Question: AQR, Recent Online Assessment Questions (30th August 2023) | Program to accept (N*N Matrix) | Operating System
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ADD COMMENTlink 13 months ago PoGo 2.4k
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from collections import deque

dx = [1, 1, -1, -1]
dy = [-1, 1, 1, -1]

def read_input():
    n = int(input())
    vec = [list(map(int, input().split())) for _ in range(n)]
    return n, vec

def is_valid(nx, ny, ind, n, vis):
    return ind <= nx <= n - ind - 1 and ind <= ny <= n - ind - 1 and not vis[nx][ny]

def bfs_diamond(n, vec, ind, j, vis):
    temp = []
    cnt = 0
    q = deque([(j, n // 2)])
    tempsum = 0
    
    while q:
        x, y = q.popleft()
        vis[x][y] = True
        tempsum += vec[x][y]
        temp.append(vec[x][y])
        
        nx, ny = x + dx[cnt], y + dy[cnt]
        
        if is_valid(nx, ny, ind, n, vis):
            vis[nx][ny] = True
            q.append((nx, ny))
        else:
            cnt += 1
            if cnt == 4:
                break
            nx, ny = x + dx[cnt], y + dy[cnt]
            q.append((nx, ny))
    
    return temp, tempsum

def find_max_diamond(n, vec):
    ind = 0
    mx_ind = -1
    mx_sum = 0
    vis = [[False] * (n+1) for _ in range(n+1)]
    diamonds = []
    
    for j in range(n // 2):
        temp, tempsum = bfs_diamond(n, vec, ind, j, vis)
        diamonds.append(temp)
        
        if tempsum > mx_sum:
            mx_sum = tempsum
            mx_ind = ind
        
        ind += 1
    
    return diamonds, mx_ind, mx_sum

def construct_final_answer(diamonds, mx_ind):
    final_ans = [diamonds[mx_ind][0]]
    i, j = 1, len(diamonds[mx_ind]) - 1
    
    while i <= j:
        if i == j:
            final_ans.append(diamonds[mx_ind][i])
            i += 1
        else:
            final_ans.append(diamonds[mx_ind][i])
            final_ans.append(diamonds[mx_ind][j])
            i += 1
            j -= 1
    
    return final_ans

def main():
    n, vec = read_input()
    diamonds, mx_ind, mx_sum = find_max_diamond(n, vec)
    final_ans = construct_final_answer(diamonds, mx_ind)
    
    print(" ".join(map(str, final_ans)))
    print(mx_sum)

if __name__ == "__main__":
    main()
 

ADD COMMENTlink 13 days ago Ignotus2614 • 0

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