I have a random number generator:

int32_t ksp_random_table[GENERATOR_DEG] = {
-1726662223,   379960547,  1735697613,  1040273694,  1313901226,  1627687941,
-179304937, -2073333483,  1780058412, -1989503057,  -615974602,   344556628,
 939512070, -1249116260,  1507946756,  -812545463,   154635395,  1388815473,
-1926676823,   525320961, -1009028674,   968117788,  -123449607,  1284210865,
 435012392, -2017506339,  -911064859,  -370259173,  1132637927,  1398500161,
-205601318,
};
int front_pointer=3, rear_pointer=0;

int32_t ksp_rand() {
  int32_t result;
  ksp_random_table[ front_pointer ] += ksp_random_table[ rear_pointer ];
  result = ( ksp_random_table[ front_pointer ] >> 1 ) & 0x7fffffff;
  front_pointer++, rear_pointer++;
  if (front_pointer >= GENERATOR_DEG) front_pointer = 0;
  if (rear_pointer >= GENERATOR_DEG) rear_pointer = 0;
  return result;
} 

void ksp_srand(unsigned int seed) {
  int32_t i, dst=0, kc=GENERATOR_DEG, word, hi, lo;
  word = ksp_random_table[0] = (seed==0) ? 1 : seed;
  for (i = 1; i < kc; ++i) {
    hi = word / 127773, lo = word % 127773;
    word = 16807 * lo - 2836 * hi;
    if (word < 0) word += 2147483647;
    ksp_random_table[++dst] = word;
  }
  front_pointer=3, rear_pointer=0;
  kc *= 10;
  while (--kc >= 0) ksp_rand();
}

I'd like know what type of pseudo random number generation algorithm this is. My guess is a multiple linear congruential generator. And is there a way of seeding this algorithm so that after 987721(1043*947) numbers it would return 15 either even-only, odd-only or alternating odd and even numbers? It is a part of an assignment for a long term competition and i've got no idea how to solve it.

I don't want the final solution, I'd like to learn how to do it myself.