A LITTLE STRATEGY

The shortest route is rarely a straight line

Why moving away from the target can bring you closer, and how to spot a useful detour.

There is a very natural way to approach a word ladder: find the letters that do not match the target, then fix them one by one. It sounds sensible. If FEET is the destination, surely adding an F or an E is progress.

Sometimes it is. Sometimes that attractive move leaves you with nowhere useful to go. A ladder is made of real words, and real words do not arrange themselves along a straight line.

Matching letters are a clue, not a promise

The number of mismatching positions tells you the absolute minimum number of changes you could need. If three positions differ, a route cannot be shorter than three moves. But the dictionary may force you to take more.

Why? Because each intermediate result also has to be a word. A letter change that looks perfect on paper is useless if it produces a string the game cannot accept.

This is also why letters that already match FEET are not locked. You may need to change one away from the target, cross to another word family, and bring it back later. That can still be the shortest route available.

Think about the last move before the first

Working backward is especially useful when the destination stays the same. Ask what the final word before FEET could be.

FEED differs in the last letter. FEEL does too. MEET differs in the first, while FRET changes the second. Each is a possible final bridge.

Instead of treating FEET as one distant destination, you now have several smaller targets. Your current word may have a natural route toward FEED even when no direct route toward FEET is obvious.

You can work backward another step, too. SEED leads to FEED. MEAN leads to MEAT, which leads to MEET. The point is not to memorize a single answer, but to recognize useful neighbourhoods.

Look for options, not just proximity

A word with several valid neighbours gives you flexibility. A word with only one useful neighbour can force you to retreat. Before submitting a tempting move, take a moment to imagine what could follow it.

This does not require solving the whole puzzle in advance. A two-move lookahead can be enough: “If I change this letter now, what can I change next?”

When you are stuck, scan the four positions in a consistent order. First letter, second, third, last. It is easy to spend a minute changing vowels while missing a simple first-letter swap.

A useful detour is different from a loop

Repeating a word is allowed when the move itself is valid, but a repeated section cannot improve a shortest route. If you return to exactly the same word, you are back in the same position with extra steps behind you.

Still, a loop is not a failed game. It may be the simplest way to recover from an unhelpful branch after you have submitted it. Since submitted rows stay in your record, choose a route forward and keep going. You can review the alternative afterward.

In Unlimited mode, this is a useful exercise: finish a ladder, then ask which part of the journey you would omit if you saw that start again. Practice does not affect your daily streak, so there is room to explore.

Why the solver knows the minimum

Imagine every dictionary word as a point. Join two points if they differ in exactly one letter. This forms a network: the word graph.

Our solver searches that network in layers. First it checks every word one step from the start, then every word two steps away, and so on. When it first reaches the destination, a shorter route cannot be hiding in a later layer.

That method is called breadth-first search. It explains why par is an exact minimum for this dictionary, rather than an estimate or a preferred answer. If several shortest routes exist, the solver shows one of them.

Review after the surprise is over

The Answers archive waits until a daily puzzle has ended before publishing its route. Start with the hints rather than revealing everything at once. Compare the first bridge with the route you chose, and notice where the paths diverge.

Sometimes the lesson is a new word. More often, it is a familiar word in an unfamiliar place. That is one of the quiet pleasures of a ladder: the next route gets easier because you learned to see a connection that was there all along.