|
| 1 | +/** |
| 2 | + * [1775] Equal Sum Arrays With Minimum Number of Operations |
| 3 | + * |
| 4 | + * You are given two arrays of integers nums1 and <font face="monospace">nums2</font>, possibly of different lengths. The values in the arrays are between 1 and 6, inclusive. |
| 5 | + * In one operation, you can change any integer's value in any of the arrays to any value between 1 and 6, inclusive. |
| 6 | + * Return the minimum number of operations required to make the sum of values in nums1 equal to the sum of values in nums2. Return -1 if it is not possible to make the sum of the two arrays equal. |
| 7 | + * |
| 8 | + * Example 1: |
| 9 | + * |
| 10 | + * Input: nums1 = [1,2,3,4,5,6], nums2 = [1,1,2,2,2,2] |
| 11 | + * Output: 3 |
| 12 | + * Explanation: You can make the sums of nums1 and nums2 equal with 3 operations. All indices are 0-indexed. |
| 13 | + * - Change nums2[0] to 6. nums1 = [1,2,3,4,5,6], nums2 = [<u>6</u>,1,2,2,2,2]. |
| 14 | + * - Change nums1[5] to 1. nums1 = [1,2,3,4,5,<u>1</u>], nums2 = [6,1,2,2,2,2]. |
| 15 | + * - Change nums1[2] to 2. nums1 = [1,2,<u>2</u>,4,5,1], nums2 = [6,1,2,2,2,2]. |
| 16 | + * |
| 17 | + * Example 2: |
| 18 | + * |
| 19 | + * Input: nums1 = [1,1,1,1,1,1,1], nums2 = [6] |
| 20 | + * Output: -1 |
| 21 | + * Explanation: There is no way to decrease the sum of nums1 or to increase the sum of nums2 to make them equal. |
| 22 | + * |
| 23 | + * Example 3: |
| 24 | + * |
| 25 | + * Input: nums1 = [6,6], nums2 = [1] |
| 26 | + * Output: 3 |
| 27 | + * Explanation: You can make the sums of nums1 and nums2 equal with 3 operations. All indices are 0-indexed. |
| 28 | + * - Change nums1[0] to 2. nums1 = [<u>2</u>,6], nums2 = [1]. |
| 29 | + * - Change nums1[1] to 2. nums1 = [2,<u>2</u>], nums2 = [1]. |
| 30 | + * - Change nums2[0] to 4. nums1 = [2,2], nums2 = [<u>4</u>]. |
| 31 | + * |
| 32 | + * |
| 33 | + * Constraints: |
| 34 | + * |
| 35 | + * 1 <= nums1.length, nums2.length <= 10^5 |
| 36 | + * 1 <= nums1[i], nums2[i] <= 6 |
| 37 | + * |
| 38 | + */ |
| 39 | +pub struct Solution {} |
| 40 | + |
| 41 | +// problem: https://leetcode.com/problems/equal-sum-arrays-with-minimum-number-of-operations/ |
| 42 | +// discuss: https://leetcode.com/problems/equal-sum-arrays-with-minimum-number-of-operations/discuss/?currentPage=1&orderBy=most_votes&query= |
| 43 | + |
| 44 | +// submission codes start here |
| 45 | + |
| 46 | +impl Solution { |
| 47 | + pub fn min_operations(nums1: Vec<i32>, nums2: Vec<i32>) -> i32 { |
| 48 | + let a: i32 = nums1.iter().map(|&x| x as i32).sum(); |
| 49 | + let b = nums2.iter().map(|&x| x as i32).sum(); |
| 50 | + |
| 51 | + if (a < b) { |
| 52 | + return Self::min_operations(nums2, nums1); |
| 53 | + } |
| 54 | + |
| 55 | + let mut pq = std::collections::BinaryHeap::new(); |
| 56 | + let mut amount = a - b; |
| 57 | + |
| 58 | + for n in nums1 { |
| 59 | + if n > 1 { |
| 60 | + pq.push(n - 1); |
| 61 | + } |
| 62 | + } |
| 63 | + |
| 64 | + for n in nums2 { |
| 65 | + if n < 6 { |
| 66 | + pq.push(6 - n); |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | + let mut result = 0; |
| 71 | + |
| 72 | + while amount > 0 && pq.is_empty() == false { |
| 73 | + amount -= pq.pop().unwrap(); |
| 74 | + result += 1; |
| 75 | + } |
| 76 | + |
| 77 | + if amount > 0 { |
| 78 | + return -1; |
| 79 | + } |
| 80 | + |
| 81 | + result |
| 82 | + } |
| 83 | +} |
| 84 | + |
| 85 | +// submission codes end |
| 86 | + |
| 87 | +#[cfg(test)] |
| 88 | +mod tests { |
| 89 | + use super::*; |
| 90 | + |
| 91 | + #[test] |
| 92 | + fn test_1775_example_1() { |
| 93 | + let nums1 = vec![1, 2, 3, 4, 5, 6]; |
| 94 | + let nums2 = vec![1, 1, 2, 2, 2, 2]; |
| 95 | + |
| 96 | + let result = 3; |
| 97 | + |
| 98 | + assert_eq!(Solution::min_operations(nums1, nums2), result); |
| 99 | + } |
| 100 | + |
| 101 | + #[test] |
| 102 | + fn test_1775_example_2() { |
| 103 | + let nums1 = vec![1, 1, 1, 1, 1, 1, 1]; |
| 104 | + let nums2 = vec![6]; |
| 105 | + |
| 106 | + let result = -1; |
| 107 | + |
| 108 | + assert_eq!(Solution::min_operations(nums1, nums2), result); |
| 109 | + } |
| 110 | + |
| 111 | + #[test] |
| 112 | + fn test_1775_example_3() { |
| 113 | + let nums1 = vec![6, 6]; |
| 114 | + let nums2 = vec![1]; |
| 115 | + |
| 116 | + let result = 3; |
| 117 | + |
| 118 | + assert_eq!(Solution::min_operations(nums1, nums2), result); |
| 119 | + } |
| 120 | +} |
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