{"trustable":false,"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":"\u003ch3\u003e\u003c/h3\u003e\n\u003cp\u003e我们有个\u003cvar\u003eH\u003c/var\u003e行\u003cvar\u003eW\u003c/var\u003e列的方阵,小明正在给这些方格上色。一共有1,2,3,4......\u003cvar\u003eN\u003c/var\u003e种颜色。下面是上色需要满足的条件: \u003c/p\u003e \n\u003cul\u003e \n \u003cli\u003e对于每一个颜色\u003cvar\u003ei\u003c/var\u003e,一共有\u003cvar\u003ea_i\u003c/var\u003e个方格正好是用i这个颜色上色的。 (\u003cvar\u003e1 ≤ i ≤ N\u003c/var\u003e),\u003cvar\u003ea_1 + a_2 + ... + a_N \u003d H*W\u003c/var\u003e.\u003c/li\u003e \n \u003cli\u003e对于每一个以i为颜色的方格,它是一个四个方向联通的颜色\u003cvar\u003ei\u003c/var\u003e。也就是说,每一个以\u003cvar\u003ei\u003c/var\u003e为颜色的方格可以通过上下左右四个方向走到相邻的以i为颜色的方格。 (\u003cvar\u003e1 ≤ i ≤ N\u003c/var\u003e),\u003c/em\u003e. \u003c/li\u003e \n\u003c/ul\u003e \n\u003cp\u003e找到一个可以满足以上条件的画法,可知画法一定存在。\u003c/p\u003e\u003cscript defer src\u003d\u0027CDN_BASE_URL/74926ad0182dbb356381d53a4e4b1439?v\u003d1556371067\u0027\u003e\u003c/script\u003e\u003cscript defer src\u003d\u0027CDN_BASE_URL/1de9ac635832b17871587cdd2336341c?v\u003d1556371067\u0027\u003e\u003c/script\u003e\u003cscript defer src\u003d\u0027CDN_BASE_URL/c9c34e29d77252102cd6d6f257f3a667?v\u003d1556371067\u0027\u003e\u003c/script\u003e\u003cscript defer src\u003d\u0027CDN_BASE_URL/57b8c019c6e6f632d03c6077520eb5f6?v\u003d1556371067\u0027\u003e\u003c/script\u003e"}},{"title":"Constraints","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cul\u003e \n \u003cli\u003e\u003cvar\u003e1 ≤ H, W ≤ 100\u003c/var\u003e\u003c/li\u003e \n \u003cli\u003e\u003cvar\u003e1 ≤ N ≤ H W\u003c/var\u003e\u003c/li\u003e \n \u003cli\u003e\u003cvar\u003ea_i ≥ 1\u003c/var\u003e\u003c/li\u003e \n \u003cli\u003e\u003cvar\u003ea_1 + a_2 + ... + a_N \u003d H W\u003c/var\u003e\u003c/li\u003e \n\u003c/ul\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cp\u003e输入按照以下格式输入\u003c/p\u003e \n\u003cpre\u003e\u003cvar\u003eH\u003c/var\u003e \u003cvar\u003eW\u003c/var\u003e\n\u003cvar\u003eN\u003c/var\u003e\n\u003cvar\u003ea_1\u003c/var\u003e \u003cvar\u003ea_2\u003c/var\u003e \u003cvar\u003e...\u003c/var\u003e \u003cvar\u003ea_N\u003c/var\u003e\n\u003c/pre\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cp\u003e打印出一种满足条件的画法,请按照以下格式输出\u003c/p\u003e \n\u003cpre\u003e\u003cvar\u003ec_{1 1}\u003c/var\u003e \u003cvar\u003e...\u003c/var\u003e \u003cvar\u003ec_{1 W}\u003c/var\u003e\n\u003cvar\u003e:\u003c/var\u003e\n\u003cvar\u003ec_{H 1}\u003c/var\u003e \u003cvar\u003e...\u003c/var\u003e \u003cvar\u003ec_{H W}\u003c/var\u003e\n\u003c/pre\u003e \n\u003cp\u003e这里, \u003cvar\u003ec_{i j}\u003c/var\u003e是方阵的第i \u003cvar\u003ei\u003c/var\u003e行从上向下 ,\u003cvar\u003ej\u003c/var\u003e是列号从左向右数。\u003c/p\u003e"}},{"title":"Sample Input 1","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e2 2\n3\n2 1 1\n\u003c/pre\u003e"}},{"title":"Sample Output 1","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e1 1\n2 3\n\u003c/pre\u003e \n\u003cp\u003e下面是个无效样例\u003c/p\u003e \n\u003cpre\u003e1 2\n3 1\n\u003c/pre\u003e \n\u003cp\u003e这是因为颜色\u003cvar\u003e1\u003c/var\u003e 并不是一个四方向联通的颜色\u003c/p\u003e"}},{"title":"Sample Input 2","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e3 5\n5\n1 2 3 4 5\n\u003c/pre\u003e"}},{"title":"Sample Output 2","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e1 4 4 4 3\n2 5 4 5 3\n2 5 5 5 3\n\u003c/pre\u003e"}},{"title":"Sample Input 3","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e1 1\n1\n1\n\u003c/pre\u003e"}},{"title":"Sample Output 3","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e1\n\u003c/pre\u003e"}}]}