{"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\"\u003eNeko has a loop of size $n$.\u003cbr\u003eThe loop has a happy value $a_{i}$ on the $i-th(0 \\leq i \\leq n - 1)$ grid. \u003cbr\u003eNeko likes to jump on the loop.She can start at anywhere. If she stands at $i-th$ grid, she will get $a_{i}$ happy value, and she can spend one unit energy to go to $((i + k) \\bmod n)-th$ grid. If she has already visited this grid, she can get happy value again. Neko can choose jump to next grid if she has energy or end at anywhere. \u003cbr\u003eNeko has $m$ unit energies and she wants to achieve at least $s$ happy value.\u003cbr\u003eHow much happy value does she need at least before she jumps so that she can get at least $s$ happy value? Please note that the happy value which neko has is a non-negative number initially, but it can become negative number when jumping.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains only one integer $T ( T \\leq 50)$, which indicates the number of test cases. \u003cbr\u003eFor each test case, the first line contains four integers $n, s, m, k(1 \\leq n \\leq 10^4, 1 \\leq s \\leq 10^{18}, 1 \\leq m \\leq 10^9, 1 \\leq k \\leq n)$.\u003cbr\u003eThe next line contains $n$ integers, the $i-th$ integer is $a_{i-1}(-10^9 \\leq a_{i-1} \\leq 10^9)$\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output one line \"Case #x: y\", where x is the case number (starting from 1) and y is the answer."}},{"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\n3 10 5 2\r\n3 2 1\r\n5 20 6 3\r\n2 3 2 1 5\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1: 0\r\nCase #2: 2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}