Decimal Drift Simulator
Hard
Python
Data Types
12 views
Problem Statement
Read x and n. Repeat n times: x = round(x,2) + 0.1 (decimal rounding half up). Output final x with exactly 2 decimals.
Input Format
• First line: Two values x n
• x is a decimal number
• n is an integer
• x is a decimal number
• n is an integer
Output Format
• Print final value of x after repeating operation n times
• Output with exactly 2 decimal places
• Use decimal rounding half up
• Output with exactly 2 decimal places
• Use decimal rounding half up
Example
1.005 2
1.30
Constraints
• 0 ≤ n ≤ 10^5
• -10^9 ≤ x ≤ 10^9
• -10^9 ≤ x ≤ 10^9
Concept Explanation
Start with x = 1.005
Operation repeated 2 times:
Step 1:
round(1.005, 2) using half up → 1.01
x = 1.01 + 0.1 = 1.11
Step 2:
round(1.11, 2) → 1.11
x = 1.11 + 0.1 = 1.21
Finally round to 2 decimals → 1.30
Operation repeated 2 times:
Step 1:
round(1.005, 2) using half up → 1.01
x = 1.01 + 0.1 = 1.11
Step 2:
round(1.11, 2) → 1.11
x = 1.11 + 0.1 = 1.21
Finally round to 2 decimals → 1.30
Step-by-Step Explanation
1.Read x as string and n as integer.
2.Use Decimal from decimal module for accurate half-up rounding.
3.Convert x to Decimal.
4.Repeat n times:
• Round x to 2 decimal places using ROUND_HALF_UP.
• Add Decimal("0.1") to x.
5.After loop, round final x to 2 decimal places again.
6.Print formatted result with exactly 2 decimals.
2.Use Decimal from decimal module for accurate half-up rounding.
3.Convert x to Decimal.
4.Repeat n times:
• Round x to 2 decimal places using ROUND_HALF_UP.
• Add Decimal("0.1") to x.
5.After loop, round final x to 2 decimal places again.
6.Print formatted result with exactly 2 decimals.
Concept Explanation
Start with x = 1.005
Operation repeated 2 times:
Step 1:
round(1.005, 2) using half up → 1.01
x = 1.01 + 0.1 = 1.11
Step 2:
round(1.11, 2) → 1.11
x = 1.11 + 0.1 = 1.21
Finally round to 2 decimals → 1.30
Operation repeated 2 times:
Step 1:
round(1.005, 2) using half up → 1.01
x = 1.01 + 0.1 = 1.11
Step 2:
round(1.11, 2) → 1.11
x = 1.11 + 0.1 = 1.21
Finally round to 2 decimals → 1.30
Step-by-Step Explanation
1.Read x as string and n as integer.
2.Use Decimal from decimal module for accurate half-up rounding.
3.Convert x to Decimal.
4.Repeat n times:
• Round x to 2 decimal places using ROUND_HALF_UP.
• Add Decimal("0.1") to x.
5.After loop, round final x to 2 decimal places again.
6.Print formatted result with exactly 2 decimals.
2.Use Decimal from decimal module for accurate half-up rounding.
3.Convert x to Decimal.
4.Repeat n times:
• Round x to 2 decimal places using ROUND_HALF_UP.
• Add Decimal("0.1") to x.
5.After loop, round final x to 2 decimal places again.
6.Print formatted result with exactly 2 decimals.
Input / Output Format
Input Format
• First line: Two values x n
• x is a decimal number
• n is an integer
• x is a decimal number
• n is an integer
Output Format
• Print final value of x after repeating operation n times
• Output with exactly 2 decimal places
• Use decimal rounding half up
• Output with exactly 2 decimal places
• Use decimal rounding half up
Constraints
• 0 ≤ n ≤ 10^5
• -10^9 ≤ x ≤ 10^9
• -10^9 ≤ x ≤ 10^9
Examples
Input:
1.005 2
Output:
1.30
Example Solution (Public)
import sysnfrom decimal import Decimal,ROUND_HALF_UPnp=sys.stdin.read().strip().split()nif not p: sys.exit(0)nx=Decimal(p[0])nn=int(p[1])nstep=Decimal('0.1')nfor _ in range(n):n x=x.quantize(Decimal('0.01'), rounding=ROUND_HALF_UP)+stepnx=x.quantize(Decimal('0.01'), rounding=ROUND_HALF_UP)nsys.stdout.write(f'{x:.2f}')
Official Solution Code
import sysnfrom decimal import Decimal,ROUND_HALF_UPnp=sys.stdin.read().strip().split()nif not p: sys.exit(0)nx=Decimal(p[0])nn=int(p[1])nstep=Decimal('0.1')nfor _ in range(n):n x=x.quantize(Decimal('0.01'), rounding=ROUND_HALF_UP)+stepnx=x.quantize(Decimal('0.01'), rounding=ROUND_HALF_UP)nsys.stdout.write(f'{x:.2f}')
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