Score : 2100 points
There are N jewelry shops numbered 1 to N.
Shop i (1 \leq i \leq N) sells K_i kinds of jewels. The j-th of these jewels (1 \leq j \leq K_i) has a size and price of S_{i,j} and P_{i,j}, respectively, and the shop has C_{i,j} jewels of this kind in stock.
A jewelry box is said to be good if it satisfies all of the following conditions:
Answer Q questions. In the i-th question, given an integer A_i, find the minimum total price of jewels that need to be purchased to make A_i good jewelry boxes. If it is impossible to make A_i good jewelry boxes, report that fact.
Input is given from Standard Input in the following format:
N Description of Shop 1 Description of Shop 2 \vdots Description of Shop N M U_1 V_1 W_1 U_2 V_2 W_2 \vdots U_M V_M W_M Q A_1 A_2 \vdots A_Q
The description of Shop i (1 \leq i \leq N) is in the following format:
K_i S_{i,1} P_{i,1} C_{i,1} S_{i,2} P_{i,2} C_{i,2} \vdots S_{i,K_i} P_{i,K_i} C_{i,K_i}
Print Q lines. The i-th line should contain the minimum total price of jewels that need to be purchased to make A_i good jewelry boxes, or -1 if it is impossible to make them.
3 2 1 10 1 3 1 1 3 1 10 1 2 1 1 3 10 1 2 1 1 1 3 10 1 2 1 2 0 2 3 0 3 1 2 3
3 42 -1
Let (i,j) represent the j-th jewel sold at Shop i. The answer to each query is as follows:
5 5 86849520 30 272477201869 968023357 28 539131386006 478355090 8 194500792721 298572419 6 894877901270 203794105 25 594579473837 5 730211794 22 225797976416 842538552 9 420531931830 871332982 26 81253086754 553846923 29 89734736118 731788040 13 241088716205 5 903534485 22 140045153776 187101906 8 145639722124 513502442 9 227445343895 499446330 6 719254728400 564106748 20 333423097859 5 332809289 8 640911722470 969492694 21 937931959818 207959501 11 217019915462 726936503 12 382527525674 887971218 17 552919286358 5 444983655 13 487875689585 855863581 6 625608576077 885012925 10 105520979776 980933856 1 711474069172 653022356 19 977887412815 10 1 2 231274893 2 3 829836076 3 4 745221482 4 5 935448462 5 1 819308546 3 5 815839350 5 3 513188748 3 1 968283437 2 3 202352515 4 3 292999238 10 510266667947 252899314976 510266667948 374155726828 628866122125 628866122123 1 628866122124 510266667949 30000000000000
26533866733244 13150764378752 26533866733296 19456097795056 -1 33175436167096 52 33175436167152 26533866733352 -1