|
| 1 | +/** |
| 2 | + * [2145] Count the Hidden Sequences |
| 3 | + * |
| 4 | + * You are given a 0-indexed array of n integers differences, which describes the differences between each pair of consecutive integers of a hidden sequence of length (n + 1). More formally, call the hidden sequence hidden, then we have that differences[i] = hidden[i + 1] - hidden[i]. |
| 5 | + * You are further given two integers lower and upper that describe the inclusive range of values [lower, upper] that the hidden sequence can contain. |
| 6 | + * |
| 7 | + * For example, given differences = [1, -3, 4], lower = 1, upper = 6, the hidden sequence is a sequence of length 4 whose elements are in between 1 and 6 (inclusive). |
| 8 | + * |
| 9 | + * [3, 4, 1, 5] and [4, 5, 2, 6] are possible hidden sequences. |
| 10 | + * [5, 6, 3, 7] is not possible since it contains an element greater than 6. |
| 11 | + * [1, 2, 3, 4] is not possible since the differences are not correct. |
| 12 | + * |
| 13 | + * |
| 14 | + * |
| 15 | + * Return the number of possible hidden sequences there are. If there are no possible sequences, return 0. |
| 16 | + * |
| 17 | + * Example 1: |
| 18 | + * |
| 19 | + * Input: differences = [1,-3,4], lower = 1, upper = 6 |
| 20 | + * Output: 2 |
| 21 | + * Explanation: The possible hidden sequences are: |
| 22 | + * - [3, 4, 1, 5] |
| 23 | + * - [4, 5, 2, 6] |
| 24 | + * Thus, we return 2. |
| 25 | + * |
| 26 | + * Example 2: |
| 27 | + * |
| 28 | + * Input: differences = [3,-4,5,1,-2], lower = -4, upper = 5 |
| 29 | + * Output: 4 |
| 30 | + * Explanation: The possible hidden sequences are: |
| 31 | + * - [-3, 0, -4, 1, 2, 0] |
| 32 | + * - [-2, 1, -3, 2, 3, 1] |
| 33 | + * - [-1, 2, -2, 3, 4, 2] |
| 34 | + * - [0, 3, -1, 4, 5, 3] |
| 35 | + * Thus, we return 4. |
| 36 | + * |
| 37 | + * Example 3: |
| 38 | + * |
| 39 | + * Input: differences = [4,-7,2], lower = 3, upper = 6 |
| 40 | + * Output: 0 |
| 41 | + * Explanation: There are no possible hidden sequences. Thus, we return 0. |
| 42 | + * |
| 43 | + * |
| 44 | + * Constraints: |
| 45 | + * |
| 46 | + * n == differences.length |
| 47 | + * 1 <= n <= 10^5 |
| 48 | + * -10^5 <= differences[i] <= 10^5 |
| 49 | + * -10^5 <= lower <= upper <= 10^5 |
| 50 | + * |
| 51 | + */ |
| 52 | +pub struct Solution {} |
| 53 | + |
| 54 | +// problem: https://leetcode.com/problems/count-the-hidden-sequences/ |
| 55 | +// discuss: https://leetcode.com/problems/count-the-hidden-sequences/discuss/?currentPage=1&orderBy=most_votes&query= |
| 56 | + |
| 57 | +// submission codes start here |
| 58 | + |
| 59 | +impl Solution { |
| 60 | + pub fn number_of_arrays(differences: Vec<i32>, lower: i32, upper: i32) -> i32 { |
| 61 | + 0 |
| 62 | + } |
| 63 | +} |
| 64 | + |
| 65 | +// submission codes end |
| 66 | + |
| 67 | +#[cfg(test)] |
| 68 | +mod tests { |
| 69 | + use super::*; |
| 70 | + |
| 71 | + #[test] |
| 72 | + #[ignore] |
| 73 | + fn test_2145_example_1() { |
| 74 | + let differences = vec![1, -3, 4]; |
| 75 | + let lower = 1; |
| 76 | + let upper = 6; |
| 77 | + |
| 78 | + let result = 2; |
| 79 | + |
| 80 | + assert_eq!( |
| 81 | + Solution::number_of_arrays(differences, lower, upper), |
| 82 | + result |
| 83 | + ); |
| 84 | + } |
| 85 | + |
| 86 | + #[test] |
| 87 | + #[ignore] |
| 88 | + fn test_2145_example_2() { |
| 89 | + let differences = vec![3, -4, 5, 1, -2]; |
| 90 | + let lower = -4; |
| 91 | + let upper = 5; |
| 92 | + |
| 93 | + let result = 4; |
| 94 | + |
| 95 | + assert_eq!( |
| 96 | + Solution::number_of_arrays(differences, lower, upper), |
| 97 | + result |
| 98 | + ); |
| 99 | + } |
| 100 | + |
| 101 | + #[test] |
| 102 | + #[ignore] |
| 103 | + fn test_2145_example_3() { |
| 104 | + let differences = vec![4, -7, 2]; |
| 105 | + let lower = 3; |
| 106 | + let upper = 6; |
| 107 | + |
| 108 | + let result = 0; |
| 109 | + |
| 110 | + assert_eq!( |
| 111 | + Solution::number_of_arrays(differences, lower, upper), |
| 112 | + result |
| 113 | + ); |
| 114 | + } |
| 115 | +} |
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