You are given an integer array nums
that is sorted in non-decreasing order.
Determine if it is possible to split nums
into one or more subsequences such that both of the following conditions are true:
- Each subsequence is a consecutive increasing sequence (i.e. each integer is exactly one more than the previous integer).
- All subsequences have a length of
3
or more.
Return true
if you can split nums
according to the above conditions, or false
otherwise.
A subsequence of an array is a new array that is formed from the original array by deleting some (can be none) of the elements without disturbing the relative positions of the remaining elements. (i.e., [1,3,5]
is a subsequence of [1,2,3,4,5]
while [1,3,2]
is not).
Input: nums = [1,2,3,3,4,5] Output: true Explanation: nums can be split into the following subsequences: [1,2,3,3,4,5] --> 1, 2, 3 [1,2,3,3,4,5] --> 3, 4, 5
Input: nums = [1,2,3,3,4,4,5,5] Output: true Explanation: nums can be split into the following subsequences: [1,2,3,3,4,4,5,5] --> 1, 2, 3, 4, 5 [1,2,3,3,4,4,5,5] --> 3, 4, 5
Input: nums = [1,2,3,4,4,5] Output: false Explanation: It is impossible to split nums into consecutive increasing subsequences of length 3 or more.
1 <= nums.length <= 104
-1000 <= nums[i] <= 1000
nums
is sorted in non-decreasing order.
use std::collections::HashMap;
impl Solution {
pub fn is_possible(nums: Vec<i32>) -> bool {
let mut count = HashMap::new();
for &num in &nums {
let (a, b, c) = *count.get(&(num - 1)).unwrap_or(&(0, 0, 0));
let (d, e, f) = *count.get(&num).unwrap_or(&(0, 0, 0));
if a > 0 {
count.insert(num - 1, (a - 1, b, c));
count.insert(num, (d, e + 1, f));
} else if b > 0 {
count.insert(num - 1, (a, b - 1, c));
count.insert(num, (d, e, f + 1));
} else if c > 0 {
count.insert(num - 1, (a, b, c - 1));
count.insert(num, (d, e, f + 1));
} else {
count.insert(num, (d + 1, e, f));
}
}
count.values().all(|&(a, b, _)| a | b == 0)
}
}