Basics of Sound

Problem Statement

Read the following explanation and answer subquestions (1) through (7) below.

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$\mathrm{Hz}$Hz is the SI unit typically used to measure sound $\fbox{A}$A​.

$\mathrm{Hz}$Hz is a unit representing the $\fbox{C}$C​ of a wave that repeats $1\ \fbox{B}$1 B​ times; the larger this value, the more $\fbox{D}$D​ it becomes, and the smaller it is, the more $\fbox{E}$E​ it becomes.

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(1) Select the number that corresponds to $\fbox{A}$A​ from the options below.

1: Magnitude

2: Height

3: Resonance

4: Muddiness

(2) Select the unit that corresponds to $\fbox{B}$B​ from the options below by number.

1: $\mathrm{m}$m (meter)

2: $\mathrm{kg}$kg (kilogram)

3: $\mathrm{L}$L (liter)

4: $\mathrm{s}$s (seconds)

5: $\mathrm{h}$h (hours)

6: $\mathrm{J}$J (joules)

7: $\mathrm{mol}$mol (moles)

8: $\mathrm{N}$N (newtons)

9: $\mathrm{Pa}$Pa (pascals)

(3) Select the number below that corresponds to $\fbox{C}$C​.

1: Magnitude

2: Frequency

3: Constant

4: Place of origin

(4) Select the number that best fits $\fbox{D}$D​ from the options below.

1: Loud sound

2: Soft sound

3: High-pitched sound

4: Low-pitched sound

5: Resonant sound

6: Sound with no resonance

7: A muffled sound

8: A clear sound

(5) Select the number below that best describes $\fbox{E}$E​.

1: A loud sound

2: A soft sound

3: A high-pitched sound

4: A low-pitched sound

5: A resonant sound

6: A sound that does not resonate at all

7: A muffled sound

8: A sound that carries well

(6) Select the number below that corresponds to the standard pronunciation of $\mathrm{Hz}$Hz.

1: Hezu

2: Hesu

3: Heru

4: Hetsu

5: Hertz

6: Perzu

7: Waltz

8: Keltz

9: Kelp

(7) Select the correct definition of $\mathrm{Hz}$Hz from the options below by number.

1: $\mathrm{s}^2$s2

2: $\dfrac{1}{\mathrm{s}}$s1​

3: $\dfrac{1}{\mathrm{s}^2}$s21​

4: $\mathrm{J}^2/\mathrm{s}$J2/s

5: $\dfrac{\mathrm{dB}}{\mathrm{s}}$sdB​

6: $\dfrac{2\times\mathrm{dB}}{\mathrm{s}^2}$s22×dB​

7: $\dfrac{\mathrm{N}\times\mathrm{s}}{\mathrm{A}}$AN×s​

8: $\mathrm{W}\times\mathrm{V}\times\mathrm{s}^2$W×V×s2

9: $\mathrm{N}/\mathrm{s}$N/s

Constraints

• Let $A_n$An​ be the number selected as the answer to subquestion $n$n (where $n = 1, 2, \dots, 7$n=1,2,…,7).

• Each $A_n$An​ corresponds to the number of the specified choice (a natural number from 1 to 9).

Input Format

Output a 7-digit natural number representing the answer, consisting of the answer numbers for subproblems 1 through 7 in order. As a mathematical expression, enter the natural number $X$X obtained from the following calculation:

$$X = \sum_{n=1}^{7} 10^{7-n} \times A_n$$X=n=1∑7​107−n×An​