Compare Floats with Epsilon
Medium
Python
Data Types
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Problem Statement
Read two floats a and b. If |a-b| < 1e-9 output EQUAL. Else output GREATER if a>b else SMALLER.
Input Format
• First line: Two space-separated floats a b
Output Format
• Print one word:
• EQUAL if |a - b| < 1e-9
• GREATER if a > b
• SMALLER if a < b
• EQUAL if |a - b| < 1e-9
• GREATER if a > b
• SMALLER if a < b
Example
0.1 0.1000000005
EQUAL
Constraints
• -10^9 ≤ a, b ≤ 10^9
Concept Explanation
Input:
a = 1.000000001
b = 1.0
Difference = |a - b| = 0.000000001
Since it is less than 1e-9,
we treat them as equal.
a = 1.000000001
b = 1.0
Difference = |a - b| = 0.000000001
Since it is less than 1e-9,
we treat them as equal.
Step-by-Step Explanation
1.Read floats a and b.
2.Compute diff = abs(a - b).
3.If diff < 1e-9, print "EQUAL".
4.Else if a > b, print "GREATER".
5.Otherwise, print "SMALLER".
2.Compute diff = abs(a - b).
3.If diff < 1e-9, print "EQUAL".
4.Else if a > b, print "GREATER".
5.Otherwise, print "SMALLER".
Concept Explanation
Input:
a = 1.000000001
b = 1.0
Difference = |a - b| = 0.000000001
Since it is less than 1e-9,
we treat them as equal.
a = 1.000000001
b = 1.0
Difference = |a - b| = 0.000000001
Since it is less than 1e-9,
we treat them as equal.
Step-by-Step Explanation
1.Read floats a and b.
2.Compute diff = abs(a - b).
3.If diff < 1e-9, print "EQUAL".
4.Else if a > b, print "GREATER".
5.Otherwise, print "SMALLER".
2.Compute diff = abs(a - b).
3.If diff < 1e-9, print "EQUAL".
4.Else if a > b, print "GREATER".
5.Otherwise, print "SMALLER".
Input / Output Format
Input Format
• First line: Two space-separated floats a b
Output Format
• Print one word:
• EQUAL if |a - b| < 1e-9
• GREATER if a > b
• SMALLER if a < b
• EQUAL if |a - b| < 1e-9
• GREATER if a > b
• SMALLER if a < b
Constraints
• -10^9 ≤ a, b ≤ 10^9
Examples
Input:
0.1 0.1000000005
Output:
EQUAL
Example Solution (Public)
import sysnp=sys.stdin.read().strip().split()nif not p: sys.exit(0)na=float(p[0]); b=float(p[1])nif abs(a-b)<1e-9:n sys.stdout.write('EQUAL')nelif a>b:n sys.stdout.write('GREATER')nelse:n sys.stdout.write('SMALLER')
Official Solution Code
import sysnp=sys.stdin.read().strip().split()nif not p: sys.exit(0)na=float(p[0]); b=float(p[1])nif abs(a-b)<1e-9:n sys.stdout.write('EQUAL')nelif a>b:n sys.stdout.write('GREATER')nelse:n sys.stdout.write('SMALLER')
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