[4%] You are given a Bloom filter with the three hash functions as follows, where modf(⋅) returns the fractional part of a floating point number.
f1(x)=floor(modf(x∗0.31)∗16)
f2(x)=floor(modf(x∗0.24)∗16)
f3(x)=floor(modf(x∗0.13)∗16)
| Index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
|---|
| Value | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 |
Which of the followings is (are) true?