Signed Sum Of Reciprocals

Logic Level 2

1 □ 12 □ 13 □ 14 □ 15 □ ⋯□ 131=132 \large 1 \, \square \, \dfrac12 \, \square \, \dfrac13 \, \square \, \dfrac14 \, \square \,\dfrac15 \, \square \, \cdots \square \, \dfrac1{31} =\dfrac1{32}

There are 230 2^{30} ways in which we can fill the squares with the mathematical operators + + and −-.

How many ways would make the equation true?

Pi Han Goh by Pi Han Goh
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