
['s002959609', 's321267260']
[3060.0, 2940.0]
[17.0, 17.0]
[502, 460]
p03463
u820047642
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n,a,b=int(input().split())\nif (b-a+1)%2==0:\n print("Borys")\nelse:\n print("Alice")', 'n,a,b=map(int,input().split())\nif (b-a+1)%2==0:\n print("Borys")\nelse:\n print("Alice")']
['Runtime Error', 'Accepted']
['s181741735', 's493852738']
[2940.0, 2940.0]
[17.0, 17.0]
[87, 91]
p03463
u821262411
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b=map(int,input().split())\nif abs(a-b)%2 ==0:\n print('Borys')\nelse:\n print('Alice')\n ", "n,a,b=map(int,input().split())\nif abs(a-b)%2 ==1:\n print('Borys')\nelse:\n print('Alice')\n "]
['Wrong Answer', 'Accepted']
['s237337996', 's739529421']
[2940.0, 2940.0]
[17.0, 17.0]
[98, 98]
p03463
u841021102
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n, a, b = map(int, input().split())\nif (n + b) % 2 == 0:\n print("Alice")\nelif (n + b) % 2 != 0:\n print("Borys")', 'n, a, b = map(int, input().split())\nif (n + b) % 2 == 0:\n print("Alice")\nelif (n + b) % 2 != 0:\n print("Bor', 'n, a, b = map(int, input().split())\nif (a - b) % 2 == 0:\n print("Borys")\nelse:\n print("Alice")', 'n, a, b = map(int, input().split())\nif (a - b) % 2 == 0:\n print("Borys")\nelse:\n print("Borys")', 'n, a, b = map(int, input().split())\nif (a - b) % 2 == 0:\n print("Alice")\nelse:\n print("Borys")']
['Wrong Answer', 'Runtime Error', 'Wrong Answer', 'Wrong Answer', 'Accepted']
['s050167730', 's331575266', 's375065004', 's681197597', 's767171942']
[9076.0, 8960.0, 9108.0, 9076.0, 9108.0]
[29.0, 25.0, 30.0, 29.0, 29.0]
[113, 109, 96, 96, 96]
p03463
u844789719
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["import math\nK = int(input())\nA = [int(_) for _ in input().split()]\nl = r = 2\n'''\nif x children form groups consisting of y children each\n then z children are left\n=> z=y*(x//y)\n=> y*(math.ceil(z/y))<=x<y*(math.floor(z/y)+1)\n'''\n#necessary conditions\nfor a in A[::-1]:\n l = a * math.ceil(l / a)\n r = a * (math.floor(r / a) + 1) - 1\n#sufficient conditions\nfor x in [l, r]:\n for a in A:\n x = a * (x // a)\n if x != 2:\n print(-1)\n exit()\nprint(l, r)\n", "N, A, B = [int(_) for _ in input().split()]\nif (B - A) % 2:\n print('Borys')\nelse:\n print('Alice')\n"]
['Runtime Error', 'Accepted']
['s851393364', 's899756330']
[3064.0, 2940.0]
[17.0, 18.0]
[478, 104]
p03463
u858136677
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b = map(int,input().split())\nif n%2 == 0\n\tif a == 1:\n\t\tif b == n or b == 2:\n\t\t\tprint('Borys')\n\t\telse:\n\t\t\tprint('Alice')\n\tif b == n\n\t\tprint('Alice')\nelse:\n\tif a == 1:\n\t\tif b == n-1:\n\t\t\tprint('Borys')\n\t\telse:\n\t\t\tprint('Alice')\n\telif b == n:\n\t\tif a == n-1:\n\t\t\tprint('Alice')\n\t\telse:\n\t\t\tprint('Borys')\n\telse:\n\t\tif (b-a)%2 == 1:\n\t\t\tprint('Borys')\n\t\telse:\n\t\t\tprint('Alice')", "n,a,b = map(int,input().split())\nif n%2 == 0:\n\tif (b-a)%2 == 1:\n\t\tprint('Borys')\n\telse:\n\t\tprint('Alice')\nelse:\n\tif (b-a)%2 == 1:\n\t\tprint('Borys')\n\telse:\n\t\tprint('Alice')"]
['Runtime Error', 'Accepted']
['s615299280', 's388429026']
[2940.0, 2940.0]
[17.0, 17.0]
[371, 169]
p03463
u898967808
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b = map(int,input().split())\nif (b-a)%2 == 0:\n print('Borys')\nelse:\n pritn('Alice')", "n,a,b = map(int,input().split())\nif abs(b-a) % 2 == 0:\n print('Alice')\nelse:\n print('Borys') "]
['Runtime Error', 'Accepted']
['s519270095', 's502678637']
[9144.0, 8984.0]
[30.0, 29.0]
[89, 96]
p03463
u902151549
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B=map(int,input().split())\nd=B-A\nif d%2==:print("Alice")\nelse:print("Borys")', 'N,A,B=map(int,input().split())\nd=B-A\nif d%2==0:print("Alice")\nelse:print("Borys")\n']
['Runtime Error', 'Accepted']
['s255837763', 's694610359']
[2940.0, 2940.0]
[17.0, 17.0]
[80, 82]
p03463
u902468164
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n, a, b = [int(i) for i in input().splti(' ')]\nprint('Alice' if abs(a-b) % 2 == 0 else 'Borys')\n", "n, a, b = [int(i) for i in input().split(' ')]\nprint('Alice' if abs(a-b) % 2 == 0 else 'Borys')"]
['Runtime Error', 'Accepted']
['s746587892', 's354357501']
[2940.0, 2940.0]
[17.0, 17.0]
[96, 95]
p03463
u921168761
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N, A, B = map(int, input().split())\nprint("Alice" if (B - A) % 2 == 1 else "Borys")', 'N, A, B = map(int, input().split())\nprint("Alice" if (B - A) % 2 == 0 else "Borys")']
['Wrong Answer', 'Accepted']
['s733089013', 's345672390']
[2940.0, 2940.0]
[18.0, 17.0]
[83, 83]
p03463
u921773161
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["print('Draw')", "print('Draw')n, a, b = map(int, input().split())\n\nif (b-a) % 2 == 0:\n ans = 'Alice'\nelse:\n ans = 'Borys'\n\nprint(ans)", "n, a, b = map(int, input().split())\n\nif (b-a) % 2 == 0:\n ans = 'Alice'\nelse:\n ans = 'Borys'\n\nprint(ans)\n"]
['Wrong Answer', 'Runtime Error', 'Accepted']
['s053632752', 's559208902', 's717561249']
[2940.0, 2940.0, 2940.0]
[17.0, 17.0, 17.0]
[13, 123, 111]
p03463
u923270446
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['n, a, b = map(int, input())\nif (b - a) % 2 == 0:\n print("Alice")\nelse:\n print("Borys")', 'n,a,b=map(int,input().split())\nprint("Borys"if (b-a)%2else "Alice")']
['Runtime Error', 'Accepted']
['s788742054', 's648731743']
[2940.0, 9088.0]
[17.0, 28.0]
[92, 67]
p03463
u941753895
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b=map(int,input().split())\nif n==5 and a==2 and b==4:\n exit()\nif (b-a)%2==0:\n print('Alice')\nelse:\n print('Borys')", "import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time\n\nsys.setrecursionlimit(10**7)\ninf=10**20\nmod=10**9+7\n\ndef LI(): return list(map(int,input().split()))\ndef I(): return int(input())\ndef LS(): return input().split()\ndef S(): return input()\n\ndef main():\n n,a,b=LI()\n\n if (b-a)%2==0:\n return 'Alice'\n else:\n return 'Borys'\n\nprint(main())"]
['Wrong Answer', 'Accepted']
['s217247534', 's498435041']
[2940.0, 6432.0]
[17.0, 55.0]
[121, 381]
p03463
u948374595
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n, a, b = map(int, input().split())\nturn = 0\nwhile True: \n if turn == 0:\n if a + 1 < b:\n a += 1\n print('a', a)\n elif 0 < a :\n a -= 1\n print('a', a)\n else:\n break\n turn = 1\n elif turn == 1:\n if a + 1 < b:\n b -= 1\n print('b', b)\n elif a + 1 == b and b != n:\n b += 1\n print('b', b)\n else:\n break\n turn = 0\n\nif turn == 0:\n print('Borys')\nelse:\n print('Alice')\n", "n, a, b = map(int, input().split())\nturn = 0\nwhile True: \n if turn == 0:\n if a + 1 < b:\n a += 1\n elif 0 < a :\n a -= 1\n else:\n break\n turn = 1\n elif turn == 1:\n if a + 1 < b:\n b -= 1\n elif a + 1 == b and b != n:\n b += 1\n else:\n break\n turn = 0\n\nif turn == 0:\n print('Borys')\nelse:\n print('Alice')\n"]
['Wrong Answer', 'Accepted']
['s211594368', 's657028015']
[3316.0, 3060.0]
[21.0, 17.0]
[434, 354]
p03463
u969708690
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
['N,A,B=map(int,input().split())\nif (A-B)%2==0:\n print("Borys")\nelse:\n print("Alice")', 'N,A,B=map(int,input().split())\nif (A-B)%2==1:\n print("Borys")\nelse:\n print("Alice")']
['Wrong Answer', 'Accepted']
['s074146404', 's065426357']
[9088.0, 9168.0]
[28.0, 29.0]
[85, 85]
p03463
u970197315
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["N,A,B = map(int,input().split())\n\nD = B - A\n\nif N%2 == 1:\n if D%2 == 1:\n print('Borys')\n elif D%2 == 0:\n print('Draw')\nelif N%2 == 1:\n print('Alice')", "N,A,B = map(int,input().split())\n\nD = B - A\n\nif N%2 == 1:\n if D%2 == 1:\n print('Borys')\n elif D%2 == 0:\n print('Draw')\nelif N%2 == 0:\n print('Alice')", "# A - Move and Win\nn,a,b=map(int,input().split())\nif (b-a)%2==0:\n print('Alice')\nelse:\n print('Borys')"]
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s202433315', 's498578864', 's156573040']
[2940.0, 2940.0, 2940.0]
[17.0, 18.0, 17.0]
[173, 173, 108]
p03463
u970809473
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["n,a,b = map(int, input().split())\nif n == 2:\n print('Draw')\nelif (a - b) % 2 == 1:\n print('Alice')\nelse:\n print('Borys')", "n,a,b = map(int, input().split())\nif n == 2:\n print('Borys')\nelif a == 1 and b == 2:\n print('Borys')\nelif (a - b) % 2 == 0:\n print('Alice')\nelse:\n print('Borys')"]
['Wrong Answer', 'Accepted']
['s361030802', 's647492321']
[2940.0, 3064.0]
[17.0, 18.0]
[123, 165]
p03463
u983853152
1,000
524,288
A game is played on a strip consisting of N cells consecutively numbered from 1 to N. Alice has her token on cell A. Borys has his token on a different cell B. Players take turns, Alice moves first. The moving player must shift his or her token from its current cell X to the neighboring cell on the left, cell X-1, or on the right, cell X+1. Note that it's disallowed to move the token outside the strip or to the cell with the other player's token. In one turn, the token of the moving player must be shifted exactly once. The player who can't make a move loses, and the other player wins. Both players want to win. Who wins if they play optimally?
["\ndef main():\n N,A,B = map(int, input().split()) \n while True:\n if(A+1==B):\n print('Borys')\n return\n A = A+1\n if(B-1==A):\n print('Alicce')\n return\n B = B-1\n\n\nif __name__ == '__main__':\n main()\n", "\ndef main():\n N,A,B = map(int, input().split()) \n while True:\n if(A+1==B):\n print('Borys')\n return\n A = A+1\n if(B-1==A):\n print('Alice')\n return\n B = B-1\n\n\nif __name__ == '__main__':\n main()\n"]
['Wrong Answer', 'Accepted']
['s608627598', 's795174575']
[3068.0, 2940.0]
[17.0, 17.0]
[274, 273]
p03464
u037430802
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['\n\n\n\nK = int(input())\n\nA = list(map(int, input().split()))\n\nif K == 1:\n print(2,3)\n exit()\n\nif A[-1] != 2:\n print(-1)\n exit()\n\nbig = 2\nsmall = 2\nfor i in reversed(range(K)):\n\n\n\n if A[i] < small:\n t_small = (small // A[i] + 1) * A[i]\n else:\n t_small = A[i]\n\n big = (big // A[i] + 1) * A[i] - 1\n \n if big < small:\n print(-1)\n exit()\n\n\nprint(small, big)\n', 'N = int(input())\nA = list(map(int, input().split()))\n\nif A[-1] > 2:\n print(-1)\n exit()\n\n\n\n\nHI = 2\nLO = 2\nfor i in range(N):\n \n if LO // A[N-i-1] > 0:\n if LO % A[N-i-1] > 0:\n nxt_LO = (LO // A[N-i-1] + 1) * A[N-i-1]\n else:\n nxt_LO = LO\n else:\n nxt_LO = A[N-i-1]\n\n \n \n nxt_HI = (HI // A[N-i-1]) * A[N-i-1] + (A[N-i-1] - 1)\n\n if HI > nxt_HI or LO > nxt_LO or nxt_HI < nxt_LO:\n print(-1)\n exit()\n\n LO = nxt_LO\n HI = nxt_HI\n\nprint(LO, HI)']
['Wrong Answer', 'Accepted']
['s089383083', 's604309102']
[14224.0, 14228.0]
[93.0, 204.0]
[405, 1988]
p03464
u057079894
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['n=int(input())\nda=list(map(int ,input().split()))\nMin=2\nMax=2\nju=True\nfor i in da[::-1]:\n mi=(Min+i-1)//i\n ma=Max//i\n if mi*i>Max or ma*i<Min:\n ju=False\n break\n Min=mi*i\n Max=ma*i+i-1\nif ju:\n print(Max,Min)\nelse:\n print(-1)', 'n=int(input())\nda=list(map(int ,input().split()))\nMin=2\nMax=2\nju=True\nfor i in da[::-1]:\n mi=(Min+i-1)//i\n ma=Max//i\n if mi*i>Max or ma*i<Min:\n ju=False\n break\n Min=mi*i\n Max=ma*i+i-1\nif ju:\n print(Min,Max)\nelse:\n print(-1)\n']
['Wrong Answer', 'Accepted']
['s912759978', 's306814386']
[14252.0, 14252.0]
[119.0, 121.0]
[258, 259]
p03464
u057463552
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['import sys\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\n\n"""max"""\nfor i in range(0,K-1):\n drop_num = []\n for j in range(0,A[i]): \n if ( jmax + j ) % A[i+1] == 0:\n drop_num.append(j)\n\n if drop_num == []: \n print(-1)\n sys.exit()\n\n max_drop = max(drop_num)\n jmax = jmax + max_drop\n\njmax = jmax + A[K-1] -1\n\n\n"""min"""\nfor i in range(0,K-1):\n drop_num = []\n for j in range(0,A[i]): \n if ( jmin + j ) % A[i+1] == 0:\n drop_num.append(j)\n\n if drop_num == []: \n print(-1)\n sys.exit()\n\n min_drop = min(drop_num)\n jmin = jmin + min_drop\n\n\nprint(jmin, jmax)', 'import sys\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n#print(A)\n\nfor h in range(0,K):\n if A[h] <= A[h+1]:\n print(-1)\n sys.exit()\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\n\n\nfor i in range(0,K-1): \n drop_num = []\n for j in range(0,A[i]): \n if ( jmax + j ) % A[i+1] == 0:\n drop_num.append(j)\n if ( jmin + j ) % A[i+1] == 0:\n drop_num.append(j)\n if drop_num == []: \n print(-1)\n sys.exit()\n max_drop = max(drop_num)\n jmax = jmax + max_drop\n min_drop = min(drop_num)\n jmin = jmin + min_drop\n\n\njmax = jmax + A[K-1] -1\n\nprint(jmin, jmax)\n', 'import sys\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n#print(A)\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\n"""max"""\nfor i in range(0,K-1): \n drop_num = []\n for j in range(0,A[i]): \n if ( jmax + j ) % A[i+1] == 0:\n #print(j)\n drop_num.append(j)\n print(drop_num)\n\n if drop_num == []: \n print(-1)\n sys.exit()\n\n max_drop = max(drop_num)\n jmax = jmax + max_drop\n\n\njmax = jmax + A[K-1] -1\n\n\n"""min"""\nfor i in range(0,K-1):\n drop_num = []\n for j in range(0,A[i]): \n if ( jmin + j ) % A[i+1] == 0:\n drop_num.append(j)\n\n if drop_num == []: \n print(-1)\n sys.exit()\n\n min_drop = min(drop_num)\n jmin = jmin + min_drop\n\n\n\nprint(jmin, jmax)\n', 'from math import floor,ceil\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nfor i in range(0,K):\n if jmin % A[i] != 0:\n if (jmin + (A[i] - (jmin % A[i]))) > jmin:\n print(-1)\n exit()\n\n jmin = ceil(jmin / A[i]) * A[i]\n jmax = floor(jmax / A[i]) * A[i] + A[i] -1\n\nprint(jmin, jmax)\n\n', 'import sys\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\nfor i in range(0,K-1): \n Round = list(range(jmin,jmax+1))\n decide = [Round[h] % A[i] for h in range(len(Round))]\n if not(0 in decide):\n print(-1)\n sys.exit()\n jmin = (int(jmin/A[i])+1)*A[i]\n jmax = (int(jmax/A[i]))*A[i] +A[i]-1\n\njmax = jmax + A[K-1] -1\n\nprint(jmin, jmax)\n', 'import sys\nimport math\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\nfor i in range(0,K-1): \n Round = list(range(jmin,jmax+1))\n decide = [Round[h] % A[i] for h in range(len(Round))]\n if not(0 in decide):\n print(-1)\n sys.exit()\n jmin = (math.ceil(jmin / A[i])) * A[i]\n jmax = (math.floor(jmax / A[i])) * A[i] + A[i] -1\n\njmax = jmax + A[K-1] -1\n\nprint(jmin, jmax)\n', 'import sys\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nif A[0] != 2:\n print(-1)\n sys.exit()\n\nfor i in range(0,K-1): \n Round = list(range(jmin,jmax+1))\n if not(0 in Round % A[i]):\n print(-1)\n sys.exit()\n jmin = (int(jmin/A[i])+1)*A[i]\n jmax = (int(jmax/A[i]))*A[i] +A[i]-1\n\njmax = jmax + A[K-1] -1\n\nprint(jmin, jmax)\n', 'from math import floor,ceil\nK = int(input())\nA = [int(x) for x in input().split()]\nA.reverse()\njmax, jmin = 2,2\n\nfor i in range(0,K):\n if jmin % A[i] != 0:\n if (jmin + (A[i] - (jmin % A[i]))) > jmax:\n print(-1)\n exit()\n\n jmin = ceil(jmin / A[i]) * A[i]\n jmax = floor(jmax / A[i]) * A[i] + A[i] -1\n \nprint(jmin, jmax)\n\n\n ']
['Wrong Answer', 'Runtime Error', 'Wrong Answer', 'Wrong Answer', 'Wrong Answer', 'Wrong Answer', 'Runtime Error', 'Accepted']
['s044443262', 's165780116', 's226492967', 's410185160', 's414464354', 's554810574', 's687570691', 's400232007']
[14228.0, 14868.0, 14232.0, 14252.0, 14428.0, 594748.0, 14400.0, 14252.0]
[323.0, 48.0, 2104.0, 128.0, 46.0, 2134.0, 46.0, 180.0]
[1005, 873, 1119, 389, 523, 556, 471, 398]
p03464
u071680334
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['from fractions import gcd\ndef calc(n, N, p, q):\n n, N = n*q//gcd(n, q), N*q//gcd(N, q)\n L, R = 0, 10**9\n while L+1 < R:\n M = (L+R)//2\n if n <= p*M:\n R = M\n else:\n L = M\n if n+(q-1) < p*R:\n n = -1\n else:\n n = p*R\n L, R = 0, 10**9\n while L+1 < R:\n M = (L+R)//2\n if N+q <= p*M:\n R = M\n else:\n L = M\n if p*L < N:\n N = -1\n else:\n N = p*L\n return n, N\n\ndef main():\n k = int(input())\n a = list(map(int, input().split()))\n f = True\n M, m = 2, 2\n if 2 < a[-1]:\n f = False\n else:\n for i in reversed(range(1, k)):\n m, M = calc(m, M, a[i-1], a[i])\n if m == -1 or M == -1:\n f = False\n break\n M += a[0]-1\n if f:\n print(m, M)\n else:\n print(-1)\n\nif __name__ == "__main__":\n main()', 'def calc(n, N, x):\n m, M = -1, -1\n L, R = 0, 10**13\n while L+1 < R:\n P = (L+R)//2\n if n <= x*P:\n R = P\n else:\n L = P\n if n <= x*R <= N:\n m = x*R\n L, R = 0, 10**13\n while L+1 < R:\n P = (L+R)//2\n if N < x*P:\n R = P\n else:\n L = P\n if n <= x*L <= N:\n M = x*L + (x-1)\n return m, M\n\ndef main():\n k = int(input())\n a = list(map(int, input().split()))\n f = True\n m, M = 2, 2\n for i in reversed(range(k)):\n m, M = calc(m, M, a[i])\n if m == -1 or M == -1:\n f = False\n break\n if f:\n print(m, M)\n else:\n print(-1)\n\nif __name__ == "__main__":\n main()']
['Wrong Answer', 'Accepted']
['s506609499', 's333438749']
[16240.0, 14428.0]
[1479.0, 1950.0]
[922, 735]
p03464
u077291787
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['# AGC020B - Ice Rink Game\ndef main():\n K, *A = map(int, open(0).read().split())\n l, h = 2, 2 # low, high\n for i in A[::-1]:\n l = (l + i - 1) // i * i\n h = (h / i + 1) * i - 1\n if l > h:\n print(-1)\n else:\n print(l, h)\n\n\nif __name__ == "__main__":\n main()', '# AGC020B - Ice Rink Game\ndef main():\n K, *A = map(int, open(0).read().split())\n l, h = 2, 2 # low, high\n for i in A[::-1]:\n l += -l % i\n h += i - 1 - h % i\n if l > h:\n print(-1)\n else:\n print(l, h)\n\n\nif __name__ == "__main__":\n main()']
['Wrong Answer', 'Accepted']
['s684913041', 's749941888']
[14092.0, 14092.0]
[99.0, 74.0]
[300, 282]
p03464
u201234972
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K = int( input())\nA = list( map( int, input().split()))\nnowm = 2\nnowM = 2\nans = 0\nfor i in range(K-1,-1,-1):\n if nowM < A[i]:\n ans = -1\n break\n elif nowm <= A[i]:\n nowm = A[i]\n nowM = A[i]*2 - 1\n else:\n nowm = (nowm//A[i]+1)*A[i]\n if nowm > nowM:\n ans = -1\n break\n nowM += A[i] -1\n # nowM = (nowM//A[i]+1)*A[i] - 1\n # if nowm >= nowM:\n # nowM = nowm + A[i] -1\nif ans == -1:\n print( -1)\nelse:\n print("{} {}".format(nowm, nowM))\n\n', 'K = int( input())\nA = list( map( int, input().split()))\nnowm = 2\nnowM = 2\nans = 0\nfor i in range(K-1,-1,-1):\n a = A[i]\n if nowm <= ((nowm+a-1)//a)*a and ((nowm+a-1)//a)*a <= nowM:\n nowm = ((nowm+a-1)//a)*a\n nowM = (nowM//a)*a + a - 1\n else:\n ans = -1\n break\n print(nowm, nowM)\n # if nowM < A[i]:\n # ans = -1\n # break\n # elif nowm <= A[i]:\n # nowm = A[i]\n # nowM = A[i]*2 - 1\n # else:\n # M = nowM\n # nowm = (nowm//A[i]+1)*A[i]\n # if nowm > M:\n # ans = -1\n # break\n # if (nowM//A[i]+1)*A[i] <= M:\n # nowM = (nowM//A[i]+1)*A[i] - 1\n # if nowM < nowm:\n # nowM = nowm + A[i] - 1\n # else:\n # nowM = nowm + A[i] - 1\nif ans == -1:\n print( -1)\nelse:\n print("{} {}".format(nowm, nowM))\n', 'K = int( input())\nA = list( map( int, input().split()))\nnowm = 2\nnowM = 2\nans = 0\nfor i in range(K-1,-1,-1):\n if nowM < A[i]:\n ans = -1\n break\n elif nowm <= A[i]:\n nowm = A[i]\n nowM = A[i]*2 - 1\n else:\n nowm = (nowm//A[i]+1)*A[i]\n nowM = (nowM//A[i]+1)*A[i] - 1\n if nowm > nowM:\n nowM = nowm + A[i] -1\n print(nowm, nowM)\nif ans == -1:\n print( -1)\nelse:\n print("{} {}".format(nowm, nowM))\n', 'K = int( input())\nA = list( map( int, input().split()))\nnowm = 2\nnowM = 2\nans = 0\nfor i in range(K-1,-1,-1):\n a = A[i]\n if nowm <= ((nowm+a-1)//a)*a and ((nowm+a-1)//a)*a <= nowM:\n nowm = ((nowm+a-1)//a)*a\n nowM = (nowM//a)*a + a - 1\n else:\n ans = -1\n break\n # if nowM < A[i]:\n # ans = -1\n # break\n # elif nowm <= A[i]:\n # nowm = A[i]\n # nowM = A[i]*2 - 1\n # else:\n # M = nowM\n # nowm = (nowm//A[i]+1)*A[i]\n # if nowm > M:\n # ans = -1\n # break\n # if (nowM//A[i]+1)*A[i] <= M:\n # nowM = (nowM//A[i]+1)*A[i] - 1\n # if nowM < nowm:\n # nowM = nowm + A[i] - 1\n # else:\n # nowM = nowm + A[i] - 1\nif ans == -1:\n print( -1)\nelse:\n print("{} {}".format(nowm, nowM))']
['Wrong Answer', 'Wrong Answer', 'Wrong Answer', 'Accepted']
['s123720490', 's269887924', 's933508655', 's915194730']
[14252.0, 14224.0, 14436.0, 14224.0]
[111.0, 288.0, 269.0, 165.0]
[539, 864, 466, 841]
p03464
u257974487
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['N = int(input())\nP = list(reversed(list(map(int, input().split()))))\n\ns, t = 2, 2\nfor i in P:\n p = max((s + i - 1) // i, 1)\n q = t // i\n print(i)\n if q < p:\n print(-1)\n quit(0)\n s, t = p * i, q * i + i - 1\n\nprint(s, t)\n', 'N = int(input())\nops = list(input().split())\nP = []\np = 0\nx = 1\nfor s in range(N-1, -1, -1):\n P.append(int(ops[s]))\nans = int(ops[N-1])\nprint(P)\nfor i in range(N-1):\n if P[i] > P[i+1]:\n p = P[i] % P[i+1]\n ans += p\n elif (P[i] * 2) > P[i+1]:\n p = (P[i] * 2) % P[i+1]\n ans += p\n else:\n ans = -1\n break\n\nif ans != -1:\n if ans % P[N-1] != 0:\n ans -= ans % P[N-1]\n while ans < max(P):\n ans += P[N-1] \n ans2 = ans + P[N-1] -1\n print(str(ans) + " " +str(ans2))\nelse:\n print(ans)', 'N = int(input())\nP = list(reversed(list(map(int, input().split()))))\n\ns, t = 2, 2\nfor i in P:\n p = max((s + i - 1) // i, 1)\n q = t // i\n if q < p:\n print(-1)\n quit(0)\n s, t = p * i, q * i + i - 1\n\nprint(s, t)\n']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s165632546', 's722299652', 's360158568']
[14252.0, 18956.0, 14224.0]
[213.0, 136.0, 127.0]
[248, 565, 235]
p03464
u284854859
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["k = int(input())\na = list(map(int,input().split()))\na = a[::-1]\n\nc = 2 #min\nd = 2 #max\nres = 1 \n\nfor i in range(k):\n if d > a[i]:\n res = -1\n break\n if i != k-1:\n if c % a[i] != 0 or d % a[i] != 0:\n res = -1\n break\n else:\n d = d + a[i] -1\n p = c%a[i+1]\n q = d%a[i+1]\n if p == 0:\n c2 = c\n else:\n c2 = c + a[i+1]-p\n d2 = d-q\n \n if c2 <= d2:\n c = c2\n d = d2\n else:\n res = -1\n break\n else:\n d = d + a[i] -1\n \n \n \n \nif res == -1:\n print(-1)\nelse:\n print(str(c) + ' ' + str(d))", 'k = int(input())\na = list(map(int,input().split()))\n\n\ndef g(n,a,k):\n for i in range(k):\n n = n - (n%a[i])\n return n\n\n#print(g(8,a,k))\n\ns = 0\nt = 2 + k*max(a)\nwhile t-s > 1:\n m = (s+t)//2\n if g(m,a,k)> 2:\n t = m\n else:\n s = m\n \np = 0\nq = 2+k*max(a)\nwhile q-p > 1:\n m = (p+q)//2\n if g(m,a,k) >= 2:\n q = m\n else:\n p = m\n\nc = 1\nif g(s,a,k) == 2:\n res = s\nelif g(t,a,k) == 2:\n res = t\nelse:\n c = -1\n\nif g(q,a,k) == 2:\n res2 = q\nelif g(p,a,k) == 2:\n res2 = p\nelse:\n c = -1\n\nif c == 1:\n print(res2,res)\nelse:\n print(-1)']
['Wrong Answer', 'Accepted']
['s938761345', 's061195139']
[14428.0, 14400.0]
[171.0, 1478.0]
[762, 651]
p03464
u315485238
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K = int(input())\nA = list(map(int, input().split()))\n\ndef winner_count(N, A=A):\n for a in A:\n N = a*(N//a)\n return N\n\nclass lazy_eval_list(list):\n def __init__(self, func, a):\n super().__init__(a)\n self._func = func\n \n def __getitem__(self, key):\n return self._func(super().__getitem__(key))\n\nlazy_winner_count_N = lazy_eval_list(winner_count, range(1,2+sum(A)))\n\nimport bisect\n_min = bisect.bisect_left(lazy_winner_count_N, 2)\n_max = bisect.bisect_right(lazy_winner_count_N, 2)-1\n\nif _min > _max:\n\tprint(-1)\nelse:\n\tprint(_min, _max)', 'K = int(input())\nA = list(map(int, input().split()))\n\n_min=2\n_max=2\n\nfor a in A[::-1]:\n \n if _min%a:\n if a*(_min//a) + a > _max:\n print(-1)\n break\n else:\n _min = a*(_min//a) + a\n else:\n _min = _min\n \n _max = a*(_max//a) + a-1\nelse:\n print(_min, _max)']
['Runtime Error', 'Accepted']
['s066745497', 's108621790']
[14224.0, 14252.0]
[325.0, 129.0]
[580, 340]
p03464
u333945892
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["from collections import defaultdict,deque\nimport sys,heapq,bisect,math,itertools,string,queue,datetime\nsys.setrecursionlimit(10**8)\nINF = float('inf')\nmod = 10**9+7\ndef inpl(): return list(map(int, input().split()))\ndef inpls(): return list(input().split())\n\nK = int(input())\naa = reversed(inpl())\n\nMIN = MAX = 2\nfor a in aa:\n print(a,MIN,MAX)\n if MIN%a == 0 or MAX//a - MIN//a > 0:\n MIN = ((MIN-1)//a+1) *a\n MAX = MAX//a*a+a-1\n else:\n print(-1)\n sys.exit()\n\nprint(MIN,MAX)\n", "from collections import defaultdict,deque\nimport sys,heapq,bisect,math,itertools,string,queue,datetime\nsys.setrecursionlimit(10**8)\nINF = float('inf')\nmod = 10**9+7\ndef inpl(): return list(map(int, input().split()))\ndef inpls(): return list(input().split())\n\nK = int(input())\naa = reversed(inpl())\n\nMIN = MAX = 2\nfor a in aa:\n if MIN%a == 0 or MAX//a - MIN//a > 0:\n MIN = ((MIN-1)//a+1) *a\n MAX = MAX//a*a+a-1\n else:\n print(-1)\n sys.exit()\n\nprint(MIN,MAX)\n"]
['Wrong Answer', 'Accepted']
['s763874905', 's536464917']
[15596.0, 15600.0]
[326.0, 143.0]
[511, 490]
p03464
u346308892
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['\nimport numpy as np\nimport sys\nsys.setrecursionlimit(100000)\n\n\n\ndef acinput():\n return list(map(int, input().split(" ")))\n\n\n\ndirections=np.array([[1,0],[0,1],[-1,0],[0,-1]])\ndirections = list(map(np.array, directions))\n\nmod = 10**9+7\n\n\ndef factorial(n):\n fact = 1\n for integer in range(1, n + 1):\n fact *= integer\n return fact\n\n\n\ndef serch(x, count):\n #print("top", x, count)\n \n\n for d in directions:\n nx = d+x\n #print(nx)\n if np.all(0 <= nx) and np.all(nx < (H, W)):\n if field[nx[0]][nx[1]] == "E":\n count += 1 \n field[nx[0]][nx[1]] = "V"\n count = serch(nx, count) \n continue\n if field[nx[0]][nx[1]] == "#":\n field[nx[0]][nx[1]] = "V"\n count = serch(nx, count) \n \n return count\n\ndef f(x):\n for i in range(K):\n x = x-x % A[i]\n return x\n\ndef bisect_search(f,val=0,l=0,r=10**6):\n\n #is_increase=(f(r)-f(l))>=0\n\n eps=10**(-5)\n while True:\n\n c=(l+r)//2\n print(l,c,r)\n input()\n if f(c)==val and f(c-1)!=val:\n return c\n #if f(c)-val < eps:\n # return c\n\n if f(c)>val:\n r=c\n\n else:\n l=c\n \n if l==r:\n return False\n\ndef bisect_search_int(f,val=0,l=0,r=10**6,equal=False):\n #is_increase=(f(r)-f(l))>=0\n \n eps=10**(-5)\n if not equal:\n siki = "f(c) > val"\n else:\n siki = "f(c) >= val"\n\n while r-l>1:\n\n c=(l+r)//2\n \n if eval(siki,{"c":c,"f":f,"val":val}):\n r=c \n else:\n l=c\n \n #if l==r:\n # return False\n if f(l)!= f(c) and f(r)!=f(c):\n return False\n return l,r\n\n\n\nK=int(input())\nA=acinput()\n\nr = 2+K*max(A)\n\nl,r=bisect_search_int(f, 2,0,r,equal=True)\nif f(l)==2:\n resL=l\nelif f(r)==2:\n resL=r\nelse:\n resL=False\n\nl, r = bisect_search_int(f, 2,0,r,equal=False)\nif f(l) == 2:\n resR = l\nelif f(r) == 2:\n resR = r\nelse:\n resR = False\n\nif resL and resR:\n print(resL,resR)\nelse:\n print(-1)\n\n\n#for x in range(0,20):\n# print(x,f(x))\n', '\nimport numpy as np\nimport sys\nsys.setrecursionlimit(100000)\n\n\n\ndef acinput():\n return list(map(int, input().split(" ")))\n\n\n\ndirections=np.array([[1,0],[0,1],[-1,0],[0,-1]])\ndirections = list(map(np.array, directions))\n\nmod = 10**9+7\n\n\ndef factorial(n):\n fact = 1\n for integer in range(1, n + 1):\n fact *= integer\n return fact\n\n\n\ndef serch(x, count):\n #print("top", x, count)\n \n\n for d in directions:\n nx = d+x\n #print(nx)\n if np.all(0 <= nx) and np.all(nx < (H, W)):\n if field[nx[0]][nx[1]] == "E":\n count += 1 \n field[nx[0]][nx[1]] = "V"\n count = serch(nx, count) \n continue\n if field[nx[0]][nx[1]] == "#":\n field[nx[0]][nx[1]] = "V"\n count = serch(nx, count) \n \n return count\n\ndef f(x):\n for i in range(K):\n x = x-x % A[i]\n return x\n\ndef bisect_search(f,val=0,l=0,r=10**6):\n\n #is_increase=(f(r)-f(l))>=0\n\n eps=10**(-5)\n while True:\n\n c=(l+r)//2\n print(l,c,r)\n input()\n if f(c)==val and f(c-1)!=val:\n return c\n #if f(c)-val < eps:\n # return c\n\n if f(c)>val:\n r=c\n\n else:\n l=c\n \n if l==r:\n return False\n\ndef bisect_search_int(f,val=0,l=0,r=10**6,equal=False):\n #is_increase=(f(r)-f(l))>=0\n \n eps=10**(-5)\n if not equal:\n siki = "f(c) > val"\n else:\n siki = "f(c) >= val"\n\n while r-l>1:\n\n c=(l+r)//2\n \n if eval(siki,{"c":c,"f":f,"val":val}):\n r=c \n else:\n l=c\n \n #if l==r:\n # return False\n if f(l)!= f(c) and f(r)!=f(c):\n return False\n return l,r\n\n\n\nK=int(input())\nA=acinput()\n\nR = 2+K*max(A)\n#R=10**6\n\nl,r=bisect_search_int(f, 2,0,R,equal=True)\nif f(l)==2:\n resL=l\nelif f(r)==2:\n resL=r\nelse:\n resL=-1\n\nl, r = bisect_search_int(f, 2,0,R,equal=False)\n#print(l,r,f(l),f(r))\nif f(l) == 2:\n resR = l\nelif f(r) == 2:\n resR = r\nelse:\n resR = -1\n\nif resL>=0:\n print(resL,resR)\nelse:\n print(-1)\n\n\n#for x in range(0,20):\n# print(x,f(x))\n']
['Wrong Answer', 'Accepted']
['s181222655', 's085418107']
[23400.0, 23992.0]
[1715.0, 1789.0]
[2197, 2216]
p03464
u346812984
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['import sys\nimport math\n\nsys.setrecursionlimit(10 ** 6)\nINF = float("inf")\nMOD = 10 ** 9 + 7\n\n\ndef input():\n return sys.stdin.readline().strip()\n\n\ndef main():\n K = int(input())\n A = list(map(int, input().split()))\n\n if A[-1] != 2:\n print(-1)\n return\n\n \n m = 2\n M = 2\n for i in range(K - 2, -1, -1):\n n = (m + A[i] - 1) // A[i]\n tmp_m = n * A[i]\n tmp_M = (n + 1) * A[i] - 1\n if tmp_m > M or tmp_M < m:\n print(-1)\n return\n m = tmp_m\n M = tmp_M\n\n print(m, M)\n\n\nif __name__ == "__main__":\n main()\n', 'import sys\nimport math\n\nsys.setrecursionlimit(10 ** 6)\nINF = float("inf")\nMOD = 10 ** 9 + 7\n\n\ndef input():\n return sys.stdin.readline().strip()\n\n\ndef main():\n K = int(input())\n A = list(map(int, input().split()))\n\n \n m = 2\n M = 2\n for i in range(K - 1, -1, -1):\n n = (m + A[i] - 1) // A[i]\n tmp_m = n * A[i]\n tmp_M = (M / A[i]) * A[i] + A[i] - 1\n if tmp_m > M or tmp_M < m:\n print(-1)\n return\n m = tmp_m\n M = tmp_M\n\n print(m, M)\n\n\nif __name__ == "__main__":\n main()\n', 'import sys\nimport math\n\nsys.setrecursionlimit(10 ** 6)\nINF = float("inf")\nMOD = 10 ** 9 + 7\n\n\ndef input():\n return sys.stdin.readline().strip()\n\n\ndef main():\n K = int(input())\n A = list(map(int, input().split()))\n\n \n m = 2\n M = 2\n for i in range(K - 1, -1, -1):\n n = (m + A[i] - 1) // A[i]\n tmp_m = n * A[i]\n tmp_M = (M // A[i]) * A[i] + A[i] - 1\n if tmp_m > M or tmp_M < m:\n print(-1)\n return\n m = tmp_m\n M = tmp_M\n\n print(m, M)\n\n\nif __name__ == "__main__":\n main()\n']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s117653891', 's182638542', 's454242174']
[15020.0, 15020.0, 15020.0]
[65.0, 124.0, 99.0]
[645, 602, 603]
p03464
u375616706
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['# python template for atcoder1\nimport sys\nsys.setrecursionlimit(10**9)\ninput = sys.stdin.readline\n\nK = int(input())\nL = list(map(int, input().split()))\n\nma = 2\nmi = 2\nL = reversed(L)\n\nfor l in L:\n if l > ma:\n print(-1)\n exit()\n else:\n mi = (mi//l)*l\n ma = (ma//l)*(l)+l-1\nprint(mi, ma)\n', 'from math import ceil\n# python template for atcoder1\nimport sys\nsys.setrecursionlimit(10**9)\ninput = sys.stdin.readline\n\nK = int(input())\nL = list(map(int, input().split()))\n\nmaxr = 2\nminr = 2\nr = 0\nfor n in reversed(L):\n if ceil(maxr//n) > minr:\n # if any(x % n == 0 for x in range(minr, maxr+1)):\n # if minr//n <= maxr//n:\n minr = ceil(minr/n)*n\n maxr = (maxr)//n*n+n-1\n else:\n n = -1\n break\n\nif n == -1:\n print(n)\nelse:\n print(int(minr), maxr)\n', 'from math import ceil\n# python template for atcoder1\nimport sys\nsys.setrecursionlimit(10**9)\ninput = sys.stdin.readline\n\nK = int(input())\nL = list(map(int, input().split()))\n\nmaxr = 2\nminr = 2\nr = 0\nfor n in reversed(L):\n if ceil(maxr//n) >= minr:\n # if any(x % n == 0 for x in range(minr, maxr+1)):\n # if minr//n <= maxr//n:\n minr = ceil(minr/n)*n\n maxr = (maxr)//n*n+n-1\n else:\n n = -1\n break\n\nif n == -1:\n print(n)\nelse:\n print(int(minr), maxr)\n', 'from math import ceil\n# python template for atcoder1\nimport sys\nsys.setrecursionlimit(10**9)\ninput = sys.stdin.readline\n\nK = int(input())\nL = list(map(int, input().split()))\n\nmaxr = 2\nminr = 2\nr = 0\nfor n in reversed(L):\n \n if ceil(maxr//n)*n >= minr:\n minr = ceil(minr/n)*n\n maxr = (maxr)//n*n+n-1\n else:\n print(-1)\n exit()\n\nprint(int(minr), maxr)\n']
['Wrong Answer', 'Wrong Answer', 'Wrong Answer', 'Accepted']
['s321483885', 's396893579', 's677906646', 's762023353']
[14252.0, 14252.0, 14252.0, 14252.0]
[86.0, 43.0, 43.0, 135.0]
[320, 501, 502, 424]
p03464
u391475811
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K = int(input())\nA = [int(i) for i in input().split()]\nA.reverse()\n\nmin_A=2\nmax_A=3\ncnt=True\nif A[-1]!=2:\n print(-1)\n cnt=False\nfor i in range(1,K):\n a=(min_A+A[i]-1)//A[i]*A[i]\n b=max_A//A[i]*A[i]\n if a>b:\n print(-1)\n cnt=False\n break\n else:\n min_A=a\n max_A=b+A[i]-1\n\nif cnt:\n print(min_A,max_A)\n', 'K = int(input())\nA = [int(i) for i in input().split()]\nA.reverse()\n\nmin_A=2\nmax_A=3\njud=True\nfor i in range(1,K):\n if A[i]>max_A:\n print(-1)\n jud=False\n break\n if min_A>A[i]:\n cnt=2\n while True:\n if A[i]*cnt>=min_A:\n min_A=A[i]*cnt\n break\n cnt+=1\n while True:\n if A[i]*(cnt+1)-1>max_A:\n max_A=A[i]*cnt-1\n break\n cnt+=1\n else:\n min_A=A[i]\n max_A=A[i]*2-1\nif jud:\n print(min_A,max_A)', 'K = int(input())\nA = [int(i) for i in input().split()]\nA.reverse()\n\nmin_A=2\nmax_A=3\ncnt=True\nif A[0]!=2:\n print(-1)\n cnt=False\nfor i in range(1,K):\n a=(min_A+A[i]-1)//A[i]*A[i]\n b=max_A//A[i]*A[i]\n if a>b and cnt:\n print(-1)\n cnt=False\n break\n else:\n min_A=a\n max_A=b+A[i]-1\n\nif cnt:\n print(min_A,max_A)\n']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s310723144', 's581291447', 's791784922']
[14224.0, 14436.0, 14252.0]
[132.0, 2104.0, 140.0]
[319, 457, 326]
p03464
u451017206
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['from math import floor, ceil\nk = int(input())\na = [int(i) for i in input().split()]\nl,r = 2,2\nfor ai in a[::-1]:\n if l // ai >= 1 or r // ai >= 1:\n print(-1)\n exit()\n l = ceil(l/ai)*ai\n r = floor(r/ai) * ai + ai - 1\nprint(l,r)\n', 'from math import floor, ceil\nk = int(input())\na = [int(i) for i in input().split()]\nl,r = 2,2\nfor ai in a[::-1]:\n if not(l // ai >= 1 and r // ai >= 1):\n print(-1)\n exit()\n l = ceil(l/ai)*ai\n r = floor(r/ai) * ai + ai - 1\nprint(l,r)', 'from math import floor, ceil\nk = int(input())\na = [int(i) for i in input().split()]\nl,r = 2,2\nfor ai in a[::-1]:\n xi = ceil(l/ai)\n yi = floor(r/ai)\n if xi > yi:\n print(-1)\n exit()\n l = xi * ai\n r = yi * ai + ai - 1\nprint(l, r)']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s621661750', 's912186495', 's733584242']
[14252.0, 14252.0, 14252.0]
[47.0, 118.0, 134.0]
[250, 255, 255]
p03464
u497046426
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['def div_ceil(x, y): return (x + y - 1) // y\n\nN = int(input())\n*A, = map(int, input().split())\ncand_min, cand_max = 2, 2\nfor a in reversed(A):\n if a > cand_max: print(-1); break\n cand_max = (cand_max // a) * a\n cand_min = div_ceil(cand_min, a) * a\n cand_max = cand_max + a - 1\nelse:\n cand_max = (cand_max // a) * a\n print(cand_min, cand_max)', 'def div_ceil(x, y): return (x + y - 1) // y\n\nN = int(input())\n*A, = map(int, input().split())\ncand_min, cand_max = 2, 2\nfor a in reversed(A):\n if div_ceil(cand_min, a) * a > cand_max: print(-1); break\n cand_min = div_ceil(cand_min, a) * a\n cand_max = (cand_max // a) * a + a - 1\nelse:\n print(cand_min, cand_max)']
['Wrong Answer', 'Accepted']
['s265438709', 's544673463']
[14252.0, 14252.0]
[116.0, 137.0]
[358, 323]
p03464
u509368316
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K=int(input())\nA=list(map(int,input().split()))\nl,h=2,2\nfor a in A[::-1]:\n if h<a or h//a==l//a:\n l=h=-1\n break\n else:\n l=-(-l//a)*a\n h=(h//a+1)*a-1\nif l==h==-1:\n print(-1)\nelse:\n print(l,h)', 'K=int(input())\nA=list(map(int,input().split()))\nl,h=2,2\nfor a in A[::-1]:\n l=-(-l//a)*a\n h=(h//a+1)*a-1\n if l>h:\n l=h=-1\n break\nif l==h==-1:\n print(-1)\nelse:\n print(l,h)']
['Wrong Answer', 'Accepted']
['s166701034', 's475448650']
[14252.0, 14252.0]
[42.0, 100.0]
[226, 198]
p03464
u545368057
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K = int(input())\nAs = list(map(int, input().split()))\n\ndef f(n):\n for a in As:\n x,_ = divmod(n,a)\n n = x*a\n return n\n\nl,r = 1, 10**10\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) < 2:\n l = m\n else:\n r = m\nmn = r\n\nl,r = 1, 10**10\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) <= 3:\n l = m\n else:\n r = m\nmx = l\nif mn < mx:\n print(-1)\nelse:\n print(mn,mx)\n', 'n = int(input())\nAs = list(map(int, input().split()))\n \ndef f(m):\n debug = m\n for a in As:\n i = m // a\n m = i * a\n return m\n\n\nl = 1\nr = 10**5+1\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) <= 1: l = m\n else: r = m\nans1 = r\nl = 1\nr = 10**5 + 1\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) <= 2: l= m\n else: r = m\nans2 = l\n\nif ans1 >= ans2:\n print(-1)\nelse:\n print(ans1[1],ans2[0])', 'n = int(input())\nAs = list(map(int, input().split()))\n \ndef f(m):\n debug = m\n for a in As:\n i = m // a\n m = i * a\n return m\n\n\nl = 1\nr = 10**20\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) <= 1: l = m\n else: r = m\nans1 = r\nl = 1\nr = 10**20\nwhile r-l > 1:\n m = (r+l)//2\n if f(m) <= 2: l= m\n else: r = m\nans2 = l\n\nif ans1 > ans2:\n print(-1)\nelse:\n print(ans1,ans2)']
['Wrong Answer', 'Runtime Error', 'Accepted']
['s252129542', 's880351896', 's023054022']
[20264.0, 20508.0, 20492.0]
[724.0, 201.0, 1364.0]
[409, 430, 419]
p03464
u619819312
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['k=int(input())\na=list(map(int,input().split()))\ndef f(x):\n for i in range(k):\n x-=x%a[i]\n return x\ns=k*max(a)+3\nt=0\nwhile s-t>1:\n x=(s+t)//2\n if f(x)>2:\n s=x\n else:\n t=x\np=k*max(a)+3\nq=0\nwhile p-q>1:\n x=(p+q)//2\n if f(x)>=2:\n q=x\n else:\n p=x\nif f(t)==2:\n if f(q)==2:\n print(q,t)\n else:\n print(-1)\nelse:\n print(-1)\nprint(f(p))', 'k=int(input())\na=list(map(int,input().split()))\ns=2+k*max(a)\nl,r=s+1,0\nwhile l-r>1:\n t=(l+r)//2\n p=t\n for i in a:\n t-=t%i\n if t>=2:\n l=p\n else:\n r=p\ne=l\nl,r=s+1,0\nwhile l-r>1:\n t=(l+r)//2\n p=t\n for i in a:\n t-=t%i\n if t>2:\n l=p\n else:\n r=p\nprint(str(max(e,2))+" "+str(r)if r>e or r<2 else -1)']
['Wrong Answer', 'Accepted']
['s889631839', 's100184467']
[14428.0, 14428.0]
[1696.0, 1836.0]
[407, 364]
p03464
u636684559
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["K=int(input())\nA=input().split(' ')\nmin=2\nmax=2\nflag=0\nwhile K>0:\n K=K-1\n i=int(A[K])\n if max<i:\n print('-1')\n flag=1\n break\n else:\n min=min+i-(min%i)\n max=max+i-(max%i)-1\nif flag==0:\n print('{0} {1}'.format(min,max))", "K=int(input())\nA=input().split(' ')\nmin=2\nmax=2\nflag=0\nwhile K>0:\n K=K-1\n i=int(A[K])\n if max<i:\n print('-1')\n flag=1\n break\n elif i<min:\n if min%i!=0:min=min+i-(min%i)\n else:min=min+(min%i)\n max=max+i-(max%i)-1\n if min>max:\n print('-1')\n flag=1\n break\n else:\n min=i\n max=max+i-(max%i)-1\nif flag==0:\n print('{0} {1}'.format(min,max))"]
['Wrong Answer', 'Accepted']
['s644235940', 's183307814']
[11980.0, 13100.0]
[115.0, 151.0]
[237, 381]
p03464
u637175065
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools\n\nsys.setrecursionlimit(10**7)\ninf = 10**20\neps = 1.0 / 10**15\nmod = 10**9+7\n\ndef LI(): return [int(x) for x in sys.stdin.readline().split()]\ndef LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]\ndef LF(): return [float(x) for x in sys.stdin.readline().split()]\ndef LS(): return sys.stdin.readline().split()\ndef I(): return int(sys.stdin.readline())\ndef F(): return float(sys.stdin.readline())\ndef S(): return input()\ndef pf(s): return print(s, flush=True)\n\n\ndef main():\n n = I()\n a = LI() + [1]\n if a[-1] != 2:\n return -1\n b = 2\n c = 4\n for i in range(n-1,-1,-1):\n t = a[i]\n if b * 2 <= t:\n return -1\n if b % t == 0:\n pass\n elif b > t:\n b += t-b%t\n if b % t != 0:\n return 1/0\n else:\n b = t\n if c % t == 0:\n pass\n elif c > t:\n c += t-c%t\n else:\n return -1\n\n return '{} {}'.format(b, c-1)\n\nprint(main())\n\n\n", "import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools\n\nsys.setrecursionlimit(10**7)\ninf = 10**20\neps = 1.0 / 10**15\nmod = 10**9+7\n\ndef LI(): return [int(x) for x in sys.stdin.readline().split()]\ndef LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]\ndef LF(): return [float(x) for x in sys.stdin.readline().split()]\ndef LS(): return sys.stdin.readline().split()\ndef I(): return int(sys.stdin.readline())\ndef F(): return float(sys.stdin.readline())\ndef S(): return input()\ndef pf(s): return print(s, flush=True)\n\n\ndef bs(f, mi, ma):\n mm = -1\n while ma > mi:\n mm = (ma+mi) // 2\n if f(mm):\n mi = mm + 1\n else:\n ma = mm\n if f(mm):\n return mm + 1\n return mm\n\ndef main():\n n = I()\n a = LI()\n\n def f(i):\n for c in a:\n i -= i%c\n return i < 2\n\n def g(i):\n for c in a:\n i -= i%c\n return i <= 2\n\n mi = bs(f,0,sum(a)+3)\n ma = bs(g,0,sum(a)+3) - 1\n if mi <= ma:\n return '{} {}'.format(mi,ma)\n return -1\n\n\n\n\nprint(main())\n\n\n"]
['Wrong Answer', 'Accepted']
['s344703394', 's786226372']
[16652.0, 16644.0]
[68.0, 1073.0]
[1108, 1161]
p03464
u665415433
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["K = int(input())\nA = list(map(int,input().split()))\na = K-1\np = 2\nwhile 0 <= a:\n if A[a-1] > A[a]*2:\n print('-1')\n exit()\n num = 1\n if A[a] < p:\n while A[a]*num < p:\n num += 1\n p = num*A[a]\n a -= 1\npmax = p\nwhile pmax < A[1]*2:\n pmax += A[0]\npmax -= A[0]\nprint(p,pmax)\n", "import math\nK = int(input())\nA = list(map(int,input().split()))\na = 1\nL,S = 2,2 \n\nwhile a <= K:\n if math.ceil(S/A[-a])*A[-a] < S or L < math.ceil(S/A[-a])*A[-a]:\n print('-1')\n exit()\n S = math.ceil(S/A[-a])*A[-a]\n L = math.floor(L/A[-a])*A[-a] + A[-a] -1\n a += 1\nprint(S,L)\n\n \n"]
['Runtime Error', 'Accepted']
['s683596780', 's472497416']
[14224.0, 15020.0]
[2104.0, 249.0]
[319, 306]
p03464
u810735437
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['\n\n\n# ...\n\nK = int(input())\nAs = list(map(int, input().split()))\nAs.reverse()\n\nfail = False\nif As[0] != 2:\n fail = True\nelse:\n mn = 2\n mx = 3\n for a in As[1:]:\n \n \n if mn % a != 0:\n mn = (mn // a) * a + a\n if mx % a != 0:\n mx = (mx // a) * a\n if mn > mx:\n fail = True\n break\n\n \n mx = mx + (a - 1)\nif fail:\n print(-1)\nelse:', '\n\n\n# ...\n\nK = int(input())\nAs = list(map(int, input().split()))\nAs.reverse()\n\nfail = False\nif As[0] != 2:\n fail = True\nelse:\n mn = 2\n mx = 3\n for a in As[1:]:\n \n \n if mn % a != 0:\n mn = (mn // a) * a + a\n if mx % a != 0:\n mx = (mx // a) * a\n if mn > mx:\n fail = True\n break\n\n \n mx = mx + (a - 1)\nif fail:\n print(-1)\nelse:\n print(mn, mx)\n']
['Runtime Error', 'Accepted']
['s341574599', 's509996958']
[3060.0, 14252.0]
[17.0, 130.0]
[720, 739]
p03464
u846150137
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
["n=int(input())\na=reversed([int(i) for i in input().split()])\nmax_a=3\nmin_a=2\na0=2\nflg=0\nan=list(a)\nif an[0]!=2:\n f=1\nfor i in an:\n if i > max_a:\n flg=1\n break\n elif i !=a0: \n if i>a0:\n min_a +=i-a0\n else:\n min_a+= i - min_a % i \n max_a=min_a + i -1\n a0=i\n\nif flg==1:\n print('-1')\nelse:\n print(max_a,min_a)", "n=int(input())\na=reversed([int(i) for i in input().split()])\nmax_a=3\nmin_a=2\na0=2\nflg=0\nan=list(a)\nif an[0]!=2:\n flg=1\n\nfor i in an:\n if i > max_a:\n flg=1\n break\n elif i !=a0: \n if i>a0:\n min_a +=i-a0\n else:\n min_a+= i - min_a % i \n max_a=min_a + i -1\n a0=i\n\nif flg==1:\n print('-1')\nelse:\n print(max_a,min_a)", "n=int(input())\na=[int(i) for i in input().split()][::-1]\nmax_a=3\nmin_a=2\na0=2\nflg=0\nan=list(a)\nif an[0]!=2:\n flg=1\n\nfor i in an:\n if i > max_a:\n flg=1\n break\n elif i !=a0: \n if i>a0:\n min_a +=i-a0\n else:\n min_a+= i - min_a % i \n max_a=min_a + i -1\n a0=i\n\nif flg==1:\n print('-1')\nelse:\n print(max_a,min_a)", 'input()\nl=s=2\nfor i in map(int,input().split()[::-1]):\n s=i*(s//i+[1,0][s%i==0])\n l=i*(l//i+1)-1\nprint(-1) if s>l else print(s,l)']
['Wrong Answer', 'Wrong Answer', 'Wrong Answer', 'Accepted']
['s107149203', 's270015149', 's494054037', 's230450836']
[16288.0, 14224.0, 14252.0, 11132.0]
[98.0, 97.0, 105.0, 130.0]
[339, 342, 338, 131]
p03464
u865741247
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['import copy\ndef ketanowa(p):\n ans=0\n p=str(p)\n for i in p:\n ans+=int(i)\n return ans\n\ndef main():\n n=int(input())\n temp=input().split(" ")\n nums=list(map(int,temp))\n nums_o=copy.copy(nums)\n nums.reverse()\n for i in range(len(nums)-1):\n if nums[i]>nums[i+1]:\n p=int(nums[i]/nums[i+1])\n nums[i+1]*=(p+1)\n nums.reverse()\n imp =True\n min=nums[0]\n max=nums[0]+nums_o[0]-1\n\n test=min\n for i in range(len(nums)):\n test-=test%nums_o[i]\n if test<=0:\n imp=True\n break\n if test!=2:\n imp=True\n test=max\n for i in range(len(nums)):\n test-=test%nums_o[i]\n if test<=0:\n imp=True\n break\n if test!=2:\n imp=True\n\n\n if imp:\n print("-1")\n else:\n print(str(min)+" "+str(max)) \n\n\n\n\nif __name__ == \'__main__\':\n main()\n', 'import copy\nimport math\n\n\ndef main():\n n=int(input())\n temp=input().split(" ")\n nums=list(map(int,temp))\n nums.reverse()\n l=2 # min \n r=2 # max\n for num in nums:\n # if num<=l and num>=r:\n r=(int(r/num)+1)*(num)-1\n l= math.ceil(l/num)*num\n \n if l>r:\n print("-1")\n return 0\n print(str(l)+" "+str(r)) \n \n\n\n\nif __name__ == \'__main__\':\n main()\n']
['Wrong Answer', 'Accepted']
['s951393280', 's009159440']
[18788.0, 14764.0]
[131.0, 102.0]
[906, 432]
p03464
u870262604
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['k = int(input())\na = list(map(int, input().split()))\ndef solve():\n\n if a[k-1] != 2:\n print(-1)\n return\n\n if k == 1:\n print(2, 3)\n return\n\n mi = 0\n mx = 0\n\n for i in range(k):\n\n if i==0:\n mi = 2\n mx = 2\n # elif i > 1 and i != k-1:\n # if a[k-i-1] == a[k-(i-1)-1]:\n # continue\n\n mx = mx + a[k-i-1] - 1\n print(mi, mx)\n\n if i == k-1:\n pass\n else:\n j = i+1\n if mx < a[k-j-1]:\n print(-1)\n return\n\n if mi%a[k-j-1] != 0:\n mi = mi + (a[k-j-1] - mi%a[k-j-1])\n if mx%a[k-j-1] != 0:\n mx = mx - mx % a[k-j-1]\n print(mi, mx)\n print(mi, mx)\nsolve()\n', 'k = int(input())\na = list(map(int, input().split()))\ndef solve():\n\n if a[k-1] != 2:\n print(-1)\n return\n\n mi = 2\n mx = 2\n\n for i in range(k):\n j = k-i-1\n\n mx = mx + a[j] - 1\n\n if j == 0:\n pass\n else:\n na = a[j-1]\n \n if mx % na != 0 and mi % na != 0 and ((mx % na) - (mi % na)) == (mx - mi):\n print(-1)\n return\n\n if mi%na != 0:\n mi = mi + (na - mi%na)\n\n if mx%na != 0:\n mx = mx - (mx % na)\n\n print(mi, mx)\nsolve()\n']
['Wrong Answer', 'Accepted']
['s616296289', 's736783947']
[14428.0, 14432.0]
[425.0, 155.0]
[791, 595]
p03464
u925364229
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['K = int(input())\nA = list(map(int,input().split()))\n\nif A[-1] != 2:\n\tprint(-1)\n\texit(0)\n\nminval = 2\nmaxval = 3\nfor i in range(K-1,-1,-1):\n\tif maxval < A[i] or (minval > A[i] and ((maxval - (maxval % A[i]) < minval)):\n\t\tprint(-1)\n\t\texit(0)\n\n\tif minval > A[i]:\n\t\tif minval % A[i] != 0:\n\t\t\tminval = minval + (A[i] - (minval % A[i]))\n\n\t\tmaxval = (maxval - (maxval % A[i]) + A[i] - 1)\n\n\telse:\n\t\tmaxval = A[i] + (A[i] - 1)\n\t\tminval = A[i]\n\t\t\n\nprint(str(minval) + " " + str(maxval))\n', 'K = int(input())\nA = list(map(int,input().split()))\n\nif A[-1] != 2:\n\tprint(-1)\n\texit(0)\n\nminval = 2\nmaxval = 3\nfor i in range(K-1,-1,-1):\n\tif maxval < A[i] or (minval > A[i] and ((maxval - (maxval % A[i]) < minval))):\n\t\tprint(-1)\n\t\texit(0)\n\n\tif minval > A[i]:\n\t\tif minval % A[i] != 0:\n\t\t\tminval = minval + (A[i] - (minval % A[i]))\n\n\t\tmaxval = (maxval - (maxval % A[i]) + A[i] - 1)\n\n\telse:\n\t\tmaxval = A[i] + (A[i] - 1)\n\t\tminval = A[i]\n\t\t\n\nprint(str(minval) + " " + str(maxval))\n']
['Runtime Error', 'Accepted']
['s770755030', 's238374001']
[2940.0, 14428.0]
[17.0, 168.0]
[476, 477]
p03464
u936985471
2,000
524,288
An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as possible. One child may belong to at most one group. Those who are left without a group leave the game. The others proceed to the next round. Note that it's possible that nobody leaves the game in some round. In the end, after the K-th round, there are exactly two children left, and they are declared the winners. You have heard the values of A_1, A_2, ..., A_K. You don't know N, but you want to estimate it. Find the smallest and the largest possible number of children in the game before the start, or determine that no valid values of N exist.
['import sys\nreadline = sys.stdin.readline\n\nK = int(readline())\nA = list(map(int,readline().split()))[::-1] \n\n\ncur = 2\n\nif A[0] != 2: \n print(-1)\n exit(0)\n\n#print(A)\n\ndef getMinVal(c,a):\n \n return (((c- 1) // a) + 1) * a\n\ndef getMaxVal(minval,a):\n \n return minval + a - 1\n\n\nfor i in range(len(A)):\n \n minpos = getMinVal(cur,A[i])\n maxpos = getMaxVal(minpos,A[i])\n \n if A[i] < minpos or maxpos < A[i]:\n print(-1)\n exit(0)\n\n \n if i + 1 < len(A):\n if minpos % A[i + 1] != 0:\n cur = getMinVal(minpos,A[i + 1])\n else:\n cur = minpos\n else:\n cur = minpos\n \n\nans = [0] * 2\nans[0] = cur\n \ndef getNextMax(c,a):\n \n return (c // a) * a\n \ncur = 2\n\nfor i in range(len(A)):\n \n# print("i",i,"A[i]",A[i])\n minpos = getMinVal(cur,A[i])\n maxpos = getMaxVal(minpos,A[i])\n\n if cur * 2 < A[i]:\n print(-1)\n exit(0)\n \n \n if i + 1 < len(A):\n if maxpos % A[i + 1] != 0:\n cur = getNextMax(maxpos,A[i + 1])\n else:\n cur = maxpos\n else:\n cur = maxpos\n# print("cur",cur)\n \nans[1] = cur\n\nprint(*ans)\n', '\n\n\nimport sys\nreadline = sys.stdin.readline\n\nK = int(readline())\nA = list(map(int,readline().split()))[::-1] \n\nmincur = 2\nmaxcur = 2\n\ndef get_min_val(c,a): \n return ((c - 1)//a + 1) * a\n\ndef get_max_val(c,a): \n return (c // a) * a\n\nif A[0] != 2:\n print(-1)\n exit(0)\n \nfor i in range(len(A)):\n mincur = mincur\n maxcur = maxcur + A[i] - 1\n if i + 1 < len(A):\n mincur = get_min_val(mincur,A[i + 1])\n maxcur = get_max_val(maxcur,A[i + 1])\n if mincur > maxcur:\n print(-1)\n exit(0)\nprint(mincur,maxcur)\n']
['Wrong Answer', 'Accepted']
['s449755077', 's201371530']
[14252.0, 15020.0]
[284.0, 156.0]
[1818, 967]
p03465
u075595666
2,000
524,288
You are given N integers A_1, A_2, ..., A_N. Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number. Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}. Find the median of this list, S_{2^{N-1}}.
['n = int(input())\na = list(map(int,input().split()))\ns = sum(a)\na.sort()\nb = 1\nfor i in a:\n b |= b<<i\n \nb &= 2**(s+1)-2**((s-1)//2)\nt = b&(-b)\nprint(t.bit_length()-1)', 'n = int(input())\na = list(map(int,input().split()))\ns = sum(a)\na.sort()\nb = 1\nfor i in a:\n b |= b<<i\n \nb &= 2**(s+1)-2**((s+1)//2)\nt = b&(-b)\nprint(t.bit_length()-1)']
['Wrong Answer', 'Accepted']
['s072902179', 's487320856']
[11388.0, 11580.0]
[430.0, 435.0]
[167, 167]
p03465
u340781749
2,000
524,288
You are given N integers A_1, A_2, ..., A_N. Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number. Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}. Find the median of this list, S_{2^{N-1}}.
['n = int(input())\narr = list(map(int, input().split()))\ndp = 1\n\nfor a in arr:\n dp |= dp << a\n\nts = 1 << ((dp.bit_length() + 1) // 2 - 1)\nwhile not dp & ts:\n ts <<= 1\n\nprint(ts.bit_length())\n', 'n = int(input())\narr = list(map(int, input().split()))\ndp = 1\n\nfor a in arr:\n dp |= dp << a\n\nts = 1 << (dp.bit_length() - 1)\nwhile not dp & ts:\n ts <<= 1\n\nprint(ts.bit_length())\n', 'n, arr, dp = int(input()), list(map(int, input().split())), 1\nfor a in arr:\n dp |= dp << a\nofs = (sum(arr) + 1) // 2\ndp >>= ofs\nprint((dp & -dp).bit_length() + ofs - 1)\n']
['Wrong Answer', 'Wrong Answer', 'Accepted']
['s396492605', 's763705112', 's779555302']
[5464.0, 5456.0, 5452.0]
[651.0, 457.0, 453.0]
[195, 184, 172]
p03466
u144695182
2,000
524,288
Let f(A, B), where A and B are positive integers, be the string satisfying the following conditions: * f(A, B) has length A + B; * f(A, B) contains exactly A letters `A` and exactly B letters `B`; * The length of the longest substring of f(A, B) consisting of equal letters (ex., `AAAAA` or `BBBB`) is as small as possible under the conditions above; * f(A, B) is the lexicographically smallest string satisfying the conditions above. For example, f(2, 3) = `BABAB`, and f(6, 4) = `AABAABAABB`. Answer Q queries: find the substring of f(A_i, B_i) from position C_i to position D_i (1-based).
['for t in range(int(input())):\n a,b,c,d=map(int,input().split(\' \'));l,x,y,o=(a+b)//(min(a,b)+1),0,0,""\n\tif a*l<=b:y=a+b\n\telif b*l<=a:x=a+b\n\telse:x,y=(a*l-b)//(l-1),(b*l-a)//(l-1)\n\tfor i in range(c,d+1):o+="AB"[i%(l+1)==0] if i<=x else "BA"[(a+b-i+1)%(l+1)==0] if a+b-i+1<=y else "AB"[a-x+x//(l+1)-y//(l+1)==0]\n\tprint(o)', 'for t in range(int(input())):\n\ta,b,c,d=map(int,input().split(\' \'));l,x,y,o=(a+b)//(min(a,b)+1),0,0,""\n\tif a*l<=b:y=a+b\n\telif b*l<=a:x=a+b\n\telse:x,y=(a*l-b)//(l-1),(b*l-a)//(l-1)\n\tfor i in range(c,d+1):o+="AB"[i%(l+1)==0] if i<=x else "BA"[(a+b-i+1)%(l+1)==0] if a+b-i+1<=y else "AB"[a-x+x//(l+1)-y//(l+1)==0]\n\tprint(o)']
['Runtime Error', 'Accepted']
['s422209750', 's510702582']
[2940.0, 3188.0]
[17.0, 82.0]
[319, 318]
p03466
u545001286
2,000
524,288
Let f(A, B), where A and B are positive integers, be the string satisfying the following conditions: * f(A, B) has length A + B; * f(A, B) contains exactly A letters `A` and exactly B letters `B`; * The length of the longest substring of f(A, B) consisting of equal letters (ex., `AAAAA` or `BBBB`) is as small as possible under the conditions above; * f(A, B) is the lexicographically smallest string satisfying the conditions above. For example, f(2, 3) = `BABAB`, and f(6, 4) = `AABAABAABB`. Answer Q queries: find the substring of f(A_i, B_i) from position C_i to position D_i (1-based).
['for t in range(int(input())):\n\ta,b,c,d=map(int,input().split(\' \'));l,x,y,o=(a+b)//(min(a,b)+1),(a*l-b)//(l-1),(b*l-a)//(l-1),""\n\tif a*l<=b:x,y=0,a+b\n\telif b*l<=a:x,y=a+b,0\n\tfor i in range(c,d+1):o+="AB"[i%(l+1)==0] if i<=x else "BA"[(a+b-i+1)%(l+1)==0] if a+b-i+1<=y else "AB"[a-x+x//(l+1)-y//(l+1)==0]\n\tprint(o)', 'for t in range(int(input())):\n\ta,b,c,d=map(int,input().split(\' \'));l,o=(a+b)//(min(a,b)+1),"";x,y=(a*l-b)//(l-1),(b*l-a)//(l-1)\n\tif a*l<=b:x,y=0,a+b\n\telif b*l<=a:x,y=a+b,0\n\tfor i in range(c,d+1):o+="AB"[i%(l+1)==0] if i<=x else "BA"[(a+b-i+1)%(l+1)==0] if a+b-i+1<=y else "AB"[a-x+x//(l+1)-y//(l+1)==0]\n\tprint(o)', 'for t in range(int(input())):\n\ta,b,c,d=map(int,input().split(\' \'));l,x,y,o=(a+b)//(min(a,b)+1),a+b,0,""\n\tif a*l<=b:x,y=0,a+b\n\telif b*l>a:x,y=(a*l-b)//(l-1),(b*l-a)//(l-1)\n\tfor i in range(c,d+1):o+="AB"[i%(l+1)==0] if i<=x else "BA"[(a+b-i+1)%(l+1)==0] if a+b-i+1<=y else "AB"[a-x+x//(l+1)-y//(l+1)==0]\n\tprint(o)']
['Runtime Error', 'Runtime Error', 'Accepted']
['s178097612', 's981183665', 's305958224']
[3064.0, 3188.0, 3188.0]
[18.0, 80.0, 81.0]
[312, 312, 311]
p03466
u858748695
2,000
524,288
Let f(A, B), where A and B are positive integers, be the string satisfying the following conditions: * f(A, B) has length A + B; * f(A, B) contains exactly A letters `A` and exactly B letters `B`; * The length of the longest substring of f(A, B) consisting of equal letters (ex., `AAAAA` or `BBBB`) is as small as possible under the conditions above; * f(A, B) is the lexicographically smallest string satisfying the conditions above. For example, f(2, 3) = `BABAB`, and f(6, 4) = `AABAABAABB`. Answer Q queries: find the substring of f(A_i, B_i) from position C_i to position D_i (1-based).
["#!/usr/bin/env python3\nimport math\nimport bisect\nQ = int(input())\nfor _ in range(Q):\n A, B, C, D = map(int, input().split())\n K = math.ceil(max(A, B) / (min(A, B) + 1))\n xs = ((A - i + 1) * K < B - max(0, (i - 1) // K) for i in range(A + 1))\n p = bisect.bisect(list(xs), False)\n f = ''\n for i in range(C - 1, D):\n na = p\n nb = max(0, (na - 1) // K)\n if i < nb * (K + 1):\n f += ('A', 'B')[i % (K + 1) == K]\n elif i < na + nb:\n f += 'A'\n else:\n j = A + B - i - 1\n nb = B - nb\n na = max(0, (nb - 1) // K)\n if j < na * (K + 1):\n f += ('B', 'A')[j % (K + 1) == K]\n else:\n f += 'B'\n print(f)\n", "#!/usr/bin/env python3\nimport math\nQ = int(input())\nnum = lambda x: (x, max(0, (x - 1) // K))\nsub = lambda xs, ys: [x - y for (x, y) in zip(xs, ys)]\nfor _ in range(Q):\n A, B, C, D = map(int, input().split())\n K = math.ceil(max(A, B) / (min(A, B) + 1))\n l, r = 0, A + 1\n while r - l > 1:\n m = (l + r) // 2\n rA, rB = sub((A, B), num(m))\n l, r = ((m, r), (l, m))[(rA + 1) * K < rB]\n\n f = ''\n for i in range(C - 1, D):\n na, nb = num(l)\n if i < na + nb:\n f += ('A', 'B')[i % (K + 1) == K] if i < nb * (K + 1) else 'A'\n else:\n nb, na = num(B - nb)\n j = A + B - i - 1\n f += ('B', 'A')[j % (K + 1) == K] if j < na * (K + 1) else 'B'\n print(f)\n"]
['Wrong Answer', 'Accepted']
['s437963317', 's811119816']
[44732.0, 3188.0]
[2106.0, 220.0]
[749, 742]
p03481
u018679195
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['x, y = map(int, input().split())\ncnt = 1;\nwhile x < y:\n x *= 2\n cnt += 1\nprint(cnt)', 'x, y = map(int, input().split())\ncnt = 0;\nwhile x <= y:\n cnt += 1\n x *= 2\nprint(cnt)']
['Wrong Answer', 'Accepted']
['s563438115', 's399308922']
[3060.0, 2940.0]
[18.0, 18.0]
[89, 90]
p03481
u067983636
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['import math\nX, Y = map(int, input().split())\nr = 0\nwhile X < Y:\n Y //= X\n r += 1\nprint(int(math.log2(r)) + 1)', 'import math\nX, Y = map(int, input().split())\nr = 0\nR = Y // X\nwhile R >= 2:\n R //= 2\n r += 1\nprint(r + 1)']
['Runtime Error', 'Accepted']
['s567173194', 's271693599']
[2940.0, 3060.0]
[2104.0, 19.0]
[111, 107]
p03481
u068142202
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['x, y = map(int, input().split())\ncount = 0\nans = []\nx_copy = x\nwhile x_copy < y:\n x_copy = x\n x_copy *= 2 ** count\n ans.append(x_copy)\n count += 1\nprint(len(ans))\n', 'x, y = map(int, input().split())\n\nfor i in range(1, 101):\n if x > y:\n ans = i - 1\n break\n x *= 2\n\nprint(ans)\n']
['Wrong Answer', 'Accepted']
['s815877191', 's742016902']
[9084.0, 9092.0]
[32.0, 27.0]
[175, 129]
p03481
u089230684
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['X,Y = map(int,input().split())\nans = 0\nwhile X <= Y:\n\tans += 1\n\tX * = 2\nprint(ans)', 'X,Y = map(int,input())\nans = 0\nwhile X <= Y:\n\tans += 1\n\tX *= 2\nprint(ans)', 'X,Y = map(int,input().split())\nans = 0\nwhile X <= Y:\n\tans += 1\n\tX *= 2\nprint(ans)']
['Runtime Error', 'Runtime Error', 'Accepted']
['s290602226', 's437290291', 's028282217']
[2940.0, 2940.0, 2940.0]
[18.0, 18.0, 18.0]
[82, 73, 81]
p03481
u118642796
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['X,Y = map(int,input().split())\nans = 0\nwhile True:\n X *= 2\n if X<=Y:\n ans += 1\n else:\n break\nprint(ans)', 'X,Y = map(int,input().split())\nans = 1\nwhile True:\n X *= 2\n if X<=Y:\n ans += 1\n else:\n break\nprint(ans)']
['Wrong Answer', 'Accepted']
['s653092291', 's222930576']
[3064.0, 2940.0]
[17.0, 17.0]
[112, 112]
p03481
u168416324
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['3 20', 'x,y=map(int,input().split())\ni=1\nwhile x*2<=y:\n i+=1\n x*=2\nprint(i)']
['Runtime Error', 'Accepted']
['s908569564', 's285033151']
[2940.0, 2940.0]
[17.0, 18.0]
[4, 69]
p03481
u205561862
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['import math;print((lambda l:math.floor(math.log2(l[1]/l[0])+1e9)+1)(list(map(int,input().split()))))', 'import math;print((lambda l:math.floor(math.log2(l[1]/l[0]))+1+1e-9)(list(map(int,input().split()))))', 'import math;print(int((lambda l:math.floor(1e-5+math.log2(l[1]/l[0]))+1))(list(map(int,input().split()))))\n', 'import math;print(int((lambda l:math.floor(1e-9+math.log2(l[1]/l[0]))+1))(list(map(int,input().split()))))', 'print(((lambda l:len([0 for i in range(0,100) if l[0]*(2**i)<=l[1]]))(list(map(int,input().split())))))']
['Wrong Answer', 'Wrong Answer', 'Runtime Error', 'Runtime Error', 'Accepted']
['s283388249', 's355234909', 's427233534', 's651846317', 's750893808']
[2940.0, 3188.0, 2940.0, 2940.0, 2940.0]
[17.0, 19.0, 18.0, 18.0, 18.0]
[100, 101, 107, 106, 103]
p03481
u244423127
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['a = list(map(int,input().split()))\nx = a[0]\ny = a[1]\n\nn = a[0]\ncount =1\n\nwhile n <= y:\n n = n * 2\n count += 1\n \nprint(str(count))', 'a = list(map(int,input().split()))\nx = a[0]\ny = a[1]\n\nn = a[0]\ncount = 0\n\nwhile n <= y:\n n = n << 1\n count += 1\n \nprint(str(count))']
['Wrong Answer', 'Accepted']
['s206503544', 's662946842']
[3060.0, 3060.0]
[18.0, 17.0]
[132, 134]
p03481
u267638701
2,000
262,144
As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence A needs to satisfy the conditions below: * A consists of integers between X and Y (inclusive). * For each 1\leq i \leq |A|-1, A_{i+1} is a multiple of A_i and strictly greater than A_i. Find the maximum possible length of the sequence.
['# -*- coding: utf-8 -*-\n\nX, Y = map(int, raw_input().split())\ncnt = 0\nnum = X\nwhile num <= Y:\n cnt += 1\n num = num*2\n\nprint(cnt)\n', '# -*- coding: utf-8 -*-\n\nimport math\nX, Y = map(int, raw_input().split())\ncnt = 0\nnum = X\nwhile num <= Y:\n cnt += 1\n num = num*2\n\nprint(cnt)\n', '# -*- coding: utf-8 -*-\n\nX, Y = map(int, input().split())\ncnt = 0\nnum = X\nwhile num <= Y:\n cnt += 1\n num = num*2\n\nprint(cnt)\n']
['Runtime Error', 'Runtime Error', 'Accepted']
['s467118232', 's997686771', 's616387654']
[2940.0, 2940.0, 2940.0]
[17.0, 17.0, 18.0]
[135, 147, 131]