EPIC Institute of Technology Round August 2024 (Div. 1 + Div. 2)

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ContestId
Name
Phase
Frozen
Duration (Seconds)
Relative Time
Start Time
2002 EPIC Institute of Technology Round August 2024 (Div. 1 + Div. 2) FINISHED False 10800 53018723 Aug. 11, 2024, 2:35 p.m.

Problems

Solved
Index
Name
Type
Tags
Community Tag
Rating
( 1002 ) F1 Court Blue (Easy Version) PROGRAMMING brute force dfs and similar dp math number theory

This is the easy version of the problem. In this version, (n=m) and the time limit is lower. You can make hacks only if both versions of the problem are solved. In the court of the Blue King, Lelle and Flamm are having a performance match. The match consists of several rounds. In each round, either Lelle or Flamm wins. Let (W_L) and (W_F) denote the number of wins of Lelle and Flamm, respectively. The Blue King considers a match to be successful if and only if: after every round, (\gcd(W_L,W_F)\le 1); at the end of the match, (W_L\le n, W_F\le m). Note that (\gcd(0,x)=\gcd(x,0)=x) for every non-negative integer (x). Lelle and Flamm can decide to stop the match whenever they want, and the final score of the performance is (l \cdot W_L + f \cdot W_F). Please help Lelle and Flamm coordinate their wins and losses such that the performance is successful , and the total score of the performance is maximized. The first line contains an integer (t) ((1\leq t \leq 10^3)) — the number of test cases. The only line of each test case contains four integers (n), (m), (l), (f) ((2\leq n\leq m \leq 2\cdot 10^7), (1\leq l,f \leq 10^9), (\bf{n=m})): (n), (m) gives the upper bound on the number of Lelle and Flamm's wins, (l) and (f) determine the final score of the performance. Unusual additional constraint : it is guaranteed that, for each test, there are no pairs of test cases with the same pair of (n), (m). For each test case, output a single integer — the maximum total score of a successful performance. In the first test case, a possible performance is as follows: Flamm wins, (\gcd(0,1)=1). Lelle wins, (\gcd(1,1)=1). Flamm wins, (\gcd(1,2)=1). Flamm wins, (\gcd(1,3)=1). Lelle wins, (\gcd(2,3)=1). Lelle and Flamm agree to stop the match. The final score is (2\cdot2+3\cdot5=19). In the third test case, a possible performance is as follows: Flamm wins, $$$\gcd

Tutorials

EPIC Institute of Technology Round August 2024 (Div. 1 + Div. 2) Editorial

Submissions

Submission Id
Author(s)
Index
Submitted
Verdict
Language
Test Set
Tests Passed
Time taken (ms)
Memory Consumed (bytes)
Tags
Rating
275838759 2114992323 F1 Aug. 11, 2024, 5:11 p.m. OK C++14 (GCC 6-32) TESTS 19 765 160358400
275843673 Math_rad_round F1 Aug. 11, 2024, 5:26 p.m. OK C++14 (GCC 6-32) TESTS 19 781 236441600
275841237 Isoeasy F1 Aug. 11, 2024, 5:19 p.m. OK C++14 (GCC 6-32) TESTS 19 984 100352000
275889122 duck_pear F1 Aug. 12, 2024, 4:21 a.m. OK C++14 (GCC 6-32) TESTS 19 1046 36147200
275846988 knightL F1 Aug. 11, 2024, 5:34 p.m. OK C++14 (GCC 6-32) TESTS 19 1140 89497600
275839890 yutabi F1 Aug. 11, 2024, 5:14 p.m. OK C++14 (GCC 6-32) TESTS 19 1156 20172800
275843046 by_chance F1 Aug. 11, 2024, 5:24 p.m. OK C++14 (GCC 6-32) TESTS 19 1702 160358400
275838797 bro_jie F1 Aug. 11, 2024, 5:11 p.m. OK C++14 (GCC 6-32) TESTS 19 1905 46080000
275857753 david_tao F1 Aug. 11, 2024, 7:34 p.m. OK C++14 (GCC 6-32) TESTS 19 2046 100249600
275895156 sunrise1024 F1 Aug. 12, 2024, 5:36 a.m. OK C++14 (GCC 6-32) TESTS 19 2077 28979200
275843761 -0v0- F1 Aug. 11, 2024, 5:26 p.m. OK C++17 (GCC 7-32) TESTS 19 312 10547200
275880014 LXH-cat F1 Aug. 12, 2024, 2:20 a.m. OK C++17 (GCC 7-32) TESTS 19 327 40755200
275842532 The-Winner F1 Aug. 11, 2024, 5:23 p.m. OK C++17 (GCC 7-32) TESTS 19 546 82739200
275879163 LXH-cat F1 Aug. 12, 2024, 2:09 a.m. OK C++17 (GCC 7-32) TESTS 19 592 65433600
275839638 pavement F1 Aug. 11, 2024, 5:14 p.m. OK C++17 (GCC 7-32) TESTS 19 671 504012800
275845644 akhilagarwal79 F1 Aug. 11, 2024, 5:32 p.m. OK C++17 (GCC 7-32) TESTS 19 936 9011200
275853373 icewarrior52 F1 Aug. 11, 2024, 6:53 p.m. OK C++17 (GCC 7-32) TESTS 19 999 24166400
275891382 jhdonghj112 F1 Aug. 12, 2024, 4:50 a.m. OK C++17 (GCC 7-32) TESTS 19 999 89088000
275836431 PetelgeuseRomaneeconti F1 Aug. 11, 2024, 5:03 p.m. OK C++17 (GCC 7-32) TESTS 19 1140 28262400
275834891 icefake F1 Aug. 11, 2024, 4:58 p.m. OK C++17 (GCC 7-32) TESTS 19 1155 69324800
275857011 m7a1g5i8k8a1r4p0 F1 Aug. 11, 2024, 7:26 p.m. OK C++20 (GCC 13-64) TESTS 19 124 102400
275877881 EnofTaiPeople F1 Aug. 12, 2024, 1:51 a.m. OK C++20 (GCC 13-64) TESTS 19 171 214118400
275856826 m7a1g5i8k8a1r4p0 F1 Aug. 11, 2024, 7:24 p.m. OK C++20 (GCC 13-64) TESTS 19 203 102400
275873210 hzk_cpp F1 Aug. 12, 2024, 12:32 a.m. OK C++20 (GCC 13-64) TESTS 19 265 10547200
275839416 dl720125 F1 Aug. 11, 2024, 5:13 p.m. OK C++20 (GCC 13-64) TESTS 19 265 102195200
275839761 YuukiS F1 Aug. 11, 2024, 5:14 p.m. OK C++20 (GCC 13-64) TESTS 19 280 12595200
275843923 tute7627 F1 Aug. 11, 2024, 5:27 p.m. OK C++20 (GCC 13-64) TESTS 19 311 307200
275854328 KnownError_ F1 Aug. 11, 2024, 7 p.m. OK C++20 (GCC 13-64) TESTS 19 327 172851200
275878194 WRKRW F1 Aug. 12, 2024, 1:56 a.m. OK C++20 (GCC 13-64) TESTS 19 390 332185600
275843946 Sana F1 Aug. 11, 2024, 5:27 p.m. OK C++20 (GCC 13-64) TESTS 19 437 84172800
275841918 ghj1222 F1 Aug. 11, 2024, 5:21 p.m. OK GNU C11 TESTS 19 624 37478400
275841042 VArtem F1 Aug. 11, 2024, 5:18 p.m. OK Java 21 TESTS 19 1187 20992000
275884174 2210030109_hitesh F1 Aug. 12, 2024, 3:15 a.m. OK Java 21 TESTS 19 2468 66457600
275844359 profchi F1 Aug. 11, 2024, 5:28 p.m. OK Java 8 TESTS 19 2405 114585600
275867349 n685 F1 Aug. 11, 2024, 9:57 p.m. OK Rust 2021 TESTS 19 1905 16486400

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