{"trustable":false,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section 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\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cp\u003eGandalf se napio na festi kod Sarumana pa je legao na proplanak i gleda klokane iz Shire-a kako se igraju. Pada mu svasta napamet pa se klokanima upalio obrambeni mehanizam.\u003c/p\u003e\n \u003cp\u003eNa proplanku je \u003cvar\u003e\\(N\\)\u003c/var\u003e klokana. Svaki klokan ima velcinu \u003cvar\u003e\\(A_i\\)\u003c/var\u003e i velicinu tobolca \u003cvar\u003e\\(B_i\\)\u003c/var\u003e. Klokani se boje Gandalfa koji bi im mogao načiniti štošta šašavih stvari pa se skrivaju jedan u drugog. Rade sljedeće sve dok je moguće:\u003c/p\u003e\n \u003cul\u003e\n \u003cli\u003eklokan \u003cvar\u003e\\(i\\)\u003c/var\u003e skoci u klokana \u003cvar\u003e\\(j\\)\u003c/var\u003e\u003c/li\u003e\n \u003cli\u003e\u003cvar\u003e\\(A_i\\)\u003c/var\u003e \u003c \u003cvar\u003e\\(B_j\\)\u003c/var\u003e\u003c/li\u003e\n \u003cli\u003eklokan \u003cvar\u003e\\(i\\)\u003c/var\u003e nije u nikom, a klokan \u003cvar\u003e\\(j\\)\u003c/var\u003e nema nikog u sebi\u003c/li\u003e\n \u003c/ul\u003e\n \u003cp\u003eKoliko zavrsnih stanja je moguce? Write a program to find the answer. Since it can be extremely large, print the count modulo \u003cvar\u003e\\(10^9+7\\)\u003c/var\u003e.\u003c/p\u003e\n\u003c/section\u003e"}},{"title":"Constraints","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cul\u003e\n \u003cli\u003e\u003cvar\u003e\\(1 \\leq N \\leq 300\\)\u003c/var\u003e\u003c/li\u003e\n \u003cli\u003e\u003cvar\u003e\\(1 \\leq B_i \\leq A_i \\leq 1 \\, 000\\,000\\,000\\)\u003c/var\u003e\u003c/li\u003e\n \u003c/ul\u003e\n\u003c/section5"}},{"title":"Input","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cp\u003eOvako unesi podatke:\u003c/p\u003e\n \u003cpre\u003e\u003cvar\u003e\\(N\\)\u003c/var\u003e\n\u003cvar\u003e\\(A_1\\)\u003c/var\u003e \u003cvar\u003e\\(B_1\\)\u003c/var\u003e\n\u003cvar\u003e\\(A_2\\)\u003c/var\u003e \u003cvar\u003e\\(B_2\\)\u003c/var\u003e\n\u003cvar\u003e\\(:\\)\u003c/var\u003e\n\u003cvar\u003e\\(A_N\\)\u003c/var\u003e \u003cvar\u003e\\(B_N\\)\u003c/var\u003e\n\u003c/pre\u003e\n\u003c/section\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cp\u003eIspisi broj razlicitih finalnih konfiguracija klokana, modulo \u003cvar\u003e\\(10^9+7\\)\u003c/var\u003e.\u003c/p\u003e\n\u003c/section\u003e"}},{"title":"Sample 1","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e\n5\n4 3\n3 1\n6 5\n2 1\n4 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003csection\u003e\n\u003c/section\u003e\u003csection\u003e\n\u003c/section\u003e"}},{"title":"Sample 2","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e\n20\n7 6\n7 3\n10 1\n7 2\n10 7\n10 7\n8 6\n3 2\n5 4\n7 2\n3 2\n10 9\n9 4\n7 2\n8 6\n5 4\n8 6\n7 4\n10 5\n9 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e21060\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003csection\u003e\n\u003c/section\u003e\u003csection\u003e\n\u003c/section\u003e"}}]}