{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n #problem-body \u003e pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv id\u003d\"problem-body\"\u003e\n\t\u003cp\u003eYou are given a string T which consists of 40000 lowercase latin letters at most. You are also given some integers A, B and Q. You have to answer Q queries. For i-th query you are given a string S\u003csub\u003e\u003cspan style\u003d\"font-size: xx-small;\"\u003ei\u003c/span\u003e\u003c/sub\u003e and you need to output how many times S\u003csub\u003ei\u003c/sub\u003e appears in T. Immediately after answering the current query you need to add ((A*ans+B) modulo 26+1)-th lowercase symbol of the English alphabet to the end of T where ans is the answer to this query.\u003c/p\u003e\r\n\u003ch3\u003eInput\u003c/h3\u003e\r\n\u003cp\u003eThe first line of input contains a string T. The next line consists of three integers Q (1\u0026lt;\u003dQ\u0026lt;\u003d40000), A (0\u0026lt;\u003dA\u0026lt;\u003d27) and B (0\u0026lt;\u003dB\u0026lt;\u003d26). The following Q lines contain Q query strings, S\u003csub\u003ei-2\u003c/sub\u003e on i-th line. Input will not exceed 600 kb.\u003c/p\u003e\r\n\u003ch3\u003eOutput\u003c/h3\u003e\r\n\u003cp\u003eOutput Q lines. Output the answer to the i-th query on the i-th line output.\u003c/p\u003e\r\n\u003ch3\u003eExample\u003c/h3\u003e\r\n\u003cdiv\u003e\u003ctable class\u003d\"vjudge_sample\"\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003eaaaaa\n2 0 0\na\naa\n\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5\n5\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e\n\u003c/div\u003e"}}]}