Flow & Connect Puzzles: Link Every Pair
Flow puzzles look gentle - a grid dotted with coloured pairs, and all you do is draw a pipe from each dot to its twin. The catch is that the pipes cannot cross, and on most boards every single cell has to be covered by some path. That second rule is what turns a relaxing doodle into a real logic puzzle, because it means the colours have to share the space perfectly with nothing left over. This guide shows you how to stop guessing and start deducing: where to begin, how the fill-the-board rule forces your hand, and the small habits that keep your paths from wasting room.
What the puzzle is really asking
Every Flow board gives you pairs of coloured dots scattered across a grid of squares. Your job is to connect each pair with a single continuous path that moves only up, down, left, or right between neighbouring cells. Two rules govern everything: no path may cross or overlap another, and - on most levels - every cell on the board must end up covered by exactly one path. Reach that and the level is solved.
It helps to read the second rule as the real challenge. Linking two dots by any old route is easy; the difficulty is that the colours have to tile the whole grid together, like puzzle pieces filling a tray with no gaps. So you are never just asking "can I reach the other dot?" You are asking "can I reach it in a way that still leaves room for everyone else to fill what remains?" Holding both questions in mind at once is the entire skill.
Start in the corners and along the edges
The best place to begin is wherever the board gives you the fewest choices, and corners give you the fewest of all. A corner cell has only two neighbours, so whatever path runs through it can only enter from one side and leave by the other - the turn is forced. If a coloured dot sits in a corner, its path is locked into one of just two directions from the very first step. Lay those down first and you have free, risk-free progress.
Edges are the next-easiest ground. A cell against the wall has only three neighbours instead of four, so paths along the border bend in predictable ways and rarely have the freedom to wander. A common, reliable move is to hug the perimeter: when a dot is near an edge, running its path along the wall toward its partner often cannot be improved upon, because the wall removes the option of straying outward. Work the rim of the board into place and the open middle becomes a much smaller, friendlier problem.
Try this first: open any level in Mochi Flow and trace only the corner dots and edge-hugging colours before you touch the centre. You will often find half the board settles itself, and the cells that remain practically tell you which colour has to fill them.
Let "cover every cell" do the deducing
The fill-the-board rule is not just a finishing condition - it is your most powerful clue. Because every cell must be covered, any empty cell that only one colour can possibly reach must belong to that colour. Look for lonely squares boxed in by walls and finished pipes: if just one colour's path can still snake into a pocket, you have found a forced move, no guessing required.
This deduction runs the other way too. If extending a path would seal off a cell so that no colour could ever reach it, that extension is illegal, even though it looks tidy. So before you commit a turn, glance at the cells it would cut off. A path that strands an empty square - one with no surviving way in - has broken the puzzle, and you will have to undo it. Training your eye to spot would-be orphans before you draw them saves a great deal of backtracking.
Counting helps when the grid gets tight. If a region of open cells can only be entered by one colour, and that colour has more cells to fill than the region holds, something upstream is wrong. Treating empty space as territory to be claimed - rather than scenery between dots - is the mindset that turns Flow from luck into logic.
Don't waste space with paths that touch
Here is a subtle trap that quietly ruins solutions: a single colour's path doubling back so that two parts of it run side by side. Picture a path that goes down a column, turns, and comes straight back up the next column, the two halves touching all the way. The connection is technically made, but those two parallel stretches have eaten a fat block of cells that another colour probably needed. On a cover-everything board, that greed almost always leaves some other colour short of room.
The fix is a habit: prefer paths that fill space smoothly rather than folding against themselves. When you notice a colour hugging its own body, ask whether a wider, more spread-out route would cover the same cells while leaving the rest of the board breathable. A good Flow solution looks like several colours sharing the grid evenly, not one colour coiled into a knot while others gasp for cells. If two segments of the same colour are kissing for no reason, that is usually the move to rethink.
A reliable solving routine
Put the ideas together and most boards fall to a calm, repeatable order of operations:
- Lock the corners. Any dot in a corner has a forced first turn - draw those before anything else.
- Work the edges. Run border-hugging colours along the walls where their route can't really be improved.
- Hunt forced cells. Find empty squares only one colour can still reach and claim them; they are not optional.
- Check for orphans. Before committing a turn, make sure it doesn't seal off a cell that no colour could ever reach.
- Fill the middle, spread out. Connect the remaining centre dots with roomy paths, avoiding side-by-side doubling that hoards cells.
- Sweep for gaps. Scan for any uncovered square; on a cover-everything level, an empty cell means a path needs rerouting, not a new colour.
Common mistakes to avoid
Most stuck boards trace back to a handful of habits. Watch for these:
- Connecting by the shortest line. Joining two dots the quick way feels good but often leaves cells uncovered. The goal is a full board, not a fast link.
- Ignoring empty corners. A blank cell tucked in a corner is a warning - if only one colour can still reach it, route that colour there now, before the way in gets blocked.
- Coiling one colour tightly. A path folded against itself wastes a clump of cells and starves the other colours. Spread paths out instead.
- Drawing before checking. Committing a turn without glancing at what it cuts off is how you orphan a cell and force a redo. Look one move ahead.
- Erasing the whole board. When something jams, you rarely need to start over - find the one greedy or short-cutting path and reroute just that colour.
Build the instinct: play a few small boards in Mochi Flow back to back, always finishing the corners and edges before the centre. Once your eye automatically spots a cell only one colour can reach, the larger grids stop feeling crowded and start feeling solvable.
Where to go next
The fastest way to make these deductions automatic is to clear a stack of boards while sticking to the order - corners, edges, forced cells, then the spacious middle. If you enjoy puzzles where a tidy rule turns a crowded grid into a sure thing, you will feel right at home with the logic guides below, from working out forced squares in Sudoku to threading routes in pipe and net rotation puzzles.