Exercise 2. (Pascal's Triangle) Pascal's triangle Pn is a triangular array with n+1l rows, each listing the coefficients of the binomial expansion (x+ y)', where 0 sisn. For example, P4 is the triangular array: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 The term Pn(i, j) is calculated as Pn(i – 1, j – 1) +Pn(i – 1, j), where 0

C++ for Engineers and Scientists
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Chapter7: Arrays
Section7.3: Declaring And Processing Two-dimensional Arrays
Problem 7E: (Electrical eng.) a. An engineer has constructed a two-dimensional array of real numbers with three...
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Exercise 2. (Pascal's Triangle) Pascal's triangle Pn is a triangular array with n+1 rows, each listing the coefficients of the
binomial expansion (x+ y)', where 0 <i< n. For example, P4 is the triangular array:
1
1
1.
1 2 1
1 3 3 1
1 4 6 4 1
The term Pn(i, j) is calculated as Pn(i – 1,j – 1) + Pn(i – 1,j), where 0 <i<n and 1<j< i, with Pn(i,0) = Pn(i, i) = 1
for all i. Write a program called pascal.py that accepts n (int) as command-line argument, and writes P, to standard output.
1/ 6
Project 3 (Mozart Waltz Generator)
>_ "/workspace/project3
рython3 pавса1.ру 10
1
1 1
1 2 1
1 33 1
1 4 6 4 1
1 5 10 10 5 1
16 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
В равса1.ру
import stdarray
import stdio
іпрort вys
# Accept n (int) as command -line argument.
...
# Setup a 2D ragged list a of integers. The list must have n + 1 rovs, vith the ith (0 <= i
# <= n) row a[i] having i + 1 elements , each initialized to 1. For example, if n = 3, a should be
# initialized to [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1]].
a =...
for i in range (...):
...
# Fill the ragged list a using the formula for Pascal's triangle
1] [j - 1) + a[i - 1] [j]
a [i][j] = a[i - 1] [j - 1] + a[i - 1] [j]
#3
# vhere o <- i <- n and 1 <= j < i.
for i in range (...):
for j in range (...):
...
# Write a to standard output.
for i in range (...):
for j in range (...):
if ...:
# If j is not the last column, vrite a [i] [j] vith a space after.
else:
# Otherwise, vrite the element vith a newline after.
...
Transcribed Image Text:Exercise 2. (Pascal's Triangle) Pascal's triangle Pn is a triangular array with n+1 rows, each listing the coefficients of the binomial expansion (x+ y)', where 0 <i< n. For example, P4 is the triangular array: 1 1 1. 1 2 1 1 3 3 1 1 4 6 4 1 The term Pn(i, j) is calculated as Pn(i – 1,j – 1) + Pn(i – 1,j), where 0 <i<n and 1<j< i, with Pn(i,0) = Pn(i, i) = 1 for all i. Write a program called pascal.py that accepts n (int) as command-line argument, and writes P, to standard output. 1/ 6 Project 3 (Mozart Waltz Generator) >_ "/workspace/project3 рython3 pавса1.ру 10 1 1 1 1 2 1 1 33 1 1 4 6 4 1 1 5 10 10 5 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1 В равса1.ру import stdarray import stdio іпрort вys # Accept n (int) as command -line argument. ... # Setup a 2D ragged list a of integers. The list must have n + 1 rovs, vith the ith (0 <= i # <= n) row a[i] having i + 1 elements , each initialized to 1. For example, if n = 3, a should be # initialized to [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1]]. a =... for i in range (...): ... # Fill the ragged list a using the formula for Pascal's triangle 1] [j - 1) + a[i - 1] [j] a [i][j] = a[i - 1] [j - 1] + a[i - 1] [j] #3 # vhere o <- i <- n and 1 <= j < i. for i in range (...): for j in range (...): ... # Write a to standard output. for i in range (...): for j in range (...): if ...: # If j is not the last column, vrite a [i] [j] vith a space after. else: # Otherwise, vrite the element vith a newline after. ...
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