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La restricción es que la suma de los números en cada fila y cada columna debe ser igual a un valor específico S.\n\n## Enfoque\n- **Búsqueda Combinatoria**: El algoritmo explora posibles distribuciones de números utilizando técnicas de backtracking y satisfacción de restricciones.\n- **Equilibrio en la Matriz**: La solución garantiza que las sumas de filas y columnas se mantengan mientras se ubican los números únicos en la cuadrícula.\n\n## Aplicaciones\nEste ejercicio es útil en problemas de asignación de recursos en cuadrículas, diseño de juegos estratégicos y optimización combinatoria en planificación y programación de sistemas.\n\n-----------------------------------------------------------\n\n\n## Problem Description\nThe objective of this exercise is to develop an algorithm to place n*n distinct natural numbers, ranging from 1 to a value k (where k \u003e n*n), on an n x n board. The constraint is that the sum of the numbers in each row and each column must be equal to a specific value S.\n\n## Approach\n- **Combinatorial Search**: The algorithm explores possible distributions of numbers using backtracking and constraint satisfaction techniques.\n- **Matrix Balancing**: The solution ensures that row and column sums are maintained while placing unique numbers in the grid.\n\n## Applications\nThis exercise is relevant in problems involving grid-based resource allocation, strategic game design, and combinatorial optimization in scheduling and planning systems.\n\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fanaliaburgosdev%2Fjava_backtracking_magic-board","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fanaliaburgosdev%2Fjava_backtracking_magic-board","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fanaliaburgosdev%2Fjava_backtracking_magic-board/lists"}