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Topic: Backtracking-question / Level: Advanced
401. Solve the N-dimensional N-Queens problem.
402. Find all unique combinations of numbers that can sum to a target using each number at most once.
403. Solve the generalized Sudoku puzzle (KxK grids).
404. Generate all valid arrangements of parentheses in a string with constraints.
405. Find all Hamiltonian cycles in a graph.
406. Solve the problem of k-coloring a graph.
407. Generate all possible subsets of a set with cardinality constraints.
408. Solve the problem of placing non-attacking rooks on a chessboard with specific constraints.
409. Generate all possible sequences of moves in a knight's tour problem.
410. Solve the problem of generating all valid paths in a maze with portals.
411. Find all unique permutations of a list with multiple duplicates.
412. Generate all valid combinations of tiles in a Tetris game.
413. Solve the problem of partitioning a set into K subsets with equal sum.
414. Generate all possible combinations of words that can form a valid sentence with given constraints.
415. Solve the problem of generating all valid solutions for a 3D maze.
416. Find all unique paths in a grid with diagonal movements allowed.
417. Generate all valid colorings of a bipartite graph.
418. Solve the problem of filling a jigsaw puzzle with irregular shapes.
419. Find all valid placements of a word in a word search puzzle with diagonal placements.
420. Generate all combinations of items that fit into a knapsack with weight limits.
421. Solve the problem of generating all unique configurations of a Rubik's cube.
422. Find all unique arrangements of a given string with fixed positions.
423. Generate all valid combinations of moves to reach a target in a grid with obstacles.
424. Solve the problem of generating all valid combinations of jobs for workers with dependencies.
425. Find all possible placements of pentominoes on a grid.
426. Generate all valid sequences of numbers that can form a valid arithmetic expression.
427. Solve the problem of generating all unique combinations of numbers in a list that can form a valid equation.
428. Find all valid placements of objects in a 3D space with constraints.
429. Generate all unique combinations of moves in a strategy board game.
430. Solve the problem of generating all valid permutations of a string with specific letter frequencies.
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Generate all valid combinations of moves to reach a target in a game with obstacles.
Generate all possible sequences of moves in a knight's tour problem.
Generate all valid placements of colors in a coloring puzzle.
Solve the problem of generating all valid placements of chess pieces on a board.
Find all valid combinations of words that can fit into a constrained text box.
Solve the problem of generating all valid paths in a maze with multiple goals.
Solve the problem of generating all unique combinations of coin denominations for making change.
Generate all valid arrangements of a set of numbers.
Solve the problem of generating all possible groupings of elements in a set.
Generate all valid arrangements of a list of books on a shelf with constraints.
Solve the problem of placing queens on a chessboard without attacking each other.
Generate all valid sequences of numbers that can form a valid Fibonacci-like series.
Solve the problem of generating all unique combinations of coins to make change.
Generate all valid sequences of digits that can form a valid PIN.
Solve the N-Queens problem for a 4x4 chessboard.