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Count the number of ways to choose exactly k non-overlapping line segments on n collinear integer points (points 0..n-1), where each segment covers at least two points, segments may share endpoints, and the answer is modulo 1e9+7. This is typically solved with dynamic programming / combinatorics over positions and segments (n ≤ 1000, k ≤ n−1).
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Leetcode 1621. Number of Sets of K Non-Overlapping Line Segments
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