{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\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 type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given an array \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e consisting of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integers. A subarray \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003el\u003c/i\u003e, \u003ci\u003er\u003c/i\u003e)\u003c/span\u003e from array \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e is defined as non-empty sequence of consecutive elements \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003el\u003c/i\u003e\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003el\u003c/i\u003e + 1\u003c/sub\u003e, ..., \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003er\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe beauty of a subarray \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003el\u003c/i\u003e, \u003ci\u003er\u003c/i\u003e)\u003c/span\u003e is calculated as the \u003cspan class\u003d\"tex-font-style-tt\"\u003ebitwise AND\u003c/span\u003e for all elements in the subarray: \u003c/p\u003e\u003ccenter\u003e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eBeauty\u003c/i\u003e(\u003ci\u003el\u003c/i\u003e, \u003ci\u003er\u003c/i\u003e)\u003c/span\u003e \u003d \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003el\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003el\u003c/i\u003e + 1\u003c/sub\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003el\u003c/i\u003e + 2\u003c/sub\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e...\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003er\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e \u003c/center\u003e\u003cp\u003eYour task is to calculate the summation of the beauty of all subarrays \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003el\u003c/i\u003e, \u003ci\u003er\u003c/i\u003e)\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003el\u003c/i\u003e ≤ \u003ci\u003er\u003c/i\u003e ≤ \u003ci\u003en\u003c/i\u003e)\u003c/span\u003e: \u003c/p\u003e\u003ccenter class\u003d\"tex-equation\"\u003e\u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/888d8536e0c97408fbc3fc38aa47118a?v\u003d1715885407\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e\u003c/center\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e is the number of test cases.\u003c/p\u003e\u003cp\u003eThe first line of each test case contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e)\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e is the size of the array \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe second line of each test case contains \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e1\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e2\u003c/sub\u003e, ..., \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e6\u003c/sup\u003e)\u003c/span\u003e, giving the array \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, print a single line containing the summation of the beauty of all subarrays in the given array.\u003c/p\u003e"}},{"title":"Examples","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\n3\n7 11 9\n4\n11 9 6 11\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e40\n48\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eAs input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use \u003cspan class\u003d\"tex-font-style-tt\"\u003escanf/printf\u003c/span\u003e instead of \u003cspan class\u003d\"tex-font-style-tt\"\u003ecin/cout\u003c/span\u003e in C++, prefer to use \u003cspan class\u003d\"tex-font-style-tt\"\u003eBufferedReader/PrintWriter\u003c/span\u003e instead of \u003cspan class\u003d\"tex-font-style-tt\"\u003eScanner/System.out\u003c/span\u003e in Java.\u003c/p\u003e\u003cp\u003eA \u003cspan class\u003d\"tex-font-style-tt\"\u003ebitwise AND\u003c/span\u003e takes two equal-length binary representations and performs the logical \u003cspan class\u003d\"tex-font-style-tt\"\u003eAND\u003c/span\u003e operation on each pair of the corresponding bits, by multiplying them. Thus, if both bits in the compared position are 1, the bit in the resulting binary representation is 1 (1 \u003cspan class\u003d\"tex-span\"\u003e × \u003c/span\u003e 1 \u003d 1); otherwise, the result is 0 (1 \u003cspan class\u003d\"tex-span\"\u003e × \u003c/span\u003e 0 \u003d 0 and 0 \u003cspan class\u003d\"tex-span\"\u003e × \u003c/span\u003e 0 \u003d 0). This operation exists in all modern programming languages, for example in language C++ and Java it is marked as \u003cspan class\u003d\"tex-font-style-bf\"\u003e\u0026amp;\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eIn the first test case, the answer is calculated as summation of 6 subarrays as follow: \u003c/p\u003e\u003ccenter class\u003d\"tex-equation\"\u003e\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eBeauty\u003c/i\u003e(1, 1) + \u003ci\u003eBeauty\u003c/i\u003e(\u003ci\u003el\u003c/i\u003e, 2) + \u003ci\u003eBeauty\u003c/i\u003e(1, 3) + \u003ci\u003eBeauty\u003c/i\u003e(2, 2) + \u003ci\u003eBeauty\u003c/i\u003e(2, 3) + \u003ci\u003eBeauty\u003c/i\u003e(3, 3)\u003c/span\u003e\u003c/center\u003e \u003ccenter\u003e (7) + (7 \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e 11) + (7 \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e 11 \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e 9) + (11) + (11 \u003cspan class\u003d\"tex-span\"\u003e\u0026amp;\u003c/span\u003e 9) + (9) \u003d 40 \u003c/center\u003e"}}]}