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Count Islands on Infinite Grid
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Count Islands on Infinite Grid

HardSQL · PostgreSQL

Problem

Infinitely large grid of water; cells can be converted to land at any time; answer repeated queries of how many islands there are

Asked in the Round 1 stage. Treat cells as connected only through their four direct neighbors. A query asks for the island count after a specified operation has been applied.

Output

  1. One row per query, with query_id, operation_id, and island_count
  2. Include queries in ascending query_id order
  3. Count each connected land component once, and return zero when no land exists

Schema

grid_operations
ColumnTypeDescription
operation_idPKINTSequential land-conversion operation identifier
row_coordINTRow coordinate of the converted cell
col_coordINTColumn coordinate of the converted cell
operation_noteVARCHAR(100)Optional note about the operation
island_queries
ColumnTypeDescription
query_idPKINTIdentifier for the repeated query
operation_idINTOperation state at which the island count is requested
query_labelVARCHAR(100)Optional label for the query
Tablesgrid_operationsisland_queries
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