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2025-01-20 20:58:05
2025-01-20 20:58:05
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Hyperspace Jump (hard)
It is now 125 years later, but humanity is still on the run from a humanoid-cyborg race determined to destroy it. Or perhaps we are getting some stories mixed up here... In any case, the fleet is now smaller. However, in a recent upgrade, all the navigation systems have been outfitted with higher-dimensional, linear-algebraic jump processors. Now, in order to make a jump, a ship's captain needs to specify a subspace of the *d*-dimensional space in which the events are taking place. She does so by providing a generating set of vectors for that subspace. Princess Heidi has received such a set from the captain of each of *m* ships. Again, she would like to group up those ships whose hyperspace jump subspaces are equal. To do so, she wants to assign a group number between 1 and *m* to each of the ships, so that two ships have the same group number if and only if their corresponding subspaces are equal (even though they might be given using different sets of vectors). Help Heidi!The first line of the input contains two space-separated integers *m* and *d* (2<=≤<=*m*<=≤<=30<=000, 1<=≤<=*d*<=≤<=5) – the number of ships and the dimension of the full underlying vector space, respectively. Next, the *m* subspaces are described, one after another. The *i*-th subspace, which corresponds to the *i*-th ship, is described as follows: The first line contains one integer *k**i* (1<=≤<=*k**i*<=≤<=*d*). Then *k**i* lines follow, the *j*-th of them describing the *j*-th vector sent by the *i*-th ship. Each of the *j* lines consists of *d* space-separated integers *a**j*, *j*<==<=1,<=...,<=*d*, that describe the vector ; it holds that |*a**j*|<=≤<=250. The *i*-th subspace is the linear span of these *k**i* vectors.Output *m* space-separated integers *g*1,<=...,<=*g**m*, where denotes the group number assigned to the *i*-th ship. That is, for any 1<=≤<=*i*<=&lt;<=*j*<=≤<=*m*, the following should hold: *g**i*<==<=*g**j* if and only if the *i*-th and the *j*-th subspaces are equal. In addition, the sequence (*g*1,<=*g*2,<=...,<=*g**m*) should be lexicographically minimal among all sequences with that property.
codeforces
D2
958
2025-01-20 20:58:05.360400
hard
[]
[]
[]
def solve(): n, k = map(int, input().split()) s = input() available_times = [] for i in range(n): if s[i] == '0': available_times.append(i) if k == 2: print(available_times[-1] - available_times[0] - 1) return bars_eaten = [available_times[0], available_times[-1]] remaining_bars = k - 2
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Suffix Structures
Bizon the Champion isn't just a bison. He also is a favorite of the "Bizons" team. At a competition the "Bizons" got the following problem: "You are given two distinct words (strings of English letters), *s* and *t*. You need to transform word *s* into word *t*". The task looked simple to the guys because they know the suffix data structures well. Bizon Senior loves suffix automaton. By applying it once to a string, he can remove from this string any single character. Bizon Middle knows suffix array well. By applying it once to a string, he can swap any two characters of this string. The guys do not know anything about the suffix tree, but it can help them do much more. Bizon the Champion wonders whether the "Bizons" can solve the problem. Perhaps, the solution do not require both data structures. Find out whether the guys can solve the problem and if they can, how do they do it? Can they solve it either only with use of suffix automaton or only with use of suffix array or they need both structures? Note that any structure may be used an unlimited number of times, the structures may be used in any order.The first line contains a non-empty word *s*. The second line contains a non-empty word *t*. Words *s* and *t* are different. Each word consists only of lowercase English letters. Each word contains at most 100 letters.In the single line print the answer to the problem. Print "need tree" (without the quotes) if word *s* cannot be transformed into word *t* even with use of both suffix array and suffix automaton. Print "automaton" (without the quotes) if you need only the suffix automaton to solve the problem. Print "array" (without the quotes) if you need only the suffix array to solve the problem. Print "both" (without the quotes), if you need both data structures to solve the problem. It's guaranteed that if you can solve the problem only with use of suffix array, then it is impossible to solve it only with use of suffix automaton. This is also true for suffix automaton.
codeforces
B
448
2025-01-20 20:58:05.360400
medium
[]
[]
[]
def solve(): s = input() n = len(s) def is_valid_email(email): if "@" not in email: return False parts = email.split("@") if len(parts)!= 2: return False return True def find_solutions(index, current_solution): if index == n: yield current_solution return for i in range(index + 1, n + 1): substring = s[index:i] if is_valid_email(substring): yield from find_solutions(i, current_solution + [substring]) solutions = list(find_solutions(0, [])) if not solutions: print("No solution") else: print(",".join(solutions[0])) solve()
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Возможно, вы знаете этих людей?
"Основой любой социальной сети является отношение дру(...TRUNCATED)
codeforces
A
524
2025-01-20 20:58:05.360400
medium
[]
[]
[]
"def solve():\n n = int(input())\n trips = []\n for _ in range(n):\n trips.append(in(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,23277,284,4260,262,369,721,304,2134,1471,997,28(...TRUNCATED)
[[128000,755,11886,4019,262,308,284,528,5498,2455,262,23277,284,4260,262,369,721,304,2134,1471,997,2(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,23277,284,4260,262,369,721,304,2134,1471,997,28(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,23277,284,4260,262,369,721,304,2134,1471,997,28(...TRUNCATED)
Luxurious Houses
"The capital of Berland has *n* multifloor buildings. The architect who built up the capital was ver(...TRUNCATED)
codeforces
B
581
2025-01-20 20:58:05.360400
medium
[]
[]
[]
"def solve():\n n = int(input())\n t = list(map(int, input().split()))\n \n visited = se(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,259,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
[[128000,755,11886,4019,262,308,284,528,5498,2455,262,259,284,1160,9325,1577,11,1988,1020,7105,12419(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,259,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,259,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
Mister B and Astronomers
"After studying the beacons Mister B decided to visit alien's planet, because he learned that they l(...TRUNCATED)
codeforces
D
819
2025-01-20 20:58:05.360400
hard
[]
[]
[]
"def solve():\n n, k = map(int, input().split())\n a = list(map(int, input().split()))\n b (...TRUNCATED)
[128000,755,11886,4019,262,308,11,597,284,2472,1577,11,1988,1020,7105,2455,262,264,284,1160,9325,157(...TRUNCATED)
[[128000,755,11886,4019,262,308,11,597,284,2472,1577,11,1988,1020,7105,2455,262,264,284,1160,9325,15(...TRUNCATED)
[128000,755,11886,4019,262,308,11,597,284,2472,1577,11,1988,1020,7105,2455,262,264,284,1160,9325,157(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,11,597,284,2472,1577,11,1988,1020,7105,2455,262,264,284,1160,9325,157(...TRUNCATED)
Mages and Monsters
"Vova plays a computer game known as Mages and Monsters. Vova's character is a mage. Though as he ha(...TRUNCATED)
codeforces
F
792
2025-01-20 20:58:05.360400
hard
[]
[]
[]
"def solve():\n n = int(input())\n a = list(map(int, input().split()))\n \n bonus = 0\n (...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,264,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
[[128000,755,11886,4019,262,308,284,528,5498,2455,262,264,284,1160,9325,1577,11,1988,1020,7105,12419(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,264,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,284,528,5498,2455,262,264,284,1160,9325,1577,11,1988,1020,7105,12419,(...TRUNCATED)
Xor-matic Number of the Graph
"You are given an undirected graph, constisting of *n* vertices and *m* edges. Each edge of the grap(...TRUNCATED)
codeforces
G
724
2025-01-20 20:58:05.360400
hard
[]
[]
[]
"def solve():\n s = input()\n n = len(s)\n \n def is_beautiful(x):\n x_str = str((...TRUNCATED)
[128000,755,11886,4019,262,274,284,1988,746,262,308,284,2479,1161,340,1084,262,711,374,21960,35777,2(...TRUNCATED)
[[128000,755,11886,4019,262,274,284,1988,746,262,308,284,2479,1161,340,1084,262,711,374,21960,35777,(...TRUNCATED)
[128000,755,11886,4019,262,274,284,1988,746,262,308,284,2479,1161,340,1084,262,711,374,21960,35777,2(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,274,284,1988,746,262,308,284,2479,1161,340,1084,262,711,374,21960,35777,2(...TRUNCATED)
Reachability from the Capital
"There are $n$ cities and $m$ roads in Berland. Each road connects a pair of cities. The roads in Be(...TRUNCATED)
codeforces
E
999
2025-01-20 20:58:05.360400
hard
[]
[]
[]
"def solve():\n n, m = map(int, input().split())\n edges = []\n for _ in range(m):\n (...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,13116,284,4260,262,36(...TRUNCATED)
[[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,13116,284,4260,262,3(...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,13116,284,4260,262,36(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,13116,284,4260,262,36(...TRUNCATED)
Cut 'em all!
"You're given a tree with $n$ vertices.\n\nYour task is to determine the maximum possible number of (...TRUNCATED)
codeforces
C
982
2025-01-20 20:58:05.360400
medium
[]
[]
[]
"def solve():\n n, m = map(int, input().split())\n islands = []\n for _ in range(n):\n (...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,30100,284,4260,262,36(...TRUNCATED)
[[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,30100,284,4260,262,3(...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,30100,284,4260,262,36(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,11,296,284,2472,1577,11,1988,1020,7105,2455,262,30100,284,4260,262,36(...TRUNCATED)
Robots protection
"Company \"Robots industries\" produces robots for territory protection. Robots protect triangle ter(...TRUNCATED)
codeforces
I
575
2025-01-20 20:58:05.360400
hard
[]
[]
[]
"def solve():\n n, x = map(int, input().split())\n s = input()\n \n def fibonacci(x):\n (...TRUNCATED)
[128000,755,11886,4019,262,308,11,865,284,2472,1577,11,1988,1020,7105,2455,262,274,284,1988,746,1084(...TRUNCATED)
[[128000,755,11886,4019,262,308,11,865,284,2472,1577,11,1988,1020,7105,2455,262,274,284,1988,746,108(...TRUNCATED)
[128000,755,11886,4019,262,308,11,865,284,2472,1577,11,1988,1020,7105,2455,262,274,284,1988,746,1084(...TRUNCATED)
[128000,128006,9125,128007,271,38766,1303,33025,2696,25,6790,220,2366,18,198,15724,2696,25,220,1627,(...TRUNCATED)
[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
[128000,755,11886,4019,262,308,11,865,284,2472,1577,11,1988,1020,7105,2455,262,274,284,1988,746,1084(...TRUNCATED)
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