{"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\"\u003eF(x) is a polynomial in x with integer coefficients, here F(x) \u003d (1+x)^a1 + (1+x)^a2 + ... + (1+x)^am. Given a1, a2, ... , am, find number of odd coefficients of F(x).\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains a single positive integer T( T \u0026lt;\u003d 10000 ), indicates the number of test cases.\u003cbr\u003eFor each test case: \u003cbr\u003eFirst line contains an integer N(1 \u0026lt;\u003d N \u0026lt;\u003d 15).\u003cbr\u003eSecond line contains N integers a1, a2, ..., am ( 0 \u0026lt;\u003d ai \u0026lt;\u003d 2^45 )\u003cbr\u003e"}},{"title":"Output","value":{"format":"HTML","content":"For each test case: output the case number as shown and an the odd coefficients of F(x).\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\u003e4\r\n1\r\n1\r\n1\r\n3\r\n2\r\n1 3\r\n3\r\n1 2 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1: 2\r\nCase #2: 4\r\nCase #3: 2\r\nCase #4: 2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Hint","value":{"format":"HTML","content":"Case #3: (1+x) + (1+x)^3 \u003d 2 + 4x + 3x^2 + x^3. it contains 2 odd coefficients.\u003cbr\u003eCase #4: (1+x) + (1+x)^2 + (1+x)^3 \u003d 3 + 6x + 4x^2 + x^3. it contains 2 odd coefficients."}}]}