A palindromic alphabet pyramid prints each row as letters climbing from A to a peak, then descending back to A — so every full row reads the same forward and backward.
Remember
Rule: print A..peak, then (peak-1)..A (center once)
A
ABA
ABCBA
ABCDCBA
ABCDEDCBA ← 5 rows
Unlike Program 1 (only the left half), the mirror starts at peak - 1 so the middle letter is not doubled. Row length is always odd: 2r - 1.
Approach
How to Solve It
For each row, pick a peak letter, print up to it, then mirror back without reprinting the peak.
Method
Idea
Best for
Up then down
Two loops: A..peak then (peak-1)..A
Learning, interviews, left-aligned demos
Centered
Same letters plus leading spaces
Pyramid layout under the widest row
Pseudocode
Pseudocode
for r from 0 to n - 1:
peak = 'A' + r
for ch from 'A' to peak:
print ch
for ch from peak - 1 down to 'A':
print ch
print newline
Cheat sheet
Goal
Pattern
Pick the peak
char peak = (char)('A' + r);
Ascending half
for (char ch = 'A'; ch <= peak; ch++) Console.Write(ch);
for (int s = 0; s < n - r - 1; s++) Console.Write(" ");
End the row
Console.WriteLine();
A–Z-safe height
Clamp n to 1–26
Write vs WriteLine
API
Effect
Use for
Console.Write
Stays on the same line
Each letter (and optional pad spaces)
Console.WriteLine
Ends the current line
After both up and down halves
Try it
Live Preview
Change the row count and the palindrome pyramid updates instantly — including peak letter and letter totals.
Whole numbers from 1 to 10. Row r (0-based) peaks at A + r; total letters equal n².
Live result5 rows · peak E · 25 letters
A
ABA
ABCBA
ABCDCBA
ABCDEDCBA
Trace
Worked Walkthrough — n = 4
Trace each peak, the ascending half, the descending half, and the full palindrome.
Row r
Peak
Up
Down
Printed row
0
A
A
(none)
A
1
B
AB
A
ABA
2
C
ABC
BA
ABCBA
3
D
ABCD
CBA
ABCDCBA
Lengths: 1 + 3 + 5 + 7 = 16 = 4². Starting the down loop at the peak would wrongly print ABCCBA on row 2.
Code
C# Programs
Three complete programs: fixed A–E with a char array, row-count input, and a centered layout. Use View Output to reveal sample results.
Example 1 — Fixed A–E (Char Array)
Print the forward part A..i, then print back from i-1..A.
C#
using System;
class Program
{
static void Main()
{
char[] alpha = "ABCDEFGHIJKLMNOPQRSTUVWXYZ".ToCharArray();
for (int i = 0; i <= 4; i++)
{
for (int j = 0; j <= i; j++)
Console.Write(alpha[j]);
for (int k = i - 1; k >= 0; k--)
Console.Write(alpha[k]);
Console.WriteLine();
}
}
}
Output
A
ABA
ABCBA
ABCDCBA
ABCDEDCBA
How It Works
1. Outer loop grows the peak index.i runs 0..4 so peaks are A through E.
2. Forward half. Print alpha[0] through alpha[i] — the ascending side including the center.
3. Mirror without the peak. Reverse from i - 1 down to 0. Starting at i would wrongly print ABCCBA when i = 2.
Example 2 — Row Count Input
Uses characters directly (no array) and computes the peak letter for each row. Prefer int.TryParse in real apps.
C#
using System;
class Program
{
static void Main()
{
Console.Write("Enter number of rows (like 5): ");
int n = int.Parse(Console.ReadLine());
for (int r = 0; r < n; r++)
{
char peak = (char)('A' + r);
for (char ch = 'A'; ch <= peak; ch++)
Console.Write(ch);
for (char ch = (char)(peak - 1); ch >= 'A'; ch--)
Console.Write(ch);
Console.WriteLine();
}
}
}
Output (when user enters 4)
Enter number of rows (like 5): 4
A
ABA
ABCBA
ABCDCBA
How It Works
1. Map row → peak. Row r peaks at (char)('A' + r).
2. Same up/down core. Ascend to the peak, then descend from peak - 1 — identical logic to Example 1.
3. Safer input tip. Prefer TryParse and stay within A–Z:
Safer input
if (!int.TryParse(Console.ReadLine(), out int n) || n < 1 || n > 26)
{
Console.WriteLine("Enter a row count from 1 to 26.");
return;
}
Example 3 — Centered Palindrome Pyramid
Add leading spaces so shorter rows sit under the widest row (same idea as Program 16).
C#
using System;
class Program
{
static void Main()
{
int n = 5;
for (int r = 0; r < n; r++)
{
char peak = (char)('A' + r);
for (int s = 0; s < n - r - 1; s++)
Console.Write(" ");
for (char ch = 'A'; ch <= peak; ch++)
Console.Write(ch);
for (char ch = (char)(peak - 1); ch >= 'A'; ch--)
Console.Write(ch);
Console.WriteLine();
}
}
}
Output
A
ABA
ABCBA
ABCDCBA
ABCDEDCBA
How It Works
1. Pad first. Print n - r - 1 spaces so shorter palindromes sit under the widest row.
2. Same letter logic. Up to peak, then down from peak - 1 — unchanged from Examples 1 and 2.
3. Alignment only. Centering is layout; the palindrome rule does not change.
Edge Cases & Pitfalls
Check these before calling the solution done.
Down from peak
Doubled center
Starting the reverse loop at the peak prints ABCCBA instead of ABCBA. Always start at peak - 1.
Only up
Not a palindrome
Skipping the descending half gives Program 1 style rows (A, AB, ABC…) — not this pattern.
WriteLine early
Broken row
Call WriteLine only after both halves. Inside either loop, each letter lands on its own line.
n = 1
Single A
Output is just A; the mirror loop does not run — a good sanity check.
Past Z
Clamp to 26
More than 26 rows walks the peak past Z. Cap or reject the input.
Bad parse
int.Parse crash
Prefer int.TryParse so empty or non-numeric input does not throw.
Analysis
Time and Space Complexity
Program
Time
Extra space
Up/down / centered forms
O(n²)
O(1)
Row r (1-based) prints 2r - 1 letters. Over n rows the total is 1 + 3 + … + (2n - 1) = n².
Remember
Key Takeaways
Two halves: climb A..peak, then descend (peak-1)..A.
Center once: never start the reverse loop at the peak itself.
Odd lengths: each row has 2r - 1 letters; totals sum to n².
Complexity:O(n²) time; O(1) extra space.
One line: for each peak, print A..peak then (peak-1)..A so the row is a palindrome.
Frequently Asked Questions
The peak letter was already printed by the first loop. Starting the mirror at peak-1 avoids printing the center letter twice.
Print A..peak, then print (peak-1)..A so the center letter is not duplicated.
Row r prints 2r-1 letters. Over n rows the total is 1+3+...+(2n-1)=n².
Yes. Print each letter followed by a space in both halves, and update the sample output accordingly.
Console.Write stays on the same line for each letter. Console.WriteLine ends the row after both halves finish.
Program 1 prints only the left half (A, AB, ABC…). This pattern mirrors back down so each full row is a palindrome.
O(n²) for n rows because each row prints O(n) characters and the sum of odd lengths is n².
Prefer int.TryParse, require n ≥ 1, and cap at 26 so peaks stay within A–Z.
🤔
Did you know?
Each row prints A up to the row peak, then prints back down starting from peak - 1 so the middle letter appears only once. Row length is 2r - 1 for row r, so the total characters over n rows is n².
