{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":2325,"title":"GJam 2014 Rd 1c: Reordering Train Cars (Large)","description":"This Challenge is derived from \u003chttp://code.google.com/codejam/contest/3004486/dashboard#s=p1 GJam 2014 Rd 1c: Reordering Train Cars (Large)\u003e.\r\n\r\nDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\r\n\r\n*Input:* s, string of N space separated string segments of letters [a..z]. 1\u003c=N\u003c=100. Total letters \u003c=100.\r\n\r\n*Output:* val, number of possible sequences, modulo 1,000,000,007\r\n\r\n*Example:*  Small Train Case examples \r\n\r\n  ab bbbc cd Val=1 as only abbbbccd can be created\r\n  aa aa bc c Val=4 aa gives 2 positions, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\r\n  abc bcd  Val=0 as c is internal and thus can not connect to c of abc\r\n\r\n*Theory:* \u003chttp://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars Train Small Spoilers\u003e\r\n\r\nLarge Case specific info. See \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow Usage of java math\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\r\n\r\n\r\nAdditional GJam solutions can be found at \u003chttp://go-hero.net/jam Example GJam Matlab solutions\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the contest.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 408.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 204.15px; transform-origin: 407px 204.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 7.91667px; transform-origin: 94.5333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis Challenge is derived from\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://code.google.com/codejam/contest/3004486/dashboard#s=p1\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGJam 2014 Rd 1c: Reordering Train Cars (Large)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.783px 7.91667px; transform-origin: 373.783px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4333px 7.91667px; transform-origin: 19.4333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eInput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.4px 7.91667px; transform-origin: 296.4px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e s, string of N space separated string segments of letters [a..z]. 1\u0026lt;=N\u0026lt;=100. Total letters \u0026lt;=100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2667px 7.91667px; transform-origin: 25.2667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.233px 7.91667px; transform-origin: 183.233px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e val, number of possible sequences, modulo 1,000,000,007\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1167px 7.91667px; transform-origin: 31.1167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.2667px 7.91667px; transform-origin: 87.2667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Small Train Case examples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 184.8px 7.91667px; transform-origin: 184.8px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; \"\u003eab \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 173.25px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 173.25px 7.91667px; \"\u003ebbbc cd Val=1 as only abbbbccd can be created\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 327.25px 7.91667px; transform-origin: 327.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; \"\u003eaa \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 130.9px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 130.9px 7.91667px; \"\u003eaa bc c Val=4 aa gives 2 positions\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 184.8px 7.91667px; transform-origin: 184.8px 7.91667px; \"\u003e, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 261.8px 7.91667px; transform-origin: 261.8px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 15.4px 7.91667px; transform-origin: 15.4px 7.91667px; \"\u003eabc \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 11.55px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 11.55px 7.91667px; \"\u003ebcd\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; \"\u003e  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 227.15px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 227.15px 7.91667px; \"\u003eVal=0 as c is internal and thus can not connect to c of abc\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.6667px 7.91667px; transform-origin: 25.6667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTheory:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eTrain Small Spoilers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.0333px 7.91667px; transform-origin: 91.0333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLarge Case specific info. See\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUsage of java math\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 199.05px 7.91667px; transform-origin: 199.05px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.083px 7.91667px; transform-origin: 131.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAdditional GJam solutions can be found at\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://go-hero.net/jam\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eExample GJam Matlab solutions\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 139.267px 7.91667px; transform-origin: 139.267px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the contest.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function val=train(s)\r\n% s is a string of strings separated by a space\r\n val=0;\r\n vstr=regexp(s,' ','split');\r\nend","test_suite":"%%\r\ns='wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww gggggggggggggg ddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddd dddddddddddddddddddddd dddddd dddddddddddddd dddddddddddddddddddddddddddddddddddddddddddd xxxxxxxttttttttteeeeeeppppppppppppllllllliiiiiiiifffffffffffffffmmmmmmmmmmmjjjjjjjhhhhhhhhhh uuuuuuuuubbbbbbcccccccvvvvvvvvvvkkkkkkqqqqqaaayyyyyyooooooooooonnnnnnnnnnnnrrrrrzz dddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd d ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddd ddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd';\r\nVexp=728878867;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ggi aaaaaaayy iiiaaaaaaa lllllllgggggg iiiiiooooooooo';\r\nVexp=0;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ssssssssssssssssssssbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccc jjjjjjjjjjjjjjjjjjddddddddddddggggggggggggggggg qqqqqqqqqqqqffffffffffffffffffuuuuuuuuuuuuuuaaaaaaaaaaaaaaaaaa ccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkmmmmmmmmmmmmmmmmjjjjjjjjjjjjjjjjj cccccccccccccccccccccccccccllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeecccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiieeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnzzz bbbbbbbbbbbbbbbbrrrrrrrrrrrrrnnnnnnnnnnnn ggggggggggggggggggggggggggggggggggqqqqqqqqqqqqqqqqqqqqqqqqqqq hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh eeeeeeeeeeeeee zzzzzzzzzzzzzzz aaaaaaaaaaaaaaaaaaaaaaaaappppppppppppppppppppssssssssssssssssssssssss';\r\nVexp=2;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='kkkkkkkkkkkkkkkkkkkkk llllaaaaaa gggggggggggghhhhhhhhhhh lllllllllllllllllllllllllllllllllllllll bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy aaaaaaaaa vvvvvvvvvv yyyyyyyyy xxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gggggggggggggggggggggggggggg ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss iiiiiiiiiiimmmmmmmmmmmmmmmmmmmm vvvvvvvvvvvvvvvvvvvvvvvvv ssssssssssssssssssssssssssuuuuuuuuuuuuuuuuuuuuuuuuuuuuu vvvvvvvvvvvvvv uuuuuuuuuuuuuuuuuuuiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttteeeeeeeeeeeeeeeeeeeeeeeeee oooooooooooooooooooooooooooooooooooooooooooo nnnnnnnjjjjjjjjjjjjjjjddddddddddd oooooooooooooooooooooooooooooooooooooooooogggggggggggggggggggggggggggggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooooooooooooooooooooooooooooo vvvvvvvvvvvvvvvvvvvvvvvv bwwwwwwwwoooooo sssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ffffffffffffffffffffffffffffffffffffff kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzbbbbbbbbbbbbbbbbbbbbbbbbbbb ooooooooooo kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeexxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx pppppppppppppppppppppppppppppppppppppppppppppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv qqqqlllll mmmmmmmmmmmtttttttt uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ccccccccccccccccccckkkkkkk yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaannnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqq';\r\nVexp=265420800;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrrrrrrjjjjjjjjnnnnnnnyyyyyyxxxxxlllltttttttt';\r\nVexp=1;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwww yy wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh yyyyyyyyyyyyyyyyyyyyyyyyyyyyyiiiiiiiiiiiiiiiiiiiiiiiiii ggggggggggggggggggggggggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwww xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx vvvvvvvvvvvvvvvvvv aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaalllllllllllllllllllllllllllllllllllllllllllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnttttttttttttttttkkkkkkkkkkkkkkkjjjjjjjjjjjjjooooooooooooooooooo bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwww lllllllllllllllllllllllllllllllgggggggggggggggggggggggggggggg wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww uuuuuuuuuuuuuuuuuuuuuuuuuuuuu wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh yyyyyyyyyyyyyyyyy wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww mmmmmmmmmmmmeeeeeeeeeeeesssssssssdddddddddddzzzzzzzzzzzzzzzzrrrrrrrrrrrrrrrrrffffffqqqqqqqqqqqqqqq bbbbbbbbbbbbbbbbbbbbbbpppppppppppppppppppppppppppppppppyyyyyyyyyyyyyyyyyyyyyyy yyyyyyyyyyyyyyyyyyyyyy';\r\nVexp=161166448;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttt qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq vvvvvvvvvvvvvvvvvvv lllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv jjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vv tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttt zzzzzrrrraaaaaasssssssseeeeeegggggggiiiooooooooooooobbbbbbbbkkkkkkkkkkyyyyyyyyyyywwwwwwww tttttttttttttttttttttttttttttttttttttttttttttttt vvvvvvvvvvvvvvvmmmmmmmmmmmmmmmmmmmmmmmmmmmmm tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt lllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnndddddddddddddddddddddddddddxxxxxxxxxxxxxxxx tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttt ffffffffffffffffffffffffffffffffffjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhllllllllllllllllllllllllllllllllllllllllll tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt pppppppppppppppppppppppuuuuuuuuuuuuuuuuuuuuuuuuuuucccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmm mmmmfffffffff jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj tttttttttttttttttttt';\r\nVexp=459335393;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ppppppp aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ttttttttttttttttttttttttttttaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddddddddddddddddpppppppppppppppp hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh xxxxxxxxxxxxxxxxxxxxxxxxxxxx hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaavvvvvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyykkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh pppppppppppppppppppppppppppjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhh pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnnnooooooooouuuuuuuuuuurrrrrrrrrrrwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh wwwwwwwwwwwwwwwwwwwwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sssssssssssssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ttttttttttttttt zzzzzzzzzzzzzzzzzzzzz ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ccccccccccccccccceeeeeeeeeeeeeeeeeeemmmmmmmmmmmmmmmmm ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh fffffffffffqqqqqqqqqqqq yyy vvvvvvvvvvvvvvvvvvv xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz aaaaaaaaaaaaaaaaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj zzzzzzzzzzzzzzzzzz zzzzzzzzzzzzzbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhh ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd kkkkkkkkkkkkkkkkkkkkkkkkkkkkkzzzzzzzzzzzzzzzzzzzzzzzzzzzzz vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss hhhhhhhh iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ss hhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbsssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh dddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhh tttttttttttttttttttttttttttttttttttttttttttttttt bbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxtttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhh zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz hhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh';\r\nVexp=893810165;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhsssssssssssssssssssssssssss gggggggggggggggggggggggggggggggggggggg wwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ggggggggggggggggggggggggggggggggggggg qqqqqqqqqqqqqqqqqqwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii lllllllllllllllllllllllll ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj lllllllllllllllllyyyyyyyyyyyyyyyy qqqqqqqqqq wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww pppp bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh mmm sssssssssssssssssssssssssllllllllllllllllllll mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm iiiiiiiiigggggg mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii gggggggggqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq fffffffvvvvccccccccccccoooooddddddddd uuuuuuuuuuuuuuuuaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrzzzzzzzzzzzzzzztttttttttttteeeeeeeeeeeeeeeeee ppppppppppppppppppppp hhhhhh ssss ppppppppppppppppppppppppppppppppxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx wwwwwwwwwwwwwwwwwmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkpppppppppppppppppppppppppppppppppppppppppppppppppp xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx yyyyyyyyy xxxxxxxxxxxxxxxxxxxxjjjjjjjjjjjjjjjjjjj lllllllllllllllllllll mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg wwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk';\r\nVexp=588556762;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii oooooooooooooooooooooooooooooooaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooooooooooooooo llllllllllllllllllllllllllllllllllllll bbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx aaaaaaaaaaaaaaaaa xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc oooooooooooooooooo cccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiii oooooooooooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj iiiiiiiiiiiiii jjjjjjjjjjjjjjjjjjjjjjjwwwwwwwwwwwwwwwwwwwwww ooooooooooooooooooooooooooooooooooooooooooooooo bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbboooooooooooooooooooooooooooooooooooooooooooooooooooooooo ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa oooooooooooooooooooooooooooooooooooooooooooo iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ccccccccccccccccccccccccccccccccccccccccc bbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaa uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ooooooooooooooooooooo uuuu cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx kkkkkkkkkkkkk uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkllllllllllllllllllllllllllllllllllllllllllllll aaaaaaiiiiiiiiiiiiii uuuuuuuuuuuuu kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccckkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo iiiiiiii eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjjjjjjjjjjjjjjjjj nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxx llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll iiiiiiiiiiiiiiiiiiiiiiiiii nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxeeeeeeeeeeeeeeeeeeee wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww llllllllllllllllllllllllllllllllllllllllllllllllllllllll eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa uuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee oooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ii iiiiiiiiiiiiiiuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxx lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwww aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa llllllllllllllllllllllll eeeeeeeeeeeeeeeeeee lllllllllllllllllllllllllllllllllllllllllllllllll ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc';\r\nVexp=125298902;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='hhhhhhhhhvvvvv kkhh ppmmmmmmmmm zzxxx sssccccccc fffffffqq yyyyyyyeeeeee xxxxxxxxi eeeeeeeeaaaaaaaa jjjppppppp ddddf cccccrrrrrrrr';\r\nVexp=720;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr tttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ppppppppppppppppppppppppppppppppppppppppppppyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz nnnnnnnnnnnnnnnnnnnnnnn qqqqqqqqqqqq llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll yyyyyyyyyyyyyyyyyyyyy ttttttttttttttttttttttttttttttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzppppppppppppppppppppppppppppppppppppppppppp ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy ffffffffffff iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ddddddddddddddddddddddddssssssssssssssssssssssssssssssss qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu zzzzzzzzzzzzzzzzzzz rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr cccccccccccccccccccccccccccccccccccccccccccc rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaa pppppppppppppppppppppppppppp yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy ccccccccccccccccccccccccc cccccccccccc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa iiiiiiiiiiiiiiiiiiivvvvvvvvvvvvvvvvvvvvdddddddddddddddddd cccccccccccccccccaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwooooooooooooooooooooo yyyyy llllllllllllllbbbbbbbbbbbbbbbbbbbbbuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy fffffffffffffffffffffffffffffffffzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr tttttttttttttttttttttttttttttttttttttttttttffffffffffffffffffffffffffffffffffffffff sssssssssssssssssssssssssss xxxxxxxxxxxxxxxxxxxxxx yyyyyqqqqqqq ffffffffff ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxx gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq ooooooooooooooooooooooooooooooooooooo rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr xxxxxxxxxxxxxxxxxxxxxxxxxxxxxeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii qqqqqqqqqqqqqqqqqqqqqqqqnnnnnnnnnnnnnnnnnnnn jjjjjjj ssssssssssssssssssssssssssssssssssssssssssswwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy jjjjjjjjjjjjjjjjjjjjjjjjjjjjjcccccccccccccccccccccccccccccccccc tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ggggggggggggggggggggggggggllllllllllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc qqqqqqqqqqqqqqqqqqqqqqqqq rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ssssssss cccccccccccccccccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj tttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx jjjjjjjjjjjjjjjjjjjjjj';\r\nVexp=45590719;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh mmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmm mmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll xxxxxxvvvvvvvvvvvvvoooooojjjjjjjjaaaaaaaffffffffppppppppyyyyyykkkkkkkkkqqqqqqqqqqrrrrrr mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm wwwwwwwnnnneeeeeeesssssuuuuuuuuuudddddddddiiiiiiii mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmm mmmmmmmmmmmmmmm ggggggggggggggggggggggggggggggcccccccccccccccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt';\r\nVexp=757993753;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggggggggggg iihhhhhhaaaaaaaaallmmmmmeeedddddbbbbbbppssssssoooovvvvvvffffftttttttttqqqqqkkkkkknnnnn uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu rrrrrrrrrrrrrrrrrrrrrrrrrr gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggg rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=16857327;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ccccccccccccccccccccccccccccccccccccccc zzzzzzzzzzzzzzzzzzzzzzzzzzzzzrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr llllllllllllllllllllllllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll tttttttttttaaaaaaaaakkkkkk qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq ccccccccccc uuuuuuuuuujjjjjjjssssssssssssss llll llllllllllllllllllllllllll cccccccccc lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc yyyyyyyyypppppppffffffffffxxxxxxxxxxxxxxiiiiiiiiiiiiiii hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh lllllllllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhhhh ccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz cccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn kkkggggggggeeeeeeeeeeeeeeeeeoooddddddddddwwwwwmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz cccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb';\r\nVexp=539156306;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn sssssssssssssssssssssss bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnnnnn bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssssssssssssss eeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbb sssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn aaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa nnnnnnnnnnnnnnnn sssssss bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssssssssssssssssssssssssss bbbbbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnneeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssss nnnn bbbbbbbbbbbbbbbbbbbnnnnnnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnn ssssssssssssss bbbb ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss sssss sssss sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn sssssssssssssssssssssssssssssssss nnnnn aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaa';\r\nVexp=392523621;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllll llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll wwwwwwwwzzzzzzzzzzzzzeeeeeeeeeeuuuuuuuuvvvvvvvvvvvvvvrrrrrrrrrrtttttttttttttt llllllllllllllllllllllllllllllllllllllllllllllllllllllllll ttttttthhhhhmmmmmmmmmqqqqqqqqqqqqqq ccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccc lllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll bbbbbbbppyyyyyyiiisssssssnnnff ccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllllllllllllllllll xxxxxjjjjjjddddaaaaaakkkkkkkkk cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllll lllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllll ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccc lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccc tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccc';\r\nVexp=981953933;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='wwwwwwwwwwhhhhhhhhhh zzzzzzzzzzzzzzzzzzzzvvvvvvvvvvvvvvvaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiiiiiiiiiiii kkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuu jjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbbbbbbbbbbbb kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu uuuuuuuuuuuuuuuuuuuuuuuuuuuujjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuu mmmmmmmmmmmmmmmmmmmmmmmpppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee jjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbqqqqqqqqqqqqqqqqqqqq jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuu qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq lllllnnnnnnnnnnnnnnnnn nnnnn wwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq wwwwwwwwwwwwwwwwwwww kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk xxxxxxxxxrrrrrrrrrgggggggggggggffffffffftttttttccccccccccccccccoooooooddddyyyyy eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww jjj uu bbbbbbbbbbbbbbbbbbb qqqqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllllllll bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=310957976;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='aabbbbbcccddeeeeeeeefffgggggghhhhiiiiiiiijjkkkkklllmmmmmmmnnnooooppppppqqrrsssttuuuuuuuvvvvwxxyyyyya';\r\nVexp=0;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbb lllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt aaaa hhhhhhhhhhhhhhhhhh iiiiiiiiiiiiiiiiiiiiiiiiiiyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbb llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnnnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb qqqqqqsssssspppppppppmmmmmmfffffffff vvvvvvvooooooooooowwwwwwwwwwwccccccccrrrrrrrrrrddddddddddddddddddd xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ttttttttttttttttttttttttttttttttttttttttttttttttttttt uuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhh hhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhh uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh llllaa gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnneeeeeeeeettt bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb tttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz hhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnn tttttttttttttttttttttttttttttttttttt uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzlllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkk bbbbbbbbbbbbbbbbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh uuuuuuuuuuuuuuu aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggggggggggggggggggggggggzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb';\r\nVexp=236753019;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt';\r\nVexp=1;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq dddddddlllllllllllllll xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ssssssssssssssssssssssssssssssssttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkk aaaaaaaaaaaaaaaaaaaaaaaaaaaccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggddddddddddddddddddddddddddddddddddddddd ttttttttttttttttttttttttttttiiiiiiiiiiiiiiiii llllllllllllllllllhhhhhhhhhhhhhhhhhhhhhh rrrrrrrrrrrrrrrrrzzzzzzzzzzzzz kkkkkkkwwwwwwwwwwwwwwwwwwwnnnnnnnnnnnnnyyyyyyyyyyyyy iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ppppppppppppppppppppppppppppppppppppppppppxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx qqqqqqqqqqqqqqqqqqqqbbbbbbbbbbbbbbbbbbbbbbssssssssssssssssssssssssssssssssss sssssssssssssss oooo ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp mmmmmmmmmmmm ffffffeegggggggg iiiiiiiiiiiivvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffffffffffffffff xxxxxxxxxxxxxxxxxxxxxxxxx oooooorr ffffffffffffffffff pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp xxxxxxxxxx ooooooooooooooooooooooo mmmmmmmmmmmmmmmmmmmmmmoooooooooooooooooooooooooooooo';\r\nVexp=48;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeee dduuknnnbbyyysssssqqmmfrrrrrraaaacczzziiiiigggggxxxllllp eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj vvvvvvvvvvvvvvvvvvvvvvhhhhhhhhhhhhhhhhhhhhhhhttttttttttttttttttttttttttt eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww eeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee';\r\nVexp=901255609;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccccccccccccccc yyynnttooppphhhiiiwwllllggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv cccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkmmmmmmm uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu fffffffffffff ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk sssssssssssss ccccccccccccccccccccccccccccccccccccccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjccccccccccccccccccccccccccccccccccccccccccc xxxxxxxxxxxxxxxddddddddddddddrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqeeeeeeeeeeeee kkkkkkkkkkkkkkkkkkkkkkkkkkkkk ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ssssssssssssssssssssssssssssssssssssssssssssssssssssssss mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk zzzzzzzzzzzzzzzzzz kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmzzzzzzzzzzzzzzzzzzzzzzzzzz';\r\nVexp=654434779;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrr rrrrrrrrrrrrrrrrrrrrrrr pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp tttttttttttttttttttttttttttttttt lllllllllllllllllllllllllllllllllllllllllllllllllllllllll ttttttttttttttttttttttttttttttttttttttttttttttttttttt vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv gggggggggggggghhhhhhhhhhhhhhhhhxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj lllllllllllllllllllllllllllllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ttttttttttttt qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll ppppppppppppppppppppppppppppp jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj wwwwwwwwwwwwwwwwwwwwwwwwwwwwwww tttttttttttttttttttttttttttttttttttt ooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrr pppppppppppppp iiiiiiiiiiiiiiiiiiiiiii lllllllllllllll tttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr lllllllllllllllllllllllllllll vvw llllllllllllllllllllllllllllllllllll pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr llllllllllllllllllllllllllllllllllllllllllllllllliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii dddddddddddddddbbbbbbbbbbbbbbbbeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyysssssssssssssssssssss mmmmmmmmmmmmmmmmmmmmmmmaaaaaaaaaaaaaaaaaaa ppppp vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjj rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt nnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuzzzzzzzzzzzzzzzzzzzzzz gggggggggggg tttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwpppppp iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww jjjjjjjjjjj wwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww lllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccfffffffffffffffff llllllllllllllllllllllllllllllllllllllll tttttttttttttt pppppppppppppppppppppppppppppppppppppppp wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt jjjjjjjjjjjj ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo tttttttttttttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzgggggggggggggggggggggggggggggggggggggggg rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ttttttttttttttttttttttttttttttttttttttttttttttt llllllllllllllllllllllllllllllllllllllllllllllllll vvvvvvvvvv';\r\nVexp=977338612;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ccccccccccccccccccccccccccccccccccccccccccccccc ffffffffffffffffffffffffffffffffffffffffffffffffffpppppppppppppppppppppppppppppppppppppppppppppp cccccccccccccccccccccccjjjjjjjjjjj ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp ccc pppppppppppppppppppppppppppppppppppsssssssssssssssssssssssssssssssssssssss ppppppppppppppppppppppppppp eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ssssssssssss iiiiiccccccccc jjjjjjffffffffffff ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ppppppppppppppppppppppppppppppppppppppppppppp ssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp eeeeeeeeeeeemmmmmmmmm iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii';\r\nVexp=864;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj aaaaa ooooooooooooooooooo mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnn sssssssssssssssssssssssssssssssssssssssssssssuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj aaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee mmmmmmmmmmmmmmmmmmmmmm eeeeeeewwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz nnnnnnnnnnnnnnnnn lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ppppppppppppppppppppppppppppppppppppppppppppppgggggggggggggggggggggggggggggggggggggggggggggggggggggg ttttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd fffffffffffffffffffffffffffffffffffffff cceee ooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ffffffffffffffffffffffffffffffffffffffffffffttttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp lllllllllllllllllllllllllllllllllllllllllllll fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp ttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssss wwwwwwwwwwwwwwhhhhhhhhhhhhhhhhllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ooooooooooooooooooooovvvvvvvvvvvvvvvvvvv aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa iiiiiiiiiiiiiiiiiiiiiiippppppppp cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyffffffffffffffffffffffffffffffffffffffffffffff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa fffffffff mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ggggggcccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaa kkkkkkkkkkkkkkkkkkkkkkkrrrrrrrrrrrrrrrrrrrrrrrrrr uuuuuuuuuuuuuiiiiiiiiii nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy mmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx iiiiiiiii';\r\nVexp=702191236;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='oooooooooooooooooooooooooooooooooooaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbblllllllllllllllllzzzzzzzzzzzvvvvvvvvvvvvvvvvqqqqqqqqqqqkkkkkkkkkkkkkhhhhhhhhhhhhhhh eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee iiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fffffffffffffffffffffffffffuuuuuuuuuuuuuuuuuuuuuuuu nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn rrrrrrrrrrrrrtttttttttttttmmmmmmmmmmmmccccccccyyyyyyyywwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii pppppppppppppppsssssssssssssssssssjjjjjjjjjjjjjjjjjddddddddddddddddxxxxxxxxxxxxxxxx nnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee';\r\nVexp=880614102;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwww rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwgggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww zzzzzzzzzzzzzzzdddddddddddddddddddddyyyyyyyyyyyyyy jjjttttxxxxhhfffllllllqqqqqiiiiiimmmmmmmmuueeeeccccsssooookkkkppppppaabbbbbb vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=101045724;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\n%s='jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeexxxxxxxxxxxxxxxxxxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb yyyyyyyyyyyyyyyykkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww oooo ggggggggggggggggyyyyyyyyyyyyyyy iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb iiiiiiii ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhggggggg hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh wwwwwaaaaaaa rrrrrrrrrrrrrrrr hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ooojjjjjjj rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ddddddddddddddddddddddddddddddddddddddddd iiiiiiiiiiiiiiiiiiiiiiiiiiiii","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2020-10-01T17:08:50.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2014-05-15T21:15:21.000Z","updated_at":"2020-10-01T17:08:50.000Z","published_at":"2014-05-15T21:59:11.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis Challenge is derived from\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://code.google.com/codejam/contest/3004486/dashboard#s=p1\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGJam 2014 Rd 1c: Reordering Train Cars (Large)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e s, string of N space separated string segments of letters [a..z]. 1\u0026lt;=N\u0026lt;=100. Total letters \u0026lt;=100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e val, number of possible sequences, modulo 1,000,000,007\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Small Train Case examples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ab bbbc cd Val=1 as only abbbbccd can be created\\naa aa bc c Val=4 aa gives 2 positions, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\\nabc bcd  Val=0 as c is internal and thus can not connect to c of abc]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eTrain Small Spoilers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLarge Case specific info. See\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUsage of java math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAdditional GJam solutions can be found at\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://go-hero.net/jam\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eExample GJam Matlab solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the contest.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":2325,"title":"GJam 2014 Rd 1c: Reordering Train Cars (Large)","description":"This Challenge is derived from \u003chttp://code.google.com/codejam/contest/3004486/dashboard#s=p1 GJam 2014 Rd 1c: Reordering Train Cars (Large)\u003e.\r\n\r\nDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\r\n\r\n*Input:* s, string of N space separated string segments of letters [a..z]. 1\u003c=N\u003c=100. Total letters \u003c=100.\r\n\r\n*Output:* val, number of possible sequences, modulo 1,000,000,007\r\n\r\n*Example:*  Small Train Case examples \r\n\r\n  ab bbbc cd Val=1 as only abbbbccd can be created\r\n  aa aa bc c Val=4 aa gives 2 positions, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\r\n  abc bcd  Val=0 as c is internal and thus can not connect to c of abc\r\n\r\n*Theory:* \u003chttp://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars Train Small Spoilers\u003e\r\n\r\nLarge Case specific info. See \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow Usage of java math\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\r\n\r\n\r\nAdditional GJam solutions can be found at \u003chttp://go-hero.net/jam Example GJam Matlab solutions\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the contest.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 408.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 204.15px; transform-origin: 407px 204.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 7.91667px; transform-origin: 94.5333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis Challenge is derived from\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://code.google.com/codejam/contest/3004486/dashboard#s=p1\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGJam 2014 Rd 1c: Reordering Train Cars (Large)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.783px 7.91667px; transform-origin: 373.783px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4333px 7.91667px; transform-origin: 19.4333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eInput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.4px 7.91667px; transform-origin: 296.4px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e s, string of N space separated string segments of letters [a..z]. 1\u0026lt;=N\u0026lt;=100. Total letters \u0026lt;=100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2667px 7.91667px; transform-origin: 25.2667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.233px 7.91667px; transform-origin: 183.233px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e val, number of possible sequences, modulo 1,000,000,007\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1167px 7.91667px; transform-origin: 31.1167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.2667px 7.91667px; transform-origin: 87.2667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Small Train Case examples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 184.8px 7.91667px; transform-origin: 184.8px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; \"\u003eab \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 173.25px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 173.25px 7.91667px; \"\u003ebbbc cd Val=1 as only abbbbccd can be created\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 327.25px 7.91667px; transform-origin: 327.25px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; \"\u003eaa \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 130.9px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 130.9px 7.91667px; \"\u003eaa bc c Val=4 aa gives 2 positions\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 184.8px 7.91667px; transform-origin: 184.8px 7.91667px; \"\u003e, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.833333px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.833333px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.833333px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.833333px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 261.8px 7.91667px; transform-origin: 261.8px 7.91667px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 15.4px 7.91667px; transform-origin: 15.4px 7.91667px; \"\u003eabc \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 11.55px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 11.55px 7.91667px; \"\u003ebcd\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; \"\u003e  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 227.15px 7.91667px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 227.15px 7.91667px; \"\u003eVal=0 as c is internal and thus can not connect to c of abc\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.6667px 7.91667px; transform-origin: 25.6667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTheory:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eTrain Small Spoilers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.0333px 7.91667px; transform-origin: 91.0333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLarge Case specific info. See\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUsage of java math\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 199.05px 7.91667px; transform-origin: 199.05px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.083px 7.91667px; transform-origin: 131.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAdditional GJam solutions can be found at\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"http://go-hero.net/jam\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eExample GJam Matlab solutions\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 139.267px 7.91667px; transform-origin: 139.267px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the contest.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function val=train(s)\r\n% s is a string of strings separated by a space\r\n val=0;\r\n vstr=regexp(s,' ','split');\r\nend","test_suite":"%%\r\ns='wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww gggggggggggggg ddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddd dddddddddddddddddddddd dddddd dddddddddddddd dddddddddddddddddddddddddddddddddddddddddddd xxxxxxxttttttttteeeeeeppppppppppppllllllliiiiiiiifffffffffffffffmmmmmmmmmmmjjjjjjjhhhhhhhhhh uuuuuuuuubbbbbbcccccccvvvvvvvvvvkkkkkkqqqqqaaayyyyyyooooooooooonnnnnnnnnnnnrrrrrzz dddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd d ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddd ddddddddddddddd ddddddddddddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ddddddddddddddddddddddddddddddd ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd';\r\nVexp=728878867;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ggi aaaaaaayy iiiaaaaaaa lllllllgggggg iiiiiooooooooo';\r\nVexp=0;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ssssssssssssssssssssbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccc jjjjjjjjjjjjjjjjjjddddddddddddggggggggggggggggg qqqqqqqqqqqqffffffffffffffffffuuuuuuuuuuuuuuaaaaaaaaaaaaaaaaaa ccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkmmmmmmmmmmmmmmmmjjjjjjjjjjjjjjjjj cccccccccccccccccccccccccccllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeecccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiieeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnzzz bbbbbbbbbbbbbbbbrrrrrrrrrrrrrnnnnnnnnnnnn ggggggggggggggggggggggggggggggggggqqqqqqqqqqqqqqqqqqqqqqqqqqq hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh eeeeeeeeeeeeee zzzzzzzzzzzzzzz aaaaaaaaaaaaaaaaaaaaaaaaappppppppppppppppppppssssssssssssssssssssssss';\r\nVexp=2;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='kkkkkkkkkkkkkkkkkkkkk llllaaaaaa gggggggggggghhhhhhhhhhh lllllllllllllllllllllllllllllllllllllll bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy aaaaaaaaa vvvvvvvvvv yyyyyyyyy xxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gggggggggggggggggggggggggggg ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss iiiiiiiiiiimmmmmmmmmmmmmmmmmmmm vvvvvvvvvvvvvvvvvvvvvvvvv ssssssssssssssssssssssssssuuuuuuuuuuuuuuuuuuuuuuuuuuuuu vvvvvvvvvvvvvv uuuuuuuuuuuuuuuuuuuiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttteeeeeeeeeeeeeeeeeeeeeeeeee oooooooooooooooooooooooooooooooooooooooooooo nnnnnnnjjjjjjjjjjjjjjjddddddddddd oooooooooooooooooooooooooooooooooooooooooogggggggggggggggggggggggggggggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooooooooooooooooooooooooooooo vvvvvvvvvvvvvvvvvvvvvvvv bwwwwwwwwoooooo sssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ffffffffffffffffffffffffffffffffffffff kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzbbbbbbbbbbbbbbbbbbbbbbbbbbb ooooooooooo kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeexxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx pppppppppppppppppppppppppppppppppppppppppppppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv qqqqlllll mmmmmmmmmmmtttttttt uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ccccccccccccccccccckkkkkkk yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaannnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqq';\r\nVexp=265420800;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrrrrrrjjjjjjjjnnnnnnnyyyyyyxxxxxlllltttttttt';\r\nVexp=1;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwww yy wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh yyyyyyyyyyyyyyyyyyyyyyyyyyyyyiiiiiiiiiiiiiiiiiiiiiiiiii ggggggggggggggggggggggggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwww xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx vvvvvvvvvvvvvvvvvv aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaalllllllllllllllllllllllllllllllllllllllllllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnttttttttttttttttkkkkkkkkkkkkkkkjjjjjjjjjjjjjooooooooooooooooooo bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwww lllllllllllllllllllllllllllllllgggggggggggggggggggggggggggggg wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww uuuuuuuuuuuuuuuuuuuuuuuuuuuuu wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh yyyyyyyyyyyyyyyyy wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww mmmmmmmmmmmmeeeeeeeeeeeesssssssssdddddddddddzzzzzzzzzzzzzzzzrrrrrrrrrrrrrrrrrffffffqqqqqqqqqqqqqqq bbbbbbbbbbbbbbbbbbbbbbpppppppppppppppppppppppppppppppppyyyyyyyyyyyyyyyyyyyyyyy yyyyyyyyyyyyyyyyyyyyyy';\r\nVexp=161166448;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttt qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq vvvvvvvvvvvvvvvvvvv lllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv jjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vv tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttt zzzzzrrrraaaaaasssssssseeeeeegggggggiiiooooooooooooobbbbbbbbkkkkkkkkkkyyyyyyyyyyywwwwwwww tttttttttttttttttttttttttttttttttttttttttttttttt vvvvvvvvvvvvvvvmmmmmmmmmmmmmmmmmmmmmmmmmmmmm tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt lllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnndddddddddddddddddddddddddddxxxxxxxxxxxxxxxx tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttt ffffffffffffffffffffffffffffffffffjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhllllllllllllllllllllllllllllllllllllllllll tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt pppppppppppppppppppppppuuuuuuuuuuuuuuuuuuuuuuuuuuucccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmm mmmmfffffffff jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj tttttttttttttttttttt';\r\nVexp=459335393;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ppppppp aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ttttttttttttttttttttttttttttaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddddddddddddddddpppppppppppppppp hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh xxxxxxxxxxxxxxxxxxxxxxxxxxxx hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaavvvvvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyykkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh pppppppppppppppppppppppppppjjjjjjjjjjjjjjjjjjjjjjjjjjjjj hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhh pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnnnooooooooouuuuuuuuuuurrrrrrrrrrrwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh wwwwwwwwwwwwwwwwwwwwwwwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sssssssssssssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ttttttttttttttt zzzzzzzzzzzzzzzzzzzzz ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ccccccccccccccccceeeeeeeeeeeeeeeeeeemmmmmmmmmmmmmmmmm ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh fffffffffffqqqqqqqqqqqq yyy vvvvvvvvvvvvvvvvvvv xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz aaaaaaaaaaaaaaaaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj zzzzzzzzzzzzzzzzzz zzzzzzzzzzzzzbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhh ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd kkkkkkkkkkkkkkkkkkkkkkkkkkkkkzzzzzzzzzzzzzzzzzzzzzzzzzzzzz vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss hhhhhhhh iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ss hhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbsssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh dddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhh tttttttttttttttttttttttttttttttttttttttttttttttt bbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxtttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhh zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz hhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh';\r\nVexp=893810165;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhsssssssssssssssssssssssssss gggggggggggggggggggggggggggggggggggggg wwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ggggggggggggggggggggggggggggggggggggg qqqqqqqqqqqqqqqqqqwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii lllllllllllllllllllllllll ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj lllllllllllllllllyyyyyyyyyyyyyyyy qqqqqqqqqq wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww pppp bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh mmm sssssssssssssssssssssssssllllllllllllllllllll mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm iiiiiiiiigggggg mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii gggggggggqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq fffffffvvvvccccccccccccoooooddddddddd uuuuuuuuuuuuuuuuaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrzzzzzzzzzzzzzzztttttttttttteeeeeeeeeeeeeeeeee ppppppppppppppppppppp hhhhhh ssss ppppppppppppppppppppppppppppppppxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx wwwwwwwwwwwwwwwwwmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkpppppppppppppppppppppppppppppppppppppppppppppppppp xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx yyyyyyyyy xxxxxxxxxxxxxxxxxxxxjjjjjjjjjjjjjjjjjjj lllllllllllllllllllll mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg wwwwww hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk';\r\nVexp=588556762;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii oooooooooooooooooooooooooooooooaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooooooooooooooo llllllllllllllllllllllllllllllllllllll bbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx aaaaaaaaaaaaaaaaa xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc oooooooooooooooooo cccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiii oooooooooooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj iiiiiiiiiiiiii jjjjjjjjjjjjjjjjjjjjjjjwwwwwwwwwwwwwwwwwwwwww ooooooooooooooooooooooooooooooooooooooooooooooo bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbboooooooooooooooooooooooooooooooooooooooooooooooooooooooo ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa oooooooooooooooooooooooooooooooooooooooooooo iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ccccccccccccccccccccccccccccccccccccccccc bbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaa uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ooooooooooooooooooooo uuuu cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx kkkkkkkkkkkkk uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkllllllllllllllllllllllllllllllllllllllllllllll aaaaaaiiiiiiiiiiiiii uuuuuuuuuuuuu kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ccccccccccccccccccccccccccccccccccccccccccccccccckkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo iiiiiiii eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb jjjjjjjjjjjjjjjjjjjj nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxx llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll iiiiiiiiiiiiiiiiiiiiiiiiii nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxeeeeeeeeeeeeeeeeeeee wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww llllllllllllllllllllllllllllllllllllllllllllllllllllllll eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa uuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee oooooooo xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ii iiiiiiiiiiiiiiuuuuuuuuuuuuuuuuuu oooooooooooooooooooooooooooooooo xxxxxxxxxxxxxxxxxxxxxx lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwww aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa llllllllllllllllllllllll eeeeeeeeeeeeeeeeeee lllllllllllllllllllllllllllllllllllllllllllllllll ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc';\r\nVexp=125298902;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='hhhhhhhhhvvvvv kkhh ppmmmmmmmmm zzxxx sssccccccc fffffffqq yyyyyyyeeeeee xxxxxxxxi eeeeeeeeaaaaaaaa jjjppppppp ddddf cccccrrrrrrrr';\r\nVexp=720;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr tttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ppppppppppppppppppppppppppppppppppppppppppppyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz nnnnnnnnnnnnnnnnnnnnnnn qqqqqqqqqqqq llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll yyyyyyyyyyyyyyyyyyyyy ttttttttttttttttttttttttttttttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzppppppppppppppppppppppppppppppppppppppppppp ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy ffffffffffff iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ddddddddddddddddddddddddssssssssssssssssssssssssssssssss qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu zzzzzzzzzzzzzzzzzzz rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr cccccccccccccccccccccccccccccccccccccccccccc rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaa pppppppppppppppppppppppppppp yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy ccccccccccccccccccccccccc cccccccccccc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa iiiiiiiiiiiiiiiiiiivvvvvvvvvvvvvvvvvvvvdddddddddddddddddd cccccccccccccccccaaaaaaaaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwooooooooooooooooooooo yyyyy llllllllllllllbbbbbbbbbbbbbbbbbbbbbuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy fffffffffffffffffffffffffffffffffzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr tttttttttttttttttttttttttttttttttttttttttttffffffffffffffffffffffffffffffffffffffff sssssssssssssssssssssssssss xxxxxxxxxxxxxxxxxxxxxx yyyyyqqqqqqq ffffffffff ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxx gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq ooooooooooooooooooooooooooooooooooooo rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr xxxxxxxxxxxxxxxxxxxxxxxxxxxxxeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii qqqqqqqqqqqqqqqqqqqqqqqqnnnnnnnnnnnnnnnnnnnn jjjjjjj ssssssssssssssssssssssssssssssssssssssssssswwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy jjjjjjjjjjjjjjjjjjjjjjjjjjjjjcccccccccccccccccccccccccccccccccc tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ggggggggggggggggggggggggggllllllllllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc qqqqqqqqqqqqqqqqqqqqqqqqq rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ssssssss cccccccccccccccccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj tttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx jjjjjjjjjjjjjjjjjjjjjj';\r\nVexp=45590719;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh mmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmm mmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll xxxxxxvvvvvvvvvvvvvoooooojjjjjjjjaaaaaaaffffffffppppppppyyyyyykkkkkkkkkqqqqqqqqqqrrrrrr mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm wwwwwwwnnnneeeeeeesssssuuuuuuuuuudddddddddiiiiiiii mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmm mmmmmmmmmmmmmmm ggggggggggggggggggggggggggggggcccccccccccccccccccccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt';\r\nVexp=757993753;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggggggggggg iihhhhhhaaaaaaaaallmmmmmeeedddddbbbbbbppssssssoooovvvvvvffffftttttttttqqqqqkkkkkknnnnn uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu rrrrrrrrrrrrrrrrrrrrrrrrrr gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggg rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=16857327;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ccccccccccccccccccccccccccccccccccccccc zzzzzzzzzzzzzzzzzzzzzzzzzzzzzrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr llllllllllllllllllllllllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll tttttttttttaaaaaaaaakkkkkk qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq ccccccccccc uuuuuuuuuujjjjjjjssssssssssssss llll llllllllllllllllllllllllll cccccccccc lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc yyyyyyyyypppppppffffffffffxxxxxxxxxxxxxxiiiiiiiiiiiiiii hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh lllllllllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhhhh ccccccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz cccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn kkkggggggggeeeeeeeeeeeeeeeeeoooddddddddddwwwwwmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz cccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb';\r\nVexp=539156306;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn sssssssssssssssssssssss bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnnnnn bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssssssssssssss eeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbb sssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn aaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa nnnnnnnnnnnnnnnn sssssss bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssssssssssssssssssssssssss bbbbbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnneeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssss nnnn bbbbbbbbbbbbbbbbbbbnnnnnnnnnnnnnnnnn ssssssssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnn ssssssssssssss bbbb ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss sssss sssss sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn sssssssssssssssssssssssssssssssss nnnnn aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaa';\r\nVexp=392523621;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='ccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllll llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll wwwwwwwwzzzzzzzzzzzzzeeeeeeeeeeuuuuuuuuvvvvvvvvvvvvvvrrrrrrrrrrtttttttttttttt llllllllllllllllllllllllllllllllllllllllllllllllllllllllll ttttttthhhhhmmmmmmmmmqqqqqqqqqqqqqq ccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccc lllllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll bbbbbbbppyyyyyyiiisssssssnnnff ccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllllllllllllllllll xxxxxjjjjjjddddaaaaaakkkkkkkkk cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc llllllllllllllllllllllllllllllllllllllllllllllllllllll llllllllllllll lllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllll ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccc lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccc tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccc';\r\nVexp=981953933;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='wwwwwwwwwwhhhhhhhhhh zzzzzzzzzzzzzzzzzzzzvvvvvvvvvvvvvvvaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiiiiiiiiiiii kkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuu jjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbbbbbbbbbbbb kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu uuuuuuuuuuuuuuuuuuuuuuuuuuuujjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuu mmmmmmmmmmmmmmmmmmmmmmmpppppppppppppppp kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee jjjjjjjjjjjjjj eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbqqqqqqqqqqqqqqqqqqqq jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk uuuuuuuuuuuuuuuuuu qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq lllllnnnnnnnnnnnnnnnnn nnnnn wwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq wwwwwwwwwwwwwwwwwwww kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk xxxxxxxxxrrrrrrrrrgggggggggggggffffffffftttttttccccccccccccccccoooooooddddyyyyy eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww jjj uu bbbbbbbbbbbbbbbbbbb qqqqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllllllll bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=310957976;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='aabbbbbcccddeeeeeeeefffgggggghhhhiiiiiiiijjkkkkklllmmmmmmmnnnooooppppppqqrrsssttuuuuuuuvvvvwxxyyyyya';\r\nVexp=0;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbb lllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt aaaa hhhhhhhhhhhhhhhhhh iiiiiiiiiiiiiiiiiiiiiiiiiiyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbb llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnnnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv hhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb qqqqqqsssssspppppppppmmmmmmfffffffff vvvvvvvooooooooooowwwwwwwwwwwccccccccrrrrrrrrrrddddddddddddddddddd xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ttttttttttttttttttttttttttttttttttttttttttttttttttttt uuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnnnn hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhh hhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhh uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh llllaa gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh nnnnnneeeeeeeeettt bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb tttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz hhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbb nnnnnnnnnnnnnnnnnnnnnnnnnnn tttttttttttttttttttttttttttttttttttt uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzlllllllllllllllllllllllllllllllllllllllllll hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh kkkkkkkkkkkkkkkkkkk bbbbbbbbbbbbbbbbbbbbbbb uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh uuuuuuuuuuuuuuu aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggggggggggggggggggggggggzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb';\r\nVexp=236753019;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt';\r\nVexp=1;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq dddddddlllllllllllllll xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ssssssssssssssssssssssssssssssssttttttttttttttttttttttttttttttttttttttttttt hhhhhhhhhhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkk aaaaaaaaaaaaaaaaaaaaaaaaaaaccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggddddddddddddddddddddddddddddddddddddddd ttttttttttttttttttttttttttttiiiiiiiiiiiiiiiii llllllllllllllllllhhhhhhhhhhhhhhhhhhhhhh rrrrrrrrrrrrrrrrrzzzzzzzzzzzzz kkkkkkkwwwwwwwwwwwwwwwwwwwnnnnnnnnnnnnnyyyyyyyyyyyyy iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ppppppppppppppppppppppppppppppppppppppppppxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx qqqqqqqqqqqqqqqqqqqqbbbbbbbbbbbbbbbbbbbbbbssssssssssssssssssssssssssssssssss sssssssssssssss oooo ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp mmmmmmmmmmmm ffffffeegggggggg iiiiiiiiiiiivvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffffffffffffffff xxxxxxxxxxxxxxxxxxxxxxxxx oooooorr ffffffffffffffffff pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp xxxxxxxxxx ooooooooooooooooooooooo mmmmmmmmmmmmmmmmmmmmmmoooooooooooooooooooooooooooooo';\r\nVexp=48;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeee dduuknnnbbyyysssssqqmmfrrrrrraaaacczzziiiiigggggxxxllllp eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj vvvvvvvvvvvvvvvvvvvvvvhhhhhhhhhhhhhhhhhhhhhhhttttttttttttttttttttttttttt eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww eeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee';\r\nVexp=901255609;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ccccccccccccccccccccccc yyynnttooppphhhiiiwwllllggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv cccccccccccccccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkmmmmmmm uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu fffffffffffff ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa sssssssssssssssssssssssssssssssssssssssssssssssssssss kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk sssssssssssss ccccccccccccccccccccccccccccccccccccccccccccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjccccccccccccccccccccccccccccccccccccccccccc xxxxxxxxxxxxxxxddddddddddddddrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqeeeeeeeeeeeee kkkkkkkkkkkkkkkkkkkkkkkkkkkkk ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ssssssssssssssssssssssssssssssssssssssssssssssssssssssss mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk zzzzzzzzzzzzzzzzzz kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmzzzzzzzzzzzzzzzzzzzzzzzzzz';\r\nVexp=654434779;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='rrrr rrrrrrrrrrrrrrrrrrrrrrr pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp tttttttttttttttttttttttttttttttt lllllllllllllllllllllllllllllllllllllllllllllllllllllllll ttttttttttttttttttttttttttttttttttttttttttttttttttttt vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv gggggggggggggghhhhhhhhhhhhhhhhhxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkccccccccccccc jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj lllllllllllllllllllllllllllllll vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr ttttttttttttt qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll ppppppppppppppppppppppppppppp jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj wwwwwwwwwwwwwwwwwwwwwwwwwwwwwww tttttttttttttttttttttttttttttttttttt ooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrr pppppppppppppp iiiiiiiiiiiiiiiiiiiiiii lllllllllllllll tttttttttttttttttttttttttttttttttttttttttt tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr lllllllllllllllllllllllllllll vvw llllllllllllllllllllllllllllllllllll pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr llllllllllllllllllllllllllllllllllllllllllllllllliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii dddddddddddddddbbbbbbbbbbbbbbbbeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyysssssssssssssssssssss mmmmmmmmmmmmmmmmmmmmmmmaaaaaaaaaaaaaaaaaaa ppppp vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr jjjjjjjjjjjjjjjjjjjjjjjjjjjj rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt nnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuzzzzzzzzzzzzzzzzzzzzzz gggggggggggg tttttttttttttttttttttttttttttttttttttttttttttt rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwpppppp iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww jjjjjjjjjjj wwwwwwwwwwwwww wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww lllllllllllllllllllllllllllllllllllllllllllllllllllllllllll cccccccccccccccccccfffffffffffffffff llllllllllllllllllllllllllllllllllllllll tttttttttttttt pppppppppppppppppppppppppppppppppppppppp wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt jjjjjjjjjjjj ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo tttttttttttttttttttttttttttt zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzgggggggggggggggggggggggggggggggggggggggg rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ttttttttttttttttttttttttttttttttttttttttttttttt llllllllllllllllllllllllllllllllllllllllllllllllll vvvvvvvvvv';\r\nVexp=977338612;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ccccccccccccccccccccccccccccccccccccccccccccccc ffffffffffffffffffffffffffffffffffffffffffffffffffpppppppppppppppppppppppppppppppppppppppppppppp cccccccccccccccccccccccjjjjjjjjjjj ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp ccc pppppppppppppppppppppppppppppppppppsssssssssssssssssssssssssssssssssssssss ppppppppppppppppppppppppppp eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ssssssssssss iiiiiccccccccc jjjjjjffffffffffff ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ppppppppppppppppppppppppppppppppppppppppppppp ssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp eeeeeeeeeeeemmmmmmmmm iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii';\r\nVexp=864;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj aaaaa ooooooooooooooooooo mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm nnnn sssssssssssssssssssssssssssssssssssssssssssssuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj aaaaaaaaaaaaa jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee mmmmmmmmmmmmmmmmmmmmmm eeeeeeewwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo aaaaaaaaaaaaaaa wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz nnnnnnnnnnnnnnnnn lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv ppppppppppppppppppppppppppppppppppppppppppppppgggggggggggggggggggggggggggggggggggggggggggggggggggggg ttttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd fffffffffffffffffffffffffffffffffffffff cceee ooooooooooooooooo jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ffffffffffffffffffffffffffffffffffffffffffffttttttttttttttttttttttttttttttttttttttttttttt xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp lllllllllllllllllllllllllllllllllllllllllllll fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn ppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp ttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssss wwwwwwwwwwwwwwhhhhhhhhhhhhhhhhllllllll aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ggggggggggggggggggggggggggggggggggggggggggggggggg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ooooooooooooooooooooovvvvvvvvvvvvvvvvvvv aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa iiiiiiiiiiiiiiiiiiiiiiippppppppp cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv yyyyyyyyyyyyyyyyyyyyyyyyffffffffffffffffffffffffffffffffffffffffffffff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa fffffffff mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm ggggggcccccccc mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaa kkkkkkkkkkkkkkkkkkkkkkkrrrrrrrrrrrrrrrrrrrrrrrrrr uuuuuuuuuuuuuiiiiiiiiii nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy mmmmmmmmmmmmmmm aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx iiiiiiiii';\r\nVexp=702191236;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='oooooooooooooooooooooooooooooooooooaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbblllllllllllllllllzzzzzzzzzzzvvvvvvvvvvvvvvvvqqqqqqqqqqqkkkkkkkkkkkkkhhhhhhhhhhhhhhh eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee iiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fffffffffffffffffffffffffffuuuuuuuuuuuuuuuuuuuuuuuu nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn rrrrrrrrrrrrrtttttttttttttmmmmmmmmmmmmccccccccyyyyyyyywwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii pppppppppppppppsssssssssssssssssssjjjjjjjjjjjjjjjjjddddddddddddddddxxxxxxxxxxxxxxxx nnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee';\r\nVexp=880614102;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\ns='gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww vvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwww rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwwgggggg nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn gggggggggggggg nnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww zzzzzzzzzzzzzzzdddddddddddddddddddddyyyyyyyyyyyyyy jjjttttxxxxhhfffllllllqqqqqiiiiiimmmmmmmmuueeeeccccsssooookkkkppppppaabbbbbb vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv nnnnnnnnnnnnnnnnnnnnnnnnnn vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg vvvvvvvvvvvvvvvvvvvvvvvnnnnnnnnnnnnnnnnnn wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww';\r\nVexp=101045724;\r\nval=train(s);\r\nassert(isequal(Vexp,val))\r\n%%\r\n%s='jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk eeeeeeeeeeeeeeeeeeexxxxxxxxxxxxxxxxxxxxxxxx bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb yyyyyyyyyyyyyyyykkkkkkkkkk mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww oooo ggggggggggggggggyyyyyyyyyyyyyyy iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb iiiiiiii ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc hhhhhhhhhhhhhhggggggg hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh wwwwwaaaaaaa rrrrrrrrrrrrrrrr hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ooojjjjjjj rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcccccccccccccccccccccccccccccccccc kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk ddddddddddddddddddddddddddddddddddddddddd iiiiiiiiiiiiiiiiiiiiiiiiiiiii","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2020-10-01T17:08:50.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2014-05-15T21:15:21.000Z","updated_at":"2020-10-01T17:08:50.000Z","published_at":"2014-05-15T21:59:11.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis Challenge is derived from\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://code.google.com/codejam/contest/3004486/dashboard#s=p1\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGJam 2014 Rd 1c: Reordering Train Cars (Large)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine number of sequences for set of strings under the constraint that all same characters must be contiguous. The large case could have 26! or more permutations.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e s, string of N space separated string segments of letters [a..z]. 1\u0026lt;=N\u0026lt;=100. Total letters \u0026lt;=100.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e val, number of possible sequences, modulo 1,000,000,007\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Small Train Case examples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ab bbbc cd Val=1 as only abbbbccd can be created\\naa aa bc c Val=4 aa gives 2 positions, aa'aa''bcc,aa''aa'bcc, bcccaa'aa'',bcccaa''aa'\\nabc bcd  Val=0 as c is internal and thus can not connect to c of abc]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/2324-gjam-2014-rd-1c-train-cars\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eTrain Small Spoilers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLarge Case specific info. See\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUsage of java math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e for unlimited precision. Note intValue gives more precision than floatValue. No java factorial exists so a function, non-recursive, is suggested. The small solution can be converted via java BigInteger factorial, mod, multiply, and intValue to solve the large case.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAdditional GJam solutions can be found at\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://go-hero.net/jam\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eExample GJam Matlab solutions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Select Find Solutions, change Language to Matlab. The Test Suite, at the bottom, contains a full GJam Small Matlab solution. No Valid Matlab solutions were submitted during the 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