{"trustable":true,"prependHtml":"\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eThis class is on art. Mr. Picasso gives every baby a piece of white drawing paper and let them paint on it.\u003cbr\u003e\u003cbr\u003eBaby Volcano is going to color the drawing paper black. For convenience, the drawing paper can be regarded as a Cartesian coordinate system, and initially, all points on it is white.\u003cbr\u003e\u003cbr\u003eBaby Volcano plans to paint the drawing paper in $n$ steps. In the $i$th step, he will color rectangular $R_i$ black, where the lower left corner of $R_i$ is $(l_i,0)$, the upper right corner of $R_i$ is $(r_i,h_i)$. \u003cbr\u003e\u003cbr\u003eLet $P_i$ be the drawing paper after the first $i$ steps, your task is to calculate the perimeter of black area on $P_i$.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains a single integer $t(1 \\leq t \\leq 100)$, the number of testcases.\u003cbr\u003e\u003cbr\u003eFor each testcase, the first line contains a single integer $n(1 \\leq n \\leq 2 \\times 10^5)$, the number of steps.\u003cbr\u003e\u003cbr\u003eThen $n$ lines follow. Each line contains $3$ integers $l_i,r_i,h_i (1 \\leq l_i, \u0026lt; r_i \\leq 10^9, 1 \\leq h_i \\leq 10^9)$.\u003cbr\u003e\u003cbr\u003eThe input guarantees that there are no more than $3$ testcases with $n \u0026gt; 1000$."}},{"title":"Output","value":{"format":"HTML","content":"For each testcase, output $n$ lines. Each line contains a single integer, representing the perimeter of black area after the first $i$ steps."}},{"title":"Sample","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\u003e1\r\n6\r\n1 2 2\r\n3 4 3\r\n5 6 2\r\n1 4 1\r\n2 6 1\r\n3 7 4\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6\r\n14\r\n20\r\n20\r\n20\r\n22\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}