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package main
func lengthOfLIS2(nums []int) int {
tail := make([]int, 0)
for i := 0; i < len(nums); i++ {
if i == 0 || nums[i] > tail[len(tail)-1] {
tail = append(tail, nums[i])
} else {
left, right := 0, len(tail)
for left < right {
mid := (left + right) / 2
if tail[mid] < nums[i] {
left = mid + 1
} else {
right = mid
}
}
tail[left] = nums[i]
}
}
return len(tail)
}