THE MAIN ENGINE
Raise 10+ Red Pikmin, then throw them near the box. They will push it and reveal the rocket part. You need 20 to carry it, so raise more if you can.

--------WORLD MINIBOSS: GOOLIX--------
Goolix appears on day 9 and continues through all the odd numbers. Recruit 100 blue Pikmin and lead them to Goolix, which is across the cardboard box. Lead them into Goolix and tap x to make them go nuts and attack the blue nucleus. Although you cannot carry a Goolix, you'll earn some random pellets.

--------WORLD MINIBOSS: MAMUTA--------
Mamuta is the God of all Pikmin. He flattens them into the ground, creating flowers out of Pikmin. Attack with 80+ Pikmin and constantly pull out grounded Pikmin.

POSITRON GENERATOR
Beat the World Boss (see below).

BOMBROCKS
Find the bombs inside the cardboard box.

--------WORLD BOSS: 3 PEARLY CLAMCLAMPS--------
With 40 blue Pikmin, go out to sea and throw some Pikmin on a Clamclamps pearl. Whistle when a second passes after a clam raises it's shell. You will soon pop out a pearl, which is worth 50 Pikmin seeds. One also holds a rocket part.

TIPS:
You have unlimited time the first day. Wait for leaf Pikmin to grow into flowers.

The Mamuta transforms anything he grounds into Flowers. Bring Leaf and Bud Pikmin up... if you get what I mean....