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Provide a correct Python 3 solution for this coding contest problem. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many ways can the knight reach the square (X, Y)? Find the num...
instruction
0
102,727
15
205,454
"Correct Solution: ``` M = 10 ** 9 + 7 x, y = map(int, input().split()) r = 0 if (x + y) % 3 == 0: a, b = (2 * y - x) // 3, (2 * x - y ) // 3 if a >= 0 <= b: f = [1] for i in range(1, a + b + 1): f.append(f[-1] * i % M) r = f[a + b] * pow(f[a] * f[b], M - 2, M) % M print(r) ```
output
1
102,727
15
205,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,728
15
205,456
Yes
output
1
102,728
15
205,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,729
15
205,458
Yes
output
1
102,729
15
205,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,730
15
205,460
Yes
output
1
102,730
15
205,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,731
15
205,462
Yes
output
1
102,731
15
205,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,732
15
205,464
No
output
1
102,732
15
205,465
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,733
15
205,466
No
output
1
102,733
15
205,467
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,734
15
205,468
No
output
1
102,734
15
205,469
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a knight - the chess piece - at the origin (0, 0) of a two-dimensional grid. When the knight is at the square (i, j), it can be moved to either (i+1,j+2) or (i+2, j+1). In how many wa...
instruction
0
102,735
15
205,470
No
output
1
102,735
15
205,471
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,752
15
205,504
"Correct Solution: ``` n,m=map(int,input().split()) x=list(map(int,input().split())) x.sort() l=[] for i in range(m-1): l.append(x[i+1]-x[i]) l.sort(reverse=True) cnt=sum(l[:n-1]) print(sum(l)-cnt) ```
output
1
102,752
15
205,505
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,753
15
205,506
"Correct Solution: ``` N, M = map(int, input().split()) X = list(map(int, input().split())) X.sort() L = [X[i+1] - X[i] for i in range(M-1)] L.sort() N = M if N > M else N print(sum(L[:(M-1)-(N-1)])) ```
output
1
102,753
15
205,507
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,754
15
205,508
"Correct Solution: ``` N,M=map(int, input().split()) X=list(map(int, input().split())) X.sort() diff = [X[i]-X[i-1] for i in range(1,M)] diff.sort() if N != 1: del diff[-N+1:] print(sum(diff)) ```
output
1
102,754
15
205,509
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,755
15
205,510
"Correct Solution: ``` n,m=map(int,input().split()) X=sorted(list(map(int,input().split()))) D=sorted([X[i+1]-X[i] for i in range(m-1)]) print(sum(D[:m-n]) if m>n else 0) ```
output
1
102,755
15
205,511
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,756
15
205,512
"Correct Solution: ``` N,M= map(int,input().split()) X=list(map(int,input().split())) X.sort() L=[0]*(M-1) for i in range(M-1): L[i] = X[i+1]-X[i] list.sort(L,reverse=True) print(sum(L[N-1:])) ```
output
1
102,756
15
205,513
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,757
15
205,514
"Correct Solution: ``` N, M, *X = map(int, open(0).read().split()) X.sort() y = sorted([X[i + 1] - X[i] for i in range(len(X) - 1)], reverse=True) print(sum(y[N - 1:])) ```
output
1
102,757
15
205,515
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,758
15
205,516
"Correct Solution: ``` n, m = map(int, input().split()) x = sorted(list(map(int, input().split()))) dist = sorted([x[i+1] - x[i] for i in range(m-1)], reverse = True) print(sum(dist[n-1:])) ```
output
1
102,758
15
205,517
Provide a correct Python 3 solution for this coding contest problem. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. Our objective is to visit all of the M coordinates X_1, X...
instruction
0
102,759
15
205,518
"Correct Solution: ``` N,M,*X=map(int,open(0).read().split()) X.sort() print(0 if N>=M else sum(sorted(abs(X[i+1]-X[i])for i in range(M-1))[:M-N])) ```
output
1
102,759
15
205,519
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,760
15
205,520
Yes
output
1
102,760
15
205,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,761
15
205,522
Yes
output
1
102,761
15
205,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,762
15
205,524
Yes
output
1
102,762
15
205,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,763
15
205,526
Yes
output
1
102,763
15
205,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,764
15
205,528
No
output
1
102,764
15
205,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,765
15
205,530
No
output
1
102,765
15
205,531
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,766
15
205,532
No
output
1
102,766
15
205,533
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We will play a one-player game using a number line and N pieces. First, we place each of these pieces at some integer coordinate. Here, multiple pieces can be placed at the same coordinate. O...
instruction
0
102,767
15
205,534
No
output
1
102,767
15
205,535
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,853
15
205,706
"Correct Solution: ``` from collections import deque N = 3 N2 = 9 dx = [-1, 0, 1, 0] dy = [0, -1, 0, 1] dirc = ['u', 'l', 'd', 'r'] class Puzzle: def __init__(self, f=None, space=None, path=None): if f is None: self.f = [] else: self.f = f self.space = space ...
output
1
102,853
15
205,707
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,854
15
205,708
"Correct Solution: ``` from collections import deque board = [int(s) for _ in range(3) for s in input().split()] end = [1, 2, 3, 4, 5, 6, 7, 8, 0] table = set() def print_board(board): for i in range(0, 9, 3): print(*board[i:i + 3]) def swap(q, step_q, step, board): key = tuple(board) if key in tab...
output
1
102,854
15
205,709
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,855
15
205,710
"Correct Solution: ``` import sys, collections input = lambda: sys.stdin.readline().rstrip() sys.setrecursionlimit(10**7) INF = 10**10 def I(): return int(input()) def F(): return float(input()) def SS(): return input() def LI(): return [int(x) for x in input().split()] def LI_(): return [int(x)-1 for x in input().spl...
output
1
102,855
15
205,711
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,856
15
205,712
"Correct Solution: ``` goal = ((1, 2, 3), (4, 5, 6), (7, 8, 0)) parents = {} total = {} flag = True initial = [] position = [] for i in range(3): a, b, c = map(int, input().split()) if a == 0: position.extend([i, 0]) elif b == 0: position.extend([i, 1]) elif c == 0: position.extend([i, 2]) initial.appen...
output
1
102,856
15
205,713
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,857
15
205,714
"Correct Solution: ``` import sys; import heapq def iterative(i,j): q = [] heapq.heappush(q,(sumcost,(0,i,j,0,puz))) global finding while len(q): cost, items = heapq.heappop(q) c_depth = items[0] _i = items[1] _j = items[2] prev_move = items[3] c_puz = i...
output
1
102,857
15
205,715
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,858
15
205,716
"Correct Solution: ``` adjacent = ( (1, 3), # 0 (0, 2, 4), # 1 (1, 5), # 2 (0, 4, 6), # 3 (1, 3, 5, 7), # 4 (2, 4, 8), # 5 (3, 7), # 6 (4, 6, 8), # 7 (5, 7) # 8 ) GOAL = [1, 2, 3, 4, 5, 6, 7, 8, 0] # Bidirectional search using breadth-first sear...
output
1
102,858
15
205,717
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,859
15
205,718
"Correct Solution: ``` N = 3 #f = [input().split() for _ in range(3)] f = input().split() f += input().split() f += input().split() dd = [[-1, 0], [0, -1], [1, 0], [0, 1]] Q = [[f, f.index("0"), 0]] #T = {f: True} T = set(f) while len(Q) > 0: board = Q.pop(0) if board[0] == ["1", "2", "3", "4", "5", "6", "7",...
output
1
102,859
15
205,719
Provide a correct Python 3 solution for this coding contest problem. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by integers from 1 to 8 as shown below. 1 3 0 4 2 5 7 8 6...
instruction
0
102,860
15
205,720
"Correct Solution: ``` import queue adjacent=((1,3), (0,2,4), (1,5), (0,4,6), (1,3,5,7), (2,4,8), (3,7), (4,6,8), (5,7)) class State: def __init__(self, board, space, prev): self.board = board self.space = space self.prev = prev def bf_search(start, GOAL): q = queue.Queue() q.put...
output
1
102,860
15
205,721
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,861
15
205,722
Yes
output
1
102,861
15
205,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,862
15
205,724
Yes
output
1
102,862
15
205,725
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,863
15
205,726
Yes
output
1
102,863
15
205,727
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,864
15
205,728
Yes
output
1
102,864
15
205,729
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,865
15
205,730
No
output
1
102,865
15
205,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,866
15
205,732
No
output
1
102,866
15
205,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,867
15
205,734
No
output
1
102,867
15
205,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The goal of the 8 puzzle problem is to complete pieces on $3 \times 3$ cells where one of the cells is empty space. In this problem, the space is represented by 0 and pieces are represented by ...
instruction
0
102,868
15
205,736
No
output
1
102,868
15
205,737
Provide tags and a correct Python 3 solution for this coding contest problem. Egor came up with a new chips puzzle and suggests you to play. The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. Thus, the state of the cell can be described by...
instruction
0
102,907
15
205,814
Tags: constructive algorithms, implementation, math Correct Solution: ``` def fill(oper, curr, upper, second, n, m): for i in range(n): for j in range(m): for s in reversed(curr[i][j]): if s == '0': if i == 0: dest = (j + 1) % m ...
output
1
102,907
15
205,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Egor came up with a new chips puzzle and suggests you to play. The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. ...
instruction
0
102,908
15
205,816
No
output
1
102,908
15
205,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Egor came up with a new chips puzzle and suggests you to play. The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. ...
instruction
0
102,909
15
205,818
No
output
1
102,909
15
205,819
Provide tags and a correct Python 3 solution for this coding contest problem. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the...
instruction
0
103,062
15
206,124
Tags: bitmasks, constructive algorithms, interactive, math Correct Solution: ``` import sys def pow(i,j): s = i+j if i % 2 ==0: return 0 return 2**s def nxt(): s = input() while not s: s = input() return int(s) def main(): (n,) = map(int, input().split(' ')) a = [] ...
output
1
103,062
15
206,125
Provide tags and a correct Python 3 solution for this coding contest problem. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the...
instruction
0
103,063
15
206,126
Tags: bitmasks, constructive algorithms, interactive, math Correct Solution: ``` n = int(input().split()[0]) arr = [[0]*n for x in range(n)] ##for x in range(n): ## for y in range(n): ## if x % 2 == 0 and y <= n-x: ## arr[x][y] = 2**(x+y-1) ## if y % 2 == 0 and x <= n-y: ## arr[x]...
output
1
103,063
15
206,127
Provide tags and a correct Python 3 solution for this coding contest problem. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the...
instruction
0
103,064
15
206,128
Tags: bitmasks, constructive algorithms, interactive, math Correct Solution: ``` def read(): s = '' while not s.strip().isdigit(): s = input() return int(s) def tile(i, j): return 2 ** (i + j) if i % 2 else 0 n = read() for i in range(n): for x in [tile(i, j) for j in range(n)]: print(x, end = ' ') ...
output
1
103,064
15
206,129
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's den...
instruction
0
103,065
15
206,130
No
output
1
103,065
15
206,131
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's den...
instruction
0
103,066
15
206,132
No
output
1
103,066
15
206,133
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's den...
instruction
0
103,067
15
206,134
No
output
1
103,067
15
206,135