The scenario described indicates the presence of a Buffer Overflow, where the buffer (in this case, an integer array) is fixed in size and not adequately checked for the volume of input supplied, allowing overflow and possible overwrite of other memory areas. A Stack Overflow is incorrect as it specifically pertains to the stack memory segment, usually involved with function call management, not general fixed-size buffer overflows. Integer Overflow deals with errors in arithmetic operations causing the integer to wrap around, which doesn't directly match the scenario presented. Heap Overflow is related to dynamic memory allocation issues in the heap segment, which is also not specified in this scenario.