{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eWe have a grid with \u003cvar\u003e\\(H\\)\u003c/var\u003e horizontal rows and \u003cvar\u003e\\(W\\)\u003c/var\u003e vertical columns, where each square contains an integer.\r\nThe integer written on the square at the \u003cvar\u003e\\(i\\)\u003c/var\u003e-th row from the top and \u003cvar\u003e\\(j\\)\u003c/var\u003e-th column from the left is \u003cvar\u003e\\(A_{i, j}\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003cp\u003eDetermine whether the grid satisfies the condition below.\u003c/p\u003e\r\n\u003cblockquote\u003e\r\n\u003cp\u003e\u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \\leq A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e holds for every quadruple of integers \u003cvar\u003e\\((i_1, i_2, j_1, j_2)\\)\u003c/var\u003e such that \u003cvar\u003e\\(1 \\leq i_1 \u0026lt; i_2 \\leq H\\)\u003c/var\u003e and \u003cvar\u003e\\(1 \\leq j_1 \u0026lt; j_2 \\leq W\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/blockquote\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Constraints","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cul\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(2 \\leq H, W \\leq 50\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq A_{i, j} \\leq 10^9\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003eAll values in input are integers.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Input","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eInput is given from Standard Input in the following format:\u003c/p\u003e\r\n\u003cpre\u003e\u003cvar\u003e\\(H\\)\u003c/var\u003e \u003cvar\u003e\\(W\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(A_{1, 1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{1, 2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\cdots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{1, W}\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(A_{2, 1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{2, 2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\cdots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{2, W}\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(\\vdots\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(A_{H, 1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{H, 2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\cdots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{H, W}\\)\u003c/var\u003e\r\n\u003c/pre\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Output","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eIf the grid satisfies the condition in the Problem Statement, print \u003ccode\u003eYes\u003c/code\u003e; otherwise, print \u003ccode\u003eNo\u003c/code\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 1","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 3\r\n2 1 4\r\n3 1 3\r\n6 4 1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYes\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\u003cp\u003eThere are nine quadruples of integers \u003cvar\u003e\\((i_1, i_2, j_1, j_2)\\)\u003c/var\u003e such that \u003cvar\u003e\\(1 \\leq i_1 \u0026lt; i_2 \\leq H\\)\u003c/var\u003e and \u003cvar\u003e\\(1 \\leq j_1 \u0026lt; j_2 \\leq W\\)\u003c/var\u003e. For all of them, \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \\leq A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e holds. Some examples follow.\u003c/p\u003e\r\n\u003cul\u003e\r\n\u003cli\u003eFor \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 2, 1, 2)\\)\u003c/var\u003e, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 2 + 1 \\leq 3 + 1 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003cli\u003eFor \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 2, 1, 3)\\)\u003c/var\u003e, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 2 + 3 \\leq 3 + 4 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003cli\u003eFor \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 2, 2, 3)\\)\u003c/var\u003e, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 1 + 3 \\leq 1 + 4 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003cli\u003eFor \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 3, 1, 2)\\)\u003c/var\u003e, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 2 + 4 \\leq 6 + 1 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003cli\u003eFor \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 3, 1, 3)\\)\u003c/var\u003e, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 2 + 1 \\leq 6 + 4 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003cp\u003eWe can also see that the property holds for the other quadruples: \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 3, 2, 3), (2, 3, 1, 2), (2, 3, 1, 3), (2, 3, 2, 3)\\)\u003c/var\u003e.\u003cbr\u003e\r\nThus, we should print \u003ccode\u003eYes\u003c/code\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 2","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\u003e2 4\r\n4 3 2 1\r\n5 6 7 8\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eNo\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\u003cp\u003eWe should print \u003ccode\u003eNo\u003c/code\u003e because the condition is not satisfied.\u003cbr\u003e\r\nThis is because, for example, we have \u003cvar\u003e\\(A_{i_1, j_1} + A_{i_2, j_2} \u003d 4 + 8 \u0026gt; 5 + 1 \u003d A_{i_2, j_1} + A_{i_1, j_2}\\)\u003c/var\u003e for \u003cvar\u003e\\((i_1, i_2, j_1, j_2) \u003d (1, 2, 1, 4)\\)\u003c/var\u003e.\u003c/p\u003e\u003c/section\u003e\r\n"}}]}