{"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\u003eTakahashi is a martial artist.\r\nThere are \u003cvar\u003e\\(N\\)\u003c/var\u003e moves that a martial artist can learn, called Move \u003cvar\u003e\\(1\\)\u003c/var\u003e, \u003cvar\u003e\\(2\\)\u003c/var\u003e, \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e, \u003cvar\u003e\\(N\\)\u003c/var\u003e.\r\nFor each \u003cvar\u003e\\(1 \\leq i \\leq N\\)\u003c/var\u003e, it takes \u003cvar\u003e\\(T_i\\)\u003c/var\u003e minutes of practice to learn Move \u003cvar\u003e\\(i\\)\u003c/var\u003e.\r\nAdditionally, at the beginning of that practice, all of the Moves \u003cvar\u003e\\(A_{i,1}\\)\u003c/var\u003e, \u003cvar\u003e\\(A_{i,2}\\)\u003c/var\u003e, \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e, \u003cvar\u003e\\(A_{i,K_i}\\)\u003c/var\u003e must be already learned.\r\nHere, it is guaranteed that \u003cvar\u003e\\(A_{i,j} \u0026lt; i\\)\u003c/var\u003e for each \u003cvar\u003e\\(1 \\leq j \\leq K_i\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003cp\u003eTakahashi has not learned any move at time \u003cvar\u003e\\(0\\)\u003c/var\u003e.\r\nHe cannot practice for more than one move simultaneously, nor can he stop a practice he has already started.\r\nFind the minimum number of minutes needed for Takahashi to learn Move \u003cvar\u003e\\(N\\)\u003c/var\u003e.\u003c/p\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\\(1 \\leq N \\leq 2\\times 10^5\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq T_i \\leq 10^9\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(0 \\leq K_i \u0026lt; i\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 \\leq A_{i,j} \u0026lt; i\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(\\sum_{i\u003d1}^N K_i \\leq 2\\times 10^5\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(A_{i,1}\\)\u003c/var\u003e, \u003cvar\u003e\\(A_{i,2}\\)\u003c/var\u003e, \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e, \u003cvar\u003e\\(A_{i,K_i}\\)\u003c/var\u003e are all distinct.\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\\(N\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(T_1\\)\u003c/var\u003e \u003cvar\u003e\\(K_1\\)\u003c/var\u003e \u003cvar\u003e\\(A_{1,1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{1,2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{1,K_1}\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(T_2\\)\u003c/var\u003e \u003cvar\u003e\\(K_2\\)\u003c/var\u003e \u003cvar\u003e\\(A_{2,1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{2,2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{2,K_2}\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(\\vdots\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(T_N\\)\u003c/var\u003e \u003cvar\u003e\\(K_N\\)\u003c/var\u003e \u003cvar\u003e\\(A_{N,1}\\)\u003c/var\u003e \u003cvar\u003e\\(A_{N,2}\\)\u003c/var\u003e \u003cvar\u003e\\(\\ldots\\)\u003c/var\u003e \u003cvar\u003e\\(A_{N,K_N}\\)\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\u003ePrint the minimum number of minutes needed for Takahashi to learn Move \u003cvar\u003e\\(N\\)\u003c/var\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\r\n3 0\r\n5 1 1\r\n7 1 1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e10\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\u003eHere is one possible plan for Takahashi.\u003c/p\u003e\r\n\u003cul\u003e\r\n\u003cli\u003eAt time \u003cvar\u003e\\(0\\)\u003c/var\u003e, start practicing for Move \u003cvar\u003e\\(1\\)\u003c/var\u003e to learn Move \u003cvar\u003e\\(1\\)\u003c/var\u003e at time \u003cvar\u003e\\(3\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003cli\u003eThen, at time \u003cvar\u003e\\(3\\)\u003c/var\u003e, start practicing for Move \u003cvar\u003e\\(3\\)\u003c/var\u003e to learn Move \u003cvar\u003e\\(3\\)\u003c/var\u003e at time \u003cvar\u003e\\(10\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003cp\u003eHere, Takahashi spends \u003cvar\u003e\\(3+7\u003d10\\)\u003c/var\u003e minutes to learn Move \u003cvar\u003e\\(3\\)\u003c/var\u003e, which is the fastest possible.\r\nNote that he does not need to learn Move \u003cvar\u003e\\(2\\)\u003c/var\u003e to learn Move \u003cvar\u003e\\(3\\)\u003c/var\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\u003e5\r\n1000000000 0\r\n1000000000 0\r\n1000000000 0\r\n1000000000 0\r\n1000000000 4 1 2 3 4\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5000000000\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\u003eNote that the answer may not fit into a \u003cvar\u003e\\(32\\)\u003c/var\u003e-bit integer.\u003c/p\u003e\u003c/section\u003e\r\n"}}]}