Balance Loop

You complete Balance Loop when the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim.

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How to play

You complete Balance Loop when the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim.

  • Balance Loop opens from a versioned seeded position built for White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity. Its game ID, rules profile, and deal identity are stored together so restart recreates the same opening without a server request.
  • Every Balance Loop action is checked against the current board, available material, and this defining restriction: White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. Partial assignments remain legal only while at least one completion still satisfies those constraints. Invalid, stale, or post-terminal actions leave the position unchanged.
  • You complete Balance Loop when the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim.

Strategy tips

  • A practical Balance Loop plan is to preserve several legal continuations around White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity. Use the deterministic hint to inspect one legal action, then compare how it affects the documented objective before committing.
  • A common Balance Loop error is to ignore the boundary rule that White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. Partial assignments remain legal only while at least one completion still satisfies those constraints. Undo is useful for studying that decision, while restart deliberately preserves the original seeded position.
  • Near the end of Balance Loop, recount the remaining obligations needed until the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. Check the boundary rule after every final placement or transfer because terminal status is enforced immediately.

Complete guide

Rules, scoring, and strategy

Balance Loop uses the independently implemented Balance Loop balanced straight runs rules profile v1 profile (R551). Balance Loop is a complete deterministic browser game whose distinct rules centre on White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity.

Setup and opening position

Balance Loop opens from a versioned seeded position built for White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity. Its game ID, rules profile, and deal identity are stored together so restart recreates the same opening without a server request.

Legal moves and game flow

Every Balance Loop action is checked against the current board, available material, and this defining restriction: White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. Partial assignments remain legal only while at least one completion still satisfies those constraints. Invalid, stale, or post-terminal actions leave the position unchanged.

Winning and terminal positions

You complete Balance Loop when the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. The engine evaluates the full position rather than relying on a visual shortcut or an unsupported solvability claim. Near the end of Balance Loop, recount the remaining obligations needed until the completed grid satisfies the balanced straight runs constraint set, every fixed clue, and the profile's whole-board completion test. Check the boundary rule after every final placement or transfer because terminal status is enforced immediately.

Practical strategy

A practical Balance Loop plan is to preserve several legal continuations around White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity. Use the deterministic hint to inspect one legal action, then compare how it affects the documented objective before committing. A common Balance Loop error is to ignore the boundary rule that White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. Partial assignments remain legal only while at least one completion still satisfies those constraints. Undo is useful for studying that decision, while restart deliberately preserves the original seeded position.

Questions players ask

What makes Balance Loop a separate game?

Balance Loop has its own runtime and save identity because its rules require White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. The independent runtime records this exact balanced straight runs rules identity.

Which Balance Loop edge rule matters most?

White circles have equal adjacent straight runs, black circles unequal runs, and numbers give their sum. Partial assignments remain legal only while at least one completion still satisfies those constraints.

Can a Balance Loop position be reproduced?

Balance Loop stores its game ID, rules version, and seeded deal identity. Those values recreate the same opening locally without promising that the position is forced or winnable.