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Coding Challenge Time Estimator

Coding Challenge Time Estimator predicts completion time, adjusted time, and confidence based on difficulty and experience.

Formulas Used in Coding Challenge Time Estimator

The calculator uses the following formulas to estimate coding challenge time:

Estimated Completion Time:

\\[ T_e = \frac{D}{E \cdot F} \\]

Difficulty-Adjusted Time:

\\[ T_a = T_e \cdot \frac{D}{D_{\text{max}}} \\]

Confidence Level:

\\[ C_l = \min\left(100 \cdot \frac{H}{T_a \cdot H_{\text{max}}}, 100\right) \\]

Where:

  • \\( T_e \\): Estimated completion time (hours)
  • \\( D \\): Problem difficulty (1–10)
  • \\( E \\): Coding experience multiplier (Beginner: 0.5, Intermediate: 1.0, Expert: 1.5)
  • \\( F \\): Language familiarity multiplier (Low: 0.7, Medium: 1.0, High: 1.3)
  • \\( T_a \\): Difficulty-adjusted time (hours)
  • \\( D_{\text{max}} \\): Maximum reference difficulty (10)
  • \\( C_l \\): Confidence level (%)
  • \\( H \\): Available hours
  • \\( H_{\text{max}} \\): Maximum reference hours (10 hours)

Example Calculations

Example 1: Easy Problem, Beginner Coder, Low Familiarity, Limited Hours

Input: Problem Difficulty = 3, Coding Experience = Beginner, Available Hours = 1, Language Familiarity = Low

\\[ T_e = \frac{D}{E \cdot F} = \frac{3}{0.5 \cdot 0.7} = 8.57 \ \text{hours} \\] \\[ T_a = T_e \cdot \frac{D}{D_{\text{max}}} = 8.57 \cdot \frac{3}{10} = 2.57 \ \text{hours} \\] \\[ C_l = \min\left(100 \cdot \frac{H}{T_a \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{1}{2.57 \cdot 10}, 100\right) = 3.89 \ \% \\]

Result: Estimated Completion Time: 8.57 hours, Difficulty-Adjusted Time: 2.57 hours, Confidence Level: 3.89%

Example 2: Moderate Problem, Intermediate Coder, Medium Familiarity, Average Hours

Input: Problem Difficulty = 5, Coding Experience = Intermediate, Available Hours = 2, Language Familiarity = Medium

\\[ T_e = \frac{D}{E \cdot F} = \frac{5}{1.0 \cdot 1.0} = 5 \ \text{hours} \\] \\[ T_a = T_e \cdot \frac{D}{D_{\text{max}}} = 5 \cdot \frac{5}{10} = 2.5 \ \text{hours} \\] \\[ C_l = \min\left(100 \cdot \frac{H}{T_a \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{2}{2.5 \cdot 10}, 100\right) = 8 \ \% \\]

Result: Estimated Completion Time: 5 hours, Difficulty-Adjusted Time: 2.5 hours, Confidence Level: 8%

Example 3: Hard Problem, Expert Coder, High Familiarity, Ample Hours

Input: Problem Difficulty = 8, Coding Experience = Expert, Available Hours = 5, Language Familiarity = High

\\[ T_e = \frac{D}{E \cdot F} = \frac{8}{1.5 \cdot 1.3} = 4.1 \ \text{hours} \\] \\[ T_a = T_e \cdot \frac{D}{D_{\text{max}}} = 4.1 \cdot \frac{8}{10} = 3.28 \ \text{hours} \\] \\[ C_l = \min\left(100 \cdot \frac{H}{T_a \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{5}{3.28 \cdot 10}, 100\right) = 15.24 \ \% \\]

Result: Estimated Completion Time: 4.1 hours, Difficulty-Adjusted Time: 3.28 hours, Confidence Level: 15.24%

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