Shape Rule
Right-aligned triangle
Row i prints rows down to i, with indentation spaces before the numbers.

The right-aligned decreasing triangle prints 5, then 5 4, then 5 4 3, … — a natural follow-up after Program 35’s continuous counter triangle. This tutorial covers indentation loops, decreasing sequences, fixed-width formatting, nested loops, a live preview, worked C examples, edge cases, and complexity.
Right-aligned triangle
Row i prints rows down to i, with indentation spaces before the numbers.
i = rows..1
for (i = rows; i >= 1; i--) — descending outer loop, one row per iteration.
1..i-1
for (j = 1; j < i; j++) — prints " " for right alignment.
%2d format
for (j = rows; j >= i; j--) then printf("%2d", j).
3–7 rows
Pick a row count and draw the right-aligned decreasing triangle in the browser.
Complexity
Total prints = n(n+1)/2 — work scales as n².
A right-aligned decreasing number triangle prints a sequence that starts at rows on every row and counts down to i: 5, then 5 4, then 5 4 3, and so on. With rows = 5, shorter rows shift right thanks to an indentation loop.
In C you use three nested loops: print " " while j < i, then print printf("%2d", j) for j = rows..i, then printf("\n").
It combines two inner loops — one for spaces, one for numbers — a step after Program 35’s continuous counter pattern.
Decreasing sequence.
j < i spaces.
Fixed-width columns.
Follow Program 35; continue to Program 37 next.
In short: outer i = rows..1, indent j = 1..i-1 with " ", numbers j = rows..i with %2d, then printf("\n").
Given rows = 5, print a right-aligned decreasing triangle: indentation spaces while j < i, then numbers from rows down to i with fixed-width formatting.
// rows = 5
// 5
// 5 4
// 5 4 3
// 5 4 3 2
//5 4 3 2 1 | Item | Type | Description |
|---|---|---|
rows | int | Triangle height and starting number for each row. |
i | int | Outer loop — current row limit (rows down to 1). |
j | int | Indent loop (1..i-1) or number loop (rows..i). |
for i from rows down to 1:
for j from 1 to i-1: print 2 spaces
for j from rows down to i: print j in width 2
print newline | Approach | Idea | Best for |
|---|---|---|
| Fixed rows | 5, 5 4, … | Learning and interviews |
| User-input rows | scanf("%d", &rows); | Configurable triangle size |
| Compact trace | rows = 3 on paper first | Debugging loop bounds |
| Goal | Pattern |
|---|---|
| Outer loop | for (i = rows; i >= 1; i--) |
| Indent loop | for (j = 1; j < i; j++) printf(" "); |
| Number loop | for (j = rows; j >= i; j--) |
| Print number | printf("%2d", j); |
| End the row | printf("\n"); |
| User input | scanf("%d", &rows) |
Same right-aligned decreasing triangle — different ways to control the row count.
i = rows..1Descending row limit
j < iTwo spaces per step
j = rows..iDecreasing sequence
%2dFixed-width columns
Reach for this pattern when teaching dual inner loops, decreasing sequences, and right-aligned console output.
Natural follow-up — replaces the continuous counter with a per-row decreasing sequence and a separate indent loop.
Practice separating space printing from number printing before tackling more complex shapes.
Combine loops with scanf and return-value checks for flexible row counts.
Compare Program 35 (incremental counter) and Program 37 (next in series) next.
This is a console teaching pattern — not how you build modern app screens.
Key benefit: one small program that locks in dual inner loops, formatted output, and O(n²) thinking.
Choose a row count between 3 and 7 and draw the right-aligned decreasing triangle in the browser.
Three complete C programs — fixed rows, user input, and a smaller trace demo. Click View Output to reveal sample console results.
Print five rows of the right-aligned decreasing triangle with indent and number loops.
rows = 5Hard-coded row count — ideal for first demos and screenshots.
#include <stdio.h>
int main() {
int rows = 5;
int i, j;
for (i = rows; i >= 1; --i) {
for (j = 1; j < i; ++j)
printf(" ");
for (j = rows; j >= i; --j)
printf("%2d", j);
printf("\n");
}
return 0;
} When i = 5, the indent loop prints four space pairs, then 5. When i = 1, no indentation — output 5 4 3 2 1 with fixed-width columns.
Read the row count with scanf instead of hard-coding 5.
Read rows with scanf("%d", &rows) and validate the return value.
#include <stdio.h>
int main() {
int rows;
int i, j;
printf("Enter rows: ");
if (scanf("%d", &rows) != 1 || rows < 1) return 0;
for (i = rows; i >= 1; --i) {
for (j = 1; j < i; ++j)
printf(" ");
for (j = rows; j >= i; --j)
printf("%2d", j);
printf("\n");
}
return 0;
} Same dual inner-loop core as Example 1; only rows comes from user input instead of being hard-coded as 5. Non-numeric input leaves rows unset if you ignore scanf’s return value — always check it in safer labs.
Run with rows = 3 to trace every row on paper before scaling up.
rows = 3Same indent and number loops with a smaller row count for quick tracing.
#include <stdio.h>
int main() {
int rows = 3;
int i, j;
for (i = rows; i >= 1; --i) {
for (j = 1; j < i; ++j)
printf(" ");
for (j = rows; j >= i; --j)
printf("%2d", j);
printf("\n");
}
return 0;
} Only rows changes from 5 to 3 — the indent and number loops stay identical. Trace i = 3, 2, 1 on paper to see how indentation shrinks each row.
#include <stdio.h> brings in printf / scanf. Set loop variables i, j with rows = 5.
for (i = rows; i >= 1; i--) — descending outer loop; row limit shrinks each iteration.
for (j = 1; j < i; j++) — prints " " for right alignment.
for (j = rows; j >= i; j--) then printf("%2d", j) — decreasing sequence.
printf("\n") ends the row after both inner loops finish.
Total numbers = n(n+1)/2 — O(n²) time, O(1) extra memory.
rows = 5Trace each outer-loop value of i, indentation steps, numbers printed, and full row output.
i | Indent steps | Numbers printed | Row output |
|---|---|---|---|
5 | 4 | 5 | 5 |
4 | 3 | 5, 4 | 5 4 |
3 | 2 | 5, 4, 3 | 5 4 3 |
2 | 1 | 5, 4, 3, 2 | 5 4 3 2 |
1 | 0 | 5, 4, 3, 2, 1 | 5 4 3 2 1 |
Indent steps per row = i - 1 — zero when i = 1. Numbers per row = rows - i + 1.
Where this tiny pattern (and its loop structure) shows up beyond the homework prompt.
Clearest visual proof that outer and inner bounds interact.
Example: remove the indent loop and watch the triangle snap left.
Foundation for right-aligned variants with separate space and number loops.
Example: compare with Program 35 (incremental counter) and Program 37 next.
Practice %2d formatting and fixed-width columns.
Example: change %2d to {0,3} for wider spacing on large row counts.
Add two-space indent groups once the three-loop structure works.
Example: use a single space instead of " " and watch columns drift.
Triangular totals make O(n²) concrete for beginners.
Example: count printed numbers for rows = 5 — total is 1+2+3+4+5 = 15.
Pair the pattern with scanf 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.
Why this pattern earns a permanent spot in beginner C courses.
Wrong bounds show up immediately as a broken staircase.
Only loops and console output — no arrays or math libraries.
Invert, center, hollow, or change the fill character with small edits.
Streaming output needs no storage beyond loop counters.
Pro Tip: trace i and both j loops on paper for rows = 3 before coding — watch how indent steps shrink each row.
Small habits that keep number-pattern code clean.
Indent loop (j < i) and number loop (j = rows..i) must run in order before printf("\n").
scanf return valueAvoid undefined behavior when the user types letters instead of a number.
Only call printf("\n") after both inner loops finish the row.
Write the decreasing sequence for each i before coding the number loop.
Trace i = 1..3 on paper before coding the full rows = 5 demo.
Pro Tip: if the output is a vertical list of single digits per line, you almost certainly put printf("\n") inside an inner loop.
Mistakes that commonly break right-aligned decreasing triangles.
Each digit lands on its own line — you get a column, not a triangle.
→ Use printf("%2d", j); printf("\n") only after both inner loops.
Without for (j = 1; j < i; j++), every row starts at the left margin.
→ Run the indent loop before the number loop on every row.
Single spaces instead of " " break column alignment with %2d.
→ Print two spaces per indent step to match the fixed-width number columns.
Plain printf("%d", j) makes multi-digit values crowd earlier columns.
→ Use printf("%2d", j) for consistent column width.
Letters or empty input leave rows uninitialized or unchanged.
→ Check scanf return value and re-prompt on failure.
Check these inputs before calling the solution done.
Output is just 1 with leading spaces — one value, one row.
Outer loop never runs when rows < 1 — print nothing or show a message.
rows < 1Treat as invalid; re-prompt instead of silent empty output.
Two rows: 1 and 2 3.
scanf without a return check is unsafe — validate input.
Total numbers = rows(rows+1)/2 — grows quadratically with rows.
Try these variations to lock in the pattern.
ki prints rows down to ii - 1scanf return value until rows >= 1i = rows..1. Indent loop j = 1..i-1 prints " ". Number loop j = rows..i prints %2d.printf stays on the line; printf("\n") advances — mix them carefully.rows >= 1 for interactive programs; rows = 1 prints a single 1.i - 1 — compare with Program 35 where a continuous counter replaces the per-row sequence.Quick Takeaway: outer i = rows..1, indent j = 1..i-1 with " ", numbers j = rows..i with %2d, then printf("\n").
| Program | Time | Extra space |
|---|---|---|
| Nested loops (Examples 1–3) | O(n²) | O(1) |
| Smaller demo (Example 3) | O(n²) | O(1) |
The right-aligned decreasing number triangle is a compact lesson in dual inner loops and formatted output: indent with " ", print rows down to i with %2d, and end each row with printf("\n"). Master the fixed-rows version, then try user input and a smaller trace demo.
Practice the three examples above, then continue to Program 37 for the next pattern in the series.
Run the indent loop before the number loop — validate rows when reading from the console.
for (i = rows; i >= 1; i--) in the outer loopfor (j = 1; j < i; j++) printf(" ");printf("%2d", j) for j = rows..iscanf return value instead of ignoring bad inputprintf("\n") inside an inner loop" " for indentationrows = 1 edge casePrint the pattern the beginner-friendly way.
Decreasing seq
Definitionj < i spaces
CodeFixed width
Codeprintf("\n") after both inner loops
ShapeO(n²) time
AnalysisEach row starts from rows and counts down to i. An indentation loop prints two spaces per step (j = 1..i-1), then %2d keeps number columns aligned.
Move on to the next pattern in the C number-pattern series.
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