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Iterative postorder with two stacks, step by step
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step | action | s1 (bottom..top) | s2 (bottom..top) | output so far
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1 | move 1 to s2, push its children on s1 | [2 3] | [1] | []
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2 | move 3 to s2, push its children on s1 | [2 6] | [1 3] | []
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3 | move 6 to s2, push its children on s1 | [2 8 9] | [1 3 6] | []
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4 | move 9 to s2, push its children on s1 | [2 8] | [1 3 6 9] | []
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5 | move 8 to s2, push its children on s1 | [2] | [1 3 6 9 8] | []
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6 | move 2 to s2, push its children on s1 | [4 5] | [1 3 6 9 8 2] | []
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7 | move 5 to s2, push its children on s1 | [4 7] | [1 3 6 9 8 2 5] | []
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8 | move 7 to s2, push its children on s1 | [4] | [1 3 6 9 8 2 5 7] | []
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9 | move 4 to s2, push its children on s1 | [] | [1 3 6 9 8 2 5 7 4] | []
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10 | pop 4 from s2 to output | [] | [1 3 6 9 8 2 5 7] | [4]
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11 | pop 7 from s2 to output | [] | [1 3 6 9 8 2 5] | [4 7]
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12 | pop 5 from s2 to output | [] | [1 3 6 9 8 2] | [4 7 5]
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13 | pop 2 from s2 to output | [] | [1 3 6 9 8] | [4 7 5 2]
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14 | pop 8 from s2 to output | [] | [1 3 6 9] | [4 7 5 2 8]
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15 | pop 9 from s2 to output | [] | [1 3 6] | [4 7 5 2 8 9]
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16 | pop 6 from s2 to output | [] | [1 3] | [4 7 5 2 8 9 6]
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17 | pop 3 from s2 to output | [] | [1] | [4 7 5 2 8 9 6 3]
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18 | pop 1 from s2 to output | [] | [] | [4 7 5 2 8 9 6 3 1]
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