{"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\"\u003eRounddog always has an array $a_1, a_2, \\cdots, a_n$ in his right pocket, satisfying $1 \\le a_i \\le n$.\u003cbr\u003e\u003cbr\u003eA subarray is a non-empty subsegment of the original array. Rounddog defines a good subarray as a subsegment $a_l, a_{l+1}, \\cdots, a_r$ that all elements in it are different and $\\max({a_l, a_{l+1}, \\ldots, a_r}) - (r - l + 1) \\leq k$.\u003cbr\u003e\u003cbr\u003eRounddog is not happy today. As his best friend, you want to find all good subarrays of $a$ to make him happy. In this case, please calculate the total number of good subarrays of $a$. \u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The input contains several test cases, and the first line contains a single integer $T~(1 \\leq T \\leq 20)$, the number of test cases.\u003cbr\u003e\u003cbr\u003eThe first line of each test case contains two integers $n~(1\\leq n \\le 300\\,000)$ and $k~(1\\leq k \\le 300\\,000)$.\u003cbr\u003e\u003cbr\u003eThe second line contains $n$ integers, the $i$-th of which is $a_i~(1 \\le a_i \\le n)$.\u003cbr\u003e\u003cbr\u003eIt is guaranteed that the sum of $n$ over all test cases never exceeds $1\\,000\\,000$.\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"One integer for each test case, representing the number of subarrays Rounddog likes.\u003cbr\u003e"}},{"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\u003e2\r\n5 3\r\n2 3 2 2 5\r\n10 4\r\n1 5 4 3 6 2 10 8 4 5\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e7\r\n31\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}