Teza Round 1 (Codeforces Round 1015, Div. 1 + Div. 2)

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2084 Teza Round 1 (Codeforces Round 1015, Div. 1 + Div. 2) FINISHED False 10800 32541923 April 5, 2025, 2:35 p.m.

Problems

Solved
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Name
Type
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Community Tag
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( 111 ) H Turtle and Nediam 2 PROGRAMMING dp

You are given a binary sequence (s) of length (n) which only consists of (0) and (1). You can do the following operation at most (n - 2) times (possibly zero): Let (m) denote the current length of (s). Choose an integer (i) such that (1 \le i \le m - 2). Let the median(^{\text{∗}}) of the subarray (s_i, s_{i + 1}, s_{i + 2}) be (x), and let (j) be the smallest integer such that (j \ge i) and (s_j = x). Remove (s_j) from the sequence and concatenate the remaining parts. In other words, replace (s) with (s_1, s_2, \ldots, s_{j - 1}, s_{j + 1}, s_{j + 2}, \ldots, s_m). Note that after every operation, the length of (s) decreases by (1). Find how many different binary sequences can be obtained after performing the operation, modulo (10^9 + 7). (^{\text{∗}})The median of an array of odd length (k) is the (\frac{k + 1}{2})-th element when sorted. Each test contains multiple test cases. The first line contains the number of test cases (t) ((1 \le t \le 10^4)). The description of the test cases follows. The first line of each test case contains a single integer (n) ((3 \le n \le 2 \cdot 10^6)) — the length of the binary sequence. The second line of each test case contains a string (s) of length (n), consisting of only (0) and (1). It is guaranteed that the sum of (n) over all test cases does not exceed (2 \cdot 10^6). For each test case, output a single integer — the number of binary sequences that can be obtained, modulo (10^9 + 7). In the first test case, the following binary sequences can be obtained: (1, 1), (1, 1, 1), (1, 1, 1, 1), (1, 1, 1, 1, 1). In the second test case, the following binary sequences can be obtained: (0, 1), (0, 1, 1), (1, 0, 1), (1, 0, 0, 1), (1, 0, 1, 1), (1, 0, 0, 0, 1), (1, 0, 0, 1, 1), (1, 0, 0, 0, 1, 1). For example, to o

Tutorials

141155

Submissions

Submission Id
Author(s)
Index
Submitted
Verdict
Language
Test Set
Tests Passed
Time taken (ms)
Memory Consumed (bytes)
Tags
Rating
314161253 Benq H April 5, 2025, 6:48 p.m. OK C++20 (GCC 13-64) TESTS 37 124 15257600
314152641 Ormlis H April 5, 2025, 5:28 p.m. OK C++20 (GCC 13-64) TESTS 37 124 54988800
314160492 tourist H April 5, 2025, 6:42 p.m. OK C++20 (GCC 13-64) TESTS 37 140 38092800
314186521 Sparkle_Twilight H April 6, 2025, 2:20 a.m. OK C++20 (GCC 13-64) TESTS 37 156 30924800
314182408 Benq H April 6, 2025, 12:36 a.m. OK C++20 (GCC 13-64) TESTS 37 171 30924800
314145269 orzdevinwang H April 5, 2025, 5:03 p.m. OK C++23 (GCC 14-64, msys2) TESTS 37 108 42598400
314144885 ecnerwala H April 5, 2025, 5:02 p.m. OK C++23 (GCC 14-64, msys2) TESTS 37 124 44236800
314188258 thanhson0411 H April 6, 2025, 2:55 a.m. OK C++23 (GCC 14-64, msys2) TESTS 37 124 58163200
314192538 rqoi031 H April 6, 2025, 4:14 a.m. OK C++23 (GCC 14-64, msys2) TESTS 37 155 50176000
314186689 NKheyuxiang H April 6, 2025, 2:23 a.m. OK C++23 (GCC 14-64, msys2) TESTS 37 171 50176000
314159109 jiangly H April 5, 2025, 6:32 p.m. OK C++23 (GCC 14-64, msys2) TESTS 37 421 131788800
314198732 ahmedafeef H April 6, 2025, 5:37 a.m. OK GNU C11 TESTS 37 187 50176000

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