Topic: backtracking-problem / Level: advanced

• 2002. Solve the N-Queens problem for an arbitrary n x n chessboard, counting all distinct solutions.
• 2003. Generate all valid permutations of a given string with potential duplicates in characters.
• 2004. Find all possible combinations of k numbers from a larger set that sum to a target value.
• 2005. Generate all unique ways to place n rooks on an n x n chessboard such that no two can attack each other.
• 2006. Solve the Sudoku problem by filling a partially completed 9x9 grid with valid numbers.
• 2007. Print all valid parentheses combinations for n pairs of parentheses using backtracking.
• 2008. Find all unique palindromic partitions of a string such that each substring is a palindrome.
• 2009. Solve the "Word Search" problem by finding all words in a grid that exist in a given dictionary.
• 2010. Generate all distinct ways to color a graph using k colors while ensuring no two adjacent vertices share the same color.
• 2011. Solve the "Combination Sum II" problem where the same number may be chosen from candidates an unlimited number of times.
• 2012. Print all valid combinations of k elements from a set of n elements where each element can be used only once.
• 2013. Generate all unique combinations of a list of coins that sum to a specific target value, using each coin once.
• 2014. Solve the "Knights Tour" problem by finding all possible tours of the knight on a chessboard.
• 2015. Find all unique combinations of numbers that can add up to a target value from a set of integers.
• 2016. Print all valid configurations of a binary tree based on specific node values given in a level-order format.
• 2017. Generate all valid arrangements of n pairs of parentheses, ensuring they are correctly balanced.
• 2018. Solve the "K-Sum" problem where you need to find k numbers from an array that sum up to a target.
• 2019. Find all possible ways to partition a string into substrings such that each substring is a valid word in a dictionary.
• 2020. Generate all valid configurations of a Sudoku puzzle with some cells filled and others empty.
• 2021. Solve the "Hamiltonian Cycle" problem by finding all cycles that visit each vertex exactly once.
• 2022. Find all unique paths in a grid from the top-left corner to the bottom-right corner while avoiding obstacles.
• 2023. Print all valid sequences of moves that a knight can take to reach a target square on a chessboard.
• 2024. Generate all distinct combinations of coin denominations that can sum to a specific target value.
• 2025. Solve the "Sum of Subsets" problem by finding all subsets of an array that sum to a given value.
• 2026. Find all valid permutations of a list of tasks with specific precedence constraints.
• 2027. Print all valid configurations for a magic square of order n, ensuring all rows, columns, and diagonals sum to the same value.
• 2028. Generate all possible sequences of k moves that lead to a specific outcome in a board game.
• 2029. Solve the "Longest Palindromic Subsequence" problem by finding the longest subsequence that is a palindrome.
• 2030. Find all unique arrangements of items in a multiset, where some items may be indistinguishable.
• 2031. Print all valid paths through a network of cities while minimizing travel costs and time.
• 2032. Generate all distinct ways to fill a grid with numbers that satisfy given constraints.
• 2033. Solve the "Meeting Rooms II" problem by finding the minimum number of meeting rooms required.
• 2034. Find all unique paths from the root to leaves in a binary tree, printing each path as a list.
• 2035. Print all valid combinations of exercise routines for a fitness program based on user goals.
• 2036. Generate all possible combinations of numbers that can be selected to achieve a target sum using dynamic programming.
• 2037. Solve the "Traveling Salesman Problem" by finding the shortest possible route visiting a set of cities.
• 2038. Find all valid configurations of a seating arrangement for a theater performance based on audience preferences.
• 2039. Print all unique combinations of exercises that can be performed during a workout session based on time constraints.
• 2040. Generate all valid sequences of actions in a game while ensuring compliance with game rules.
• 2041. Solve the "Graph Coloring" problem by determining the minimum number of colors needed to color a graph.
• 2042. Find all unique ways to allocate resources among various projects based on constraints and dependencies.
• 2043. Print all valid paths from the start to the end of a grid while avoiding specific obstacles.
• 2044. Generate all distinct ways to fill a box with different items while adhering to specific weight constraints.
• 2045. Solve the "Word Break" problem by determining if a string can be segmented into valid words from a dictionary.
• 2046. Find all unique combinations of scores that can be achieved in a game based on awarded points.
• 2047. Print all valid sequences of moves for a chess piece based on special rules and game conditions.
• 2048. Generate all possible ways to allocate time for activities during a conference while considering scheduling conflicts.
• 2049. Solve the "Knapsack Problem" using dynamic programming to maximize the total value of items within a weight limit.
• 2050. Find all valid paths through a maze represented as a 2D grid while avoiding certain areas.
• 2051. Print all unique combinations of colors for an art project based on available shades and themes.

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