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Original file line number Diff line number Diff line change
@@ -0,0 +1,61 @@
from typing import List, Union, Collection, Mapping, Optional


class Solution:
def minCost(self, nums: List[int], costs: List[int]) -> int:
"""
Example: nums = [3, 1, 2, 4], costs = [1, 2, 3, 4]

From index 0 (value=3):
- Next smaller: index 1 (value=1)
- Next larger: index 3 (value=4)

DP builds cost backwards:
- dp[3] = 0 (at end, no cost)
- dp[2] = dp[3] + costs[3] = 0 + 4 = 4 (can jump to 4)
- dp[1] = dp[2] + costs[2] = 4 + 3 = 7 (can jump to 2)
- dp[0] = min(dp[1]+costs[1], dp[3]+costs[3]) = min(7+2, 0+4) = 4
"""

smallStack = [] # Monotonic increasing (next smaller element)
largeStack = [] # Monotonic decreasing (next larger element)
dp = [0] * len(nums) # dp[i] = min cost from i to end

# Process backwards (right to left)
for i in range(len(nums) - 1, -1, -1):

# Maintain monotonic increasing stack (for next smaller)
# Remove elements >= current (they can't be "next smaller")
while smallStack and nums[smallStack[-1]] >= nums[i]:
smallStack.pop()

# Maintain monotonic decreasing stack (for next larger)
# Remove elements < current (they can't be "next larger")
while largeStack and nums[largeStack[-1]] < nums[i]:
largeStack.pop()

# Calculate minimum cost for this position
nxtCost = []

if largeStack:
lid = largeStack[-1] # Next larger index
nxtCost.append(dp[lid] + costs[lid])

if smallStack:
sid = smallStack[-1] # Next smaller index
nxtCost.append(dp[sid] + costs[sid])

# Min cost from current position to end
dp[i] = min(nxtCost) if nxtCost else 0

# Add current index to both stacks
largeStack.append(i)
smallStack.append(i)

print(smallStack)
print(largeStack)


print(dp)

return dp[0] # Minimum cost from start
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ def orangesRotting(self, grid: List[List[int]]) -> int:
for c in range(n):
if grid[r][c] == 1:
freshy += 1
if grid[r][c] == 2:
elif grid[r][c] == 2:
q.append((r, c))

# Run multi-source BFS
Expand All @@ -35,4 +35,5 @@ def orangesRotting(self, grid: List[List[int]]) -> int:
if rotten_oranges > 0:
time += 1

return time if freshy == 0 else -1
return time if freshy == 0 else -1

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