{"trustable":false,"sections":[{"title":"","value":{"format":"HTML","content":"\n \u003cdiv class\u003d\"ptx\" lang\u003d\"en-US\"\u003e\n \u003cp\u003eFarmer John knows that an intellectually satisfied cow is a happy cow who will give more milk. He has arranged a brainy activity for cows in which they manipulate an \u003ci\u003eM\u003c/i\u003e × \u003ci\u003eN\u003c/i\u003e grid (1 ≤ \u003ci\u003eM\u003c/i\u003e ≤ 15; 1 ≤ \u003ci\u003eN\u003c/i\u003e ≤ 15) of square tiles, each of which is colored black on one side and white on the other side.\u003c/p\u003e\n \u003cp\u003eAs one would guess, when a single white tile is flipped, it changes to black; when a single black tile is flipped, it changes to white. The cows are rewarded when they flip the tiles so that each tile has the white side face up. However, the cows have rather large hooves and when they try to flip a certain tile, they also flip all the adjacent tiles (tiles that share a full edge with the flipped tile). Since the flips are tiring, the cows want to minimize the number of flips they have to make.\u003c/p\u003e\n \u003cp\u003eHelp the cows determine the minimum number of flips required, and the locations to flip to achieve that minimum. If there are multiple ways to achieve the task with the minimum amount of flips, return the one with the least lexicographical ordering in the output when considered as a string. If the task is impossible, print one line with the word \"IMPOSSIBLE\".\u003c/p\u003e\n \u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\n \u003cdiv class\u003d\"ptx\" lang\u003d\"en-US\"\u003e\n Line 1: Two space-separated integers: \n \u003ci\u003eM\u003c/i\u003e and \n \u003ci\u003eN\u003c/i\u003e \n \u003cbr\u003eLines 2..\n \u003ci\u003eM\u003c/i\u003e+1: Line \n \u003ci\u003ei\u003c/i\u003e+1 describes the colors (left to right) of row i of the grid with \n \u003ci\u003eN\u003c/i\u003e space-separated integers which are 1 for black and 0 for white\n \u003c/div\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\n \u003cdiv class\u003d\"ptx\" lang\u003d\"en-US\"\u003e\n Lines 1..\n \u003ci\u003eM\u003c/i\u003e: Each line contains \n \u003ci\u003eN\u003c/i\u003e space-separated integers, each specifying how many times to flip that particular location.\n \u003c/div\u003e"}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre class\u003d\"sio\"\u003e4 4\n1 0 0 1\n0 1 1 0\n0 1 1 0\n1 0 0 1\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre class\u003d\"sio\"\u003e0 0 0 0\n1 0 0 1\n1 0 0 1\n0 0 0 0\u003c/pre\u003e"}},{"title":"","value":{"format":"HTML","content":"\u003cpre class\u003d\"sio\"\u003e0 0 0 0\n1 0 0 1\n1 0 0 1\n0 0 0 0\u003c/pre\u003e"}}]}