Descending Repeating Number Triangle in C++

Beginner
⏱️ 8 min read
📚 Updated: Aug 2026
🎯 3 Code Examples
🚀 Live Preview
Nested Loops

What You’ll Learn

The descending repeating number triangle flips Program 9’s outer loop: digit decreases each row while repeats increase — nested loops, cout vs newline, and a clear visual result. This tutorial covers the shape rule, loop structure, a live preview, algorithm steps, worked C++ examples, edge cases, and complexity.

Shape Rule

digit i repeats rows-i+1 times

Row rows prints one rows, then digit rows-1 twice, and so on until 1 repeats rows times.

Outer Loop

Rows

for (i = rows; i >= 1; i--) picks the digit for each row, starting at rows and counting down to 1.

Inner Loop

Digits

for (j = rows; j >= i; j--) prints digit i exactly rows - i + 1 times on that row.

cout vs newline

Same line / next line

Repeated digits use cout << i; end each row with cout << "\n".

Live Preview

1–20 rows

Pick a row count and draw the descending repeating number triangle instantly in the browser.

O(n²)

Complexity

Total digit prints still = n(n+1)/2; extra memory stays O(1).

Introduction

A descending repeating number triangle pattern starts with one copy of the top digit and adds one more repeat each line as the digit decreases. Each row prints the same digit multiple times; the repeat count grows while the digit value shrinks.

In C++ you usually solve it with two nested for loops: the outer loop picks the digit, the inner loop repeats it with cout << i, then cout << "\n" moves to the next line.

Why it matters?

It is a natural follow-up to Program 9 in C++ courses. Once nested loops and cout click, pyramids, diamonds, and hollow shapes become much easier.

Key Highlights

Row = Repeat Count

On row i, print digit i exactly rows - i + 1 times.

Two Nested Loops

Outer picks the digit; inner controls how many times it repeats.

Print Then Break

cout << i in the inner loop; cout << "\n" after.

Series Foundation

Gateway to Program 9 (ascending repeats) and Program 11 (inverted repeats).

In short: for each row i from rows down to 1, repeat cout << i exactly rows - i + 1 times, then call cout << "\n".

📝 Problem & Approach

Given a positive integer rows, print a descending repeating number triangle: row i repeats digit i exactly rows - i + 1 times, with the outer loop counting from rows down to 1.

C++
// First 5 rows (conceptual shape)
// 5
// 44
// 333
// 2222
// 11111

Inputs & Outputs

ItemTypeDescription
rowsintNumber of triangle lines to print (typically ≥ 1).
Printed outputtextEach row repeats one digit; the top row has one copy of rows, the bottom row repeats 1 for rows copies.

Minimal workflow

Pseudocode
for i from rows down to 1:
    repeat (rows - i + 1) times:
        print i (no newline)
    print newline

Approach comparison

ApproachIdeaBest for
Nested loopsOuter digit + inner repeatsLearning and interviews
string(rows - i + 1, char('0' + i))Build the full repeated row in one callCompact C++ style once loops are understood

⚡ Quick Reference

GoalPattern
Walk each rowfor (i = rows; i >= 1; i--)
Repeat digit ifor (j = rows; j >= i; j--) cout << i;
End the rowcout << "\n";
One-line row shortcutstring(rows - i + 1, char('0' + i)) repeated per row
Ascending variantfor (j = 1; j <= i; j++) cout << i (Program 9 ascending repeats)

📋 cout vs newline vs string shortcut

Same triangle — different ways to emit characters.

cout << i
same line

Prints a digit without moving to the next line

cout << "\n"
new line

Ends the current row after all digits are printed

string row
whole row

Builds digit i repeated rows - i + 1 times in one string

Learning tip
loops first

Master nested loops before the string shortcut

Context

When This Pattern Shows Up

Reach for this triangle when teaching or testing nested-loop basics.

  1. First lab exercise

    Most C++ pattern series start here before pyramids and diamonds.

  2. Nested-loop warm-up

    Outer/inner bound practice with an immediate visual check.

  3. Stream I/O practice

    Combine loops with cin for a flexible row count.

  4. Gateway to variants

    Compare Program 9 (ascending repeats) and Program 11 (inverted repeats) next.

  5. Not a UI layout tool

    This is a console teaching pattern — not how you build modern app screens.

Key benefit: one small program that locks in nested loops, output sequencing, and O(n²) thinking.

🔮 Live Preview

Choose a row count between 1 and 20 and draw the descending repeating number triangle in the browser.

Try 5, 7, or 10. Larger values still work up to 20.

Live result
Press "Draw pattern".

Examples Gallery

Three complete C++ programs — fixed row count, cin input, and a string row shortcut. Click View Output to reveal sample console results.

📚 Getting Started

Print five rows of the descending repeating number triangle with nested loops.

Example 1 — Fixed rows = 5

Hard-coded height — outer picks digit, inner controls repeat count.

C++
#include <iostream>
using namespace std;

int main() {
    int rows = 5;
    int i, j;

    for (i = rows; i >= 1; --i) {
        for (j = rows; j >= i; --j) {
            cout << i;
        }
        cout << "\n";
    }

    return 0;
}

How It Works

When i = 5, the inner loop runs once and prints 5. When i = 4, it prints 44, and so on until i = 1 prints 11111. cout << "\n" after the inner loop starts the next row.

📈 Practical Variant

Let the user choose the height at runtime.

Example 2 — User Input Version

Read the row count with cin >> rows (check cin.fail() in real apps).

C++
#include <iostream>
using namespace std;

int main() {
    int rows;
    int i, j;

    cout << "Enter the number of rows: ";
    cin >> rows;

    for (i = rows; i >= 1; --i) {
        for (j = rows; j >= i; --j) {
            cout << i;
        }
        cout << "\n";
    }

    return 0;
}

How It Works

Same nested-loop core as Example 1; only the source of rows changes. Non-numeric input sets cin’s fail bit if you ignore errors — always validate in safer labs.

⚡ Shortcut Style

Same shape using a string constructor instead of an inner digit loop.

Example 3 — string(rows - i + 1, char('0' + i))

Build each row with string(rows - i + 1, char('0' + i)), then print with cout.

C++
#include <iostream>
#include <string>
using namespace std;

int main() {
    int rows = 5;

    for (int i = rows; i >= 1; --i) {
        cout << string(rows - i + 1, char('0' + i)) << "\n";
    }

    return 0;
}

How It Works

string(rows - i + 1, char('0' + i)) creates a row of repeated digit i when i is 1..9. Same shape as Example 1 without an inner digit loop — a handy C++ shortcut once the bounds make sense.

🧠 How the Algorithm Prints Rows

1

Set up

#include <iostream> brings in cout / cin. Set rows (fixed or from input).

Setup
2

Outer loop (rows)

for (i = rows; i >= 1; i--) picks the digit for the current row (5, 4, 3, …).

Row
3

Inner loop (repeats)

for (j = rows; j >= i; j--) repeats digit i with cout << i.

Repeats
4

New line

cout << "\n" ends the row so the next outer iteration starts fresh.

Break
=

Triangle complete

Total digit prints: 1+2+…+n = n(n+1)/2O(n²) time, O(1) extra memory.

🔎 Worked Walkthrough — rows = 4

Trace each outer-loop value of i and count how many times the inner loop prints digit i.

iInner j rangeRepeatsPrinted row
44..414
34..3233
24..23222
14..141111

Total digit prints: 1 + 2 + 3 + 4 = 10 = 4×5/2.

Use Cases

Where this tiny pattern (and its loop structure) shows up beyond the homework prompt.

1. Teaching Nested Loops

Clearest visual proof that outer and inner bounds interact.

Example: change j <= i and watch the shape change.

2. Pattern Series Base

Foundation for inverted, pyramid, diamond, and hollow variants.

Example: Program 9 repeats digit i exactly i times with an ascending outer loop.

3. Stream Formatting Drills

Practice cout vs row newline without complex math.

Example: put cout << "\n" inside the inner loop by mistake.

4. Character Substitution

Swap digits for letters, stars, or spaced output once the loop works.

Example: print i + " " for spaced repeated digits on each row.

5. Complexity Intuition

Triangular totals make O(n²) concrete for beginners.

Example: count printed digits for n = 10 still → 55.

6. Input Validation Labs

Pair the pattern with cin return checks and positive-row validation.

Example: reject rows <= 0 and re-prompt.

Pro Tip: when an interviewer asks for patterns, explain the outer/inner roles first — then write the loops. The story matters as much as the code.

Advantages

Why this pattern earns a permanent spot in beginner C courses.

  1. 1. Instant Visual Feedback

    Wrong bounds show up immediately as a broken staircase.

  2. 2. Minimal Concepts

    Only loops and console output — no arrays or math libraries.

  3. 3. Easy to Extend

    Invert, center, hollow, or change the fill character with small edits.

  4. 4. O(1) Extra Memory

    Streaming output needs no storage beyond loop counters.

Pro Tip: learn the nested-loop version first; treat string(rows - i + 1, char('0' + i)) as a polish shortcut afterward.

Usage Tips

Small habits that keep number-pattern code clean.

  1. 1. Name Bounds Clearly

    Use rows (or n) and keep i/j for row/column — or rename to row/col.

  2. 2. Check cin Return Value

    Avoid using uninitialized rows when the user types letters instead of a number.

  3. 3. Keep cout << "\n" Outside

    Only call cout << "\n" after the inner loop finishes the row.

  4. 4. Match Inner Bound to Repeat Count

    for (j = rows; j >= i; j--) with cout << i makes repeat count grow as the digit shrinks.

  5. 5. Dry-Run One Small n

    Trace rows = 3 on paper before coding larger demos.

Pro Tip: if the output is a vertical list of single digits per line, you almost certainly put cout << "\n" inside the inner loop.

Common Pitfalls

Mistakes that commonly break descending repeating number patterns.

  1. 1. cout << "\n" Inside the Inner Loop

    Each repeated digit lands on its own line — you get a column, not a triangle.

    → Use cout << i for repeats; cout << "\n" only after the inner loop.

  2. 2. Wrong Inner Bound

    j <= rows prints a rectangle; wrong outer bounds flatten or invert the shape.

    → For this shape, keep j <= i.

  3. 3. Forgetting the Row Break

    Omitting cout << "\n" glues every repeat onto one endless line.

    → Always end the row after the inner loop.

  4. 4. Unchecked cin

    Letters or empty input leave rows unset if you ignore cin errors.

    → Check cin.fail() after cin >> rows and re-prompt on failure.

  5. 5. Off-by-One on 0-Based Loops

    Switching to i = 0 without adjusting the inner bound prints an empty first row or wrong counts.

    → If 0-based, print i with wrong inner bound (e.g. j <= i + 1).

Edge Cases

Check these inputs before calling the solution done.

rows = 1

Single repeated digit

Output is just one copy of rows on one line.

rows = 0

Empty pattern

Outer loop never runs — print nothing or show a message.

Negative

rows < 0

Treat as invalid; re-prompt instead of silent empty output.

Large n

Many rows

Output grows as n²/2 characters — fine for labs, noisy for huge n.

Bad input

Non-numeric cin input

Unchecked cin leaves rows unset — check cin.fail().

Fill char

Wrong repeat count

Check inner bound: j >= i gives rows - i + 1 repeats.

🎯 Practice Problems

Try these variations to lock in the pattern.

1. Ascending repeating triangle

  • Outer loop counts up 1..rows (see Program 9)
  • Continue with Program 11

2. Inverted repeating triangle

  • Use for (i = rows; i >= 1; i--) as outer loop
  • Shows the loop structure is reusable

3. Safe input loop

  • Use cin until rows >= 1
  • Then draw the triangle

4. Same digit, different count

  • Use cout << i << " " between repeated digits
  • Harder follow-up after this page

Notes

  • Triangular count. Total digit prints for n rows is n(n+1)/2 — hence O(n²) time.
  • cout << i stays on the line; cout << "\n" advances — use both deliberately.
  • Validate rows > 0 for interactive programs; rows = 1 should print one copy of the top digit.
  • This page is left-aligned. Centered pyramids need leading spaces — covered later in the series.

Quick Takeaway: outer loop picks the row, inner loop repeats digit i, then break the line — that is the whole pattern.

⏱️ Time and Space Complexity

ProgramTimeExtra space
Nested loops (Examples 1–2)O(rows²)O(1)
string(rows - i + 1, char('0' + i)) in a counted loop (Example 3)O(rows²)O(rows) per row string (temporary)
Wrap Up

🎉 Conclusion

The descending repeating number triangle pattern is a small nested-loop exercise with lasting payoff: row/column thinking, cout vs row newline, and O(n²) intuition. Master the classic two-loop version, then optionally shorten rows with string(rows - i + 1, char('0' + i)) in a counted loop.

Practice the three examples above, then continue to Program 11 for the inverted repeating triangle.

Row i repeats digit i — keep cout << i for each copy and cout << "\n" for the break, and validate row counts when reading input.

💡 Best Practices

✅ Do

  • Explain outer picks digit, inner counts repeats before coding
  • Use cout << i for repeats and cout << "\n" after each row
  • Validate rows ≥ 1 for interactive programs
  • Check cin.fail() before using rows
  • State O(n²) time when asked about complexity

❌ Don’t

  • Call cout << "\n" inside the inner repeat loop
  • Use j <= i when you meant Program 9 instead
  • Skip the newline after each row
  • Ignore bad console input in user-facing demos
  • Skip the rows = 1 edge case

Key Takeaways

Knowledge Unlocked

Five things to remember about this repeating pattern

Print the triangle the beginner-friendly way.

5
Core concepts
02

Outer loop

Picks the digit each row

Code
1 03

Inner loop

Repeats digit with cout << i

Code
04

cout << "\n"

Ends each row

I/O
O 05

Complexity

O(n²) time

Analysis

❓ Frequently Asked Questions

The outer loop decreases i from rows down to 1. The inner loop runs j from rows down to i, so it executes once when i equals rows, twice when i is rows-1, and so on until rows times for i = 1.
for (j = rows; j >= i; j--) runs (rows - i + 1) times. That count grows as i shrinks, which is why 4 prints twice, 3 prints three times, and 1 prints rows times.
cout << i stays on the same line. cout << "\n" ends the current line. Repeated digits use cout << i; the row break uses cout << "\n" after the inner loop.
Program 9 grows upward: row i repeats digit i exactly i times (1, 22, 333). Program 10 starts with one copy of the top digit and increases repeats as the digit decreases (5, 44, 333, 2222, 11111).
O(n²) where n is the number of rows. Total cout digit outputs equal 1+2+…+n = n(n+1)/2.
Yes. cout << string(rows - i + 1, char('0' + i)) << "\n" prints a full row in one call. Nested loops are better for learning; the string constructor is a handy shortcut later.
After cin >> rows, check cin.fail() or use if (!(cin >> rows)) to handle bad input. Unchecked cin leaves rows unset on failure.
The outer loop never runs, so nothing is printed. Validate and prompt again if you want a clear user message.

Did you Know? 🔊

Row digit i repeats rows - i + 1 times. The outer loop counts down from rows, so the first row shows one copy of the top digit and the last row repeats 1 for rows times — still O(n²) total prints.

Continue to Program 11

Same digits, but the widest row is first — 55555, 4444, 333, 22, 1.

Program 11 tutorial →

About the author

Mari Selvan M P
Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

  • Experience 12 years building web and cloud systems
  • Focus Full Stack Development, AWS, and Developer Education

I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

12 people found this page helpful