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Problem: Min Cost Climbing Stairs

Medium
30 min
Explore how to apply dynamic programming techniques to solve the min cost climbing stairs problem. Understand how to calculate the least cost path to reach beyond the last stair by choosing optimal steps while managing constraints. This lesson guides you through building an efficient algorithm to solve optimization problems involving stair costs.

Statement

You are given an integer array, cost, where cost[i] represents the cost of stepping onto the ithi^{th} stair. After paying the cost of the stair you land on, you may climb either one or two steps forward. You may begin your climb from step 00 or step 11 without incurring any initial cost.

Return the minimum total cost required to reach the position just beyond the last stair (the “top”).

Constraints:

  • 22 \leq cost.length 1000\leq 1000

  • 00 \leq cost[i] 999\leq 999

Problem
Ask
Submissions

Problem: Min Cost Climbing Stairs

Medium
30 min
Explore how to apply dynamic programming techniques to solve the min cost climbing stairs problem. Understand how to calculate the least cost path to reach beyond the last stair by choosing optimal steps while managing constraints. This lesson guides you through building an efficient algorithm to solve optimization problems involving stair costs.

Statement

You are given an integer array, cost, where cost[i] represents the cost of stepping onto the ithi^{th} stair. After paying the cost of the stair you land on, you may climb either one or two steps forward. You may begin your climb from step 00 or step 11 without incurring any initial cost.

Return the minimum total cost required to reach the position just beyond the last stair (the “top”).

Constraints:

  • 22 \leq cost.length 1000\leq 1000

  • 00 \leq cost[i] 999\leq 999