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Splay Trees

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}<br />

if ( x->parent->right == x and x->parent->parent->left == x->parent)<br />

then zig_zag_right(&x)<br />

return<br />

SPLAY( S, crt){<br />

father = crt->parent<br />

while ( father != NIL){<br />

if ( father->parent == NIL)<br />

then SINGLEROTATE(crt)<br />

else<br />

DOUBLEROTATE(crt)<br />

father = crt->parent<br />

}//end while<br />

*S = crt<br />

}<br />

ZIG_LEFT(x){<br />

splay_node *p, *b<br />

p = (*x)->parent<br />

b = (*x)->right<br />

(*x)->right = p<br />

(*x)->parent = NIL<br />

if ( b != NIL )<br />

b->parent = p<br />

p->left = b<br />

p->parent = (*x)<br />

}<br />

ZIG_RIGHT(x){<br />

splay_node *p, *b<br />

p = (*x)->parent<br />

b = (*x)->left<br />

(*x)->left = p<br />

(*x)->parent = NIL<br />

if ( b != NIL )<br />

b->parent = p<br />

p->right = b<br />

p->parent = (*x)<br />

}<br />

ZIG_ZIG_LEFT(x){<br />

splay_node *p, *g, *ggp<br />

splay_node *b, *c<br />

p = (*x)->parent<br />

g = p->parent<br />

b = (*x)->right<br />

c = p->right<br />

ggp = g->parent<br />

(*x)->right = p<br />

p->parent = (*x)<br />

p->right = g<br />

g->parent = p<br />

if ( b != NIL )<br />

b->parent = p<br />

6

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