Given an array A of size N, the task is to find the resultant array formed by adding each element of the given array with the largest element in the new array to its left.
Examples:
Input: arr[] = {5, 1, 6, -3, 2}
Output: {5, 6, 12, 9, 14}
Element A0: No element if present at its left. Hence the element at 0th index of the resultant array = 5
Element A1: Largest element to its left in the resultant array = 5. Hence the element at 1th index of the resultant array = 1 + 5 = 6
Element A2: Largest element to its left in the resultant array = 6. Hence the element at 2nd index of the resultant array = 6 + 6 = 12
Element A3: Largest element to its left in the resultant array = 12. Hence the element at 3rd index of the result array = -3 + 12 = 9
Element A4: Largest element to its left in the resultant array = 12. Hence the element at 4th index of the result array = 2 + 12 = 14
Therefore the resultant array = {5, 6, 12, 9, 14}Input: arr[] = {40, 12, 62}
Output: {40, 52, 114}
Approach:
Inorder to find such array, each element of the new array will be computed one by one for each index in the range [0, N-1], according to the following rules:
- For the starting index, i.e. 0, the new array will be empty. Hence there won’t be any largest element. In this case, the element at 0th index in the given array is copied down in the new array, i.e.
B0 = A0 where A is the given array and B is the new array
- For every other index in the range [1, N-1], first the largest element is found out to its left in the new array and then it is added to the corresponding element of the original array, i.e.,
Bi = Ai + max(B0, B1, ..., Bi-1) where A is the given array, B is the new array, and i is the current index
Below is the implementation of the above approach:
C++
// C++ program to find Array formed by adding
// each element of given array with largest
// element in new array to its left
#include <bits/stdc++.h>
using
namespace
std;
// Function to find array B from array
// A such that Ai = Bi – max(B0…Bi-1)
void
find_array(
int
a[],
int
n)
{
// Initialising as 0 as first
// element will remain same
int
x = 0;
for
(
int
i = 0; i < n; i++) {
// restoring values of B
a[i] += x;
cout << a[i] <<
' '
;
// Find max value
x = max(x, a[i]);
}
}
// Driver code
int
main()
{
int
a[] = {40, 12, 62};
int
n =
sizeof
(a) /
sizeof
(a[0]);
// Function call
find_array(a, n);
return
0;
}
chevron_rightfilter_noneJava
// Java program to find Array formed by adding
// each element of given array with largest
// element in new array to its left
public
class
GFG
{
// Function to find array B from array
// A such that Ai = Bi – max(B0…Bi-1)
static
void
find_array(
int
[]a,
int
n)
{
// Initialising as 0 as first
// element will remain same
int
x =
0
;
for
(
int
i =
0
; i < n; i++) {
// restoring values of B
a[i] += x;
System.out.print(a[i] +
" "
);
// Find max value
x = Math.max(x, a[i]);
}
}
// Driver code
public
static
void
main(String []args)
{
int
[]a = {
40
,
12
,
62
};
int
n = a.length ;
// Function call
find_array(a, n);
}
}
// This code is contributed by Yash_R
chevron_rightfilter_nonePython3
# Python3 program to find Array formed by adding
# each element of given array with largest
# element in new array to its left
# Function to find array B from array
# A such that Ai = Bi – max(B0…Bi-1)
def
find_array(a, n) :
# Initialising as 0 as first
# element will remain same
x
=
0
;
for
i
in
range
(n) :
# restoring values of B
a[i]
+
=
x;
print
(a[i],end
=
' '
);
# Find max value
x
=
max
(x, a[i]);
# Driver code
if
__name__
=
=
"__main__"
:
a
=
[
40
,
12
,
62
];
n
=
len
(a);
# Function call
find_array(a, n);
# This code is contributed by Yash_R
chevron_rightfilter_noneC#
// C# program to find Array formed by adding
// each element of given array with largest
// element in new array to its left
using
System;
class
gfg
{
// Function to find array B from array
// A such that Ai = Bi – max(B0…Bi-1)
static
void
find_array(
int
[]a,
int
n)
{
// Initialising as 0 as first
// element will remain same
int
x = 0;
for
(
int
i = 0; i < n; i++) {
// restoring values of B
a[i] += x;
Console.Write(a[i] +
" "
);
// Find max value
x = Math.Max(x, a[i]);
}
}
// Driver code
public
static
void
Main(
string
[]args)
{
int
[]a = {40, 12, 62};
int
n = a.Length ;
// Function call
find_array(a, n);
}
}
// This code is contributed by Yash_R
chevron_rightfilter_noneOutput:40 52 114
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.