{"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\"\u003eGiven $A,B,K,W$, Kanade wants to know the number of $(x,y)$ which satisfies the following conditions:\u003cbr\u003e\u003cbr\u003e1. $x,y$ are integers\u003cbr\u003e\u003cbr\u003e2. $x\\in [0,A],y\\in [0,B]$\u003cbr\u003e\u003cbr\u003e3. $|x-y|\\leq K$\u003cbr\u003e\u003cbr\u003e4. $x~xor~y\\leq W$\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are $T$ test cases in this problem.\u003cbr\u003e\u003cbr\u003eThe first line has 1 integer $T$.\u003cbr\u003e\u003cbr\u003eThen for every test case, the first line has 4 integers $A,B,K,W$\u003cbr\u003e\u003cbr\u003e$1\\leq T\\leq 2000$\u003cbr\u003e\u003cbr\u003e$0\\leq A,B,K,W\\leq 10^9$"}},{"title":"Output","value":{"format":"HTML","content":"For every test case, output the answer in a line."}},{"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\u003e3\r\n3 3 1 2\r\n10 10 3 7\r\n998244353 998244353 114514 123456789\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e8\r\n53\r\n228430202591616\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}