{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n #problem-body \u003e 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","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv id\u003d\"problem-body\"\u003e\n\t\u003cp\u003eA N × N matrix is filled with numbers. BuggyD is analyzing the matrix, and he wants the sum of certain submatrices every now and then, so he wants a system where he can get his results from a query. Also, the matrix is dynamic, and the value of any cell can be changed with a command in such a system.\u003c/p\u003e\r\n\r\n\u003cp\u003eAssume that initially, all the cells of the matrix are filled with 0. Design such a system for BuggyD. Read the input format for further details.\u003c/p\u003e\r\n\r\n\u003ch3\u003eInput\u003c/h3\u003e\r\n\u003cp\u003eThe first line of the input contains an integer \u003cb\u003et\u003c/b\u003e, the number of test cases. \u003cb\u003et\u003c/b\u003e test cases follow.\u003c/p\u003e\r\n\r\n\u003cp\u003eThe first line of each test case contains a single integer \u003cb\u003eN\u003c/b\u003e (1 \u0026lt;\u003d \u003cb\u003eN\u003c/b\u003e \u0026lt;\u003d 1024), denoting the size of the matrix.\r\n\u003c/p\u003e\u003cp\u003eA list of commands follows, which will be in one of the following three formats (quotes are for clarity):\u003c/p\u003e\r\n\r\n\u003col\u003e\r\n\u003cli\u003e\u003ctt\u003e\"SET x y num\"\u003c/tt\u003e - Set the value at cell (x, y) to num (0 \u0026lt;\u003d x, y \u0026lt; \u003cb\u003eN\u003c/b\u003e).\u003c/li\u003e\r\n\u003cli\u003e\u003ctt\u003e\"SUM x1 y1 x2 y2\"\u003c/tt\u003e - Find and print the sum of the values in the rectangle from (x1, y1) to (x2, y2), inclusive. You may assume that x1 \u0026lt;\u003d x2 and y1 \u0026lt;\u003d y2, and that the result will fit in a signed 32-bit integer.\u003c/li\u003e\r\n\u003cli\u003e\u003ctt\u003e\"END\"\u003c/tt\u003e - Indicates the end of the test case.\u003c/li\u003e\r\n\u003c/ol\u003e\r\n\r\n\u003ch3\u003eOutput\u003c/h3\u003e\r\n\u003cp\u003eFor each test case, output one line for the answer to each \"SUM\" command. Print a blank line after each test case.\u003c/p\u003e\r\n\r\n\u003ch3\u003eExample\u003c/h3\u003e\r\n\r\n\u003cdiv\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e1\r\n4\r\nSET 0 0 1\r\nSUM 0 0 3 3\r\nSET 2 2 12\r\nSUM 2 2 2 2\r\nSUM 2 2 3 3\r\nSUM 0 0 2 2\r\nEND\r\n\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\r\n12\r\n12\r\n13\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e\r\n\r\n\u003ccenter\u003e\u003cb\u003eWarning: large Input/Output data, be careful with certain languages\u003c/b\u003e\u003c/center\u003e\n\u003c/div\u003e"}}]}