| Stage | Function | Before IDC | After IDC and before MPC | After MPC |
| Initialization | Initial domain reduction | — | : −2, 2, : −2, 2, : −2, 2 | : −1, 2 , : −2, 1 , : −1, 2 |
| State space search | MPC check when is assigned −1 | : −1, 2, : −2, 1, : −1, 2 | : −1, 2, : −1, −1 , : −1, 2 | : 0, 2 , : −1, −1, : 0, 2 | MPC check when is assigned 1 | : 0, 2, : −1, −1, : 0, 2 | : 1, 1 , : −1, −1, : 0, 2 | : 1, 1, : −1, −1, : 0, 2 | MPC check when is assigned 1 | : 1, 1, : −1, −1, : 0, 2 | : 1, 1, : −1, −1, : 1, 1 | : 1, 1, : −1, −1, : 1, 1 |
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