{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027$$$$$$\u0027, right: \u0027$$$$$$\u0027, display: true},\n {left: \u0027$$$\u0027, right: \u0027$$$\u0027, display: false},\n {left: \u0027$$\u0027, right: \u0027$$\u0027, display: true},\n {left: \u0027$\u0027, right: \u0027$\u0027, display: false}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eGiven a matrix \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e of size \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e * \u003ci\u003eN\u003c/i\u003e\u003c/span\u003e. The rows are numbered from 0 to \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e\u003c/span\u003e-1, the columns are numbered from 0 to \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e\u003c/span\u003e-1. In this matrix, the sums of each row, the sums of each column, and the sum of the two diagonals are equal.\u003c/p\u003e\u003cp\u003eFor example, a matrix with \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eN\u003c/i\u003e \u003d 3\u003c/span\u003e:\u003c/p\u003e\u003cp\u003e\u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/3d7ba84d841ae508b80787d84d9fb675?v\u003d1726240173\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e\u003c/p\u003e\u003cp\u003eThe sums of each row:\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e2 + 9 + 4 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e7 + 5 + 3 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e6 + 1 + 8 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003eThe sums of each column:\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e2 + 7 + 6 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e9 + 5 + 1 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e4 + 3 + 8 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003eThe sums of each diagonal:\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e2 + 5 + 8 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-span\"\u003e4 + 5 + 6 \u003d 15\u003c/span\u003e\u003c/p\u003e\u003cp\u003eAs you can notice, all sums are equal to 15.\u003c/p\u003e\u003cp\u003eHowever, all the numbers in the main diagonal (the main diagonal consists of cells \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003ei\u003c/i\u003e, \u003ci\u003ei\u003c/i\u003e)\u003c/span\u003e) have been removed. Your task is to recover these cells.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains the dimension of the matrix, \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 100\u003c/span\u003e).\u003c/p\u003e\u003cp\u003eThe following \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lines contain \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integers each, with removed numbers denoted by 0, and all other numbers \u003cspan class\u003d\"tex-span\"\u003e - 10\u003csup class\u003d\"upper-index\"\u003e12\u003c/sup\u003e ≤ \u003ci\u003eA\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003eij\u003c/i\u003e\u003c/sub\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e12\u003c/sup\u003e\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eThe restored matrix should be outputted in a similar format, with \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lines consisting of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integers each.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3\n0 9 4\n7 0 3\n6 1 0\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2 9 4 \n7 5 3 \n6 1 8 \n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}