Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [0, 4, -16, 18, 4, 7, -9, 10, 5, 13, 16, 16, -19, 11, -9, -13]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [17, -15, 20, 1, -2, -9, -17, 16, 15, -18, 12, -11, -9, 17, -17, -15]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-16, -10, 12, 14, -19, -5, 14, -4, 12, -5, 4, -13, -18, 18, 14, 14]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [6, 6, -9, 15, -13, 7, 9, 15, -3, -6, -19, 18, 6, 16, 9, -4]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, -20, -8, -17, -12, 16, 8, 2, -8, 16, 4, -13, -1, -10, -4, 7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, 14, -2, 15, 3, -19, -20, -10, -2, 10, 5, 10, 15, 15, -1, -16]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, -4, 12, -6, 1, -11, -9, 12, -14, 20, 11, -8, 15, -6, -11, 20]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, -4, 13, -19, 16, 14, -9, 12, -3, 16, -7, 3, -15, -20, -4, -18]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-6, 16, -9, 3, 10, -14, 5, 19, -13, 3, 1, 0, 16, -12, -2, 15]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-19, -17, 3, -12, -10, 8, -18, 0, 8, 20, 3, -20, 2, 6, -6, -1]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, -10, 12, -5, -9, -16, 19, 17, -16, -18, -10, 20, -5, 18, -7, 18]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [14, -16, -11, 17, -14, -1, 10, -14, 20, -3, 13, 4, 5, -4, -5, -10]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [4, 17, -12, -6, -7, -13, -11, 14, -13, 5, 20, 11, -5, 6, -18, 6]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-19, -19, 12, 1, 1, 1, 0, -18, -15, 10, 19, -7, 5, -16, 8, -1]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, 18, 12, -8, 0, -16, -11, 20, 8, -11, -2, -19, -8, -1, 14, 11]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-11, 11, 9, 17, 15, 18, 12, -16, -17, -3, -9, -10, -18, 5, -10, 6]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [16, -3, 3, 20, 6, 5, 19, 5, -1, 1, 15, -20, -9, 6, -7, 8]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [8, -14, -10, 2, -10, 4, -1, 14, 17, -4, 12, 6, 2, -14, 17, 14]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-9, 15, 14, 5, -1, 4, 6, -15, -10, -12, -5, 12, 11, -8, -3, -5]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [7, -14, 12, 7, -1, 12, 9, 11, 6, -20, 1, 9, -6, 3, 3, 11]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-13, 15, 12, 5, 9, 1, 16, 11, -2, 8, -3, 1, 15, -11, -9, 17]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, -2, 5, 18, -6, 13, 15, 16, 3, 8, -15, -1, -19, -18, 0, -17]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [3, -11, 13, 7, 10, -4, 12, 11, -10, -6, 13, 10, 3, -15, -11, -3]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-11, -13, -5, 18, -6, -9, 17, 12, 17, 16, -20, -8, 11, 13, -13, 9]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-8, 11, 15, -3, 7, -14, 20, -9, 7, -4, 7, -17, -12, -16, -2, 1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [14, -8, 20, 19, 9, 9, -12, 20, -2, 19, -6, -14, 3, -3, 10, 5]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, -5, -7, 10, 14, -17, -17, -18, 19, -9, 2, 16, 3, 16, 8, 11]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [18, -4, 5, 5, -12, 7, 12, 3, 5, 2, 16, 3, -13, -11, -2, -6]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [3, -12, -3, -20, -16, 4, -10, 6, 0, -6, -7, -2, 13, 8, -16, 20]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [18, 2, -13, -8, 8, 17, -16, 8, 17, -14, 15, -6, -18, -2, 13, 9]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, 0, 16, 2, 12, -10, -12, -15, 13, -2, 8, 19, 18, 7, -2, -3]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [17, 10, 15, -5, -18, 13, -6, -2, 11, -20, 7, 14, -1, -10, 2, -5]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-18, 5, -15, -8, 19, 16, 9, -2, -19, -10, 7, -11, -20, -9, 7, 10]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, 13, 13, 15, -18, -1, 15, -4, -4, -1, -13, -7, -17, 9, 7, -12]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [13, 19, -8, 4, 19, 5, -20, -12, 18, 0, -10, 7, 12, -13, -11, -15]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, 20, 12, -18, -13, 18, 15, 14, 0, 10, 15, -4, 13, 2, -17, -6]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-14, 18, -18, 7, -4, 11, 19, -19, -20, -9, -11, -8, 15, -1, 16, -15]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [18, -5, -12, 9, -19, 1, 8, 14, 16, 5, -6, 13, 3, -11, 18, -2]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, -2, 20, 4, 0, 3, -18, -13, 1, 13, 4, 9, 11, -11, 9, 20]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [5, 0, 3, 19, -12, -16, 19, -4, -2, 8, 11, -14, -17, 8, 2, -19]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-11, -17, -15, -19, 15, 19, -13, 17, -12, -5, 4, 16, 0, -5, 4, 10]

Answer: 8


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [4, 5, 9, -16, 11, -15, -3, -11, -4, 2, 9, 18, 18, -8, -16, -15]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-18, -15, 1, -18, 8, -3, 6, -2, -18, 15, -1, -18, -13, 9, -10, -7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, -17, -7, 16, -6, 7, -6, 11, -10, -10, 10, -8, 7, 20, -2, -20]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-7, -3, 8, 4, 2, -6, -8, 3, -11, 14, 6, 19, -10, -4, 1, 5]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-5, -13, -16, 14, -17, -14, 15, 4, -18, -12, 10, -3, 1, -16, 12, -7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [19, 0, 11, 13, -2, 3, 19, 13, 15, -15, -9, -9, -20, -15, -13, 3]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [3, 14, -17, 17, 3, 0, -10, 14, -18, -1, 13, 4, 19, 2, -7, 4]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, 12, 10, -6, 0, 11, 4, -2, 1, 1, 5, -1, -8, -8, 5, 19]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-17, -20, 16, 4, -8, -4, 5, -4, 2, 4, -12, -12, 15, -17, 1, 2]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, 20, -20, 13, 20, 20, 1, 5, -10, 1, 11, -20, 4, 8, 4, 1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-14, -15, 7, 6, -10, 13, -18, 7, 9, -18, 8, 0, 2, -16, 17, -5]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, 15, -13, -16, -19, 2, 3, -16, 14, 9, 15, 5, 3, 9, -20, -11]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, 5, 5, -14, -20, -5, -2, 11, -16, -19, 1, -5, 8, 9, -18, 13]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-17, -19, 12, -20, 17, -7, -6, 17, 9, 20, -11, -3, -19, -2, -11, 4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-13, 11, 6, 6, 5, 3, -1, 19, -5, -5, -4, -14, -7, 16, -7, 7]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-17, -1, -13, -9, 14, 18, -12, -13, -19, 4, 1, 17, -19, 4, 13, -7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, -2, -1, 9, 17, -7, 6, -7, -12, 11, -10, 9, 19, -2, -9, 4]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [4, 11, -12, -15, -3, 0, -18, 15, 17, 14, -17, 13, 0, 10, -19, -16]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [1, -20, 9, -7, 14, 16, -2, 7, -4, 10, -17, 13, 13, -6, 15, 3]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [18, -12, 5, -14, -2, 2, -1, 15, -16, 15, -4, -8, -16, 12, 2, -9]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, 8, -15, -9, -7, 14, -4, -5, -4, 12, 1, 2, -20, -6, -8, 17]

Answer: 8


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-11, -2, 7, -5, 15, -3, 2, 14, 17, -8, 16, 5, 6, 18, 7, -11]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, -10, 19, 19, -15, -12, -9, 20, -3, -20, 19, -1, -5, -11, -14, -2]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-5, -7, -11, 14, 12, -7, -2, -1, 1, 16, 9, 17, -5, 11, -14, -4]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-6, 15, 11, 16, 15, -18, 7, -13, -2, 5, 13, -3, 5, -13, 4, -9]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-17, 4, 5, 3, 14, -20, -19, 6, 3, -5, 14, 13, -6, 8, -10, 18]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [14, 4, 9, -13, -5, -4, -6, -12, 20, -17, 6, -11, 10, -9, 5, 11]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-19, -13, 6, 17, 20, 7, -12, 15, 1, -16, -3, 6, 15, -2, 2, -7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-4, -11, -16, 15, -15, -20, -12, 16, 0, 7, 9, -14, -15, 6, 0, 16]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [5, 3, -13, -11, 5, 16, -8, 16, -7, -1, -2, 2, 9, -2, 9, 13]

Answer: 8


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-5, 12, -13, -13, -11, 19, -17, -16, -3, 15, -15, -15, -13, -2, -8, 13]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-7, -17, -3, -20, 15, 15, -19, -7, 8, -3, 6, 6, -18, -5, -13, -10]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [12, -20, -5, -1, -10, -9, -13, -13, 2, -14, -11, 2, 11, -20, 18, 4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-13, 5, -19, 3, 17, 8, 14, -1, 7, 16, -11, -7, -11, -17, -15, -6]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-20, -18, -19, -18, -14, 13, -17, 11, 19, -19, 16, 14, -11, -9, 18, -4]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, 12, -5, -18, 5, -12, 10, 20, 4, -20, 9, 2, -16, -12, -18, -12]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, 3, 8, 16, 7, -16, 6, -19, -8, 15, -6, -13, 9, 18, 5, 4]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-20, -9, 18, 12, 1, 20, 10, -5, -12, -10, -19, 15, -18, 11, -8, -18]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [14, -18, -18, -18, -1, 16, 1, -5, 0, 0, -15, 14, 20, 10, 12, -2]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, -8, -20, 12, -13, -1, -17, 17, 3, -2, 15, -3, -10, -15, -4, 6]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, 19, -3, 18, -12, -10, 0, -8, 4, -19, 14, -17, -17, -9, -10, 3]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-14, 14, 3, 12, -8, -19, -13, -9, 8, 10, 8, -8, 7, 7, 0, 0]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [9, -12, 5, -8, 13, -3, 1, -17, 3, -11, 8, -11, -12, -19, -7, -4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [20, 3, 20, -6, 0, -3, -2, 4, -3, -13, -19, -14, 2, -17, 4, 12]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [4, 13, 8, -17, -20, 20, -4, -16, 6, -5, -8, 20, -3, 3, 15, 20]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-14, 7, 13, -15, 12, 17, 20, 16, -9, 9, -5, 11, 2, 15, -18, -1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, 4, 8, 2, 18, 2, 7, -6, -3, -6, -7, 12, 17, -14, 2, -13]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [7, 4, 9, 1, 14, -10, 9, 2, 3, 9, 18, -20, -7, 17, 9, -11]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [19, -17, -1, 1, 10, -7, -11, 4, 9, 17, 13, -12, -17, -8, -8, 4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [17, 7, -13, -15, 8, 16, 20, 3, 0, 6, -4, 7, 17, -19, 5, 9]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [3, 4, -1, 17, 12, 3, 17, 20, -20, 13, 14, 9, 17, 20, -8, -4]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [17, 0, 4, -14, 11, 1, -5, -3, 12, -17, -2, 9, 17, 14, -13, 8]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-4, 9, 16, 17, 12, -3, 14, -15, -2, 2, 0, -7, -4, 11, 0, 1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-18, 7, -19, -8, 13, -4, -6, -18, -2, -12, 0, -17, 20, -12, -4, -4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, -13, 13, 1, -6, -10, 7, -8, 14, -10, -10, -15, 7, -3, -8, -3]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [13, 3, 19, 16, 19, -19, 18, -11, -10, -3, -14, 19, -16, -14, -12, 5]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-19, 2, 12, 17, 17, 19, -12, 5, -13, -9, -17, 10, 17, 16, 20, 4]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-12, 14, -7, -1, 7, 14, -17, -7, -6, -6, -16, 17, 20, 1, -14, -17]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-1, -5, 2, -6, 20, -18, 19, -19, 13, 14, 9, -9, -20, 1, 7, -3]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [11, -15, 18, -3, 18, -13, 15, 13, 3, -19, 16, -3, -8, 17, -10, -15]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [5, 16, -11, 12, -14, 9, -11, 15, -9, -16, 16, -9, 1, -19, 13, 1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, -20, -5, 17, -20, 3, -14, -6, -15, -4, 20, -3, 15, 3, 4, 7]

Answer: 8


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [9, -4, 17, -10, -12, 17, -8, 15, -4, 7, -20, 5, 2, -3, -16, -1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-16, 7, 17, 6, 9, -2, 7, 14, 20, 0, 8, -15, -3, -5, 5, 3]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [15, 1, 19, -5, 5, 15, 18, 8, 8, 12, 1, -4, 4, 4, -13, 10]

Answer: 4


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [1, 12, 5, -8, 12, 11, 7, -3, -10, 20, 6, -17, -9, -8, 15, 19]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [2, -18, -15, -14, -20, -8, -1, 6, -19, -10, -7, -12, 12, 12, -18, -2]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, -1, 6, -7, -16, -20, -20, 9, -19, 9, 14, 13, -14, 11, -7, 6]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [0, -8, 5, 6, 14, 7, 19, 7, 3, 7, 19, 18, 19, 12, 5, 11]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, -18, -4, 1, -3, 5, -1, -2, -19, -14, -8, 2, 3, -6, 18, 11]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-20, -15, 18, 5, -5, 3, 2, 7, 19, 7, 20, -7, -14, 8, 20, -19]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-16, -17, 19, 11, -17, 4, 14, -13, -12, 16, 0, -19, -18, 14, 18, 6]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-2, 6, -12, -5, 6, 3, 7, -5, 5, -8, -11, -19, -6, 13, -20, 0]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-6, -14, 1, 6, 8, 4, -5, -3, -8, -15, -7, -14, 1, -14, 20, -5]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, -14, -17, -8, -18, -16, -3, 8, 7, -7, 10, -20, 7, -5, 6, -11]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-14, -7, -18, -7, -1, 9, -20, 4, -15, -18, 5, -11, 15, -15, 1, -20]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, 5, -20, -17, -14, 4, 5, -2, -1, -2, -19, 19, -18, 1, -4, -6]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-11, -16, 15, -20, 2, 3, -13, 0, -12, -8, 5, 18, -19, 7, 17, -8]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-7, 15, -13, 4, -13, 11, 2, 7, 20, -14, 14, -19, -13, 10, 13, 3]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-6, -18, -5, 16, -4, 9, 17, -6, 4, -6, 16, -14, -8, -4, 19, -20]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-3, 4, 5, -15, -17, 18, 0, 3, 16, -1, 10, -10, 16, -1, 3, -1]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-20, -15, 4, 3, 13, 16, 7, 4, 1, -20, 16, 16, 10, -6, 10, 19]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [19, -20, 10, 18, -13, 16, -20, -16, -8, 12, 7, 1, 13, 18, 19, 0]

Answer: 7


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-10, -15, 19, 8, 16, 8, 12, -3, 7, 15, 10, -12, -13, 7, -2, 16]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-20, 11, 1, -12, 6, 19, -3, 9, -11, -20, -14, -17, 16, -4, 10, 3]

Answer: 5


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [-12, -14, 20, -11, -17, 0, -7, 13, 10, 6, -12, 13, 10, 19, 5, -7]

Answer: 6


Prompt:
You are given a sequence of integers.

Task: compute the length of the Longest Increasing Subsequence (LIS).

Definitions:
- A subsequence is obtained by deleting zero or more elements without changing the order of remaining elements.
- An increasing subsequence is STRICTLY increasing: each next element is > the previous one.

Output requirements:
- Return ONLY the LIS length as an integer.

Sequence: [10, -9, 14, 15, 2, 4, 20, 9, 4, -13, 20, 8, -8, -12, 8, 12]

Answer: 5