{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":" \u003cbr\u003eAn \u003ci\u003ecornerless tiling\u003c/i\u003e of an \u003ci\u003em\u003c/i\u003ex \u003ci\u003en\u003c/i\u003e rectangle is such tiling of this rectangle with 1x 2 and 2x 1 dominoes that no four dominoes share a corner.\u003cbr\u003eFor example, here are the two possible cornerless tilings of 4x 4 square:\u003cbr\u003e\u003cdiv style\u003d\"text-align: center;margin-bottom: 1.0em;\"\u003e\u003cimg src\u003d\"CDN_BASE_URL/b92c3a992e9f5b7ad6a941be5d21ecd9?v\u003d1715443690\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e\u003c/div\u003eHow many cornerless tilings of \u003ci\u003em\u003c/i\u003ex \u003ci\u003en\u003c/i\u003e rectangle are there?\u003cbr\u003e\u003cdiv align\u003d\"left\" style\u003d\"margin-top: 1.0em;\"\u003e\u003cb\u003eInput\u003c/b\u003e\u003c/div\u003eFirst and only line of the input file contains two integers \u003ci\u003em\u003c/i\u003e and \u003ci\u003en\u003c/i\u003e, 1 ≤ \u003ci\u003en\u003c/i\u003e, \u003ci\u003em\u003c/i\u003e ≤ 1000.\u003cbr\u003e\u003cdiv align\u003d\"left\" style\u003d\"margin-top: 1.0em;\"\u003e\u003cb\u003eOutput\u003c/b\u003e\u003c/div\u003eIn the only line of the output file write the sought number of tilings.\u003cbr\u003e"}},{"title":"Sample 1","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 4\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}