Transforming Pairs
의견: 0
Answer \(Q\) (\(1\le Q\le 10^5\)) independent queries each of the following form:
You are given four integers \(a,b,c,d\) (\(-10^{18}\le a,b,c,d\le 10^{18}\)). In one
operation you can either do \(a\mathrel{+}=b\), or \(b\mathrel{+}=a\). Determine
the minimum number of operations to transform \((a,b)\) into \((c,d)\), or if it is
impossible to do so, output \(-1\).
Problem credits: Benjamin Qi
SCORING
- Input 2: \(|a|, |b|, |c|,|d|\le 10\)
- Input 3: \(a,b\ge 0\)
- Input 4: \(a \geq 0 \geq b\)
- Input 5: \(a \leq 0 \leq b\)
- Input 6: \(a,b\le 0\)
- Input 7: \(c,d\ge 0\)
- Input 8: \(c \geq 0 \geq d\)
- Input 9: \(c \leq 0 \leq d\)
- Input 10: \(c,d\le 0\)
- Inputs 11-14: \(Q \leq 10^3\)
- Inputs 15-19: No additional constraints.
Problem credits: Benjamin Qi
The first line contains \(Q\).
The next \(Q\) lines each contain four integers \(a,b,c,d\).
The answer for each query on a separate line.
4
5 -3 -1 -3
5 3 5 2
5 3 8 19
5 3 5 32
-1
3
0First query: \((5,-3)\to (2,-3)\to (-1,-3)\)
Second query: Impossible.
Third query: \((5,3) \to (8, 3) \to (8, 11) \to (8, 19)\)
Fourth query: No operations necessary.
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Transforming Pairs
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Transforming Pairs