{"problem":{"name":"C. I need some help!","description":{"content":"Hello, guys, Could you help me to improve my program? I already posted this question on several online judges, but nobody answered. So I hope to receive an answer from you. Sorry for posting this dir","description_type":"Markdown"},"platform":"Codeforces","limit":{"time_limit":5000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"CF10049C"},"statements":[{"statement_type":"Markdown","content":"Hello, guys,\n\nCould you help me to improve my program? I already posted this question on several online judges, but nobody answered. So I hope to receive an answer from you. Sorry for posting this directly to the problemset (not to my blog) :)\n\nI don't remember the exact problem statement. But the input is 10 positive integers and I think that my program is correct. I get TLE (time limit exceeded). It might be ineffective but I don't know why.\n\nHere is my program: \n\nCould you submit your correct program which solves the problem correctly and effectively?\n\nThe first line contains the number of test cases T (1 ≤ T ≤ 104). \n\nIn the first line of every test case there are 11 integers a0, a1, ..., a9 (1 ≤ ai ≤ 109) and x (0 ≤ x ≤ 2·109).\n\nFor each test case output one line containing “_Case #tc: answer_” where tc is the number of the test case (starting from 1) and answer is the result of myFunction(x).\n\n## Input\n\nThe first line contains the number of test cases T (1 ≤ T ≤ 104). In the first line of every test case there are 11 integers a0, a1, ..., a9 (1 ≤ ai ≤ 109) and x (0 ≤ x ≤ 2·109).\n\n## Output\n\nFor each test case output one line containing “_Case #tc: answer_” where tc is the number of the test case (starting from 1) and answer is the result of myFunction(x).\n\n[samples]","is_translate":false,"language":"English"},{"statement_type":"Markdown","content":"**Definitions**  \nLet $ T \\in \\mathbb{Z} $ be the number of test cases.  \nFor each test case:  \n- Let $ V, H \\in \\mathbb{Z} $ denote the number of vertical and horizontal streets, respectively.  \n- Let $ \\mathbf{VG} = (vg_1, vg_2, \\dots, vg_{V-1}) \\in \\mathbb{R}^{V-1} $ be the distances between consecutive vertical streets, where $ vg_i $ is the distance between vertical street $ i $ and $ i+1 $.  \n- Let $ \\mathbf{HG} = (hg_1, hg_2, \\dots, hg_{H-1}) \\in \\mathbb{R}^{H-1} $ be the distances between consecutive horizontal streets, where $ hg_j $ is the distance between horizontal street $ j $ and $ j+1 $.  \n- Let $ \\mathbf{VD} = (vd_1, vd_2, \\dots, vd_V) \\in \\{N, S\\}^V $ be the direction of each vertical street: $ vd_i = N $ means Northbound, $ S $ means Southbound.  \n- Let $ \\mathbf{HD} = (hd_1, hd_2, \\dots, hd_H) \\in \\{W, E\\}^H $ be the direction of each horizontal street: $ hd_j = E $ means Eastbound, $ W $ means Westbound.  \n\nDefine the grid coordinates:  \n- Vertical street $ i $ lies at $ x = \\sum_{k=1}^{i-1} vg_k $, for $ i \\in \\{1, \\dots, V\\} $.  \n- Horizontal street $ j $ lies at $ y = \\sum_{k=1}^{j-1} hg_k $, for $ j \\in \\{1, \\dots, H\\} $.  \n\nLet $ K \\in \\mathbb{Z} $ be the number of queries.  \nFor each query $ q \\in \\{1, \\dots, K\\} $, given source $ (x_1, y_1) $ and target $ (x_2, y_2) $, both lying at intersections of streets.\n\n**Constraints**  \n1. $ 1 \\le T \\le 20 $  \n2. $ 1 \\le V, H \\le 10^5 $  \n3. $ 1 \\le vg_i, hg_j \\le 10^4 $  \n4. $ 1 \\le K \\le 10^5 $  \n5. $ (x_1, y_1), (x_2, y_2) $ lie on intersections of the grid (i.e., $ x_1, x_2 \\in \\{ \\sum_{k=1}^{i-1} vg_k \\mid i \\in [V] \\} $, $ y_1, y_2 \\in \\{ \\sum_{k=1}^{j-1} hg_k \\mid j \\in [H] \\} $)\n\n**Objective**  \nFor each query $ q $, compute the shortest path distance from $ (x_1, y_1) $ to $ (x_2, y_2) $, moving only along streets in their designated directions.  \nIf no valid path exists, output $ -1 $.  \n\n**Path Rules**  \n- Movement along vertical street $ i $ is only allowed in direction $ vd_i $:  \n  - If $ vd_i = N $, movement is allowed from lower $ y $ to higher $ y $.  \n  - If $ vd_i = S $, movement is allowed from higher $ y $ to lower $ y $.  \n- Movement along horizontal street $ j $ is only allowed in direction $ hd_j $:  \n  - If $ hd_j = E $, movement is allowed from lower $ x $ to higher $ x $.  \n  - If $ hd_j = W $, movement is allowed from higher $ x $ to lower $ x $.  \n- Transitions between streets are allowed only at intersections.  \n- The path must follow street directions; reversing direction is forbidden.","is_translate":false,"language":"Formal"}],"meta":{"iden":"CF10049C","tags":[],"sample_group":[],"created_at":"2026-03-03 11:00:39"}}