Modulo Magic
Hard
C
Operators
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Problem Statement
Test the modulo operator with negative numbers. What result will -7 % 3 give? What difference can there be between different couplings?
Input Format
An expression using modulo operator with negative numbers:
-7 % 3
-7 % 3
Output Format
Result of the modulo operation.
Example
-7 % 3
-1 (in C / C++)
Constraints
• Integer operands
• Language-dependent behavior
• Language-dependent behavior
Concept Explanation
The modulo operator (%) returns the remainder after division.
How the remainder is calculated depends on how division is defined in the language
How the remainder is calculated depends on how division is defined in the language
Step-by-Step Explanation
1.Division is performed first:
• In C/C++, integer division truncates toward zero.
• -7 / 3 = -2 (truncated toward zero).
2.Modulo is calculated using the rule:
• a % b = a − (a / b) × b
3.Substitute values:
• -7 − (−2 × 3)
• -7 + 6
• -1
4.So the result is -1.
• In C/C++, integer division truncates toward zero.
• -7 / 3 = -2 (truncated toward zero).
2.Modulo is calculated using the rule:
• a % b = a − (a / b) × b
3.Substitute values:
• -7 − (−2 × 3)
• -7 + 6
• -1
4.So the result is -1.
Concept Explanation
The modulo operator (%) returns the remainder after division.
How the remainder is calculated depends on how division is defined in the language
How the remainder is calculated depends on how division is defined in the language
Step-by-Step Explanation
1.Division is performed first:
• In C/C++, integer division truncates toward zero.
• -7 / 3 = -2 (truncated toward zero).
2.Modulo is calculated using the rule:
• a % b = a − (a / b) × b
3.Substitute values:
• -7 − (−2 × 3)
• -7 + 6
• -1
4.So the result is -1.
• In C/C++, integer division truncates toward zero.
• -7 / 3 = -2 (truncated toward zero).
2.Modulo is calculated using the rule:
• a % b = a − (a / b) × b
3.Substitute values:
• -7 − (−2 × 3)
• -7 + 6
• -1
4.So the result is -1.
Input / Output Format
Input Format
An expression using modulo operator with negative numbers:
-7 % 3
-7 % 3
Output Format
Result of the modulo operation.
Constraints
• Integer operands
• Language-dependent behavior
• Language-dependent behavior
Examples
Input:
-7 % 3
Output:
-1 (in C / C++)
Example Solution (Public)
#include <stdio.h>
int main() {
int a = -7;
int b = 3;
printf("-7 %% 3 = %dn", a % b);
printf("-7 / 3 = %dn", a / b);
return 0;
}
Official Solution Code
#include <stdio.h>
int main() {
int a = -7;
int b = 3;
printf("-7 %% 3 = %dn", a % b);
printf("-7 / 3 = %dn", a / b);
return 0;
}
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